TSTP Solution File: SYN482+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN482+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 : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 12:10:52 EDT 2024

% Result   : Theorem 0.20s 0.45s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  145
% Syntax   : Number of formulae    :  900 (   1 unt;   0 def)
%            Number of atoms       : 7960 (   0 equ)
%            Maximal formula atoms :  765 (   8 avg)
%            Number of connectives : 11040 (3980   ~;5210   |;1194   &)
%                                         ( 144 <=>; 512  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  113 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  181 ( 180 usr; 177 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   : 1032 (1032   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4287,plain,
    $false,
    inference(avatar_sat_refutation,[],[f306,f315,f327,f347,f365,f369,f373,f385,f393,f409,f413,f414,f415,f416,f421,f426,f431,f439,f440,f445,f446,f450,f454,f458,f459,f460,f461,f470,f471,f476,f480,f485,f489,f490,f495,f496,f498,f500,f501,f503,f511,f512,f521,f522,f526,f527,f529,f530,f550,f555,f560,f565,f571,f576,f581,f587,f592,f597,f603,f608,f613,f651,f656,f661,f667,f672,f677,f683,f688,f693,f699,f704,f709,f715,f720,f725,f731,f736,f741,f747,f752,f757,f763,f768,f773,f779,f784,f789,f795,f800,f805,f811,f816,f821,f822,f827,f832,f837,f843,f848,f853,f859,f869,f875,f885,f907,f912,f917,f918,f939,f944,f949,f971,f976,f981,f987,f992,f997,f1003,f1008,f1013,f1014,f1019,f1024,f1029,f1040,f1045,f1054,f1078,f1090,f1144,f1204,f1206,f1231,f1234,f1265,f1282,f1285,f1304,f1324,f1327,f1331,f1344,f1381,f1387,f1405,f1407,f1420,f1450,f1522,f1536,f1553,f1615,f1688,f1713,f1758,f1816,f2036,f2046,f2050,f2061,f2210,f2214,f2328,f2383,f2392,f2404,f2423,f2452,f2457,f2497,f2504,f2545,f2548,f2576,f2601,f2606,f2610,f2701,f2707,f2749,f2752,f2778,f2811,f2835,f2841,f2842,f2929,f2936,f2985,f3143,f3158,f3159,f3225,f3241,f3250,f3309,f3320,f3392,f3420,f3437,f3440,f3443,f3447,f3465,f3468,f3471,f3520,f3522,f3543,f3621,f3671,f3682,f3752,f3821,f3856,f3896,f3930,f3932,f3935,f3936,f3953,f4051,f4094,f4098,f4121,f4243,f4285]) ).

fof(f4285,plain,
    ( ~ spl0_27
    | spl0_142
    | ~ spl0_144
    | ~ spl0_164 ),
    inference(avatar_contradiction_clause,[],[f4284]) ).

fof(f4284,plain,
    ( $false
    | ~ spl0_27
    | spl0_142
    | ~ spl0_144
    | ~ spl0_164 ),
    inference(subsumption_resolution,[],[f4283,f1292]) ).

fof(f1292,plain,
    ( c0_1(a1759)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1291]) ).

fof(f1291,plain,
    ( spl0_164
  <=> c0_1(a1759) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f4283,plain,
    ( ~ c0_1(a1759)
    | ~ spl0_27
    | spl0_142
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f4267,f970]) ).

fof(f970,plain,
    ( ~ c3_1(a1759)
    | spl0_142 ),
    inference(avatar_component_clause,[],[f968]) ).

fof(f968,plain,
    ( spl0_142
  <=> c3_1(a1759) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f4267,plain,
    ( c3_1(a1759)
    | ~ c0_1(a1759)
    | ~ spl0_27
    | ~ spl0_144 ),
    inference(resolution,[],[f368,f980]) ).

fof(f980,plain,
    ( c1_1(a1759)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f978]) ).

fof(f978,plain,
    ( spl0_144
  <=> c1_1(a1759) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f368,plain,
    ( ! [X8] :
        ( ~ c1_1(X8)
        | c3_1(X8)
        | ~ c0_1(X8) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f367,plain,
    ( spl0_27
  <=> ! [X8] :
        ( ~ c1_1(X8)
        | c3_1(X8)
        | ~ c0_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f4243,plain,
    ( ~ spl0_18
    | ~ spl0_23
    | ~ spl0_32
    | ~ spl0_38
    | ~ spl0_149
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f4242]) ).

fof(f4242,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_23
    | ~ spl0_32
    | ~ spl0_38
    | ~ spl0_149
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f4226,f1007]) ).

fof(f1007,plain,
    ( c1_1(a1757)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f1005]) ).

fof(f1005,plain,
    ( spl0_149
  <=> c1_1(a1757) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f4226,plain,
    ( ~ c1_1(a1757)
    | ~ spl0_18
    | ~ spl0_23
    | ~ spl0_32
    | ~ spl0_38
    | ~ spl0_150 ),
    inference(resolution,[],[f4225,f1012]) ).

fof(f1012,plain,
    ( c0_1(a1757)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1010]) ).

fof(f1010,plain,
    ( spl0_150
  <=> c0_1(a1757) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f4225,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_18
    | ~ spl0_23
    | ~ spl0_32
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f330,f4222]) ).

fof(f4222,plain,
    ( ! [X12] :
        ( c3_1(X12)
        | ~ c0_1(X12) )
    | ~ spl0_23
    | ~ spl0_32
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f388,f4135]) ).

fof(f4135,plain,
    ( ! [X21] :
        ( c3_1(X21)
        | ~ c2_1(X21) )
    | ~ spl0_23
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f412,f350]) ).

fof(f350,plain,
    ( ! [X3] :
        ( ~ c1_1(X3)
        | c3_1(X3)
        | ~ c2_1(X3) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f349,plain,
    ( spl0_23
  <=> ! [X3] :
        ( ~ c2_1(X3)
        | c3_1(X3)
        | ~ c1_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f412,plain,
    ( ! [X21] :
        ( c3_1(X21)
        | c1_1(X21)
        | ~ c2_1(X21) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f411,plain,
    ( spl0_38
  <=> ! [X21] :
        ( ~ c2_1(X21)
        | c1_1(X21)
        | c3_1(X21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f388,plain,
    ( ! [X12] :
        ( c3_1(X12)
        | c2_1(X12)
        | ~ c0_1(X12) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f387,plain,
    ( spl0_32
  <=> ! [X12] :
        ( ~ c0_1(X12)
        | c2_1(X12)
        | c3_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f330,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f329,plain,
    ( spl0_18
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f4121,plain,
    ( ~ spl0_51
    | ~ spl0_57
    | spl0_85
    | spl0_87 ),
    inference(avatar_contradiction_clause,[],[f4120]) ).

fof(f4120,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_57
    | spl0_85
    | spl0_87 ),
    inference(subsumption_resolution,[],[f4113,f676]) ).

fof(f676,plain,
    ( ~ c0_1(a1807)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f674,plain,
    ( spl0_87
  <=> c0_1(a1807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f4113,plain,
    ( c0_1(a1807)
    | ~ spl0_51
    | ~ spl0_57
    | spl0_85 ),
    inference(resolution,[],[f4102,f666]) ).

fof(f666,plain,
    ( ~ c3_1(a1807)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f664,plain,
    ( spl0_85
  <=> c3_1(a1807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f4102,plain,
    ( ! [X66] :
        ( c3_1(X66)
        | c0_1(X66) )
    | ~ spl0_51
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f479,f515]) ).

fof(f515,plain,
    ( ! [X97] :
        ( c3_1(X97)
        | c0_1(X97)
        | c2_1(X97) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f514,plain,
    ( spl0_57
  <=> ! [X97] :
        ( c3_1(X97)
        | c0_1(X97)
        | c2_1(X97) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f479,plain,
    ( ! [X66] :
        ( ~ c2_1(X66)
        | c0_1(X66)
        | c3_1(X66) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f478,plain,
    ( spl0_51
  <=> ! [X66] :
        ( ~ c2_1(X66)
        | c0_1(X66)
        | c3_1(X66) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f4098,plain,
    ( ~ spl0_23
    | ~ spl0_41
    | ~ spl0_45
    | ~ spl0_47
    | spl0_115
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(avatar_contradiction_clause,[],[f4097]) ).

fof(f4097,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_41
    | ~ spl0_45
    | ~ spl0_47
    | spl0_115
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(subsumption_resolution,[],[f4083,f826]) ).

fof(f826,plain,
    ( ~ c0_1(a1771)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f824]) ).

fof(f824,plain,
    ( spl0_115
  <=> c0_1(a1771) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f4083,plain,
    ( c0_1(a1771)
    | ~ spl0_23
    | ~ spl0_41
    | ~ spl0_45
    | ~ spl0_47
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(resolution,[],[f4074,f4033]) ).

fof(f4033,plain,
    ( c3_1(a1771)
    | ~ spl0_23
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(subsumption_resolution,[],[f4017,f831]) ).

fof(f831,plain,
    ( c2_1(a1771)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f829,plain,
    ( spl0_116
  <=> c2_1(a1771) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f4017,plain,
    ( c3_1(a1771)
    | ~ c2_1(a1771)
    | ~ spl0_23
    | ~ spl0_117 ),
    inference(resolution,[],[f350,f836]) ).

fof(f836,plain,
    ( c1_1(a1771)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f834]) ).

fof(f834,plain,
    ( spl0_117
  <=> c1_1(a1771) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f4074,plain,
    ( ! [X52] :
        ( ~ c3_1(X52)
        | c0_1(X52) )
    | ~ spl0_41
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(subsumption_resolution,[],[f457,f3940]) ).

fof(f3940,plain,
    ( ! [X46] :
        ( ~ c3_1(X46)
        | c1_1(X46) )
    | ~ spl0_41
    | ~ spl0_45 ),
    inference(subsumption_resolution,[],[f449,f429]) ).

fof(f429,plain,
    ( ! [X37] :
        ( ~ c3_1(X37)
        | c1_1(X37)
        | c2_1(X37) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f428,plain,
    ( spl0_41
  <=> ! [X37] :
        ( ~ c3_1(X37)
        | c1_1(X37)
        | c2_1(X37) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f449,plain,
    ( ! [X46] :
        ( ~ c3_1(X46)
        | c1_1(X46)
        | ~ c2_1(X46) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f448,plain,
    ( spl0_45
  <=> ! [X46] :
        ( ~ c3_1(X46)
        | c1_1(X46)
        | ~ c2_1(X46) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f457,plain,
    ( ! [X52] :
        ( ~ c1_1(X52)
        | c0_1(X52)
        | ~ c3_1(X52) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f456,plain,
    ( spl0_47
  <=> ! [X52] :
        ( ~ c3_1(X52)
        | c0_1(X52)
        | ~ c1_1(X52) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f4094,plain,
    ( ~ spl0_41
    | ~ spl0_45
    | ~ spl0_47
    | spl0_136
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f4093]) ).

fof(f4093,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_45
    | ~ spl0_47
    | spl0_136
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f4079,f938]) ).

fof(f938,plain,
    ( ~ c0_1(a1762)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f936,plain,
    ( spl0_136
  <=> c0_1(a1762) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f4079,plain,
    ( c0_1(a1762)
    | ~ spl0_41
    | ~ spl0_45
    | ~ spl0_47
    | ~ spl0_137 ),
    inference(resolution,[],[f4074,f943]) ).

fof(f943,plain,
    ( c3_1(a1762)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f941]) ).

fof(f941,plain,
    ( spl0_137
  <=> c3_1(a1762) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f4051,plain,
    ( ~ spl0_36
    | ~ spl0_47
    | ~ spl0_59
    | spl0_136
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f4050]) ).

fof(f4050,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_47
    | ~ spl0_59
    | spl0_136
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f4037,f938]) ).

fof(f4037,plain,
    ( c0_1(a1762)
    | ~ spl0_36
    | ~ spl0_47
    | ~ spl0_59
    | ~ spl0_137 ),
    inference(resolution,[],[f4034,f943]) ).

fof(f4034,plain,
    ( ! [X52] :
        ( ~ c3_1(X52)
        | c0_1(X52) )
    | ~ spl0_36
    | ~ spl0_47
    | ~ spl0_59 ),
    inference(subsumption_resolution,[],[f457,f3938]) ).

fof(f3938,plain,
    ( ! [X105] :
        ( ~ c3_1(X105)
        | c1_1(X105) )
    | ~ spl0_36
    | ~ spl0_59 ),
    inference(subsumption_resolution,[],[f525,f404]) ).

fof(f404,plain,
    ( ! [X16] :
        ( ~ c3_1(X16)
        | c1_1(X16)
        | ~ c0_1(X16) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f403,plain,
    ( spl0_36
  <=> ! [X16] :
        ( ~ c3_1(X16)
        | c1_1(X16)
        | ~ c0_1(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f525,plain,
    ( ! [X105] :
        ( ~ c3_1(X105)
        | c0_1(X105)
        | c1_1(X105) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f524,plain,
    ( spl0_59
  <=> ! [X105] :
        ( ~ c3_1(X105)
        | c0_1(X105)
        | c1_1(X105) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f3953,plain,
    ( ~ spl0_105
    | ~ spl0_21
    | ~ spl0_37
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f3950,f2129,f407,f341,f770]) ).

fof(f770,plain,
    ( spl0_105
  <=> c2_1(a1781) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f341,plain,
    ( spl0_21
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f407,plain,
    ( spl0_37
  <=> ! [X19] :
        ( ~ c2_1(X19)
        | c1_1(X19)
        | ~ c0_1(X19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f2129,plain,
    ( spl0_169
  <=> c0_1(a1781) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f3950,plain,
    ( ~ c2_1(a1781)
    | ~ spl0_21
    | ~ spl0_37
    | ~ spl0_169 ),
    inference(resolution,[],[f2130,f3351]) ).

fof(f3351,plain,
    ( ! [X19] :
        ( ~ c0_1(X19)
        | ~ c2_1(X19) )
    | ~ spl0_21
    | ~ spl0_37 ),
    inference(subsumption_resolution,[],[f408,f342]) ).

fof(f342,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f408,plain,
    ( ! [X19] :
        ( ~ c2_1(X19)
        | c1_1(X19)
        | ~ c0_1(X19) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f2130,plain,
    ( c0_1(a1781)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f2129]) ).

fof(f3936,plain,
    ( ~ spl0_131
    | ~ spl0_21
    | ~ spl0_37
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f3353,f914,f407,f341,f909]) ).

fof(f909,plain,
    ( spl0_131
  <=> c2_1(a1765) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f914,plain,
    ( spl0_132
  <=> c0_1(a1765) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f3353,plain,
    ( ~ c2_1(a1765)
    | ~ spl0_21
    | ~ spl0_37
    | ~ spl0_132 ),
    inference(resolution,[],[f3351,f916]) ).

fof(f916,plain,
    ( c0_1(a1765)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f914]) ).

fof(f3935,plain,
    ( ~ spl0_36
    | ~ spl0_59
    | ~ spl0_67
    | spl0_165 ),
    inference(avatar_contradiction_clause,[],[f3934]) ).

fof(f3934,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_59
    | ~ spl0_67
    | spl0_165 ),
    inference(subsumption_resolution,[],[f3926,f1413]) ).

fof(f1413,plain,
    ( ~ c1_1(a1805)
    | spl0_165 ),
    inference(avatar_component_clause,[],[f1412]) ).

fof(f1412,plain,
    ( spl0_165
  <=> c1_1(a1805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f3926,plain,
    ( c1_1(a1805)
    | ~ spl0_36
    | ~ spl0_59
    | ~ spl0_67 ),
    inference(resolution,[],[f3911,f570]) ).

fof(f570,plain,
    ( c3_1(a1805)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f568,plain,
    ( spl0_67
  <=> c3_1(a1805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f3911,plain,
    ( ! [X105] :
        ( ~ c3_1(X105)
        | c1_1(X105) )
    | ~ spl0_36
    | ~ spl0_59 ),
    inference(subsumption_resolution,[],[f525,f404]) ).

fof(f3932,plain,
    ( ~ spl0_36
    | ~ spl0_59
    | spl0_103
    | ~ spl0_104 ),
    inference(avatar_contradiction_clause,[],[f3931]) ).

fof(f3931,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_59
    | spl0_103
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f3920,f762]) ).

fof(f762,plain,
    ( ~ c1_1(a1781)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f760,plain,
    ( spl0_103
  <=> c1_1(a1781) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f3920,plain,
    ( c1_1(a1781)
    | ~ spl0_36
    | ~ spl0_59
    | ~ spl0_104 ),
    inference(resolution,[],[f3911,f767]) ).

fof(f767,plain,
    ( c3_1(a1781)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f765]) ).

fof(f765,plain,
    ( spl0_104
  <=> c3_1(a1781) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f3930,plain,
    ( ~ spl0_36
    | ~ spl0_59
    | spl0_124
    | ~ spl0_126 ),
    inference(avatar_contradiction_clause,[],[f3929]) ).

fof(f3929,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_59
    | spl0_124
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f3917,f874]) ).

fof(f874,plain,
    ( ~ c1_1(a1767)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f872]) ).

fof(f872,plain,
    ( spl0_124
  <=> c1_1(a1767) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f3917,plain,
    ( c1_1(a1767)
    | ~ spl0_36
    | ~ spl0_59
    | ~ spl0_126 ),
    inference(resolution,[],[f3911,f884]) ).

fof(f884,plain,
    ( c3_1(a1767)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f882,plain,
    ( spl0_126
  <=> c3_1(a1767) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f3896,plain,
    ( ~ spl0_38
    | spl0_85
    | spl0_86
    | ~ spl0_162 ),
    inference(avatar_contradiction_clause,[],[f3895]) ).

fof(f3895,plain,
    ( $false
    | ~ spl0_38
    | spl0_85
    | spl0_86
    | ~ spl0_162 ),
    inference(subsumption_resolution,[],[f3894,f1273]) ).

fof(f1273,plain,
    ( c2_1(a1807)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1271]) ).

fof(f1271,plain,
    ( spl0_162
  <=> c2_1(a1807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f3894,plain,
    ( ~ c2_1(a1807)
    | ~ spl0_38
    | spl0_85
    | spl0_86 ),
    inference(subsumption_resolution,[],[f3890,f671]) ).

fof(f671,plain,
    ( ~ c1_1(a1807)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f669,plain,
    ( spl0_86
  <=> c1_1(a1807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f3890,plain,
    ( c1_1(a1807)
    | ~ c2_1(a1807)
    | ~ spl0_38
    | spl0_85 ),
    inference(resolution,[],[f412,f666]) ).

fof(f3856,plain,
    ( ~ spl0_47
    | ~ spl0_53
    | spl0_115
    | ~ spl0_117 ),
    inference(avatar_contradiction_clause,[],[f3855]) ).

fof(f3855,plain,
    ( $false
    | ~ spl0_47
    | ~ spl0_53
    | spl0_115
    | ~ spl0_117 ),
    inference(subsumption_resolution,[],[f3840,f826]) ).

fof(f3840,plain,
    ( c0_1(a1771)
    | ~ spl0_47
    | ~ spl0_53
    | ~ spl0_117 ),
    inference(resolution,[],[f3831,f836]) ).

fof(f3831,plain,
    ( ! [X72] :
        ( ~ c1_1(X72)
        | c0_1(X72) )
    | ~ spl0_47
    | ~ spl0_53 ),
    inference(subsumption_resolution,[],[f488,f457]) ).

fof(f488,plain,
    ( ! [X72] :
        ( c3_1(X72)
        | c0_1(X72)
        | ~ c1_1(X72) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f487,plain,
    ( spl0_53
  <=> ! [X72] :
        ( ~ c1_1(X72)
        | c0_1(X72)
        | c3_1(X72) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f3821,plain,
    ( spl0_152
    | ~ spl0_47
    | ~ spl0_153
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f3820,f2612,f1026,f456,f1021]) ).

fof(f1021,plain,
    ( spl0_152
  <=> c0_1(a1755) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1026,plain,
    ( spl0_153
  <=> c1_1(a1755) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f2612,plain,
    ( spl0_171
  <=> c3_1(a1755) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f3820,plain,
    ( c0_1(a1755)
    | ~ spl0_47
    | ~ spl0_153
    | ~ spl0_171 ),
    inference(subsumption_resolution,[],[f3773,f2613]) ).

fof(f2613,plain,
    ( c3_1(a1755)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f2612]) ).

fof(f3773,plain,
    ( c0_1(a1755)
    | ~ c3_1(a1755)
    | ~ spl0_47
    | ~ spl0_153 ),
    inference(resolution,[],[f457,f1028]) ).

fof(f1028,plain,
    ( c1_1(a1755)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f1026]) ).

fof(f3752,plain,
    ( ~ spl0_18
    | ~ spl0_73
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(avatar_contradiction_clause,[],[f3751]) ).

fof(f3751,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_73
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(subsumption_resolution,[],[f3750,f602]) ).

fof(f602,plain,
    ( c3_1(a1756)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f600,plain,
    ( spl0_73
  <=> c3_1(a1756) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f3750,plain,
    ( ~ c3_1(a1756)
    | ~ spl0_18
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(subsumption_resolution,[],[f3733,f612]) ).

fof(f612,plain,
    ( c0_1(a1756)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f610,plain,
    ( spl0_75
  <=> c0_1(a1756) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f3733,plain,
    ( ~ c0_1(a1756)
    | ~ c3_1(a1756)
    | ~ spl0_18
    | ~ spl0_74 ),
    inference(resolution,[],[f330,f607]) ).

fof(f607,plain,
    ( c1_1(a1756)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f605,plain,
    ( spl0_74
  <=> c1_1(a1756) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f3682,plain,
    ( spl0_162
    | spl0_87
    | ~ spl0_57
    | spl0_85 ),
    inference(avatar_split_clause,[],[f3488,f664,f514,f674,f1271]) ).

fof(f3488,plain,
    ( c0_1(a1807)
    | c2_1(a1807)
    | ~ spl0_57
    | spl0_85 ),
    inference(resolution,[],[f515,f666]) ).

fof(f3671,plain,
    ( ~ spl0_54
    | ~ spl0_57
    | spl0_151
    | spl0_152 ),
    inference(avatar_contradiction_clause,[],[f3670]) ).

fof(f3670,plain,
    ( $false
    | ~ spl0_54
    | ~ spl0_57
    | spl0_151
    | spl0_152 ),
    inference(subsumption_resolution,[],[f3655,f1018]) ).

fof(f1018,plain,
    ( ~ c2_1(a1755)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f1016]) ).

fof(f1016,plain,
    ( spl0_151
  <=> c2_1(a1755) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f3655,plain,
    ( c2_1(a1755)
    | ~ spl0_54
    | ~ spl0_57
    | spl0_152 ),
    inference(resolution,[],[f3622,f1023]) ).

fof(f1023,plain,
    ( ~ c0_1(a1755)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f1021]) ).

fof(f3622,plain,
    ( ! [X77] :
        ( c0_1(X77)
        | c2_1(X77) )
    | ~ spl0_54
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f494,f515]) ).

fof(f494,plain,
    ( ! [X77] :
        ( ~ c3_1(X77)
        | c0_1(X77)
        | c2_1(X77) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f493,plain,
    ( spl0_54
  <=> ! [X77] :
        ( ~ c3_1(X77)
        | c0_1(X77)
        | c2_1(X77) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f3621,plain,
    ( ~ spl0_21
    | ~ spl0_37
    | ~ spl0_52
    | ~ spl0_73
    | ~ spl0_75 ),
    inference(avatar_contradiction_clause,[],[f3620]) ).

fof(f3620,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_37
    | ~ spl0_52
    | ~ spl0_73
    | ~ spl0_75 ),
    inference(subsumption_resolution,[],[f3616,f602]) ).

fof(f3616,plain,
    ( ~ c3_1(a1756)
    | ~ spl0_21
    | ~ spl0_37
    | ~ spl0_52
    | ~ spl0_75 ),
    inference(resolution,[],[f3598,f612]) ).

fof(f3598,plain,
    ( ! [X67] :
        ( ~ c0_1(X67)
        | ~ c3_1(X67) )
    | ~ spl0_21
    | ~ spl0_37
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f483,f3351]) ).

fof(f483,plain,
    ( ! [X67] :
        ( ~ c3_1(X67)
        | c2_1(X67)
        | ~ c0_1(X67) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f482,plain,
    ( spl0_52
  <=> ! [X67] :
        ( ~ c3_1(X67)
        | c2_1(X67)
        | ~ c0_1(X67) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f3543,plain,
    ( ~ spl0_39
    | spl0_100
    | spl0_102
    | ~ spl0_163 ),
    inference(avatar_contradiction_clause,[],[f3542]) ).

fof(f3542,plain,
    ( $false
    | ~ spl0_39
    | spl0_100
    | spl0_102
    | ~ spl0_163 ),
    inference(subsumption_resolution,[],[f3541,f746]) ).

fof(f746,plain,
    ( ~ c3_1(a1782)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f744]) ).

fof(f744,plain,
    ( spl0_100
  <=> c3_1(a1782) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f3541,plain,
    ( c3_1(a1782)
    | ~ spl0_39
    | spl0_102
    | ~ spl0_163 ),
    inference(subsumption_resolution,[],[f3538,f756]) ).

fof(f756,plain,
    ( ~ c1_1(a1782)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f754,plain,
    ( spl0_102
  <=> c1_1(a1782) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f3538,plain,
    ( c1_1(a1782)
    | c3_1(a1782)
    | ~ spl0_39
    | ~ spl0_163 ),
    inference(resolution,[],[f1280,f420]) ).

fof(f420,plain,
    ( ! [X31] :
        ( ~ c0_1(X31)
        | c1_1(X31)
        | c3_1(X31) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f419,plain,
    ( spl0_39
  <=> ! [X31] :
        ( ~ c0_1(X31)
        | c1_1(X31)
        | c3_1(X31) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1280,plain,
    ( c0_1(a1782)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1279]) ).

fof(f1279,plain,
    ( spl0_163
  <=> c0_1(a1782) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f3522,plain,
    ( spl0_164
    | ~ spl0_57
    | spl0_142
    | spl0_143 ),
    inference(avatar_split_clause,[],[f3521,f973,f968,f514,f1291]) ).

fof(f973,plain,
    ( spl0_143
  <=> c2_1(a1759) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f3521,plain,
    ( c0_1(a1759)
    | ~ spl0_57
    | spl0_142
    | spl0_143 ),
    inference(subsumption_resolution,[],[f3480,f975]) ).

fof(f975,plain,
    ( ~ c2_1(a1759)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f973]) ).

fof(f3480,plain,
    ( c0_1(a1759)
    | c2_1(a1759)
    | ~ spl0_57
    | spl0_142 ),
    inference(resolution,[],[f515,f970]) ).

fof(f3520,plain,
    ( spl0_163
    | ~ spl0_57
    | spl0_100
    | spl0_101 ),
    inference(avatar_split_clause,[],[f3519,f749,f744,f514,f1279]) ).

fof(f749,plain,
    ( spl0_101
  <=> c2_1(a1782) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f3519,plain,
    ( c0_1(a1782)
    | ~ spl0_57
    | spl0_100
    | spl0_101 ),
    inference(subsumption_resolution,[],[f3485,f751]) ).

fof(f751,plain,
    ( ~ c2_1(a1782)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f749]) ).

fof(f3485,plain,
    ( c0_1(a1782)
    | c2_1(a1782)
    | ~ spl0_57
    | spl0_100 ),
    inference(resolution,[],[f515,f746]) ).

fof(f3471,plain,
    ( ~ spl0_54
    | spl0_88
    | spl0_89
    | ~ spl0_90 ),
    inference(avatar_contradiction_clause,[],[f3470]) ).

fof(f3470,plain,
    ( $false
    | ~ spl0_54
    | spl0_88
    | spl0_89
    | ~ spl0_90 ),
    inference(subsumption_resolution,[],[f3469,f682]) ).

fof(f682,plain,
    ( ~ c2_1(a1799)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f680,plain,
    ( spl0_88
  <=> c2_1(a1799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f3469,plain,
    ( c2_1(a1799)
    | ~ spl0_54
    | spl0_89
    | ~ spl0_90 ),
    inference(subsumption_resolution,[],[f3458,f687]) ).

fof(f687,plain,
    ( ~ c0_1(a1799)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f685,plain,
    ( spl0_89
  <=> c0_1(a1799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f3458,plain,
    ( c0_1(a1799)
    | c2_1(a1799)
    | ~ spl0_54
    | ~ spl0_90 ),
    inference(resolution,[],[f494,f692]) ).

fof(f692,plain,
    ( c3_1(a1799)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f690]) ).

fof(f690,plain,
    ( spl0_90
  <=> c3_1(a1799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f3468,plain,
    ( ~ spl0_54
    | spl0_97
    | ~ spl0_98
    | spl0_167 ),
    inference(avatar_contradiction_clause,[],[f3467]) ).

fof(f3467,plain,
    ( $false
    | ~ spl0_54
    | spl0_97
    | ~ spl0_98
    | spl0_167 ),
    inference(subsumption_resolution,[],[f3466,f1510]) ).

fof(f1510,plain,
    ( ~ c2_1(a1783)
    | spl0_167 ),
    inference(avatar_component_clause,[],[f1508]) ).

fof(f1508,plain,
    ( spl0_167
  <=> c2_1(a1783) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f3466,plain,
    ( c2_1(a1783)
    | ~ spl0_54
    | spl0_97
    | ~ spl0_98 ),
    inference(subsumption_resolution,[],[f3457,f730]) ).

fof(f730,plain,
    ( ~ c0_1(a1783)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f728]) ).

fof(f728,plain,
    ( spl0_97
  <=> c0_1(a1783) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f3457,plain,
    ( c0_1(a1783)
    | c2_1(a1783)
    | ~ spl0_54
    | ~ spl0_98 ),
    inference(resolution,[],[f494,f735]) ).

fof(f735,plain,
    ( c3_1(a1783)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f733,plain,
    ( spl0_98
  <=> c3_1(a1783) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f3465,plain,
    ( ~ spl0_54
    | spl0_106
    | ~ spl0_107
    | spl0_170 ),
    inference(avatar_contradiction_clause,[],[f3464]) ).

fof(f3464,plain,
    ( $false
    | ~ spl0_54
    | spl0_106
    | ~ spl0_107
    | spl0_170 ),
    inference(subsumption_resolution,[],[f3463,f778]) ).

fof(f778,plain,
    ( ~ c2_1(a1780)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f776,plain,
    ( spl0_106
  <=> c2_1(a1780) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f3463,plain,
    ( c2_1(a1780)
    | ~ spl0_54
    | ~ spl0_107
    | spl0_170 ),
    inference(subsumption_resolution,[],[f3455,f2605]) ).

fof(f2605,plain,
    ( ~ c0_1(a1780)
    | spl0_170 ),
    inference(avatar_component_clause,[],[f2603]) ).

fof(f2603,plain,
    ( spl0_170
  <=> c0_1(a1780) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f3455,plain,
    ( c0_1(a1780)
    | c2_1(a1780)
    | ~ spl0_54
    | ~ spl0_107 ),
    inference(resolution,[],[f494,f783]) ).

fof(f783,plain,
    ( c3_1(a1780)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f781]) ).

fof(f781,plain,
    ( spl0_107
  <=> c3_1(a1780) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f3447,plain,
    ( ~ spl0_53
    | spl0_118
    | spl0_119
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f3446]) ).

fof(f3446,plain,
    ( $false
    | ~ spl0_53
    | spl0_118
    | spl0_119
    | ~ spl0_120 ),
    inference(subsumption_resolution,[],[f3445,f852]) ).

fof(f852,plain,
    ( c1_1(a1770)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f850,plain,
    ( spl0_120
  <=> c1_1(a1770) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f3445,plain,
    ( ~ c1_1(a1770)
    | ~ spl0_53
    | spl0_118
    | spl0_119 ),
    inference(subsumption_resolution,[],[f3426,f847]) ).

fof(f847,plain,
    ( ~ c0_1(a1770)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f845,plain,
    ( spl0_119
  <=> c0_1(a1770) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f3426,plain,
    ( c0_1(a1770)
    | ~ c1_1(a1770)
    | ~ spl0_53
    | spl0_118 ),
    inference(resolution,[],[f488,f842]) ).

fof(f842,plain,
    ( ~ c3_1(a1770)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f840]) ).

fof(f840,plain,
    ( spl0_118
  <=> c3_1(a1770) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f3443,plain,
    ( ~ spl0_53
    | spl0_142
    | ~ spl0_144
    | spl0_164 ),
    inference(avatar_contradiction_clause,[],[f3442]) ).

fof(f3442,plain,
    ( $false
    | ~ spl0_53
    | spl0_142
    | ~ spl0_144
    | spl0_164 ),
    inference(subsumption_resolution,[],[f3441,f980]) ).

fof(f3441,plain,
    ( ~ c1_1(a1759)
    | ~ spl0_53
    | spl0_142
    | spl0_164 ),
    inference(subsumption_resolution,[],[f3424,f1293]) ).

fof(f1293,plain,
    ( ~ c0_1(a1759)
    | spl0_164 ),
    inference(avatar_component_clause,[],[f1291]) ).

fof(f3424,plain,
    ( c0_1(a1759)
    | ~ c1_1(a1759)
    | ~ spl0_53
    | spl0_142 ),
    inference(resolution,[],[f488,f970]) ).

fof(f3440,plain,
    ( ~ spl0_53
    | spl0_145
    | ~ spl0_147
    | spl0_161 ),
    inference(avatar_contradiction_clause,[],[f3439]) ).

fof(f3439,plain,
    ( $false
    | ~ spl0_53
    | spl0_145
    | ~ spl0_147
    | spl0_161 ),
    inference(subsumption_resolution,[],[f3438,f996]) ).

fof(f996,plain,
    ( c1_1(a1758)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f994]) ).

fof(f994,plain,
    ( spl0_147
  <=> c1_1(a1758) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f3438,plain,
    ( ~ c1_1(a1758)
    | ~ spl0_53
    | spl0_145
    | spl0_161 ),
    inference(subsumption_resolution,[],[f3423,f1253]) ).

fof(f1253,plain,
    ( ~ c0_1(a1758)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f1251]) ).

fof(f1251,plain,
    ( spl0_161
  <=> c0_1(a1758) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f3423,plain,
    ( c0_1(a1758)
    | ~ c1_1(a1758)
    | ~ spl0_53
    | spl0_145 ),
    inference(resolution,[],[f488,f986]) ).

fof(f986,plain,
    ( ~ c3_1(a1758)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f984]) ).

fof(f984,plain,
    ( spl0_145
  <=> c3_1(a1758) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f3437,plain,
    ( ~ spl0_53
    | spl0_152
    | ~ spl0_153
    | spl0_171 ),
    inference(avatar_contradiction_clause,[],[f3436]) ).

fof(f3436,plain,
    ( $false
    | ~ spl0_53
    | spl0_152
    | ~ spl0_153
    | spl0_171 ),
    inference(subsumption_resolution,[],[f3435,f1028]) ).

fof(f3435,plain,
    ( ~ c1_1(a1755)
    | ~ spl0_53
    | spl0_152
    | spl0_171 ),
    inference(subsumption_resolution,[],[f3422,f1023]) ).

fof(f3422,plain,
    ( c0_1(a1755)
    | ~ c1_1(a1755)
    | ~ spl0_53
    | spl0_171 ),
    inference(resolution,[],[f488,f2614]) ).

fof(f2614,plain,
    ( ~ c3_1(a1755)
    | spl0_171 ),
    inference(avatar_component_clause,[],[f2612]) ).

fof(f3420,plain,
    ( ~ spl0_21
    | ~ spl0_37
    | ~ spl0_51
    | spl0_85
    | ~ spl0_162 ),
    inference(avatar_contradiction_clause,[],[f3419]) ).

fof(f3419,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_37
    | ~ spl0_51
    | spl0_85
    | ~ spl0_162 ),
    inference(subsumption_resolution,[],[f3412,f666]) ).

fof(f3412,plain,
    ( c3_1(a1807)
    | ~ spl0_21
    | ~ spl0_37
    | ~ spl0_51
    | ~ spl0_162 ),
    inference(resolution,[],[f3404,f1273]) ).

fof(f3404,plain,
    ( ! [X66] :
        ( ~ c2_1(X66)
        | c3_1(X66) )
    | ~ spl0_21
    | ~ spl0_37
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f479,f3351]) ).

fof(f3392,plain,
    ( ~ spl0_41
    | ~ spl0_45
    | spl0_124
    | ~ spl0_126 ),
    inference(avatar_contradiction_clause,[],[f3391]) ).

fof(f3391,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_45
    | spl0_124
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f3379,f874]) ).

fof(f3379,plain,
    ( c1_1(a1767)
    | ~ spl0_41
    | ~ spl0_45
    | ~ spl0_126 ),
    inference(resolution,[],[f3377,f884]) ).

fof(f3377,plain,
    ( ! [X46] :
        ( ~ c3_1(X46)
        | c1_1(X46) )
    | ~ spl0_41
    | ~ spl0_45 ),
    inference(subsumption_resolution,[],[f449,f429]) ).

fof(f3320,plain,
    ( ~ spl0_16
    | ~ spl0_23
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(avatar_contradiction_clause,[],[f3319]) ).

fof(f3319,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_23
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(subsumption_resolution,[],[f3314,f836]) ).

fof(f3314,plain,
    ( ~ c1_1(a1771)
    | ~ spl0_16
    | ~ spl0_23
    | ~ spl0_116 ),
    inference(resolution,[],[f3310,f831]) ).

fof(f3310,plain,
    ( ! [X3] :
        ( ~ c2_1(X3)
        | ~ c1_1(X3) )
    | ~ spl0_16
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f350,f322]) ).

fof(f322,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f321,plain,
    ( spl0_16
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f3309,plain,
    ( ~ spl0_21
    | ~ spl0_92
    | ~ spl0_93
    | ~ spl0_160 ),
    inference(avatar_contradiction_clause,[],[f3308]) ).

fof(f3308,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_92
    | ~ spl0_93
    | ~ spl0_160 ),
    inference(subsumption_resolution,[],[f3307,f703]) ).

fof(f703,plain,
    ( c2_1(a1788)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f701,plain,
    ( spl0_92
  <=> c2_1(a1788) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f3307,plain,
    ( ~ c2_1(a1788)
    | ~ spl0_21
    | ~ spl0_93
    | ~ spl0_160 ),
    inference(subsumption_resolution,[],[f3302,f708]) ).

fof(f708,plain,
    ( c0_1(a1788)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f706,plain,
    ( spl0_93
  <=> c0_1(a1788) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f3302,plain,
    ( ~ c0_1(a1788)
    | ~ c2_1(a1788)
    | ~ spl0_21
    | ~ spl0_160 ),
    inference(resolution,[],[f342,f1242]) ).

fof(f1242,plain,
    ( c1_1(a1788)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1240]) ).

fof(f1240,plain,
    ( spl0_160
  <=> c1_1(a1788) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f3250,plain,
    ( ~ spl0_70
    | spl0_168
    | ~ spl0_23
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f3188,f589,f349,f2018,f584]) ).

fof(f584,plain,
    ( spl0_70
  <=> c2_1(a1795) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f2018,plain,
    ( spl0_168
  <=> c3_1(a1795) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f589,plain,
    ( spl0_71
  <=> c1_1(a1795) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f3188,plain,
    ( c3_1(a1795)
    | ~ c2_1(a1795)
    | ~ spl0_23
    | ~ spl0_71 ),
    inference(resolution,[],[f350,f591]) ).

fof(f591,plain,
    ( c1_1(a1795)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f589]) ).

fof(f3241,plain,
    ( ~ spl0_99
    | spl0_167
    | ~ spl0_28
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f3199,f733,f371,f1508,f738]) ).

fof(f738,plain,
    ( spl0_99
  <=> c1_1(a1783) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f371,plain,
    ( spl0_28
  <=> ! [X10] :
        ( ~ c3_1(X10)
        | c2_1(X10)
        | ~ c1_1(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f3199,plain,
    ( c2_1(a1783)
    | ~ c1_1(a1783)
    | ~ spl0_28
    | ~ spl0_98 ),
    inference(resolution,[],[f372,f735]) ).

fof(f372,plain,
    ( ! [X10] :
        ( ~ c3_1(X10)
        | c2_1(X10)
        | ~ c1_1(X10) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f3225,plain,
    ( ~ spl0_27
    | ~ spl0_34
    | ~ spl0_39
    | ~ spl0_75
    | ~ spl0_159 ),
    inference(avatar_contradiction_clause,[],[f3224]) ).

fof(f3224,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_34
    | ~ spl0_39
    | ~ spl0_75
    | ~ spl0_159 ),
    inference(subsumption_resolution,[],[f3215,f1211]) ).

fof(f1211,plain,
    ( c2_1(a1756)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1209]) ).

fof(f1209,plain,
    ( spl0_159
  <=> c2_1(a1756) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f3215,plain,
    ( ~ c2_1(a1756)
    | ~ spl0_27
    | ~ spl0_34
    | ~ spl0_39
    | ~ spl0_75 ),
    inference(resolution,[],[f3208,f612]) ).

fof(f3208,plain,
    ( ! [X13] :
        ( ~ c0_1(X13)
        | ~ c2_1(X13) )
    | ~ spl0_27
    | ~ spl0_34
    | ~ spl0_39 ),
    inference(subsumption_resolution,[],[f396,f3161]) ).

fof(f3161,plain,
    ( ! [X31] :
        ( ~ c0_1(X31)
        | c3_1(X31) )
    | ~ spl0_27
    | ~ spl0_39 ),
    inference(subsumption_resolution,[],[f420,f368]) ).

fof(f396,plain,
    ( ! [X13] :
        ( ~ c0_1(X13)
        | ~ c3_1(X13)
        | ~ c2_1(X13) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f395,plain,
    ( spl0_34
  <=> ! [X13] :
        ( ~ c3_1(X13)
        | ~ c0_1(X13)
        | ~ c2_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f3159,plain,
    ( ~ spl0_96
    | ~ spl0_27
    | spl0_94
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f3154,f717,f712,f367,f722]) ).

fof(f722,plain,
    ( spl0_96
  <=> c0_1(a1786) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f712,plain,
    ( spl0_94
  <=> c3_1(a1786) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f717,plain,
    ( spl0_95
  <=> c1_1(a1786) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f3154,plain,
    ( ~ c0_1(a1786)
    | ~ spl0_27
    | spl0_94
    | ~ spl0_95 ),
    inference(subsumption_resolution,[],[f3151,f714]) ).

fof(f714,plain,
    ( ~ c3_1(a1786)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f712]) ).

fof(f3151,plain,
    ( c3_1(a1786)
    | ~ c0_1(a1786)
    | ~ spl0_27
    | ~ spl0_95 ),
    inference(resolution,[],[f368,f719]) ).

fof(f719,plain,
    ( c1_1(a1786)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f3158,plain,
    ( spl0_168
    | ~ spl0_27
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f3157,f594,f589,f367,f2018]) ).

fof(f594,plain,
    ( spl0_72
  <=> c0_1(a1795) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f3157,plain,
    ( c3_1(a1795)
    | ~ spl0_27
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(subsumption_resolution,[],[f3153,f596]) ).

fof(f596,plain,
    ( c0_1(a1795)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f3153,plain,
    ( c3_1(a1795)
    | ~ c0_1(a1795)
    | ~ spl0_27
    | ~ spl0_71 ),
    inference(resolution,[],[f368,f591]) ).

fof(f3143,plain,
    ( ~ spl0_75
    | spl0_159
    | ~ spl0_29
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f3142,f605,f375,f1209,f610]) ).

fof(f375,plain,
    ( spl0_29
  <=> ! [X11] :
        ( ~ c1_1(X11)
        | c2_1(X11)
        | ~ c0_1(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f3142,plain,
    ( c2_1(a1756)
    | ~ c0_1(a1756)
    | ~ spl0_29
    | ~ spl0_74 ),
    inference(resolution,[],[f607,f376]) ).

fof(f376,plain,
    ( ! [X11] :
        ( ~ c1_1(X11)
        | c2_1(X11)
        | ~ c0_1(X11) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f2985,plain,
    ( ~ spl0_69
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_36
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f2969,f568,f403,f375,f341,f578]) ).

fof(f578,plain,
    ( spl0_69
  <=> c0_1(a1805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f2969,plain,
    ( ~ c0_1(a1805)
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_36
    | ~ spl0_67 ),
    inference(resolution,[],[f2939,f570]) ).

fof(f2939,plain,
    ( ! [X16] :
        ( ~ c3_1(X16)
        | ~ c0_1(X16) )
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_36 ),
    inference(subsumption_resolution,[],[f404,f2780]) ).

fof(f2780,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_21
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f342,f376]) ).

fof(f2936,plain,
    ( ~ spl0_43
    | ~ spl0_54
    | spl0_97
    | ~ spl0_98 ),
    inference(avatar_contradiction_clause,[],[f2935]) ).

fof(f2935,plain,
    ( $false
    | ~ spl0_43
    | ~ spl0_54
    | spl0_97
    | ~ spl0_98 ),
    inference(subsumption_resolution,[],[f2932,f730]) ).

fof(f2932,plain,
    ( c0_1(a1783)
    | ~ spl0_43
    | ~ spl0_54
    | ~ spl0_98 ),
    inference(resolution,[],[f735,f2578]) ).

fof(f2578,plain,
    ( ! [X77] :
        ( ~ c3_1(X77)
        | c0_1(X77) )
    | ~ spl0_43
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f494,f438]) ).

fof(f438,plain,
    ( ! [X41] :
        ( ~ c2_1(X41)
        | c0_1(X41)
        | ~ c3_1(X41) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f437,plain,
    ( spl0_43
  <=> ! [X41] :
        ( ~ c3_1(X41)
        | c0_1(X41)
        | ~ c2_1(X41) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f2929,plain,
    ( spl0_152
    | ~ spl0_43
    | ~ spl0_54
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f2912,f2612,f493,f437,f1021]) ).

fof(f2912,plain,
    ( c0_1(a1755)
    | ~ spl0_43
    | ~ spl0_54
    | ~ spl0_171 ),
    inference(resolution,[],[f2613,f2578]) ).

fof(f2842,plain,
    ( ~ spl0_92
    | spl0_160
    | ~ spl0_38
    | spl0_91 ),
    inference(avatar_split_clause,[],[f2826,f696,f411,f1240,f701]) ).

fof(f696,plain,
    ( spl0_91
  <=> c3_1(a1788) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f2826,plain,
    ( c1_1(a1788)
    | ~ c2_1(a1788)
    | ~ spl0_38
    | spl0_91 ),
    inference(resolution,[],[f412,f698]) ).

fof(f698,plain,
    ( ~ c3_1(a1788)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f2841,plain,
    ( ~ spl0_21
    | ~ spl0_29
    | ~ spl0_93
    | ~ spl0_160 ),
    inference(avatar_contradiction_clause,[],[f2840]) ).

fof(f2840,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_93
    | ~ spl0_160 ),
    inference(subsumption_resolution,[],[f2837,f708]) ).

fof(f2837,plain,
    ( ~ c0_1(a1788)
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_160 ),
    inference(resolution,[],[f1242,f2780]) ).

fof(f2835,plain,
    ( ~ spl0_157
    | ~ spl0_38
    | spl0_82
    | spl0_83 ),
    inference(avatar_split_clause,[],[f2834,f653,f648,f411,f1087]) ).

fof(f1087,plain,
    ( spl0_157
  <=> c2_1(a1809) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f648,plain,
    ( spl0_82
  <=> c3_1(a1809) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f653,plain,
    ( spl0_83
  <=> c1_1(a1809) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f2834,plain,
    ( ~ c2_1(a1809)
    | ~ spl0_38
    | spl0_82
    | spl0_83 ),
    inference(subsumption_resolution,[],[f2828,f655]) ).

fof(f655,plain,
    ( ~ c1_1(a1809)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f2828,plain,
    ( c1_1(a1809)
    | ~ c2_1(a1809)
    | ~ spl0_38
    | spl0_82 ),
    inference(resolution,[],[f412,f650]) ).

fof(f650,plain,
    ( ~ c3_1(a1809)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f2811,plain,
    ( ~ spl0_161
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2801,f994,f375,f341,f1251]) ).

fof(f2801,plain,
    ( ~ c0_1(a1758)
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_147 ),
    inference(resolution,[],[f2780,f996]) ).

fof(f2778,plain,
    ( ~ spl0_164
    | spl0_143
    | ~ spl0_29
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2552,f978,f375,f973,f1291]) ).

fof(f2552,plain,
    ( c2_1(a1759)
    | ~ c0_1(a1759)
    | ~ spl0_29
    | ~ spl0_144 ),
    inference(resolution,[],[f376,f980]) ).

fof(f2752,plain,
    ( ~ spl0_37
    | ~ spl0_43
    | ~ spl0_51
    | ~ spl0_68
    | spl0_165 ),
    inference(avatar_contradiction_clause,[],[f2751]) ).

fof(f2751,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_43
    | ~ spl0_51
    | ~ spl0_68
    | spl0_165 ),
    inference(subsumption_resolution,[],[f2739,f575]) ).

fof(f575,plain,
    ( c2_1(a1805)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f573,plain,
    ( spl0_68
  <=> c2_1(a1805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f2739,plain,
    ( ~ c2_1(a1805)
    | ~ spl0_37
    | ~ spl0_43
    | ~ spl0_51
    | spl0_165 ),
    inference(resolution,[],[f2723,f1413]) ).

fof(f2723,plain,
    ( ! [X19] :
        ( c1_1(X19)
        | ~ c2_1(X19) )
    | ~ spl0_37
    | ~ spl0_43
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f408,f2690]) ).

fof(f2690,plain,
    ( ! [X66] :
        ( c0_1(X66)
        | ~ c2_1(X66) )
    | ~ spl0_43
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f479,f438]) ).

fof(f2749,plain,
    ( ~ spl0_37
    | ~ spl0_43
    | ~ spl0_51
    | spl0_103
    | ~ spl0_105 ),
    inference(avatar_contradiction_clause,[],[f2748]) ).

fof(f2748,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_43
    | ~ spl0_51
    | spl0_103
    | ~ spl0_105 ),
    inference(subsumption_resolution,[],[f2733,f772]) ).

fof(f772,plain,
    ( c2_1(a1781)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f2733,plain,
    ( ~ c2_1(a1781)
    | ~ spl0_37
    | ~ spl0_43
    | ~ spl0_51
    | spl0_103 ),
    inference(resolution,[],[f2723,f762]) ).

fof(f2707,plain,
    ( ~ spl0_43
    | ~ spl0_51
    | spl0_115
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f2706]) ).

fof(f2706,plain,
    ( $false
    | ~ spl0_43
    | ~ spl0_51
    | spl0_115
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f2695,f831]) ).

fof(f2695,plain,
    ( ~ c2_1(a1771)
    | ~ spl0_43
    | ~ spl0_51
    | spl0_115 ),
    inference(resolution,[],[f2690,f826]) ).

fof(f2701,plain,
    ( ~ spl0_43
    | ~ spl0_51
    | spl0_155
    | ~ spl0_156 ),
    inference(avatar_contradiction_clause,[],[f2700]) ).

fof(f2700,plain,
    ( $false
    | ~ spl0_43
    | ~ spl0_51
    | spl0_155
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f2691,f1044]) ).

fof(f1044,plain,
    ( c2_1(a1754)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1042]) ).

fof(f1042,plain,
    ( spl0_156
  <=> c2_1(a1754) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f2691,plain,
    ( ~ c2_1(a1754)
    | ~ spl0_43
    | ~ spl0_51
    | spl0_155 ),
    inference(resolution,[],[f2690,f1039]) ).

fof(f1039,plain,
    ( ~ c0_1(a1754)
    | spl0_155 ),
    inference(avatar_component_clause,[],[f1037]) ).

fof(f1037,plain,
    ( spl0_155
  <=> c0_1(a1754) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f2610,plain,
    ( spl0_151
    | ~ spl0_29
    | ~ spl0_55
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f2579,f1026,f505,f375,f1016]) ).

fof(f505,plain,
    ( spl0_55
  <=> ! [X94] :
        ( ~ c1_1(X94)
        | c0_1(X94)
        | c2_1(X94) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f2579,plain,
    ( c2_1(a1755)
    | ~ spl0_29
    | ~ spl0_55
    | ~ spl0_153 ),
    inference(resolution,[],[f2577,f1028]) ).

fof(f2577,plain,
    ( ! [X94] :
        ( ~ c1_1(X94)
        | c2_1(X94) )
    | ~ spl0_29
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f506,f376]) ).

fof(f506,plain,
    ( ! [X94] :
        ( ~ c1_1(X94)
        | c0_1(X94)
        | c2_1(X94) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f2606,plain,
    ( ~ spl0_170
    | spl0_106
    | ~ spl0_29
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2556,f786,f375,f776,f2603]) ).

fof(f786,plain,
    ( spl0_108
  <=> c1_1(a1780) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f2556,plain,
    ( c2_1(a1780)
    | ~ c0_1(a1780)
    | ~ spl0_29
    | ~ spl0_108 ),
    inference(resolution,[],[f376,f788]) ).

fof(f788,plain,
    ( c1_1(a1780)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f786]) ).

fof(f2601,plain,
    ( spl0_106
    | ~ spl0_29
    | ~ spl0_55
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2583,f786,f505,f375,f776]) ).

fof(f2583,plain,
    ( c2_1(a1780)
    | ~ spl0_29
    | ~ spl0_55
    | ~ spl0_108 ),
    inference(resolution,[],[f2577,f788]) ).

fof(f2576,plain,
    ( ~ spl0_159
    | ~ spl0_73
    | ~ spl0_16
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f2539,f605,f321,f600,f1209]) ).

fof(f2539,plain,
    ( ~ c3_1(a1756)
    | ~ c2_1(a1756)
    | ~ spl0_16
    | ~ spl0_74 ),
    inference(resolution,[],[f322,f607]) ).

fof(f2548,plain,
    ( ~ spl0_16
    | ~ spl0_67
    | ~ spl0_68
    | ~ spl0_165 ),
    inference(avatar_contradiction_clause,[],[f2547]) ).

fof(f2547,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_67
    | ~ spl0_68
    | ~ spl0_165 ),
    inference(subsumption_resolution,[],[f2546,f575]) ).

fof(f2546,plain,
    ( ~ c2_1(a1805)
    | ~ spl0_16
    | ~ spl0_67
    | ~ spl0_165 ),
    inference(subsumption_resolution,[],[f2541,f570]) ).

fof(f2541,plain,
    ( ~ c3_1(a1805)
    | ~ c2_1(a1805)
    | ~ spl0_16
    | ~ spl0_165 ),
    inference(resolution,[],[f322,f1414]) ).

fof(f1414,plain,
    ( c1_1(a1805)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1412]) ).

fof(f2545,plain,
    ( ~ spl0_168
    | ~ spl0_16
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f2544,f589,f584,f321,f2018]) ).

fof(f2544,plain,
    ( ~ c3_1(a1795)
    | ~ spl0_16
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(subsumption_resolution,[],[f2540,f586]) ).

fof(f586,plain,
    ( c2_1(a1795)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f584]) ).

fof(f2540,plain,
    ( ~ c3_1(a1795)
    | ~ c2_1(a1795)
    | ~ spl0_16
    | ~ spl0_71 ),
    inference(resolution,[],[f322,f591]) ).

fof(f2504,plain,
    ( ~ spl0_37
    | ~ spl0_46
    | spl0_103
    | ~ spl0_169 ),
    inference(avatar_contradiction_clause,[],[f2503]) ).

fof(f2503,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_46
    | spl0_103
    | ~ spl0_169 ),
    inference(subsumption_resolution,[],[f2500,f762]) ).

fof(f2500,plain,
    ( c1_1(a1781)
    | ~ spl0_37
    | ~ spl0_46
    | ~ spl0_169 ),
    inference(resolution,[],[f2130,f2380]) ).

fof(f2380,plain,
    ( ! [X19] :
        ( ~ c0_1(X19)
        | c1_1(X19) )
    | ~ spl0_37
    | ~ spl0_46 ),
    inference(subsumption_resolution,[],[f408,f453]) ).

fof(f453,plain,
    ( ! [X50] :
        ( c1_1(X50)
        | ~ c0_1(X50)
        | c2_1(X50) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f452,plain,
    ( spl0_46
  <=> ! [X50] :
        ( ~ c0_1(X50)
        | c1_1(X50)
        | c2_1(X50) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f2497,plain,
    ( spl0_169
    | ~ spl0_43
    | ~ spl0_104
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2496,f770,f765,f437,f2129]) ).

fof(f2496,plain,
    ( c0_1(a1781)
    | ~ spl0_43
    | ~ spl0_104
    | ~ spl0_105 ),
    inference(subsumption_resolution,[],[f2484,f767]) ).

fof(f2484,plain,
    ( c0_1(a1781)
    | ~ c3_1(a1781)
    | ~ spl0_43
    | ~ spl0_105 ),
    inference(resolution,[],[f438,f772]) ).

fof(f2457,plain,
    ( spl0_86
    | ~ spl0_42
    | spl0_85
    | spl0_162 ),
    inference(avatar_split_clause,[],[f2456,f1271,f664,f433,f669]) ).

fof(f433,plain,
    ( spl0_42
  <=> ! [X40] :
        ( c3_1(X40)
        | c1_1(X40)
        | c2_1(X40) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f2456,plain,
    ( c1_1(a1807)
    | ~ spl0_42
    | spl0_85
    | spl0_162 ),
    inference(subsumption_resolution,[],[f2445,f1272]) ).

fof(f1272,plain,
    ( ~ c2_1(a1807)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1271]) ).

fof(f2445,plain,
    ( c1_1(a1807)
    | c2_1(a1807)
    | ~ spl0_42
    | spl0_85 ),
    inference(resolution,[],[f434,f666]) ).

fof(f434,plain,
    ( ! [X40] :
        ( c3_1(X40)
        | c1_1(X40)
        | c2_1(X40) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f2452,plain,
    ( ~ spl0_42
    | spl0_100
    | spl0_101
    | spl0_102 ),
    inference(avatar_contradiction_clause,[],[f2451]) ).

fof(f2451,plain,
    ( $false
    | ~ spl0_42
    | spl0_100
    | spl0_101
    | spl0_102 ),
    inference(subsumption_resolution,[],[f2450,f751]) ).

fof(f2450,plain,
    ( c2_1(a1782)
    | ~ spl0_42
    | spl0_100
    | spl0_102 ),
    inference(subsumption_resolution,[],[f2444,f756]) ).

fof(f2444,plain,
    ( c1_1(a1782)
    | c2_1(a1782)
    | ~ spl0_42
    | spl0_100 ),
    inference(resolution,[],[f434,f746]) ).

fof(f2423,plain,
    ( ~ spl0_28
    | spl0_106
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(avatar_contradiction_clause,[],[f2422]) ).

fof(f2422,plain,
    ( $false
    | ~ spl0_28
    | spl0_106
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(subsumption_resolution,[],[f2421,f788]) ).

fof(f2421,plain,
    ( ~ c1_1(a1780)
    | ~ spl0_28
    | spl0_106
    | ~ spl0_107 ),
    inference(subsumption_resolution,[],[f2410,f778]) ).

fof(f2410,plain,
    ( c2_1(a1780)
    | ~ c1_1(a1780)
    | ~ spl0_28
    | ~ spl0_107 ),
    inference(resolution,[],[f372,f783]) ).

fof(f2404,plain,
    ( spl0_165
    | ~ spl0_37
    | ~ spl0_46
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2401,f578,f452,f407,f1412]) ).

fof(f2401,plain,
    ( c1_1(a1805)
    | ~ spl0_37
    | ~ spl0_46
    | ~ spl0_69 ),
    inference(resolution,[],[f2380,f580]) ).

fof(f580,plain,
    ( c0_1(a1805)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f2392,plain,
    ( ~ spl0_27
    | ~ spl0_53
    | spl0_145
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f2391]) ).

fof(f2391,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_53
    | spl0_145
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f2390,f996]) ).

fof(f2390,plain,
    ( ~ c1_1(a1758)
    | ~ spl0_27
    | ~ spl0_53
    | spl0_145 ),
    inference(resolution,[],[f986,f2287]) ).

fof(f2287,plain,
    ( ! [X72] :
        ( c3_1(X72)
        | ~ c1_1(X72) )
    | ~ spl0_27
    | ~ spl0_53 ),
    inference(subsumption_resolution,[],[f488,f368]) ).

fof(f2383,plain,
    ( spl0_159
    | ~ spl0_29
    | ~ spl0_46
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f2382,f610,f452,f375,f1209]) ).

fof(f2382,plain,
    ( c2_1(a1756)
    | ~ spl0_29
    | ~ spl0_46
    | ~ spl0_75 ),
    inference(resolution,[],[f612,f1388]) ).

fof(f1388,plain,
    ( ! [X11] :
        ( ~ c0_1(X11)
        | c2_1(X11) )
    | ~ spl0_29
    | ~ spl0_46 ),
    inference(subsumption_resolution,[],[f376,f453]) ).

fof(f2328,plain,
    ( ~ spl0_18
    | ~ spl0_27
    | ~ spl0_29
    | ~ spl0_46
    | ~ spl0_48
    | ~ spl0_55
    | ~ spl0_71 ),
    inference(avatar_contradiction_clause,[],[f2327]) ).

fof(f2327,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_27
    | ~ spl0_29
    | ~ spl0_46
    | ~ spl0_48
    | ~ spl0_55
    | ~ spl0_71 ),
    inference(resolution,[],[f2312,f591]) ).

fof(f2312,plain,
    ( ! [X94] : ~ c1_1(X94)
    | ~ spl0_18
    | ~ spl0_27
    | ~ spl0_29
    | ~ spl0_46
    | ~ spl0_48
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f2311,f2238]) ).

fof(f2238,plain,
    ( ! [X60] :
        ( ~ c2_1(X60)
        | ~ c1_1(X60) )
    | ~ spl0_18
    | ~ spl0_27
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f464,f2024]) ).

fof(f2024,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_18
    | ~ spl0_27 ),
    inference(subsumption_resolution,[],[f330,f368]) ).

fof(f464,plain,
    ( ! [X60] :
        ( ~ c2_1(X60)
        | c0_1(X60)
        | ~ c1_1(X60) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f463,plain,
    ( spl0_48
  <=> ! [X60] :
        ( ~ c2_1(X60)
        | c0_1(X60)
        | ~ c1_1(X60) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f2311,plain,
    ( ! [X94] :
        ( ~ c1_1(X94)
        | c2_1(X94) )
    | ~ spl0_29
    | ~ spl0_46
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f506,f1388]) ).

fof(f2214,plain,
    ( ~ spl0_137
    | ~ spl0_43
    | spl0_136
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2200,f946,f936,f437,f941]) ).

fof(f946,plain,
    ( spl0_138
  <=> c2_1(a1762) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2200,plain,
    ( ~ c3_1(a1762)
    | ~ spl0_43
    | spl0_136
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f2188,f938]) ).

fof(f2188,plain,
    ( c0_1(a1762)
    | ~ c3_1(a1762)
    | ~ spl0_43
    | ~ spl0_138 ),
    inference(resolution,[],[f438,f948]) ).

fof(f948,plain,
    ( c2_1(a1762)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f2210,plain,
    ( ~ spl0_98
    | ~ spl0_43
    | spl0_97
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f2209,f1508,f728,f437,f733]) ).

fof(f2209,plain,
    ( ~ c3_1(a1783)
    | ~ spl0_43
    | spl0_97
    | ~ spl0_167 ),
    inference(subsumption_resolution,[],[f2193,f730]) ).

fof(f2193,plain,
    ( c0_1(a1783)
    | ~ c3_1(a1783)
    | ~ spl0_43
    | ~ spl0_167 ),
    inference(resolution,[],[f438,f1509]) ).

fof(f1509,plain,
    ( c2_1(a1783)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1508]) ).

fof(f2061,plain,
    ( ~ spl0_108
    | ~ spl0_16
    | ~ spl0_28
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2053,f781,f371,f321,f786]) ).

fof(f2053,plain,
    ( ~ c1_1(a1780)
    | ~ spl0_16
    | ~ spl0_28
    | ~ spl0_107 ),
    inference(resolution,[],[f2023,f783]) ).

fof(f2023,plain,
    ( ! [X10] :
        ( ~ c3_1(X10)
        | ~ c1_1(X10) )
    | ~ spl0_16
    | ~ spl0_28 ),
    inference(subsumption_resolution,[],[f372,f322]) ).

fof(f2050,plain,
    ( ~ spl0_167
    | ~ spl0_16
    | ~ spl0_45
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f2031,f733,f448,f321,f1508]) ).

fof(f2031,plain,
    ( ~ c2_1(a1783)
    | ~ spl0_16
    | ~ spl0_45
    | ~ spl0_98 ),
    inference(resolution,[],[f2022,f735]) ).

fof(f2022,plain,
    ( ! [X46] :
        ( ~ c3_1(X46)
        | ~ c2_1(X46) )
    | ~ spl0_16
    | ~ spl0_45 ),
    inference(subsumption_resolution,[],[f449,f322]) ).

fof(f2046,plain,
    ( ~ spl0_16
    | ~ spl0_45
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(avatar_contradiction_clause,[],[f2045]) ).

fof(f2045,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_45
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(subsumption_resolution,[],[f2033,f575]) ).

fof(f2033,plain,
    ( ~ c2_1(a1805)
    | ~ spl0_16
    | ~ spl0_45
    | ~ spl0_67 ),
    inference(resolution,[],[f2022,f570]) ).

fof(f2036,plain,
    ( ~ spl0_16
    | ~ spl0_45
    | ~ spl0_137
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f2035]) ).

fof(f2035,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_45
    | ~ spl0_137
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f2025,f948]) ).

fof(f2025,plain,
    ( ~ c2_1(a1762)
    | ~ spl0_16
    | ~ spl0_45
    | ~ spl0_137 ),
    inference(resolution,[],[f2022,f943]) ).

fof(f1816,plain,
    ( ~ spl0_29
    | ~ spl0_46
    | ~ spl0_54
    | spl0_106
    | ~ spl0_107 ),
    inference(avatar_contradiction_clause,[],[f1815]) ).

fof(f1815,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_46
    | ~ spl0_54
    | spl0_106
    | ~ spl0_107 ),
    inference(subsumption_resolution,[],[f1806,f778]) ).

fof(f1806,plain,
    ( c2_1(a1780)
    | ~ spl0_29
    | ~ spl0_46
    | ~ spl0_54
    | ~ spl0_107 ),
    inference(resolution,[],[f1796,f783]) ).

fof(f1796,plain,
    ( ! [X77] :
        ( ~ c3_1(X77)
        | c2_1(X77) )
    | ~ spl0_29
    | ~ spl0_46
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f494,f1388]) ).

fof(f1758,plain,
    ( spl0_161
    | ~ spl0_48
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1757,f994,f989,f463,f1251]) ).

fof(f989,plain,
    ( spl0_146
  <=> c2_1(a1758) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f1757,plain,
    ( c0_1(a1758)
    | ~ spl0_48
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f1727,f996]) ).

fof(f1727,plain,
    ( c0_1(a1758)
    | ~ c1_1(a1758)
    | ~ spl0_48
    | ~ spl0_146 ),
    inference(resolution,[],[f464,f991]) ).

fof(f991,plain,
    ( c2_1(a1758)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f989]) ).

fof(f1713,plain,
    ( ~ spl0_27
    | ~ spl0_38
    | ~ spl0_41
    | ~ spl0_42
    | spl0_109
    | ~ spl0_111 ),
    inference(avatar_contradiction_clause,[],[f1712]) ).

fof(f1712,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_38
    | ~ spl0_41
    | ~ spl0_42
    | spl0_109
    | ~ spl0_111 ),
    inference(subsumption_resolution,[],[f1703,f804]) ).

fof(f804,plain,
    ( c0_1(a1779)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f802]) ).

fof(f802,plain,
    ( spl0_111
  <=> c0_1(a1779) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1703,plain,
    ( ~ c0_1(a1779)
    | ~ spl0_27
    | ~ spl0_38
    | ~ spl0_41
    | ~ spl0_42
    | spl0_109 ),
    inference(resolution,[],[f1689,f794]) ).

fof(f794,plain,
    ( ~ c3_1(a1779)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f792]) ).

fof(f792,plain,
    ( spl0_109
  <=> c3_1(a1779) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1689,plain,
    ( ! [X8] :
        ( c3_1(X8)
        | ~ c0_1(X8) )
    | ~ spl0_27
    | ~ spl0_38
    | ~ spl0_41
    | ~ spl0_42 ),
    inference(subsumption_resolution,[],[f368,f1524]) ).

fof(f1524,plain,
    ( ! [X21] :
        ( c3_1(X21)
        | c1_1(X21) )
    | ~ spl0_38
    | ~ spl0_41
    | ~ spl0_42 ),
    inference(subsumption_resolution,[],[f412,f1427]) ).

fof(f1427,plain,
    ( ! [X40] :
        ( c1_1(X40)
        | c2_1(X40) )
    | ~ spl0_41
    | ~ spl0_42 ),
    inference(subsumption_resolution,[],[f434,f429]) ).

fof(f1688,plain,
    ( ~ spl0_16
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(avatar_contradiction_clause,[],[f1687]) ).

fof(f1687,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(subsumption_resolution,[],[f1686,f559]) ).

fof(f559,plain,
    ( c2_1(a1823)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f557,plain,
    ( spl0_65
  <=> c2_1(a1823) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1686,plain,
    ( ~ c2_1(a1823)
    | ~ spl0_16
    | ~ spl0_64
    | ~ spl0_66 ),
    inference(subsumption_resolution,[],[f1677,f554]) ).

fof(f554,plain,
    ( c3_1(a1823)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f552,plain,
    ( spl0_64
  <=> c3_1(a1823) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1677,plain,
    ( ~ c3_1(a1823)
    | ~ c2_1(a1823)
    | ~ spl0_16
    | ~ spl0_66 ),
    inference(resolution,[],[f322,f564]) ).

fof(f564,plain,
    ( c1_1(a1823)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f562,plain,
    ( spl0_66
  <=> c1_1(a1823) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1615,plain,
    ( spl0_83
    | ~ spl0_38
    | ~ spl0_41
    | ~ spl0_42
    | spl0_82 ),
    inference(avatar_split_clause,[],[f1601,f648,f433,f428,f411,f653]) ).

fof(f1601,plain,
    ( c1_1(a1809)
    | ~ spl0_38
    | ~ spl0_41
    | ~ spl0_42
    | spl0_82 ),
    inference(resolution,[],[f1524,f650]) ).

fof(f1553,plain,
    ( spl0_148
    | ~ spl0_29
    | ~ spl0_46
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1550,f1010,f452,f375,f1000]) ).

fof(f1000,plain,
    ( spl0_148
  <=> c2_1(a1757) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1550,plain,
    ( c2_1(a1757)
    | ~ spl0_29
    | ~ spl0_46
    | ~ spl0_150 ),
    inference(resolution,[],[f1012,f1388]) ).

fof(f1536,plain,
    ( spl0_110
    | ~ spl0_29
    | ~ spl0_46
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1533,f802,f452,f375,f797]) ).

fof(f797,plain,
    ( spl0_110
  <=> c2_1(a1779) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1533,plain,
    ( c2_1(a1779)
    | ~ spl0_29
    | ~ spl0_46
    | ~ spl0_111 ),
    inference(resolution,[],[f804,f1388]) ).

fof(f1522,plain,
    ( ~ spl0_23
    | spl0_94
    | ~ spl0_95
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f1521]) ).

fof(f1521,plain,
    ( $false
    | ~ spl0_23
    | spl0_94
    | ~ spl0_95
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f1520,f1141]) ).

fof(f1141,plain,
    ( c2_1(a1786)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1140]) ).

fof(f1140,plain,
    ( spl0_158
  <=> c2_1(a1786) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f1520,plain,
    ( ~ c2_1(a1786)
    | ~ spl0_23
    | spl0_94
    | ~ spl0_95 ),
    inference(subsumption_resolution,[],[f1518,f714]) ).

fof(f1518,plain,
    ( c3_1(a1786)
    | ~ c2_1(a1786)
    | ~ spl0_23
    | ~ spl0_95 ),
    inference(resolution,[],[f719,f350]) ).

fof(f1450,plain,
    ( spl0_159
    | ~ spl0_28
    | ~ spl0_41
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1447,f600,f428,f371,f1209]) ).

fof(f1447,plain,
    ( c2_1(a1756)
    | ~ spl0_28
    | ~ spl0_41
    | ~ spl0_73 ),
    inference(resolution,[],[f1389,f602]) ).

fof(f1389,plain,
    ( ! [X10] :
        ( ~ c3_1(X10)
        | c2_1(X10) )
    | ~ spl0_28
    | ~ spl0_41 ),
    inference(subsumption_resolution,[],[f372,f429]) ).

fof(f1420,plain,
    ( spl0_121
    | ~ spl0_29
    | ~ spl0_46
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1393,f866,f452,f375,f856]) ).

fof(f856,plain,
    ( spl0_121
  <=> c2_1(a1768) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f866,plain,
    ( spl0_123
  <=> c0_1(a1768) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1393,plain,
    ( c2_1(a1768)
    | ~ spl0_29
    | ~ spl0_46
    | ~ spl0_123 ),
    inference(resolution,[],[f1388,f868]) ).

fof(f868,plain,
    ( c0_1(a1768)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f1407,plain,
    ( ~ spl0_29
    | ~ spl0_46
    | ~ spl0_96
    | spl0_158 ),
    inference(avatar_contradiction_clause,[],[f1406]) ).

fof(f1406,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_46
    | ~ spl0_96
    | spl0_158 ),
    inference(subsumption_resolution,[],[f1396,f1142]) ).

fof(f1142,plain,
    ( ~ c2_1(a1786)
    | spl0_158 ),
    inference(avatar_component_clause,[],[f1140]) ).

fof(f1396,plain,
    ( c2_1(a1786)
    | ~ spl0_29
    | ~ spl0_46
    | ~ spl0_96 ),
    inference(resolution,[],[f1388,f724]) ).

fof(f724,plain,
    ( c0_1(a1786)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f1405,plain,
    ( ~ spl0_29
    | ~ spl0_46
    | ~ spl0_47
    | spl0_106
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(avatar_contradiction_clause,[],[f1404]) ).

fof(f1404,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_46
    | ~ spl0_47
    | spl0_106
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(subsumption_resolution,[],[f1394,f778]) ).

fof(f1394,plain,
    ( c2_1(a1780)
    | ~ spl0_29
    | ~ spl0_46
    | ~ spl0_47
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(resolution,[],[f1388,f1198]) ).

fof(f1198,plain,
    ( c0_1(a1780)
    | ~ spl0_47
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(subsumption_resolution,[],[f1192,f783]) ).

fof(f1192,plain,
    ( c0_1(a1780)
    | ~ c3_1(a1780)
    | ~ spl0_47
    | ~ spl0_108 ),
    inference(resolution,[],[f457,f788]) ).

fof(f1387,plain,
    ( ~ spl0_21
    | ~ spl0_29
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(avatar_contradiction_clause,[],[f1386]) ).

fof(f1386,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(subsumption_resolution,[],[f1375,f612]) ).

fof(f1375,plain,
    ( ~ c0_1(a1756)
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_74 ),
    inference(resolution,[],[f1348,f607]) ).

fof(f1348,plain,
    ( ! [X11] :
        ( ~ c1_1(X11)
        | ~ c0_1(X11) )
    | ~ spl0_21
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f376,f342]) ).

fof(f1381,plain,
    ( ~ spl0_21
    | ~ spl0_29
    | ~ spl0_47
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(avatar_contradiction_clause,[],[f1380]) ).

fof(f1380,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_47
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(subsumption_resolution,[],[f1372,f1198]) ).

fof(f1372,plain,
    ( ~ c0_1(a1780)
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_108 ),
    inference(resolution,[],[f1348,f788]) ).

fof(f1344,plain,
    ( ~ spl0_23
    | spl0_145
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f1343]) ).

fof(f1343,plain,
    ( $false
    | ~ spl0_23
    | spl0_145
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f1342,f991]) ).

fof(f1342,plain,
    ( ~ c2_1(a1758)
    | ~ spl0_23
    | spl0_145
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f1333,f986]) ).

fof(f1333,plain,
    ( c3_1(a1758)
    | ~ c2_1(a1758)
    | ~ spl0_23
    | ~ spl0_147 ),
    inference(resolution,[],[f350,f996]) ).

fof(f1331,plain,
    ( ~ spl0_159
    | ~ spl0_21
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1330,f610,f605,f341,f1209]) ).

fof(f1330,plain,
    ( ~ c2_1(a1756)
    | ~ spl0_21
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(subsumption_resolution,[],[f1321,f612]) ).

fof(f1321,plain,
    ( ~ c0_1(a1756)
    | ~ c2_1(a1756)
    | ~ spl0_21
    | ~ spl0_74 ),
    inference(resolution,[],[f342,f607]) ).

fof(f1327,plain,
    ( ~ spl0_158
    | ~ spl0_21
    | ~ spl0_95
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1326,f722,f717,f341,f1140]) ).

fof(f1326,plain,
    ( ~ c2_1(a1786)
    | ~ spl0_21
    | ~ spl0_95
    | ~ spl0_96 ),
    inference(subsumption_resolution,[],[f1319,f724]) ).

fof(f1319,plain,
    ( ~ c0_1(a1786)
    | ~ c2_1(a1786)
    | ~ spl0_21
    | ~ spl0_95 ),
    inference(resolution,[],[f342,f719]) ).

fof(f1324,plain,
    ( ~ spl0_161
    | ~ spl0_21
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1323,f994,f989,f341,f1251]) ).

fof(f1323,plain,
    ( ~ c0_1(a1758)
    | ~ spl0_21
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f1313,f991]) ).

fof(f1313,plain,
    ( ~ c0_1(a1758)
    | ~ c2_1(a1758)
    | ~ spl0_21
    | ~ spl0_147 ),
    inference(resolution,[],[f342,f996]) ).

fof(f1304,plain,
    ( spl0_54
    | ~ spl0_46
    | ~ spl0_47
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1296,f547,f456,f452,f493]) ).

fof(f547,plain,
    ( spl0_63
  <=> ! [X125] :
        ( c2_1(X125)
        | c0_1(X125)
        | c1_1(X125) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1296,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_46
    | ~ spl0_47
    | ~ spl0_63 ),
    inference(resolution,[],[f1267,f457]) ).

fof(f1267,plain,
    ( ! [X125] :
        ( c1_1(X125)
        | c2_1(X125) )
    | ~ spl0_46
    | ~ spl0_63 ),
    inference(subsumption_resolution,[],[f548,f453]) ).

fof(f548,plain,
    ( ! [X125] :
        ( c2_1(X125)
        | c0_1(X125)
        | c1_1(X125) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f1285,plain,
    ( ~ spl0_163
    | ~ spl0_46
    | spl0_101
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1284,f754,f749,f452,f1279]) ).

fof(f1284,plain,
    ( ~ c0_1(a1782)
    | ~ spl0_46
    | spl0_101
    | spl0_102 ),
    inference(subsumption_resolution,[],[f1283,f751]) ).

fof(f1283,plain,
    ( ~ c0_1(a1782)
    | c2_1(a1782)
    | ~ spl0_46
    | spl0_102 ),
    inference(resolution,[],[f756,f453]) ).

fof(f1282,plain,
    ( ~ spl0_163
    | spl0_101
    | ~ spl0_32
    | spl0_100 ),
    inference(avatar_split_clause,[],[f1277,f744,f387,f749,f1279]) ).

fof(f1277,plain,
    ( c2_1(a1782)
    | ~ c0_1(a1782)
    | ~ spl0_32
    | spl0_100 ),
    inference(resolution,[],[f746,f388]) ).

fof(f1265,plain,
    ( ~ spl0_37
    | ~ spl0_46
    | spl0_130
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f1264]) ).

fof(f1264,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_46
    | spl0_130
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1259,f916]) ).

fof(f1259,plain,
    ( ~ c0_1(a1765)
    | ~ spl0_37
    | ~ spl0_46
    | spl0_130 ),
    inference(resolution,[],[f1245,f906]) ).

fof(f906,plain,
    ( ~ c1_1(a1765)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f904,plain,
    ( spl0_130
  <=> c1_1(a1765) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1245,plain,
    ( ! [X19] :
        ( c1_1(X19)
        | ~ c0_1(X19) )
    | ~ spl0_37
    | ~ spl0_46 ),
    inference(subsumption_resolution,[],[f408,f453]) ).

fof(f1234,plain,
    ( ~ spl0_38
    | ~ spl0_48
    | spl0_112
    | spl0_113
    | ~ spl0_114 ),
    inference(avatar_contradiction_clause,[],[f1233]) ).

fof(f1233,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_48
    | spl0_112
    | spl0_113
    | ~ spl0_114 ),
    inference(subsumption_resolution,[],[f1232,f1096]) ).

fof(f1096,plain,
    ( c1_1(a1777)
    | ~ spl0_38
    | spl0_112
    | ~ spl0_114 ),
    inference(subsumption_resolution,[],[f1094,f820]) ).

fof(f820,plain,
    ( c2_1(a1777)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f818,plain,
    ( spl0_114
  <=> c2_1(a1777) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1094,plain,
    ( c1_1(a1777)
    | ~ c2_1(a1777)
    | ~ spl0_38
    | spl0_112 ),
    inference(resolution,[],[f412,f810]) ).

fof(f810,plain,
    ( ~ c3_1(a1777)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f808]) ).

fof(f808,plain,
    ( spl0_112
  <=> c3_1(a1777) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1232,plain,
    ( ~ c1_1(a1777)
    | ~ spl0_48
    | spl0_113
    | ~ spl0_114 ),
    inference(subsumption_resolution,[],[f1226,f815]) ).

fof(f815,plain,
    ( ~ c0_1(a1777)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f813]) ).

fof(f813,plain,
    ( spl0_113
  <=> c0_1(a1777) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1226,plain,
    ( c0_1(a1777)
    | ~ c1_1(a1777)
    | ~ spl0_48
    | ~ spl0_114 ),
    inference(resolution,[],[f464,f820]) ).

fof(f1231,plain,
    ( ~ spl0_48
    | spl0_115
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(avatar_contradiction_clause,[],[f1230]) ).

fof(f1230,plain,
    ( $false
    | ~ spl0_48
    | spl0_115
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(subsumption_resolution,[],[f1229,f836]) ).

fof(f1229,plain,
    ( ~ c1_1(a1771)
    | ~ spl0_48
    | spl0_115
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f1225,f826]) ).

fof(f1225,plain,
    ( c0_1(a1771)
    | ~ c1_1(a1771)
    | ~ spl0_48
    | ~ spl0_116 ),
    inference(resolution,[],[f464,f831]) ).

fof(f1206,plain,
    ( spl0_97
    | ~ spl0_47
    | ~ spl0_98
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1205,f738,f733,f456,f728]) ).

fof(f1205,plain,
    ( c0_1(a1783)
    | ~ spl0_47
    | ~ spl0_98
    | ~ spl0_99 ),
    inference(subsumption_resolution,[],[f1193,f735]) ).

fof(f1193,plain,
    ( c0_1(a1783)
    | ~ c3_1(a1783)
    | ~ spl0_47
    | ~ spl0_99 ),
    inference(resolution,[],[f457,f740]) ).

fof(f740,plain,
    ( c1_1(a1783)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f1204,plain,
    ( ~ spl0_41
    | ~ spl0_47
    | spl0_88
    | spl0_89
    | ~ spl0_90 ),
    inference(avatar_contradiction_clause,[],[f1203]) ).

fof(f1203,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_47
    | spl0_88
    | spl0_89
    | ~ spl0_90 ),
    inference(subsumption_resolution,[],[f1202,f692]) ).

fof(f1202,plain,
    ( ~ c3_1(a1799)
    | ~ spl0_41
    | ~ spl0_47
    | spl0_88
    | spl0_89
    | ~ spl0_90 ),
    inference(subsumption_resolution,[],[f1195,f687]) ).

fof(f1195,plain,
    ( c0_1(a1799)
    | ~ c3_1(a1799)
    | ~ spl0_41
    | ~ spl0_47
    | spl0_88
    | ~ spl0_90 ),
    inference(resolution,[],[f457,f1165]) ).

fof(f1165,plain,
    ( c1_1(a1799)
    | ~ spl0_41
    | spl0_88
    | ~ spl0_90 ),
    inference(subsumption_resolution,[],[f1155,f682]) ).

fof(f1155,plain,
    ( c1_1(a1799)
    | c2_1(a1799)
    | ~ spl0_41
    | ~ spl0_90 ),
    inference(resolution,[],[f429,f692]) ).

fof(f1144,plain,
    ( ~ spl0_96
    | spl0_158
    | ~ spl0_32
    | spl0_94 ),
    inference(avatar_split_clause,[],[f1137,f712,f387,f1140,f722]) ).

fof(f1137,plain,
    ( c2_1(a1786)
    | ~ c0_1(a1786)
    | ~ spl0_32
    | spl0_94 ),
    inference(resolution,[],[f714,f388]) ).

fof(f1090,plain,
    ( ~ spl0_84
    | spl0_157
    | ~ spl0_32
    | spl0_82 ),
    inference(avatar_split_clause,[],[f1085,f648,f387,f1087,f658]) ).

fof(f658,plain,
    ( spl0_84
  <=> c0_1(a1809) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1085,plain,
    ( c2_1(a1809)
    | ~ c0_1(a1809)
    | ~ spl0_32
    | spl0_82 ),
    inference(resolution,[],[f650,f388]) ).

fof(f1078,plain,
    ( ~ spl0_34
    | ~ spl0_67
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(avatar_contradiction_clause,[],[f1077]) ).

fof(f1077,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_67
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(subsumption_resolution,[],[f1076,f575]) ).

fof(f1076,plain,
    ( ~ c2_1(a1805)
    | ~ spl0_34
    | ~ spl0_67
    | ~ spl0_69 ),
    inference(subsumption_resolution,[],[f1072,f570]) ).

fof(f1072,plain,
    ( ~ c3_1(a1805)
    | ~ c2_1(a1805)
    | ~ spl0_34
    | ~ spl0_69 ),
    inference(resolution,[],[f396,f580]) ).

fof(f1054,plain,
    ( ~ spl0_21
    | ~ spl0_70
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(avatar_contradiction_clause,[],[f1053]) ).

fof(f1053,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_70
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(subsumption_resolution,[],[f1052,f586]) ).

fof(f1052,plain,
    ( ~ c2_1(a1795)
    | ~ spl0_21
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(subsumption_resolution,[],[f1051,f596]) ).

fof(f1051,plain,
    ( ~ c0_1(a1795)
    | ~ c2_1(a1795)
    | ~ spl0_21
    | ~ spl0_71 ),
    inference(resolution,[],[f342,f591]) ).

fof(f1045,plain,
    ( ~ spl0_5
    | spl0_156 ),
    inference(avatar_split_clause,[],[f8,f1042,f272]) ).

fof(f272,plain,
    ( spl0_5
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f8,plain,
    ( c2_1(a1754)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp22
      | hskp10
      | hskp15 )
    & ( hskp26
      | hskp0
      | hskp11 )
    & ( hskp26
      | hskp10
      | hskp20 )
    & ( hskp25
      | hskp4
      | hskp2 )
    & ( hskp14
      | hskp8
      | hskp2 )
    & ( hskp4
      | hskp1
      | hskp28 )
    & ( hskp22
      | hskp16
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp23
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp29
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp3
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp24
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp30
      | hskp29
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( ~ c3_1(X6)
          | ~ c2_1(X6)
          | ~ c1_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp13
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp15
      | ! [X12] :
          ( ~ c0_1(X12)
          | c3_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c2_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c0_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X15] :
          ( ~ c2_1(X15)
          | ~ c1_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c0_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( ~ c2_1(X17)
          | ~ c1_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c1_1(X18)
          | ~ c0_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | ~ c1_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c2_1(X21)
          | c3_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X22] :
          ( ~ c2_1(X22)
          | ~ c1_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c2_1(X23)
          | c3_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X24] :
          ( ~ c1_1(X24)
          | ~ c0_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c2_1(X25)
          | c3_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c1_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c2_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X28] :
          ( ~ c0_1(X28)
          | c3_1(X28)
          | c2_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c2_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c2_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c0_1(X31)
          | c3_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X32] :
          ( ~ c2_1(X32)
          | ~ c0_1(X32)
          | c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c0_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X34] :
          ( ~ c1_1(X34)
          | ~ c0_1(X34)
          | c3_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c0_1(X35)
          | c3_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X36] :
          ( ~ c3_1(X36)
          | ~ c1_1(X36)
          | ~ c0_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X38] :
          ( ~ c0_1(X38)
          | c3_1(X38)
          | c2_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c3_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X40] :
          ( c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp8
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp20
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c2_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp27
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c2_1(X44)
          | ~ c0_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( ~ c3_1(X46)
          | ~ c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c3_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | ~ c0_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c0_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp28
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | ~ c1_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X55] :
          ( ~ c1_1(X55)
          | ~ c0_1(X55)
          | c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( ~ c1_1(X57)
          | ~ c0_1(X57)
          | c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c0_1(X58)
          | c1_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp3
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X61] :
          ( ~ c2_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c1_1(X62)
          | ~ c0_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c2_1(X63)
          | ~ c1_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ c0_1(X64)
          | c1_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c1_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp20
      | ! [X66] :
          ( ~ c2_1(X66)
          | c3_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X67] :
          ( ~ c3_1(X67)
          | ~ c0_1(X67)
          | c2_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c2_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( ~ c3_1(X69)
          | ~ c2_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c0_1(X70)
          | c1_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c2_1(X71)
          | c3_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp19
      | ! [X72] :
          ( ~ c1_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X73] :
          ( ~ c1_1(X73)
          | ~ c0_1(X73)
          | c2_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c1_1(X74)
          | c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X75] :
          ( ~ c3_1(X75)
          | ~ c2_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c1_1(X76)
          | c3_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp15
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X78] :
          ( ~ c3_1(X78)
          | ~ c1_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X80] :
          ( ~ c2_1(X80)
          | ~ c0_1(X80)
          | c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X82] :
          ( ~ c3_1(X82)
          | ~ c0_1(X82)
          | c2_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c3_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X84] :
          ( ~ c0_1(X84)
          | c3_1(X84)
          | c1_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X86] :
          ( ~ c0_1(X86)
          | c2_1(X86)
          | c1_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c3_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X88] :
          ( c3_1(X88)
          | c2_1(X88)
          | c1_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c3_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X90] :
          ( c3_1(X90)
          | c2_1(X90)
          | c1_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c3_1(X91)
          | c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X92] :
          ( ~ c1_1(X92)
          | c3_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c3_1(X93)
          | c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp27
      | ! [X94] :
          ( ~ c1_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X95] :
          ( ~ c3_1(X95)
          | ~ c0_1(X95)
          | c1_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c1_1(X96)
          | c2_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp9
      | ! [X97] :
          ( c3_1(X97)
          | c2_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( ! [X98] :
          ( ~ c3_1(X98)
          | ~ c2_1(X98)
          | ~ c0_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c0_1(X99)
          | c2_1(X99)
          | c1_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c3_1(X100)
          | c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( ! [X101] :
          ( ~ c3_1(X101)
          | ~ c2_1(X101)
          | ~ c1_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( c3_1(X102)
          | c2_1(X102)
          | c1_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( c3_1(X103)
          | c2_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X104] :
          ( ~ c3_1(X104)
          | ~ c2_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c3_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X106] :
          ( ~ c3_1(X106)
          | ~ c2_1(X106)
          | ~ c0_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( ~ c3_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( ! [X108] :
          ( ~ c3_1(X108)
          | ~ c2_1(X108)
          | ~ c1_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( ~ c3_1(X109)
          | ~ c2_1(X109)
          | ~ c0_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c3_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( ! [X111] :
          ( ~ c2_1(X111)
          | ~ c1_1(X111)
          | ~ c0_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( ~ c1_1(X112)
          | ~ c0_1(X112)
          | c3_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c3_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( ! [X114] :
          ( ~ c2_1(X114)
          | ~ c0_1(X114)
          | c1_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( ~ c2_1(X115)
          | ~ c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( ~ c3_1(X116)
          | c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X117] :
          ( ~ c1_1(X117)
          | c2_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( ~ c3_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp4
      | ! [X119] :
          ( ~ c2_1(X119)
          | c1_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X120] :
          ( ~ c0_1(X120)
          | c2_1(X120)
          | c1_1(X120)
          | ~ ndr1_0 )
      | ! [X121] :
          ( ~ c2_1(X121)
          | c1_1(X121)
          | c0_1(X121)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X122] :
          ( c3_1(X122)
          | c1_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp27
      | ! [X123] :
          ( c3_1(X123)
          | c1_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X124] :
          ( ~ c2_1(X124)
          | c3_1(X124)
          | c1_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( c2_1(X125)
          | c1_1(X125)
          | c0_1(X125)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X126] :
          ( ~ c3_1(X126)
          | c2_1(X126)
          | c0_1(X126)
          | ~ ndr1_0 )
      | ! [X127] :
          ( c2_1(X127)
          | c1_1(X127)
          | c0_1(X127)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a1823)
        & c2_1(a1823)
        & c1_1(a1823)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a1805)
        & c2_1(a1805)
        & c0_1(a1805)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a1795)
        & c1_1(a1795)
        & c0_1(a1795)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a1756)
        & c1_1(a1756)
        & c0_1(a1756)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a1845)
        & ~ c1_1(a1845)
        & c3_1(a1845)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a1827)
        & ~ c1_1(a1827)
        & ~ c0_1(a1827)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a1809)
        & ~ c1_1(a1809)
        & c0_1(a1809)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a1807)
        & ~ c1_1(a1807)
        & ~ c0_1(a1807)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a1799)
        & ~ c0_1(a1799)
        & c3_1(a1799)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a1788)
        & c2_1(a1788)
        & c0_1(a1788)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a1786)
        & c1_1(a1786)
        & c0_1(a1786)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a1783)
        & c3_1(a1783)
        & c1_1(a1783)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a1782)
        & ~ c2_1(a1782)
        & ~ c1_1(a1782)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a1781)
        & c3_1(a1781)
        & c2_1(a1781)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a1780)
        & c3_1(a1780)
        & c1_1(a1780)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a1779)
        & ~ c2_1(a1779)
        & c0_1(a1779)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a1777)
        & ~ c0_1(a1777)
        & c2_1(a1777)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c0_1(a1771)
        & c2_1(a1771)
        & c1_1(a1771)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a1770)
        & ~ c0_1(a1770)
        & c1_1(a1770)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a1768)
        & c3_1(a1768)
        & c0_1(a1768)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a1767)
        & ~ c0_1(a1767)
        & c3_1(a1767)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a1766)
        & ~ c1_1(a1766)
        & c0_1(a1766)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a1765)
        & c2_1(a1765)
        & c0_1(a1765)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a1763)
        & c3_1(a1763)
        & c0_1(a1763)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c0_1(a1762)
        & c3_1(a1762)
        & c2_1(a1762)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a1760)
        & ~ c2_1(a1760)
        & ~ c0_1(a1760)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a1759)
        & ~ c2_1(a1759)
        & c1_1(a1759)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a1758)
        & c2_1(a1758)
        & c1_1(a1758)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a1757)
        & c1_1(a1757)
        & c0_1(a1757)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a1755)
        & ~ c0_1(a1755)
        & c1_1(a1755)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a1754)
        & ~ c0_1(a1754)
        & c2_1(a1754)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp22
      | hskp10
      | hskp15 )
    & ( hskp26
      | hskp0
      | hskp11 )
    & ( hskp26
      | hskp10
      | hskp20 )
    & ( hskp25
      | hskp4
      | hskp2 )
    & ( hskp14
      | hskp8
      | hskp2 )
    & ( hskp4
      | hskp1
      | hskp28 )
    & ( hskp22
      | hskp16
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp23
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp29
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp3
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp24
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp30
      | hskp29
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( ~ c3_1(X6)
          | ~ c2_1(X6)
          | ~ c1_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp13
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp15
      | ! [X12] :
          ( ~ c0_1(X12)
          | c3_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c2_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c0_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X15] :
          ( ~ c2_1(X15)
          | ~ c1_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c0_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( ~ c2_1(X17)
          | ~ c1_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c1_1(X18)
          | ~ c0_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | ~ c1_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c2_1(X21)
          | c3_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X22] :
          ( ~ c2_1(X22)
          | ~ c1_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c2_1(X23)
          | c3_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X24] :
          ( ~ c1_1(X24)
          | ~ c0_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c2_1(X25)
          | c3_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c1_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c2_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X28] :
          ( ~ c0_1(X28)
          | c3_1(X28)
          | c2_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c2_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c2_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c0_1(X31)
          | c3_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X32] :
          ( ~ c2_1(X32)
          | ~ c0_1(X32)
          | c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c0_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X34] :
          ( ~ c1_1(X34)
          | ~ c0_1(X34)
          | c3_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c0_1(X35)
          | c3_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X36] :
          ( ~ c3_1(X36)
          | ~ c1_1(X36)
          | ~ c0_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X38] :
          ( ~ c0_1(X38)
          | c3_1(X38)
          | c2_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c3_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X40] :
          ( c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp8
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp20
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c2_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp27
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c2_1(X44)
          | ~ c0_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( ~ c3_1(X46)
          | ~ c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c3_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | ~ c0_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c0_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp28
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | ~ c1_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X55] :
          ( ~ c1_1(X55)
          | ~ c0_1(X55)
          | c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( ~ c1_1(X57)
          | ~ c0_1(X57)
          | c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c0_1(X58)
          | c1_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp3
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X61] :
          ( ~ c2_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c1_1(X62)
          | ~ c0_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c2_1(X63)
          | ~ c1_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ c0_1(X64)
          | c1_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c1_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp20
      | ! [X66] :
          ( ~ c2_1(X66)
          | c3_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X67] :
          ( ~ c3_1(X67)
          | ~ c0_1(X67)
          | c2_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c2_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( ~ c3_1(X69)
          | ~ c2_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c0_1(X70)
          | c1_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c2_1(X71)
          | c3_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp19
      | ! [X72] :
          ( ~ c1_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X73] :
          ( ~ c1_1(X73)
          | ~ c0_1(X73)
          | c2_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c1_1(X74)
          | c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X75] :
          ( ~ c3_1(X75)
          | ~ c2_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c1_1(X76)
          | c3_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp15
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X78] :
          ( ~ c3_1(X78)
          | ~ c1_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X80] :
          ( ~ c2_1(X80)
          | ~ c0_1(X80)
          | c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X82] :
          ( ~ c3_1(X82)
          | ~ c0_1(X82)
          | c2_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c3_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X84] :
          ( ~ c0_1(X84)
          | c3_1(X84)
          | c1_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X86] :
          ( ~ c0_1(X86)
          | c2_1(X86)
          | c1_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c3_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X88] :
          ( c3_1(X88)
          | c2_1(X88)
          | c1_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c3_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X90] :
          ( c3_1(X90)
          | c2_1(X90)
          | c1_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c3_1(X91)
          | c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X92] :
          ( ~ c1_1(X92)
          | c3_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c3_1(X93)
          | c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp27
      | ! [X94] :
          ( ~ c1_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X95] :
          ( ~ c3_1(X95)
          | ~ c0_1(X95)
          | c1_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c1_1(X96)
          | c2_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp9
      | ! [X97] :
          ( c3_1(X97)
          | c2_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( ! [X98] :
          ( ~ c3_1(X98)
          | ~ c2_1(X98)
          | ~ c0_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c0_1(X99)
          | c2_1(X99)
          | c1_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c3_1(X100)
          | c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( ! [X101] :
          ( ~ c3_1(X101)
          | ~ c2_1(X101)
          | ~ c1_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( c3_1(X102)
          | c2_1(X102)
          | c1_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( c3_1(X103)
          | c2_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X104] :
          ( ~ c3_1(X104)
          | ~ c2_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c3_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X106] :
          ( ~ c3_1(X106)
          | ~ c2_1(X106)
          | ~ c0_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( ~ c3_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( ! [X108] :
          ( ~ c3_1(X108)
          | ~ c2_1(X108)
          | ~ c1_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( ~ c3_1(X109)
          | ~ c2_1(X109)
          | ~ c0_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c3_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( ! [X111] :
          ( ~ c2_1(X111)
          | ~ c1_1(X111)
          | ~ c0_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( ~ c1_1(X112)
          | ~ c0_1(X112)
          | c3_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c3_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( ! [X114] :
          ( ~ c2_1(X114)
          | ~ c0_1(X114)
          | c1_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( ~ c2_1(X115)
          | ~ c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( ~ c3_1(X116)
          | c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X117] :
          ( ~ c1_1(X117)
          | c2_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( ~ c3_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp4
      | ! [X119] :
          ( ~ c2_1(X119)
          | c1_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X120] :
          ( ~ c0_1(X120)
          | c2_1(X120)
          | c1_1(X120)
          | ~ ndr1_0 )
      | ! [X121] :
          ( ~ c2_1(X121)
          | c1_1(X121)
          | c0_1(X121)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X122] :
          ( c3_1(X122)
          | c1_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp27
      | ! [X123] :
          ( c3_1(X123)
          | c1_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X124] :
          ( ~ c2_1(X124)
          | c3_1(X124)
          | c1_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( c2_1(X125)
          | c1_1(X125)
          | c0_1(X125)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X126] :
          ( ~ c3_1(X126)
          | c2_1(X126)
          | c0_1(X126)
          | ~ ndr1_0 )
      | ! [X127] :
          ( c2_1(X127)
          | c1_1(X127)
          | c0_1(X127)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a1823)
        & c2_1(a1823)
        & c1_1(a1823)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a1805)
        & c2_1(a1805)
        & c0_1(a1805)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a1795)
        & c1_1(a1795)
        & c0_1(a1795)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a1756)
        & c1_1(a1756)
        & c0_1(a1756)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a1845)
        & ~ c1_1(a1845)
        & c3_1(a1845)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a1827)
        & ~ c1_1(a1827)
        & ~ c0_1(a1827)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a1809)
        & ~ c1_1(a1809)
        & c0_1(a1809)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a1807)
        & ~ c1_1(a1807)
        & ~ c0_1(a1807)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a1799)
        & ~ c0_1(a1799)
        & c3_1(a1799)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a1788)
        & c2_1(a1788)
        & c0_1(a1788)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a1786)
        & c1_1(a1786)
        & c0_1(a1786)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a1783)
        & c3_1(a1783)
        & c1_1(a1783)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a1782)
        & ~ c2_1(a1782)
        & ~ c1_1(a1782)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a1781)
        & c3_1(a1781)
        & c2_1(a1781)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a1780)
        & c3_1(a1780)
        & c1_1(a1780)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a1779)
        & ~ c2_1(a1779)
        & c0_1(a1779)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a1777)
        & ~ c0_1(a1777)
        & c2_1(a1777)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c0_1(a1771)
        & c2_1(a1771)
        & c1_1(a1771)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a1770)
        & ~ c0_1(a1770)
        & c1_1(a1770)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a1768)
        & c3_1(a1768)
        & c0_1(a1768)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a1767)
        & ~ c0_1(a1767)
        & c3_1(a1767)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a1766)
        & ~ c1_1(a1766)
        & c0_1(a1766)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a1765)
        & c2_1(a1765)
        & c0_1(a1765)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a1763)
        & c3_1(a1763)
        & c0_1(a1763)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c0_1(a1762)
        & c3_1(a1762)
        & c2_1(a1762)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a1760)
        & ~ c2_1(a1760)
        & ~ c0_1(a1760)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a1759)
        & ~ c2_1(a1759)
        & c1_1(a1759)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a1758)
        & c2_1(a1758)
        & c1_1(a1758)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a1757)
        & c1_1(a1757)
        & c0_1(a1757)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a1755)
        & ~ c0_1(a1755)
        & c1_1(a1755)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a1754)
        & ~ c0_1(a1754)
        & c2_1(a1754)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp22
      | hskp10
      | hskp15 )
    & ( hskp26
      | hskp0
      | hskp11 )
    & ( hskp26
      | hskp10
      | hskp20 )
    & ( hskp25
      | hskp4
      | hskp2 )
    & ( hskp14
      | hskp8
      | hskp2 )
    & ( hskp4
      | hskp1
      | hskp28 )
    & ( hskp22
      | hskp16
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp5
      | hskp23
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c1_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp4
      | hskp29
      | ! [X2] :
          ( ndr1_0
         => ( ~ c2_1(X2)
            | ~ c1_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp25
      | hskp3
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c1_1(X3)
            | c3_1(X3) ) ) )
    & ( hskp16
      | hskp24
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | c3_1(X4) ) ) )
    & ( hskp30
      | hskp29
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c1_1(X5)
            | c3_1(X5) ) ) )
    & ( ! [X6] :
          ( ndr1_0
         => ( ~ c3_1(X6)
            | ~ c2_1(X6)
            | ~ c1_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c1_1(X7)
            | ~ c0_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c1_1(X8)
            | ~ c0_1(X8)
            | c3_1(X8) ) ) )
    & ( hskp28
      | ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | ~ c1_1(X9)
            | ~ c0_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c3_1(X10)
            | ~ c1_1(X10)
            | c2_1(X10) ) ) )
    & ( hskp19
      | hskp13
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | ~ c0_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp17
      | hskp15
      | ! [X12] :
          ( ndr1_0
         => ( ~ c0_1(X12)
            | c3_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp18
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | ~ c2_1(X13)
            | ~ c0_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c0_1(X14)
            | c3_1(X14)
            | c2_1(X14) ) ) )
    & ( hskp5
      | ! [X15] :
          ( ndr1_0
         => ( ~ c2_1(X15)
            | ~ c1_1(X15)
            | ~ c0_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | ~ c0_1(X16)
            | c1_1(X16) ) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( ~ c2_1(X17)
            | ~ c1_1(X17)
            | ~ c0_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c1_1(X18)
            | ~ c0_1(X18)
            | c3_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | ~ c0_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp18
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c2_1(X20)
            | ~ c1_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c2_1(X21)
            | c3_1(X21)
            | c1_1(X21) ) ) )
    & ( hskp22
      | ! [X22] :
          ( ndr1_0
         => ( ~ c2_1(X22)
            | ~ c1_1(X22)
            | c3_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c2_1(X23)
            | c3_1(X23)
            | c1_1(X23) ) ) )
    & ( hskp15
      | ! [X24] :
          ( ndr1_0
         => ( ~ c1_1(X24)
            | ~ c0_1(X24)
            | c3_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c2_1(X25)
            | c3_1(X25)
            | c1_1(X25) ) ) )
    & ( hskp23
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c1_1(X26)
            | c2_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c2_1(X27)
            | c3_1(X27)
            | c1_1(X27) ) ) )
    & ( hskp15
      | ! [X28] :
          ( ndr1_0
         => ( ~ c0_1(X28)
            | c3_1(X28)
            | c2_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c2_1(X29)
            | c3_1(X29)
            | c1_1(X29) ) ) )
    & ( hskp24
      | ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | ~ c2_1(X30)
            | ~ c1_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c0_1(X31)
            | c3_1(X31)
            | c1_1(X31) ) ) )
    & ( hskp2
      | ! [X32] :
          ( ndr1_0
         => ( ~ c2_1(X32)
            | ~ c0_1(X32)
            | c3_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c0_1(X33)
            | c3_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp23
      | ! [X34] :
          ( ndr1_0
         => ( ~ c1_1(X34)
            | ~ c0_1(X34)
            | c3_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c0_1(X35)
            | c3_1(X35)
            | c1_1(X35) ) ) )
    & ( hskp0
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | ~ c1_1(X36)
            | ~ c0_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | c2_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp29
      | ! [X38] :
          ( ndr1_0
         => ( ~ c0_1(X38)
            | c3_1(X38)
            | c2_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | c2_1(X39)
            | c1_1(X39) ) ) )
    & ( hskp11
      | ! [X40] :
          ( ndr1_0
         => ( c3_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) ) )
    & ( hskp4
      | hskp8
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c2_1(X41)
            | c0_1(X41) ) ) )
    & ( hskp8
      | hskp20
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | ~ c2_1(X42)
            | c0_1(X42) ) ) )
    & ( hskp22
      | hskp27
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c2_1(X43)
            | c0_1(X43) ) ) )
    & ( hskp16
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c2_1(X44)
            | ~ c0_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c2_1(X45)
            | c0_1(X45) ) ) )
    & ( ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | ~ c2_1(X46)
            | c1_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | c2_1(X47)
            | c1_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c2_1(X48)
            | c0_1(X48) ) ) )
    & ( ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c2_1(X49)
            | ~ c0_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c0_1(X50)
            | c2_1(X50)
            | c1_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c2_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp1
      | hskp28
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c1_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp17
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c2_1(X53)
            | ~ c1_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c1_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp3
      | ! [X55] :
          ( ndr1_0
         => ( ~ c1_1(X55)
            | ~ c0_1(X55)
            | c3_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) ) )
    & ( ! [X57] :
          ( ndr1_0
         => ( ~ c1_1(X57)
            | ~ c0_1(X57)
            | c2_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | ~ c0_1(X58)
            | c1_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c1_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp6
      | hskp3
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | ~ c1_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp13
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | ~ c1_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp27
      | ! [X62] :
          ( ndr1_0
         => ( ~ c2_1(X62)
            | ~ c1_1(X62)
            | ~ c0_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c2_1(X63)
            | ~ c1_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp21
      | ! [X64] :
          ( ndr1_0
         => ( ~ c2_1(X64)
            | ~ c0_1(X64)
            | c1_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | ~ c1_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp6
      | hskp20
      | ! [X66] :
          ( ndr1_0
         => ( ~ c2_1(X66)
            | c3_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp11
      | ! [X67] :
          ( ndr1_0
         => ( ~ c3_1(X67)
            | ~ c0_1(X67)
            | c2_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | c3_1(X68)
            | c0_1(X68) ) ) )
    & ( ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | ~ c2_1(X69)
            | c1_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | ~ c0_1(X70)
            | c1_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c2_1(X71)
            | c3_1(X71)
            | c0_1(X71) ) ) )
    & ( hskp6
      | hskp19
      | ! [X72] :
          ( ndr1_0
         => ( ~ c1_1(X72)
            | c3_1(X72)
            | c0_1(X72) ) ) )
    & ( hskp18
      | ! [X73] :
          ( ndr1_0
         => ( ~ c1_1(X73)
            | ~ c0_1(X73)
            | c2_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | c3_1(X74)
            | c0_1(X74) ) ) )
    & ( hskp17
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | ~ c2_1(X75)
            | c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c1_1(X76)
            | c3_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp16
      | hskp15
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | c2_1(X77)
            | c0_1(X77) ) ) )
    & ( hskp3
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | ~ c1_1(X78)
            | ~ c0_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | c2_1(X79)
            | c0_1(X79) ) ) )
    & ( hskp14
      | ! [X80] :
          ( ndr1_0
         => ( ~ c2_1(X80)
            | ~ c0_1(X80)
            | c3_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | c2_1(X81)
            | c0_1(X81) ) ) )
    & ( hskp10
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | ~ c0_1(X82)
            | c2_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | c2_1(X83)
            | c0_1(X83) ) ) )
    & ( hskp10
      | ! [X84] :
          ( ndr1_0
         => ( ~ c0_1(X84)
            | c3_1(X84)
            | c1_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | c2_1(X85)
            | c0_1(X85) ) ) )
    & ( hskp27
      | ! [X86] :
          ( ndr1_0
         => ( ~ c0_1(X86)
            | c2_1(X86)
            | c1_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | c2_1(X87)
            | c0_1(X87) ) ) )
    & ( hskp13
      | ! [X88] :
          ( ndr1_0
         => ( c3_1(X88)
            | c2_1(X88)
            | c1_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c3_1(X89)
            | c2_1(X89)
            | c0_1(X89) ) ) )
    & ( hskp2
      | ! [X90] :
          ( ndr1_0
         => ( c3_1(X90)
            | c2_1(X90)
            | c1_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | c2_1(X91)
            | c0_1(X91) ) ) )
    & ( hskp13
      | ! [X92] :
          ( ndr1_0
         => ( ~ c1_1(X92)
            | c3_1(X92)
            | c0_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | c2_1(X93)
            | c0_1(X93) ) ) )
    & ( hskp12
      | hskp27
      | ! [X94] :
          ( ndr1_0
         => ( ~ c1_1(X94)
            | c2_1(X94)
            | c0_1(X94) ) ) )
    & ( hskp11
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | ~ c0_1(X95)
            | c1_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c1_1(X96)
            | c2_1(X96)
            | c0_1(X96) ) ) )
    & ( hskp10
      | hskp9
      | ! [X97] :
          ( ndr1_0
         => ( c3_1(X97)
            | c2_1(X97)
            | c0_1(X97) ) ) )
    & ( ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | ~ c2_1(X98)
            | ~ c0_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c0_1(X99)
            | c2_1(X99)
            | c1_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( c3_1(X100)
            | c2_1(X100)
            | c0_1(X100) ) ) )
    & ( ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | ~ c2_1(X101)
            | ~ c1_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( c3_1(X102)
            | c2_1(X102)
            | c1_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( c3_1(X103)
            | c2_1(X103)
            | c0_1(X103) ) ) )
    & ( hskp8
      | ! [X104] :
          ( ndr1_0
         => ( ~ c3_1(X104)
            | ~ c2_1(X104)
            | ~ c1_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | c1_1(X105)
            | c0_1(X105) ) ) )
    & ( hskp6
      | ! [X106] :
          ( ndr1_0
         => ( ~ c3_1(X106)
            | ~ c2_1(X106)
            | ~ c0_1(X106) ) )
      | ! [X107] :
          ( ndr1_0
         => ( ~ c3_1(X107)
            | c1_1(X107)
            | c0_1(X107) ) ) )
    & ( ! [X108] :
          ( ndr1_0
         => ( ~ c3_1(X108)
            | ~ c2_1(X108)
            | ~ c1_1(X108) ) )
      | ! [X109] :
          ( ndr1_0
         => ( ~ c3_1(X109)
            | ~ c2_1(X109)
            | ~ c0_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( ~ c3_1(X110)
            | c1_1(X110)
            | c0_1(X110) ) ) )
    & ( ! [X111] :
          ( ndr1_0
         => ( ~ c2_1(X111)
            | ~ c1_1(X111)
            | ~ c0_1(X111) ) )
      | ! [X112] :
          ( ndr1_0
         => ( ~ c1_1(X112)
            | ~ c0_1(X112)
            | c3_1(X112) ) )
      | ! [X113] :
          ( ndr1_0
         => ( ~ c3_1(X113)
            | c1_1(X113)
            | c0_1(X113) ) ) )
    & ( ! [X114] :
          ( ndr1_0
         => ( ~ c2_1(X114)
            | ~ c0_1(X114)
            | c1_1(X114) ) )
      | ! [X115] :
          ( ndr1_0
         => ( ~ c2_1(X115)
            | ~ c1_1(X115)
            | c0_1(X115) ) )
      | ! [X116] :
          ( ndr1_0
         => ( ~ c3_1(X116)
            | c1_1(X116)
            | c0_1(X116) ) ) )
    & ( hskp7
      | ! [X117] :
          ( ndr1_0
         => ( ~ c1_1(X117)
            | c2_1(X117)
            | c0_1(X117) ) )
      | ! [X118] :
          ( ndr1_0
         => ( ~ c3_1(X118)
            | c1_1(X118)
            | c0_1(X118) ) ) )
    & ( hskp6
      | hskp4
      | ! [X119] :
          ( ndr1_0
         => ( ~ c2_1(X119)
            | c1_1(X119)
            | c0_1(X119) ) ) )
    & ( hskp5
      | ! [X120] :
          ( ndr1_0
         => ( ~ c0_1(X120)
            | c2_1(X120)
            | c1_1(X120) ) )
      | ! [X121] :
          ( ndr1_0
         => ( ~ c2_1(X121)
            | c1_1(X121)
            | c0_1(X121) ) ) )
    & ( hskp4
      | hskp3
      | ! [X122] :
          ( ndr1_0
         => ( c3_1(X122)
            | c1_1(X122)
            | c0_1(X122) ) ) )
    & ( hskp2
      | hskp27
      | ! [X123] :
          ( ndr1_0
         => ( c3_1(X123)
            | c1_1(X123)
            | c0_1(X123) ) ) )
    & ( hskp1
      | ! [X124] :
          ( ndr1_0
         => ( ~ c2_1(X124)
            | c3_1(X124)
            | c1_1(X124) ) )
      | ! [X125] :
          ( ndr1_0
         => ( c2_1(X125)
            | c1_1(X125)
            | c0_1(X125) ) ) )
    & ( hskp0
      | ! [X126] :
          ( ndr1_0
         => ( ~ c3_1(X126)
            | c2_1(X126)
            | c0_1(X126) ) )
      | ! [X127] :
          ( ndr1_0
         => ( c2_1(X127)
            | c1_1(X127)
            | c0_1(X127) ) ) )
    & ( ( c3_1(a1823)
        & c2_1(a1823)
        & c1_1(a1823)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a1805)
        & c2_1(a1805)
        & c0_1(a1805)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a1795)
        & c1_1(a1795)
        & c0_1(a1795)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a1756)
        & c1_1(a1756)
        & c0_1(a1756)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a1845)
        & ~ c1_1(a1845)
        & c3_1(a1845)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a1827)
        & ~ c1_1(a1827)
        & ~ c0_1(a1827)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a1809)
        & ~ c1_1(a1809)
        & c0_1(a1809)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a1807)
        & ~ c1_1(a1807)
        & ~ c0_1(a1807)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a1799)
        & ~ c0_1(a1799)
        & c3_1(a1799)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a1788)
        & c2_1(a1788)
        & c0_1(a1788)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a1786)
        & c1_1(a1786)
        & c0_1(a1786)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a1783)
        & c3_1(a1783)
        & c1_1(a1783)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a1782)
        & ~ c2_1(a1782)
        & ~ c1_1(a1782)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a1781)
        & c3_1(a1781)
        & c2_1(a1781)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a1780)
        & c3_1(a1780)
        & c1_1(a1780)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a1779)
        & ~ c2_1(a1779)
        & c0_1(a1779)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a1777)
        & ~ c0_1(a1777)
        & c2_1(a1777)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c0_1(a1771)
        & c2_1(a1771)
        & c1_1(a1771)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a1770)
        & ~ c0_1(a1770)
        & c1_1(a1770)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a1768)
        & c3_1(a1768)
        & c0_1(a1768)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a1767)
        & ~ c0_1(a1767)
        & c3_1(a1767)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a1766)
        & ~ c1_1(a1766)
        & c0_1(a1766)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a1765)
        & c2_1(a1765)
        & c0_1(a1765)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a1763)
        & c3_1(a1763)
        & c0_1(a1763)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c0_1(a1762)
        & c3_1(a1762)
        & c2_1(a1762)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a1760)
        & ~ c2_1(a1760)
        & ~ c0_1(a1760)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a1759)
        & ~ c2_1(a1759)
        & c1_1(a1759)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a1758)
        & c2_1(a1758)
        & c1_1(a1758)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a1757)
        & c1_1(a1757)
        & c0_1(a1757)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a1755)
        & ~ c0_1(a1755)
        & c1_1(a1755)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a1754)
        & ~ c0_1(a1754)
        & c2_1(a1754)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp22
          | hskp10
          | hskp15 )
        & ( hskp26
          | hskp0
          | hskp11 )
        & ( hskp26
          | hskp10
          | hskp20 )
        & ( hskp25
          | hskp4
          | hskp2 )
        & ( hskp14
          | hskp8
          | hskp2 )
        & ( hskp4
          | hskp1
          | hskp28 )
        & ( hskp22
          | hskp16
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp5
          | hskp23
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c1_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp4
          | hskp29
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp25
          | hskp3
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c1_1(X3)
                | c3_1(X3) ) ) )
        & ( hskp16
          | hskp24
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | c3_1(X4) ) ) )
        & ( hskp30
          | hskp29
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c1_1(X5)
                | c3_1(X5) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c2_1(X6)
                | ~ c1_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c1_1(X7)
                | ~ c0_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | ~ c0_1(X8)
                | c3_1(X8) ) ) )
        & ( hskp28
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c1_1(X9)
                | ~ c0_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c1_1(X10)
                | c2_1(X10) ) ) )
        & ( hskp19
          | hskp13
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp17
          | hskp15
          | ! [X12] :
              ( ndr1_0
             => ( ~ c0_1(X12)
                | c3_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp18
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c2_1(X13)
                | ~ c0_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | c3_1(X14)
                | c2_1(X14) ) ) )
        & ( hskp5
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | ~ c1_1(X15)
                | ~ c0_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c0_1(X16)
                | c1_1(X16) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | ~ c1_1(X17)
                | ~ c0_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | ~ c0_1(X18)
                | c3_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c0_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp18
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c2_1(X20)
                | ~ c1_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | c3_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp22
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | ~ c1_1(X22)
                | c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | c3_1(X23)
                | c1_1(X23) ) ) )
        & ( hskp15
          | ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | ~ c0_1(X24)
                | c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | c3_1(X25)
                | c1_1(X25) ) ) )
        & ( hskp23
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c1_1(X26)
                | c2_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | c3_1(X27)
                | c1_1(X27) ) ) )
        & ( hskp15
          | ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | c3_1(X28)
                | c2_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | c3_1(X29)
                | c1_1(X29) ) ) )
        & ( hskp24
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | ~ c2_1(X30)
                | ~ c1_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c3_1(X31)
                | c1_1(X31) ) ) )
        & ( hskp2
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | ~ c0_1(X32)
                | c3_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp23
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | ~ c0_1(X34)
                | c3_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | c3_1(X35)
                | c1_1(X35) ) ) )
        & ( hskp0
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c1_1(X36)
                | ~ c0_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp29
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | c3_1(X38)
                | c2_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) ) )
        & ( hskp11
          | ! [X40] :
              ( ndr1_0
             => ( c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) ) )
        & ( hskp4
          | hskp8
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp8
          | hskp20
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c2_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp22
          | hskp27
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp16
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c2_1(X44)
                | ~ c0_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | c0_1(X45) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c2_1(X46)
                | c1_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | c2_1(X47)
                | c1_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c2_1(X48)
                | c0_1(X48) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c2_1(X49)
                | ~ c0_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp1
          | hskp28
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c1_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp17
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c2_1(X53)
                | ~ c1_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp3
          | ! [X55] :
              ( ndr1_0
             => ( ~ c1_1(X55)
                | ~ c0_1(X55)
                | c3_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | ~ c0_1(X57)
                | c2_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c0_1(X58)
                | c1_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp6
          | hskp3
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp13
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp27
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c1_1(X62)
                | ~ c0_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | ~ c1_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp21
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | ~ c0_1(X64)
                | c1_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c1_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp6
          | hskp20
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | c3_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp11
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c0_1(X67)
                | c2_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | c3_1(X68)
                | c0_1(X68) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c2_1(X69)
                | c1_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c0_1(X70)
                | c1_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | c3_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp6
          | hskp19
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | c3_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp18
          | ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | ~ c0_1(X73)
                | c2_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | c3_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp17
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c2_1(X75)
                | c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | c3_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp16
          | hskp15
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c2_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp3
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c1_1(X78)
                | ~ c0_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | c2_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp14
          | ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | ~ c0_1(X80)
                | c3_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | c2_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp10
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c0_1(X82)
                | c2_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | c2_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp10
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | c3_1(X84)
                | c1_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | c2_1(X85)
                | c0_1(X85) ) ) )
        & ( hskp27
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | c2_1(X86)
                | c1_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | c2_1(X87)
                | c0_1(X87) ) ) )
        & ( hskp13
          | ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | c2_1(X88)
                | c1_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | c2_1(X89)
                | c0_1(X89) ) ) )
        & ( hskp2
          | ! [X90] :
              ( ndr1_0
             => ( c3_1(X90)
                | c2_1(X90)
                | c1_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | c2_1(X91)
                | c0_1(X91) ) ) )
        & ( hskp13
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | c3_1(X92)
                | c0_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | c2_1(X93)
                | c0_1(X93) ) ) )
        & ( hskp12
          | hskp27
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | c2_1(X94)
                | c0_1(X94) ) ) )
        & ( hskp11
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c0_1(X95)
                | c1_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c1_1(X96)
                | c2_1(X96)
                | c0_1(X96) ) ) )
        & ( hskp10
          | hskp9
          | ! [X97] :
              ( ndr1_0
             => ( c3_1(X97)
                | c2_1(X97)
                | c0_1(X97) ) ) )
        & ( ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c2_1(X98)
                | ~ c0_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c0_1(X99)
                | c2_1(X99)
                | c1_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | c2_1(X100)
                | c0_1(X100) ) ) )
        & ( ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c2_1(X101)
                | ~ c1_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( c3_1(X102)
                | c2_1(X102)
                | c1_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( c3_1(X103)
                | c2_1(X103)
                | c0_1(X103) ) ) )
        & ( hskp8
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c2_1(X104)
                | ~ c1_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | c1_1(X105)
                | c0_1(X105) ) ) )
        & ( hskp6
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c2_1(X106)
                | ~ c0_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | c1_1(X107)
                | c0_1(X107) ) ) )
        & ( ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c2_1(X108)
                | ~ c1_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | ~ c2_1(X109)
                | ~ c0_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | c1_1(X110)
                | c0_1(X110) ) ) )
        & ( ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | ~ c1_1(X111)
                | ~ c0_1(X111) ) )
          | ! [X112] :
              ( ndr1_0
             => ( ~ c1_1(X112)
                | ~ c0_1(X112)
                | c3_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | c1_1(X113)
                | c0_1(X113) ) ) )
        & ( ! [X114] :
              ( ndr1_0
             => ( ~ c2_1(X114)
                | ~ c0_1(X114)
                | c1_1(X114) ) )
          | ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | ~ c1_1(X115)
                | c0_1(X115) ) )
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | c1_1(X116)
                | c0_1(X116) ) ) )
        & ( hskp7
          | ! [X117] :
              ( ndr1_0
             => ( ~ c1_1(X117)
                | c2_1(X117)
                | c0_1(X117) ) )
          | ! [X118] :
              ( ndr1_0
             => ( ~ c3_1(X118)
                | c1_1(X118)
                | c0_1(X118) ) ) )
        & ( hskp6
          | hskp4
          | ! [X119] :
              ( ndr1_0
             => ( ~ c2_1(X119)
                | c1_1(X119)
                | c0_1(X119) ) ) )
        & ( hskp5
          | ! [X120] :
              ( ndr1_0
             => ( ~ c0_1(X120)
                | c2_1(X120)
                | c1_1(X120) ) )
          | ! [X121] :
              ( ndr1_0
             => ( ~ c2_1(X121)
                | c1_1(X121)
                | c0_1(X121) ) ) )
        & ( hskp4
          | hskp3
          | ! [X122] :
              ( ndr1_0
             => ( c3_1(X122)
                | c1_1(X122)
                | c0_1(X122) ) ) )
        & ( hskp2
          | hskp27
          | ! [X123] :
              ( ndr1_0
             => ( c3_1(X123)
                | c1_1(X123)
                | c0_1(X123) ) ) )
        & ( hskp1
          | ! [X124] :
              ( ndr1_0
             => ( ~ c2_1(X124)
                | c3_1(X124)
                | c1_1(X124) ) )
          | ! [X125] :
              ( ndr1_0
             => ( c2_1(X125)
                | c1_1(X125)
                | c0_1(X125) ) ) )
        & ( hskp0
          | ! [X126] :
              ( ndr1_0
             => ( ~ c3_1(X126)
                | c2_1(X126)
                | c0_1(X126) ) )
          | ! [X127] :
              ( ndr1_0
             => ( c2_1(X127)
                | c1_1(X127)
                | c0_1(X127) ) ) )
        & ( ( c3_1(a1823)
            & c2_1(a1823)
            & c1_1(a1823)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a1805)
            & c2_1(a1805)
            & c0_1(a1805)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a1795)
            & c1_1(a1795)
            & c0_1(a1795)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a1756)
            & c1_1(a1756)
            & c0_1(a1756)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a1845)
            & ~ c1_1(a1845)
            & c3_1(a1845)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a1827)
            & ~ c1_1(a1827)
            & ~ c0_1(a1827)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a1809)
            & ~ c1_1(a1809)
            & c0_1(a1809)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a1807)
            & ~ c1_1(a1807)
            & ~ c0_1(a1807)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a1799)
            & ~ c0_1(a1799)
            & c3_1(a1799)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a1788)
            & c2_1(a1788)
            & c0_1(a1788)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a1786)
            & c1_1(a1786)
            & c0_1(a1786)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c0_1(a1783)
            & c3_1(a1783)
            & c1_1(a1783)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a1782)
            & ~ c2_1(a1782)
            & ~ c1_1(a1782)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a1781)
            & c3_1(a1781)
            & c2_1(a1781)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a1780)
            & c3_1(a1780)
            & c1_1(a1780)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a1779)
            & ~ c2_1(a1779)
            & c0_1(a1779)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a1777)
            & ~ c0_1(a1777)
            & c2_1(a1777)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c0_1(a1771)
            & c2_1(a1771)
            & c1_1(a1771)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a1770)
            & ~ c0_1(a1770)
            & c1_1(a1770)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a1768)
            & c3_1(a1768)
            & c0_1(a1768)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a1767)
            & ~ c0_1(a1767)
            & c3_1(a1767)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a1766)
            & ~ c1_1(a1766)
            & c0_1(a1766)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a1765)
            & c2_1(a1765)
            & c0_1(a1765)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c1_1(a1763)
            & c3_1(a1763)
            & c0_1(a1763)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c0_1(a1762)
            & c3_1(a1762)
            & c2_1(a1762)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a1760)
            & ~ c2_1(a1760)
            & ~ c0_1(a1760)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a1759)
            & ~ c2_1(a1759)
            & c1_1(a1759)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a1758)
            & c2_1(a1758)
            & c1_1(a1758)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a1757)
            & c1_1(a1757)
            & c0_1(a1757)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a1755)
            & ~ c0_1(a1755)
            & c1_1(a1755)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a1754)
            & ~ c0_1(a1754)
            & c2_1(a1754)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp22
          | hskp10
          | hskp15 )
        & ( hskp26
          | hskp0
          | hskp11 )
        & ( hskp26
          | hskp10
          | hskp20 )
        & ( hskp25
          | hskp4
          | hskp2 )
        & ( hskp14
          | hskp8
          | hskp2 )
        & ( hskp4
          | hskp1
          | hskp28 )
        & ( hskp22
          | hskp16
          | ! [X127] :
              ( ndr1_0
             => ( ~ c3_1(X127)
                | ~ c2_1(X127)
                | ~ c1_1(X127) ) ) )
        & ( hskp5
          | hskp23
          | ! [X126] :
              ( ndr1_0
             => ( ~ c3_1(X126)
                | ~ c1_1(X126)
                | ~ c0_1(X126) ) ) )
        & ( hskp4
          | hskp29
          | ! [X125] :
              ( ndr1_0
             => ( ~ c2_1(X125)
                | ~ c1_1(X125)
                | ~ c0_1(X125) ) ) )
        & ( hskp25
          | hskp3
          | ! [X124] :
              ( ndr1_0
             => ( ~ c2_1(X124)
                | ~ c1_1(X124)
                | c3_1(X124) ) ) )
        & ( hskp16
          | hskp24
          | ! [X123] :
              ( ndr1_0
             => ( ~ c2_1(X123)
                | ~ c1_1(X123)
                | c3_1(X123) ) ) )
        & ( hskp30
          | hskp29
          | ! [X122] :
              ( ndr1_0
             => ( ~ c2_1(X122)
                | ~ c1_1(X122)
                | c3_1(X122) ) ) )
        & ( ! [X121] :
              ( ndr1_0
             => ( ~ c3_1(X121)
                | ~ c2_1(X121)
                | ~ c1_1(X121) ) )
          | ! [X120] :
              ( ndr1_0
             => ( ~ c2_1(X120)
                | ~ c1_1(X120)
                | ~ c0_1(X120) ) )
          | ! [X119] :
              ( ndr1_0
             => ( ~ c1_1(X119)
                | ~ c0_1(X119)
                | c3_1(X119) ) ) )
        & ( hskp28
          | ! [X118] :
              ( ndr1_0
             => ( ~ c2_1(X118)
                | ~ c1_1(X118)
                | ~ c0_1(X118) ) )
          | ! [X117] :
              ( ndr1_0
             => ( ~ c3_1(X117)
                | ~ c1_1(X117)
                | c2_1(X117) ) ) )
        & ( hskp19
          | hskp13
          | ! [X116] :
              ( ndr1_0
             => ( ~ c1_1(X116)
                | ~ c0_1(X116)
                | c2_1(X116) ) ) )
        & ( hskp17
          | hskp15
          | ! [X115] :
              ( ndr1_0
             => ( ~ c0_1(X115)
                | c3_1(X115)
                | c2_1(X115) ) ) )
        & ( hskp18
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c2_1(X114)
                | ~ c0_1(X114) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c0_1(X113)
                | c3_1(X113)
                | c2_1(X113) ) ) )
        & ( hskp5
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c1_1(X112)
                | ~ c0_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c3_1(X111)
                | ~ c0_1(X111)
                | c1_1(X111) ) ) )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c1_1(X110)
                | ~ c0_1(X110) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | ~ c0_1(X109)
                | c3_1(X109) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | ~ c0_1(X108)
                | c1_1(X108) ) ) )
        & ( hskp18
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c2_1(X107)
                | ~ c1_1(X107) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | c3_1(X106)
                | c1_1(X106) ) ) )
        & ( hskp22
          | ! [X105] :
              ( ndr1_0
             => ( ~ c2_1(X105)
                | ~ c1_1(X105)
                | c3_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | c3_1(X104)
                | c1_1(X104) ) ) )
        & ( hskp15
          | ! [X103] :
              ( ndr1_0
             => ( ~ c1_1(X103)
                | ~ c0_1(X103)
                | c3_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | c3_1(X102)
                | c1_1(X102) ) ) )
        & ( hskp23
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c1_1(X101)
                | c2_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c2_1(X100)
                | c3_1(X100)
                | c1_1(X100) ) ) )
        & ( hskp15
          | ! [X99] :
              ( ndr1_0
             => ( ~ c0_1(X99)
                | c3_1(X99)
                | c2_1(X99) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | c3_1(X98)
                | c1_1(X98) ) ) )
        & ( hskp24
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c2_1(X97)
                | ~ c1_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | c3_1(X96)
                | c1_1(X96) ) ) )
        & ( hskp2
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c0_1(X95)
                | c3_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c0_1(X94)
                | c3_1(X94)
                | c1_1(X94) ) ) )
        & ( hskp23
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | ~ c0_1(X93)
                | c3_1(X93) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | c3_1(X92)
                | c1_1(X92) ) ) )
        & ( hskp0
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c1_1(X91)
                | ~ c0_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | c2_1(X90)
                | c1_1(X90) ) ) )
        & ( hskp29
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c3_1(X89)
                | c2_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | c2_1(X88)
                | c1_1(X88) ) ) )
        & ( hskp11
          | ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | c2_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp4
          | hskp8
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c2_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp8
          | hskp20
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c2_1(X85)
                | c0_1(X85) ) ) )
        & ( hskp22
          | hskp27
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c2_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp16
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c2_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c2_1(X82)
                | c0_1(X82) ) ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c2_1(X81)
                | c1_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c2_1(X79)
                | c0_1(X79) ) ) )
        & ( ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c2_1(X78)
                | ~ c0_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c2_1(X77)
                | c1_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c2_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp1
          | hskp28
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c1_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp17
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c2_1(X74)
                | ~ c1_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c1_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp3
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | ~ c0_1(X72)
                | c3_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c1_1(X71)
                | c0_1(X71) ) ) )
        & ( ! [X70] :
              ( ndr1_0
             => ( ~ c1_1(X70)
                | ~ c0_1(X70)
                | c2_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | ~ c0_1(X69)
                | c1_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c1_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp6
          | hskp3
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c1_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp13
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | ~ c1_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp27
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c1_1(X65)
                | ~ c0_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp21
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | ~ c0_1(X63)
                | c1_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp6
          | hskp20
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | c3_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp11
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c0_1(X60)
                | c2_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | c3_1(X59)
                | c0_1(X59) ) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c0_1(X57)
                | c1_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | c3_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp6
          | hskp19
          | ! [X55] :
              ( ndr1_0
             => ( ~ c1_1(X55)
                | c3_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp18
          | ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | ~ c0_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp17
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c2_1(X52)
                | c1_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | c3_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp16
          | hskp15
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp3
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c1_1(X49)
                | ~ c0_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | c2_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp14
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | ~ c0_1(X47)
                | c3_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | c2_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp10
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c0_1(X45)
                | c2_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | c2_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp10
          | ! [X43] :
              ( ndr1_0
             => ( ~ c0_1(X43)
                | c3_1(X43)
                | c1_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | c2_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp27
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | c2_1(X41)
                | c1_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp13
          | ! [X39] :
              ( ndr1_0
             => ( c3_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp2
          | ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp13
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c3_1(X35)
                | c0_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp12
          | hskp27
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp11
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c0_1(X32)
                | c1_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp10
          | hskp9
          | ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c2_1(X29)
                | ~ c0_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | c2_1(X28)
                | c1_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c2_1(X26)
                | ~ c1_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | c2_1(X25)
                | c1_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | c2_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp8
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c2_1(X23)
                | ~ c1_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp6
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c2_1(X21)
                | ~ c0_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c2_1(X19)
                | ~ c1_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c2_1(X18)
                | ~ c0_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | ~ c1_1(X16)
                | ~ c0_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | ~ c0_1(X15)
                | c3_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | ~ c0_1(X13)
                | c1_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | ~ c1_1(X12)
                | c0_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp7
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | c2_1(X10)
                | c0_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( hskp6
          | hskp4
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp5
          | ! [X7] :
              ( ndr1_0
             => ( ~ c0_1(X7)
                | c2_1(X7)
                | c1_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp4
          | hskp3
          | ! [X5] :
              ( ndr1_0
             => ( c3_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp2
          | hskp27
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp1
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | c3_1(X3)
                | c1_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | c2_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a1823)
            & c2_1(a1823)
            & c1_1(a1823)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a1805)
            & c2_1(a1805)
            & c0_1(a1805)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a1795)
            & c1_1(a1795)
            & c0_1(a1795)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a1756)
            & c1_1(a1756)
            & c0_1(a1756)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a1845)
            & ~ c1_1(a1845)
            & c3_1(a1845)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a1827)
            & ~ c1_1(a1827)
            & ~ c0_1(a1827)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a1809)
            & ~ c1_1(a1809)
            & c0_1(a1809)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a1807)
            & ~ c1_1(a1807)
            & ~ c0_1(a1807)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a1799)
            & ~ c0_1(a1799)
            & c3_1(a1799)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a1788)
            & c2_1(a1788)
            & c0_1(a1788)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a1786)
            & c1_1(a1786)
            & c0_1(a1786)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c0_1(a1783)
            & c3_1(a1783)
            & c1_1(a1783)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a1782)
            & ~ c2_1(a1782)
            & ~ c1_1(a1782)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a1781)
            & c3_1(a1781)
            & c2_1(a1781)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a1780)
            & c3_1(a1780)
            & c1_1(a1780)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a1779)
            & ~ c2_1(a1779)
            & c0_1(a1779)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a1777)
            & ~ c0_1(a1777)
            & c2_1(a1777)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c0_1(a1771)
            & c2_1(a1771)
            & c1_1(a1771)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a1770)
            & ~ c0_1(a1770)
            & c1_1(a1770)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a1768)
            & c3_1(a1768)
            & c0_1(a1768)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a1767)
            & ~ c0_1(a1767)
            & c3_1(a1767)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a1766)
            & ~ c1_1(a1766)
            & c0_1(a1766)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a1765)
            & c2_1(a1765)
            & c0_1(a1765)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c1_1(a1763)
            & c3_1(a1763)
            & c0_1(a1763)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c0_1(a1762)
            & c3_1(a1762)
            & c2_1(a1762)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a1760)
            & ~ c2_1(a1760)
            & ~ c0_1(a1760)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a1759)
            & ~ c2_1(a1759)
            & c1_1(a1759)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a1758)
            & c2_1(a1758)
            & c1_1(a1758)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a1757)
            & c1_1(a1757)
            & c0_1(a1757)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a1755)
            & ~ c0_1(a1755)
            & c1_1(a1755)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a1754)
            & ~ c0_1(a1754)
            & c2_1(a1754)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp22
        | hskp10
        | hskp15 )
      & ( hskp26
        | hskp0
        | hskp11 )
      & ( hskp26
        | hskp10
        | hskp20 )
      & ( hskp25
        | hskp4
        | hskp2 )
      & ( hskp14
        | hskp8
        | hskp2 )
      & ( hskp4
        | hskp1
        | hskp28 )
      & ( hskp22
        | hskp16
        | ! [X127] :
            ( ndr1_0
           => ( ~ c3_1(X127)
              | ~ c2_1(X127)
              | ~ c1_1(X127) ) ) )
      & ( hskp5
        | hskp23
        | ! [X126] :
            ( ndr1_0
           => ( ~ c3_1(X126)
              | ~ c1_1(X126)
              | ~ c0_1(X126) ) ) )
      & ( hskp4
        | hskp29
        | ! [X125] :
            ( ndr1_0
           => ( ~ c2_1(X125)
              | ~ c1_1(X125)
              | ~ c0_1(X125) ) ) )
      & ( hskp25
        | hskp3
        | ! [X124] :
            ( ndr1_0
           => ( ~ c2_1(X124)
              | ~ c1_1(X124)
              | c3_1(X124) ) ) )
      & ( hskp16
        | hskp24
        | ! [X123] :
            ( ndr1_0
           => ( ~ c2_1(X123)
              | ~ c1_1(X123)
              | c3_1(X123) ) ) )
      & ( hskp30
        | hskp29
        | ! [X122] :
            ( ndr1_0
           => ( ~ c2_1(X122)
              | ~ c1_1(X122)
              | c3_1(X122) ) ) )
      & ( ! [X121] :
            ( ndr1_0
           => ( ~ c3_1(X121)
              | ~ c2_1(X121)
              | ~ c1_1(X121) ) )
        | ! [X120] :
            ( ndr1_0
           => ( ~ c2_1(X120)
              | ~ c1_1(X120)
              | ~ c0_1(X120) ) )
        | ! [X119] :
            ( ndr1_0
           => ( ~ c1_1(X119)
              | ~ c0_1(X119)
              | c3_1(X119) ) ) )
      & ( hskp28
        | ! [X118] :
            ( ndr1_0
           => ( ~ c2_1(X118)
              | ~ c1_1(X118)
              | ~ c0_1(X118) ) )
        | ! [X117] :
            ( ndr1_0
           => ( ~ c3_1(X117)
              | ~ c1_1(X117)
              | c2_1(X117) ) ) )
      & ( hskp19
        | hskp13
        | ! [X116] :
            ( ndr1_0
           => ( ~ c1_1(X116)
              | ~ c0_1(X116)
              | c2_1(X116) ) ) )
      & ( hskp17
        | hskp15
        | ! [X115] :
            ( ndr1_0
           => ( ~ c0_1(X115)
              | c3_1(X115)
              | c2_1(X115) ) ) )
      & ( hskp18
        | ! [X114] :
            ( ndr1_0
           => ( ~ c3_1(X114)
              | ~ c2_1(X114)
              | ~ c0_1(X114) ) )
        | ! [X113] :
            ( ndr1_0
           => ( ~ c0_1(X113)
              | c3_1(X113)
              | c2_1(X113) ) ) )
      & ( hskp5
        | ! [X112] :
            ( ndr1_0
           => ( ~ c2_1(X112)
              | ~ c1_1(X112)
              | ~ c0_1(X112) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c3_1(X111)
              | ~ c0_1(X111)
              | c1_1(X111) ) ) )
      & ( ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | ~ c1_1(X110)
              | ~ c0_1(X110) ) )
        | ! [X109] :
            ( ndr1_0
           => ( ~ c1_1(X109)
              | ~ c0_1(X109)
              | c3_1(X109) ) )
        | ! [X108] :
            ( ndr1_0
           => ( ~ c2_1(X108)
              | ~ c0_1(X108)
              | c1_1(X108) ) ) )
      & ( hskp18
        | ! [X107] :
            ( ndr1_0
           => ( ~ c3_1(X107)
              | ~ c2_1(X107)
              | ~ c1_1(X107) ) )
        | ! [X106] :
            ( ndr1_0
           => ( ~ c2_1(X106)
              | c3_1(X106)
              | c1_1(X106) ) ) )
      & ( hskp22
        | ! [X105] :
            ( ndr1_0
           => ( ~ c2_1(X105)
              | ~ c1_1(X105)
              | c3_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c2_1(X104)
              | c3_1(X104)
              | c1_1(X104) ) ) )
      & ( hskp15
        | ! [X103] :
            ( ndr1_0
           => ( ~ c1_1(X103)
              | ~ c0_1(X103)
              | c3_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c2_1(X102)
              | c3_1(X102)
              | c1_1(X102) ) ) )
      & ( hskp23
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c1_1(X101)
              | c2_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c2_1(X100)
              | c3_1(X100)
              | c1_1(X100) ) ) )
      & ( hskp15
        | ! [X99] :
            ( ndr1_0
           => ( ~ c0_1(X99)
              | c3_1(X99)
              | c2_1(X99) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c2_1(X98)
              | c3_1(X98)
              | c1_1(X98) ) ) )
      & ( hskp24
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c2_1(X97)
              | ~ c1_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c0_1(X96)
              | c3_1(X96)
              | c1_1(X96) ) ) )
      & ( hskp2
        | ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c0_1(X95)
              | c3_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c0_1(X94)
              | c3_1(X94)
              | c1_1(X94) ) ) )
      & ( hskp23
        | ! [X93] :
            ( ndr1_0
           => ( ~ c1_1(X93)
              | ~ c0_1(X93)
              | c3_1(X93) ) )
        | ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | c3_1(X92)
              | c1_1(X92) ) ) )
      & ( hskp0
        | ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c1_1(X91)
              | ~ c0_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | c2_1(X90)
              | c1_1(X90) ) ) )
      & ( hskp29
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | c3_1(X89)
              | c2_1(X89) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | c2_1(X88)
              | c1_1(X88) ) ) )
      & ( hskp11
        | ! [X87] :
            ( ndr1_0
           => ( c3_1(X87)
              | c2_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp4
        | hskp8
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c2_1(X86)
              | c0_1(X86) ) ) )
      & ( hskp8
        | hskp20
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c2_1(X85)
              | c0_1(X85) ) ) )
      & ( hskp22
        | hskp27
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c2_1(X84)
              | c0_1(X84) ) ) )
      & ( hskp16
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c2_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c2_1(X82)
              | c0_1(X82) ) ) )
      & ( ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c2_1(X81)
              | c1_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | c2_1(X80)
              | c1_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c2_1(X79)
              | c0_1(X79) ) ) )
      & ( ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | ~ c2_1(X78)
              | ~ c0_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | c2_1(X77)
              | c1_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c2_1(X76)
              | c0_1(X76) ) ) )
      & ( hskp1
        | hskp28
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c1_1(X75)
              | c0_1(X75) ) ) )
      & ( hskp17
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c2_1(X74)
              | ~ c1_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c1_1(X73)
              | c0_1(X73) ) ) )
      & ( hskp3
        | ! [X72] :
            ( ndr1_0
           => ( ~ c1_1(X72)
              | ~ c0_1(X72)
              | c3_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c1_1(X71)
              | c0_1(X71) ) ) )
      & ( ! [X70] :
            ( ndr1_0
           => ( ~ c1_1(X70)
              | ~ c0_1(X70)
              | c2_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c2_1(X69)
              | ~ c0_1(X69)
              | c1_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c1_1(X68)
              | c0_1(X68) ) ) )
      & ( hskp6
        | hskp3
        | ! [X67] :
            ( ndr1_0
           => ( ~ c2_1(X67)
              | ~ c1_1(X67)
              | c0_1(X67) ) ) )
      & ( hskp13
        | ! [X66] :
            ( ndr1_0
           => ( ~ c2_1(X66)
              | ~ c1_1(X66)
              | c0_1(X66) ) ) )
      & ( hskp27
        | ! [X65] :
            ( ndr1_0
           => ( ~ c2_1(X65)
              | ~ c1_1(X65)
              | ~ c0_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c2_1(X64)
              | ~ c1_1(X64)
              | c0_1(X64) ) ) )
      & ( hskp21
        | ! [X63] :
            ( ndr1_0
           => ( ~ c2_1(X63)
              | ~ c0_1(X63)
              | c1_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | ~ c1_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp6
        | hskp20
        | ! [X61] :
            ( ndr1_0
           => ( ~ c2_1(X61)
              | c3_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp11
        | ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | ~ c0_1(X60)
              | c2_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c2_1(X59)
              | c3_1(X59)
              | c0_1(X59) ) ) )
      & ( ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c2_1(X58)
              | c1_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c0_1(X57)
              | c1_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | c3_1(X56)
              | c0_1(X56) ) ) )
      & ( hskp6
        | hskp19
        | ! [X55] :
            ( ndr1_0
           => ( ~ c1_1(X55)
              | c3_1(X55)
              | c0_1(X55) ) ) )
      & ( hskp18
        | ! [X54] :
            ( ndr1_0
           => ( ~ c1_1(X54)
              | ~ c0_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c1_1(X53)
              | c3_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp17
        | ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | ~ c2_1(X52)
              | c1_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c1_1(X51)
              | c3_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp16
        | hskp15
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | c2_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp3
        | ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | ~ c1_1(X49)
              | ~ c0_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | c2_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp14
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | ~ c0_1(X47)
              | c3_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | c2_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp10
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c0_1(X45)
              | c2_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | c2_1(X44)
              | c0_1(X44) ) ) )
      & ( hskp10
        | ! [X43] :
            ( ndr1_0
           => ( ~ c0_1(X43)
              | c3_1(X43)
              | c1_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | c2_1(X42)
              | c0_1(X42) ) ) )
      & ( hskp27
        | ! [X41] :
            ( ndr1_0
           => ( ~ c0_1(X41)
              | c2_1(X41)
              | c1_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | c2_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp13
        | ! [X39] :
            ( ndr1_0
           => ( c3_1(X39)
              | c2_1(X39)
              | c1_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp2
        | ! [X37] :
            ( ndr1_0
           => ( c3_1(X37)
              | c2_1(X37)
              | c1_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp13
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | c3_1(X35)
              | c0_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp12
        | hskp27
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp11
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | ~ c0_1(X32)
              | c1_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp10
        | hskp9
        | ! [X30] :
            ( ndr1_0
           => ( c3_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | ~ c2_1(X29)
              | ~ c0_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c0_1(X28)
              | c2_1(X28)
              | c1_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) ) )
      & ( ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | ~ c2_1(X26)
              | ~ c1_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | c2_1(X25)
              | c1_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c3_1(X24)
              | c2_1(X24)
              | c0_1(X24) ) ) )
      & ( hskp8
        | ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | ~ c2_1(X23)
              | ~ c1_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp6
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | ~ c2_1(X21)
              | ~ c0_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | ~ c2_1(X19)
              | ~ c1_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | ~ c2_1(X18)
              | ~ c0_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | ~ c1_1(X16)
              | ~ c0_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c1_1(X15)
              | ~ c0_1(X15)
              | c3_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c3_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | ~ c0_1(X13)
              | c1_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | ~ c1_1(X12)
              | c0_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c3_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp7
        | ! [X10] :
            ( ndr1_0
           => ( ~ c1_1(X10)
              | c2_1(X10)
              | c0_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c3_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( hskp6
        | hskp4
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp5
        | ! [X7] :
            ( ndr1_0
           => ( ~ c0_1(X7)
              | c2_1(X7)
              | c1_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( ~ c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp4
        | hskp3
        | ! [X5] :
            ( ndr1_0
           => ( c3_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp2
        | hskp27
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp1
        | ! [X3] :
            ( ndr1_0
           => ( ~ c2_1(X3)
              | c3_1(X3)
              | c1_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c3_1(X1)
              | c2_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a1823)
          & c2_1(a1823)
          & c1_1(a1823)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a1805)
          & c2_1(a1805)
          & c0_1(a1805)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c2_1(a1795)
          & c1_1(a1795)
          & c0_1(a1795)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a1756)
          & c1_1(a1756)
          & c0_1(a1756)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c2_1(a1845)
          & ~ c1_1(a1845)
          & c3_1(a1845)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c2_1(a1827)
          & ~ c1_1(a1827)
          & ~ c0_1(a1827)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a1809)
          & ~ c1_1(a1809)
          & c0_1(a1809)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a1807)
          & ~ c1_1(a1807)
          & ~ c0_1(a1807)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c2_1(a1799)
          & ~ c0_1(a1799)
          & c3_1(a1799)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a1788)
          & c2_1(a1788)
          & c0_1(a1788)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a1786)
          & c1_1(a1786)
          & c0_1(a1786)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c0_1(a1783)
          & c3_1(a1783)
          & c1_1(a1783)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a1782)
          & ~ c2_1(a1782)
          & ~ c1_1(a1782)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c1_1(a1781)
          & c3_1(a1781)
          & c2_1(a1781)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c2_1(a1780)
          & c3_1(a1780)
          & c1_1(a1780)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a1779)
          & ~ c2_1(a1779)
          & c0_1(a1779)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c3_1(a1777)
          & ~ c0_1(a1777)
          & c2_1(a1777)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c0_1(a1771)
          & c2_1(a1771)
          & c1_1(a1771)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a1770)
          & ~ c0_1(a1770)
          & c1_1(a1770)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c2_1(a1768)
          & c3_1(a1768)
          & c0_1(a1768)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c1_1(a1767)
          & ~ c0_1(a1767)
          & c3_1(a1767)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c2_1(a1766)
          & ~ c1_1(a1766)
          & c0_1(a1766)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c1_1(a1765)
          & c2_1(a1765)
          & c0_1(a1765)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c1_1(a1763)
          & c3_1(a1763)
          & c0_1(a1763)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c0_1(a1762)
          & c3_1(a1762)
          & c2_1(a1762)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a1760)
          & ~ c2_1(a1760)
          & ~ c0_1(a1760)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a1759)
          & ~ c2_1(a1759)
          & c1_1(a1759)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a1758)
          & c2_1(a1758)
          & c1_1(a1758)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c2_1(a1757)
          & c1_1(a1757)
          & c0_1(a1757)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a1755)
          & ~ c0_1(a1755)
          & c1_1(a1755)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c1_1(a1754)
          & ~ c0_1(a1754)
          & c2_1(a1754)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f1040,plain,
    ( ~ spl0_5
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f9,f1037,f272]) ).

fof(f9,plain,
    ( ~ c0_1(a1754)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1029,plain,
    ( ~ spl0_14
    | spl0_153 ),
    inference(avatar_split_clause,[],[f12,f1026,f312]) ).

fof(f312,plain,
    ( spl0_14
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f12,plain,
    ( c1_1(a1755)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1024,plain,
    ( ~ spl0_14
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f13,f1021,f312]) ).

fof(f13,plain,
    ( ~ c0_1(a1755)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1019,plain,
    ( ~ spl0_14
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f14,f1016,f312]) ).

fof(f14,plain,
    ( ~ c2_1(a1755)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1014,plain,
    ( ~ spl0_8
    | spl0_15 ),
    inference(avatar_split_clause,[],[f15,f317,f286]) ).

fof(f286,plain,
    ( spl0_8
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f317,plain,
    ( spl0_15
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

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

fof(f1013,plain,
    ( ~ spl0_8
    | spl0_150 ),
    inference(avatar_split_clause,[],[f16,f1010,f286]) ).

fof(f16,plain,
    ( c0_1(a1757)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1008,plain,
    ( ~ spl0_8
    | spl0_149 ),
    inference(avatar_split_clause,[],[f17,f1005,f286]) ).

fof(f17,plain,
    ( c1_1(a1757)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1003,plain,
    ( ~ spl0_8
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f18,f1000,f286]) ).

fof(f18,plain,
    ( ~ c2_1(a1757)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f997,plain,
    ( ~ spl0_24
    | spl0_147 ),
    inference(avatar_split_clause,[],[f20,f994,f352]) ).

fof(f352,plain,
    ( spl0_24
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f20,plain,
    ( c1_1(a1758)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f992,plain,
    ( ~ spl0_24
    | spl0_146 ),
    inference(avatar_split_clause,[],[f21,f989,f352]) ).

fof(f21,plain,
    ( c2_1(a1758)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f987,plain,
    ( ~ spl0_24
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f22,f984,f352]) ).

fof(f22,plain,
    ( ~ c3_1(a1758)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f981,plain,
    ( ~ spl0_9
    | spl0_144 ),
    inference(avatar_split_clause,[],[f24,f978,f290]) ).

fof(f290,plain,
    ( spl0_9
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f24,plain,
    ( c1_1(a1759)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f976,plain,
    ( ~ spl0_9
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f25,f973,f290]) ).

fof(f25,plain,
    ( ~ c2_1(a1759)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f971,plain,
    ( ~ spl0_9
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f26,f968,f290]) ).

fof(f26,plain,
    ( ~ c3_1(a1759)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f949,plain,
    ( ~ spl0_49
    | spl0_138 ),
    inference(avatar_split_clause,[],[f32,f946,f466]) ).

fof(f466,plain,
    ( spl0_49
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f32,plain,
    ( c2_1(a1762)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f944,plain,
    ( ~ spl0_49
    | spl0_137 ),
    inference(avatar_split_clause,[],[f33,f941,f466]) ).

fof(f33,plain,
    ( c3_1(a1762)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f939,plain,
    ( ~ spl0_49
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f34,f936,f466]) ).

fof(f34,plain,
    ( ~ c0_1(a1762)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f918,plain,
    ( ~ spl0_11
    | spl0_15 ),
    inference(avatar_split_clause,[],[f39,f317,f299]) ).

fof(f299,plain,
    ( spl0_11
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f39,plain,
    ( ndr1_0
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f917,plain,
    ( ~ spl0_11
    | spl0_132 ),
    inference(avatar_split_clause,[],[f40,f914,f299]) ).

fof(f40,plain,
    ( c0_1(a1765)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f912,plain,
    ( ~ spl0_11
    | spl0_131 ),
    inference(avatar_split_clause,[],[f41,f909,f299]) ).

fof(f41,plain,
    ( c2_1(a1765)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f907,plain,
    ( ~ spl0_11
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f42,f904,f299]) ).

fof(f42,plain,
    ( ~ c1_1(a1765)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f885,plain,
    ( ~ spl0_2
    | spl0_126 ),
    inference(avatar_split_clause,[],[f48,f882,f259]) ).

fof(f259,plain,
    ( spl0_2
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f48,plain,
    ( c3_1(a1767)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f875,plain,
    ( ~ spl0_2
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f50,f872,f259]) ).

fof(f50,plain,
    ( ~ c1_1(a1767)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f869,plain,
    ( ~ spl0_4
    | spl0_123 ),
    inference(avatar_split_clause,[],[f52,f866,f268]) ).

fof(f268,plain,
    ( spl0_4
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f52,plain,
    ( c0_1(a1768)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f859,plain,
    ( ~ spl0_4
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f54,f856,f268]) ).

fof(f54,plain,
    ( ~ c2_1(a1768)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f853,plain,
    ( ~ spl0_56
    | spl0_120 ),
    inference(avatar_split_clause,[],[f56,f850,f508]) ).

fof(f508,plain,
    ( spl0_56
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f56,plain,
    ( c1_1(a1770)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f848,plain,
    ( ~ spl0_56
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f57,f845,f508]) ).

fof(f57,plain,
    ( ~ c0_1(a1770)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f843,plain,
    ( ~ spl0_56
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f58,f840,f508]) ).

fof(f58,plain,
    ( ~ c3_1(a1770)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f837,plain,
    ( ~ spl0_30
    | spl0_117 ),
    inference(avatar_split_clause,[],[f60,f834,f378]) ).

fof(f378,plain,
    ( spl0_30
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f60,plain,
    ( c1_1(a1771)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f832,plain,
    ( ~ spl0_30
    | spl0_116 ),
    inference(avatar_split_clause,[],[f61,f829,f378]) ).

fof(f61,plain,
    ( c2_1(a1771)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f827,plain,
    ( ~ spl0_30
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f62,f824,f378]) ).

fof(f62,plain,
    ( ~ c0_1(a1771)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f822,plain,
    ( ~ spl0_12
    | spl0_15 ),
    inference(avatar_split_clause,[],[f63,f317,f303]) ).

fof(f303,plain,
    ( spl0_12
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f63,plain,
    ( ndr1_0
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f821,plain,
    ( ~ spl0_12
    | spl0_114 ),
    inference(avatar_split_clause,[],[f64,f818,f303]) ).

fof(f64,plain,
    ( c2_1(a1777)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f816,plain,
    ( ~ spl0_12
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f65,f813,f303]) ).

fof(f65,plain,
    ( ~ c0_1(a1777)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f811,plain,
    ( ~ spl0_12
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f66,f808,f303]) ).

fof(f66,plain,
    ( ~ c3_1(a1777)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f805,plain,
    ( ~ spl0_1
    | spl0_111 ),
    inference(avatar_split_clause,[],[f68,f802,f255]) ).

fof(f255,plain,
    ( spl0_1
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f68,plain,
    ( c0_1(a1779)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f800,plain,
    ( ~ spl0_1
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f69,f797,f255]) ).

fof(f69,plain,
    ( ~ c2_1(a1779)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f795,plain,
    ( ~ spl0_1
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f70,f792,f255]) ).

fof(f70,plain,
    ( ~ c3_1(a1779)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f789,plain,
    ( ~ spl0_17
    | spl0_108 ),
    inference(avatar_split_clause,[],[f72,f786,f324]) ).

fof(f324,plain,
    ( spl0_17
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f72,plain,
    ( c1_1(a1780)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f784,plain,
    ( ~ spl0_17
    | spl0_107 ),
    inference(avatar_split_clause,[],[f73,f781,f324]) ).

fof(f73,plain,
    ( c3_1(a1780)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f779,plain,
    ( ~ spl0_17
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f74,f776,f324]) ).

fof(f74,plain,
    ( ~ c2_1(a1780)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f773,plain,
    ( ~ spl0_33
    | spl0_105 ),
    inference(avatar_split_clause,[],[f76,f770,f390]) ).

fof(f390,plain,
    ( spl0_33
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f76,plain,
    ( c2_1(a1781)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f768,plain,
    ( ~ spl0_33
    | spl0_104 ),
    inference(avatar_split_clause,[],[f77,f765,f390]) ).

fof(f77,plain,
    ( c3_1(a1781)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f763,plain,
    ( ~ spl0_33
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f78,f760,f390]) ).

fof(f78,plain,
    ( ~ c1_1(a1781)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f757,plain,
    ( ~ spl0_35
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f80,f754,f398]) ).

fof(f398,plain,
    ( spl0_35
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f80,plain,
    ( ~ c1_1(a1782)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f752,plain,
    ( ~ spl0_35
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f81,f749,f398]) ).

fof(f81,plain,
    ( ~ c2_1(a1782)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f747,plain,
    ( ~ spl0_35
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f82,f744,f398]) ).

fof(f82,plain,
    ( ~ c3_1(a1782)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f741,plain,
    ( ~ spl0_31
    | spl0_99 ),
    inference(avatar_split_clause,[],[f84,f738,f382]) ).

fof(f382,plain,
    ( spl0_31
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f84,plain,
    ( c1_1(a1783)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f736,plain,
    ( ~ spl0_31
    | spl0_98 ),
    inference(avatar_split_clause,[],[f85,f733,f382]) ).

fof(f85,plain,
    ( c3_1(a1783)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f731,plain,
    ( ~ spl0_31
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f86,f728,f382]) ).

fof(f86,plain,
    ( ~ c0_1(a1783)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f725,plain,
    ( ~ spl0_7
    | spl0_96 ),
    inference(avatar_split_clause,[],[f88,f722,f281]) ).

fof(f281,plain,
    ( spl0_7
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f88,plain,
    ( c0_1(a1786)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f720,plain,
    ( ~ spl0_7
    | spl0_95 ),
    inference(avatar_split_clause,[],[f89,f717,f281]) ).

fof(f89,plain,
    ( c1_1(a1786)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f715,plain,
    ( ~ spl0_7
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f90,f712,f281]) ).

fof(f90,plain,
    ( ~ c3_1(a1786)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f709,plain,
    ( ~ spl0_50
    | spl0_93 ),
    inference(avatar_split_clause,[],[f92,f706,f473]) ).

fof(f473,plain,
    ( spl0_50
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f92,plain,
    ( c0_1(a1788)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f704,plain,
    ( ~ spl0_50
    | spl0_92 ),
    inference(avatar_split_clause,[],[f93,f701,f473]) ).

fof(f93,plain,
    ( c2_1(a1788)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f699,plain,
    ( ~ spl0_50
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f94,f696,f473]) ).

fof(f94,plain,
    ( ~ c3_1(a1788)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f693,plain,
    ( ~ spl0_3
    | spl0_90 ),
    inference(avatar_split_clause,[],[f96,f690,f263]) ).

fof(f263,plain,
    ( spl0_3
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f96,plain,
    ( c3_1(a1799)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f688,plain,
    ( ~ spl0_3
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f97,f685,f263]) ).

fof(f97,plain,
    ( ~ c0_1(a1799)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f683,plain,
    ( ~ spl0_3
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f98,f680,f263]) ).

fof(f98,plain,
    ( ~ c2_1(a1799)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f677,plain,
    ( ~ spl0_19
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f100,f674,f332]) ).

fof(f332,plain,
    ( spl0_19
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f100,plain,
    ( ~ c0_1(a1807)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f672,plain,
    ( ~ spl0_19
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f101,f669,f332]) ).

fof(f101,plain,
    ( ~ c1_1(a1807)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f667,plain,
    ( ~ spl0_19
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f102,f664,f332]) ).

fof(f102,plain,
    ( ~ c3_1(a1807)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f661,plain,
    ( ~ spl0_25
    | spl0_84 ),
    inference(avatar_split_clause,[],[f104,f658,f357]) ).

fof(f357,plain,
    ( spl0_25
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f104,plain,
    ( c0_1(a1809)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f656,plain,
    ( ~ spl0_25
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f105,f653,f357]) ).

fof(f105,plain,
    ( ~ c1_1(a1809)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f651,plain,
    ( ~ spl0_25
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f106,f648,f357]) ).

fof(f106,plain,
    ( ~ c3_1(a1809)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f613,plain,
    ( ~ spl0_44
    | spl0_75 ),
    inference(avatar_split_clause,[],[f116,f610,f442]) ).

fof(f442,plain,
    ( spl0_44
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f116,plain,
    ( c0_1(a1756)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f608,plain,
    ( ~ spl0_44
    | spl0_74 ),
    inference(avatar_split_clause,[],[f117,f605,f442]) ).

fof(f117,plain,
    ( c1_1(a1756)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f603,plain,
    ( ~ spl0_44
    | spl0_73 ),
    inference(avatar_split_clause,[],[f118,f600,f442]) ).

fof(f118,plain,
    ( c3_1(a1756)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f597,plain,
    ( ~ spl0_13
    | spl0_72 ),
    inference(avatar_split_clause,[],[f120,f594,f308]) ).

fof(f308,plain,
    ( spl0_13
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f120,plain,
    ( c0_1(a1795)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f592,plain,
    ( ~ spl0_13
    | spl0_71 ),
    inference(avatar_split_clause,[],[f121,f589,f308]) ).

fof(f121,plain,
    ( c1_1(a1795)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f587,plain,
    ( ~ spl0_13
    | spl0_70 ),
    inference(avatar_split_clause,[],[f122,f584,f308]) ).

fof(f122,plain,
    ( c2_1(a1795)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f581,plain,
    ( ~ spl0_22
    | spl0_69 ),
    inference(avatar_split_clause,[],[f124,f578,f344]) ).

fof(f344,plain,
    ( spl0_22
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f124,plain,
    ( c0_1(a1805)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f576,plain,
    ( ~ spl0_22
    | spl0_68 ),
    inference(avatar_split_clause,[],[f125,f573,f344]) ).

fof(f125,plain,
    ( c2_1(a1805)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f571,plain,
    ( ~ spl0_22
    | spl0_67 ),
    inference(avatar_split_clause,[],[f126,f568,f344]) ).

fof(f126,plain,
    ( c3_1(a1805)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f565,plain,
    ( ~ spl0_26
    | spl0_66 ),
    inference(avatar_split_clause,[],[f128,f562,f362]) ).

fof(f362,plain,
    ( spl0_26
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f128,plain,
    ( c1_1(a1823)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f560,plain,
    ( ~ spl0_26
    | spl0_65 ),
    inference(avatar_split_clause,[],[f129,f557,f362]) ).

fof(f129,plain,
    ( c2_1(a1823)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f555,plain,
    ( ~ spl0_26
    | spl0_64 ),
    inference(avatar_split_clause,[],[f130,f552,f362]) ).

fof(f130,plain,
    ( c3_1(a1823)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f550,plain,
    ( spl0_63
    | ~ spl0_15
    | spl0_54
    | spl0_5 ),
    inference(avatar_split_clause,[],[f207,f272,f493,f317,f547]) ).

fof(f207,plain,
    ! [X126,X127] :
      ( hskp0
      | ~ c3_1(X126)
      | c2_1(X126)
      | c0_1(X126)
      | ~ ndr1_0
      | c2_1(X127)
      | c1_1(X127)
      | c0_1(X127) ),
    inference(duplicate_literal_removal,[],[f131]) ).

fof(f131,plain,
    ! [X126,X127] :
      ( hskp0
      | ~ c3_1(X126)
      | c2_1(X126)
      | c0_1(X126)
      | ~ ndr1_0
      | c2_1(X127)
      | c1_1(X127)
      | c0_1(X127)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f530,plain,
    ( spl0_59
    | spl0_48
    | ~ spl0_15
    | spl0_37 ),
    inference(avatar_split_clause,[],[f211,f407,f317,f463,f524]) ).

fof(f211,plain,
    ! [X116,X114,X115] :
      ( ~ c2_1(X114)
      | ~ c0_1(X114)
      | c1_1(X114)
      | ~ ndr1_0
      | ~ c2_1(X115)
      | ~ c1_1(X115)
      | c0_1(X115)
      | ~ c3_1(X116)
      | c1_1(X116)
      | c0_1(X116) ),
    inference(duplicate_literal_removal,[],[f138]) ).

fof(f138,plain,
    ! [X116,X114,X115] :
      ( ~ c2_1(X114)
      | ~ c0_1(X114)
      | c1_1(X114)
      | ~ ndr1_0
      | ~ c2_1(X115)
      | ~ c1_1(X115)
      | c0_1(X115)
      | ~ ndr1_0
      | ~ c3_1(X116)
      | c1_1(X116)
      | c0_1(X116)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f529,plain,
    ( spl0_59
    | spl0_27
    | ~ spl0_15
    | spl0_21 ),
    inference(avatar_split_clause,[],[f212,f341,f317,f367,f524]) ).

fof(f212,plain,
    ! [X113,X111,X112] :
      ( ~ c2_1(X111)
      | ~ c1_1(X111)
      | ~ c0_1(X111)
      | ~ ndr1_0
      | ~ c1_1(X112)
      | ~ c0_1(X112)
      | c3_1(X112)
      | ~ c3_1(X113)
      | c1_1(X113)
      | c0_1(X113) ),
    inference(duplicate_literal_removal,[],[f139]) ).

fof(f139,plain,
    ! [X113,X111,X112] :
      ( ~ c2_1(X111)
      | ~ c1_1(X111)
      | ~ c0_1(X111)
      | ~ ndr1_0
      | ~ c1_1(X112)
      | ~ c0_1(X112)
      | c3_1(X112)
      | ~ ndr1_0
      | ~ c3_1(X113)
      | c1_1(X113)
      | c0_1(X113)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f527,plain,
    ( spl0_59
    | ~ spl0_15
    | spl0_34
    | spl0_49 ),
    inference(avatar_split_clause,[],[f214,f466,f395,f317,f524]) ).

fof(f214,plain,
    ! [X106,X107] :
      ( hskp6
      | ~ c3_1(X106)
      | ~ c2_1(X106)
      | ~ c0_1(X106)
      | ~ ndr1_0
      | ~ c3_1(X107)
      | c1_1(X107)
      | c0_1(X107) ),
    inference(duplicate_literal_removal,[],[f141]) ).

fof(f141,plain,
    ! [X106,X107] :
      ( hskp6
      | ~ c3_1(X106)
      | ~ c2_1(X106)
      | ~ c0_1(X106)
      | ~ ndr1_0
      | ~ c3_1(X107)
      | c1_1(X107)
      | c0_1(X107)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f526,plain,
    ( spl0_59
    | ~ spl0_15
    | spl0_16
    | spl0_11 ),
    inference(avatar_split_clause,[],[f215,f299,f321,f317,f524]) ).

fof(f215,plain,
    ! [X104,X105] :
      ( hskp8
      | ~ c3_1(X104)
      | ~ c2_1(X104)
      | ~ c1_1(X104)
      | ~ ndr1_0
      | ~ c3_1(X105)
      | c1_1(X105)
      | c0_1(X105) ),
    inference(duplicate_literal_removal,[],[f142]) ).

fof(f142,plain,
    ! [X104,X105] :
      ( hskp8
      | ~ c3_1(X104)
      | ~ c2_1(X104)
      | ~ c1_1(X104)
      | ~ ndr1_0
      | ~ c3_1(X105)
      | c1_1(X105)
      | c0_1(X105)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f522,plain,
    ( spl0_57
    | spl0_42
    | ~ spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f216,f321,f317,f433,f514]) ).

fof(f216,plain,
    ! [X101,X102,X103] :
      ( ~ c3_1(X101)
      | ~ c2_1(X101)
      | ~ c1_1(X101)
      | ~ ndr1_0
      | c3_1(X102)
      | c2_1(X102)
      | c1_1(X102)
      | c3_1(X103)
      | c2_1(X103)
      | c0_1(X103) ),
    inference(duplicate_literal_removal,[],[f143]) ).

fof(f143,plain,
    ! [X101,X102,X103] :
      ( ~ c3_1(X101)
      | ~ c2_1(X101)
      | ~ c1_1(X101)
      | ~ ndr1_0
      | c3_1(X102)
      | c2_1(X102)
      | c1_1(X102)
      | ~ ndr1_0
      | c3_1(X103)
      | c2_1(X103)
      | c0_1(X103)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f521,plain,
    ( spl0_57
    | spl0_46
    | ~ spl0_15
    | spl0_34 ),
    inference(avatar_split_clause,[],[f217,f395,f317,f452,f514]) ).

fof(f217,plain,
    ! [X98,X99,X100] :
      ( ~ c3_1(X98)
      | ~ c2_1(X98)
      | ~ c0_1(X98)
      | ~ ndr1_0
      | ~ c0_1(X99)
      | c2_1(X99)
      | c1_1(X99)
      | c3_1(X100)
      | c2_1(X100)
      | c0_1(X100) ),
    inference(duplicate_literal_removal,[],[f144]) ).

fof(f144,plain,
    ! [X98,X99,X100] :
      ( ~ c3_1(X98)
      | ~ c2_1(X98)
      | ~ c0_1(X98)
      | ~ ndr1_0
      | ~ c0_1(X99)
      | c2_1(X99)
      | c1_1(X99)
      | ~ ndr1_0
      | c3_1(X100)
      | c2_1(X100)
      | c0_1(X100)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f512,plain,
    ( spl0_55
    | ~ spl0_15
    | spl0_36
    | spl0_4 ),
    inference(avatar_split_clause,[],[f218,f268,f403,f317,f505]) ).

fof(f218,plain,
    ! [X96,X95] :
      ( hskp11
      | ~ c3_1(X95)
      | ~ c0_1(X95)
      | c1_1(X95)
      | ~ ndr1_0
      | ~ c1_1(X96)
      | c2_1(X96)
      | c0_1(X96) ),
    inference(duplicate_literal_removal,[],[f146]) ).

fof(f146,plain,
    ! [X96,X95] :
      ( hskp11
      | ~ c3_1(X95)
      | ~ c0_1(X95)
      | c1_1(X95)
      | ~ ndr1_0
      | ~ c1_1(X96)
      | c2_1(X96)
      | c0_1(X96)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f511,plain,
    ( ~ spl0_15
    | spl0_55
    | spl0_44
    | spl0_56 ),
    inference(avatar_split_clause,[],[f147,f508,f442,f505,f317]) ).

fof(f147,plain,
    ! [X94] :
      ( hskp12
      | hskp27
      | ~ c1_1(X94)
      | c2_1(X94)
      | c0_1(X94)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f503,plain,
    ( spl0_54
    | ~ spl0_15
    | spl0_53
    | spl0_30 ),
    inference(avatar_split_clause,[],[f219,f378,f487,f317,f493]) ).

fof(f219,plain,
    ! [X92,X93] :
      ( hskp13
      | ~ c1_1(X92)
      | c3_1(X92)
      | c0_1(X92)
      | ~ ndr1_0
      | ~ c3_1(X93)
      | c2_1(X93)
      | c0_1(X93) ),
    inference(duplicate_literal_removal,[],[f148]) ).

fof(f148,plain,
    ! [X92,X93] :
      ( hskp13
      | ~ c1_1(X92)
      | c3_1(X92)
      | c0_1(X92)
      | ~ ndr1_0
      | ~ c3_1(X93)
      | c2_1(X93)
      | c0_1(X93)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f501,plain,
    ( spl0_54
    | ~ spl0_15
    | spl0_42
    | spl0_30 ),
    inference(avatar_split_clause,[],[f221,f378,f433,f317,f493]) ).

fof(f221,plain,
    ! [X88,X89] :
      ( hskp13
      | c3_1(X88)
      | c2_1(X88)
      | c1_1(X88)
      | ~ ndr1_0
      | ~ c3_1(X89)
      | c2_1(X89)
      | c0_1(X89) ),
    inference(duplicate_literal_removal,[],[f150]) ).

fof(f150,plain,
    ! [X88,X89] :
      ( hskp13
      | c3_1(X88)
      | c2_1(X88)
      | c1_1(X88)
      | ~ ndr1_0
      | ~ c3_1(X89)
      | c2_1(X89)
      | c0_1(X89)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f500,plain,
    ( spl0_54
    | ~ spl0_15
    | spl0_46
    | spl0_44 ),
    inference(avatar_split_clause,[],[f222,f442,f452,f317,f493]) ).

fof(f222,plain,
    ! [X86,X87] :
      ( hskp27
      | ~ c0_1(X86)
      | c2_1(X86)
      | c1_1(X86)
      | ~ ndr1_0
      | ~ c3_1(X87)
      | c2_1(X87)
      | c0_1(X87) ),
    inference(duplicate_literal_removal,[],[f151]) ).

fof(f151,plain,
    ! [X86,X87] :
      ( hskp27
      | ~ c0_1(X86)
      | c2_1(X86)
      | c1_1(X86)
      | ~ ndr1_0
      | ~ c3_1(X87)
      | c2_1(X87)
      | c0_1(X87)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f498,plain,
    ( spl0_54
    | ~ spl0_15
    | spl0_52
    | spl0_2 ),
    inference(avatar_split_clause,[],[f224,f259,f482,f317,f493]) ).

fof(f224,plain,
    ! [X82,X83] :
      ( hskp10
      | ~ c3_1(X82)
      | ~ c0_1(X82)
      | c2_1(X82)
      | ~ ndr1_0
      | ~ c3_1(X83)
      | c2_1(X83)
      | c0_1(X83) ),
    inference(duplicate_literal_removal,[],[f153]) ).

fof(f153,plain,
    ! [X82,X83] :
      ( hskp10
      | ~ c3_1(X82)
      | ~ c0_1(X82)
      | c2_1(X82)
      | ~ ndr1_0
      | ~ c3_1(X83)
      | c2_1(X83)
      | c0_1(X83)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f496,plain,
    ( spl0_54
    | ~ spl0_15
    | spl0_18
    | spl0_24 ),
    inference(avatar_split_clause,[],[f226,f352,f329,f317,f493]) ).

fof(f226,plain,
    ! [X78,X79] :
      ( hskp3
      | ~ c3_1(X78)
      | ~ c1_1(X78)
      | ~ c0_1(X78)
      | ~ ndr1_0
      | ~ c3_1(X79)
      | c2_1(X79)
      | c0_1(X79) ),
    inference(duplicate_literal_removal,[],[f155]) ).

fof(f155,plain,
    ! [X78,X79] :
      ( hskp3
      | ~ c3_1(X78)
      | ~ c1_1(X78)
      | ~ c0_1(X78)
      | ~ ndr1_0
      | ~ c3_1(X79)
      | c2_1(X79)
      | c0_1(X79)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f495,plain,
    ( ~ spl0_15
    | spl0_54
    | spl0_1
    | spl0_17 ),
    inference(avatar_split_clause,[],[f156,f324,f255,f493,f317]) ).

fof(f156,plain,
    ! [X77] :
      ( hskp16
      | hskp15
      | ~ c3_1(X77)
      | c2_1(X77)
      | c0_1(X77)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f490,plain,
    ( spl0_53
    | ~ spl0_15
    | spl0_29
    | spl0_35 ),
    inference(avatar_split_clause,[],[f228,f398,f375,f317,f487]) ).

fof(f228,plain,
    ! [X73,X74] :
      ( hskp18
      | ~ c1_1(X73)
      | ~ c0_1(X73)
      | c2_1(X73)
      | ~ ndr1_0
      | ~ c1_1(X74)
      | c3_1(X74)
      | c0_1(X74) ),
    inference(duplicate_literal_removal,[],[f158]) ).

fof(f158,plain,
    ! [X73,X74] :
      ( hskp18
      | ~ c1_1(X73)
      | ~ c0_1(X73)
      | c2_1(X73)
      | ~ ndr1_0
      | ~ c1_1(X74)
      | c3_1(X74)
      | c0_1(X74)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f489,plain,
    ( ~ spl0_15
    | spl0_53
    | spl0_31
    | spl0_49 ),
    inference(avatar_split_clause,[],[f159,f466,f382,f487,f317]) ).

fof(f159,plain,
    ! [X72] :
      ( hskp6
      | hskp19
      | ~ c1_1(X72)
      | c3_1(X72)
      | c0_1(X72)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f485,plain,
    ( spl0_51
    | spl0_36
    | ~ spl0_15
    | spl0_45 ),
    inference(avatar_split_clause,[],[f229,f448,f317,f403,f478]) ).

fof(f229,plain,
    ! [X70,X71,X69] :
      ( ~ c3_1(X69)
      | ~ c2_1(X69)
      | c1_1(X69)
      | ~ ndr1_0
      | ~ c3_1(X70)
      | ~ c0_1(X70)
      | c1_1(X70)
      | ~ c2_1(X71)
      | c3_1(X71)
      | c0_1(X71) ),
    inference(duplicate_literal_removal,[],[f160]) ).

fof(f160,plain,
    ! [X70,X71,X69] :
      ( ~ c3_1(X69)
      | ~ c2_1(X69)
      | c1_1(X69)
      | ~ ndr1_0
      | ~ c3_1(X70)
      | ~ c0_1(X70)
      | c1_1(X70)
      | ~ ndr1_0
      | ~ c2_1(X71)
      | c3_1(X71)
      | c0_1(X71)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f480,plain,
    ( ~ spl0_15
    | spl0_51
    | spl0_7
    | spl0_49 ),
    inference(avatar_split_clause,[],[f162,f466,f281,f478,f317]) ).

fof(f162,plain,
    ! [X66] :
      ( hskp6
      | hskp20
      | ~ c2_1(X66)
      | c3_1(X66)
      | c0_1(X66)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f476,plain,
    ( spl0_48
    | ~ spl0_15
    | spl0_37
    | spl0_50 ),
    inference(avatar_split_clause,[],[f231,f473,f407,f317,f463]) ).

fof(f231,plain,
    ! [X65,X64] :
      ( hskp21
      | ~ c2_1(X64)
      | ~ c0_1(X64)
      | c1_1(X64)
      | ~ ndr1_0
      | ~ c2_1(X65)
      | ~ c1_1(X65)
      | c0_1(X65) ),
    inference(duplicate_literal_removal,[],[f163]) ).

fof(f163,plain,
    ! [X65,X64] :
      ( hskp21
      | ~ c2_1(X64)
      | ~ c0_1(X64)
      | c1_1(X64)
      | ~ ndr1_0
      | ~ c2_1(X65)
      | ~ c1_1(X65)
      | c0_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f471,plain,
    ( spl0_48
    | ~ spl0_15
    | spl0_21
    | spl0_44 ),
    inference(avatar_split_clause,[],[f232,f442,f341,f317,f463]) ).

fof(f232,plain,
    ! [X62,X63] :
      ( hskp27
      | ~ c2_1(X62)
      | ~ c1_1(X62)
      | ~ c0_1(X62)
      | ~ ndr1_0
      | ~ c2_1(X63)
      | ~ c1_1(X63)
      | c0_1(X63) ),
    inference(duplicate_literal_removal,[],[f164]) ).

fof(f164,plain,
    ! [X62,X63] :
      ( hskp27
      | ~ c2_1(X62)
      | ~ c1_1(X62)
      | ~ c0_1(X62)
      | ~ ndr1_0
      | ~ c2_1(X63)
      | ~ c1_1(X63)
      | c0_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f470,plain,
    ( ~ spl0_15
    | spl0_48
    | spl0_30 ),
    inference(avatar_split_clause,[],[f165,f378,f463,f317]) ).

fof(f165,plain,
    ! [X61] :
      ( hskp13
      | ~ c2_1(X61)
      | ~ c1_1(X61)
      | c0_1(X61)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f461,plain,
    ( spl0_47
    | spl0_37
    | ~ spl0_15
    | spl0_29 ),
    inference(avatar_split_clause,[],[f233,f375,f317,f407,f456]) ).

fof(f233,plain,
    ! [X58,X59,X57] :
      ( ~ c1_1(X57)
      | ~ c0_1(X57)
      | c2_1(X57)
      | ~ ndr1_0
      | ~ c2_1(X58)
      | ~ c0_1(X58)
      | c1_1(X58)
      | ~ c3_1(X59)
      | ~ c1_1(X59)
      | c0_1(X59) ),
    inference(duplicate_literal_removal,[],[f167]) ).

fof(f167,plain,
    ! [X58,X59,X57] :
      ( ~ c1_1(X57)
      | ~ c0_1(X57)
      | c2_1(X57)
      | ~ ndr1_0
      | ~ c2_1(X58)
      | ~ c0_1(X58)
      | c1_1(X58)
      | ~ ndr1_0
      | ~ c3_1(X59)
      | ~ c1_1(X59)
      | c0_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f460,plain,
    ( spl0_47
    | ~ spl0_15
    | spl0_27
    | spl0_24 ),
    inference(avatar_split_clause,[],[f234,f352,f367,f317,f456]) ).

fof(f234,plain,
    ! [X56,X55] :
      ( hskp3
      | ~ c1_1(X55)
      | ~ c0_1(X55)
      | c3_1(X55)
      | ~ ndr1_0
      | ~ c3_1(X56)
      | ~ c1_1(X56)
      | c0_1(X56) ),
    inference(duplicate_literal_removal,[],[f168]) ).

fof(f168,plain,
    ! [X56,X55] :
      ( hskp3
      | ~ c1_1(X55)
      | ~ c0_1(X55)
      | c3_1(X55)
      | ~ ndr1_0
      | ~ c3_1(X56)
      | ~ c1_1(X56)
      | c0_1(X56)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f459,plain,
    ( spl0_47
    | ~ spl0_15
    | spl0_16
    | spl0_33 ),
    inference(avatar_split_clause,[],[f235,f390,f321,f317,f456]) ).

fof(f235,plain,
    ! [X54,X53] :
      ( hskp17
      | ~ c3_1(X53)
      | ~ c2_1(X53)
      | ~ c1_1(X53)
      | ~ ndr1_0
      | ~ c3_1(X54)
      | ~ c1_1(X54)
      | c0_1(X54) ),
    inference(duplicate_literal_removal,[],[f169]) ).

fof(f169,plain,
    ! [X54,X53] :
      ( hskp17
      | ~ c3_1(X53)
      | ~ c2_1(X53)
      | ~ c1_1(X53)
      | ~ ndr1_0
      | ~ c3_1(X54)
      | ~ c1_1(X54)
      | c0_1(X54)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f458,plain,
    ( ~ spl0_15
    | spl0_47
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f170,f312,f308,f456,f317]) ).

fof(f170,plain,
    ! [X52] :
      ( hskp1
      | hskp28
      | ~ c3_1(X52)
      | ~ c1_1(X52)
      | c0_1(X52)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f454,plain,
    ( spl0_43
    | spl0_46
    | ~ spl0_15
    | spl0_34 ),
    inference(avatar_split_clause,[],[f236,f395,f317,f452,f437]) ).

fof(f236,plain,
    ! [X50,X51,X49] :
      ( ~ c3_1(X49)
      | ~ c2_1(X49)
      | ~ c0_1(X49)
      | ~ ndr1_0
      | ~ c0_1(X50)
      | c2_1(X50)
      | c1_1(X50)
      | ~ c3_1(X51)
      | ~ c2_1(X51)
      | c0_1(X51) ),
    inference(duplicate_literal_removal,[],[f171]) ).

fof(f171,plain,
    ! [X50,X51,X49] :
      ( ~ c3_1(X49)
      | ~ c2_1(X49)
      | ~ c0_1(X49)
      | ~ ndr1_0
      | ~ c0_1(X50)
      | c2_1(X50)
      | c1_1(X50)
      | ~ ndr1_0
      | ~ c3_1(X51)
      | ~ c2_1(X51)
      | c0_1(X51)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f450,plain,
    ( spl0_43
    | spl0_41
    | ~ spl0_15
    | spl0_45 ),
    inference(avatar_split_clause,[],[f237,f448,f317,f428,f437]) ).

fof(f237,plain,
    ! [X48,X46,X47] :
      ( ~ c3_1(X46)
      | ~ c2_1(X46)
      | c1_1(X46)
      | ~ ndr1_0
      | ~ c3_1(X47)
      | c2_1(X47)
      | c1_1(X47)
      | ~ c3_1(X48)
      | ~ c2_1(X48)
      | c0_1(X48) ),
    inference(duplicate_literal_removal,[],[f172]) ).

fof(f172,plain,
    ! [X48,X46,X47] :
      ( ~ c3_1(X46)
      | ~ c2_1(X46)
      | c1_1(X46)
      | ~ ndr1_0
      | ~ c3_1(X47)
      | c2_1(X47)
      | c1_1(X47)
      | ~ ndr1_0
      | ~ c3_1(X48)
      | ~ c2_1(X48)
      | c0_1(X48)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f446,plain,
    ( spl0_43
    | ~ spl0_15
    | spl0_34
    | spl0_17 ),
    inference(avatar_split_clause,[],[f238,f324,f395,f317,f437]) ).

fof(f238,plain,
    ! [X44,X45] :
      ( hskp16
      | ~ c3_1(X44)
      | ~ c2_1(X44)
      | ~ c0_1(X44)
      | ~ ndr1_0
      | ~ c3_1(X45)
      | ~ c2_1(X45)
      | c0_1(X45) ),
    inference(duplicate_literal_removal,[],[f173]) ).

fof(f173,plain,
    ! [X44,X45] :
      ( hskp16
      | ~ c3_1(X44)
      | ~ c2_1(X44)
      | ~ c0_1(X44)
      | ~ ndr1_0
      | ~ c3_1(X45)
      | ~ c2_1(X45)
      | c0_1(X45)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f445,plain,
    ( ~ spl0_15
    | spl0_43
    | spl0_44
    | spl0_3 ),
    inference(avatar_split_clause,[],[f174,f263,f442,f437,f317]) ).

fof(f174,plain,
    ! [X43] :
      ( hskp22
      | hskp27
      | ~ c3_1(X43)
      | ~ c2_1(X43)
      | c0_1(X43)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f440,plain,
    ( ~ spl0_15
    | spl0_43
    | spl0_7
    | spl0_11 ),
    inference(avatar_split_clause,[],[f175,f299,f281,f437,f317]) ).

fof(f175,plain,
    ! [X42] :
      ( hskp8
      | hskp20
      | ~ c3_1(X42)
      | ~ c2_1(X42)
      | c0_1(X42)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f439,plain,
    ( ~ spl0_15
    | spl0_43
    | spl0_11
    | spl0_9 ),
    inference(avatar_split_clause,[],[f176,f290,f299,f437,f317]) ).

fof(f176,plain,
    ! [X41] :
      ( hskp4
      | hskp8
      | ~ c3_1(X41)
      | ~ c2_1(X41)
      | c0_1(X41)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f431,plain,
    ( spl0_41
    | ~ spl0_15
    | spl0_32
    | spl0_22 ),
    inference(avatar_split_clause,[],[f239,f344,f387,f317,f428]) ).

fof(f239,plain,
    ! [X38,X39] :
      ( hskp29
      | ~ c0_1(X38)
      | c3_1(X38)
      | c2_1(X38)
      | ~ ndr1_0
      | ~ c3_1(X39)
      | c2_1(X39)
      | c1_1(X39) ),
    inference(duplicate_literal_removal,[],[f178]) ).

fof(f178,plain,
    ! [X38,X39] :
      ( hskp29
      | ~ c0_1(X38)
      | c3_1(X38)
      | c2_1(X38)
      | ~ ndr1_0
      | ~ c3_1(X39)
      | c2_1(X39)
      | c1_1(X39)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f426,plain,
    ( spl0_39
    | ~ spl0_15
    | spl0_27
    | spl0_19 ),
    inference(avatar_split_clause,[],[f241,f332,f367,f317,f419]) ).

fof(f241,plain,
    ! [X34,X35] :
      ( hskp23
      | ~ c1_1(X34)
      | ~ c0_1(X34)
      | c3_1(X34)
      | ~ ndr1_0
      | ~ c0_1(X35)
      | c3_1(X35)
      | c1_1(X35) ),
    inference(duplicate_literal_removal,[],[f180]) ).

fof(f180,plain,
    ! [X34,X35] :
      ( hskp23
      | ~ c1_1(X34)
      | ~ c0_1(X34)
      | c3_1(X34)
      | ~ ndr1_0
      | ~ c0_1(X35)
      | c3_1(X35)
      | c1_1(X35)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f421,plain,
    ( spl0_39
    | ~ spl0_15
    | spl0_16
    | spl0_25 ),
    inference(avatar_split_clause,[],[f243,f357,f321,f317,f419]) ).

fof(f243,plain,
    ! [X31,X30] :
      ( hskp24
      | ~ c3_1(X30)
      | ~ c2_1(X30)
      | ~ c1_1(X30)
      | ~ ndr1_0
      | ~ c0_1(X31)
      | c3_1(X31)
      | c1_1(X31) ),
    inference(duplicate_literal_removal,[],[f182]) ).

fof(f182,plain,
    ! [X31,X30] :
      ( hskp24
      | ~ c3_1(X30)
      | ~ c2_1(X30)
      | ~ c1_1(X30)
      | ~ ndr1_0
      | ~ c0_1(X31)
      | c3_1(X31)
      | c1_1(X31)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f416,plain,
    ( spl0_38
    | ~ spl0_15
    | spl0_28
    | spl0_19 ),
    inference(avatar_split_clause,[],[f245,f332,f371,f317,f411]) ).

fof(f245,plain,
    ! [X26,X27] :
      ( hskp23
      | ~ c3_1(X26)
      | ~ c1_1(X26)
      | c2_1(X26)
      | ~ ndr1_0
      | ~ c2_1(X27)
      | c3_1(X27)
      | c1_1(X27) ),
    inference(duplicate_literal_removal,[],[f184]) ).

fof(f184,plain,
    ! [X26,X27] :
      ( hskp23
      | ~ c3_1(X26)
      | ~ c1_1(X26)
      | c2_1(X26)
      | ~ ndr1_0
      | ~ c2_1(X27)
      | c3_1(X27)
      | c1_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f415,plain,
    ( spl0_38
    | ~ spl0_15
    | spl0_27
    | spl0_1 ),
    inference(avatar_split_clause,[],[f246,f255,f367,f317,f411]) ).

fof(f246,plain,
    ! [X24,X25] :
      ( hskp15
      | ~ c1_1(X24)
      | ~ c0_1(X24)
      | c3_1(X24)
      | ~ ndr1_0
      | ~ c2_1(X25)
      | c3_1(X25)
      | c1_1(X25) ),
    inference(duplicate_literal_removal,[],[f185]) ).

fof(f185,plain,
    ! [X24,X25] :
      ( hskp15
      | ~ c1_1(X24)
      | ~ c0_1(X24)
      | c3_1(X24)
      | ~ ndr1_0
      | ~ c2_1(X25)
      | c3_1(X25)
      | c1_1(X25)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f414,plain,
    ( spl0_38
    | ~ spl0_15
    | spl0_23
    | spl0_3 ),
    inference(avatar_split_clause,[],[f247,f263,f349,f317,f411]) ).

fof(f247,plain,
    ! [X22,X23] :
      ( hskp22
      | ~ c2_1(X22)
      | ~ c1_1(X22)
      | c3_1(X22)
      | ~ ndr1_0
      | ~ c2_1(X23)
      | c3_1(X23)
      | c1_1(X23) ),
    inference(duplicate_literal_removal,[],[f186]) ).

fof(f186,plain,
    ! [X22,X23] :
      ( hskp22
      | ~ c2_1(X22)
      | ~ c1_1(X22)
      | c3_1(X22)
      | ~ ndr1_0
      | ~ c2_1(X23)
      | c3_1(X23)
      | c1_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f413,plain,
    ( spl0_38
    | ~ spl0_15
    | spl0_16
    | spl0_35 ),
    inference(avatar_split_clause,[],[f248,f398,f321,f317,f411]) ).

fof(f248,plain,
    ! [X21,X20] :
      ( hskp18
      | ~ c3_1(X20)
      | ~ c2_1(X20)
      | ~ c1_1(X20)
      | ~ ndr1_0
      | ~ c2_1(X21)
      | c3_1(X21)
      | c1_1(X21) ),
    inference(duplicate_literal_removal,[],[f187]) ).

fof(f187,plain,
    ! [X21,X20] :
      ( hskp18
      | ~ c3_1(X20)
      | ~ c2_1(X20)
      | ~ c1_1(X20)
      | ~ ndr1_0
      | ~ c2_1(X21)
      | c3_1(X21)
      | c1_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f409,plain,
    ( spl0_37
    | spl0_27
    | ~ spl0_15
    | spl0_21 ),
    inference(avatar_split_clause,[],[f249,f341,f317,f367,f407]) ).

fof(f249,plain,
    ! [X18,X19,X17] :
      ( ~ c2_1(X17)
      | ~ c1_1(X17)
      | ~ c0_1(X17)
      | ~ ndr1_0
      | ~ c1_1(X18)
      | ~ c0_1(X18)
      | c3_1(X18)
      | ~ c2_1(X19)
      | ~ c0_1(X19)
      | c1_1(X19) ),
    inference(duplicate_literal_removal,[],[f188]) ).

fof(f188,plain,
    ! [X18,X19,X17] :
      ( ~ c2_1(X17)
      | ~ c1_1(X17)
      | ~ c0_1(X17)
      | ~ ndr1_0
      | ~ c1_1(X18)
      | ~ c0_1(X18)
      | c3_1(X18)
      | ~ ndr1_0
      | ~ c2_1(X19)
      | ~ c0_1(X19)
      | c1_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f393,plain,
    ( ~ spl0_15
    | spl0_32
    | spl0_1
    | spl0_33 ),
    inference(avatar_split_clause,[],[f191,f390,f255,f387,f317]) ).

fof(f191,plain,
    ! [X12] :
      ( hskp17
      | hskp15
      | ~ c0_1(X12)
      | c3_1(X12)
      | c2_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f385,plain,
    ( ~ spl0_15
    | spl0_29
    | spl0_30
    | spl0_31 ),
    inference(avatar_split_clause,[],[f192,f382,f378,f375,f317]) ).

fof(f192,plain,
    ! [X11] :
      ( hskp19
      | hskp13
      | ~ c1_1(X11)
      | ~ c0_1(X11)
      | c2_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f373,plain,
    ( spl0_28
    | ~ spl0_15
    | spl0_21
    | spl0_13 ),
    inference(avatar_split_clause,[],[f252,f308,f341,f317,f371]) ).

fof(f252,plain,
    ! [X10,X9] :
      ( hskp28
      | ~ c2_1(X9)
      | ~ c1_1(X9)
      | ~ c0_1(X9)
      | ~ ndr1_0
      | ~ c3_1(X10)
      | ~ c1_1(X10)
      | c2_1(X10) ),
    inference(duplicate_literal_removal,[],[f193]) ).

fof(f193,plain,
    ! [X10,X9] :
      ( hskp28
      | ~ c2_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(f369,plain,
    ( spl0_27
    | spl0_21
    | ~ spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f253,f321,f317,f341,f367]) ).

fof(f253,plain,
    ! [X8,X6,X7] :
      ( ~ c3_1(X6)
      | ~ c2_1(X6)
      | ~ c1_1(X6)
      | ~ ndr1_0
      | ~ c2_1(X7)
      | ~ c1_1(X7)
      | ~ c0_1(X7)
      | ~ c1_1(X8)
      | ~ c0_1(X8)
      | c3_1(X8) ),
    inference(duplicate_literal_removal,[],[f194]) ).

fof(f194,plain,
    ! [X8,X6,X7] :
      ( ~ c3_1(X6)
      | ~ c2_1(X6)
      | ~ c1_1(X6)
      | ~ ndr1_0
      | ~ c2_1(X7)
      | ~ c1_1(X7)
      | ~ c0_1(X7)
      | ~ ndr1_0
      | ~ c1_1(X8)
      | ~ c0_1(X8)
      | c3_1(X8)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f365,plain,
    ( ~ spl0_15
    | spl0_23
    | spl0_22
    | spl0_26 ),
    inference(avatar_split_clause,[],[f195,f362,f344,f349,f317]) ).

fof(f195,plain,
    ! [X5] :
      ( hskp30
      | hskp29
      | ~ c2_1(X5)
      | ~ c1_1(X5)
      | c3_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f347,plain,
    ( ~ spl0_15
    | spl0_21
    | spl0_22
    | spl0_9 ),
    inference(avatar_split_clause,[],[f198,f290,f344,f341,f317]) ).

fof(f198,plain,
    ! [X2] :
      ( hskp4
      | hskp29
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f327,plain,
    ( ~ spl0_15
    | spl0_16
    | spl0_17
    | spl0_3 ),
    inference(avatar_split_clause,[],[f200,f263,f324,f321,f317]) ).

fof(f200,plain,
    ! [X0] :
      ( hskp22
      | hskp16
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f315,plain,
    ( spl0_13
    | spl0_14
    | spl0_9 ),
    inference(avatar_split_clause,[],[f201,f290,f312,f308]) ).

fof(f201,plain,
    ( hskp4
    | hskp1
    | hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f306,plain,
    ( spl0_8
    | spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f202,f303,f299,f286]) ).

fof(f202,plain,
    ( hskp14
    | hskp8
    | hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN482+1 : TPTP v8.1.2. Released v2.1.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 17:19:53 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (4069)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37  % (4071)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37  % (4070)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37  % (4072)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)
% 0.13/0.37  % (4074)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37  % (4073)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37  % (4075)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37  % (4076)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)
% 0.13/0.38  Detected minimum model sizes of [1]
% 0.13/0.38  Detected maximum model sizes of [31]
% 0.13/0.38  TRYING [1]
% 0.13/0.38  TRYING [2]
% 0.13/0.38  Detected minimum model sizes of [1]
% 0.13/0.38  Detected maximum model sizes of [31]
% 0.13/0.38  TRYING [1]
% 0.13/0.38  TRYING [2]
% 0.13/0.38  TRYING [3]
% 0.13/0.38  Detected minimum model sizes of [1]
% 0.13/0.38  Detected maximum model sizes of [31]
% 0.13/0.38  TRYING [1]
% 0.13/0.38  TRYING [3]
% 0.13/0.38  TRYING [2]
% 0.13/0.39  Detected minimum model sizes of [1]
% 0.13/0.39  Detected maximum model sizes of [31]
% 0.13/0.39  TRYING [1]
% 0.13/0.39  TRYING [3]
% 0.13/0.39  TRYING [4]
% 0.13/0.39  TRYING [2]
% 0.13/0.39  TRYING [4]
% 0.13/0.39  TRYING [3]
% 0.13/0.39  TRYING [4]
% 0.13/0.40  TRYING [4]
% 0.13/0.41  TRYING [5]
% 0.13/0.41  TRYING [5]
% 0.13/0.41  TRYING [5]
% 0.20/0.42  TRYING [5]
% 0.20/0.43  % (4075)First to succeed.
% 0.20/0.45  % (4075)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4069"
% 0.20/0.45  % (4075)Refutation found. Thanks to Tanya!
% 0.20/0.45  % SZS status Theorem for theBenchmark
% 0.20/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.46  % (4075)------------------------------
% 0.20/0.46  % (4075)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.46  % (4075)Termination reason: Refutation
% 0.20/0.46  
% 0.20/0.46  % (4075)Memory used [KB]: 2360
% 0.20/0.46  % (4075)Time elapsed: 0.079 s
% 0.20/0.46  % (4075)Instructions burned: 134 (million)
% 0.20/0.46  % (4069)Success in time 0.105 s
%------------------------------------------------------------------------------