%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN488+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n014.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 11:58:07 EDT 2024

% Result   : Theorem 0.61s 0.82s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  163
% Syntax   : Number of formulae    :  719 (   1 unt;   0 def)
%            Number of atoms       : 6749 (   0 equ)
%            Maximal formula atoms :  722 (   9 avg)
%            Number of connectives : 9000 (2970   ~;4202   |;1218   &)
%                                         ( 162 <=>; 448  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  114 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  200 ( 199 usr; 196 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  859 ( 859   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2391,plain,
    $false,
    inference(avatar_sat_refutation,[],[f256,f278,f287,f292,f322,f330,f342,f358,f362,f371,f375,f380,f403,f408,f421,f422,f424,f428,f432,f433,f434,f442,f448,f454,f455,f460,f465,f467,f471,f472,f484,f485,f489,f494,f499,f500,f501,f505,f506,f507,f512,f518,f519,f523,f529,f534,f535,f536,f537,f538,f559,f564,f569,f575,f580,f585,f591,f596,f601,f623,f628,f633,f644,f649,f671,f676,f681,f687,f692,f697,f703,f708,f713,f719,f724,f729,f735,f740,f745,f751,f756,f761,f762,f767,f772,f777,f783,f788,f793,f799,f804,f809,f815,f820,f825,f831,f836,f841,f847,f852,f857,f863,f868,f873,f879,f884,f889,f895,f900,f905,f911,f916,f921,f927,f932,f937,f943,f948,f953,f959,f964,f969,f970,f991,f996,f1001,f1002,f1007,f1012,f1017,f1023,f1028,f1033,f1039,f1044,f1049,f1069,f1084,f1110,f1142,f1159,f1167,f1177,f1197,f1208,f1221,f1222,f1227,f1234,f1242,f1259,f1277,f1287,f1311,f1323,f1324,f1330,f1337,f1350,f1364,f1376,f1380,f1386,f1406,f1424,f1454,f1495,f1531,f1561,f1601,f1603,f1604,f1630,f1631,f1644,f1649,f1651,f1658,f1674,f1697,f1704,f1706,f1737,f1739,f1741,f1742,f1744,f1757,f1763,f1767,f1781,f1816,f1817,f1819,f1820,f1823,f1827,f1855,f1857,f1876,f1877,f1909,f1910,f1938,f1989,f2016,f2029,f2032,f2077,f2093,f2186,f2211,f2213,f2215,f2216,f2217,f2228,f2288,f2297,f2321,f2339,f2340,f2385,f2388]) ).

fof(f2388,plain,
    ( spl0_173
    | spl0_93
    | ~ spl0_39
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f2377,f705,f410,f700,f1239]) ).

fof(f1239,plain,
    ( spl0_173
  <=> c3_1(a2437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f700,plain,
    ( spl0_93
  <=> c1_1(a2437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f410,plain,
    ( spl0_39
  <=> ! [X27] :
        ( ~ c2_1(X27)
        | c1_1(X27)
        | c3_1(X27) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f705,plain,
    ( spl0_94
  <=> c2_1(a2437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f2377,plain,
    ( c1_1(a2437)
    | c3_1(a2437)
    | ~ spl0_39
    | ~ spl0_94 ),
    inference(resolution,[],[f411,f707]) ).

fof(f707,plain,
    ( c2_1(a2437)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f411,plain,
    ( ! [X27] :
        ( ~ c2_1(X27)
        | c1_1(X27)
        | c3_1(X27) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f2385,plain,
    ( spl0_135
    | spl0_136
    | ~ spl0_39
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2371,f934,f410,f929,f924]) ).

fof(f924,plain,
    ( spl0_135
  <=> c3_1(a2411) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f929,plain,
    ( spl0_136
  <=> c1_1(a2411) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f934,plain,
    ( spl0_137
  <=> c2_1(a2411) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2371,plain,
    ( c1_1(a2411)
    | c3_1(a2411)
    | ~ spl0_39
    | ~ spl0_137 ),
    inference(resolution,[],[f411,f936]) ).

fof(f936,plain,
    ( c2_1(a2411)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f934]) ).

fof(f2340,plain,
    ( ~ spl0_187
    | spl0_135
    | ~ spl0_28
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2324,f934,f360,f924,f1734]) ).

fof(f1734,plain,
    ( spl0_187
  <=> c0_1(a2411) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f360,plain,
    ( spl0_28
  <=> ! [X7] :
        ( ~ c2_1(X7)
        | c3_1(X7)
        | ~ c0_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f2324,plain,
    ( c3_1(a2411)
    | ~ c0_1(a2411)
    | ~ spl0_28
    | ~ spl0_137 ),
    inference(resolution,[],[f361,f936]) ).

fof(f361,plain,
    ( ! [X7] :
        ( ~ c2_1(X7)
        | c3_1(X7)
        | ~ c0_1(X7) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f2339,plain,
    ( ~ spl0_149
    | spl0_147
    | ~ spl0_28
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2323,f993,f360,f988,f998]) ).

fof(f998,plain,
    ( spl0_149
  <=> c0_1(a2405) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f988,plain,
    ( spl0_147
  <=> c3_1(a2405) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f993,plain,
    ( spl0_148
  <=> c2_1(a2405) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f2323,plain,
    ( c3_1(a2405)
    | ~ c0_1(a2405)
    | ~ spl0_28
    | ~ spl0_148 ),
    inference(resolution,[],[f361,f995]) ).

fof(f995,plain,
    ( c2_1(a2405)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f993]) ).

fof(f2321,plain,
    ( spl0_103
    | spl0_104
    | ~ spl0_54
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f2319,f1700,f487,f758,f753]) ).

fof(f753,plain,
    ( spl0_103
  <=> c2_1(a2428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f758,plain,
    ( spl0_104
  <=> c0_1(a2428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f487,plain,
    ( spl0_54
  <=> ! [X68] :
        ( ~ c1_1(X68)
        | c0_1(X68)
        | c2_1(X68) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f1700,plain,
    ( spl0_186
  <=> c1_1(a2428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f2319,plain,
    ( c0_1(a2428)
    | c2_1(a2428)
    | ~ spl0_54
    | ~ spl0_186 ),
    inference(resolution,[],[f1702,f488]) ).

fof(f488,plain,
    ( ! [X68] :
        ( ~ c1_1(X68)
        | c0_1(X68)
        | c2_1(X68) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f1702,plain,
    ( c1_1(a2428)
    | ~ spl0_186 ),
    inference(avatar_component_clause,[],[f1700]) ).

fof(f2297,plain,
    ( ~ spl0_72
    | ~ spl0_74
    | ~ spl0_15
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f2295,f593,f307,f598,f588]) ).

fof(f588,plain,
    ( spl0_72
  <=> c3_1(a2406) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f598,plain,
    ( spl0_74
  <=> c1_1(a2406) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f307,plain,
    ( spl0_15
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f593,plain,
    ( spl0_73
  <=> c2_1(a2406) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f2295,plain,
    ( ~ c1_1(a2406)
    | ~ c3_1(a2406)
    | ~ spl0_15
    | ~ spl0_73 ),
    inference(resolution,[],[f595,f308]) ).

fof(f308,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f595,plain,
    ( c2_1(a2406)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f2288,plain,
    ( ~ spl0_179
    | spl0_138
    | ~ spl0_31
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2278,f945,f373,f940,f1420]) ).

fof(f1420,plain,
    ( spl0_179
  <=> c3_1(a2410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f940,plain,
    ( spl0_138
  <=> c2_1(a2410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f373,plain,
    ( spl0_31
  <=> ! [X12] :
        ( ~ c3_1(X12)
        | c2_1(X12)
        | ~ c1_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f945,plain,
    ( spl0_139
  <=> c1_1(a2410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2278,plain,
    ( c2_1(a2410)
    | ~ c3_1(a2410)
    | ~ spl0_31
    | ~ spl0_139 ),
    inference(resolution,[],[f374,f947]) ).

fof(f947,plain,
    ( c1_1(a2410)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f945]) ).

fof(f374,plain,
    ( ! [X12] :
        ( ~ c1_1(X12)
        | c2_1(X12)
        | ~ c3_1(X12) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f2228,plain,
    ( ~ spl0_69
    | ~ spl0_177
    | ~ spl0_15
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f2227,f577,f307,f1388,f572]) ).

fof(f572,plain,
    ( spl0_69
  <=> c3_1(a2409) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1388,plain,
    ( spl0_177
  <=> c1_1(a2409) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f577,plain,
    ( spl0_70
  <=> c2_1(a2409) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f2227,plain,
    ( ~ c1_1(a2409)
    | ~ c3_1(a2409)
    | ~ spl0_15
    | ~ spl0_70 ),
    inference(resolution,[],[f579,f308]) ).

fof(f579,plain,
    ( c2_1(a2409)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f2217,plain,
    ( spl0_91
    | spl0_90
    | ~ spl0_62
    | spl0_92 ),
    inference(avatar_split_clause,[],[f2204,f694,f532,f684,f689]) ).

fof(f689,plain,
    ( spl0_91
  <=> c1_1(a2453) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f684,plain,
    ( spl0_90
  <=> c2_1(a2453) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f532,plain,
    ( spl0_62
  <=> ! [X101] :
        ( c2_1(X101)
        | c0_1(X101)
        | c1_1(X101) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f694,plain,
    ( spl0_92
  <=> c0_1(a2453) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f2204,plain,
    ( c2_1(a2453)
    | c1_1(a2453)
    | ~ spl0_62
    | spl0_92 ),
    inference(resolution,[],[f533,f696]) ).

fof(f696,plain,
    ( ~ c0_1(a2453)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f533,plain,
    ( ! [X101] :
        ( c0_1(X101)
        | c2_1(X101)
        | c1_1(X101) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f2216,plain,
    ( spl0_176
    | spl0_96
    | ~ spl0_62
    | spl0_97 ),
    inference(avatar_split_clause,[],[f2203,f721,f532,f716,f1334]) ).

fof(f1334,plain,
    ( spl0_176
  <=> c1_1(a2435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f716,plain,
    ( spl0_96
  <=> c2_1(a2435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f721,plain,
    ( spl0_97
  <=> c0_1(a2435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f2203,plain,
    ( c2_1(a2435)
    | c1_1(a2435)
    | ~ spl0_62
    | spl0_97 ),
    inference(resolution,[],[f533,f723]) ).

fof(f723,plain,
    ( ~ c0_1(a2435)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f2215,plain,
    ( spl0_186
    | spl0_103
    | ~ spl0_62
    | spl0_104 ),
    inference(avatar_split_clause,[],[f2202,f758,f532,f753,f1700]) ).

fof(f2202,plain,
    ( c2_1(a2428)
    | c1_1(a2428)
    | ~ spl0_62
    | spl0_104 ),
    inference(resolution,[],[f533,f760]) ).

fof(f760,plain,
    ( ~ c0_1(a2428)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f2213,plain,
    ( spl0_120
    | spl0_172
    | ~ spl0_62
    | spl0_121 ),
    inference(avatar_split_clause,[],[f2199,f849,f532,f1224,f844]) ).

fof(f844,plain,
    ( spl0_120
  <=> c1_1(a2417) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1224,plain,
    ( spl0_172
  <=> c2_1(a2417) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f849,plain,
    ( spl0_121
  <=> c0_1(a2417) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f2199,plain,
    ( c2_1(a2417)
    | c1_1(a2417)
    | ~ spl0_62
    | spl0_121 ),
    inference(resolution,[],[f533,f851]) ).

fof(f851,plain,
    ( ~ c0_1(a2417)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f2211,plain,
    ( spl0_43
    | ~ spl0_60
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f2210,f532,f521,f430]) ).

fof(f430,plain,
    ( spl0_43
  <=> ! [X38] :
        ( ~ c3_1(X38)
        | c1_1(X38)
        | c2_1(X38) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f521,plain,
    ( spl0_60
  <=> ! [X90] :
        ( ~ c3_1(X90)
        | c1_1(X90)
        | ~ c0_1(X90) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f2210,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_60
    | ~ spl0_62 ),
    inference(duplicate_literal_removal,[],[f2193]) ).

fof(f2193,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_60
    | ~ spl0_62 ),
    inference(resolution,[],[f533,f522]) ).

fof(f522,plain,
    ( ! [X90] :
        ( ~ c0_1(X90)
        | c1_1(X90)
        | ~ c3_1(X90) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f2186,plain,
    ( spl0_129
    | spl0_169
    | ~ spl0_61
    | spl0_130 ),
    inference(avatar_split_clause,[],[f2169,f897,f527,f1174,f892]) ).

fof(f892,plain,
    ( spl0_129
  <=> c1_1(a2413) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1174,plain,
    ( spl0_169
  <=> c3_1(a2413) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f527,plain,
    ( spl0_61
  <=> ! [X96] :
        ( c3_1(X96)
        | c0_1(X96)
        | c1_1(X96) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f897,plain,
    ( spl0_130
  <=> c0_1(a2413) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f2169,plain,
    ( c3_1(a2413)
    | c1_1(a2413)
    | ~ spl0_61
    | spl0_130 ),
    inference(resolution,[],[f528,f899]) ).

fof(f899,plain,
    ( ~ c0_1(a2413)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f528,plain,
    ( ! [X96] :
        ( c0_1(X96)
        | c3_1(X96)
        | c1_1(X96) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f2093,plain,
    ( spl0_108
    | spl0_109
    | ~ spl0_34
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f2088,f1284,f387,f785,f780]) ).

fof(f780,plain,
    ( spl0_108
  <=> c3_1(a2425) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f785,plain,
    ( spl0_109
  <=> c2_1(a2425) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f387,plain,
    ( spl0_34
  <=> ! [X16] :
        ( ~ c1_1(X16)
        | c2_1(X16)
        | c3_1(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1284,plain,
    ( spl0_174
  <=> c1_1(a2425) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f2088,plain,
    ( c2_1(a2425)
    | c3_1(a2425)
    | ~ spl0_34
    | ~ spl0_174 ),
    inference(resolution,[],[f388,f1286]) ).

fof(f1286,plain,
    ( c1_1(a2425)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1284]) ).

fof(f388,plain,
    ( ! [X16] :
        ( ~ c1_1(X16)
        | c2_1(X16)
        | c3_1(X16) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f2077,plain,
    ( spl0_108
    | spl0_109
    | ~ spl0_36
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2068,f790,f396,f785,f780]) ).

fof(f396,plain,
    ( spl0_36
  <=> ! [X18] :
        ( ~ c0_1(X18)
        | c2_1(X18)
        | c3_1(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f790,plain,
    ( spl0_110
  <=> c0_1(a2425) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f2068,plain,
    ( c2_1(a2425)
    | c3_1(a2425)
    | ~ spl0_36
    | ~ spl0_110 ),
    inference(resolution,[],[f397,f792]) ).

fof(f792,plain,
    ( c0_1(a2425)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f397,plain,
    ( ! [X18] :
        ( ~ c0_1(X18)
        | c2_1(X18)
        | c3_1(X18) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f2032,plain,
    ( ~ spl0_100
    | ~ spl0_101
    | ~ spl0_15
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1889,f1327,f307,f742,f737]) ).

fof(f737,plain,
    ( spl0_100
  <=> c3_1(a2432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f742,plain,
    ( spl0_101
  <=> c1_1(a2432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1327,plain,
    ( spl0_175
  <=> c2_1(a2432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f1889,plain,
    ( ~ c1_1(a2432)
    | ~ c3_1(a2432)
    | ~ spl0_15
    | ~ spl0_175 ),
    inference(resolution,[],[f308,f1329]) ).

fof(f1329,plain,
    ( c2_1(a2432)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f1327]) ).

fof(f2029,plain,
    ( ~ spl0_116
    | spl0_163
    | ~ spl0_50
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f2024,f817,f469,f1101,f822]) ).

fof(f822,plain,
    ( spl0_116
  <=> c1_1(a2420) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1101,plain,
    ( spl0_163
  <=> c0_1(a2420) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f469,plain,
    ( spl0_50
  <=> ! [X59] :
        ( ~ c2_1(X59)
        | c0_1(X59)
        | ~ c1_1(X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f817,plain,
    ( spl0_115
  <=> c2_1(a2420) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f2024,plain,
    ( c0_1(a2420)
    | ~ c1_1(a2420)
    | ~ spl0_50
    | ~ spl0_115 ),
    inference(resolution,[],[f470,f819]) ).

fof(f819,plain,
    ( c2_1(a2420)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f470,plain,
    ( ! [X59] :
        ( ~ c2_1(X59)
        | c0_1(X59)
        | ~ c1_1(X59) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f2016,plain,
    ( ~ spl0_88
    | spl0_87
    | ~ spl0_48
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f2010,f1066,f457,f668,f673]) ).

fof(f673,plain,
    ( spl0_88
  <=> c3_1(a2455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f668,plain,
    ( spl0_87
  <=> c0_1(a2455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f457,plain,
    ( spl0_48
  <=> ! [X52] :
        ( ~ c3_1(X52)
        | c0_1(X52)
        | ~ c1_1(X52) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1066,plain,
    ( spl0_160
  <=> c1_1(a2455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f2010,plain,
    ( c0_1(a2455)
    | ~ c3_1(a2455)
    | ~ spl0_48
    | ~ spl0_160 ),
    inference(resolution,[],[f458,f1067]) ).

fof(f1067,plain,
    ( c1_1(a2455)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1066]) ).

fof(f458,plain,
    ( ! [X52] :
        ( ~ c1_1(X52)
        | c0_1(X52)
        | ~ c3_1(X52) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f1989,plain,
    ( spl0_151
    | spl0_152
    | ~ spl0_44
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f1979,f1627,f436,f1014,f1009]) ).

fof(f1009,plain,
    ( spl0_151
  <=> c2_1(a2404) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1014,plain,
    ( spl0_152
  <=> c1_1(a2404) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f436,plain,
    ( spl0_44
  <=> ! [X43] :
        ( ~ c0_1(X43)
        | c1_1(X43)
        | c2_1(X43) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1627,plain,
    ( spl0_182
  <=> c0_1(a2404) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f1979,plain,
    ( c1_1(a2404)
    | c2_1(a2404)
    | ~ spl0_44
    | ~ spl0_182 ),
    inference(resolution,[],[f437,f1629]) ).

fof(f1629,plain,
    ( c0_1(a2404)
    | ~ spl0_182 ),
    inference(avatar_component_clause,[],[f1627]) ).

fof(f437,plain,
    ( ! [X43] :
        ( ~ c0_1(X43)
        | c1_1(X43)
        | c2_1(X43) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f1938,plain,
    ( ~ spl0_142
    | spl0_141
    | ~ spl0_31
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f1928,f1433,f373,f956,f961]) ).

fof(f961,plain,
    ( spl0_142
  <=> c3_1(a2408) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f956,plain,
    ( spl0_141
  <=> c2_1(a2408) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1433,plain,
    ( spl0_180
  <=> c1_1(a2408) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f1928,plain,
    ( c2_1(a2408)
    | ~ c3_1(a2408)
    | ~ spl0_31
    | ~ spl0_180 ),
    inference(resolution,[],[f374,f1435]) ).

fof(f1435,plain,
    ( c1_1(a2408)
    | ~ spl0_180 ),
    inference(avatar_component_clause,[],[f1433]) ).

fof(f1910,plain,
    ( ~ spl0_79
    | ~ spl0_80
    | ~ spl0_24
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1906,f1139,f344,f630,f625]) ).

fof(f625,plain,
    ( spl0_79
  <=> c1_1(a2484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f630,plain,
    ( spl0_80
  <=> c0_1(a2484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f344,plain,
    ( spl0_24
  <=> ! [X4] :
        ( ~ c2_1(X4)
        | ~ c0_1(X4)
        | ~ c1_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1139,plain,
    ( spl0_166
  <=> c2_1(a2484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f1906,plain,
    ( ~ c0_1(a2484)
    | ~ c1_1(a2484)
    | ~ spl0_24
    | ~ spl0_166 ),
    inference(resolution,[],[f345,f1141]) ).

fof(f1141,plain,
    ( c2_1(a2484)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1139]) ).

fof(f345,plain,
    ( ! [X4] :
        ( ~ c2_1(X4)
        | ~ c0_1(X4)
        | ~ c1_1(X4) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f1909,plain,
    ( ~ spl0_116
    | ~ spl0_163
    | ~ spl0_24
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1902,f817,f344,f1101,f822]) ).

fof(f1902,plain,
    ( ~ c0_1(a2420)
    | ~ c1_1(a2420)
    | ~ spl0_24
    | ~ spl0_115 ),
    inference(resolution,[],[f345,f819]) ).

fof(f1877,plain,
    ( ~ spl0_140
    | spl0_138
    | ~ spl0_32
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1874,f945,f377,f940,f950]) ).

fof(f950,plain,
    ( spl0_140
  <=> c0_1(a2410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f377,plain,
    ( spl0_32
  <=> ! [X13] :
        ( ~ c1_1(X13)
        | c2_1(X13)
        | ~ c0_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1874,plain,
    ( c2_1(a2410)
    | ~ c0_1(a2410)
    | ~ spl0_32
    | ~ spl0_139 ),
    inference(resolution,[],[f947,f378]) ).

fof(f378,plain,
    ( ! [X13] :
        ( ~ c1_1(X13)
        | c2_1(X13)
        | ~ c0_1(X13) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f1876,plain,
    ( spl0_179
    | spl0_138
    | ~ spl0_34
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1873,f945,f387,f940,f1420]) ).

fof(f1873,plain,
    ( c2_1(a2410)
    | c3_1(a2410)
    | ~ spl0_34
    | ~ spl0_139 ),
    inference(resolution,[],[f947,f388]) ).

fof(f1857,plain,
    ( spl0_164
    | spl0_132
    | ~ spl0_34
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1833,f918,f387,f908,f1129]) ).

fof(f1129,plain,
    ( spl0_164
  <=> c3_1(a2412) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f908,plain,
    ( spl0_132
  <=> c2_1(a2412) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f918,plain,
    ( spl0_134
  <=> c1_1(a2412) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1833,plain,
    ( c2_1(a2412)
    | c3_1(a2412)
    | ~ spl0_34
    | ~ spl0_134 ),
    inference(resolution,[],[f388,f920]) ).

fof(f920,plain,
    ( c1_1(a2412)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f1855,plain,
    ( spl0_141
    | spl0_180
    | ~ spl0_43
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1844,f961,f430,f1433,f956]) ).

fof(f1844,plain,
    ( c1_1(a2408)
    | c2_1(a2408)
    | ~ spl0_43
    | ~ spl0_142 ),
    inference(resolution,[],[f431,f963]) ).

fof(f963,plain,
    ( c3_1(a2408)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f431,plain,
    ( ! [X38] :
        ( ~ c3_1(X38)
        | c1_1(X38)
        | c2_1(X38) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f1827,plain,
    ( ~ spl0_71
    | spl0_177
    | ~ spl0_38
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1814,f577,f406,f1388,f582]) ).

fof(f582,plain,
    ( spl0_71
  <=> c0_1(a2409) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f406,plain,
    ( spl0_38
  <=> ! [X26] :
        ( ~ c2_1(X26)
        | c1_1(X26)
        | ~ c0_1(X26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1814,plain,
    ( c1_1(a2409)
    | ~ c0_1(a2409)
    | ~ spl0_38
    | ~ spl0_70 ),
    inference(resolution,[],[f407,f579]) ).

fof(f407,plain,
    ( ! [X26] :
        ( ~ c2_1(X26)
        | c1_1(X26)
        | ~ c0_1(X26) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f1823,plain,
    ( ~ spl0_95
    | spl0_93
    | ~ spl0_38
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1810,f705,f406,f700,f710]) ).

fof(f710,plain,
    ( spl0_95
  <=> c0_1(a2437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1810,plain,
    ( c1_1(a2437)
    | ~ c0_1(a2437)
    | ~ spl0_38
    | ~ spl0_94 ),
    inference(resolution,[],[f407,f707]) ).

fof(f1820,plain,
    ( ~ spl0_128
    | spl0_127
    | ~ spl0_38
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1807,f1164,f406,f881,f886]) ).

fof(f886,plain,
    ( spl0_128
  <=> c0_1(a2414) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f881,plain,
    ( spl0_127
  <=> c1_1(a2414) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1164,plain,
    ( spl0_168
  <=> c2_1(a2414) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f1807,plain,
    ( c1_1(a2414)
    | ~ c0_1(a2414)
    | ~ spl0_38
    | ~ spl0_168 ),
    inference(resolution,[],[f407,f1166]) ).

fof(f1166,plain,
    ( c2_1(a2414)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1164]) ).

fof(f1819,plain,
    ( ~ spl0_187
    | spl0_136
    | ~ spl0_38
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1805,f934,f406,f929,f1734]) ).

fof(f1805,plain,
    ( c1_1(a2411)
    | ~ c0_1(a2411)
    | ~ spl0_38
    | ~ spl0_137 ),
    inference(resolution,[],[f407,f936]) ).

fof(f1817,plain,
    ( ~ spl0_149
    | spl0_170
    | ~ spl0_38
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1803,f993,f406,f1205,f998]) ).

fof(f1205,plain,
    ( spl0_170
  <=> c1_1(a2405) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f1803,plain,
    ( c1_1(a2405)
    | ~ c0_1(a2405)
    | ~ spl0_38
    | ~ spl0_148 ),
    inference(resolution,[],[f407,f995]) ).

fof(f1816,plain,
    ( ~ spl0_158
    | spl0_156
    | ~ spl0_38
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1802,f1218,f406,f1036,f1046]) ).

fof(f1046,plain,
    ( spl0_158
  <=> c0_1(a2402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f1036,plain,
    ( spl0_156
  <=> c1_1(a2402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f1218,plain,
    ( spl0_171
  <=> c2_1(a2402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f1802,plain,
    ( c1_1(a2402)
    | ~ c0_1(a2402)
    | ~ spl0_38
    | ~ spl0_171 ),
    inference(resolution,[],[f407,f1220]) ).

fof(f1220,plain,
    ( c2_1(a2402)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1218]) ).

fof(f1781,plain,
    ( ~ spl0_69
    | ~ spl0_71
    | ~ spl0_21
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1504,f1388,f332,f582,f572]) ).

fof(f332,plain,
    ( spl0_21
  <=> ! [X3] :
        ( ~ c3_1(X3)
        | ~ c0_1(X3)
        | ~ c1_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f1504,plain,
    ( ~ c0_1(a2409)
    | ~ c3_1(a2409)
    | ~ spl0_21
    | ~ spl0_177 ),
    inference(resolution,[],[f1389,f333]) ).

fof(f333,plain,
    ( ! [X3] :
        ( ~ c1_1(X3)
        | ~ c0_1(X3)
        | ~ c3_1(X3) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f1389,plain,
    ( c1_1(a2409)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1388]) ).

fof(f1767,plain,
    ( ~ spl0_160
    | spl0_87
    | ~ spl0_50
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1670,f678,f469,f668,f1066]) ).

fof(f678,plain,
    ( spl0_89
  <=> c2_1(a2455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1670,plain,
    ( c0_1(a2455)
    | ~ c1_1(a2455)
    | ~ spl0_50
    | ~ spl0_89 ),
    inference(resolution,[],[f470,f680]) ).

fof(f680,plain,
    ( c2_1(a2455)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f1763,plain,
    ( ~ spl0_142
    | spl0_180
    | ~ spl0_60
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1749,f966,f521,f1433,f961]) ).

fof(f966,plain,
    ( spl0_143
  <=> c0_1(a2408) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1749,plain,
    ( c1_1(a2408)
    | ~ c3_1(a2408)
    | ~ spl0_60
    | ~ spl0_143 ),
    inference(resolution,[],[f522,f968]) ).

fof(f968,plain,
    ( c0_1(a2408)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f1757,plain,
    ( ~ spl0_157
    | spl0_156
    | ~ spl0_60
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1745,f1046,f521,f1036,f1041]) ).

fof(f1041,plain,
    ( spl0_157
  <=> c3_1(a2402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1745,plain,
    ( c1_1(a2402)
    | ~ c3_1(a2402)
    | ~ spl0_60
    | ~ spl0_158 ),
    inference(resolution,[],[f522,f1048]) ).

fof(f1048,plain,
    ( c0_1(a2402)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1046]) ).

fof(f1744,plain,
    ( spl0_159
    | spl0_82
    | ~ spl0_59
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1731,f646,f516,f641,f1059]) ).

fof(f1059,plain,
    ( spl0_159
  <=> c1_1(a2478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f641,plain,
    ( spl0_82
  <=> c0_1(a2478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f516,plain,
    ( spl0_59
  <=> ! [X88] :
        ( ~ c2_1(X88)
        | c0_1(X88)
        | c1_1(X88) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f646,plain,
    ( spl0_83
  <=> c2_1(a2478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1731,plain,
    ( c0_1(a2478)
    | c1_1(a2478)
    | ~ spl0_59
    | ~ spl0_83 ),
    inference(resolution,[],[f517,f648]) ).

fof(f648,plain,
    ( c2_1(a2478)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f646]) ).

fof(f517,plain,
    ( ! [X88] :
        ( ~ c2_1(X88)
        | c0_1(X88)
        | c1_1(X88) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f1742,plain,
    ( spl0_160
    | spl0_87
    | ~ spl0_59
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1729,f678,f516,f668,f1066]) ).

fof(f1729,plain,
    ( c0_1(a2455)
    | c1_1(a2455)
    | ~ spl0_59
    | ~ spl0_89 ),
    inference(resolution,[],[f517,f680]) ).

fof(f1741,plain,
    ( spl0_105
    | spl0_184
    | ~ spl0_59
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1727,f774,f516,f1646,f764]) ).

fof(f764,plain,
    ( spl0_105
  <=> c1_1(a2427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1646,plain,
    ( spl0_184
  <=> c0_1(a2427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f774,plain,
    ( spl0_107
  <=> c2_1(a2427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1727,plain,
    ( c0_1(a2427)
    | c1_1(a2427)
    | ~ spl0_59
    | ~ spl0_107 ),
    inference(resolution,[],[f517,f776]) ).

fof(f776,plain,
    ( c2_1(a2427)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f1739,plain,
    ( spl0_129
    | spl0_130
    | ~ spl0_59
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1724,f902,f516,f897,f892]) ).

fof(f902,plain,
    ( spl0_131
  <=> c2_1(a2413) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1724,plain,
    ( c0_1(a2413)
    | c1_1(a2413)
    | ~ spl0_59
    | ~ spl0_131 ),
    inference(resolution,[],[f517,f904]) ).

fof(f904,plain,
    ( c2_1(a2413)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f902]) ).

fof(f1737,plain,
    ( spl0_136
    | spl0_187
    | ~ spl0_59
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1722,f934,f516,f1734,f929]) ).

fof(f1722,plain,
    ( c0_1(a2411)
    | c1_1(a2411)
    | ~ spl0_59
    | ~ spl0_137 ),
    inference(resolution,[],[f517,f936]) ).

fof(f1706,plain,
    ( spl0_160
    | spl0_87
    | ~ spl0_58
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1689,f673,f509,f668,f1066]) ).

fof(f509,plain,
    ( spl0_58
  <=> ! [X81] :
        ( ~ c3_1(X81)
        | c0_1(X81)
        | c1_1(X81) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f1689,plain,
    ( c0_1(a2455)
    | c1_1(a2455)
    | ~ spl0_58
    | ~ spl0_88 ),
    inference(resolution,[],[f510,f675]) ).

fof(f675,plain,
    ( c3_1(a2455)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f510,plain,
    ( ! [X81] :
        ( ~ c3_1(X81)
        | c0_1(X81)
        | c1_1(X81) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f1704,plain,
    ( spl0_176
    | spl0_97
    | ~ spl0_58
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1687,f726,f509,f721,f1334]) ).

fof(f726,plain,
    ( spl0_98
  <=> c3_1(a2435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1687,plain,
    ( c0_1(a2435)
    | c1_1(a2435)
    | ~ spl0_58
    | ~ spl0_98 ),
    inference(resolution,[],[f510,f728]) ).

fof(f728,plain,
    ( c3_1(a2435)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f1697,plain,
    ( spl0_120
    | spl0_121
    | ~ spl0_58
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1682,f854,f509,f849,f844]) ).

fof(f854,plain,
    ( spl0_122
  <=> c3_1(a2417) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1682,plain,
    ( c0_1(a2417)
    | c1_1(a2417)
    | ~ spl0_58
    | ~ spl0_122 ),
    inference(resolution,[],[f510,f856]) ).

fof(f856,plain,
    ( c3_1(a2417)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f1674,plain,
    ( ~ spl0_119
    | spl0_117
    | ~ spl0_50
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1665,f833,f469,f828,f838]) ).

fof(f838,plain,
    ( spl0_119
  <=> c1_1(a2418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f828,plain,
    ( spl0_117
  <=> c0_1(a2418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f833,plain,
    ( spl0_118
  <=> c2_1(a2418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1665,plain,
    ( c0_1(a2418)
    | ~ c1_1(a2418)
    | ~ spl0_50
    | ~ spl0_118 ),
    inference(resolution,[],[f470,f835]) ).

fof(f835,plain,
    ( c2_1(a2418)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f1658,plain,
    ( spl0_153
    | spl0_154
    | ~ spl0_34
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1653,f1030,f387,f1025,f1020]) ).

fof(f1020,plain,
    ( spl0_153
  <=> c3_1(a2403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1025,plain,
    ( spl0_154
  <=> c2_1(a2403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1030,plain,
    ( spl0_155
  <=> c1_1(a2403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1653,plain,
    ( c2_1(a2403)
    | c3_1(a2403)
    | ~ spl0_34
    | ~ spl0_155 ),
    inference(resolution,[],[f1032,f388]) ).

fof(f1032,plain,
    ( c1_1(a2403)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1030]) ).

fof(f1651,plain,
    ( spl0_153
    | spl0_167
    | ~ spl0_57
    | spl0_154 ),
    inference(avatar_split_clause,[],[f1650,f1025,f503,f1155,f1020]) ).

fof(f1155,plain,
    ( spl0_167
  <=> c0_1(a2403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f503,plain,
    ( spl0_57
  <=> ! [X76] :
        ( c3_1(X76)
        | c0_1(X76)
        | c2_1(X76) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1650,plain,
    ( c0_1(a2403)
    | c3_1(a2403)
    | ~ spl0_57
    | spl0_154 ),
    inference(resolution,[],[f1027,f504]) ).

fof(f504,plain,
    ( ! [X76] :
        ( c2_1(X76)
        | c0_1(X76)
        | c3_1(X76) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f1027,plain,
    ( ~ c2_1(a2403)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f1025]) ).

fof(f1649,plain,
    ( ~ spl0_106
    | ~ spl0_184
    | ~ spl0_19
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1641,f774,f324,f1646,f769]) ).

fof(f769,plain,
    ( spl0_106
  <=> c3_1(a2427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f324,plain,
    ( spl0_19
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1641,plain,
    ( ~ c0_1(a2427)
    | ~ c3_1(a2427)
    | ~ spl0_19
    | ~ spl0_107 ),
    inference(resolution,[],[f776,f325]) ).

fof(f325,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f1644,plain,
    ( ~ spl0_106
    | spl0_105
    | ~ spl0_37
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1640,f774,f400,f764,f769]) ).

fof(f400,plain,
    ( spl0_37
  <=> ! [X19] :
        ( ~ c3_1(X19)
        | c1_1(X19)
        | ~ c2_1(X19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1640,plain,
    ( c1_1(a2427)
    | ~ c3_1(a2427)
    | ~ spl0_37
    | ~ spl0_107 ),
    inference(resolution,[],[f776,f401]) ).

fof(f401,plain,
    ( ! [X19] :
        ( ~ c2_1(X19)
        | c1_1(X19)
        | ~ c3_1(X19) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f1631,plain,
    ( spl0_102
    | spl0_104
    | ~ spl0_57
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1619,f753,f503,f758,f748]) ).

fof(f748,plain,
    ( spl0_102
  <=> c3_1(a2428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1619,plain,
    ( c0_1(a2428)
    | c3_1(a2428)
    | ~ spl0_57
    | spl0_103 ),
    inference(resolution,[],[f504,f755]) ).

fof(f755,plain,
    ( ~ c2_1(a2428)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f1630,plain,
    ( spl0_150
    | spl0_182
    | ~ spl0_57
    | spl0_151 ),
    inference(avatar_split_clause,[],[f1615,f1009,f503,f1627,f1004]) ).

fof(f1004,plain,
    ( spl0_150
  <=> c3_1(a2404) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1615,plain,
    ( c0_1(a2404)
    | c3_1(a2404)
    | ~ spl0_57
    | spl0_151 ),
    inference(resolution,[],[f504,f1011]) ).

fof(f1011,plain,
    ( ~ c2_1(a2404)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f1009]) ).

fof(f1604,plain,
    ( spl0_173
    | spl0_93
    | ~ spl0_42
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1598,f710,f426,f700,f1239]) ).

fof(f426,plain,
    ( spl0_42
  <=> ! [X37] :
        ( ~ c0_1(X37)
        | c1_1(X37)
        | c3_1(X37) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1598,plain,
    ( c1_1(a2437)
    | c3_1(a2437)
    | ~ spl0_42
    | ~ spl0_95 ),
    inference(resolution,[],[f427,f712]) ).

fof(f712,plain,
    ( c0_1(a2437)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f427,plain,
    ( ! [X37] :
        ( ~ c0_1(X37)
        | c1_1(X37)
        | c3_1(X37) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f1603,plain,
    ( spl0_126
    | spl0_127
    | ~ spl0_42
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1597,f886,f426,f881,f876]) ).

fof(f876,plain,
    ( spl0_126
  <=> c3_1(a2414) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1597,plain,
    ( c1_1(a2414)
    | c3_1(a2414)
    | ~ spl0_42
    | ~ spl0_128 ),
    inference(resolution,[],[f427,f888]) ).

fof(f888,plain,
    ( c0_1(a2414)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f1601,plain,
    ( spl0_147
    | spl0_170
    | ~ spl0_42
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1595,f998,f426,f1205,f988]) ).

fof(f1595,plain,
    ( c1_1(a2405)
    | c3_1(a2405)
    | ~ spl0_42
    | ~ spl0_149 ),
    inference(resolution,[],[f427,f1000]) ).

fof(f1000,plain,
    ( c0_1(a2405)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f998]) ).

fof(f1561,plain,
    ( ~ spl0_66
    | ~ spl0_68
    | ~ spl0_21
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1555,f561,f332,f566,f556]) ).

fof(f556,plain,
    ( spl0_66
  <=> c3_1(a2450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f566,plain,
    ( spl0_68
  <=> c0_1(a2450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f561,plain,
    ( spl0_67
  <=> c1_1(a2450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1555,plain,
    ( ~ c0_1(a2450)
    | ~ c3_1(a2450)
    | ~ spl0_21
    | ~ spl0_67 ),
    inference(resolution,[],[f563,f333]) ).

fof(f563,plain,
    ( c1_1(a2450)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f1531,plain,
    ( ~ spl0_88
    | spl0_87
    | ~ spl0_46
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1520,f678,f446,f668,f673]) ).

fof(f446,plain,
    ( spl0_46
  <=> ! [X47] :
        ( ~ c3_1(X47)
        | c0_1(X47)
        | ~ c2_1(X47) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1520,plain,
    ( c0_1(a2455)
    | ~ c3_1(a2455)
    | ~ spl0_46
    | ~ spl0_89 ),
    inference(resolution,[],[f447,f680]) ).

fof(f447,plain,
    ( ! [X47] :
        ( ~ c2_1(X47)
        | c0_1(X47)
        | ~ c3_1(X47) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f1495,plain,
    ( ~ spl0_88
    | spl0_160
    | ~ spl0_37
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1490,f678,f400,f1066,f673]) ).

fof(f1490,plain,
    ( c1_1(a2455)
    | ~ c3_1(a2455)
    | ~ spl0_37
    | ~ spl0_89 ),
    inference(resolution,[],[f401,f680]) ).

fof(f1454,plain,
    ( ~ spl0_142
    | ~ spl0_143
    | ~ spl0_21
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f1453,f1433,f332,f966,f961]) ).

fof(f1453,plain,
    ( ~ c0_1(a2408)
    | ~ c3_1(a2408)
    | ~ spl0_21
    | ~ spl0_180 ),
    inference(resolution,[],[f1435,f333]) ).

fof(f1424,plain,
    ( ~ spl0_179
    | ~ spl0_140
    | ~ spl0_21
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1418,f945,f332,f950,f1420]) ).

fof(f1418,plain,
    ( ~ c0_1(a2410)
    | ~ c3_1(a2410)
    | ~ spl0_21
    | ~ spl0_139 ),
    inference(resolution,[],[f947,f333]) ).

fof(f1406,plain,
    ( spl0_171
    | spl0_156
    | ~ spl0_44
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1405,f1046,f436,f1036,f1218]) ).

fof(f1405,plain,
    ( c1_1(a2402)
    | c2_1(a2402)
    | ~ spl0_44
    | ~ spl0_158 ),
    inference(resolution,[],[f1048,f437]) ).

fof(f1386,plain,
    ( ~ spl0_69
    | ~ spl0_71
    | ~ spl0_19
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1383,f577,f324,f582,f572]) ).

fof(f1383,plain,
    ( ~ c0_1(a2409)
    | ~ c3_1(a2409)
    | ~ spl0_19
    | ~ spl0_70 ),
    inference(resolution,[],[f579,f325]) ).

fof(f1380,plain,
    ( spl0_96
    | spl0_97
    | ~ spl0_54
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1371,f1334,f487,f721,f716]) ).

fof(f1371,plain,
    ( c0_1(a2435)
    | c2_1(a2435)
    | ~ spl0_54
    | ~ spl0_176 ),
    inference(resolution,[],[f488,f1336]) ).

fof(f1336,plain,
    ( c1_1(a2435)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f1334]) ).

fof(f1376,plain,
    ( spl0_132
    | spl0_133
    | ~ spl0_54
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1367,f918,f487,f913,f908]) ).

fof(f913,plain,
    ( spl0_133
  <=> c0_1(a2412) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1367,plain,
    ( c0_1(a2412)
    | c2_1(a2412)
    | ~ spl0_54
    | ~ spl0_134 ),
    inference(resolution,[],[f488,f920]) ).

fof(f1364,plain,
    ( spl0_96
    | spl0_97
    | ~ spl0_53
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1357,f726,f482,f721,f716]) ).

fof(f482,plain,
    ( spl0_53
  <=> ! [X65] :
        ( ~ c3_1(X65)
        | c0_1(X65)
        | c2_1(X65) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1357,plain,
    ( c0_1(a2435)
    | c2_1(a2435)
    | ~ spl0_53
    | ~ spl0_98 ),
    inference(resolution,[],[f483,f728]) ).

fof(f483,plain,
    ( ! [X65] :
        ( ~ c3_1(X65)
        | c0_1(X65)
        | c2_1(X65) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f1350,plain,
    ( ~ spl0_159
    | spl0_82
    | ~ spl0_50
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1348,f646,f469,f641,f1059]) ).

fof(f1348,plain,
    ( c0_1(a2478)
    | ~ c1_1(a2478)
    | ~ spl0_50
    | ~ spl0_83 ),
    inference(resolution,[],[f470,f648]) ).

fof(f1337,plain,
    ( spl0_96
    | spl0_176
    | ~ spl0_43
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1332,f726,f430,f1334,f716]) ).

fof(f1332,plain,
    ( c1_1(a2435)
    | c2_1(a2435)
    | ~ spl0_43
    | ~ spl0_98 ),
    inference(resolution,[],[f728,f431]) ).

fof(f1330,plain,
    ( ~ spl0_100
    | spl0_175
    | ~ spl0_31
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1319,f742,f373,f1327,f737]) ).

fof(f1319,plain,
    ( c2_1(a2432)
    | ~ c3_1(a2432)
    | ~ spl0_31
    | ~ spl0_101 ),
    inference(resolution,[],[f374,f744]) ).

fof(f744,plain,
    ( c1_1(a2432)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f1324,plain,
    ( ~ spl0_112
    | spl0_111
    | ~ spl0_31
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1317,f806,f373,f796,f801]) ).

fof(f801,plain,
    ( spl0_112
  <=> c3_1(a2422) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f796,plain,
    ( spl0_111
  <=> c2_1(a2422) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f806,plain,
    ( spl0_113
  <=> c1_1(a2422) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1317,plain,
    ( c2_1(a2422)
    | ~ c3_1(a2422)
    | ~ spl0_31
    | ~ spl0_113 ),
    inference(resolution,[],[f374,f808]) ).

fof(f808,plain,
    ( c1_1(a2422)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f806]) ).

fof(f1323,plain,
    ( ~ spl0_164
    | spl0_132
    | ~ spl0_31
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1316,f918,f373,f908,f1129]) ).

fof(f1316,plain,
    ( c2_1(a2412)
    | ~ c3_1(a2412)
    | ~ spl0_31
    | ~ spl0_134 ),
    inference(resolution,[],[f374,f920]) ).

fof(f1311,plain,
    ( ~ spl0_100
    | spl0_99
    | ~ spl0_48
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1304,f742,f457,f732,f737]) ).

fof(f732,plain,
    ( spl0_99
  <=> c0_1(a2432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1304,plain,
    ( c0_1(a2432)
    | ~ c3_1(a2432)
    | ~ spl0_48
    | ~ spl0_101 ),
    inference(resolution,[],[f458,f744]) ).

fof(f1287,plain,
    ( spl0_109
    | spl0_174
    | ~ spl0_44
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1282,f790,f436,f1284,f785]) ).

fof(f1282,plain,
    ( c1_1(a2425)
    | c2_1(a2425)
    | ~ spl0_44
    | ~ spl0_110 ),
    inference(resolution,[],[f792,f437]) ).

fof(f1277,plain,
    ( ~ spl0_122
    | spl0_121
    | ~ spl0_46
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1271,f1224,f446,f849,f854]) ).

fof(f1271,plain,
    ( c0_1(a2417)
    | ~ c3_1(a2417)
    | ~ spl0_46
    | ~ spl0_172 ),
    inference(resolution,[],[f447,f1226]) ).

fof(f1226,plain,
    ( c2_1(a2417)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1224]) ).

fof(f1259,plain,
    ( ~ spl0_122
    | spl0_120
    | ~ spl0_37
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1253,f1224,f400,f844,f854]) ).

fof(f1253,plain,
    ( c1_1(a2417)
    | ~ c3_1(a2417)
    | ~ spl0_37
    | ~ spl0_172 ),
    inference(resolution,[],[f401,f1226]) ).

fof(f1242,plain,
    ( ~ spl0_173
    | ~ spl0_95
    | ~ spl0_19
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1235,f705,f324,f710,f1239]) ).

fof(f1235,plain,
    ( ~ c0_1(a2437)
    | ~ c3_1(a2437)
    | ~ spl0_19
    | ~ spl0_94 ),
    inference(resolution,[],[f707,f325]) ).

fof(f1234,plain,
    ( ~ spl0_157
    | ~ spl0_158
    | ~ spl0_19
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1231,f1218,f324,f1046,f1041]) ).

fof(f1231,plain,
    ( ~ c0_1(a2402)
    | ~ c3_1(a2402)
    | ~ spl0_19
    | ~ spl0_171 ),
    inference(resolution,[],[f1220,f325]) ).

fof(f1227,plain,
    ( spl0_172
    | spl0_120
    | ~ spl0_43
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1213,f854,f430,f844,f1224]) ).

fof(f1213,plain,
    ( c1_1(a2417)
    | c2_1(a2417)
    | ~ spl0_43
    | ~ spl0_122 ),
    inference(resolution,[],[f431,f856]) ).

fof(f1222,plain,
    ( spl0_123
    | spl0_124
    | ~ spl0_43
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1212,f870,f430,f865,f860]) ).

fof(f860,plain,
    ( spl0_123
  <=> c2_1(a2416) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f865,plain,
    ( spl0_124
  <=> c1_1(a2416) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f870,plain,
    ( spl0_125
  <=> c3_1(a2416) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1212,plain,
    ( c1_1(a2416)
    | c2_1(a2416)
    | ~ spl0_43
    | ~ spl0_125 ),
    inference(resolution,[],[f431,f872]) ).

fof(f872,plain,
    ( c3_1(a2416)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f1221,plain,
    ( spl0_171
    | spl0_156
    | ~ spl0_43
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1210,f1041,f430,f1036,f1218]) ).

fof(f1210,plain,
    ( c1_1(a2402)
    | c2_1(a2402)
    | ~ spl0_43
    | ~ spl0_157 ),
    inference(resolution,[],[f431,f1043]) ).

fof(f1043,plain,
    ( c3_1(a2402)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1041]) ).

fof(f1208,plain,
    ( ~ spl0_170
    | ~ spl0_149
    | ~ spl0_24
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1202,f993,f344,f998,f1205]) ).

fof(f1202,plain,
    ( ~ c0_1(a2405)
    | ~ c1_1(a2405)
    | ~ spl0_24
    | ~ spl0_148 ),
    inference(resolution,[],[f995,f345]) ).

fof(f1197,plain,
    ( spl0_169
    | spl0_129
    | ~ spl0_39
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1192,f902,f410,f892,f1174]) ).

fof(f1192,plain,
    ( c1_1(a2413)
    | c3_1(a2413)
    | ~ spl0_39
    | ~ spl0_131 ),
    inference(resolution,[],[f411,f904]) ).

fof(f1177,plain,
    ( ~ spl0_169
    | spl0_129
    | ~ spl0_37
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1168,f902,f400,f892,f1174]) ).

fof(f1168,plain,
    ( c1_1(a2413)
    | ~ c3_1(a2413)
    | ~ spl0_37
    | ~ spl0_131 ),
    inference(resolution,[],[f401,f904]) ).

fof(f1167,plain,
    ( spl0_126
    | spl0_168
    | ~ spl0_36
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1162,f886,f396,f1164,f876]) ).

fof(f1162,plain,
    ( c2_1(a2414)
    | c3_1(a2414)
    | ~ spl0_36
    | ~ spl0_128 ),
    inference(resolution,[],[f397,f888]) ).

fof(f1159,plain,
    ( ~ spl0_167
    | spl0_153
    | ~ spl0_29
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1152,f1030,f364,f1020,f1155]) ).

fof(f364,plain,
    ( spl0_29
  <=> ! [X8] :
        ( ~ c1_1(X8)
        | c3_1(X8)
        | ~ c0_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1152,plain,
    ( c3_1(a2403)
    | ~ c0_1(a2403)
    | ~ spl0_29
    | ~ spl0_155 ),
    inference(resolution,[],[f1032,f365]) ).

fof(f365,plain,
    ( ! [X8] :
        ( ~ c1_1(X8)
        | c3_1(X8)
        | ~ c0_1(X8) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f1142,plain,
    ( spl0_78
    | spl0_166
    | ~ spl0_34
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1127,f625,f387,f1139,f620]) ).

fof(f620,plain,
    ( spl0_78
  <=> c3_1(a2484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1127,plain,
    ( c2_1(a2484)
    | c3_1(a2484)
    | ~ spl0_34
    | ~ spl0_79 ),
    inference(resolution,[],[f388,f627]) ).

fof(f627,plain,
    ( c1_1(a2484)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f1110,plain,
    ( ~ spl0_80
    | spl0_78
    | ~ spl0_29
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1109,f625,f364,f620,f630]) ).

fof(f1109,plain,
    ( c3_1(a2484)
    | ~ c0_1(a2484)
    | ~ spl0_29
    | ~ spl0_79 ),
    inference(resolution,[],[f365,f627]) ).

fof(f1084,plain,
    ( ~ spl0_116
    | spl0_114
    | ~ spl0_26
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1080,f817,f352,f812,f822]) ).

fof(f812,plain,
    ( spl0_114
  <=> c3_1(a2420) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f352,plain,
    ( spl0_26
  <=> ! [X5] :
        ( ~ c2_1(X5)
        | c3_1(X5)
        | ~ c1_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1080,plain,
    ( c3_1(a2420)
    | ~ c1_1(a2420)
    | ~ spl0_26
    | ~ spl0_115 ),
    inference(resolution,[],[f353,f819]) ).

fof(f353,plain,
    ( ! [X5] :
        ( ~ c2_1(X5)
        | c3_1(X5)
        | ~ c1_1(X5) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f1069,plain,
    ( ~ spl0_88
    | ~ spl0_160
    | ~ spl0_15
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1064,f678,f307,f1066,f673]) ).

fof(f1064,plain,
    ( ~ c1_1(a2455)
    | ~ c3_1(a2455)
    | ~ spl0_15
    | ~ spl0_89 ),
    inference(resolution,[],[f680,f308]) ).

fof(f1049,plain,
    ( ~ spl0_18
    | spl0_158 ),
    inference(avatar_split_clause,[],[f8,f1046,f319]) ).

fof(f319,plain,
    ( spl0_18
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f8,plain,
    ( c0_1(a2402)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp7
      | hskp9
      | hskp8 )
    & ( hskp25
      | hskp19
      | hskp5 )
    & ( hskp18
      | hskp5
      | hskp3 )
    & ( hskp11
      | hskp8
      | hskp26 )
    & ( hskp19
      | hskp26
      | hskp30 )
    & ( hskp27
      | hskp25
      | hskp31 )
    & ( hskp11
      | hskp15
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp21
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp20
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp14
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp3
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp6
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp6
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c2_1(X9)
          | ~ c1_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp30
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp25
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp19
      | ! [X14] :
          ( ~ c1_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp5
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp6
      | ! [X16] :
          ( ~ c1_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp30
      | ! [X17] :
          ( ~ c1_1(X17)
          | c3_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp5
      | ! [X18] :
          ( ~ c0_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp15
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp21
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( ! [X21] :
          ( ~ c3_1(X21)
          | ~ c1_1(X21)
          | ~ c0_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c0_1(X22)
          | c3_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c2_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( ~ c3_1(X24)
          | ~ c2_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c1_1(X25)
          | c3_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c2_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp16
      | ! [X27] :
          ( ~ c2_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp0
      | ! [X28] :
          ( ~ c2_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X29] :
          ( ~ c1_1(X29)
          | ~ c0_1(X29)
          | c3_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c2_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X31] :
          ( ~ c1_1(X31)
          | ~ c0_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c2_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X33] :
          ( ~ c2_1(X33)
          | ~ c0_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c2_1(X34)
          | c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( ~ c3_1(X35)
          | ~ c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c1_1(X36)
          | ~ c0_1(X36)
          | c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c0_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp10
      | ! [X38] :
          ( ~ c3_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X39] :
          ( ~ c1_1(X39)
          | c3_1(X39)
          | c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c3_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp5
      | ! [X43] :
          ( ~ c0_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp30
      | ! [X44] :
          ( ~ c0_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X45] :
          ( ~ c0_1(X45)
          | c3_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c2_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp28
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp6
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp7
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp1
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c1_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp21
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X55] :
          ( ~ c2_1(X55)
          | ~ c0_1(X55)
          | c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c1_1(X57)
          | c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp12
      | ! [X59] :
          ( ~ c2_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X60] :
          ( ~ c0_1(X60)
          | c3_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c2_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X62] :
          ( ~ c3_1(X62)
          | c2_1(X62)
          | c1_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c1_1(X63)
          | c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c1_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c3_1(X65)
          | c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X66] :
          ( ~ c2_1(X66)
          | ~ c0_1(X66)
          | c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c3_1(X67)
          | c2_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp17
      | ! [X68] :
          ( ~ c1_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp16
      | ! [X69] :
          ( ~ c1_1(X69)
          | c2_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp29
      | ! [X70] :
          ( ~ c1_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X71] :
          ( ~ c2_1(X71)
          | ~ c1_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c1_1(X72)
          | c2_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( ~ c1_1(X73)
          | ~ c0_1(X73)
          | c2_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c0_1(X74)
          | c2_1(X74)
          | c1_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp14
      | ! [X76] :
          ( c3_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp13
      | ! [X77] :
          ( c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( ! [X78] :
          ( ~ c3_1(X78)
          | ~ c1_1(X78)
          | c2_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c2_1(X79)
          | ~ c1_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c3_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X81] :
          ( ~ c3_1(X81)
          | c1_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp6
      | ! [X82] :
          ( ~ c3_1(X82)
          | c1_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X83] :
          ( ~ c3_1(X83)
          | ~ c2_1(X83)
          | c1_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c3_1(X84)
          | c1_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( ! [X85] :
          ( ~ c3_1(X85)
          | ~ c2_1(X85)
          | ~ c1_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c3_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c3_1(X87)
          | c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp8
      | ! [X88] :
          ( ~ c2_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp6
      | ! [X89] :
          ( ~ c2_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X90] :
          ( ~ c3_1(X90)
          | ~ c0_1(X90)
          | c1_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c2_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X92] :
          ( ~ c3_1(X92)
          | ~ c2_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c2_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X94] :
          ( ~ c3_1(X94)
          | ~ c1_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c2_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp3
      | ! [X96] :
          ( c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X97] :
          ( ~ c2_1(X97)
          | ~ c1_1(X97)
          | ~ c0_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c3_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( ! [X99] :
          ( ~ c3_1(X99)
          | ~ c1_1(X99)
          | c2_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c1_1(X100)
          | c3_1(X100)
          | c2_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c2_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( ~ c3_1(X102)
          | ~ c1_1(X102)
          | c2_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c0_1(X103)
          | c3_1(X103)
          | c2_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X105] :
          ( ~ c3_1(X105)
          | ~ c2_1(X105)
          | c1_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X107] :
          ( ~ c3_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c2_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( ! [X109] :
          ( ~ c2_1(X109)
          | ~ c0_1(X109)
          | c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c2_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c2_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a2498)
        & c1_1(a2498)
        & c0_1(a2498)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a2450)
        & c1_1(a2450)
        & c0_1(a2450)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a2409)
        & c2_1(a2409)
        & c0_1(a2409)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a2406)
        & c2_1(a2406)
        & c1_1(a2406)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a2500)
        & ~ c1_1(a2500)
        & ~ c0_1(a2500)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a2484)
        & c1_1(a2484)
        & c0_1(a2484)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a2478)
        & ~ c0_1(a2478)
        & c2_1(a2478)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a2468)
        & ~ c0_1(a2468)
        & c1_1(a2468)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a2455)
        & c3_1(a2455)
        & c2_1(a2455)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a2453)
        & ~ c1_1(a2453)
        & ~ c0_1(a2453)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a2437)
        & c2_1(a2437)
        & c0_1(a2437)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a2435)
        & ~ c0_1(a2435)
        & c3_1(a2435)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a2432)
        & c3_1(a2432)
        & c1_1(a2432)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a2428)
        & ~ c2_1(a2428)
        & ~ c0_1(a2428)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a2427)
        & c3_1(a2427)
        & c2_1(a2427)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2425)
        & ~ c2_1(a2425)
        & c0_1(a2425)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a2422)
        & c3_1(a2422)
        & c1_1(a2422)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a2420)
        & c2_1(a2420)
        & c1_1(a2420)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c0_1(a2418)
        & c2_1(a2418)
        & c1_1(a2418)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c1_1(a2417)
        & ~ c0_1(a2417)
        & c3_1(a2417)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a2416)
        & ~ c1_1(a2416)
        & c3_1(a2416)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a2414)
        & ~ c1_1(a2414)
        & c0_1(a2414)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a2413)
        & ~ c0_1(a2413)
        & c2_1(a2413)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a2412)
        & ~ c0_1(a2412)
        & c1_1(a2412)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a2411)
        & ~ c1_1(a2411)
        & c2_1(a2411)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a2410)
        & c1_1(a2410)
        & c0_1(a2410)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a2408)
        & c3_1(a2408)
        & c0_1(a2408)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a2407)
        & ~ c1_1(a2407)
        & c0_1(a2407)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2405)
        & c2_1(a2405)
        & c0_1(a2405)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2404)
        & ~ c2_1(a2404)
        & ~ c1_1(a2404)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2403)
        & ~ c2_1(a2403)
        & c1_1(a2403)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a2402)
        & c3_1(a2402)
        & c0_1(a2402)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp7
      | hskp9
      | hskp8 )
    & ( hskp25
      | hskp19
      | hskp5 )
    & ( hskp18
      | hskp5
      | hskp3 )
    & ( hskp11
      | hskp8
      | hskp26 )
    & ( hskp19
      | hskp26
      | hskp30 )
    & ( hskp27
      | hskp25
      | hskp31 )
    & ( hskp11
      | hskp15
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp21
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp20
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp14
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp3
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp6
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp6
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c2_1(X9)
          | ~ c1_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp30
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp25
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp19
      | ! [X14] :
          ( ~ c1_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp5
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp6
      | ! [X16] :
          ( ~ c1_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp30
      | ! [X17] :
          ( ~ c1_1(X17)
          | c3_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp5
      | ! [X18] :
          ( ~ c0_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp15
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp21
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( ! [X21] :
          ( ~ c3_1(X21)
          | ~ c1_1(X21)
          | ~ c0_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c0_1(X22)
          | c3_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c2_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( ~ c3_1(X24)
          | ~ c2_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c1_1(X25)
          | c3_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c2_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp16
      | ! [X27] :
          ( ~ c2_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp0
      | ! [X28] :
          ( ~ c2_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X29] :
          ( ~ c1_1(X29)
          | ~ c0_1(X29)
          | c3_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c2_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X31] :
          ( ~ c1_1(X31)
          | ~ c0_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c2_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X33] :
          ( ~ c2_1(X33)
          | ~ c0_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c2_1(X34)
          | c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( ~ c3_1(X35)
          | ~ c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c1_1(X36)
          | ~ c0_1(X36)
          | c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c0_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp10
      | ! [X38] :
          ( ~ c3_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X39] :
          ( ~ c1_1(X39)
          | c3_1(X39)
          | c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c3_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp5
      | ! [X43] :
          ( ~ c0_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp30
      | ! [X44] :
          ( ~ c0_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X45] :
          ( ~ c0_1(X45)
          | c3_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c2_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp28
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp6
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp7
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp1
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c1_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp21
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X55] :
          ( ~ c2_1(X55)
          | ~ c0_1(X55)
          | c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c1_1(X57)
          | c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp12
      | ! [X59] :
          ( ~ c2_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X60] :
          ( ~ c0_1(X60)
          | c3_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c2_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X62] :
          ( ~ c3_1(X62)
          | c2_1(X62)
          | c1_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c1_1(X63)
          | c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c1_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c3_1(X65)
          | c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X66] :
          ( ~ c2_1(X66)
          | ~ c0_1(X66)
          | c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c3_1(X67)
          | c2_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp17
      | ! [X68] :
          ( ~ c1_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp16
      | ! [X69] :
          ( ~ c1_1(X69)
          | c2_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp29
      | ! [X70] :
          ( ~ c1_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X71] :
          ( ~ c2_1(X71)
          | ~ c1_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c1_1(X72)
          | c2_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( ~ c1_1(X73)
          | ~ c0_1(X73)
          | c2_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c0_1(X74)
          | c2_1(X74)
          | c1_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp14
      | ! [X76] :
          ( c3_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp13
      | ! [X77] :
          ( c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( ! [X78] :
          ( ~ c3_1(X78)
          | ~ c1_1(X78)
          | c2_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c2_1(X79)
          | ~ c1_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c3_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X81] :
          ( ~ c3_1(X81)
          | c1_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp6
      | ! [X82] :
          ( ~ c3_1(X82)
          | c1_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X83] :
          ( ~ c3_1(X83)
          | ~ c2_1(X83)
          | c1_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c3_1(X84)
          | c1_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( ! [X85] :
          ( ~ c3_1(X85)
          | ~ c2_1(X85)
          | ~ c1_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c3_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c3_1(X87)
          | c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp8
      | ! [X88] :
          ( ~ c2_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp6
      | ! [X89] :
          ( ~ c2_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X90] :
          ( ~ c3_1(X90)
          | ~ c0_1(X90)
          | c1_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c2_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X92] :
          ( ~ c3_1(X92)
          | ~ c2_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c2_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X94] :
          ( ~ c3_1(X94)
          | ~ c1_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c2_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp3
      | ! [X96] :
          ( c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X97] :
          ( ~ c2_1(X97)
          | ~ c1_1(X97)
          | ~ c0_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c3_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( ! [X99] :
          ( ~ c3_1(X99)
          | ~ c1_1(X99)
          | c2_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c1_1(X100)
          | c3_1(X100)
          | c2_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c2_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( ~ c3_1(X102)
          | ~ c1_1(X102)
          | c2_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c0_1(X103)
          | c3_1(X103)
          | c2_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X105] :
          ( ~ c3_1(X105)
          | ~ c2_1(X105)
          | c1_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X107] :
          ( ~ c3_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c2_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( ! [X109] :
          ( ~ c2_1(X109)
          | ~ c0_1(X109)
          | c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c2_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c2_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a2498)
        & c1_1(a2498)
        & c0_1(a2498)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a2450)
        & c1_1(a2450)
        & c0_1(a2450)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a2409)
        & c2_1(a2409)
        & c0_1(a2409)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a2406)
        & c2_1(a2406)
        & c1_1(a2406)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a2500)
        & ~ c1_1(a2500)
        & ~ c0_1(a2500)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a2484)
        & c1_1(a2484)
        & c0_1(a2484)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a2478)
        & ~ c0_1(a2478)
        & c2_1(a2478)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a2468)
        & ~ c0_1(a2468)
        & c1_1(a2468)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a2455)
        & c3_1(a2455)
        & c2_1(a2455)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a2453)
        & ~ c1_1(a2453)
        & ~ c0_1(a2453)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a2437)
        & c2_1(a2437)
        & c0_1(a2437)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a2435)
        & ~ c0_1(a2435)
        & c3_1(a2435)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a2432)
        & c3_1(a2432)
        & c1_1(a2432)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a2428)
        & ~ c2_1(a2428)
        & ~ c0_1(a2428)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a2427)
        & c3_1(a2427)
        & c2_1(a2427)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2425)
        & ~ c2_1(a2425)
        & c0_1(a2425)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a2422)
        & c3_1(a2422)
        & c1_1(a2422)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a2420)
        & c2_1(a2420)
        & c1_1(a2420)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c0_1(a2418)
        & c2_1(a2418)
        & c1_1(a2418)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c1_1(a2417)
        & ~ c0_1(a2417)
        & c3_1(a2417)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a2416)
        & ~ c1_1(a2416)
        & c3_1(a2416)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a2414)
        & ~ c1_1(a2414)
        & c0_1(a2414)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a2413)
        & ~ c0_1(a2413)
        & c2_1(a2413)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a2412)
        & ~ c0_1(a2412)
        & c1_1(a2412)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a2411)
        & ~ c1_1(a2411)
        & c2_1(a2411)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a2410)
        & c1_1(a2410)
        & c0_1(a2410)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a2408)
        & c3_1(a2408)
        & c0_1(a2408)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a2407)
        & ~ c1_1(a2407)
        & c0_1(a2407)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2405)
        & c2_1(a2405)
        & c0_1(a2405)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2404)
        & ~ c2_1(a2404)
        & ~ c1_1(a2404)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2403)
        & ~ c2_1(a2403)
        & c1_1(a2403)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a2402)
        & c3_1(a2402)
        & c0_1(a2402)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp7
      | hskp9
      | hskp8 )
    & ( hskp25
      | hskp19
      | hskp5 )
    & ( hskp18
      | hskp5
      | hskp3 )
    & ( hskp11
      | hskp8
      | hskp26 )
    & ( hskp19
      | hskp26
      | hskp30 )
    & ( hskp27
      | hskp25
      | hskp31 )
    & ( hskp11
      | hskp15
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp0
      | hskp21
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c1_1(X1) ) ) )
    & ( hskp18
      | hskp20
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp23
      | hskp14
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp24
      | hskp3
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | ~ c0_1(X4) ) ) )
    & ( hskp23
      | hskp6
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c1_1(X5)
            | c3_1(X5) ) ) )
    & ( hskp20
      | ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | ~ c1_1(X6)
            | ~ c0_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c0_1(X7)
            | c3_1(X7) ) ) )
    & ( hskp26
      | hskp6
      | ! [X8] :
          ( ndr1_0
         => ( ~ c1_1(X8)
            | ~ c0_1(X8)
            | c3_1(X8) ) ) )
    & ( hskp10
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c2_1(X9)
            | ~ c1_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c1_1(X10)
            | ~ c0_1(X10)
            | c3_1(X10) ) ) )
    & ( hskp30
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | ~ c0_1(X11)
            | c3_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c1_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp7
      | hskp25
      | ! [X13] :
          ( ndr1_0
         => ( ~ c1_1(X13)
            | ~ c0_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp25
      | hskp19
      | ! [X14] :
          ( ndr1_0
         => ( ~ c1_1(X14)
            | ~ c0_1(X14)
            | c2_1(X14) ) ) )
    & ( hskp1
      | hskp5
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | ~ c0_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp1
      | hskp6
      | ! [X16] :
          ( ndr1_0
         => ( ~ c1_1(X16)
            | c3_1(X16)
            | c2_1(X16) ) ) )
    & ( hskp2
      | hskp30
      | ! [X17] :
          ( ndr1_0
         => ( ~ c1_1(X17)
            | c3_1(X17)
            | c2_1(X17) ) ) )
    & ( hskp19
      | hskp5
      | ! [X18] :
          ( ndr1_0
         => ( ~ c0_1(X18)
            | c3_1(X18)
            | c2_1(X18) ) ) )
    & ( hskp24
      | hskp15
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c2_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp11
      | hskp21
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c2_1(X20)
            | c1_1(X20) ) ) )
    & ( ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c1_1(X21)
            | ~ c0_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c0_1(X22)
            | c3_1(X22)
            | c2_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c2_1(X23)
            | c1_1(X23) ) ) )
    & ( ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c2_1(X24)
            | ~ c0_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | c3_1(X25)
            | c2_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | ~ c0_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp12
      | hskp16
      | ! [X27] :
          ( ndr1_0
         => ( ~ c2_1(X27)
            | c3_1(X27)
            | c1_1(X27) ) ) )
    & ( hskp9
      | hskp0
      | ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | c3_1(X28)
            | c1_1(X28) ) ) )
    & ( hskp14
      | ! [X29] :
          ( ndr1_0
         => ( ~ c1_1(X29)
            | ~ c0_1(X29)
            | c3_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | c3_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp2
      | ! [X31] :
          ( ndr1_0
         => ( ~ c1_1(X31)
            | ~ c0_1(X31)
            | c2_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c2_1(X32)
            | c3_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp3
      | ! [X33] :
          ( ndr1_0
         => ( ~ c2_1(X33)
            | ~ c0_1(X33)
            | c1_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c2_1(X34)
            | c3_1(X34)
            | c1_1(X34) ) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c2_1(X35)
            | ~ c1_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c1_1(X36)
            | ~ c0_1(X36)
            | c3_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c0_1(X37)
            | c3_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp16
      | hskp10
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | c2_1(X38)
            | c1_1(X38) ) ) )
    & ( hskp23
      | ! [X39] :
          ( ndr1_0
         => ( ~ c1_1(X39)
            | c3_1(X39)
            | c2_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) ) )
    & ( hskp1
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c2_1(X41)
            | c1_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | c2_1(X42)
            | c1_1(X42) ) ) )
    & ( hskp22
      | hskp5
      | ! [X43] :
          ( ndr1_0
         => ( ~ c0_1(X43)
            | c2_1(X43)
            | c1_1(X43) ) ) )
    & ( hskp21
      | hskp30
      | ! [X44] :
          ( ndr1_0
         => ( ~ c0_1(X44)
            | c2_1(X44)
            | c1_1(X44) ) ) )
    & ( hskp10
      | ! [X45] :
          ( ndr1_0
         => ( ~ c0_1(X45)
            | c3_1(X45)
            | c1_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c0_1(X46)
            | c2_1(X46)
            | c1_1(X46) ) ) )
    & ( hskp15
      | ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | ~ c2_1(X47)
            | c0_1(X47) ) ) )
    & ( hskp9
      | hskp28
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c2_1(X48)
            | c0_1(X48) ) ) )
    & ( hskp21
      | hskp6
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c2_1(X49)
            | c0_1(X49) ) ) )
    & ( hskp2
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | ~ c2_1(X50)
            | c1_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c2_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp20
      | hskp7
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c1_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp9
      | hskp1
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c1_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp17
      | hskp21
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c1_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp7
      | ! [X55] :
          ( ndr1_0
         => ( ~ c2_1(X55)
            | ~ c0_1(X55)
            | c3_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp20
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c1_1(X57)
            | c2_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c1_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp11
      | hskp12
      | ! [X59] :
          ( ndr1_0
         => ( ~ c2_1(X59)
            | ~ c1_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp19
      | ! [X60] :
          ( ndr1_0
         => ( ~ c0_1(X60)
            | c3_1(X60)
            | c1_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | ~ c1_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp4
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | c2_1(X62)
            | c1_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c1_1(X63)
            | c3_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp12
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | ~ c1_1(X64)
            | ~ c0_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | c2_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp2
      | ! [X66] :
          ( ndr1_0
         => ( ~ c2_1(X66)
            | ~ c0_1(X66)
            | c3_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c3_1(X67)
            | c2_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp18
      | hskp17
      | ! [X68] :
          ( ndr1_0
         => ( ~ c1_1(X68)
            | c2_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp13
      | hskp16
      | ! [X69] :
          ( ndr1_0
         => ( ~ c1_1(X69)
            | c2_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp0
      | hskp29
      | ! [X70] :
          ( ndr1_0
         => ( ~ c1_1(X70)
            | c2_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp15
      | ! [X71] :
          ( ndr1_0
         => ( ~ c2_1(X71)
            | ~ c1_1(X71)
            | ~ c0_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c1_1(X72)
            | c2_1(X72)
            | c0_1(X72) ) ) )
    & ( ! [X73] :
          ( ndr1_0
         => ( ~ c1_1(X73)
            | ~ c0_1(X73)
            | c2_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c0_1(X74)
            | c2_1(X74)
            | c1_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | c2_1(X75)
            | c0_1(X75) ) ) )
    & ( hskp1
      | hskp14
      | ! [X76] :
          ( ndr1_0
         => ( c3_1(X76)
            | c2_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp1
      | hskp13
      | ! [X77] :
          ( ndr1_0
         => ( c3_1(X77)
            | c2_1(X77)
            | c0_1(X77) ) ) )
    & ( ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | ~ c1_1(X78)
            | c2_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c2_1(X79)
            | ~ c1_1(X79)
            | c0_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( c3_1(X80)
            | c2_1(X80)
            | c0_1(X80) ) ) )
    & ( hskp12
      | ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | c1_1(X81)
            | c0_1(X81) ) ) )
    & ( hskp11
      | hskp6
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | c1_1(X82)
            | c0_1(X82) ) ) )
    & ( hskp10
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | ~ c2_1(X83)
            | c1_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | c1_1(X84)
            | c0_1(X84) ) ) )
    & ( ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | ~ c2_1(X85)
            | ~ c1_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c3_1(X86)
            | c2_1(X86)
            | c0_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | c1_1(X87)
            | c0_1(X87) ) ) )
    & ( hskp9
      | hskp8
      | ! [X88] :
          ( ndr1_0
         => ( ~ c2_1(X88)
            | c1_1(X88)
            | c0_1(X88) ) ) )
    & ( hskp7
      | hskp6
      | ! [X89] :
          ( ndr1_0
         => ( ~ c2_1(X89)
            | c1_1(X89)
            | c0_1(X89) ) ) )
    & ( hskp29
      | ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | ~ c0_1(X90)
            | c1_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c2_1(X91)
            | c1_1(X91)
            | c0_1(X91) ) ) )
    & ( hskp5
      | ! [X92] :
          ( ndr1_0
         => ( ~ c3_1(X92)
            | ~ c2_1(X92)
            | c0_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c2_1(X93)
            | c1_1(X93)
            | c0_1(X93) ) ) )
    & ( hskp4
      | ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | ~ c1_1(X94)
            | c0_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( ~ c2_1(X95)
            | c1_1(X95)
            | c0_1(X95) ) ) )
    & ( hskp28
      | hskp3
      | ! [X96] :
          ( ndr1_0
         => ( c3_1(X96)
            | c1_1(X96)
            | c0_1(X96) ) ) )
    & ( hskp2
      | ! [X97] :
          ( ndr1_0
         => ( ~ c2_1(X97)
            | ~ c1_1(X97)
            | ~ c0_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( c3_1(X98)
            | c1_1(X98)
            | c0_1(X98) ) ) )
    & ( ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | ~ c1_1(X99)
            | c2_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c1_1(X100)
            | c3_1(X100)
            | c2_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( c2_1(X101)
            | c1_1(X101)
            | c0_1(X101) ) ) )
    & ( ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | ~ c1_1(X102)
            | c2_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c0_1(X103)
            | c3_1(X103)
            | c2_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( c2_1(X104)
            | c1_1(X104)
            | c0_1(X104) ) ) )
    & ( hskp1
      | ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | ~ c2_1(X105)
            | c1_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( c2_1(X106)
            | c1_1(X106)
            | c0_1(X106) ) ) )
    & ( hskp0
      | ! [X107] :
          ( ndr1_0
         => ( ~ c3_1(X107)
            | c1_1(X107)
            | c0_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( c2_1(X108)
            | c1_1(X108)
            | c0_1(X108) ) ) )
    & ( ! [X109] :
          ( ndr1_0
         => ( ~ c2_1(X109)
            | ~ c0_1(X109)
            | c1_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( ~ c2_1(X110)
            | c1_1(X110)
            | c0_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( c2_1(X111)
            | c1_1(X111)
            | c0_1(X111) ) ) )
    & ( ( c2_1(a2498)
        & c1_1(a2498)
        & c0_1(a2498)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a2450)
        & c1_1(a2450)
        & c0_1(a2450)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a2409)
        & c2_1(a2409)
        & c0_1(a2409)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a2406)
        & c2_1(a2406)
        & c1_1(a2406)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a2500)
        & ~ c1_1(a2500)
        & ~ c0_1(a2500)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a2484)
        & c1_1(a2484)
        & c0_1(a2484)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a2478)
        & ~ c0_1(a2478)
        & c2_1(a2478)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a2468)
        & ~ c0_1(a2468)
        & c1_1(a2468)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a2455)
        & c3_1(a2455)
        & c2_1(a2455)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a2453)
        & ~ c1_1(a2453)
        & ~ c0_1(a2453)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a2437)
        & c2_1(a2437)
        & c0_1(a2437)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a2435)
        & ~ c0_1(a2435)
        & c3_1(a2435)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a2432)
        & c3_1(a2432)
        & c1_1(a2432)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a2428)
        & ~ c2_1(a2428)
        & ~ c0_1(a2428)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a2427)
        & c3_1(a2427)
        & c2_1(a2427)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2425)
        & ~ c2_1(a2425)
        & c0_1(a2425)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a2422)
        & c3_1(a2422)
        & c1_1(a2422)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a2420)
        & c2_1(a2420)
        & c1_1(a2420)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c0_1(a2418)
        & c2_1(a2418)
        & c1_1(a2418)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c1_1(a2417)
        & ~ c0_1(a2417)
        & c3_1(a2417)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a2416)
        & ~ c1_1(a2416)
        & c3_1(a2416)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a2414)
        & ~ c1_1(a2414)
        & c0_1(a2414)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a2413)
        & ~ c0_1(a2413)
        & c2_1(a2413)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a2412)
        & ~ c0_1(a2412)
        & c1_1(a2412)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a2411)
        & ~ c1_1(a2411)
        & c2_1(a2411)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a2410)
        & c1_1(a2410)
        & c0_1(a2410)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a2408)
        & c3_1(a2408)
        & c0_1(a2408)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a2407)
        & ~ c1_1(a2407)
        & c0_1(a2407)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2405)
        & c2_1(a2405)
        & c0_1(a2405)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2404)
        & ~ c2_1(a2404)
        & ~ c1_1(a2404)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2403)
        & ~ c2_1(a2403)
        & c1_1(a2403)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a2402)
        & c3_1(a2402)
        & c0_1(a2402)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp7
          | hskp9
          | hskp8 )
        & ( hskp25
          | hskp19
          | hskp5 )
        & ( hskp18
          | hskp5
          | hskp3 )
        & ( hskp11
          | hskp8
          | hskp26 )
        & ( hskp19
          | hskp26
          | hskp30 )
        & ( hskp27
          | hskp25
          | hskp31 )
        & ( hskp11
          | hskp15
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp0
          | hskp21
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c1_1(X1) ) ) )
        & ( hskp18
          | hskp20
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp23
          | hskp14
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp24
          | hskp3
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | ~ c0_1(X4) ) ) )
        & ( hskp23
          | hskp6
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c1_1(X5)
                | c3_1(X5) ) ) )
        & ( hskp20
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c1_1(X6)
                | ~ c0_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c0_1(X7)
                | c3_1(X7) ) ) )
        & ( hskp26
          | hskp6
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | ~ c0_1(X8)
                | c3_1(X8) ) ) )
        & ( hskp10
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c2_1(X9)
                | ~ c1_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | ~ c0_1(X10)
                | c3_1(X10) ) ) )
        & ( hskp30
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c3_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c1_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp7
          | hskp25
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | ~ c0_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp25
          | hskp19
          | ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | ~ c0_1(X14)
                | c2_1(X14) ) ) )
        & ( hskp1
          | hskp5
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | ~ c0_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp1
          | hskp6
          | ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) ) )
        & ( hskp2
          | hskp30
          | ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | c3_1(X17)
                | c2_1(X17) ) ) )
        & ( hskp19
          | hskp5
          | ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | c3_1(X18)
                | c2_1(X18) ) ) )
        & ( hskp24
          | hskp15
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c2_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp11
          | hskp21
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c2_1(X20)
                | c1_1(X20) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c1_1(X21)
                | ~ c0_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c0_1(X22)
                | c3_1(X22)
                | c2_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c2_1(X23)
                | c1_1(X23) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c2_1(X24)
                | ~ c0_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c3_1(X25)
                | c2_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | ~ c0_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp12
          | hskp16
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | c3_1(X27)
                | c1_1(X27) ) ) )
        & ( hskp9
          | hskp0
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | c3_1(X28)
                | c1_1(X28) ) ) )
        & ( hskp14
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | ~ c0_1(X29)
                | c3_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | c3_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp2
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | ~ c0_1(X31)
                | c2_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | c3_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp3
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | ~ c0_1(X33)
                | c1_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | c3_1(X34)
                | c1_1(X34) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c2_1(X35)
                | ~ c1_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | ~ c0_1(X36)
                | c3_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c0_1(X37)
                | c3_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp16
          | hskp10
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c2_1(X38)
                | c1_1(X38) ) ) )
        & ( hskp23
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c3_1(X39)
                | c2_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) ) )
        & ( hskp1
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | c1_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | c2_1(X42)
                | c1_1(X42) ) ) )
        & ( hskp22
          | hskp5
          | ! [X43] :
              ( ndr1_0
             => ( ~ c0_1(X43)
                | c2_1(X43)
                | c1_1(X43) ) ) )
        & ( hskp21
          | hskp30
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | c2_1(X44)
                | c1_1(X44) ) ) )
        & ( hskp10
          | ! [X45] :
              ( ndr1_0
             => ( ~ c0_1(X45)
                | c3_1(X45)
                | c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) ) )
        & ( hskp15
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c2_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp9
          | hskp28
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c2_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp21
          | hskp6
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c2_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp2
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c2_1(X50)
                | c1_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp20
          | hskp7
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c1_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp9
          | hskp1
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c1_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp17
          | hskp21
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp7
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c0_1(X55)
                | c3_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp20
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c1_1(X57)
                | c2_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp11
          | hskp12
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp19
          | ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | c3_1(X60)
                | c1_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp4
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | c2_1(X62)
                | c1_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | c3_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp12
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | ~ c0_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | c2_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp2
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | ~ c0_1(X66)
                | c3_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | c2_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp18
          | hskp17
          | ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | c2_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp13
          | hskp16
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | c2_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp0
          | hskp29
          | ! [X70] :
              ( ndr1_0
             => ( ~ c1_1(X70)
                | c2_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp15
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | ~ c1_1(X71)
                | ~ c0_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | c2_1(X72)
                | c0_1(X72) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | ~ c0_1(X73)
                | c2_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | c2_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp1
          | hskp14
          | ! [X76] :
              ( ndr1_0
             => ( c3_1(X76)
                | c2_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp1
          | hskp13
          | ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | c2_1(X77)
                | c0_1(X77) ) ) )
        & ( ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c1_1(X78)
                | c2_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c1_1(X79)
                | c0_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c3_1(X80)
                | c2_1(X80)
                | c0_1(X80) ) ) )
        & ( hskp12
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | c1_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp11
          | hskp6
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c1_1(X82)
                | c0_1(X82) ) ) )
        & ( hskp10
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c2_1(X83)
                | c1_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | c1_1(X84)
                | c0_1(X84) ) ) )
        & ( ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c2_1(X85)
                | ~ c1_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | c2_1(X86)
                | c0_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | c1_1(X87)
                | c0_1(X87) ) ) )
        & ( hskp9
          | hskp8
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | c1_1(X88)
                | c0_1(X88) ) ) )
        & ( hskp7
          | hskp6
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | c1_1(X89)
                | c0_1(X89) ) ) )
        & ( hskp29
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c0_1(X90)
                | c1_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | c1_1(X91)
                | c0_1(X91) ) ) )
        & ( hskp5
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c2_1(X92)
                | c0_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | c1_1(X93)
                | c0_1(X93) ) ) )
        & ( hskp4
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c1_1(X94)
                | c0_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | c1_1(X95)
                | c0_1(X95) ) ) )
        & ( hskp28
          | hskp3
          | ! [X96] :
              ( ndr1_0
             => ( c3_1(X96)
                | c1_1(X96)
                | c0_1(X96) ) ) )
        & ( hskp2
          | ! [X97] :
              ( ndr1_0
             => ( ~ c2_1(X97)
                | ~ c1_1(X97)
                | ~ c0_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( c3_1(X98)
                | c1_1(X98)
                | c0_1(X98) ) ) )
        & ( ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c1_1(X99)
                | c2_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | c3_1(X100)
                | c2_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( c2_1(X101)
                | c1_1(X101)
                | c0_1(X101) ) ) )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c1_1(X102)
                | c2_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | c3_1(X103)
                | c2_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | c1_1(X104)
                | c0_1(X104) ) ) )
        & ( hskp1
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c2_1(X105)
                | c1_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( c2_1(X106)
                | c1_1(X106)
                | c0_1(X106) ) ) )
        & ( hskp0
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | c1_1(X107)
                | c0_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( c2_1(X108)
                | c1_1(X108)
                | c0_1(X108) ) ) )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c0_1(X109)
                | c1_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | c1_1(X110)
                | c0_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( c2_1(X111)
                | c1_1(X111)
                | c0_1(X111) ) ) )
        & ( ( c2_1(a2498)
            & c1_1(a2498)
            & c0_1(a2498)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a2450)
            & c1_1(a2450)
            & c0_1(a2450)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a2409)
            & c2_1(a2409)
            & c0_1(a2409)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a2406)
            & c2_1(a2406)
            & c1_1(a2406)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a2500)
            & ~ c1_1(a2500)
            & ~ c0_1(a2500)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a2484)
            & c1_1(a2484)
            & c0_1(a2484)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a2478)
            & ~ c0_1(a2478)
            & c2_1(a2478)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a2468)
            & ~ c0_1(a2468)
            & c1_1(a2468)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c0_1(a2455)
            & c3_1(a2455)
            & c2_1(a2455)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a2453)
            & ~ c1_1(a2453)
            & ~ c0_1(a2453)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a2437)
            & c2_1(a2437)
            & c0_1(a2437)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a2435)
            & ~ c0_1(a2435)
            & c3_1(a2435)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c0_1(a2432)
            & c3_1(a2432)
            & c1_1(a2432)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a2428)
            & ~ c2_1(a2428)
            & ~ c0_1(a2428)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a2427)
            & c3_1(a2427)
            & c2_1(a2427)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a2425)
            & ~ c2_1(a2425)
            & c0_1(a2425)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a2422)
            & c3_1(a2422)
            & c1_1(a2422)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a2420)
            & c2_1(a2420)
            & c1_1(a2420)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c0_1(a2418)
            & c2_1(a2418)
            & c1_1(a2418)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c1_1(a2417)
            & ~ c0_1(a2417)
            & c3_1(a2417)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a2416)
            & ~ c1_1(a2416)
            & c3_1(a2416)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a2414)
            & ~ c1_1(a2414)
            & c0_1(a2414)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a2413)
            & ~ c0_1(a2413)
            & c2_1(a2413)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a2412)
            & ~ c0_1(a2412)
            & c1_1(a2412)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a2411)
            & ~ c1_1(a2411)
            & c2_1(a2411)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a2410)
            & c1_1(a2410)
            & c0_1(a2410)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c2_1(a2408)
            & c3_1(a2408)
            & c0_1(a2408)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a2407)
            & ~ c1_1(a2407)
            & c0_1(a2407)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a2405)
            & c2_1(a2405)
            & c0_1(a2405)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a2404)
            & ~ c2_1(a2404)
            & ~ c1_1(a2404)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a2403)
            & ~ c2_1(a2403)
            & c1_1(a2403)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a2402)
            & c3_1(a2402)
            & c0_1(a2402)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp7
          | hskp9
          | hskp8 )
        & ( hskp25
          | hskp19
          | hskp5 )
        & ( hskp18
          | hskp5
          | hskp3 )
        & ( hskp11
          | hskp8
          | hskp26 )
        & ( hskp19
          | hskp26
          | hskp30 )
        & ( hskp27
          | hskp25
          | hskp31 )
        & ( hskp11
          | hskp15
          | ! [X111] :
              ( ndr1_0
             => ( ~ c3_1(X111)
                | ~ c2_1(X111)
                | ~ c1_1(X111) ) ) )
        & ( hskp0
          | hskp21
          | ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c2_1(X110)
                | ~ c1_1(X110) ) ) )
        & ( hskp18
          | hskp20
          | ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | ~ c2_1(X109)
                | ~ c0_1(X109) ) ) )
        & ( hskp23
          | hskp14
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c1_1(X108)
                | ~ c0_1(X108) ) ) )
        & ( hskp24
          | hskp3
          | ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | ~ c1_1(X107)
                | ~ c0_1(X107) ) ) )
        & ( hskp23
          | hskp6
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | ~ c1_1(X106)
                | c3_1(X106) ) ) )
        & ( hskp20
          | ! [X105] :
              ( ndr1_0
             => ( ~ c2_1(X105)
                | ~ c1_1(X105)
                | ~ c0_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | ~ c0_1(X104)
                | c3_1(X104) ) ) )
        & ( hskp26
          | hskp6
          | ! [X103] :
              ( ndr1_0
             => ( ~ c1_1(X103)
                | ~ c0_1(X103)
                | c3_1(X103) ) ) )
        & ( hskp10
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | ~ c1_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | ~ c0_1(X101)
                | c3_1(X101) ) ) )
        & ( hskp30
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | ~ c0_1(X100)
                | c3_1(X100) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c1_1(X99)
                | c2_1(X99) ) ) )
        & ( hskp7
          | hskp25
          | ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | ~ c0_1(X98)
                | c2_1(X98) ) ) )
        & ( hskp25
          | hskp19
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | ~ c0_1(X97)
                | c2_1(X97) ) ) )
        & ( hskp1
          | hskp5
          | ! [X96] :
              ( ndr1_0
             => ( ~ c1_1(X96)
                | ~ c0_1(X96)
                | c2_1(X96) ) ) )
        & ( hskp1
          | hskp6
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | c3_1(X95)
                | c2_1(X95) ) ) )
        & ( hskp2
          | hskp30
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | c3_1(X94)
                | c2_1(X94) ) ) )
        & ( hskp19
          | hskp5
          | ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | c3_1(X93)
                | c2_1(X93) ) ) )
        & ( hskp24
          | hskp15
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c2_1(X92)
                | c1_1(X92) ) ) )
        & ( hskp11
          | hskp21
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c2_1(X91)
                | c1_1(X91) ) ) )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c1_1(X90)
                | ~ c0_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c3_1(X89)
                | c2_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c2_1(X88)
                | c1_1(X88) ) ) )
        & ( ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c2_1(X87)
                | ~ c0_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c3_1(X86)
                | c2_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | ~ c0_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp12
          | hskp16
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | c3_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp9
          | hskp0
          | ! [X83] :
              ( ndr1_0
             => ( ~ c2_1(X83)
                | c3_1(X83)
                | c1_1(X83) ) ) )
        & ( hskp14
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | ~ c0_1(X82)
                | c3_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | c3_1(X81)
                | c1_1(X81) ) ) )
        & ( hskp2
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | ~ c0_1(X80)
                | c2_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | c3_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp3
          | ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | ~ c0_1(X78)
                | c1_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | c3_1(X77)
                | c1_1(X77) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c2_1(X76)
                | ~ c1_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | ~ c0_1(X75)
                | c3_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c3_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp16
          | hskp10
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c2_1(X73)
                | c1_1(X73) ) ) )
        & ( hskp23
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | c3_1(X72)
                | c2_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | c2_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp1
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c2_1(X70)
                | c1_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | c2_1(X69)
                | c1_1(X69) ) ) )
        & ( hskp22
          | hskp5
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp21
          | hskp30
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c2_1(X67)
                | c1_1(X67) ) ) )
        & ( hskp10
          | ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | c3_1(X66)
                | c1_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | c2_1(X65)
                | c1_1(X65) ) ) )
        & ( hskp15
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c2_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp9
          | hskp28
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp21
          | hskp6
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp2
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c2_1(X61)
                | c1_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c2_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp20
          | hskp7
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp9
          | hskp1
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp17
          | hskp21
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp7
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c0_1(X56)
                | c3_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c1_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp20
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c1_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp11
          | hskp12
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | ~ c1_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp19
          | ! [X51] :
              ( ndr1_0
             => ( ~ c0_1(X51)
                | c3_1(X51)
                | c1_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp4
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | c2_1(X49)
                | c1_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp12
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c1_1(X47)
                | ~ c0_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | c2_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp2
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c0_1(X45)
                | c3_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | c2_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp18
          | hskp17
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp13
          | hskp16
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | c2_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp0
          | hskp29
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp15
          | ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | ~ c1_1(X40)
                | ~ c0_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | ~ c0_1(X38)
                | c2_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c0_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp1
          | hskp14
          | ! [X35] :
              ( ndr1_0
             => ( c3_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp1
          | hskp13
          | ! [X34] :
              ( ndr1_0
             => ( c3_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c1_1(X33)
                | c2_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | ~ c1_1(X32)
                | c0_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp12
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | c1_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp11
          | hskp6
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | c1_1(X29)
                | c0_1(X29) ) ) )
        & ( hskp10
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c2_1(X28)
                | c1_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c1_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)
                | c0_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c1_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp9
          | hskp8
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | c1_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp7
          | hskp6
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp29
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c0_1(X21)
                | c1_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp5
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c2_1(X19)
                | c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp4
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c1_1(X17)
                | c0_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp28
          | hskp3
          | ! [X15] :
              ( ndr1_0
             => ( c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp2
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c1_1(X14)
                | ~ c0_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c1_1(X12)
                | c2_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | c3_1(X11)
                | c2_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c1_1(X9)
                | c2_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c0_1(X8)
                | c3_1(X8)
                | c2_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp1
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c2_1(X6)
                | c1_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c0_1(X2)
                | c1_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c2_1(a2498)
            & c1_1(a2498)
            & c0_1(a2498)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a2450)
            & c1_1(a2450)
            & c0_1(a2450)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a2409)
            & c2_1(a2409)
            & c0_1(a2409)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a2406)
            & c2_1(a2406)
            & c1_1(a2406)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a2500)
            & ~ c1_1(a2500)
            & ~ c0_1(a2500)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a2484)
            & c1_1(a2484)
            & c0_1(a2484)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a2478)
            & ~ c0_1(a2478)
            & c2_1(a2478)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a2468)
            & ~ c0_1(a2468)
            & c1_1(a2468)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c0_1(a2455)
            & c3_1(a2455)
            & c2_1(a2455)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a2453)
            & ~ c1_1(a2453)
            & ~ c0_1(a2453)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a2437)
            & c2_1(a2437)
            & c0_1(a2437)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a2435)
            & ~ c0_1(a2435)
            & c3_1(a2435)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c0_1(a2432)
            & c3_1(a2432)
            & c1_1(a2432)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a2428)
            & ~ c2_1(a2428)
            & ~ c0_1(a2428)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a2427)
            & c3_1(a2427)
            & c2_1(a2427)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a2425)
            & ~ c2_1(a2425)
            & c0_1(a2425)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a2422)
            & c3_1(a2422)
            & c1_1(a2422)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a2420)
            & c2_1(a2420)
            & c1_1(a2420)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c0_1(a2418)
            & c2_1(a2418)
            & c1_1(a2418)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c1_1(a2417)
            & ~ c0_1(a2417)
            & c3_1(a2417)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a2416)
            & ~ c1_1(a2416)
            & c3_1(a2416)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a2414)
            & ~ c1_1(a2414)
            & c0_1(a2414)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a2413)
            & ~ c0_1(a2413)
            & c2_1(a2413)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a2412)
            & ~ c0_1(a2412)
            & c1_1(a2412)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a2411)
            & ~ c1_1(a2411)
            & c2_1(a2411)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a2410)
            & c1_1(a2410)
            & c0_1(a2410)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c2_1(a2408)
            & c3_1(a2408)
            & c0_1(a2408)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a2407)
            & ~ c1_1(a2407)
            & c0_1(a2407)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a2405)
            & c2_1(a2405)
            & c0_1(a2405)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a2404)
            & ~ c2_1(a2404)
            & ~ c1_1(a2404)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a2403)
            & ~ c2_1(a2403)
            & c1_1(a2403)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a2402)
            & c3_1(a2402)
            & c0_1(a2402)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp7
        | hskp9
        | hskp8 )
      & ( hskp25
        | hskp19
        | hskp5 )
      & ( hskp18
        | hskp5
        | hskp3 )
      & ( hskp11
        | hskp8
        | hskp26 )
      & ( hskp19
        | hskp26
        | hskp30 )
      & ( hskp27
        | hskp25
        | hskp31 )
      & ( hskp11
        | hskp15
        | ! [X111] :
            ( ndr1_0
           => ( ~ c3_1(X111)
              | ~ c2_1(X111)
              | ~ c1_1(X111) ) ) )
      & ( hskp0
        | hskp21
        | ! [X110] :
            ( ndr1_0
           => ( ~ c3_1(X110)
              | ~ c2_1(X110)
              | ~ c1_1(X110) ) ) )
      & ( hskp18
        | hskp20
        | ! [X109] :
            ( ndr1_0
           => ( ~ c3_1(X109)
              | ~ c2_1(X109)
              | ~ c0_1(X109) ) ) )
      & ( hskp23
        | hskp14
        | ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c1_1(X108)
              | ~ c0_1(X108) ) ) )
      & ( hskp24
        | hskp3
        | ! [X107] :
            ( ndr1_0
           => ( ~ c2_1(X107)
              | ~ c1_1(X107)
              | ~ c0_1(X107) ) ) )
      & ( hskp23
        | hskp6
        | ! [X106] :
            ( ndr1_0
           => ( ~ c2_1(X106)
              | ~ c1_1(X106)
              | c3_1(X106) ) ) )
      & ( hskp20
        | ! [X105] :
            ( ndr1_0
           => ( ~ c2_1(X105)
              | ~ c1_1(X105)
              | ~ c0_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c2_1(X104)
              | ~ c0_1(X104)
              | c3_1(X104) ) ) )
      & ( hskp26
        | hskp6
        | ! [X103] :
            ( ndr1_0
           => ( ~ c1_1(X103)
              | ~ c0_1(X103)
              | c3_1(X103) ) ) )
      & ( hskp10
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | ~ c1_1(X102) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c1_1(X101)
              | ~ c0_1(X101)
              | c3_1(X101) ) ) )
      & ( hskp30
        | ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | ~ c0_1(X100)
              | c3_1(X100) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c1_1(X99)
              | c2_1(X99) ) ) )
      & ( hskp7
        | hskp25
        | ! [X98] :
            ( ndr1_0
           => ( ~ c1_1(X98)
              | ~ c0_1(X98)
              | c2_1(X98) ) ) )
      & ( hskp25
        | hskp19
        | ! [X97] :
            ( ndr1_0
           => ( ~ c1_1(X97)
              | ~ c0_1(X97)
              | c2_1(X97) ) ) )
      & ( hskp1
        | hskp5
        | ! [X96] :
            ( ndr1_0
           => ( ~ c1_1(X96)
              | ~ c0_1(X96)
              | c2_1(X96) ) ) )
      & ( hskp1
        | hskp6
        | ! [X95] :
            ( ndr1_0
           => ( ~ c1_1(X95)
              | c3_1(X95)
              | c2_1(X95) ) ) )
      & ( hskp2
        | hskp30
        | ! [X94] :
            ( ndr1_0
           => ( ~ c1_1(X94)
              | c3_1(X94)
              | c2_1(X94) ) ) )
      & ( hskp19
        | hskp5
        | ! [X93] :
            ( ndr1_0
           => ( ~ c0_1(X93)
              | c3_1(X93)
              | c2_1(X93) ) ) )
      & ( hskp24
        | hskp15
        | ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | ~ c2_1(X92)
              | c1_1(X92) ) ) )
      & ( hskp11
        | hskp21
        | ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c2_1(X91)
              | c1_1(X91) ) ) )
      & ( ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c1_1(X90)
              | ~ c0_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | c3_1(X89)
              | c2_1(X89) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c2_1(X88)
              | c1_1(X88) ) ) )
      & ( ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c2_1(X87)
              | ~ c0_1(X87) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c1_1(X86)
              | c3_1(X86)
              | c2_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c2_1(X85)
              | ~ c0_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp12
        | hskp16
        | ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | c3_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp9
        | hskp0
        | ! [X83] :
            ( ndr1_0
           => ( ~ c2_1(X83)
              | c3_1(X83)
              | c1_1(X83) ) ) )
      & ( hskp14
        | ! [X82] :
            ( ndr1_0
           => ( ~ c1_1(X82)
              | ~ c0_1(X82)
              | c3_1(X82) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c2_1(X81)
              | c3_1(X81)
              | c1_1(X81) ) ) )
      & ( hskp2
        | ! [X80] :
            ( ndr1_0
           => ( ~ c1_1(X80)
              | ~ c0_1(X80)
              | c2_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | c3_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp3
        | ! [X78] :
            ( ndr1_0
           => ( ~ c2_1(X78)
              | ~ c0_1(X78)
              | c1_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c2_1(X77)
              | c3_1(X77)
              | c1_1(X77) ) ) )
      & ( ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c2_1(X76)
              | ~ c1_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c1_1(X75)
              | ~ c0_1(X75)
              | c3_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c3_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp16
        | hskp10
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | c2_1(X73)
              | c1_1(X73) ) ) )
      & ( hskp23
        | ! [X72] :
            ( ndr1_0
           => ( ~ c1_1(X72)
              | c3_1(X72)
              | c2_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | c2_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp1
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | ~ c2_1(X70)
              | c1_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | c2_1(X69)
              | c1_1(X69) ) ) )
      & ( hskp22
        | hskp5
        | ! [X68] :
            ( ndr1_0
           => ( ~ c0_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp21
        | hskp30
        | ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | c2_1(X67)
              | c1_1(X67) ) ) )
      & ( hskp10
        | ! [X66] :
            ( ndr1_0
           => ( ~ c0_1(X66)
              | c3_1(X66)
              | c1_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c0_1(X65)
              | c2_1(X65)
              | c1_1(X65) ) ) )
      & ( hskp15
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c2_1(X64)
              | c0_1(X64) ) ) )
      & ( hskp9
        | hskp28
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c2_1(X63)
              | c0_1(X63) ) ) )
      & ( hskp21
        | hskp6
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c2_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp2
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c2_1(X61)
              | c1_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | ~ c2_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp20
        | hskp7
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c1_1(X59)
              | c0_1(X59) ) ) )
      & ( hskp9
        | hskp1
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c1_1(X58)
              | c0_1(X58) ) ) )
      & ( hskp17
        | hskp21
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c1_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp7
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | ~ c0_1(X56)
              | c3_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c1_1(X55)
              | c0_1(X55) ) ) )
      & ( hskp20
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c1_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | ~ c1_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp11
        | hskp12
        | ! [X52] :
            ( ndr1_0
           => ( ~ c2_1(X52)
              | ~ c1_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp19
        | ! [X51] :
            ( ndr1_0
           => ( ~ c0_1(X51)
              | c3_1(X51)
              | c1_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | ~ c1_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp4
        | ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | c2_1(X49)
              | c1_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c1_1(X48)
              | c3_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp12
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | ~ c1_1(X47)
              | ~ c0_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | c2_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp2
        | ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | ~ c0_1(X45)
              | c3_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | c2_1(X44)
              | c0_1(X44) ) ) )
      & ( hskp18
        | hskp17
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp13
        | hskp16
        | ! [X42] :
            ( ndr1_0
           => ( ~ c1_1(X42)
              | c2_1(X42)
              | c0_1(X42) ) ) )
      & ( hskp0
        | hskp29
        | ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp15
        | ! [X40] :
            ( ndr1_0
           => ( ~ c2_1(X40)
              | ~ c1_1(X40)
              | ~ c0_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | ~ c0_1(X38)
              | c2_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c0_1(X37)
              | c2_1(X37)
              | c1_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp1
        | hskp14
        | ! [X35] :
            ( ndr1_0
           => ( c3_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp1
        | hskp13
        | ! [X34] :
            ( ndr1_0
           => ( c3_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | ~ c1_1(X33)
              | c2_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c2_1(X32)
              | ~ c1_1(X32)
              | c0_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp12
        | ! [X30] :
            ( ndr1_0
           => ( ~ c3_1(X30)
              | c1_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp11
        | hskp6
        | ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | c1_1(X29)
              | c0_1(X29) ) ) )
      & ( hskp10
        | ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | ~ c2_1(X28)
              | c1_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | c1_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)
              | c0_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | c1_1(X24)
              | c0_1(X24) ) ) )
      & ( hskp9
        | hskp8
        | ! [X23] :
            ( ndr1_0
           => ( ~ c2_1(X23)
              | c1_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp7
        | hskp6
        | ! [X22] :
            ( ndr1_0
           => ( ~ c2_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp29
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | ~ c0_1(X21)
              | c1_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp5
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | ~ c2_1(X19)
              | c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c2_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp4
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | ~ c1_1(X17)
              | c0_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp28
        | hskp3
        | ! [X15] :
            ( ndr1_0
           => ( c3_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp2
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | ~ c1_1(X14)
              | ~ c0_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( ! [X12] :
            ( ndr1_0
           => ( ~ c3_1(X12)
              | ~ c1_1(X12)
              | c2_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c1_1(X11)
              | c3_1(X11)
              | c2_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c2_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( ~ c3_1(X9)
              | ~ c1_1(X9)
              | c2_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c0_1(X8)
              | c3_1(X8)
              | c2_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c2_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp1
        | ! [X6] :
            ( ndr1_0
           => ( ~ c3_1(X6)
              | ~ c2_1(X6)
              | c1_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp0
        | ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c2_1(X2)
              | ~ c0_1(X2)
              | c1_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c2_1(a2498)
          & c1_1(a2498)
          & c0_1(a2498)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c3_1(a2450)
          & c1_1(a2450)
          & c0_1(a2450)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a2409)
          & c2_1(a2409)
          & c0_1(a2409)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a2406)
          & c2_1(a2406)
          & c1_1(a2406)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c3_1(a2500)
          & ~ c1_1(a2500)
          & ~ c0_1(a2500)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a2484)
          & c1_1(a2484)
          & c0_1(a2484)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a2478)
          & ~ c0_1(a2478)
          & c2_1(a2478)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a2468)
          & ~ c0_1(a2468)
          & c1_1(a2468)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c0_1(a2455)
          & c3_1(a2455)
          & c2_1(a2455)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c2_1(a2453)
          & ~ c1_1(a2453)
          & ~ c0_1(a2453)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c1_1(a2437)
          & c2_1(a2437)
          & c0_1(a2437)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a2435)
          & ~ c0_1(a2435)
          & c3_1(a2435)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c0_1(a2432)
          & c3_1(a2432)
          & c1_1(a2432)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a2428)
          & ~ c2_1(a2428)
          & ~ c0_1(a2428)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c1_1(a2427)
          & c3_1(a2427)
          & c2_1(a2427)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a2425)
          & ~ c2_1(a2425)
          & c0_1(a2425)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c2_1(a2422)
          & c3_1(a2422)
          & c1_1(a2422)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c3_1(a2420)
          & c2_1(a2420)
          & c1_1(a2420)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c0_1(a2418)
          & c2_1(a2418)
          & c1_1(a2418)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c1_1(a2417)
          & ~ c0_1(a2417)
          & c3_1(a2417)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c2_1(a2416)
          & ~ c1_1(a2416)
          & c3_1(a2416)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a2414)
          & ~ c1_1(a2414)
          & c0_1(a2414)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a2413)
          & ~ c0_1(a2413)
          & c2_1(a2413)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c2_1(a2412)
          & ~ c0_1(a2412)
          & c1_1(a2412)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a2411)
          & ~ c1_1(a2411)
          & c2_1(a2411)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a2410)
          & c1_1(a2410)
          & c0_1(a2410)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c2_1(a2408)
          & c3_1(a2408)
          & c0_1(a2408)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c2_1(a2407)
          & ~ c1_1(a2407)
          & c0_1(a2407)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a2405)
          & c2_1(a2405)
          & c0_1(a2405)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a2404)
          & ~ c2_1(a2404)
          & ~ c1_1(a2404)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a2403)
          & ~ c2_1(a2403)
          & c1_1(a2403)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c1_1(a2402)
          & c3_1(a2402)
          & c0_1(a2402)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.xz0uv1kJWl/Vampire---4.8_26270',co1) ).

fof(f1044,plain,
    ( ~ spl0_18
    | spl0_157 ),
    inference(avatar_split_clause,[],[f9,f1041,f319]) ).

fof(f9,plain,
    ( c3_1(a2402)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1039,plain,
    ( ~ spl0_18
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f10,f1036,f319]) ).

fof(f10,plain,
    ( ~ c1_1(a2402)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1033,plain,
    ( ~ spl0_33
    | spl0_155 ),
    inference(avatar_split_clause,[],[f12,f1030,f382]) ).

fof(f382,plain,
    ( spl0_33
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f12,plain,
    ( c1_1(a2403)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1028,plain,
    ( ~ spl0_33
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f13,f1025,f382]) ).

fof(f13,plain,
    ( ~ c2_1(a2403)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1023,plain,
    ( ~ spl0_33
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f14,f1020,f382]) ).

fof(f14,plain,
    ( ~ c3_1(a2403)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1017,plain,
    ( ~ spl0_35
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f16,f1014,f391]) ).

fof(f391,plain,
    ( spl0_35
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f16,plain,
    ( ~ c1_1(a2404)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1012,plain,
    ( ~ spl0_35
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f17,f1009,f391]) ).

fof(f17,plain,
    ( ~ c2_1(a2404)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1007,plain,
    ( ~ spl0_35
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f18,f1004,f391]) ).

fof(f18,plain,
    ( ~ c3_1(a2404)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1002,plain,
    ( ~ spl0_7
    | spl0_14 ),
    inference(avatar_split_clause,[],[f19,f303,f271]) ).

fof(f271,plain,
    ( spl0_7
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f303,plain,
    ( spl0_14
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f19,plain,
    ( ndr1_0
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1001,plain,
    ( ~ spl0_7
    | spl0_149 ),
    inference(avatar_split_clause,[],[f20,f998,f271]) ).

fof(f20,plain,
    ( c0_1(a2405)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f996,plain,
    ( ~ spl0_7
    | spl0_148 ),
    inference(avatar_split_clause,[],[f21,f993,f271]) ).

fof(f21,plain,
    ( c2_1(a2405)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f991,plain,
    ( ~ spl0_7
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f22,f988,f271]) ).

fof(f22,plain,
    ( ~ c3_1(a2405)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f970,plain,
    ( ~ spl0_4
    | spl0_14 ),
    inference(avatar_split_clause,[],[f27,f303,f258]) ).

fof(f258,plain,
    ( spl0_4
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

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

fof(f969,plain,
    ( ~ spl0_4
    | spl0_143 ),
    inference(avatar_split_clause,[],[f28,f966,f258]) ).

fof(f28,plain,
    ( c0_1(a2408)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f964,plain,
    ( ~ spl0_4
    | spl0_142 ),
    inference(avatar_split_clause,[],[f29,f961,f258]) ).

fof(f29,plain,
    ( c3_1(a2408)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f959,plain,
    ( ~ spl0_4
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f30,f956,f258]) ).

fof(f30,plain,
    ( ~ c2_1(a2408)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f953,plain,
    ( ~ spl0_27
    | spl0_140 ),
    inference(avatar_split_clause,[],[f32,f950,f355]) ).

fof(f355,plain,
    ( spl0_27
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f32,plain,
    ( c0_1(a2410)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f948,plain,
    ( ~ spl0_27
    | spl0_139 ),
    inference(avatar_split_clause,[],[f33,f945,f355]) ).

fof(f33,plain,
    ( c1_1(a2410)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f943,plain,
    ( ~ spl0_27
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f34,f940,f355]) ).

fof(f34,plain,
    ( ~ c2_1(a2410)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f937,plain,
    ( ~ spl0_3
    | spl0_137 ),
    inference(avatar_split_clause,[],[f36,f934,f253]) ).

fof(f253,plain,
    ( spl0_3
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f36,plain,
    ( c2_1(a2411)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f932,plain,
    ( ~ spl0_3
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f37,f929,f253]) ).

fof(f37,plain,
    ( ~ c1_1(a2411)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f927,plain,
    ( ~ spl0_3
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f38,f924,f253]) ).

fof(f38,plain,
    ( ~ c3_1(a2411)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f921,plain,
    ( ~ spl0_1
    | spl0_134 ),
    inference(avatar_split_clause,[],[f40,f918,f245]) ).

fof(f245,plain,
    ( spl0_1
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f40,plain,
    ( c1_1(a2412)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f916,plain,
    ( ~ spl0_1
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f41,f913,f245]) ).

fof(f41,plain,
    ( ~ c0_1(a2412)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f911,plain,
    ( ~ spl0_1
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f42,f908,f245]) ).

fof(f42,plain,
    ( ~ c2_1(a2412)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f905,plain,
    ( ~ spl0_2
    | spl0_131 ),
    inference(avatar_split_clause,[],[f44,f902,f249]) ).

fof(f249,plain,
    ( spl0_2
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f44,plain,
    ( c2_1(a2413)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f900,plain,
    ( ~ spl0_2
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f45,f897,f249]) ).

fof(f45,plain,
    ( ~ c0_1(a2413)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f895,plain,
    ( ~ spl0_2
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f46,f892,f249]) ).

fof(f46,plain,
    ( ~ c1_1(a2413)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f889,plain,
    ( ~ spl0_30
    | spl0_128 ),
    inference(avatar_split_clause,[],[f48,f886,f368]) ).

fof(f368,plain,
    ( spl0_30
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f48,plain,
    ( c0_1(a2414)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f884,plain,
    ( ~ spl0_30
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f49,f881,f368]) ).

fof(f49,plain,
    ( ~ c1_1(a2414)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f879,plain,
    ( ~ spl0_30
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f50,f876,f368]) ).

fof(f50,plain,
    ( ~ c3_1(a2414)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f873,plain,
    ( ~ spl0_10
    | spl0_125 ),
    inference(avatar_split_clause,[],[f52,f870,f284]) ).

fof(f284,plain,
    ( spl0_10
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f52,plain,
    ( c3_1(a2416)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f868,plain,
    ( ~ spl0_10
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f53,f865,f284]) ).

fof(f53,plain,
    ( ~ c1_1(a2416)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f863,plain,
    ( ~ spl0_10
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f54,f860,f284]) ).

fof(f54,plain,
    ( ~ c2_1(a2416)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f857,plain,
    ( ~ spl0_41
    | spl0_122 ),
    inference(avatar_split_clause,[],[f56,f854,f417]) ).

fof(f417,plain,
    ( spl0_41
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f56,plain,
    ( c3_1(a2417)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f852,plain,
    ( ~ spl0_41
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f57,f849,f417]) ).

fof(f57,plain,
    ( ~ c0_1(a2417)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f847,plain,
    ( ~ spl0_41
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f58,f844,f417]) ).

fof(f58,plain,
    ( ~ c1_1(a2417)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f841,plain,
    ( ~ spl0_55
    | spl0_119 ),
    inference(avatar_split_clause,[],[f60,f838,f491]) ).

fof(f491,plain,
    ( spl0_55
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f60,plain,
    ( c1_1(a2418)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f836,plain,
    ( ~ spl0_55
    | spl0_118 ),
    inference(avatar_split_clause,[],[f61,f833,f491]) ).

fof(f61,plain,
    ( c2_1(a2418)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f831,plain,
    ( ~ spl0_55
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f62,f828,f491]) ).

fof(f62,plain,
    ( ~ c0_1(a2418)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f825,plain,
    ( ~ spl0_22
    | spl0_116 ),
    inference(avatar_split_clause,[],[f64,f822,f335]) ).

fof(f335,plain,
    ( spl0_22
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f64,plain,
    ( c1_1(a2420)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f820,plain,
    ( ~ spl0_22
    | spl0_115 ),
    inference(avatar_split_clause,[],[f65,f817,f335]) ).

fof(f65,plain,
    ( c2_1(a2420)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f815,plain,
    ( ~ spl0_22
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f66,f812,f335]) ).

fof(f66,plain,
    ( ~ c3_1(a2420)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f809,plain,
    ( ~ spl0_16
    | spl0_113 ),
    inference(avatar_split_clause,[],[f68,f806,f310]) ).

fof(f310,plain,
    ( spl0_16
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f68,plain,
    ( c1_1(a2422)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f804,plain,
    ( ~ spl0_16
    | spl0_112 ),
    inference(avatar_split_clause,[],[f69,f801,f310]) ).

fof(f69,plain,
    ( c3_1(a2422)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f799,plain,
    ( ~ spl0_16
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f70,f796,f310]) ).

fof(f70,plain,
    ( ~ c2_1(a2422)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f793,plain,
    ( ~ spl0_40
    | spl0_110 ),
    inference(avatar_split_clause,[],[f72,f790,f413]) ).

fof(f413,plain,
    ( spl0_40
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f72,plain,
    ( c0_1(a2425)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f788,plain,
    ( ~ spl0_40
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f73,f785,f413]) ).

fof(f73,plain,
    ( ~ c2_1(a2425)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f783,plain,
    ( ~ spl0_40
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f74,f780,f413]) ).

fof(f74,plain,
    ( ~ c3_1(a2425)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f777,plain,
    ( ~ spl0_49
    | spl0_107 ),
    inference(avatar_split_clause,[],[f76,f774,f462]) ).

fof(f462,plain,
    ( spl0_49
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f76,plain,
    ( c2_1(a2427)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f772,plain,
    ( ~ spl0_49
    | spl0_106 ),
    inference(avatar_split_clause,[],[f77,f769,f462]) ).

fof(f77,plain,
    ( c3_1(a2427)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f767,plain,
    ( ~ spl0_49
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f78,f764,f462]) ).

fof(f78,plain,
    ( ~ c1_1(a2427)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f762,plain,
    ( ~ spl0_8
    | spl0_14 ),
    inference(avatar_split_clause,[],[f79,f303,f275]) ).

fof(f275,plain,
    ( spl0_8
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f79,plain,
    ( ndr1_0
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f761,plain,
    ( ~ spl0_8
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f80,f758,f275]) ).

fof(f80,plain,
    ( ~ c0_1(a2428)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f756,plain,
    ( ~ spl0_8
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f81,f753,f275]) ).

fof(f81,plain,
    ( ~ c2_1(a2428)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f751,plain,
    ( ~ spl0_8
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f82,f748,f275]) ).

fof(f82,plain,
    ( ~ c3_1(a2428)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f745,plain,
    ( ~ spl0_5
    | spl0_101 ),
    inference(avatar_split_clause,[],[f84,f742,f262]) ).

fof(f262,plain,
    ( spl0_5
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f84,plain,
    ( c1_1(a2432)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f740,plain,
    ( ~ spl0_5
    | spl0_100 ),
    inference(avatar_split_clause,[],[f85,f737,f262]) ).

fof(f85,plain,
    ( c3_1(a2432)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f735,plain,
    ( ~ spl0_5
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f86,f732,f262]) ).

fof(f86,plain,
    ( ~ c0_1(a2432)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f729,plain,
    ( ~ spl0_20
    | spl0_98 ),
    inference(avatar_split_clause,[],[f88,f726,f327]) ).

fof(f327,plain,
    ( spl0_20
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f88,plain,
    ( c3_1(a2435)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f724,plain,
    ( ~ spl0_20
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f89,f721,f327]) ).

fof(f89,plain,
    ( ~ c0_1(a2435)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f719,plain,
    ( ~ spl0_20
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f90,f716,f327]) ).

fof(f90,plain,
    ( ~ c2_1(a2435)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f713,plain,
    ( ~ spl0_17
    | spl0_95 ),
    inference(avatar_split_clause,[],[f92,f710,f315]) ).

fof(f315,plain,
    ( spl0_17
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f92,plain,
    ( c0_1(a2437)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f708,plain,
    ( ~ spl0_17
    | spl0_94 ),
    inference(avatar_split_clause,[],[f93,f705,f315]) ).

fof(f93,plain,
    ( c2_1(a2437)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f703,plain,
    ( ~ spl0_17
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f94,f700,f315]) ).

fof(f94,plain,
    ( ~ c1_1(a2437)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f697,plain,
    ( ~ spl0_45
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f96,f694,f439]) ).

fof(f439,plain,
    ( spl0_45
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f96,plain,
    ( ~ c0_1(a2453)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f692,plain,
    ( ~ spl0_45
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f97,f689,f439]) ).

fof(f97,plain,
    ( ~ c1_1(a2453)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f687,plain,
    ( ~ spl0_45
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f98,f684,f439]) ).

fof(f98,plain,
    ( ~ c2_1(a2453)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f681,plain,
    ( ~ spl0_23
    | spl0_89 ),
    inference(avatar_split_clause,[],[f100,f678,f339]) ).

fof(f339,plain,
    ( spl0_23
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f100,plain,
    ( c2_1(a2455)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f676,plain,
    ( ~ spl0_23
    | spl0_88 ),
    inference(avatar_split_clause,[],[f101,f673,f339]) ).

fof(f101,plain,
    ( c3_1(a2455)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f671,plain,
    ( ~ spl0_23
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f102,f668,f339]) ).

fof(f102,plain,
    ( ~ c0_1(a2455)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f649,plain,
    ( ~ spl0_6
    | spl0_83 ),
    inference(avatar_split_clause,[],[f108,f646,f266]) ).

fof(f266,plain,
    ( spl0_6
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f108,plain,
    ( c2_1(a2478)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f644,plain,
    ( ~ spl0_6
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f109,f641,f266]) ).

fof(f109,plain,
    ( ~ c0_1(a2478)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f633,plain,
    ( ~ spl0_9
    | spl0_80 ),
    inference(avatar_split_clause,[],[f112,f630,f280]) ).

fof(f280,plain,
    ( spl0_9
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f112,plain,
    ( c0_1(a2484)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f628,plain,
    ( ~ spl0_9
    | spl0_79 ),
    inference(avatar_split_clause,[],[f113,f625,f280]) ).

fof(f113,plain,
    ( c1_1(a2484)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f623,plain,
    ( ~ spl0_9
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f114,f620,f280]) ).

fof(f114,plain,
    ( ~ c3_1(a2484)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f601,plain,
    ( ~ spl0_47
    | spl0_74 ),
    inference(avatar_split_clause,[],[f120,f598,f450]) ).

fof(f450,plain,
    ( spl0_47
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f120,plain,
    ( c1_1(a2406)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f596,plain,
    ( ~ spl0_47
    | spl0_73 ),
    inference(avatar_split_clause,[],[f121,f593,f450]) ).

fof(f121,plain,
    ( c2_1(a2406)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f591,plain,
    ( ~ spl0_47
    | spl0_72 ),
    inference(avatar_split_clause,[],[f122,f588,f450]) ).

fof(f122,plain,
    ( c3_1(a2406)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f585,plain,
    ( ~ spl0_56
    | spl0_71 ),
    inference(avatar_split_clause,[],[f124,f582,f496]) ).

fof(f496,plain,
    ( spl0_56
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f124,plain,
    ( c0_1(a2409)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f580,plain,
    ( ~ spl0_56
    | spl0_70 ),
    inference(avatar_split_clause,[],[f125,f577,f496]) ).

fof(f125,plain,
    ( c2_1(a2409)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f575,plain,
    ( ~ spl0_56
    | spl0_69 ),
    inference(avatar_split_clause,[],[f126,f572,f496]) ).

fof(f126,plain,
    ( c3_1(a2409)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f569,plain,
    ( ~ spl0_11
    | spl0_68 ),
    inference(avatar_split_clause,[],[f128,f566,f289]) ).

fof(f289,plain,
    ( spl0_11
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f128,plain,
    ( c0_1(a2450)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f564,plain,
    ( ~ spl0_11
    | spl0_67 ),
    inference(avatar_split_clause,[],[f129,f561,f289]) ).

fof(f129,plain,
    ( c1_1(a2450)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f559,plain,
    ( ~ spl0_11
    | spl0_66 ),
    inference(avatar_split_clause,[],[f130,f556,f289]) ).

fof(f130,plain,
    ( c3_1(a2450)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f538,plain,
    ( spl0_62
    | spl0_59
    | ~ spl0_14
    | spl0_38 ),
    inference(avatar_split_clause,[],[f211,f406,f303,f516,f532]) ).

fof(f211,plain,
    ! [X111,X109,X110] :
      ( ~ c2_1(X109)
      | ~ c0_1(X109)
      | c1_1(X109)
      | ~ ndr1_0
      | ~ c2_1(X110)
      | c1_1(X110)
      | c0_1(X110)
      | c2_1(X111)
      | c1_1(X111)
      | c0_1(X111) ),
    inference(duplicate_literal_removal,[],[f135]) ).

fof(f135,plain,
    ! [X111,X109,X110] :
      ( ~ c2_1(X109)
      | ~ c0_1(X109)
      | c1_1(X109)
      | ~ ndr1_0
      | ~ c2_1(X110)
      | c1_1(X110)
      | c0_1(X110)
      | ~ ndr1_0
      | c2_1(X111)
      | c1_1(X111)
      | c0_1(X111)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f537,plain,
    ( spl0_62
    | ~ spl0_14
    | spl0_58
    | spl0_18 ),
    inference(avatar_split_clause,[],[f212,f319,f509,f303,f532]) ).

fof(f212,plain,
    ! [X108,X107] :
      ( hskp0
      | ~ c3_1(X107)
      | c1_1(X107)
      | c0_1(X107)
      | ~ ndr1_0
      | c2_1(X108)
      | c1_1(X108)
      | c0_1(X108) ),
    inference(duplicate_literal_removal,[],[f136]) ).

fof(f136,plain,
    ! [X108,X107] :
      ( hskp0
      | ~ c3_1(X107)
      | c1_1(X107)
      | c0_1(X107)
      | ~ ndr1_0
      | c2_1(X108)
      | c1_1(X108)
      | c0_1(X108)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f536,plain,
    ( spl0_62
    | ~ spl0_14
    | spl0_37
    | spl0_33 ),
    inference(avatar_split_clause,[],[f213,f382,f400,f303,f532]) ).

fof(f213,plain,
    ! [X106,X105] :
      ( hskp1
      | ~ c3_1(X105)
      | ~ c2_1(X105)
      | c1_1(X105)
      | ~ ndr1_0
      | c2_1(X106)
      | c1_1(X106)
      | c0_1(X106) ),
    inference(duplicate_literal_removal,[],[f137]) ).

fof(f137,plain,
    ! [X106,X105] :
      ( hskp1
      | ~ c3_1(X105)
      | ~ c2_1(X105)
      | c1_1(X105)
      | ~ ndr1_0
      | c2_1(X106)
      | c1_1(X106)
      | c0_1(X106)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f535,plain,
    ( spl0_62
    | spl0_36
    | ~ spl0_14
    | spl0_31 ),
    inference(avatar_split_clause,[],[f214,f373,f303,f396,f532]) ).

fof(f214,plain,
    ! [X104,X102,X103] :
      ( ~ c3_1(X102)
      | ~ c1_1(X102)
      | c2_1(X102)
      | ~ ndr1_0
      | ~ c0_1(X103)
      | c3_1(X103)
      | c2_1(X103)
      | c2_1(X104)
      | c1_1(X104)
      | c0_1(X104) ),
    inference(duplicate_literal_removal,[],[f138]) ).

fof(f138,plain,
    ! [X104,X102,X103] :
      ( ~ c3_1(X102)
      | ~ c1_1(X102)
      | c2_1(X102)
      | ~ ndr1_0
      | ~ c0_1(X103)
      | c3_1(X103)
      | c2_1(X103)
      | ~ ndr1_0
      | c2_1(X104)
      | c1_1(X104)
      | c0_1(X104)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f534,plain,
    ( spl0_62
    | spl0_34
    | ~ spl0_14
    | spl0_31 ),
    inference(avatar_split_clause,[],[f215,f373,f303,f387,f532]) ).

fof(f215,plain,
    ! [X101,X99,X100] :
      ( ~ c3_1(X99)
      | ~ c1_1(X99)
      | c2_1(X99)
      | ~ ndr1_0
      | ~ c1_1(X100)
      | c3_1(X100)
      | c2_1(X100)
      | c2_1(X101)
      | c1_1(X101)
      | c0_1(X101) ),
    inference(duplicate_literal_removal,[],[f139]) ).

fof(f139,plain,
    ! [X101,X99,X100] :
      ( ~ c3_1(X99)
      | ~ c1_1(X99)
      | c2_1(X99)
      | ~ ndr1_0
      | ~ c1_1(X100)
      | c3_1(X100)
      | c2_1(X100)
      | ~ ndr1_0
      | c2_1(X101)
      | c1_1(X101)
      | c0_1(X101)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f529,plain,
    ( ~ spl0_14
    | spl0_61
    | spl0_7
    | spl0_47 ),
    inference(avatar_split_clause,[],[f141,f450,f271,f527,f303]) ).

fof(f141,plain,
    ! [X96] :
      ( hskp28
      | hskp3
      | c3_1(X96)
      | c1_1(X96)
      | c0_1(X96)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f523,plain,
    ( spl0_59
    | ~ spl0_14
    | spl0_60
    | spl0_56 ),
    inference(avatar_split_clause,[],[f219,f496,f521,f303,f516]) ).

fof(f219,plain,
    ! [X90,X91] :
      ( hskp29
      | ~ c3_1(X90)
      | ~ c0_1(X90)
      | c1_1(X90)
      | ~ ndr1_0
      | ~ c2_1(X91)
      | c1_1(X91)
      | c0_1(X91) ),
    inference(duplicate_literal_removal,[],[f144]) ).

fof(f144,plain,
    ! [X90,X91] :
      ( hskp29
      | ~ c3_1(X90)
      | ~ c0_1(X90)
      | c1_1(X90)
      | ~ ndr1_0
      | ~ c2_1(X91)
      | c1_1(X91)
      | c0_1(X91)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f519,plain,
    ( ~ spl0_14
    | spl0_59
    | spl0_27
    | spl0_3 ),
    inference(avatar_split_clause,[],[f145,f253,f355,f516,f303]) ).

fof(f145,plain,
    ! [X89] :
      ( hskp7
      | hskp6
      | ~ c2_1(X89)
      | c1_1(X89)
      | c0_1(X89)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f518,plain,
    ( ~ spl0_14
    | spl0_59
    | spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f146,f249,f245,f516,f303]) ).

fof(f146,plain,
    ! [X88] :
      ( hskp9
      | hskp8
      | ~ c2_1(X88)
      | c1_1(X88)
      | c0_1(X88)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f512,plain,
    ( ~ spl0_14
    | spl0_58
    | spl0_27
    | spl0_10 ),
    inference(avatar_split_clause,[],[f149,f284,f355,f509,f303]) ).

fof(f149,plain,
    ! [X82] :
      ( hskp11
      | hskp6
      | ~ c3_1(X82)
      | c1_1(X82)
      | c0_1(X82)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f507,plain,
    ( spl0_57
    | spl0_50
    | ~ spl0_14
    | spl0_31 ),
    inference(avatar_split_clause,[],[f222,f373,f303,f469,f503]) ).

fof(f222,plain,
    ! [X80,X78,X79] :
      ( ~ c3_1(X78)
      | ~ c1_1(X78)
      | c2_1(X78)
      | ~ ndr1_0
      | ~ c2_1(X79)
      | ~ c1_1(X79)
      | c0_1(X79)
      | c3_1(X80)
      | c2_1(X80)
      | c0_1(X80) ),
    inference(duplicate_literal_removal,[],[f151]) ).

fof(f151,plain,
    ! [X80,X78,X79] :
      ( ~ c3_1(X78)
      | ~ c1_1(X78)
      | c2_1(X78)
      | ~ ndr1_0
      | ~ c2_1(X79)
      | ~ c1_1(X79)
      | c0_1(X79)
      | ~ ndr1_0
      | c3_1(X80)
      | c2_1(X80)
      | c0_1(X80)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f506,plain,
    ( ~ spl0_14
    | spl0_57
    | spl0_55
    | spl0_33 ),
    inference(avatar_split_clause,[],[f152,f382,f491,f503,f303]) ).

fof(f152,plain,
    ! [X77] :
      ( hskp1
      | hskp13
      | c3_1(X77)
      | c2_1(X77)
      | c0_1(X77)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f505,plain,
    ( ~ spl0_14
    | spl0_57
    | spl0_22
    | spl0_33 ),
    inference(avatar_split_clause,[],[f153,f382,f335,f503,f303]) ).

fof(f153,plain,
    ! [X76] :
      ( hskp1
      | hskp14
      | c3_1(X76)
      | c2_1(X76)
      | c0_1(X76)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f501,plain,
    ( spl0_54
    | spl0_44
    | ~ spl0_14
    | spl0_32 ),
    inference(avatar_split_clause,[],[f223,f377,f303,f436,f487]) ).

fof(f223,plain,
    ! [X73,X74,X75] :
      ( ~ c1_1(X73)
      | ~ c0_1(X73)
      | c2_1(X73)
      | ~ ndr1_0
      | ~ c0_1(X74)
      | c2_1(X74)
      | c1_1(X74)
      | ~ c1_1(X75)
      | c2_1(X75)
      | c0_1(X75) ),
    inference(duplicate_literal_removal,[],[f154]) ).

fof(f154,plain,
    ! [X73,X74,X75] :
      ( ~ c1_1(X73)
      | ~ c0_1(X73)
      | c2_1(X73)
      | ~ ndr1_0
      | ~ c0_1(X74)
      | c2_1(X74)
      | c1_1(X74)
      | ~ ndr1_0
      | ~ c1_1(X75)
      | c2_1(X75)
      | c0_1(X75)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f500,plain,
    ( spl0_54
    | ~ spl0_14
    | spl0_24
    | spl0_16 ),
    inference(avatar_split_clause,[],[f224,f310,f344,f303,f487]) ).

fof(f224,plain,
    ! [X72,X71] :
      ( hskp15
      | ~ c2_1(X71)
      | ~ c1_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | ~ c1_1(X72)
      | c2_1(X72)
      | c0_1(X72) ),
    inference(duplicate_literal_removal,[],[f155]) ).

fof(f155,plain,
    ! [X72,X71] :
      ( hskp15
      | ~ c2_1(X71)
      | ~ c1_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | ~ c1_1(X72)
      | c2_1(X72)
      | c0_1(X72)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f499,plain,
    ( ~ spl0_14
    | spl0_54
    | spl0_56
    | spl0_18 ),
    inference(avatar_split_clause,[],[f156,f319,f496,f487,f303]) ).

fof(f156,plain,
    ! [X70] :
      ( hskp0
      | hskp29
      | ~ c1_1(X70)
      | c2_1(X70)
      | c0_1(X70)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f494,plain,
    ( ~ spl0_14
    | spl0_54
    | spl0_40
    | spl0_55 ),
    inference(avatar_split_clause,[],[f157,f491,f413,f487,f303]) ).

fof(f157,plain,
    ! [X69] :
      ( hskp13
      | hskp16
      | ~ c1_1(X69)
      | c2_1(X69)
      | c0_1(X69)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f489,plain,
    ( ~ spl0_14
    | spl0_54
    | spl0_49
    | spl0_8 ),
    inference(avatar_split_clause,[],[f158,f275,f462,f487,f303]) ).

fof(f158,plain,
    ! [X68] :
      ( hskp18
      | hskp17
      | ~ c1_1(X68)
      | c2_1(X68)
      | c0_1(X68)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f485,plain,
    ( spl0_53
    | ~ spl0_14
    | spl0_28
    | spl0_35 ),
    inference(avatar_split_clause,[],[f225,f391,f360,f303,f482]) ).

fof(f225,plain,
    ! [X66,X67] :
      ( hskp2
      | ~ c2_1(X66)
      | ~ c0_1(X66)
      | c3_1(X66)
      | ~ ndr1_0
      | ~ c3_1(X67)
      | c2_1(X67)
      | c0_1(X67) ),
    inference(duplicate_literal_removal,[],[f159]) ).

fof(f159,plain,
    ! [X66,X67] :
      ( hskp2
      | ~ c2_1(X66)
      | ~ c0_1(X66)
      | c3_1(X66)
      | ~ ndr1_0
      | ~ c3_1(X67)
      | c2_1(X67)
      | c0_1(X67)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f484,plain,
    ( spl0_53
    | ~ spl0_14
    | spl0_21
    | spl0_41 ),
    inference(avatar_split_clause,[],[f226,f417,f332,f303,f482]) ).

fof(f226,plain,
    ! [X65,X64] :
      ( hskp12
      | ~ c3_1(X64)
      | ~ c1_1(X64)
      | ~ c0_1(X64)
      | ~ ndr1_0
      | ~ c3_1(X65)
      | c2_1(X65)
      | c0_1(X65) ),
    inference(duplicate_literal_removal,[],[f160]) ).

fof(f160,plain,
    ! [X65,X64] :
      ( hskp12
      | ~ c3_1(X64)
      | ~ c1_1(X64)
      | ~ c0_1(X64)
      | ~ ndr1_0
      | ~ c3_1(X65)
      | c2_1(X65)
      | c0_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f472,plain,
    ( spl0_50
    | ~ spl0_14
    | spl0_42
    | spl0_5 ),
    inference(avatar_split_clause,[],[f228,f262,f426,f303,f469]) ).

fof(f228,plain,
    ! [X60,X61] :
      ( hskp19
      | ~ c0_1(X60)
      | c3_1(X60)
      | c1_1(X60)
      | ~ ndr1_0
      | ~ c2_1(X61)
      | ~ c1_1(X61)
      | c0_1(X61) ),
    inference(duplicate_literal_removal,[],[f162]) ).

fof(f162,plain,
    ! [X60,X61] :
      ( hskp19
      | ~ c0_1(X60)
      | c3_1(X60)
      | c1_1(X60)
      | ~ ndr1_0
      | ~ c2_1(X61)
      | ~ c1_1(X61)
      | c0_1(X61)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f471,plain,
    ( ~ spl0_14
    | spl0_50
    | spl0_41
    | spl0_10 ),
    inference(avatar_split_clause,[],[f163,f284,f417,f469,f303]) ).

fof(f163,plain,
    ! [X59] :
      ( hskp11
      | hskp12
      | ~ c2_1(X59)
      | ~ c1_1(X59)
      | c0_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f467,plain,
    ( spl0_48
    | ~ spl0_14
    | spl0_31
    | spl0_20 ),
    inference(avatar_split_clause,[],[f229,f327,f373,f303,f457]) ).

fof(f229,plain,
    ! [X58,X57] :
      ( hskp20
      | ~ c3_1(X57)
      | ~ c1_1(X57)
      | c2_1(X57)
      | ~ ndr1_0
      | ~ c3_1(X58)
      | ~ c1_1(X58)
      | c0_1(X58) ),
    inference(duplicate_literal_removal,[],[f164]) ).

fof(f164,plain,
    ! [X58,X57] :
      ( hskp20
      | ~ c3_1(X57)
      | ~ c1_1(X57)
      | c2_1(X57)
      | ~ ndr1_0
      | ~ c3_1(X58)
      | ~ c1_1(X58)
      | c0_1(X58)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f465,plain,
    ( ~ spl0_14
    | spl0_48
    | spl0_17
    | spl0_49 ),
    inference(avatar_split_clause,[],[f166,f462,f315,f457,f303]) ).

fof(f166,plain,
    ! [X54] :
      ( hskp17
      | hskp21
      | ~ c3_1(X54)
      | ~ c1_1(X54)
      | c0_1(X54)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f460,plain,
    ( ~ spl0_14
    | spl0_48
    | spl0_33
    | spl0_2 ),
    inference(avatar_split_clause,[],[f167,f249,f382,f457,f303]) ).

fof(f167,plain,
    ! [X53] :
      ( hskp9
      | hskp1
      | ~ c3_1(X53)
      | ~ c1_1(X53)
      | c0_1(X53)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f455,plain,
    ( spl0_46
    | ~ spl0_14
    | spl0_37
    | spl0_35 ),
    inference(avatar_split_clause,[],[f231,f391,f400,f303,f446]) ).

fof(f231,plain,
    ! [X50,X51] :
      ( hskp2
      | ~ c3_1(X50)
      | ~ c2_1(X50)
      | c1_1(X50)
      | ~ ndr1_0
      | ~ c3_1(X51)
      | ~ c2_1(X51)
      | c0_1(X51) ),
    inference(duplicate_literal_removal,[],[f169]) ).

fof(f169,plain,
    ! [X50,X51] :
      ( hskp2
      | ~ c3_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(f454,plain,
    ( ~ spl0_14
    | spl0_46
    | spl0_27
    | spl0_17 ),
    inference(avatar_split_clause,[],[f170,f315,f355,f446,f303]) ).

fof(f170,plain,
    ! [X49] :
      ( hskp21
      | hskp6
      | ~ c3_1(X49)
      | ~ c2_1(X49)
      | c0_1(X49)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f448,plain,
    ( ~ spl0_14
    | spl0_46
    | spl0_16 ),
    inference(avatar_split_clause,[],[f172,f310,f446,f303]) ).

fof(f172,plain,
    ! [X47] :
      ( hskp15
      | ~ c3_1(X47)
      | ~ c2_1(X47)
      | c0_1(X47)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f442,plain,
    ( ~ spl0_14
    | spl0_44
    | spl0_4
    | spl0_45 ),
    inference(avatar_split_clause,[],[f175,f439,f258,f436,f303]) ).

fof(f175,plain,
    ! [X43] :
      ( hskp22
      | hskp5
      | ~ c0_1(X43)
      | c2_1(X43)
      | c1_1(X43)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f434,plain,
    ( spl0_43
    | ~ spl0_14
    | spl0_37
    | spl0_33 ),
    inference(avatar_split_clause,[],[f233,f382,f400,f303,f430]) ).

fof(f233,plain,
    ! [X41,X42] :
      ( hskp1
      | ~ c3_1(X41)
      | ~ c2_1(X41)
      | c1_1(X41)
      | ~ ndr1_0
      | ~ c3_1(X42)
      | c2_1(X42)
      | c1_1(X42) ),
    inference(duplicate_literal_removal,[],[f176]) ).

fof(f176,plain,
    ! [X41,X42] :
      ( hskp1
      | ~ c3_1(X41)
      | ~ c2_1(X41)
      | c1_1(X41)
      | ~ ndr1_0
      | ~ c3_1(X42)
      | c2_1(X42)
      | c1_1(X42)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f433,plain,
    ( spl0_43
    | ~ spl0_14
    | spl0_34
    | spl0_23 ),
    inference(avatar_split_clause,[],[f234,f339,f387,f303,f430]) ).

fof(f234,plain,
    ! [X40,X39] :
      ( hskp23
      | ~ c1_1(X39)
      | c3_1(X39)
      | c2_1(X39)
      | ~ ndr1_0
      | ~ c3_1(X40)
      | c2_1(X40)
      | c1_1(X40) ),
    inference(duplicate_literal_removal,[],[f177]) ).

fof(f177,plain,
    ! [X40,X39] :
      ( hskp23
      | ~ c1_1(X39)
      | c3_1(X39)
      | c2_1(X39)
      | ~ ndr1_0
      | ~ c3_1(X40)
      | c2_1(X40)
      | c1_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f432,plain,
    ( ~ spl0_14
    | spl0_43
    | spl0_30
    | spl0_40 ),
    inference(avatar_split_clause,[],[f178,f413,f368,f430,f303]) ).

fof(f178,plain,
    ! [X38] :
      ( hskp16
      | hskp10
      | ~ c3_1(X38)
      | c2_1(X38)
      | c1_1(X38)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f428,plain,
    ( spl0_42
    | spl0_29
    | ~ spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f235,f307,f303,f364,f426]) ).

fof(f235,plain,
    ! [X36,X37,X35] :
      ( ~ c3_1(X35)
      | ~ c2_1(X35)
      | ~ c1_1(X35)
      | ~ ndr1_0
      | ~ c1_1(X36)
      | ~ c0_1(X36)
      | c3_1(X36)
      | ~ c0_1(X37)
      | c3_1(X37)
      | c1_1(X37) ),
    inference(duplicate_literal_removal,[],[f179]) ).

fof(f179,plain,
    ! [X36,X37,X35] :
      ( ~ c3_1(X35)
      | ~ c2_1(X35)
      | ~ c1_1(X35)
      | ~ ndr1_0
      | ~ c1_1(X36)
      | ~ c0_1(X36)
      | c3_1(X36)
      | ~ ndr1_0
      | ~ c0_1(X37)
      | c3_1(X37)
      | c1_1(X37)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f424,plain,
    ( spl0_39
    | ~ spl0_14
    | spl0_38
    | spl0_7 ),
    inference(avatar_split_clause,[],[f236,f271,f406,f303,f410]) ).

fof(f236,plain,
    ! [X34,X33] :
      ( hskp3
      | ~ c2_1(X33)
      | ~ c0_1(X33)
      | c1_1(X33)
      | ~ ndr1_0
      | ~ c2_1(X34)
      | c3_1(X34)
      | c1_1(X34) ),
    inference(duplicate_literal_removal,[],[f180]) ).

fof(f180,plain,
    ! [X34,X33] :
      ( hskp3
      | ~ c2_1(X33)
      | ~ c0_1(X33)
      | c1_1(X33)
      | ~ ndr1_0
      | ~ c2_1(X34)
      | c3_1(X34)
      | c1_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f422,plain,
    ( spl0_39
    | ~ spl0_14
    | spl0_29
    | spl0_22 ),
    inference(avatar_split_clause,[],[f238,f335,f364,f303,f410]) ).

fof(f238,plain,
    ! [X29,X30] :
      ( hskp14
      | ~ c1_1(X29)
      | ~ c0_1(X29)
      | c3_1(X29)
      | ~ ndr1_0
      | ~ c2_1(X30)
      | c3_1(X30)
      | c1_1(X30) ),
    inference(duplicate_literal_removal,[],[f182]) ).

fof(f182,plain,
    ! [X29,X30] :
      ( hskp14
      | ~ c1_1(X29)
      | ~ c0_1(X29)
      | c3_1(X29)
      | ~ ndr1_0
      | ~ c2_1(X30)
      | c3_1(X30)
      | c1_1(X30)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f421,plain,
    ( ~ spl0_14
    | spl0_39
    | spl0_18
    | spl0_2 ),
    inference(avatar_split_clause,[],[f183,f249,f319,f410,f303]) ).

fof(f183,plain,
    ! [X28] :
      ( hskp9
      | hskp0
      | ~ c2_1(X28)
      | c3_1(X28)
      | c1_1(X28)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f408,plain,
    ( spl0_38
    | spl0_34
    | ~ spl0_14
    | spl0_19 ),
    inference(avatar_split_clause,[],[f239,f324,f303,f387,f406]) ).

fof(f239,plain,
    ! [X26,X24,X25] :
      ( ~ c3_1(X24)
      | ~ c2_1(X24)
      | ~ c0_1(X24)
      | ~ ndr1_0
      | ~ c1_1(X25)
      | c3_1(X25)
      | c2_1(X25)
      | ~ c2_1(X26)
      | ~ c0_1(X26)
      | c1_1(X26) ),
    inference(duplicate_literal_removal,[],[f185]) ).

fof(f185,plain,
    ! [X26,X24,X25] :
      ( ~ c3_1(X24)
      | ~ c2_1(X24)
      | ~ c0_1(X24)
      | ~ ndr1_0
      | ~ c1_1(X25)
      | c3_1(X25)
      | c2_1(X25)
      | ~ ndr1_0
      | ~ c2_1(X26)
      | ~ c0_1(X26)
      | c1_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f403,plain,
    ( ~ spl0_14
    | spl0_37
    | spl0_17
    | spl0_10 ),
    inference(avatar_split_clause,[],[f187,f284,f315,f400,f303]) ).

fof(f187,plain,
    ! [X20] :
      ( hskp11
      | hskp21
      | ~ c3_1(X20)
      | ~ c2_1(X20)
      | c1_1(X20)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f380,plain,
    ( ~ spl0_14
    | spl0_32
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f193,f266,f262,f377,f303]) ).

fof(f193,plain,
    ! [X14] :
      ( hskp25
      | hskp19
      | ~ c1_1(X14)
      | ~ c0_1(X14)
      | c2_1(X14)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f375,plain,
    ( spl0_31
    | ~ spl0_14
    | spl0_29
    | spl0_11 ),
    inference(avatar_split_clause,[],[f241,f289,f364,f303,f373]) ).

fof(f241,plain,
    ! [X11,X12] :
      ( hskp30
      | ~ c1_1(X11)
      | ~ c0_1(X11)
      | c3_1(X11)
      | ~ ndr1_0
      | ~ c3_1(X12)
      | ~ c1_1(X12)
      | c2_1(X12) ),
    inference(duplicate_literal_removal,[],[f195]) ).

fof(f195,plain,
    ! [X11,X12] :
      ( hskp30
      | ~ c1_1(X11)
      | ~ c0_1(X11)
      | c3_1(X11)
      | ~ ndr1_0
      | ~ c3_1(X12)
      | ~ c1_1(X12)
      | c2_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f371,plain,
    ( spl0_29
    | ~ spl0_14
    | spl0_15
    | spl0_30 ),
    inference(avatar_split_clause,[],[f242,f368,f307,f303,f364]) ).

fof(f242,plain,
    ! [X10,X9] :
      ( hskp10
      | ~ c3_1(X9)
      | ~ c2_1(X9)
      | ~ c1_1(X9)
      | ~ ndr1_0
      | ~ c1_1(X10)
      | ~ c0_1(X10)
      | c3_1(X10) ),
    inference(duplicate_literal_removal,[],[f196]) ).

fof(f196,plain,
    ! [X10,X9] :
      ( hskp10
      | ~ c3_1(X9)
      | ~ c2_1(X9)
      | ~ c1_1(X9)
      | ~ ndr1_0
      | ~ c1_1(X10)
      | ~ c0_1(X10)
      | c3_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f362,plain,
    ( spl0_28
    | ~ spl0_14
    | spl0_24
    | spl0_20 ),
    inference(avatar_split_clause,[],[f243,f327,f344,f303,f360]) ).

fof(f243,plain,
    ! [X6,X7] :
      ( hskp20
      | ~ c2_1(X6)
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0
      | ~ c2_1(X7)
      | ~ c0_1(X7)
      | c3_1(X7) ),
    inference(duplicate_literal_removal,[],[f198]) ).

fof(f198,plain,
    ! [X6,X7] :
      ( hskp20
      | ~ c2_1(X6)
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0
      | ~ c2_1(X7)
      | ~ c0_1(X7)
      | c3_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f358,plain,
    ( ~ spl0_14
    | spl0_26
    | spl0_27
    | spl0_23 ),
    inference(avatar_split_clause,[],[f199,f339,f355,f352,f303]) ).

fof(f199,plain,
    ! [X5] :
      ( hskp23
      | hskp6
      | ~ c2_1(X5)
      | ~ c1_1(X5)
      | c3_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f342,plain,
    ( ~ spl0_14
    | spl0_21
    | spl0_22
    | spl0_23 ),
    inference(avatar_split_clause,[],[f201,f339,f335,f332,f303]) ).

fof(f201,plain,
    ! [X3] :
      ( hskp23
      | hskp14
      | ~ c3_1(X3)
      | ~ c1_1(X3)
      | ~ c0_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f330,plain,
    ( ~ spl0_14
    | spl0_19
    | spl0_20
    | spl0_8 ),
    inference(avatar_split_clause,[],[f202,f275,f327,f324,f303]) ).

fof(f202,plain,
    ! [X2] :
      ( hskp18
      | hskp20
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f322,plain,
    ( ~ spl0_14
    | spl0_15
    | spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f203,f319,f315,f307,f303]) ).

fof(f203,plain,
    ! [X1] :
      ( hskp0
      | hskp21
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f292,plain,
    ( spl0_11
    | spl0_9
    | spl0_5 ),
    inference(avatar_split_clause,[],[f206,f262,f280,f289]) ).

fof(f206,plain,
    ( hskp19
    | hskp26
    | hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f287,plain,
    ( spl0_9
    | spl0_1
    | spl0_10 ),
    inference(avatar_split_clause,[],[f207,f284,f245,f280]) ).

fof(f207,plain,
    ( hskp11
    | hskp8
    | hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f278,plain,
    ( spl0_7
    | spl0_4
    | spl0_8 ),
    inference(avatar_split_clause,[],[f208,f275,f258,f271]) ).

fof(f208,plain,
    ( hskp18
    | hskp5
    | hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f256,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f210,f253,f249,f245]) ).

fof(f210,plain,
    ( hskp7
    | hskp9
    | hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : SYN488+1 : TPTP v8.1.2. Released v2.1.0.
% 0.03/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.31  % Computer : n014.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Fri May  3 17:12:37 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a FOF_THM_EPR_NEQ problem
% 0.11/0.32  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.xz0uv1kJWl/Vampire---4.8_26270
% 0.61/0.78  % (26380)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.78  % (26379)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.61/0.78  % (26378)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.78  % (26382)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.78  % (26381)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.78  % (26383)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.78  % (26385)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.61/0.78  % (26384)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.61/0.80  % (26382)Instruction limit reached!
% 0.61/0.80  % (26382)------------------------------
% 0.61/0.80  % (26382)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (26382)Termination reason: Unknown
% 0.61/0.80  % (26382)Termination phase: Saturation
% 0.61/0.80  
% 0.61/0.80  % (26382)Memory used [KB]: 2140
% 0.61/0.80  % (26382)Time elapsed: 0.019 s
% 0.61/0.80  % (26382)Instructions burned: 34 (million)
% 0.61/0.80  % (26382)------------------------------
% 0.61/0.80  % (26382)------------------------------
% 0.61/0.80  % (26378)Instruction limit reached!
% 0.61/0.80  % (26378)------------------------------
% 0.61/0.80  % (26378)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (26378)Termination reason: Unknown
% 0.61/0.80  % (26378)Termination phase: Saturation
% 0.61/0.80  
% 0.61/0.80  % (26378)Memory used [KB]: 2055
% 0.61/0.80  % (26378)Time elapsed: 0.020 s
% 0.61/0.80  % (26378)Instructions burned: 34 (million)
% 0.61/0.80  % (26378)------------------------------
% 0.61/0.80  % (26378)------------------------------
% 0.61/0.80  % (26386)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.61/0.81  % (26379)First to succeed.
% 0.61/0.81  % (26383)Instruction limit reached!
% 0.61/0.81  % (26383)------------------------------
% 0.61/0.81  % (26383)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (26383)Termination reason: Unknown
% 0.61/0.81  % (26383)Termination phase: Saturation
% 0.61/0.81  
% 0.61/0.81  % (26383)Memory used [KB]: 2288
% 0.61/0.81  % (26383)Time elapsed: 0.024 s
% 0.61/0.81  % (26383)Instructions burned: 45 (million)
% 0.61/0.81  % (26383)------------------------------
% 0.61/0.81  % (26383)------------------------------
% 0.61/0.81  % (26387)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.61/0.81  % (26388)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.61/0.81  % (26381)Instruction limit reached!
% 0.61/0.81  % (26381)------------------------------
% 0.61/0.81  % (26381)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (26381)Termination reason: Unknown
% 0.61/0.81  % (26381)Termination phase: Saturation
% 0.61/0.81  
% 0.61/0.81  % (26381)Memory used [KB]: 2263
% 0.61/0.81  % (26381)Time elapsed: 0.020 s
% 0.61/0.81  % (26381)Instructions burned: 34 (million)
% 0.61/0.81  % (26381)------------------------------
% 0.61/0.81  % (26381)------------------------------
% 0.61/0.81  % (26385)Instruction limit reached!
% 0.61/0.81  % (26385)------------------------------
% 0.61/0.81  % (26385)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (26385)Termination reason: Unknown
% 0.61/0.81  % (26385)Termination phase: Saturation
% 0.61/0.81  
% 0.61/0.81  % (26385)Memory used [KB]: 2401
% 0.61/0.81  % (26385)Time elapsed: 0.031 s
% 0.61/0.81  % (26385)Instructions burned: 57 (million)
% 0.61/0.81  % (26385)------------------------------
% 0.61/0.81  % (26385)------------------------------
% 0.61/0.81  % (26380)Also succeeded, but the first one will report.
% 0.61/0.81  % (26379)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26377"
% 0.61/0.82  % (26389)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.61/0.82  % (26379)Refutation found. Thanks to Tanya!
% 0.61/0.82  % SZS status Theorem for Vampire---4
% 0.61/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.82  % (26379)------------------------------
% 0.61/0.82  % (26379)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82  % (26379)Termination reason: Refutation
% 0.61/0.82  
% 0.61/0.82  % (26379)Memory used [KB]: 2011
% 0.61/0.82  % (26379)Time elapsed: 0.034 s
% 0.61/0.82  % (26379)Instructions burned: 74 (million)
% 0.61/0.82  % (26377)Success in time 0.486 s
% 0.61/0.82  % Vampire---4.8 exiting
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