TSTP Solution File: SYN480+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN480+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 : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 11:58:01 EDT 2024

% Result   : Theorem 0.69s 0.86s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  132
% Syntax   : Number of formulae    :  600 (   1 unt;   0 def)
%            Number of atoms       : 6683 (   0 equ)
%            Maximal formula atoms :  765 (  11 avg)
%            Number of connectives : 9097 (3014   ~;4230   |;1218   &)
%                                         ( 131 <=>; 504  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  114 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  169 ( 168 usr; 165 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  942 ( 942   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2398,plain,
    $false,
    inference(avatar_sat_refutation,[],[f282,f300,f318,f323,f348,f352,f356,f364,f365,f369,f370,f401,f406,f423,f427,f438,f439,f440,f458,f473,f478,f486,f490,f491,f495,f496,f497,f503,f512,f513,f514,f518,f519,f520,f524,f526,f532,f542,f543,f548,f549,f565,f570,f575,f581,f586,f591,f613,f618,f623,f645,f650,f655,f693,f698,f703,f709,f714,f719,f725,f730,f735,f741,f746,f751,f757,f762,f767,f805,f810,f815,f821,f826,f831,f837,f842,f847,f848,f885,f890,f895,f901,f906,f911,f917,f922,f927,f933,f938,f943,f949,f954,f959,f965,f970,f975,f981,f986,f991,f997,f1002,f1007,f1008,f1013,f1018,f1023,f1045,f1050,f1055,f1056,f1092,f1101,f1110,f1117,f1122,f1144,f1157,f1163,f1164,f1174,f1175,f1185,f1190,f1192,f1208,f1216,f1244,f1245,f1249,f1276,f1277,f1278,f1288,f1329,f1354,f1371,f1376,f1381,f1421,f1424,f1445,f1459,f1471,f1477,f1545,f1584,f1617,f1629,f1630,f1688,f1833,f1837,f1843,f1851,f1908,f1909,f1913,f1944,f1959,f1968,f2038,f2039,f2040,f2080,f2081,f2082,f2110,f2115,f2304,f2305,f2317,f2319,f2320,f2323,f2324,f2339,f2340,f2341,f2342,f2345,f2347,f2348,f2397]) ).

fof(f2397,plain,
    ( ~ spl0_68
    | spl0_162
    | ~ spl0_36
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f2392,f562,f412,f1077,f572]) ).

fof(f572,plain,
    ( spl0_68
  <=> c0_1(a1562) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1077,plain,
    ( spl0_162
  <=> c1_1(a1562) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f412,plain,
    ( spl0_36
  <=> ! [X23] :
        ( ~ c3_1(X23)
        | c1_1(X23)
        | ~ c0_1(X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f562,plain,
    ( spl0_66
  <=> c3_1(a1562) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f2392,plain,
    ( c1_1(a1562)
    | ~ c0_1(a1562)
    | ~ spl0_36
    | ~ spl0_66 ),
    inference(resolution,[],[f413,f564]) ).

fof(f564,plain,
    ( c3_1(a1562)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f413,plain,
    ( ! [X23] :
        ( ~ c3_1(X23)
        | c1_1(X23)
        | ~ c0_1(X23) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f2348,plain,
    ( ~ spl0_172
    | spl0_139
    | ~ spl0_54
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2247,f956,f493,f951,f1210]) ).

fof(f1210,plain,
    ( spl0_172
  <=> c1_1(a1545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f951,plain,
    ( spl0_139
  <=> c0_1(a1545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f493,plain,
    ( spl0_54
  <=> ! [X62] :
        ( ~ c2_1(X62)
        | c0_1(X62)
        | ~ c1_1(X62) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f956,plain,
    ( spl0_140
  <=> c2_1(a1545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2247,plain,
    ( c0_1(a1545)
    | ~ c1_1(a1545)
    | ~ spl0_54
    | ~ spl0_140 ),
    inference(resolution,[],[f494,f958]) ).

fof(f958,plain,
    ( c2_1(a1545)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f494,plain,
    ( ! [X62] :
        ( ~ c2_1(X62)
        | c0_1(X62)
        | ~ c1_1(X62) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f2347,plain,
    ( ~ spl0_168
    | spl0_97
    | ~ spl0_52
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f2237,f732,f484,f727,f1141]) ).

fof(f1141,plain,
    ( spl0_168
  <=> c3_1(a1575) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f727,plain,
    ( spl0_97
  <=> c0_1(a1575) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f484,plain,
    ( spl0_52
  <=> ! [X58] :
        ( ~ c3_1(X58)
        | c0_1(X58)
        | ~ c2_1(X58) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f732,plain,
    ( spl0_98
  <=> c2_1(a1575) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f2237,plain,
    ( c0_1(a1575)
    | ~ c3_1(a1575)
    | ~ spl0_52
    | ~ spl0_98 ),
    inference(resolution,[],[f485,f734]) ).

fof(f734,plain,
    ( c2_1(a1575)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f485,plain,
    ( ! [X58] :
        ( ~ c2_1(X58)
        | c0_1(X58)
        | ~ c3_1(X58) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f2345,plain,
    ( ~ spl0_112
    | spl0_181
    | ~ spl0_52
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f2234,f812,f484,f1441,f807]) ).

fof(f807,plain,
    ( spl0_112
  <=> c3_1(a1566) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1441,plain,
    ( spl0_181
  <=> c0_1(a1566) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f812,plain,
    ( spl0_113
  <=> c2_1(a1566) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f2234,plain,
    ( c0_1(a1566)
    | ~ c3_1(a1566)
    | ~ spl0_52
    | ~ spl0_113 ),
    inference(resolution,[],[f485,f814]) ).

fof(f814,plain,
    ( c2_1(a1566)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f2342,plain,
    ( ~ spl0_66
    | ~ spl0_162
    | ~ spl0_20
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1865,f567,f342,f1077,f562]) ).

fof(f342,plain,
    ( spl0_20
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f567,plain,
    ( spl0_67
  <=> c2_1(a1562) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1865,plain,
    ( ~ c1_1(a1562)
    | ~ c3_1(a1562)
    | ~ spl0_20
    | ~ spl0_67 ),
    inference(resolution,[],[f343,f569]) ).

fof(f569,plain,
    ( c2_1(a1562)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f343,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f2341,plain,
    ( ~ spl0_146
    | spl0_144
    | ~ spl0_54
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f2338,f1536,f493,f978,f988]) ).

fof(f988,plain,
    ( spl0_146
  <=> c1_1(a1539) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f978,plain,
    ( spl0_144
  <=> c0_1(a1539) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1536,plain,
    ( spl0_186
  <=> c2_1(a1539) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f2338,plain,
    ( c0_1(a1539)
    | ~ c1_1(a1539)
    | ~ spl0_54
    | ~ spl0_186 ),
    inference(resolution,[],[f1538,f494]) ).

fof(f1538,plain,
    ( c2_1(a1539)
    | ~ spl0_186 ),
    inference(avatar_component_clause,[],[f1536]) ).

fof(f2340,plain,
    ( ~ spl0_145
    | spl0_144
    | ~ spl0_52
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f2337,f1536,f484,f978,f983]) ).

fof(f983,plain,
    ( spl0_145
  <=> c3_1(a1539) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f2337,plain,
    ( c0_1(a1539)
    | ~ c3_1(a1539)
    | ~ spl0_52
    | ~ spl0_186 ),
    inference(resolution,[],[f1538,f485]) ).

fof(f2339,plain,
    ( ~ spl0_145
    | ~ spl0_146
    | ~ spl0_20
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f2333,f1536,f342,f988,f983]) ).

fof(f2333,plain,
    ( ~ c1_1(a1539)
    | ~ c3_1(a1539)
    | ~ spl0_20
    | ~ spl0_186 ),
    inference(resolution,[],[f1538,f343]) ).

fof(f2324,plain,
    ( spl0_93
    | spl0_170
    | ~ spl0_63
    | spl0_94 ),
    inference(avatar_split_clause,[],[f2314,f711,f545,f1187,f706]) ).

fof(f706,plain,
    ( spl0_93
  <=> c3_1(a1581) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1187,plain,
    ( spl0_170
  <=> c0_1(a1581) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f545,plain,
    ( spl0_63
  <=> ! [X114] :
        ( c3_1(X114)
        | c0_1(X114)
        | c1_1(X114) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f711,plain,
    ( spl0_94
  <=> c1_1(a1581) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f2314,plain,
    ( c0_1(a1581)
    | c3_1(a1581)
    | ~ spl0_63
    | spl0_94 ),
    inference(resolution,[],[f546,f713]) ).

fof(f713,plain,
    ( ~ c1_1(a1581)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f546,plain,
    ( ! [X114] :
        ( c1_1(X114)
        | c0_1(X114)
        | c3_1(X114) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f2323,plain,
    ( spl0_168
    | spl0_97
    | ~ spl0_63
    | spl0_96 ),
    inference(avatar_split_clause,[],[f2313,f722,f545,f727,f1141]) ).

fof(f722,plain,
    ( spl0_96
  <=> c1_1(a1575) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f2313,plain,
    ( c0_1(a1575)
    | c3_1(a1575)
    | ~ spl0_63
    | spl0_96 ),
    inference(resolution,[],[f546,f724]) ).

fof(f724,plain,
    ( ~ c1_1(a1575)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f2320,plain,
    ( spl0_132
    | spl0_134
    | ~ spl0_63
    | spl0_133 ),
    inference(avatar_split_clause,[],[f2310,f919,f545,f924,f914]) ).

fof(f914,plain,
    ( spl0_132
  <=> c3_1(a1548) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f924,plain,
    ( spl0_134
  <=> c0_1(a1548) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f919,plain,
    ( spl0_133
  <=> c1_1(a1548) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f2310,plain,
    ( c0_1(a1548)
    | c3_1(a1548)
    | ~ spl0_63
    | spl0_133 ),
    inference(resolution,[],[f546,f921]) ).

fof(f921,plain,
    ( ~ c1_1(a1548)
    | spl0_133 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f2319,plain,
    ( spl0_138
    | spl0_139
    | ~ spl0_63
    | spl0_172 ),
    inference(avatar_split_clause,[],[f2309,f1210,f545,f951,f946]) ).

fof(f946,plain,
    ( spl0_138
  <=> c3_1(a1545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2309,plain,
    ( c0_1(a1545)
    | c3_1(a1545)
    | ~ spl0_63
    | spl0_172 ),
    inference(resolution,[],[f546,f1211]) ).

fof(f1211,plain,
    ( ~ c1_1(a1545)
    | spl0_172 ),
    inference(avatar_component_clause,[],[f1210]) ).

fof(f2317,plain,
    ( spl0_147
    | spl0_188
    | ~ spl0_63
    | spl0_149 ),
    inference(avatar_split_clause,[],[f2307,f1004,f545,f1941,f994]) ).

fof(f994,plain,
    ( spl0_147
  <=> c3_1(a1538) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1941,plain,
    ( spl0_188
  <=> c0_1(a1538) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).

fof(f1004,plain,
    ( spl0_149
  <=> c1_1(a1538) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f2307,plain,
    ( c0_1(a1538)
    | c3_1(a1538)
    | ~ spl0_63
    | spl0_149 ),
    inference(resolution,[],[f546,f1006]) ).

fof(f1006,plain,
    ( ~ c1_1(a1538)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f1004]) ).

fof(f2305,plain,
    ( ~ spl0_95
    | spl0_170
    | ~ spl0_62
    | spl0_94 ),
    inference(avatar_split_clause,[],[f2296,f711,f540,f1187,f716]) ).

fof(f716,plain,
    ( spl0_95
  <=> c2_1(a1581) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f540,plain,
    ( spl0_62
  <=> ! [X110] :
        ( ~ c2_1(X110)
        | c0_1(X110)
        | c1_1(X110) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f2296,plain,
    ( c0_1(a1581)
    | ~ c2_1(a1581)
    | ~ spl0_62
    | spl0_94 ),
    inference(resolution,[],[f541,f713]) ).

fof(f541,plain,
    ( ! [X110] :
        ( c1_1(X110)
        | c0_1(X110)
        | ~ c2_1(X110) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f2304,plain,
    ( ~ spl0_98
    | spl0_97
    | ~ spl0_62
    | spl0_96 ),
    inference(avatar_split_clause,[],[f2295,f722,f540,f727,f732]) ).

fof(f2295,plain,
    ( c0_1(a1575)
    | ~ c2_1(a1575)
    | ~ spl0_62
    | spl0_96 ),
    inference(resolution,[],[f541,f724]) ).

fof(f2115,plain,
    ( ~ spl0_158
    | spl0_171
    | ~ spl0_40
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1841,f1047,f429,f1205,f1052]) ).

fof(f1052,plain,
    ( spl0_158
  <=> c0_1(a1534) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f1205,plain,
    ( spl0_171
  <=> c1_1(a1534) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f429,plain,
    ( spl0_40
  <=> ! [X30] :
        ( ~ c2_1(X30)
        | c1_1(X30)
        | ~ c0_1(X30) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1047,plain,
    ( spl0_157
  <=> c2_1(a1534) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1841,plain,
    ( c1_1(a1534)
    | ~ c0_1(a1534)
    | ~ spl0_40
    | ~ spl0_157 ),
    inference(resolution,[],[f1049,f430]) ).

fof(f430,plain,
    ( ! [X30] :
        ( ~ c2_1(X30)
        | c1_1(X30)
        | ~ c0_1(X30) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f1049,plain,
    ( c2_1(a1534)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1047]) ).

fof(f2110,plain,
    ( ~ spl0_143
    | spl0_142
    | ~ spl0_36
    | ~ spl0_192 ),
    inference(avatar_split_clause,[],[f2107,f2035,f412,f967,f972]) ).

fof(f972,plain,
    ( spl0_143
  <=> c0_1(a1543) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f967,plain,
    ( spl0_142
  <=> c1_1(a1543) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2035,plain,
    ( spl0_192
  <=> c3_1(a1543) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).

fof(f2107,plain,
    ( c1_1(a1543)
    | ~ c0_1(a1543)
    | ~ spl0_36
    | ~ spl0_192 ),
    inference(resolution,[],[f2037,f413]) ).

fof(f2037,plain,
    ( c3_1(a1543)
    | ~ spl0_192 ),
    inference(avatar_component_clause,[],[f2035]) ).

fof(f2082,plain,
    ( spl0_148
    | spl0_149
    | ~ spl0_48
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f2079,f1941,f467,f1004,f999]) ).

fof(f999,plain,
    ( spl0_148
  <=> c2_1(a1538) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f467,plain,
    ( spl0_48
  <=> ! [X51] :
        ( ~ c0_1(X51)
        | c1_1(X51)
        | c2_1(X51) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f2079,plain,
    ( c1_1(a1538)
    | c2_1(a1538)
    | ~ spl0_48
    | ~ spl0_188 ),
    inference(resolution,[],[f1943,f468]) ).

fof(f468,plain,
    ( ! [X51] :
        ( ~ c0_1(X51)
        | c1_1(X51)
        | c2_1(X51) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f1943,plain,
    ( c0_1(a1538)
    | ~ spl0_188 ),
    inference(avatar_component_clause,[],[f1941]) ).

fof(f2081,plain,
    ( spl0_147
    | spl0_148
    | ~ spl0_29
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f2078,f1941,f381,f999,f994]) ).

fof(f381,plain,
    ( spl0_29
  <=> ! [X14] :
        ( ~ c0_1(X14)
        | c2_1(X14)
        | c3_1(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f2078,plain,
    ( c2_1(a1538)
    | c3_1(a1538)
    | ~ spl0_29
    | ~ spl0_188 ),
    inference(resolution,[],[f1943,f382]) ).

fof(f382,plain,
    ( ! [X14] :
        ( ~ c0_1(X14)
        | c2_1(X14)
        | c3_1(X14) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f2080,plain,
    ( spl0_147
    | spl0_149
    | ~ spl0_44
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f2076,f1941,f451,f1004,f994]) ).

fof(f451,plain,
    ( spl0_44
  <=> ! [X45] :
        ( ~ c0_1(X45)
        | c1_1(X45)
        | c3_1(X45) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f2076,plain,
    ( c1_1(a1538)
    | c3_1(a1538)
    | ~ spl0_44
    | ~ spl0_188 ),
    inference(resolution,[],[f1943,f452]) ).

fof(f452,plain,
    ( ! [X45] :
        ( ~ c0_1(X45)
        | c1_1(X45)
        | c3_1(X45) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f2040,plain,
    ( spl0_141
    | spl0_142
    | ~ spl0_48
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2033,f972,f467,f967,f962]) ).

fof(f962,plain,
    ( spl0_141
  <=> c2_1(a1543) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f2033,plain,
    ( c1_1(a1543)
    | c2_1(a1543)
    | ~ spl0_48
    | ~ spl0_143 ),
    inference(resolution,[],[f974,f468]) ).

fof(f974,plain,
    ( c0_1(a1543)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f972]) ).

fof(f2039,plain,
    ( spl0_192
    | spl0_141
    | ~ spl0_29
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2032,f972,f381,f962,f2035]) ).

fof(f2032,plain,
    ( c2_1(a1543)
    | c3_1(a1543)
    | ~ spl0_29
    | ~ spl0_143 ),
    inference(resolution,[],[f974,f382]) ).

fof(f2038,plain,
    ( spl0_192
    | spl0_142
    | ~ spl0_44
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2030,f972,f451,f967,f2035]) ).

fof(f2030,plain,
    ( c1_1(a1543)
    | c3_1(a1543)
    | ~ spl0_44
    | ~ spl0_143 ),
    inference(resolution,[],[f974,f452]) ).

fof(f1968,plain,
    ( ~ spl0_70
    | ~ spl0_71
    | ~ spl0_22
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1962,f578,f350,f588,f583]) ).

fof(f583,plain,
    ( spl0_70
  <=> c1_1(a1546) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f588,plain,
    ( spl0_71
  <=> c0_1(a1546) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f350,plain,
    ( spl0_22
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f578,plain,
    ( spl0_69
  <=> c3_1(a1546) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1962,plain,
    ( ~ c0_1(a1546)
    | ~ c1_1(a1546)
    | ~ spl0_22
    | ~ spl0_69 ),
    inference(resolution,[],[f580,f351]) ).

fof(f351,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f580,plain,
    ( c3_1(a1546)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f1959,plain,
    ( spl0_82
    | spl0_83
    | ~ spl0_59
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1935,f642,f522,f652,f647]) ).

fof(f647,plain,
    ( spl0_82
  <=> c2_1(a1624) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f652,plain,
    ( spl0_83
  <=> c0_1(a1624) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f522,plain,
    ( spl0_59
  <=> ! [X87] :
        ( c3_1(X87)
        | c0_1(X87)
        | c2_1(X87) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f642,plain,
    ( spl0_81
  <=> c3_1(a1624) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1935,plain,
    ( c0_1(a1624)
    | c2_1(a1624)
    | ~ spl0_59
    | spl0_81 ),
    inference(resolution,[],[f523,f644]) ).

fof(f644,plain,
    ( ~ c3_1(a1624)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f523,plain,
    ( ! [X87] :
        ( c3_1(X87)
        | c0_1(X87)
        | c2_1(X87) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f1944,plain,
    ( spl0_148
    | spl0_188
    | ~ spl0_59
    | spl0_147 ),
    inference(avatar_split_clause,[],[f1922,f994,f522,f1941,f999]) ).

fof(f1922,plain,
    ( c0_1(a1538)
    | c2_1(a1538)
    | ~ spl0_59
    | spl0_147 ),
    inference(resolution,[],[f523,f996]) ).

fof(f996,plain,
    ( ~ c3_1(a1538)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f994]) ).

fof(f1913,plain,
    ( spl0_99
    | spl0_179
    | ~ spl0_58
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1901,f748,f516,f1378,f738]) ).

fof(f738,plain,
    ( spl0_99
  <=> c2_1(a1574) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1378,plain,
    ( spl0_179
  <=> c0_1(a1574) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f516,plain,
    ( spl0_58
  <=> ! [X81] :
        ( ~ c1_1(X81)
        | c0_1(X81)
        | c2_1(X81) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f748,plain,
    ( spl0_101
  <=> c1_1(a1574) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1901,plain,
    ( c0_1(a1574)
    | c2_1(a1574)
    | ~ spl0_58
    | ~ spl0_101 ),
    inference(resolution,[],[f517,f750]) ).

fof(f750,plain,
    ( c1_1(a1574)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f517,plain,
    ( ! [X81] :
        ( ~ c1_1(X81)
        | c0_1(X81)
        | c2_1(X81) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f1909,plain,
    ( spl0_186
    | spl0_144
    | ~ spl0_58
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1892,f988,f516,f978,f1536]) ).

fof(f1892,plain,
    ( c0_1(a1539)
    | c2_1(a1539)
    | ~ spl0_58
    | ~ spl0_146 ),
    inference(resolution,[],[f517,f990]) ).

fof(f990,plain,
    ( c1_1(a1539)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f988]) ).

fof(f1908,plain,
    ( spl0_150
    | spl0_151
    | ~ spl0_58
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1891,f1020,f516,f1015,f1010]) ).

fof(f1010,plain,
    ( spl0_150
  <=> c2_1(a1536) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1015,plain,
    ( spl0_151
  <=> c0_1(a1536) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1020,plain,
    ( spl0_152
  <=> c1_1(a1536) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1891,plain,
    ( c0_1(a1536)
    | c2_1(a1536)
    | ~ spl0_58
    | ~ spl0_152 ),
    inference(resolution,[],[f517,f1022]) ).

fof(f1022,plain,
    ( c1_1(a1536)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f1020]) ).

fof(f1851,plain,
    ( ~ spl0_171
    | spl0_156
    | ~ spl0_24
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1849,f1052,f358,f1042,f1205]) ).

fof(f1042,plain,
    ( spl0_156
  <=> c3_1(a1534) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f358,plain,
    ( spl0_24
  <=> ! [X3] :
        ( ~ c1_1(X3)
        | c3_1(X3)
        | ~ c0_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1849,plain,
    ( c3_1(a1534)
    | ~ c1_1(a1534)
    | ~ spl0_24
    | ~ spl0_158 ),
    inference(resolution,[],[f1054,f359]) ).

fof(f359,plain,
    ( ! [X3] :
        ( ~ c0_1(X3)
        | c3_1(X3)
        | ~ c1_1(X3) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f1054,plain,
    ( c0_1(a1534)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1052]) ).

fof(f1843,plain,
    ( ~ spl0_158
    | spl0_156
    | ~ spl0_34
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1840,f1047,f404,f1042,f1052]) ).

fof(f404,plain,
    ( spl0_34
  <=> ! [X19] :
        ( ~ c2_1(X19)
        | c3_1(X19)
        | ~ c0_1(X19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1840,plain,
    ( c3_1(a1534)
    | ~ c0_1(a1534)
    | ~ spl0_34
    | ~ spl0_157 ),
    inference(resolution,[],[f1049,f405]) ).

fof(f405,plain,
    ( ! [X19] :
        ( ~ c2_1(X19)
        | c3_1(X19)
        | ~ c0_1(X19) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f1837,plain,
    ( spl0_99
    | spl0_179
    | ~ spl0_57
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1827,f743,f509,f1378,f738]) ).

fof(f509,plain,
    ( spl0_57
  <=> ! [X74] :
        ( ~ c3_1(X74)
        | c0_1(X74)
        | c2_1(X74) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f743,plain,
    ( spl0_100
  <=> c3_1(a1574) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1827,plain,
    ( c0_1(a1574)
    | c2_1(a1574)
    | ~ spl0_57
    | ~ spl0_100 ),
    inference(resolution,[],[f510,f745]) ).

fof(f745,plain,
    ( c3_1(a1574)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f510,plain,
    ( ! [X74] :
        ( ~ c3_1(X74)
        | c0_1(X74)
        | c2_1(X74) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f1833,plain,
    ( spl0_186
    | spl0_144
    | ~ spl0_57
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1822,f983,f509,f978,f1536]) ).

fof(f1822,plain,
    ( c0_1(a1539)
    | c2_1(a1539)
    | ~ spl0_57
    | ~ spl0_145 ),
    inference(resolution,[],[f510,f985]) ).

fof(f985,plain,
    ( c3_1(a1539)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f983]) ).

fof(f1688,plain,
    ( spl0_81
    | spl0_82
    | ~ spl0_27
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1680,f1326,f372,f647,f642]) ).

fof(f372,plain,
    ( spl0_27
  <=> ! [X11] :
        ( ~ c1_1(X11)
        | c2_1(X11)
        | c3_1(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1326,plain,
    ( spl0_176
  <=> c1_1(a1624) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f1680,plain,
    ( c2_1(a1624)
    | c3_1(a1624)
    | ~ spl0_27
    | ~ spl0_176 ),
    inference(resolution,[],[f373,f1328]) ).

fof(f1328,plain,
    ( c1_1(a1624)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f1326]) ).

fof(f373,plain,
    ( ! [X11] :
        ( ~ c1_1(X11)
        | c2_1(X11)
        | c3_1(X11) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f1630,plain,
    ( ~ spl0_130
    | ~ spl0_131
    | ~ spl0_47
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1627,f1152,f463,f908,f903]) ).

fof(f903,plain,
    ( spl0_130
  <=> c3_1(a1549) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f908,plain,
    ( spl0_131
  <=> c0_1(a1549) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f463,plain,
    ( spl0_47
  <=> ! [X49] :
        ( ~ c3_1(X49)
        | ~ c0_1(X49)
        | ~ c2_1(X49) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f1152,plain,
    ( spl0_169
  <=> c2_1(a1549) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f1627,plain,
    ( ~ c0_1(a1549)
    | ~ c3_1(a1549)
    | ~ spl0_47
    | ~ spl0_169 ),
    inference(resolution,[],[f1154,f464]) ).

fof(f464,plain,
    ( ! [X49] :
        ( ~ c2_1(X49)
        | ~ c0_1(X49)
        | ~ c3_1(X49) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f1154,plain,
    ( c2_1(a1549)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1152]) ).

fof(f1629,plain,
    ( ~ spl0_131
    | spl0_129
    | ~ spl0_40
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1626,f1152,f429,f898,f908]) ).

fof(f898,plain,
    ( spl0_129
  <=> c1_1(a1549) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1626,plain,
    ( c1_1(a1549)
    | ~ c0_1(a1549)
    | ~ spl0_40
    | ~ spl0_169 ),
    inference(resolution,[],[f1154,f430]) ).

fof(f1617,plain,
    ( ~ spl0_112
    | ~ spl0_181
    | ~ spl0_47
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1552,f812,f463,f1441,f807]) ).

fof(f1552,plain,
    ( ~ c0_1(a1566)
    | ~ c3_1(a1566)
    | ~ spl0_47
    | ~ spl0_113 ),
    inference(resolution,[],[f464,f814]) ).

fof(f1584,plain,
    ( spl0_102
    | spl0_103
    | ~ spl0_51
    | spl0_167 ),
    inference(avatar_split_clause,[],[f1573,f1130,f480,f759,f754]) ).

fof(f754,plain,
    ( spl0_102
  <=> c3_1(a1573) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f759,plain,
    ( spl0_103
  <=> c1_1(a1573) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f480,plain,
    ( spl0_51
  <=> ! [X55] :
        ( c3_1(X55)
        | c1_1(X55)
        | c2_1(X55) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1130,plain,
    ( spl0_167
  <=> c2_1(a1573) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f1573,plain,
    ( c1_1(a1573)
    | c3_1(a1573)
    | ~ spl0_51
    | spl0_167 ),
    inference(resolution,[],[f481,f1131]) ).

fof(f1131,plain,
    ( ~ c2_1(a1573)
    | spl0_167 ),
    inference(avatar_component_clause,[],[f1130]) ).

fof(f481,plain,
    ( ! [X55] :
        ( c2_1(X55)
        | c1_1(X55)
        | c3_1(X55) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f1545,plain,
    ( spl0_90
    | spl0_166
    | ~ spl0_46
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1533,f695,f460,f1107,f690]) ).

fof(f690,plain,
    ( spl0_90
  <=> c2_1(a1593) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1107,plain,
    ( spl0_166
  <=> c1_1(a1593) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f460,plain,
    ( spl0_46
  <=> ! [X50] :
        ( ~ c3_1(X50)
        | c1_1(X50)
        | c2_1(X50) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f695,plain,
    ( spl0_91
  <=> c3_1(a1593) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1533,plain,
    ( c1_1(a1593)
    | c2_1(a1593)
    | ~ spl0_46
    | ~ spl0_91 ),
    inference(resolution,[],[f461,f697]) ).

fof(f697,plain,
    ( c3_1(a1593)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f461,plain,
    ( ! [X50] :
        ( ~ c3_1(X50)
        | c1_1(X50)
        | c2_1(X50) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f1477,plain,
    ( ~ spl0_136
    | spl0_135
    | ~ spl0_24
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1473,f940,f358,f930,f935]) ).

fof(f935,plain,
    ( spl0_136
  <=> c1_1(a1547) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f930,plain,
    ( spl0_135
  <=> c3_1(a1547) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f940,plain,
    ( spl0_137
  <=> c0_1(a1547) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1473,plain,
    ( c3_1(a1547)
    | ~ c1_1(a1547)
    | ~ spl0_24
    | ~ spl0_137 ),
    inference(resolution,[],[f359,f942]) ).

fof(f942,plain,
    ( c0_1(a1547)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f1471,plain,
    ( ~ spl0_128
    | spl0_126
    | ~ spl0_40
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1470,f887,f429,f882,f892]) ).

fof(f892,plain,
    ( spl0_128
  <=> c0_1(a1553) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f882,plain,
    ( spl0_126
  <=> c1_1(a1553) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f887,plain,
    ( spl0_127
  <=> c2_1(a1553) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1470,plain,
    ( c1_1(a1553)
    | ~ c0_1(a1553)
    | ~ spl0_40
    | ~ spl0_127 ),
    inference(resolution,[],[f889,f430]) ).

fof(f889,plain,
    ( c2_1(a1553)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f1459,plain,
    ( ~ spl0_171
    | ~ spl0_158
    | ~ spl0_23
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1446,f1047,f354,f1052,f1205]) ).

fof(f354,plain,
    ( spl0_23
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1446,plain,
    ( ~ c0_1(a1534)
    | ~ c1_1(a1534)
    | ~ spl0_23
    | ~ spl0_157 ),
    inference(resolution,[],[f355,f1049]) ).

fof(f355,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f1445,plain,
    ( ~ spl0_112
    | spl0_111
    | ~ spl0_33
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1439,f812,f399,f802,f807]) ).

fof(f802,plain,
    ( spl0_111
  <=> c1_1(a1566) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f399,plain,
    ( spl0_33
  <=> ! [X17] :
        ( ~ c3_1(X17)
        | c1_1(X17)
        | ~ c2_1(X17) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1439,plain,
    ( c1_1(a1566)
    | ~ c3_1(a1566)
    | ~ spl0_33
    | ~ spl0_113 ),
    inference(resolution,[],[f814,f400]) ).

fof(f400,plain,
    ( ! [X17] :
        ( ~ c2_1(X17)
        | c1_1(X17)
        | ~ c3_1(X17) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f399]) ).

fof(f1424,plain,
    ( ~ spl0_118
    | ~ spl0_119
    | ~ spl0_22
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1414,f1098,f350,f844,f839]) ).

fof(f839,plain,
    ( spl0_118
  <=> c1_1(a1558) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f844,plain,
    ( spl0_119
  <=> c0_1(a1558) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1098,plain,
    ( spl0_165
  <=> c3_1(a1558) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f1414,plain,
    ( ~ c0_1(a1558)
    | ~ c1_1(a1558)
    | ~ spl0_22
    | ~ spl0_165 ),
    inference(resolution,[],[f351,f1100]) ).

fof(f1100,plain,
    ( c3_1(a1558)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1098]) ).

fof(f1421,plain,
    ( ~ spl0_101
    | ~ spl0_179
    | ~ spl0_22
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1416,f743,f350,f1378,f748]) ).

fof(f1416,plain,
    ( ~ c0_1(a1574)
    | ~ c1_1(a1574)
    | ~ spl0_22
    | ~ spl0_100 ),
    inference(resolution,[],[f351,f745]) ).

fof(f1381,plain,
    ( ~ spl0_101
    | spl0_179
    | ~ spl0_53
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1375,f743,f488,f1378,f748]) ).

fof(f488,plain,
    ( spl0_53
  <=> ! [X59] :
        ( ~ c3_1(X59)
        | c0_1(X59)
        | ~ c1_1(X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1375,plain,
    ( c0_1(a1574)
    | ~ c1_1(a1574)
    | ~ spl0_53
    | ~ spl0_100 ),
    inference(resolution,[],[f745,f489]) ).

fof(f489,plain,
    ( ! [X59] :
        ( ~ c3_1(X59)
        | c0_1(X59)
        | ~ c1_1(X59) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f1376,plain,
    ( ~ spl0_101
    | spl0_99
    | ~ spl0_26
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1374,f743,f367,f738,f748]) ).

fof(f367,plain,
    ( spl0_26
  <=> ! [X7] :
        ( ~ c3_1(X7)
        | c2_1(X7)
        | ~ c1_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1374,plain,
    ( c2_1(a1574)
    | ~ c1_1(a1574)
    | ~ spl0_26
    | ~ spl0_100 ),
    inference(resolution,[],[f745,f368]) ).

fof(f368,plain,
    ( ! [X7] :
        ( ~ c3_1(X7)
        | c2_1(X7)
        | ~ c1_1(X7) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f1371,plain,
    ( ~ spl0_118
    | spl0_117
    | ~ spl0_26
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1366,f1098,f367,f834,f839]) ).

fof(f834,plain,
    ( spl0_117
  <=> c2_1(a1558) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1366,plain,
    ( c2_1(a1558)
    | ~ c1_1(a1558)
    | ~ spl0_26
    | ~ spl0_165 ),
    inference(resolution,[],[f368,f1100]) ).

fof(f1354,plain,
    ( ~ spl0_146
    | spl0_144
    | ~ spl0_53
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1347,f983,f488,f978,f988]) ).

fof(f1347,plain,
    ( c0_1(a1539)
    | ~ c1_1(a1539)
    | ~ spl0_53
    | ~ spl0_145 ),
    inference(resolution,[],[f489,f985]) ).

fof(f1329,plain,
    ( spl0_81
    | spl0_176
    | ~ spl0_51
    | spl0_82 ),
    inference(avatar_split_clause,[],[f1319,f647,f480,f1326,f642]) ).

fof(f1319,plain,
    ( c1_1(a1624)
    | c3_1(a1624)
    | ~ spl0_51
    | spl0_82 ),
    inference(resolution,[],[f481,f649]) ).

fof(f649,plain,
    ( ~ c2_1(a1624)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f1288,plain,
    ( ~ spl0_75
    | ~ spl0_77
    | ~ spl0_20
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1282,f615,f342,f620,f610]) ).

fof(f610,plain,
    ( spl0_75
  <=> c3_1(a1542) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f620,plain,
    ( spl0_77
  <=> c1_1(a1542) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f615,plain,
    ( spl0_76
  <=> c2_1(a1542) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1282,plain,
    ( ~ c1_1(a1542)
    | ~ c3_1(a1542)
    | ~ spl0_20
    | ~ spl0_76 ),
    inference(resolution,[],[f617,f343]) ).

fof(f617,plain,
    ( c2_1(a1542)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f1278,plain,
    ( spl0_90
    | spl0_166
    | ~ spl0_48
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1274,f700,f467,f1107,f690]) ).

fof(f700,plain,
    ( spl0_92
  <=> c0_1(a1593) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1274,plain,
    ( c1_1(a1593)
    | c2_1(a1593)
    | ~ spl0_48
    | ~ spl0_92 ),
    inference(resolution,[],[f468,f702]) ).

fof(f702,plain,
    ( c0_1(a1593)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f1277,plain,
    ( spl0_167
    | spl0_103
    | ~ spl0_48
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1273,f764,f467,f759,f1130]) ).

fof(f764,plain,
    ( spl0_104
  <=> c0_1(a1573) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1273,plain,
    ( c1_1(a1573)
    | c2_1(a1573)
    | ~ spl0_48
    | ~ spl0_104 ),
    inference(resolution,[],[f468,f766]) ).

fof(f766,plain,
    ( c0_1(a1573)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f1276,plain,
    ( spl0_169
    | spl0_129
    | ~ spl0_48
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1271,f908,f467,f898,f1152]) ).

fof(f1271,plain,
    ( c1_1(a1549)
    | c2_1(a1549)
    | ~ spl0_48
    | ~ spl0_131 ),
    inference(resolution,[],[f468,f910]) ).

fof(f910,plain,
    ( c0_1(a1549)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f1249,plain,
    ( spl0_114
    | spl0_115
    | ~ spl0_27
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1248,f828,f372,f823,f818]) ).

fof(f818,plain,
    ( spl0_114
  <=> c3_1(a1565) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f823,plain,
    ( spl0_115
  <=> c2_1(a1565) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f828,plain,
    ( spl0_116
  <=> c1_1(a1565) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1248,plain,
    ( c2_1(a1565)
    | c3_1(a1565)
    | ~ spl0_27
    | ~ spl0_116 ),
    inference(resolution,[],[f830,f373]) ).

fof(f830,plain,
    ( c1_1(a1565)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f1245,plain,
    ( spl0_102
    | spl0_103
    | ~ spl0_44
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1240,f764,f451,f759,f754]) ).

fof(f1240,plain,
    ( c1_1(a1573)
    | c3_1(a1573)
    | ~ spl0_44
    | ~ spl0_104 ),
    inference(resolution,[],[f452,f766]) ).

fof(f1244,plain,
    ( spl0_156
    | spl0_171
    | ~ spl0_44
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1236,f1052,f451,f1205,f1042]) ).

fof(f1236,plain,
    ( c1_1(a1534)
    | c3_1(a1534)
    | ~ spl0_44
    | ~ spl0_158 ),
    inference(resolution,[],[f452,f1054]) ).

fof(f1216,plain,
    ( spl0_93
    | spl0_94
    | ~ spl0_42
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1201,f716,f443,f711,f706]) ).

fof(f443,plain,
    ( spl0_42
  <=> ! [X43] :
        ( ~ c2_1(X43)
        | c1_1(X43)
        | c3_1(X43) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1201,plain,
    ( c1_1(a1581)
    | c3_1(a1581)
    | ~ spl0_42
    | ~ spl0_95 ),
    inference(resolution,[],[f444,f718]) ).

fof(f718,plain,
    ( c2_1(a1581)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f444,plain,
    ( ! [X43] :
        ( ~ c2_1(X43)
        | c1_1(X43)
        | c3_1(X43) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f1208,plain,
    ( spl0_156
    | spl0_171
    | ~ spl0_42
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1196,f1047,f443,f1205,f1042]) ).

fof(f1196,plain,
    ( c1_1(a1534)
    | c3_1(a1534)
    | ~ spl0_42
    | ~ spl0_157 ),
    inference(resolution,[],[f444,f1049]) ).

fof(f1192,plain,
    ( ~ spl0_68
    | spl0_162
    | ~ spl0_40
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1184,f567,f429,f1077,f572]) ).

fof(f1184,plain,
    ( c1_1(a1562)
    | ~ c0_1(a1562)
    | ~ spl0_40
    | ~ spl0_67 ),
    inference(resolution,[],[f430,f569]) ).

fof(f1190,plain,
    ( ~ spl0_170
    | spl0_94
    | ~ spl0_40
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1182,f716,f429,f711,f1187]) ).

fof(f1182,plain,
    ( c1_1(a1581)
    | ~ c0_1(a1581)
    | ~ spl0_40
    | ~ spl0_95 ),
    inference(resolution,[],[f430,f718]) ).

fof(f1185,plain,
    ( ~ spl0_104
    | spl0_103
    | ~ spl0_40
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1180,f1130,f429,f759,f764]) ).

fof(f1180,plain,
    ( c1_1(a1573)
    | ~ c0_1(a1573)
    | ~ spl0_40
    | ~ spl0_167 ),
    inference(resolution,[],[f430,f1132]) ).

fof(f1132,plain,
    ( c2_1(a1573)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1130]) ).

fof(f1175,plain,
    ( ~ spl0_166
    | spl0_90
    | ~ spl0_39
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1171,f700,f425,f690,f1107]) ).

fof(f425,plain,
    ( spl0_39
  <=> ! [X28] :
        ( ~ c1_1(X28)
        | c2_1(X28)
        | ~ c0_1(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1171,plain,
    ( c2_1(a1593)
    | ~ c1_1(a1593)
    | ~ spl0_39
    | ~ spl0_92 ),
    inference(resolution,[],[f426,f702]) ).

fof(f426,plain,
    ( ! [X28] :
        ( ~ c0_1(X28)
        | c2_1(X28)
        | ~ c1_1(X28) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f1174,plain,
    ( ~ spl0_118
    | spl0_117
    | ~ spl0_39
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1169,f844,f425,f834,f839]) ).

fof(f1169,plain,
    ( c2_1(a1558)
    | ~ c1_1(a1558)
    | ~ spl0_39
    | ~ spl0_119 ),
    inference(resolution,[],[f426,f846]) ).

fof(f846,plain,
    ( c0_1(a1558)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f1164,plain,
    ( ~ spl0_92
    | spl0_166
    | ~ spl0_36
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1162,f695,f412,f1107,f700]) ).

fof(f1162,plain,
    ( c1_1(a1593)
    | ~ c0_1(a1593)
    | ~ spl0_36
    | ~ spl0_91 ),
    inference(resolution,[],[f413,f697]) ).

fof(f1163,plain,
    ( ~ spl0_131
    | spl0_129
    | ~ spl0_36
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1159,f903,f412,f898,f908]) ).

fof(f1159,plain,
    ( c1_1(a1549)
    | ~ c0_1(a1549)
    | ~ spl0_36
    | ~ spl0_130 ),
    inference(resolution,[],[f413,f905]) ).

fof(f905,plain,
    ( c3_1(a1549)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f1157,plain,
    ( ~ spl0_92
    | spl0_90
    | ~ spl0_35
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1150,f695,f408,f690,f700]) ).

fof(f408,plain,
    ( spl0_35
  <=> ! [X21] :
        ( ~ c3_1(X21)
        | c2_1(X21)
        | ~ c0_1(X21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1150,plain,
    ( c2_1(a1593)
    | ~ c0_1(a1593)
    | ~ spl0_35
    | ~ spl0_91 ),
    inference(resolution,[],[f409,f697]) ).

fof(f409,plain,
    ( ! [X21] :
        ( ~ c3_1(X21)
        | c2_1(X21)
        | ~ c0_1(X21) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f1144,plain,
    ( ~ spl0_168
    | spl0_96
    | ~ spl0_33
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1137,f732,f399,f722,f1141]) ).

fof(f1137,plain,
    ( c1_1(a1575)
    | ~ c3_1(a1575)
    | ~ spl0_33
    | ~ spl0_98 ),
    inference(resolution,[],[f400,f734]) ).

fof(f1122,plain,
    ( spl0_165
    | spl0_117
    | ~ spl0_27
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1119,f839,f372,f834,f1098]) ).

fof(f1119,plain,
    ( c2_1(a1558)
    | c3_1(a1558)
    | ~ spl0_27
    | ~ spl0_118 ),
    inference(resolution,[],[f373,f841]) ).

fof(f841,plain,
    ( c1_1(a1558)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f1117,plain,
    ( ~ spl0_166
    | ~ spl0_92
    | ~ spl0_22
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1115,f695,f350,f700,f1107]) ).

fof(f1115,plain,
    ( ~ c0_1(a1593)
    | ~ c1_1(a1593)
    | ~ spl0_22
    | ~ spl0_91 ),
    inference(resolution,[],[f351,f697]) ).

fof(f1110,plain,
    ( ~ spl0_166
    | spl0_90
    | ~ spl0_26
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1105,f695,f367,f690,f1107]) ).

fof(f1105,plain,
    ( c2_1(a1593)
    | ~ c1_1(a1593)
    | ~ spl0_26
    | ~ spl0_91 ),
    inference(resolution,[],[f368,f697]) ).

fof(f1101,plain,
    ( ~ spl0_118
    | spl0_165
    | ~ spl0_24
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1094,f844,f358,f1098,f839]) ).

fof(f1094,plain,
    ( c3_1(a1558)
    | ~ c1_1(a1558)
    | ~ spl0_24
    | ~ spl0_119 ),
    inference(resolution,[],[f359,f846]) ).

fof(f1092,plain,
    ( ~ spl0_162
    | ~ spl0_68
    | ~ spl0_22
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1091,f562,f350,f572,f1077]) ).

fof(f1091,plain,
    ( ~ c0_1(a1562)
    | ~ c1_1(a1562)
    | ~ spl0_22
    | ~ spl0_66 ),
    inference(resolution,[],[f351,f564]) ).

fof(f1056,plain,
    ( ~ spl0_9
    | spl0_19 ),
    inference(avatar_split_clause,[],[f11,f338,f293]) ).

fof(f293,plain,
    ( spl0_9
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f338,plain,
    ( spl0_19
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f11,plain,
    ( ndr1_0
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp9
      | hskp27
      | hskp5 )
    & ( hskp26
      | hskp3
      | hskp23 )
    & ( hskp3
      | hskp12
      | hskp10 )
    & ( hskp26
      | hskp15
      | hskp1 )
    & ( hskp7
      | hskp15
      | hskp31 )
    & ( hskp15
      | hskp20
      | hskp14 )
    & ( hskp4
      | hskp1
      | hskp14 )
    & ( hskp25
      | hskp19
      | hskp29 )
    & ( hskp22
      | hskp14
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp31
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp20
      | ! [X3] :
          ( ~ c1_1(X3)
          | ~ c0_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c0_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( ! [X8] :
          ( ~ c3_1(X8)
          | ~ c2_1(X8)
          | ~ c1_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp19
      | ! [X11] :
          ( ~ c1_1(X11)
          | c3_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c1_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp28
      | ! [X14] :
          ( ~ c0_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp19
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp8
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp19
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp31
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c0_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c0_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp30
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X24] :
          ( ~ c2_1(X24)
          | ~ c1_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c0_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c1_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c0_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X28] :
          ( ~ c1_1(X28)
          | ~ c0_1(X28)
          | c2_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp10
      | ! [X30] :
          ( ~ c2_1(X30)
          | ~ c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp14
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c0_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X32] :
          ( ~ c2_1(X32)
          | ~ c1_1(X32)
          | c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c2_1(X33)
          | ~ c0_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [X34] :
          ( ~ c3_1(X34)
          | ~ c2_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c2_1(X35)
          | ~ c0_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X37] :
          ( ~ c1_1(X37)
          | ~ c0_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c2_1(X38)
          | ~ c0_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X39] :
          ( ~ c1_1(X39)
          | c3_1(X39)
          | c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c2_1(X40)
          | ~ c0_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X41] :
          ( ~ c0_1(X41)
          | c3_1(X41)
          | c2_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c2_1(X42)
          | ~ c0_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp8
      | ! [X43] :
          ( ~ c2_1(X43)
          | c3_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c0_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c0_1(X45)
          | c3_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( ~ c3_1(X46)
          | ~ c1_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c2_1(X47)
          | ~ c0_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c0_1(X48)
          | c3_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | ~ c0_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c3_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp11
      | ! [X51] :
          ( ~ c0_1(X51)
          | c2_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X52] :
          ( ~ c1_1(X52)
          | c3_1(X52)
          | c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c0_1(X53)
          | c2_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c2_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c3_1(X55)
          | c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( ~ c3_1(X56)
          | ~ c0_1(X56)
          | c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c3_1(X57)
          | c2_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp1
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X60] :
          ( ~ c0_1(X60)
          | c3_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp14
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X63] :
          ( ~ c1_1(X63)
          | ~ c0_1(X63)
          | c2_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X65] :
          ( ~ c1_1(X65)
          | c3_1(X65)
          | c2_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c2_1(X66)
          | ~ c1_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c0_1(X67)
          | c1_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c2_1(X68)
          | ~ c1_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( ~ c3_1(X69)
          | ~ c0_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c2_1(X71)
          | ~ c1_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X72] :
          ( ~ c3_1(X72)
          | ~ c0_1(X72)
          | c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c1_1(X73)
          | c3_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp12
      | ! [X74] :
          ( ~ c3_1(X74)
          | c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X75] :
          ( ~ c3_1(X75)
          | ~ c2_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X77] :
          ( ~ c3_1(X77)
          | ~ c2_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X79] :
          ( ~ c0_1(X79)
          | c2_1(X79)
          | c1_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c3_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp10
      | ! [X81] :
          ( ~ c1_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X82] :
          ( ~ c2_1(X82)
          | c3_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( ! [X84] :
          ( ~ c3_1(X84)
          | ~ c2_1(X84)
          | ~ c1_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp30
      | ! [X87] :
          ( c3_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X88] :
          ( ~ c3_1(X88)
          | ~ c0_1(X88)
          | c2_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c3_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X90] :
          ( ~ c0_1(X90)
          | c3_1(X90)
          | c2_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c0_1(X91)
          | c3_1(X91)
          | c1_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c3_1(X92)
          | c2_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X93] :
          ( ~ c3_1(X93)
          | ~ c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( ! [X95] :
          ( ~ c0_1(X95)
          | c3_1(X95)
          | c1_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c2_1(X96)
          | c3_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c3_1(X97)
          | c2_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X98] :
          ( ~ c3_1(X98)
          | c2_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( c3_1(X99)
          | c2_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( ! [X100] :
          ( ~ c2_1(X100)
          | ~ c0_1(X100)
          | c3_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c1_1(X101)
          | ~ c0_1(X101)
          | c3_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c3_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( ! [X103] :
          ( ~ c2_1(X103)
          | ~ c0_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c0_1(X104)
          | c2_1(X104)
          | c1_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c3_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( ! [X106] :
          ( ~ c2_1(X106)
          | ~ c1_1(X106)
          | ~ c0_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c3_1(X107)
          | c2_1(X107)
          | c1_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c3_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X109] :
          ( ~ c3_1(X109)
          | ~ c1_1(X109)
          | c2_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c2_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X111] :
          ( c3_1(X111)
          | c2_1(X111)
          | c1_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( ~ c2_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X113] :
          ( ~ c3_1(X113)
          | ~ c1_1(X113)
          | ~ c0_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( c3_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X115] :
          ( ~ c1_1(X115)
          | ~ c0_1(X115)
          | c3_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c3_1(X116)
          | c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X117] :
          ( ~ c3_1(X117)
          | ~ c2_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( c3_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp3
      | ! [X119] :
          ( c2_1(X119)
          | c1_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X120] :
          ( c2_1(X120)
          | c1_1(X120)
          | c0_1(X120)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X121] :
          ( ~ c3_1(X121)
          | ~ c2_1(X121)
          | c1_1(X121)
          | ~ ndr1_0 )
      | ! [X122] :
          ( c2_1(X122)
          | c1_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 ) )
    & ( ! [X123] :
          ( ~ c2_1(X123)
          | ~ c1_1(X123)
          | ~ c0_1(X123)
          | ~ ndr1_0 )
      | ! [X124] :
          ( ~ c2_1(X124)
          | c3_1(X124)
          | c0_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( c2_1(X125)
          | c1_1(X125)
          | c0_1(X125)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a1562)
        & c2_1(a1562)
        & c0_1(a1562)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a1546)
        & c1_1(a1546)
        & c0_1(a1546)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a1544)
        & c1_1(a1544)
        & c0_1(a1544)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a1542)
        & c2_1(a1542)
        & c1_1(a1542)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c2_1(a1632)
        & ~ c1_1(a1632)
        & ~ c0_1(a1632)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a1624)
        & ~ c2_1(a1624)
        & ~ c0_1(a1624)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a1612)
        & ~ c0_1(a1612)
        & c3_1(a1612)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a1600)
        & ~ c2_1(a1600)
        & c0_1(a1600)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a1593)
        & c3_1(a1593)
        & c0_1(a1593)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a1581)
        & ~ c1_1(a1581)
        & c2_1(a1581)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a1575)
        & ~ c0_1(a1575)
        & c2_1(a1575)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a1574)
        & c3_1(a1574)
        & c1_1(a1574)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a1573)
        & ~ c1_1(a1573)
        & c0_1(a1573)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a1572)
        & c3_1(a1572)
        & c2_1(a1572)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a1570)
        & ~ c0_1(a1570)
        & c3_1(a1570)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a1566)
        & c3_1(a1566)
        & c2_1(a1566)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a1565)
        & ~ c2_1(a1565)
        & c1_1(a1565)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a1558)
        & c1_1(a1558)
        & c0_1(a1558)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a1556)
        & c2_1(a1556)
        & c1_1(a1556)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a1554)
        & c2_1(a1554)
        & c1_1(a1554)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a1553)
        & c2_1(a1553)
        & c0_1(a1553)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a1549)
        & c3_1(a1549)
        & c0_1(a1549)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a1548)
        & ~ c1_1(a1548)
        & ~ c0_1(a1548)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a1547)
        & c1_1(a1547)
        & c0_1(a1547)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a1545)
        & ~ c0_1(a1545)
        & c2_1(a1545)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a1543)
        & ~ c1_1(a1543)
        & c0_1(a1543)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a1539)
        & c3_1(a1539)
        & c1_1(a1539)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a1538)
        & ~ c2_1(a1538)
        & ~ c1_1(a1538)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a1536)
        & ~ c0_1(a1536)
        & c1_1(a1536)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a1535)
        & ~ c1_1(a1535)
        & c3_1(a1535)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a1534)
        & c2_1(a1534)
        & c0_1(a1534)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a1533)
        & ~ c0_1(a1533)
        & c1_1(a1533)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp9
      | hskp27
      | hskp5 )
    & ( hskp26
      | hskp3
      | hskp23 )
    & ( hskp3
      | hskp12
      | hskp10 )
    & ( hskp26
      | hskp15
      | hskp1 )
    & ( hskp7
      | hskp15
      | hskp31 )
    & ( hskp15
      | hskp20
      | hskp14 )
    & ( hskp4
      | hskp1
      | hskp14 )
    & ( hskp25
      | hskp19
      | hskp29 )
    & ( hskp22
      | hskp14
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp31
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp20
      | ! [X3] :
          ( ~ c1_1(X3)
          | ~ c0_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c0_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( ! [X8] :
          ( ~ c3_1(X8)
          | ~ c2_1(X8)
          | ~ c1_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp19
      | ! [X11] :
          ( ~ c1_1(X11)
          | c3_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c1_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp28
      | ! [X14] :
          ( ~ c0_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp19
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp8
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp19
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp31
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c0_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c0_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp30
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X24] :
          ( ~ c2_1(X24)
          | ~ c1_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c0_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c1_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c0_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X28] :
          ( ~ c1_1(X28)
          | ~ c0_1(X28)
          | c2_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp10
      | ! [X30] :
          ( ~ c2_1(X30)
          | ~ c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp14
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c0_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X32] :
          ( ~ c2_1(X32)
          | ~ c1_1(X32)
          | c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c2_1(X33)
          | ~ c0_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [X34] :
          ( ~ c3_1(X34)
          | ~ c2_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c2_1(X35)
          | ~ c0_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X37] :
          ( ~ c1_1(X37)
          | ~ c0_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c2_1(X38)
          | ~ c0_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X39] :
          ( ~ c1_1(X39)
          | c3_1(X39)
          | c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c2_1(X40)
          | ~ c0_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X41] :
          ( ~ c0_1(X41)
          | c3_1(X41)
          | c2_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c2_1(X42)
          | ~ c0_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp8
      | ! [X43] :
          ( ~ c2_1(X43)
          | c3_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c0_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c0_1(X45)
          | c3_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( ~ c3_1(X46)
          | ~ c1_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c2_1(X47)
          | ~ c0_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c0_1(X48)
          | c3_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | ~ c0_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c3_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp11
      | ! [X51] :
          ( ~ c0_1(X51)
          | c2_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X52] :
          ( ~ c1_1(X52)
          | c3_1(X52)
          | c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c0_1(X53)
          | c2_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c2_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c3_1(X55)
          | c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( ~ c3_1(X56)
          | ~ c0_1(X56)
          | c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c3_1(X57)
          | c2_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp1
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X60] :
          ( ~ c0_1(X60)
          | c3_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp14
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X63] :
          ( ~ c1_1(X63)
          | ~ c0_1(X63)
          | c2_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X65] :
          ( ~ c1_1(X65)
          | c3_1(X65)
          | c2_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c2_1(X66)
          | ~ c1_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c0_1(X67)
          | c1_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c2_1(X68)
          | ~ c1_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( ~ c3_1(X69)
          | ~ c0_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c2_1(X71)
          | ~ c1_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X72] :
          ( ~ c3_1(X72)
          | ~ c0_1(X72)
          | c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c1_1(X73)
          | c3_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp12
      | ! [X74] :
          ( ~ c3_1(X74)
          | c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X75] :
          ( ~ c3_1(X75)
          | ~ c2_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X77] :
          ( ~ c3_1(X77)
          | ~ c2_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X79] :
          ( ~ c0_1(X79)
          | c2_1(X79)
          | c1_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c3_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp10
      | ! [X81] :
          ( ~ c1_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X82] :
          ( ~ c2_1(X82)
          | c3_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( ! [X84] :
          ( ~ c3_1(X84)
          | ~ c2_1(X84)
          | ~ c1_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp30
      | ! [X87] :
          ( c3_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X88] :
          ( ~ c3_1(X88)
          | ~ c0_1(X88)
          | c2_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c3_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X90] :
          ( ~ c0_1(X90)
          | c3_1(X90)
          | c2_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c0_1(X91)
          | c3_1(X91)
          | c1_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c3_1(X92)
          | c2_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X93] :
          ( ~ c3_1(X93)
          | ~ c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( ! [X95] :
          ( ~ c0_1(X95)
          | c3_1(X95)
          | c1_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c2_1(X96)
          | c3_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c3_1(X97)
          | c2_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X98] :
          ( ~ c3_1(X98)
          | c2_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( c3_1(X99)
          | c2_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( ! [X100] :
          ( ~ c2_1(X100)
          | ~ c0_1(X100)
          | c3_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c1_1(X101)
          | ~ c0_1(X101)
          | c3_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c3_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( ! [X103] :
          ( ~ c2_1(X103)
          | ~ c0_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c0_1(X104)
          | c2_1(X104)
          | c1_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c3_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( ! [X106] :
          ( ~ c2_1(X106)
          | ~ c1_1(X106)
          | ~ c0_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c3_1(X107)
          | c2_1(X107)
          | c1_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c3_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X109] :
          ( ~ c3_1(X109)
          | ~ c1_1(X109)
          | c2_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c2_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X111] :
          ( c3_1(X111)
          | c2_1(X111)
          | c1_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( ~ c2_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X113] :
          ( ~ c3_1(X113)
          | ~ c1_1(X113)
          | ~ c0_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( c3_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X115] :
          ( ~ c1_1(X115)
          | ~ c0_1(X115)
          | c3_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c3_1(X116)
          | c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X117] :
          ( ~ c3_1(X117)
          | ~ c2_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( c3_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp3
      | ! [X119] :
          ( c2_1(X119)
          | c1_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X120] :
          ( c2_1(X120)
          | c1_1(X120)
          | c0_1(X120)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X121] :
          ( ~ c3_1(X121)
          | ~ c2_1(X121)
          | c1_1(X121)
          | ~ ndr1_0 )
      | ! [X122] :
          ( c2_1(X122)
          | c1_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 ) )
    & ( ! [X123] :
          ( ~ c2_1(X123)
          | ~ c1_1(X123)
          | ~ c0_1(X123)
          | ~ ndr1_0 )
      | ! [X124] :
          ( ~ c2_1(X124)
          | c3_1(X124)
          | c0_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( c2_1(X125)
          | c1_1(X125)
          | c0_1(X125)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a1562)
        & c2_1(a1562)
        & c0_1(a1562)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a1546)
        & c1_1(a1546)
        & c0_1(a1546)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a1544)
        & c1_1(a1544)
        & c0_1(a1544)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a1542)
        & c2_1(a1542)
        & c1_1(a1542)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c2_1(a1632)
        & ~ c1_1(a1632)
        & ~ c0_1(a1632)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a1624)
        & ~ c2_1(a1624)
        & ~ c0_1(a1624)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a1612)
        & ~ c0_1(a1612)
        & c3_1(a1612)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a1600)
        & ~ c2_1(a1600)
        & c0_1(a1600)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a1593)
        & c3_1(a1593)
        & c0_1(a1593)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a1581)
        & ~ c1_1(a1581)
        & c2_1(a1581)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a1575)
        & ~ c0_1(a1575)
        & c2_1(a1575)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a1574)
        & c3_1(a1574)
        & c1_1(a1574)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a1573)
        & ~ c1_1(a1573)
        & c0_1(a1573)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a1572)
        & c3_1(a1572)
        & c2_1(a1572)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a1570)
        & ~ c0_1(a1570)
        & c3_1(a1570)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a1566)
        & c3_1(a1566)
        & c2_1(a1566)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a1565)
        & ~ c2_1(a1565)
        & c1_1(a1565)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a1558)
        & c1_1(a1558)
        & c0_1(a1558)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a1556)
        & c2_1(a1556)
        & c1_1(a1556)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a1554)
        & c2_1(a1554)
        & c1_1(a1554)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a1553)
        & c2_1(a1553)
        & c0_1(a1553)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a1549)
        & c3_1(a1549)
        & c0_1(a1549)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a1548)
        & ~ c1_1(a1548)
        & ~ c0_1(a1548)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a1547)
        & c1_1(a1547)
        & c0_1(a1547)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a1545)
        & ~ c0_1(a1545)
        & c2_1(a1545)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a1543)
        & ~ c1_1(a1543)
        & c0_1(a1543)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a1539)
        & c3_1(a1539)
        & c1_1(a1539)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a1538)
        & ~ c2_1(a1538)
        & ~ c1_1(a1538)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a1536)
        & ~ c0_1(a1536)
        & c1_1(a1536)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a1535)
        & ~ c1_1(a1535)
        & c3_1(a1535)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a1534)
        & c2_1(a1534)
        & c0_1(a1534)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a1533)
        & ~ c0_1(a1533)
        & c1_1(a1533)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp9
      | hskp27
      | hskp5 )
    & ( hskp26
      | hskp3
      | hskp23 )
    & ( hskp3
      | hskp12
      | hskp10 )
    & ( hskp26
      | hskp15
      | hskp1 )
    & ( hskp7
      | hskp15
      | hskp31 )
    & ( hskp15
      | hskp20
      | hskp14 )
    & ( hskp4
      | hskp1
      | hskp14 )
    & ( hskp25
      | hskp19
      | hskp29 )
    & ( hskp22
      | hskp14
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp10
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c1_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp7
      | hskp31
      | ! [X2] :
          ( ndr1_0
         => ( ~ c2_1(X2)
            | ~ c1_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp21
      | hskp20
      | ! [X3] :
          ( ndr1_0
         => ( ~ c1_1(X3)
            | ~ c0_1(X3)
            | c3_1(X3) ) ) )
    & ( hskp23
      | ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | ~ c2_1(X4)
            | ~ c1_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( ~ c1_1(X5)
            | ~ c0_1(X5)
            | c3_1(X5) ) ) )
    & ( hskp5
      | ! [X6] :
          ( ndr1_0
         => ( ~ c3_1(X6)
            | ~ c1_1(X6)
            | ~ c0_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c1_1(X7)
            | c2_1(X7) ) ) )
    & ( ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c2_1(X8)
            | ~ c1_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | ~ c1_1(X9)
            | ~ c0_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c3_1(X10)
            | ~ c1_1(X10)
            | c2_1(X10) ) ) )
    & ( hskp24
      | hskp19
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | c3_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp15
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c1_1(X12)
            | ~ c0_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c1_1(X13)
            | c3_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp15
      | hskp28
      | ! [X14] :
          ( ndr1_0
         => ( ~ c0_1(X14)
            | c3_1(X14)
            | c2_1(X14) ) ) )
    & ( hskp13
      | hskp19
      | ! [X15] :
          ( ndr1_0
         => ( ~ c0_1(X15)
            | c3_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp23
      | hskp8
      | ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | c3_1(X16)
            | c2_1(X16) ) ) )
    & ( hskp3
      | hskp19
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c2_1(X17)
            | c1_1(X17) ) ) )
    & ( hskp3
      | hskp31
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c2_1(X18)
            | c1_1(X18) ) ) )
    & ( hskp19
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | ~ c0_1(X19)
            | c3_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c2_1(X20)
            | c1_1(X20) ) ) )
    & ( hskp15
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c0_1(X21)
            | c2_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c2_1(X22)
            | c1_1(X22) ) ) )
    & ( hskp13
      | hskp30
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c0_1(X23)
            | c1_1(X23) ) ) )
    & ( hskp21
      | ! [X24] :
          ( ndr1_0
         => ( ~ c2_1(X24)
            | ~ c1_1(X24)
            | c3_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | ~ c0_1(X25)
            | c1_1(X25) ) ) )
    & ( hskp14
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c1_1(X26)
            | c2_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c0_1(X27)
            | c1_1(X27) ) ) )
    & ( hskp22
      | ! [X28] :
          ( ndr1_0
         => ( ~ c1_1(X28)
            | ~ c0_1(X28)
            | c2_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | ~ c0_1(X29)
            | c1_1(X29) ) ) )
    & ( hskp6
      | hskp10
      | ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | ~ c0_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp1
      | hskp14
      | ! [X31] :
          ( ndr1_0
         => ( ~ c2_1(X31)
            | ~ c0_1(X31)
            | c1_1(X31) ) ) )
    & ( hskp1
      | ! [X32] :
          ( ndr1_0
         => ( ~ c2_1(X32)
            | ~ c1_1(X32)
            | c3_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c2_1(X33)
            | ~ c0_1(X33)
            | c1_1(X33) ) ) )
    & ( ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | ~ c2_1(X34)
            | ~ c1_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c2_1(X35)
            | ~ c0_1(X35)
            | c3_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c2_1(X36)
            | ~ c0_1(X36)
            | c1_1(X36) ) ) )
    & ( hskp21
      | ! [X37] :
          ( ndr1_0
         => ( ~ c1_1(X37)
            | ~ c0_1(X37)
            | c2_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c2_1(X38)
            | ~ c0_1(X38)
            | c1_1(X38) ) ) )
    & ( hskp20
      | ! [X39] :
          ( ndr1_0
         => ( ~ c1_1(X39)
            | c3_1(X39)
            | c2_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c2_1(X40)
            | ~ c0_1(X40)
            | c1_1(X40) ) ) )
    & ( hskp19
      | ! [X41] :
          ( ndr1_0
         => ( ~ c0_1(X41)
            | c3_1(X41)
            | c2_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c2_1(X42)
            | ~ c0_1(X42)
            | c1_1(X42) ) ) )
    & ( hskp18
      | hskp8
      | ! [X43] :
          ( ndr1_0
         => ( ~ c2_1(X43)
            | c3_1(X43)
            | c1_1(X43) ) ) )
    & ( hskp17
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c0_1(X44)
            | c2_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c0_1(X45)
            | c3_1(X45)
            | c1_1(X45) ) ) )
    & ( ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | ~ c1_1(X46)
            | ~ c0_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c2_1(X47)
            | ~ c0_1(X47)
            | c1_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c0_1(X48)
            | c3_1(X48)
            | c1_1(X48) ) ) )
    & ( hskp6
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c2_1(X49)
            | ~ c0_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | c2_1(X50)
            | c1_1(X50) ) ) )
    & ( hskp1
      | hskp11
      | ! [X51] :
          ( ndr1_0
         => ( ~ c0_1(X51)
            | c2_1(X51)
            | c1_1(X51) ) ) )
    & ( hskp16
      | ! [X52] :
          ( ndr1_0
         => ( ~ c1_1(X52)
            | c3_1(X52)
            | c2_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c0_1(X53)
            | c2_1(X53)
            | c1_1(X53) ) ) )
    & ( hskp15
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c2_1(X54)
            | ~ c0_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c3_1(X55)
            | c2_1(X55)
            | c1_1(X55) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c0_1(X56)
            | c2_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | c2_1(X57)
            | c1_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c2_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp28
      | hskp1
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c1_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp31
      | ! [X60] :
          ( ndr1_0
         => ( ~ c0_1(X60)
            | c3_1(X60)
            | c1_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | ~ c1_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp5
      | hskp14
      | ! [X62] :
          ( ndr1_0
         => ( ~ c2_1(X62)
            | ~ c1_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp10
      | ! [X63] :
          ( ndr1_0
         => ( ~ c1_1(X63)
            | ~ c0_1(X63)
            | c2_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c2_1(X64)
            | ~ c1_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp14
      | ! [X65] :
          ( ndr1_0
         => ( ~ c1_1(X65)
            | c3_1(X65)
            | c2_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c2_1(X66)
            | ~ c1_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp2
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | ~ c0_1(X67)
            | c1_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | ~ c1_1(X68)
            | c0_1(X68) ) ) )
    & ( ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | ~ c0_1(X69)
            | c1_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | ~ c2_1(X70)
            | c0_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c2_1(X71)
            | ~ c1_1(X71)
            | c0_1(X71) ) ) )
    & ( hskp13
      | ! [X72] :
          ( ndr1_0
         => ( ~ c3_1(X72)
            | ~ c0_1(X72)
            | c2_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c1_1(X73)
            | c3_1(X73)
            | c0_1(X73) ) ) )
    & ( hskp3
      | hskp12
      | ! [X74] :
          ( ndr1_0
         => ( ~ c3_1(X74)
            | c2_1(X74)
            | c0_1(X74) ) ) )
    & ( hskp11
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | ~ c2_1(X75)
            | ~ c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | c2_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp4
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | ~ c2_1(X77)
            | ~ c0_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | c2_1(X78)
            | c0_1(X78) ) ) )
    & ( hskp3
      | ! [X79] :
          ( ndr1_0
         => ( ~ c0_1(X79)
            | c2_1(X79)
            | c1_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | c2_1(X80)
            | c0_1(X80) ) ) )
    & ( hskp4
      | hskp10
      | ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | c2_1(X81)
            | c0_1(X81) ) ) )
    & ( hskp9
      | ! [X82] :
          ( ndr1_0
         => ( ~ c2_1(X82)
            | c3_1(X82)
            | c1_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | c2_1(X83)
            | c0_1(X83) ) ) )
    & ( ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | ~ c2_1(X84)
            | ~ c1_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | c2_1(X85)
            | c0_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | c2_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp8
      | hskp30
      | ! [X87] :
          ( ndr1_0
         => ( c3_1(X87)
            | c2_1(X87)
            | c0_1(X87) ) ) )
    & ( hskp7
      | ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | ~ c0_1(X88)
            | c2_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( c3_1(X89)
            | c2_1(X89)
            | c0_1(X89) ) ) )
    & ( ! [X90] :
          ( ndr1_0
         => ( ~ c0_1(X90)
            | c3_1(X90)
            | c2_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c0_1(X91)
            | c3_1(X91)
            | c1_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( c3_1(X92)
            | c2_1(X92)
            | c0_1(X92) ) ) )
    & ( hskp29
      | ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | ~ c1_1(X93)
            | c0_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | c2_1(X94)
            | c0_1(X94) ) ) )
    & ( ! [X95] :
          ( ndr1_0
         => ( ~ c0_1(X95)
            | c3_1(X95)
            | c1_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c2_1(X96)
            | c3_1(X96)
            | c0_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( c3_1(X97)
            | c2_1(X97)
            | c0_1(X97) ) ) )
    & ( hskp6
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | c2_1(X98)
            | c0_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( c3_1(X99)
            | c2_1(X99)
            | c0_1(X99) ) ) )
    & ( ! [X100] :
          ( ndr1_0
         => ( ~ c2_1(X100)
            | ~ c0_1(X100)
            | c3_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c1_1(X101)
            | ~ c0_1(X101)
            | c3_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | c1_1(X102)
            | c0_1(X102) ) ) )
    & ( ! [X103] :
          ( ndr1_0
         => ( ~ c2_1(X103)
            | ~ c0_1(X103)
            | c1_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( ~ c0_1(X104)
            | c2_1(X104)
            | c1_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | c1_1(X105)
            | c0_1(X105) ) ) )
    & ( ! [X106] :
          ( ndr1_0
         => ( ~ c2_1(X106)
            | ~ c1_1(X106)
            | ~ c0_1(X106) ) )
      | ! [X107] :
          ( ndr1_0
         => ( c3_1(X107)
            | c2_1(X107)
            | c1_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c3_1(X108)
            | c1_1(X108)
            | c0_1(X108) ) ) )
    & ( hskp28
      | ! [X109] :
          ( ndr1_0
         => ( ~ c3_1(X109)
            | ~ c1_1(X109)
            | c2_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( ~ c2_1(X110)
            | c1_1(X110)
            | c0_1(X110) ) ) )
    & ( hskp4
      | ! [X111] :
          ( ndr1_0
         => ( c3_1(X111)
            | c2_1(X111)
            | c1_1(X111) ) )
      | ! [X112] :
          ( ndr1_0
         => ( ~ c2_1(X112)
            | c1_1(X112)
            | c0_1(X112) ) ) )
    & ( hskp3
      | ! [X113] :
          ( ndr1_0
         => ( ~ c3_1(X113)
            | ~ c1_1(X113)
            | ~ c0_1(X113) ) )
      | ! [X114] :
          ( ndr1_0
         => ( c3_1(X114)
            | c1_1(X114)
            | c0_1(X114) ) ) )
    & ( hskp5
      | ! [X115] :
          ( ndr1_0
         => ( ~ c1_1(X115)
            | ~ c0_1(X115)
            | c3_1(X115) ) )
      | ! [X116] :
          ( ndr1_0
         => ( c3_1(X116)
            | c1_1(X116)
            | c0_1(X116) ) ) )
    & ( hskp4
      | ! [X117] :
          ( ndr1_0
         => ( ~ c3_1(X117)
            | ~ c2_1(X117)
            | c0_1(X117) ) )
      | ! [X118] :
          ( ndr1_0
         => ( c3_1(X118)
            | c1_1(X118)
            | c0_1(X118) ) ) )
    & ( hskp0
      | hskp3
      | ! [X119] :
          ( ndr1_0
         => ( c2_1(X119)
            | c1_1(X119)
            | c0_1(X119) ) ) )
    & ( hskp2
      | hskp1
      | ! [X120] :
          ( ndr1_0
         => ( c2_1(X120)
            | c1_1(X120)
            | c0_1(X120) ) ) )
    & ( hskp0
      | ! [X121] :
          ( ndr1_0
         => ( ~ c3_1(X121)
            | ~ c2_1(X121)
            | c1_1(X121) ) )
      | ! [X122] :
          ( ndr1_0
         => ( c2_1(X122)
            | c1_1(X122)
            | c0_1(X122) ) ) )
    & ( ! [X123] :
          ( ndr1_0
         => ( ~ c2_1(X123)
            | ~ c1_1(X123)
            | ~ c0_1(X123) ) )
      | ! [X124] :
          ( ndr1_0
         => ( ~ c2_1(X124)
            | c3_1(X124)
            | c0_1(X124) ) )
      | ! [X125] :
          ( ndr1_0
         => ( c2_1(X125)
            | c1_1(X125)
            | c0_1(X125) ) ) )
    & ( ( c3_1(a1562)
        & c2_1(a1562)
        & c0_1(a1562)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a1546)
        & c1_1(a1546)
        & c0_1(a1546)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a1544)
        & c1_1(a1544)
        & c0_1(a1544)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a1542)
        & c2_1(a1542)
        & c1_1(a1542)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c2_1(a1632)
        & ~ c1_1(a1632)
        & ~ c0_1(a1632)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a1624)
        & ~ c2_1(a1624)
        & ~ c0_1(a1624)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a1612)
        & ~ c0_1(a1612)
        & c3_1(a1612)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a1600)
        & ~ c2_1(a1600)
        & c0_1(a1600)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a1593)
        & c3_1(a1593)
        & c0_1(a1593)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a1581)
        & ~ c1_1(a1581)
        & c2_1(a1581)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a1575)
        & ~ c0_1(a1575)
        & c2_1(a1575)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a1574)
        & c3_1(a1574)
        & c1_1(a1574)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a1573)
        & ~ c1_1(a1573)
        & c0_1(a1573)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a1572)
        & c3_1(a1572)
        & c2_1(a1572)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a1570)
        & ~ c0_1(a1570)
        & c3_1(a1570)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a1566)
        & c3_1(a1566)
        & c2_1(a1566)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a1565)
        & ~ c2_1(a1565)
        & c1_1(a1565)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a1558)
        & c1_1(a1558)
        & c0_1(a1558)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a1556)
        & c2_1(a1556)
        & c1_1(a1556)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a1554)
        & c2_1(a1554)
        & c1_1(a1554)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a1553)
        & c2_1(a1553)
        & c0_1(a1553)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a1549)
        & c3_1(a1549)
        & c0_1(a1549)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a1548)
        & ~ c1_1(a1548)
        & ~ c0_1(a1548)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a1547)
        & c1_1(a1547)
        & c0_1(a1547)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a1545)
        & ~ c0_1(a1545)
        & c2_1(a1545)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a1543)
        & ~ c1_1(a1543)
        & c0_1(a1543)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a1539)
        & c3_1(a1539)
        & c1_1(a1539)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a1538)
        & ~ c2_1(a1538)
        & ~ c1_1(a1538)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a1536)
        & ~ c0_1(a1536)
        & c1_1(a1536)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a1535)
        & ~ c1_1(a1535)
        & c3_1(a1535)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a1534)
        & c2_1(a1534)
        & c0_1(a1534)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a1533)
        & ~ c0_1(a1533)
        & c1_1(a1533)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp9
          | hskp27
          | hskp5 )
        & ( hskp26
          | hskp3
          | hskp23 )
        & ( hskp3
          | hskp12
          | hskp10 )
        & ( hskp26
          | hskp15
          | hskp1 )
        & ( hskp7
          | hskp15
          | hskp31 )
        & ( hskp15
          | hskp20
          | hskp14 )
        & ( hskp4
          | hskp1
          | hskp14 )
        & ( hskp25
          | hskp19
          | hskp29 )
        & ( hskp22
          | hskp14
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp10
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c1_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp7
          | hskp31
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp21
          | hskp20
          | ! [X3] :
              ( ndr1_0
             => ( ~ c1_1(X3)
                | ~ c0_1(X3)
                | c3_1(X3) ) ) )
        & ( hskp23
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c2_1(X4)
                | ~ c1_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | ~ c0_1(X5)
                | c3_1(X5) ) ) )
        & ( hskp5
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c1_1(X6)
                | ~ c0_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c1_1(X7)
                | c2_1(X7) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c2_1(X8)
                | ~ c1_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c1_1(X9)
                | ~ c0_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c1_1(X10)
                | c2_1(X10) ) ) )
        & ( hskp24
          | hskp19
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | c3_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp15
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c1_1(X12)
                | ~ c0_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | c3_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp15
          | hskp28
          | ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | c3_1(X14)
                | c2_1(X14) ) ) )
        & ( hskp13
          | hskp19
          | ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | c3_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp23
          | hskp8
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) ) )
        & ( hskp3
          | hskp19
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c2_1(X17)
                | c1_1(X17) ) ) )
        & ( hskp3
          | hskp31
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c2_1(X18)
                | c1_1(X18) ) ) )
        & ( hskp19
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c0_1(X19)
                | c3_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c2_1(X20)
                | c1_1(X20) ) ) )
        & ( hskp15
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c0_1(X21)
                | c2_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | c1_1(X22) ) ) )
        & ( hskp13
          | hskp30
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c0_1(X23)
                | c1_1(X23) ) ) )
        & ( hskp21
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | ~ c1_1(X24)
                | c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c0_1(X25)
                | c1_1(X25) ) ) )
        & ( hskp14
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c1_1(X26)
                | c2_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c0_1(X27)
                | c1_1(X27) ) ) )
        & ( hskp22
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | ~ c0_1(X28)
                | c2_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c0_1(X29)
                | c1_1(X29) ) ) )
        & ( hskp6
          | hskp10
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | ~ c0_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp1
          | hskp14
          | ! [X31] :
              ( ndr1_0
             => ( ~ c2_1(X31)
                | ~ c0_1(X31)
                | c1_1(X31) ) ) )
        & ( hskp1
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | ~ c1_1(X32)
                | c3_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | ~ c0_1(X33)
                | c1_1(X33) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c2_1(X34)
                | ~ c1_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | ~ c0_1(X35)
                | c3_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c0_1(X36)
                | c1_1(X36) ) ) )
        & ( hskp21
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | ~ c0_1(X37)
                | c2_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | ~ c0_1(X38)
                | c1_1(X38) ) ) )
        & ( hskp20
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c3_1(X39)
                | c2_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | ~ c0_1(X40)
                | c1_1(X40) ) ) )
        & ( hskp19
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | c3_1(X41)
                | c2_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c0_1(X42)
                | c1_1(X42) ) ) )
        & ( hskp18
          | hskp8
          | ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | c3_1(X43)
                | c1_1(X43) ) ) )
        & ( hskp17
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c0_1(X44)
                | c2_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c0_1(X45)
                | c3_1(X45)
                | c1_1(X45) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c1_1(X46)
                | ~ c0_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | ~ c0_1(X47)
                | c1_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c0_1(X48)
                | c3_1(X48)
                | c1_1(X48) ) ) )
        & ( hskp6
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c2_1(X49)
                | ~ c0_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) ) )
        & ( hskp1
          | hskp11
          | ! [X51] :
              ( ndr1_0
             => ( ~ c0_1(X51)
                | c2_1(X51)
                | c1_1(X51) ) ) )
        & ( hskp16
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c3_1(X52)
                | c2_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c0_1(X53)
                | c2_1(X53)
                | c1_1(X53) ) ) )
        & ( hskp15
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c2_1(X54)
                | ~ c0_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c3_1(X55)
                | c2_1(X55)
                | c1_1(X55) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c0_1(X56)
                | c2_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | c2_1(X57)
                | c1_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp28
          | hskp1
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp31
          | ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | c3_1(X60)
                | c1_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp5
          | hskp14
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp10
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | ~ c0_1(X63)
                | c2_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp14
          | ! [X65] :
              ( ndr1_0
             => ( ~ c1_1(X65)
                | c3_1(X65)
                | c2_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | ~ c1_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp2
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c0_1(X67)
                | c1_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c1_1(X68)
                | c0_1(X68) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c0_1(X69)
                | c1_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c2_1(X70)
                | c0_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | ~ c1_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp13
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c0_1(X72)
                | c2_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | c3_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp3
          | hskp12
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | c2_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp11
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c2_1(X75)
                | ~ c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c2_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp4
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c2_1(X77)
                | ~ c0_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c2_1(X78)
                | c0_1(X78) ) ) )
        & ( hskp3
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c2_1(X79)
                | c1_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c0_1(X80) ) ) )
        & ( hskp4
          | hskp10
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | c2_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp9
          | ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | c3_1(X82)
                | c1_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | c2_1(X83)
                | c0_1(X83) ) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c2_1(X84)
                | ~ c1_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | c2_1(X85)
                | c0_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c2_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp8
          | hskp30
          | ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | c2_1(X87)
                | c0_1(X87) ) ) )
        & ( hskp7
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c0_1(X88)
                | c2_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | c2_1(X89)
                | c0_1(X89) ) ) )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | c3_1(X90)
                | c2_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | c3_1(X91)
                | c1_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( c3_1(X92)
                | c2_1(X92)
                | c0_1(X92) ) ) )
        & ( hskp29
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c1_1(X93)
                | c0_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | c2_1(X94)
                | c0_1(X94) ) ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c0_1(X95)
                | c3_1(X95)
                | c1_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | c3_1(X96)
                | c0_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( c3_1(X97)
                | c2_1(X97)
                | c0_1(X97) ) ) )
        & ( hskp6
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | c2_1(X98)
                | c0_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( c3_1(X99)
                | c2_1(X99)
                | c0_1(X99) ) ) )
        & ( ! [X100] :
              ( ndr1_0
             => ( ~ c2_1(X100)
                | ~ c0_1(X100)
                | c3_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | ~ c0_1(X101)
                | c3_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | c1_1(X102)
                | c0_1(X102) ) ) )
        & ( ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | ~ c0_1(X103)
                | c1_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | c2_1(X104)
                | c1_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | c1_1(X105)
                | c0_1(X105) ) ) )
        & ( ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | ~ c1_1(X106)
                | ~ c0_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( c3_1(X107)
                | c2_1(X107)
                | c1_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | c1_1(X108)
                | c0_1(X108) ) ) )
        & ( hskp28
          | ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | ~ c1_1(X109)
                | c2_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | c1_1(X110)
                | c0_1(X110) ) ) )
        & ( hskp4
          | ! [X111] :
              ( ndr1_0
             => ( c3_1(X111)
                | c2_1(X111)
                | c1_1(X111) ) )
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | c1_1(X112)
                | c0_1(X112) ) ) )
        & ( hskp3
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c1_1(X113)
                | ~ c0_1(X113) ) )
          | ! [X114] :
              ( ndr1_0
             => ( c3_1(X114)
                | c1_1(X114)
                | c0_1(X114) ) ) )
        & ( hskp5
          | ! [X115] :
              ( ndr1_0
             => ( ~ c1_1(X115)
                | ~ c0_1(X115)
                | c3_1(X115) ) )
          | ! [X116] :
              ( ndr1_0
             => ( c3_1(X116)
                | c1_1(X116)
                | c0_1(X116) ) ) )
        & ( hskp4
          | ! [X117] :
              ( ndr1_0
             => ( ~ c3_1(X117)
                | ~ c2_1(X117)
                | c0_1(X117) ) )
          | ! [X118] :
              ( ndr1_0
             => ( c3_1(X118)
                | c1_1(X118)
                | c0_1(X118) ) ) )
        & ( hskp0
          | hskp3
          | ! [X119] :
              ( ndr1_0
             => ( c2_1(X119)
                | c1_1(X119)
                | c0_1(X119) ) ) )
        & ( hskp2
          | hskp1
          | ! [X120] :
              ( ndr1_0
             => ( c2_1(X120)
                | c1_1(X120)
                | c0_1(X120) ) ) )
        & ( hskp0
          | ! [X121] :
              ( ndr1_0
             => ( ~ c3_1(X121)
                | ~ c2_1(X121)
                | c1_1(X121) ) )
          | ! [X122] :
              ( ndr1_0
             => ( c2_1(X122)
                | c1_1(X122)
                | c0_1(X122) ) ) )
        & ( ! [X123] :
              ( ndr1_0
             => ( ~ c2_1(X123)
                | ~ c1_1(X123)
                | ~ c0_1(X123) ) )
          | ! [X124] :
              ( ndr1_0
             => ( ~ c2_1(X124)
                | c3_1(X124)
                | c0_1(X124) ) )
          | ! [X125] :
              ( ndr1_0
             => ( c2_1(X125)
                | c1_1(X125)
                | c0_1(X125) ) ) )
        & ( ( c3_1(a1562)
            & c2_1(a1562)
            & c0_1(a1562)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a1546)
            & c1_1(a1546)
            & c0_1(a1546)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a1544)
            & c1_1(a1544)
            & c0_1(a1544)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a1542)
            & c2_1(a1542)
            & c1_1(a1542)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c2_1(a1632)
            & ~ c1_1(a1632)
            & ~ c0_1(a1632)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a1624)
            & ~ c2_1(a1624)
            & ~ c0_1(a1624)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a1612)
            & ~ c0_1(a1612)
            & c3_1(a1612)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a1600)
            & ~ c2_1(a1600)
            & c0_1(a1600)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a1593)
            & c3_1(a1593)
            & c0_1(a1593)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a1581)
            & ~ c1_1(a1581)
            & c2_1(a1581)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a1575)
            & ~ c0_1(a1575)
            & c2_1(a1575)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a1574)
            & c3_1(a1574)
            & c1_1(a1574)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a1573)
            & ~ c1_1(a1573)
            & c0_1(a1573)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c0_1(a1572)
            & c3_1(a1572)
            & c2_1(a1572)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a1570)
            & ~ c0_1(a1570)
            & c3_1(a1570)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a1566)
            & c3_1(a1566)
            & c2_1(a1566)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a1565)
            & ~ c2_1(a1565)
            & c1_1(a1565)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a1558)
            & c1_1(a1558)
            & c0_1(a1558)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a1556)
            & c2_1(a1556)
            & c1_1(a1556)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c0_1(a1554)
            & c2_1(a1554)
            & c1_1(a1554)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a1553)
            & c2_1(a1553)
            & c0_1(a1553)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a1549)
            & c3_1(a1549)
            & c0_1(a1549)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a1548)
            & ~ c1_1(a1548)
            & ~ c0_1(a1548)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a1547)
            & c1_1(a1547)
            & c0_1(a1547)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a1545)
            & ~ c0_1(a1545)
            & c2_1(a1545)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a1543)
            & ~ c1_1(a1543)
            & c0_1(a1543)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a1539)
            & c3_1(a1539)
            & c1_1(a1539)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a1538)
            & ~ c2_1(a1538)
            & ~ c1_1(a1538)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a1536)
            & ~ c0_1(a1536)
            & c1_1(a1536)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a1535)
            & ~ c1_1(a1535)
            & c3_1(a1535)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a1534)
            & c2_1(a1534)
            & c0_1(a1534)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a1533)
            & ~ c0_1(a1533)
            & c1_1(a1533)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp9
          | hskp27
          | hskp5 )
        & ( hskp26
          | hskp3
          | hskp23 )
        & ( hskp3
          | hskp12
          | hskp10 )
        & ( hskp26
          | hskp15
          | hskp1 )
        & ( hskp7
          | hskp15
          | hskp31 )
        & ( hskp15
          | hskp20
          | hskp14 )
        & ( hskp4
          | hskp1
          | hskp14 )
        & ( hskp25
          | hskp19
          | hskp29 )
        & ( hskp22
          | hskp14
          | ! [X125] :
              ( ndr1_0
             => ( ~ c3_1(X125)
                | ~ c2_1(X125)
                | ~ c1_1(X125) ) ) )
        & ( hskp10
          | ! [X124] :
              ( ndr1_0
             => ( ~ c3_1(X124)
                | ~ c1_1(X124)
                | ~ c0_1(X124) ) ) )
        & ( hskp7
          | hskp31
          | ! [X123] :
              ( ndr1_0
             => ( ~ c2_1(X123)
                | ~ c1_1(X123)
                | ~ c0_1(X123) ) ) )
        & ( hskp21
          | hskp20
          | ! [X122] :
              ( ndr1_0
             => ( ~ c1_1(X122)
                | ~ c0_1(X122)
                | c3_1(X122) ) ) )
        & ( hskp23
          | ! [X121] :
              ( ndr1_0
             => ( ~ c3_1(X121)
                | ~ c2_1(X121)
                | ~ c1_1(X121) ) )
          | ! [X120] :
              ( ndr1_0
             => ( ~ c1_1(X120)
                | ~ c0_1(X120)
                | c3_1(X120) ) ) )
        & ( hskp5
          | ! [X119] :
              ( ndr1_0
             => ( ~ c3_1(X119)
                | ~ c1_1(X119)
                | ~ c0_1(X119) ) )
          | ! [X118] :
              ( ndr1_0
             => ( ~ c3_1(X118)
                | ~ c1_1(X118)
                | c2_1(X118) ) ) )
        & ( ! [X117] :
              ( ndr1_0
             => ( ~ c3_1(X117)
                | ~ c2_1(X117)
                | ~ c1_1(X117) ) )
          | ! [X116] :
              ( ndr1_0
             => ( ~ c2_1(X116)
                | ~ c1_1(X116)
                | ~ c0_1(X116) ) )
          | ! [X115] :
              ( ndr1_0
             => ( ~ c3_1(X115)
                | ~ c1_1(X115)
                | c2_1(X115) ) ) )
        & ( hskp24
          | hskp19
          | ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | c3_1(X114)
                | c2_1(X114) ) ) )
        & ( hskp15
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c1_1(X113)
                | ~ c0_1(X113) ) )
          | ! [X112] :
              ( ndr1_0
             => ( ~ c1_1(X112)
                | c3_1(X112)
                | c2_1(X112) ) ) )
        & ( hskp15
          | hskp28
          | ! [X111] :
              ( ndr1_0
             => ( ~ c0_1(X111)
                | c3_1(X111)
                | c2_1(X111) ) ) )
        & ( hskp13
          | hskp19
          | ! [X110] :
              ( ndr1_0
             => ( ~ c0_1(X110)
                | c3_1(X110)
                | c2_1(X110) ) ) )
        & ( hskp23
          | hskp8
          | ! [X109] :
              ( ndr1_0
             => ( ~ c0_1(X109)
                | c3_1(X109)
                | c2_1(X109) ) ) )
        & ( hskp3
          | hskp19
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c2_1(X108)
                | c1_1(X108) ) ) )
        & ( hskp3
          | hskp31
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c2_1(X107)
                | c1_1(X107) ) ) )
        & ( hskp19
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | ~ c0_1(X106)
                | c3_1(X106) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c2_1(X105)
                | c1_1(X105) ) ) )
        & ( hskp15
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c0_1(X104)
                | c2_1(X104) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c2_1(X103)
                | c1_1(X103) ) ) )
        & ( hskp13
          | hskp30
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c0_1(X102)
                | c1_1(X102) ) ) )
        & ( hskp21
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c1_1(X101)
                | c3_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c0_1(X100)
                | c1_1(X100) ) ) )
        & ( hskp14
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c1_1(X99)
                | c2_1(X99) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c0_1(X98)
                | c1_1(X98) ) ) )
        & ( hskp22
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | ~ c0_1(X97)
                | c2_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c1_1(X96) ) ) )
        & ( hskp6
          | hskp10
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c0_1(X95)
                | c1_1(X95) ) ) )
        & ( hskp1
          | hskp14
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | ~ c0_1(X94)
                | c1_1(X94) ) ) )
        & ( hskp1
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | ~ c1_1(X93)
                | c3_1(X93) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | ~ c0_1(X92)
                | c1_1(X92) ) ) )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c2_1(X91)
                | ~ c1_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | ~ c0_1(X90)
                | c3_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c0_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp21
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | ~ c0_1(X88)
                | c2_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c0_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp20
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c3_1(X86)
                | c2_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | ~ c0_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp19
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | c3_1(X84)
                | c2_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c2_1(X83)
                | ~ c0_1(X83)
                | c1_1(X83) ) ) )
        & ( hskp18
          | hskp8
          | ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | c3_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp17
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c0_1(X81)
                | c2_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | c3_1(X80)
                | c1_1(X80) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c1_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | ~ c0_1(X78)
                | c1_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c3_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp6
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c2_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c2_1(X75)
                | c1_1(X75) ) ) )
        & ( hskp1
          | hskp11
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp16
          | ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | c3_1(X73)
                | c2_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp15
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c2_1(X71)
                | ~ c0_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c0_1(X69)
                | c2_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c2_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp28
          | hskp1
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c1_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp31
          | ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | c3_1(X65)
                | c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp5
          | hskp14
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | ~ c1_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp10
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | ~ c0_1(X62)
                | c2_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp14
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | c3_1(X60)
                | c2_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp2
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c0_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c0_1(X56)
                | c1_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | c0_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp13
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c0_1(X53)
                | c2_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c3_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp3
          | hskp12
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | c2_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp11
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c2_1(X50)
                | ~ c1_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | c2_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp4
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c2_1(X48)
                | ~ c0_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | c2_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp3
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | c2_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp4
          | hskp10
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | c2_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp9
          | ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | c3_1(X43)
                | c1_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | c2_1(X42)
                | c0_1(X42) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | ~ c1_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c0_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp8
          | hskp30
          | ! [X38] :
              ( ndr1_0
             => ( c3_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp7
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | ~ c0_1(X37)
                | c2_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c3_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | c3_1(X35)
                | c2_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c3_1(X34)
                | c1_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c3_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp29
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c1_1(X32)
                | c0_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | c3_1(X30)
                | c1_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | c3_1(X29)
                | c0_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c3_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp6
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c3_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | ~ c0_1(X25)
                | c3_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | ~ c0_1(X24)
                | c3_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | c1_1(X23)
                | c0_1(X23) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | ~ c0_1(X22)
                | c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c0_1(X21)
                | c2_1(X21)
                | c1_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c1_1(X19)
                | ~ c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | c2_1(X18)
                | c1_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp28
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c1_1(X16)
                | c2_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp4
          | ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | c2_1(X14)
                | c1_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp3
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c1_1(X12)
                | ~ c0_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp5
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | ~ c0_1(X10)
                | c3_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( hskp4
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c2_1(X8)
                | c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp0
          | hskp3
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp2
          | hskp1
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c2_1(X4)
                | c1_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | c3_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a1562)
            & c2_1(a1562)
            & c0_1(a1562)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a1546)
            & c1_1(a1546)
            & c0_1(a1546)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a1544)
            & c1_1(a1544)
            & c0_1(a1544)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a1542)
            & c2_1(a1542)
            & c1_1(a1542)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c2_1(a1632)
            & ~ c1_1(a1632)
            & ~ c0_1(a1632)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a1624)
            & ~ c2_1(a1624)
            & ~ c0_1(a1624)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a1612)
            & ~ c0_1(a1612)
            & c3_1(a1612)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a1600)
            & ~ c2_1(a1600)
            & c0_1(a1600)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a1593)
            & c3_1(a1593)
            & c0_1(a1593)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a1581)
            & ~ c1_1(a1581)
            & c2_1(a1581)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a1575)
            & ~ c0_1(a1575)
            & c2_1(a1575)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a1574)
            & c3_1(a1574)
            & c1_1(a1574)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a1573)
            & ~ c1_1(a1573)
            & c0_1(a1573)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c0_1(a1572)
            & c3_1(a1572)
            & c2_1(a1572)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a1570)
            & ~ c0_1(a1570)
            & c3_1(a1570)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a1566)
            & c3_1(a1566)
            & c2_1(a1566)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a1565)
            & ~ c2_1(a1565)
            & c1_1(a1565)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a1558)
            & c1_1(a1558)
            & c0_1(a1558)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a1556)
            & c2_1(a1556)
            & c1_1(a1556)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c0_1(a1554)
            & c2_1(a1554)
            & c1_1(a1554)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a1553)
            & c2_1(a1553)
            & c0_1(a1553)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a1549)
            & c3_1(a1549)
            & c0_1(a1549)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a1548)
            & ~ c1_1(a1548)
            & ~ c0_1(a1548)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a1547)
            & c1_1(a1547)
            & c0_1(a1547)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a1545)
            & ~ c0_1(a1545)
            & c2_1(a1545)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a1543)
            & ~ c1_1(a1543)
            & c0_1(a1543)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a1539)
            & c3_1(a1539)
            & c1_1(a1539)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a1538)
            & ~ c2_1(a1538)
            & ~ c1_1(a1538)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a1536)
            & ~ c0_1(a1536)
            & c1_1(a1536)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a1535)
            & ~ c1_1(a1535)
            & c3_1(a1535)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a1534)
            & c2_1(a1534)
            & c0_1(a1534)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a1533)
            & ~ c0_1(a1533)
            & c1_1(a1533)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp9
        | hskp27
        | hskp5 )
      & ( hskp26
        | hskp3
        | hskp23 )
      & ( hskp3
        | hskp12
        | hskp10 )
      & ( hskp26
        | hskp15
        | hskp1 )
      & ( hskp7
        | hskp15
        | hskp31 )
      & ( hskp15
        | hskp20
        | hskp14 )
      & ( hskp4
        | hskp1
        | hskp14 )
      & ( hskp25
        | hskp19
        | hskp29 )
      & ( hskp22
        | hskp14
        | ! [X125] :
            ( ndr1_0
           => ( ~ c3_1(X125)
              | ~ c2_1(X125)
              | ~ c1_1(X125) ) ) )
      & ( hskp10
        | ! [X124] :
            ( ndr1_0
           => ( ~ c3_1(X124)
              | ~ c1_1(X124)
              | ~ c0_1(X124) ) ) )
      & ( hskp7
        | hskp31
        | ! [X123] :
            ( ndr1_0
           => ( ~ c2_1(X123)
              | ~ c1_1(X123)
              | ~ c0_1(X123) ) ) )
      & ( hskp21
        | hskp20
        | ! [X122] :
            ( ndr1_0
           => ( ~ c1_1(X122)
              | ~ c0_1(X122)
              | c3_1(X122) ) ) )
      & ( hskp23
        | ! [X121] :
            ( ndr1_0
           => ( ~ c3_1(X121)
              | ~ c2_1(X121)
              | ~ c1_1(X121) ) )
        | ! [X120] :
            ( ndr1_0
           => ( ~ c1_1(X120)
              | ~ c0_1(X120)
              | c3_1(X120) ) ) )
      & ( hskp5
        | ! [X119] :
            ( ndr1_0
           => ( ~ c3_1(X119)
              | ~ c1_1(X119)
              | ~ c0_1(X119) ) )
        | ! [X118] :
            ( ndr1_0
           => ( ~ c3_1(X118)
              | ~ c1_1(X118)
              | c2_1(X118) ) ) )
      & ( ! [X117] :
            ( ndr1_0
           => ( ~ c3_1(X117)
              | ~ c2_1(X117)
              | ~ c1_1(X117) ) )
        | ! [X116] :
            ( ndr1_0
           => ( ~ c2_1(X116)
              | ~ c1_1(X116)
              | ~ c0_1(X116) ) )
        | ! [X115] :
            ( ndr1_0
           => ( ~ c3_1(X115)
              | ~ c1_1(X115)
              | c2_1(X115) ) ) )
      & ( hskp24
        | hskp19
        | ! [X114] :
            ( ndr1_0
           => ( ~ c1_1(X114)
              | c3_1(X114)
              | c2_1(X114) ) ) )
      & ( hskp15
        | ! [X113] :
            ( ndr1_0
           => ( ~ c3_1(X113)
              | ~ c1_1(X113)
              | ~ c0_1(X113) ) )
        | ! [X112] :
            ( ndr1_0
           => ( ~ c1_1(X112)
              | c3_1(X112)
              | c2_1(X112) ) ) )
      & ( hskp15
        | hskp28
        | ! [X111] :
            ( ndr1_0
           => ( ~ c0_1(X111)
              | c3_1(X111)
              | c2_1(X111) ) ) )
      & ( hskp13
        | hskp19
        | ! [X110] :
            ( ndr1_0
           => ( ~ c0_1(X110)
              | c3_1(X110)
              | c2_1(X110) ) ) )
      & ( hskp23
        | hskp8
        | ! [X109] :
            ( ndr1_0
           => ( ~ c0_1(X109)
              | c3_1(X109)
              | c2_1(X109) ) ) )
      & ( hskp3
        | hskp19
        | ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c2_1(X108)
              | c1_1(X108) ) ) )
      & ( hskp3
        | hskp31
        | ! [X107] :
            ( ndr1_0
           => ( ~ c3_1(X107)
              | ~ c2_1(X107)
              | c1_1(X107) ) ) )
      & ( hskp19
        | ! [X106] :
            ( ndr1_0
           => ( ~ c2_1(X106)
              | ~ c0_1(X106)
              | c3_1(X106) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c2_1(X105)
              | c1_1(X105) ) ) )
      & ( hskp15
        | ! [X104] :
            ( ndr1_0
           => ( ~ c3_1(X104)
              | ~ c0_1(X104)
              | c2_1(X104) ) )
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c2_1(X103)
              | c1_1(X103) ) ) )
      & ( hskp13
        | hskp30
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c0_1(X102)
              | c1_1(X102) ) ) )
      & ( hskp21
        | ! [X101] :
            ( ndr1_0
           => ( ~ c2_1(X101)
              | ~ c1_1(X101)
              | c3_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c0_1(X100)
              | c1_1(X100) ) ) )
      & ( hskp14
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c1_1(X99)
              | c2_1(X99) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c0_1(X98)
              | c1_1(X98) ) ) )
      & ( hskp22
        | ! [X97] :
            ( ndr1_0
           => ( ~ c1_1(X97)
              | ~ c0_1(X97)
              | c2_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c0_1(X96)
              | c1_1(X96) ) ) )
      & ( hskp6
        | hskp10
        | ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c0_1(X95)
              | c1_1(X95) ) ) )
      & ( hskp1
        | hskp14
        | ! [X94] :
            ( ndr1_0
           => ( ~ c2_1(X94)
              | ~ c0_1(X94)
              | c1_1(X94) ) ) )
      & ( hskp1
        | ! [X93] :
            ( ndr1_0
           => ( ~ c2_1(X93)
              | ~ c1_1(X93)
              | c3_1(X93) ) )
        | ! [X92] :
            ( ndr1_0
           => ( ~ c2_1(X92)
              | ~ c0_1(X92)
              | c1_1(X92) ) ) )
      & ( ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c2_1(X91)
              | ~ c1_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c2_1(X90)
              | ~ c0_1(X90)
              | c3_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | ~ c0_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp21
        | ! [X88] :
            ( ndr1_0
           => ( ~ c1_1(X88)
              | ~ c0_1(X88)
              | c2_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | ~ c0_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp20
        | ! [X86] :
            ( ndr1_0
           => ( ~ c1_1(X86)
              | c3_1(X86)
              | c2_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c2_1(X85)
              | ~ c0_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp19
        | ! [X84] :
            ( ndr1_0
           => ( ~ c0_1(X84)
              | c3_1(X84)
              | c2_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c2_1(X83)
              | ~ c0_1(X83)
              | c1_1(X83) ) ) )
      & ( hskp18
        | hskp8
        | ! [X82] :
            ( ndr1_0
           => ( ~ c2_1(X82)
              | c3_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp17
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c0_1(X81)
              | c2_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c0_1(X80)
              | c3_1(X80)
              | c1_1(X80) ) ) )
      & ( ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c1_1(X79)
              | ~ c0_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c2_1(X78)
              | ~ c0_1(X78)
              | c1_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | c3_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp6
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c2_1(X76)
              | ~ c0_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | c2_1(X75)
              | c1_1(X75) ) ) )
      & ( hskp1
        | hskp11
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c2_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp16
        | ! [X73] :
            ( ndr1_0
           => ( ~ c1_1(X73)
              | c3_1(X73)
              | c2_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c0_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp15
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c2_1(X71)
              | ~ c0_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c0_1(X69)
              | c2_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c2_1(X67)
              | c0_1(X67) ) ) )
      & ( hskp28
        | hskp1
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c1_1(X66)
              | c0_1(X66) ) ) )
      & ( hskp31
        | ! [X65] :
            ( ndr1_0
           => ( ~ c0_1(X65)
              | c3_1(X65)
              | c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c1_1(X64)
              | c0_1(X64) ) ) )
      & ( hskp5
        | hskp14
        | ! [X63] :
            ( ndr1_0
           => ( ~ c2_1(X63)
              | ~ c1_1(X63)
              | c0_1(X63) ) ) )
      & ( hskp10
        | ! [X62] :
            ( ndr1_0
           => ( ~ c1_1(X62)
              | ~ c0_1(X62)
              | c2_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c2_1(X61)
              | ~ c1_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp14
        | ! [X60] :
            ( ndr1_0
           => ( ~ c1_1(X60)
              | c3_1(X60)
              | c2_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c2_1(X59)
              | ~ c1_1(X59)
              | c0_1(X59) ) ) )
      & ( hskp2
        | ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | ~ c0_1(X58)
              | c1_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | ~ c1_1(X57)
              | c0_1(X57) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c0_1(X56)
              | c1_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c2_1(X55)
              | c0_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | ~ c1_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp13
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | ~ c0_1(X53)
              | c2_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | c3_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp3
        | hskp12
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | c2_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp11
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | ~ c2_1(X50)
              | ~ c1_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | c2_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp4
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | ~ c2_1(X48)
              | ~ c0_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | c2_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp3
        | ! [X46] :
            ( ndr1_0
           => ( ~ c0_1(X46)
              | c2_1(X46)
              | c1_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | c2_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp4
        | hskp10
        | ! [X44] :
            ( ndr1_0
           => ( ~ c1_1(X44)
              | c2_1(X44)
              | c0_1(X44) ) ) )
      & ( hskp9
        | ! [X43] :
            ( ndr1_0
           => ( ~ c2_1(X43)
              | c3_1(X43)
              | c1_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c1_1(X42)
              | c2_1(X42)
              | c0_1(X42) ) ) )
      & ( ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | ~ c2_1(X41)
              | ~ c1_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | c2_1(X40)
              | c0_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp8
        | hskp30
        | ! [X38] :
            ( ndr1_0
           => ( c3_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp7
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | ~ c0_1(X37)
              | c2_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c3_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( ~ c0_1(X35)
              | c3_1(X35)
              | c2_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c0_1(X34)
              | c3_1(X34)
              | c1_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c3_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp29
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | ~ c1_1(X32)
              | c0_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( ~ c0_1(X30)
              | c3_1(X30)
              | c1_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c2_1(X29)
              | c3_1(X29)
              | c0_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c3_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp6
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c3_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) ) )
      & ( ! [X25] :
            ( ndr1_0
           => ( ~ c2_1(X25)
              | ~ c0_1(X25)
              | c3_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c1_1(X24)
              | ~ c0_1(X24)
              | c3_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | c1_1(X23)
              | c0_1(X23) ) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( ~ c2_1(X22)
              | ~ c0_1(X22)
              | c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c0_1(X21)
              | c2_1(X21)
              | c1_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | ~ c1_1(X19)
              | ~ c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c3_1(X18)
              | c2_1(X18)
              | c1_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp28
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | ~ c1_1(X16)
              | c2_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c2_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp4
        | ! [X14] :
            ( ndr1_0
           => ( c3_1(X14)
              | c2_1(X14)
              | c1_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( hskp3
        | ! [X12] :
            ( ndr1_0
           => ( ~ c3_1(X12)
              | ~ c1_1(X12)
              | ~ c0_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp5
        | ! [X10] :
            ( ndr1_0
           => ( ~ c1_1(X10)
              | ~ c0_1(X10)
              | c3_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( hskp4
        | ! [X8] :
            ( ndr1_0
           => ( ~ c3_1(X8)
              | ~ c2_1(X8)
              | c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp0
        | hskp3
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp2
        | hskp1
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp0
        | ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | ~ c2_1(X4)
              | c1_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c2_1(X2)
              | ~ c1_1(X2)
              | ~ c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | c3_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a1562)
          & c2_1(a1562)
          & c0_1(a1562)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c3_1(a1546)
          & c1_1(a1546)
          & c0_1(a1546)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c2_1(a1544)
          & c1_1(a1544)
          & c0_1(a1544)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a1542)
          & c2_1(a1542)
          & c1_1(a1542)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c2_1(a1632)
          & ~ c1_1(a1632)
          & ~ c0_1(a1632)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a1624)
          & ~ c2_1(a1624)
          & ~ c0_1(a1624)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c2_1(a1612)
          & ~ c0_1(a1612)
          & c3_1(a1612)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a1600)
          & ~ c2_1(a1600)
          & c0_1(a1600)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c2_1(a1593)
          & c3_1(a1593)
          & c0_1(a1593)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a1581)
          & ~ c1_1(a1581)
          & c2_1(a1581)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c1_1(a1575)
          & ~ c0_1(a1575)
          & c2_1(a1575)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a1574)
          & c3_1(a1574)
          & c1_1(a1574)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a1573)
          & ~ c1_1(a1573)
          & c0_1(a1573)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c0_1(a1572)
          & c3_1(a1572)
          & c2_1(a1572)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c1_1(a1570)
          & ~ c0_1(a1570)
          & c3_1(a1570)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c1_1(a1566)
          & c3_1(a1566)
          & c2_1(a1566)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a1565)
          & ~ c2_1(a1565)
          & c1_1(a1565)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a1558)
          & c1_1(a1558)
          & c0_1(a1558)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a1556)
          & c2_1(a1556)
          & c1_1(a1556)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c0_1(a1554)
          & c2_1(a1554)
          & c1_1(a1554)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c1_1(a1553)
          & c2_1(a1553)
          & c0_1(a1553)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c1_1(a1549)
          & c3_1(a1549)
          & c0_1(a1549)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a1548)
          & ~ c1_1(a1548)
          & ~ c0_1(a1548)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a1547)
          & c1_1(a1547)
          & c0_1(a1547)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a1545)
          & ~ c0_1(a1545)
          & c2_1(a1545)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a1543)
          & ~ c1_1(a1543)
          & c0_1(a1543)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c0_1(a1539)
          & c3_1(a1539)
          & c1_1(a1539)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a1538)
          & ~ c2_1(a1538)
          & ~ c1_1(a1538)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a1536)
          & ~ c0_1(a1536)
          & c1_1(a1536)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c2_1(a1535)
          & ~ c1_1(a1535)
          & c3_1(a1535)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a1534)
          & c2_1(a1534)
          & c0_1(a1534)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a1533)
          & ~ c0_1(a1533)
          & c1_1(a1533)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.HKFxOlVtD3/Vampire---4.8_23448',co1) ).

fof(f1055,plain,
    ( ~ spl0_9
    | spl0_158 ),
    inference(avatar_split_clause,[],[f12,f1052,f293]) ).

fof(f12,plain,
    ( c0_1(a1534)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1050,plain,
    ( ~ spl0_9
    | spl0_157 ),
    inference(avatar_split_clause,[],[f13,f1047,f293]) ).

fof(f13,plain,
    ( c2_1(a1534)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1045,plain,
    ( ~ spl0_9
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f14,f1042,f293]) ).

fof(f14,plain,
    ( ~ c3_1(a1534)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1023,plain,
    ( ~ spl0_5
    | spl0_152 ),
    inference(avatar_split_clause,[],[f20,f1020,f275]) ).

fof(f275,plain,
    ( spl0_5
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f20,plain,
    ( c1_1(a1536)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1018,plain,
    ( ~ spl0_5
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f21,f1015,f275]) ).

fof(f21,plain,
    ( ~ c0_1(a1536)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1013,plain,
    ( ~ spl0_5
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f22,f1010,f275]) ).

fof(f22,plain,
    ( ~ c2_1(a1536)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1008,plain,
    ( ~ spl0_15
    | spl0_19 ),
    inference(avatar_split_clause,[],[f23,f338,f320]) ).

fof(f320,plain,
    ( spl0_15
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f23,plain,
    ( ndr1_0
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1007,plain,
    ( ~ spl0_15
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f24,f1004,f320]) ).

fof(f24,plain,
    ( ~ c1_1(a1538)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1002,plain,
    ( ~ spl0_15
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f25,f999,f320]) ).

fof(f25,plain,
    ( ~ c2_1(a1538)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f997,plain,
    ( ~ spl0_15
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f26,f994,f320]) ).

fof(f26,plain,
    ( ~ c3_1(a1538)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f991,plain,
    ( ~ spl0_1
    | spl0_146 ),
    inference(avatar_split_clause,[],[f28,f988,f258]) ).

fof(f258,plain,
    ( spl0_1
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f28,plain,
    ( c1_1(a1539)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f986,plain,
    ( ~ spl0_1
    | spl0_145 ),
    inference(avatar_split_clause,[],[f29,f983,f258]) ).

fof(f29,plain,
    ( c3_1(a1539)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f981,plain,
    ( ~ spl0_1
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f30,f978,f258]) ).

fof(f30,plain,
    ( ~ c0_1(a1539)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f975,plain,
    ( ~ spl0_41
    | spl0_143 ),
    inference(avatar_split_clause,[],[f32,f972,f432]) ).

fof(f432,plain,
    ( spl0_41
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f32,plain,
    ( c0_1(a1543)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f970,plain,
    ( ~ spl0_41
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f33,f967,f432]) ).

fof(f33,plain,
    ( ~ c1_1(a1543)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f965,plain,
    ( ~ spl0_41
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f34,f962,f432]) ).

fof(f34,plain,
    ( ~ c2_1(a1543)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f959,plain,
    ( ~ spl0_12
    | spl0_140 ),
    inference(avatar_split_clause,[],[f36,f956,f306]) ).

fof(f306,plain,
    ( spl0_12
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f36,plain,
    ( c2_1(a1545)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f954,plain,
    ( ~ spl0_12
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f37,f951,f306]) ).

fof(f37,plain,
    ( ~ c0_1(a1545)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f949,plain,
    ( ~ spl0_12
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f38,f946,f306]) ).

fof(f38,plain,
    ( ~ c3_1(a1545)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f943,plain,
    ( ~ spl0_32
    | spl0_137 ),
    inference(avatar_split_clause,[],[f40,f940,f394]) ).

fof(f394,plain,
    ( spl0_32
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f40,plain,
    ( c0_1(a1547)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f938,plain,
    ( ~ spl0_32
    | spl0_136 ),
    inference(avatar_split_clause,[],[f41,f935,f394]) ).

fof(f41,plain,
    ( c1_1(a1547)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f933,plain,
    ( ~ spl0_32
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f42,f930,f394]) ).

fof(f42,plain,
    ( ~ c3_1(a1547)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f927,plain,
    ( ~ spl0_3
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f44,f924,f266]) ).

fof(f266,plain,
    ( spl0_3
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f44,plain,
    ( ~ c0_1(a1548)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f922,plain,
    ( ~ spl0_3
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f45,f919,f266]) ).

fof(f45,plain,
    ( ~ c1_1(a1548)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f917,plain,
    ( ~ spl0_3
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f46,f914,f266]) ).

fof(f46,plain,
    ( ~ c3_1(a1548)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f911,plain,
    ( ~ spl0_7
    | spl0_131 ),
    inference(avatar_split_clause,[],[f48,f908,f284]) ).

fof(f284,plain,
    ( spl0_7
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f48,plain,
    ( c0_1(a1549)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f906,plain,
    ( ~ spl0_7
    | spl0_130 ),
    inference(avatar_split_clause,[],[f49,f903,f284]) ).

fof(f49,plain,
    ( c3_1(a1549)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f901,plain,
    ( ~ spl0_7
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f50,f898,f284]) ).

fof(f50,plain,
    ( ~ c1_1(a1549)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f895,plain,
    ( ~ spl0_49
    | spl0_128 ),
    inference(avatar_split_clause,[],[f52,f892,f470]) ).

fof(f470,plain,
    ( spl0_49
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f52,plain,
    ( c0_1(a1553)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f890,plain,
    ( ~ spl0_49
    | spl0_127 ),
    inference(avatar_split_clause,[],[f53,f887,f470]) ).

fof(f53,plain,
    ( c2_1(a1553)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f885,plain,
    ( ~ spl0_49
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f54,f882,f470]) ).

fof(f54,plain,
    ( ~ c1_1(a1553)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f848,plain,
    ( ~ spl0_13
    | spl0_19 ),
    inference(avatar_split_clause,[],[f63,f338,f311]) ).

fof(f311,plain,
    ( spl0_13
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

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

fof(f847,plain,
    ( ~ spl0_13
    | spl0_119 ),
    inference(avatar_split_clause,[],[f64,f844,f311]) ).

fof(f64,plain,
    ( c0_1(a1558)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f842,plain,
    ( ~ spl0_13
    | spl0_118 ),
    inference(avatar_split_clause,[],[f65,f839,f311]) ).

fof(f65,plain,
    ( c1_1(a1558)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f837,plain,
    ( ~ spl0_13
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f66,f834,f311]) ).

fof(f66,plain,
    ( ~ c2_1(a1558)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f831,plain,
    ( ~ spl0_10
    | spl0_116 ),
    inference(avatar_split_clause,[],[f68,f828,f297]) ).

fof(f297,plain,
    ( spl0_10
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f68,plain,
    ( c1_1(a1565)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f826,plain,
    ( ~ spl0_10
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f69,f823,f297]) ).

fof(f69,plain,
    ( ~ c2_1(a1565)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f821,plain,
    ( ~ spl0_10
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f70,f818,f297]) ).

fof(f70,plain,
    ( ~ c3_1(a1565)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f815,plain,
    ( ~ spl0_50
    | spl0_113 ),
    inference(avatar_split_clause,[],[f72,f812,f475]) ).

fof(f475,plain,
    ( spl0_50
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f72,plain,
    ( c2_1(a1566)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f810,plain,
    ( ~ spl0_50
    | spl0_112 ),
    inference(avatar_split_clause,[],[f73,f807,f475]) ).

fof(f73,plain,
    ( c3_1(a1566)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f805,plain,
    ( ~ spl0_50
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f74,f802,f475]) ).

fof(f74,plain,
    ( ~ c1_1(a1566)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f767,plain,
    ( ~ spl0_17
    | spl0_104 ),
    inference(avatar_split_clause,[],[f84,f764,f329]) ).

fof(f329,plain,
    ( spl0_17
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f84,plain,
    ( c0_1(a1573)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f762,plain,
    ( ~ spl0_17
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f85,f759,f329]) ).

fof(f85,plain,
    ( ~ c1_1(a1573)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f757,plain,
    ( ~ spl0_17
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f86,f754,f329]) ).

fof(f86,plain,
    ( ~ c3_1(a1573)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f751,plain,
    ( ~ spl0_14
    | spl0_101 ),
    inference(avatar_split_clause,[],[f88,f748,f315]) ).

fof(f315,plain,
    ( spl0_14
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f88,plain,
    ( c1_1(a1574)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f746,plain,
    ( ~ spl0_14
    | spl0_100 ),
    inference(avatar_split_clause,[],[f89,f743,f315]) ).

fof(f89,plain,
    ( c3_1(a1574)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f741,plain,
    ( ~ spl0_14
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f90,f738,f315]) ).

fof(f90,plain,
    ( ~ c2_1(a1574)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f735,plain,
    ( ~ spl0_25
    | spl0_98 ),
    inference(avatar_split_clause,[],[f92,f732,f361]) ).

fof(f361,plain,
    ( spl0_25
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f92,plain,
    ( c2_1(a1575)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f730,plain,
    ( ~ spl0_25
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f93,f727,f361]) ).

fof(f93,plain,
    ( ~ c0_1(a1575)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f725,plain,
    ( ~ spl0_25
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f94,f722,f361]) ).

fof(f94,plain,
    ( ~ c1_1(a1575)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f719,plain,
    ( ~ spl0_21
    | spl0_95 ),
    inference(avatar_split_clause,[],[f96,f716,f345]) ).

fof(f345,plain,
    ( spl0_21
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f96,plain,
    ( c2_1(a1581)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f714,plain,
    ( ~ spl0_21
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f97,f711,f345]) ).

fof(f97,plain,
    ( ~ c1_1(a1581)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f709,plain,
    ( ~ spl0_21
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f98,f706,f345]) ).

fof(f98,plain,
    ( ~ c3_1(a1581)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f703,plain,
    ( ~ spl0_4
    | spl0_92 ),
    inference(avatar_split_clause,[],[f100,f700,f271]) ).

fof(f271,plain,
    ( spl0_4
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f100,plain,
    ( c0_1(a1593)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f698,plain,
    ( ~ spl0_4
    | spl0_91 ),
    inference(avatar_split_clause,[],[f101,f695,f271]) ).

fof(f101,plain,
    ( c3_1(a1593)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f693,plain,
    ( ~ spl0_4
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f102,f690,f271]) ).

fof(f102,plain,
    ( ~ c2_1(a1593)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f655,plain,
    ( ~ spl0_6
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f112,f652,f279]) ).

fof(f279,plain,
    ( spl0_6
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f112,plain,
    ( ~ c0_1(a1624)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f650,plain,
    ( ~ spl0_6
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f113,f647,f279]) ).

fof(f113,plain,
    ( ~ c2_1(a1624)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f645,plain,
    ( ~ spl0_6
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f114,f642,f279]) ).

fof(f114,plain,
    ( ~ c3_1(a1624)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f623,plain,
    ( ~ spl0_30
    | spl0_77 ),
    inference(avatar_split_clause,[],[f120,f620,f384]) ).

fof(f384,plain,
    ( spl0_30
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f120,plain,
    ( c1_1(a1542)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f618,plain,
    ( ~ spl0_30
    | spl0_76 ),
    inference(avatar_split_clause,[],[f121,f615,f384]) ).

fof(f121,plain,
    ( c2_1(a1542)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f613,plain,
    ( ~ spl0_30
    | spl0_75 ),
    inference(avatar_split_clause,[],[f122,f610,f384]) ).

fof(f122,plain,
    ( c3_1(a1542)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f591,plain,
    ( ~ spl0_37
    | spl0_71 ),
    inference(avatar_split_clause,[],[f128,f588,f415]) ).

fof(f415,plain,
    ( spl0_37
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f128,plain,
    ( c0_1(a1546)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f586,plain,
    ( ~ spl0_37
    | spl0_70 ),
    inference(avatar_split_clause,[],[f129,f583,f415]) ).

fof(f129,plain,
    ( c1_1(a1546)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f581,plain,
    ( ~ spl0_37
    | spl0_69 ),
    inference(avatar_split_clause,[],[f130,f578,f415]) ).

fof(f130,plain,
    ( c3_1(a1546)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f575,plain,
    ( ~ spl0_11
    | spl0_68 ),
    inference(avatar_split_clause,[],[f132,f572,f302]) ).

fof(f302,plain,
    ( spl0_11
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f132,plain,
    ( c0_1(a1562)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f570,plain,
    ( ~ spl0_11
    | spl0_67 ),
    inference(avatar_split_clause,[],[f133,f567,f302]) ).

fof(f133,plain,
    ( c2_1(a1562)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f565,plain,
    ( ~ spl0_11
    | spl0_66 ),
    inference(avatar_split_clause,[],[f134,f562,f302]) ).

fof(f134,plain,
    ( c3_1(a1562)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f549,plain,
    ( spl0_63
    | ~ spl0_19
    | spl0_52
    | spl0_15 ),
    inference(avatar_split_clause,[],[f213,f320,f484,f338,f545]) ).

fof(f213,plain,
    ! [X118,X117] :
      ( hskp4
      | ~ c3_1(X117)
      | ~ c2_1(X117)
      | c0_1(X117)
      | ~ ndr1_0
      | c3_1(X118)
      | c1_1(X118)
      | c0_1(X118) ),
    inference(duplicate_literal_removal,[],[f139]) ).

fof(f139,plain,
    ! [X118,X117] :
      ( hskp4
      | ~ c3_1(X117)
      | ~ c2_1(X117)
      | c0_1(X117)
      | ~ ndr1_0
      | c3_1(X118)
      | c1_1(X118)
      | c0_1(X118)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f548,plain,
    ( spl0_63
    | ~ spl0_19
    | spl0_24
    | spl0_1 ),
    inference(avatar_split_clause,[],[f214,f258,f358,f338,f545]) ).

fof(f214,plain,
    ! [X116,X115] :
      ( hskp5
      | ~ c1_1(X115)
      | ~ c0_1(X115)
      | c3_1(X115)
      | ~ ndr1_0
      | c3_1(X116)
      | c1_1(X116)
      | c0_1(X116) ),
    inference(duplicate_literal_removal,[],[f140]) ).

fof(f140,plain,
    ! [X116,X115] :
      ( hskp5
      | ~ c1_1(X115)
      | ~ c0_1(X115)
      | c3_1(X115)
      | ~ ndr1_0
      | c3_1(X116)
      | c1_1(X116)
      | c0_1(X116)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f543,plain,
    ( spl0_62
    | ~ spl0_19
    | spl0_51
    | spl0_15 ),
    inference(avatar_split_clause,[],[f216,f320,f480,f338,f540]) ).

fof(f216,plain,
    ! [X111,X112] :
      ( hskp4
      | c3_1(X111)
      | c2_1(X111)
      | c1_1(X111)
      | ~ ndr1_0
      | ~ c2_1(X112)
      | c1_1(X112)
      | c0_1(X112) ),
    inference(duplicate_literal_removal,[],[f142]) ).

fof(f142,plain,
    ! [X111,X112] :
      ( hskp4
      | c3_1(X111)
      | c2_1(X111)
      | c1_1(X111)
      | ~ ndr1_0
      | ~ c2_1(X112)
      | c1_1(X112)
      | c0_1(X112)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f542,plain,
    ( spl0_62
    | ~ spl0_19
    | spl0_26
    | spl0_30 ),
    inference(avatar_split_clause,[],[f217,f384,f367,f338,f540]) ).

fof(f217,plain,
    ! [X109,X110] :
      ( hskp28
      | ~ c3_1(X109)
      | ~ c1_1(X109)
      | c2_1(X109)
      | ~ ndr1_0
      | ~ c2_1(X110)
      | c1_1(X110)
      | c0_1(X110) ),
    inference(duplicate_literal_removal,[],[f143]) ).

fof(f143,plain,
    ! [X109,X110] :
      ( hskp28
      | ~ c3_1(X109)
      | ~ c1_1(X109)
      | c2_1(X109)
      | ~ ndr1_0
      | ~ c2_1(X110)
      | c1_1(X110)
      | c0_1(X110)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f532,plain,
    ( spl0_59
    | ~ spl0_19
    | spl0_57
    | spl0_41 ),
    inference(avatar_split_clause,[],[f221,f432,f509,f338,f522]) ).

fof(f221,plain,
    ! [X98,X99] :
      ( hskp6
      | ~ c3_1(X98)
      | c2_1(X98)
      | c0_1(X98)
      | ~ ndr1_0
      | c3_1(X99)
      | c2_1(X99)
      | c0_1(X99) ),
    inference(duplicate_literal_removal,[],[f147]) ).

fof(f147,plain,
    ! [X98,X99] :
      ( hskp6
      | ~ c3_1(X98)
      | c2_1(X98)
      | c0_1(X98)
      | ~ ndr1_0
      | c3_1(X99)
      | c2_1(X99)
      | c0_1(X99)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f526,plain,
    ( spl0_59
    | spl0_44
    | ~ spl0_19
    | spl0_29 ),
    inference(avatar_split_clause,[],[f224,f381,f338,f451,f522]) ).

fof(f224,plain,
    ! [X90,X91,X92] :
      ( ~ c0_1(X90)
      | c3_1(X90)
      | c2_1(X90)
      | ~ ndr1_0
      | ~ c0_1(X91)
      | c3_1(X91)
      | c1_1(X91)
      | c3_1(X92)
      | c2_1(X92)
      | c0_1(X92) ),
    inference(duplicate_literal_removal,[],[f150]) ).

fof(f150,plain,
    ! [X90,X91,X92] :
      ( ~ c0_1(X90)
      | c3_1(X90)
      | c2_1(X90)
      | ~ ndr1_0
      | ~ c0_1(X91)
      | c3_1(X91)
      | c1_1(X91)
      | ~ ndr1_0
      | c3_1(X92)
      | c2_1(X92)
      | c0_1(X92)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f524,plain,
    ( ~ spl0_19
    | spl0_59
    | spl0_37
    | spl0_32 ),
    inference(avatar_split_clause,[],[f152,f394,f415,f522,f338]) ).

fof(f152,plain,
    ! [X87] :
      ( hskp8
      | hskp30
      | c3_1(X87)
      | c2_1(X87)
      | c0_1(X87)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f520,plain,
    ( spl0_58
    | spl0_57
    | ~ spl0_19
    | spl0_20 ),
    inference(avatar_split_clause,[],[f226,f342,f338,f509,f516]) ).

fof(f226,plain,
    ! [X86,X84,X85] :
      ( ~ c3_1(X84)
      | ~ c2_1(X84)
      | ~ c1_1(X84)
      | ~ ndr1_0
      | ~ c3_1(X85)
      | c2_1(X85)
      | c0_1(X85)
      | ~ c1_1(X86)
      | c2_1(X86)
      | c0_1(X86) ),
    inference(duplicate_literal_removal,[],[f153]) ).

fof(f153,plain,
    ! [X86,X84,X85] :
      ( ~ c3_1(X84)
      | ~ c2_1(X84)
      | ~ c1_1(X84)
      | ~ ndr1_0
      | ~ c3_1(X85)
      | c2_1(X85)
      | c0_1(X85)
      | ~ ndr1_0
      | ~ c1_1(X86)
      | c2_1(X86)
      | c0_1(X86)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f519,plain,
    ( spl0_58
    | ~ spl0_19
    | spl0_42
    | spl0_3 ),
    inference(avatar_split_clause,[],[f227,f266,f443,f338,f516]) ).

fof(f227,plain,
    ! [X82,X83] :
      ( hskp9
      | ~ c2_1(X82)
      | c3_1(X82)
      | c1_1(X82)
      | ~ ndr1_0
      | ~ c1_1(X83)
      | c2_1(X83)
      | c0_1(X83) ),
    inference(duplicate_literal_removal,[],[f154]) ).

fof(f154,plain,
    ! [X82,X83] :
      ( hskp9
      | ~ c2_1(X82)
      | c3_1(X82)
      | c1_1(X82)
      | ~ ndr1_0
      | ~ c1_1(X83)
      | c2_1(X83)
      | c0_1(X83)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f518,plain,
    ( ~ spl0_19
    | spl0_58
    | spl0_7
    | spl0_15 ),
    inference(avatar_split_clause,[],[f155,f320,f284,f516,f338]) ).

fof(f155,plain,
    ! [X81] :
      ( hskp4
      | hskp10
      | ~ c1_1(X81)
      | c2_1(X81)
      | c0_1(X81)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f514,plain,
    ( spl0_57
    | ~ spl0_19
    | spl0_48
    | spl0_5 ),
    inference(avatar_split_clause,[],[f228,f275,f467,f338,f509]) ).

fof(f228,plain,
    ! [X80,X79] :
      ( hskp3
      | ~ c0_1(X79)
      | c2_1(X79)
      | c1_1(X79)
      | ~ ndr1_0
      | ~ c3_1(X80)
      | c2_1(X80)
      | c0_1(X80) ),
    inference(duplicate_literal_removal,[],[f156]) ).

fof(f156,plain,
    ! [X80,X79] :
      ( hskp3
      | ~ c0_1(X79)
      | c2_1(X79)
      | c1_1(X79)
      | ~ ndr1_0
      | ~ c3_1(X80)
      | c2_1(X80)
      | c0_1(X80)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f513,plain,
    ( spl0_57
    | ~ spl0_19
    | spl0_47
    | spl0_15 ),
    inference(avatar_split_clause,[],[f229,f320,f463,f338,f509]) ).

fof(f229,plain,
    ! [X78,X77] :
      ( hskp4
      | ~ c3_1(X77)
      | ~ c2_1(X77)
      | ~ c0_1(X77)
      | ~ ndr1_0
      | ~ c3_1(X78)
      | c2_1(X78)
      | c0_1(X78) ),
    inference(duplicate_literal_removal,[],[f157]) ).

fof(f157,plain,
    ! [X78,X77] :
      ( hskp4
      | ~ c3_1(X77)
      | ~ c2_1(X77)
      | ~ c0_1(X77)
      | ~ ndr1_0
      | ~ c3_1(X78)
      | c2_1(X78)
      | c0_1(X78)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f512,plain,
    ( spl0_57
    | ~ spl0_19
    | spl0_20
    | spl0_49 ),
    inference(avatar_split_clause,[],[f230,f470,f342,f338,f509]) ).

fof(f230,plain,
    ! [X76,X75] :
      ( hskp11
      | ~ c3_1(X75)
      | ~ c2_1(X75)
      | ~ c1_1(X75)
      | ~ ndr1_0
      | ~ c3_1(X76)
      | c2_1(X76)
      | c0_1(X76) ),
    inference(duplicate_literal_removal,[],[f158]) ).

fof(f158,plain,
    ! [X76,X75] :
      ( hskp11
      | ~ c3_1(X75)
      | ~ c2_1(X75)
      | ~ c1_1(X75)
      | ~ ndr1_0
      | ~ c3_1(X76)
      | c2_1(X76)
      | c0_1(X76)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f503,plain,
    ( spl0_54
    | spl0_52
    | ~ spl0_19
    | spl0_36 ),
    inference(avatar_split_clause,[],[f232,f412,f338,f484,f493]) ).

fof(f232,plain,
    ! [X70,X71,X69] :
      ( ~ c3_1(X69)
      | ~ c0_1(X69)
      | c1_1(X69)
      | ~ ndr1_0
      | ~ c3_1(X70)
      | ~ c2_1(X70)
      | c0_1(X70)
      | ~ c2_1(X71)
      | ~ c1_1(X71)
      | c0_1(X71) ),
    inference(duplicate_literal_removal,[],[f161]) ).

fof(f161,plain,
    ! [X70,X71,X69] :
      ( ~ c3_1(X69)
      | ~ c0_1(X69)
      | c1_1(X69)
      | ~ ndr1_0
      | ~ c3_1(X70)
      | ~ c2_1(X70)
      | c0_1(X70)
      | ~ ndr1_0
      | ~ c2_1(X71)
      | ~ c1_1(X71)
      | c0_1(X71)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f497,plain,
    ( spl0_54
    | ~ spl0_19
    | spl0_27
    | spl0_13 ),
    inference(avatar_split_clause,[],[f234,f311,f372,f338,f493]) ).

fof(f234,plain,
    ! [X65,X66] :
      ( hskp14
      | ~ c1_1(X65)
      | c3_1(X65)
      | c2_1(X65)
      | ~ ndr1_0
      | ~ c2_1(X66)
      | ~ c1_1(X66)
      | c0_1(X66) ),
    inference(duplicate_literal_removal,[],[f163]) ).

fof(f163,plain,
    ! [X65,X66] :
      ( hskp14
      | ~ c1_1(X65)
      | c3_1(X65)
      | c2_1(X65)
      | ~ ndr1_0
      | ~ c2_1(X66)
      | ~ c1_1(X66)
      | c0_1(X66)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f496,plain,
    ( spl0_54
    | ~ spl0_19
    | spl0_39
    | spl0_7 ),
    inference(avatar_split_clause,[],[f235,f284,f425,f338,f493]) ).

fof(f235,plain,
    ! [X63,X64] :
      ( hskp10
      | ~ c1_1(X63)
      | ~ c0_1(X63)
      | c2_1(X63)
      | ~ ndr1_0
      | ~ c2_1(X64)
      | ~ c1_1(X64)
      | c0_1(X64) ),
    inference(duplicate_literal_removal,[],[f164]) ).

fof(f164,plain,
    ! [X63,X64] :
      ( hskp10
      | ~ c1_1(X63)
      | ~ c0_1(X63)
      | c2_1(X63)
      | ~ ndr1_0
      | ~ c2_1(X64)
      | ~ c1_1(X64)
      | c0_1(X64)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f495,plain,
    ( ~ spl0_19
    | spl0_54
    | spl0_13
    | spl0_1 ),
    inference(avatar_split_clause,[],[f165,f258,f311,f493,f338]) ).

fof(f165,plain,
    ! [X62] :
      ( hskp5
      | hskp14
      | ~ c2_1(X62)
      | ~ c1_1(X62)
      | c0_1(X62)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f491,plain,
    ( spl0_53
    | ~ spl0_19
    | spl0_44
    | spl0_11 ),
    inference(avatar_split_clause,[],[f236,f302,f451,f338,f488]) ).

fof(f236,plain,
    ! [X60,X61] :
      ( hskp31
      | ~ c0_1(X60)
      | c3_1(X60)
      | c1_1(X60)
      | ~ ndr1_0
      | ~ c3_1(X61)
      | ~ c1_1(X61)
      | c0_1(X61) ),
    inference(duplicate_literal_removal,[],[f166]) ).

fof(f166,plain,
    ! [X60,X61] :
      ( hskp31
      | ~ c0_1(X60)
      | c3_1(X60)
      | c1_1(X60)
      | ~ ndr1_0
      | ~ c3_1(X61)
      | ~ c1_1(X61)
      | c0_1(X61)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f490,plain,
    ( ~ spl0_19
    | spl0_53
    | spl0_9
    | spl0_30 ),
    inference(avatar_split_clause,[],[f167,f384,f293,f488,f338]) ).

fof(f167,plain,
    ! [X59] :
      ( hskp28
      | hskp1
      | ~ c3_1(X59)
      | ~ c1_1(X59)
      | c0_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f486,plain,
    ( spl0_52
    | spl0_46
    | ~ spl0_19
    | spl0_35 ),
    inference(avatar_split_clause,[],[f237,f408,f338,f460,f484]) ).

fof(f237,plain,
    ! [X58,X56,X57] :
      ( ~ c3_1(X56)
      | ~ c0_1(X56)
      | c2_1(X56)
      | ~ ndr1_0
      | ~ c3_1(X57)
      | c2_1(X57)
      | c1_1(X57)
      | ~ c3_1(X58)
      | ~ c2_1(X58)
      | c0_1(X58) ),
    inference(duplicate_literal_removal,[],[f168]) ).

fof(f168,plain,
    ! [X58,X56,X57] :
      ( ~ c3_1(X56)
      | ~ c0_1(X56)
      | c2_1(X56)
      | ~ ndr1_0
      | ~ c3_1(X57)
      | c2_1(X57)
      | c1_1(X57)
      | ~ ndr1_0
      | ~ c3_1(X58)
      | ~ c2_1(X58)
      | c0_1(X58)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f478,plain,
    ( spl0_48
    | ~ spl0_19
    | spl0_27
    | spl0_50 ),
    inference(avatar_split_clause,[],[f239,f475,f372,f338,f467]) ).

fof(f239,plain,
    ! [X52,X53] :
      ( hskp16
      | ~ c1_1(X52)
      | c3_1(X52)
      | c2_1(X52)
      | ~ ndr1_0
      | ~ c0_1(X53)
      | c2_1(X53)
      | c1_1(X53) ),
    inference(duplicate_literal_removal,[],[f170]) ).

fof(f170,plain,
    ! [X52,X53] :
      ( hskp16
      | ~ c1_1(X52)
      | c3_1(X52)
      | c2_1(X52)
      | ~ ndr1_0
      | ~ c0_1(X53)
      | c2_1(X53)
      | c1_1(X53)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f473,plain,
    ( ~ spl0_19
    | spl0_48
    | spl0_49
    | spl0_9 ),
    inference(avatar_split_clause,[],[f171,f293,f470,f467,f338]) ).

fof(f171,plain,
    ! [X51] :
      ( hskp1
      | hskp11
      | ~ c0_1(X51)
      | c2_1(X51)
      | c1_1(X51)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f458,plain,
    ( spl0_44
    | spl0_40
    | ~ spl0_19
    | spl0_22 ),
    inference(avatar_split_clause,[],[f241,f350,f338,f429,f451]) ).

fof(f241,plain,
    ! [X48,X46,X47] :
      ( ~ c3_1(X46)
      | ~ c1_1(X46)
      | ~ c0_1(X46)
      | ~ ndr1_0
      | ~ c2_1(X47)
      | ~ c0_1(X47)
      | c1_1(X47)
      | ~ c0_1(X48)
      | c3_1(X48)
      | c1_1(X48) ),
    inference(duplicate_literal_removal,[],[f173]) ).

fof(f173,plain,
    ! [X48,X46,X47] :
      ( ~ c3_1(X46)
      | ~ c1_1(X46)
      | ~ c0_1(X46)
      | ~ ndr1_0
      | ~ c2_1(X47)
      | ~ c0_1(X47)
      | c1_1(X47)
      | ~ ndr1_0
      | ~ c0_1(X48)
      | c3_1(X48)
      | c1_1(X48)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f440,plain,
    ( spl0_40
    | ~ spl0_19
    | spl0_27
    | spl0_14 ),
    inference(avatar_split_clause,[],[f244,f315,f372,f338,f429]) ).

fof(f244,plain,
    ! [X40,X39] :
      ( hskp20
      | ~ c1_1(X39)
      | c3_1(X39)
      | c2_1(X39)
      | ~ ndr1_0
      | ~ c2_1(X40)
      | ~ c0_1(X40)
      | c1_1(X40) ),
    inference(duplicate_literal_removal,[],[f177]) ).

fof(f177,plain,
    ! [X40,X39] :
      ( hskp20
      | ~ c1_1(X39)
      | c3_1(X39)
      | c2_1(X39)
      | ~ ndr1_0
      | ~ c2_1(X40)
      | ~ c0_1(X40)
      | c1_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f439,plain,
    ( spl0_40
    | ~ spl0_19
    | spl0_39
    | spl0_25 ),
    inference(avatar_split_clause,[],[f245,f361,f425,f338,f429]) ).

fof(f245,plain,
    ! [X38,X37] :
      ( hskp21
      | ~ c1_1(X37)
      | ~ c0_1(X37)
      | c2_1(X37)
      | ~ ndr1_0
      | ~ c2_1(X38)
      | ~ c0_1(X38)
      | c1_1(X38) ),
    inference(duplicate_literal_removal,[],[f178]) ).

fof(f178,plain,
    ! [X38,X37] :
      ( hskp21
      | ~ c1_1(X37)
      | ~ c0_1(X37)
      | c2_1(X37)
      | ~ ndr1_0
      | ~ c2_1(X38)
      | ~ c0_1(X38)
      | c1_1(X38)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f438,plain,
    ( spl0_40
    | spl0_34
    | ~ spl0_19
    | spl0_20 ),
    inference(avatar_split_clause,[],[f246,f342,f338,f404,f429]) ).

fof(f246,plain,
    ! [X36,X34,X35] :
      ( ~ c3_1(X34)
      | ~ c2_1(X34)
      | ~ c1_1(X34)
      | ~ ndr1_0
      | ~ c2_1(X35)
      | ~ c0_1(X35)
      | c3_1(X35)
      | ~ c2_1(X36)
      | ~ c0_1(X36)
      | c1_1(X36) ),
    inference(duplicate_literal_removal,[],[f179]) ).

fof(f179,plain,
    ! [X36,X34,X35] :
      ( ~ c3_1(X34)
      | ~ c2_1(X34)
      | ~ c1_1(X34)
      | ~ ndr1_0
      | ~ c2_1(X35)
      | ~ c0_1(X35)
      | c3_1(X35)
      | ~ ndr1_0
      | ~ c2_1(X36)
      | ~ c0_1(X36)
      | c1_1(X36)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f427,plain,
    ( spl0_36
    | ~ spl0_19
    | spl0_39
    | spl0_21 ),
    inference(avatar_split_clause,[],[f248,f345,f425,f338,f412]) ).

fof(f248,plain,
    ! [X28,X29] :
      ( hskp22
      | ~ c1_1(X28)
      | ~ c0_1(X28)
      | c2_1(X28)
      | ~ ndr1_0
      | ~ c3_1(X29)
      | ~ c0_1(X29)
      | c1_1(X29) ),
    inference(duplicate_literal_removal,[],[f183]) ).

fof(f183,plain,
    ! [X28,X29] :
      ( hskp22
      | ~ c1_1(X28)
      | ~ c0_1(X28)
      | c2_1(X28)
      | ~ ndr1_0
      | ~ c3_1(X29)
      | ~ c0_1(X29)
      | c1_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f423,plain,
    ( spl0_36
    | ~ spl0_19
    | spl0_26
    | spl0_13 ),
    inference(avatar_split_clause,[],[f249,f311,f367,f338,f412]) ).

fof(f249,plain,
    ! [X26,X27] :
      ( hskp14
      | ~ c3_1(X26)
      | ~ c1_1(X26)
      | c2_1(X26)
      | ~ ndr1_0
      | ~ c3_1(X27)
      | ~ c0_1(X27)
      | c1_1(X27) ),
    inference(duplicate_literal_removal,[],[f184]) ).

fof(f184,plain,
    ! [X26,X27] :
      ( hskp14
      | ~ c3_1(X26)
      | ~ c1_1(X26)
      | c2_1(X26)
      | ~ ndr1_0
      | ~ c3_1(X27)
      | ~ c0_1(X27)
      | c1_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f406,plain,
    ( spl0_33
    | ~ spl0_19
    | spl0_34
    | spl0_17 ),
    inference(avatar_split_clause,[],[f252,f329,f404,f338,f399]) ).

fof(f252,plain,
    ! [X19,X20] :
      ( hskp19
      | ~ c2_1(X19)
      | ~ c0_1(X19)
      | c3_1(X19)
      | ~ ndr1_0
      | ~ c3_1(X20)
      | ~ c2_1(X20)
      | c1_1(X20) ),
    inference(duplicate_literal_removal,[],[f188]) ).

fof(f188,plain,
    ! [X19,X20] :
      ( hskp19
      | ~ c2_1(X19)
      | ~ c0_1(X19)
      | c3_1(X19)
      | ~ ndr1_0
      | ~ c3_1(X20)
      | ~ c2_1(X20)
      | c1_1(X20)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f401,plain,
    ( ~ spl0_19
    | spl0_33
    | spl0_17
    | spl0_5 ),
    inference(avatar_split_clause,[],[f190,f275,f329,f399,f338]) ).

fof(f190,plain,
    ! [X17] :
      ( hskp3
      | hskp19
      | ~ c3_1(X17)
      | ~ c2_1(X17)
      | c1_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f370,plain,
    ( spl0_26
    | spl0_23
    | ~ spl0_19
    | spl0_20 ),
    inference(avatar_split_clause,[],[f254,f342,f338,f354,f367]) ).

fof(f254,plain,
    ! [X10,X8,X9] :
      ( ~ c3_1(X8)
      | ~ c2_1(X8)
      | ~ c1_1(X8)
      | ~ ndr1_0
      | ~ c2_1(X9)
      | ~ c1_1(X9)
      | ~ c0_1(X9)
      | ~ c3_1(X10)
      | ~ c1_1(X10)
      | c2_1(X10) ),
    inference(duplicate_literal_removal,[],[f196]) ).

fof(f196,plain,
    ! [X10,X8,X9] :
      ( ~ c3_1(X8)
      | ~ c2_1(X8)
      | ~ c1_1(X8)
      | ~ ndr1_0
      | ~ c2_1(X9)
      | ~ c1_1(X9)
      | ~ c0_1(X9)
      | ~ ndr1_0
      | ~ c3_1(X10)
      | ~ c1_1(X10)
      | c2_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f369,plain,
    ( spl0_26
    | ~ spl0_19
    | spl0_22
    | spl0_1 ),
    inference(avatar_split_clause,[],[f255,f258,f350,f338,f367]) ).

fof(f255,plain,
    ! [X6,X7] :
      ( hskp5
      | ~ c3_1(X6)
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0
      | ~ c3_1(X7)
      | ~ c1_1(X7)
      | c2_1(X7) ),
    inference(duplicate_literal_removal,[],[f197]) ).

fof(f197,plain,
    ! [X6,X7] :
      ( hskp5
      | ~ c3_1(X6)
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0
      | ~ c3_1(X7)
      | ~ c1_1(X7)
      | c2_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f365,plain,
    ( spl0_24
    | ~ spl0_19
    | spl0_20
    | spl0_4 ),
    inference(avatar_split_clause,[],[f256,f271,f342,f338,f358]) ).

fof(f256,plain,
    ! [X4,X5] :
      ( hskp23
      | ~ c3_1(X4)
      | ~ c2_1(X4)
      | ~ c1_1(X4)
      | ~ ndr1_0
      | ~ c1_1(X5)
      | ~ c0_1(X5)
      | c3_1(X5) ),
    inference(duplicate_literal_removal,[],[f198]) ).

fof(f198,plain,
    ! [X4,X5] :
      ( hskp23
      | ~ c3_1(X4)
      | ~ c2_1(X4)
      | ~ c1_1(X4)
      | ~ ndr1_0
      | ~ c1_1(X5)
      | ~ c0_1(X5)
      | c3_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f364,plain,
    ( ~ spl0_19
    | spl0_24
    | spl0_14
    | spl0_25 ),
    inference(avatar_split_clause,[],[f199,f361,f315,f358,f338]) ).

fof(f199,plain,
    ! [X3] :
      ( hskp21
      | hskp20
      | ~ c1_1(X3)
      | ~ c0_1(X3)
      | c3_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f356,plain,
    ( ~ spl0_19
    | spl0_23
    | spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f200,f306,f302,f354,f338]) ).

fof(f200,plain,
    ! [X2] :
      ( hskp7
      | hskp31
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f352,plain,
    ( ~ spl0_19
    | spl0_22
    | spl0_7 ),
    inference(avatar_split_clause,[],[f201,f284,f350,f338]) ).

fof(f201,plain,
    ! [X1] :
      ( hskp10
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f348,plain,
    ( ~ spl0_19
    | spl0_20
    | spl0_13
    | spl0_21 ),
    inference(avatar_split_clause,[],[f202,f345,f311,f342,f338]) ).

fof(f202,plain,
    ! [X0] :
      ( hskp22
      | hskp14
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f323,plain,
    ( spl0_13
    | spl0_9
    | spl0_15 ),
    inference(avatar_split_clause,[],[f204,f320,f293,f311]) ).

fof(f204,plain,
    ( hskp4
    | hskp1
    | hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f318,plain,
    ( spl0_13
    | spl0_14
    | spl0_10 ),
    inference(avatar_split_clause,[],[f205,f297,f315,f311]) ).

fof(f205,plain,
    ( hskp15
    | hskp20
    | hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f300,plain,
    ( spl0_9
    | spl0_10
    | spl0_6 ),
    inference(avatar_split_clause,[],[f207,f279,f297,f293]) ).

fof(f207,plain,
    ( hskp26
    | hskp15
    | hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f282,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f209,f279,f275,f271]) ).

fof(f209,plain,
    ( hskp26
    | hskp3
    | hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN480+1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.14  % 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
% 0.14/0.36  % Computer : n017.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 17:33:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_EPR_NEQ problem
% 0.14/0.36  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.HKFxOlVtD3/Vampire---4.8_23448
% 0.65/0.82  % (23799)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.65/0.82  % (23798)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)
% 0.65/0.82  % (23800)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)
% 0.65/0.82  % (23797)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)
% 0.65/0.82  % (23801)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)
% 0.65/0.82  % (23802)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)
% 0.65/0.82  % (23803)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)
% 0.65/0.82  % (23804)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)
% 0.65/0.84  % (23800)Instruction limit reached!
% 0.65/0.84  % (23800)------------------------------
% 0.65/0.84  % (23800)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.84  % (23800)Termination reason: Unknown
% 0.65/0.84  % (23800)Termination phase: Saturation
% 0.65/0.84  
% 0.65/0.84  % (23800)Memory used [KB]: 2283
% 0.65/0.84  % (23800)Time elapsed: 0.018 s
% 0.65/0.84  % (23800)Instructions burned: 34 (million)
% 0.65/0.84  % (23800)------------------------------
% 0.65/0.84  % (23800)------------------------------
% 0.65/0.84  % (23801)Instruction limit reached!
% 0.65/0.84  % (23801)------------------------------
% 0.65/0.84  % (23801)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.84  % (23801)Termination reason: Unknown
% 0.65/0.84  % (23801)Termination phase: Saturation
% 0.65/0.84  
% 0.65/0.84  % (23801)Memory used [KB]: 2149
% 0.65/0.84  % (23801)Time elapsed: 0.020 s
% 0.65/0.84  % (23801)Instructions burned: 35 (million)
% 0.65/0.84  % (23801)------------------------------
% 0.65/0.84  % (23801)------------------------------
% 0.69/0.84  % (23797)Instruction limit reached!
% 0.69/0.84  % (23797)------------------------------
% 0.69/0.84  % (23797)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.84  % (23797)Termination reason: Unknown
% 0.69/0.84  % (23797)Termination phase: Saturation
% 0.69/0.84  
% 0.69/0.84  % (23797)Memory used [KB]: 2074
% 0.69/0.84  % (23797)Time elapsed: 0.022 s
% 0.69/0.84  % (23797)Instructions burned: 35 (million)
% 0.69/0.84  % (23797)------------------------------
% 0.69/0.84  % (23797)------------------------------
% 0.69/0.84  % (23805)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)
% 0.69/0.84  % (23806)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)
% 0.69/0.85  % (23798)First to succeed.
% 0.69/0.85  % (23807)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)
% 0.69/0.85  % (23802)Instruction limit reached!
% 0.69/0.85  % (23802)------------------------------
% 0.69/0.85  % (23802)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.85  % (23802)Termination reason: Unknown
% 0.69/0.85  % (23802)Termination phase: Saturation
% 0.69/0.85  
% 0.69/0.85  % (23802)Memory used [KB]: 2300
% 0.69/0.85  % (23802)Time elapsed: 0.028 s
% 0.69/0.85  % (23802)Instructions burned: 46 (million)
% 0.69/0.85  % (23802)------------------------------
% 0.69/0.85  % (23802)------------------------------
% 0.69/0.85  % (23808)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)
% 0.69/0.86  % (23804)Instruction limit reached!
% 0.69/0.86  % (23804)------------------------------
% 0.69/0.86  % (23804)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.86  % (23804)Termination reason: Unknown
% 0.69/0.86  % (23804)Termination phase: Saturation
% 0.69/0.86  
% 0.69/0.86  % (23804)Memory used [KB]: 2420
% 0.69/0.86  % (23804)Time elapsed: 0.034 s
% 0.69/0.86  % (23804)Instructions burned: 56 (million)
% 0.69/0.86  % (23804)------------------------------
% 0.69/0.86  % (23804)------------------------------
% 0.69/0.86  % (23798)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23702"
% 0.69/0.86  % (23798)Refutation found. Thanks to Tanya!
% 0.69/0.86  % SZS status Theorem for Vampire---4
% 0.69/0.86  % SZS output start Proof for Vampire---4
% See solution above
% 0.69/0.86  % (23798)------------------------------
% 0.69/0.86  % (23798)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.86  % (23798)Termination reason: Refutation
% 0.69/0.86  
% 0.69/0.86  % (23798)Memory used [KB]: 2057
% 0.69/0.86  % (23798)Time elapsed: 0.036 s
% 0.69/0.86  % (23798)Instructions burned: 73 (million)
% 0.69/0.86  % (23702)Success in time 0.481 s
% 0.69/0.86  % Vampire---4.8 exiting
%------------------------------------------------------------------------------