TSTP Solution File: SYN479+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN479+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n023.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 : Wed Aug 31 19:38:22 EDT 2022

% Result   : Theorem 1.67s 0.56s
% Output   : Refutation 1.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  137
% Syntax   : Number of formulae    :  602 (   1 unt;   0 def)
%            Number of atoms       : 6424 (   0 equ)
%            Maximal formula atoms :  745 (  10 avg)
%            Number of connectives : 8582 (2760   ~;4008   |;1194   &)
%                                         ( 136 <=>; 484  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  116 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  173 ( 172 usr; 169 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  868 ( 868   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2553,plain,
    $false,
    inference(avatar_sat_refutation,[],[f215,f224,f255,f264,f275,f298,f307,f319,f324,f339,f344,f369,f378,f394,f403,f409,f419,f428,f444,f467,f472,f484,f488,f494,f495,f501,f511,f516,f517,f532,f537,f541,f546,f556,f561,f566,f571,f572,f573,f583,f597,f606,f616,f620,f630,f631,f641,f648,f652,f666,f672,f678,f680,f685,f690,f695,f696,f701,f715,f728,f733,f745,f751,f757,f762,f767,f772,f773,f778,f783,f788,f793,f794,f796,f801,f806,f812,f820,f827,f832,f833,f835,f840,f846,f847,f853,f855,f860,f865,f868,f875,f880,f882,f883,f884,f885,f892,f903,f908,f909,f910,f915,f921,f928,f933,f943,f945,f950,f951,f957,f962,f978,f989,f1000,f1010,f1011,f1020,f1026,f1030,f1045,f1056,f1062,f1068,f1084,f1092,f1093,f1102,f1110,f1111,f1118,f1135,f1142,f1156,f1158,f1165,f1180,f1207,f1208,f1224,f1237,f1244,f1296,f1297,f1303,f1373,f1432,f1507,f1514,f1544,f1567,f1573,f1574,f1583,f1584,f1691,f1692,f1737,f1802,f1830,f1868,f1869,f1897,f1966,f1969,f1972,f1976,f2024,f2027,f2142,f2146,f2147,f2165,f2166,f2168,f2195,f2201,f2203,f2207,f2210,f2212,f2213,f2218,f2221,f2241,f2310,f2313,f2502,f2550,f2552]) ).

fof(f2552,plain,
    ( ~ spl0_138
    | ~ spl0_127
    | ~ spl0_100
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f2540,f1099,f657,f809,f889]) ).

fof(f889,plain,
    ( spl0_138
  <=> c3_1(a1448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f809,plain,
    ( spl0_127
  <=> c0_1(a1448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f657,plain,
    ( spl0_100
  <=> ! [X62] :
        ( ~ c3_1(X62)
        | ~ c1_1(X62)
        | ~ c0_1(X62) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1099,plain,
    ( spl0_167
  <=> c1_1(a1448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f2540,plain,
    ( ~ c0_1(a1448)
    | ~ c3_1(a1448)
    | ~ spl0_100
    | ~ spl0_167 ),
    inference(resolution,[],[f658,f1101]) ).

fof(f1101,plain,
    ( c1_1(a1448)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1099]) ).

fof(f658,plain,
    ( ! [X62] :
        ( ~ c1_1(X62)
        | ~ c3_1(X62)
        | ~ c0_1(X62) )
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f2550,plain,
    ( ~ spl0_173
    | ~ spl0_96
    | ~ spl0_100
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2535,f900,f657,f638,f1204]) ).

fof(f1204,plain,
    ( spl0_173
  <=> c0_1(a1434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f638,plain,
    ( spl0_96
  <=> c3_1(a1434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f900,plain,
    ( spl0_140
  <=> c1_1(a1434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2535,plain,
    ( ~ c3_1(a1434)
    | ~ c0_1(a1434)
    | ~ spl0_100
    | ~ spl0_140 ),
    inference(resolution,[],[f658,f902]) ).

fof(f902,plain,
    ( c1_1(a1434)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f900]) ).

fof(f2502,plain,
    ( spl0_113
    | spl0_186
    | ~ spl0_65
    | spl0_105 ),
    inference(avatar_split_clause,[],[f2497,f687,f481,f1734,f730]) ).

fof(f730,plain,
    ( spl0_113
  <=> c3_1(a1445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1734,plain,
    ( spl0_186
  <=> c2_1(a1445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f481,plain,
    ( spl0_65
  <=> ! [X4] :
        ( c3_1(X4)
        | c1_1(X4)
        | c2_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f687,plain,
    ( spl0_105
  <=> c1_1(a1445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f2497,plain,
    ( c2_1(a1445)
    | c3_1(a1445)
    | ~ spl0_65
    | spl0_105 ),
    inference(resolution,[],[f689,f482]) ).

fof(f482,plain,
    ( ! [X4] :
        ( c1_1(X4)
        | c3_1(X4)
        | c2_1(X4) )
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f689,plain,
    ( ~ c1_1(a1445)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f2313,plain,
    ( spl0_123
    | ~ spl0_71
    | ~ spl0_44
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f2299,f1241,f392,f513,f785]) ).

fof(f785,plain,
    ( spl0_123
  <=> c2_1(a1430) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f513,plain,
    ( spl0_71
  <=> c3_1(a1430) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f392,plain,
    ( spl0_44
  <=> ! [X112] :
        ( ~ c1_1(X112)
        | c2_1(X112)
        | ~ c3_1(X112) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1241,plain,
    ( spl0_176
  <=> c1_1(a1430) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f2299,plain,
    ( ~ c3_1(a1430)
    | c2_1(a1430)
    | ~ spl0_44
    | ~ spl0_176 ),
    inference(resolution,[],[f393,f1243]) ).

fof(f1243,plain,
    ( c1_1(a1430)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f1241]) ).

fof(f393,plain,
    ( ! [X112] :
        ( ~ c1_1(X112)
        | c2_1(X112)
        | ~ c3_1(X112) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f2310,plain,
    ( spl0_22
    | ~ spl0_138
    | ~ spl0_44
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f2301,f1099,f392,f889,f300]) ).

fof(f300,plain,
    ( spl0_22
  <=> c2_1(a1448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f2301,plain,
    ( ~ c3_1(a1448)
    | c2_1(a1448)
    | ~ spl0_44
    | ~ spl0_167 ),
    inference(resolution,[],[f393,f1101]) ).

fof(f2241,plain,
    ( spl0_82
    | spl0_158
    | ~ spl0_15
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2240,f912,f270,f1007,f563]) ).

fof(f563,plain,
    ( spl0_82
  <=> c3_1(a1449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1007,plain,
    ( spl0_158
  <=> c0_1(a1449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f270,plain,
    ( spl0_15
  <=> ! [X78] :
        ( c0_1(X78)
        | c3_1(X78)
        | ~ c2_1(X78) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f912,plain,
    ( spl0_142
  <=> c2_1(a1449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2240,plain,
    ( c0_1(a1449)
    | c3_1(a1449)
    | ~ spl0_15
    | ~ spl0_142 ),
    inference(resolution,[],[f914,f271]) ).

fof(f271,plain,
    ( ! [X78] :
        ( ~ c2_1(X78)
        | c3_1(X78)
        | c0_1(X78) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f914,plain,
    ( c2_1(a1449)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f912]) ).

fof(f2221,plain,
    ( spl0_155
    | ~ spl0_81
    | ~ spl0_74
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2065,f1076,f527,f558,f986]) ).

fof(f986,plain,
    ( spl0_155
  <=> c0_1(a1504) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f558,plain,
    ( spl0_81
  <=> c2_1(a1504) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f527,plain,
    ( spl0_74
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1076,plain,
    ( spl0_165
  <=> c3_1(a1504) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f2065,plain,
    ( ~ c2_1(a1504)
    | c0_1(a1504)
    | ~ spl0_74
    | ~ spl0_165 ),
    inference(resolution,[],[f528,f1078]) ).

fof(f1078,plain,
    ( c3_1(a1504)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1076]) ).

fof(f528,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f2218,plain,
    ( spl0_164
    | spl0_104
    | ~ spl0_31
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f2094,f464,f337,f682,f1065]) ).

fof(f1065,plain,
    ( spl0_164
  <=> c2_1(a1441) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f682,plain,
    ( spl0_104
  <=> c1_1(a1441) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f337,plain,
    ( spl0_31
  <=> ! [X13] :
        ( c1_1(X13)
        | c2_1(X13)
        | ~ c0_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f464,plain,
    ( spl0_61
  <=> c0_1(a1441) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f2094,plain,
    ( c1_1(a1441)
    | c2_1(a1441)
    | ~ spl0_31
    | ~ spl0_61 ),
    inference(resolution,[],[f466,f338]) ).

fof(f338,plain,
    ( ! [X13] :
        ( ~ c0_1(X13)
        | c1_1(X13)
        | c2_1(X13) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f466,plain,
    ( c0_1(a1441)
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f2213,plain,
    ( ~ spl0_182
    | ~ spl0_141
    | ~ spl0_72
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2051,f568,f520,f905,f1504]) ).

fof(f1504,plain,
    ( spl0_182
  <=> c2_1(a1468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f905,plain,
    ( spl0_141
  <=> c3_1(a1468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f520,plain,
    ( spl0_72
  <=> ! [X11] :
        ( ~ c3_1(X11)
        | ~ c2_1(X11)
        | ~ c1_1(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f568,plain,
    ( spl0_83
  <=> c1_1(a1468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f2051,plain,
    ( ~ c3_1(a1468)
    | ~ c2_1(a1468)
    | ~ spl0_72
    | ~ spl0_83 ),
    inference(resolution,[],[f521,f570]) ).

fof(f570,plain,
    ( c1_1(a1468)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f521,plain,
    ( ! [X11] :
        ( ~ c1_1(X11)
        | ~ c3_1(X11)
        | ~ c2_1(X11) )
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f2212,plain,
    ( ~ spl0_115
    | ~ spl0_103
    | ~ spl0_72
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2041,f1033,f520,f675,f742]) ).

fof(f742,plain,
    ( spl0_115
  <=> c3_1(a1429) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f675,plain,
    ( spl0_103
  <=> c2_1(a1429) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1033,plain,
    ( spl0_161
  <=> c1_1(a1429) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f2041,plain,
    ( ~ c2_1(a1429)
    | ~ c3_1(a1429)
    | ~ spl0_72
    | ~ spl0_161 ),
    inference(resolution,[],[f521,f1035]) ).

fof(f1035,plain,
    ( c1_1(a1429)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1033]) ).

fof(f2210,plain,
    ( spl0_135
    | ~ spl0_182
    | ~ spl0_74
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2062,f905,f527,f1504,f862]) ).

fof(f862,plain,
    ( spl0_135
  <=> c0_1(a1468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f2062,plain,
    ( ~ c2_1(a1468)
    | c0_1(a1468)
    | ~ spl0_74
    | ~ spl0_141 ),
    inference(resolution,[],[f528,f907]) ).

fof(f907,plain,
    ( c3_1(a1468)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f2207,plain,
    ( spl0_43
    | ~ spl0_65
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f2183,f618,f481,f389]) ).

fof(f389,plain,
    ( spl0_43
  <=> ! [X111] :
        ( c2_1(X111)
        | c3_1(X111)
        | c0_1(X111) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f618,plain,
    ( spl0_92
  <=> ! [X6] :
        ( ~ c1_1(X6)
        | c3_1(X6)
        | c0_1(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f2183,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_65
    | ~ spl0_92 ),
    inference(duplicate_literal_removal,[],[f2170]) ).

fof(f2170,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_65
    | ~ spl0_92 ),
    inference(resolution,[],[f619,f482]) ).

fof(f619,plain,
    ( ! [X6] :
        ( ~ c1_1(X6)
        | c0_1(X6)
        | c3_1(X6) )
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f2203,plain,
    ( spl0_113
    | ~ spl0_133
    | ~ spl0_98
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f2186,f1734,f650,f850,f730]) ).

fof(f850,plain,
    ( spl0_133
  <=> c0_1(a1445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f650,plain,
    ( spl0_98
  <=> ! [X109] :
        ( ~ c2_1(X109)
        | ~ c0_1(X109)
        | c3_1(X109) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f2186,plain,
    ( ~ c0_1(a1445)
    | c3_1(a1445)
    | ~ spl0_98
    | ~ spl0_186 ),
    inference(resolution,[],[f651,f1736]) ).

fof(f1736,plain,
    ( c2_1(a1445)
    | ~ spl0_186 ),
    inference(avatar_component_clause,[],[f1734]) ).

fof(f651,plain,
    ( ! [X109] :
        ( ~ c2_1(X109)
        | ~ c0_1(X109)
        | c3_1(X109) )
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f2201,plain,
    ( ~ spl0_170
    | spl0_67
    | ~ spl0_38
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f2187,f650,f366,f491,f1138]) ).

fof(f1138,plain,
    ( spl0_170
  <=> c0_1(a1451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f491,plain,
    ( spl0_67
  <=> c3_1(a1451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f366,plain,
    ( spl0_38
  <=> c2_1(a1451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f2187,plain,
    ( c3_1(a1451)
    | ~ c0_1(a1451)
    | ~ spl0_38
    | ~ spl0_98 ),
    inference(resolution,[],[f651,f368]) ).

fof(f368,plain,
    ( c2_1(a1451)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f2195,plain,
    ( ~ spl0_150
    | spl0_132
    | ~ spl0_76
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f2184,f650,f534,f843,f959]) ).

fof(f959,plain,
    ( spl0_150
  <=> c0_1(a1427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f843,plain,
    ( spl0_132
  <=> c3_1(a1427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f534,plain,
    ( spl0_76
  <=> c2_1(a1427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2184,plain,
    ( c3_1(a1427)
    | ~ c0_1(a1427)
    | ~ spl0_76
    | ~ spl0_98 ),
    inference(resolution,[],[f651,f536]) ).

fof(f536,plain,
    ( c2_1(a1427)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f2168,plain,
    ( ~ spl0_143
    | spl0_21
    | ~ spl0_77
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2157,f803,f539,f295,f918]) ).

fof(f918,plain,
    ( spl0_143
  <=> c0_1(a1452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f295,plain,
    ( spl0_21
  <=> c3_1(a1452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f539,plain,
    ( spl0_77
  <=> ! [X104] :
        ( c3_1(X104)
        | ~ c0_1(X104)
        | ~ c1_1(X104) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f803,plain,
    ( spl0_126
  <=> c1_1(a1452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f2157,plain,
    ( c3_1(a1452)
    | ~ c0_1(a1452)
    | ~ spl0_77
    | ~ spl0_126 ),
    inference(resolution,[],[f540,f805]) ).

fof(f805,plain,
    ( c1_1(a1452)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f803]) ).

fof(f540,plain,
    ( ! [X104] :
        ( ~ c1_1(X104)
        | ~ c0_1(X104)
        | c3_1(X104) )
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f539]) ).

fof(f2166,plain,
    ( spl0_137
    | ~ spl0_102
    | ~ spl0_77
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f2153,f1059,f539,f669,f877]) ).

fof(f877,plain,
    ( spl0_137
  <=> c3_1(a1435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f669,plain,
    ( spl0_102
  <=> c0_1(a1435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1059,plain,
    ( spl0_163
  <=> c1_1(a1435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f2153,plain,
    ( ~ c0_1(a1435)
    | c3_1(a1435)
    | ~ spl0_77
    | ~ spl0_163 ),
    inference(resolution,[],[f540,f1061]) ).

fof(f1061,plain,
    ( c1_1(a1435)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1059]) ).

fof(f2165,plain,
    ( spl0_53
    | ~ spl0_65
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f2161,f539,f481,f430]) ).

fof(f430,plain,
    ( spl0_53
  <=> ! [X95] :
        ( c2_1(X95)
        | ~ c0_1(X95)
        | c3_1(X95) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f2161,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_65
    | ~ spl0_77 ),
    inference(duplicate_literal_removal,[],[f2148]) ).

fof(f2148,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_65
    | ~ spl0_77 ),
    inference(resolution,[],[f540,f482]) ).

fof(f2147,plain,
    ( spl0_113
    | spl0_105
    | ~ spl0_75
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2126,f850,f530,f687,f730]) ).

fof(f530,plain,
    ( spl0_75
  <=> ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f2126,plain,
    ( c1_1(a1445)
    | c3_1(a1445)
    | ~ spl0_75
    | ~ spl0_133 ),
    inference(resolution,[],[f531,f852]) ).

fof(f852,plain,
    ( c0_1(a1445)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f531,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f2146,plain,
    ( spl0_166
    | spl0_132
    | ~ spl0_75
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2121,f959,f530,f843,f1081]) ).

fof(f1081,plain,
    ( spl0_166
  <=> c1_1(a1427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f2121,plain,
    ( c3_1(a1427)
    | c1_1(a1427)
    | ~ spl0_75
    | ~ spl0_150 ),
    inference(resolution,[],[f531,f961]) ).

fof(f961,plain,
    ( c0_1(a1427)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f959]) ).

fof(f2142,plain,
    ( spl0_67
    | spl0_148
    | ~ spl0_75
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f2128,f1138,f530,f947,f491]) ).

fof(f947,plain,
    ( spl0_148
  <=> c1_1(a1451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f2128,plain,
    ( c1_1(a1451)
    | c3_1(a1451)
    | ~ spl0_75
    | ~ spl0_170 ),
    inference(resolution,[],[f531,f1140]) ).

fof(f1140,plain,
    ( c0_1(a1451)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1138]) ).

fof(f2027,plain,
    ( spl0_45
    | ~ spl0_118
    | ~ spl0_49
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f2012,f1115,f414,f759,f396]) ).

fof(f396,plain,
    ( spl0_45
  <=> c1_1(a1477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f759,plain,
    ( spl0_118
  <=> c2_1(a1477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f414,plain,
    ( spl0_49
  <=> ! [X45] :
        ( ~ c2_1(X45)
        | c1_1(X45)
        | ~ c3_1(X45) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1115,plain,
    ( spl0_168
  <=> c3_1(a1477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f2012,plain,
    ( ~ c2_1(a1477)
    | c1_1(a1477)
    | ~ spl0_49
    | ~ spl0_168 ),
    inference(resolution,[],[f415,f1117]) ).

fof(f1117,plain,
    ( c3_1(a1477)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1115]) ).

fof(f415,plain,
    ( ! [X45] :
        ( ~ c3_1(X45)
        | c1_1(X45)
        | ~ c2_1(X45) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f2024,plain,
    ( spl0_104
    | ~ spl0_164
    | ~ spl0_49
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f2007,f543,f414,f1065,f682]) ).

fof(f543,plain,
    ( spl0_78
  <=> c3_1(a1441) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f2007,plain,
    ( ~ c2_1(a1441)
    | c1_1(a1441)
    | ~ spl0_49
    | ~ spl0_78 ),
    inference(resolution,[],[f415,f545]) ).

fof(f545,plain,
    ( c3_1(a1441)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f1976,plain,
    ( spl0_165
    | spl0_155
    | ~ spl0_15
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1863,f558,f270,f986,f1076]) ).

fof(f1863,plain,
    ( c0_1(a1504)
    | c3_1(a1504)
    | ~ spl0_15
    | ~ spl0_81 ),
    inference(resolution,[],[f271,f560]) ).

fof(f560,plain,
    ( c2_1(a1504)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f558]) ).

fof(f1972,plain,
    ( spl0_22
    | spl0_167
    | ~ spl0_31
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1920,f809,f337,f1099,f300]) ).

fof(f1920,plain,
    ( c1_1(a1448)
    | c2_1(a1448)
    | ~ spl0_31
    | ~ spl0_127 ),
    inference(resolution,[],[f338,f811]) ).

fof(f811,plain,
    ( c0_1(a1448)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f809]) ).

fof(f1969,plain,
    ( spl0_132
    | ~ spl0_76
    | ~ spl0_66
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1947,f1081,f486,f534,f843]) ).

fof(f486,plain,
    ( spl0_66
  <=> ! [X70] :
        ( ~ c2_1(X70)
        | c3_1(X70)
        | ~ c1_1(X70) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1947,plain,
    ( ~ c2_1(a1427)
    | c3_1(a1427)
    | ~ spl0_66
    | ~ spl0_166 ),
    inference(resolution,[],[f487,f1083]) ).

fof(f1083,plain,
    ( c1_1(a1427)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1081]) ).

fof(f487,plain,
    ( ! [X70] :
        ( ~ c1_1(X70)
        | ~ c2_1(X70)
        | c3_1(X70) )
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f1966,plain,
    ( spl0_82
    | ~ spl0_142
    | ~ spl0_39
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1955,f486,f371,f912,f563]) ).

fof(f371,plain,
    ( spl0_39
  <=> c1_1(a1449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1955,plain,
    ( ~ c2_1(a1449)
    | c3_1(a1449)
    | ~ spl0_39
    | ~ spl0_66 ),
    inference(resolution,[],[f487,f373]) ).

fof(f373,plain,
    ( c1_1(a1449)
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f1897,plain,
    ( spl0_135
    | ~ spl0_182
    | ~ spl0_16
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1886,f568,f273,f1504,f862]) ).

fof(f273,plain,
    ( spl0_16
  <=> ! [X79] :
        ( c0_1(X79)
        | ~ c2_1(X79)
        | ~ c1_1(X79) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1886,plain,
    ( ~ c2_1(a1468)
    | c0_1(a1468)
    | ~ spl0_16
    | ~ spl0_83 ),
    inference(resolution,[],[f274,f570]) ).

fof(f274,plain,
    ( ! [X79] :
        ( ~ c1_1(X79)
        | ~ c2_1(X79)
        | c0_1(X79) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f1869,plain,
    ( spl0_122
    | spl0_1
    | ~ spl0_15
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f1856,f1510,f270,f208,f780]) ).

fof(f780,plain,
    ( spl0_122
  <=> c3_1(a1454) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f208,plain,
    ( spl0_1
  <=> c0_1(a1454) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1510,plain,
    ( spl0_183
  <=> c2_1(a1454) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f1856,plain,
    ( c0_1(a1454)
    | c3_1(a1454)
    | ~ spl0_15
    | ~ spl0_183 ),
    inference(resolution,[],[f271,f1512]) ).

fof(f1512,plain,
    ( c2_1(a1454)
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f1510]) ).

fof(f1868,plain,
    ( spl0_3
    | spl0_32
    | ~ spl0_15
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1858,f1131,f270,f341,f217]) ).

fof(f217,plain,
    ( spl0_3
  <=> c3_1(a1460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f341,plain,
    ( spl0_32
  <=> c0_1(a1460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1131,plain,
    ( spl0_169
  <=> c2_1(a1460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f1858,plain,
    ( c0_1(a1460)
    | c3_1(a1460)
    | ~ spl0_15
    | ~ spl0_169 ),
    inference(resolution,[],[f271,f1133]) ).

fof(f1133,plain,
    ( c2_1(a1460)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1131]) ).

fof(f1830,plain,
    ( spl0_51
    | spl0_68
    | ~ spl0_43
    | spl0_172 ),
    inference(avatar_split_clause,[],[f1619,f1191,f389,f498,f421]) ).

fof(f421,plain,
    ( spl0_51
  <=> c2_1(a1431) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f498,plain,
    ( spl0_68
  <=> c0_1(a1431) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1191,plain,
    ( spl0_172
  <=> c3_1(a1431) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f1619,plain,
    ( c0_1(a1431)
    | c2_1(a1431)
    | ~ spl0_43
    | spl0_172 ),
    inference(resolution,[],[f1192,f390]) ).

fof(f390,plain,
    ( ! [X111] :
        ( c3_1(X111)
        | c0_1(X111)
        | c2_1(X111) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f1192,plain,
    ( ~ c3_1(a1431)
    | spl0_172 ),
    inference(avatar_component_clause,[],[f1191]) ).

fof(f1802,plain,
    ( spl0_135
    | ~ spl0_141
    | ~ spl0_63
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1790,f568,f474,f905,f862]) ).

fof(f474,plain,
    ( spl0_63
  <=> ! [X60] :
        ( c0_1(X60)
        | ~ c1_1(X60)
        | ~ c3_1(X60) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1790,plain,
    ( ~ c3_1(a1468)
    | c0_1(a1468)
    | ~ spl0_63
    | ~ spl0_83 ),
    inference(resolution,[],[f475,f570]) ).

fof(f475,plain,
    ( ! [X60] :
        ( ~ c1_1(X60)
        | c0_1(X60)
        | ~ c3_1(X60) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f1737,plain,
    ( spl0_113
    | spl0_186
    | ~ spl0_53
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1724,f850,f430,f1734,f730]) ).

fof(f1724,plain,
    ( c2_1(a1445)
    | c3_1(a1445)
    | ~ spl0_53
    | ~ spl0_133 ),
    inference(resolution,[],[f431,f852]) ).

fof(f431,plain,
    ( ! [X95] :
        ( ~ c0_1(X95)
        | c2_1(X95)
        | c3_1(X95) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f1692,plain,
    ( spl0_148
    | spl0_170
    | ~ spl0_38
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1680,f411,f366,f1138,f947]) ).

fof(f411,plain,
    ( spl0_48
  <=> ! [X43] :
        ( ~ c2_1(X43)
        | c0_1(X43)
        | c1_1(X43) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1680,plain,
    ( c0_1(a1451)
    | c1_1(a1451)
    | ~ spl0_38
    | ~ spl0_48 ),
    inference(resolution,[],[f412,f368]) ).

fof(f412,plain,
    ( ! [X43] :
        ( ~ c2_1(X43)
        | c0_1(X43)
        | c1_1(X43) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f1691,plain,
    ( spl0_124
    | spl0_45
    | ~ spl0_48
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1684,f759,f411,f396,f790]) ).

fof(f790,plain,
    ( spl0_124
  <=> c0_1(a1477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1684,plain,
    ( c1_1(a1477)
    | c0_1(a1477)
    | ~ spl0_48
    | ~ spl0_118 ),
    inference(resolution,[],[f412,f761]) ).

fof(f761,plain,
    ( c2_1(a1477)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f759]) ).

fof(f1584,plain,
    ( ~ spl0_164
    | ~ spl0_61
    | ~ spl0_50
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1527,f543,f417,f464,f1065]) ).

fof(f417,plain,
    ( spl0_50
  <=> ! [X44] :
        ( ~ c2_1(X44)
        | ~ c0_1(X44)
        | ~ c3_1(X44) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1527,plain,
    ( ~ c0_1(a1441)
    | ~ c2_1(a1441)
    | ~ spl0_50
    | ~ spl0_78 ),
    inference(resolution,[],[f418,f545]) ).

fof(f418,plain,
    ( ! [X44] :
        ( ~ c3_1(X44)
        | ~ c2_1(X44)
        | ~ c0_1(X44) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f1583,plain,
    ( spl0_85
    | ~ spl0_29
    | ~ spl0_43
    | spl0_145 ),
    inference(avatar_split_clause,[],[f1582,f930,f389,f331,f580]) ).

fof(f580,plain,
    ( spl0_85
  <=> c0_1(a1457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f331,plain,
    ( spl0_29
  <=> ! [X14] :
        ( c2_1(X14)
        | c0_1(X14)
        | ~ c3_1(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f930,plain,
    ( spl0_145
  <=> c2_1(a1457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1582,plain,
    ( c0_1(a1457)
    | ~ spl0_29
    | ~ spl0_43
    | spl0_145 ),
    inference(resolution,[],[f932,f1392]) ).

fof(f1392,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_29
    | ~ spl0_43 ),
    inference(duplicate_literal_removal,[],[f1379]) ).

fof(f1379,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_29
    | ~ spl0_43 ),
    inference(resolution,[],[f390,f332]) ).

fof(f332,plain,
    ( ! [X14] :
        ( ~ c3_1(X14)
        | c2_1(X14)
        | c0_1(X14) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f932,plain,
    ( ~ c2_1(a1457)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f1574,plain,
    ( spl0_122
    | spl0_183
    | ~ spl0_54
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1556,f798,f433,f1510,f780]) ).

fof(f433,plain,
    ( spl0_54
  <=> ! [X94] :
        ( ~ c1_1(X94)
        | c2_1(X94)
        | c3_1(X94) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f798,plain,
    ( spl0_125
  <=> c1_1(a1454) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1556,plain,
    ( c2_1(a1454)
    | c3_1(a1454)
    | ~ spl0_54
    | ~ spl0_125 ),
    inference(resolution,[],[f434,f800]) ).

fof(f800,plain,
    ( c1_1(a1454)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f798]) ).

fof(f434,plain,
    ( ! [X94] :
        ( ~ c1_1(X94)
        | c2_1(X94)
        | c3_1(X94) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f1573,plain,
    ( ~ spl0_131
    | ~ spl0_147
    | ~ spl0_50
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1571,f599,f417,f940,f837]) ).

fof(f837,plain,
    ( spl0_131
  <=> c2_1(a1428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f940,plain,
    ( spl0_147
  <=> c0_1(a1428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f599,plain,
    ( spl0_88
  <=> c3_1(a1428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1571,plain,
    ( ~ c0_1(a1428)
    | ~ c2_1(a1428)
    | ~ spl0_50
    | ~ spl0_88 ),
    inference(resolution,[],[f601,f418]) ).

fof(f601,plain,
    ( c3_1(a1428)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f1567,plain,
    ( spl0_137
    | spl0_120
    | ~ spl0_54
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1552,f1059,f433,f769,f877]) ).

fof(f769,plain,
    ( spl0_120
  <=> c2_1(a1435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1552,plain,
    ( c2_1(a1435)
    | c3_1(a1435)
    | ~ spl0_54
    | ~ spl0_163 ),
    inference(resolution,[],[f434,f1061]) ).

fof(f1544,plain,
    ( ~ spl0_70
    | ~ spl0_91
    | ~ spl0_50
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1535,f1234,f417,f613,f508]) ).

fof(f508,plain,
    ( spl0_70
  <=> c2_1(a1466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f613,plain,
    ( spl0_91
  <=> c0_1(a1466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1234,plain,
    ( spl0_175
  <=> c3_1(a1466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f1535,plain,
    ( ~ c0_1(a1466)
    | ~ c2_1(a1466)
    | ~ spl0_50
    | ~ spl0_175 ),
    inference(resolution,[],[f418,f1236]) ).

fof(f1236,plain,
    ( c3_1(a1466)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f1234]) ).

fof(f1514,plain,
    ( spl0_94
    | ~ spl0_96
    | ~ spl0_44
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1491,f900,f392,f638,f627]) ).

fof(f627,plain,
    ( spl0_94
  <=> c2_1(a1434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1491,plain,
    ( ~ c3_1(a1434)
    | c2_1(a1434)
    | ~ spl0_44
    | ~ spl0_140 ),
    inference(resolution,[],[f393,f902]) ).

fof(f1507,plain,
    ( spl0_182
    | ~ spl0_141
    | ~ spl0_44
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1498,f568,f392,f905,f1504]) ).

fof(f1498,plain,
    ( ~ c3_1(a1468)
    | c2_1(a1468)
    | ~ spl0_44
    | ~ spl0_83 ),
    inference(resolution,[],[f393,f570]) ).

fof(f1432,plain,
    ( spl0_1
    | ~ spl0_15
    | ~ spl0_29
    | ~ spl0_43
    | spl0_122 ),
    inference(avatar_split_clause,[],[f1428,f780,f389,f331,f270,f208]) ).

fof(f1428,plain,
    ( c0_1(a1454)
    | ~ spl0_15
    | ~ spl0_29
    | ~ spl0_43
    | spl0_122 ),
    inference(resolution,[],[f1410,f782]) ).

fof(f782,plain,
    ( ~ c3_1(a1454)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f1410,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_15
    | ~ spl0_29
    | ~ spl0_43 ),
    inference(duplicate_literal_removal,[],[f1401]) ).

fof(f1401,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_15
    | ~ spl0_29
    | ~ spl0_43 ),
    inference(resolution,[],[f1392,f271]) ).

fof(f1373,plain,
    ( spl0_123
    | spl0_110
    | ~ spl0_29
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1358,f513,f331,f712,f785]) ).

fof(f712,plain,
    ( spl0_110
  <=> c0_1(a1430) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1358,plain,
    ( c0_1(a1430)
    | c2_1(a1430)
    | ~ spl0_29
    | ~ spl0_71 ),
    inference(resolution,[],[f332,f515]) ).

fof(f515,plain,
    ( c3_1(a1430)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f1303,plain,
    ( spl0_119
    | ~ spl0_103
    | ~ spl0_16
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1302,f1033,f273,f675,f764]) ).

fof(f764,plain,
    ( spl0_119
  <=> c0_1(a1429) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1302,plain,
    ( ~ c2_1(a1429)
    | c0_1(a1429)
    | ~ spl0_16
    | ~ spl0_161 ),
    inference(resolution,[],[f1035,f274]) ).

fof(f1297,plain,
    ( ~ spl0_127
    | spl0_22
    | ~ spl0_11
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1291,f889,f253,f300,f809]) ).

fof(f253,plain,
    ( spl0_11
  <=> ! [X96] :
        ( ~ c0_1(X96)
        | ~ c3_1(X96)
        | c2_1(X96) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f1291,plain,
    ( c2_1(a1448)
    | ~ c0_1(a1448)
    | ~ spl0_11
    | ~ spl0_138 ),
    inference(resolution,[],[f254,f891]) ).

fof(f891,plain,
    ( c3_1(a1448)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f889]) ).

fof(f254,plain,
    ( ! [X96] :
        ( ~ c3_1(X96)
        | ~ c0_1(X96)
        | c2_1(X96) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f1296,plain,
    ( spl0_94
    | ~ spl0_173
    | ~ spl0_11
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1286,f638,f253,f1204,f627]) ).

fof(f1286,plain,
    ( ~ c0_1(a1434)
    | c2_1(a1434)
    | ~ spl0_11
    | ~ spl0_96 ),
    inference(resolution,[],[f254,f640]) ).

fof(f640,plain,
    ( c3_1(a1434)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f1244,plain,
    ( spl0_176
    | spl0_123
    | ~ spl0_35
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1239,f513,f354,f785,f1241]) ).

fof(f354,plain,
    ( spl0_35
  <=> ! [X98] :
        ( c1_1(X98)
        | c2_1(X98)
        | ~ c3_1(X98) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1239,plain,
    ( c2_1(a1430)
    | c1_1(a1430)
    | ~ spl0_35
    | ~ spl0_71 ),
    inference(resolution,[],[f515,f355]) ).

fof(f355,plain,
    ( ! [X98] :
        ( ~ c3_1(X98)
        | c2_1(X98)
        | c1_1(X98) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f1237,plain,
    ( spl0_175
    | spl0_107
    | ~ spl0_30
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1232,f508,f334,f698,f1234]) ).

fof(f698,plain,
    ( spl0_107
  <=> c1_1(a1466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f334,plain,
    ( spl0_30
  <=> ! [X15] :
        ( ~ c2_1(X15)
        | c1_1(X15)
        | c3_1(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1232,plain,
    ( c1_1(a1466)
    | c3_1(a1466)
    | ~ spl0_30
    | ~ spl0_70 ),
    inference(resolution,[],[f510,f335]) ).

fof(f335,plain,
    ( ! [X15] :
        ( ~ c2_1(X15)
        | c1_1(X15)
        | c3_1(X15) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f510,plain,
    ( c2_1(a1466)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f1224,plain,
    ( spl0_169
    | spl0_3
    | ~ spl0_65
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1217,f775,f481,f217,f1131]) ).

fof(f775,plain,
    ( spl0_121
  <=> c1_1(a1460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1217,plain,
    ( c3_1(a1460)
    | c2_1(a1460)
    | ~ spl0_65
    | spl0_121 ),
    inference(resolution,[],[f482,f777]) ).

fof(f777,plain,
    ( ~ c1_1(a1460)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f1208,plain,
    ( ~ spl0_172
    | spl0_68
    | ~ spl0_62
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1198,f474,f469,f498,f1191]) ).

fof(f469,plain,
    ( spl0_62
  <=> c1_1(a1431) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f1198,plain,
    ( c0_1(a1431)
    | ~ c3_1(a1431)
    | ~ spl0_62
    | ~ spl0_63 ),
    inference(resolution,[],[f475,f471]) ).

fof(f471,plain,
    ( c1_1(a1431)
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f1207,plain,
    ( spl0_173
    | ~ spl0_96
    | ~ spl0_63
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1199,f900,f474,f638,f1204]) ).

fof(f1199,plain,
    ( ~ c3_1(a1434)
    | c0_1(a1434)
    | ~ spl0_63
    | ~ spl0_140 ),
    inference(resolution,[],[f475,f902]) ).

fof(f1180,plain,
    ( spl0_120
    | spl0_137
    | ~ spl0_53
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1174,f669,f430,f877,f769]) ).

fof(f1174,plain,
    ( c3_1(a1435)
    | c2_1(a1435)
    | ~ spl0_53
    | ~ spl0_102 ),
    inference(resolution,[],[f431,f671]) ).

fof(f671,plain,
    ( c0_1(a1435)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f1165,plain,
    ( spl0_134
    | ~ spl0_159
    | ~ spl0_49
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1160,f437,f414,f1017,f857]) ).

fof(f857,plain,
    ( spl0_134
  <=> c1_1(a1438) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1017,plain,
    ( spl0_159
  <=> c2_1(a1438) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f437,plain,
    ( spl0_55
  <=> c3_1(a1438) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1160,plain,
    ( ~ c2_1(a1438)
    | c1_1(a1438)
    | ~ spl0_49
    | ~ spl0_55 ),
    inference(resolution,[],[f415,f439]) ).

fof(f439,plain,
    ( c3_1(a1438)
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f1158,plain,
    ( spl0_101
    | spl0_134
    | ~ spl0_48
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1150,f1017,f411,f857,f663]) ).

fof(f663,plain,
    ( spl0_101
  <=> c0_1(a1438) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1150,plain,
    ( c1_1(a1438)
    | c0_1(a1438)
    | ~ spl0_48
    | ~ spl0_159 ),
    inference(resolution,[],[f412,f1019]) ).

fof(f1019,plain,
    ( c2_1(a1438)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1017]) ).

fof(f1156,plain,
    ( spl0_161
    | spl0_119
    | ~ spl0_48
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1149,f675,f411,f764,f1033]) ).

fof(f1149,plain,
    ( c0_1(a1429)
    | c1_1(a1429)
    | ~ spl0_48
    | ~ spl0_103 ),
    inference(resolution,[],[f412,f677]) ).

fof(f677,plain,
    ( c2_1(a1429)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f1142,plain,
    ( spl0_116
    | spl0_106
    | ~ spl0_43
    | spl0_130 ),
    inference(avatar_split_clause,[],[f1124,f829,f389,f692,f748]) ).

fof(f748,plain,
    ( spl0_116
  <=> c0_1(a1447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f692,plain,
    ( spl0_106
  <=> c2_1(a1447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f829,plain,
    ( spl0_130
  <=> c3_1(a1447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1124,plain,
    ( c2_1(a1447)
    | c0_1(a1447)
    | ~ spl0_43
    | spl0_130 ),
    inference(resolution,[],[f390,f831]) ).

fof(f831,plain,
    ( ~ c3_1(a1447)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f1135,plain,
    ( spl0_25
    | ~ spl0_35
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f1129,f389,f354,f313]) ).

fof(f313,plain,
    ( spl0_25
  <=> ! [X54] :
        ( c2_1(X54)
        | c1_1(X54)
        | c0_1(X54) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f1129,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_35
    | ~ spl0_43 ),
    inference(duplicate_literal_removal,[],[f1119]) ).

fof(f1119,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_35
    | ~ spl0_43 ),
    inference(resolution,[],[f390,f355]) ).

fof(f1118,plain,
    ( spl0_168
    | spl0_45
    | ~ spl0_30
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1113,f759,f334,f396,f1115]) ).

fof(f1113,plain,
    ( c1_1(a1477)
    | c3_1(a1477)
    | ~ spl0_30
    | ~ spl0_118 ),
    inference(resolution,[],[f761,f335]) ).

fof(f1111,plain,
    ( ~ spl0_142
    | ~ spl0_158
    | ~ spl0_36
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1108,f371,f358,f1007,f912]) ).

fof(f358,plain,
    ( spl0_36
  <=> ! [X12] :
        ( ~ c1_1(X12)
        | ~ c0_1(X12)
        | ~ c2_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1108,plain,
    ( ~ c0_1(a1449)
    | ~ c2_1(a1449)
    | ~ spl0_36
    | ~ spl0_39 ),
    inference(resolution,[],[f359,f373]) ).

fof(f359,plain,
    ( ! [X12] :
        ( ~ c1_1(X12)
        | ~ c0_1(X12)
        | ~ c2_1(X12) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f1110,plain,
    ( ~ spl0_76
    | ~ spl0_150
    | ~ spl0_36
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1105,f1081,f358,f959,f534]) ).

fof(f1105,plain,
    ( ~ c0_1(a1427)
    | ~ c2_1(a1427)
    | ~ spl0_36
    | ~ spl0_166 ),
    inference(resolution,[],[f359,f1083]) ).

fof(f1102,plain,
    ( spl0_22
    | spl0_167
    | ~ spl0_35
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1097,f889,f354,f1099,f300]) ).

fof(f1097,plain,
    ( c1_1(a1448)
    | c2_1(a1448)
    | ~ spl0_35
    | ~ spl0_138 ),
    inference(resolution,[],[f891,f355]) ).

fof(f1093,plain,
    ( spl0_134
    | spl0_159
    | ~ spl0_35
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1087,f437,f354,f1017,f857]) ).

fof(f1087,plain,
    ( c2_1(a1438)
    | c1_1(a1438)
    | ~ spl0_35
    | ~ spl0_55 ),
    inference(resolution,[],[f355,f439]) ).

fof(f1092,plain,
    ( spl0_164
    | spl0_104
    | ~ spl0_35
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1088,f543,f354,f682,f1065]) ).

fof(f1088,plain,
    ( c1_1(a1441)
    | c2_1(a1441)
    | ~ spl0_35
    | ~ spl0_78 ),
    inference(resolution,[],[f355,f545]) ).

fof(f1084,plain,
    ( spl0_132
    | spl0_166
    | ~ spl0_30
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1071,f534,f334,f1081,f843]) ).

fof(f1071,plain,
    ( c1_1(a1427)
    | c3_1(a1427)
    | ~ spl0_30
    | ~ spl0_76 ),
    inference(resolution,[],[f335,f536]) ).

fof(f1068,plain,
    ( spl0_164
    | ~ spl0_61
    | ~ spl0_11
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1063,f543,f253,f464,f1065]) ).

fof(f1063,plain,
    ( ~ c0_1(a1441)
    | c2_1(a1441)
    | ~ spl0_11
    | ~ spl0_78 ),
    inference(resolution,[],[f545,f254]) ).

fof(f1062,plain,
    ( spl0_163
    | spl0_120
    | ~ spl0_31
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1057,f669,f337,f769,f1059]) ).

fof(f1057,plain,
    ( c2_1(a1435)
    | c1_1(a1435)
    | ~ spl0_31
    | ~ spl0_102 ),
    inference(resolution,[],[f338,f671]) ).

fof(f1056,plain,
    ( spl0_148
    | spl0_67
    | ~ spl0_30
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f1048,f366,f334,f491,f947]) ).

fof(f1048,plain,
    ( c3_1(a1451)
    | c1_1(a1451)
    | ~ spl0_30
    | ~ spl0_38 ),
    inference(resolution,[],[f335,f368]) ).

fof(f1045,plain,
    ( spl0_159
    | spl0_101
    | ~ spl0_29
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1043,f437,f331,f663,f1017]) ).

fof(f1043,plain,
    ( c0_1(a1438)
    | c2_1(a1438)
    | ~ spl0_29
    | ~ spl0_55 ),
    inference(resolution,[],[f332,f439]) ).

fof(f1030,plain,
    ( spl0_101
    | spl0_134
    | ~ spl0_27
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1029,f437,f322,f857,f663]) ).

fof(f322,plain,
    ( spl0_27
  <=> ! [X21] :
        ( c0_1(X21)
        | c1_1(X21)
        | ~ c3_1(X21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1029,plain,
    ( c1_1(a1438)
    | c0_1(a1438)
    | ~ spl0_27
    | ~ spl0_55 ),
    inference(resolution,[],[f323,f439]) ).

fof(f323,plain,
    ( ! [X21] :
        ( ~ c3_1(X21)
        | c0_1(X21)
        | c1_1(X21) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f1026,plain,
    ( spl0_145
    | spl0_85
    | ~ spl0_25
    | spl0_149 ),
    inference(avatar_split_clause,[],[f1014,f954,f313,f580,f930]) ).

fof(f954,plain,
    ( spl0_149
  <=> c1_1(a1457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1014,plain,
    ( c0_1(a1457)
    | c2_1(a1457)
    | ~ spl0_25
    | spl0_149 ),
    inference(resolution,[],[f314,f956]) ).

fof(f956,plain,
    ( ~ c1_1(a1457)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f954]) ).

fof(f314,plain,
    ( ! [X54] :
        ( c1_1(X54)
        | c0_1(X54)
        | c2_1(X54) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f1020,plain,
    ( spl0_101
    | spl0_159
    | ~ spl0_25
    | spl0_134 ),
    inference(avatar_split_clause,[],[f1012,f857,f313,f1017,f663]) ).

fof(f1012,plain,
    ( c2_1(a1438)
    | c0_1(a1438)
    | ~ spl0_25
    | spl0_134 ),
    inference(resolution,[],[f314,f859]) ).

fof(f859,plain,
    ( ~ c1_1(a1438)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f857]) ).

fof(f1011,plain,
    ( ~ spl0_81
    | spl0_155
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f1003,f273,f257,f986,f558]) ).

fof(f257,plain,
    ( spl0_12
  <=> c1_1(a1504) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1003,plain,
    ( c0_1(a1504)
    | ~ c2_1(a1504)
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(resolution,[],[f274,f259]) ).

fof(f259,plain,
    ( c1_1(a1504)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f1010,plain,
    ( ~ spl0_142
    | spl0_158
    | ~ spl0_16
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1004,f371,f273,f1007,f912]) ).

fof(f1004,plain,
    ( c0_1(a1449)
    | ~ c2_1(a1449)
    | ~ spl0_16
    | ~ spl0_39 ),
    inference(resolution,[],[f274,f373]) ).

fof(f1000,plain,
    ( ~ spl0_42
    | spl0_5 ),
    inference(avatar_split_clause,[],[f119,f226,f385]) ).

fof(f385,plain,
    ( spl0_42
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f226,plain,
    ( spl0_5
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f119,plain,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp14
      | ! [X79] :
          ( ~ c2_1(X79)
          | ~ c1_1(X79)
          | ~ ndr1_0
          | c0_1(X79) )
      | ! [X78] :
          ( c3_1(X78)
          | c0_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0 ) )
    & ( ~ hskp12
      | ( c0_1(a1448)
        & c3_1(a1448)
        & ndr1_0
        & ~ c2_1(a1448) ) )
    & ( ( c0_1(a1441)
        & c3_1(a1441)
        & ndr1_0
        & ~ c1_1(a1441) )
      | ~ hskp8 )
    & ( hskp3
      | hskp0
      | ! [X9] :
          ( c3_1(X9)
          | ~ c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( ( c0_1(a1445)
        & ndr1_0
        & ~ c1_1(a1445)
        & ~ c3_1(a1445) )
      | ~ hskp10 )
    & ( ! [X5] :
          ( c1_1(X5)
          | ~ ndr1_0
          | c3_1(X5)
          | c0_1(X5) )
      | ! [X4] :
          ( c2_1(X4)
          | ~ ndr1_0
          | c1_1(X4)
          | c3_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | c3_1(X3)
          | ~ c1_1(X3) ) )
    & ( ! [X89] :
          ( c1_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0
          | c2_1(X89) )
      | hskp20
      | ! [X88] :
          ( ~ c0_1(X88)
          | ~ ndr1_0
          | c3_1(X88)
          | ~ c1_1(X88) ) )
    & ( ! [X40] :
          ( ~ c3_1(X40)
          | c0_1(X40)
          | ~ ndr1_0
          | c2_1(X40) )
      | ! [X41] :
          ( c2_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0
          | ~ c1_1(X41) )
      | hskp10 )
    & ( hskp8
      | hskp14
      | hskp19 )
    & ( ! [X58] :
          ( c1_1(X58)
          | c2_1(X58)
          | ~ ndr1_0
          | ~ c3_1(X58) )
      | hskp22
      | ! [X59] :
          ( ~ c0_1(X59)
          | c2_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X109] :
          ( ~ c2_1(X109)
          | c3_1(X109)
          | ~ ndr1_0
          | ~ c0_1(X109) )
      | ! [X110] :
          ( ~ ndr1_0
          | c2_1(X110)
          | ~ c0_1(X110)
          | c1_1(X110) )
      | hskp19 )
    & ( ! [X7] :
          ( c3_1(X7)
          | ~ ndr1_0
          | c2_1(X7)
          | ~ c0_1(X7) )
      | hskp0
      | ! [X8] :
          ( c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0
          | c0_1(X8) ) )
    & ( ~ hskp17
      | ( ~ c1_1(a1457)
        & ~ c2_1(a1457)
        & ndr1_0
        & ~ c0_1(a1457) ) )
    & ( hskp25
      | ! [X74] :
          ( ~ c2_1(X74)
          | ~ ndr1_0
          | ~ c3_1(X74)
          | ~ c1_1(X74) )
      | hskp13 )
    & ( hskp1
      | ! [X54] :
          ( ~ ndr1_0
          | c0_1(X54)
          | c1_1(X54)
          | c2_1(X54) )
      | hskp2 )
    & ( hskp7
      | hskp6
      | ! [X97] :
          ( ~ ndr1_0
          | c0_1(X97)
          | ~ c3_1(X97)
          | c1_1(X97) ) )
    & ( hskp13
      | ! [X102] :
          ( c3_1(X102)
          | ~ ndr1_0
          | ~ c2_1(X102)
          | c1_1(X102) )
      | ! [X103] :
          ( ~ c3_1(X103)
          | ~ ndr1_0
          | ~ c0_1(X103)
          | ~ c1_1(X103) ) )
    & ( hskp15
      | hskp13
      | hskp27 )
    & ( hskp11
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c3_1(X32)
          | c1_1(X32)
          | ~ c2_1(X32) )
      | hskp20 )
    & ( hskp11
      | hskp5
      | ! [X120] :
          ( c0_1(X120)
          | ~ c3_1(X120)
          | c2_1(X120)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c2_1(X66)
          | ~ c0_1(X66)
          | ~ c1_1(X66)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c3_1(X65)
          | c1_1(X65)
          | ~ ndr1_0
          | c2_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | c1_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64) ) )
    & ( ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | ~ c1_1(X62)
          | ~ c0_1(X62) )
      | hskp0
      | ! [X61] :
          ( c2_1(X61)
          | ~ ndr1_0
          | ~ c1_1(X61)
          | c0_1(X61) ) )
    & ( hskp10
      | hskp12
      | hskp1 )
    & ( ~ hskp24
      | ( c3_1(a1487)
        & ndr1_0
        & ~ c1_1(a1487)
        & ~ c2_1(a1487) ) )
    & ( ! [X108] :
          ( ~ c2_1(X108)
          | c0_1(X108)
          | ~ ndr1_0
          | c1_1(X108) )
      | hskp0
      | hskp4 )
    & ( ! [X91] :
          ( c1_1(X91)
          | ~ ndr1_0
          | c2_1(X91)
          | c0_1(X91) )
      | hskp27
      | ! [X90] :
          ( ~ c1_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0
          | ~ c2_1(X90) ) )
    & ( ~ hskp25
      | ( ~ c0_1(a1504)
        & c2_1(a1504)
        & c1_1(a1504)
        & ndr1_0 ) )
    & ( ! [X35] :
          ( ~ c2_1(X35)
          | ~ ndr1_0
          | ~ c3_1(X35)
          | ~ c0_1(X35) )
      | hskp11
      | ! [X36] :
          ( ~ c0_1(X36)
          | ~ ndr1_0
          | c3_1(X36)
          | c2_1(X36) ) )
    & ( hskp5
      | hskp29
      | ! [X23] :
          ( ~ ndr1_0
          | c2_1(X23)
          | ~ c0_1(X23)
          | c3_1(X23) ) )
    & ( hskp9
      | hskp21
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c1_1(X12)
          | ~ c0_1(X12)
          | ~ c2_1(X12) ) )
    & ( hskp8
      | hskp14
      | hskp12 )
    & ( ~ hskp7
      | ( ~ c1_1(a1438)
        & c3_1(a1438)
        & ndr1_0
        & ~ c0_1(a1438) ) )
    & ( ! [X11] :
          ( ~ c2_1(X11)
          | ~ c3_1(X11)
          | ~ ndr1_0
          | ~ c1_1(X11) )
      | hskp28
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c3_1(X10)
          | c1_1(X10)
          | ~ c0_1(X10) ) )
    & ( hskp0
      | hskp25
      | ! [X0] :
          ( ~ c1_1(X0)
          | ~ c3_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp30
      | hskp8 )
    & ( ! [X6] :
          ( ~ c1_1(X6)
          | c3_1(X6)
          | c0_1(X6)
          | ~ ndr1_0 )
      | hskp13
      | hskp1 )
    & ( ! [X82] :
          ( ~ c2_1(X82)
          | ~ ndr1_0
          | ~ c3_1(X82)
          | c0_1(X82) )
      | ! [X81] :
          ( c2_1(X81)
          | ~ c3_1(X81)
          | ~ c1_1(X81)
          | ~ ndr1_0 )
      | hskp12 )
    & ( hskp8
      | hskp7
      | ! [X63] :
          ( c3_1(X63)
          | ~ ndr1_0
          | c0_1(X63)
          | c2_1(X63) ) )
    & ( ~ hskp4
      | ( c3_1(a1434)
        & c1_1(a1434)
        & ndr1_0
        & ~ c2_1(a1434) ) )
    & ( ( c1_1(a1507)
        & ndr1_0
        & c0_1(a1507)
        & c2_1(a1507) )
      | ~ hskp30 )
    & ( ~ hskp16
      | ( ndr1_0
        & ~ c0_1(a1454)
        & c1_1(a1454)
        & ~ c3_1(a1454) ) )
    & ( hskp12
      | ! [X76] :
          ( c2_1(X76)
          | ~ c1_1(X76)
          | ~ ndr1_0
          | c3_1(X76) )
      | ! [X75] :
          ( ~ c1_1(X75)
          | c0_1(X75)
          | c3_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X117] :
          ( c1_1(X117)
          | ~ c2_1(X117)
          | ~ c0_1(X117)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ( ndr1_0
        & c1_1(a1458)
        & ~ c2_1(a1458)
        & c0_1(a1458) )
      | ~ hskp18 )
    & ( ( ~ c3_1(a1427)
        & c2_1(a1427)
        & ndr1_0
        & c0_1(a1427) )
      | ~ hskp0 )
    & ( ! [X20] :
          ( c2_1(X20)
          | ~ c0_1(X20)
          | ~ ndr1_0
          | ~ c3_1(X20) )
      | hskp17
      | ! [X19] :
          ( ~ c1_1(X19)
          | c0_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X71] :
          ( ~ c0_1(X71)
          | ~ ndr1_0
          | c2_1(X71)
          | ~ c3_1(X71) )
      | ! [X72] :
          ( c0_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0
          | c1_1(X72) )
      | ! [X73] :
          ( c0_1(X73)
          | ~ c1_1(X73)
          | ~ ndr1_0
          | ~ c3_1(X73) ) )
    & ( ! [X111] :
          ( ~ ndr1_0
          | c2_1(X111)
          | c0_1(X111)
          | c3_1(X111) )
      | ! [X112] :
          ( ~ c3_1(X112)
          | ~ ndr1_0
          | c2_1(X112)
          | ~ c1_1(X112) )
      | hskp0 )
    & ( ( c2_1(a1451)
        & ~ c3_1(a1451)
        & ndr1_0
        & ~ c1_1(a1451) )
      | ~ hskp14 )
    & ( hskp9
      | ! [X86] :
          ( ~ c3_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c3_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0
          | c0_1(X87) ) )
    & ( hskp3
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c1_1(X60)
          | ~ c3_1(X60)
          | c0_1(X60) )
      | hskp19 )
    & ( ~ hskp23
      | ( ~ c1_1(a1477)
        & ndr1_0
        & ~ c0_1(a1477)
        & c2_1(a1477) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a1466)
        & c0_1(a1466)
        & ~ c1_1(a1466) ) )
    & ( hskp7
      | hskp4
      | ! [X99] :
          ( c2_1(X99)
          | ~ ndr1_0
          | ~ c0_1(X99)
          | c3_1(X99) ) )
    & ( ~ hskp9
      | ( ~ c2_1(a1444)
        & ~ c3_1(a1444)
        & ndr1_0
        & ~ c1_1(a1444) ) )
    & ( ! [X118] :
          ( c0_1(X118)
          | ~ ndr1_0
          | ~ c2_1(X118)
          | ~ c3_1(X118) )
      | hskp15
      | ! [X119] :
          ( ~ c1_1(X119)
          | c0_1(X119)
          | ~ ndr1_0
          | ~ c2_1(X119) ) )
    & ( ! [X107] :
          ( ~ ndr1_0
          | c3_1(X107)
          | c2_1(X107)
          | ~ c1_1(X107) )
      | ! [X106] :
          ( ~ c1_1(X106)
          | ~ c3_1(X106)
          | ~ ndr1_0
          | c2_1(X106) )
      | hskp7 )
    & ( ~ hskp29
      | ( c1_1(a1483)
        & c2_1(a1483)
        & c3_1(a1483)
        & ndr1_0 ) )
    & ( ! [X22] :
          ( ~ c0_1(X22)
          | ~ c3_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 )
      | hskp5
      | ! [X21] :
          ( c0_1(X21)
          | ~ ndr1_0
          | c1_1(X21)
          | ~ c3_1(X21) ) )
    & ( ! [X96] :
          ( ~ c0_1(X96)
          | ~ ndr1_0
          | c2_1(X96)
          | ~ c3_1(X96) )
      | hskp5
      | hskp17 )
    & ( ! [X14] :
          ( c2_1(X14)
          | ~ ndr1_0
          | c0_1(X14)
          | ~ c3_1(X14) )
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c0_1(X13)
          | c2_1(X13)
          | c1_1(X13) )
      | ! [X15] :
          ( c1_1(X15)
          | c3_1(X15)
          | ~ ndr1_0
          | ~ c2_1(X15) ) )
    & ( ( c2_1(a1429)
        & ndr1_0
        & c3_1(a1429)
        & ~ c0_1(a1429) )
      | ~ hskp1 )
    & ( ! [X55] :
          ( ~ c0_1(X55)
          | c2_1(X55)
          | ~ ndr1_0
          | c3_1(X55) )
      | ! [X57] :
          ( ~ ndr1_0
          | c1_1(X57)
          | ~ c2_1(X57)
          | c3_1(X57) )
      | ! [X56] :
          ( c0_1(X56)
          | ~ ndr1_0
          | ~ c1_1(X56)
          | ~ c2_1(X56) ) )
    & ( hskp22
      | hskp3
      | ! [X16] :
          ( ~ c1_1(X16)
          | ~ ndr1_0
          | c3_1(X16)
          | ~ c0_1(X16) ) )
    & ( ! [X27] :
          ( c3_1(X27)
          | ~ ndr1_0
          | c2_1(X27)
          | c0_1(X27) )
      | hskp2
      | ! [X28] :
          ( ~ ndr1_0
          | c1_1(X28)
          | c3_1(X28)
          | c2_1(X28) ) )
    & ( hskp7
      | ! [X42] :
          ( c0_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0
          | ~ c1_1(X42) )
      | hskp16 )
    & ( ! [X53] :
          ( ~ c3_1(X53)
          | c0_1(X53)
          | ~ c1_1(X53)
          | ~ ndr1_0 )
      | hskp0
      | ! [X52] :
          ( c1_1(X52)
          | ~ ndr1_0
          | c0_1(X52)
          | ~ c2_1(X52) ) )
    & ( ! [X33] :
          ( ~ c2_1(X33)
          | c1_1(X33)
          | ~ c0_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ ndr1_0
          | c1_1(X34)
          | c2_1(X34)
          | c3_1(X34) )
      | hskp17 )
    & ( ( c2_1(a1465)
        & ndr1_0
        & c3_1(a1465)
        & ~ c1_1(a1465) )
      | ~ hskp20 )
    & ( hskp24
      | hskp4
      | ! [X80] :
          ( ~ c0_1(X80)
          | c2_1(X80)
          | c3_1(X80)
          | ~ ndr1_0 ) )
    & ( ~ hskp22
      | ( ~ c0_1(a1468)
        & c1_1(a1468)
        & c3_1(a1468)
        & ndr1_0 ) )
    & ( ! [X94] :
          ( c3_1(X94)
          | ~ c1_1(X94)
          | c2_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c0_1(X95)
          | c2_1(X95)
          | c3_1(X95)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X92] :
          ( c1_1(X92)
          | ~ ndr1_0
          | c3_1(X92)
          | ~ c2_1(X92) )
      | hskp5
      | ! [X93] :
          ( c0_1(X93)
          | c1_1(X93)
          | ~ ndr1_0
          | ~ c3_1(X93) ) )
    & ( hskp9
      | hskp22
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c3_1(X98)
          | c1_1(X98)
          | c2_1(X98) ) )
    & ( hskp28
      | ! [X114] :
          ( ~ c3_1(X114)
          | ~ c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 )
      | ! [X113] :
          ( c2_1(X113)
          | ~ ndr1_0
          | ~ c1_1(X113)
          | ~ c0_1(X113) ) )
    & ( hskp12
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c0_1(X77)
          | c3_1(X77)
          | ~ c2_1(X77) )
      | hskp11 )
    & ( ! [X1] :
          ( ~ ndr1_0
          | c3_1(X1)
          | ~ c0_1(X1)
          | c1_1(X1) )
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c3_1(X2)
          | c0_1(X2)
          | ~ ndr1_0 )
      | hskp12 )
    & ( hskp3
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c3_1(X49)
          | ~ c1_1(X49)
          | c0_1(X49) )
      | ! [X48] :
          ( c1_1(X48)
          | c3_1(X48)
          | ~ ndr1_0
          | c0_1(X48) ) )
    & ( hskp30
      | hskp24 )
    & ( ( ndr1_0
        & c1_1(a1452)
        & ~ c3_1(a1452)
        & c0_1(a1452) )
      | ~ hskp15 )
    & ( ! [X30] :
          ( c3_1(X30)
          | ~ c1_1(X30)
          | ~ c0_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c0_1(X31)
          | ~ c2_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ ndr1_0
          | c1_1(X29)
          | c2_1(X29) ) )
    & ( ( c3_1(a1430)
        & ~ c0_1(a1430)
        & ndr1_0
        & ~ c2_1(a1430) )
      | ~ hskp2 )
    & ( ~ hskp28
      | ( c1_1(a1456)
        & c3_1(a1456)
        & ndr1_0
        & c0_1(a1456) ) )
    & ( hskp22
      | hskp3
      | hskp17 )
    & ( hskp21
      | ! [X51] :
          ( ~ c0_1(X51)
          | c3_1(X51)
          | ~ ndr1_0
          | ~ c2_1(X51) )
      | ! [X50] :
          ( ~ ndr1_0
          | c2_1(X50)
          | ~ c0_1(X50)
          | c1_1(X50) ) )
    & ( hskp23
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c1_1(X70)
          | c3_1(X70)
          | ~ c2_1(X70) )
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c1_1(X69)
          | ~ c0_1(X69)
          | ~ c2_1(X69) ) )
    & ( ( ~ c1_1(a1460)
        & ~ c0_1(a1460)
        & ~ c3_1(a1460)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ! [X105] :
          ( ~ ndr1_0
          | ~ c2_1(X105)
          | ~ c3_1(X105)
          | c1_1(X105) )
      | ! [X104] :
          ( ~ c0_1(X104)
          | ~ c1_1(X104)
          | c3_1(X104)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ( ~ c2_1(a1447)
        & ndr1_0
        & ~ c3_1(a1447)
        & ~ c0_1(a1447) )
      | ~ hskp11 )
    & ( ( c0_1(a1437)
        & ndr1_0
        & ~ c2_1(a1437)
        & ~ c1_1(a1437) )
      | ~ hskp6 )
    & ( ! [X83] :
          ( c3_1(X83)
          | ~ ndr1_0
          | c1_1(X83)
          | ~ c2_1(X83) )
      | ! [X84] :
          ( ~ ndr1_0
          | c0_1(X84)
          | ~ c3_1(X84)
          | c1_1(X84) )
      | ! [X85] :
          ( c2_1(X85)
          | c1_1(X85)
          | ~ ndr1_0
          | c3_1(X85) ) )
    & ( ! [X37] :
          ( ~ ndr1_0
          | c3_1(X37)
          | ~ c1_1(X37)
          | ~ c0_1(X37) )
      | hskp16
      | hskp14 )
    & ( ! [X45] :
          ( ~ c2_1(X45)
          | ~ ndr1_0
          | ~ c3_1(X45)
          | c1_1(X45) )
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c2_1(X43)
          | c1_1(X43)
          | c0_1(X43) )
      | ! [X44] :
          ( ~ c0_1(X44)
          | ~ c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 ) )
    & ( ( c0_1(a1428)
        & ndr1_0
        & c3_1(a1428)
        & c2_1(a1428) )
      | ~ hskp27 )
    & ( ! [X18] :
          ( c2_1(X18)
          | c3_1(X18)
          | ~ c1_1(X18)
          | ~ ndr1_0 )
      | hskp12
      | ! [X17] :
          ( ~ c2_1(X17)
          | ~ ndr1_0
          | c3_1(X17)
          | ~ c1_1(X17) ) )
    & ( ~ hskp3
      | ( c1_1(a1431)
        & ~ c2_1(a1431)
        & ~ c0_1(a1431)
        & ndr1_0 ) )
    & ( ! [X26] :
          ( ~ ndr1_0
          | ~ c0_1(X26)
          | ~ c2_1(X26)
          | c1_1(X26) )
      | ! [X25] :
          ( c2_1(X25)
          | ~ ndr1_0
          | c1_1(X25)
          | c0_1(X25) )
      | ! [X24] :
          ( ~ c0_1(X24)
          | c3_1(X24)
          | ~ ndr1_0
          | c1_1(X24) ) )
    & ( ! [X115] :
          ( ~ c3_1(X115)
          | c2_1(X115)
          | ~ ndr1_0
          | c1_1(X115) )
      | hskp6
      | ! [X116] :
          ( ~ c1_1(X116)
          | ~ c3_1(X116)
          | ~ c0_1(X116)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp0
      | hskp26 )
    & ( ~ hskp13
      | ( c1_1(a1449)
        & c2_1(a1449)
        & ~ c3_1(a1449)
        & ndr1_0 ) )
    & ( ! [X39] :
          ( c1_1(X39)
          | ~ ndr1_0
          | c2_1(X39)
          | c3_1(X39) )
      | hskp7
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c1_1(X38)
          | ~ c2_1(X38)
          | ~ c3_1(X38) ) )
    & ( hskp7
      | ! [X101] :
          ( ~ c2_1(X101)
          | ~ ndr1_0
          | c0_1(X101)
          | ~ c1_1(X101) )
      | ! [X100] :
          ( ~ c0_1(X100)
          | c3_1(X100)
          | ~ ndr1_0
          | c1_1(X100) ) )
    & ( ! [X47] :
          ( ~ c2_1(X47)
          | ~ c3_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 )
      | hskp23
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c0_1(X46)
          | c3_1(X46)
          | ~ c2_1(X46) ) )
    & ( hskp17
      | hskp25
      | hskp2 )
    & ( ( c0_1(a1435)
        & ~ c2_1(a1435)
        & ndr1_0
        & ~ c3_1(a1435) )
      | ~ hskp5 )
    & ( hskp18
      | ! [X68] :
          ( ~ c3_1(X68)
          | ~ ndr1_0
          | ~ c1_1(X68)
          | c0_1(X68) )
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c0_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67) ) )
    & ( ( ndr1_0
        & c2_1(a1517)
        & ~ c0_1(a1517)
        & ~ c3_1(a1517) )
      | ~ hskp26 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( ( ndr1_0
        & c2_1(a1517)
        & ~ c0_1(a1517)
        & ~ c3_1(a1517) )
      | ~ hskp26 )
    & ( ! [X75] :
          ( ~ c1_1(X75)
          | c0_1(X75)
          | c3_1(X75)
          | ~ ndr1_0 )
      | hskp12
      | ! [X76] :
          ( c3_1(X76)
          | c2_1(X76)
          | ~ c1_1(X76)
          | ~ ndr1_0 ) )
    & ( ~ hskp9
      | ( ~ c2_1(a1444)
        & ~ c3_1(a1444)
        & ndr1_0
        & ~ c1_1(a1444) ) )
    & ( ! [X85] :
          ( c3_1(X85)
          | c2_1(X85)
          | c1_1(X85)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c3_1(X84)
          | c1_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c3_1(X83)
          | ~ c2_1(X83)
          | c1_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp12
      | hskp1 )
    & ( hskp30
      | hskp24 )
    & ( ( ~ c2_1(a1447)
        & ndr1_0
        & ~ c3_1(a1447)
        & ~ c0_1(a1447) )
      | ~ hskp11 )
    & ( ! [X119] :
          ( ~ c1_1(X119)
          | c0_1(X119)
          | ~ c2_1(X119)
          | ~ ndr1_0 )
      | ! [X118] :
          ( c0_1(X118)
          | ~ c3_1(X118)
          | ~ c2_1(X118)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X86] :
          ( ~ c3_1(X86)
          | c0_1(X86)
          | c2_1(X86)
          | ~ ndr1_0 )
      | hskp9
      | ! [X87] :
          ( c3_1(X87)
          | c0_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X32] :
          ( c1_1(X32)
          | ~ c3_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0 )
      | hskp20
      | hskp11 )
    & ( ! [X108] :
          ( c0_1(X108)
          | ~ c2_1(X108)
          | c1_1(X108)
          | ~ ndr1_0 )
      | hskp0
      | hskp4 )
    & ( hskp3
      | hskp30
      | hskp8 )
    & ( ~ hskp24
      | ( c3_1(a1487)
        & ndr1_0
        & ~ c1_1(a1487)
        & ~ c2_1(a1487) ) )
    & ( hskp28
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c2_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c0_1(X10)
          | ~ c3_1(X10)
          | c1_1(X10)
          | ~ ndr1_0 ) )
    & ( ~ hskp3
      | ( c1_1(a1431)
        & ~ c2_1(a1431)
        & ~ c0_1(a1431)
        & ndr1_0 ) )
    & ( ! [X4] :
          ( c1_1(X4)
          | c3_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c1_1(X5)
          | c0_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c1_1(X3)
          | c2_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( ! [X47] :
          ( ~ c2_1(X47)
          | ~ c3_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c0_1(X46)
          | c3_1(X46)
          | ~ ndr1_0 )
      | hskp23 )
    & ( hskp17
      | hskp25
      | hskp2 )
    & ( ! [X65] :
          ( c1_1(X65)
          | c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c2_1(X64)
          | c1_1(X64)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c0_1(X66)
          | ~ c2_1(X66)
          | ~ c1_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp0
      | hskp26 )
    & ( hskp6
      | hskp7
      | ! [X97] :
          ( ~ c3_1(X97)
          | c0_1(X97)
          | c1_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X77] :
          ( c3_1(X77)
          | ~ c0_1(X77)
          | ~ c2_1(X77)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c2_1(X8)
          | c1_1(X8)
          | ~ ndr1_0 )
      | hskp0
      | ! [X7] :
          ( ~ c0_1(X7)
          | c3_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( ~ hskp13
      | ( c1_1(a1449)
        & c2_1(a1449)
        & ~ c3_1(a1449)
        & ndr1_0 ) )
    & ( hskp12
      | ! [X2] :
          ( ~ c3_1(X2)
          | c0_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c3_1(X1)
          | c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( ! [X120] :
          ( c2_1(X120)
          | ~ c3_1(X120)
          | c0_1(X120)
          | ~ ndr1_0 )
      | hskp5
      | hskp11 )
    & ( ! [X67] :
          ( ~ c2_1(X67)
          | ~ c0_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | hskp18
      | ! [X68] :
          ( ~ c1_1(X68)
          | ~ c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp5
      | ! [X23] :
          ( c3_1(X23)
          | c2_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 ) )
    & ( ~ hskp4
      | ( c3_1(a1434)
        & c1_1(a1434)
        & ndr1_0
        & ~ c2_1(a1434) ) )
    & ( ! [X18] :
          ( c3_1(X18)
          | ~ c1_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c1_1(X17)
          | ~ c2_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | hskp12 )
    & ( hskp7
      | hskp4
      | ! [X99] :
          ( ~ c0_1(X99)
          | c2_1(X99)
          | c3_1(X99)
          | ~ ndr1_0 ) )
    & ( ! [X79] :
          ( ~ c2_1(X79)
          | c0_1(X79)
          | ~ c1_1(X79)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c3_1(X78)
          | ~ c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X24] :
          ( ~ c0_1(X24)
          | c1_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c0_1(X26)
          | ~ c2_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c0_1(X25)
          | c1_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( ~ c0_1(X41)
          | ~ c1_1(X41)
          | c2_1(X41)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c2_1(X40)
          | ~ c3_1(X40)
          | c0_1(X40)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X36] :
          ( c3_1(X36)
          | c2_1(X36)
          | ~ c0_1(X36)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c0_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 )
      | hskp11 )
    & ( hskp7
      | ! [X42] :
          ( ~ c2_1(X42)
          | c0_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X43] :
          ( ~ c2_1(X43)
          | c1_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | c1_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c2_1(X44)
          | ~ c3_1(X44)
          | ~ c0_1(X44)
          | ~ ndr1_0 ) )
    & ( ( ~ c3_1(a1427)
        & c2_1(a1427)
        & ndr1_0
        & c0_1(a1427) )
      | ~ hskp0 )
    & ( ! [X103] :
          ( ~ c0_1(X103)
          | ~ c3_1(X103)
          | ~ c1_1(X103)
          | ~ ndr1_0 )
      | hskp13
      | ! [X102] :
          ( ~ c2_1(X102)
          | c3_1(X102)
          | c1_1(X102)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp3
      | hskp17 )
    & ( ( c1_1(a1507)
        & ndr1_0
        & c0_1(a1507)
        & c2_1(a1507) )
      | ~ hskp30 )
    & ( hskp2
      | ! [X54] :
          ( c2_1(X54)
          | c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c1_1(X21)
          | ~ c3_1(X21)
          | c0_1(X21)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X107] :
          ( ~ c1_1(X107)
          | c3_1(X107)
          | c2_1(X107)
          | ~ ndr1_0 )
      | hskp7
      | ! [X106] :
          ( c2_1(X106)
          | ~ c3_1(X106)
          | ~ c1_1(X106)
          | ~ ndr1_0 ) )
    & ( ! [X110] :
          ( c2_1(X110)
          | c1_1(X110)
          | ~ c0_1(X110)
          | ~ ndr1_0 )
      | hskp19
      | ! [X109] :
          ( ~ c2_1(X109)
          | c3_1(X109)
          | ~ c0_1(X109)
          | ~ ndr1_0 ) )
    & ( ! [X94] :
          ( c3_1(X94)
          | ~ c1_1(X94)
          | c2_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c0_1(X95)
          | c3_1(X95)
          | c2_1(X95)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X105] :
          ( ~ c2_1(X105)
          | c1_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 )
      | hskp8
      | ! [X104] :
          ( ~ c1_1(X104)
          | c3_1(X104)
          | ~ c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X37] :
          ( c3_1(X37)
          | ~ c1_1(X37)
          | ~ c0_1(X37)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X59] :
          ( ~ c3_1(X59)
          | ~ c0_1(X59)
          | c2_1(X59)
          | ~ ndr1_0 )
      | hskp22
      | ! [X58] :
          ( ~ c3_1(X58)
          | c2_1(X58)
          | c1_1(X58)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c1_1(a1452)
        & ~ c3_1(a1452)
        & c0_1(a1452) )
      | ~ hskp15 )
    & ( hskp19
      | hskp3
      | ! [X60] :
          ( ~ c1_1(X60)
          | c0_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 ) )
    & ( ( c0_1(a1437)
        & ndr1_0
        & ~ c2_1(a1437)
        & ~ c1_1(a1437) )
      | ~ hskp6 )
    & ( ! [X72] :
          ( ~ c2_1(X72)
          | c0_1(X72)
          | c1_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c1_1(X73)
          | ~ c3_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c0_1(X71)
          | c2_1(X71)
          | ~ ndr1_0 ) )
    & ( ~ hskp22
      | ( ~ c0_1(a1468)
        & c1_1(a1468)
        & c3_1(a1468)
        & ndr1_0 ) )
    & ( ! [X89] :
          ( ~ c0_1(X89)
          | c2_1(X89)
          | c1_1(X89)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c1_1(X88)
          | ~ c0_1(X88)
          | c3_1(X88)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ( ndr1_0
        & c1_1(a1458)
        & ~ c2_1(a1458)
        & c0_1(a1458) )
      | ~ hskp18 )
    & ( ~ hskp29
      | ( c1_1(a1483)
        & c2_1(a1483)
        & c3_1(a1483)
        & ndr1_0 ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ~ c0_1(a1454)
        & c1_1(a1454)
        & ~ c3_1(a1454) ) )
    & ( ( ~ c1_1(a1460)
        & ~ c0_1(a1460)
        & ~ c3_1(a1460)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ! [X0] :
          ( ~ c3_1(X0)
          | ~ c1_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 )
      | hskp25
      | hskp0 )
    & ( ! [X50] :
          ( c1_1(X50)
          | c2_1(X50)
          | ~ c0_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c0_1(X51)
          | c3_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ( c0_1(a1428)
        & ndr1_0
        & c3_1(a1428)
        & c2_1(a1428) )
      | ~ hskp27 )
    & ( hskp7
      | ! [X39] :
          ( c1_1(X39)
          | c2_1(X39)
          | c3_1(X39)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c2_1(X38)
          | ~ c3_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X90] :
          ( ~ c1_1(X90)
          | ~ c2_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c0_1(X91)
          | c1_1(X91)
          | c2_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( ~ c2_1(X69)
          | ~ c0_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | hskp23
      | ! [X70] :
          ( ~ c2_1(X70)
          | ~ c1_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 ) )
    & ( ~ hskp7
      | ( ~ c1_1(a1438)
        & c3_1(a1438)
        & ndr1_0
        & ~ c0_1(a1438) ) )
    & ( ~ hskp25
      | ( ~ c0_1(a1504)
        & c2_1(a1504)
        & c1_1(a1504)
        & ndr1_0 ) )
    & ( ! [X57] :
          ( ~ c2_1(X57)
          | c3_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c0_1(X56)
          | ~ c2_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c3_1(X55)
          | ~ c0_1(X55)
          | c2_1(X55)
          | ~ ndr1_0 ) )
    & ( ~ hskp12
      | ( c0_1(a1448)
        & c3_1(a1448)
        & ndr1_0
        & ~ c2_1(a1448) ) )
    & ( ( c2_1(a1451)
        & ~ c3_1(a1451)
        & ndr1_0
        & ~ c1_1(a1451) )
      | ~ hskp14 )
    & ( ( c0_1(a1435)
        & ~ c2_1(a1435)
        & ndr1_0
        & ~ c3_1(a1435) )
      | ~ hskp5 )
    & ( ! [X31] :
          ( ~ c2_1(X31)
          | ~ c3_1(X31)
          | ~ c0_1(X31)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c3_1(X30)
          | ~ c1_1(X30)
          | ~ c0_1(X30)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c1_1(X29)
          | c2_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X49] :
          ( ~ c1_1(X49)
          | ~ c3_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c1_1(X48)
          | c0_1(X48)
          | c3_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp14
      | hskp12 )
    & ( ! [X112] :
          ( ~ c1_1(X112)
          | ~ c3_1(X112)
          | c2_1(X112)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c2_1(X111)
          | c0_1(X111)
          | c3_1(X111)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ~ hskp23
      | ( ~ c1_1(a1477)
        & ndr1_0
        & ~ c0_1(a1477)
        & c2_1(a1477) ) )
    & ( ~ hskp17
      | ( ~ c1_1(a1457)
        & ~ c2_1(a1457)
        & ndr1_0
        & ~ c0_1(a1457) ) )
    & ( ! [X81] :
          ( c2_1(X81)
          | ~ c3_1(X81)
          | ~ c1_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c0_1(X82)
          | ~ c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp12 )
    & ( hskp9
      | ! [X98] :
          ( c1_1(X98)
          | c2_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ( c2_1(a1465)
        & ndr1_0
        & c3_1(a1465)
        & ~ c1_1(a1465) )
      | ~ hskp20 )
    & ( ! [X117] :
          ( ~ c0_1(X117)
          | ~ c2_1(X117)
          | c1_1(X117)
          | ~ ndr1_0 )
      | hskp11
      | hskp0 )
    & ( ! [X62] :
          ( ~ c1_1(X62)
          | ~ c3_1(X62)
          | ~ c0_1(X62)
          | ~ ndr1_0 )
      | hskp0
      | ! [X61] :
          ( ~ c1_1(X61)
          | c0_1(X61)
          | c2_1(X61)
          | ~ ndr1_0 ) )
    & ( ! [X93] :
          ( c0_1(X93)
          | c1_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c1_1(X92)
          | ~ c2_1(X92)
          | c3_1(X92)
          | ~ ndr1_0 )
      | hskp5 )
    & ( hskp17
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c1_1(X19)
          | c0_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X114] :
          ( ~ c1_1(X114)
          | ~ c3_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c0_1(X113)
          | ~ c1_1(X113)
          | c2_1(X113)
          | ~ ndr1_0 ) )
    & ( ! [X100] :
          ( c3_1(X100)
          | c1_1(X100)
          | ~ c0_1(X100)
          | ~ ndr1_0 )
      | hskp7
      | ! [X101] :
          ( c0_1(X101)
          | ~ c2_1(X101)
          | ~ c1_1(X101)
          | ~ ndr1_0 ) )
    & ( ~ hskp28
      | ( c1_1(a1456)
        & c3_1(a1456)
        & ndr1_0
        & c0_1(a1456) ) )
    & ( hskp22
      | hskp3
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0 ) )
    & ( ( c0_1(a1441)
        & c3_1(a1441)
        & ndr1_0
        & ~ c1_1(a1441) )
      | ~ hskp8 )
    & ( ! [X80] :
          ( c3_1(X80)
          | c2_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 )
      | hskp24
      | hskp4 )
    & ( ! [X115] :
          ( c2_1(X115)
          | ~ c3_1(X115)
          | c1_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( ~ c1_1(X116)
          | ~ c3_1(X116)
          | ~ c0_1(X116)
          | ~ ndr1_0 )
      | hskp6 )
    & ( hskp7
      | ! [X63] :
          ( c2_1(X63)
          | c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X15] :
          ( ~ c2_1(X15)
          | c1_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c3_1(X14)
          | c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c0_1(X13)
          | c1_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp1
      | ! [X6] :
          ( c3_1(X6)
          | ~ c1_1(X6)
          | c0_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X27] :
          ( c3_1(X27)
          | c2_1(X27)
          | c0_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c3_1(X28)
          | c1_1(X28)
          | c2_1(X28)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( ~ c2_1(X52)
          | c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c0_1(X53)
          | ~ c3_1(X53)
          | ~ c1_1(X53)
          | ~ ndr1_0 )
      | hskp0 )
    & ( hskp0
      | ! [X9] :
          ( c3_1(X9)
          | c2_1(X9)
          | ~ c1_1(X9)
          | ~ ndr1_0 )
      | hskp3 )
    & ( hskp17
      | ! [X34] :
          ( c1_1(X34)
          | c2_1(X34)
          | c3_1(X34)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c1_1(X33)
          | ~ c0_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp5
      | ! [X96] :
          ( ~ c3_1(X96)
          | ~ c0_1(X96)
          | c2_1(X96)
          | ~ ndr1_0 ) )
    & ( ( c0_1(a1445)
        & ndr1_0
        & ~ c1_1(a1445)
        & ~ c3_1(a1445) )
      | ~ hskp10 )
    & ( ! [X74] :
          ( ~ c3_1(X74)
          | ~ c2_1(X74)
          | ~ c1_1(X74)
          | ~ ndr1_0 )
      | hskp13
      | hskp25 )
    & ( ! [X12] :
          ( ~ c0_1(X12)
          | ~ c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | hskp9
      | hskp21 )
    & ( ( c2_1(a1429)
        & ndr1_0
        & c3_1(a1429)
        & ~ c0_1(a1429) )
      | ~ hskp1 )
    & ( hskp8
      | hskp14
      | hskp19 )
    & ( hskp15
      | hskp13
      | hskp27 )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a1466)
        & c0_1(a1466)
        & ~ c1_1(a1466) ) )
    & ( ( c3_1(a1430)
        & ~ c0_1(a1430)
        & ndr1_0
        & ~ c2_1(a1430) )
      | ~ hskp2 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( ( ndr1_0
        & c2_1(a1517)
        & ~ c0_1(a1517)
        & ~ c3_1(a1517) )
      | ~ hskp26 )
    & ( ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | c0_1(X75)
            | c3_1(X75) ) )
      | hskp12
      | ! [X76] :
          ( ndr1_0
         => ( c3_1(X76)
            | c2_1(X76)
            | ~ c1_1(X76) ) ) )
    & ( ~ hskp9
      | ( ~ c2_1(a1444)
        & ~ c3_1(a1444)
        & ndr1_0
        & ~ c1_1(a1444) ) )
    & ( ! [X85] :
          ( ndr1_0
         => ( c3_1(X85)
            | c2_1(X85)
            | c1_1(X85) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | c1_1(X84)
            | c0_1(X84) ) )
      | ! [X83] :
          ( ndr1_0
         => ( c3_1(X83)
            | ~ c2_1(X83)
            | c1_1(X83) ) ) )
    & ( hskp10
      | hskp12
      | hskp1 )
    & ( hskp30
      | hskp24 )
    & ( ( ~ c2_1(a1447)
        & ndr1_0
        & ~ c3_1(a1447)
        & ~ c0_1(a1447) )
      | ~ hskp11 )
    & ( ! [X119] :
          ( ndr1_0
         => ( ~ c1_1(X119)
            | c0_1(X119)
            | ~ c2_1(X119) ) )
      | ! [X118] :
          ( ndr1_0
         => ( c0_1(X118)
            | ~ c3_1(X118)
            | ~ c2_1(X118) ) )
      | hskp15 )
    & ( ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | c0_1(X86)
            | c2_1(X86) ) )
      | hskp9
      | ! [X87] :
          ( ndr1_0
         => ( c3_1(X87)
            | c0_1(X87)
            | ~ c2_1(X87) ) ) )
    & ( ! [X32] :
          ( ndr1_0
         => ( c1_1(X32)
            | ~ c3_1(X32)
            | ~ c2_1(X32) ) )
      | hskp20
      | hskp11 )
    & ( ! [X108] :
          ( ndr1_0
         => ( c0_1(X108)
            | ~ c2_1(X108)
            | c1_1(X108) ) )
      | hskp0
      | hskp4 )
    & ( hskp3
      | hskp30
      | hskp8 )
    & ( ~ hskp24
      | ( c3_1(a1487)
        & ndr1_0
        & ~ c1_1(a1487)
        & ~ c2_1(a1487) ) )
    & ( hskp28
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c2_1(X11)
            | ~ c1_1(X11) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c0_1(X10)
            | ~ c3_1(X10)
            | c1_1(X10) ) ) )
    & ( ~ hskp3
      | ( c1_1(a1431)
        & ~ c2_1(a1431)
        & ~ c0_1(a1431)
        & ndr1_0 ) )
    & ( ! [X4] :
          ( ndr1_0
         => ( c1_1(X4)
            | c3_1(X4)
            | c2_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c1_1(X5)
            | c0_1(X5)
            | c3_1(X5) ) )
      | ! [X3] :
          ( ndr1_0
         => ( ~ c1_1(X3)
            | c2_1(X3)
            | c3_1(X3) ) ) )
    & ( ! [X47] :
          ( ndr1_0
         => ( ~ c2_1(X47)
            | ~ c3_1(X47)
            | c1_1(X47) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c2_1(X46)
            | ~ c0_1(X46)
            | c3_1(X46) ) )
      | hskp23 )
    & ( hskp17
      | hskp25
      | hskp2 )
    & ( ! [X65] :
          ( ndr1_0
         => ( c1_1(X65)
            | c2_1(X65)
            | ~ c3_1(X65) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | ~ c2_1(X64)
            | c1_1(X64) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c0_1(X66)
            | ~ c2_1(X66)
            | ~ c1_1(X66) ) ) )
    & ( hskp29
      | hskp0
      | hskp26 )
    & ( hskp6
      | hskp7
      | ! [X97] :
          ( ndr1_0
         => ( ~ c3_1(X97)
            | c0_1(X97)
            | c1_1(X97) ) ) )
    & ( hskp11
      | ! [X77] :
          ( ndr1_0
         => ( c3_1(X77)
            | ~ c0_1(X77)
            | ~ c2_1(X77) ) )
      | hskp12 )
    & ( ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | c2_1(X8)
            | c1_1(X8) ) )
      | hskp0
      | ! [X7] :
          ( ndr1_0
         => ( ~ c0_1(X7)
            | c3_1(X7)
            | c2_1(X7) ) ) )
    & ( ~ hskp13
      | ( c1_1(a1449)
        & c2_1(a1449)
        & ~ c3_1(a1449)
        & ndr1_0 ) )
    & ( hskp12
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | c0_1(X2)
            | ~ c2_1(X2) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c3_1(X1)
            | c1_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( ! [X120] :
          ( ndr1_0
         => ( c2_1(X120)
            | ~ c3_1(X120)
            | c0_1(X120) ) )
      | hskp5
      | hskp11 )
    & ( ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | ~ c0_1(X67)
            | ~ c3_1(X67) ) )
      | hskp18
      | ! [X68] :
          ( ndr1_0
         => ( ~ c1_1(X68)
            | ~ c3_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp29
      | hskp5
      | ! [X23] :
          ( ndr1_0
         => ( c3_1(X23)
            | c2_1(X23)
            | ~ c0_1(X23) ) ) )
    & ( ~ hskp4
      | ( c3_1(a1434)
        & c1_1(a1434)
        & ndr1_0
        & ~ c2_1(a1434) ) )
    & ( ! [X18] :
          ( ndr1_0
         => ( c3_1(X18)
            | ~ c1_1(X18)
            | c2_1(X18) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c1_1(X17)
            | ~ c2_1(X17)
            | c3_1(X17) ) )
      | hskp12 )
    & ( hskp7
      | hskp4
      | ! [X99] :
          ( ndr1_0
         => ( ~ c0_1(X99)
            | c2_1(X99)
            | c3_1(X99) ) ) )
    & ( ! [X79] :
          ( ndr1_0
         => ( ~ c2_1(X79)
            | c0_1(X79)
            | ~ c1_1(X79) ) )
      | ! [X78] :
          ( ndr1_0
         => ( c3_1(X78)
            | ~ c2_1(X78)
            | c0_1(X78) ) )
      | hskp14 )
    & ( ! [X24] :
          ( ndr1_0
         => ( ~ c0_1(X24)
            | c1_1(X24)
            | c3_1(X24) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c0_1(X26)
            | ~ c2_1(X26)
            | c1_1(X26) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c1_1(X25)
            | c2_1(X25) ) ) )
    & ( ! [X41] :
          ( ndr1_0
         => ( ~ c0_1(X41)
            | ~ c1_1(X41)
            | c2_1(X41) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c2_1(X40)
            | ~ c3_1(X40)
            | c0_1(X40) ) )
      | hskp10 )
    & ( ! [X36] :
          ( ndr1_0
         => ( c3_1(X36)
            | c2_1(X36)
            | ~ c0_1(X36) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c0_1(X35)
            | ~ c2_1(X35) ) )
      | hskp11 )
    & ( hskp7
      | ! [X42] :
          ( ndr1_0
         => ( ~ c2_1(X42)
            | c0_1(X42)
            | ~ c1_1(X42) ) )
      | hskp16 )
    & ( ! [X43] :
          ( ndr1_0
         => ( ~ c2_1(X43)
            | c1_1(X43)
            | c0_1(X43) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | c1_1(X45)
            | ~ c2_1(X45) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c2_1(X44)
            | ~ c3_1(X44)
            | ~ c0_1(X44) ) ) )
    & ( ( ~ c3_1(a1427)
        & c2_1(a1427)
        & ndr1_0
        & c0_1(a1427) )
      | ~ hskp0 )
    & ( ! [X103] :
          ( ndr1_0
         => ( ~ c0_1(X103)
            | ~ c3_1(X103)
            | ~ c1_1(X103) ) )
      | hskp13
      | ! [X102] :
          ( ndr1_0
         => ( ~ c2_1(X102)
            | c3_1(X102)
            | c1_1(X102) ) ) )
    & ( hskp22
      | hskp3
      | hskp17 )
    & ( ( c1_1(a1507)
        & ndr1_0
        & c0_1(a1507)
        & c2_1(a1507) )
      | ~ hskp30 )
    & ( hskp2
      | ! [X54] :
          ( ndr1_0
         => ( c2_1(X54)
            | c1_1(X54)
            | c0_1(X54) ) )
      | hskp1 )
    & ( ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c0_1(X22)
            | c2_1(X22) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c1_1(X21)
            | ~ c3_1(X21)
            | c0_1(X21) ) )
      | hskp5 )
    & ( ! [X107] :
          ( ndr1_0
         => ( ~ c1_1(X107)
            | c3_1(X107)
            | c2_1(X107) ) )
      | hskp7
      | ! [X106] :
          ( ndr1_0
         => ( c2_1(X106)
            | ~ c3_1(X106)
            | ~ c1_1(X106) ) ) )
    & ( ! [X110] :
          ( ndr1_0
         => ( c2_1(X110)
            | c1_1(X110)
            | ~ c0_1(X110) ) )
      | hskp19
      | ! [X109] :
          ( ndr1_0
         => ( ~ c2_1(X109)
            | c3_1(X109)
            | ~ c0_1(X109) ) ) )
    & ( ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | ~ c1_1(X94)
            | c2_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( ~ c0_1(X95)
            | c3_1(X95)
            | c2_1(X95) ) )
      | hskp18 )
    & ( ! [X105] :
          ( ndr1_0
         => ( ~ c2_1(X105)
            | c1_1(X105)
            | ~ c3_1(X105) ) )
      | hskp8
      | ! [X104] :
          ( ndr1_0
         => ( ~ c1_1(X104)
            | c3_1(X104)
            | ~ c0_1(X104) ) ) )
    & ( hskp14
      | ! [X37] :
          ( ndr1_0
         => ( c3_1(X37)
            | ~ c1_1(X37)
            | ~ c0_1(X37) ) )
      | hskp16 )
    & ( ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c0_1(X59)
            | c2_1(X59) ) )
      | hskp22
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | c2_1(X58)
            | c1_1(X58) ) ) )
    & ( ( ndr1_0
        & c1_1(a1452)
        & ~ c3_1(a1452)
        & c0_1(a1452) )
      | ~ hskp15 )
    & ( hskp19
      | hskp3
      | ! [X60] :
          ( ndr1_0
         => ( ~ c1_1(X60)
            | c0_1(X60)
            | ~ c3_1(X60) ) ) )
    & ( ( c0_1(a1437)
        & ndr1_0
        & ~ c2_1(a1437)
        & ~ c1_1(a1437) )
      | ~ hskp6 )
    & ( ! [X72] :
          ( ndr1_0
         => ( ~ c2_1(X72)
            | c0_1(X72)
            | c1_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c1_1(X73)
            | ~ c3_1(X73)
            | c0_1(X73) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | ~ c0_1(X71)
            | c2_1(X71) ) ) )
    & ( ~ hskp22
      | ( ~ c0_1(a1468)
        & c1_1(a1468)
        & c3_1(a1468)
        & ndr1_0 ) )
    & ( ! [X89] :
          ( ndr1_0
         => ( ~ c0_1(X89)
            | c2_1(X89)
            | c1_1(X89) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c1_1(X88)
            | ~ c0_1(X88)
            | c3_1(X88) ) )
      | hskp20 )
    & ( ( ndr1_0
        & c1_1(a1458)
        & ~ c2_1(a1458)
        & c0_1(a1458) )
      | ~ hskp18 )
    & ( ~ hskp29
      | ( c1_1(a1483)
        & c2_1(a1483)
        & c3_1(a1483)
        & ndr1_0 ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ~ c0_1(a1454)
        & c1_1(a1454)
        & ~ c3_1(a1454) ) )
    & ( ( ~ c1_1(a1460)
        & ~ c0_1(a1460)
        & ~ c3_1(a1460)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c1_1(X0)
            | ~ c0_1(X0) ) )
      | hskp25
      | hskp0 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c1_1(X50)
            | c2_1(X50)
            | ~ c0_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c0_1(X51)
            | c3_1(X51)
            | ~ c2_1(X51) ) )
      | hskp21 )
    & ( ( c0_1(a1428)
        & ndr1_0
        & c3_1(a1428)
        & c2_1(a1428) )
      | ~ hskp27 )
    & ( hskp7
      | ! [X39] :
          ( ndr1_0
         => ( c1_1(X39)
            | c2_1(X39)
            | c3_1(X39) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c2_1(X38)
            | ~ c3_1(X38)
            | ~ c1_1(X38) ) ) )
    & ( hskp27
      | ! [X90] :
          ( ndr1_0
         => ( ~ c1_1(X90)
            | ~ c2_1(X90)
            | ~ c3_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( c0_1(X91)
            | c1_1(X91)
            | c2_1(X91) ) ) )
    & ( ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | ~ c0_1(X69)
            | ~ c1_1(X69) ) )
      | hskp23
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | ~ c1_1(X70)
            | c3_1(X70) ) ) )
    & ( ~ hskp7
      | ( ~ c1_1(a1438)
        & c3_1(a1438)
        & ndr1_0
        & ~ c0_1(a1438) ) )
    & ( ~ hskp25
      | ( ~ c0_1(a1504)
        & c2_1(a1504)
        & c1_1(a1504)
        & ndr1_0 ) )
    & ( ! [X57] :
          ( ndr1_0
         => ( ~ c2_1(X57)
            | c3_1(X57)
            | c1_1(X57) ) )
      | ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | ~ c2_1(X56)
            | ~ c1_1(X56) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c3_1(X55)
            | ~ c0_1(X55)
            | c2_1(X55) ) ) )
    & ( ~ hskp12
      | ( c0_1(a1448)
        & c3_1(a1448)
        & ndr1_0
        & ~ c2_1(a1448) ) )
    & ( ( c2_1(a1451)
        & ~ c3_1(a1451)
        & ndr1_0
        & ~ c1_1(a1451) )
      | ~ hskp14 )
    & ( ( c0_1(a1435)
        & ~ c2_1(a1435)
        & ndr1_0
        & ~ c3_1(a1435) )
      | ~ hskp5 )
    & ( ! [X31] :
          ( ndr1_0
         => ( ~ c2_1(X31)
            | ~ c3_1(X31)
            | ~ c0_1(X31) ) )
      | ! [X30] :
          ( ndr1_0
         => ( c3_1(X30)
            | ~ c1_1(X30)
            | ~ c0_1(X30) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c1_1(X29)
            | c2_1(X29)
            | ~ c3_1(X29) ) ) )
    & ( hskp3
      | ! [X49] :
          ( ndr1_0
         => ( ~ c1_1(X49)
            | ~ c3_1(X49)
            | c0_1(X49) ) )
      | ! [X48] :
          ( ndr1_0
         => ( c1_1(X48)
            | c0_1(X48)
            | c3_1(X48) ) ) )
    & ( hskp8
      | hskp14
      | hskp12 )
    & ( ! [X112] :
          ( ndr1_0
         => ( ~ c1_1(X112)
            | ~ c3_1(X112)
            | c2_1(X112) ) )
      | ! [X111] :
          ( ndr1_0
         => ( c2_1(X111)
            | c0_1(X111)
            | c3_1(X111) ) )
      | hskp0 )
    & ( ~ hskp23
      | ( ~ c1_1(a1477)
        & ndr1_0
        & ~ c0_1(a1477)
        & c2_1(a1477) ) )
    & ( ~ hskp17
      | ( ~ c1_1(a1457)
        & ~ c2_1(a1457)
        & ndr1_0
        & ~ c0_1(a1457) ) )
    & ( ! [X81] :
          ( ndr1_0
         => ( c2_1(X81)
            | ~ c3_1(X81)
            | ~ c1_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( c0_1(X82)
            | ~ c2_1(X82)
            | ~ c3_1(X82) ) )
      | hskp12 )
    & ( hskp9
      | ! [X98] :
          ( ndr1_0
         => ( c1_1(X98)
            | c2_1(X98)
            | ~ c3_1(X98) ) )
      | hskp22 )
    & ( ( c2_1(a1465)
        & ndr1_0
        & c3_1(a1465)
        & ~ c1_1(a1465) )
      | ~ hskp20 )
    & ( ! [X117] :
          ( ndr1_0
         => ( ~ c0_1(X117)
            | ~ c2_1(X117)
            | c1_1(X117) ) )
      | hskp11
      | hskp0 )
    & ( ! [X62] :
          ( ndr1_0
         => ( ~ c1_1(X62)
            | ~ c3_1(X62)
            | ~ c0_1(X62) ) )
      | hskp0
      | ! [X61] :
          ( ndr1_0
         => ( ~ c1_1(X61)
            | c0_1(X61)
            | c2_1(X61) ) ) )
    & ( ! [X93] :
          ( ndr1_0
         => ( c0_1(X93)
            | c1_1(X93)
            | ~ c3_1(X93) ) )
      | ! [X92] :
          ( ndr1_0
         => ( c1_1(X92)
            | ~ c2_1(X92)
            | c3_1(X92) ) )
      | hskp5 )
    & ( hskp17
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c0_1(X20)
            | c2_1(X20) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c1_1(X19)
            | c0_1(X19)
            | ~ c3_1(X19) ) ) )
    & ( hskp28
      | ! [X114] :
          ( ndr1_0
         => ( ~ c1_1(X114)
            | ~ c3_1(X114)
            | c0_1(X114) ) )
      | ! [X113] :
          ( ndr1_0
         => ( ~ c0_1(X113)
            | ~ c1_1(X113)
            | c2_1(X113) ) ) )
    & ( ! [X100] :
          ( ndr1_0
         => ( c3_1(X100)
            | c1_1(X100)
            | ~ c0_1(X100) ) )
      | hskp7
      | ! [X101] :
          ( ndr1_0
         => ( c0_1(X101)
            | ~ c2_1(X101)
            | ~ c1_1(X101) ) ) )
    & ( ~ hskp28
      | ( c1_1(a1456)
        & c3_1(a1456)
        & ndr1_0
        & c0_1(a1456) ) )
    & ( hskp22
      | hskp3
      | ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | c3_1(X16)
            | ~ c1_1(X16) ) ) )
    & ( ( c0_1(a1441)
        & c3_1(a1441)
        & ndr1_0
        & ~ c1_1(a1441) )
      | ~ hskp8 )
    & ( ! [X80] :
          ( ndr1_0
         => ( c3_1(X80)
            | c2_1(X80)
            | ~ c0_1(X80) ) )
      | hskp24
      | hskp4 )
    & ( ! [X115] :
          ( ndr1_0
         => ( c2_1(X115)
            | ~ c3_1(X115)
            | c1_1(X115) ) )
      | ! [X116] :
          ( ndr1_0
         => ( ~ c1_1(X116)
            | ~ c3_1(X116)
            | ~ c0_1(X116) ) )
      | hskp6 )
    & ( hskp7
      | ! [X63] :
          ( ndr1_0
         => ( c2_1(X63)
            | c3_1(X63)
            | c0_1(X63) ) )
      | hskp8 )
    & ( ! [X15] :
          ( ndr1_0
         => ( ~ c2_1(X15)
            | c1_1(X15)
            | c3_1(X15) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | c0_1(X14)
            | c2_1(X14) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c0_1(X13)
            | c1_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp13
      | hskp1
      | ! [X6] :
          ( ndr1_0
         => ( c3_1(X6)
            | ~ c1_1(X6)
            | c0_1(X6) ) ) )
    & ( hskp2
      | ! [X27] :
          ( ndr1_0
         => ( c3_1(X27)
            | c2_1(X27)
            | c0_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( c3_1(X28)
            | c1_1(X28)
            | c2_1(X28) ) ) )
    & ( ! [X52] :
          ( ndr1_0
         => ( ~ c2_1(X52)
            | c1_1(X52)
            | c0_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c0_1(X53)
            | ~ c3_1(X53)
            | ~ c1_1(X53) ) )
      | hskp0 )
    & ( hskp0
      | ! [X9] :
          ( ndr1_0
         => ( c3_1(X9)
            | c2_1(X9)
            | ~ c1_1(X9) ) )
      | hskp3 )
    & ( hskp17
      | ! [X34] :
          ( ndr1_0
         => ( c1_1(X34)
            | c2_1(X34)
            | c3_1(X34) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c1_1(X33)
            | ~ c0_1(X33)
            | ~ c2_1(X33) ) ) )
    & ( hskp17
      | hskp5
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | ~ c0_1(X96)
            | c2_1(X96) ) ) )
    & ( ( c0_1(a1445)
        & ndr1_0
        & ~ c1_1(a1445)
        & ~ c3_1(a1445) )
      | ~ hskp10 )
    & ( ! [X74] :
          ( ndr1_0
         => ( ~ c3_1(X74)
            | ~ c2_1(X74)
            | ~ c1_1(X74) ) )
      | hskp13
      | hskp25 )
    & ( ! [X12] :
          ( ndr1_0
         => ( ~ c0_1(X12)
            | ~ c1_1(X12)
            | ~ c2_1(X12) ) )
      | hskp9
      | hskp21 )
    & ( ( c2_1(a1429)
        & ndr1_0
        & c3_1(a1429)
        & ~ c0_1(a1429) )
      | ~ hskp1 )
    & ( hskp8
      | hskp14
      | hskp19 )
    & ( hskp15
      | hskp13
      | hskp27 )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a1466)
        & c0_1(a1466)
        & ~ c1_1(a1466) ) )
    & ( ( c3_1(a1430)
        & ~ c0_1(a1430)
        & ndr1_0
        & ~ c2_1(a1430) )
      | ~ hskp2 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( ( ndr1_0
            & c2_1(a1517)
            & ~ c0_1(a1517)
            & ~ c3_1(a1517) )
          | ~ hskp26 )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | c0_1(X75)
                | c3_1(X75) ) )
          | hskp12
          | ! [X76] :
              ( ndr1_0
             => ( c3_1(X76)
                | c2_1(X76)
                | ~ c1_1(X76) ) ) )
        & ( ~ hskp9
          | ( ~ c2_1(a1444)
            & ~ c3_1(a1444)
            & ndr1_0
            & ~ c1_1(a1444) ) )
        & ( ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | c2_1(X85)
                | c1_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | c1_1(X84)
                | c0_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c3_1(X83)
                | ~ c2_1(X83)
                | c1_1(X83) ) ) )
        & ( hskp10
          | hskp12
          | hskp1 )
        & ( hskp30
          | hskp24 )
        & ( ( ~ c2_1(a1447)
            & ndr1_0
            & ~ c3_1(a1447)
            & ~ c0_1(a1447) )
          | ~ hskp11 )
        & ( ! [X119] :
              ( ndr1_0
             => ( ~ c1_1(X119)
                | c0_1(X119)
                | ~ c2_1(X119) ) )
          | ! [X118] :
              ( ndr1_0
             => ( c0_1(X118)
                | ~ c3_1(X118)
                | ~ c2_1(X118) ) )
          | hskp15 )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | c0_1(X86)
                | c2_1(X86) ) )
          | hskp9
          | ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | c0_1(X87)
                | ~ c2_1(X87) ) ) )
        & ( ! [X32] :
              ( ndr1_0
             => ( c1_1(X32)
                | ~ c3_1(X32)
                | ~ c2_1(X32) ) )
          | hskp20
          | hskp11 )
        & ( ! [X108] :
              ( ndr1_0
             => ( c0_1(X108)
                | ~ c2_1(X108)
                | c1_1(X108) ) )
          | hskp0
          | hskp4 )
        & ( hskp3
          | hskp30
          | hskp8 )
        & ( ~ hskp24
          | ( c3_1(a1487)
            & ndr1_0
            & ~ c1_1(a1487)
            & ~ c2_1(a1487) ) )
        & ( hskp28
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c2_1(X11)
                | ~ c1_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c0_1(X10)
                | ~ c3_1(X10)
                | c1_1(X10) ) ) )
        & ( ~ hskp3
          | ( c1_1(a1431)
            & ~ c2_1(a1431)
            & ~ c0_1(a1431)
            & ndr1_0 ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( c1_1(X4)
                | c3_1(X4)
                | c2_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c1_1(X5)
                | c0_1(X5)
                | c3_1(X5) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c1_1(X3)
                | c2_1(X3)
                | c3_1(X3) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | ~ c3_1(X47)
                | c1_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | ~ c0_1(X46)
                | c3_1(X46) ) )
          | hskp23 )
        & ( hskp17
          | hskp25
          | hskp2 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | c2_1(X65)
                | ~ c3_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c2_1(X64)
                | c1_1(X64) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | ~ c2_1(X66)
                | ~ c1_1(X66) ) ) )
        & ( hskp29
          | hskp0
          | hskp26 )
        & ( hskp6
          | hskp7
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | c0_1(X97)
                | c1_1(X97) ) ) )
        & ( hskp11
          | ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | ~ c0_1(X77)
                | ~ c2_1(X77) ) )
          | hskp12 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c2_1(X8)
                | c1_1(X8) ) )
          | hskp0
          | ! [X7] :
              ( ndr1_0
             => ( ~ c0_1(X7)
                | c3_1(X7)
                | c2_1(X7) ) ) )
        & ( ~ hskp13
          | ( c1_1(a1449)
            & c2_1(a1449)
            & ~ c3_1(a1449)
            & ndr1_0 ) )
        & ( hskp12
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | c0_1(X2)
                | ~ c2_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c1_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( ! [X120] :
              ( ndr1_0
             => ( c2_1(X120)
                | ~ c3_1(X120)
                | c0_1(X120) ) )
          | hskp5
          | hskp11 )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c0_1(X67)
                | ~ c3_1(X67) ) )
          | hskp18
          | ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | ~ c3_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp29
          | hskp5
          | ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | c2_1(X23)
                | ~ c0_1(X23) ) ) )
        & ( ~ hskp4
          | ( c3_1(a1434)
            & c1_1(a1434)
            & ndr1_0
            & ~ c2_1(a1434) ) )
        & ( ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | ~ c1_1(X18)
                | c2_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | ~ c2_1(X17)
                | c3_1(X17) ) )
          | hskp12 )
        & ( hskp7
          | hskp4
          | ! [X99] :
              ( ndr1_0
             => ( ~ c0_1(X99)
                | c2_1(X99)
                | c3_1(X99) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | c0_1(X79)
                | ~ c1_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c3_1(X78)
                | ~ c2_1(X78)
                | c0_1(X78) ) )
          | hskp14 )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c0_1(X24)
                | c1_1(X24)
                | c3_1(X24) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c0_1(X26)
                | ~ c2_1(X26)
                | c1_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c1_1(X25)
                | c2_1(X25) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | ~ c1_1(X41)
                | c2_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c2_1(X40)
                | ~ c3_1(X40)
                | c0_1(X40) ) )
          | hskp10 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c3_1(X36)
                | c2_1(X36)
                | ~ c0_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c0_1(X35)
                | ~ c2_1(X35) ) )
          | hskp11 )
        & ( hskp7
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | c0_1(X42)
                | ~ c1_1(X42) ) )
          | hskp16 )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | c1_1(X43)
                | c0_1(X43) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | c1_1(X45)
                | ~ c2_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | ~ c3_1(X44)
                | ~ c0_1(X44) ) ) )
        & ( ( ~ c3_1(a1427)
            & c2_1(a1427)
            & ndr1_0
            & c0_1(a1427) )
          | ~ hskp0 )
        & ( ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | ~ c3_1(X103)
                | ~ c1_1(X103) ) )
          | hskp13
          | ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | c3_1(X102)
                | c1_1(X102) ) ) )
        & ( hskp22
          | hskp3
          | hskp17 )
        & ( ( c1_1(a1507)
            & ndr1_0
            & c0_1(a1507)
            & c2_1(a1507) )
          | ~ hskp30 )
        & ( hskp2
          | ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | c1_1(X54)
                | c0_1(X54) ) )
          | hskp1 )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c0_1(X22)
                | c2_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c1_1(X21)
                | ~ c3_1(X21)
                | c0_1(X21) ) )
          | hskp5 )
        & ( ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | c3_1(X107)
                | c2_1(X107) ) )
          | hskp7
          | ! [X106] :
              ( ndr1_0
             => ( c2_1(X106)
                | ~ c3_1(X106)
                | ~ c1_1(X106) ) ) )
        & ( ! [X110] :
              ( ndr1_0
             => ( c2_1(X110)
                | c1_1(X110)
                | ~ c0_1(X110) ) )
          | hskp19
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | c3_1(X109)
                | ~ c0_1(X109) ) ) )
        & ( ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | ~ c1_1(X94)
                | c2_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c0_1(X95)
                | c3_1(X95)
                | c2_1(X95) ) )
          | hskp18 )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c2_1(X105)
                | c1_1(X105)
                | ~ c3_1(X105) ) )
          | hskp8
          | ! [X104] :
              ( ndr1_0
             => ( ~ c1_1(X104)
                | c3_1(X104)
                | ~ c0_1(X104) ) ) )
        & ( hskp14
          | ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | ~ c1_1(X37)
                | ~ c0_1(X37) ) )
          | hskp16 )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c0_1(X59)
                | c2_1(X59) ) )
          | hskp22
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | c2_1(X58)
                | c1_1(X58) ) ) )
        & ( ( ndr1_0
            & c1_1(a1452)
            & ~ c3_1(a1452)
            & c0_1(a1452) )
          | ~ hskp15 )
        & ( hskp19
          | hskp3
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | c0_1(X60)
                | ~ c3_1(X60) ) ) )
        & ( ( c0_1(a1437)
            & ndr1_0
            & ~ c2_1(a1437)
            & ~ c1_1(a1437) )
          | ~ hskp6 )
        & ( ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | c0_1(X72)
                | c1_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | ~ c3_1(X73)
                | c0_1(X73) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c0_1(X71)
                | c2_1(X71) ) ) )
        & ( ~ hskp22
          | ( ~ c0_1(a1468)
            & c1_1(a1468)
            & c3_1(a1468)
            & ndr1_0 ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c2_1(X89)
                | c1_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | ~ c0_1(X88)
                | c3_1(X88) ) )
          | hskp20 )
        & ( ( ndr1_0
            & c1_1(a1458)
            & ~ c2_1(a1458)
            & c0_1(a1458) )
          | ~ hskp18 )
        & ( ~ hskp29
          | ( c1_1(a1483)
            & c2_1(a1483)
            & c3_1(a1483)
            & ndr1_0 ) )
        & ( ~ hskp16
          | ( ndr1_0
            & ~ c0_1(a1454)
            & c1_1(a1454)
            & ~ c3_1(a1454) ) )
        & ( ( ~ c1_1(a1460)
            & ~ c0_1(a1460)
            & ~ c3_1(a1460)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c1_1(X0)
                | ~ c0_1(X0) ) )
          | hskp25
          | hskp0 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c1_1(X50)
                | c2_1(X50)
                | ~ c0_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c0_1(X51)
                | c3_1(X51)
                | ~ c2_1(X51) ) )
          | hskp21 )
        & ( ( c0_1(a1428)
            & ndr1_0
            & c3_1(a1428)
            & c2_1(a1428) )
          | ~ hskp27 )
        & ( hskp7
          | ! [X39] :
              ( ndr1_0
             => ( c1_1(X39)
                | c2_1(X39)
                | c3_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | ~ c3_1(X38)
                | ~ c1_1(X38) ) ) )
        & ( hskp27
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | ~ c2_1(X90)
                | ~ c3_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c0_1(X91)
                | c1_1(X91)
                | c2_1(X91) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | ~ c0_1(X69)
                | ~ c1_1(X69) ) )
          | hskp23
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c1_1(X70)
                | c3_1(X70) ) ) )
        & ( ~ hskp7
          | ( ~ c1_1(a1438)
            & c3_1(a1438)
            & ndr1_0
            & ~ c0_1(a1438) ) )
        & ( ~ hskp25
          | ( ~ c0_1(a1504)
            & c2_1(a1504)
            & c1_1(a1504)
            & ndr1_0 ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | c3_1(X57)
                | c1_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c2_1(X56)
                | ~ c1_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c3_1(X55)
                | ~ c0_1(X55)
                | c2_1(X55) ) ) )
        & ( ~ hskp12
          | ( c0_1(a1448)
            & c3_1(a1448)
            & ndr1_0
            & ~ c2_1(a1448) ) )
        & ( ( c2_1(a1451)
            & ~ c3_1(a1451)
            & ndr1_0
            & ~ c1_1(a1451) )
          | ~ hskp14 )
        & ( ( c0_1(a1435)
            & ~ c2_1(a1435)
            & ndr1_0
            & ~ c3_1(a1435) )
          | ~ hskp5 )
        & ( ! [X31] :
              ( ndr1_0
             => ( ~ c2_1(X31)
                | ~ c3_1(X31)
                | ~ c0_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | ~ c1_1(X30)
                | ~ c0_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c1_1(X29)
                | c2_1(X29)
                | ~ c3_1(X29) ) ) )
        & ( hskp3
          | ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | ~ c3_1(X49)
                | c0_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c1_1(X48)
                | c0_1(X48)
                | c3_1(X48) ) ) )
        & ( hskp8
          | hskp14
          | hskp12 )
        & ( ! [X112] :
              ( ndr1_0
             => ( ~ c1_1(X112)
                | ~ c3_1(X112)
                | c2_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( c2_1(X111)
                | c0_1(X111)
                | c3_1(X111) ) )
          | hskp0 )
        & ( ~ hskp23
          | ( ~ c1_1(a1477)
            & ndr1_0
            & ~ c0_1(a1477)
            & c2_1(a1477) ) )
        & ( ~ hskp17
          | ( ~ c1_1(a1457)
            & ~ c2_1(a1457)
            & ndr1_0
            & ~ c0_1(a1457) ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | ~ c3_1(X81)
                | ~ c1_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c0_1(X82)
                | ~ c2_1(X82)
                | ~ c3_1(X82) ) )
          | hskp12 )
        & ( hskp9
          | ! [X98] :
              ( ndr1_0
             => ( c1_1(X98)
                | c2_1(X98)
                | ~ c3_1(X98) ) )
          | hskp22 )
        & ( ( c2_1(a1465)
            & ndr1_0
            & c3_1(a1465)
            & ~ c1_1(a1465) )
          | ~ hskp20 )
        & ( ! [X117] :
              ( ndr1_0
             => ( ~ c0_1(X117)
                | ~ c2_1(X117)
                | c1_1(X117) ) )
          | hskp11
          | hskp0 )
        & ( ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | ~ c3_1(X62)
                | ~ c0_1(X62) ) )
          | hskp0
          | ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | c0_1(X61)
                | c2_1(X61) ) ) )
        & ( ! [X93] :
              ( ndr1_0
             => ( c0_1(X93)
                | c1_1(X93)
                | ~ c3_1(X93) ) )
          | ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | ~ c2_1(X92)
                | c3_1(X92) ) )
          | hskp5 )
        & ( hskp17
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c0_1(X20)
                | c2_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c0_1(X19)
                | ~ c3_1(X19) ) ) )
        & ( hskp28
          | ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | ~ c3_1(X114)
                | c0_1(X114) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c0_1(X113)
                | ~ c1_1(X113)
                | c2_1(X113) ) ) )
        & ( ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | c1_1(X100)
                | ~ c0_1(X100) ) )
          | hskp7
          | ! [X101] :
              ( ndr1_0
             => ( c0_1(X101)
                | ~ c2_1(X101)
                | ~ c1_1(X101) ) ) )
        & ( ~ hskp28
          | ( c1_1(a1456)
            & c3_1(a1456)
            & ndr1_0
            & c0_1(a1456) ) )
        & ( hskp22
          | hskp3
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | ~ c1_1(X16) ) ) )
        & ( ( c0_1(a1441)
            & c3_1(a1441)
            & ndr1_0
            & ~ c1_1(a1441) )
          | ~ hskp8 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c3_1(X80)
                | c2_1(X80)
                | ~ c0_1(X80) ) )
          | hskp24
          | hskp4 )
        & ( ! [X115] :
              ( ndr1_0
             => ( c2_1(X115)
                | ~ c3_1(X115)
                | c1_1(X115) ) )
          | ! [X116] :
              ( ndr1_0
             => ( ~ c1_1(X116)
                | ~ c3_1(X116)
                | ~ c0_1(X116) ) )
          | hskp6 )
        & ( hskp7
          | ! [X63] :
              ( ndr1_0
             => ( c2_1(X63)
                | c3_1(X63)
                | c0_1(X63) ) )
          | hskp8 )
        & ( ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | c1_1(X15)
                | c3_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | c0_1(X14)
                | c2_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c0_1(X13)
                | c1_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp13
          | hskp1
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | ~ c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp2
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c3_1(X28)
                | c1_1(X28)
                | c2_1(X28) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | c1_1(X52)
                | c0_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | ~ c3_1(X53)
                | ~ c1_1(X53) ) )
          | hskp0 )
        & ( hskp0
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c2_1(X9)
                | ~ c1_1(X9) ) )
          | hskp3 )
        & ( hskp17
          | ! [X34] :
              ( ndr1_0
             => ( c1_1(X34)
                | c2_1(X34)
                | c3_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c1_1(X33)
                | ~ c0_1(X33)
                | ~ c2_1(X33) ) ) )
        & ( hskp17
          | hskp5
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c2_1(X96) ) ) )
        & ( ( c0_1(a1445)
            & ndr1_0
            & ~ c1_1(a1445)
            & ~ c3_1(a1445) )
          | ~ hskp10 )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c2_1(X74)
                | ~ c1_1(X74) ) )
          | hskp13
          | hskp25 )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c0_1(X12)
                | ~ c1_1(X12)
                | ~ c2_1(X12) ) )
          | hskp9
          | hskp21 )
        & ( ( c2_1(a1429)
            & ndr1_0
            & c3_1(a1429)
            & ~ c0_1(a1429) )
          | ~ hskp1 )
        & ( hskp8
          | hskp14
          | hskp19 )
        & ( hskp15
          | hskp13
          | hskp27 )
        & ( ~ hskp21
          | ( ndr1_0
            & c2_1(a1466)
            & c0_1(a1466)
            & ~ c1_1(a1466) ) )
        & ( ( c3_1(a1430)
            & ~ c0_1(a1430)
            & ndr1_0
            & ~ c2_1(a1430) )
          | ~ hskp2 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ! [X119] :
              ( ndr1_0
             => ( ~ c3_1(X119)
                | ~ c1_1(X119)
                | ~ c0_1(X119) ) )
          | hskp0
          | hskp25 )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | c1_1(X66)
                | c3_1(X66) ) )
          | hskp12
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c3_1(X65)
                | c0_1(X65) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | c3_1(X12)
                | ~ c1_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c2_1(X11)
                | c3_1(X11)
                | c1_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c3_1(X47)
                | ~ c1_1(X47) ) )
          | hskp1
          | hskp13 )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | ~ c0_1(X4)
                | c2_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c1_1(X3)
                | c0_1(X3)
                | c2_1(X3) ) ) )
        & ( hskp3
          | ! [X111] :
              ( ndr1_0
             => ( c2_1(X111)
                | ~ c1_1(X111)
                | c3_1(X111) ) )
          | hskp0 )
        & ( ( c0_1(a1441)
            & c3_1(a1441)
            & ndr1_0
            & ~ c1_1(a1441) )
          | ~ hskp8 )
        & ( ~ hskp24
          | ( c3_1(a1487)
            & ndr1_0
            & ~ c1_1(a1487)
            & ~ c2_1(a1487) ) )
        & ( ~ hskp28
          | ( c1_1(a1456)
            & c3_1(a1456)
            & ndr1_0
            & c0_1(a1456) ) )
        & ( hskp28
          | ! [X93] :
              ( ndr1_0
             => ( c1_1(X93)
                | ~ c0_1(X93)
                | ~ c3_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c2_1(X94)
                | ~ c1_1(X94) ) ) )
        & ( hskp21
          | ! [X118] :
              ( ndr1_0
             => ( ~ c0_1(X118)
                | ~ c2_1(X118)
                | ~ c1_1(X118) ) )
          | hskp9 )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c2_1(X39)
                | c0_1(X39)
                | ~ c3_1(X39) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | c3_1(X41)
                | c1_1(X41) ) ) )
        & ( ( ndr1_0
            & c1_1(a1452)
            & ~ c3_1(a1452)
            & c0_1(a1452) )
          | ~ hskp15 )
        & ( ~ hskp16
          | ( ndr1_0
            & ~ c0_1(a1454)
            & c1_1(a1454)
            & ~ c3_1(a1454) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c2_1(a1466)
            & c0_1(a1466)
            & ~ c1_1(a1466) ) )
        & ( hskp22
          | hskp3
          | hskp17 )
        & ( hskp22
          | hskp3
          | ! [X113] :
              ( ndr1_0
             => ( c3_1(X113)
                | ~ c1_1(X113)
                | ~ c0_1(X113) ) ) )
        & ( ! [X110] :
              ( ndr1_0
             => ( c3_1(X110)
                | ~ c2_1(X110)
                | ~ c1_1(X110) ) )
          | ! [X109] :
              ( ndr1_0
             => ( c2_1(X109)
                | c3_1(X109)
                | ~ c1_1(X109) ) )
          | hskp12 )
        & ( ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c0_1(X61)
                | c2_1(X61) ) )
          | hskp17 )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c0_1(X27)
                | c1_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c2_1(X28)
                | ~ c0_1(X28)
                | ~ c3_1(X28) ) )
          | hskp5 )
        & ( ( ~ c3_1(a1427)
            & c2_1(a1427)
            & ndr1_0
            & c0_1(a1427) )
          | ~ hskp0 )
        & ( ~ hskp12
          | ( c0_1(a1448)
            & c3_1(a1448)
            & ndr1_0
            & ~ c2_1(a1448) ) )
        & ( ~ hskp25
          | ( ~ c0_1(a1504)
            & c2_1(a1504)
            & c1_1(a1504)
            & ndr1_0 ) )
        & ( ~ hskp13
          | ( c1_1(a1449)
            & c2_1(a1449)
            & ~ c3_1(a1449)
            & ndr1_0 ) )
        & ( ~ hskp4
          | ( c3_1(a1434)
            & c1_1(a1434)
            & ndr1_0
            & ~ c2_1(a1434) ) )
        & ( hskp29
          | ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | c2_1(X104)
                | c3_1(X104) ) )
          | hskp5 )
        & ( ( c2_1(a1451)
            & ~ c3_1(a1451)
            & ndr1_0
            & ~ c1_1(a1451) )
          | ~ hskp14 )
        & ( ! [X1] :
              ( ndr1_0
             => ( ~ c0_1(X1)
                | c3_1(X1)
                | c1_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c1_1(X0)
                | c2_1(X0)
                | c0_1(X0) ) )
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c0_1(X2)
                | c1_1(X2) ) ) )
        & ( ( c0_1(a1437)
            & ndr1_0
            & ~ c2_1(a1437)
            & ~ c1_1(a1437) )
          | ~ hskp6 )
        & ( ( c0_1(a1445)
            & ndr1_0
            & ~ c1_1(a1445)
            & ~ c3_1(a1445) )
          | ~ hskp10 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c2_1(X30)
                | c0_1(X30)
                | c3_1(X30) ) )
          | hskp2
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c2_1(X31)
                | c1_1(X31) ) ) )
        & ( hskp29
          | hskp0
          | hskp26 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c2_1(X84)
                | ~ c3_1(X84)
                | c1_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c3_1(X85)
                | ~ c1_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c0_1(X86)
                | ~ c2_1(X86) ) ) )
        & ( ! [X99] :
              ( ndr1_0
             => ( ~ c2_1(X99)
                | ~ c3_1(X99)
                | c1_1(X99) ) )
          | hskp20
          | hskp11 )
        & ( ( c0_1(a1435)
            & ~ c2_1(a1435)
            & ndr1_0
            & ~ c3_1(a1435) )
          | ~ hskp5 )
        & ( hskp10
          | hskp12
          | hskp1 )
        & ( hskp17
          | ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | ~ c0_1(X70)
                | ~ c2_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c3_1(X69)
                | c1_1(X69)
                | c2_1(X69) ) ) )
        & ( ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | ~ c0_1(X103)
                | ~ c3_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c0_1(X102)
                | c2_1(X102)
                | c3_1(X102) ) )
          | hskp11 )
        & ( ! [X114] :
              ( ndr1_0
             => ( c3_1(X114)
                | ~ c1_1(X114)
                | ~ c0_1(X114) ) )
          | hskp14
          | hskp16 )
        & ( ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | ~ c3_1(X72)
                | ~ c2_1(X72) ) )
          | hskp7
          | ! [X71] :
              ( ndr1_0
             => ( c2_1(X71)
                | c3_1(X71)
                | c1_1(X71) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( c2_1(X42)
                | c0_1(X42)
                | ~ c3_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c0_1(X43)
                | ~ c1_1(X43)
                | c2_1(X43) ) )
          | hskp10 )
        & ( hskp16
          | hskp7
          | ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | ~ c1_1(X57)
                | ~ c2_1(X57) ) ) )
        & ( ! [X18] :
              ( ndr1_0
             => ( c1_1(X18)
                | ~ c2_1(X18)
                | c0_1(X18) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c2_1(X20)
                | ~ c0_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c3_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp15
          | hskp13
          | hskp27 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c3_1(X98)
                | ~ c0_1(X98)
                | ~ c2_1(X98) ) )
          | hskp23
          | ! [X97] :
              ( ndr1_0
             => ( c1_1(X97)
                | ~ c3_1(X97)
                | ~ c2_1(X97) ) ) )
        & ( ( c1_1(a1507)
            & ndr1_0
            & c0_1(a1507)
            & c2_1(a1507) )
          | ~ hskp30 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c3_1(X8)
                | c1_1(X8) ) )
          | hskp3
          | ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | ~ c3_1(X9)
                | ~ c1_1(X9) ) ) )
        & ( hskp21
          | ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | c2_1(X75)
                | ~ c0_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c3_1(X76)
                | ~ c0_1(X76)
                | ~ c2_1(X76) ) ) )
        & ( ~ hskp9
          | ( ~ c2_1(a1444)
            & ~ c3_1(a1444)
            & ndr1_0
            & ~ c1_1(a1444) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | ~ c2_1(X16) ) )
          | hskp0
          | ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | ~ c3_1(X17)
                | ~ c1_1(X17) ) ) )
        & ( ~ hskp3
          | ( c1_1(a1431)
            & ~ c2_1(a1431)
            & ~ c0_1(a1431)
            & ndr1_0 ) )
        & ( ( c0_1(a1428)
            & ndr1_0
            & c3_1(a1428)
            & c2_1(a1428) )
          | ~ hskp27 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | c0_1(X7)
                | c1_1(X7) ) )
          | hskp2
          | hskp1 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c3_1(X56)
                | ~ c0_1(X56)
                | c2_1(X56) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | ~ c2_1(X54)
                | ~ c1_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c1_1(X55)
                | c3_1(X55)
                | ~ c2_1(X55) ) ) )
        & ( ( ndr1_0
            & c1_1(a1458)
            & ~ c2_1(a1458)
            & c0_1(a1458) )
          | ~ hskp18 )
        & ( ~ hskp29
          | ( c1_1(a1483)
            & c2_1(a1483)
            & c3_1(a1483)
            & ndr1_0 ) )
        & ( ~ hskp23
          | ( ~ c1_1(a1477)
            & ndr1_0
            & ~ c0_1(a1477)
            & c2_1(a1477) ) )
        & ( ( ndr1_0
            & c2_1(a1517)
            & ~ c0_1(a1517)
            & ~ c3_1(a1517) )
          | ~ hskp26 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | c2_1(X82)
                | ~ c3_1(X82) ) )
          | hskp22
          | ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | ~ c0_1(X83)
                | ~ c3_1(X83) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | c0_1(X64)
                | ~ c1_1(X64) ) )
          | hskp19
          | hskp3 )
        & ( ( c2_1(a1465)
            & ndr1_0
            & c3_1(a1465)
            & ~ c1_1(a1465) )
          | ~ hskp20 )
        & ( hskp0
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c0_1(X35)
                | c2_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c0_1(X36)
                | ~ c3_1(X36)
                | ~ c1_1(X36) ) ) )
        & ( ~ hskp17
          | ( ~ c1_1(a1457)
            & ~ c2_1(a1457)
            & ndr1_0
            & ~ c0_1(a1457) ) )
        & ( hskp8
          | hskp14
          | hskp19 )
        & ( hskp17
          | hskp25
          | hskp2 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c2_1(X34)
                | c0_1(X34)
                | c3_1(X34) ) )
          | hskp8
          | hskp7 )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c1_1(X80)
                | ~ c2_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | c2_1(X79)
                | c1_1(X79) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | ~ c1_1(X81)
                | ~ c0_1(X81) ) ) )
        & ( hskp18
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | ~ c0_1(X63)
                | ~ c3_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | c0_1(X62)
                | ~ c1_1(X62) ) ) )
        & ( ! [X117] :
              ( ndr1_0
             => ( ~ c0_1(X117)
                | ~ c2_1(X117)
                | ~ c1_1(X117) ) )
          | hskp23
          | ! [X116] :
              ( ndr1_0
             => ( ~ c1_1(X116)
                | c3_1(X116)
                | ~ c2_1(X116) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | c2_1(X15)
                | ~ c3_1(X15) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c1_1(X13)
                | c0_1(X13)
                | ~ c2_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | ~ c3_1(X14)
                | ~ c1_1(X14) ) ) )
        & ( ! [X120] :
              ( ndr1_0
             => ( ~ c3_1(X120)
                | ~ c1_1(X120)
                | ~ c2_1(X120) ) )
          | hskp13
          | hskp25 )
        & ( ~ hskp7
          | ( ~ c1_1(a1438)
            & c3_1(a1438)
            & ndr1_0
            & ~ c0_1(a1438) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | ~ c1_1(X45)
                | c3_1(X45) ) )
          | hskp12
          | ! [X46] :
              ( ndr1_0
             => ( c3_1(X46)
                | c2_1(X46)
                | ~ c1_1(X46) ) ) )
        & ( hskp30
          | hskp24 )
        & ( hskp11
          | hskp12
          | ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | c3_1(X115)
                | ~ c0_1(X115) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c0_1(X48)
                | c3_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | c0_1(X49)
                | ~ c2_1(X49) ) )
          | hskp14 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c2_1(X106)
                | ~ c0_1(X106)
                | c3_1(X106) ) )
          | hskp4
          | hskp24 )
        & ( ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c1_1(X68)
                | c2_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c0_1(X67)
                | ~ c3_1(X67)
                | ~ c2_1(X67) ) )
          | hskp12 )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | c3_1(X24)
                | c1_1(X24) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c1_1(X22)
                | c0_1(X22)
                | ~ c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c1_1(X23)
                | c2_1(X23)
                | c3_1(X23) ) ) )
        & ( hskp8
          | hskp14
          | hskp12 )
        & ( ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c0_1(X37)
                | c2_1(X37) ) )
          | hskp9
          | ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c3_1(X38)
                | ~ c2_1(X38) ) ) )
        & ( hskp20
          | ! [X74] :
              ( ndr1_0
             => ( c3_1(X74)
                | ~ c0_1(X74)
                | ~ c1_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | ~ c0_1(X73)
                | c1_1(X73) ) ) )
        & ( ~ hskp22
          | ( ~ c0_1(a1468)
            & c1_1(a1468)
            & c3_1(a1468)
            & ndr1_0 ) )
        & ( hskp27
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c1_1(X6)
                | ~ c3_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c1_1(X5)
                | c0_1(X5)
                | c2_1(X5) ) ) )
        & ( ( ~ c1_1(a1460)
            & ~ c0_1(a1460)
            & ~ c3_1(a1460)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( c2_1(a1429)
            & ndr1_0
            & c3_1(a1429)
            & ~ c0_1(a1429) )
          | ~ hskp1 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c3_1(X26)
                | c1_1(X26)
                | ~ c2_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c1_1(X25)
                | ~ c3_1(X25) ) )
          | hskp5 )
        & ( hskp18
          | ! [X101] :
              ( ndr1_0
             => ( c2_1(X101)
                | c3_1(X101)
                | ~ c1_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | c2_1(X100)
                | ~ c0_1(X100) ) ) )
        & ( ! [X112] :
              ( ndr1_0
             => ( ~ c0_1(X112)
                | ~ c3_1(X112)
                | c2_1(X112) ) )
          | hskp5
          | hskp17 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c1_1(X29)
                | ~ c3_1(X29)
                | c0_1(X29) ) )
          | hskp6
          | hskp7 )
        & ( hskp9
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | c2_1(X89)
                | c1_1(X89) ) )
          | hskp22 )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | c3_1(X105)
                | c2_1(X105) ) )
          | hskp7
          | hskp4 )
        & ( hskp7
          | ! [X53] :
              ( ndr1_0
             => ( c3_1(X53)
                | c1_1(X53)
                | ~ c0_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | ~ c1_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp13
          | ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | ~ c2_1(X90)
                | c3_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c1_1(X91)
                | ~ c0_1(X91) ) ) )
        & ( ( ~ c2_1(a1447)
            & ndr1_0
            & ~ c3_1(a1447)
            & ~ c0_1(a1447) )
          | ~ hskp11 )
        & ( hskp8
          | ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | ~ c1_1(X96)
                | c3_1(X96) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c1_1(X95)
                | ~ c3_1(X95)
                | ~ c2_1(X95) ) ) )
        & ( hskp7
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | c2_1(X108)
                | ~ c1_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | c3_1(X107)
                | c2_1(X107) ) ) )
        & ( hskp3
          | hskp30
          | hskp8 )
        & ( hskp4
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) )
          | hskp0 )
        & ( hskp19
          | ! [X78] :
              ( ndr1_0
             => ( c3_1(X78)
                | ~ c0_1(X78)
                | ~ c2_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | ~ c0_1(X77)
                | c2_1(X77) ) ) )
        & ( hskp0
          | ! [X32] :
              ( ndr1_0
             => ( c3_1(X32)
                | c0_1(X32)
                | c2_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c2_1(X33)
                | ~ c3_1(X33) ) ) )
        & ( ( c3_1(a1430)
            & ~ c0_1(a1430)
            & ndr1_0
            & ~ c2_1(a1430) )
          | ~ hskp2 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c2_1(X59)
                | ~ c0_1(X59)
                | ~ c1_1(X59) ) )
          | hskp28
          | ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c3_1(X58)
                | ~ c1_1(X58) ) ) )
        & ( ! [X87] :
              ( ndr1_0
             => ( c2_1(X87)
                | ~ c3_1(X87)
                | c1_1(X87) ) )
          | hskp6
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | ~ c3_1(X88)
                | ~ c0_1(X88) ) ) )
        & ( hskp0
          | hskp11
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | c1_1(X92)
                | ~ c2_1(X92) ) ) )
        & ( ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c3_1(X51)
                | c0_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) )
          | hskp15 )
        & ( hskp5
          | hskp11
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | c0_1(X44)
                | c2_1(X44) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( ! [X119] :
            ( ndr1_0
           => ( ~ c3_1(X119)
              | ~ c1_1(X119)
              | ~ c0_1(X119) ) )
        | hskp0
        | hskp25 )
      & ( ! [X66] :
            ( ndr1_0
           => ( ~ c0_1(X66)
              | c1_1(X66)
              | c3_1(X66) ) )
        | hskp12
        | ! [X65] :
            ( ndr1_0
           => ( ~ c2_1(X65)
              | ~ c3_1(X65)
              | c0_1(X65) ) ) )
      & ( ! [X12] :
            ( ndr1_0
           => ( c2_1(X12)
              | c3_1(X12)
              | ~ c1_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c2_1(X11)
              | c3_1(X11)
              | c1_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c3_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | c3_1(X47)
              | ~ c1_1(X47) ) )
        | hskp1
        | hskp13 )
      & ( hskp0
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | ~ c0_1(X4)
              | c2_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c1_1(X3)
              | c0_1(X3)
              | c2_1(X3) ) ) )
      & ( hskp3
        | ! [X111] :
            ( ndr1_0
           => ( c2_1(X111)
              | ~ c1_1(X111)
              | c3_1(X111) ) )
        | hskp0 )
      & ( ( c0_1(a1441)
          & c3_1(a1441)
          & ndr1_0
          & ~ c1_1(a1441) )
        | ~ hskp8 )
      & ( ~ hskp24
        | ( c3_1(a1487)
          & ndr1_0
          & ~ c1_1(a1487)
          & ~ c2_1(a1487) ) )
      & ( ~ hskp28
        | ( c1_1(a1456)
          & c3_1(a1456)
          & ndr1_0
          & c0_1(a1456) ) )
      & ( hskp28
        | ! [X93] :
            ( ndr1_0
           => ( c1_1(X93)
              | ~ c0_1(X93)
              | ~ c3_1(X93) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c2_1(X94)
              | ~ c1_1(X94) ) ) )
      & ( hskp21
        | ! [X118] :
            ( ndr1_0
           => ( ~ c0_1(X118)
              | ~ c2_1(X118)
              | ~ c1_1(X118) ) )
        | hskp9 )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c0_1(X40)
              | c2_1(X40)
              | c1_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c2_1(X39)
              | c0_1(X39)
              | ~ c3_1(X39) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c2_1(X41)
              | c3_1(X41)
              | c1_1(X41) ) ) )
      & ( ( ndr1_0
          & c1_1(a1452)
          & ~ c3_1(a1452)
          & c0_1(a1452) )
        | ~ hskp15 )
      & ( ~ hskp16
        | ( ndr1_0
          & ~ c0_1(a1454)
          & c1_1(a1454)
          & ~ c3_1(a1454) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c2_1(a1466)
          & c0_1(a1466)
          & ~ c1_1(a1466) ) )
      & ( hskp22
        | hskp3
        | hskp17 )
      & ( hskp22
        | hskp3
        | ! [X113] :
            ( ndr1_0
           => ( c3_1(X113)
              | ~ c1_1(X113)
              | ~ c0_1(X113) ) ) )
      & ( ! [X110] :
            ( ndr1_0
           => ( c3_1(X110)
              | ~ c2_1(X110)
              | ~ c1_1(X110) ) )
        | ! [X109] :
            ( ndr1_0
           => ( c2_1(X109)
              | c3_1(X109)
              | ~ c1_1(X109) ) )
        | hskp12 )
      & ( ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | ~ c1_1(X60)
              | c0_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c0_1(X61)
              | c2_1(X61) ) )
        | hskp17 )
      & ( ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | c0_1(X27)
              | c1_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c2_1(X28)
              | ~ c0_1(X28)
              | ~ c3_1(X28) ) )
        | hskp5 )
      & ( ( ~ c3_1(a1427)
          & c2_1(a1427)
          & ndr1_0
          & c0_1(a1427) )
        | ~ hskp0 )
      & ( ~ hskp12
        | ( c0_1(a1448)
          & c3_1(a1448)
          & ndr1_0
          & ~ c2_1(a1448) ) )
      & ( ~ hskp25
        | ( ~ c0_1(a1504)
          & c2_1(a1504)
          & c1_1(a1504)
          & ndr1_0 ) )
      & ( ~ hskp13
        | ( c1_1(a1449)
          & c2_1(a1449)
          & ~ c3_1(a1449)
          & ndr1_0 ) )
      & ( ~ hskp4
        | ( c3_1(a1434)
          & c1_1(a1434)
          & ndr1_0
          & ~ c2_1(a1434) ) )
      & ( hskp29
        | ! [X104] :
            ( ndr1_0
           => ( ~ c0_1(X104)
              | c2_1(X104)
              | c3_1(X104) ) )
        | hskp5 )
      & ( ( c2_1(a1451)
          & ~ c3_1(a1451)
          & ndr1_0
          & ~ c1_1(a1451) )
        | ~ hskp14 )
      & ( ! [X1] :
            ( ndr1_0
           => ( ~ c0_1(X1)
              | c3_1(X1)
              | c1_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c1_1(X0)
              | c2_1(X0)
              | c0_1(X0) ) )
        | ! [X2] :
            ( ndr1_0
           => ( ~ c2_1(X2)
              | ~ c0_1(X2)
              | c1_1(X2) ) ) )
      & ( ( c0_1(a1437)
          & ndr1_0
          & ~ c2_1(a1437)
          & ~ c1_1(a1437) )
        | ~ hskp6 )
      & ( ( c0_1(a1445)
          & ndr1_0
          & ~ c1_1(a1445)
          & ~ c3_1(a1445) )
        | ~ hskp10 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c2_1(X30)
              | c0_1(X30)
              | c3_1(X30) ) )
        | hskp2
        | ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | c2_1(X31)
              | c1_1(X31) ) ) )
      & ( hskp29
        | hskp0
        | hskp26 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c2_1(X84)
              | ~ c3_1(X84)
              | c1_1(X84) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | c3_1(X85)
              | ~ c1_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c0_1(X86)
              | ~ c2_1(X86) ) ) )
      & ( ! [X99] :
            ( ndr1_0
           => ( ~ c2_1(X99)
              | ~ c3_1(X99)
              | c1_1(X99) ) )
        | hskp20
        | hskp11 )
      & ( ( c0_1(a1435)
          & ~ c2_1(a1435)
          & ndr1_0
          & ~ c3_1(a1435) )
        | ~ hskp5 )
      & ( hskp10
        | hskp12
        | hskp1 )
      & ( hskp17
        | ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | ~ c0_1(X70)
              | ~ c2_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( c3_1(X69)
              | c1_1(X69)
              | c2_1(X69) ) ) )
      & ( ! [X103] :
            ( ndr1_0
           => ( ~ c2_1(X103)
              | ~ c0_1(X103)
              | ~ c3_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c0_1(X102)
              | c2_1(X102)
              | c3_1(X102) ) )
        | hskp11 )
      & ( ! [X114] :
            ( ndr1_0
           => ( c3_1(X114)
              | ~ c1_1(X114)
              | ~ c0_1(X114) ) )
        | hskp14
        | hskp16 )
      & ( ! [X72] :
            ( ndr1_0
           => ( ~ c1_1(X72)
              | ~ c3_1(X72)
              | ~ c2_1(X72) ) )
        | hskp7
        | ! [X71] :
            ( ndr1_0
           => ( c2_1(X71)
              | c3_1(X71)
              | c1_1(X71) ) ) )
      & ( ! [X42] :
            ( ndr1_0
           => ( c2_1(X42)
              | c0_1(X42)
              | ~ c3_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c0_1(X43)
              | ~ c1_1(X43)
              | c2_1(X43) ) )
        | hskp10 )
      & ( hskp16
        | hskp7
        | ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | ~ c1_1(X57)
              | ~ c2_1(X57) ) ) )
      & ( ! [X18] :
            ( ndr1_0
           => ( c1_1(X18)
              | ~ c2_1(X18)
              | c0_1(X18) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | ~ c2_1(X20)
              | ~ c0_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | ~ c3_1(X19)
              | c1_1(X19) ) ) )
      & ( hskp15
        | hskp13
        | hskp27 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c3_1(X98)
              | ~ c0_1(X98)
              | ~ c2_1(X98) ) )
        | hskp23
        | ! [X97] :
            ( ndr1_0
           => ( c1_1(X97)
              | ~ c3_1(X97)
              | ~ c2_1(X97) ) ) )
      & ( ( c1_1(a1507)
          & ndr1_0
          & c0_1(a1507)
          & c2_1(a1507) )
        | ~ hskp30 )
      & ( ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c3_1(X8)
              | c1_1(X8) ) )
        | hskp3
        | ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | ~ c3_1(X9)
              | ~ c1_1(X9) ) ) )
      & ( hskp21
        | ! [X75] :
            ( ndr1_0
           => ( c1_1(X75)
              | c2_1(X75)
              | ~ c0_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( c3_1(X76)
              | ~ c0_1(X76)
              | ~ c2_1(X76) ) ) )
      & ( ~ hskp9
        | ( ~ c2_1(a1444)
          & ~ c3_1(a1444)
          & ndr1_0
          & ~ c1_1(a1444) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | ~ c2_1(X16) ) )
        | hskp0
        | ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | ~ c3_1(X17)
              | ~ c1_1(X17) ) ) )
      & ( ~ hskp3
        | ( c1_1(a1431)
          & ~ c2_1(a1431)
          & ~ c0_1(a1431)
          & ndr1_0 ) )
      & ( ( c0_1(a1428)
          & ndr1_0
          & c3_1(a1428)
          & c2_1(a1428) )
        | ~ hskp27 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c2_1(X7)
              | c0_1(X7)
              | c1_1(X7) ) )
        | hskp2
        | hskp1 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c3_1(X56)
              | ~ c0_1(X56)
              | c2_1(X56) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | ~ c2_1(X54)
              | ~ c1_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c1_1(X55)
              | c3_1(X55)
              | ~ c2_1(X55) ) ) )
      & ( ( ndr1_0
          & c1_1(a1458)
          & ~ c2_1(a1458)
          & c0_1(a1458) )
        | ~ hskp18 )
      & ( ~ hskp29
        | ( c1_1(a1483)
          & c2_1(a1483)
          & c3_1(a1483)
          & ndr1_0 ) )
      & ( ~ hskp23
        | ( ~ c1_1(a1477)
          & ndr1_0
          & ~ c0_1(a1477)
          & c2_1(a1477) ) )
      & ( ( ndr1_0
          & c2_1(a1517)
          & ~ c0_1(a1517)
          & ~ c3_1(a1517) )
        | ~ hskp26 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | c2_1(X82)
              | ~ c3_1(X82) ) )
        | hskp22
        | ! [X83] :
            ( ndr1_0
           => ( c2_1(X83)
              | ~ c0_1(X83)
              | ~ c3_1(X83) ) ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | c0_1(X64)
              | ~ c1_1(X64) ) )
        | hskp19
        | hskp3 )
      & ( ( c2_1(a1465)
          & ndr1_0
          & c3_1(a1465)
          & ~ c1_1(a1465) )
        | ~ hskp20 )
      & ( hskp0
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | c0_1(X35)
              | c2_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c0_1(X36)
              | ~ c3_1(X36)
              | ~ c1_1(X36) ) ) )
      & ( ~ hskp17
        | ( ~ c1_1(a1457)
          & ~ c2_1(a1457)
          & ndr1_0
          & ~ c0_1(a1457) ) )
      & ( hskp8
        | hskp14
        | hskp19 )
      & ( hskp17
        | hskp25
        | hskp2 )
      & ( ! [X34] :
            ( ndr1_0
           => ( c2_1(X34)
              | c0_1(X34)
              | c3_1(X34) ) )
        | hskp8
        | hskp7 )
      & ( ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | c1_1(X80)
              | ~ c2_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | c2_1(X79)
              | c1_1(X79) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c2_1(X81)
              | ~ c1_1(X81)
              | ~ c0_1(X81) ) ) )
      & ( hskp18
        | ! [X63] :
            ( ndr1_0
           => ( ~ c2_1(X63)
              | ~ c0_1(X63)
              | ~ c3_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | c0_1(X62)
              | ~ c1_1(X62) ) ) )
      & ( ! [X117] :
            ( ndr1_0
           => ( ~ c0_1(X117)
              | ~ c2_1(X117)
              | ~ c1_1(X117) ) )
        | hskp23
        | ! [X116] :
            ( ndr1_0
           => ( ~ c1_1(X116)
              | c3_1(X116)
              | ~ c2_1(X116) ) ) )
      & ( ! [X15] :
            ( ndr1_0
           => ( ~ c0_1(X15)
              | c2_1(X15)
              | ~ c3_1(X15) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c1_1(X13)
              | c0_1(X13)
              | ~ c2_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | ~ c3_1(X14)
              | ~ c1_1(X14) ) ) )
      & ( ! [X120] :
            ( ndr1_0
           => ( ~ c3_1(X120)
              | ~ c1_1(X120)
              | ~ c2_1(X120) ) )
        | hskp13
        | hskp25 )
      & ( ~ hskp7
        | ( ~ c1_1(a1438)
          & c3_1(a1438)
          & ndr1_0
          & ~ c0_1(a1438) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | ~ c1_1(X45)
              | c3_1(X45) ) )
        | hskp12
        | ! [X46] :
            ( ndr1_0
           => ( c3_1(X46)
              | c2_1(X46)
              | ~ c1_1(X46) ) ) )
      & ( hskp30
        | hskp24 )
      & ( hskp11
        | hskp12
        | ! [X115] :
            ( ndr1_0
           => ( ~ c2_1(X115)
              | c3_1(X115)
              | ~ c0_1(X115) ) ) )
      & ( ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | c0_1(X48)
              | c3_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c1_1(X49)
              | c0_1(X49)
              | ~ c2_1(X49) ) )
        | hskp14 )
      & ( ! [X106] :
            ( ndr1_0
           => ( c2_1(X106)
              | ~ c0_1(X106)
              | c3_1(X106) ) )
        | hskp4
        | hskp24 )
      & ( ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c1_1(X68)
              | c2_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c0_1(X67)
              | ~ c3_1(X67)
              | ~ c2_1(X67) ) )
        | hskp12 )
      & ( ! [X24] :
            ( ndr1_0
           => ( ~ c2_1(X24)
              | c3_1(X24)
              | c1_1(X24) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c1_1(X22)
              | c0_1(X22)
              | ~ c3_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c1_1(X23)
              | c2_1(X23)
              | c3_1(X23) ) ) )
      & ( hskp8
        | hskp14
        | hskp12 )
      & ( ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | c0_1(X37)
              | c2_1(X37) ) )
        | hskp9
        | ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c3_1(X38)
              | ~ c2_1(X38) ) ) )
      & ( hskp20
        | ! [X74] :
            ( ndr1_0
           => ( c3_1(X74)
              | ~ c0_1(X74)
              | ~ c1_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c2_1(X73)
              | ~ c0_1(X73)
              | c1_1(X73) ) ) )
      & ( ~ hskp22
        | ( ~ c0_1(a1468)
          & c1_1(a1468)
          & c3_1(a1468)
          & ndr1_0 ) )
      & ( hskp27
        | ! [X6] :
            ( ndr1_0
           => ( ~ c2_1(X6)
              | ~ c1_1(X6)
              | ~ c3_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c1_1(X5)
              | c0_1(X5)
              | c2_1(X5) ) ) )
      & ( ( ~ c1_1(a1460)
          & ~ c0_1(a1460)
          & ~ c3_1(a1460)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( c2_1(a1429)
          & ndr1_0
          & c3_1(a1429)
          & ~ c0_1(a1429) )
        | ~ hskp1 )
      & ( ! [X26] :
            ( ndr1_0
           => ( c3_1(X26)
              | c1_1(X26)
              | ~ c2_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c1_1(X25)
              | ~ c3_1(X25) ) )
        | hskp5 )
      & ( hskp18
        | ! [X101] :
            ( ndr1_0
           => ( c2_1(X101)
              | c3_1(X101)
              | ~ c1_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( c3_1(X100)
              | c2_1(X100)
              | ~ c0_1(X100) ) ) )
      & ( ! [X112] :
            ( ndr1_0
           => ( ~ c0_1(X112)
              | ~ c3_1(X112)
              | c2_1(X112) ) )
        | hskp5
        | hskp17 )
      & ( ! [X29] :
            ( ndr1_0
           => ( c1_1(X29)
              | ~ c3_1(X29)
              | c0_1(X29) ) )
        | hskp6
        | hskp7 )
      & ( hskp9
        | ! [X89] :
            ( ndr1_0
           => ( ~ c3_1(X89)
              | c2_1(X89)
              | c1_1(X89) ) )
        | hskp22 )
      & ( ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | c3_1(X105)
              | c2_1(X105) ) )
        | hskp7
        | hskp4 )
      & ( hskp7
        | ! [X53] :
            ( ndr1_0
           => ( c3_1(X53)
              | c1_1(X53)
              | ~ c0_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c2_1(X52)
              | ~ c1_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp13
        | ! [X90] :
            ( ndr1_0
           => ( c1_1(X90)
              | ~ c2_1(X90)
              | c3_1(X90) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c1_1(X91)
              | ~ c0_1(X91) ) ) )
      & ( ( ~ c2_1(a1447)
          & ndr1_0
          & ~ c3_1(a1447)
          & ~ c0_1(a1447) )
        | ~ hskp11 )
      & ( hskp8
        | ! [X96] :
            ( ndr1_0
           => ( ~ c0_1(X96)
              | ~ c1_1(X96)
              | c3_1(X96) ) )
        | ! [X95] :
            ( ndr1_0
           => ( c1_1(X95)
              | ~ c3_1(X95)
              | ~ c2_1(X95) ) ) )
      & ( hskp7
        | ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | c2_1(X108)
              | ~ c1_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c1_1(X107)
              | c3_1(X107)
              | c2_1(X107) ) ) )
      & ( hskp3
        | hskp30
        | hskp8 )
      & ( hskp4
        | ! [X21] :
            ( ndr1_0
           => ( ~ c2_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) )
        | hskp0 )
      & ( hskp19
        | ! [X78] :
            ( ndr1_0
           => ( c3_1(X78)
              | ~ c0_1(X78)
              | ~ c2_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | ~ c0_1(X77)
              | c2_1(X77) ) ) )
      & ( hskp0
        | ! [X32] :
            ( ndr1_0
           => ( c3_1(X32)
              | c0_1(X32)
              | c2_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c2_1(X33)
              | ~ c3_1(X33) ) ) )
      & ( ( c3_1(a1430)
          & ~ c0_1(a1430)
          & ndr1_0
          & ~ c2_1(a1430) )
        | ~ hskp2 )
      & ( ! [X59] :
            ( ndr1_0
           => ( c2_1(X59)
              | ~ c0_1(X59)
              | ~ c1_1(X59) ) )
        | hskp28
        | ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | ~ c3_1(X58)
              | ~ c1_1(X58) ) ) )
      & ( ! [X87] :
            ( ndr1_0
           => ( c2_1(X87)
              | ~ c3_1(X87)
              | c1_1(X87) ) )
        | hskp6
        | ! [X88] :
            ( ndr1_0
           => ( ~ c1_1(X88)
              | ~ c3_1(X88)
              | ~ c0_1(X88) ) ) )
      & ( hskp0
        | hskp11
        | ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | c1_1(X92)
              | ~ c2_1(X92) ) ) )
      & ( ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | ~ c3_1(X51)
              | c0_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | ~ c1_1(X50)
              | c0_1(X50) ) )
        | hskp15 )
      & ( hskp5
        | hskp11
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | c0_1(X44)
              | c2_1(X44) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f989,plain,
    ( ~ spl0_13
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f97,f986,f261]) ).

fof(f261,plain,
    ( spl0_13
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f97,plain,
    ( ~ c0_1(a1504)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f978,plain,
    ( spl0_40
    | spl0_100
    | ~ spl0_5
    | spl0_30 ),
    inference(avatar_split_clause,[],[f18,f334,f226,f657,f375]) ).

fof(f375,plain,
    ( spl0_40
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f18,plain,
    ! [X102,X103] :
      ( c1_1(X102)
      | ~ ndr1_0
      | ~ c0_1(X103)
      | c3_1(X102)
      | hskp13
      | ~ c3_1(X103)
      | ~ c2_1(X102)
      | ~ c1_1(X103) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f962,plain,
    ( ~ spl0_42
    | spl0_150 ),
    inference(avatar_split_clause,[],[f118,f959,f385]) ).

fof(f118,plain,
    ( c0_1(a1427)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f957,plain,
    ( ~ spl0_149
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f89,f249,f954]) ).

fof(f249,plain,
    ( spl0_10
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f89,plain,
    ( ~ hskp17
    | ~ c1_1(a1457) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f951,plain,
    ( spl0_20
    | spl0_16
    | ~ spl0_5
    | spl0_74 ),
    inference(avatar_split_clause,[],[f41,f527,f226,f273,f291]) ).

fof(f291,plain,
    ( spl0_20
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f41,plain,
    ! [X118,X119] :
      ( ~ c3_1(X118)
      | ~ ndr1_0
      | c0_1(X118)
      | ~ c1_1(X119)
      | hskp15
      | ~ c2_1(X119)
      | ~ c2_1(X118)
      | c0_1(X119) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f950,plain,
    ( ~ spl0_148
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f122,f266,f947]) ).

fof(f266,plain,
    ( spl0_14
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f122,plain,
    ( ~ hskp14
    | ~ c1_1(a1451) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f945,plain,
    ( spl0_17
    | ~ spl0_5
    | spl0_42
    | spl0_48 ),
    inference(avatar_split_clause,[],[f23,f411,f385,f226,f277]) ).

fof(f277,plain,
    ( spl0_17
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f23,plain,
    ! [X108] :
      ( c1_1(X108)
      | hskp0
      | c0_1(X108)
      | ~ ndr1_0
      | ~ c2_1(X108)
      | hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f943,plain,
    ( ~ spl0_89
    | spl0_147 ),
    inference(avatar_split_clause,[],[f181,f940,f603]) ).

fof(f603,plain,
    ( spl0_89
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f181,plain,
    ( c0_1(a1428)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f933,plain,
    ( ~ spl0_145
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f88,f249,f930]) ).

fof(f88,plain,
    ( ~ hskp17
    | ~ c2_1(a1457) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f928,plain,
    ( spl0_9
    | ~ spl0_5
    | spl0_30
    | spl0_27 ),
    inference(avatar_split_clause,[],[f54,f322,f334,f226,f244]) ).

fof(f244,plain,
    ( spl0_9
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f54,plain,
    ! [X92,X93] :
      ( c1_1(X93)
      | c1_1(X92)
      | ~ ndr1_0
      | hskp5
      | c0_1(X93)
      | ~ c3_1(X93)
      | c3_1(X92)
      | ~ c2_1(X92) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f921,plain,
    ( spl0_143
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f154,f291,f918]) ).

fof(f154,plain,
    ( ~ hskp15
    | c0_1(a1452) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f915,plain,
    ( spl0_142
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f188,f375,f912]) ).

fof(f188,plain,
    ( ~ hskp13
    | c2_1(a1449) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f910,plain,
    ( ~ spl0_5
    | spl0_31
    | spl0_37
    | spl0_98 ),
    inference(avatar_split_clause,[],[f61,f650,f361,f337,f226]) ).

fof(f361,plain,
    ( spl0_37
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f61,plain,
    ! [X50,X51] :
      ( ~ c2_1(X51)
      | ~ c0_1(X51)
      | hskp21
      | c2_1(X50)
      | c1_1(X50)
      | ~ ndr1_0
      | ~ c0_1(X50)
      | c3_1(X51) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f909,plain,
    ( spl0_23
    | spl0_54
    | spl0_92
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f33,f226,f618,f433,f304]) ).

fof(f304,plain,
    ( spl0_23
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f33,plain,
    ! [X76,X75] :
      ( ~ ndr1_0
      | c0_1(X75)
      | c3_1(X75)
      | c2_1(X76)
      | ~ c1_1(X76)
      | ~ c1_1(X75)
      | hskp12
      | c3_1(X76) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f908,plain,
    ( ~ spl0_33
    | spl0_141 ),
    inference(avatar_split_clause,[],[f151,f905,f346]) ).

fof(f346,plain,
    ( spl0_33
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f151,plain,
    ( c3_1(a1468)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f903,plain,
    ( ~ spl0_17
    | spl0_140 ),
    inference(avatar_split_clause,[],[f104,f900,f277]) ).

fof(f104,plain,
    ( c1_1(a1434)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f892,plain,
    ( spl0_138
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f76,f304,f889]) ).

fof(f76,plain,
    ( ~ hskp12
    | c3_1(a1448) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f885,plain,
    ( ~ spl0_5
    | spl0_56
    | spl0_28
    | spl0_43 ),
    inference(avatar_split_clause,[],[f32,f389,f326,f441,f226]) ).

fof(f441,plain,
    ( spl0_56
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f326,plain,
    ( spl0_28
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f32,plain,
    ! [X63] :
      ( c0_1(X63)
      | hskp8
      | c3_1(X63)
      | c2_1(X63)
      | hskp7
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f884,plain,
    ( spl0_50
    | spl0_77
    | spl0_35
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f60,f226,f354,f539,f417]) ).

fof(f60,plain,
    ! [X31,X29,X30] :
      ( ~ ndr1_0
      | c1_1(X29)
      | ~ c0_1(X30)
      | c3_1(X30)
      | ~ c3_1(X31)
      | ~ c2_1(X31)
      | c2_1(X29)
      | ~ c3_1(X29)
      | ~ c0_1(X31)
      | ~ c1_1(X30) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f883,plain,
    ( spl0_14
    | spl0_23
    | spl0_28 ),
    inference(avatar_split_clause,[],[f201,f326,f304,f266]) ).

fof(f201,plain,
    ( hskp8
    | hskp12
    | hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f882,plain,
    ( spl0_13
    | spl0_40
    | ~ spl0_5
    | spl0_72 ),
    inference(avatar_split_clause,[],[f15,f520,f226,f375,f261]) ).

fof(f15,plain,
    ! [X74] :
      ( ~ c1_1(X74)
      | ~ c3_1(X74)
      | ~ c2_1(X74)
      | ~ ndr1_0
      | hskp13
      | hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f880,plain,
    ( ~ spl0_9
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f190,f877,f244]) ).

fof(f190,plain,
    ( ~ c3_1(a1435)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f875,plain,
    ( spl0_56
    | ~ spl0_5
    | spl0_65
    | spl0_72 ),
    inference(avatar_split_clause,[],[f70,f520,f481,f226,f441]) ).

fof(f70,plain,
    ! [X38,X39] :
      ( ~ c2_1(X38)
      | c2_1(X39)
      | ~ c1_1(X38)
      | c3_1(X39)
      | ~ c3_1(X38)
      | ~ ndr1_0
      | c1_1(X39)
      | hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f868,plain,
    ( ~ spl0_5
    | spl0_49
    | spl0_98
    | spl0_46 ),
    inference(avatar_split_clause,[],[f72,f400,f650,f414,f226]) ).

fof(f400,plain,
    ( spl0_46
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f72,plain,
    ! [X46,X47] :
      ( hskp23
      | c3_1(X46)
      | ~ c3_1(X47)
      | c1_1(X47)
      | ~ c0_1(X46)
      | ~ ndr1_0
      | ~ c2_1(X47)
      | ~ c2_1(X46) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f865,plain,
    ( ~ spl0_135
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f153,f346,f862]) ).

fof(f153,plain,
    ( ~ hskp22
    | ~ c0_1(a1468) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f860,plain,
    ( ~ spl0_134
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f101,f441,f857]) ).

fof(f101,plain,
    ( ~ hskp7
    | ~ c1_1(a1438) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f855,plain,
    ( ~ spl0_5
    | spl0_42
    | spl0_53
    | spl0_25 ),
    inference(avatar_split_clause,[],[f14,f313,f430,f385,f226]) ).

fof(f14,plain,
    ! [X8,X7] :
      ( c1_1(X8)
      | ~ c0_1(X7)
      | c2_1(X8)
      | c3_1(X7)
      | c2_1(X7)
      | c0_1(X8)
      | hskp0
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f853,plain,
    ( ~ spl0_80
    | spl0_133 ),
    inference(avatar_split_clause,[],[f85,f850,f553]) ).

fof(f553,plain,
    ( spl0_80
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f85,plain,
    ( c0_1(a1445)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f847,plain,
    ( spl0_87
    | ~ spl0_5
    | spl0_23
    | spl0_98 ),
    inference(avatar_split_clause,[],[f57,f650,f304,f226,f591]) ).

fof(f591,plain,
    ( spl0_87
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f57,plain,
    ! [X77] :
      ( c3_1(X77)
      | hskp12
      | ~ c2_1(X77)
      | ~ c0_1(X77)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f846,plain,
    ( ~ spl0_132
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f121,f385,f843]) ).

fof(f121,plain,
    ( ~ hskp0
    | ~ c3_1(a1427) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f840,plain,
    ( ~ spl0_89
    | spl0_131 ),
    inference(avatar_split_clause,[],[f178,f837,f603]) ).

fof(f178,plain,
    ( c2_1(a1428)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f835,plain,
    ( ~ spl0_5
    | spl0_36
    | spl0_49
    | spl0_35 ),
    inference(avatar_split_clause,[],[f21,f354,f414,f358,f226]) ).

fof(f21,plain,
    ! [X65,X66,X64] :
      ( c2_1(X65)
      | ~ c3_1(X64)
      | c1_1(X64)
      | ~ c2_1(X64)
      | c1_1(X65)
      | ~ c0_1(X66)
      | ~ c1_1(X66)
      | ~ c3_1(X65)
      | ~ ndr1_0
      | ~ c2_1(X66) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f833,plain,
    ( spl0_87
    | ~ spl0_5
    | spl0_9
    | spl0_29 ),
    inference(avatar_split_clause,[],[f20,f331,f244,f226,f591]) ).

fof(f20,plain,
    ! [X120] :
      ( c2_1(X120)
      | hskp5
      | c0_1(X120)
      | ~ ndr1_0
      | ~ c3_1(X120)
      | hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f832,plain,
    ( ~ spl0_87
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f171,f829,f591]) ).

fof(f171,plain,
    ( ~ c3_1(a1447)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f827,plain,
    ( ~ spl0_5
    | spl0_65
    | spl0_27
    | spl0_30 ),
    inference(avatar_split_clause,[],[f64,f334,f322,f481,f226]) ).

fof(f64,plain,
    ! [X83,X84,X85] :
      ( ~ c2_1(X83)
      | c1_1(X83)
      | c0_1(X84)
      | c3_1(X85)
      | c1_1(X85)
      | c3_1(X83)
      | ~ c3_1(X84)
      | c1_1(X84)
      | ~ ndr1_0
      | c2_1(X85) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f820,plain,
    ( spl0_56
    | ~ spl0_5
    | spl0_17
    | spl0_53 ),
    inference(avatar_split_clause,[],[f40,f430,f277,f226,f441]) ).

fof(f40,plain,
    ! [X99] :
      ( c3_1(X99)
      | ~ c0_1(X99)
      | hskp4
      | ~ ndr1_0
      | hskp7
      | c2_1(X99) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f812,plain,
    ( spl0_127
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f77,f304,f809]) ).

fof(f77,plain,
    ( ~ hskp12
    | c0_1(a1448) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f806,plain,
    ( spl0_126
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f156,f291,f803]) ).

fof(f156,plain,
    ( ~ hskp15
    | c1_1(a1452) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f801,plain,
    ( ~ spl0_2
    | spl0_125 ),
    inference(avatar_split_clause,[],[f111,f798,f212]) ).

fof(f212,plain,
    ( spl0_2
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f111,plain,
    ( c1_1(a1454)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f796,plain,
    ( spl0_33
    | spl0_10
    | spl0_52 ),
    inference(avatar_split_clause,[],[f204,f425,f249,f346]) ).

fof(f425,plain,
    ( spl0_52
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f204,plain,
    ( hskp3
    | hskp17
    | hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f794,plain,
    ( spl0_10
    | spl0_63
    | ~ spl0_5
    | spl0_11 ),
    inference(avatar_split_clause,[],[f35,f253,f226,f474,f249]) ).

fof(f35,plain,
    ! [X19,X20] :
      ( ~ c0_1(X20)
      | ~ c3_1(X20)
      | ~ ndr1_0
      | ~ c1_1(X19)
      | ~ c3_1(X19)
      | c2_1(X20)
      | c0_1(X19)
      | hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f793,plain,
    ( ~ spl0_46
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f127,f790,f400]) ).

fof(f127,plain,
    ( ~ c0_1(a1477)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f788,plain,
    ( ~ spl0_123
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f158,f309,f785]) ).

fof(f309,plain,
    ( spl0_24
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f158,plain,
    ( ~ hskp2
    | ~ c2_1(a1430) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f783,plain,
    ( ~ spl0_2
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f110,f780,f212]) ).

fof(f110,plain,
    ( ~ c3_1(a1454)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f778,plain,
    ( ~ spl0_4
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f169,f775,f221]) ).

fof(f221,plain,
    ( spl0_4
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f169,plain,
    ( ~ c1_1(a1460)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f773,plain,
    ( spl0_42
    | ~ spl0_5
    | spl0_13
    | spl0_100 ),
    inference(avatar_split_clause,[],[f29,f657,f261,f226,f385]) ).

fof(f29,plain,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c0_1(X0)
      | hskp25
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f772,plain,
    ( ~ spl0_9
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f192,f769,f244]) ).

fof(f192,plain,
    ( ~ c2_1(a1435)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f767,plain,
    ( ~ spl0_26
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f142,f764,f316]) ).

fof(f316,plain,
    ( spl0_26
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f142,plain,
    ( ~ c0_1(a1429)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f762,plain,
    ( spl0_118
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f126,f400,f759]) ).

fof(f126,plain,
    ( ~ hskp23
    | c2_1(a1477) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f757,plain,
    ( spl0_89
    | spl0_72
    | spl0_25
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f24,f226,f313,f520,f603]) ).

fof(f24,plain,
    ! [X90,X91] :
      ( ~ ndr1_0
      | c1_1(X91)
      | ~ c1_1(X90)
      | c0_1(X91)
      | hskp27
      | ~ c3_1(X90)
      | c2_1(X91)
      | ~ c2_1(X90) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f751,plain,
    ( ~ spl0_116
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f170,f591,f748]) ).

fof(f170,plain,
    ( ~ hskp11
    | ~ c0_1(a1447) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f745,plain,
    ( ~ spl0_26
    | spl0_115 ),
    inference(avatar_split_clause,[],[f143,f742,f316]) ).

fof(f143,plain,
    ( c3_1(a1429)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f733,plain,
    ( ~ spl0_80
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f82,f730,f553]) ).

fof(f82,plain,
    ( ~ c3_1(a1445)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f728,plain,
    ( ~ spl0_5
    | spl0_53
    | spl0_50
    | spl0_87 ),
    inference(avatar_split_clause,[],[f25,f591,f417,f430,f226]) ).

fof(f25,plain,
    ! [X36,X35] :
      ( hskp11
      | ~ c0_1(X35)
      | ~ c0_1(X36)
      | ~ ndr1_0
      | ~ c2_1(X35)
      | c2_1(X36)
      | ~ c3_1(X35)
      | c3_1(X36) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f715,plain,
    ( ~ spl0_110
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f160,f309,f712]) ).

fof(f160,plain,
    ( ~ hskp2
    | ~ c0_1(a1430) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f701,plain,
    ( ~ spl0_107
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f130,f361,f698]) ).

fof(f130,plain,
    ( ~ hskp21
    | ~ c1_1(a1466) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f696,plain,
    ( spl0_2
    | ~ spl0_5
    | spl0_56
    | spl0_16 ),
    inference(avatar_split_clause,[],[f49,f273,f441,f226,f212]) ).

fof(f49,plain,
    ! [X42] :
      ( c0_1(X42)
      | hskp7
      | ~ ndr1_0
      | ~ c2_1(X42)
      | hskp16
      | ~ c1_1(X42) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f695,plain,
    ( ~ spl0_87
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f173,f692,f591]) ).

fof(f173,plain,
    ( ~ c2_1(a1447)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f690,plain,
    ( ~ spl0_105
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f83,f553,f687]) ).

fof(f83,plain,
    ( ~ hskp10
    | ~ c1_1(a1445) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f685,plain,
    ( ~ spl0_104
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f78,f326,f682]) ).

fof(f78,plain,
    ( ~ hskp8
    | ~ c1_1(a1441) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f680,plain,
    ( spl0_42
    | ~ spl0_5
    | spl0_48
    | spl0_63 ),
    inference(avatar_split_clause,[],[f50,f474,f411,f226,f385]) ).

fof(f50,plain,
    ! [X52,X53] :
      ( ~ c3_1(X53)
      | ~ c1_1(X53)
      | c1_1(X52)
      | ~ c2_1(X52)
      | c0_1(X52)
      | ~ ndr1_0
      | c0_1(X53)
      | hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f678,plain,
    ( spl0_103
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f145,f316,f675]) ).

fof(f145,plain,
    ( ~ hskp1
    | c2_1(a1429) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f672,plain,
    ( ~ spl0_9
    | spl0_102 ),
    inference(avatar_split_clause,[],[f193,f669,f244]) ).

fof(f193,plain,
    ( c0_1(a1435)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f666,plain,
    ( ~ spl0_56
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f98,f663,f441]) ).

fof(f98,plain,
    ( ~ c0_1(a1438)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f652,plain,
    ( spl0_31
    | spl0_98
    | ~ spl0_5
    | spl0_4 ),
    inference(avatar_split_clause,[],[f13,f221,f226,f650,f337]) ).

fof(f13,plain,
    ! [X109,X110] :
      ( hskp19
      | ~ ndr1_0
      | ~ c2_1(X109)
      | c3_1(X109)
      | c1_1(X110)
      | ~ c0_1(X110)
      | ~ c0_1(X109)
      | c2_1(X110) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f648,plain,
    ( spl0_33
    | spl0_11
    | ~ spl0_5
    | spl0_35 ),
    inference(avatar_split_clause,[],[f12,f354,f226,f253,f346]) ).

fof(f12,plain,
    ! [X58,X59] :
      ( ~ c3_1(X58)
      | c2_1(X58)
      | ~ ndr1_0
      | ~ c0_1(X59)
      | c2_1(X59)
      | hskp22
      | c1_1(X58)
      | ~ c3_1(X59) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f641,plain,
    ( ~ spl0_17
    | spl0_96 ),
    inference(avatar_split_clause,[],[f105,f638,f277]) ).

fof(f105,plain,
    ( c3_1(a1434)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f631,plain,
    ( spl0_5
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f138,f459,f226]) ).

fof(f459,plain,
    ( spl0_60
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f138,plain,
    ( ~ hskp29
    | ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f630,plain,
    ( ~ spl0_17
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f102,f627,f277]) ).

fof(f102,plain,
    ( ~ c2_1(a1434)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f620,plain,
    ( ~ spl0_5
    | spl0_92
    | spl0_26
    | spl0_40 ),
    inference(avatar_split_clause,[],[f30,f375,f316,f618,f226]) ).

fof(f30,plain,
    ! [X6] :
      ( hskp13
      | hskp1
      | ~ c1_1(X6)
      | ~ ndr1_0
      | c0_1(X6)
      | c3_1(X6) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f616,plain,
    ( spl0_91
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f131,f361,f613]) ).

fof(f131,plain,
    ( ~ hskp21
    | c0_1(a1466) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f606,plain,
    ( spl0_88
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f179,f603,f599]) ).

fof(f179,plain,
    ( ~ hskp27
    | c3_1(a1428) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f597,plain,
    ( spl0_11
    | ~ spl0_5
    | spl0_48
    | spl0_63 ),
    inference(avatar_split_clause,[],[f36,f474,f411,f226,f253]) ).

fof(f36,plain,
    ! [X72,X73,X71] :
      ( ~ c3_1(X73)
      | ~ c1_1(X73)
      | ~ c2_1(X72)
      | ~ ndr1_0
      | c1_1(X72)
      | c2_1(X71)
      | c0_1(X72)
      | c0_1(X73)
      | ~ c0_1(X71)
      | ~ c3_1(X71) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f583,plain,
    ( ~ spl0_85
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f86,f249,f580]) ).

fof(f86,plain,
    ( ~ hskp17
    | ~ c0_1(a1457) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f573,plain,
    ( ~ spl0_5
    | spl0_16
    | spl0_53
    | spl0_30 ),
    inference(avatar_split_clause,[],[f46,f334,f430,f273,f226]) ).

fof(f46,plain,
    ! [X56,X57,X55] :
      ( c3_1(X57)
      | c2_1(X55)
      | c0_1(X56)
      | ~ c2_1(X57)
      | c1_1(X57)
      | ~ c2_1(X56)
      | ~ ndr1_0
      | ~ c1_1(X56)
      | ~ c0_1(X55)
      | c3_1(X55) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f572,plain,
    ( spl0_56
    | ~ spl0_5
    | spl0_75
    | spl0_16 ),
    inference(avatar_split_clause,[],[f71,f273,f530,f226,f441]) ).

fof(f71,plain,
    ! [X101,X100] :
      ( c0_1(X101)
      | c3_1(X100)
      | ~ c0_1(X100)
      | c1_1(X100)
      | ~ ndr1_0
      | ~ c1_1(X101)
      | ~ c2_1(X101)
      | hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f571,plain,
    ( ~ spl0_33
    | spl0_83 ),
    inference(avatar_split_clause,[],[f152,f568,f346]) ).

fof(f152,plain,
    ( c1_1(a1468)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f566,plain,
    ( ~ spl0_82
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f187,f375,f563]) ).

fof(f187,plain,
    ( ~ hskp13
    | ~ c3_1(a1449) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f561,plain,
    ( ~ spl0_13
    | spl0_81 ),
    inference(avatar_split_clause,[],[f96,f558,f261]) ).

fof(f96,plain,
    ( c2_1(a1504)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f556,plain,
    ( spl0_26
    | spl0_80
    | spl0_23 ),
    inference(avatar_split_clause,[],[f200,f304,f553,f316]) ).

fof(f200,plain,
    ( hskp12
    | hskp10
    | hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f546,plain,
    ( spl0_78
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f80,f326,f543]) ).

fof(f80,plain,
    ( ~ hskp8
    | c3_1(a1441) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f541,plain,
    ( ~ spl0_5
    | spl0_28
    | spl0_77
    | spl0_49 ),
    inference(avatar_split_clause,[],[f63,f414,f539,f326,f226]) ).

fof(f63,plain,
    ! [X104,X105] :
      ( ~ c2_1(X105)
      | c3_1(X104)
      | hskp8
      | c1_1(X105)
      | ~ ndr1_0
      | ~ c1_1(X104)
      | ~ c0_1(X104)
      | ~ c3_1(X105) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f537,plain,
    ( spl0_76
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f120,f385,f534]) ).

fof(f120,plain,
    ( ~ hskp0
    | c2_1(a1427) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f532,plain,
    ( spl0_23
    | spl0_74
    | ~ spl0_5
    | spl0_75 ),
    inference(avatar_split_clause,[],[f58,f530,f226,f527,f304]) ).

fof(f58,plain,
    ! [X2,X1] :
      ( c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c0_1(X1)
      | hskp12
      | c0_1(X2)
      | c1_1(X1) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f517,plain,
    ( spl0_24
    | ~ spl0_5
    | spl0_65
    | spl0_43 ),
    inference(avatar_split_clause,[],[f48,f389,f481,f226,f309]) ).

fof(f48,plain,
    ! [X28,X27] :
      ( c0_1(X27)
      | c2_1(X28)
      | c2_1(X27)
      | c1_1(X28)
      | c3_1(X27)
      | c3_1(X28)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f516,plain,
    ( spl0_71
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f161,f309,f513]) ).

fof(f161,plain,
    ( ~ hskp2
    | c3_1(a1430) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f511,plain,
    ( ~ spl0_37
    | spl0_70 ),
    inference(avatar_split_clause,[],[f132,f508,f361]) ).

fof(f132,plain,
    ( c2_1(a1466)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f501,plain,
    ( ~ spl0_52
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f183,f498,f425]) ).

fof(f183,plain,
    ( ~ c0_1(a1431)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f495,plain,
    ( spl0_44
    | spl0_56
    | spl0_54
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f42,f226,f433,f441,f392]) ).

fof(f42,plain,
    ! [X106,X107] :
      ( ~ ndr1_0
      | c2_1(X107)
      | hskp7
      | c3_1(X107)
      | ~ c1_1(X106)
      | ~ c3_1(X106)
      | c2_1(X106)
      | ~ c1_1(X107) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f494,plain,
    ( ~ spl0_14
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f124,f491,f266]) ).

fof(f124,plain,
    ( ~ c3_1(a1451)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f488,plain,
    ( spl0_46
    | spl0_66
    | ~ spl0_5
    | spl0_36 ),
    inference(avatar_split_clause,[],[f62,f358,f226,f486,f400]) ).

fof(f62,plain,
    ! [X70,X69] :
      ( ~ c0_1(X69)
      | ~ c2_1(X69)
      | ~ ndr1_0
      | ~ c2_1(X70)
      | ~ c1_1(X69)
      | ~ c1_1(X70)
      | hskp23
      | c3_1(X70) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f484,plain,
    ( spl0_47
    | spl0_42
    | spl0_60 ),
    inference(avatar_split_clause,[],[f205,f459,f385,f406]) ).

fof(f406,plain,
    ( spl0_47
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f205,plain,
    ( hskp29
    | hskp0
    | hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f472,plain,
    ( spl0_62
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f185,f425,f469]) ).

fof(f185,plain,
    ( ~ hskp3
    | c1_1(a1431) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f467,plain,
    ( ~ spl0_28
    | spl0_61 ),
    inference(avatar_split_clause,[],[f81,f464,f326]) ).

fof(f81,plain,
    ( c0_1(a1441)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f444,plain,
    ( spl0_55
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f100,f441,f437]) ).

fof(f100,plain,
    ( ~ hskp7
    | c3_1(a1438) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f428,plain,
    ( ~ spl0_51
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f184,f425,f421]) ).

fof(f184,plain,
    ( ~ hskp3
    | ~ c2_1(a1431) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f419,plain,
    ( ~ spl0_5
    | spl0_48
    | spl0_49
    | spl0_50 ),
    inference(avatar_split_clause,[],[f66,f417,f414,f411,f226]) ).

fof(f66,plain,
    ! [X44,X45,X43] :
      ( ~ c2_1(X44)
      | ~ c2_1(X45)
      | ~ c3_1(X45)
      | ~ c3_1(X44)
      | ~ c2_1(X43)
      | ~ ndr1_0
      | c1_1(X45)
      | c1_1(X43)
      | ~ c0_1(X44)
      | c0_1(X43) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f409,plain,
    ( ~ spl0_47
    | spl0_5 ),
    inference(avatar_split_clause,[],[f197,f226,f406]) ).

fof(f197,plain,
    ( ndr1_0
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f403,plain,
    ( ~ spl0_45
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f129,f400,f396]) ).

fof(f129,plain,
    ( ~ hskp23
    | ~ c1_1(a1477) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f394,plain,
    ( ~ spl0_5
    | spl0_42
    | spl0_43
    | spl0_44 ),
    inference(avatar_split_clause,[],[f37,f392,f389,f385,f226]) ).

fof(f37,plain,
    ! [X111,X112] :
      ( ~ c1_1(X112)
      | c2_1(X111)
      | ~ c3_1(X112)
      | c0_1(X111)
      | c2_1(X112)
      | hskp0
      | c3_1(X111)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f378,plain,
    ( spl0_39
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f189,f375,f371]) ).

fof(f189,plain,
    ( ~ hskp13
    | c1_1(a1449) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f369,plain,
    ( ~ spl0_14
    | spl0_38 ),
    inference(avatar_split_clause,[],[f125,f366,f266]) ).

fof(f125,plain,
    ( c2_1(a1451)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f344,plain,
    ( ~ spl0_4
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f168,f341,f221]) ).

fof(f168,plain,
    ( ~ c0_1(a1460)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f339,plain,
    ( spl0_29
    | ~ spl0_5
    | spl0_30
    | spl0_31 ),
    inference(avatar_split_clause,[],[f45,f337,f334,f226,f331]) ).

fof(f45,plain,
    ! [X14,X15,X13] :
      ( c1_1(X13)
      | ~ c2_1(X15)
      | ~ ndr1_0
      | ~ c0_1(X13)
      | c2_1(X14)
      | ~ c3_1(X14)
      | c3_1(X15)
      | c1_1(X15)
      | c2_1(X13)
      | c0_1(X14) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f324,plain,
    ( spl0_11
    | spl0_27
    | spl0_9
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f43,f226,f244,f322,f253]) ).

fof(f43,plain,
    ! [X21,X22] :
      ( ~ ndr1_0
      | hskp5
      | c0_1(X21)
      | ~ c3_1(X21)
      | ~ c3_1(X22)
      | c2_1(X22)
      | ~ c0_1(X22)
      | c1_1(X21) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f319,plain,
    ( spl0_24
    | ~ spl0_5
    | spl0_25
    | spl0_26 ),
    inference(avatar_split_clause,[],[f16,f316,f313,f226,f309]) ).

fof(f16,plain,
    ! [X54] :
      ( hskp1
      | c2_1(X54)
      | c0_1(X54)
      | ~ ndr1_0
      | hskp2
      | c1_1(X54) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f307,plain,
    ( ~ spl0_22
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f74,f304,f300]) ).

fof(f74,plain,
    ( ~ hskp12
    | ~ c2_1(a1448) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f298,plain,
    ( ~ spl0_20
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f155,f295,f291]) ).

fof(f155,plain,
    ( ~ c3_1(a1452)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f275,plain,
    ( spl0_14
    | ~ spl0_5
    | spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f7,f273,f270,f226,f266]) ).

fof(f7,plain,
    ! [X78,X79] :
      ( c0_1(X79)
      | ~ c1_1(X79)
      | c0_1(X78)
      | ~ c2_1(X78)
      | ~ ndr1_0
      | ~ c2_1(X79)
      | hskp14
      | c3_1(X78) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f264,plain,
    ( spl0_12
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f95,f261,f257]) ).

fof(f95,plain,
    ( ~ hskp25
    | c1_1(a1504) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f255,plain,
    ( ~ spl0_5
    | spl0_10
    | spl0_9
    | spl0_11 ),
    inference(avatar_split_clause,[],[f44,f253,f244,f249,f226]) ).

fof(f44,plain,
    ! [X96] :
      ( ~ c0_1(X96)
      | hskp5
      | hskp17
      | ~ ndr1_0
      | c2_1(X96)
      | ~ c3_1(X96) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f224,plain,
    ( ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f167,f221,f217]) ).

fof(f167,plain,
    ( ~ hskp19
    | ~ c3_1(a1460) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f215,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f112,f212,f208]) ).

fof(f112,plain,
    ( ~ hskp16
    | ~ c0_1(a1454) ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN479+1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.32  % Computer : n023.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 22:20:34 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.18/0.43  % (10753)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.44  % (10748)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.45  % (10753)Instruction limit reached!
% 0.18/0.45  % (10753)------------------------------
% 0.18/0.45  % (10753)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.45  % (10753)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.45  % (10753)Termination reason: Unknown
% 0.18/0.45  % (10753)Termination phase: Preprocessing 1
% 0.18/0.45  
% 0.18/0.45  % (10753)Memory used [KB]: 1151
% 0.18/0.45  % (10753)Time elapsed: 0.004 s
% 0.18/0.45  % (10753)Instructions burned: 2 (million)
% 0.18/0.45  % (10753)------------------------------
% 0.18/0.45  % (10753)------------------------------
% 0.18/0.46  % (10769)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.51  % (10745)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.51  % (10763)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.51  % (10746)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.51  % (10747)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.52  % (10748)First to succeed.
% 0.18/0.52  % (10751)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52  % (10762)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.52  % (10768)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.52  Detected maximum model sizes of [31]
% 0.18/0.52  TRYING [1]
% 0.18/0.52  TRYING [2]
% 0.18/0.52  % (10757)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.52  % (10760)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.52  % (10758)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.52  % (10764)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.52  % (10772)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.53  % (10749)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.53  % (10771)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.53  % (10752)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.53  % (10756)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.53  % (10766)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.53  % (10774)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.18/0.53  % (10750)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.53  % (10765)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.54  % (10773)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.51/0.54  % (10754)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.51/0.54  % (10759)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.51/0.54  % (10770)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.51/0.54  % (10761)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.51/0.54  % (10755)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.51/0.54  TRYING [3]
% 1.51/0.54  % (10767)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.51/0.54  % (10752)Instruction limit reached!
% 1.51/0.54  % (10752)------------------------------
% 1.51/0.54  % (10752)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.54  % (10752)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.54  % (10752)Termination reason: Unknown
% 1.51/0.54  % (10752)Termination phase: Saturation
% 1.51/0.54  
% 1.51/0.54  % (10752)Memory used [KB]: 5884
% 1.51/0.54  % (10752)Time elapsed: 0.004 s
% 1.51/0.54  % (10752)Instructions burned: 7 (million)
% 1.51/0.54  % (10752)------------------------------
% 1.51/0.54  % (10752)------------------------------
% 1.51/0.55  Detected maximum model sizes of [31]
% 1.51/0.55  TRYING [1]
% 1.51/0.55  TRYING [4]
% 1.67/0.56  % (10748)Refutation found. Thanks to Tanya!
% 1.67/0.56  % SZS status Theorem for theBenchmark
% 1.67/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.67/0.56  % (10748)------------------------------
% 1.67/0.56  % (10748)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.56  % (10748)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.56  % (10748)Termination reason: Refutation
% 1.67/0.56  
% 1.67/0.56  % (10748)Memory used [KB]: 7291
% 1.67/0.56  % (10748)Time elapsed: 0.144 s
% 1.67/0.56  % (10748)Instructions burned: 47 (million)
% 1.67/0.56  % (10748)------------------------------
% 1.67/0.56  % (10748)------------------------------
% 1.67/0.56  % (10744)Success in time 0.222 s
%------------------------------------------------------------------------------