TSTP Solution File: SYN502+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN502+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 : n013.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 19:38:34 EDT 2022

% Result   : Theorem 2.44s 0.73s
% Output   : Refutation 2.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  122
% Syntax   : Number of formulae    :  505 (   1 unt;   0 def)
%            Number of atoms       : 6051 (   0 equ)
%            Maximal formula atoms :  747 (  11 avg)
%            Number of connectives : 7972 (2426   ~;3715   |;1242   &)
%                                         ( 121 <=>; 468  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  121 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  159 ( 158 usr; 155 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  808 ( 808   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2311,plain,
    $false,
    inference(avatar_sat_refutation,[],[f243,f257,f266,f271,f289,f298,f351,f373,f386,f391,f401,f412,f418,f432,f437,f441,f451,f452,f471,f476,f492,f497,f502,f511,f515,f523,f536,f543,f548,f554,f556,f562,f563,f573,f575,f580,f585,f586,f587,f592,f602,f608,f612,f617,f622,f627,f636,f651,f657,f672,f677,f687,f692,f698,f704,f709,f714,f719,f726,f732,f765,f771,f772,f777,f784,f789,f794,f805,f806,f817,f823,f829,f841,f856,f861,f866,f871,f883,f888,f897,f898,f907,f908,f923,f931,f932,f943,f968,f975,f991,f992,f997,f1003,f1008,f1010,f1015,f1016,f1021,f1023,f1024,f1025,f1026,f1031,f1038,f1074,f1084,f1086,f1088,f1124,f1145,f1197,f1202,f1219,f1247,f1269,f1295,f1316,f1318,f1335,f1359,f1360,f1363,f1375,f1376,f1386,f1399,f1445,f1500,f1506,f1507,f1533,f1559,f1600,f1602,f1612,f1647,f1687,f1760,f1820,f1907,f1908,f1966,f1967,f1969,f1970,f2022,f2061,f2063,f2066,f2140,f2143,f2258,f2260,f2281,f2286,f2305,f2308,f2309,f2310]) ).

fof(f2310,plain,
    ( spl0_119
    | spl0_51
    | ~ spl0_11
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f2200,f465,f259,f434,f786]) ).

fof(f786,plain,
    ( spl0_119
  <=> c1_1(a244) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f434,plain,
    ( spl0_51
  <=> c2_1(a244) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f259,plain,
    ( spl0_11
  <=> c0_1(a244) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f465,plain,
    ( spl0_57
  <=> ! [X106] :
        ( ~ c0_1(X106)
        | c2_1(X106)
        | c1_1(X106) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f2200,plain,
    ( c2_1(a244)
    | c1_1(a244)
    | ~ spl0_11
    | ~ spl0_57 ),
    inference(resolution,[],[f466,f261]) ).

fof(f261,plain,
    ( c0_1(a244)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f466,plain,
    ( ! [X106] :
        ( ~ c0_1(X106)
        | c1_1(X106)
        | c2_1(X106) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f2309,plain,
    ( spl0_80
    | spl0_171
    | ~ spl0_57
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f2208,f654,f465,f1153,f577]) ).

fof(f577,plain,
    ( spl0_80
  <=> c1_1(a269) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1153,plain,
    ( spl0_171
  <=> c2_1(a269) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f654,plain,
    ( spl0_95
  <=> c0_1(a269) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f2208,plain,
    ( c2_1(a269)
    | c1_1(a269)
    | ~ spl0_57
    | ~ spl0_95 ),
    inference(resolution,[],[f466,f656]) ).

fof(f656,plain,
    ( c0_1(a269)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f654]) ).

fof(f2308,plain,
    ( spl0_99
    | spl0_143
    | ~ spl0_57
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2198,f1035,f465,f920,f674]) ).

fof(f674,plain,
    ( spl0_99
  <=> c1_1(a239) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f920,plain,
    ( spl0_143
  <=> c2_1(a239) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1035,plain,
    ( spl0_161
  <=> c0_1(a239) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f2198,plain,
    ( c2_1(a239)
    | c1_1(a239)
    | ~ spl0_57
    | ~ spl0_161 ),
    inference(resolution,[],[f466,f1037]) ).

fof(f1037,plain,
    ( c0_1(a239)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1035]) ).

fof(f2305,plain,
    ( spl0_120
    | spl0_189
    | ~ spl0_69
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f2294,f648,f517,f1781,f791]) ).

fof(f791,plain,
    ( spl0_120
  <=> c3_1(a259) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1781,plain,
    ( spl0_189
  <=> c0_1(a259) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).

fof(f517,plain,
    ( spl0_69
  <=> ! [X49] :
        ( c3_1(X49)
        | ~ c1_1(X49)
        | c0_1(X49) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f648,plain,
    ( spl0_94
  <=> c1_1(a259) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f2294,plain,
    ( c0_1(a259)
    | c3_1(a259)
    | ~ spl0_69
    | ~ spl0_94 ),
    inference(resolution,[],[f518,f650]) ).

fof(f650,plain,
    ( c1_1(a259)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f518,plain,
    ( ! [X49] :
        ( ~ c1_1(X49)
        | c0_1(X49)
        | c3_1(X49) )
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f2286,plain,
    ( ~ spl0_94
    | spl0_125
    | ~ spl0_7
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f2271,f1781,f241,f820,f648]) ).

fof(f820,plain,
    ( spl0_125
  <=> c2_1(a259) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f241,plain,
    ( spl0_7
  <=> ! [X9] :
        ( ~ c1_1(X9)
        | c2_1(X9)
        | ~ c0_1(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f2271,plain,
    ( c2_1(a259)
    | ~ c1_1(a259)
    | ~ spl0_7
    | ~ spl0_189 ),
    inference(resolution,[],[f242,f1783]) ).

fof(f1783,plain,
    ( c0_1(a259)
    | ~ spl0_189 ),
    inference(avatar_component_clause,[],[f1781]) ).

fof(f242,plain,
    ( ! [X9] :
        ( ~ c0_1(X9)
        | ~ c1_1(X9)
        | c2_1(X9) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f2281,plain,
    ( ~ spl0_102
    | spl0_66
    | ~ spl0_7
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2274,f716,f241,f504,f689]) ).

fof(f689,plain,
    ( spl0_102
  <=> c1_1(a271) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f504,plain,
    ( spl0_66
  <=> c2_1(a271) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f716,plain,
    ( spl0_107
  <=> c0_1(a271) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2274,plain,
    ( c2_1(a271)
    | ~ c1_1(a271)
    | ~ spl0_7
    | ~ spl0_107 ),
    inference(resolution,[],[f242,f718]) ).

fof(f718,plain,
    ( c0_1(a271)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f2260,plain,
    ( ~ spl0_146
    | spl0_182
    | ~ spl0_68
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2252,f838,f513,f1530,f940]) ).

fof(f940,plain,
    ( spl0_146
  <=> c2_1(a246) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f1530,plain,
    ( spl0_182
  <=> c1_1(a246) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f513,plain,
    ( spl0_68
  <=> ! [X63] :
        ( ~ c3_1(X63)
        | c1_1(X63)
        | ~ c2_1(X63) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f838,plain,
    ( spl0_128
  <=> c3_1(a246) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f2252,plain,
    ( c1_1(a246)
    | ~ c2_1(a246)
    | ~ spl0_68
    | ~ spl0_128 ),
    inference(resolution,[],[f514,f840]) ).

fof(f840,plain,
    ( c3_1(a246)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f514,plain,
    ( ! [X63] :
        ( ~ c3_1(X63)
        | c1_1(X63)
        | ~ c2_1(X63) )
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f2258,plain,
    ( ~ spl0_171
    | spl0_80
    | ~ spl0_17
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f2247,f513,f286,f577,f1153]) ).

fof(f286,plain,
    ( spl0_17
  <=> c3_1(a269) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f2247,plain,
    ( c1_1(a269)
    | ~ c2_1(a269)
    | ~ spl0_17
    | ~ spl0_68 ),
    inference(resolution,[],[f514,f288]) ).

fof(f288,plain,
    ( c3_1(a269)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f2143,plain,
    ( ~ spl0_47
    | ~ spl0_168
    | ~ spl0_44
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2125,f1005,f403,f1091,f415]) ).

fof(f415,plain,
    ( spl0_47
  <=> c2_1(a241) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f1091,plain,
    ( spl0_168
  <=> c1_1(a241) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f403,plain,
    ( spl0_44
  <=> ! [X90] :
        ( ~ c3_1(X90)
        | ~ c2_1(X90)
        | ~ c1_1(X90) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1005,plain,
    ( spl0_157
  <=> c3_1(a241) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f2125,plain,
    ( ~ c1_1(a241)
    | ~ c2_1(a241)
    | ~ spl0_44
    | ~ spl0_157 ),
    inference(resolution,[],[f404,f1007]) ).

fof(f1007,plain,
    ( c3_1(a241)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1005]) ).

fof(f404,plain,
    ( ! [X90] :
        ( ~ c3_1(X90)
        | ~ c1_1(X90)
        | ~ c2_1(X90) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f2140,plain,
    ( ~ spl0_136
    | ~ spl0_137
    | ~ spl0_44
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f2133,f1597,f403,f885,f880]) ).

fof(f880,plain,
    ( spl0_136
  <=> c2_1(a265) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f885,plain,
    ( spl0_137
  <=> c1_1(a265) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1597,plain,
    ( spl0_183
  <=> c3_1(a265) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f2133,plain,
    ( ~ c1_1(a265)
    | ~ c2_1(a265)
    | ~ spl0_44
    | ~ spl0_183 ),
    inference(resolution,[],[f404,f1599]) ).

fof(f1599,plain,
    ( c3_1(a265)
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f1597]) ).

fof(f2066,plain,
    ( spl0_161
    | spl0_143
    | ~ spl0_40
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f2043,f541,f388,f920,f1035]) ).

fof(f388,plain,
    ( spl0_40
  <=> c3_1(a239) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f541,plain,
    ( spl0_74
  <=> ! [X8] :
        ( c2_1(X8)
        | c0_1(X8)
        | ~ c3_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f2043,plain,
    ( c2_1(a239)
    | c0_1(a239)
    | ~ spl0_40
    | ~ spl0_74 ),
    inference(resolution,[],[f542,f390]) ).

fof(f390,plain,
    ( c3_1(a239)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f542,plain,
    ( ! [X8] :
        ( ~ c3_1(X8)
        | c0_1(X8)
        | c2_1(X8) )
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f2063,plain,
    ( spl0_64
    | spl0_10
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f2054,f545,f541,f254,f494]) ).

fof(f494,plain,
    ( spl0_64
  <=> c2_1(a282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f254,plain,
    ( spl0_10
  <=> c0_1(a282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f545,plain,
    ( spl0_75
  <=> c3_1(a282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f2054,plain,
    ( c0_1(a282)
    | c2_1(a282)
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(resolution,[],[f542,f547]) ).

fof(f547,plain,
    ( c3_1(a282)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f2061,plain,
    ( spl0_6
    | ~ spl0_74
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f2058,f610,f541,f238]) ).

fof(f238,plain,
    ( spl0_6
  <=> ! [X10] :
        ( c1_1(X10)
        | c0_1(X10)
        | c2_1(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f610,plain,
    ( spl0_86
  <=> ! [X66] :
        ( c2_1(X66)
        | c3_1(X66)
        | c1_1(X66) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f2058,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_74
    | ~ spl0_86 ),
    inference(duplicate_literal_removal,[],[f2038]) ).

fof(f2038,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_74
    | ~ spl0_86 ),
    inference(resolution,[],[f542,f611]) ).

fof(f611,plain,
    ( ! [X66] :
        ( c3_1(X66)
        | c1_1(X66)
        | c2_1(X66) )
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f2022,plain,
    ( spl0_57
    | ~ spl0_42
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f2021,f610,f396,f465]) ).

fof(f396,plain,
    ( spl0_42
  <=> ! [X32] :
        ( c2_1(X32)
        | ~ c3_1(X32)
        | ~ c0_1(X32) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f2021,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_42
    | ~ spl0_86 ),
    inference(duplicate_literal_removal,[],[f2001]) ).

fof(f2001,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_42
    | ~ spl0_86 ),
    inference(resolution,[],[f397,f611]) ).

fof(f397,plain,
    ( ! [X32] :
        ( ~ c3_1(X32)
        | c2_1(X32)
        | ~ c0_1(X32) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f1970,plain,
    ( spl0_185
    | spl0_81
    | ~ spl0_86
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1898,f695,f610,f582,f1684]) ).

fof(f1684,plain,
    ( spl0_185
  <=> c2_1(a263) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f582,plain,
    ( spl0_81
  <=> c1_1(a263) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f695,plain,
    ( spl0_103
  <=> c3_1(a263) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1898,plain,
    ( c1_1(a263)
    | c2_1(a263)
    | ~ spl0_86
    | spl0_103 ),
    inference(resolution,[],[f611,f697]) ).

fof(f697,plain,
    ( ~ c3_1(a263)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f1969,plain,
    ( spl0_159
    | spl0_168
    | ~ spl0_47
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1940,f739,f415,f1091,f1018]) ).

fof(f1018,plain,
    ( spl0_159
  <=> c0_1(a241) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f739,plain,
    ( spl0_111
  <=> ! [X52] :
        ( c0_1(X52)
        | ~ c2_1(X52)
        | c1_1(X52) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1940,plain,
    ( c1_1(a241)
    | c0_1(a241)
    | ~ spl0_47
    | ~ spl0_111 ),
    inference(resolution,[],[f740,f417]) ).

fof(f417,plain,
    ( c2_1(a241)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f740,plain,
    ( ! [X52] :
        ( ~ c2_1(X52)
        | c1_1(X52)
        | c0_1(X52) )
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f739]) ).

fof(f1967,plain,
    ( spl0_81
    | spl0_89
    | ~ spl0_111
    | ~ spl0_185 ),
    inference(avatar_split_clause,[],[f1950,f1684,f739,f624,f582]) ).

fof(f624,plain,
    ( spl0_89
  <=> c0_1(a263) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1950,plain,
    ( c0_1(a263)
    | c1_1(a263)
    | ~ spl0_111
    | ~ spl0_185 ),
    inference(resolution,[],[f740,f1686]) ).

fof(f1686,plain,
    ( c2_1(a263)
    | ~ spl0_185 ),
    inference(avatar_component_clause,[],[f1684]) ).

fof(f1966,plain,
    ( spl0_117
    | spl0_166
    | ~ spl0_111
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1948,f863,f739,f1076,f774]) ).

fof(f774,plain,
    ( spl0_117
  <=> c1_1(a257) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1076,plain,
    ( spl0_166
  <=> c0_1(a257) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f863,plain,
    ( spl0_133
  <=> c2_1(a257) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1948,plain,
    ( c0_1(a257)
    | c1_1(a257)
    | ~ spl0_111
    | ~ spl0_133 ),
    inference(resolution,[],[f740,f865]) ).

fof(f865,plain,
    ( c2_1(a257)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f863]) ).

fof(f1908,plain,
    ( spl0_57
    | ~ spl0_41
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1903,f610,f393,f465]) ).

fof(f393,plain,
    ( spl0_41
  <=> ! [X33] :
        ( ~ c0_1(X33)
        | ~ c3_1(X33)
        | c1_1(X33) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1903,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_41
    | ~ spl0_86 ),
    inference(duplicate_literal_removal,[],[f1890]) ).

fof(f1890,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_41
    | ~ spl0_86 ),
    inference(resolution,[],[f611,f394]) ).

fof(f394,plain,
    ( ! [X33] :
        ( ~ c3_1(X33)
        | c1_1(X33)
        | ~ c0_1(X33) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f1907,plain,
    ( spl0_151
    | spl0_50
    | spl0_19
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1901,f610,f295,f429,f972]) ).

fof(f972,plain,
    ( spl0_151
  <=> c1_1(a322) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f429,plain,
    ( spl0_50
  <=> c2_1(a322) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f295,plain,
    ( spl0_19
  <=> c3_1(a322) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1901,plain,
    ( c2_1(a322)
    | c1_1(a322)
    | spl0_19
    | ~ spl0_86 ),
    inference(resolution,[],[f611,f297]) ).

fof(f297,plain,
    ( ~ c3_1(a322)
    | spl0_19 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f1820,plain,
    ( ~ spl0_137
    | spl0_87
    | ~ spl0_45
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f1817,f1597,f406,f614,f885]) ).

fof(f614,plain,
    ( spl0_87
  <=> c0_1(a265) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f406,plain,
    ( spl0_45
  <=> ! [X91] :
        ( c0_1(X91)
        | ~ c3_1(X91)
        | ~ c1_1(X91) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1817,plain,
    ( c0_1(a265)
    | ~ c1_1(a265)
    | ~ spl0_45
    | ~ spl0_183 ),
    inference(resolution,[],[f1599,f407]) ).

fof(f407,plain,
    ( ! [X91] :
        ( ~ c3_1(X91)
        | ~ c1_1(X91)
        | c0_1(X91) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f1760,plain,
    ( spl0_120
    | spl0_125
    | ~ spl0_36
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1759,f648,f371,f820,f791]) ).

fof(f371,plain,
    ( spl0_36
  <=> ! [X115] :
        ( ~ c1_1(X115)
        | c2_1(X115)
        | c3_1(X115) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1759,plain,
    ( c2_1(a259)
    | c3_1(a259)
    | ~ spl0_36
    | ~ spl0_94 ),
    inference(resolution,[],[f650,f372]) ).

fof(f372,plain,
    ( ! [X115] :
        ( ~ c1_1(X115)
        | c2_1(X115)
        | c3_1(X115) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f1687,plain,
    ( spl0_89
    | spl0_185
    | ~ spl0_73
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1670,f695,f538,f1684,f624]) ).

fof(f538,plain,
    ( spl0_73
  <=> ! [X7] :
        ( c0_1(X7)
        | c3_1(X7)
        | c2_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1670,plain,
    ( c2_1(a263)
    | c0_1(a263)
    | ~ spl0_73
    | spl0_103 ),
    inference(resolution,[],[f539,f697]) ).

fof(f539,plain,
    ( ! [X7] :
        ( c3_1(X7)
        | c2_1(X7)
        | c0_1(X7) )
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f1647,plain,
    ( spl0_182
    | ~ spl0_91
    | ~ spl0_41
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1646,f838,f393,f633,f1530]) ).

fof(f633,plain,
    ( spl0_91
  <=> c0_1(a246) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1646,plain,
    ( ~ c0_1(a246)
    | c1_1(a246)
    | ~ spl0_41
    | ~ spl0_128 ),
    inference(resolution,[],[f394,f840]) ).

fof(f1612,plain,
    ( spl0_79
    | ~ spl0_175
    | ~ spl0_62
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1572,f762,f485,f1199,f570]) ).

fof(f570,plain,
    ( spl0_79
  <=> c2_1(a249) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1199,plain,
    ( spl0_175
  <=> c1_1(a249) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f485,plain,
    ( spl0_62
  <=> ! [X35] :
        ( ~ c1_1(X35)
        | ~ c3_1(X35)
        | c2_1(X35) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f762,plain,
    ( spl0_115
  <=> c3_1(a249) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1572,plain,
    ( ~ c1_1(a249)
    | c2_1(a249)
    | ~ spl0_62
    | ~ spl0_115 ),
    inference(resolution,[],[f486,f764]) ).

fof(f764,plain,
    ( c3_1(a249)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f486,plain,
    ( ! [X35] :
        ( ~ c3_1(X35)
        | c2_1(X35)
        | ~ c1_1(X35) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f1602,plain,
    ( ~ spl0_108
    | spl0_31
    | ~ spl0_70
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1591,f669,f521,f348,f723]) ).

fof(f723,plain,
    ( spl0_108
  <=> c1_1(a294) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f348,plain,
    ( spl0_31
  <=> c3_1(a294) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f521,plain,
    ( spl0_70
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f669,plain,
    ( spl0_98
  <=> c2_1(a294) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1591,plain,
    ( c3_1(a294)
    | ~ c1_1(a294)
    | ~ spl0_70
    | ~ spl0_98 ),
    inference(resolution,[],[f522,f671]) ).

fof(f671,plain,
    ( c2_1(a294)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f522,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | ~ c1_1(X2)
        | c3_1(X2) )
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f1600,plain,
    ( ~ spl0_137
    | spl0_183
    | ~ spl0_70
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1586,f880,f521,f1597,f885]) ).

fof(f1586,plain,
    ( c3_1(a265)
    | ~ c1_1(a265)
    | ~ spl0_70
    | ~ spl0_136 ),
    inference(resolution,[],[f522,f882]) ).

fof(f882,plain,
    ( c2_1(a265)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f1559,plain,
    ( spl0_79
    | spl0_175
    | ~ spl0_35
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1554,f762,f368,f1199,f570]) ).

fof(f368,plain,
    ( spl0_35
  <=> ! [X116] :
        ( ~ c3_1(X116)
        | c1_1(X116)
        | c2_1(X116) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1554,plain,
    ( c1_1(a249)
    | c2_1(a249)
    | ~ spl0_35
    | ~ spl0_115 ),
    inference(resolution,[],[f369,f764]) ).

fof(f369,plain,
    ( ! [X116] :
        ( ~ c3_1(X116)
        | c2_1(X116)
        | c1_1(X116) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f1533,plain,
    ( ~ spl0_182
    | ~ spl0_91
    | ~ spl0_61
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1528,f838,f482,f633,f1530]) ).

fof(f482,plain,
    ( spl0_61
  <=> ! [X36] :
        ( ~ c3_1(X36)
        | ~ c0_1(X36)
        | ~ c1_1(X36) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1528,plain,
    ( ~ c0_1(a246)
    | ~ c1_1(a246)
    | ~ spl0_61
    | ~ spl0_128 ),
    inference(resolution,[],[f840,f483]) ).

fof(f483,plain,
    ( ! [X36] :
        ( ~ c3_1(X36)
        | ~ c0_1(X36)
        | ~ c1_1(X36) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f1507,plain,
    ( spl0_118
    | spl0_122
    | ~ spl0_36
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f1405,f1372,f371,f802,f781]) ).

fof(f781,plain,
    ( spl0_118
  <=> c3_1(a238) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f802,plain,
    ( spl0_122
  <=> c2_1(a238) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1372,plain,
    ( spl0_180
  <=> c1_1(a238) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f1405,plain,
    ( c2_1(a238)
    | c3_1(a238)
    | ~ spl0_36
    | ~ spl0_180 ),
    inference(resolution,[],[f1374,f372]) ).

fof(f1374,plain,
    ( c1_1(a238)
    | ~ spl0_180 ),
    inference(avatar_component_clause,[],[f1372]) ).

fof(f1506,plain,
    ( spl0_79
    | spl0_175
    | ~ spl0_57
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1338,f711,f465,f1199,f570]) ).

fof(f711,plain,
    ( spl0_106
  <=> c0_1(a249) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1338,plain,
    ( c1_1(a249)
    | c2_1(a249)
    | ~ spl0_57
    | ~ spl0_106 ),
    inference(resolution,[],[f466,f713]) ).

fof(f713,plain,
    ( c0_1(a249)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f1500,plain,
    ( spl0_141
    | spl0_134
    | ~ spl0_39
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1494,f768,f384,f868,f904]) ).

fof(f904,plain,
    ( spl0_141
  <=> c1_1(a248) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f868,plain,
    ( spl0_134
  <=> c0_1(a248) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f384,plain,
    ( spl0_39
  <=> ! [X26] :
        ( ~ c3_1(X26)
        | c0_1(X26)
        | c1_1(X26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f768,plain,
    ( spl0_116
  <=> c3_1(a248) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1494,plain,
    ( c0_1(a248)
    | c1_1(a248)
    | ~ spl0_39
    | ~ spl0_116 ),
    inference(resolution,[],[f385,f770]) ).

fof(f770,plain,
    ( c3_1(a248)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f385,plain,
    ( ! [X26] :
        ( ~ c3_1(X26)
        | c0_1(X26)
        | c1_1(X26) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f1445,plain,
    ( spl0_13
    | spl0_131
    | ~ spl0_63
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1435,f517,f489,f853,f268]) ).

fof(f268,plain,
    ( spl0_13
  <=> c0_1(a253) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f853,plain,
    ( spl0_131
  <=> c3_1(a253) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f489,plain,
    ( spl0_63
  <=> c1_1(a253) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1435,plain,
    ( c3_1(a253)
    | c0_1(a253)
    | ~ spl0_63
    | ~ spl0_69 ),
    inference(resolution,[],[f518,f491]) ).

fof(f491,plain,
    ( c1_1(a253)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f1399,plain,
    ( ~ spl0_72
    | spl0_165
    | ~ spl0_45
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1397,f605,f406,f1071,f533]) ).

fof(f533,plain,
    ( spl0_72
  <=> c1_1(a240) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1071,plain,
    ( spl0_165
  <=> c0_1(a240) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f605,plain,
    ( spl0_85
  <=> c3_1(a240) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1397,plain,
    ( c0_1(a240)
    | ~ c1_1(a240)
    | ~ spl0_45
    | ~ spl0_85 ),
    inference(resolution,[],[f407,f607]) ).

fof(f607,plain,
    ( c3_1(a240)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f1386,plain,
    ( ~ spl0_180
    | spl0_122
    | ~ spl0_7
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1378,f1028,f241,f802,f1372]) ).

fof(f1028,plain,
    ( spl0_160
  <=> c0_1(a238) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1378,plain,
    ( c2_1(a238)
    | ~ c1_1(a238)
    | ~ spl0_7
    | ~ spl0_160 ),
    inference(resolution,[],[f242,f1030]) ).

fof(f1030,plain,
    ( c0_1(a238)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1028]) ).

fof(f1376,plain,
    ( spl0_122
    | spl0_180
    | ~ spl0_57
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1369,f1028,f465,f1372,f802]) ).

fof(f1369,plain,
    ( c1_1(a238)
    | c2_1(a238)
    | ~ spl0_57
    | ~ spl0_160 ),
    inference(resolution,[],[f1030,f466]) ).

fof(f1375,plain,
    ( spl0_118
    | spl0_180
    | ~ spl0_43
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1370,f1028,f399,f1372,f781]) ).

fof(f399,plain,
    ( spl0_43
  <=> ! [X34] :
        ( c1_1(X34)
        | c3_1(X34)
        | ~ c0_1(X34) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1370,plain,
    ( c1_1(a238)
    | c3_1(a238)
    | ~ spl0_43
    | ~ spl0_160 ),
    inference(resolution,[],[f1030,f400]) ).

fof(f400,plain,
    ( ! [X34] :
        ( ~ c0_1(X34)
        | c3_1(X34)
        | c1_1(X34) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f399]) ).

fof(f1363,plain,
    ( ~ spl0_175
    | ~ spl0_106
    | ~ spl0_61
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1350,f762,f482,f711,f1199]) ).

fof(f1350,plain,
    ( ~ c0_1(a249)
    | ~ c1_1(a249)
    | ~ spl0_61
    | ~ spl0_115 ),
    inference(resolution,[],[f483,f764]) ).

fof(f1360,plain,
    ( ~ spl0_102
    | ~ spl0_107
    | ~ spl0_61
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f1353,f1266,f482,f716,f689]) ).

fof(f1266,plain,
    ( spl0_178
  <=> c3_1(a271) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f1353,plain,
    ( ~ c0_1(a271)
    | ~ c1_1(a271)
    | ~ spl0_61
    | ~ spl0_178 ),
    inference(resolution,[],[f483,f1268]) ).

fof(f1268,plain,
    ( c3_1(a271)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f1266]) ).

fof(f1359,plain,
    ( ~ spl0_165
    | ~ spl0_72
    | ~ spl0_61
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1357,f605,f482,f533,f1071]) ).

fof(f1357,plain,
    ( ~ c1_1(a240)
    | ~ c0_1(a240)
    | ~ spl0_61
    | ~ spl0_85 ),
    inference(resolution,[],[f483,f607]) ).

fof(f1335,plain,
    ( spl0_54
    | spl0_82
    | ~ spl0_52
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1322,f1012,f439,f589,f448]) ).

fof(f448,plain,
    ( spl0_54
  <=> c3_1(a251) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f589,plain,
    ( spl0_82
  <=> c1_1(a251) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f439,plain,
    ( spl0_52
  <=> ! [X24] :
        ( c3_1(X24)
        | c1_1(X24)
        | ~ c2_1(X24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1012,plain,
    ( spl0_158
  <=> c2_1(a251) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f1322,plain,
    ( c1_1(a251)
    | c3_1(a251)
    | ~ spl0_52
    | ~ spl0_158 ),
    inference(resolution,[],[f440,f1014]) ).

fof(f1014,plain,
    ( c2_1(a251)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1012]) ).

fof(f440,plain,
    ( ! [X24] :
        ( ~ c2_1(X24)
        | c3_1(X24)
        | c1_1(X24) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f1318,plain,
    ( spl0_132
    | ~ spl0_59
    | ~ spl0_45
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1302,f994,f406,f473,f858]) ).

fof(f858,plain,
    ( spl0_132
  <=> c0_1(a236) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f473,plain,
    ( spl0_59
  <=> c1_1(a236) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f994,plain,
    ( spl0_155
  <=> c3_1(a236) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1302,plain,
    ( ~ c1_1(a236)
    | c0_1(a236)
    | ~ spl0_45
    | ~ spl0_155 ),
    inference(resolution,[],[f407,f996]) ).

fof(f996,plain,
    ( c3_1(a236)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f994]) ).

fof(f1316,plain,
    ( ~ spl0_168
    | spl0_159
    | ~ spl0_45
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1304,f1005,f406,f1018,f1091]) ).

fof(f1304,plain,
    ( c0_1(a241)
    | ~ c1_1(a241)
    | ~ spl0_45
    | ~ spl0_157 ),
    inference(resolution,[],[f407,f1007]) ).

fof(f1295,plain,
    ( ~ spl0_72
    | ~ spl0_65
    | ~ spl0_44
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1291,f605,f403,f499,f533]) ).

fof(f499,plain,
    ( spl0_65
  <=> c2_1(a240) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1291,plain,
    ( ~ c2_1(a240)
    | ~ c1_1(a240)
    | ~ spl0_44
    | ~ spl0_85 ),
    inference(resolution,[],[f404,f607]) ).

fof(f1269,plain,
    ( spl0_178
    | spl0_66
    | ~ spl0_36
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1259,f689,f371,f504,f1266]) ).

fof(f1259,plain,
    ( c2_1(a271)
    | c3_1(a271)
    | ~ spl0_36
    | ~ spl0_102 ),
    inference(resolution,[],[f372,f691]) ).

fof(f691,plain,
    ( c1_1(a271)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f1247,plain,
    ( spl0_99
    | spl0_143
    | ~ spl0_35
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f1236,f388,f368,f920,f674]) ).

fof(f1236,plain,
    ( c2_1(a239)
    | c1_1(a239)
    | ~ spl0_35
    | ~ spl0_40 ),
    inference(resolution,[],[f369,f390]) ).

fof(f1219,plain,
    ( ~ spl0_106
    | spl0_79
    | ~ spl0_42
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1214,f762,f396,f570,f711]) ).

fof(f1214,plain,
    ( c2_1(a249)
    | ~ c0_1(a249)
    | ~ spl0_42
    | ~ spl0_115 ),
    inference(resolution,[],[f397,f764]) ).

fof(f1202,plain,
    ( ~ spl0_106
    | spl0_175
    | ~ spl0_41
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1191,f762,f393,f1199,f711]) ).

fof(f1191,plain,
    ( c1_1(a249)
    | ~ c0_1(a249)
    | ~ spl0_41
    | ~ spl0_115 ),
    inference(resolution,[],[f394,f764]) ).

fof(f1197,plain,
    ( spl0_99
    | ~ spl0_161
    | ~ spl0_40
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f1188,f393,f388,f1035,f674]) ).

fof(f1188,plain,
    ( ~ c0_1(a239)
    | c1_1(a239)
    | ~ spl0_40
    | ~ spl0_41 ),
    inference(resolution,[],[f394,f390]) ).

fof(f1145,plain,
    ( spl0_88
    | spl0_139
    | ~ spl0_43
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1133,f1000,f399,f894,f619]) ).

fof(f619,plain,
    ( spl0_88
  <=> c1_1(a252) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f894,plain,
    ( spl0_139
  <=> c3_1(a252) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1000,plain,
    ( spl0_156
  <=> c0_1(a252) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f1133,plain,
    ( c3_1(a252)
    | c1_1(a252)
    | ~ spl0_43
    | ~ spl0_156 ),
    inference(resolution,[],[f400,f1002]) ).

fof(f1002,plain,
    ( c0_1(a252)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1000]) ).

fof(f1124,plain,
    ( ~ spl0_166
    | spl0_117
    | ~ spl0_41
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1119,f706,f393,f774,f1076]) ).

fof(f706,plain,
    ( spl0_105
  <=> c3_1(a257) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1119,plain,
    ( c1_1(a257)
    | ~ c0_1(a257)
    | ~ spl0_41
    | ~ spl0_105 ),
    inference(resolution,[],[f394,f708]) ).

fof(f708,plain,
    ( c3_1(a257)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f1088,plain,
    ( ~ spl0_47
    | spl0_159
    | ~ spl0_25
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1087,f1005,f323,f1018,f415]) ).

fof(f323,plain,
    ( spl0_25
  <=> ! [X87] :
        ( ~ c2_1(X87)
        | ~ c3_1(X87)
        | c0_1(X87) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f1087,plain,
    ( c0_1(a241)
    | ~ c2_1(a241)
    | ~ spl0_25
    | ~ spl0_157 ),
    inference(resolution,[],[f1007,f324]) ).

fof(f324,plain,
    ( ! [X87] :
        ( ~ c3_1(X87)
        | ~ c2_1(X87)
        | c0_1(X87) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f1086,plain,
    ( spl0_134
    | spl0_141
    | ~ spl0_6
    | spl0_167 ),
    inference(avatar_split_clause,[],[f1085,f1081,f238,f904,f868]) ).

fof(f1081,plain,
    ( spl0_167
  <=> c2_1(a248) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f1085,plain,
    ( c1_1(a248)
    | c0_1(a248)
    | ~ spl0_6
    | spl0_167 ),
    inference(resolution,[],[f1083,f239]) ).

fof(f239,plain,
    ( ! [X10] :
        ( c2_1(X10)
        | c1_1(X10)
        | c0_1(X10) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f1083,plain,
    ( ~ c2_1(a248)
    | spl0_167 ),
    inference(avatar_component_clause,[],[f1081]) ).

fof(f1084,plain,
    ( spl0_134
    | ~ spl0_167
    | ~ spl0_25
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1064,f768,f323,f1081,f868]) ).

fof(f1064,plain,
    ( ~ c2_1(a248)
    | c0_1(a248)
    | ~ spl0_25
    | ~ spl0_116 ),
    inference(resolution,[],[f324,f770]) ).

fof(f1074,plain,
    ( spl0_165
    | ~ spl0_65
    | ~ spl0_25
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1069,f605,f323,f499,f1071]) ).

fof(f1069,plain,
    ( ~ c2_1(a240)
    | c0_1(a240)
    | ~ spl0_25
    | ~ spl0_85 ),
    inference(resolution,[],[f324,f607]) ).

fof(f1038,plain,
    ( spl0_161
    | spl0_99
    | ~ spl0_6
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1033,f920,f238,f674,f1035]) ).

fof(f1033,plain,
    ( c1_1(a239)
    | c0_1(a239)
    | ~ spl0_6
    | spl0_143 ),
    inference(resolution,[],[f239,f922]) ).

fof(f922,plain,
    ( ~ c2_1(a239)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f920]) ).

fof(f1031,plain,
    ( spl0_160
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f86,f599,f1028]) ).

fof(f599,plain,
    ( spl0_84
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f86,plain,
    ( ~ hskp3
    | c0_1(a238) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( ! [X49] :
          ( c0_1(X49)
          | ~ ndr1_0
          | c3_1(X49)
          | ~ c1_1(X49) )
      | ! [X47] :
          ( c2_1(X47)
          | c1_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0
          | ~ c1_1(X48) ) )
    & ( hskp4
      | ! [X60] :
          ( ~ c2_1(X60)
          | c0_1(X60)
          | ~ ndr1_0
          | c3_1(X60) )
      | hskp28 )
    & ( hskp8
      | hskp13
      | hskp11 )
    & ( hskp11
      | hskp18
      | hskp19 )
    & ( hskp15
      | ! [X111] :
          ( ~ ndr1_0
          | c0_1(X111)
          | ~ c1_1(X111)
          | c2_1(X111) )
      | ! [X112] :
          ( ~ c3_1(X112)
          | ~ ndr1_0
          | c1_1(X112)
          | ~ c0_1(X112) ) )
    & ( hskp3
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c3_1(X78)
          | c1_1(X78)
          | ~ c0_1(X78) )
      | hskp12 )
    & ( ! [X20] :
          ( ~ c1_1(X20)
          | ~ c0_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | hskp19
      | hskp29 )
    & ( ~ hskp10
      | ( ~ c2_1(a249)
        & c3_1(a249)
        & c0_1(a249)
        & ndr1_0 ) )
    & ( ! [X68] :
          ( ~ c2_1(X68)
          | c1_1(X68)
          | ~ ndr1_0
          | c0_1(X68) )
      | hskp31 )
    & ( ( c0_1(a237)
        & c1_1(a237)
        & ndr1_0
        & c2_1(a237) )
      | ~ hskp28 )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c2_1(a238)
        & c0_1(a238)
        & ~ c3_1(a238) ) )
    & ( ( ndr1_0
        & c0_1(a252)
        & ~ c1_1(a252)
        & ~ c3_1(a252) )
      | ~ hskp12 )
    & ( ( c3_1(a239)
        & ndr1_0
        & ~ c2_1(a239)
        & ~ c1_1(a239) )
      | ~ hskp4 )
    & ( ! [X3] :
          ( ~ ndr1_0
          | c0_1(X3)
          | c3_1(X3)
          | c2_1(X3) )
      | hskp30
      | hskp9 )
    & ( ! [X75] :
          ( c1_1(X75)
          | c2_1(X75)
          | ~ ndr1_0
          | ~ c3_1(X75) )
      | ! [X76] :
          ( ~ c1_1(X76)
          | ~ ndr1_0
          | c2_1(X76)
          | c3_1(X76) )
      | ! [X74] :
          ( ~ c2_1(X74)
          | ~ c1_1(X74)
          | ~ ndr1_0
          | c3_1(X74) ) )
    & ( ! [X107] :
          ( c2_1(X107)
          | c3_1(X107)
          | ~ c1_1(X107)
          | ~ ndr1_0 )
      | hskp19
      | hskp15 )
    & ( hskp10
      | hskp5
      | ! [X73] :
          ( c1_1(X73)
          | ~ c3_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a246)
        & ndr1_0
        & c0_1(a246)
        & c3_1(a246) )
      | ~ hskp31 )
    & ( ( ~ c3_1(a263)
        & ~ c1_1(a263)
        & ~ c0_1(a263)
        & ndr1_0 )
      | ~ hskp17 )
    & ( hskp11
      | ! [X6] :
          ( c0_1(X6)
          | ~ c2_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X32] :
          ( ~ c3_1(X32)
          | ~ ndr1_0
          | ~ c0_1(X32)
          | c2_1(X32) )
      | ! [X34] :
          ( ~ c0_1(X34)
          | c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c3_1(X33)
          | ~ ndr1_0
          | c1_1(X33)
          | ~ c0_1(X33) ) )
    & ( ! [X109] :
          ( ~ ndr1_0
          | ~ c2_1(X109)
          | c3_1(X109)
          | ~ c0_1(X109) )
      | hskp8
      | ! [X110] :
          ( c0_1(X110)
          | c1_1(X110)
          | ~ ndr1_0
          | ~ c2_1(X110) ) )
    & ( ( ~ c1_1(a257)
        & c3_1(a257)
        & ndr1_0
        & c2_1(a257) )
      | ~ hskp14 )
    & ( hskp29
      | hskp17
      | ! [X108] :
          ( ~ c3_1(X108)
          | c2_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp31
      | hskp14
      | ! [X40] :
          ( ~ c3_1(X40)
          | c2_1(X40)
          | ~ ndr1_0
          | c0_1(X40) ) )
    & ( ~ hskp21
      | ( c0_1(a274)
        & ~ c3_1(a274)
        & c2_1(a274)
        & ndr1_0 ) )
    & ( ~ hskp7
      | ( ~ c2_1(a244)
        & c0_1(a244)
        & ~ c1_1(a244)
        & ndr1_0 ) )
    & ( ! [X22] :
          ( ~ c1_1(X22)
          | c3_1(X22)
          | ~ ndr1_0
          | c0_1(X22) )
      | ! [X21] :
          ( ~ c1_1(X21)
          | c2_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ ndr1_0
          | c0_1(X23)
          | c2_1(X23)
          | ~ c1_1(X23) ) )
    & ( hskp22
      | hskp2
      | hskp28 )
    & ( ( c3_1(a248)
        & ~ c0_1(a248)
        & ~ c1_1(a248)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ! [X91] :
          ( ~ c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0
          | ~ c3_1(X91) )
      | hskp11
      | ! [X90] :
          ( ~ c1_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0
          | ~ c2_1(X90) ) )
    & ( hskp25
      | hskp5
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c2_1(X37)
          | c1_1(X37)
          | ~ c3_1(X37) ) )
    & ( hskp13
      | hskp24
      | hskp23 )
    & ( hskp0
      | ! [X101] :
          ( c3_1(X101)
          | c2_1(X101)
          | ~ ndr1_0
          | c0_1(X101) )
      | ! [X100] :
          ( c2_1(X100)
          | ~ ndr1_0
          | c0_1(X100)
          | c1_1(X100) ) )
    & ( ( c3_1(a240)
        & c1_1(a240)
        & c2_1(a240)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ! [X54] :
          ( c2_1(X54)
          | ~ ndr1_0
          | ~ c3_1(X54)
          | c0_1(X54) )
      | hskp1
      | ! [X53] :
          ( c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0
          | c1_1(X53) ) )
    & ( ( ndr1_0
        & ~ c3_1(a294)
        & c2_1(a294)
        & c1_1(a294) )
      | ~ hskp25 )
    & ( ! [X4] :
          ( c1_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0
          | c3_1(X4) )
      | ! [X5] :
          ( ~ ndr1_0
          | c2_1(X5)
          | c1_1(X5)
          | c3_1(X5) )
      | hskp20 )
    & ( ! [X80] :
          ( c1_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0
          | c3_1(X80) )
      | ! [X81] :
          ( c0_1(X81)
          | c1_1(X81)
          | ~ ndr1_0
          | c3_1(X81) )
      | hskp30 )
    & ( hskp21
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c1_1(X89)
          | c0_1(X89)
          | ~ c3_1(X89) )
      | ! [X88] :
          ( c1_1(X88)
          | c2_1(X88)
          | ~ ndr1_0
          | c3_1(X88) ) )
    & ( ! [X18] :
          ( c2_1(X18)
          | c1_1(X18)
          | c0_1(X18)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c0_1(X16)
          | ~ ndr1_0
          | ~ c3_1(X16)
          | ~ c1_1(X16) )
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c1_1(X17)
          | c0_1(X17)
          | ~ c3_1(X17) ) )
    & ( hskp10
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c1_1(X44)
          | c0_1(X44)
          | c3_1(X44) )
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0
          | c0_1(X43) ) )
    & ( hskp18
      | hskp5
      | hskp22 )
    & ( ! [X77] :
          ( ~ ndr1_0
          | ~ c1_1(X77)
          | ~ c2_1(X77)
          | c0_1(X77) )
      | hskp13
      | hskp8 )
    & ( ~ hskp19
      | ( c3_1(a269)
        & ndr1_0
        & c0_1(a269)
        & ~ c1_1(a269) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a245)
        & ~ c1_1(a245)
        & c0_1(a245) ) )
    & ( hskp7
      | hskp15
      | hskp8 )
    & ( hskp5
      | ! [X38] :
          ( c1_1(X38)
          | c2_1(X38)
          | ~ ndr1_0
          | c0_1(X38) )
      | hskp29 )
    & ( ! [X19] :
          ( ~ c1_1(X19)
          | ~ ndr1_0
          | ~ c2_1(X19)
          | ~ c3_1(X19) )
      | hskp27
      | hskp24 )
    & ( ! [X82] :
          ( ~ c3_1(X82)
          | ~ ndr1_0
          | c2_1(X82)
          | ~ c1_1(X82) )
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c3_1(X83)
          | ~ c0_1(X83)
          | ~ c1_1(X83) )
      | ! [X84] :
          ( ~ c0_1(X84)
          | c2_1(X84)
          | c3_1(X84)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( ~ c3_1(X25)
          | c1_1(X25)
          | ~ c0_1(X25)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c2_1(X24)
          | ~ ndr1_0
          | c3_1(X24)
          | c1_1(X24) )
      | hskp25 )
    & ( ~ hskp27
      | ( ~ c1_1(a322)
        & ndr1_0
        & ~ c3_1(a322)
        & ~ c2_1(a322) ) )
    & ( ! [X13] :
          ( ~ ndr1_0
          | ~ c1_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13) )
      | hskp7
      | ! [X14] :
          ( ~ ndr1_0
          | c0_1(X14)
          | c3_1(X14)
          | c1_1(X14) ) )
    & ( ( c2_1(a251)
        & ~ c1_1(a251)
        & ndr1_0
        & ~ c3_1(a251) )
      | ~ hskp11 )
    & ( ( c2_1(a314)
        & ndr1_0
        & ~ c0_1(a314)
        & ~ c3_1(a314) )
      | ~ hskp26 )
    & ( hskp20
      | ! [X113] :
          ( ~ ndr1_0
          | ~ c2_1(X113)
          | c0_1(X113)
          | ~ c1_1(X113) )
      | ! [X114] :
          ( c3_1(X114)
          | ~ c2_1(X114)
          | ~ c0_1(X114)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a271)
        & ~ c2_1(a271)
        & ndr1_0
        & c0_1(a271) )
      | ~ hskp20 )
    & ( ~ hskp5
      | ( ndr1_0
        & c3_1(a241)
        & c2_1(a241)
        & ~ c0_1(a241) ) )
    & ( hskp18
      | hskp22
      | ! [X92] :
          ( ~ ndr1_0
          | c0_1(X92)
          | ~ c3_1(X92)
          | ~ c1_1(X92) ) )
    & ( ! [X102] :
          ( ~ c1_1(X102)
          | ~ ndr1_0
          | c3_1(X102)
          | c2_1(X102) )
      | hskp20
      | hskp2 )
    & ( ! [X8] :
          ( ~ c3_1(X8)
          | c0_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c3_1(X7)
          | ~ ndr1_0
          | c2_1(X7)
          | c0_1(X7) )
      | hskp11 )
    & ( hskp13
      | hskp24
      | hskp8 )
    & ( hskp4
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c1_1(X95)
          | c3_1(X95)
          | c2_1(X95) )
      | hskp31 )
    & ( hskp9
      | hskp19
      | hskp8 )
    & ( hskp7
      | ! [X64] :
          ( ~ c1_1(X64)
          | c2_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c1_1(X63)
          | ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c2_1(X63) ) )
    & ( ! [X86] :
          ( ~ c3_1(X86)
          | c1_1(X86)
          | ~ ndr1_0
          | c2_1(X86) )
      | hskp18
      | ! [X85] :
          ( ~ c0_1(X85)
          | c1_1(X85)
          | c2_1(X85)
          | ~ ndr1_0 ) )
    & ( ! [X29] :
          ( c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0
          | ~ c2_1(X29) )
      | hskp10 )
    & ( ( ~ c0_1(a253)
        & c1_1(a253)
        & ~ c3_1(a253)
        & ndr1_0 )
      | ~ hskp13 )
    & ( hskp5
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c2_1(X41)
          | ~ c0_1(X41)
          | c3_1(X41) )
      | ! [X42] :
          ( ~ c2_1(X42)
          | c1_1(X42)
          | c3_1(X42)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( ~ ndr1_0
          | ~ c3_1(X61)
          | c2_1(X61)
          | c0_1(X61) )
      | hskp16
      | ! [X62] :
          ( c3_1(X62)
          | ~ ndr1_0
          | ~ c2_1(X62)
          | ~ c1_1(X62) ) )
    & ( ! [X9] :
          ( ~ ndr1_0
          | ~ c1_1(X9)
          | c2_1(X9)
          | ~ c0_1(X9) )
      | ! [X10] :
          ( c2_1(X10)
          | ~ ndr1_0
          | c1_1(X10)
          | c0_1(X10) )
      | hskp2 )
    & ( hskp4
      | ! [X55] :
          ( ~ c0_1(X55)
          | ~ c3_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c0_1(X56)
          | ~ ndr1_0
          | ~ c3_1(X56)
          | ~ c1_1(X56) ) )
    & ( ! [X106] :
          ( c2_1(X106)
          | ~ ndr1_0
          | ~ c0_1(X106)
          | c1_1(X106) )
      | hskp16
      | hskp11 )
    & ( ( ~ c3_1(a276)
        & ndr1_0
        & c0_1(a276)
        & c1_1(a276) )
      | ~ hskp22 )
    & ( ~ hskp2
      | ( ndr1_0
        & c3_1(a236)
        & c1_1(a236)
        & ~ c0_1(a236) ) )
    & ( hskp24
      | ! [X51] :
          ( ~ c2_1(X51)
          | ~ c3_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 )
      | hskp23 )
    & ( hskp14
      | hskp13
      | hskp2 )
    & ( ! [X70] :
          ( ~ ndr1_0
          | ~ c2_1(X70)
          | c0_1(X70)
          | ~ c3_1(X70) )
      | ! [X69] :
          ( ~ c1_1(X69)
          | ~ c0_1(X69)
          | c2_1(X69)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X52] :
          ( ~ ndr1_0
          | c0_1(X52)
          | c1_1(X52)
          | ~ c2_1(X52) )
      | hskp9
      | hskp31 )
    & ( hskp19
      | ! [X103] :
          ( ~ ndr1_0
          | c3_1(X103)
          | c0_1(X103)
          | ~ c2_1(X103) )
      | hskp16 )
    & ( hskp19
      | ! [X87] :
          ( ~ c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0
          | ~ c3_1(X87) )
      | hskp17 )
    & ( ( ndr1_0
        & ~ c2_1(a282)
        & c3_1(a282)
        & ~ c0_1(a282) )
      | ~ hskp24 )
    & ( hskp9
      | hskp17
      | ! [X59] :
          ( c1_1(X59)
          | c3_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X58] :
          ( ~ c1_1(X58)
          | ~ ndr1_0
          | ~ c0_1(X58)
          | ~ c2_1(X58) )
      | ! [X57] :
          ( c3_1(X57)
          | c2_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ( ~ c2_1(a235)
        & ~ c0_1(a235)
        & ndr1_0
        & ~ c1_1(a235) )
      | ~ hskp1 )
    & ( hskp20
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c1_1(X12)
          | c2_1(X12)
          | ~ ndr1_0
          | c3_1(X12) ) )
    & ( hskp9
      | hskp5
      | hskp11 )
    & ( hskp21
      | hskp31
      | ! [X15] :
          ( ~ ndr1_0
          | c3_1(X15)
          | ~ c2_1(X15)
          | ~ c1_1(X15) ) )
    & ( ! [X105] :
          ( ~ c3_1(X105)
          | ~ ndr1_0
          | ~ c1_1(X105)
          | ~ c2_1(X105) )
      | ! [X104] :
          ( c1_1(X104)
          | ~ ndr1_0
          | c0_1(X104)
          | c2_1(X104) )
      | hskp4 )
    & ( ! [X36] :
          ( ~ c0_1(X36)
          | ~ c1_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | hskp26
      | ! [X35] :
          ( c2_1(X35)
          | ~ ndr1_0
          | ~ c1_1(X35)
          | ~ c3_1(X35) ) )
    & ( ~ hskp18
      | ( c2_1(a265)
        & c1_1(a265)
        & ndr1_0
        & ~ c0_1(a265) ) )
    & ( ~ hskp16
      | ( c1_1(a259)
        & ~ c3_1(a259)
        & ndr1_0
        & ~ c2_1(a259) ) )
    & ( hskp7
      | ! [X96] :
          ( c3_1(X96)
          | ~ c0_1(X96)
          | ~ ndr1_0
          | c2_1(X96) )
      | hskp22 )
    & ( ~ hskp23
      | ( c3_1(a281)
        & ndr1_0
        & ~ c2_1(a281)
        & c1_1(a281) ) )
    & ( ! [X67] :
          ( ~ c0_1(X67)
          | c1_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c1_1(X66)
          | c2_1(X66)
          | ~ ndr1_0
          | c3_1(X66) )
      | ! [X65] :
          ( c2_1(X65)
          | c1_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X93] :
          ( c2_1(X93)
          | ~ ndr1_0
          | c1_1(X93)
          | c0_1(X93) )
      | hskp28
      | ! [X94] :
          ( ~ c1_1(X94)
          | ~ c0_1(X94)
          | ~ ndr1_0
          | ~ c3_1(X94) ) )
    & ( ! [X72] :
          ( c2_1(X72)
          | ~ ndr1_0
          | c1_1(X72)
          | c0_1(X72) )
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0
          | ~ c1_1(X71) )
      | hskp3 )
    & ( hskp18
      | ! [X79] :
          ( ~ ndr1_0
          | c3_1(X79)
          | ~ c1_1(X79)
          | c0_1(X79) )
      | hskp9 )
    & ( ~ hskp0
      | ( ~ c2_1(a234)
        & c1_1(a234)
        & ndr1_0
        & ~ c0_1(a234) ) )
    & ( ( c3_1(a243)
        & ndr1_0
        & c0_1(a243)
        & c1_1(a243) )
      | ~ hskp30 )
    & ( hskp11
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ ndr1_0
          | ~ c1_1(X2)
          | c3_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c3_1(X1)
          | c2_1(X1)
          | c1_1(X1) ) )
    & ( ! [X30] :
          ( c1_1(X30)
          | c2_1(X30)
          | ~ ndr1_0
          | c3_1(X30) )
      | hskp6
      | ! [X31] :
          ( c3_1(X31)
          | c1_1(X31)
          | ~ ndr1_0
          | c0_1(X31) ) )
    & ( ( ~ c0_1(a242)
        & c2_1(a242)
        & ~ c1_1(a242)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ~ hskp15
      | ( ~ c0_1(a258)
        & ~ c2_1(a258)
        & ndr1_0
        & ~ c3_1(a258) ) )
    & ( hskp10
      | ! [X115] :
          ( c3_1(X115)
          | ~ c1_1(X115)
          | ~ ndr1_0
          | c2_1(X115) )
      | ! [X116] :
          ( c2_1(X116)
          | ~ ndr1_0
          | ~ c3_1(X116)
          | c1_1(X116) ) )
    & ( hskp4
      | ! [X39] :
          ( ~ c0_1(X39)
          | ~ c1_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( ~ c1_1(X46)
          | c0_1(X46)
          | ~ ndr1_0
          | c2_1(X46) )
      | ! [X45] :
          ( ~ c1_1(X45)
          | c3_1(X45)
          | ~ ndr1_0
          | c0_1(X45) )
      | hskp14 )
    & ( ! [X97] :
          ( ~ c0_1(X97)
          | ~ ndr1_0
          | ~ c3_1(X97)
          | c2_1(X97) )
      | ! [X99] :
          ( c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0
          | c0_1(X99) )
      | ! [X98] :
          ( c0_1(X98)
          | c2_1(X98)
          | c3_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X26] :
          ( c1_1(X26)
          | c0_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | hskp13 )
    & ( hskp11
      | hskp7
      | ! [X0] :
          ( c1_1(X0)
          | ~ ndr1_0
          | c0_1(X0)
          | ~ c2_1(X0) ) )
    & ( hskp29
      | ! [X50] :
          ( ~ c0_1(X50)
          | c3_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X28] :
          ( ~ c3_1(X28)
          | c2_1(X28)
          | ~ ndr1_0
          | c1_1(X28) )
      | ! [X27] :
          ( c2_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0
          | ~ c1_1(X27) ) ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( ! [X68] :
          ( ~ c2_1(X68)
          | c0_1(X68)
          | c1_1(X68)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X112] :
          ( ~ c3_1(X112)
          | ~ c0_1(X112)
          | c1_1(X112)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c1_1(X111)
          | c2_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X48] :
          ( c2_1(X48)
          | ~ c3_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c1_1(X49)
          | c3_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c2_1(X47)
          | c1_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp16
      | ! [X103] :
          ( c3_1(X103)
          | ~ c2_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X26] :
          ( c0_1(X26)
          | c1_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp4
      | ! [X60] :
          ( c3_1(X60)
          | c0_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp25
      | ! [X37] :
          ( c1_1(X37)
          | ~ c2_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 ) )
    & ( ! [X54] :
          ( ~ c3_1(X54)
          | c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 )
      | hskp1
      | ! [X53] :
          ( c2_1(X53)
          | c0_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 ) )
    & ( ( c0_1(a237)
        & c1_1(a237)
        & ndr1_0
        & c2_1(a237) )
      | ~ hskp28 )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c2_1(a238)
        & c0_1(a238)
        & ~ c3_1(a238) ) )
    & ( ! [X39] :
          ( ~ c1_1(X39)
          | ~ c0_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X11] :
          ( ~ c0_1(X11)
          | c2_1(X11)
          | ~ c3_1(X11)
          | ~ ndr1_0 )
      | hskp20
      | ! [X12] :
          ( c3_1(X12)
          | c2_1(X12)
          | ~ c1_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp13
      | hskp2 )
    & ( ~ hskp10
      | ( ~ c2_1(a249)
        & c3_1(a249)
        & c0_1(a249)
        & ndr1_0 ) )
    & ( hskp18
      | hskp5
      | hskp22 )
    & ( hskp11
      | ! [X0] :
          ( ~ c2_1(X0)
          | c0_1(X0)
          | c1_1(X0)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X58] :
          ( ~ c0_1(X58)
          | ~ c2_1(X58)
          | ~ c1_1(X58)
          | ~ ndr1_0 )
      | hskp4
      | ! [X57] :
          ( c3_1(X57)
          | c1_1(X57)
          | c2_1(X57)
          | ~ ndr1_0 ) )
    & ( ! [X16] :
          ( ~ c3_1(X16)
          | ~ c1_1(X16)
          | ~ c0_1(X16)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c0_1(X18)
          | c2_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c1_1(X17)
          | c0_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp18
      | hskp19 )
    & ( hskp9
      | hskp19
      | hskp8 )
    & ( ! [X23] :
          ( c2_1(X23)
          | ~ c1_1(X23)
          | c0_1(X23)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c3_1(X22)
          | ~ c1_1(X22)
          | c0_1(X22)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c2_1(X21)
          | ~ c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a239)
        & ndr1_0
        & ~ c2_1(a239)
        & ~ c1_1(a239) )
      | ~ hskp4 )
    & ( ~ hskp19
      | ( c3_1(a269)
        & ndr1_0
        & c0_1(a269)
        & ~ c1_1(a269) ) )
    & ( ! [X59] :
          ( c1_1(X59)
          | c3_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 )
      | hskp17
      | hskp9 )
    & ( ! [X100] :
          ( c2_1(X100)
          | c0_1(X100)
          | c1_1(X100)
          | ~ ndr1_0 )
      | hskp0
      | ! [X101] :
          ( c0_1(X101)
          | c2_1(X101)
          | c3_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( ~ c1_1(X82)
          | c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c3_1(X83)
          | ~ c1_1(X83)
          | ~ c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c2_1(X84)
          | ~ c0_1(X84)
          | c3_1(X84)
          | ~ ndr1_0 ) )
    & ( ~ hskp23
      | ( c3_1(a281)
        & ndr1_0
        & ~ c2_1(a281)
        & c1_1(a281) ) )
    & ( ! [X98] :
          ( c0_1(X98)
          | c3_1(X98)
          | c2_1(X98)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c2_1(X97)
          | ~ c3_1(X97)
          | ~ c0_1(X97)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c3_1(X99)
          | c0_1(X99)
          | c2_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X38] :
          ( c1_1(X38)
          | c0_1(X38)
          | c2_1(X38)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ~ hskp18
      | ( c2_1(a265)
        & c1_1(a265)
        & ndr1_0
        & ~ c0_1(a265) ) )
    & ( hskp29
      | ! [X27] :
          ( ~ c1_1(X27)
          | c2_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c2_1(X28)
          | ~ c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X71] :
          ( ~ c1_1(X71)
          | ~ c0_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c2_1(X72)
          | c1_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X92] :
          ( c0_1(X92)
          | ~ c3_1(X92)
          | ~ c1_1(X92)
          | ~ ndr1_0 )
      | hskp18 )
    & ( hskp29
      | ! [X50] :
          ( ~ c0_1(X50)
          | c3_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( ~ c0_1(X56)
          | ~ c1_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c0_1(X55)
          | ~ c3_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | hskp4 )
    & ( hskp22
      | ! [X96] :
          ( c3_1(X96)
          | c2_1(X96)
          | ~ c0_1(X96)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a245)
        & ~ c1_1(a245)
        & c0_1(a245) ) )
    & ( ~ hskp16
      | ( c1_1(a259)
        & ~ c3_1(a259)
        & ndr1_0
        & ~ c2_1(a259) ) )
    & ( ! [X94] :
          ( ~ c1_1(X94)
          | ~ c0_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c0_1(X93)
          | c1_1(X93)
          | c2_1(X93)
          | ~ ndr1_0 )
      | hskp28 )
    & ( hskp11
      | ! [X7] :
          ( c2_1(X7)
          | c3_1(X7)
          | c0_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c2_1(X8)
          | ~ c3_1(X8)
          | c0_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X20] :
          ( ~ c0_1(X20)
          | ~ c1_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ( ndr1_0
        & ~ c2_1(a282)
        & c3_1(a282)
        & ~ c0_1(a282) )
      | ~ hskp24 )
    & ( hskp26
      | ! [X36] :
          ( ~ c0_1(X36)
          | ~ c3_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c1_1(X35)
          | c2_1(X35)
          | ~ ndr1_0 ) )
    & ( ~ hskp0
      | ( ~ c2_1(a234)
        & c1_1(a234)
        & ndr1_0
        & ~ c0_1(a234) ) )
    & ( hskp13
      | hskp24
      | hskp8 )
    & ( ! [X107] :
          ( ~ c1_1(X107)
          | c3_1(X107)
          | c2_1(X107)
          | ~ ndr1_0 )
      | hskp15
      | hskp19 )
    & ( hskp30
      | ! [X3] :
          ( c2_1(X3)
          | c3_1(X3)
          | c0_1(X3)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ( ~ c3_1(a263)
        & ~ c1_1(a263)
        & ~ c0_1(a263)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ! [X85] :
          ( ~ c0_1(X85)
          | c1_1(X85)
          | c2_1(X85)
          | ~ ndr1_0 )
      | hskp18
      | ! [X86] :
          ( ~ c3_1(X86)
          | c2_1(X86)
          | c1_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X87] :
          ( ~ c2_1(X87)
          | c0_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp17 )
    & ( hskp8
      | hskp13
      | hskp11 )
    & ( ! [X108] :
          ( ~ c3_1(X108)
          | c2_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 )
      | hskp17
      | hskp29 )
    & ( hskp31
      | ! [X69] :
          ( ~ c1_1(X69)
          | c2_1(X69)
          | ~ c0_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c0_1(X70)
          | ~ c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp8
      | ! [X77] :
          ( ~ c1_1(X77)
          | ~ c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp24
      | hskp23 )
    & ( ( c3_1(a248)
        & ~ c0_1(a248)
        & ~ c1_1(a248)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ! [X79] :
          ( ~ c1_1(X79)
          | c3_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 )
      | hskp18
      | hskp9 )
    & ( ( ~ c1_1(a257)
        & c3_1(a257)
        & ndr1_0
        & c2_1(a257) )
      | ~ hskp14 )
    & ( ( c1_1(a271)
        & ~ c2_1(a271)
        & ndr1_0
        & c0_1(a271) )
      | ~ hskp20 )
    & ( ! [X90] :
          ( ~ c2_1(X90)
          | ~ c1_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c0_1(X91)
          | ~ c3_1(X91)
          | ~ c1_1(X91)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X75] :
          ( c2_1(X75)
          | ~ c3_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c3_1(X74)
          | ~ c2_1(X74)
          | ~ c1_1(X74)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c2_1(X76)
          | ~ c1_1(X76)
          | c3_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X2] :
          ( ~ c1_1(X2)
          | c3_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c2_1(X1)
          | ~ c3_1(X1)
          | c1_1(X1)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( ~ c1_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c2_1(X10)
          | c0_1(X10)
          | c1_1(X10)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ( c2_1(a314)
        & ndr1_0
        & ~ c0_1(a314)
        & ~ c3_1(a314) )
      | ~ hskp26 )
    & ( ! [X19] :
          ( ~ c1_1(X19)
          | ~ c2_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | hskp24
      | hskp27 )
    & ( ( ndr1_0
        & ~ c3_1(a294)
        & c2_1(a294)
        & c1_1(a294) )
      | ~ hskp25 )
    & ( hskp31
      | ! [X95] :
          ( c2_1(X95)
          | ~ c1_1(X95)
          | c3_1(X95)
          | ~ ndr1_0 )
      | hskp4 )
    & ( hskp25
      | ! [X24] :
          ( ~ c2_1(X24)
          | c3_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c0_1(X25)
          | ~ c3_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp12
      | ! [X78] :
          ( ~ c3_1(X78)
          | ~ c0_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp31
      | hskp9
      | ! [X52] :
          ( ~ c2_1(X52)
          | c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( c3_1(X42)
          | ~ c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 )
      | hskp5
      | ! [X41] :
          ( ~ c0_1(X41)
          | c3_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a251)
        & ~ c1_1(a251)
        & ndr1_0
        & ~ c3_1(a251) )
      | ~ hskp11 )
    & ( ! [X32] :
          ( c2_1(X32)
          | ~ c0_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c3_1(X33)
          | c1_1(X33)
          | ~ c0_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c1_1(X34)
          | c3_1(X34)
          | ~ c0_1(X34)
          | ~ ndr1_0 ) )
    & ( ~ hskp7
      | ( ~ c2_1(a244)
        & c0_1(a244)
        & ~ c1_1(a244)
        & ndr1_0 ) )
    & ( hskp20
      | ! [X114] :
          ( ~ c0_1(X114)
          | ~ c2_1(X114)
          | c3_1(X114)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c2_1(X113)
          | c0_1(X113)
          | ~ c1_1(X113)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( c0_1(X89)
          | ~ c1_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c1_1(X88)
          | c2_1(X88)
          | c3_1(X88)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ( ndr1_0
        & c0_1(a252)
        & ~ c1_1(a252)
        & ~ c3_1(a252) )
      | ~ hskp12 )
    & ( ! [X63] :
          ( c1_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c1_1(X64)
          | ~ c0_1(X64)
          | c2_1(X64)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X30] :
          ( c2_1(X30)
          | c1_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c3_1(X31)
          | c0_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X102] :
          ( c3_1(X102)
          | ~ c1_1(X102)
          | c2_1(X102)
          | ~ ndr1_0 )
      | hskp20
      | hskp2 )
    & ( ( ~ c0_1(a253)
        & c1_1(a253)
        & ~ c3_1(a253)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ~ hskp2
      | ( ndr1_0
        & c3_1(a236)
        & c1_1(a236)
        & ~ c0_1(a236) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c3_1(a241)
        & c2_1(a241)
        & ~ c0_1(a241) ) )
    & ( ~ hskp21
      | ( c0_1(a274)
        & ~ c3_1(a274)
        & c2_1(a274)
        & ndr1_0 ) )
    & ( ! [X105] :
          ( ~ c3_1(X105)
          | ~ c1_1(X105)
          | ~ c2_1(X105)
          | ~ ndr1_0 )
      | hskp4
      | ! [X104] :
          ( c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X40] :
          ( ~ c3_1(X40)
          | c2_1(X40)
          | c0_1(X40)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ~ hskp15
      | ( ~ c0_1(a258)
        & ~ c2_1(a258)
        & ndr1_0
        & ~ c3_1(a258) ) )
    & ( ! [X6] :
          ( ~ c2_1(X6)
          | ~ c3_1(X6)
          | c0_1(X6)
          | ~ ndr1_0 )
      | hskp11
      | hskp24 )
    & ( ! [X110] :
          ( c1_1(X110)
          | ~ c2_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 )
      | ! [X109] :
          ( ~ c2_1(X109)
          | c3_1(X109)
          | ~ c0_1(X109)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ( c3_1(a243)
        & ndr1_0
        & c0_1(a243)
        & c1_1(a243) )
      | ~ hskp30 )
    & ( ( c3_1(a240)
        & c1_1(a240)
        & c2_1(a240)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ! [X81] :
          ( c3_1(X81)
          | c1_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c1_1(X80)
          | c3_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 )
      | hskp30 )
    & ( hskp10
      | ! [X116] :
          ( ~ c3_1(X116)
          | c1_1(X116)
          | c2_1(X116)
          | ~ ndr1_0 )
      | ! [X115] :
          ( ~ c1_1(X115)
          | c2_1(X115)
          | c3_1(X115)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp15
      | hskp8 )
    & ( ! [X15] :
          ( ~ c1_1(X15)
          | ~ c2_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | hskp21
      | hskp31 )
    & ( hskp14
      | ! [X46] :
          ( c2_1(X46)
          | ~ c1_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c0_1(X45)
          | ~ c1_1(X45)
          | c3_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp5
      | hskp11 )
    & ( ( ~ c0_1(a242)
        & c2_1(a242)
        & ~ c1_1(a242)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a276)
        & ndr1_0
        & c0_1(a276)
        & c1_1(a276) )
      | ~ hskp22 )
    & ( hskp22
      | hskp2
      | hskp28 )
    & ( hskp16
      | hskp11
      | ! [X106] :
          ( c1_1(X106)
          | c2_1(X106)
          | ~ c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X73] :
          ( ~ c3_1(X73)
          | ~ c0_1(X73)
          | c1_1(X73)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X5] :
          ( c3_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c3_1(X4)
          | c1_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X14] :
          ( c3_1(X14)
          | c1_1(X14)
          | c0_1(X14)
          | ~ ndr1_0 )
      | hskp7
      | ! [X13] :
          ( ~ c0_1(X13)
          | ~ c1_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( c0_1(X44)
          | c3_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | hskp10
      | ! [X43] :
          ( ~ c3_1(X43)
          | c0_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0 ) )
    & ( ( ~ c2_1(a235)
        & ~ c0_1(a235)
        & ndr1_0
        & ~ c1_1(a235) )
      | ~ hskp1 )
    & ( hskp10
      | ! [X29] :
          ( c0_1(X29)
          | c1_1(X29)
          | ~ c2_1(X29)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a246)
        & ndr1_0
        & c0_1(a246)
        & c3_1(a246) )
      | ~ hskp31 )
    & ( ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 )
      | hskp24
      | hskp23 )
    & ( hskp16
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c1_1(X62)
          | c3_1(X62)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | c0_1(X61)
          | c2_1(X61)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( c2_1(X66)
          | c3_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c0_1(X65)
          | c1_1(X65)
          | c2_1(X65)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c1_1(X67)
          | ~ c0_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 ) )
    & ( ~ hskp27
      | ( ~ c1_1(a322)
        & ndr1_0
        & ~ c3_1(a322)
        & ~ c2_1(a322) ) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | c0_1(X68)
            | c1_1(X68) ) )
      | hskp31 )
    & ( ! [X112] :
          ( ndr1_0
         => ( ~ c3_1(X112)
            | ~ c0_1(X112)
            | c1_1(X112) ) )
      | ! [X111] :
          ( ndr1_0
         => ( ~ c1_1(X111)
            | c2_1(X111)
            | c0_1(X111) ) )
      | hskp15 )
    & ( ! [X48] :
          ( ndr1_0
         => ( c2_1(X48)
            | ~ c3_1(X48)
            | ~ c1_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c1_1(X49)
            | c3_1(X49)
            | c0_1(X49) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c2_1(X47)
            | c1_1(X47)
            | c0_1(X47) ) ) )
    & ( hskp19
      | hskp16
      | ! [X103] :
          ( ndr1_0
         => ( c3_1(X103)
            | ~ c2_1(X103)
            | c0_1(X103) ) ) )
    & ( hskp13
      | hskp12
      | ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | c1_1(X26)
            | ~ c3_1(X26) ) ) )
    & ( hskp28
      | hskp4
      | ! [X60] :
          ( ndr1_0
         => ( c3_1(X60)
            | c0_1(X60)
            | ~ c2_1(X60) ) ) )
    & ( hskp5
      | hskp25
      | ! [X37] :
          ( ndr1_0
         => ( c1_1(X37)
            | ~ c2_1(X37)
            | ~ c3_1(X37) ) ) )
    & ( ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | c2_1(X54)
            | c0_1(X54) ) )
      | hskp1
      | ! [X53] :
          ( ndr1_0
         => ( c2_1(X53)
            | c0_1(X53)
            | c1_1(X53) ) ) )
    & ( ( c0_1(a237)
        & c1_1(a237)
        & ndr1_0
        & c2_1(a237) )
      | ~ hskp28 )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c2_1(a238)
        & c0_1(a238)
        & ~ c3_1(a238) ) )
    & ( ! [X39] :
          ( ndr1_0
         => ( ~ c1_1(X39)
            | ~ c0_1(X39)
            | ~ c3_1(X39) ) )
      | hskp4 )
    & ( ! [X11] :
          ( ndr1_0
         => ( ~ c0_1(X11)
            | c2_1(X11)
            | ~ c3_1(X11) ) )
      | hskp20
      | ! [X12] :
          ( ndr1_0
         => ( c3_1(X12)
            | c2_1(X12)
            | ~ c1_1(X12) ) ) )
    & ( hskp14
      | hskp13
      | hskp2 )
    & ( ~ hskp10
      | ( ~ c2_1(a249)
        & c3_1(a249)
        & c0_1(a249)
        & ndr1_0 ) )
    & ( hskp18
      | hskp5
      | hskp22 )
    & ( hskp11
      | ! [X0] :
          ( ndr1_0
         => ( ~ c2_1(X0)
            | c0_1(X0)
            | c1_1(X0) ) )
      | hskp7 )
    & ( ! [X58] :
          ( ndr1_0
         => ( ~ c0_1(X58)
            | ~ c2_1(X58)
            | ~ c1_1(X58) ) )
      | hskp4
      | ! [X57] :
          ( ndr1_0
         => ( c3_1(X57)
            | c1_1(X57)
            | c2_1(X57) ) ) )
    & ( ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | ~ c1_1(X16)
            | ~ c0_1(X16) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c2_1(X18)
            | c1_1(X18) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c1_1(X17)
            | c0_1(X17)
            | ~ c3_1(X17) ) ) )
    & ( hskp11
      | hskp18
      | hskp19 )
    & ( hskp9
      | hskp19
      | hskp8 )
    & ( ! [X23] :
          ( ndr1_0
         => ( c2_1(X23)
            | ~ c1_1(X23)
            | c0_1(X23) ) )
      | ! [X22] :
          ( ndr1_0
         => ( c3_1(X22)
            | ~ c1_1(X22)
            | c0_1(X22) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c2_1(X21)
            | ~ c1_1(X21)
            | ~ c3_1(X21) ) ) )
    & ( ( c3_1(a239)
        & ndr1_0
        & ~ c2_1(a239)
        & ~ c1_1(a239) )
      | ~ hskp4 )
    & ( ~ hskp19
      | ( c3_1(a269)
        & ndr1_0
        & c0_1(a269)
        & ~ c1_1(a269) ) )
    & ( ! [X59] :
          ( ndr1_0
         => ( c1_1(X59)
            | c3_1(X59)
            | ~ c2_1(X59) ) )
      | hskp17
      | hskp9 )
    & ( ! [X100] :
          ( ndr1_0
         => ( c2_1(X100)
            | c0_1(X100)
            | c1_1(X100) ) )
      | hskp0
      | ! [X101] :
          ( ndr1_0
         => ( c0_1(X101)
            | c2_1(X101)
            | c3_1(X101) ) ) )
    & ( ! [X82] :
          ( ndr1_0
         => ( ~ c1_1(X82)
            | c2_1(X82)
            | ~ c3_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | ~ c1_1(X83)
            | ~ c0_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( c2_1(X84)
            | ~ c0_1(X84)
            | c3_1(X84) ) ) )
    & ( ~ hskp23
      | ( c3_1(a281)
        & ndr1_0
        & ~ c2_1(a281)
        & c1_1(a281) ) )
    & ( ! [X98] :
          ( ndr1_0
         => ( c0_1(X98)
            | c3_1(X98)
            | c2_1(X98) ) )
      | ! [X97] :
          ( ndr1_0
         => ( c2_1(X97)
            | ~ c3_1(X97)
            | ~ c0_1(X97) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | c0_1(X99)
            | c2_1(X99) ) ) )
    & ( hskp5
      | ! [X38] :
          ( ndr1_0
         => ( c1_1(X38)
            | c0_1(X38)
            | c2_1(X38) ) )
      | hskp29 )
    & ( ~ hskp18
      | ( c2_1(a265)
        & c1_1(a265)
        & ndr1_0
        & ~ c0_1(a265) ) )
    & ( hskp29
      | ! [X27] :
          ( ndr1_0
         => ( ~ c1_1(X27)
            | c2_1(X27)
            | ~ c3_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( c2_1(X28)
            | ~ c3_1(X28)
            | c1_1(X28) ) ) )
    & ( hskp3
      | ! [X71] :
          ( ndr1_0
         => ( ~ c1_1(X71)
            | ~ c0_1(X71)
            | ~ c3_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c2_1(X72)
            | c1_1(X72)
            | c0_1(X72) ) ) )
    & ( hskp22
      | ! [X92] :
          ( ndr1_0
         => ( c0_1(X92)
            | ~ c3_1(X92)
            | ~ c1_1(X92) ) )
      | hskp18 )
    & ( hskp29
      | ! [X50] :
          ( ndr1_0
         => ( ~ c0_1(X50)
            | c3_1(X50)
            | c1_1(X50) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( ~ c0_1(X56)
            | ~ c1_1(X56)
            | ~ c3_1(X56) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c0_1(X55)
            | ~ c3_1(X55)
            | ~ c2_1(X55) ) )
      | hskp4 )
    & ( hskp22
      | ! [X96] :
          ( ndr1_0
         => ( c3_1(X96)
            | c2_1(X96)
            | ~ c0_1(X96) ) )
      | hskp7 )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a245)
        & ~ c1_1(a245)
        & c0_1(a245) ) )
    & ( ~ hskp16
      | ( c1_1(a259)
        & ~ c3_1(a259)
        & ndr1_0
        & ~ c2_1(a259) ) )
    & ( ! [X94] :
          ( ndr1_0
         => ( ~ c1_1(X94)
            | ~ c0_1(X94)
            | ~ c3_1(X94) ) )
      | ! [X93] :
          ( ndr1_0
         => ( c0_1(X93)
            | c1_1(X93)
            | c2_1(X93) ) )
      | hskp28 )
    & ( hskp11
      | ! [X7] :
          ( ndr1_0
         => ( c2_1(X7)
            | c3_1(X7)
            | c0_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c2_1(X8)
            | ~ c3_1(X8)
            | c0_1(X8) ) ) )
    & ( hskp29
      | ! [X20] :
          ( ndr1_0
         => ( ~ c0_1(X20)
            | ~ c1_1(X20)
            | c3_1(X20) ) )
      | hskp19 )
    & ( ( ndr1_0
        & ~ c2_1(a282)
        & c3_1(a282)
        & ~ c0_1(a282) )
      | ~ hskp24 )
    & ( hskp26
      | ! [X36] :
          ( ndr1_0
         => ( ~ c0_1(X36)
            | ~ c3_1(X36)
            | ~ c1_1(X36) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c1_1(X35)
            | c2_1(X35) ) ) )
    & ( ~ hskp0
      | ( ~ c2_1(a234)
        & c1_1(a234)
        & ndr1_0
        & ~ c0_1(a234) ) )
    & ( hskp13
      | hskp24
      | hskp8 )
    & ( ! [X107] :
          ( ndr1_0
         => ( ~ c1_1(X107)
            | c3_1(X107)
            | c2_1(X107) ) )
      | hskp15
      | hskp19 )
    & ( hskp30
      | ! [X3] :
          ( ndr1_0
         => ( c2_1(X3)
            | c3_1(X3)
            | c0_1(X3) ) )
      | hskp9 )
    & ( ( ~ c3_1(a263)
        & ~ c1_1(a263)
        & ~ c0_1(a263)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ! [X85] :
          ( ndr1_0
         => ( ~ c0_1(X85)
            | c1_1(X85)
            | c2_1(X85) ) )
      | hskp18
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | c2_1(X86)
            | c1_1(X86) ) ) )
    & ( hskp19
      | ! [X87] :
          ( ndr1_0
         => ( ~ c2_1(X87)
            | c0_1(X87)
            | ~ c3_1(X87) ) )
      | hskp17 )
    & ( hskp8
      | hskp13
      | hskp11 )
    & ( ! [X108] :
          ( ndr1_0
         => ( ~ c3_1(X108)
            | c2_1(X108)
            | c0_1(X108) ) )
      | hskp17
      | hskp29 )
    & ( hskp31
      | ! [X69] :
          ( ndr1_0
         => ( ~ c1_1(X69)
            | c2_1(X69)
            | ~ c0_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( c0_1(X70)
            | ~ c2_1(X70)
            | ~ c3_1(X70) ) ) )
    & ( hskp13
      | hskp8
      | ! [X77] :
          ( ndr1_0
         => ( ~ c1_1(X77)
            | ~ c2_1(X77)
            | c0_1(X77) ) ) )
    & ( hskp13
      | hskp24
      | hskp23 )
    & ( ( c3_1(a248)
        & ~ c0_1(a248)
        & ~ c1_1(a248)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ! [X79] :
          ( ndr1_0
         => ( ~ c1_1(X79)
            | c3_1(X79)
            | c0_1(X79) ) )
      | hskp18
      | hskp9 )
    & ( ( ~ c1_1(a257)
        & c3_1(a257)
        & ndr1_0
        & c2_1(a257) )
      | ~ hskp14 )
    & ( ( c1_1(a271)
        & ~ c2_1(a271)
        & ndr1_0
        & c0_1(a271) )
      | ~ hskp20 )
    & ( ! [X90] :
          ( ndr1_0
         => ( ~ c2_1(X90)
            | ~ c1_1(X90)
            | ~ c3_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( c0_1(X91)
            | ~ c3_1(X91)
            | ~ c1_1(X91) ) )
      | hskp11 )
    & ( ! [X75] :
          ( ndr1_0
         => ( c2_1(X75)
            | ~ c3_1(X75)
            | c1_1(X75) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c3_1(X74)
            | ~ c2_1(X74)
            | ~ c1_1(X74) ) )
      | ! [X76] :
          ( ndr1_0
         => ( c2_1(X76)
            | ~ c1_1(X76)
            | c3_1(X76) ) ) )
    & ( hskp11
      | ! [X2] :
          ( ndr1_0
         => ( ~ c1_1(X2)
            | c3_1(X2)
            | ~ c2_1(X2) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c2_1(X1)
            | ~ c3_1(X1)
            | c1_1(X1) ) ) )
    & ( ! [X9] :
          ( ndr1_0
         => ( ~ c1_1(X9)
            | ~ c0_1(X9)
            | c2_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c2_1(X10)
            | c0_1(X10)
            | c1_1(X10) ) )
      | hskp2 )
    & ( ( c2_1(a314)
        & ndr1_0
        & ~ c0_1(a314)
        & ~ c3_1(a314) )
      | ~ hskp26 )
    & ( ! [X19] :
          ( ndr1_0
         => ( ~ c1_1(X19)
            | ~ c2_1(X19)
            | ~ c3_1(X19) ) )
      | hskp24
      | hskp27 )
    & ( ( ndr1_0
        & ~ c3_1(a294)
        & c2_1(a294)
        & c1_1(a294) )
      | ~ hskp25 )
    & ( hskp31
      | ! [X95] :
          ( ndr1_0
         => ( c2_1(X95)
            | ~ c1_1(X95)
            | c3_1(X95) ) )
      | hskp4 )
    & ( hskp25
      | ! [X24] :
          ( ndr1_0
         => ( ~ c2_1(X24)
            | c3_1(X24)
            | c1_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c0_1(X25)
            | ~ c3_1(X25)
            | c1_1(X25) ) ) )
    & ( hskp3
      | hskp12
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | ~ c0_1(X78)
            | c1_1(X78) ) ) )
    & ( hskp31
      | hskp9
      | ! [X52] :
          ( ndr1_0
         => ( ~ c2_1(X52)
            | c1_1(X52)
            | c0_1(X52) ) ) )
    & ( ! [X42] :
          ( ndr1_0
         => ( c3_1(X42)
            | ~ c2_1(X42)
            | c1_1(X42) ) )
      | hskp5
      | ! [X41] :
          ( ndr1_0
         => ( ~ c0_1(X41)
            | c3_1(X41)
            | ~ c2_1(X41) ) ) )
    & ( ( c2_1(a251)
        & ~ c1_1(a251)
        & ndr1_0
        & ~ c3_1(a251) )
      | ~ hskp11 )
    & ( ! [X32] :
          ( ndr1_0
         => ( c2_1(X32)
            | ~ c0_1(X32)
            | ~ c3_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c3_1(X33)
            | c1_1(X33)
            | ~ c0_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c1_1(X34)
            | c3_1(X34)
            | ~ c0_1(X34) ) ) )
    & ( ~ hskp7
      | ( ~ c2_1(a244)
        & c0_1(a244)
        & ~ c1_1(a244)
        & ndr1_0 ) )
    & ( hskp20
      | ! [X114] :
          ( ndr1_0
         => ( ~ c0_1(X114)
            | ~ c2_1(X114)
            | c3_1(X114) ) )
      | ! [X113] :
          ( ndr1_0
         => ( ~ c2_1(X113)
            | c0_1(X113)
            | ~ c1_1(X113) ) ) )
    & ( ! [X89] :
          ( ndr1_0
         => ( c0_1(X89)
            | ~ c1_1(X89)
            | ~ c3_1(X89) ) )
      | ! [X88] :
          ( ndr1_0
         => ( c1_1(X88)
            | c2_1(X88)
            | c3_1(X88) ) )
      | hskp21 )
    & ( ( ndr1_0
        & c0_1(a252)
        & ~ c1_1(a252)
        & ~ c3_1(a252) )
      | ~ hskp12 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c1_1(X63)
            | ~ c2_1(X63)
            | ~ c3_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c1_1(X64)
            | ~ c0_1(X64)
            | c2_1(X64) ) )
      | hskp7 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c2_1(X30)
            | c1_1(X30)
            | c3_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c3_1(X31)
            | c0_1(X31)
            | c1_1(X31) ) )
      | hskp6 )
    & ( ! [X102] :
          ( ndr1_0
         => ( c3_1(X102)
            | ~ c1_1(X102)
            | c2_1(X102) ) )
      | hskp20
      | hskp2 )
    & ( ( ~ c0_1(a253)
        & c1_1(a253)
        & ~ c3_1(a253)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ~ hskp2
      | ( ndr1_0
        & c3_1(a236)
        & c1_1(a236)
        & ~ c0_1(a236) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c3_1(a241)
        & c2_1(a241)
        & ~ c0_1(a241) ) )
    & ( ~ hskp21
      | ( c0_1(a274)
        & ~ c3_1(a274)
        & c2_1(a274)
        & ndr1_0 ) )
    & ( ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | ~ c1_1(X105)
            | ~ c2_1(X105) ) )
      | hskp4
      | ! [X104] :
          ( ndr1_0
         => ( c2_1(X104)
            | c1_1(X104)
            | c0_1(X104) ) ) )
    & ( hskp31
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | c2_1(X40)
            | c0_1(X40) ) )
      | hskp14 )
    & ( ~ hskp15
      | ( ~ c0_1(a258)
        & ~ c2_1(a258)
        & ndr1_0
        & ~ c3_1(a258) ) )
    & ( ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | ~ c3_1(X6)
            | c0_1(X6) ) )
      | hskp11
      | hskp24 )
    & ( ! [X110] :
          ( ndr1_0
         => ( c1_1(X110)
            | ~ c2_1(X110)
            | c0_1(X110) ) )
      | ! [X109] :
          ( ndr1_0
         => ( ~ c2_1(X109)
            | c3_1(X109)
            | ~ c0_1(X109) ) )
      | hskp8 )
    & ( ( c3_1(a243)
        & ndr1_0
        & c0_1(a243)
        & c1_1(a243) )
      | ~ hskp30 )
    & ( ( c3_1(a240)
        & c1_1(a240)
        & c2_1(a240)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ! [X81] :
          ( ndr1_0
         => ( c3_1(X81)
            | c1_1(X81)
            | c0_1(X81) ) )
      | ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | c3_1(X80)
            | ~ c0_1(X80) ) )
      | hskp30 )
    & ( hskp10
      | ! [X116] :
          ( ndr1_0
         => ( ~ c3_1(X116)
            | c1_1(X116)
            | c2_1(X116) ) )
      | ! [X115] :
          ( ndr1_0
         => ( ~ c1_1(X115)
            | c2_1(X115)
            | c3_1(X115) ) ) )
    & ( hskp7
      | hskp15
      | hskp8 )
    & ( ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | ~ c2_1(X15)
            | c3_1(X15) ) )
      | hskp21
      | hskp31 )
    & ( hskp14
      | ! [X46] :
          ( ndr1_0
         => ( c2_1(X46)
            | ~ c1_1(X46)
            | c0_1(X46) ) )
      | ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | ~ c1_1(X45)
            | c3_1(X45) ) ) )
    & ( hskp9
      | hskp5
      | hskp11 )
    & ( ( ~ c0_1(a242)
        & c2_1(a242)
        & ~ c1_1(a242)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a276)
        & ndr1_0
        & c0_1(a276)
        & c1_1(a276) )
      | ~ hskp22 )
    & ( hskp22
      | hskp2
      | hskp28 )
    & ( hskp16
      | hskp11
      | ! [X106] :
          ( ndr1_0
         => ( c1_1(X106)
            | c2_1(X106)
            | ~ c0_1(X106) ) ) )
    & ( hskp5
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | ~ c0_1(X73)
            | c1_1(X73) ) )
      | hskp10 )
    & ( ! [X5] :
          ( ndr1_0
         => ( c3_1(X5)
            | c1_1(X5)
            | c2_1(X5) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c3_1(X4)
            | c1_1(X4)
            | ~ c2_1(X4) ) )
      | hskp20 )
    & ( ! [X14] :
          ( ndr1_0
         => ( c3_1(X14)
            | c1_1(X14)
            | c0_1(X14) ) )
      | hskp7
      | ! [X13] :
          ( ndr1_0
         => ( ~ c0_1(X13)
            | ~ c1_1(X13)
            | c2_1(X13) ) ) )
    & ( ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | c3_1(X44)
            | ~ c1_1(X44) ) )
      | hskp10
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | c0_1(X43)
            | ~ c2_1(X43) ) ) )
    & ( ( ~ c2_1(a235)
        & ~ c0_1(a235)
        & ndr1_0
        & ~ c1_1(a235) )
      | ~ hskp1 )
    & ( hskp10
      | ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | c1_1(X29)
            | ~ c2_1(X29) ) ) )
    & ( ( c2_1(a246)
        & ndr1_0
        & c0_1(a246)
        & c3_1(a246) )
      | ~ hskp31 )
    & ( ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c2_1(X51)
            | c0_1(X51) ) )
      | hskp24
      | hskp23 )
    & ( hskp16
      | ! [X62] :
          ( ndr1_0
         => ( ~ c2_1(X62)
            | ~ c1_1(X62)
            | c3_1(X62) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | c0_1(X61)
            | c2_1(X61) ) ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( c2_1(X66)
            | c3_1(X66)
            | c1_1(X66) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c0_1(X65)
            | c1_1(X65)
            | c2_1(X65) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | ~ c0_1(X67)
            | ~ c3_1(X67) ) ) )
    & ( ~ hskp27
      | ( ~ c1_1(a322)
        & ndr1_0
        & ~ c3_1(a322)
        & ~ c2_1(a322) ) ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | c0_1(X68)
                | c1_1(X68) ) )
          | hskp31 )
        & ( ! [X112] :
              ( ndr1_0
             => ( ~ c3_1(X112)
                | ~ c0_1(X112)
                | c1_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | c2_1(X111)
                | c0_1(X111) ) )
          | hskp15 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c2_1(X48)
                | ~ c3_1(X48)
                | ~ c1_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | c3_1(X49)
                | c0_1(X49) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c2_1(X47)
                | c1_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp19
          | hskp16
          | ! [X103] :
              ( ndr1_0
             => ( c3_1(X103)
                | ~ c2_1(X103)
                | c0_1(X103) ) ) )
        & ( hskp13
          | hskp12
          | ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c1_1(X26)
                | ~ c3_1(X26) ) ) )
        & ( hskp28
          | hskp4
          | ! [X60] :
              ( ndr1_0
             => ( c3_1(X60)
                | c0_1(X60)
                | ~ c2_1(X60) ) ) )
        & ( hskp5
          | hskp25
          | ! [X37] :
              ( ndr1_0
             => ( c1_1(X37)
                | ~ c2_1(X37)
                | ~ c3_1(X37) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | c2_1(X54)
                | c0_1(X54) ) )
          | hskp1
          | ! [X53] :
              ( ndr1_0
             => ( c2_1(X53)
                | c0_1(X53)
                | c1_1(X53) ) ) )
        & ( ( c0_1(a237)
            & c1_1(a237)
            & ndr1_0
            & c2_1(a237) )
          | ~ hskp28 )
        & ( ~ hskp3
          | ( ndr1_0
            & ~ c2_1(a238)
            & c0_1(a238)
            & ~ c3_1(a238) ) )
        & ( ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | ~ c0_1(X39)
                | ~ c3_1(X39) ) )
          | hskp4 )
        & ( ! [X11] :
              ( ndr1_0
             => ( ~ c0_1(X11)
                | c2_1(X11)
                | ~ c3_1(X11) ) )
          | hskp20
          | ! [X12] :
              ( ndr1_0
             => ( c3_1(X12)
                | c2_1(X12)
                | ~ c1_1(X12) ) ) )
        & ( hskp14
          | hskp13
          | hskp2 )
        & ( ~ hskp10
          | ( ~ c2_1(a249)
            & c3_1(a249)
            & c0_1(a249)
            & ndr1_0 ) )
        & ( hskp18
          | hskp5
          | hskp22 )
        & ( hskp11
          | ! [X0] :
              ( ndr1_0
             => ( ~ c2_1(X0)
                | c0_1(X0)
                | c1_1(X0) ) )
          | hskp7 )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c0_1(X58)
                | ~ c2_1(X58)
                | ~ c1_1(X58) ) )
          | hskp4
          | ! [X57] :
              ( ndr1_0
             => ( c3_1(X57)
                | c1_1(X57)
                | c2_1(X57) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c1_1(X16)
                | ~ c0_1(X16) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c2_1(X18)
                | c1_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | c0_1(X17)
                | ~ c3_1(X17) ) ) )
        & ( hskp11
          | hskp18
          | hskp19 )
        & ( hskp9
          | hskp19
          | hskp8 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c2_1(X23)
                | ~ c1_1(X23)
                | c0_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c3_1(X22)
                | ~ c1_1(X22)
                | c0_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c2_1(X21)
                | ~ c1_1(X21)
                | ~ c3_1(X21) ) ) )
        & ( ( c3_1(a239)
            & ndr1_0
            & ~ c2_1(a239)
            & ~ c1_1(a239) )
          | ~ hskp4 )
        & ( ~ hskp19
          | ( c3_1(a269)
            & ndr1_0
            & c0_1(a269)
            & ~ c1_1(a269) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | c3_1(X59)
                | ~ c2_1(X59) ) )
          | hskp17
          | hskp9 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | c0_1(X100)
                | c1_1(X100) ) )
          | hskp0
          | ! [X101] :
              ( ndr1_0
             => ( c0_1(X101)
                | c2_1(X101)
                | c3_1(X101) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | c2_1(X82)
                | ~ c3_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c1_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c2_1(X84)
                | ~ c0_1(X84)
                | c3_1(X84) ) ) )
        & ( ~ hskp23
          | ( c3_1(a281)
            & ndr1_0
            & ~ c2_1(a281)
            & c1_1(a281) ) )
        & ( ! [X98] :
              ( ndr1_0
             => ( c0_1(X98)
                | c3_1(X98)
                | c2_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | ~ c3_1(X97)
                | ~ c0_1(X97) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | c0_1(X99)
                | c2_1(X99) ) ) )
        & ( hskp5
          | ! [X38] :
              ( ndr1_0
             => ( c1_1(X38)
                | c0_1(X38)
                | c2_1(X38) ) )
          | hskp29 )
        & ( ~ hskp18
          | ( c2_1(a265)
            & c1_1(a265)
            & ndr1_0
            & ~ c0_1(a265) ) )
        & ( hskp29
          | ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | c2_1(X27)
                | ~ c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c2_1(X28)
                | ~ c3_1(X28)
                | c1_1(X28) ) ) )
        & ( hskp3
          | ! [X71] :
              ( ndr1_0
             => ( ~ c1_1(X71)
                | ~ c0_1(X71)
                | ~ c3_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | c1_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp22
          | ! [X92] :
              ( ndr1_0
             => ( c0_1(X92)
                | ~ c3_1(X92)
                | ~ c1_1(X92) ) )
          | hskp18 )
        & ( hskp29
          | ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | c3_1(X50)
                | c1_1(X50) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c0_1(X56)
                | ~ c1_1(X56)
                | ~ c3_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | ~ c3_1(X55)
                | ~ c2_1(X55) ) )
          | hskp4 )
        & ( hskp22
          | ! [X96] :
              ( ndr1_0
             => ( c3_1(X96)
                | c2_1(X96)
                | ~ c0_1(X96) ) )
          | hskp7 )
        & ( ~ hskp8
          | ( ndr1_0
            & c2_1(a245)
            & ~ c1_1(a245)
            & c0_1(a245) ) )
        & ( ~ hskp16
          | ( c1_1(a259)
            & ~ c3_1(a259)
            & ndr1_0
            & ~ c2_1(a259) ) )
        & ( ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | ~ c0_1(X94)
                | ~ c3_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( c0_1(X93)
                | c1_1(X93)
                | c2_1(X93) ) )
          | hskp28 )
        & ( hskp11
          | ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | c3_1(X7)
                | c0_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c2_1(X8)
                | ~ c3_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp29
          | ! [X20] :
              ( ndr1_0
             => ( ~ c0_1(X20)
                | ~ c1_1(X20)
                | c3_1(X20) ) )
          | hskp19 )
        & ( ( ndr1_0
            & ~ c2_1(a282)
            & c3_1(a282)
            & ~ c0_1(a282) )
          | ~ hskp24 )
        & ( hskp26
          | ! [X36] :
              ( ndr1_0
             => ( ~ c0_1(X36)
                | ~ c3_1(X36)
                | ~ c1_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c1_1(X35)
                | c2_1(X35) ) ) )
        & ( ~ hskp0
          | ( ~ c2_1(a234)
            & c1_1(a234)
            & ndr1_0
            & ~ c0_1(a234) ) )
        & ( hskp13
          | hskp24
          | hskp8 )
        & ( ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | c3_1(X107)
                | c2_1(X107) ) )
          | hskp15
          | hskp19 )
        & ( hskp30
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c3_1(X3)
                | c0_1(X3) ) )
          | hskp9 )
        & ( ( ~ c3_1(a263)
            & ~ c1_1(a263)
            & ~ c0_1(a263)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c1_1(X85)
                | c2_1(X85) ) )
          | hskp18
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | c2_1(X86)
                | c1_1(X86) ) ) )
        & ( hskp19
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | c0_1(X87)
                | ~ c3_1(X87) ) )
          | hskp17 )
        & ( hskp8
          | hskp13
          | hskp11 )
        & ( ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | c2_1(X108)
                | c0_1(X108) ) )
          | hskp17
          | hskp29 )
        & ( hskp31
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | c2_1(X69)
                | ~ c0_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c0_1(X70)
                | ~ c2_1(X70)
                | ~ c3_1(X70) ) ) )
        & ( hskp13
          | hskp8
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | ~ c2_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp13
          | hskp24
          | hskp23 )
        & ( ( c3_1(a248)
            & ~ c0_1(a248)
            & ~ c1_1(a248)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c1_1(X79)
                | c3_1(X79)
                | c0_1(X79) ) )
          | hskp18
          | hskp9 )
        & ( ( ~ c1_1(a257)
            & c3_1(a257)
            & ndr1_0
            & c2_1(a257) )
          | ~ hskp14 )
        & ( ( c1_1(a271)
            & ~ c2_1(a271)
            & ndr1_0
            & c0_1(a271) )
          | ~ hskp20 )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | ~ c1_1(X90)
                | ~ c3_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c0_1(X91)
                | ~ c3_1(X91)
                | ~ c1_1(X91) ) )
          | hskp11 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | ~ c3_1(X75)
                | c1_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c3_1(X74)
                | ~ c2_1(X74)
                | ~ c1_1(X74) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c2_1(X76)
                | ~ c1_1(X76)
                | c3_1(X76) ) ) )
        & ( hskp11
          | ! [X2] :
              ( ndr1_0
             => ( ~ c1_1(X2)
                | c3_1(X2)
                | ~ c2_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c2_1(X1)
                | ~ c3_1(X1)
                | c1_1(X1) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | ~ c0_1(X9)
                | c2_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | c0_1(X10)
                | c1_1(X10) ) )
          | hskp2 )
        & ( ( c2_1(a314)
            & ndr1_0
            & ~ c0_1(a314)
            & ~ c3_1(a314) )
          | ~ hskp26 )
        & ( ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | ~ c2_1(X19)
                | ~ c3_1(X19) ) )
          | hskp24
          | hskp27 )
        & ( ( ndr1_0
            & ~ c3_1(a294)
            & c2_1(a294)
            & c1_1(a294) )
          | ~ hskp25 )
        & ( hskp31
          | ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | ~ c1_1(X95)
                | c3_1(X95) ) )
          | hskp4 )
        & ( hskp25
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | c3_1(X24)
                | c1_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c0_1(X25)
                | ~ c3_1(X25)
                | c1_1(X25) ) ) )
        & ( hskp3
          | hskp12
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c0_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp31
          | hskp9
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | c1_1(X52)
                | c0_1(X52) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( c3_1(X42)
                | ~ c2_1(X42)
                | c1_1(X42) ) )
          | hskp5
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | c3_1(X41)
                | ~ c2_1(X41) ) ) )
        & ( ( c2_1(a251)
            & ~ c1_1(a251)
            & ndr1_0
            & ~ c3_1(a251) )
          | ~ hskp11 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c2_1(X32)
                | ~ c0_1(X32)
                | ~ c3_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c1_1(X33)
                | ~ c0_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c1_1(X34)
                | c3_1(X34)
                | ~ c0_1(X34) ) ) )
        & ( ~ hskp7
          | ( ~ c2_1(a244)
            & c0_1(a244)
            & ~ c1_1(a244)
            & ndr1_0 ) )
        & ( hskp20
          | ! [X114] :
              ( ndr1_0
             => ( ~ c0_1(X114)
                | ~ c2_1(X114)
                | c3_1(X114) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c2_1(X113)
                | c0_1(X113)
                | ~ c1_1(X113) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( c0_1(X89)
                | ~ c1_1(X89)
                | ~ c3_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | c2_1(X88)
                | c3_1(X88) ) )
          | hskp21 )
        & ( ( ndr1_0
            & c0_1(a252)
            & ~ c1_1(a252)
            & ~ c3_1(a252) )
          | ~ hskp12 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | ~ c2_1(X63)
                | ~ c3_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | ~ c0_1(X64)
                | c2_1(X64) ) )
          | hskp7 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c2_1(X30)
                | c1_1(X30)
                | c3_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c0_1(X31)
                | c1_1(X31) ) )
          | hskp6 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c3_1(X102)
                | ~ c1_1(X102)
                | c2_1(X102) ) )
          | hskp20
          | hskp2 )
        & ( ( ~ c0_1(a253)
            & c1_1(a253)
            & ~ c3_1(a253)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ~ hskp2
          | ( ndr1_0
            & c3_1(a236)
            & c1_1(a236)
            & ~ c0_1(a236) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c3_1(a241)
            & c2_1(a241)
            & ~ c0_1(a241) ) )
        & ( ~ hskp21
          | ( c0_1(a274)
            & ~ c3_1(a274)
            & c2_1(a274)
            & ndr1_0 ) )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c1_1(X105)
                | ~ c2_1(X105) ) )
          | hskp4
          | ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | c1_1(X104)
                | c0_1(X104) ) ) )
        & ( hskp31
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c0_1(X40) ) )
          | hskp14 )
        & ( ~ hskp15
          | ( ~ c0_1(a258)
            & ~ c2_1(a258)
            & ndr1_0
            & ~ c3_1(a258) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c3_1(X6)
                | c0_1(X6) ) )
          | hskp11
          | hskp24 )
        & ( ! [X110] :
              ( ndr1_0
             => ( c1_1(X110)
                | ~ c2_1(X110)
                | c0_1(X110) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | c3_1(X109)
                | ~ c0_1(X109) ) )
          | hskp8 )
        & ( ( c3_1(a243)
            & ndr1_0
            & c0_1(a243)
            & c1_1(a243) )
          | ~ hskp30 )
        & ( ( c3_1(a240)
            & c1_1(a240)
            & c2_1(a240)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | c1_1(X81)
                | c0_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c3_1(X80)
                | ~ c0_1(X80) ) )
          | hskp30 )
        & ( hskp10
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | c1_1(X116)
                | c2_1(X116) ) )
          | ! [X115] :
              ( ndr1_0
             => ( ~ c1_1(X115)
                | c2_1(X115)
                | c3_1(X115) ) ) )
        & ( hskp7
          | hskp15
          | hskp8 )
        & ( ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | ~ c2_1(X15)
                | c3_1(X15) ) )
          | hskp21
          | hskp31 )
        & ( hskp14
          | ! [X46] :
              ( ndr1_0
             => ( c2_1(X46)
                | ~ c1_1(X46)
                | c0_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | ~ c1_1(X45)
                | c3_1(X45) ) ) )
        & ( hskp9
          | hskp5
          | hskp11 )
        & ( ( ~ c0_1(a242)
            & c2_1(a242)
            & ~ c1_1(a242)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a276)
            & ndr1_0
            & c0_1(a276)
            & c1_1(a276) )
          | ~ hskp22 )
        & ( hskp22
          | hskp2
          | hskp28 )
        & ( hskp16
          | hskp11
          | ! [X106] :
              ( ndr1_0
             => ( c1_1(X106)
                | c2_1(X106)
                | ~ c0_1(X106) ) ) )
        & ( hskp5
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c0_1(X73)
                | c1_1(X73) ) )
          | hskp10 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c3_1(X5)
                | c1_1(X5)
                | c2_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c1_1(X4)
                | ~ c2_1(X4) ) )
          | hskp20 )
        & ( ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) )
          | hskp7
          | ! [X13] :
              ( ndr1_0
             => ( ~ c0_1(X13)
                | ~ c1_1(X13)
                | c2_1(X13) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c3_1(X44)
                | ~ c1_1(X44) ) )
          | hskp10
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c0_1(X43)
                | ~ c2_1(X43) ) ) )
        & ( ( ~ c2_1(a235)
            & ~ c0_1(a235)
            & ndr1_0
            & ~ c1_1(a235) )
          | ~ hskp1 )
        & ( hskp10
          | ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c1_1(X29)
                | ~ c2_1(X29) ) ) )
        & ( ( c2_1(a246)
            & ndr1_0
            & c0_1(a246)
            & c3_1(a246) )
          | ~ hskp31 )
        & ( ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | c0_1(X51) ) )
          | hskp24
          | hskp23 )
        & ( hskp16
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c1_1(X62)
                | c3_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | c0_1(X61)
                | c2_1(X61) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( c2_1(X66)
                | c3_1(X66)
                | c1_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | c1_1(X65)
                | c2_1(X65) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | ~ c0_1(X67)
                | ~ c3_1(X67) ) ) )
        & ( ~ hskp27
          | ( ~ c1_1(a322)
            & ndr1_0
            & ~ c3_1(a322)
            & ~ c2_1(a322) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ~ c2_1(a234)
            & c1_1(a234)
            & ndr1_0
            & ~ c0_1(a234) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & ~ c2_1(a238)
            & c0_1(a238)
            & ~ c3_1(a238) ) )
        & ( hskp11
          | hskp7
          | ! [X30] :
              ( ndr1_0
             => ( c1_1(X30)
                | c0_1(X30)
                | ~ c2_1(X30) ) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | c1_1(X84)
                | c2_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | c3_1(X85)
                | ~ c1_1(X85) ) )
          | hskp11 )
        & ( hskp9
          | hskp5
          | hskp11 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | c0_1(X37)
                | c2_1(X37) ) )
          | hskp30
          | hskp9 )
        & ( ( ndr1_0
            & ~ c2_1(a282)
            & c3_1(a282)
            & ~ c0_1(a282) )
          | ~ hskp24 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | ~ c2_1(X71)
                | c3_1(X71) ) )
          | hskp20
          | ! [X70] :
              ( ndr1_0
             => ( c2_1(X70)
                | c3_1(X70)
                | c1_1(X70) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | c0_1(X66) ) )
          | hskp24
          | hskp11 )
        & ( hskp22
          | hskp2
          | hskp28 )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c2_1(X35)
                | c3_1(X35) ) )
          | hskp11
          | ! [X36] :
              ( ndr1_0
             => ( c2_1(X36)
                | c0_1(X36)
                | ~ c3_1(X36) ) ) )
        & ( hskp2
          | ! [X11] :
              ( ndr1_0
             => ( c2_1(X11)
                | ~ c0_1(X11)
                | ~ c1_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | c0_1(X10)
                | c1_1(X10) ) ) )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | ~ c3_1(X105)
                | c2_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c1_1(X104)
                | c3_1(X104)
                | c2_1(X104) ) )
          | hskp20 )
        & ( ~ hskp18
          | ( c2_1(a265)
            & c1_1(a265)
            & ndr1_0
            & ~ c0_1(a265) ) )
        & ( hskp8
          | hskp13
          | hskp11 )
        & ( hskp14
          | hskp13
          | hskp2 )
        & ( ~ hskp16
          | ( c1_1(a259)
            & ~ c3_1(a259)
            & ndr1_0
            & ~ c2_1(a259) ) )
        & ( ( c3_1(a248)
            & ~ c0_1(a248)
            & ~ c1_1(a248)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | c2_1(X24)
                | ~ c0_1(X24) ) )
          | hskp7
          | ! [X23] :
              ( ndr1_0
             => ( c1_1(X23)
                | c0_1(X23)
                | c3_1(X23) ) ) )
        & ( hskp31
          | ! [X112] :
              ( ndr1_0
             => ( ~ c1_1(X112)
                | ~ c2_1(X112)
                | c3_1(X112) ) )
          | hskp21 )
        & ( ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c1_1(X9)
                | ~ c0_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | ~ c3_1(X8)
                | ~ c1_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c2_1(X7)
                | c1_1(X7) ) ) )
        & ( ( ~ c0_1(a253)
            & c1_1(a253)
            & ~ c3_1(a253)
            & ndr1_0 )
          | ~ hskp13 )
        & ( hskp24
          | hskp27
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c2_1(X116)
                | ~ c1_1(X116) ) ) )
        & ( hskp19
          | hskp29
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | ~ c0_1(X111)
                | c3_1(X111) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | c2_1(X40)
                | ~ c3_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c0_1(X39)
                | c3_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | ~ c1_1(X38) ) ) )
        & ( ( ~ c1_1(a257)
            & c3_1(a257)
            & ndr1_0
            & c2_1(a257) )
          | ~ hskp14 )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | c3_1(X90)
                | c1_1(X90) ) )
          | hskp25
          | ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | ~ c0_1(X91)
                | ~ c3_1(X91) ) ) )
        & ( hskp9
          | hskp19
          | hskp8 )
        & ( ( ndr1_0
            & c0_1(a252)
            & ~ c1_1(a252)
            & ~ c3_1(a252) )
          | ~ hskp12 )
        & ( hskp18
          | hskp5
          | hskp22 )
        & ( hskp13
          | hskp12
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c0_1(X31)
                | c1_1(X31) ) ) )
        & ( ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | c2_1(X83)
                | ~ c3_1(X83) ) )
          | hskp29
          | ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | ~ c3_1(X82)
                | c1_1(X82) ) ) )
        & ( ~ hskp10
          | ( ~ c2_1(a249)
            & c3_1(a249)
            & c0_1(a249)
            & ndr1_0 ) )
        & ( hskp11
          | hskp18
          | hskp19 )
        & ( ( ~ c3_1(a276)
            & ndr1_0
            & c0_1(a276)
            & c1_1(a276) )
          | ~ hskp22 )
        & ( ~ hskp8
          | ( ndr1_0
            & c2_1(a245)
            & ~ c1_1(a245)
            & c0_1(a245) ) )
        & ( hskp10
          | ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c1_1(X29)
                | ~ c2_1(X29) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( c1_1(X20)
                | c3_1(X20)
                | c2_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c3_1(X19)
                | c1_1(X19) ) )
          | hskp6 )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | c2_1(X88)
                | ~ c3_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c0_1(X87)
                | c1_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | c3_1(X86)
                | ~ c0_1(X86) ) ) )
        & ( hskp26
          | ! [X109] :
              ( ndr1_0
             => ( c2_1(X109)
                | ~ c1_1(X109)
                | ~ c3_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c0_1(X110)
                | ~ c1_1(X110) ) ) )
        & ( ( ~ c0_1(a242)
            & c2_1(a242)
            & ~ c1_1(a242)
            & ndr1_0 )
          | ~ hskp6 )
        & ( hskp25
          | hskp5
          | ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | ~ c3_1(X99)
                | ~ c2_1(X99) ) ) )
        & ( hskp29
          | hskp5
          | ! [X18] :
              ( ndr1_0
             => ( c2_1(X18)
                | c0_1(X18)
                | c1_1(X18) ) ) )
        & ( ( c0_1(a237)
            & c1_1(a237)
            & ndr1_0
            & c2_1(a237) )
          | ~ hskp28 )
        & ( hskp4
          | ! [X115] :
              ( ndr1_0
             => ( ~ c3_1(X115)
                | ~ c0_1(X115)
                | ~ c1_1(X115) ) ) )
        & ( hskp31
          | ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c2_1(X47)
                | ~ c3_1(X47) ) )
          | hskp14 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | ~ c0_1(X93)
                | ~ c2_1(X93) ) )
          | hskp5
          | ! [X92] :
              ( ndr1_0
             => ( c3_1(X92)
                | ~ c2_1(X92)
                | c1_1(X92) ) ) )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | ~ c3_1(X50)
                | ~ c2_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | c0_1(X49)
                | c3_1(X49) ) )
          | hskp10 )
        & ( ( c3_1(a239)
            & ndr1_0
            & ~ c2_1(a239)
            & ~ c1_1(a239) )
          | ~ hskp4 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c3_1(X42)
                | ~ c1_1(X42)
                | c0_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | ~ c1_1(X41)
                | c2_1(X41) ) )
          | hskp14 )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c2_1(X4)
                | c1_1(X4) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | c2_1(X6)
                | ~ c1_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | c3_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp29
          | ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | c1_1(X89)
                | ~ c0_1(X89) ) ) )
        & ( hskp23
          | ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c2_1(X65)
                | ~ c3_1(X65) ) )
          | hskp24 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c1_1(X28)
                | c0_1(X28)
                | ~ c2_1(X28) ) )
          | hskp31
          | hskp9 )
        & ( hskp1
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c1_1(X2)
                | c2_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c2_1(X3)
                | ~ c3_1(X3) ) ) )
        & ( ! [X114] :
              ( ndr1_0
             => ( ~ c0_1(X114)
                | ~ c3_1(X114)
                | ~ c2_1(X114) ) )
          | hskp4
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c1_1(X113)
                | ~ c0_1(X113) ) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c3_1(X72)
                | c2_1(X72) ) )
          | hskp4
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c0_1(X73)
                | ~ c1_1(X73) ) ) )
        & ( hskp17
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | c3_1(X94)
                | c1_1(X94) ) )
          | hskp9 )
        & ( ~ hskp19
          | ( c3_1(a269)
            & ndr1_0
            & c0_1(a269)
            & ~ c1_1(a269) ) )
        & ( ( c2_1(a251)
            & ~ c1_1(a251)
            & ndr1_0
            & ~ c3_1(a251) )
          | ~ hskp11 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | ~ c2_1(X52)
                | c0_1(X52) ) )
          | hskp28
          | hskp4 )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | c2_1(X45)
                | c0_1(X45) ) )
          | hskp16
          | ! [X46] :
              ( ndr1_0
             => ( c3_1(X46)
                | ~ c1_1(X46)
                | ~ c2_1(X46) ) ) )
        & ( hskp7
          | ! [X97] :
              ( ndr1_0
             => ( c1_1(X97)
                | ~ c2_1(X97)
                | ~ c3_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | ~ c0_1(X98)
                | c2_1(X98) ) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( c2_1(X68)
                | ~ c0_1(X68)
                | c1_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c2_1(X67)
                | c3_1(X67)
                | c1_1(X67) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | ~ c3_1(X69)
                | c1_1(X69) ) ) )
        & ( ~ hskp15
          | ( ~ c0_1(a258)
            & ~ c2_1(a258)
            & ndr1_0
            & ~ c3_1(a258) ) )
        & ( ~ hskp23
          | ( c3_1(a281)
            & ndr1_0
            & ~ c2_1(a281)
            & c1_1(a281) ) )
        & ( hskp13
          | hskp24
          | hskp23 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c1_1(X27)
                | ~ c2_1(X27) ) )
          | hskp31 )
        & ( ( c2_1(a246)
            & ndr1_0
            & c0_1(a246)
            & c3_1(a246) )
          | ~ hskp31 )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | ~ c0_1(X63)
                | c2_1(X63) ) )
          | hskp31
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | c0_1(X62)
                | ~ c3_1(X62) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | ~ c0_1(X15)
                | ~ c3_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | c2_1(X14) ) )
          | hskp3 )
        & ( ~ hskp27
          | ( ~ c1_1(a322)
            & ndr1_0
            & ~ c3_1(a322)
            & ~ c2_1(a322) ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | c1_1(X95)
                | ~ c0_1(X95) ) )
          | hskp5
          | hskp10 )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c1_1(X79)
                | c3_1(X79) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c2_1(X77)
                | ~ c3_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | c2_1(X78)
                | c3_1(X78) ) ) )
        & ( hskp8
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | c0_1(X56)
                | ~ c1_1(X56) ) )
          | hskp13 )
        & ( hskp3
          | hskp12
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c1_1(X96) ) ) )
        & ( ( ~ c2_1(a235)
            & ~ c0_1(a235)
            & ndr1_0
            & ~ c1_1(a235) )
          | ~ hskp1 )
        & ( hskp18
          | hskp9
          | ! [X51] :
              ( ndr1_0
             => ( c3_1(X51)
                | c0_1(X51)
                | ~ c1_1(X51) ) ) )
        & ( hskp30
          | ! [X22] :
              ( ndr1_0
             => ( c3_1(X22)
                | c1_1(X22)
                | ~ c0_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c3_1(X21)
                | c0_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp7
          | hskp15
          | hskp8 )
        & ( ( c1_1(a271)
            & ~ c2_1(a271)
            & ndr1_0
            & c0_1(a271) )
          | ~ hskp20 )
        & ( ( ~ c3_1(a263)
            & ~ c1_1(a263)
            & ~ c0_1(a263)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c1_1(X101)
                | c2_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c0_1(X102)
                | ~ c1_1(X102) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | c2_1(X100)
                | ~ c0_1(X100) ) ) )
        & ( hskp18
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c1_1(X74)
                | c2_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c2_1(X75)
                | c1_1(X75) ) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c3_1(a236)
            & c1_1(a236)
            & ~ c0_1(a236) ) )
        & ( ~ hskp7
          | ( ~ c2_1(a244)
            & c0_1(a244)
            & ~ c1_1(a244)
            & ndr1_0 ) )
        & ( hskp19
          | hskp17
          | ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c3_1(X64)
                | ~ c2_1(X64) ) ) )
        & ( hskp21
          | ! [X58] :
              ( ndr1_0
             => ( c2_1(X58)
                | c1_1(X58)
                | c3_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) ) )
        & ( ( c3_1(a240)
            & c1_1(a240)
            & c2_1(a240)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a314)
            & ndr1_0
            & ~ c0_1(a314)
            & ~ c3_1(a314) )
          | ~ hskp26 )
        & ( ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c1_1(X60)
                | ~ c2_1(X60) ) )
          | hskp11
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp22
          | ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | ~ c3_1(X61)
                | c0_1(X61) ) )
          | hskp18 )
        & ( hskp28
          | ! [X12] :
              ( ndr1_0
             => ( c1_1(X12)
                | c2_1(X12)
                | c0_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c1_1(X13)
                | ~ c0_1(X13) ) ) )
        & ( ! [X107] :
              ( ndr1_0
             => ( c2_1(X107)
                | ~ c1_1(X107)
                | c3_1(X107) ) )
          | hskp31
          | hskp4 )
        & ( ( c3_1(a243)
            & ndr1_0
            & c0_1(a243)
            & c1_1(a243) )
          | ~ hskp30 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c2_1(X103)
                | ~ c0_1(X103)
                | c3_1(X103) ) )
          | hskp22
          | hskp7 )
        & ( ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | ~ c0_1(X34) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c2_1(X32)
                | c3_1(X32)
                | c0_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | ~ c3_1(X33)
                | c2_1(X33) ) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | hskp0
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c3_1(X1)
                | c2_1(X1) ) ) )
        & ( hskp20
          | hskp2
          | ! [X106] :
              ( ndr1_0
             => ( c2_1(X106)
                | ~ c1_1(X106)
                | c3_1(X106) ) ) )
        & ( hskp16
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) )
          | hskp19 )
        & ( hskp4
          | ! [X16] :
              ( ndr1_0
             => ( c2_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | ~ c2_1(X17)
                | ~ c3_1(X17) ) ) )
        & ( hskp11
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | c1_1(X76)
                | c2_1(X76) ) )
          | hskp16 )
        & ( hskp19
          | hskp15
          | ! [X108] :
              ( ndr1_0
             => ( c2_1(X108)
                | ~ c1_1(X108)
                | c3_1(X108) ) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c3_1(a241)
            & c2_1(a241)
            & ~ c0_1(a241) ) )
        & ( ( ndr1_0
            & ~ c3_1(a294)
            & c2_1(a294)
            & c1_1(a294) )
          | ~ hskp25 )
        & ( hskp29
          | ! [X48] :
              ( ndr1_0
             => ( c2_1(X48)
                | c0_1(X48)
                | ~ c3_1(X48) ) )
          | hskp17 )
        & ( hskp13
          | hskp24
          | hskp8 )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c0_1(X26)
                | ~ c2_1(X26)
                | c3_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | c1_1(X25)
                | c0_1(X25) ) )
          | hskp8 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c2_1(X43)
                | ~ c1_1(X43) ) )
          | hskp15
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c0_1(X44)
                | c1_1(X44) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | c0_1(X54)
                | ~ c1_1(X54) ) )
          | hskp20
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c0_1(X55)
                | c3_1(X55) ) ) )
        & ( ~ hskp21
          | ( c0_1(a274)
            & ~ c3_1(a274)
            & c2_1(a274)
            & ndr1_0 ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | ~ c1_1(X81)
                | c3_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | ~ c3_1(X80)
                | c2_1(X80) ) )
          | hskp10 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ~ c2_1(a234)
          & c1_1(a234)
          & ndr1_0
          & ~ c0_1(a234) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ c2_1(a238)
          & c0_1(a238)
          & ~ c3_1(a238) ) )
      & ( hskp11
        | hskp7
        | ! [X30] :
            ( ndr1_0
           => ( c1_1(X30)
              | c0_1(X30)
              | ~ c2_1(X30) ) ) )
      & ( ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | c1_1(X84)
              | c2_1(X84) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c2_1(X85)
              | c3_1(X85)
              | ~ c1_1(X85) ) )
        | hskp11 )
      & ( hskp9
        | hskp5
        | hskp11 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c3_1(X37)
              | c0_1(X37)
              | c2_1(X37) ) )
        | hskp30
        | hskp9 )
      & ( ( ndr1_0
          & ~ c2_1(a282)
          & c3_1(a282)
          & ~ c0_1(a282) )
        | ~ hskp24 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | ~ c2_1(X71)
              | c3_1(X71) ) )
        | hskp20
        | ! [X70] :
            ( ndr1_0
           => ( c2_1(X70)
              | c3_1(X70)
              | c1_1(X70) ) ) )
      & ( ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c2_1(X66)
              | c0_1(X66) ) )
        | hskp24
        | hskp11 )
      & ( hskp22
        | hskp2
        | hskp28 )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c2_1(X35)
              | c3_1(X35) ) )
        | hskp11
        | ! [X36] :
            ( ndr1_0
           => ( c2_1(X36)
              | c0_1(X36)
              | ~ c3_1(X36) ) ) )
      & ( hskp2
        | ! [X11] :
            ( ndr1_0
           => ( c2_1(X11)
              | ~ c0_1(X11)
              | ~ c1_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c2_1(X10)
              | c0_1(X10)
              | c1_1(X10) ) ) )
      & ( ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | ~ c3_1(X105)
              | c2_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c1_1(X104)
              | c3_1(X104)
              | c2_1(X104) ) )
        | hskp20 )
      & ( ~ hskp18
        | ( c2_1(a265)
          & c1_1(a265)
          & ndr1_0
          & ~ c0_1(a265) ) )
      & ( hskp8
        | hskp13
        | hskp11 )
      & ( hskp14
        | hskp13
        | hskp2 )
      & ( ~ hskp16
        | ( c1_1(a259)
          & ~ c3_1(a259)
          & ndr1_0
          & ~ c2_1(a259) ) )
      & ( ( c3_1(a248)
          & ~ c0_1(a248)
          & ~ c1_1(a248)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ! [X24] :
            ( ndr1_0
           => ( ~ c1_1(X24)
              | c2_1(X24)
              | ~ c0_1(X24) ) )
        | hskp7
        | ! [X23] :
            ( ndr1_0
           => ( c1_1(X23)
              | c0_1(X23)
              | c3_1(X23) ) ) )
      & ( hskp31
        | ! [X112] :
            ( ndr1_0
           => ( ~ c1_1(X112)
              | ~ c2_1(X112)
              | c3_1(X112) ) )
        | hskp21 )
      & ( ! [X9] :
            ( ndr1_0
           => ( ~ c3_1(X9)
              | ~ c1_1(X9)
              | ~ c0_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | ~ c3_1(X8)
              | ~ c1_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c2_1(X7)
              | c1_1(X7) ) ) )
      & ( ( ~ c0_1(a253)
          & c1_1(a253)
          & ~ c3_1(a253)
          & ndr1_0 )
        | ~ hskp13 )
      & ( hskp24
        | hskp27
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c2_1(X116)
              | ~ c1_1(X116) ) ) )
      & ( hskp19
        | hskp29
        | ! [X111] :
            ( ndr1_0
           => ( ~ c1_1(X111)
              | ~ c0_1(X111)
              | c3_1(X111) ) ) )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c1_1(X40)
              | c2_1(X40)
              | ~ c3_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c0_1(X39)
              | c3_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c2_1(X38)
              | ~ c1_1(X38) ) ) )
      & ( ( ~ c1_1(a257)
          & c3_1(a257)
          & ndr1_0
          & c2_1(a257) )
        | ~ hskp14 )
      & ( ! [X90] :
            ( ndr1_0
           => ( ~ c2_1(X90)
              | c3_1(X90)
              | c1_1(X90) ) )
        | hskp25
        | ! [X91] :
            ( ndr1_0
           => ( c1_1(X91)
              | ~ c0_1(X91)
              | ~ c3_1(X91) ) ) )
      & ( hskp9
        | hskp19
        | hskp8 )
      & ( ( ndr1_0
          & c0_1(a252)
          & ~ c1_1(a252)
          & ~ c3_1(a252) )
        | ~ hskp12 )
      & ( hskp18
        | hskp5
        | hskp22 )
      & ( hskp13
        | hskp12
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | c0_1(X31)
              | c1_1(X31) ) ) )
      & ( ! [X83] :
            ( ndr1_0
           => ( ~ c1_1(X83)
              | c2_1(X83)
              | ~ c3_1(X83) ) )
        | hskp29
        | ! [X82] :
            ( ndr1_0
           => ( c2_1(X82)
              | ~ c3_1(X82)
              | c1_1(X82) ) ) )
      & ( ~ hskp10
        | ( ~ c2_1(a249)
          & c3_1(a249)
          & c0_1(a249)
          & ndr1_0 ) )
      & ( hskp11
        | hskp18
        | hskp19 )
      & ( ( ~ c3_1(a276)
          & ndr1_0
          & c0_1(a276)
          & c1_1(a276) )
        | ~ hskp22 )
      & ( ~ hskp8
        | ( ndr1_0
          & c2_1(a245)
          & ~ c1_1(a245)
          & c0_1(a245) ) )
      & ( hskp10
        | ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c1_1(X29)
              | ~ c2_1(X29) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( c1_1(X20)
              | c3_1(X20)
              | c2_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c3_1(X19)
              | c1_1(X19) ) )
        | hskp6 )
      & ( ! [X88] :
            ( ndr1_0
           => ( ~ c0_1(X88)
              | c2_1(X88)
              | ~ c3_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c0_1(X87)
              | c1_1(X87) ) )
        | ! [X86] :
            ( ndr1_0
           => ( c1_1(X86)
              | c3_1(X86)
              | ~ c0_1(X86) ) ) )
      & ( hskp26
        | ! [X109] :
            ( ndr1_0
           => ( c2_1(X109)
              | ~ c1_1(X109)
              | ~ c3_1(X109) ) )
        | ! [X110] :
            ( ndr1_0
           => ( ~ c3_1(X110)
              | ~ c0_1(X110)
              | ~ c1_1(X110) ) ) )
      & ( ( ~ c0_1(a242)
          & c2_1(a242)
          & ~ c1_1(a242)
          & ndr1_0 )
        | ~ hskp6 )
      & ( hskp25
        | hskp5
        | ! [X99] :
            ( ndr1_0
           => ( c1_1(X99)
              | ~ c3_1(X99)
              | ~ c2_1(X99) ) ) )
      & ( hskp29
        | hskp5
        | ! [X18] :
            ( ndr1_0
           => ( c2_1(X18)
              | c0_1(X18)
              | c1_1(X18) ) ) )
      & ( ( c0_1(a237)
          & c1_1(a237)
          & ndr1_0
          & c2_1(a237) )
        | ~ hskp28 )
      & ( hskp4
        | ! [X115] :
            ( ndr1_0
           => ( ~ c3_1(X115)
              | ~ c0_1(X115)
              | ~ c1_1(X115) ) ) )
      & ( hskp31
        | ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | c2_1(X47)
              | ~ c3_1(X47) ) )
        | hskp14 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c3_1(X93)
              | ~ c0_1(X93)
              | ~ c2_1(X93) ) )
        | hskp5
        | ! [X92] :
            ( ndr1_0
           => ( c3_1(X92)
              | ~ c2_1(X92)
              | c1_1(X92) ) ) )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | ~ c3_1(X50)
              | ~ c2_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c1_1(X49)
              | c0_1(X49)
              | c3_1(X49) ) )
        | hskp10 )
      & ( ( c3_1(a239)
          & ndr1_0
          & ~ c2_1(a239)
          & ~ c1_1(a239) )
        | ~ hskp4 )
      & ( ! [X42] :
            ( ndr1_0
           => ( c3_1(X42)
              | ~ c1_1(X42)
              | c0_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | ~ c1_1(X41)
              | c2_1(X41) ) )
        | hskp14 )
      & ( ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c2_1(X4)
              | c1_1(X4) ) )
        | ! [X6] :
            ( ndr1_0
           => ( ~ c3_1(X6)
              | c2_1(X6)
              | ~ c1_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( ~ c1_1(X5)
              | c3_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp29
        | ! [X89] :
            ( ndr1_0
           => ( c3_1(X89)
              | c1_1(X89)
              | ~ c0_1(X89) ) ) )
      & ( hskp23
        | ! [X65] :
            ( ndr1_0
           => ( c0_1(X65)
              | ~ c2_1(X65)
              | ~ c3_1(X65) ) )
        | hskp24 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c1_1(X28)
              | c0_1(X28)
              | ~ c2_1(X28) ) )
        | hskp31
        | hskp9 )
      & ( hskp1
        | ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c1_1(X2)
              | c2_1(X2) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c2_1(X3)
              | ~ c3_1(X3) ) ) )
      & ( ! [X114] :
            ( ndr1_0
           => ( ~ c0_1(X114)
              | ~ c3_1(X114)
              | ~ c2_1(X114) ) )
        | hskp4
        | ! [X113] :
            ( ndr1_0
           => ( ~ c3_1(X113)
              | ~ c1_1(X113)
              | ~ c0_1(X113) ) ) )
      & ( ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | c3_1(X72)
              | c2_1(X72) ) )
        | hskp4
        | ! [X73] :
            ( ndr1_0
           => ( ~ c2_1(X73)
              | ~ c0_1(X73)
              | ~ c1_1(X73) ) ) )
      & ( hskp17
        | ! [X94] :
            ( ndr1_0
           => ( ~ c2_1(X94)
              | c3_1(X94)
              | c1_1(X94) ) )
        | hskp9 )
      & ( ~ hskp19
        | ( c3_1(a269)
          & ndr1_0
          & c0_1(a269)
          & ~ c1_1(a269) ) )
      & ( ( c2_1(a251)
          & ~ c1_1(a251)
          & ndr1_0
          & ~ c3_1(a251) )
        | ~ hskp11 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c3_1(X52)
              | ~ c2_1(X52)
              | c0_1(X52) ) )
        | hskp28
        | hskp4 )
      & ( ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | c2_1(X45)
              | c0_1(X45) ) )
        | hskp16
        | ! [X46] :
            ( ndr1_0
           => ( c3_1(X46)
              | ~ c1_1(X46)
              | ~ c2_1(X46) ) ) )
      & ( hskp7
        | ! [X97] :
            ( ndr1_0
           => ( c1_1(X97)
              | ~ c2_1(X97)
              | ~ c3_1(X97) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c1_1(X98)
              | ~ c0_1(X98)
              | c2_1(X98) ) ) )
      & ( ! [X68] :
            ( ndr1_0
           => ( c2_1(X68)
              | ~ c0_1(X68)
              | c1_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c2_1(X67)
              | c3_1(X67)
              | c1_1(X67) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c0_1(X69)
              | ~ c3_1(X69)
              | c1_1(X69) ) ) )
      & ( ~ hskp15
        | ( ~ c0_1(a258)
          & ~ c2_1(a258)
          & ndr1_0
          & ~ c3_1(a258) ) )
      & ( ~ hskp23
        | ( c3_1(a281)
          & ndr1_0
          & ~ c2_1(a281)
          & c1_1(a281) ) )
      & ( hskp13
        | hskp24
        | hskp23 )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c1_1(X27)
              | ~ c2_1(X27) ) )
        | hskp31 )
      & ( ( c2_1(a246)
          & ndr1_0
          & c0_1(a246)
          & c3_1(a246) )
        | ~ hskp31 )
      & ( ! [X63] :
            ( ndr1_0
           => ( ~ c1_1(X63)
              | ~ c0_1(X63)
              | c2_1(X63) ) )
        | hskp31
        | ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | c0_1(X62)
              | ~ c3_1(X62) ) ) )
      & ( ! [X15] :
            ( ndr1_0
           => ( ~ c1_1(X15)
              | ~ c0_1(X15)
              | ~ c3_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | c2_1(X14) ) )
        | hskp3 )
      & ( ~ hskp27
        | ( ~ c1_1(a322)
          & ndr1_0
          & ~ c3_1(a322)
          & ~ c2_1(a322) ) )
      & ( ! [X95] :
            ( ndr1_0
           => ( ~ c3_1(X95)
              | c1_1(X95)
              | ~ c0_1(X95) ) )
        | hskp5
        | hskp10 )
      & ( ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | ~ c1_1(X79)
              | c3_1(X79) ) )
        | ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c2_1(X77)
              | ~ c3_1(X77) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c1_1(X78)
              | c2_1(X78)
              | c3_1(X78) ) ) )
      & ( hskp8
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | c0_1(X56)
              | ~ c1_1(X56) ) )
        | hskp13 )
      & ( hskp3
        | hskp12
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c0_1(X96)
              | c1_1(X96) ) ) )
      & ( ( ~ c2_1(a235)
          & ~ c0_1(a235)
          & ndr1_0
          & ~ c1_1(a235) )
        | ~ hskp1 )
      & ( hskp18
        | hskp9
        | ! [X51] :
            ( ndr1_0
           => ( c3_1(X51)
              | c0_1(X51)
              | ~ c1_1(X51) ) ) )
      & ( hskp30
        | ! [X22] :
            ( ndr1_0
           => ( c3_1(X22)
              | c1_1(X22)
              | ~ c0_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c3_1(X21)
              | c0_1(X21)
              | c1_1(X21) ) ) )
      & ( hskp7
        | hskp15
        | hskp8 )
      & ( ( c1_1(a271)
          & ~ c2_1(a271)
          & ndr1_0
          & c0_1(a271) )
        | ~ hskp20 )
      & ( ( ~ c3_1(a263)
          & ~ c1_1(a263)
          & ~ c0_1(a263)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c1_1(X101)
              | c2_1(X101) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c0_1(X102)
              | ~ c1_1(X102) ) )
        | ! [X100] :
            ( ndr1_0
           => ( c3_1(X100)
              | c2_1(X100)
              | ~ c0_1(X100) ) ) )
      & ( hskp18
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c1_1(X74)
              | c2_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | c2_1(X75)
              | c1_1(X75) ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c3_1(a236)
          & c1_1(a236)
          & ~ c0_1(a236) ) )
      & ( ~ hskp7
        | ( ~ c2_1(a244)
          & c0_1(a244)
          & ~ c1_1(a244)
          & ndr1_0 ) )
      & ( hskp19
        | hskp17
        | ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c3_1(X64)
              | ~ c2_1(X64) ) ) )
      & ( hskp21
        | ! [X58] :
            ( ndr1_0
           => ( c2_1(X58)
              | c1_1(X58)
              | c3_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c1_1(X57)
              | c0_1(X57) ) ) )
      & ( ( c3_1(a240)
          & c1_1(a240)
          & c2_1(a240)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c2_1(a314)
          & ndr1_0
          & ~ c0_1(a314)
          & ~ c3_1(a314) )
        | ~ hskp26 )
      & ( ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | ~ c1_1(X60)
              | ~ c2_1(X60) ) )
        | hskp11
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c1_1(X59)
              | c0_1(X59) ) ) )
      & ( hskp22
        | ! [X61] :
            ( ndr1_0
           => ( ~ c1_1(X61)
              | ~ c3_1(X61)
              | c0_1(X61) ) )
        | hskp18 )
      & ( hskp28
        | ! [X12] :
            ( ndr1_0
           => ( c1_1(X12)
              | c2_1(X12)
              | c0_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | ~ c1_1(X13)
              | ~ c0_1(X13) ) ) )
      & ( ! [X107] :
            ( ndr1_0
           => ( c2_1(X107)
              | ~ c1_1(X107)
              | c3_1(X107) ) )
        | hskp31
        | hskp4 )
      & ( ( c3_1(a243)
          & ndr1_0
          & c0_1(a243)
          & c1_1(a243) )
        | ~ hskp30 )
      & ( ! [X103] :
            ( ndr1_0
           => ( c2_1(X103)
              | ~ c0_1(X103)
              | c3_1(X103) ) )
        | hskp22
        | hskp7 )
      & ( ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | c2_1(X34)
              | ~ c0_1(X34) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c2_1(X32)
              | c3_1(X32)
              | c0_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | ~ c3_1(X33)
              | c2_1(X33) ) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | hskp0
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c3_1(X1)
              | c2_1(X1) ) ) )
      & ( hskp20
        | hskp2
        | ! [X106] :
            ( ndr1_0
           => ( c2_1(X106)
              | ~ c1_1(X106)
              | c3_1(X106) ) ) )
      & ( hskp16
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | c3_1(X53)
              | c0_1(X53) ) )
        | hskp19 )
      & ( hskp4
        | ! [X16] :
            ( ndr1_0
           => ( c2_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c1_1(X17)
              | ~ c2_1(X17)
              | ~ c3_1(X17) ) ) )
      & ( hskp11
        | ! [X76] :
            ( ndr1_0
           => ( ~ c0_1(X76)
              | c1_1(X76)
              | c2_1(X76) ) )
        | hskp16 )
      & ( hskp19
        | hskp15
        | ! [X108] :
            ( ndr1_0
           => ( c2_1(X108)
              | ~ c1_1(X108)
              | c3_1(X108) ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c3_1(a241)
          & c2_1(a241)
          & ~ c0_1(a241) ) )
      & ( ( ndr1_0
          & ~ c3_1(a294)
          & c2_1(a294)
          & c1_1(a294) )
        | ~ hskp25 )
      & ( hskp29
        | ! [X48] :
            ( ndr1_0
           => ( c2_1(X48)
              | c0_1(X48)
              | ~ c3_1(X48) ) )
        | hskp17 )
      & ( hskp13
        | hskp24
        | hskp8 )
      & ( ! [X26] :
            ( ndr1_0
           => ( ~ c0_1(X26)
              | ~ c2_1(X26)
              | c3_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c2_1(X25)
              | c1_1(X25)
              | c0_1(X25) ) )
        | hskp8 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c2_1(X43)
              | ~ c1_1(X43) ) )
        | hskp15
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | ~ c0_1(X44)
              | c1_1(X44) ) ) )
      & ( ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | c0_1(X54)
              | ~ c1_1(X54) ) )
        | hskp20
        | ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | ~ c0_1(X55)
              | c3_1(X55) ) ) )
      & ( ~ hskp21
        | ( c0_1(a274)
          & ~ c3_1(a274)
          & c2_1(a274)
          & ndr1_0 ) )
      & ( ! [X81] :
            ( ndr1_0
           => ( c2_1(X81)
              | ~ c1_1(X81)
              | c3_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | ~ c3_1(X80)
              | c2_1(X80) ) )
        | hskp10 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f1026,plain,
    ( ~ spl0_5
    | spl0_61
    | spl0_84
    | spl0_6 ),
    inference(avatar_split_clause,[],[f65,f238,f599,f482,f233]) ).

fof(f233,plain,
    ( spl0_5
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f65,plain,
    ! [X72,X71] :
      ( c1_1(X72)
      | c0_1(X72)
      | hskp3
      | ~ c1_1(X71)
      | ~ c0_1(X71)
      | ~ c3_1(X71)
      | ~ ndr1_0
      | c2_1(X72) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1025,plain,
    ( spl0_34
    | spl0_41
    | ~ spl0_5
    | spl0_30 ),
    inference(avatar_split_clause,[],[f16,f343,f233,f393,f364]) ).

fof(f364,plain,
    ( spl0_34
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f343,plain,
    ( spl0_30
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f16,plain,
    ! [X73] :
      ( hskp5
      | ~ ndr1_0
      | c1_1(X73)
      | ~ c3_1(X73)
      | ~ c0_1(X73)
      | hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1024,plain,
    ( spl0_23
    | spl0_43
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f75,f233,f399,f314]) ).

fof(f314,plain,
    ( spl0_23
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f75,plain,
    ! [X50] :
      ( ~ ndr1_0
      | c3_1(X50)
      | c1_1(X50)
      | hskp29
      | ~ c0_1(X50) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1023,plain,
    ( spl0_2
    | spl0_74
    | ~ spl0_5
    | spl0_90 ),
    inference(avatar_split_clause,[],[f21,f629,f233,f541,f220]) ).

fof(f220,plain,
    ( spl0_2
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f629,plain,
    ( spl0_90
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f21,plain,
    ! [X40] :
      ( hskp31
      | ~ ndr1_0
      | c0_1(X40)
      | hskp14
      | ~ c3_1(X40)
      | c2_1(X40) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1021,plain,
    ( ~ spl0_30
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f153,f1018,f343]) ).

fof(f153,plain,
    ( ~ c0_1(a241)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1016,plain,
    ( spl0_58
    | spl0_74
    | ~ spl0_5
    | spl0_70 ),
    inference(avatar_split_clause,[],[f47,f521,f233,f541,f468]) ).

fof(f468,plain,
    ( spl0_58
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f47,plain,
    ! [X62,X61] :
      ( ~ c1_1(X62)
      | ~ ndr1_0
      | c3_1(X62)
      | ~ c3_1(X61)
      | ~ c2_1(X62)
      | hskp16
      | c0_1(X61)
      | c2_1(X61) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1015,plain,
    ( spl0_158
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f144,f409,f1012]) ).

fof(f409,plain,
    ( spl0_46
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f144,plain,
    ( ~ hskp11
    | c2_1(a251) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1010,plain,
    ( spl0_5
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f172,f250,f233]) ).

fof(f250,plain,
    ( spl0_9
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f172,plain,
    ( ~ hskp24
    | ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1008,plain,
    ( ~ spl0_30
    | spl0_157 ),
    inference(avatar_split_clause,[],[f155,f1005,f343]) ).

fof(f155,plain,
    ( c3_1(a241)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1003,plain,
    ( spl0_156
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f91,f380,f1000]) ).

fof(f380,plain,
    ( spl0_38
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f91,plain,
    ( ~ hskp12
    | c0_1(a252) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f997,plain,
    ( ~ spl0_3
    | spl0_155 ),
    inference(avatar_split_clause,[],[f167,f994,f224]) ).

fof(f224,plain,
    ( spl0_3
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f167,plain,
    ( c3_1(a236)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f992,plain,
    ( spl0_67
    | ~ spl0_5
    | spl0_52
    | spl0_86 ),
    inference(avatar_split_clause,[],[f27,f610,f439,f233,f508]) ).

fof(f508,plain,
    ( spl0_67
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f27,plain,
    ! [X4,X5] :
      ( c3_1(X5)
      | c3_1(X4)
      | ~ ndr1_0
      | ~ c2_1(X4)
      | c1_1(X4)
      | c2_1(X5)
      | hskp20
      | c1_1(X5) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f991,plain,
    ( spl0_5
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f157,f216,f233]) ).

fof(f216,plain,
    ( spl0_1
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f157,plain,
    ( ~ hskp13
    | ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f975,plain,
    ( ~ spl0_151
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f140,f291,f972]) ).

fof(f291,plain,
    ( spl0_18
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f140,plain,
    ( ~ hskp27
    | ~ c1_1(a322) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f968,plain,
    ( ~ spl0_5
    | spl0_34
    | spl0_111 ),
    inference(avatar_split_clause,[],[f45,f739,f364,f233]) ).

fof(f45,plain,
    ! [X29] :
      ( c0_1(X29)
      | ~ c2_1(X29)
      | c1_1(X29)
      | hskp10
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f943,plain,
    ( spl0_146
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f100,f629,f940]) ).

fof(f100,plain,
    ( ~ hskp31
    | c2_1(a246) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f932,plain,
    ( spl0_77
    | spl0_30
    | spl0_46 ),
    inference(avatar_split_clause,[],[f214,f409,f343,f558]) ).

fof(f558,plain,
    ( spl0_77
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f214,plain,
    ( hskp11
    | hskp5
    | hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f931,plain,
    ( spl0_77
    | spl0_24
    | ~ spl0_5
    | spl0_52 ),
    inference(avatar_split_clause,[],[f56,f439,f233,f319,f558]) ).

fof(f319,plain,
    ( spl0_24
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f56,plain,
    ! [X59] :
      ( c3_1(X59)
      | ~ ndr1_0
      | ~ c2_1(X59)
      | hskp17
      | hskp9
      | c1_1(X59) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f923,plain,
    ( ~ spl0_143
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f94,f245,f920]) ).

fof(f245,plain,
    ( spl0_8
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f94,plain,
    ( ~ hskp4
    | ~ c2_1(a239) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f908,plain,
    ( ~ spl0_5
    | spl0_90
    | spl0_25
    | spl0_7 ),
    inference(avatar_split_clause,[],[f52,f241,f323,f629,f233]) ).

fof(f52,plain,
    ! [X70,X69] :
      ( ~ c0_1(X69)
      | ~ c2_1(X70)
      | hskp31
      | ~ c3_1(X70)
      | c0_1(X70)
      | c2_1(X69)
      | ~ c1_1(X69)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f907,plain,
    ( ~ spl0_141
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f118,f558,f904]) ).

fof(f118,plain,
    ( ~ hskp9
    | ~ c1_1(a248) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f898,plain,
    ( ~ spl0_5
    | spl0_25
    | spl0_34
    | spl0_69 ),
    inference(avatar_split_clause,[],[f31,f517,f364,f323,f233]) ).

fof(f31,plain,
    ! [X44,X43] :
      ( ~ c1_1(X44)
      | hskp10
      | ~ c3_1(X43)
      | c0_1(X43)
      | ~ c2_1(X43)
      | c3_1(X44)
      | ~ ndr1_0
      | c0_1(X44) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f897,plain,
    ( ~ spl0_38
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f89,f894,f380]) ).

fof(f89,plain,
    ( ~ c3_1(a252)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f888,plain,
    ( spl0_137
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f179,f335,f885]) ).

fof(f335,plain,
    ( spl0_28
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f179,plain,
    ( ~ hskp18
    | c1_1(a265) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f883,plain,
    ( spl0_136
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f180,f335,f880]) ).

fof(f180,plain,
    ( ~ hskp18
    | c2_1(a265) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f871,plain,
    ( ~ spl0_134
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f119,f558,f868]) ).

fof(f119,plain,
    ( ~ hskp9
    | ~ c0_1(a248) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f866,plain,
    ( ~ spl0_2
    | spl0_133 ),
    inference(avatar_split_clause,[],[f105,f863,f220]) ).

fof(f105,plain,
    ( c2_1(a257)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f861,plain,
    ( ~ spl0_3
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f165,f858,f224]) ).

fof(f165,plain,
    ( ~ c0_1(a236)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f856,plain,
    ( ~ spl0_1
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f158,f853,f216]) ).

fof(f158,plain,
    ( ~ c3_1(a253)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f841,plain,
    ( ~ spl0_90
    | spl0_128 ),
    inference(avatar_split_clause,[],[f97,f838,f629]) ).

fof(f97,plain,
    ( c3_1(a246)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f829,plain,
    ( ~ spl0_5
    | spl0_61
    | spl0_8 ),
    inference(avatar_split_clause,[],[f70,f245,f482,f233]) ).

fof(f70,plain,
    ! [X39] :
      ( hskp4
      | ~ c0_1(X39)
      | ~ c3_1(X39)
      | ~ ndr1_0
      | ~ c1_1(X39) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f823,plain,
    ( ~ spl0_58
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f181,f820,f468]) ).

fof(f181,plain,
    ( ~ c2_1(a259)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f817,plain,
    ( spl0_12
    | spl0_111
    | ~ spl0_5
    | spl0_46 ),
    inference(avatar_split_clause,[],[f74,f409,f233,f739,f263]) ).

fof(f263,plain,
    ( spl0_12
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f74,plain,
    ! [X0] :
      ( hskp11
      | ~ ndr1_0
      | c1_1(X0)
      | hskp7
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f806,plain,
    ( spl0_36
    | ~ spl0_5
    | spl0_90
    | spl0_8 ),
    inference(avatar_split_clause,[],[f42,f245,f629,f233,f371]) ).

fof(f42,plain,
    ! [X95] :
      ( hskp4
      | hskp31
      | ~ ndr1_0
      | c2_1(X95)
      | c3_1(X95)
      | ~ c1_1(X95) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f805,plain,
    ( ~ spl0_122
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f87,f599,f802]) ).

fof(f87,plain,
    ( ~ hskp3
    | ~ c2_1(a238) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f794,plain,
    ( ~ spl0_120
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f183,f468,f791]) ).

fof(f183,plain,
    ( ~ hskp16
    | ~ c3_1(a259) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f789,plain,
    ( ~ spl0_119
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f114,f263,f786]) ).

fof(f114,plain,
    ( ~ hskp7
    | ~ c1_1(a244) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f784,plain,
    ( ~ spl0_84
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f85,f781,f599]) ).

fof(f85,plain,
    ( ~ c3_1(a238)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f777,plain,
    ( ~ spl0_117
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f108,f220,f774]) ).

fof(f108,plain,
    ( ~ hskp14
    | ~ c1_1(a257) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f772,plain,
    ( ~ spl0_5
    | spl0_23
    | spl0_35
    | spl0_62 ),
    inference(avatar_split_clause,[],[f76,f485,f368,f314,f233]) ).

fof(f76,plain,
    ! [X28,X27] :
      ( ~ c1_1(X27)
      | c2_1(X28)
      | ~ c3_1(X28)
      | hskp29
      | ~ c3_1(X27)
      | c1_1(X28)
      | c2_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f771,plain,
    ( spl0_116
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f120,f558,f768]) ).

fof(f120,plain,
    ( ~ hskp9
    | c3_1(a248) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f765,plain,
    ( spl0_115
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f79,f364,f762]) ).

fof(f79,plain,
    ( ~ hskp10
    | c3_1(a249) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f732,plain,
    ( spl0_9
    | spl0_1
    | spl0_26 ),
    inference(avatar_split_clause,[],[f211,f327,f216,f250]) ).

fof(f327,plain,
    ( spl0_26
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f211,plain,
    ( hskp8
    | hskp13
    | hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f726,plain,
    ( spl0_108
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f125,f309,f723]) ).

fof(f309,plain,
    ( spl0_22
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f125,plain,
    ( ~ hskp25
    | c1_1(a294) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f719,plain,
    ( spl0_107
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f149,f508,f716]) ).

fof(f149,plain,
    ( ~ hskp20
    | c0_1(a271) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f714,plain,
    ( ~ spl0_34
    | spl0_106 ),
    inference(avatar_split_clause,[],[f78,f711,f364]) ).

fof(f78,plain,
    ( c0_1(a249)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f709,plain,
    ( spl0_105
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f107,f220,f706]) ).

fof(f107,plain,
    ( ~ hskp14
    | c3_1(a257) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f704,plain,
    ( spl0_28
    | ~ spl0_5
    | spl0_57
    | spl0_35 ),
    inference(avatar_split_clause,[],[f44,f368,f465,f233,f335]) ).

fof(f44,plain,
    ! [X86,X85] :
      ( ~ c3_1(X86)
      | c2_1(X86)
      | c1_1(X85)
      | ~ ndr1_0
      | hskp18
      | c2_1(X85)
      | ~ c0_1(X85)
      | c1_1(X86) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f698,plain,
    ( ~ spl0_103
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f104,f319,f695]) ).

fof(f104,plain,
    ( ~ hskp17
    | ~ c3_1(a263) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f692,plain,
    ( spl0_102
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f152,f508,f689]) ).

fof(f152,plain,
    ( ~ hskp20
    | c1_1(a271) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f687,plain,
    ( spl0_22
    | spl0_68
    | spl0_30
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f24,f233,f343,f513,f309]) ).

fof(f24,plain,
    ! [X37] :
      ( ~ ndr1_0
      | hskp5
      | ~ c2_1(X37)
      | c1_1(X37)
      | ~ c3_1(X37)
      | hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f677,plain,
    ( ~ spl0_99
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f93,f245,f674]) ).

fof(f93,plain,
    ( ~ hskp4
    | ~ c1_1(a239) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f672,plain,
    ( ~ spl0_22
    | spl0_98 ),
    inference(avatar_split_clause,[],[f126,f669,f309]) ).

fof(f126,plain,
    ( c2_1(a294)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f657,plain,
    ( ~ spl0_16
    | spl0_95 ),
    inference(avatar_split_clause,[],[f130,f654,f282]) ).

fof(f282,plain,
    ( spl0_16
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f130,plain,
    ( c0_1(a269)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f651,plain,
    ( spl0_94
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f184,f468,f648]) ).

fof(f184,plain,
    ( ~ hskp16
    | c1_1(a259) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f636,plain,
    ( ~ spl0_90
    | spl0_91 ),
    inference(avatar_split_clause,[],[f98,f633,f629]) ).

fof(f98,plain,
    ( c0_1(a246)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f627,plain,
    ( ~ spl0_24
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f102,f624,f319]) ).

fof(f102,plain,
    ( ~ c0_1(a263)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f622,plain,
    ( ~ spl0_88
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f90,f380,f619]) ).

fof(f90,plain,
    ( ~ hskp12
    | ~ c1_1(a252) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f617,plain,
    ( ~ spl0_28
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f177,f614,f335]) ).

fof(f177,plain,
    ( ~ c0_1(a265)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f612,plain,
    ( spl0_41
    | ~ spl0_5
    | spl0_57
    | spl0_86 ),
    inference(avatar_split_clause,[],[f63,f610,f465,f233,f393]) ).

fof(f63,plain,
    ! [X65,X66,X67] :
      ( c2_1(X66)
      | c1_1(X65)
      | ~ ndr1_0
      | ~ c0_1(X67)
      | ~ c3_1(X67)
      | c1_1(X67)
      | c2_1(X65)
      | c1_1(X66)
      | ~ c0_1(X65)
      | c3_1(X66) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f608,plain,
    ( spl0_85
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f124,f314,f605]) ).

fof(f124,plain,
    ( ~ hskp29
    | c3_1(a240) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f602,plain,
    ( ~ spl0_5
    | spl0_38
    | spl0_41
    | spl0_84 ),
    inference(avatar_split_clause,[],[f10,f599,f393,f380,f233]) ).

fof(f10,plain,
    ! [X78] :
      ( hskp3
      | ~ c3_1(X78)
      | c1_1(X78)
      | ~ c0_1(X78)
      | hskp12
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f592,plain,
    ( ~ spl0_82
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f143,f409,f589]) ).

fof(f143,plain,
    ( ~ hskp11
    | ~ c1_1(a251) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f587,plain,
    ( spl0_16
    | spl0_46
    | spl0_28 ),
    inference(avatar_split_clause,[],[f206,f335,f409,f282]) ).

fof(f206,plain,
    ( hskp18
    | hskp11
    | hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f586,plain,
    ( ~ spl0_5
    | spl0_18
    | spl0_9
    | spl0_44 ),
    inference(avatar_split_clause,[],[f34,f403,f250,f291,f233]) ).

fof(f34,plain,
    ! [X19] :
      ( ~ c3_1(X19)
      | hskp24
      | hskp27
      | ~ ndr1_0
      | ~ c1_1(X19)
      | ~ c2_1(X19) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f585,plain,
    ( ~ spl0_24
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f103,f582,f319]) ).

fof(f103,plain,
    ( ~ c1_1(a263)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f580,plain,
    ( ~ spl0_16
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f129,f577,f282]) ).

fof(f129,plain,
    ( ~ c1_1(a269)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f575,plain,
    ( ~ spl0_5
    | spl0_61
    | spl0_45
    | spl0_6 ),
    inference(avatar_split_clause,[],[f30,f238,f406,f482,f233]) ).

fof(f30,plain,
    ! [X18,X16,X17] :
      ( c0_1(X18)
      | ~ c1_1(X17)
      | c2_1(X18)
      | ~ c1_1(X16)
      | c0_1(X17)
      | ~ c0_1(X16)
      | c1_1(X18)
      | ~ ndr1_0
      | ~ c3_1(X16)
      | ~ c3_1(X17) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f573,plain,
    ( ~ spl0_79
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f80,f364,f570]) ).

fof(f80,plain,
    ( ~ hskp10
    | ~ c2_1(a249) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f563,plain,
    ( spl0_5
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f136,f327,f233]) ).

fof(f136,plain,
    ( ~ hskp8
    | ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f562,plain,
    ( spl0_30
    | spl0_6
    | spl0_23
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f33,f233,f314,f238,f343]) ).

fof(f33,plain,
    ! [X38] :
      ( ~ ndr1_0
      | hskp29
      | c1_1(X38)
      | c0_1(X38)
      | hskp5
      | c2_1(X38) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f556,plain,
    ( spl0_36
    | spl0_35
    | ~ spl0_5
    | spl0_70 ),
    inference(avatar_split_clause,[],[f14,f521,f233,f368,f371]) ).

fof(f14,plain,
    ! [X76,X74,X75] :
      ( ~ c2_1(X74)
      | ~ ndr1_0
      | ~ c3_1(X75)
      | c3_1(X76)
      | c2_1(X75)
      | c2_1(X76)
      | c1_1(X75)
      | c3_1(X74)
      | ~ c1_1(X76)
      | ~ c1_1(X74) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f554,plain,
    ( spl0_24
    | ~ spl0_5
    | spl0_74
    | spl0_23 ),
    inference(avatar_split_clause,[],[f20,f314,f541,f233,f319]) ).

fof(f20,plain,
    ! [X108] :
      ( hskp29
      | c0_1(X108)
      | ~ ndr1_0
      | hskp17
      | ~ c3_1(X108)
      | c2_1(X108) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f548,plain,
    ( spl0_75
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f170,f250,f545]) ).

fof(f170,plain,
    ( ~ hskp24
    | c3_1(a282) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f543,plain,
    ( spl0_46
    | spl0_73
    | ~ spl0_5
    | spl0_74 ),
    inference(avatar_split_clause,[],[f41,f541,f233,f538,f409]) ).

fof(f41,plain,
    ! [X8,X7] :
      ( c2_1(X8)
      | ~ ndr1_0
      | ~ c3_1(X8)
      | c0_1(X7)
      | c2_1(X7)
      | c3_1(X7)
      | hskp11
      | c0_1(X8) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f536,plain,
    ( spl0_72
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f123,f314,f533]) ).

fof(f123,plain,
    ( ~ hskp29
    | c1_1(a240) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f523,plain,
    ( spl0_46
    | spl0_70
    | ~ spl0_5
    | spl0_35 ),
    inference(avatar_split_clause,[],[f67,f368,f233,f521,f409]) ).

fof(f67,plain,
    ! [X2,X1] :
      ( c1_1(X1)
      | ~ ndr1_0
      | c3_1(X2)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | c2_1(X1)
      | hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f515,plain,
    ( ~ spl0_5
    | spl0_12
    | spl0_68
    | spl0_7 ),
    inference(avatar_split_clause,[],[f43,f241,f513,f263,f233]) ).

fof(f43,plain,
    ! [X63,X64] :
      ( c2_1(X64)
      | ~ c3_1(X63)
      | ~ c2_1(X63)
      | c1_1(X63)
      | ~ c1_1(X64)
      | ~ c0_1(X64)
      | hskp7
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f511,plain,
    ( ~ spl0_66
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f151,f508,f504]) ).

fof(f151,plain,
    ( ~ hskp20
    | ~ c2_1(a271) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f502,plain,
    ( spl0_65
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f122,f314,f499]) ).

fof(f122,plain,
    ( ~ hskp29
    | c2_1(a240) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f497,plain,
    ( ~ spl0_9
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f171,f494,f250]) ).

fof(f171,plain,
    ( ~ c2_1(a282)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f492,plain,
    ( ~ spl0_1
    | spl0_63 ),
    inference(avatar_split_clause,[],[f159,f489,f216]) ).

fof(f159,plain,
    ( c1_1(a253)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f476,plain,
    ( ~ spl0_3
    | spl0_59 ),
    inference(avatar_split_clause,[],[f166,f473,f224]) ).

fof(f166,plain,
    ( c1_1(a236)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f471,plain,
    ( spl0_46
    | spl0_57
    | ~ spl0_5
    | spl0_58 ),
    inference(avatar_split_clause,[],[f50,f468,f233,f465,f409]) ).

fof(f50,plain,
    ! [X106] :
      ( hskp16
      | ~ ndr1_0
      | ~ c0_1(X106)
      | c1_1(X106)
      | c2_1(X106)
      | hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f452,plain,
    ( spl0_46
    | spl0_9
    | spl0_25
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f17,f233,f323,f250,f409]) ).

fof(f17,plain,
    ! [X6] :
      ( ~ ndr1_0
      | ~ c2_1(X6)
      | ~ c3_1(X6)
      | c0_1(X6)
      | hskp24
      | hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f451,plain,
    ( ~ spl0_46
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f141,f448,f409]) ).

fof(f141,plain,
    ( ~ c3_1(a251)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f441,plain,
    ( spl0_52
    | spl0_22
    | ~ spl0_5
    | spl0_41 ),
    inference(avatar_split_clause,[],[f36,f393,f233,f309,f439]) ).

fof(f36,plain,
    ! [X24,X25] :
      ( c1_1(X25)
      | ~ ndr1_0
      | ~ c0_1(X25)
      | ~ c3_1(X25)
      | hskp25
      | c3_1(X24)
      | ~ c2_1(X24)
      | c1_1(X24) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f437,plain,
    ( ~ spl0_12
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f116,f434,f263]) ).

fof(f116,plain,
    ( ~ c2_1(a244)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f432,plain,
    ( ~ spl0_50
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f137,f291,f429]) ).

fof(f137,plain,
    ( ~ hskp27
    | ~ c2_1(a322) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f418,plain,
    ( ~ spl0_30
    | spl0_47 ),
    inference(avatar_split_clause,[],[f154,f415,f343]) ).

fof(f154,plain,
    ( c2_1(a241)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f412,plain,
    ( spl0_44
    | spl0_45
    | spl0_46
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f23,f233,f409,f406,f403]) ).

fof(f23,plain,
    ! [X90,X91] :
      ( ~ ndr1_0
      | hskp11
      | c0_1(X91)
      | ~ c1_1(X91)
      | ~ c3_1(X90)
      | ~ c1_1(X90)
      | ~ c3_1(X91)
      | ~ c2_1(X90) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f401,plain,
    ( spl0_41
    | ~ spl0_5
    | spl0_42
    | spl0_43 ),
    inference(avatar_split_clause,[],[f18,f399,f396,f233,f393]) ).

fof(f18,plain,
    ! [X34,X32,X33] :
      ( c1_1(X34)
      | c2_1(X32)
      | ~ ndr1_0
      | ~ c0_1(X32)
      | ~ c0_1(X34)
      | c3_1(X34)
      | ~ c0_1(X33)
      | c1_1(X33)
      | ~ c3_1(X32)
      | ~ c3_1(X33) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f391,plain,
    ( ~ spl0_8
    | spl0_40 ),
    inference(avatar_split_clause,[],[f96,f388,f245]) ).

fof(f96,plain,
    ( c3_1(a239)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f386,plain,
    ( spl0_38
    | spl0_1
    | ~ spl0_5
    | spl0_39 ),
    inference(avatar_split_clause,[],[f73,f384,f233,f216,f380]) ).

fof(f73,plain,
    ! [X26] :
      ( ~ c3_1(X26)
      | ~ ndr1_0
      | c1_1(X26)
      | hskp13
      | hskp12
      | c0_1(X26) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f373,plain,
    ( ~ spl0_5
    | spl0_34
    | spl0_35
    | spl0_36 ),
    inference(avatar_split_clause,[],[f69,f371,f368,f364,f233]) ).

fof(f69,plain,
    ! [X116,X115] :
      ( ~ c1_1(X115)
      | ~ c3_1(X116)
      | hskp10
      | c3_1(X115)
      | ~ ndr1_0
      | c2_1(X116)
      | c2_1(X115)
      | c1_1(X116) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f351,plain,
    ( ~ spl0_22
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f127,f348,f309]) ).

fof(f127,plain,
    ( ~ c3_1(a294)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f298,plain,
    ( ~ spl0_18
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f138,f295,f291]) ).

fof(f138,plain,
    ( ~ c3_1(a322)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f289,plain,
    ( ~ spl0_16
    | spl0_17 ),
    inference(avatar_split_clause,[],[f132,f286,f282]) ).

fof(f132,plain,
    ( c3_1(a269)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f271,plain,
    ( ~ spl0_13
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f160,f216,f268]) ).

fof(f160,plain,
    ( ~ hskp13
    | ~ c0_1(a253) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f266,plain,
    ( spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f115,f263,f259]) ).

fof(f115,plain,
    ( ~ hskp7
    | c0_1(a244) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f257,plain,
    ( ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f169,f254,f250]) ).

fof(f169,plain,
    ( ~ c0_1(a282)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f243,plain,
    ( ~ spl0_5
    | spl0_3
    | spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f48,f241,f238,f224,f233]) ).

fof(f48,plain,
    ! [X10,X9] :
      ( ~ c1_1(X9)
      | c1_1(X10)
      | ~ c0_1(X9)
      | c2_1(X10)
      | c2_1(X9)
      | c0_1(X10)
      | hskp2
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SYN502+1 : TPTP v8.1.0. Released v2.1.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 21:57:17 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.56  % (11306)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)
% 0.20/0.56  % (11298)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)
% 0.20/0.57  % (11296)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.57  % (11290)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.57  % (11289)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)
% 0.20/0.57  % (11295)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.58  % (11294)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)
% 0.20/0.58  % (11304)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.58  % (11290)Instruction limit reached!
% 0.20/0.58  % (11290)------------------------------
% 0.20/0.58  % (11290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (11290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (11290)Termination reason: Unknown
% 0.20/0.58  % (11290)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (11290)Memory used [KB]: 6012
% 0.20/0.58  % (11290)Time elapsed: 0.013 s
% 0.20/0.58  % (11290)Instructions burned: 7 (million)
% 0.20/0.58  % (11290)------------------------------
% 0.20/0.58  % (11290)------------------------------
% 0.20/0.58  % (11288)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)
% 0.20/0.59  % (11286)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)
% 0.20/0.59  % (11284)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)
% 0.20/0.60  Detected maximum model sizes of [32]
% 0.20/0.60  TRYING [1]
% 0.20/0.60  TRYING [2]
% 0.20/0.60  % (11310)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)
% 0.20/0.61  % (11305)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)
% 0.20/0.61  % (11283)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)
% 0.20/0.61  % (11287)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.61  % (11285)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)
% 0.20/0.61  % (11307)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.84/0.62  % (11312)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)
% 1.84/0.62  % (11308)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.84/0.62  % (11297)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)
% 1.84/0.62  % (11299)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)
% 1.84/0.62  TRYING [3]
% 1.84/0.63  % (11300)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.84/0.63  % (11309)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)
% 1.84/0.63  % (11311)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.84/0.63  TRYING [4]
% 1.84/0.63  % (11291)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.84/0.63  % (11291)Instruction limit reached!
% 1.84/0.63  % (11291)------------------------------
% 1.84/0.63  % (11291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.63  % (11291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.63  % (11291)Termination reason: Unknown
% 1.84/0.63  % (11291)Termination phase: Preprocessing 1
% 1.84/0.63  
% 1.84/0.63  % (11291)Memory used [KB]: 1151
% 1.84/0.63  % (11291)Time elapsed: 0.004 s
% 1.84/0.63  % (11291)Instructions burned: 2 (million)
% 1.84/0.63  % (11291)------------------------------
% 1.84/0.63  % (11291)------------------------------
% 1.84/0.63  % (11301)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.84/0.63  % (11292)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)
% 2.18/0.64  % (11302)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)
% 2.18/0.64  Detected maximum model sizes of [32]
% 2.18/0.64  TRYING [1]
% 2.18/0.64  TRYING [2]
% 2.18/0.65  % (11293)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.18/0.66  Detected maximum model sizes of [32]
% 2.18/0.66  TRYING [1]
% 2.18/0.66  TRYING [2]
% 2.18/0.67  % (11288)Instruction limit reached!
% 2.18/0.67  % (11288)------------------------------
% 2.18/0.67  % (11288)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.67  % (11298)Instruction limit reached!
% 2.18/0.67  % (11298)------------------------------
% 2.18/0.67  % (11298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.67  TRYING [3]
% 2.18/0.67  % (11298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.67  % (11298)Termination reason: Unknown
% 2.18/0.67  % (11298)Termination phase: Saturation
% 2.18/0.67  
% 2.18/0.67  % (11298)Memory used [KB]: 1663
% 2.18/0.67  % (11298)Time elapsed: 0.180 s
% 2.18/0.67  % (11298)Instructions burned: 75 (million)
% 2.18/0.67  % (11298)------------------------------
% 2.18/0.67  % (11298)------------------------------
% 2.18/0.67  % (11303)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)
% 2.18/0.67  TRYING [4]
% 2.44/0.68  TRYING [3]
% 2.44/0.68  % (11288)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.68  % (11288)Termination reason: Unknown
% 2.44/0.68  % (11288)Termination phase: Saturation
% 2.44/0.68  
% 2.44/0.68  % (11288)Memory used [KB]: 7164
% 2.44/0.68  % (11288)Time elapsed: 0.229 s
% 2.44/0.68  % (11288)Instructions burned: 49 (million)
% 2.44/0.68  % (11288)------------------------------
% 2.44/0.68  % (11288)------------------------------
% 2.44/0.68  % (11289)Instruction limit reached!
% 2.44/0.68  % (11289)------------------------------
% 2.44/0.68  % (11289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.68  % (11289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.68  % (11289)Termination reason: Unknown
% 2.44/0.68  % (11289)Termination phase: Finite model building SAT solving
% 2.44/0.68  
% 2.44/0.68  % (11289)Memory used [KB]: 6396
% 2.44/0.68  % (11289)Time elapsed: 0.216 s
% 2.44/0.68  % (11289)Instructions burned: 51 (million)
% 2.44/0.68  % (11289)------------------------------
% 2.44/0.68  % (11289)------------------------------
% 2.44/0.69  TRYING [4]
% 2.44/0.69  % (11294)First to succeed.
% 2.44/0.72  % (11285)Instruction limit reached!
% 2.44/0.72  % (11285)------------------------------
% 2.44/0.72  % (11285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.72  % (11285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.72  % (11285)Termination reason: Unknown
% 2.44/0.72  % (11285)Termination phase: Saturation
% 2.44/0.72  
% 2.44/0.72  % (11285)Memory used [KB]: 1535
% 2.44/0.72  % (11285)Time elapsed: 0.297 s
% 2.44/0.72  % (11285)Instructions burned: 37 (million)
% 2.44/0.72  % (11285)------------------------------
% 2.44/0.72  % (11285)------------------------------
% 2.44/0.73  TRYING [5]
% 2.44/0.73  % (11284)Instruction limit reached!
% 2.44/0.73  % (11284)------------------------------
% 2.44/0.73  % (11284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.73  % (11284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.73  % (11284)Termination reason: Unknown
% 2.44/0.73  % (11284)Termination phase: Saturation
% 2.44/0.73  
% 2.44/0.73  % (11284)Memory used [KB]: 6780
% 2.44/0.73  % (11284)Time elapsed: 0.300 s
% 2.44/0.73  % (11284)Instructions burned: 50 (million)
% 2.44/0.73  % (11284)------------------------------
% 2.44/0.73  % (11284)------------------------------
% 2.44/0.73  % (11296)Also succeeded, but the first one will report.
% 2.44/0.73  % (11294)Refutation found. Thanks to Tanya!
% 2.44/0.73  % SZS status Theorem for theBenchmark
% 2.44/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 2.87/0.74  % (11294)------------------------------
% 2.87/0.74  % (11294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.74  % (11294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.74  % (11294)Termination reason: Refutation
% 2.87/0.74  
% 2.87/0.74  % (11294)Memory used [KB]: 7291
% 2.87/0.74  % (11294)Time elapsed: 0.272 s
% 2.87/0.74  % (11294)Instructions burned: 40 (million)
% 2.87/0.74  % (11294)------------------------------
% 2.87/0.74  % (11294)------------------------------
% 2.87/0.74  % (11282)Success in time 0.374 s
%------------------------------------------------------------------------------