TSTP Solution File: SYN475+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN475+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_uns --cores 0 -t %d %s

% Computer : n016.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 19:27:06 EDT 2022

% Result   : Theorem 2.41s 0.69s
% Output   : Refutation 2.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  161
% Syntax   : Number of formulae    :  755 (   1 unt;   0 def)
%            Number of atoms       : 7571 (   0 equ)
%            Maximal formula atoms :  712 (  10 avg)
%            Number of connectives : 10129 (3313   ~;4855   |;1337   &)
%                                         ( 160 <=>; 464  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  110 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  196 ( 195 usr; 192 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   : 1019 (1019   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2522,plain,
    $false,
    inference(avatar_sat_refutation,[],[f256,f277,f286,f297,f307,f316,f328,f334,f343,f347,f355,f360,f369,f374,f381,f398,f407,f412,f419,f424,f429,f434,f443,f453,f457,f464,f473,f478,f483,f492,f497,f502,f508,f509,f514,f523,f537,f546,f551,f552,f557,f566,f575,f576,f581,f591,f592,f593,f598,f602,f607,f608,f612,f617,f621,f626,f631,f632,f637,f643,f649,f654,f655,f664,f670,f673,f679,f684,f685,f686,f693,f705,f710,f715,f720,f721,f722,f727,f732,f738,f744,f749,f755,f756,f761,f762,f767,f768,f773,f779,f785,f786,f791,f796,f801,f807,f812,f817,f822,f832,f833,f838,f839,f845,f846,f853,f859,f864,f869,f874,f879,f891,f896,f902,f907,f912,f917,f924,f929,f934,f939,f940,f941,f946,f954,f955,f960,f965,f972,f974,f979,f984,f989,f994,f999,f1000,f1003,f1004,f1021,f1094,f1117,f1153,f1157,f1193,f1202,f1205,f1239,f1256,f1271,f1287,f1292,f1295,f1321,f1346,f1350,f1391,f1393,f1428,f1451,f1455,f1515,f1521,f1535,f1557,f1563,f1590,f1593,f1681,f1705,f1717,f1725,f1729,f1753,f1793,f1812,f1855,f1885,f1892,f1894,f1926,f1927,f1951,f1960,f1967,f1990,f1992,f1998,f2007,f2018,f2021,f2022,f2023,f2047,f2049,f2052,f2053,f2058,f2080,f2082,f2095,f2096,f2115,f2153,f2164,f2165,f2189,f2190,f2197,f2200,f2228,f2234,f2265,f2267,f2269,f2273,f2281,f2288,f2350,f2353,f2358,f2377,f2381,f2385,f2387,f2389,f2390,f2396,f2402,f2426,f2429,f2440,f2480,f2509,f2511,f2515,f2521]) ).

fof(f2521,plain,
    ( spl0_176
    | spl0_100
    | ~ spl0_91
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f2496,f909,f652,f707,f1700]) ).

fof(f1700,plain,
    ( spl0_176
  <=> c0_1(a1001) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f707,plain,
    ( spl0_100
  <=> c1_1(a1001) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f652,plain,
    ( spl0_91
  <=> ! [X111] :
        ( c1_1(X111)
        | c0_1(X111)
        | ~ c3_1(X111) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f909,plain,
    ( spl0_136
  <=> c3_1(a1001) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f2496,plain,
    ( c1_1(a1001)
    | c0_1(a1001)
    | ~ spl0_91
    | ~ spl0_136 ),
    inference(resolution,[],[f653,f911]) ).

fof(f911,plain,
    ( c3_1(a1001)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f909]) ).

fof(f653,plain,
    ( ! [X111] :
        ( ~ c3_1(X111)
        | c0_1(X111)
        | c1_1(X111) )
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f2515,plain,
    ( spl0_54
    | spl0_148
    | ~ spl0_91
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f2505,f1114,f652,f981,f466]) ).

fof(f466,plain,
    ( spl0_54
  <=> c1_1(a1038) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f981,plain,
    ( spl0_148
  <=> c0_1(a1038) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1114,plain,
    ( spl0_160
  <=> c3_1(a1038) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f2505,plain,
    ( c0_1(a1038)
    | c1_1(a1038)
    | ~ spl0_91
    | ~ spl0_160 ),
    inference(resolution,[],[f653,f1116]) ).

fof(f1116,plain,
    ( c3_1(a1038)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1114]) ).

fof(f2511,plain,
    ( spl0_94
    | spl0_129
    | ~ spl0_58
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f2501,f652,f485,f871,f667]) ).

fof(f667,plain,
    ( spl0_94
  <=> c0_1(a1015) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f871,plain,
    ( spl0_129
  <=> c1_1(a1015) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f485,plain,
    ( spl0_58
  <=> c3_1(a1015) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f2501,plain,
    ( c1_1(a1015)
    | c0_1(a1015)
    | ~ spl0_58
    | ~ spl0_91 ),
    inference(resolution,[],[f653,f487]) ).

fof(f487,plain,
    ( c3_1(a1015)
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f2509,plain,
    ( spl0_107
    | spl0_161
    | ~ spl0_91
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f2502,f835,f652,f1128,f746]) ).

fof(f746,plain,
    ( spl0_107
  <=> c1_1(a1023) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1128,plain,
    ( spl0_161
  <=> c0_1(a1023) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f835,plain,
    ( spl0_123
  <=> c3_1(a1023) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f2502,plain,
    ( c0_1(a1023)
    | c1_1(a1023)
    | ~ spl0_91
    | ~ spl0_123 ),
    inference(resolution,[],[f653,f837]) ).

fof(f837,plain,
    ( c3_1(a1023)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f835]) ).

fof(f2480,plain,
    ( spl0_90
    | ~ spl0_70
    | ~ spl0_85
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2462,f943,f619,f543,f646]) ).

fof(f646,plain,
    ( spl0_90
  <=> c2_1(a1036) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f543,plain,
    ( spl0_70
  <=> c3_1(a1036) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f619,plain,
    ( spl0_85
  <=> ! [X73] :
        ( ~ c1_1(X73)
        | ~ c3_1(X73)
        | c2_1(X73) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f943,plain,
    ( spl0_142
  <=> c1_1(a1036) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2462,plain,
    ( ~ c3_1(a1036)
    | c2_1(a1036)
    | ~ spl0_85
    | ~ spl0_142 ),
    inference(resolution,[],[f620,f945]) ).

fof(f945,plain,
    ( c1_1(a1036)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f943]) ).

fof(f620,plain,
    ( ! [X73] :
        ( ~ c1_1(X73)
        | ~ c3_1(X73)
        | c2_1(X73) )
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f2440,plain,
    ( ~ spl0_39
    | ~ spl0_139
    | ~ spl0_83
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f2407,f1329,f610,f926,f404]) ).

fof(f404,plain,
    ( spl0_39
  <=> c2_1(a1000) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f926,plain,
    ( spl0_139
  <=> c0_1(a1000) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f610,plain,
    ( spl0_83
  <=> ! [X70] :
        ( ~ c2_1(X70)
        | ~ c0_1(X70)
        | ~ c1_1(X70) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1329,plain,
    ( spl0_169
  <=> c1_1(a1000) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f2407,plain,
    ( ~ c0_1(a1000)
    | ~ c2_1(a1000)
    | ~ spl0_83
    | ~ spl0_169 ),
    inference(resolution,[],[f611,f1331]) ).

fof(f1331,plain,
    ( c1_1(a1000)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1329]) ).

fof(f611,plain,
    ( ! [X70] :
        ( ~ c1_1(X70)
        | ~ c2_1(X70)
        | ~ c0_1(X70) )
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f2429,plain,
    ( ~ spl0_29
    | ~ spl0_158
    | ~ spl0_83
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2420,f681,f610,f1067,f362]) ).

fof(f362,plain,
    ( spl0_29
  <=> c0_1(a1044) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1067,plain,
    ( spl0_158
  <=> c2_1(a1044) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f681,plain,
    ( spl0_96
  <=> c1_1(a1044) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f2420,plain,
    ( ~ c2_1(a1044)
    | ~ c0_1(a1044)
    | ~ spl0_83
    | ~ spl0_96 ),
    inference(resolution,[],[f611,f683]) ).

fof(f683,plain,
    ( c1_1(a1044)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f2426,plain,
    ( ~ spl0_119
    | ~ spl0_154
    | ~ spl0_83
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f2409,f770,f610,f1026,f814]) ).

fof(f814,plain,
    ( spl0_119
  <=> c2_1(a1004) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1026,plain,
    ( spl0_154
  <=> c0_1(a1004) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f770,plain,
    ( spl0_111
  <=> c1_1(a1004) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f2409,plain,
    ( ~ c0_1(a1004)
    | ~ c2_1(a1004)
    | ~ spl0_83
    | ~ spl0_111 ),
    inference(resolution,[],[f611,f772]) ).

fof(f772,plain,
    ( c1_1(a1004)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f2402,plain,
    ( spl0_9
    | ~ spl0_31
    | ~ spl0_4
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f2401,f809,f254,f371,f274]) ).

fof(f274,plain,
    ( spl0_9
  <=> c1_1(a1002) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f371,plain,
    ( spl0_31
  <=> c0_1(a1002) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f254,plain,
    ( spl0_4
  <=> ! [X9] :
        ( ~ c0_1(X9)
        | c1_1(X9)
        | ~ c2_1(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f809,plain,
    ( spl0_118
  <=> c2_1(a1002) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f2401,plain,
    ( ~ c0_1(a1002)
    | c1_1(a1002)
    | ~ spl0_4
    | ~ spl0_118 ),
    inference(resolution,[],[f811,f255]) ).

fof(f255,plain,
    ( ! [X9] :
        ( ~ c2_1(X9)
        | ~ c0_1(X9)
        | c1_1(X9) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f811,plain,
    ( c2_1(a1002)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f809]) ).

fof(f2396,plain,
    ( ~ spl0_176
    | spl0_100
    | ~ spl0_4
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f2395,f563,f254,f707,f1700]) ).

fof(f563,plain,
    ( spl0_74
  <=> c2_1(a1001) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f2395,plain,
    ( c1_1(a1001)
    | ~ c0_1(a1001)
    | ~ spl0_4
    | ~ spl0_74 ),
    inference(resolution,[],[f565,f255]) ).

fof(f565,plain,
    ( c2_1(a1001)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f563]) ).

fof(f2390,plain,
    ( spl0_144
    | spl0_80
    | ~ spl0_81
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2373,f1052,f600,f595,f957]) ).

fof(f957,plain,
    ( spl0_144
  <=> c0_1(a1045) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f595,plain,
    ( spl0_80
  <=> c3_1(a1045) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f600,plain,
    ( spl0_81
  <=> ! [X68] :
        ( c0_1(X68)
        | ~ c2_1(X68)
        | c3_1(X68) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1052,plain,
    ( spl0_157
  <=> c2_1(a1045) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f2373,plain,
    ( c3_1(a1045)
    | c0_1(a1045)
    | ~ spl0_81
    | ~ spl0_157 ),
    inference(resolution,[],[f601,f1053]) ).

fof(f1053,plain,
    ( c2_1(a1045)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1052]) ).

fof(f601,plain,
    ( ! [X68] :
        ( ~ c2_1(X68)
        | c3_1(X68)
        | c0_1(X68) )
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f2389,plain,
    ( spl0_164
    | spl0_126
    | ~ spl0_81
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f2365,f819,f600,f856,f1244]) ).

fof(f1244,plain,
    ( spl0_164
  <=> c0_1(a1008) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f856,plain,
    ( spl0_126
  <=> c3_1(a1008) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f819,plain,
    ( spl0_120
  <=> c2_1(a1008) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f2365,plain,
    ( c3_1(a1008)
    | c0_1(a1008)
    | ~ spl0_81
    | ~ spl0_120 ),
    inference(resolution,[],[f601,f821]) ).

fof(f821,plain,
    ( c2_1(a1008)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f819]) ).

fof(f2387,plain,
    ( spl0_116
    | spl0_114
    | ~ spl0_81
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2370,f1012,f600,f788,f798]) ).

fof(f798,plain,
    ( spl0_116
  <=> c3_1(a1037) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f788,plain,
    ( spl0_114
  <=> c0_1(a1037) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1012,plain,
    ( spl0_152
  <=> c2_1(a1037) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f2370,plain,
    ( c0_1(a1037)
    | c3_1(a1037)
    | ~ spl0_81
    | ~ spl0_152 ),
    inference(resolution,[],[f601,f1014]) ).

fof(f1014,plain,
    ( c2_1(a1037)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f1012]) ).

fof(f2385,plain,
    ( spl0_57
    | spl0_154
    | ~ spl0_81
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f2364,f814,f600,f1026,f480]) ).

fof(f480,plain,
    ( spl0_57
  <=> c3_1(a1004) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f2364,plain,
    ( c0_1(a1004)
    | c3_1(a1004)
    | ~ spl0_81
    | ~ spl0_119 ),
    inference(resolution,[],[f601,f816]) ).

fof(f816,plain,
    ( c2_1(a1004)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f814]) ).

fof(f2381,plain,
    ( spl0_117
    | spl0_101
    | ~ spl0_81
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2371,f931,f600,f712,f804]) ).

fof(f804,plain,
    ( spl0_117
  <=> c0_1(a1041) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f712,plain,
    ( spl0_101
  <=> c3_1(a1041) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f931,plain,
    ( spl0_140
  <=> c2_1(a1041) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2371,plain,
    ( c3_1(a1041)
    | c0_1(a1041)
    | ~ spl0_81
    | ~ spl0_140 ),
    inference(resolution,[],[f601,f933]) ).

fof(f933,plain,
    ( c2_1(a1041)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f931]) ).

fof(f2377,plain,
    ( spl0_23
    | spl0_162
    | ~ spl0_81
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f2367,f850,f600,f1178,f336]) ).

fof(f336,plain,
    ( spl0_23
  <=> c0_1(a1019) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1178,plain,
    ( spl0_162
  <=> c3_1(a1019) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f850,plain,
    ( spl0_125
  <=> c2_1(a1019) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f2367,plain,
    ( c3_1(a1019)
    | c0_1(a1019)
    | ~ spl0_81
    | ~ spl0_125 ),
    inference(resolution,[],[f601,f852]) ).

fof(f852,plain,
    ( c2_1(a1019)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f2358,plain,
    ( spl0_110
    | spl0_72
    | ~ spl0_40
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f2338,f426,f410,f554,f764]) ).

fof(f764,plain,
    ( spl0_110
  <=> c1_1(a1012) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f554,plain,
    ( spl0_72
  <=> c3_1(a1012) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f410,plain,
    ( spl0_40
  <=> ! [X25] :
        ( c1_1(X25)
        | c3_1(X25)
        | ~ c0_1(X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f426,plain,
    ( spl0_44
  <=> c0_1(a1012) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f2338,plain,
    ( c3_1(a1012)
    | c1_1(a1012)
    | ~ spl0_40
    | ~ spl0_44 ),
    inference(resolution,[],[f411,f428]) ).

fof(f428,plain,
    ( c0_1(a1012)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f411,plain,
    ( ! [X25] :
        ( ~ c0_1(X25)
        | c3_1(X25)
        | c1_1(X25) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f2353,plain,
    ( spl0_79
    | spl0_169
    | ~ spl0_40
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2333,f926,f410,f1329,f588]) ).

fof(f588,plain,
    ( spl0_79
  <=> c3_1(a1000) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f2333,plain,
    ( c1_1(a1000)
    | c3_1(a1000)
    | ~ spl0_40
    | ~ spl0_139 ),
    inference(resolution,[],[f411,f928]) ).

fof(f928,plain,
    ( c0_1(a1000)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f926]) ).

fof(f2350,plain,
    ( spl0_153
    | spl0_150
    | ~ spl0_40
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f2340,f516,f410,f991,f1017]) ).

fof(f1017,plain,
    ( spl0_153
  <=> c3_1(a1043) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f991,plain,
    ( spl0_150
  <=> c1_1(a1043) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f516,plain,
    ( spl0_64
  <=> c0_1(a1043) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f2340,plain,
    ( c1_1(a1043)
    | c3_1(a1043)
    | ~ spl0_40
    | ~ spl0_64 ),
    inference(resolution,[],[f411,f518]) ).

fof(f518,plain,
    ( c0_1(a1043)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f2288,plain,
    ( ~ spl0_105
    | ~ spl0_86
    | ~ spl0_53
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f2287,f1354,f462,f623,f735]) ).

fof(f735,plain,
    ( spl0_105
  <=> c2_1(a1029) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f623,plain,
    ( spl0_86
  <=> c3_1(a1029) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f462,plain,
    ( spl0_53
  <=> ! [X56] :
        ( ~ c3_1(X56)
        | ~ c2_1(X56)
        | ~ c1_1(X56) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1354,plain,
    ( spl0_170
  <=> c1_1(a1029) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f2287,plain,
    ( ~ c3_1(a1029)
    | ~ c2_1(a1029)
    | ~ spl0_53
    | ~ spl0_170 ),
    inference(resolution,[],[f1356,f463]) ).

fof(f463,plain,
    ( ! [X56] :
        ( ~ c1_1(X56)
        | ~ c3_1(X56)
        | ~ c2_1(X56) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f1356,plain,
    ( c1_1(a1029)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1354]) ).

fof(f2281,plain,
    ( ~ spl0_44
    | spl0_110
    | ~ spl0_4
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f2280,f1315,f254,f764,f426]) ).

fof(f1315,plain,
    ( spl0_168
  <=> c2_1(a1012) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f2280,plain,
    ( c1_1(a1012)
    | ~ c0_1(a1012)
    | ~ spl0_4
    | ~ spl0_168 ),
    inference(resolution,[],[f1317,f255]) ).

fof(f1317,plain,
    ( c2_1(a1012)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1315]) ).

fof(f2273,plain,
    ( ~ spl0_125
    | spl0_23
    | ~ spl0_68
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f2250,f578,f535,f336,f850]) ).

fof(f535,plain,
    ( spl0_68
  <=> ! [X36] :
        ( ~ c1_1(X36)
        | ~ c2_1(X36)
        | c0_1(X36) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f578,plain,
    ( spl0_77
  <=> c1_1(a1019) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f2250,plain,
    ( c0_1(a1019)
    | ~ c2_1(a1019)
    | ~ spl0_68
    | ~ spl0_77 ),
    inference(resolution,[],[f536,f580]) ).

fof(f580,plain,
    ( c1_1(a1019)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f536,plain,
    ( ! [X36] :
        ( ~ c1_1(X36)
        | c0_1(X36)
        | ~ c2_1(X36) )
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f2269,plain,
    ( ~ spl0_171
    | spl0_102
    | ~ spl0_68
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2258,f914,f535,f717,f1405]) ).

fof(f1405,plain,
    ( spl0_171
  <=> c2_1(a1048) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f717,plain,
    ( spl0_102
  <=> c0_1(a1048) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f914,plain,
    ( spl0_137
  <=> c1_1(a1048) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2258,plain,
    ( c0_1(a1048)
    | ~ c2_1(a1048)
    | ~ spl0_68
    | ~ spl0_137 ),
    inference(resolution,[],[f536,f916]) ).

fof(f916,plain,
    ( c1_1(a1048)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f914]) ).

fof(f2267,plain,
    ( ~ spl0_119
    | spl0_154
    | ~ spl0_68
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f2247,f770,f535,f1026,f814]) ).

fof(f2247,plain,
    ( c0_1(a1004)
    | ~ c2_1(a1004)
    | ~ spl0_68
    | ~ spl0_111 ),
    inference(resolution,[],[f536,f772]) ).

fof(f2265,plain,
    ( spl0_144
    | ~ spl0_157
    | ~ spl0_68
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2257,f729,f535,f1052,f957]) ).

fof(f729,plain,
    ( spl0_104
  <=> c1_1(a1045) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f2257,plain,
    ( ~ c2_1(a1045)
    | c0_1(a1045)
    | ~ spl0_68
    | ~ spl0_104 ),
    inference(resolution,[],[f536,f731]) ).

fof(f731,plain,
    ( c1_1(a1045)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f729]) ).

fof(f2234,plain,
    ( ~ spl0_162
    | ~ spl0_125
    | ~ spl0_53
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f2212,f578,f462,f850,f1178]) ).

fof(f2212,plain,
    ( ~ c2_1(a1019)
    | ~ c3_1(a1019)
    | ~ spl0_53
    | ~ spl0_77 ),
    inference(resolution,[],[f463,f580]) ).

fof(f2228,plain,
    ( ~ spl0_157
    | ~ spl0_80
    | ~ spl0_53
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2219,f729,f462,f595,f1052]) ).

fof(f2219,plain,
    ( ~ c3_1(a1045)
    | ~ c2_1(a1045)
    | ~ spl0_53
    | ~ spl0_104 ),
    inference(resolution,[],[f463,f731]) ).

fof(f2200,plain,
    ( ~ spl0_164
    | spl0_97
    | ~ spl0_4
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f2177,f819,f254,f690,f1244]) ).

fof(f690,plain,
    ( spl0_97
  <=> c1_1(a1008) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f2177,plain,
    ( c1_1(a1008)
    | ~ c0_1(a1008)
    | ~ spl0_4
    | ~ spl0_120 ),
    inference(resolution,[],[f255,f821]) ).

fof(f2197,plain,
    ( spl0_95
    | ~ spl0_106
    | ~ spl0_4
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f2178,f1267,f254,f741,f676]) ).

fof(f676,plain,
    ( spl0_95
  <=> c1_1(a1010) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f741,plain,
    ( spl0_106
  <=> c0_1(a1010) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1267,plain,
    ( spl0_166
  <=> c2_1(a1010) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f2178,plain,
    ( ~ c0_1(a1010)
    | c1_1(a1010)
    | ~ spl0_4
    | ~ spl0_166 ),
    inference(resolution,[],[f255,f1269]) ).

fof(f1269,plain,
    ( c2_1(a1010)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1267]) ).

fof(f2190,plain,
    ( ~ spl0_141
    | spl0_170
    | ~ spl0_4
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2187,f735,f254,f1354,f936]) ).

fof(f936,plain,
    ( spl0_141
  <=> c0_1(a1029) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f2187,plain,
    ( c1_1(a1029)
    | ~ c0_1(a1029)
    | ~ spl0_4
    | ~ spl0_105 ),
    inference(resolution,[],[f255,f737]) ).

fof(f737,plain,
    ( c2_1(a1029)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f2189,plain,
    ( ~ spl0_139
    | spl0_169
    | ~ spl0_4
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f2175,f404,f254,f1329,f926]) ).

fof(f2175,plain,
    ( c1_1(a1000)
    | ~ c0_1(a1000)
    | ~ spl0_4
    | ~ spl0_39 ),
    inference(resolution,[],[f255,f406]) ).

fof(f406,plain,
    ( c2_1(a1000)
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f2165,plain,
    ( spl0_154
    | spl0_57
    | ~ spl0_51
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f2133,f770,f455,f480,f1026]) ).

fof(f455,plain,
    ( spl0_51
  <=> ! [X32] :
        ( c0_1(X32)
        | c3_1(X32)
        | ~ c1_1(X32) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f2133,plain,
    ( c3_1(a1004)
    | c0_1(a1004)
    | ~ spl0_51
    | ~ spl0_111 ),
    inference(resolution,[],[f456,f772]) ).

fof(f456,plain,
    ( ! [X32] :
        ( ~ c1_1(X32)
        | c3_1(X32)
        | c0_1(X32) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f2164,plain,
    ( spl0_162
    | spl0_23
    | ~ spl0_51
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f2137,f578,f455,f336,f1178]) ).

fof(f2137,plain,
    ( c0_1(a1019)
    | c3_1(a1019)
    | ~ spl0_51
    | ~ spl0_77 ),
    inference(resolution,[],[f456,f580]) ).

fof(f2153,plain,
    ( spl0_102
    | spl0_43
    | ~ spl0_51
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2145,f914,f455,f421,f717]) ).

fof(f421,plain,
    ( spl0_43
  <=> c3_1(a1048) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f2145,plain,
    ( c3_1(a1048)
    | c0_1(a1048)
    | ~ spl0_51
    | ~ spl0_137 ),
    inference(resolution,[],[f456,f916]) ).

fof(f2115,plain,
    ( spl0_158
    | spl0_145
    | ~ spl0_29
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f2109,f445,f362,f962,f1067]) ).

fof(f962,plain,
    ( spl0_145
  <=> c3_1(a1044) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f445,plain,
    ( spl0_48
  <=> ! [X102] :
        ( c3_1(X102)
        | ~ c0_1(X102)
        | c2_1(X102) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f2109,plain,
    ( c3_1(a1044)
    | c2_1(a1044)
    | ~ spl0_29
    | ~ spl0_48 ),
    inference(resolution,[],[f446,f364]) ).

fof(f364,plain,
    ( c0_1(a1044)
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f446,plain,
    ( ! [X102] :
        ( ~ c0_1(X102)
        | c3_1(X102)
        | c2_1(X102) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f2096,plain,
    ( spl0_114
    | spl0_152
    | ~ spl0_42
    | spl0_135 ),
    inference(avatar_split_clause,[],[f2090,f904,f417,f1012,f788]) ).

fof(f417,plain,
    ( spl0_42
  <=> ! [X39] :
        ( c1_1(X39)
        | c0_1(X39)
        | c2_1(X39) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f904,plain,
    ( spl0_135
  <=> c1_1(a1037) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f2090,plain,
    ( c2_1(a1037)
    | c0_1(a1037)
    | ~ spl0_42
    | spl0_135 ),
    inference(resolution,[],[f418,f906]) ).

fof(f906,plain,
    ( ~ c1_1(a1037)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f418,plain,
    ( ! [X39] :
        ( c1_1(X39)
        | c0_1(X39)
        | c2_1(X39) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f2095,plain,
    ( spl0_127
    | spl0_132
    | ~ spl0_42
    | spl0_163 ),
    inference(avatar_split_clause,[],[f2092,f1219,f417,f888,f861]) ).

fof(f861,plain,
    ( spl0_127
  <=> c0_1(a1052) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f888,plain,
    ( spl0_132
  <=> c2_1(a1052) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1219,plain,
    ( spl0_163
  <=> c1_1(a1052) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f2092,plain,
    ( c2_1(a1052)
    | c0_1(a1052)
    | ~ spl0_42
    | spl0_163 ),
    inference(resolution,[],[f418,f1220]) ).

fof(f1220,plain,
    ( ~ c1_1(a1052)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f1219]) ).

fof(f2082,plain,
    ( spl0_107
    | spl0_47
    | ~ spl0_35
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f2064,f835,f387,f440,f746]) ).

fof(f440,plain,
    ( spl0_47
  <=> c2_1(a1023) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f387,plain,
    ( spl0_35
  <=> ! [X83] :
        ( ~ c3_1(X83)
        | c2_1(X83)
        | c1_1(X83) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f2064,plain,
    ( c2_1(a1023)
    | c1_1(a1023)
    | ~ spl0_35
    | ~ spl0_123 ),
    inference(resolution,[],[f388,f837]) ).

fof(f388,plain,
    ( ! [X83] :
        ( ~ c3_1(X83)
        | c2_1(X83)
        | c1_1(X83) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f2080,plain,
    ( spl0_166
    | spl0_95
    | ~ spl0_35
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f2062,f782,f387,f676,f1267]) ).

fof(f782,plain,
    ( spl0_113
  <=> c3_1(a1010) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f2062,plain,
    ( c1_1(a1010)
    | c2_1(a1010)
    | ~ spl0_35
    | ~ spl0_113 ),
    inference(resolution,[],[f388,f784]) ).

fof(f784,plain,
    ( c3_1(a1010)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f782]) ).

fof(f2058,plain,
    ( ~ spl0_76
    | spl0_88
    | ~ spl0_25
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2057,f1258,f345,f634,f572]) ).

fof(f572,plain,
    ( spl0_76
  <=> c0_1(a1025) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f634,plain,
    ( spl0_88
  <=> c2_1(a1025) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f345,plain,
    ( spl0_25
  <=> ! [X28] :
        ( ~ c0_1(X28)
        | ~ c1_1(X28)
        | c2_1(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f1258,plain,
    ( spl0_165
  <=> c1_1(a1025) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f2057,plain,
    ( c2_1(a1025)
    | ~ c0_1(a1025)
    | ~ spl0_25
    | ~ spl0_165 ),
    inference(resolution,[],[f1260,f346]) ).

fof(f346,plain,
    ( ! [X28] :
        ( ~ c1_1(X28)
        | ~ c0_1(X28)
        | c2_1(X28) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f1260,plain,
    ( c1_1(a1025)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1258]) ).

fof(f2053,plain,
    ( spl0_133
    | ~ spl0_64
    | ~ spl0_27
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f2040,f1017,f353,f516,f893]) ).

fof(f893,plain,
    ( spl0_133
  <=> c2_1(a1043) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f353,plain,
    ( spl0_27
  <=> ! [X31] :
        ( ~ c3_1(X31)
        | c2_1(X31)
        | ~ c0_1(X31) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f2040,plain,
    ( ~ c0_1(a1043)
    | c2_1(a1043)
    | ~ spl0_27
    | ~ spl0_153 ),
    inference(resolution,[],[f354,f1019]) ).

fof(f1019,plain,
    ( c3_1(a1043)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f1017]) ).

fof(f354,plain,
    ( ! [X31] :
        ( ~ c3_1(X31)
        | ~ c0_1(X31)
        | c2_1(X31) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f2052,plain,
    ( ~ spl0_134
    | spl0_16
    | ~ spl0_10
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f2033,f353,f279,f304,f899]) ).

fof(f899,plain,
    ( spl0_134
  <=> c0_1(a1006) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f304,plain,
    ( spl0_16
  <=> c2_1(a1006) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f279,plain,
    ( spl0_10
  <=> c3_1(a1006) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f2033,plain,
    ( c2_1(a1006)
    | ~ c0_1(a1006)
    | ~ spl0_10
    | ~ spl0_27 ),
    inference(resolution,[],[f354,f281]) ).

fof(f281,plain,
    ( c3_1(a1006)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f2049,plain,
    ( ~ spl0_106
    | spl0_166
    | ~ spl0_27
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f2034,f782,f353,f1267,f741]) ).

fof(f2034,plain,
    ( c2_1(a1010)
    | ~ c0_1(a1010)
    | ~ spl0_27
    | ~ spl0_113 ),
    inference(resolution,[],[f354,f784]) ).

fof(f2047,plain,
    ( spl0_47
    | ~ spl0_161
    | ~ spl0_27
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f2036,f835,f353,f1128,f440]) ).

fof(f2036,plain,
    ( ~ c0_1(a1023)
    | c2_1(a1023)
    | ~ spl0_27
    | ~ spl0_123 ),
    inference(resolution,[],[f354,f837]) ).

fof(f2023,plain,
    ( spl0_133
    | spl0_153
    | ~ spl0_2
    | spl0_150 ),
    inference(avatar_split_clause,[],[f2016,f991,f247,f1017,f893]) ).

fof(f247,plain,
    ( spl0_2
  <=> ! [X8] :
        ( c2_1(X8)
        | c3_1(X8)
        | c1_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f2016,plain,
    ( c3_1(a1043)
    | c2_1(a1043)
    | ~ spl0_2
    | spl0_150 ),
    inference(resolution,[],[f248,f993]) ).

fof(f993,plain,
    ( ~ c1_1(a1043)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f991]) ).

fof(f248,plain,
    ( ! [X8] :
        ( c1_1(X8)
        | c3_1(X8)
        | c2_1(X8) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f2022,plain,
    ( spl0_168
    | spl0_72
    | ~ spl0_2
    | spl0_110 ),
    inference(avatar_split_clause,[],[f2012,f764,f247,f554,f1315]) ).

fof(f2012,plain,
    ( c3_1(a1012)
    | c2_1(a1012)
    | ~ spl0_2
    | spl0_110 ),
    inference(resolution,[],[f248,f766]) ).

fof(f766,plain,
    ( ~ c1_1(a1012)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f2021,plain,
    ( spl0_48
    | ~ spl0_2
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f2017,f345,f247,f445]) ).

fof(f2017,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_2
    | ~ spl0_25 ),
    inference(duplicate_literal_removal,[],[f2008]) ).

fof(f2008,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_25 ),
    inference(resolution,[],[f248,f346]) ).

fof(f2018,plain,
    ( spl0_116
    | spl0_152
    | ~ spl0_2
    | spl0_135 ),
    inference(avatar_split_clause,[],[f2015,f904,f247,f1012,f798]) ).

fof(f2015,plain,
    ( c2_1(a1037)
    | c3_1(a1037)
    | ~ spl0_2
    | spl0_135 ),
    inference(resolution,[],[f248,f906]) ).

fof(f2007,plain,
    ( ~ spl0_178
    | spl0_62
    | ~ spl0_25
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2006,f842,f345,f505,f1722]) ).

fof(f1722,plain,
    ( spl0_178
  <=> c0_1(a1030) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f505,plain,
    ( spl0_62
  <=> c2_1(a1030) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f842,plain,
    ( spl0_124
  <=> c1_1(a1030) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f2006,plain,
    ( c2_1(a1030)
    | ~ c0_1(a1030)
    | ~ spl0_25
    | ~ spl0_124 ),
    inference(resolution,[],[f844,f346]) ).

fof(f844,plain,
    ( c1_1(a1030)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f1998,plain,
    ( spl0_94
    | spl0_173
    | ~ spl0_41
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f1983,f485,f414,f1497,f667]) ).

fof(f1497,plain,
    ( spl0_173
  <=> c2_1(a1015) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f414,plain,
    ( spl0_41
  <=> ! [X38] :
        ( ~ c3_1(X38)
        | c2_1(X38)
        | c0_1(X38) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1983,plain,
    ( c2_1(a1015)
    | c0_1(a1015)
    | ~ spl0_41
    | ~ spl0_58 ),
    inference(resolution,[],[f415,f487]) ).

fof(f415,plain,
    ( ! [X38] :
        ( ~ c3_1(X38)
        | c0_1(X38)
        | c2_1(X38) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f1992,plain,
    ( spl0_161
    | spl0_47
    | ~ spl0_41
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1984,f835,f414,f440,f1128]) ).

fof(f1984,plain,
    ( c2_1(a1023)
    | c0_1(a1023)
    | ~ spl0_41
    | ~ spl0_123 ),
    inference(resolution,[],[f415,f837]) ).

fof(f1990,plain,
    ( spl0_151
    | spl0_148
    | ~ spl0_41
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1987,f1114,f414,f981,f996]) ).

fof(f996,plain,
    ( spl0_151
  <=> c2_1(a1038) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1987,plain,
    ( c0_1(a1038)
    | c2_1(a1038)
    | ~ spl0_41
    | ~ spl0_160 ),
    inference(resolution,[],[f415,f1116]) ).

fof(f1967,plain,
    ( spl0_127
    | spl0_132
    | ~ spl0_49
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1966,f628,f448,f888,f861]) ).

fof(f448,plain,
    ( spl0_49
  <=> ! [X100] :
        ( c0_1(X100)
        | c3_1(X100)
        | c2_1(X100) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f628,plain,
    ( spl0_87
  <=> c3_1(a1052) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1966,plain,
    ( c2_1(a1052)
    | c0_1(a1052)
    | ~ spl0_49
    | spl0_87 ),
    inference(resolution,[],[f629,f449]) ).

fof(f449,plain,
    ( ! [X100] :
        ( c3_1(X100)
        | c2_1(X100)
        | c0_1(X100) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f629,plain,
    ( ~ c3_1(a1052)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f1960,plain,
    ( spl0_171
    | spl0_102
    | ~ spl0_20
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1948,f914,f322,f717,f1405]) ).

fof(f322,plain,
    ( spl0_20
  <=> ! [X6] :
        ( ~ c1_1(X6)
        | c2_1(X6)
        | c0_1(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f1948,plain,
    ( c0_1(a1048)
    | c2_1(a1048)
    | ~ spl0_20
    | ~ spl0_137 ),
    inference(resolution,[],[f323,f916]) ).

fof(f323,plain,
    ( ! [X6] :
        ( ~ c1_1(X6)
        | c0_1(X6)
        | c2_1(X6) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f1951,plain,
    ( spl0_144
    | spl0_157
    | ~ spl0_20
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1947,f729,f322,f1052,f957]) ).

fof(f1947,plain,
    ( c2_1(a1045)
    | c0_1(a1045)
    | ~ spl0_20
    | ~ spl0_104 ),
    inference(resolution,[],[f323,f731]) ).

fof(f1927,plain,
    ( ~ spl0_166
    | ~ spl0_106
    | ~ spl0_7
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1914,f782,f266,f741,f1267]) ).

fof(f266,plain,
    ( spl0_7
  <=> ! [X7] :
        ( ~ c0_1(X7)
        | ~ c3_1(X7)
        | ~ c2_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1914,plain,
    ( ~ c0_1(a1010)
    | ~ c2_1(a1010)
    | ~ spl0_7
    | ~ spl0_113 ),
    inference(resolution,[],[f267,f784]) ).

fof(f267,plain,
    ( ! [X7] :
        ( ~ c3_1(X7)
        | ~ c0_1(X7)
        | ~ c2_1(X7) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f1926,plain,
    ( ~ spl0_141
    | ~ spl0_105
    | ~ spl0_7
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1920,f623,f266,f735,f936]) ).

fof(f1920,plain,
    ( ~ c2_1(a1029)
    | ~ c0_1(a1029)
    | ~ spl0_7
    | ~ spl0_86 ),
    inference(resolution,[],[f267,f625]) ).

fof(f625,plain,
    ( c3_1(a1029)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f623]) ).

fof(f1894,plain,
    ( spl0_114
    | spl0_152
    | ~ spl0_49
    | spl0_116 ),
    inference(avatar_split_clause,[],[f1893,f798,f448,f1012,f788]) ).

fof(f1893,plain,
    ( c2_1(a1037)
    | c0_1(a1037)
    | ~ spl0_49
    | spl0_116 ),
    inference(resolution,[],[f800,f449]) ).

fof(f800,plain,
    ( ~ c3_1(a1037)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f798]) ).

fof(f1892,plain,
    ( spl0_144
    | spl0_157
    | ~ spl0_49
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1891,f595,f448,f1052,f957]) ).

fof(f1891,plain,
    ( c2_1(a1045)
    | c0_1(a1045)
    | ~ spl0_49
    | spl0_80 ),
    inference(resolution,[],[f596,f449]) ).

fof(f596,plain,
    ( ~ c3_1(a1045)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f1885,plain,
    ( spl0_63
    | ~ spl0_82
    | ~ spl0_25
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1884,f976,f345,f604,f511]) ).

fof(f511,plain,
    ( spl0_63
  <=> c2_1(a1011) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f604,plain,
    ( spl0_82
  <=> c0_1(a1011) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f976,plain,
    ( spl0_147
  <=> c1_1(a1011) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1884,plain,
    ( ~ c0_1(a1011)
    | c2_1(a1011)
    | ~ spl0_25
    | ~ spl0_147 ),
    inference(resolution,[],[f978,f346]) ).

fof(f978,plain,
    ( c1_1(a1011)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f976]) ).

fof(f1855,plain,
    ( spl0_165
    | spl0_115
    | ~ spl0_40
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1843,f572,f410,f793,f1258]) ).

fof(f793,plain,
    ( spl0_115
  <=> c3_1(a1025) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1843,plain,
    ( c3_1(a1025)
    | c1_1(a1025)
    | ~ spl0_40
    | ~ spl0_76 ),
    inference(resolution,[],[f411,f574]) ).

fof(f574,plain,
    ( c0_1(a1025)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f1812,plain,
    ( spl0_42
    | ~ spl0_35
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1811,f448,f387,f417]) ).

fof(f1811,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_35
    | ~ spl0_49 ),
    inference(duplicate_literal_removal,[],[f1798]) ).

fof(f1798,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_35
    | ~ spl0_49 ),
    inference(resolution,[],[f388,f449]) ).

fof(f1793,plain,
    ( spl0_145
    | spl0_158
    | ~ spl0_14
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1781,f681,f295,f1067,f962]) ).

fof(f295,plain,
    ( spl0_14
  <=> ! [X113] :
        ( c3_1(X113)
        | c2_1(X113)
        | ~ c1_1(X113) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f1781,plain,
    ( c2_1(a1044)
    | c3_1(a1044)
    | ~ spl0_14
    | ~ spl0_96 ),
    inference(resolution,[],[f296,f683]) ).

fof(f296,plain,
    ( ! [X113] :
        ( ~ c1_1(X113)
        | c2_1(X113)
        | c3_1(X113) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f1753,plain,
    ( ~ spl0_176
    | ~ spl0_74
    | ~ spl0_7
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1752,f909,f266,f563,f1700]) ).

fof(f1752,plain,
    ( ~ c2_1(a1001)
    | ~ c0_1(a1001)
    | ~ spl0_7
    | ~ spl0_136 ),
    inference(resolution,[],[f911,f267]) ).

fof(f1729,plain,
    ( ~ spl0_29
    | spl0_158
    | ~ spl0_25
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1727,f681,f345,f1067,f362]) ).

fof(f1727,plain,
    ( c2_1(a1044)
    | ~ c0_1(a1044)
    | ~ spl0_25
    | ~ spl0_96 ),
    inference(resolution,[],[f683,f346]) ).

fof(f1725,plain,
    ( spl0_178
    | spl0_62
    | ~ spl0_49
    | spl0_89 ),
    inference(avatar_split_clause,[],[f1720,f640,f448,f505,f1722]) ).

fof(f640,plain,
    ( spl0_89
  <=> c3_1(a1030) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1720,plain,
    ( c2_1(a1030)
    | c0_1(a1030)
    | ~ spl0_49
    | spl0_89 ),
    inference(resolution,[],[f642,f449]) ).

fof(f642,plain,
    ( ~ c3_1(a1030)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f1717,plain,
    ( spl0_109
    | spl0_17
    | ~ spl0_13
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1709,f614,f292,f309,f758]) ).

fof(f758,plain,
    ( spl0_109
  <=> c0_1(a1026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f309,plain,
    ( spl0_17
  <=> c1_1(a1026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f292,plain,
    ( spl0_13
  <=> ! [X114] :
        ( c1_1(X114)
        | ~ c2_1(X114)
        | c0_1(X114) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f614,plain,
    ( spl0_84
  <=> c2_1(a1026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1709,plain,
    ( c1_1(a1026)
    | c0_1(a1026)
    | ~ spl0_13
    | ~ spl0_84 ),
    inference(resolution,[],[f616,f293]) ).

fof(f293,plain,
    ( ! [X114] :
        ( ~ c2_1(X114)
        | c0_1(X114)
        | c1_1(X114) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f616,plain,
    ( c2_1(a1026)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f614]) ).

fof(f1705,plain,
    ( spl0_100
    | spl0_176
    | ~ spl0_13
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1697,f563,f292,f1700,f707]) ).

fof(f1697,plain,
    ( c0_1(a1001)
    | c1_1(a1001)
    | ~ spl0_13
    | ~ spl0_74 ),
    inference(resolution,[],[f565,f293]) ).

fof(f1681,plain,
    ( ~ spl0_140
    | spl0_117
    | ~ spl0_68
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1668,f1512,f535,f804,f931]) ).

fof(f1512,plain,
    ( spl0_174
  <=> c1_1(a1041) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f1668,plain,
    ( c0_1(a1041)
    | ~ c2_1(a1041)
    | ~ spl0_68
    | ~ spl0_174 ),
    inference(resolution,[],[f536,f1514]) ).

fof(f1514,plain,
    ( c1_1(a1041)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1512]) ).

fof(f1593,plain,
    ( ~ spl0_157
    | spl0_144
    | ~ spl0_52
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1583,f595,f459,f957,f1052]) ).

fof(f459,plain,
    ( spl0_52
  <=> ! [X55] :
        ( ~ c3_1(X55)
        | c0_1(X55)
        | ~ c2_1(X55) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1583,plain,
    ( c0_1(a1045)
    | ~ c2_1(a1045)
    | ~ spl0_52
    | ~ spl0_80 ),
    inference(resolution,[],[f460,f597]) ).

fof(f597,plain,
    ( c3_1(a1045)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f460,plain,
    ( ! [X55] :
        ( ~ c3_1(X55)
        | c0_1(X55)
        | ~ c2_1(X55) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f1590,plain,
    ( ~ spl0_173
    | spl0_94
    | ~ spl0_52
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f1580,f485,f459,f667,f1497]) ).

fof(f1580,plain,
    ( c0_1(a1015)
    | ~ c2_1(a1015)
    | ~ spl0_52
    | ~ spl0_58 ),
    inference(resolution,[],[f460,f487]) ).

fof(f1563,plain,
    ( spl0_130
    | spl0_159
    | ~ spl0_49
    | spl0_122 ),
    inference(avatar_split_clause,[],[f1545,f829,f448,f1090,f876]) ).

fof(f876,plain,
    ( spl0_130
  <=> c2_1(a1005) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1090,plain,
    ( spl0_159
  <=> c0_1(a1005) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f829,plain,
    ( spl0_122
  <=> c3_1(a1005) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1545,plain,
    ( c0_1(a1005)
    | c2_1(a1005)
    | ~ spl0_49
    | spl0_122 ),
    inference(resolution,[],[f449,f831]) ).

fof(f831,plain,
    ( ~ c3_1(a1005)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f1557,plain,
    ( spl0_171
    | spl0_102
    | spl0_43
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1553,f448,f421,f717,f1405]) ).

fof(f1553,plain,
    ( c0_1(a1048)
    | c2_1(a1048)
    | spl0_43
    | ~ spl0_49 ),
    inference(resolution,[],[f449,f423]) ).

fof(f423,plain,
    ( ~ c3_1(a1048)
    | spl0_43 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f1535,plain,
    ( ~ spl0_156
    | ~ spl0_99
    | ~ spl0_7
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1531,f752,f266,f702,f1047]) ).

fof(f1047,plain,
    ( spl0_156
  <=> c2_1(a1040) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f702,plain,
    ( spl0_99
  <=> c0_1(a1040) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f752,plain,
    ( spl0_108
  <=> c3_1(a1040) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1531,plain,
    ( ~ c0_1(a1040)
    | ~ c2_1(a1040)
    | ~ spl0_7
    | ~ spl0_108 ),
    inference(resolution,[],[f267,f754]) ).

fof(f754,plain,
    ( c3_1(a1040)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f752]) ).

fof(f1521,plain,
    ( spl0_114
    | spl0_135
    | ~ spl0_13
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1519,f1012,f292,f904,f788]) ).

fof(f1519,plain,
    ( c1_1(a1037)
    | c0_1(a1037)
    | ~ spl0_13
    | ~ spl0_152 ),
    inference(resolution,[],[f1014,f293]) ).

fof(f1515,plain,
    ( spl0_117
    | spl0_174
    | ~ spl0_13
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1509,f931,f292,f1512,f804]) ).

fof(f1509,plain,
    ( c1_1(a1041)
    | c0_1(a1041)
    | ~ spl0_13
    | ~ spl0_140 ),
    inference(resolution,[],[f933,f293]) ).

fof(f1455,plain,
    ( spl0_126
    | spl0_97
    | ~ spl0_50
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1443,f819,f451,f690,f856]) ).

fof(f451,plain,
    ( spl0_50
  <=> ! [X101] :
        ( c3_1(X101)
        | ~ c2_1(X101)
        | c1_1(X101) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1443,plain,
    ( c1_1(a1008)
    | c3_1(a1008)
    | ~ spl0_50
    | ~ spl0_120 ),
    inference(resolution,[],[f452,f821]) ).

fof(f452,plain,
    ( ! [X101] :
        ( ~ c2_1(X101)
        | c1_1(X101)
        | c3_1(X101) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f1451,plain,
    ( spl0_169
    | spl0_79
    | ~ spl0_39
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f1440,f451,f404,f588,f1329]) ).

fof(f1440,plain,
    ( c3_1(a1000)
    | c1_1(a1000)
    | ~ spl0_39
    | ~ spl0_50 ),
    inference(resolution,[],[f452,f406]) ).

fof(f1428,plain,
    ( spl0_151
    | spl0_148
    | ~ spl0_49
    | spl0_160 ),
    inference(avatar_split_clause,[],[f1421,f1114,f448,f981,f996]) ).

fof(f1421,plain,
    ( c0_1(a1038)
    | c2_1(a1038)
    | ~ spl0_49
    | spl0_160 ),
    inference(resolution,[],[f449,f1115]) ).

fof(f1115,plain,
    ( ~ c3_1(a1038)
    | spl0_160 ),
    inference(avatar_component_clause,[],[f1114]) ).

fof(f1393,plain,
    ( spl0_122
    | spl0_130
    | ~ spl0_48
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1383,f1090,f445,f876,f829]) ).

fof(f1383,plain,
    ( c2_1(a1005)
    | c3_1(a1005)
    | ~ spl0_48
    | ~ spl0_159 ),
    inference(resolution,[],[f446,f1092]) ).

fof(f1092,plain,
    ( c0_1(a1005)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1090]) ).

fof(f1391,plain,
    ( spl0_115
    | spl0_88
    | ~ spl0_48
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1386,f572,f445,f634,f793]) ).

fof(f1386,plain,
    ( c2_1(a1025)
    | c3_1(a1025)
    | ~ spl0_48
    | ~ spl0_76 ),
    inference(resolution,[],[f446,f574]) ).

fof(f1350,plain,
    ( spl0_104
    | spl0_144
    | ~ spl0_13
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1338,f1052,f292,f957,f729]) ).

fof(f1338,plain,
    ( c0_1(a1045)
    | c1_1(a1045)
    | ~ spl0_13
    | ~ spl0_157 ),
    inference(resolution,[],[f293,f1053]) ).

fof(f1346,plain,
    ( spl0_97
    | spl0_164
    | ~ spl0_13
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1336,f819,f292,f1244,f690]) ).

fof(f1336,plain,
    ( c0_1(a1008)
    | c1_1(a1008)
    | ~ spl0_13
    | ~ spl0_120 ),
    inference(resolution,[],[f293,f821]) ).

fof(f1321,plain,
    ( spl0_148
    | spl0_151
    | ~ spl0_42
    | spl0_54 ),
    inference(avatar_split_clause,[],[f1306,f466,f417,f996,f981]) ).

fof(f1306,plain,
    ( c2_1(a1038)
    | c0_1(a1038)
    | ~ spl0_42
    | spl0_54 ),
    inference(resolution,[],[f418,f468]) ).

fof(f468,plain,
    ( ~ c1_1(a1038)
    | spl0_54 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f1295,plain,
    ( spl0_127
    | spl0_132
    | ~ spl0_41
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1290,f628,f414,f888,f861]) ).

fof(f1290,plain,
    ( c2_1(a1052)
    | c0_1(a1052)
    | ~ spl0_41
    | ~ spl0_87 ),
    inference(resolution,[],[f415,f630]) ).

fof(f630,plain,
    ( c3_1(a1052)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f1292,plain,
    ( spl0_144
    | spl0_157
    | ~ spl0_41
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1289,f595,f414,f1052,f957]) ).

fof(f1289,plain,
    ( c2_1(a1045)
    | c0_1(a1045)
    | ~ spl0_41
    | ~ spl0_80 ),
    inference(resolution,[],[f415,f597]) ).

fof(f1287,plain,
    ( spl0_107
    | ~ spl0_161
    | ~ spl0_33
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1284,f835,f379,f1128,f746]) ).

fof(f379,plain,
    ( spl0_33
  <=> ! [X13] :
        ( ~ c3_1(X13)
        | ~ c0_1(X13)
        | c1_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1284,plain,
    ( ~ c0_1(a1023)
    | c1_1(a1023)
    | ~ spl0_33
    | ~ spl0_123 ),
    inference(resolution,[],[f837,f380]) ).

fof(f380,plain,
    ( ! [X13] :
        ( ~ c3_1(X13)
        | c1_1(X13)
        | ~ c0_1(X13) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f1271,plain,
    ( spl0_95
    | ~ spl0_106
    | ~ spl0_33
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1264,f782,f379,f741,f676]) ).

fof(f1264,plain,
    ( ~ c0_1(a1010)
    | c1_1(a1010)
    | ~ spl0_33
    | ~ spl0_113 ),
    inference(resolution,[],[f784,f380]) ).

fof(f1256,plain,
    ( spl0_92
    | spl0_122
    | ~ spl0_40
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1251,f1090,f410,f829,f657]) ).

fof(f657,plain,
    ( spl0_92
  <=> c1_1(a1005) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1251,plain,
    ( c3_1(a1005)
    | c1_1(a1005)
    | ~ spl0_40
    | ~ spl0_159 ),
    inference(resolution,[],[f411,f1092]) ).

fof(f1239,plain,
    ( spl0_132
    | spl0_127
    | ~ spl0_20
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1238,f1219,f322,f861,f888]) ).

fof(f1238,plain,
    ( c0_1(a1052)
    | c2_1(a1052)
    | ~ spl0_20
    | ~ spl0_163 ),
    inference(resolution,[],[f1221,f323]) ).

fof(f1221,plain,
    ( c1_1(a1052)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1219]) ).

fof(f1205,plain,
    ( ~ spl0_162
    | spl0_23
    | ~ spl0_32
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1198,f578,f376,f336,f1178]) ).

fof(f376,plain,
    ( spl0_32
  <=> ! [X14] :
        ( ~ c3_1(X14)
        | c0_1(X14)
        | ~ c1_1(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1198,plain,
    ( c0_1(a1019)
    | ~ c3_1(a1019)
    | ~ spl0_32
    | ~ spl0_77 ),
    inference(resolution,[],[f377,f580]) ).

fof(f377,plain,
    ( ! [X14] :
        ( ~ c1_1(X14)
        | ~ c3_1(X14)
        | c0_1(X14) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f1202,plain,
    ( spl0_144
    | ~ spl0_80
    | ~ spl0_32
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1199,f729,f376,f595,f957]) ).

fof(f1199,plain,
    ( ~ c3_1(a1045)
    | c0_1(a1045)
    | ~ spl0_32
    | ~ spl0_104 ),
    inference(resolution,[],[f377,f731]) ).

fof(f1193,plain,
    ( spl0_156
    | ~ spl0_99
    | ~ spl0_27
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1190,f752,f353,f702,f1047]) ).

fof(f1190,plain,
    ( ~ c0_1(a1040)
    | c2_1(a1040)
    | ~ spl0_27
    | ~ spl0_108 ),
    inference(resolution,[],[f354,f754]) ).

fof(f1157,plain,
    ( ~ spl0_99
    | spl0_156
    | ~ spl0_25
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f1154,f391,f345,f1047,f702]) ).

fof(f391,plain,
    ( spl0_36
  <=> c1_1(a1040) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1154,plain,
    ( c2_1(a1040)
    | ~ c0_1(a1040)
    | ~ spl0_25
    | ~ spl0_36 ),
    inference(resolution,[],[f393,f346]) ).

fof(f393,plain,
    ( c1_1(a1040)
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f1153,plain,
    ( spl0_128
    | spl0_71
    | ~ spl0_20
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1151,f986,f322,f548,f866]) ).

fof(f866,plain,
    ( spl0_128
  <=> c2_1(a1003) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f548,plain,
    ( spl0_71
  <=> c0_1(a1003) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f986,plain,
    ( spl0_149
  <=> c1_1(a1003) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1151,plain,
    ( c0_1(a1003)
    | c2_1(a1003)
    | ~ spl0_20
    | ~ spl0_149 ),
    inference(resolution,[],[f988,f323]) ).

fof(f988,plain,
    ( c1_1(a1003)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f986]) ).

fof(f1117,plain,
    ( spl0_151
    | spl0_160
    | ~ spl0_2
    | spl0_54 ),
    inference(avatar_split_clause,[],[f1112,f466,f247,f1114,f996]) ).

fof(f1112,plain,
    ( c3_1(a1038)
    | c2_1(a1038)
    | ~ spl0_2
    | spl0_54 ),
    inference(resolution,[],[f468,f248]) ).

fof(f1094,plain,
    ( spl0_49
    | ~ spl0_2
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f1084,f322,f247,f448]) ).

fof(f1084,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_2
    | ~ spl0_20 ),
    inference(duplicate_literal_removal,[],[f1078]) ).

fof(f1078,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_2
    | ~ spl0_20 ),
    inference(resolution,[],[f323,f248]) ).

fof(f1021,plain,
    ( spl0_122
    | spl0_130
    | ~ spl0_2
    | spl0_92 ),
    inference(avatar_split_clause,[],[f1008,f657,f247,f876,f829]) ).

fof(f1008,plain,
    ( c2_1(a1005)
    | c3_1(a1005)
    | ~ spl0_2
    | spl0_92 ),
    inference(resolution,[],[f248,f659]) ).

fof(f659,plain,
    ( ~ c1_1(a1005)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f1004,plain,
    ( ~ spl0_3
    | spl0_34
    | spl0_6
    | spl0_25 ),
    inference(avatar_split_clause,[],[f114,f345,f262,f383,f250]) ).

fof(f250,plain,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f383,plain,
    ( spl0_34
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f262,plain,
    ( spl0_6
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f114,plain,
    ! [X58] :
      ( ~ c0_1(X58)
      | hskp26
      | hskp8
      | ~ ndr1_0
      | ~ c1_1(X58)
      | c2_1(X58) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ( ( ndr1_0
        & c2_1(a1029)
        & c0_1(a1029)
        & c3_1(a1029) )
      | ~ hskp27 )
    & ( hskp14
      | hskp22
      | hskp12 )
    & ( hskp13
      | ! [X0] :
          ( c2_1(X0)
          | ~ c0_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ( c2_1(a1000)
        & c0_1(a1000)
        & ~ c3_1(a1000)
        & ndr1_0 )
      | ~ hskp0 )
    & ( hskp23
      | hskp4
      | ! [X1] :
          ( ~ c1_1(X1)
          | c3_1(X1)
          | ~ ndr1_0
          | ~ c2_1(X1) ) )
    & ( hskp4
      | hskp7
      | hskp21 )
    & ( hskp4
      | hskp19
      | ! [X2] :
          ( ~ ndr1_0
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | c3_1(X2) ) )
    & ( ( c1_1(a1040)
        & c3_1(a1040)
        & ndr1_0
        & c0_1(a1040) )
      | ~ hskp29 )
    & ( ! [X3] :
          ( ~ c0_1(X3)
          | ~ ndr1_0
          | ~ c1_1(X3)
          | c2_1(X3) )
      | ! [X4] :
          ( ~ c3_1(X4)
          | c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c2_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp10
      | ! [X6] :
          ( c2_1(X6)
          | ~ c1_1(X6)
          | c0_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ ndr1_0
          | ~ c3_1(X7)
          | ~ c0_1(X7) )
      | hskp26 )
    & ( ! [X8] :
          ( c1_1(X8)
          | c3_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 )
      | hskp27
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c2_1(X9)
          | ~ c0_1(X9)
          | c1_1(X9) ) )
    & ( hskp25
      | ! [X10] :
          ( ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0
          | c2_1(X10) )
      | hskp3 )
    & ( hskp19
      | ! [X11] :
          ( ~ c2_1(X11)
          | c1_1(X11)
          | ~ ndr1_0
          | ~ c0_1(X11) )
      | ! [X12] :
          ( c3_1(X12)
          | ~ ndr1_0
          | c1_1(X12)
          | ~ c0_1(X12) ) )
    & ( hskp15
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ ndr1_0
          | c1_1(X13)
          | ~ c0_1(X13) )
      | ! [X14] :
          ( c0_1(X14)
          | ~ c1_1(X14)
          | ~ ndr1_0
          | ~ c3_1(X14) ) )
    & ( ! [X15] :
          ( c0_1(X15)
          | ~ c2_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | hskp11
      | ! [X16] :
          ( ~ c3_1(X16)
          | c1_1(X16)
          | ~ ndr1_0
          | ~ c0_1(X16) ) )
    & ( hskp17
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c2_1(X17)
          | ~ c0_1(X17)
          | c3_1(X17) )
      | ! [X18] :
          ( ~ c1_1(X18)
          | ~ ndr1_0
          | ~ c2_1(X18)
          | ~ c0_1(X18) ) )
    & ( ! [X19] :
          ( ~ c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0
          | ~ c3_1(X19) )
      | ! [X20] :
          ( ~ c1_1(X20)
          | c0_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ ndr1_0
          | c1_1(X21)
          | c2_1(X21) ) )
    & ( ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 )
      | hskp14
      | ! [X23] :
          ( ~ c2_1(X23)
          | c0_1(X23)
          | ~ ndr1_0
          | ~ c1_1(X23) ) )
    & ( ( ndr1_0
        & ~ c3_1(a1008)
        & ~ c1_1(a1008)
        & c2_1(a1008) )
      | ~ hskp7 )
    & ( hskp3
      | hskp23
      | ! [X24] :
          ( ~ c3_1(X24)
          | c2_1(X24)
          | ~ ndr1_0
          | ~ c0_1(X24) ) )
    & ( ~ hskp1
      | ( c3_1(a1001)
        & ~ c1_1(a1001)
        & ndr1_0
        & c2_1(a1001) ) )
    & ( ! [X25] :
          ( c3_1(X25)
          | ~ c0_1(X25)
          | ~ ndr1_0
          | c1_1(X25) )
      | ! [X26] :
          ( ~ c1_1(X26)
          | c0_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X27] :
          ( ~ ndr1_0
          | ~ c2_1(X27)
          | c1_1(X27)
          | ~ c0_1(X27) )
      | ! [X28] :
          ( c2_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0
          | ~ c1_1(X28) )
      | ! [X29] :
          ( c0_1(X29)
          | c1_1(X29)
          | ~ c2_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( ~ c2_1(X30)
          | c1_1(X30)
          | c0_1(X30)
          | ~ ndr1_0 )
      | hskp4
      | ! [X31] :
          ( ~ c0_1(X31)
          | c2_1(X31)
          | ~ ndr1_0
          | ~ c3_1(X31) ) )
    & ( ( ~ c2_1(a1011)
        & ndr1_0
        & c1_1(a1011)
        & c0_1(a1011) )
      | ~ hskp9 )
    & ( hskp13
      | hskp23
      | hskp29 )
    & ( ! [X32] :
          ( ~ ndr1_0
          | c0_1(X32)
          | c3_1(X32)
          | ~ c1_1(X32) )
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c2_1(X33)
          | ~ c3_1(X33)
          | ~ c0_1(X33) )
      | hskp6 )
    & ( ! [X34] :
          ( c1_1(X34)
          | ~ ndr1_0
          | ~ c3_1(X34)
          | c2_1(X34) )
      | hskp7
      | ! [X35] :
          ( c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0
          | c0_1(X35) ) )
    & ( ( ~ c1_1(a1023)
        & ndr1_0
        & ~ c2_1(a1023)
        & c3_1(a1023) )
      | ~ hskp13 )
    & ( ~ hskp20
      | ( ~ c2_1(a1038)
        & ~ c1_1(a1038)
        & ndr1_0
        & ~ c0_1(a1038) ) )
    & ( ~ hskp5
      | ( ~ c1_1(a1005)
        & ~ c2_1(a1005)
        & ~ c3_1(a1005)
        & ndr1_0 ) )
    & ( hskp13
      | ! [X36] :
          ( ~ c1_1(X36)
          | ~ ndr1_0
          | c0_1(X36)
          | ~ c2_1(X36) )
      | ! [X37] :
          ( c1_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0
          | c2_1(X37) ) )
    & ( ! [X38] :
          ( ~ ndr1_0
          | c0_1(X38)
          | c2_1(X38)
          | ~ c3_1(X38) )
      | ! [X39] :
          ( c0_1(X39)
          | ~ ndr1_0
          | c2_1(X39)
          | c1_1(X39) )
      | ! [X40] :
          ( c1_1(X40)
          | ~ ndr1_0
          | ~ c2_1(X40)
          | c0_1(X40) ) )
    & ( ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | c1_1(X41)
          | c0_1(X41) )
      | hskp5
      | ! [X42] :
          ( ~ c2_1(X42)
          | ~ ndr1_0
          | ~ c0_1(X42)
          | ~ c1_1(X42) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a1032)
        & c2_1(a1032)
        & ~ c0_1(a1032) ) )
    & ( ! [X43] :
          ( c3_1(X43)
          | ~ c1_1(X43)
          | c2_1(X43)
          | ~ ndr1_0 )
      | hskp16
      | ! [X44] :
          ( ~ ndr1_0
          | c3_1(X44)
          | c1_1(X44)
          | c2_1(X44) ) )
    & ( ! [X45] :
          ( c0_1(X45)
          | c3_1(X45)
          | c2_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ ndr1_0
          | ~ c3_1(X46)
          | c0_1(X46) )
      | hskp6 )
    & ( ( ~ c3_1(a1004)
        & c1_1(a1004)
        & c2_1(a1004)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ~ hskp18
      | ( c3_1(a1036)
        & ndr1_0
        & c1_1(a1036)
        & ~ c2_1(a1036) ) )
    & ( ! [X47] :
          ( c0_1(X47)
          | ~ ndr1_0
          | c3_1(X47)
          | ~ c1_1(X47) )
      | hskp7
      | ! [X48] :
          ( ~ c2_1(X48)
          | ~ ndr1_0
          | c1_1(X48)
          | c3_1(X48) ) )
    & ( hskp27
      | hskp14
      | hskp6 )
    & ( ! [X49] :
          ( c3_1(X49)
          | ~ c1_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c2_1(X50)
          | ~ c3_1(X50)
          | c1_1(X50) )
      | ! [X51] :
          ( c2_1(X51)
          | ~ ndr1_0
          | ~ c0_1(X51)
          | ~ c3_1(X51) ) )
    & ( ! [X52] :
          ( c0_1(X52)
          | c2_1(X52)
          | c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c2_1(X53)
          | ~ ndr1_0
          | c1_1(X53)
          | c3_1(X53) )
      | ! [X54] :
          ( c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( ! [X55] :
          ( ~ ndr1_0
          | ~ c2_1(X55)
          | ~ c3_1(X55)
          | c0_1(X55) )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c0_1(X57)
          | ~ c3_1(X57)
          | ~ c1_1(X57)
          | ~ ndr1_0 ) )
    & ( ( ~ c0_1(a1003)
        & ~ c2_1(a1003)
        & ndr1_0
        & c1_1(a1003) )
      | ~ hskp3 )
    & ( hskp26
      | ! [X58] :
          ( ~ c1_1(X58)
          | c2_1(X58)
          | ~ ndr1_0
          | ~ c0_1(X58) )
      | hskp8 )
    & ( ! [X59] :
          ( ~ ndr1_0
          | c2_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59) )
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ ndr1_0
          | c0_1(X60)
          | ~ c1_1(X60) )
      | hskp0 )
    & ( ! [X61] :
          ( ~ c0_1(X61)
          | c2_1(X61)
          | ~ c1_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c0_1(X62)
          | ~ ndr1_0
          | ~ c3_1(X62) )
      | hskp6 )
    & ( ~ hskp12
      | ( ndr1_0
        & c2_1(a1019)
        & ~ c0_1(a1019)
        & c1_1(a1019) ) )
    & ( ! [X63] :
          ( c3_1(X63)
          | ~ c1_1(X63)
          | ~ ndr1_0
          | c2_1(X63) )
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ c0_1(X64)
          | c3_1(X64)
          | ~ ndr1_0 )
      | hskp15 )
    & ( hskp29
      | ! [X65] :
          ( c1_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0
          | c3_1(X65) )
      | hskp21 )
    & ( hskp15
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c0_1(X66)
          | ~ c3_1(X66)
          | c1_1(X66) )
      | hskp24 )
    & ( ! [X67] :
          ( ~ ndr1_0
          | ~ c0_1(X67)
          | c3_1(X67)
          | c2_1(X67) )
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c2_1(X68)
          | c0_1(X68)
          | c3_1(X68) )
      | ! [X69] :
          ( ~ c2_1(X69)
          | c1_1(X69)
          | ~ ndr1_0
          | ~ c0_1(X69) ) )
    & ( hskp7
      | ! [X70] :
          ( ~ c2_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0
          | ~ c1_1(X70) ) )
    & ( ~ hskp28
      | ( c2_1(a1033)
        & ndr1_0
        & c0_1(a1033)
        & c1_1(a1033) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ c0_1(a1026)
        & c2_1(a1026)
        & ~ c1_1(a1026) ) )
    & ( ( ndr1_0
        & c3_1(a1052)
        & ~ c2_1(a1052)
        & ~ c0_1(a1052) )
      | ~ hskp26 )
    & ( ~ hskp6
      | ( c3_1(a1006)
        & c0_1(a1006)
        & ndr1_0
        & ~ c2_1(a1006) ) )
    & ( ! [X71] :
          ( ~ ndr1_0
          | c2_1(X71)
          | c3_1(X71)
          | ~ c1_1(X71) )
      | ! [X72] :
          ( ~ c3_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0
          | c1_1(X72) )
      | hskp22 )
    & ( hskp22
      | ! [X73] :
          ( c2_1(X73)
          | ~ ndr1_0
          | ~ c3_1(X73)
          | ~ c1_1(X73) )
      | hskp6 )
    & ( hskp10
      | ! [X74] :
          ( ~ c1_1(X74)
          | c3_1(X74)
          | ~ ndr1_0
          | ~ c2_1(X74) )
      | ! [X75] :
          ( c3_1(X75)
          | ~ ndr1_0
          | c1_1(X75)
          | ~ c0_1(X75) ) )
    & ( ( ndr1_0
        & c1_1(a1044)
        & ~ c3_1(a1044)
        & c0_1(a1044) )
      | ~ hskp23 )
    & ( hskp25
      | hskp19
      | hskp24 )
    & ( hskp3
      | hskp29
      | hskp26 )
    & ( ( c1_1(a1030)
        & ~ c3_1(a1030)
        & ndr1_0
        & ~ c2_1(a1030) )
      | ~ hskp16 )
    & ( ! [X76] :
          ( ~ c1_1(X76)
          | ~ ndr1_0
          | c2_1(X76)
          | c0_1(X76) )
      | hskp8
      | hskp7 )
    & ( hskp24
      | hskp3
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c2_1(X77)
          | ~ c3_1(X77)
          | ~ c0_1(X77) ) )
    & ( ! [X78] :
          ( ~ c2_1(X78)
          | ~ ndr1_0
          | c1_1(X78)
          | ~ c3_1(X78) )
      | ! [X79] :
          ( ~ c2_1(X79)
          | ~ ndr1_0
          | ~ c0_1(X79)
          | c1_1(X79) )
      | hskp6 )
    & ( hskp23
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | c1_1(X80)
          | ~ c0_1(X80) ) )
    & ( ( ndr1_0
        & c2_1(a1041)
        & ~ c0_1(a1041)
        & ~ c3_1(a1041) )
      | ~ hskp21 )
    & ( ! [X81] :
          ( c3_1(X81)
          | c1_1(X81)
          | ~ ndr1_0
          | c0_1(X81) )
      | hskp2
      | ! [X82] :
          ( ~ ndr1_0
          | c1_1(X82)
          | c2_1(X82)
          | c3_1(X82) ) )
    & ( ( ~ c0_1(a1048)
        & ~ c3_1(a1048)
        & c1_1(a1048)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ! [X83] :
          ( ~ ndr1_0
          | ~ c3_1(X83)
          | c1_1(X83)
          | c2_1(X83) )
      | hskp28
      | hskp8 )
    & ( hskp1
      | ! [X84] :
          ( ~ c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0
          | c3_1(X84) )
      | hskp2 )
    & ( ! [X85] :
          ( ~ c0_1(X85)
          | ~ ndr1_0
          | ~ c3_1(X85)
          | c1_1(X85) )
      | ! [X86] :
          ( ~ c2_1(X86)
          | c3_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c0_1(X87)
          | ~ ndr1_0
          | c3_1(X87)
          | ~ c1_1(X87) ) )
    & ( ( ndr1_0
        & ~ c1_1(a1037)
        & ~ c3_1(a1037)
        & ~ c0_1(a1037) )
      | ~ hskp19 )
    & ( ! [X88] :
          ( ~ c1_1(X88)
          | c0_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | hskp11
      | ! [X89] :
          ( c0_1(X89)
          | ~ ndr1_0
          | ~ c1_1(X89)
          | c3_1(X89) ) )
    & ( hskp7
      | hskp26
      | hskp27 )
    & ( hskp20
      | ! [X90] :
          ( c3_1(X90)
          | c1_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c0_1(X91)
          | ~ ndr1_0
          | c3_1(X91)
          | c2_1(X91) ) )
    & ( hskp12
      | hskp5
      | hskp29 )
    & ( hskp18
      | hskp23
      | hskp20 )
    & ( ! [X92] :
          ( c0_1(X92)
          | ~ c2_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp9
      | ! [X93] :
          ( c2_1(X93)
          | c3_1(X93)
          | ~ ndr1_0
          | ~ c1_1(X93) ) )
    & ( ~ hskp8
      | ( c3_1(a1010)
        & ~ c1_1(a1010)
        & ndr1_0
        & c0_1(a1010) ) )
    & ( ! [X94] :
          ( c1_1(X94)
          | ~ ndr1_0
          | ~ c3_1(X94)
          | c2_1(X94) )
      | hskp18
      | hskp10 )
    & ( ! [X95] :
          ( c2_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 )
      | hskp0
      | hskp1 )
    & ( ! [X96] :
          ( c3_1(X96)
          | c2_1(X96)
          | ~ ndr1_0
          | c1_1(X96) )
      | hskp12
      | ! [X97] :
          ( ~ c3_1(X97)
          | c2_1(X97)
          | ~ ndr1_0
          | ~ c0_1(X97) ) )
    & ( ( ~ c2_1(a1043)
        & ndr1_0
        & ~ c1_1(a1043)
        & c0_1(a1043) )
      | ~ hskp22 )
    & ( ! [X98] :
          ( ~ ndr1_0
          | ~ c2_1(X98)
          | c0_1(X98)
          | ~ c1_1(X98) )
      | hskp8
      | ! [X99] :
          ( c1_1(X99)
          | ~ ndr1_0
          | ~ c3_1(X99)
          | ~ c2_1(X99) ) )
    & ( ( ~ c1_1(a1015)
        & ndr1_0
        & c3_1(a1015)
        & ~ c0_1(a1015) )
      | ~ hskp11 )
    & ( ! [X100] :
          ( c0_1(X100)
          | c3_1(X100)
          | ~ ndr1_0
          | c2_1(X100) )
      | ! [X101] :
          ( ~ ndr1_0
          | c1_1(X101)
          | c3_1(X101)
          | ~ c2_1(X101) )
      | ! [X102] :
          ( ~ ndr1_0
          | c3_1(X102)
          | c2_1(X102)
          | ~ c0_1(X102) ) )
    & ( ! [X103] :
          ( c3_1(X103)
          | ~ ndr1_0
          | c2_1(X103)
          | c1_1(X103) )
      | ! [X104] :
          ( ~ ndr1_0
          | c3_1(X104)
          | ~ c1_1(X104)
          | ~ c0_1(X104) )
      | hskp17 )
    & ( hskp12
      | ! [X105] :
          ( c3_1(X105)
          | c0_1(X105)
          | ~ c1_1(X105)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ( ~ c3_1(a1025)
        & ~ c2_1(a1025)
        & c0_1(a1025)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ! [X106] :
          ( c2_1(X106)
          | ~ c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 )
      | hskp8
      | ! [X107] :
          ( c3_1(X107)
          | ~ ndr1_0
          | ~ c2_1(X107)
          | c1_1(X107) ) )
    & ( hskp13
      | ! [X108] :
          ( ~ ndr1_0
          | c3_1(X108)
          | ~ c0_1(X108)
          | c1_1(X108) )
      | ! [X109] :
          ( ~ ndr1_0
          | c2_1(X109)
          | c1_1(X109)
          | c3_1(X109) ) )
    & ( ! [X110] :
          ( ~ c3_1(X110)
          | c2_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c3_1(X111)
          | c1_1(X111)
          | ~ ndr1_0
          | c0_1(X111) )
      | ! [X112] :
          ( ~ ndr1_0
          | ~ c2_1(X112)
          | c1_1(X112)
          | c3_1(X112) ) )
    & ( ( c0_1(a1002)
        & ndr1_0
        & c2_1(a1002)
        & ~ c1_1(a1002) )
      | ~ hskp2 )
    & ( ( c1_1(a1045)
        & ndr1_0
        & c3_1(a1045)
        & ~ c0_1(a1045) )
      | ~ hskp24 )
    & ( ( c0_1(a1012)
        & ndr1_0
        & ~ c3_1(a1012)
        & ~ c1_1(a1012) )
      | ~ hskp10 )
    & ( ! [X113] :
          ( ~ ndr1_0
          | c3_1(X113)
          | ~ c1_1(X113)
          | c2_1(X113) )
      | ! [X114] :
          ( ~ ndr1_0
          | ~ c2_1(X114)
          | c1_1(X114)
          | c0_1(X114) )
      | hskp3 )
    & ( hskp12
      | ! [X115] :
          ( ~ c1_1(X115)
          | ~ c0_1(X115)
          | ~ ndr1_0
          | ~ c2_1(X115) )
      | hskp9 ) ),
    inference(rectify,[],[f6]) ).

fof(f6,plain,
    ( ( ( ndr1_0
        & c2_1(a1029)
        & c0_1(a1029)
        & c3_1(a1029) )
      | ~ hskp27 )
    & ( hskp14
      | hskp22
      | hskp12 )
    & ( hskp13
      | ! [X95] :
          ( c2_1(X95)
          | ~ c0_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ( c2_1(a1000)
        & c0_1(a1000)
        & ~ c3_1(a1000)
        & ndr1_0 )
      | ~ hskp0 )
    & ( hskp23
      | hskp4
      | ! [X38] :
          ( ~ c1_1(X38)
          | c3_1(X38)
          | ~ ndr1_0
          | ~ c2_1(X38) ) )
    & ( hskp4
      | hskp7
      | hskp21 )
    & ( hskp4
      | hskp19
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c1_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8) ) )
    & ( ( c1_1(a1040)
        & c3_1(a1040)
        & ndr1_0
        & c0_1(a1040) )
      | ~ hskp29 )
    & ( ! [X68] :
          ( ~ c0_1(X68)
          | ~ ndr1_0
          | ~ c1_1(X68)
          | c2_1(X68) )
      | ! [X69] :
          ( ~ c3_1(X69)
          | c1_1(X69)
          | ~ c0_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c2_1(X70)
          | ~ c1_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp10
      | ! [X114] :
          ( c2_1(X114)
          | ~ c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X12] :
          ( ~ c2_1(X12)
          | ~ ndr1_0
          | ~ c3_1(X12)
          | ~ c0_1(X12) )
      | hskp26 )
    & ( ! [X3] :
          ( c1_1(X3)
          | c3_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | hskp27
      | ! [X2] :
          ( ~ ndr1_0
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | c1_1(X2) ) )
    & ( hskp25
      | ! [X113] :
          ( ~ c0_1(X113)
          | c3_1(X113)
          | ~ ndr1_0
          | c2_1(X113) )
      | hskp3 )
    & ( hskp19
      | ! [X72] :
          ( ~ c2_1(X72)
          | c1_1(X72)
          | ~ ndr1_0
          | ~ c0_1(X72) )
      | ! [X73] :
          ( c3_1(X73)
          | ~ ndr1_0
          | c1_1(X73)
          | ~ c0_1(X73) ) )
    & ( hskp15
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ ndr1_0
          | c1_1(X5)
          | ~ c0_1(X5) )
      | ! [X4] :
          ( c0_1(X4)
          | ~ c1_1(X4)
          | ~ ndr1_0
          | ~ c3_1(X4) ) )
    & ( ! [X101] :
          ( c0_1(X101)
          | ~ c2_1(X101)
          | c3_1(X101)
          | ~ ndr1_0 )
      | hskp11
      | ! [X102] :
          ( ~ c3_1(X102)
          | c1_1(X102)
          | ~ ndr1_0
          | ~ c0_1(X102) ) )
    & ( hskp17
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c2_1(X48)
          | ~ c0_1(X48)
          | c3_1(X48) )
      | ! [X47] :
          ( ~ c1_1(X47)
          | ~ ndr1_0
          | ~ c2_1(X47)
          | ~ c0_1(X47) ) )
    & ( ! [X42] :
          ( ~ c1_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0
          | ~ c3_1(X42) )
      | ! [X41] :
          ( ~ c1_1(X41)
          | c0_1(X41)
          | c3_1(X41)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ ndr1_0
          | c1_1(X43)
          | c2_1(X43) ) )
    & ( ! [X26] :
          ( ~ c3_1(X26)
          | ~ c0_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 )
      | hskp14
      | ! [X25] :
          ( ~ c2_1(X25)
          | c0_1(X25)
          | ~ ndr1_0
          | ~ c1_1(X25) ) )
    & ( ( ndr1_0
        & ~ c3_1(a1008)
        & ~ c1_1(a1008)
        & c2_1(a1008) )
      | ~ hskp7 )
    & ( hskp3
      | hskp23
      | ! [X64] :
          ( ~ c3_1(X64)
          | c2_1(X64)
          | ~ ndr1_0
          | ~ c0_1(X64) ) )
    & ( ~ hskp1
      | ( c3_1(a1001)
        & ~ c1_1(a1001)
        & ndr1_0
        & c2_1(a1001) ) )
    & ( ! [X89] :
          ( c3_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0
          | c1_1(X89) )
      | ! [X88] :
          ( ~ c1_1(X88)
          | c0_1(X88)
          | c2_1(X88)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X16] :
          ( ~ ndr1_0
          | ~ c2_1(X16)
          | c1_1(X16)
          | ~ c0_1(X16) )
      | ! [X15] :
          ( c2_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0
          | ~ c1_1(X15) )
      | ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 ) )
    & ( ! [X100] :
          ( ~ c2_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 )
      | hskp4
      | ! [X99] :
          ( ~ c0_1(X99)
          | c2_1(X99)
          | ~ ndr1_0
          | ~ c3_1(X99) ) )
    & ( ( ~ c2_1(a1011)
        & ndr1_0
        & c1_1(a1011)
        & c0_1(a1011) )
      | ~ hskp9 )
    & ( hskp13
      | hskp23
      | hskp29 )
    & ( ! [X106] :
          ( ~ ndr1_0
          | c0_1(X106)
          | c3_1(X106)
          | ~ c1_1(X106) )
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c2_1(X107)
          | ~ c3_1(X107)
          | ~ c0_1(X107) )
      | hskp6 )
    & ( ! [X20] :
          ( c1_1(X20)
          | ~ ndr1_0
          | ~ c3_1(X20)
          | c2_1(X20) )
      | hskp7
      | ! [X19] :
          ( c2_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0
          | c0_1(X19) ) )
    & ( ( ~ c1_1(a1023)
        & ndr1_0
        & ~ c2_1(a1023)
        & c3_1(a1023) )
      | ~ hskp13 )
    & ( ~ hskp20
      | ( ~ c2_1(a1038)
        & ~ c1_1(a1038)
        & ndr1_0
        & ~ c0_1(a1038) ) )
    & ( ~ hskp5
      | ( ~ c1_1(a1005)
        & ~ c2_1(a1005)
        & ~ c3_1(a1005)
        & ndr1_0 ) )
    & ( hskp13
      | ! [X75] :
          ( ~ c1_1(X75)
          | ~ ndr1_0
          | c0_1(X75)
          | ~ c2_1(X75) )
      | ! [X74] :
          ( c1_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0
          | c2_1(X74) ) )
    & ( ! [X81] :
          ( ~ ndr1_0
          | c0_1(X81)
          | c2_1(X81)
          | ~ c3_1(X81) )
      | ! [X82] :
          ( c0_1(X82)
          | ~ ndr1_0
          | c2_1(X82)
          | c1_1(X82) )
      | ! [X83] :
          ( c1_1(X83)
          | ~ ndr1_0
          | ~ c2_1(X83)
          | c0_1(X83) ) )
    & ( ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | c1_1(X62)
          | c0_1(X62) )
      | hskp5
      | ! [X63] :
          ( ~ c2_1(X63)
          | ~ ndr1_0
          | ~ c0_1(X63)
          | ~ c1_1(X63) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a1032)
        & c2_1(a1032)
        & ~ c0_1(a1032) ) )
    & ( ! [X28] :
          ( c3_1(X28)
          | ~ c1_1(X28)
          | c2_1(X28)
          | ~ ndr1_0 )
      | hskp16
      | ! [X27] :
          ( ~ ndr1_0
          | c3_1(X27)
          | c1_1(X27)
          | c2_1(X27) ) )
    & ( ! [X36] :
          ( c0_1(X36)
          | c3_1(X36)
          | c2_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c2_1(X37)
          | ~ ndr1_0
          | ~ c3_1(X37)
          | c0_1(X37) )
      | hskp6 )
    & ( ( ~ c3_1(a1004)
        & c1_1(a1004)
        & c2_1(a1004)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ~ hskp18
      | ( c3_1(a1036)
        & ndr1_0
        & c1_1(a1036)
        & ~ c2_1(a1036) ) )
    & ( ! [X50] :
          ( c0_1(X50)
          | ~ ndr1_0
          | c3_1(X50)
          | ~ c1_1(X50) )
      | hskp7
      | ! [X49] :
          ( ~ c2_1(X49)
          | ~ ndr1_0
          | c1_1(X49)
          | c3_1(X49) ) )
    & ( hskp27
      | hskp14
      | hskp6 )
    & ( ! [X22] :
          ( c3_1(X22)
          | ~ c1_1(X22)
          | ~ c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c2_1(X23)
          | ~ c3_1(X23)
          | c1_1(X23) )
      | ! [X24] :
          ( c2_1(X24)
          | ~ ndr1_0
          | ~ c0_1(X24)
          | ~ c3_1(X24) ) )
    & ( ! [X91] :
          ( c0_1(X91)
          | c2_1(X91)
          | c3_1(X91)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c2_1(X90)
          | ~ ndr1_0
          | c1_1(X90)
          | c3_1(X90) )
      | ! [X92] :
          ( c3_1(X92)
          | ~ c1_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( ! [X108] :
          ( ~ ndr1_0
          | ~ c2_1(X108)
          | ~ c3_1(X108)
          | c0_1(X108) )
      | ! [X110] :
          ( ~ c3_1(X110)
          | ~ c2_1(X110)
          | ~ c1_1(X110)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c0_1(X109)
          | ~ c3_1(X109)
          | ~ c1_1(X109)
          | ~ ndr1_0 ) )
    & ( ( ~ c0_1(a1003)
        & ~ c2_1(a1003)
        & ndr1_0
        & c1_1(a1003) )
      | ~ hskp3 )
    & ( hskp26
      | ! [X21] :
          ( ~ c1_1(X21)
          | c2_1(X21)
          | ~ ndr1_0
          | ~ c0_1(X21) )
      | hskp8 )
    & ( ! [X6] :
          ( ~ ndr1_0
          | c2_1(X6)
          | ~ c1_1(X6)
          | c0_1(X6) )
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ ndr1_0
          | c0_1(X7)
          | ~ c1_1(X7) )
      | hskp0 )
    & ( ! [X40] :
          ( ~ c0_1(X40)
          | c2_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c2_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0
          | ~ c3_1(X39) )
      | hskp6 )
    & ( ~ hskp12
      | ( ndr1_0
        & c2_1(a1019)
        & ~ c0_1(a1019)
        & c1_1(a1019) ) )
    & ( ! [X98] :
          ( c3_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0
          | c2_1(X98) )
      | ! [X97] :
          ( ~ c2_1(X97)
          | ~ c0_1(X97)
          | c3_1(X97)
          | ~ ndr1_0 )
      | hskp15 )
    & ( hskp29
      | ! [X18] :
          ( c1_1(X18)
          | ~ c0_1(X18)
          | ~ ndr1_0
          | c3_1(X18) )
      | hskp21 )
    & ( hskp15
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c0_1(X86)
          | ~ c3_1(X86)
          | c1_1(X86) )
      | hskp24 )
    & ( ! [X10] :
          ( ~ ndr1_0
          | ~ c0_1(X10)
          | c3_1(X10)
          | c2_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c2_1(X9)
          | c0_1(X9)
          | c3_1(X9) )
      | ! [X11] :
          ( ~ c2_1(X11)
          | c1_1(X11)
          | ~ ndr1_0
          | ~ c0_1(X11) ) )
    & ( hskp7
      | ! [X96] :
          ( ~ c2_1(X96)
          | ~ c0_1(X96)
          | ~ ndr1_0
          | ~ c1_1(X96) ) )
    & ( ~ hskp28
      | ( c2_1(a1033)
        & ndr1_0
        & c0_1(a1033)
        & c1_1(a1033) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ c0_1(a1026)
        & c2_1(a1026)
        & ~ c1_1(a1026) ) )
    & ( ( ndr1_0
        & c3_1(a1052)
        & ~ c2_1(a1052)
        & ~ c0_1(a1052) )
      | ~ hskp26 )
    & ( ~ hskp6
      | ( c3_1(a1006)
        & c0_1(a1006)
        & ndr1_0
        & ~ c2_1(a1006) ) )
    & ( ! [X93] :
          ( ~ ndr1_0
          | c2_1(X93)
          | c3_1(X93)
          | ~ c1_1(X93) )
      | ! [X94] :
          ( ~ c3_1(X94)
          | ~ c0_1(X94)
          | ~ ndr1_0
          | c1_1(X94) )
      | hskp22 )
    & ( hskp22
      | ! [X1] :
          ( c2_1(X1)
          | ~ ndr1_0
          | ~ c3_1(X1)
          | ~ c1_1(X1) )
      | hskp6 )
    & ( hskp10
      | ! [X31] :
          ( ~ c1_1(X31)
          | c3_1(X31)
          | ~ ndr1_0
          | ~ c2_1(X31) )
      | ! [X30] :
          ( c3_1(X30)
          | ~ ndr1_0
          | c1_1(X30)
          | ~ c0_1(X30) ) )
    & ( ( ndr1_0
        & c1_1(a1044)
        & ~ c3_1(a1044)
        & c0_1(a1044) )
      | ~ hskp23 )
    & ( hskp25
      | hskp19
      | hskp24 )
    & ( hskp3
      | hskp29
      | hskp26 )
    & ( ( c1_1(a1030)
        & ~ c3_1(a1030)
        & ndr1_0
        & ~ c2_1(a1030) )
      | ~ hskp16 )
    & ( ! [X71] :
          ( ~ c1_1(X71)
          | ~ ndr1_0
          | c2_1(X71)
          | c0_1(X71) )
      | hskp8
      | hskp7 )
    & ( hskp24
      | hskp3
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c2_1(X32)
          | ~ c3_1(X32)
          | ~ c0_1(X32) ) )
    & ( ! [X59] :
          ( ~ c2_1(X59)
          | ~ ndr1_0
          | c1_1(X59)
          | ~ c3_1(X59) )
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ ndr1_0
          | ~ c0_1(X58)
          | c1_1(X58) )
      | hskp6 )
    & ( hskp23
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c3_1(X29)
          | c1_1(X29)
          | ~ c0_1(X29) ) )
    & ( ( ndr1_0
        & c2_1(a1041)
        & ~ c0_1(a1041)
        & ~ c3_1(a1041) )
      | ~ hskp21 )
    & ( ! [X112] :
          ( c3_1(X112)
          | c1_1(X112)
          | ~ ndr1_0
          | c0_1(X112) )
      | hskp2
      | ! [X111] :
          ( ~ ndr1_0
          | c1_1(X111)
          | c2_1(X111)
          | c3_1(X111) ) )
    & ( ( ~ c0_1(a1048)
        & ~ c3_1(a1048)
        & c1_1(a1048)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ! [X0] :
          ( ~ ndr1_0
          | ~ c3_1(X0)
          | c1_1(X0)
          | c2_1(X0) )
      | hskp28
      | hskp8 )
    & ( hskp1
      | ! [X76] :
          ( ~ c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0
          | c3_1(X76) )
      | hskp2 )
    & ( ! [X105] :
          ( ~ c0_1(X105)
          | ~ ndr1_0
          | ~ c3_1(X105)
          | c1_1(X105) )
      | ! [X104] :
          ( ~ c2_1(X104)
          | c3_1(X104)
          | ~ c0_1(X104)
          | ~ ndr1_0 )
      | ! [X103] :
          ( c0_1(X103)
          | ~ ndr1_0
          | c3_1(X103)
          | ~ c1_1(X103) ) )
    & ( ( ndr1_0
        & ~ c1_1(a1037)
        & ~ c3_1(a1037)
        & ~ c0_1(a1037) )
      | ~ hskp19 )
    & ( ! [X13] :
          ( ~ c1_1(X13)
          | c0_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | hskp11
      | ! [X14] :
          ( c0_1(X14)
          | ~ ndr1_0
          | ~ c1_1(X14)
          | c3_1(X14) ) )
    & ( hskp7
      | hskp26
      | hskp27 )
    & ( hskp20
      | ! [X78] :
          ( c3_1(X78)
          | c1_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c0_1(X77)
          | ~ ndr1_0
          | c3_1(X77)
          | c2_1(X77) ) )
    & ( hskp12
      | hskp5
      | hskp29 )
    & ( hskp18
      | hskp23
      | hskp20 )
    & ( ! [X56] :
          ( c0_1(X56)
          | ~ c2_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | hskp9
      | ! [X57] :
          ( c2_1(X57)
          | c3_1(X57)
          | ~ ndr1_0
          | ~ c1_1(X57) ) )
    & ( ~ hskp8
      | ( c3_1(a1010)
        & ~ c1_1(a1010)
        & ndr1_0
        & c0_1(a1010) ) )
    & ( ! [X115] :
          ( c1_1(X115)
          | ~ ndr1_0
          | ~ c3_1(X115)
          | c2_1(X115) )
      | hskp18
      | hskp10 )
    & ( ! [X46] :
          ( c2_1(X46)
          | c1_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 )
      | hskp0
      | hskp1 )
    & ( ! [X34] :
          ( c3_1(X34)
          | c2_1(X34)
          | ~ ndr1_0
          | c1_1(X34) )
      | hskp12
      | ! [X33] :
          ( ~ c3_1(X33)
          | c2_1(X33)
          | ~ ndr1_0
          | ~ c0_1(X33) ) )
    & ( ( ~ c2_1(a1043)
        & ndr1_0
        & ~ c1_1(a1043)
        & c0_1(a1043) )
      | ~ hskp22 )
    & ( ! [X84] :
          ( ~ ndr1_0
          | ~ c2_1(X84)
          | c0_1(X84)
          | ~ c1_1(X84) )
      | hskp8
      | ! [X85] :
          ( c1_1(X85)
          | ~ ndr1_0
          | ~ c3_1(X85)
          | ~ c2_1(X85) ) )
    & ( ( ~ c1_1(a1015)
        & ndr1_0
        & c3_1(a1015)
        & ~ c0_1(a1015) )
      | ~ hskp11 )
    & ( ! [X66] :
          ( c0_1(X66)
          | c3_1(X66)
          | ~ ndr1_0
          | c2_1(X66) )
      | ! [X65] :
          ( ~ ndr1_0
          | c1_1(X65)
          | c3_1(X65)
          | ~ c2_1(X65) )
      | ! [X67] :
          ( ~ ndr1_0
          | c3_1(X67)
          | c2_1(X67)
          | ~ c0_1(X67) ) )
    & ( ! [X61] :
          ( c3_1(X61)
          | ~ ndr1_0
          | c2_1(X61)
          | c1_1(X61) )
      | ! [X60] :
          ( ~ ndr1_0
          | c3_1(X60)
          | ~ c1_1(X60)
          | ~ c0_1(X60) )
      | hskp17 )
    & ( hskp12
      | ! [X87] :
          ( c3_1(X87)
          | c0_1(X87)
          | ~ c1_1(X87)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ( ~ c3_1(a1025)
        & ~ c2_1(a1025)
        & c0_1(a1025)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ! [X51] :
          ( c2_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 )
      | hskp8
      | ! [X52] :
          ( c3_1(X52)
          | ~ ndr1_0
          | ~ c2_1(X52)
          | c1_1(X52) ) )
    & ( hskp13
      | ! [X79] :
          ( ~ ndr1_0
          | c3_1(X79)
          | ~ c0_1(X79)
          | c1_1(X79) )
      | ! [X80] :
          ( ~ ndr1_0
          | c2_1(X80)
          | c1_1(X80)
          | c3_1(X80) ) )
    & ( ! [X53] :
          ( ~ c3_1(X53)
          | c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | c1_1(X54)
          | ~ ndr1_0
          | c0_1(X54) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c2_1(X55)
          | c1_1(X55)
          | c3_1(X55) ) )
    & ( ( c0_1(a1002)
        & ndr1_0
        & c2_1(a1002)
        & ~ c1_1(a1002) )
      | ~ hskp2 )
    & ( ( c1_1(a1045)
        & ndr1_0
        & c3_1(a1045)
        & ~ c0_1(a1045) )
      | ~ hskp24 )
    & ( ( c0_1(a1012)
        & ndr1_0
        & ~ c3_1(a1012)
        & ~ c1_1(a1012) )
      | ~ hskp10 )
    & ( ! [X44] :
          ( ~ ndr1_0
          | c3_1(X44)
          | ~ c1_1(X44)
          | c2_1(X44) )
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c2_1(X45)
          | c1_1(X45)
          | c0_1(X45) )
      | hskp3 )
    & ( hskp12
      | ! [X35] :
          ( ~ c1_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0
          | ~ c2_1(X35) )
      | hskp9 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( ( ~ c0_1(a1048)
        & ~ c3_1(a1048)
        & c1_1(a1048)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ! [X95] :
          ( ~ c0_1(X95)
          | ~ c1_1(X95)
          | c2_1(X95)
          | ~ ndr1_0 )
      | hskp6
      | hskp13 )
    & ( ! [X28] :
          ( ~ c1_1(X28)
          | c3_1(X28)
          | c2_1(X28)
          | ~ ndr1_0 )
      | hskp16
      | ! [X27] :
          ( c2_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c2_1(a1019)
        & ~ c0_1(a1019)
        & c1_1(a1019) ) )
    & ( ! [X81] :
          ( c0_1(X81)
          | ~ c3_1(X81)
          | c2_1(X81)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c2_1(X83)
          | c0_1(X83)
          | c1_1(X83)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c0_1(X82)
          | c1_1(X82)
          | c2_1(X82)
          | ~ ndr1_0 ) )
    & ( ! [X115] :
          ( c1_1(X115)
          | ~ c3_1(X115)
          | c2_1(X115)
          | ~ ndr1_0 )
      | hskp18
      | hskp10 )
    & ( ~ hskp1
      | ( c3_1(a1001)
        & ~ c1_1(a1001)
        & ndr1_0
        & c2_1(a1001) ) )
    & ( ( ndr1_0
        & c1_1(a1044)
        & ~ c3_1(a1044)
        & c0_1(a1044) )
      | ~ hskp23 )
    & ( ! [X13] :
          ( ~ c1_1(X13)
          | c0_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | hskp11
      | ! [X14] :
          ( ~ c1_1(X14)
          | c0_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ c0_1(a1026)
        & c2_1(a1026)
        & ~ c1_1(a1026) ) )
    & ( hskp19
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | hskp4 )
    & ( hskp13
      | ! [X79] :
          ( ~ c0_1(X79)
          | c3_1(X79)
          | c1_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c3_1(X80)
          | c2_1(X80)
          | c1_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X76] :
          ( c0_1(X76)
          | c3_1(X76)
          | ~ c2_1(X76)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X97] :
          ( c3_1(X97)
          | ~ c0_1(X97)
          | ~ c2_1(X97)
          | ~ ndr1_0 )
      | hskp15
      | ! [X98] :
          ( c2_1(X98)
          | ~ c1_1(X98)
          | c3_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X49] :
          ( ~ c2_1(X49)
          | c3_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c3_1(X50)
          | c0_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp23
      | hskp29 )
    & ( hskp12
      | ! [X35] :
          ( ~ c1_1(X35)
          | ~ c2_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ~ hskp28
      | ( c2_1(a1033)
        & ndr1_0
        & c0_1(a1033)
        & c1_1(a1033) ) )
    & ( ~ hskp18
      | ( c3_1(a1036)
        & ndr1_0
        & c1_1(a1036)
        & ~ c2_1(a1036) ) )
    & ( ~ hskp20
      | ( ~ c2_1(a1038)
        & ~ c1_1(a1038)
        & ndr1_0
        & ~ c0_1(a1038) ) )
    & ( hskp18
      | hskp23
      | hskp20 )
    & ( hskp12
      | hskp5
      | hskp29 )
    & ( hskp25
      | hskp19
      | hskp24 )
    & ( ! [X90] :
          ( c3_1(X90)
          | c1_1(X90)
          | c2_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c3_1(X91)
          | c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c3_1(X92)
          | ~ c1_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( ~ hskp6
      | ( c3_1(a1006)
        & c0_1(a1006)
        & ndr1_0
        & ~ c2_1(a1006) ) )
    & ( ( c0_1(a1002)
        & ndr1_0
        & c2_1(a1002)
        & ~ c1_1(a1002) )
      | ~ hskp2 )
    & ( hskp14
      | hskp22
      | hskp12 )
    & ( ! [X96] :
          ( ~ c2_1(X96)
          | ~ c0_1(X96)
          | ~ c1_1(X96)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ( c1_1(a1045)
        & ndr1_0
        & c3_1(a1045)
        & ~ c0_1(a1045) )
      | ~ hskp24 )
    & ( hskp7
      | hskp26
      | hskp27 )
    & ( ( ~ c1_1(a1023)
        & ndr1_0
        & ~ c2_1(a1023)
        & c3_1(a1023) )
      | ~ hskp13 )
    & ( ! [X75] :
          ( ~ c2_1(X75)
          | c0_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X55] :
          ( ~ c2_1(X55)
          | c1_1(X55)
          | c3_1(X55)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | c0_1(X54)
          | c1_1(X54)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c2_1(X53)
          | c0_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X18] :
          ( c3_1(X18)
          | c1_1(X18)
          | ~ c0_1(X18)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X107] :
          ( ~ c3_1(X107)
          | ~ c0_1(X107)
          | ~ c2_1(X107)
          | ~ ndr1_0 )
      | ! [X106] :
          ( c0_1(X106)
          | c3_1(X106)
          | ~ c1_1(X106)
          | ~ ndr1_0 )
      | hskp6 )
    & ( hskp4
      | hskp7
      | hskp21 )
    & ( ( ~ c1_1(a1015)
        & ndr1_0
        & c3_1(a1015)
        & ~ c0_1(a1015) )
      | ~ hskp11 )
    & ( ( ~ c2_1(a1011)
        & ndr1_0
        & c1_1(a1011)
        & c0_1(a1011) )
      | ~ hskp9 )
    & ( hskp3
      | ! [X113] :
          ( c3_1(X113)
          | c2_1(X113)
          | ~ c0_1(X113)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X61] :
          ( c2_1(X61)
          | c1_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | hskp17
      | ! [X60] :
          ( c3_1(X60)
          | ~ c0_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a1030)
        & ~ c3_1(a1030)
        & ndr1_0
        & ~ c2_1(a1030) )
      | ~ hskp16 )
    & ( ! [X88] :
          ( ~ c1_1(X88)
          | c0_1(X88)
          | c2_1(X88)
          | ~ ndr1_0 )
      | hskp4
      | ! [X89] :
          ( ~ c0_1(X89)
          | c1_1(X89)
          | c3_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X86] :
          ( ~ c0_1(X86)
          | c1_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X56] :
          ( c0_1(X56)
          | ~ c3_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | hskp9
      | ! [X57] :
          ( c2_1(X57)
          | ~ c1_1(X57)
          | c3_1(X57)
          | ~ ndr1_0 ) )
    & ( ( c0_1(a1012)
        & ndr1_0
        & ~ c3_1(a1012)
        & ~ c1_1(a1012) )
      | ~ hskp10 )
    & ( hskp24
      | ! [X32] :
          ( ~ c2_1(X32)
          | ~ c0_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X47] :
          ( ~ c2_1(X47)
          | ~ c1_1(X47)
          | ~ c0_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c2_1(X48)
          | c3_1(X48)
          | ~ c0_1(X48)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ( ndr1_0
        & ~ c3_1(a1008)
        & ~ c1_1(a1008)
        & c2_1(a1008) )
      | ~ hskp7 )
    & ( ! [X5] :
          ( ~ c3_1(X5)
          | c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ c1_1(X4)
          | c0_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | hskp15 )
    & ( hskp8
      | ! [X84] :
          ( ~ c2_1(X84)
          | c0_1(X84)
          | ~ c1_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c2_1(X85)
          | ~ c3_1(X85)
          | c1_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp26
      | ! [X12] :
          ( ~ c0_1(X12)
          | ~ c3_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 ) )
    & ( ! [X62] :
          ( c1_1(X62)
          | ~ c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 )
      | hskp5
      | ! [X63] :
          ( ~ c2_1(X63)
          | ~ c0_1(X63)
          | ~ c1_1(X63)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a1040)
        & c3_1(a1040)
        & ndr1_0
        & c0_1(a1040) )
      | ~ hskp29 )
    & ( hskp3
      | hskp29
      | hskp26 )
    & ( ( ~ c0_1(a1003)
        & ~ c2_1(a1003)
        & ndr1_0
        & c1_1(a1003) )
      | ~ hskp3 )
    & ( ! [X33] :
          ( ~ c3_1(X33)
          | c2_1(X33)
          | ~ c0_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c2_1(X34)
          | c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X52] :
          ( c3_1(X52)
          | c1_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 )
      | hskp8
      | ! [X51] :
          ( c0_1(X51)
          | c2_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X87] :
          ( c3_1(X87)
          | ~ c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X103] :
          ( c0_1(X103)
          | ~ c1_1(X103)
          | c3_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c2_1(X104)
          | ~ c0_1(X104)
          | c3_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( c1_1(X105)
          | ~ c0_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( ~ c0_1(X69)
          | c1_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c1_1(X68)
          | ~ c0_1(X68)
          | c2_1(X68)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c1_1(X70)
          | ~ c3_1(X70)
          | ~ c2_1(X70)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( ~ c2_1(X45)
          | c0_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c2_1(X44)
          | c3_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ( ndr1_0
        & ~ c1_1(a1037)
        & ~ c3_1(a1037)
        & ~ c0_1(a1037) )
      | ~ hskp19 )
    & ( ! [X17] :
          ( c1_1(X17)
          | ~ c2_1(X17)
          | c0_1(X17)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c2_1(X15)
          | ~ c1_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c1_1(X16)
          | ~ c0_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( c3_1(X9)
          | c0_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c2_1(X10)
          | c3_1(X10)
          | ~ c0_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c2_1(X11)
          | ~ c0_1(X11)
          | c1_1(X11)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( ~ c0_1(X30)
          | c1_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | hskp10
      | ! [X31] :
          ( ~ c2_1(X31)
          | c3_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c1_1(X1)
          | c2_1(X1)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ( ndr1_0
        & c2_1(a1029)
        & c0_1(a1029)
        & c3_1(a1029) )
      | ~ hskp27 )
    & ( ! [X77] :
          ( c2_1(X77)
          | ~ c0_1(X77)
          | c3_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c0_1(X78)
          | c1_1(X78)
          | c3_1(X78)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X65] :
          ( c1_1(X65)
          | ~ c2_1(X65)
          | c3_1(X65)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c2_1(X67)
          | c3_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c3_1(X66)
          | c2_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( ~ c0_1(X64)
          | ~ c3_1(X64)
          | c2_1(X64)
          | ~ ndr1_0 )
      | hskp3
      | hskp23 )
    & ( ! [X7] :
          ( ~ c2_1(X7)
          | ~ c1_1(X7)
          | c0_1(X7)
          | ~ ndr1_0 )
      | hskp0
      | ! [X6] :
          ( ~ c1_1(X6)
          | c0_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X111] :
          ( c3_1(X111)
          | c1_1(X111)
          | c2_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c1_1(X112)
          | c3_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X42] :
          ( ~ c2_1(X42)
          | ~ c1_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c3_1(X41)
          | c0_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | c1_1(X43)
          | c2_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( c1_1(X102)
          | ~ c3_1(X102)
          | ~ c0_1(X102)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c3_1(X101)
          | c0_1(X101)
          | ~ c2_1(X101)
          | ~ ndr1_0 )
      | hskp11 )
    & ( hskp6
      | ! [X40] :
          ( ~ c0_1(X40)
          | ~ c1_1(X40)
          | c2_1(X40)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c0_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 ) )
    & ( ! [X100] :
          ( c1_1(X100)
          | ~ c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c0_1(X99)
          | c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | hskp4 )
    & ( hskp8
      | ! [X71] :
          ( c0_1(X71)
          | ~ c1_1(X71)
          | c2_1(X71)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X25] :
          ( ~ c2_1(X25)
          | c0_1(X25)
          | ~ c1_1(X25)
          | ~ ndr1_0 )
      | hskp14
      | ! [X26] :
          ( c2_1(X26)
          | ~ c3_1(X26)
          | ~ c0_1(X26)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a1000)
        & c0_1(a1000)
        & ~ c3_1(a1000)
        & ndr1_0 )
      | ~ hskp0 )
    & ( ( ndr1_0
        & c3_1(a1052)
        & ~ c2_1(a1052)
        & ~ c0_1(a1052) )
      | ~ hskp26 )
    & ( ~ hskp8
      | ( c3_1(a1010)
        & ~ c1_1(a1010)
        & ndr1_0
        & c0_1(a1010) ) )
    & ( hskp6
      | ! [X59] :
          ( ~ c2_1(X59)
          | c1_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | ~ c0_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp28
      | ! [X0] :
          ( c2_1(X0)
          | c1_1(X0)
          | ~ c3_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp14
      | hskp6 )
    & ( hskp1
      | hskp0
      | ! [X46] :
          ( c1_1(X46)
          | c2_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( c3_1(X36)
          | c2_1(X36)
          | c0_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c3_1(X37)
          | ~ c2_1(X37)
          | c0_1(X37)
          | ~ ndr1_0 )
      | hskp6 )
    & ( hskp23
      | hskp4
      | ! [X38] :
          ( c3_1(X38)
          | ~ c2_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a1032)
        & c2_1(a1032)
        & ~ c0_1(a1032) ) )
    & ( ( ndr1_0
        & c2_1(a1041)
        & ~ c0_1(a1041)
        & ~ c3_1(a1041) )
      | ~ hskp21 )
    & ( ~ hskp5
      | ( ~ c1_1(a1005)
        & ~ c2_1(a1005)
        & ~ c3_1(a1005)
        & ndr1_0 ) )
    & ( ! [X22] :
          ( ~ c1_1(X22)
          | ~ c2_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c2_1(X23)
          | c1_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c0_1(X24)
          | c2_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( c1_1(X20)
          | ~ c3_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | hskp7
      | ! [X19] :
          ( ~ c1_1(X19)
          | c0_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X93] :
          ( c2_1(X93)
          | ~ c1_1(X93)
          | c3_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c0_1(X94)
          | ~ c3_1(X94)
          | c1_1(X94)
          | ~ ndr1_0 ) )
    & ( ( ~ c3_1(a1004)
        & c1_1(a1004)
        & c2_1(a1004)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ! [X21] :
          ( ~ c1_1(X21)
          | c2_1(X21)
          | ~ c0_1(X21)
          | ~ ndr1_0 )
      | hskp8
      | hskp26 )
    & ( ! [X72] :
          ( ~ c0_1(X72)
          | ~ c2_1(X72)
          | c1_1(X72)
          | ~ ndr1_0 )
      | hskp19
      | ! [X73] :
          ( ~ c0_1(X73)
          | c3_1(X73)
          | c1_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X108] :
          ( c0_1(X108)
          | ~ c3_1(X108)
          | ~ c2_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( ~ c3_1(X109)
          | ~ c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c3_1(X110)
          | ~ c1_1(X110)
          | ~ c2_1(X110)
          | ~ ndr1_0 ) )
    & ( ( ~ c3_1(a1025)
        & ~ c2_1(a1025)
        & c0_1(a1025)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ! [X3] :
          ( c2_1(X3)
          | c3_1(X3)
          | c1_1(X3)
          | ~ ndr1_0 )
      | hskp27
      | ! [X2] :
          ( ~ c0_1(X2)
          | c1_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 ) )
    & ( ( ~ c2_1(a1043)
        & ndr1_0
        & ~ c1_1(a1043)
        & c0_1(a1043) )
      | ~ hskp22 )
    & ( ! [X114] :
          ( c2_1(X114)
          | ~ c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 )
      | hskp10
      | hskp9 )
    & ( ! [X29] :
          ( c1_1(X29)
          | ~ c0_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | hskp23 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( ( ~ c0_1(a1048)
        & ~ c3_1(a1048)
        & c1_1(a1048)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ! [X95] :
          ( ndr1_0
         => ( ~ c0_1(X95)
            | ~ c1_1(X95)
            | c2_1(X95) ) )
      | hskp6
      | hskp13 )
    & ( ! [X28] :
          ( ndr1_0
         => ( ~ c1_1(X28)
            | c3_1(X28)
            | c2_1(X28) ) )
      | hskp16
      | ! [X27] :
          ( ndr1_0
         => ( c2_1(X27)
            | c3_1(X27)
            | c1_1(X27) ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c2_1(a1019)
        & ~ c0_1(a1019)
        & c1_1(a1019) ) )
    & ( ! [X81] :
          ( ndr1_0
         => ( c0_1(X81)
            | ~ c3_1(X81)
            | c2_1(X81) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c2_1(X83)
            | c0_1(X83)
            | c1_1(X83) ) )
      | ! [X82] :
          ( ndr1_0
         => ( c0_1(X82)
            | c1_1(X82)
            | c2_1(X82) ) ) )
    & ( ! [X115] :
          ( ndr1_0
         => ( c1_1(X115)
            | ~ c3_1(X115)
            | c2_1(X115) ) )
      | hskp18
      | hskp10 )
    & ( ~ hskp1
      | ( c3_1(a1001)
        & ~ c1_1(a1001)
        & ndr1_0
        & c2_1(a1001) ) )
    & ( ( ndr1_0
        & c1_1(a1044)
        & ~ c3_1(a1044)
        & c0_1(a1044) )
      | ~ hskp23 )
    & ( ! [X13] :
          ( ndr1_0
         => ( ~ c1_1(X13)
            | c0_1(X13)
            | ~ c3_1(X13) ) )
      | hskp11
      | ! [X14] :
          ( ndr1_0
         => ( ~ c1_1(X14)
            | c0_1(X14)
            | c3_1(X14) ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ c0_1(a1026)
        & c2_1(a1026)
        & ~ c1_1(a1026) ) )
    & ( hskp19
      | ! [X8] :
          ( ndr1_0
         => ( ~ c1_1(X8)
            | ~ c0_1(X8)
            | c3_1(X8) ) )
      | hskp4 )
    & ( hskp13
      | ! [X79] :
          ( ndr1_0
         => ( ~ c0_1(X79)
            | c3_1(X79)
            | c1_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( c3_1(X80)
            | c2_1(X80)
            | c1_1(X80) ) ) )
    & ( hskp1
      | ! [X76] :
          ( ndr1_0
         => ( c0_1(X76)
            | c3_1(X76)
            | ~ c2_1(X76) ) )
      | hskp2 )
    & ( ! [X97] :
          ( ndr1_0
         => ( c3_1(X97)
            | ~ c0_1(X97)
            | ~ c2_1(X97) ) )
      | hskp15
      | ! [X98] :
          ( ndr1_0
         => ( c2_1(X98)
            | ~ c1_1(X98)
            | c3_1(X98) ) ) )
    & ( hskp7
      | ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | c3_1(X49)
            | c1_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c3_1(X50)
            | c0_1(X50)
            | ~ c1_1(X50) ) ) )
    & ( hskp13
      | hskp23
      | hskp29 )
    & ( hskp12
      | ! [X35] :
          ( ndr1_0
         => ( ~ c1_1(X35)
            | ~ c2_1(X35)
            | ~ c0_1(X35) ) )
      | hskp9 )
    & ( ~ hskp28
      | ( c2_1(a1033)
        & ndr1_0
        & c0_1(a1033)
        & c1_1(a1033) ) )
    & ( ~ hskp18
      | ( c3_1(a1036)
        & ndr1_0
        & c1_1(a1036)
        & ~ c2_1(a1036) ) )
    & ( ~ hskp20
      | ( ~ c2_1(a1038)
        & ~ c1_1(a1038)
        & ndr1_0
        & ~ c0_1(a1038) ) )
    & ( hskp18
      | hskp23
      | hskp20 )
    & ( hskp12
      | hskp5
      | hskp29 )
    & ( hskp25
      | hskp19
      | hskp24 )
    & ( ! [X90] :
          ( ndr1_0
         => ( c3_1(X90)
            | c1_1(X90)
            | c2_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( c3_1(X91)
            | c2_1(X91)
            | c0_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( c3_1(X92)
            | ~ c1_1(X92)
            | c0_1(X92) ) ) )
    & ( ~ hskp6
      | ( c3_1(a1006)
        & c0_1(a1006)
        & ndr1_0
        & ~ c2_1(a1006) ) )
    & ( ( c0_1(a1002)
        & ndr1_0
        & c2_1(a1002)
        & ~ c1_1(a1002) )
      | ~ hskp2 )
    & ( hskp14
      | hskp22
      | hskp12 )
    & ( ! [X96] :
          ( ndr1_0
         => ( ~ c2_1(X96)
            | ~ c0_1(X96)
            | ~ c1_1(X96) ) )
      | hskp7 )
    & ( ( c1_1(a1045)
        & ndr1_0
        & c3_1(a1045)
        & ~ c0_1(a1045) )
      | ~ hskp24 )
    & ( hskp7
      | hskp26
      | hskp27 )
    & ( ( ~ c1_1(a1023)
        & ndr1_0
        & ~ c2_1(a1023)
        & c3_1(a1023) )
      | ~ hskp13 )
    & ( ! [X75] :
          ( ndr1_0
         => ( ~ c2_1(X75)
            | c0_1(X75)
            | ~ c1_1(X75) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | c2_1(X74)
            | ~ c3_1(X74) ) )
      | hskp13 )
    & ( ! [X55] :
          ( ndr1_0
         => ( ~ c2_1(X55)
            | c1_1(X55)
            | c3_1(X55) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | c0_1(X54)
            | c1_1(X54) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c2_1(X53)
            | c0_1(X53)
            | ~ c3_1(X53) ) ) )
    & ( hskp29
      | ! [X18] :
          ( ndr1_0
         => ( c3_1(X18)
            | c1_1(X18)
            | ~ c0_1(X18) ) )
      | hskp21 )
    & ( ! [X107] :
          ( ndr1_0
         => ( ~ c3_1(X107)
            | ~ c0_1(X107)
            | ~ c2_1(X107) ) )
      | ! [X106] :
          ( ndr1_0
         => ( c0_1(X106)
            | c3_1(X106)
            | ~ c1_1(X106) ) )
      | hskp6 )
    & ( hskp4
      | hskp7
      | hskp21 )
    & ( ( ~ c1_1(a1015)
        & ndr1_0
        & c3_1(a1015)
        & ~ c0_1(a1015) )
      | ~ hskp11 )
    & ( ( ~ c2_1(a1011)
        & ndr1_0
        & c1_1(a1011)
        & c0_1(a1011) )
      | ~ hskp9 )
    & ( hskp3
      | ! [X113] :
          ( ndr1_0
         => ( c3_1(X113)
            | c2_1(X113)
            | ~ c0_1(X113) ) )
      | hskp25 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c2_1(X61)
            | c1_1(X61)
            | c3_1(X61) ) )
      | hskp17
      | ! [X60] :
          ( ndr1_0
         => ( c3_1(X60)
            | ~ c0_1(X60)
            | ~ c1_1(X60) ) ) )
    & ( ( c1_1(a1030)
        & ~ c3_1(a1030)
        & ndr1_0
        & ~ c2_1(a1030) )
      | ~ hskp16 )
    & ( ! [X88] :
          ( ndr1_0
         => ( ~ c1_1(X88)
            | c0_1(X88)
            | c2_1(X88) ) )
      | hskp4
      | ! [X89] :
          ( ndr1_0
         => ( ~ c0_1(X89)
            | c1_1(X89)
            | c3_1(X89) ) ) )
    & ( hskp24
      | ! [X86] :
          ( ndr1_0
         => ( ~ c0_1(X86)
            | c1_1(X86)
            | ~ c3_1(X86) ) )
      | hskp15 )
    & ( ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | ~ c3_1(X56)
            | ~ c2_1(X56) ) )
      | hskp9
      | ! [X57] :
          ( ndr1_0
         => ( c2_1(X57)
            | ~ c1_1(X57)
            | c3_1(X57) ) ) )
    & ( ( c0_1(a1012)
        & ndr1_0
        & ~ c3_1(a1012)
        & ~ c1_1(a1012) )
      | ~ hskp10 )
    & ( hskp24
      | ! [X32] :
          ( ndr1_0
         => ( ~ c2_1(X32)
            | ~ c0_1(X32)
            | ~ c3_1(X32) ) )
      | hskp3 )
    & ( ! [X47] :
          ( ndr1_0
         => ( ~ c2_1(X47)
            | ~ c1_1(X47)
            | ~ c0_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | c3_1(X48)
            | ~ c0_1(X48) ) )
      | hskp17 )
    & ( ( ndr1_0
        & ~ c3_1(a1008)
        & ~ c1_1(a1008)
        & c2_1(a1008) )
      | ~ hskp7 )
    & ( ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | c1_1(X5)
            | ~ c0_1(X5) ) )
      | ! [X4] :
          ( ndr1_0
         => ( ~ c1_1(X4)
            | c0_1(X4)
            | ~ c3_1(X4) ) )
      | hskp15 )
    & ( hskp8
      | ! [X84] :
          ( ndr1_0
         => ( ~ c2_1(X84)
            | c0_1(X84)
            | ~ c1_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c2_1(X85)
            | ~ c3_1(X85)
            | c1_1(X85) ) ) )
    & ( hskp19
      | hskp26
      | ! [X12] :
          ( ndr1_0
         => ( ~ c0_1(X12)
            | ~ c3_1(X12)
            | ~ c2_1(X12) ) ) )
    & ( ! [X62] :
          ( ndr1_0
         => ( c1_1(X62)
            | ~ c3_1(X62)
            | c0_1(X62) ) )
      | hskp5
      | ! [X63] :
          ( ndr1_0
         => ( ~ c2_1(X63)
            | ~ c0_1(X63)
            | ~ c1_1(X63) ) ) )
    & ( ( c1_1(a1040)
        & c3_1(a1040)
        & ndr1_0
        & c0_1(a1040) )
      | ~ hskp29 )
    & ( hskp3
      | hskp29
      | hskp26 )
    & ( ( ~ c0_1(a1003)
        & ~ c2_1(a1003)
        & ndr1_0
        & c1_1(a1003) )
      | ~ hskp3 )
    & ( ! [X33] :
          ( ndr1_0
         => ( ~ c3_1(X33)
            | c2_1(X33)
            | ~ c0_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c2_1(X34)
            | c3_1(X34)
            | c1_1(X34) ) )
      | hskp12 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c3_1(X52)
            | c1_1(X52)
            | ~ c2_1(X52) ) )
      | hskp8
      | ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | c2_1(X51)
            | ~ c1_1(X51) ) ) )
    & ( hskp6
      | ! [X87] :
          ( ndr1_0
         => ( c3_1(X87)
            | ~ c1_1(X87)
            | c0_1(X87) ) )
      | hskp12 )
    & ( ! [X103] :
          ( ndr1_0
         => ( c0_1(X103)
            | ~ c1_1(X103)
            | c3_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( ~ c2_1(X104)
            | ~ c0_1(X104)
            | c3_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( c1_1(X105)
            | ~ c0_1(X105)
            | ~ c3_1(X105) ) ) )
    & ( ! [X69] :
          ( ndr1_0
         => ( ~ c0_1(X69)
            | c1_1(X69)
            | ~ c3_1(X69) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c1_1(X68)
            | ~ c0_1(X68)
            | c2_1(X68) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c1_1(X70)
            | ~ c3_1(X70)
            | ~ c2_1(X70) ) ) )
    & ( ! [X45] :
          ( ndr1_0
         => ( ~ c2_1(X45)
            | c0_1(X45)
            | c1_1(X45) ) )
      | ! [X44] :
          ( ndr1_0
         => ( c2_1(X44)
            | c3_1(X44)
            | ~ c1_1(X44) ) )
      | hskp3 )
    & ( ( ndr1_0
        & ~ c1_1(a1037)
        & ~ c3_1(a1037)
        & ~ c0_1(a1037) )
      | ~ hskp19 )
    & ( ! [X17] :
          ( ndr1_0
         => ( c1_1(X17)
            | ~ c2_1(X17)
            | c0_1(X17) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c2_1(X15)
            | ~ c1_1(X15)
            | ~ c0_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c1_1(X16)
            | ~ c0_1(X16)
            | ~ c2_1(X16) ) ) )
    & ( ! [X9] :
          ( ndr1_0
         => ( c3_1(X9)
            | c0_1(X9)
            | ~ c2_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c2_1(X10)
            | c3_1(X10)
            | ~ c0_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c2_1(X11)
            | ~ c0_1(X11)
            | c1_1(X11) ) ) )
    & ( ! [X30] :
          ( ndr1_0
         => ( ~ c0_1(X30)
            | c1_1(X30)
            | c3_1(X30) ) )
      | hskp10
      | ! [X31] :
          ( ndr1_0
         => ( ~ c2_1(X31)
            | c3_1(X31)
            | ~ c1_1(X31) ) ) )
    & ( hskp6
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c1_1(X1)
            | c2_1(X1) ) )
      | hskp22 )
    & ( ( ndr1_0
        & c2_1(a1029)
        & c0_1(a1029)
        & c3_1(a1029) )
      | ~ hskp27 )
    & ( ! [X77] :
          ( ndr1_0
         => ( c2_1(X77)
            | ~ c0_1(X77)
            | c3_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c0_1(X78)
            | c1_1(X78)
            | c3_1(X78) ) )
      | hskp20 )
    & ( ! [X65] :
          ( ndr1_0
         => ( c1_1(X65)
            | ~ c2_1(X65)
            | c3_1(X65) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c2_1(X67)
            | c3_1(X67)
            | ~ c0_1(X67) ) )
      | ! [X66] :
          ( ndr1_0
         => ( c3_1(X66)
            | c2_1(X66)
            | c0_1(X66) ) ) )
    & ( ! [X64] :
          ( ndr1_0
         => ( ~ c0_1(X64)
            | ~ c3_1(X64)
            | c2_1(X64) ) )
      | hskp3
      | hskp23 )
    & ( ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c1_1(X7)
            | c0_1(X7) ) )
      | hskp0
      | ! [X6] :
          ( ndr1_0
         => ( ~ c1_1(X6)
            | c0_1(X6)
            | c2_1(X6) ) ) )
    & ( ! [X111] :
          ( ndr1_0
         => ( c3_1(X111)
            | c1_1(X111)
            | c2_1(X111) ) )
      | ! [X112] :
          ( ndr1_0
         => ( c1_1(X112)
            | c3_1(X112)
            | c0_1(X112) ) )
      | hskp2 )
    & ( ! [X42] :
          ( ndr1_0
         => ( ~ c2_1(X42)
            | ~ c1_1(X42)
            | ~ c3_1(X42) ) )
      | ! [X41] :
          ( ndr1_0
         => ( c3_1(X41)
            | c0_1(X41)
            | ~ c1_1(X41) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | c1_1(X43)
            | c2_1(X43) ) ) )
    & ( ! [X102] :
          ( ndr1_0
         => ( c1_1(X102)
            | ~ c3_1(X102)
            | ~ c0_1(X102) ) )
      | ! [X101] :
          ( ndr1_0
         => ( c3_1(X101)
            | c0_1(X101)
            | ~ c2_1(X101) ) )
      | hskp11 )
    & ( hskp6
      | ! [X40] :
          ( ndr1_0
         => ( ~ c0_1(X40)
            | ~ c1_1(X40)
            | c2_1(X40) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | ~ c0_1(X39)
            | ~ c2_1(X39) ) ) )
    & ( ! [X100] :
          ( ndr1_0
         => ( c1_1(X100)
            | ~ c2_1(X100)
            | c0_1(X100) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c0_1(X99)
            | c2_1(X99)
            | ~ c3_1(X99) ) )
      | hskp4 )
    & ( hskp8
      | ! [X71] :
          ( ndr1_0
         => ( c0_1(X71)
            | ~ c1_1(X71)
            | c2_1(X71) ) )
      | hskp7 )
    & ( ! [X25] :
          ( ndr1_0
         => ( ~ c2_1(X25)
            | c0_1(X25)
            | ~ c1_1(X25) ) )
      | hskp14
      | ! [X26] :
          ( ndr1_0
         => ( c2_1(X26)
            | ~ c3_1(X26)
            | ~ c0_1(X26) ) ) )
    & ( ( c2_1(a1000)
        & c0_1(a1000)
        & ~ c3_1(a1000)
        & ndr1_0 )
      | ~ hskp0 )
    & ( ( ndr1_0
        & c3_1(a1052)
        & ~ c2_1(a1052)
        & ~ c0_1(a1052) )
      | ~ hskp26 )
    & ( ~ hskp8
      | ( c3_1(a1010)
        & ~ c1_1(a1010)
        & ndr1_0
        & c0_1(a1010) ) )
    & ( hskp6
      | ! [X59] :
          ( ndr1_0
         => ( ~ c2_1(X59)
            | c1_1(X59)
            | ~ c3_1(X59) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c1_1(X58)
            | ~ c0_1(X58)
            | ~ c2_1(X58) ) ) )
    & ( hskp8
      | hskp28
      | ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | c1_1(X0)
            | ~ c3_1(X0) ) ) )
    & ( hskp27
      | hskp14
      | hskp6 )
    & ( hskp1
      | hskp0
      | ! [X46] :
          ( ndr1_0
         => ( c1_1(X46)
            | c2_1(X46)
            | c0_1(X46) ) ) )
    & ( ! [X36] :
          ( ndr1_0
         => ( c3_1(X36)
            | c2_1(X36)
            | c0_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | ~ c2_1(X37)
            | c0_1(X37) ) )
      | hskp6 )
    & ( hskp23
      | hskp4
      | ! [X38] :
          ( ndr1_0
         => ( c3_1(X38)
            | ~ c2_1(X38)
            | ~ c1_1(X38) ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a1032)
        & c2_1(a1032)
        & ~ c0_1(a1032) ) )
    & ( ( ndr1_0
        & c2_1(a1041)
        & ~ c0_1(a1041)
        & ~ c3_1(a1041) )
      | ~ hskp21 )
    & ( ~ hskp5
      | ( ~ c1_1(a1005)
        & ~ c2_1(a1005)
        & ~ c3_1(a1005)
        & ndr1_0 ) )
    & ( ! [X22] :
          ( ndr1_0
         => ( ~ c1_1(X22)
            | ~ c2_1(X22)
            | c3_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c2_1(X23)
            | c1_1(X23)
            | ~ c3_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c0_1(X24)
            | c2_1(X24)
            | ~ c3_1(X24) ) ) )
    & ( ! [X20] :
          ( ndr1_0
         => ( c1_1(X20)
            | ~ c3_1(X20)
            | c2_1(X20) ) )
      | hskp7
      | ! [X19] :
          ( ndr1_0
         => ( ~ c1_1(X19)
            | c0_1(X19)
            | c2_1(X19) ) ) )
    & ( hskp22
      | ! [X93] :
          ( ndr1_0
         => ( c2_1(X93)
            | ~ c1_1(X93)
            | c3_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( ~ c0_1(X94)
            | ~ c3_1(X94)
            | c1_1(X94) ) ) )
    & ( ( ~ c3_1(a1004)
        & c1_1(a1004)
        & c2_1(a1004)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ! [X21] :
          ( ndr1_0
         => ( ~ c1_1(X21)
            | c2_1(X21)
            | ~ c0_1(X21) ) )
      | hskp8
      | hskp26 )
    & ( ! [X72] :
          ( ndr1_0
         => ( ~ c0_1(X72)
            | ~ c2_1(X72)
            | c1_1(X72) ) )
      | hskp19
      | ! [X73] :
          ( ndr1_0
         => ( ~ c0_1(X73)
            | c3_1(X73)
            | c1_1(X73) ) ) )
    & ( ! [X108] :
          ( ndr1_0
         => ( c0_1(X108)
            | ~ c3_1(X108)
            | ~ c2_1(X108) ) )
      | ! [X109] :
          ( ndr1_0
         => ( ~ c3_1(X109)
            | ~ c1_1(X109)
            | c0_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( ~ c3_1(X110)
            | ~ c1_1(X110)
            | ~ c2_1(X110) ) ) )
    & ( ( ~ c3_1(a1025)
        & ~ c2_1(a1025)
        & c0_1(a1025)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ! [X3] :
          ( ndr1_0
         => ( c2_1(X3)
            | c3_1(X3)
            | c1_1(X3) ) )
      | hskp27
      | ! [X2] :
          ( ndr1_0
         => ( ~ c0_1(X2)
            | c1_1(X2)
            | ~ c2_1(X2) ) ) )
    & ( ( ~ c2_1(a1043)
        & ndr1_0
        & ~ c1_1(a1043)
        & c0_1(a1043) )
      | ~ hskp22 )
    & ( ! [X114] :
          ( ndr1_0
         => ( c2_1(X114)
            | ~ c1_1(X114)
            | c0_1(X114) ) )
      | hskp10
      | hskp9 )
    & ( ! [X29] :
          ( ndr1_0
         => ( c1_1(X29)
            | ~ c0_1(X29)
            | ~ c3_1(X29) ) )
      | hskp23 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( ( ~ c0_1(a1048)
            & ~ c3_1(a1048)
            & c1_1(a1048)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c0_1(X95)
                | ~ c1_1(X95)
                | c2_1(X95) ) )
          | hskp6
          | hskp13 )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c3_1(X28)
                | c2_1(X28) ) )
          | hskp16
          | ! [X27] :
              ( ndr1_0
             => ( c2_1(X27)
                | c3_1(X27)
                | c1_1(X27) ) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c2_1(a1019)
            & ~ c0_1(a1019)
            & c1_1(a1019) ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( c0_1(X81)
                | ~ c3_1(X81)
                | c2_1(X81) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c2_1(X83)
                | c0_1(X83)
                | c1_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c0_1(X82)
                | c1_1(X82)
                | c2_1(X82) ) ) )
        & ( ! [X115] :
              ( ndr1_0
             => ( c1_1(X115)
                | ~ c3_1(X115)
                | c2_1(X115) ) )
          | hskp18
          | hskp10 )
        & ( ~ hskp1
          | ( c3_1(a1001)
            & ~ c1_1(a1001)
            & ndr1_0
            & c2_1(a1001) ) )
        & ( ( ndr1_0
            & c1_1(a1044)
            & ~ c3_1(a1044)
            & c0_1(a1044) )
          | ~ hskp23 )
        & ( ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | c0_1(X13)
                | ~ c3_1(X13) ) )
          | hskp11
          | ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | c0_1(X14)
                | c3_1(X14) ) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & ~ c0_1(a1026)
            & c2_1(a1026)
            & ~ c1_1(a1026) ) )
        & ( hskp19
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | ~ c0_1(X8)
                | c3_1(X8) ) )
          | hskp4 )
        & ( hskp13
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c3_1(X79)
                | c1_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c3_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp1
          | ! [X76] :
              ( ndr1_0
             => ( c0_1(X76)
                | c3_1(X76)
                | ~ c2_1(X76) ) )
          | hskp2 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c3_1(X97)
                | ~ c0_1(X97)
                | ~ c2_1(X97) ) )
          | hskp15
          | ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | ~ c1_1(X98)
                | c3_1(X98) ) ) )
        & ( hskp7
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | c3_1(X49)
                | c1_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c3_1(X50)
                | c0_1(X50)
                | ~ c1_1(X50) ) ) )
        & ( hskp13
          | hskp23
          | hskp29 )
        & ( hskp12
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | ~ c2_1(X35)
                | ~ c0_1(X35) ) )
          | hskp9 )
        & ( ~ hskp28
          | ( c2_1(a1033)
            & ndr1_0
            & c0_1(a1033)
            & c1_1(a1033) ) )
        & ( ~ hskp18
          | ( c3_1(a1036)
            & ndr1_0
            & c1_1(a1036)
            & ~ c2_1(a1036) ) )
        & ( ~ hskp20
          | ( ~ c2_1(a1038)
            & ~ c1_1(a1038)
            & ndr1_0
            & ~ c0_1(a1038) ) )
        & ( hskp18
          | hskp23
          | hskp20 )
        & ( hskp12
          | hskp5
          | hskp29 )
        & ( hskp25
          | hskp19
          | hskp24 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c3_1(X90)
                | c1_1(X90)
                | c2_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c3_1(X91)
                | c2_1(X91)
                | c0_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( c3_1(X92)
                | ~ c1_1(X92)
                | c0_1(X92) ) ) )
        & ( ~ hskp6
          | ( c3_1(a1006)
            & c0_1(a1006)
            & ndr1_0
            & ~ c2_1(a1006) ) )
        & ( ( c0_1(a1002)
            & ndr1_0
            & c2_1(a1002)
            & ~ c1_1(a1002) )
          | ~ hskp2 )
        & ( hskp14
          | hskp22
          | hskp12 )
        & ( ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | ~ c0_1(X96)
                | ~ c1_1(X96) ) )
          | hskp7 )
        & ( ( c1_1(a1045)
            & ndr1_0
            & c3_1(a1045)
            & ~ c0_1(a1045) )
          | ~ hskp24 )
        & ( hskp7
          | hskp26
          | hskp27 )
        & ( ( ~ c1_1(a1023)
            & ndr1_0
            & ~ c2_1(a1023)
            & c3_1(a1023) )
          | ~ hskp13 )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | c0_1(X75)
                | ~ c1_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c2_1(X74)
                | ~ c3_1(X74) ) )
          | hskp13 )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | c1_1(X55)
                | c3_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | c0_1(X54)
                | c1_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c2_1(X53)
                | c0_1(X53)
                | ~ c3_1(X53) ) ) )
        & ( hskp29
          | ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | c1_1(X18)
                | ~ c0_1(X18) ) )
          | hskp21 )
        & ( ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c0_1(X107)
                | ~ c2_1(X107) ) )
          | ! [X106] :
              ( ndr1_0
             => ( c0_1(X106)
                | c3_1(X106)
                | ~ c1_1(X106) ) )
          | hskp6 )
        & ( hskp4
          | hskp7
          | hskp21 )
        & ( ( ~ c1_1(a1015)
            & ndr1_0
            & c3_1(a1015)
            & ~ c0_1(a1015) )
          | ~ hskp11 )
        & ( ( ~ c2_1(a1011)
            & ndr1_0
            & c1_1(a1011)
            & c0_1(a1011) )
          | ~ hskp9 )
        & ( hskp3
          | ! [X113] :
              ( ndr1_0
             => ( c3_1(X113)
                | c2_1(X113)
                | ~ c0_1(X113) ) )
          | hskp25 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c2_1(X61)
                | c1_1(X61)
                | c3_1(X61) ) )
          | hskp17
          | ! [X60] :
              ( ndr1_0
             => ( c3_1(X60)
                | ~ c0_1(X60)
                | ~ c1_1(X60) ) ) )
        & ( ( c1_1(a1030)
            & ~ c3_1(a1030)
            & ndr1_0
            & ~ c2_1(a1030) )
          | ~ hskp16 )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | c0_1(X88)
                | c2_1(X88) ) )
          | hskp4
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c1_1(X89)
                | c3_1(X89) ) ) )
        & ( hskp24
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | c1_1(X86)
                | ~ c3_1(X86) ) )
          | hskp15 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c3_1(X56)
                | ~ c2_1(X56) ) )
          | hskp9
          | ! [X57] :
              ( ndr1_0
             => ( c2_1(X57)
                | ~ c1_1(X57)
                | c3_1(X57) ) ) )
        & ( ( c0_1(a1012)
            & ndr1_0
            & ~ c3_1(a1012)
            & ~ c1_1(a1012) )
          | ~ hskp10 )
        & ( hskp24
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | ~ c0_1(X32)
                | ~ c3_1(X32) ) )
          | hskp3 )
        & ( ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | ~ c1_1(X47)
                | ~ c0_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c3_1(X48)
                | ~ c0_1(X48) ) )
          | hskp17 )
        & ( ( ndr1_0
            & ~ c3_1(a1008)
            & ~ c1_1(a1008)
            & c2_1(a1008) )
          | ~ hskp7 )
        & ( ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | c1_1(X5)
                | ~ c0_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c1_1(X4)
                | c0_1(X4)
                | ~ c3_1(X4) ) )
          | hskp15 )
        & ( hskp8
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | c0_1(X84)
                | ~ c1_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | ~ c3_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp19
          | hskp26
          | ! [X12] :
              ( ndr1_0
             => ( ~ c0_1(X12)
                | ~ c3_1(X12)
                | ~ c2_1(X12) ) ) )
        & ( ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | ~ c3_1(X62)
                | c0_1(X62) ) )
          | hskp5
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | ~ c0_1(X63)
                | ~ c1_1(X63) ) ) )
        & ( ( c1_1(a1040)
            & c3_1(a1040)
            & ndr1_0
            & c0_1(a1040) )
          | ~ hskp29 )
        & ( hskp3
          | hskp29
          | hskp26 )
        & ( ( ~ c0_1(a1003)
            & ~ c2_1(a1003)
            & ndr1_0
            & c1_1(a1003) )
          | ~ hskp3 )
        & ( ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c2_1(X33)
                | ~ c0_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c2_1(X34)
                | c3_1(X34)
                | c1_1(X34) ) )
          | hskp12 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | c1_1(X52)
                | ~ c2_1(X52) ) )
          | hskp8
          | ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | c2_1(X51)
                | ~ c1_1(X51) ) ) )
        & ( hskp6
          | ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | ~ c1_1(X87)
                | c0_1(X87) ) )
          | hskp12 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c0_1(X103)
                | ~ c1_1(X103)
                | c3_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | ~ c0_1(X104)
                | c3_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( c1_1(X105)
                | ~ c0_1(X105)
                | ~ c3_1(X105) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | c1_1(X69)
                | ~ c3_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | ~ c0_1(X68)
                | c2_1(X68) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c1_1(X70)
                | ~ c3_1(X70)
                | ~ c2_1(X70) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | c0_1(X45)
                | c1_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c2_1(X44)
                | c3_1(X44)
                | ~ c1_1(X44) ) )
          | hskp3 )
        & ( ( ndr1_0
            & ~ c1_1(a1037)
            & ~ c3_1(a1037)
            & ~ c0_1(a1037) )
          | ~ hskp19 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c1_1(X17)
                | ~ c2_1(X17)
                | c0_1(X17) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c2_1(X15)
                | ~ c1_1(X15)
                | ~ c0_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c1_1(X16)
                | ~ c0_1(X16)
                | ~ c2_1(X16) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c0_1(X9)
                | ~ c2_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | c3_1(X10)
                | ~ c0_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | ~ c0_1(X11)
                | c1_1(X11) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | c1_1(X30)
                | c3_1(X30) ) )
          | hskp10
          | ! [X31] :
              ( ndr1_0
             => ( ~ c2_1(X31)
                | c3_1(X31)
                | ~ c1_1(X31) ) ) )
        & ( hskp6
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c1_1(X1)
                | c2_1(X1) ) )
          | hskp22 )
        & ( ( ndr1_0
            & c2_1(a1029)
            & c0_1(a1029)
            & c3_1(a1029) )
          | ~ hskp27 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c2_1(X77)
                | ~ c0_1(X77)
                | c3_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c1_1(X78)
                | c3_1(X78) ) )
          | hskp20 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | ~ c2_1(X65)
                | c3_1(X65) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c2_1(X67)
                | c3_1(X67)
                | ~ c0_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c3_1(X66)
                | c2_1(X66)
                | c0_1(X66) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | ~ c3_1(X64)
                | c2_1(X64) ) )
          | hskp3
          | hskp23 )
        & ( ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c1_1(X7)
                | c0_1(X7) ) )
          | hskp0
          | ! [X6] :
              ( ndr1_0
             => ( ~ c1_1(X6)
                | c0_1(X6)
                | c2_1(X6) ) ) )
        & ( ! [X111] :
              ( ndr1_0
             => ( c3_1(X111)
                | c1_1(X111)
                | c2_1(X111) ) )
          | ! [X112] :
              ( ndr1_0
             => ( c1_1(X112)
                | c3_1(X112)
                | c0_1(X112) ) )
          | hskp2 )
        & ( ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c1_1(X42)
                | ~ c3_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | c0_1(X41)
                | ~ c1_1(X41) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c1_1(X43)
                | c2_1(X43) ) ) )
        & ( ! [X102] :
              ( ndr1_0
             => ( c1_1(X102)
                | ~ c3_1(X102)
                | ~ c0_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( c3_1(X101)
                | c0_1(X101)
                | ~ c2_1(X101) ) )
          | hskp11 )
        & ( hskp6
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | ~ c1_1(X40)
                | c2_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c0_1(X39)
                | ~ c2_1(X39) ) ) )
        & ( ! [X100] :
              ( ndr1_0
             => ( c1_1(X100)
                | ~ c2_1(X100)
                | c0_1(X100) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c0_1(X99)
                | c2_1(X99)
                | ~ c3_1(X99) ) )
          | hskp4 )
        & ( hskp8
          | ! [X71] :
              ( ndr1_0
             => ( c0_1(X71)
                | ~ c1_1(X71)
                | c2_1(X71) ) )
          | hskp7 )
        & ( ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | c0_1(X25)
                | ~ c1_1(X25) ) )
          | hskp14
          | ! [X26] :
              ( ndr1_0
             => ( c2_1(X26)
                | ~ c3_1(X26)
                | ~ c0_1(X26) ) ) )
        & ( ( c2_1(a1000)
            & c0_1(a1000)
            & ~ c3_1(a1000)
            & ndr1_0 )
          | ~ hskp0 )
        & ( ( ndr1_0
            & c3_1(a1052)
            & ~ c2_1(a1052)
            & ~ c0_1(a1052) )
          | ~ hskp26 )
        & ( ~ hskp8
          | ( c3_1(a1010)
            & ~ c1_1(a1010)
            & ndr1_0
            & c0_1(a1010) ) )
        & ( hskp6
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | c1_1(X59)
                | ~ c3_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | ~ c0_1(X58)
                | ~ c2_1(X58) ) ) )
        & ( hskp8
          | hskp28
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | ~ c3_1(X0) ) ) )
        & ( hskp27
          | hskp14
          | hskp6 )
        & ( hskp1
          | hskp0
          | ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | c2_1(X46)
                | c0_1(X46) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( c3_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | ~ c2_1(X37)
                | c0_1(X37) ) )
          | hskp6 )
        & ( hskp23
          | hskp4
          | ! [X38] :
              ( ndr1_0
             => ( c3_1(X38)
                | ~ c2_1(X38)
                | ~ c1_1(X38) ) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c3_1(a1032)
            & c2_1(a1032)
            & ~ c0_1(a1032) ) )
        & ( ( ndr1_0
            & c2_1(a1041)
            & ~ c0_1(a1041)
            & ~ c3_1(a1041) )
          | ~ hskp21 )
        & ( ~ hskp5
          | ( ~ c1_1(a1005)
            & ~ c2_1(a1005)
            & ~ c3_1(a1005)
            & ndr1_0 ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c1_1(X22)
                | ~ c2_1(X22)
                | c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | c1_1(X23)
                | ~ c3_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c0_1(X24)
                | c2_1(X24)
                | ~ c3_1(X24) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( c1_1(X20)
                | ~ c3_1(X20)
                | c2_1(X20) ) )
          | hskp7
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c0_1(X19)
                | c2_1(X19) ) ) )
        & ( hskp22
          | ! [X93] :
              ( ndr1_0
             => ( c2_1(X93)
                | ~ c1_1(X93)
                | c3_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c0_1(X94)
                | ~ c3_1(X94)
                | c1_1(X94) ) ) )
        & ( ( ~ c3_1(a1004)
            & c1_1(a1004)
            & c2_1(a1004)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | c2_1(X21)
                | ~ c0_1(X21) ) )
          | hskp8
          | hskp26 )
        & ( ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | ~ c2_1(X72)
                | c1_1(X72) ) )
          | hskp19
          | ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | c3_1(X73)
                | c1_1(X73) ) ) )
        & ( ! [X108] :
              ( ndr1_0
             => ( c0_1(X108)
                | ~ c3_1(X108)
                | ~ c2_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | ~ c1_1(X109)
                | c0_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c1_1(X110)
                | ~ c2_1(X110) ) ) )
        & ( ( ~ c3_1(a1025)
            & ~ c2_1(a1025)
            & c0_1(a1025)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c3_1(X3)
                | c1_1(X3) ) )
          | hskp27
          | ! [X2] :
              ( ndr1_0
             => ( ~ c0_1(X2)
                | c1_1(X2)
                | ~ c2_1(X2) ) ) )
        & ( ( ~ c2_1(a1043)
            & ndr1_0
            & ~ c1_1(a1043)
            & c0_1(a1043) )
          | ~ hskp22 )
        & ( ! [X114] :
              ( ndr1_0
             => ( c2_1(X114)
                | ~ c1_1(X114)
                | c0_1(X114) ) )
          | hskp10
          | hskp9 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c1_1(X29)
                | ~ c0_1(X29)
                | ~ c3_1(X29) ) )
          | hskp23 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c1_1(X78)
                | c2_1(X78) ) )
          | hskp8
          | hskp28 )
        & ( ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c1_1(X107)
                | c2_1(X107) ) )
          | hskp22
          | hskp6 )
        & ( ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c1_1(X71)
                | ~ c2_1(X71) ) )
          | hskp27
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c1_1(X70)
                | c2_1(X70) ) ) )
        & ( ( ndr1_0
            & c2_1(a1029)
            & c0_1(a1029)
            & c3_1(a1029) )
          | ~ hskp27 )
        & ( ~ hskp5
          | ( ~ c1_1(a1005)
            & ~ c2_1(a1005)
            & ~ c3_1(a1005)
            & ndr1_0 ) )
        & ( ( ~ c3_1(a1004)
            & c1_1(a1004)
            & c2_1(a1004)
            & ndr1_0 )
          | ~ hskp4 )
        & ( hskp18
          | hskp23
          | hskp20 )
        & ( ~ hskp12
          | ( ndr1_0
            & c2_1(a1019)
            & ~ c0_1(a1019)
            & c1_1(a1019) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | c0_1(X64)
                | ~ c1_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | ~ c3_1(X65)
                | c1_1(X65) ) )
          | hskp15 )
        & ( ~ hskp28
          | ( c2_1(a1033)
            & ndr1_0
            & c0_1(a1033)
            & c1_1(a1033) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | ~ c2_1(X27)
                | c0_1(X27) ) )
          | hskp0 )
        & ( ! [X108] :
              ( ndr1_0
             => ( c3_1(X108)
                | ~ c0_1(X108)
                | ~ c1_1(X108) ) )
          | hskp4
          | hskp19 )
        & ( ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | c0_1(X49)
                | c3_1(X49) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c0_1(X51)
                | c3_1(X51)
                | c2_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | c1_1(X50)
                | ~ c2_1(X50) ) ) )
        & ( hskp26
          | hskp19
          | ! [X115] :
              ( ndr1_0
             => ( ~ c0_1(X115)
                | ~ c2_1(X115)
                | ~ c3_1(X115) ) ) )
        & ( hskp11
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | ~ c3_1(X37)
                | c0_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c3_1(X36)
                | ~ c1_1(X36) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c0_1(X8)
                | ~ c1_1(X8)
                | c2_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c1_1(X7)
                | ~ c0_1(X7)
                | ~ c2_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | ~ c0_1(X86)
                | c3_1(X86) ) )
          | hskp21
          | hskp29 )
        & ( hskp7
          | ! [X28] :
              ( ndr1_0
             => ( c2_1(X28)
                | ~ c1_1(X28)
                | c0_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c2_1(X29)
                | c1_1(X29)
                | ~ c3_1(X29) ) ) )
        & ( hskp8
          | hskp26
          | ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | ~ c1_1(X104)
                | ~ c0_1(X104) ) ) )
        & ( ! [X98] :
              ( ndr1_0
             => ( c3_1(X98)
                | ~ c1_1(X98)
                | ~ c2_1(X98) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | c1_1(X96)
                | ~ c3_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | ~ c3_1(X97)
                | c2_1(X97) ) ) )
        & ( hskp3
          | hskp29
          | hskp26 )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | c0_1(X59)
                | ~ c1_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c2_1(X60)
                | ~ c3_1(X60)
                | ~ c0_1(X60) ) )
          | hskp14 )
        & ( ( ndr1_0
            & c3_1(a1052)
            & ~ c2_1(a1052)
            & ~ c0_1(a1052) )
          | ~ hskp26 )
        & ( hskp14
          | hskp22
          | hskp12 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c2_1(X72)
                | c3_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | ~ c1_1(X73)
                | c3_1(X73) ) )
          | hskp16 )
        & ( hskp4
          | hskp7
          | hskp21 )
        & ( ! [X94] :
              ( ndr1_0
             => ( ~ c0_1(X94)
                | ~ c3_1(X94)
                | c1_1(X94) ) )
          | hskp23 )
        & ( hskp10
          | ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | ~ c0_1(X84)
                | c1_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | ~ c1_1(X85)
                | ~ c2_1(X85) ) ) )
        & ( hskp24
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c0_1(X114)
                | ~ c2_1(X114) ) )
          | hskp3 )
        & ( ( c1_1(a1045)
            & ndr1_0
            & c3_1(a1045)
            & ~ c0_1(a1045) )
          | ~ hskp24 )
        & ( ( ~ c2_1(a1043)
            & ndr1_0
            & ~ c1_1(a1043)
            & c0_1(a1043) )
          | ~ hskp22 )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c2_1(X75)
                | ~ c0_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c2_1(X74)
                | c3_1(X74) ) )
          | hskp12 )
        & ( ( c0_1(a1002)
            & ndr1_0
            & c2_1(a1002)
            & ~ c1_1(a1002) )
          | ~ hskp2 )
        & ( hskp12
          | ! [X112] :
              ( ndr1_0
             => ( ~ c0_1(X112)
                | ~ c1_1(X112)
                | ~ c2_1(X112) ) )
          | hskp9 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c2_1(X21)
                | c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | c0_1(X22) ) )
          | hskp6 )
        & ( hskp23
          | ! [X111] :
              ( ndr1_0
             => ( c3_1(X111)
                | ~ c1_1(X111)
                | ~ c2_1(X111) ) )
          | hskp4 )
        & ( ( ndr1_0
            & c1_1(a1044)
            & ~ c3_1(a1044)
            & c0_1(a1044) )
          | ~ hskp23 )
        & ( ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | ~ c0_1(X103)
                | ~ c3_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c0_1(X102)
                | ~ c1_1(X102)
                | c2_1(X102) ) )
          | hskp6 )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c0_1(X38)
                | c3_1(X38) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | ~ c3_1(X40)
                | ~ c2_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c1_1(X39)
                | c2_1(X39)
                | ~ c3_1(X39) ) ) )
        & ( hskp13
          | hskp23
          | hskp29 )
        & ( ( ~ c1_1(a1023)
            & ndr1_0
            & ~ c2_1(a1023)
            & c3_1(a1023) )
          | ~ hskp13 )
        & ( hskp3
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | c3_1(X10)
                | ~ c1_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c1_1(X9)
                | ~ c2_1(X9)
                | c0_1(X9) ) ) )
        & ( ~ hskp8
          | ( c3_1(a1010)
            & ~ c1_1(a1010)
            & ndr1_0
            & c0_1(a1010) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c1_1(X3)
                | c2_1(X3)
                | c0_1(X3) ) )
          | hskp1
          | hskp0 )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c0_1(X110)
                | ~ c1_1(X110) ) )
          | hskp17
          | ! [X109] :
              ( ndr1_0
             => ( c3_1(X109)
                | ~ c0_1(X109)
                | ~ c2_1(X109) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | c1_1(X42)
                | c3_1(X42) ) )
          | hskp7
          | ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | ~ c1_1(X41)
                | c3_1(X41) ) ) )
        & ( hskp8
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c3_1(X33)
                | c1_1(X33)
                | ~ c2_1(X33) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | ~ c3_1(X14)
                | c2_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | c1_1(X15)
                | c3_1(X15) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( c0_1(X66)
                | ~ c2_1(X66)
                | ~ c3_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | c2_1(X67)
                | c3_1(X67) ) )
          | hskp9 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | ~ c2_1(X87)
                | ~ c0_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | ~ c2_1(X88)
                | ~ c3_1(X88) ) )
          | hskp6 )
        & ( ( ndr1_0
            & ~ c1_1(a1037)
            & ~ c3_1(a1037)
            & ~ c0_1(a1037) )
          | ~ hskp19 )
        & ( hskp27
          | hskp14
          | hskp6 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | ~ c1_1(X77)
                | ~ c0_1(X77) ) )
          | hskp17
          | ! [X76] :
              ( ndr1_0
             => ( c2_1(X76)
                | c3_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp5
          | ! [X16] :
              ( ndr1_0
             => ( c1_1(X16)
                | ~ c3_1(X16)
                | c0_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | ~ c0_1(X17)
                | ~ c1_1(X17) ) ) )
        & ( ~ hskp20
          | ( ~ c2_1(a1038)
            & ~ c1_1(a1038)
            & ndr1_0
            & ~ c0_1(a1038) ) )
        & ( hskp23
          | hskp3
          | ! [X106] :
              ( ndr1_0
             => ( ~ c0_1(X106)
                | ~ c3_1(X106)
                | c2_1(X106) ) ) )
        & ( hskp12
          | hskp5
          | hskp29 )
        & ( ( ndr1_0
            & c2_1(a1041)
            & ~ c0_1(a1041)
            & ~ c3_1(a1041) )
          | ~ hskp21 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | c1_1(X24)
                | ~ c2_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c2_1(X23)
                | c3_1(X23) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c2_1(X25)
                | c3_1(X25)
                | ~ c0_1(X25) ) ) )
        & ( ( ndr1_0
            & ~ c3_1(a1008)
            & ~ c1_1(a1008)
            & c2_1(a1008) )
          | ~ hskp7 )
        & ( ( ~ c2_1(a1011)
            & ndr1_0
            & c1_1(a1011)
            & c0_1(a1011) )
          | ~ hskp9 )
        & ( ( ~ c1_1(a1015)
            & ndr1_0
            & c3_1(a1015)
            & ~ c0_1(a1015) )
          | ~ hskp11 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | ~ c0_1(X92)
                | ~ c1_1(X92) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | c1_1(X91)
                | ~ c3_1(X91) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c1_1(X93)
                | ~ c2_1(X93) ) ) )
        & ( ( c0_1(a1012)
            & ndr1_0
            & ~ c3_1(a1012)
            & ~ c1_1(a1012) )
          | ~ hskp10 )
        & ( ~ hskp6
          | ( c3_1(a1006)
            & c0_1(a1006)
            & ndr1_0
            & ~ c2_1(a1006) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | ~ c1_1(X35)
                | c2_1(X35) ) )
          | hskp7
          | hskp8 )
        & ( hskp19
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | c1_1(X81)
                | ~ c2_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c3_1(X80)
                | ~ c0_1(X80) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | c2_1(X56)
                | c1_1(X56) ) )
          | hskp13
          | ! [X55] :
              ( ndr1_0
             => ( ~ c1_1(X55)
                | c0_1(X55)
                | ~ c2_1(X55) ) ) )
        & ( hskp2
          | hskp1
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | c0_1(X54)
                | c3_1(X54) ) ) )
        & ( hskp20
          | ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | ~ c0_1(X83)
                | c3_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c3_1(X82)
                | ~ c0_1(X82)
                | c1_1(X82) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | ~ c0_1(X69)
                | c3_1(X69) ) )
          | hskp13
          | ! [X68] :
              ( ndr1_0
             => ( c2_1(X68)
                | c1_1(X68)
                | c3_1(X68) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c2_1(X2)
                | ~ c3_1(X2) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c1_1(X1)
                | ~ c2_1(X1)
                | c0_1(X1) ) ) )
        & ( ~ hskp1
          | ( c3_1(a1001)
            & ~ c1_1(a1001)
            & ndr1_0
            & c2_1(a1001) ) )
        & ( ( c1_1(a1030)
            & ~ c3_1(a1030)
            & ndr1_0
            & ~ c2_1(a1030) )
          | ~ hskp16 )
        & ( hskp25
          | hskp19
          | hskp24 )
        & ( hskp8
          | ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | ~ c2_1(X57)
                | c0_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | c1_1(X58) ) ) )
        & ( hskp24
          | hskp15
          | ! [X95] :
              ( ndr1_0
             => ( c1_1(X95)
                | ~ c3_1(X95)
                | ~ c0_1(X95) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | ~ c1_1(X48)
                | c0_1(X48) ) )
          | hskp12
          | hskp6 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c2_1(X30)
                | ~ c1_1(X30)
                | c0_1(X30) ) )
          | hskp4
          | ! [X31] :
              ( ndr1_0
             => ( c1_1(X31)
                | ~ c0_1(X31)
                | c3_1(X31) ) ) )
        & ( ( ~ c0_1(a1003)
            & ~ c2_1(a1003)
            & ndr1_0
            & c1_1(a1003) )
          | ~ hskp3 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | c1_1(X20)
                | c2_1(X20) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c2_1(X18)
                | c3_1(X18)
                | c0_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c3_1(X19)
                | ~ c1_1(X19) ) ) )
        & ( ( c1_1(a1040)
            & c3_1(a1040)
            & ndr1_0
            & c0_1(a1040) )
          | ~ hskp29 )
        & ( ~ hskp17
          | ( ndr1_0
            & c3_1(a1032)
            & c2_1(a1032)
            & ~ c0_1(a1032) ) )
        & ( ! [X90] :
              ( ndr1_0
             => ( c3_1(X90)
                | c2_1(X90)
                | ~ c1_1(X90) ) )
          | hskp22
          | ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | ~ c3_1(X89)
                | ~ c0_1(X89) ) ) )
        & ( hskp6
          | hskp13
          | ! [X105] :
              ( ndr1_0
             => ( ~ c1_1(X105)
                | c2_1(X105)
                | ~ c0_1(X105) ) ) )
        & ( ! [X113] :
              ( ndr1_0
             => ( ~ c0_1(X113)
                | ~ c2_1(X113)
                | ~ c1_1(X113) ) )
          | hskp7 )
        & ( hskp15
          | ! [X101] :
              ( ndr1_0
             => ( ~ c0_1(X101)
                | c3_1(X101)
                | ~ c2_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | c2_1(X100)
                | ~ c1_1(X100) ) ) )
        & ( hskp7
          | hskp26
          | hskp27 )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | c2_1(X12)
                | ~ c0_1(X12) ) )
          | hskp4
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | c0_1(X11)
                | c1_1(X11) ) ) )
        & ( hskp11
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | c0_1(X52)
                | c3_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c0_1(X53)
                | c1_1(X53)
                | ~ c3_1(X53) ) ) )
        & ( ~ hskp18
          | ( c3_1(a1036)
            & ndr1_0
            & c1_1(a1036)
            & ~ c2_1(a1036) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | c0_1(X43)
                | ~ c1_1(X43) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c0_1(X45)
                | ~ c2_1(X45)
                | c3_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c1_1(X44)
                | ~ c0_1(X44)
                | ~ c3_1(X44) ) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & ~ c0_1(a1026)
            & c2_1(a1026)
            & ~ c1_1(a1026) ) )
        & ( hskp6
          | ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | ~ c1_1(X46)
                | c3_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c0_1(X47)
                | ~ c3_1(X47)
                | ~ c2_1(X47) ) ) )
        & ( ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c3_1(X62)
                | c0_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | ~ c3_1(X61)
                | c0_1(X61) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c1_1(X63)
                | ~ c2_1(X63) ) ) )
        & ( ( ~ c0_1(a1048)
            & ~ c3_1(a1048)
            & c1_1(a1048)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c1_1(X5)
                | c3_1(X5)
                | c2_1(X5) ) )
          | hskp2
          | ! [X4] :
              ( ndr1_0
             => ( c1_1(X4)
                | c3_1(X4)
                | c0_1(X4) ) ) )
        & ( ( ~ c3_1(a1025)
            & ~ c2_1(a1025)
            & c0_1(a1025)
            & ndr1_0 )
          | ~ hskp14 )
        & ( hskp3
          | ! [X99] :
              ( ndr1_0
             => ( c3_1(X99)
                | c2_1(X99)
                | ~ c0_1(X99) ) )
          | hskp25 )
        & ( ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) )
          | hskp10
          | hskp9 )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | c2_1(X79)
                | c1_1(X79) ) )
          | hskp18
          | hskp10 )
        & ( ( c2_1(a1000)
            & c0_1(a1000)
            & ~ c3_1(a1000)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | c1_1(X78)
              | c2_1(X78) ) )
        | hskp8
        | hskp28 )
      & ( ! [X107] :
            ( ndr1_0
           => ( ~ c3_1(X107)
              | ~ c1_1(X107)
              | c2_1(X107) ) )
        | hskp22
        | hskp6 )
      & ( ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | c1_1(X71)
              | ~ c2_1(X71) ) )
        | hskp27
        | ! [X70] :
            ( ndr1_0
           => ( c3_1(X70)
              | c1_1(X70)
              | c2_1(X70) ) ) )
      & ( ( ndr1_0
          & c2_1(a1029)
          & c0_1(a1029)
          & c3_1(a1029) )
        | ~ hskp27 )
      & ( ~ hskp5
        | ( ~ c1_1(a1005)
          & ~ c2_1(a1005)
          & ~ c3_1(a1005)
          & ndr1_0 ) )
      & ( ( ~ c3_1(a1004)
          & c1_1(a1004)
          & c2_1(a1004)
          & ndr1_0 )
        | ~ hskp4 )
      & ( hskp18
        | hskp23
        | hskp20 )
      & ( ~ hskp12
        | ( ndr1_0
          & c2_1(a1019)
          & ~ c0_1(a1019)
          & c1_1(a1019) ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | c0_1(X64)
              | ~ c1_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c0_1(X65)
              | ~ c3_1(X65)
              | c1_1(X65) ) )
        | hskp15 )
      & ( ~ hskp28
        | ( c2_1(a1033)
          & ndr1_0
          & c0_1(a1033)
          & c1_1(a1033) ) )
      & ( ! [X26] :
            ( ndr1_0
           => ( ~ c1_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c1_1(X27)
              | ~ c2_1(X27)
              | c0_1(X27) ) )
        | hskp0 )
      & ( ! [X108] :
            ( ndr1_0
           => ( c3_1(X108)
              | ~ c0_1(X108)
              | ~ c1_1(X108) ) )
        | hskp4
        | hskp19 )
      & ( ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | c0_1(X49)
              | c3_1(X49) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c0_1(X51)
              | c3_1(X51)
              | c2_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c0_1(X50)
              | c1_1(X50)
              | ~ c2_1(X50) ) ) )
      & ( hskp26
        | hskp19
        | ! [X115] :
            ( ndr1_0
           => ( ~ c0_1(X115)
              | ~ c2_1(X115)
              | ~ c3_1(X115) ) ) )
      & ( hskp11
        | ! [X37] :
            ( ndr1_0
           => ( ~ c1_1(X37)
              | ~ c3_1(X37)
              | c0_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c3_1(X36)
              | ~ c1_1(X36) ) ) )
      & ( ! [X8] :
            ( ndr1_0
           => ( ~ c0_1(X8)
              | ~ c1_1(X8)
              | c2_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c1_1(X7)
              | ~ c0_1(X7)
              | ~ c2_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( ~ c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( ! [X86] :
            ( ndr1_0
           => ( c1_1(X86)
              | ~ c0_1(X86)
              | c3_1(X86) ) )
        | hskp21
        | hskp29 )
      & ( hskp7
        | ! [X28] :
            ( ndr1_0
           => ( c2_1(X28)
              | ~ c1_1(X28)
              | c0_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c2_1(X29)
              | c1_1(X29)
              | ~ c3_1(X29) ) ) )
      & ( hskp8
        | hskp26
        | ! [X104] :
            ( ndr1_0
           => ( c2_1(X104)
              | ~ c1_1(X104)
              | ~ c0_1(X104) ) ) )
      & ( ! [X98] :
            ( ndr1_0
           => ( c3_1(X98)
              | ~ c1_1(X98)
              | ~ c2_1(X98) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c2_1(X96)
              | c1_1(X96)
              | ~ c3_1(X96) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c0_1(X97)
              | ~ c3_1(X97)
              | c2_1(X97) ) ) )
      & ( hskp3
        | hskp29
        | hskp26 )
      & ( ! [X59] :
            ( ndr1_0
           => ( ~ c2_1(X59)
              | c0_1(X59)
              | ~ c1_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( c2_1(X60)
              | ~ c3_1(X60)
              | ~ c0_1(X60) ) )
        | hskp14 )
      & ( ( ndr1_0
          & c3_1(a1052)
          & ~ c2_1(a1052)
          & ~ c0_1(a1052) )
        | ~ hskp26 )
      & ( hskp14
        | hskp22
        | hskp12 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | c2_1(X72)
              | c3_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c2_1(X73)
              | ~ c1_1(X73)
              | c3_1(X73) ) )
        | hskp16 )
      & ( hskp4
        | hskp7
        | hskp21 )
      & ( ! [X94] :
            ( ndr1_0
           => ( ~ c0_1(X94)
              | ~ c3_1(X94)
              | c1_1(X94) ) )
        | hskp23 )
      & ( hskp10
        | ! [X84] :
            ( ndr1_0
           => ( c3_1(X84)
              | ~ c0_1(X84)
              | c1_1(X84) ) )
        | ! [X85] :
            ( ndr1_0
           => ( c3_1(X85)
              | ~ c1_1(X85)
              | ~ c2_1(X85) ) ) )
      & ( hskp24
        | ! [X114] :
            ( ndr1_0
           => ( ~ c3_1(X114)
              | ~ c0_1(X114)
              | ~ c2_1(X114) ) )
        | hskp3 )
      & ( ( c1_1(a1045)
          & ndr1_0
          & c3_1(a1045)
          & ~ c0_1(a1045) )
        | ~ hskp24 )
      & ( ( ~ c2_1(a1043)
          & ndr1_0
          & ~ c1_1(a1043)
          & c0_1(a1043) )
        | ~ hskp22 )
      & ( ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | c2_1(X75)
              | ~ c0_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | c2_1(X74)
              | c3_1(X74) ) )
        | hskp12 )
      & ( ( c0_1(a1002)
          & ndr1_0
          & c2_1(a1002)
          & ~ c1_1(a1002) )
        | ~ hskp2 )
      & ( hskp12
        | ! [X112] :
            ( ndr1_0
           => ( ~ c0_1(X112)
              | ~ c1_1(X112)
              | ~ c2_1(X112) ) )
        | hskp9 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c2_1(X21)
              | c3_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | ~ c2_1(X22)
              | c0_1(X22) ) )
        | hskp6 )
      & ( hskp23
        | ! [X111] :
            ( ndr1_0
           => ( c3_1(X111)
              | ~ c1_1(X111)
              | ~ c2_1(X111) ) )
        | hskp4 )
      & ( ( ndr1_0
          & c1_1(a1044)
          & ~ c3_1(a1044)
          & c0_1(a1044) )
        | ~ hskp23 )
      & ( ! [X103] :
            ( ndr1_0
           => ( ~ c2_1(X103)
              | ~ c0_1(X103)
              | ~ c3_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c0_1(X102)
              | ~ c1_1(X102)
              | c2_1(X102) ) )
        | hskp6 )
      & ( ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | c0_1(X38)
              | c3_1(X38) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c1_1(X40)
              | ~ c3_1(X40)
              | ~ c2_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c1_1(X39)
              | c2_1(X39)
              | ~ c3_1(X39) ) ) )
      & ( hskp13
        | hskp23
        | hskp29 )
      & ( ( ~ c1_1(a1023)
          & ndr1_0
          & ~ c2_1(a1023)
          & c3_1(a1023) )
        | ~ hskp13 )
      & ( hskp3
        | ! [X10] :
            ( ndr1_0
           => ( c2_1(X10)
              | c3_1(X10)
              | ~ c1_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c1_1(X9)
              | ~ c2_1(X9)
              | c0_1(X9) ) ) )
      & ( ~ hskp8
        | ( c3_1(a1010)
          & ~ c1_1(a1010)
          & ndr1_0
          & c0_1(a1010) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c1_1(X3)
              | c2_1(X3)
              | c0_1(X3) ) )
        | hskp1
        | hskp0 )
      & ( ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | ~ c0_1(X110)
              | ~ c1_1(X110) ) )
        | hskp17
        | ! [X109] :
            ( ndr1_0
           => ( c3_1(X109)
              | ~ c0_1(X109)
              | ~ c2_1(X109) ) ) )
      & ( ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | c1_1(X42)
              | c3_1(X42) ) )
        | hskp7
        | ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | ~ c1_1(X41)
              | c3_1(X41) ) ) )
      & ( hskp8
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c3_1(X33)
              | c1_1(X33)
              | ~ c2_1(X33) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | ~ c3_1(X14)
              | c2_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c2_1(X15)
              | c1_1(X15)
              | c3_1(X15) ) ) )
      & ( ! [X66] :
            ( ndr1_0
           => ( c0_1(X66)
              | ~ c2_1(X66)
              | ~ c3_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c1_1(X67)
              | c2_1(X67)
              | c3_1(X67) ) )
        | hskp9 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | ~ c2_1(X87)
              | ~ c0_1(X87) ) )
        | ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | ~ c2_1(X88)
              | ~ c3_1(X88) ) )
        | hskp6 )
      & ( ( ndr1_0
          & ~ c1_1(a1037)
          & ~ c3_1(a1037)
          & ~ c0_1(a1037) )
        | ~ hskp19 )
      & ( hskp27
        | hskp14
        | hskp6 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c3_1(X77)
              | ~ c1_1(X77)
              | ~ c0_1(X77) ) )
        | hskp17
        | ! [X76] :
            ( ndr1_0
           => ( c2_1(X76)
              | c3_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp5
        | ! [X16] :
            ( ndr1_0
           => ( c1_1(X16)
              | ~ c3_1(X16)
              | c0_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | ~ c0_1(X17)
              | ~ c1_1(X17) ) ) )
      & ( ~ hskp20
        | ( ~ c2_1(a1038)
          & ~ c1_1(a1038)
          & ndr1_0
          & ~ c0_1(a1038) ) )
      & ( hskp23
        | hskp3
        | ! [X106] :
            ( ndr1_0
           => ( ~ c0_1(X106)
              | ~ c3_1(X106)
              | c2_1(X106) ) ) )
      & ( hskp12
        | hskp5
        | hskp29 )
      & ( ( ndr1_0
          & c2_1(a1041)
          & ~ c0_1(a1041)
          & ~ c3_1(a1041) )
        | ~ hskp21 )
      & ( ! [X24] :
            ( ndr1_0
           => ( c3_1(X24)
              | c1_1(X24)
              | ~ c2_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c2_1(X23)
              | c3_1(X23) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c2_1(X25)
              | c3_1(X25)
              | ~ c0_1(X25) ) ) )
      & ( ( ndr1_0
          & ~ c3_1(a1008)
          & ~ c1_1(a1008)
          & c2_1(a1008) )
        | ~ hskp7 )
      & ( ( ~ c2_1(a1011)
          & ndr1_0
          & c1_1(a1011)
          & c0_1(a1011) )
        | ~ hskp9 )
      & ( ( ~ c1_1(a1015)
          & ndr1_0
          & c3_1(a1015)
          & ~ c0_1(a1015) )
        | ~ hskp11 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c2_1(X92)
              | ~ c0_1(X92)
              | ~ c1_1(X92) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | c1_1(X91)
              | ~ c3_1(X91) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c3_1(X93)
              | ~ c1_1(X93)
              | ~ c2_1(X93) ) ) )
      & ( ( c0_1(a1012)
          & ndr1_0
          & ~ c3_1(a1012)
          & ~ c1_1(a1012) )
        | ~ hskp10 )
      & ( ~ hskp6
        | ( c3_1(a1006)
          & c0_1(a1006)
          & ndr1_0
          & ~ c2_1(a1006) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | ~ c1_1(X35)
              | c2_1(X35) ) )
        | hskp7
        | hskp8 )
      & ( hskp19
        | ! [X81] :
            ( ndr1_0
           => ( ~ c0_1(X81)
              | c1_1(X81)
              | ~ c2_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | c3_1(X80)
              | ~ c0_1(X80) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | c2_1(X56)
              | c1_1(X56) ) )
        | hskp13
        | ! [X55] :
            ( ndr1_0
           => ( ~ c1_1(X55)
              | c0_1(X55)
              | ~ c2_1(X55) ) ) )
      & ( hskp2
        | hskp1
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | c0_1(X54)
              | c3_1(X54) ) ) )
      & ( hskp20
        | ! [X83] :
            ( ndr1_0
           => ( c2_1(X83)
              | ~ c0_1(X83)
              | c3_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( c3_1(X82)
              | ~ c0_1(X82)
              | c1_1(X82) ) ) )
      & ( ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | ~ c0_1(X69)
              | c3_1(X69) ) )
        | hskp13
        | ! [X68] :
            ( ndr1_0
           => ( c2_1(X68)
              | c1_1(X68)
              | c3_1(X68) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c2_1(X2)
              | ~ c3_1(X2) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c1_1(X1)
              | ~ c2_1(X1)
              | c0_1(X1) ) ) )
      & ( ~ hskp1
        | ( c3_1(a1001)
          & ~ c1_1(a1001)
          & ndr1_0
          & c2_1(a1001) ) )
      & ( ( c1_1(a1030)
          & ~ c3_1(a1030)
          & ndr1_0
          & ~ c2_1(a1030) )
        | ~ hskp16 )
      & ( hskp25
        | hskp19
        | hskp24 )
      & ( hskp8
        | ! [X57] :
            ( ndr1_0
           => ( ~ c1_1(X57)
              | ~ c2_1(X57)
              | c0_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c2_1(X58)
              | c1_1(X58) ) ) )
      & ( hskp24
        | hskp15
        | ! [X95] :
            ( ndr1_0
           => ( c1_1(X95)
              | ~ c3_1(X95)
              | ~ c0_1(X95) ) ) )
      & ( ! [X48] :
            ( ndr1_0
           => ( c3_1(X48)
              | ~ c1_1(X48)
              | c0_1(X48) ) )
        | hskp12
        | hskp6 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c2_1(X30)
              | ~ c1_1(X30)
              | c0_1(X30) ) )
        | hskp4
        | ! [X31] :
            ( ndr1_0
           => ( c1_1(X31)
              | ~ c0_1(X31)
              | c3_1(X31) ) ) )
      & ( ( ~ c0_1(a1003)
          & ~ c2_1(a1003)
          & ndr1_0
          & c1_1(a1003) )
        | ~ hskp3 )
      & ( ! [X20] :
            ( ndr1_0
           => ( c3_1(X20)
              | c1_1(X20)
              | c2_1(X20) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c2_1(X18)
              | c3_1(X18)
              | c0_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c3_1(X19)
              | ~ c1_1(X19) ) ) )
      & ( ( c1_1(a1040)
          & c3_1(a1040)
          & ndr1_0
          & c0_1(a1040) )
        | ~ hskp29 )
      & ( ~ hskp17
        | ( ndr1_0
          & c3_1(a1032)
          & c2_1(a1032)
          & ~ c0_1(a1032) ) )
      & ( ! [X90] :
            ( ndr1_0
           => ( c3_1(X90)
              | c2_1(X90)
              | ~ c1_1(X90) ) )
        | hskp22
        | ! [X89] :
            ( ndr1_0
           => ( c1_1(X89)
              | ~ c3_1(X89)
              | ~ c0_1(X89) ) ) )
      & ( hskp6
        | hskp13
        | ! [X105] :
            ( ndr1_0
           => ( ~ c1_1(X105)
              | c2_1(X105)
              | ~ c0_1(X105) ) ) )
      & ( ! [X113] :
            ( ndr1_0
           => ( ~ c0_1(X113)
              | ~ c2_1(X113)
              | ~ c1_1(X113) ) )
        | hskp7 )
      & ( hskp15
        | ! [X101] :
            ( ndr1_0
           => ( ~ c0_1(X101)
              | c3_1(X101)
              | ~ c2_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( c3_1(X100)
              | c2_1(X100)
              | ~ c1_1(X100) ) ) )
      & ( hskp7
        | hskp26
        | hskp27 )
      & ( ! [X12] :
            ( ndr1_0
           => ( ~ c3_1(X12)
              | c2_1(X12)
              | ~ c0_1(X12) ) )
        | hskp4
        | ! [X11] :
            ( ndr1_0
           => ( ~ c2_1(X11)
              | c0_1(X11)
              | c1_1(X11) ) ) )
      & ( hskp11
        | ! [X52] :
            ( ndr1_0
           => ( ~ c2_1(X52)
              | c0_1(X52)
              | c3_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c0_1(X53)
              | c1_1(X53)
              | ~ c3_1(X53) ) ) )
      & ( ~ hskp18
        | ( c3_1(a1036)
          & ndr1_0
          & c1_1(a1036)
          & ~ c2_1(a1036) ) )
      & ( ! [X43] :
            ( ndr1_0
           => ( c3_1(X43)
              | c0_1(X43)
              | ~ c1_1(X43) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c0_1(X45)
              | ~ c2_1(X45)
              | c3_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( c1_1(X44)
              | ~ c0_1(X44)
              | ~ c3_1(X44) ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ~ c0_1(a1026)
          & c2_1(a1026)
          & ~ c1_1(a1026) ) )
      & ( hskp6
        | ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | ~ c1_1(X46)
              | c3_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c0_1(X47)
              | ~ c3_1(X47)
              | ~ c2_1(X47) ) ) )
      & ( ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | ~ c3_1(X62)
              | c0_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c1_1(X61)
              | ~ c3_1(X61)
              | c0_1(X61) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c1_1(X63)
              | ~ c2_1(X63) ) ) )
      & ( ( ~ c0_1(a1048)
          & ~ c3_1(a1048)
          & c1_1(a1048)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ! [X5] :
            ( ndr1_0
           => ( c1_1(X5)
              | c3_1(X5)
              | c2_1(X5) ) )
        | hskp2
        | ! [X4] :
            ( ndr1_0
           => ( c1_1(X4)
              | c3_1(X4)
              | c0_1(X4) ) ) )
      & ( ( ~ c3_1(a1025)
          & ~ c2_1(a1025)
          & c0_1(a1025)
          & ndr1_0 )
        | ~ hskp14 )
      & ( hskp3
        | ! [X99] :
            ( ndr1_0
           => ( c3_1(X99)
              | c2_1(X99)
              | ~ c0_1(X99) ) )
        | hskp25 )
      & ( ! [X34] :
            ( ndr1_0
           => ( ~ c1_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) )
        | hskp10
        | hskp9 )
      & ( ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | c2_1(X79)
              | c1_1(X79) ) )
        | hskp18
        | hskp10 )
      & ( ( c2_1(a1000)
          & c0_1(a1000)
          & ~ c3_1(a1000)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f1003,plain,
    ( spl0_45
    | spl0_26
    | spl0_61 ),
    inference(avatar_split_clause,[],[f188,f499,f349,f431]) ).

fof(f431,plain,
    ( spl0_45
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f349,plain,
    ( spl0_26
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f499,plain,
    ( spl0_61
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f188,plain,
    ( hskp21
    | hskp4
    | hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1000,plain,
    ( spl0_45
    | spl0_20
    | spl0_35
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f201,f250,f387,f322,f431]) ).

fof(f201,plain,
    ! [X34,X35] :
      ( ~ ndr1_0
      | ~ c3_1(X34)
      | c0_1(X35)
      | c2_1(X34)
      | c2_1(X35)
      | c1_1(X34)
      | hskp7
      | ~ c1_1(X35) ),
    inference(duplicate_literal_removal,[],[f153]) ).

fof(f153,plain,
    ! [X34,X35] :
      ( c1_1(X34)
      | ~ c1_1(X35)
      | ~ ndr1_0
      | ~ ndr1_0
      | c0_1(X35)
      | c2_1(X34)
      | hskp7
      | ~ c3_1(X34)
      | c2_1(X35) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f999,plain,
    ( ~ spl0_151
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f148,f470,f996]) ).

fof(f470,plain,
    ( spl0_55
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f148,plain,
    ( ~ hskp20
    | ~ c2_1(a1038) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f994,plain,
    ( ~ spl0_65
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f38,f991,f520]) ).

fof(f520,plain,
    ( spl0_65
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f38,plain,
    ( ~ c1_1(a1043)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f989,plain,
    ( spl0_149
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f115,f288,f986]) ).

fof(f288,plain,
    ( spl0_12
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f115,plain,
    ( ~ hskp3
    | c1_1(a1003) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f984,plain,
    ( ~ spl0_148
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f145,f470,f981]) ).

fof(f145,plain,
    ( ~ hskp20
    | ~ c0_1(a1038) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f979,plain,
    ( ~ spl0_21
    | spl0_147 ),
    inference(avatar_split_clause,[],[f157,f976,f325]) ).

fof(f325,plain,
    ( spl0_21
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f157,plain,
    ( c1_1(a1011)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f974,plain,
    ( spl0_45
    | spl0_34
    | ~ spl0_3
    | spl0_20 ),
    inference(avatar_split_clause,[],[f73,f322,f250,f383,f431]) ).

fof(f73,plain,
    ! [X76] :
      ( ~ c1_1(X76)
      | ~ ndr1_0
      | c0_1(X76)
      | c2_1(X76)
      | hskp8
      | hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f972,plain,
    ( ~ spl0_26
    | spl0_3 ),
    inference(avatar_split_clause,[],[f128,f250,f349]) ).

fof(f128,plain,
    ( ndr1_0
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f965,plain,
    ( ~ spl0_30
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f81,f962,f366]) ).

fof(f366,plain,
    ( spl0_30
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f81,plain,
    ( ~ c3_1(a1044)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f960,plain,
    ( ~ spl0_22
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f14,f957,f331]) ).

fof(f331,plain,
    ( spl0_22
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f14,plain,
    ( ~ c0_1(a1045)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f955,plain,
    ( spl0_46
    | spl0_11
    | ~ spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f194,f345,f250,f283,f436]) ).

fof(f436,plain,
    ( spl0_46
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f283,plain,
    ( spl0_11
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f194,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | hskp6
      | ~ c1_1(X0)
      | hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f954,plain,
    ( ~ spl0_3
    | spl0_75
    | spl0_27
    | spl0_68 ),
    inference(avatar_split_clause,[],[f204,f535,f353,f568,f250]) ).

fof(f568,plain,
    ( spl0_75
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f204,plain,
    ! [X22,X23] :
      ( ~ c1_1(X23)
      | ~ c2_1(X23)
      | c0_1(X23)
      | ~ c3_1(X22)
      | hskp14
      | c2_1(X22)
      | ~ c0_1(X22)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f172]) ).

fof(f172,plain,
    ! [X22,X23] :
      ( ~ c0_1(X22)
      | ~ ndr1_0
      | ~ c2_1(X23)
      | c2_1(X22)
      | ~ c3_1(X22)
      | hskp14
      | ~ ndr1_0
      | ~ c1_1(X23)
      | c0_1(X23) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f946,plain,
    ( ~ spl0_56
    | spl0_142 ),
    inference(avatar_split_clause,[],[f125,f943,f475]) ).

fof(f475,plain,
    ( spl0_56
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f125,plain,
    ( c1_1(a1036)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f941,plain,
    ( ~ spl0_3
    | spl0_30
    | spl0_33 ),
    inference(avatar_split_clause,[],[f70,f379,f366,f250]) ).

fof(f70,plain,
    ! [X80] :
      ( ~ c0_1(X80)
      | c1_1(X80)
      | hskp23
      | ~ ndr1_0
      | ~ c3_1(X80) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f940,plain,
    ( spl0_38
    | ~ spl0_3
    | spl0_20
    | spl0_68 ),
    inference(avatar_split_clause,[],[f206,f535,f322,f250,f400]) ).

fof(f400,plain,
    ( spl0_38
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f206,plain,
    ! [X59,X60] :
      ( c0_1(X60)
      | c2_1(X59)
      | c0_1(X59)
      | ~ c2_1(X60)
      | ~ c1_1(X59)
      | ~ ndr1_0
      | hskp0
      | ~ c1_1(X60) ),
    inference(duplicate_literal_removal,[],[f113]) ).

fof(f113,plain,
    ! [X59,X60] :
      ( c0_1(X60)
      | ~ c1_1(X59)
      | ~ c2_1(X60)
      | hskp0
      | c2_1(X59)
      | ~ c1_1(X60)
      | ~ ndr1_0
      | ~ ndr1_0
      | c0_1(X59) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f939,plain,
    ( ~ spl0_1
    | spl0_141 ),
    inference(avatar_split_clause,[],[f197,f936,f243]) ).

fof(f243,plain,
    ( spl0_1
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f197,plain,
    ( c0_1(a1029)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f934,plain,
    ( ~ spl0_61
    | spl0_140 ),
    inference(avatar_split_clause,[],[f68,f931,f499]) ).

fof(f68,plain,
    ( c2_1(a1041)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f929,plain,
    ( ~ spl0_38
    | spl0_139 ),
    inference(avatar_split_clause,[],[f192,f926,f400]) ).

fof(f192,plain,
    ( c0_1(a1000)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f924,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_51
    | spl0_49 ),
    inference(avatar_split_clause,[],[f207,f448,f455,f250,f247]) ).

fof(f207,plain,
    ! [X54,X52,X53] :
      ( c3_1(X52)
      | ~ c1_1(X54)
      | c0_1(X54)
      | ~ ndr1_0
      | c2_1(X52)
      | c1_1(X53)
      | c3_1(X54)
      | c3_1(X53)
      | c2_1(X53)
      | c0_1(X52) ),
    inference(duplicate_literal_removal,[],[f120]) ).

fof(f120,plain,
    ! [X54,X52,X53] :
      ( c2_1(X52)
      | ~ c1_1(X54)
      | c3_1(X52)
      | ~ ndr1_0
      | c3_1(X54)
      | c2_1(X53)
      | ~ ndr1_0
      | c3_1(X53)
      | c0_1(X52)
      | c1_1(X53)
      | ~ ndr1_0
      | c0_1(X54) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f917,plain,
    ( spl0_137
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f62,f357,f914]) ).

fof(f357,plain,
    ( spl0_28
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f62,plain,
    ( ~ hskp25
    | c1_1(a1048) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f912,plain,
    ( ~ spl0_73
    | spl0_136 ),
    inference(avatar_split_clause,[],[f166,f909,f559]) ).

fof(f559,plain,
    ( spl0_73
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f166,plain,
    ( c3_1(a1001)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f907,plain,
    ( ~ spl0_5
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f56,f904,f258]) ).

fof(f258,plain,
    ( spl0_5
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f56,plain,
    ( ~ c1_1(a1037)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f902,plain,
    ( ~ spl0_11
    | spl0_134 ),
    inference(avatar_split_clause,[],[f89,f899,f283]) ).

fof(f89,plain,
    ( c0_1(a1006)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f896,plain,
    ( ~ spl0_65
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f40,f893,f520]) ).

fof(f40,plain,
    ( ~ c2_1(a1043)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f891,plain,
    ( ~ spl0_132
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f92,f262,f888]) ).

fof(f92,plain,
    ( ~ hskp26
    | ~ c2_1(a1052) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f879,plain,
    ( ~ spl0_93
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f143,f876,f661]) ).

fof(f661,plain,
    ( spl0_93
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f143,plain,
    ( ~ c2_1(a1005)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f874,plain,
    ( ~ spl0_59
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f35,f871,f489]) ).

fof(f489,plain,
    ( spl0_59
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f35,plain,
    ( ~ c1_1(a1015)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f869,plain,
    ( ~ spl0_12
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f117,f866,f288]) ).

fof(f117,plain,
    ( ~ c2_1(a1003)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f864,plain,
    ( ~ spl0_127
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f91,f262,f861]) ).

fof(f91,plain,
    ( ~ hskp26
    | ~ c0_1(a1052) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f859,plain,
    ( ~ spl0_126
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f170,f431,f856]) ).

fof(f170,plain,
    ( ~ hskp7
    | ~ c3_1(a1008) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f853,plain,
    ( spl0_125
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f110,f340,f850]) ).

fof(f340,plain,
    ( spl0_24
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f110,plain,
    ( ~ hskp12
    | c2_1(a1019) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f846,plain,
    ( ~ spl0_3
    | spl0_34
    | spl0_50
    | spl0_20 ),
    inference(avatar_split_clause,[],[f209,f322,f451,f383,f250]) ).

fof(f209,plain,
    ! [X106,X107] :
      ( c0_1(X106)
      | c3_1(X107)
      | c1_1(X107)
      | ~ c1_1(X106)
      | hskp8
      | ~ ndr1_0
      | c2_1(X106)
      | ~ c2_1(X107) ),
    inference(duplicate_literal_removal,[],[f24]) ).

fof(f24,plain,
    ! [X106,X107] :
      ( ~ ndr1_0
      | ~ ndr1_0
      | c3_1(X107)
      | ~ c1_1(X106)
      | ~ c2_1(X107)
      | c2_1(X106)
      | c0_1(X106)
      | hskp8
      | c1_1(X107) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f845,plain,
    ( spl0_124
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f77,f494,f842]) ).

fof(f494,plain,
    ( spl0_60
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f77,plain,
    ( ~ hskp16
    | c1_1(a1030) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f839,plain,
    ( spl0_37
    | spl0_6
    | spl0_12 ),
    inference(avatar_split_clause,[],[f78,f288,f262,f395]) ).

fof(f395,plain,
    ( spl0_37
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f78,plain,
    ( hskp3
    | hskp26
    | hskp29 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f838,plain,
    ( ~ spl0_46
    | spl0_123 ),
    inference(avatar_split_clause,[],[f149,f835,f436]) ).

fof(f149,plain,
    ( c3_1(a1023)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f833,plain,
    ( spl0_8
    | spl0_73
    | ~ spl0_3
    | spl0_81 ),
    inference(avatar_split_clause,[],[f59,f600,f250,f559,f270]) ).

fof(f270,plain,
    ( spl0_8
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f59,plain,
    ! [X84] :
      ( ~ c2_1(X84)
      | ~ ndr1_0
      | hskp1
      | c0_1(X84)
      | hskp2
      | c3_1(X84) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f832,plain,
    ( ~ spl0_93
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f142,f829,f661]) ).

fof(f142,plain,
    ( ~ c3_1(a1005)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f822,plain,
    ( spl0_120
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f168,f431,f819]) ).

fof(f168,plain,
    ( ~ hskp7
    | c2_1(a1008) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f817,plain,
    ( ~ spl0_26
    | spl0_119 ),
    inference(avatar_split_clause,[],[f129,f814,f349]) ).

fof(f129,plain,
    ( c2_1(a1004)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f812,plain,
    ( spl0_118
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f19,f270,f809]) ).

fof(f19,plain,
    ( ~ hskp2
    | c2_1(a1002) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f807,plain,
    ( ~ spl0_61
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f67,f804,f499]) ).

fof(f67,plain,
    ( ~ c0_1(a1041)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f801,plain,
    ( ~ spl0_116
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f55,f258,f798]) ).

fof(f55,plain,
    ( ~ hskp19
    | ~ c3_1(a1037) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f796,plain,
    ( ~ spl0_75
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f28,f793,f568]) ).

fof(f28,plain,
    ( ~ c3_1(a1025)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f791,plain,
    ( ~ spl0_114
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f54,f258,f788]) ).

fof(f54,plain,
    ( ~ hskp19
    | ~ c0_1(a1037) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f786,plain,
    ( spl0_37
    | spl0_61
    | spl0_40
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f106,f250,f410,f499,f395]) ).

fof(f106,plain,
    ! [X65] :
      ( ~ ndr1_0
      | c3_1(X65)
      | ~ c0_1(X65)
      | hskp21
      | hskp29
      | c1_1(X65) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f785,plain,
    ( ~ spl0_34
    | spl0_113 ),
    inference(avatar_split_clause,[],[f47,f782,f383]) ).

fof(f47,plain,
    ( c3_1(a1010)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f779,plain,
    ( spl0_24
    | ~ spl0_3
    | spl0_83
    | spl0_21 ),
    inference(avatar_split_clause,[],[f8,f325,f610,f250,f340]) ).

fof(f8,plain,
    ! [X115] :
      ( hskp9
      | ~ c1_1(X115)
      | ~ ndr1_0
      | ~ c2_1(X115)
      | ~ c0_1(X115)
      | hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f773,plain,
    ( ~ spl0_26
    | spl0_111 ),
    inference(avatar_split_clause,[],[f130,f770,f349]) ).

fof(f130,plain,
    ( c1_1(a1004)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f768,plain,
    ( ~ spl0_3
    | spl0_35
    | spl0_53
    | spl0_51 ),
    inference(avatar_split_clause,[],[f212,f455,f462,f387,f250]) ).

fof(f212,plain,
    ! [X21,X19,X20] :
      ( c3_1(X20)
      | ~ c3_1(X19)
      | c1_1(X21)
      | ~ c2_1(X19)
      | ~ ndr1_0
      | c0_1(X20)
      | ~ c3_1(X21)
      | ~ c1_1(X19)
      | ~ c1_1(X20)
      | c2_1(X21) ),
    inference(duplicate_literal_removal,[],[f173]) ).

fof(f173,plain,
    ! [X21,X19,X20] :
      ( ~ c1_1(X20)
      | ~ c1_1(X19)
      | c1_1(X21)
      | ~ ndr1_0
      | ~ ndr1_0
      | c0_1(X20)
      | ~ c3_1(X19)
      | c3_1(X20)
      | ~ ndr1_0
      | c2_1(X21)
      | ~ c2_1(X19)
      | ~ c3_1(X21) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f767,plain,
    ( ~ spl0_19
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f10,f764,f318]) ).

fof(f318,plain,
    ( spl0_19
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f10,plain,
    ( ~ c1_1(a1012)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f762,plain,
    ( ~ spl0_3
    | spl0_40
    | spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f213,f258,f254,f410,f250]) ).

fof(f213,plain,
    ! [X11,X12] :
      ( hskp19
      | ~ c2_1(X11)
      | c1_1(X11)
      | ~ c0_1(X11)
      | ~ c0_1(X12)
      | c3_1(X12)
      | ~ ndr1_0
      | c1_1(X12) ),
    inference(duplicate_literal_removal,[],[f177]) ).

fof(f177,plain,
    ! [X11,X12] :
      ( c1_1(X11)
      | c3_1(X12)
      | ~ c2_1(X11)
      | c1_1(X12)
      | ~ ndr1_0
      | ~ c0_1(X12)
      | ~ ndr1_0
      | ~ c0_1(X11)
      | hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f761,plain,
    ( ~ spl0_109
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f97,f313,f758]) ).

fof(f313,plain,
    ( spl0_18
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f97,plain,
    ( ~ hskp15
    | ~ c0_1(a1026) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f756,plain,
    ( spl0_11
    | spl0_1
    | spl0_75 ),
    inference(avatar_split_clause,[],[f122,f568,f243,f283]) ).

fof(f122,plain,
    ( hskp14
    | hskp27
    | hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f755,plain,
    ( ~ spl0_37
    | spl0_108 ),
    inference(avatar_split_clause,[],[f185,f752,f395]) ).

fof(f185,plain,
    ( c3_1(a1040)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f749,plain,
    ( ~ spl0_107
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f152,f436,f746]) ).

fof(f152,plain,
    ( ~ hskp13
    | ~ c1_1(a1023) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f744,plain,
    ( spl0_106
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f44,f383,f741]) ).

fof(f44,plain,
    ( ~ hskp8
    | c0_1(a1010) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f738,plain,
    ( spl0_105
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f198,f243,f735]) ).

fof(f198,plain,
    ( ~ hskp27
    | c2_1(a1029) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f732,plain,
    ( ~ spl0_22
    | spl0_104 ),
    inference(avatar_split_clause,[],[f17,f729,f331]) ).

fof(f17,plain,
    ( c1_1(a1045)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f727,plain,
    ( spl0_73
    | ~ spl0_3
    | spl0_38
    | spl0_42 ),
    inference(avatar_split_clause,[],[f42,f417,f400,f250,f559]) ).

fof(f42,plain,
    ! [X95] :
      ( c2_1(X95)
      | c0_1(X95)
      | hskp0
      | ~ ndr1_0
      | c1_1(X95)
      | hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f722,plain,
    ( spl0_46
    | spl0_30
    | spl0_37 ),
    inference(avatar_split_clause,[],[f155,f395,f366,f436]) ).

fof(f155,plain,
    ( hskp29
    | hskp23
    | hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f721,plain,
    ( spl0_18
    | ~ spl0_3
    | spl0_33
    | spl0_22 ),
    inference(avatar_split_clause,[],[f105,f331,f379,f250,f313]) ).

fof(f105,plain,
    ! [X66] :
      ( hskp24
      | ~ c3_1(X66)
      | ~ ndr1_0
      | c1_1(X66)
      | hskp15
      | ~ c0_1(X66) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f720,plain,
    ( ~ spl0_28
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f64,f717,f357]) ).

fof(f64,plain,
    ( ~ c0_1(a1048)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f715,plain,
    ( ~ spl0_101
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f66,f499,f712]) ).

fof(f66,plain,
    ( ~ hskp21
    | ~ c3_1(a1041) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f710,plain,
    ( ~ spl0_73
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f165,f707,f559]) ).

fof(f165,plain,
    ( ~ c1_1(a1001)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f705,plain,
    ( ~ spl0_37
    | spl0_99 ),
    inference(avatar_split_clause,[],[f183,f702,f395]) ).

fof(f183,plain,
    ( c0_1(a1040)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f693,plain,
    ( ~ spl0_45
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f169,f690,f431]) ).

fof(f169,plain,
    ( ~ c1_1(a1008)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f686,plain,
    ( spl0_2
    | spl0_27
    | ~ spl0_3
    | spl0_24 ),
    inference(avatar_split_clause,[],[f216,f340,f250,f353,f247]) ).

fof(f216,plain,
    ! [X96,X97] :
      ( hskp12
      | ~ ndr1_0
      | c2_1(X97)
      | ~ c0_1(X97)
      | c1_1(X96)
      | c2_1(X96)
      | c3_1(X96)
      | ~ c3_1(X97) ),
    inference(duplicate_literal_removal,[],[f41]) ).

fof(f41,plain,
    ! [X96,X97] :
      ( ~ c3_1(X97)
      | c2_1(X97)
      | ~ ndr1_0
      | c1_1(X96)
      | ~ ndr1_0
      | c3_1(X96)
      | c2_1(X96)
      | ~ c0_1(X97)
      | hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f685,plain,
    ( ~ spl0_3
    | spl0_93
    | spl0_91
    | spl0_83 ),
    inference(avatar_split_clause,[],[f217,f610,f652,f661,f250]) ).

fof(f217,plain,
    ! [X41,X42] :
      ( ~ c2_1(X42)
      | ~ c3_1(X41)
      | c1_1(X41)
      | hskp5
      | ~ c1_1(X42)
      | c0_1(X41)
      | ~ ndr1_0
      | ~ c0_1(X42) ),
    inference(duplicate_literal_removal,[],[f138]) ).

fof(f138,plain,
    ! [X41,X42] :
      ( ~ c3_1(X41)
      | ~ ndr1_0
      | ~ c2_1(X42)
      | c1_1(X41)
      | ~ c1_1(X42)
      | c0_1(X41)
      | ~ ndr1_0
      | ~ c0_1(X42)
      | hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f684,plain,
    ( ~ spl0_30
    | spl0_96 ),
    inference(avatar_split_clause,[],[f82,f681,f366]) ).

fof(f82,plain,
    ( c1_1(a1044)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f679,plain,
    ( ~ spl0_95
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f46,f383,f676]) ).

fof(f46,plain,
    ( ~ hskp8
    | ~ c1_1(a1010) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f673,plain,
    ( spl0_40
    | spl0_2
    | spl0_46
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f218,f250,f436,f247,f410]) ).

fof(f218,plain,
    ! [X108,X109] :
      ( ~ ndr1_0
      | hskp13
      | c2_1(X109)
      | c3_1(X109)
      | c1_1(X108)
      | ~ c0_1(X108)
      | c3_1(X108)
      | c1_1(X109) ),
    inference(duplicate_literal_removal,[],[f23]) ).

fof(f23,plain,
    ! [X108,X109] :
      ( c3_1(X108)
      | ~ ndr1_0
      | c3_1(X109)
      | c2_1(X109)
      | c1_1(X109)
      | ~ ndr1_0
      | hskp13
      | ~ c0_1(X108)
      | c1_1(X108) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f670,plain,
    ( ~ spl0_59
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f32,f667,f489]) ).

fof(f32,plain,
    ( ~ c0_1(a1015)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f664,plain,
    ( ~ spl0_92
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f144,f661,f657]) ).

fof(f144,plain,
    ( ~ hskp5
    | ~ c1_1(a1005) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f655,plain,
    ( spl0_55
    | spl0_48
    | spl0_40
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f219,f250,f410,f445,f470]) ).

fof(f219,plain,
    ! [X90,X91] :
      ( ~ ndr1_0
      | c1_1(X90)
      | ~ c0_1(X90)
      | c3_1(X90)
      | ~ c0_1(X91)
      | hskp20
      | c2_1(X91)
      | c3_1(X91) ),
    inference(duplicate_literal_removal,[],[f51]) ).

fof(f51,plain,
    ! [X90,X91] :
      ( ~ ndr1_0
      | ~ c0_1(X91)
      | ~ c0_1(X90)
      | hskp20
      | c2_1(X91)
      | c3_1(X90)
      | c1_1(X90)
      | c3_1(X91)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f654,plain,
    ( ~ spl0_3
    | spl0_50
    | spl0_91
    | spl0_41 ),
    inference(avatar_split_clause,[],[f220,f414,f652,f451,f250]) ).

fof(f220,plain,
    ! [X111,X112,X110] :
      ( c2_1(X110)
      | c1_1(X111)
      | c3_1(X112)
      | ~ c2_1(X112)
      | ~ c3_1(X111)
      | ~ c3_1(X110)
      | c1_1(X112)
      | ~ ndr1_0
      | c0_1(X110)
      | c0_1(X111) ),
    inference(duplicate_literal_removal,[],[f22]) ).

fof(f22,plain,
    ! [X111,X112,X110] :
      ( ~ c2_1(X112)
      | c0_1(X111)
      | ~ c3_1(X110)
      | c0_1(X110)
      | ~ ndr1_0
      | ~ ndr1_0
      | c3_1(X112)
      | ~ c3_1(X111)
      | c1_1(X112)
      | c2_1(X110)
      | ~ ndr1_0
      | c1_1(X111) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f649,plain,
    ( ~ spl0_56
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f124,f646,f475]) ).

fof(f124,plain,
    ( ~ c2_1(a1036)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f643,plain,
    ( ~ spl0_60
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f76,f640,f494]) ).

fof(f76,plain,
    ( ~ c3_1(a1030)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f637,plain,
    ( ~ spl0_75
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f27,f634,f568]) ).

fof(f27,plain,
    ( ~ c2_1(a1025)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f632,plain,
    ( spl0_59
    | ~ spl0_3
    | spl0_81
    | spl0_33 ),
    inference(avatar_split_clause,[],[f222,f379,f600,f250,f489]) ).

fof(f222,plain,
    ! [X16,X15] :
      ( ~ c3_1(X16)
      | c3_1(X15)
      | ~ ndr1_0
      | ~ c0_1(X16)
      | ~ c2_1(X15)
      | c0_1(X15)
      | c1_1(X16)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f175]) ).

fof(f175,plain,
    ! [X16,X15] :
      ( ~ ndr1_0
      | ~ ndr1_0
      | ~ c2_1(X15)
      | c1_1(X16)
      | c3_1(X15)
      | c0_1(X15)
      | ~ c0_1(X16)
      | ~ c3_1(X16)
      | hskp11 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f631,plain,
    ( spl0_87
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f93,f262,f628]) ).

fof(f93,plain,
    ( ~ hskp26
    | c3_1(a1052) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f626,plain,
    ( ~ spl0_1
    | spl0_86 ),
    inference(avatar_split_clause,[],[f196,f623,f243]) ).

fof(f196,plain,
    ( c3_1(a1029)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f621,plain,
    ( spl0_65
    | spl0_11
    | spl0_85
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f85,f250,f619,f283,f520]) ).

fof(f85,plain,
    ! [X73] :
      ( ~ ndr1_0
      | ~ c1_1(X73)
      | c2_1(X73)
      | ~ c3_1(X73)
      | hskp6
      | hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f617,plain,
    ( spl0_84
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f96,f313,f614]) ).

fof(f96,plain,
    ( ~ hskp15
    | c2_1(a1026) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f612,plain,
    ( ~ spl0_3
    | spl0_45
    | spl0_83 ),
    inference(avatar_split_clause,[],[f103,f610,f431,f250]) ).

fof(f103,plain,
    ! [X70] :
      ( ~ c2_1(X70)
      | ~ c1_1(X70)
      | ~ c0_1(X70)
      | hskp7
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f608,plain,
    ( spl0_24
    | spl0_11
    | spl0_51
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f29,f250,f455,f283,f340]) ).

fof(f29,plain,
    ! [X105] :
      ( ~ ndr1_0
      | c3_1(X105)
      | hskp6
      | c0_1(X105)
      | ~ c1_1(X105)
      | hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f607,plain,
    ( ~ spl0_21
    | spl0_82 ),
    inference(avatar_split_clause,[],[f156,f604,f325]) ).

fof(f156,plain,
    ( c0_1(a1011)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f602,plain,
    ( ~ spl0_3
    | spl0_81
    | spl0_48
    | spl0_4 ),
    inference(avatar_split_clause,[],[f223,f254,f445,f600,f250]) ).

fof(f223,plain,
    ! [X68,X69,X67] :
      ( c1_1(X69)
      | c3_1(X67)
      | ~ c0_1(X67)
      | c0_1(X68)
      | c2_1(X67)
      | ~ ndr1_0
      | ~ c0_1(X69)
      | c3_1(X68)
      | ~ c2_1(X68)
      | ~ c2_1(X69) ),
    inference(duplicate_literal_removal,[],[f104]) ).

fof(f104,plain,
    ! [X68,X69,X67] :
      ( c1_1(X69)
      | c2_1(X67)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ ndr1_0
      | c0_1(X68)
      | ~ c0_1(X69)
      | c3_1(X68)
      | ~ c2_1(X69)
      | c3_1(X67)
      | ~ c2_1(X68)
      | ~ c0_1(X67) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f598,plain,
    ( ~ spl0_22
    | spl0_80 ),
    inference(avatar_split_clause,[],[f15,f595,f331]) ).

fof(f15,plain,
    ( c3_1(a1045)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f593,plain,
    ( spl0_27
    | ~ spl0_3
    | spl0_12
    | spl0_30 ),
    inference(avatar_split_clause,[],[f167,f366,f288,f250,f353]) ).

fof(f167,plain,
    ! [X24] :
      ( hskp23
      | hskp3
      | ~ ndr1_0
      | c2_1(X24)
      | ~ c3_1(X24)
      | ~ c0_1(X24) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f592,plain,
    ( spl0_25
    | spl0_7
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f224,f283,f250,f266,f345]) ).

fof(f224,plain,
    ! [X62,X61] :
      ( hskp6
      | ~ ndr1_0
      | ~ c0_1(X62)
      | ~ c1_1(X61)
      | ~ c3_1(X62)
      | ~ c2_1(X62)
      | c2_1(X61)
      | ~ c0_1(X61) ),
    inference(duplicate_literal_removal,[],[f112]) ).

fof(f112,plain,
    ! [X62,X61] :
      ( ~ c1_1(X61)
      | ~ ndr1_0
      | ~ c0_1(X61)
      | ~ c3_1(X62)
      | hskp6
      | ~ c2_1(X62)
      | ~ c0_1(X62)
      | ~ ndr1_0
      | c2_1(X61) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f591,plain,
    ( ~ spl0_79
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f191,f400,f588]) ).

fof(f191,plain,
    ( ~ hskp0
    | ~ c3_1(a1000) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f581,plain,
    ( spl0_77
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f108,f340,f578]) ).

fof(f108,plain,
    ( ~ hskp12
    | c1_1(a1019) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f576,plain,
    ( ~ spl0_3
    | spl0_52
    | spl0_11
    | spl0_49 ),
    inference(avatar_split_clause,[],[f225,f448,f283,f459,f250]) ).

fof(f225,plain,
    ! [X46,X45] :
      ( c2_1(X45)
      | hskp6
      | ~ c3_1(X46)
      | ~ c2_1(X46)
      | c0_1(X46)
      | c0_1(X45)
      | ~ ndr1_0
      | c3_1(X45) ),
    inference(duplicate_literal_removal,[],[f132]) ).

fof(f132,plain,
    ! [X46,X45] :
      ( ~ c3_1(X46)
      | c0_1(X45)
      | c2_1(X45)
      | ~ c2_1(X46)
      | ~ ndr1_0
      | c0_1(X46)
      | hskp6
      | ~ ndr1_0
      | c3_1(X45) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f575,plain,
    ( ~ spl0_75
    | spl0_76 ),
    inference(avatar_split_clause,[],[f26,f572,f568]) ).

fof(f26,plain,
    ( c0_1(a1025)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f566,plain,
    ( ~ spl0_73
    | spl0_74 ),
    inference(avatar_split_clause,[],[f163,f563,f559]) ).

fof(f163,plain,
    ( c2_1(a1001)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f557,plain,
    ( ~ spl0_72
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f11,f318,f554]) ).

fof(f11,plain,
    ( ~ hskp10
    | ~ c3_1(a1012) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f552,plain,
    ( ~ spl0_3
    | spl0_25
    | spl0_53
    | spl0_33 ),
    inference(avatar_split_clause,[],[f226,f379,f462,f345,f250]) ).

fof(f226,plain,
    ! [X3,X4,X5] :
      ( ~ c0_1(X4)
      | ~ c3_1(X5)
      | c2_1(X3)
      | ~ c2_1(X5)
      | ~ c1_1(X5)
      | ~ ndr1_0
      | ~ c3_1(X4)
      | ~ c0_1(X3)
      | ~ c1_1(X3)
      | c1_1(X4) ),
    inference(duplicate_literal_removal,[],[f182]) ).

fof(f182,plain,
    ! [X3,X4,X5] :
      ( c2_1(X3)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c1_1(X3)
      | ~ c3_1(X5)
      | c1_1(X4)
      | ~ c1_1(X5)
      | ~ c2_1(X5)
      | ~ c0_1(X4)
      | ~ c0_1(X3)
      | ~ ndr1_0
      | ~ c3_1(X4) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f551,plain,
    ( ~ spl0_71
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f118,f288,f548]) ).

fof(f118,plain,
    ( ~ hskp3
    | ~ c0_1(a1003) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f546,plain,
    ( spl0_70
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f127,f475,f543]) ).

fof(f127,plain,
    ( ~ hskp18
    | c3_1(a1036) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f537,plain,
    ( ~ spl0_3
    | spl0_46
    | spl0_68
    | spl0_35 ),
    inference(avatar_split_clause,[],[f228,f387,f535,f436,f250]) ).

fof(f228,plain,
    ! [X36,X37] :
      ( c2_1(X37)
      | ~ c1_1(X36)
      | hskp13
      | c0_1(X36)
      | c1_1(X37)
      | ~ ndr1_0
      | ~ c3_1(X37)
      | ~ c2_1(X36) ),
    inference(duplicate_literal_removal,[],[f140]) ).

fof(f140,plain,
    ! [X36,X37] :
      ( c1_1(X37)
      | ~ c2_1(X36)
      | c0_1(X36)
      | hskp13
      | ~ ndr1_0
      | ~ c1_1(X36)
      | ~ c3_1(X37)
      | ~ ndr1_0
      | c2_1(X37) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f523,plain,
    ( spl0_64
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f37,f520,f516]) ).

fof(f37,plain,
    ( ~ hskp22
    | c0_1(a1043) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f514,plain,
    ( ~ spl0_21
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f159,f511,f325]) ).

fof(f159,plain,
    ( ~ c2_1(a1011)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f509,plain,
    ( spl0_28
    | spl0_12
    | ~ spl0_3
    | spl0_48 ),
    inference(avatar_split_clause,[],[f178,f445,f250,f288,f357]) ).

fof(f178,plain,
    ! [X10] :
      ( c2_1(X10)
      | ~ ndr1_0
      | c3_1(X10)
      | ~ c0_1(X10)
      | hskp3
      | hskp25 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f508,plain,
    ( ~ spl0_60
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f74,f505,f494]) ).

fof(f74,plain,
    ( ~ c2_1(a1030)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f502,plain,
    ( ~ spl0_61
    | spl0_3 ),
    inference(avatar_split_clause,[],[f69,f250,f499]) ).

fof(f69,plain,
    ( ndr1_0
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f497,plain,
    ( spl0_2
    | spl0_60
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f231,f295,f250,f494,f247]) ).

fof(f231,plain,
    ! [X44,X43] :
      ( c3_1(X43)
      | ~ ndr1_0
      | hskp16
      | ~ c1_1(X43)
      | c1_1(X44)
      | c3_1(X44)
      | c2_1(X43)
      | c2_1(X44) ),
    inference(duplicate_literal_removal,[],[f133]) ).

fof(f133,plain,
    ! [X44,X43] :
      ( c2_1(X43)
      | ~ c1_1(X43)
      | c3_1(X43)
      | ~ ndr1_0
      | c1_1(X44)
      | c2_1(X44)
      | ~ ndr1_0
      | c3_1(X44)
      | hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f492,plain,
    ( spl0_58
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f33,f489,f485]) ).

fof(f33,plain,
    ( ~ hskp11
    | c3_1(a1015) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f483,plain,
    ( ~ spl0_26
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f131,f480,f349]) ).

fof(f131,plain,
    ( ~ c3_1(a1004)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f478,plain,
    ( spl0_19
    | spl0_56
    | spl0_35
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f43,f250,f387,f475,f318]) ).

fof(f43,plain,
    ! [X94] :
      ( ~ ndr1_0
      | ~ c3_1(X94)
      | hskp18
      | c2_1(X94)
      | hskp10
      | c1_1(X94) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f473,plain,
    ( ~ spl0_54
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f147,f470,f466]) ).

fof(f147,plain,
    ( ~ hskp20
    | ~ c1_1(a1038) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f464,plain,
    ( ~ spl0_3
    | spl0_52
    | spl0_53
    | spl0_32 ),
    inference(avatar_split_clause,[],[f232,f376,f462,f459,f250]) ).

fof(f232,plain,
    ! [X56,X57,X55] :
      ( c0_1(X57)
      | ~ c3_1(X56)
      | ~ c3_1(X57)
      | ~ c1_1(X56)
      | ~ c3_1(X55)
      | ~ c1_1(X57)
      | ~ c2_1(X56)
      | ~ c2_1(X55)
      | ~ ndr1_0
      | c0_1(X55) ),
    inference(duplicate_literal_removal,[],[f119]) ).

fof(f119,plain,
    ! [X56,X57,X55] :
      ( c0_1(X57)
      | ~ c1_1(X57)
      | ~ c3_1(X57)
      | ~ ndr1_0
      | ~ c1_1(X56)
      | ~ ndr1_0
      | ~ c2_1(X55)
      | ~ ndr1_0
      | c0_1(X55)
      | ~ c2_1(X56)
      | ~ c3_1(X56)
      | ~ c3_1(X55) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f457,plain,
    ( spl0_7
    | spl0_51
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f233,f283,f250,f455,f266]) ).

fof(f233,plain,
    ! [X32,X33] :
      ( hskp6
      | ~ ndr1_0
      | c0_1(X32)
      | ~ c3_1(X33)
      | ~ c0_1(X33)
      | ~ c2_1(X33)
      | ~ c1_1(X32)
      | c3_1(X32) ),
    inference(duplicate_literal_removal,[],[f154]) ).

fof(f154,plain,
    ! [X32,X33] :
      ( ~ c3_1(X33)
      | ~ c2_1(X33)
      | ~ ndr1_0
      | ~ c1_1(X32)
      | c0_1(X32)
      | c3_1(X32)
      | ~ ndr1_0
      | ~ c0_1(X33)
      | hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f453,plain,
    ( ~ spl0_3
    | spl0_48
    | spl0_49
    | spl0_50 ),
    inference(avatar_split_clause,[],[f234,f451,f448,f445,f250]) ).

fof(f234,plain,
    ! [X101,X102,X100] :
      ( c3_1(X101)
      | c0_1(X100)
      | c2_1(X100)
      | c3_1(X102)
      | c2_1(X102)
      | ~ ndr1_0
      | c3_1(X100)
      | ~ c0_1(X102)
      | c1_1(X101)
      | ~ c2_1(X101) ),
    inference(duplicate_literal_removal,[],[f31]) ).

fof(f31,plain,
    ! [X101,X102,X100] :
      ( ~ ndr1_0
      | c3_1(X100)
      | c3_1(X101)
      | ~ c2_1(X101)
      | c3_1(X102)
      | ~ ndr1_0
      | c2_1(X102)
      | ~ ndr1_0
      | c0_1(X100)
      | ~ c0_1(X102)
      | c1_1(X101)
      | c2_1(X100) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f443,plain,
    ( ~ spl0_46
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f150,f440,f436]) ).

fof(f150,plain,
    ( ~ c2_1(a1023)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f434,plain,
    ( spl0_3
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f171,f431,f250]) ).

fof(f171,plain,
    ( ~ hskp7
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f429,plain,
    ( ~ spl0_19
    | spl0_44 ),
    inference(avatar_split_clause,[],[f13,f426,f318]) ).

fof(f13,plain,
    ( c0_1(a1012)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f424,plain,
    ( ~ spl0_43
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f63,f357,f421]) ).

fof(f63,plain,
    ( ~ hskp25
    | ~ c3_1(a1048) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f419,plain,
    ( spl0_41
    | ~ spl0_3
    | spl0_42
    | spl0_13 ),
    inference(avatar_split_clause,[],[f235,f292,f417,f250,f414]) ).

fof(f235,plain,
    ! [X40,X38,X39] :
      ( ~ c2_1(X40)
      | c1_1(X39)
      | c1_1(X40)
      | c2_1(X39)
      | ~ ndr1_0
      | ~ c3_1(X38)
      | c0_1(X39)
      | c0_1(X38)
      | c0_1(X40)
      | c2_1(X38) ),
    inference(duplicate_literal_removal,[],[f139]) ).

fof(f139,plain,
    ! [X40,X38,X39] :
      ( c0_1(X40)
      | ~ c2_1(X40)
      | c1_1(X39)
      | ~ c3_1(X38)
      | ~ ndr1_0
      | ~ ndr1_0
      | c1_1(X40)
      | c0_1(X38)
      | c2_1(X38)
      | ~ ndr1_0
      | c2_1(X39)
      | c0_1(X39) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f412,plain,
    ( spl0_26
    | ~ spl0_3
    | spl0_40
    | spl0_20 ),
    inference(avatar_split_clause,[],[f236,f322,f410,f250,f349]) ).

fof(f236,plain,
    ! [X26,X25] :
      ( c0_1(X26)
      | c2_1(X26)
      | ~ c1_1(X26)
      | c1_1(X25)
      | ~ c0_1(X25)
      | ~ ndr1_0
      | c3_1(X25)
      | hskp4 ),
    inference(duplicate_literal_removal,[],[f162]) ).

fof(f162,plain,
    ! [X26,X25] :
      ( c3_1(X25)
      | c1_1(X25)
      | ~ ndr1_0
      | ~ ndr1_0
      | c2_1(X26)
      | ~ c1_1(X26)
      | hskp4
      | ~ c0_1(X25)
      | c0_1(X26) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f407,plain,
    ( ~ spl0_38
    | spl0_39 ),
    inference(avatar_split_clause,[],[f193,f404,f400]) ).

fof(f193,plain,
    ( c2_1(a1000)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f398,plain,
    ( spl0_36
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f186,f395,f391]) ).

fof(f186,plain,
    ( ~ hskp29
    | c1_1(a1040) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f381,plain,
    ( spl0_18
    | spl0_32
    | spl0_33
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f237,f250,f379,f376,f313]) ).

fof(f237,plain,
    ! [X14,X13] :
      ( ~ ndr1_0
      | ~ c3_1(X13)
      | ~ c3_1(X14)
      | c1_1(X13)
      | ~ c0_1(X13)
      | hskp15
      | ~ c1_1(X14)
      | c0_1(X14) ),
    inference(duplicate_literal_removal,[],[f176]) ).

fof(f176,plain,
    ! [X14,X13] :
      ( ~ c1_1(X14)
      | c0_1(X14)
      | ~ ndr1_0
      | ~ c3_1(X14)
      | hskp15
      | ~ c3_1(X13)
      | ~ ndr1_0
      | ~ c0_1(X13)
      | c1_1(X13) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f374,plain,
    ( spl0_31
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f21,f270,f371]) ).

fof(f21,plain,
    ( ~ hskp2
    | c0_1(a1002) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f369,plain,
    ( spl0_29
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f80,f366,f362]) ).

fof(f80,plain,
    ( ~ hskp23
    | c0_1(a1044) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f360,plain,
    ( spl0_28
    | spl0_5
    | spl0_22 ),
    inference(avatar_split_clause,[],[f79,f331,f258,f357]) ).

fof(f79,plain,
    ( hskp24
    | hskp19
    | hskp25 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f355,plain,
    ( ~ spl0_3
    | spl0_26
    | spl0_27
    | spl0_13 ),
    inference(avatar_split_clause,[],[f238,f292,f353,f349,f250]) ).

fof(f238,plain,
    ! [X31,X30] :
      ( ~ c2_1(X30)
      | ~ c3_1(X31)
      | c0_1(X30)
      | hskp4
      | ~ ndr1_0
      | c1_1(X30)
      | ~ c0_1(X31)
      | c2_1(X31) ),
    inference(duplicate_literal_removal,[],[f160]) ).

fof(f160,plain,
    ! [X31,X30] :
      ( ~ ndr1_0
      | ~ c3_1(X31)
      | ~ c0_1(X31)
      | ~ ndr1_0
      | ~ c2_1(X30)
      | c0_1(X30)
      | hskp4
      | c2_1(X31)
      | c1_1(X30) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f347,plain,
    ( spl0_25
    | spl0_13
    | spl0_4
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f239,f250,f254,f292,f345]) ).

fof(f239,plain,
    ! [X28,X29,X27] :
      ( ~ ndr1_0
      | c1_1(X27)
      | c0_1(X29)
      | ~ c2_1(X27)
      | ~ c2_1(X29)
      | ~ c0_1(X28)
      | ~ c0_1(X27)
      | c2_1(X28)
      | ~ c1_1(X28)
      | c1_1(X29) ),
    inference(duplicate_literal_removal,[],[f161]) ).

fof(f161,plain,
    ! [X28,X29,X27] :
      ( ~ c1_1(X28)
      | c1_1(X29)
      | c2_1(X28)
      | ~ ndr1_0
      | ~ c2_1(X29)
      | ~ c0_1(X27)
      | ~ ndr1_0
      | ~ c2_1(X27)
      | ~ ndr1_0
      | c1_1(X27)
      | ~ c0_1(X28)
      | c0_1(X29) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f343,plain,
    ( ~ spl0_23
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f109,f340,f336]) ).

fof(f109,plain,
    ( ~ hskp12
    | ~ c0_1(a1019) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f334,plain,
    ( spl0_22
    | ~ spl0_3
    | spl0_12
    | spl0_7 ),
    inference(avatar_split_clause,[],[f72,f266,f288,f250,f331]) ).

fof(f72,plain,
    ! [X77] :
      ( ~ c3_1(X77)
      | ~ c0_1(X77)
      | hskp3
      | ~ ndr1_0
      | ~ c2_1(X77)
      | hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f328,plain,
    ( spl0_19
    | ~ spl0_3
    | spl0_20
    | spl0_21 ),
    inference(avatar_split_clause,[],[f181,f325,f322,f250,f318]) ).

fof(f181,plain,
    ! [X6] :
      ( hskp9
      | ~ c1_1(X6)
      | ~ ndr1_0
      | hskp10
      | c0_1(X6)
      | c2_1(X6) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f316,plain,
    ( ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f95,f313,f309]) ).

fof(f95,plain,
    ( ~ hskp15
    | ~ c1_1(a1026) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f307,plain,
    ( ~ spl0_16
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f87,f283,f304]) ).

fof(f87,plain,
    ( ~ hskp6
    | ~ c2_1(a1006) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f297,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f240,f295,f292,f288,f250]) ).

fof(f240,plain,
    ! [X113,X114] :
      ( c3_1(X113)
      | c1_1(X114)
      | ~ c1_1(X113)
      | c0_1(X114)
      | hskp3
      | ~ c2_1(X114)
      | ~ ndr1_0
      | c2_1(X113) ),
    inference(duplicate_literal_removal,[],[f9]) ).

fof(f9,plain,
    ! [X113,X114] :
      ( ~ c2_1(X114)
      | hskp3
      | ~ c1_1(X113)
      | c0_1(X114)
      | c3_1(X113)
      | c2_1(X113)
      | ~ ndr1_0
      | c1_1(X114)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f286,plain,
    ( spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f90,f283,f279]) ).

fof(f90,plain,
    ( ~ hskp6
    | c3_1(a1006) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f277,plain,
    ( ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f18,f274,f270]) ).

fof(f18,plain,
    ( ~ c1_1(a1002)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f256,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f241,f254,f250,f247,f243]) ).

fof(f241,plain,
    ! [X8,X9] :
      ( ~ c0_1(X9)
      | ~ ndr1_0
      | c2_1(X8)
      | ~ c2_1(X9)
      | c1_1(X8)
      | c3_1(X8)
      | hskp27
      | c1_1(X9) ),
    inference(duplicate_literal_removal,[],[f179]) ).

fof(f179,plain,
    ! [X8,X9] :
      ( ~ c0_1(X9)
      | ~ ndr1_0
      | c3_1(X8)
      | c1_1(X8)
      | hskp27
      | ~ c2_1(X9)
      | c2_1(X8)
      | c1_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYN475+1 : TPTP v8.1.0. Released v2.1.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 22:20:01 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.55  % (13828)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.56  % (13827)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.56  % (13844)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.56  % (13836)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.57  % (13836)Instruction limit reached!
% 0.20/0.57  % (13836)------------------------------
% 0.20/0.57  % (13836)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (13843)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.57  % (13835)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.57  % (13835)Instruction limit reached!
% 0.20/0.57  % (13835)------------------------------
% 0.20/0.57  % (13835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (13835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (13835)Termination reason: Unknown
% 0.20/0.57  % (13835)Termination phase: shuffling
% 0.20/0.57  
% 0.20/0.57  % (13835)Memory used [KB]: 1663
% 0.20/0.57  % (13835)Time elapsed: 0.003 s
% 0.20/0.57  % (13835)Instructions burned: 3 (million)
% 0.20/0.57  % (13835)------------------------------
% 0.20/0.57  % (13835)------------------------------
% 0.20/0.59  % (13836)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (13836)Termination reason: Unknown
% 0.20/0.59  % (13836)Termination phase: Saturation
% 0.20/0.59  
% 0.20/0.59  % (13836)Memory used [KB]: 6524
% 0.20/0.59  % (13836)Time elapsed: 0.008 s
% 0.20/0.59  % (13836)Instructions burned: 7 (million)
% 0.20/0.59  % (13836)------------------------------
% 0.20/0.59  % (13836)------------------------------
% 0.20/0.60  % (13824)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.60  % (13823)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.60  % (13823)Instruction limit reached!
% 0.20/0.60  % (13823)------------------------------
% 0.20/0.60  % (13823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (13823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (13823)Termination reason: Unknown
% 0.20/0.60  % (13823)Termination phase: shuffling
% 0.20/0.60  
% 0.20/0.60  % (13823)Memory used [KB]: 1791
% 0.20/0.60  % (13823)Time elapsed: 0.004 s
% 0.20/0.60  % (13823)Instructions burned: 3 (million)
% 0.20/0.60  % (13823)------------------------------
% 0.20/0.60  % (13823)------------------------------
% 0.20/0.61  % (13849)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.61  % (13847)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.61  % (13833)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.61  % (13850)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.61  % (13825)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.61  % (13826)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.62  % (13846)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.62  % (13831)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.62  % (13841)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.62  % (13842)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.62  % (13821)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.62  % (13840)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.62  % (13839)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.62  % (13822)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.63  % (13828)Instruction limit reached!
% 0.20/0.63  % (13828)------------------------------
% 0.20/0.63  % (13828)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.63  % (13839)Instruction limit reached!
% 0.20/0.63  % (13839)------------------------------
% 0.20/0.63  % (13839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.63  % (13834)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.63  % (13828)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.63  % (13828)Termination reason: Unknown
% 0.20/0.63  % (13828)Termination phase: Saturation
% 0.20/0.63  
% 0.20/0.63  % (13828)Memory used [KB]: 7547
% 0.20/0.63  % (13828)Time elapsed: 0.189 s
% 0.20/0.63  % (13828)Instructions burned: 39 (million)
% 0.20/0.63  % (13828)------------------------------
% 0.20/0.63  % (13828)------------------------------
% 0.20/0.63  % (13827)Instruction limit reached!
% 0.20/0.63  % (13827)------------------------------
% 0.20/0.63  % (13827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.63  % (13838)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.63  % (13849)Instruction limit reached!
% 0.20/0.63  % (13849)------------------------------
% 0.20/0.63  % (13849)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.63  % (13849)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.63  % (13849)Termination reason: Unknown
% 0.20/0.63  % (13849)Termination phase: Saturation
% 0.20/0.63  
% 0.20/0.63  % (13849)Memory used [KB]: 6652
% 0.20/0.63  % (13849)Time elapsed: 0.009 s
% 0.20/0.63  % (13849)Instructions burned: 9 (million)
% 0.20/0.63  % (13849)------------------------------
% 0.20/0.63  % (13849)------------------------------
% 0.20/0.63  % (13838)Instruction limit reached!
% 0.20/0.63  % (13838)------------------------------
% 0.20/0.63  % (13838)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.63  % (13838)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.63  % (13838)Termination reason: Unknown
% 0.20/0.63  % (13838)Termination phase: Preprocessing 2
% 0.20/0.63  
% 0.20/0.63  % (13838)Memory used [KB]: 1663
% 0.20/0.63  % (13838)Time elapsed: 0.004 s
% 0.20/0.63  % (13838)Instructions burned: 3 (million)
% 0.20/0.63  % (13838)------------------------------
% 0.20/0.63  % (13838)------------------------------
% 0.20/0.63  % (13845)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.63  % (13832)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.63  % (13827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.63  % (13827)Termination reason: Unknown
% 0.20/0.63  % (13827)Termination phase: Saturation
% 0.20/0.63  
% 0.20/0.63  % (13827)Memory used [KB]: 7291
% 0.20/0.63  % (13827)Time elapsed: 0.189 s
% 0.20/0.63  % (13827)Instructions burned: 39 (million)
% 0.20/0.63  % (13827)------------------------------
% 0.20/0.63  % (13827)------------------------------
% 0.20/0.64  % (13839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.64  % (13839)Termination reason: Unknown
% 0.20/0.64  % (13839)Termination phase: shuffling
% 0.20/0.64  
% 0.20/0.64  % (13839)Memory used [KB]: 1663
% 0.20/0.64  % (13839)Time elapsed: 0.004 s
% 0.20/0.64  % (13839)Instructions burned: 3 (million)
% 0.20/0.64  % (13839)------------------------------
% 0.20/0.64  % (13839)------------------------------
% 0.20/0.64  % (13830)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.64  % (13826)Instruction limit reached!
% 0.20/0.64  % (13826)------------------------------
% 0.20/0.64  % (13826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.64  % (13826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.64  % (13826)Termination reason: Unknown
% 0.20/0.64  % (13826)Termination phase: Saturation
% 0.20/0.64  
% 0.20/0.64  % (13826)Memory used [KB]: 1918
% 0.20/0.64  % (13826)Time elapsed: 0.198 s
% 0.20/0.64  % (13826)Instructions burned: 15 (million)
% 0.20/0.64  % (13826)------------------------------
% 0.20/0.64  % (13826)------------------------------
% 0.20/0.64  % (13848)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.64  % (13843)First to succeed.
% 2.01/0.64  % (13831)Instruction limit reached!
% 2.01/0.64  % (13831)------------------------------
% 2.01/0.64  % (13831)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.64  % (13831)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.64  % (13831)Termination reason: Unknown
% 2.01/0.64  % (13831)Termination phase: Saturation
% 2.01/0.64  
% 2.01/0.64  % (13831)Memory used [KB]: 6908
% 2.01/0.64  % (13831)Time elapsed: 0.216 s
% 2.01/0.64  % (13831)Instructions burned: 13 (million)
% 2.01/0.64  % (13831)------------------------------
% 2.01/0.64  % (13831)------------------------------
% 2.01/0.64  % (13829)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 2.01/0.64  % (13844)Instruction limit reached!
% 2.01/0.64  % (13844)------------------------------
% 2.01/0.64  % (13844)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.64  % (13844)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.64  % (13844)Termination reason: Unknown
% 2.01/0.64  % (13844)Termination phase: Saturation
% 2.01/0.64  
% 2.01/0.64  % (13844)Memory used [KB]: 2174
% 2.01/0.64  % (13844)Time elapsed: 0.222 s
% 2.01/0.64  % (13844)Instructions burned: 46 (million)
% 2.01/0.64  % (13844)------------------------------
% 2.01/0.64  % (13844)------------------------------
% 2.01/0.64  % (13837)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.01/0.65  % (13825)Instruction limit reached!
% 2.01/0.65  % (13825)------------------------------
% 2.01/0.65  % (13825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.65  % (13825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.65  % (13825)Termination reason: Unknown
% 2.01/0.65  % (13825)Termination phase: Saturation
% 2.01/0.65  
% 2.01/0.65  % (13825)Memory used [KB]: 6780
% 2.01/0.65  % (13825)Time elapsed: 0.223 s
% 2.01/0.65  % (13825)Instructions burned: 14 (million)
% 2.01/0.65  % (13825)------------------------------
% 2.01/0.65  % (13825)------------------------------
% 2.01/0.65  % (13832)Instruction limit reached!
% 2.01/0.65  % (13832)------------------------------
% 2.01/0.65  % (13832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.65  % (13832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.65  % (13832)Termination reason: Unknown
% 2.01/0.65  % (13832)Termination phase: Saturation
% 2.01/0.65  
% 2.01/0.65  % (13832)Memory used [KB]: 6524
% 2.01/0.65  % (13832)Time elapsed: 0.009 s
% 2.01/0.65  % (13832)Instructions burned: 8 (million)
% 2.01/0.65  % (13832)------------------------------
% 2.01/0.65  % (13832)------------------------------
% 2.01/0.65  % (13822)Instruction limit reached!
% 2.01/0.65  % (13822)------------------------------
% 2.01/0.65  % (13822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.65  % (13822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.65  % (13822)Termination reason: Unknown
% 2.01/0.65  % (13822)Termination phase: Saturation
% 2.01/0.65  
% 2.01/0.65  % (13822)Memory used [KB]: 6908
% 2.01/0.65  % (13822)Time elapsed: 0.009 s
% 2.01/0.65  % (13822)Instructions burned: 14 (million)
% 2.01/0.65  % (13822)------------------------------
% 2.01/0.65  % (13822)------------------------------
% 2.36/0.66  % (13833)Instruction limit reached!
% 2.36/0.66  % (13833)------------------------------
% 2.36/0.66  % (13833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.66  % (13833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.66  % (13833)Termination reason: Unknown
% 2.36/0.66  % (13833)Termination phase: Saturation
% 2.36/0.66  
% 2.36/0.66  % (13833)Memory used [KB]: 2046
% 2.36/0.66  % (13833)Time elapsed: 0.234 s
% 2.36/0.66  % (13833)Instructions burned: 16 (million)
% 2.36/0.66  % (13833)------------------------------
% 2.36/0.66  % (13833)------------------------------
% 2.41/0.67  % (13840)Instruction limit reached!
% 2.41/0.67  % (13840)------------------------------
% 2.41/0.67  % (13840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.67  % (13840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.67  % (13840)Termination reason: Unknown
% 2.41/0.67  % (13840)Termination phase: Saturation
% 2.41/0.67  
% 2.41/0.67  % (13840)Memory used [KB]: 6780
% 2.41/0.67  % (13840)Time elapsed: 0.242 s
% 2.41/0.67  % (13840)Instructions burned: 11 (million)
% 2.41/0.67  % (13840)------------------------------
% 2.41/0.67  % (13840)------------------------------
% 2.41/0.67  % (13841)Instruction limit reached!
% 2.41/0.67  % (13841)------------------------------
% 2.41/0.67  % (13841)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.67  % (13841)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.67  % (13841)Termination reason: Unknown
% 2.41/0.67  % (13841)Termination phase: Saturation
% 2.41/0.67  
% 2.41/0.67  % (13841)Memory used [KB]: 7164
% 2.41/0.67  % (13841)Time elapsed: 0.233 s
% 2.41/0.67  % (13841)Instructions burned: 30 (million)
% 2.41/0.67  % (13841)------------------------------
% 2.41/0.67  % (13841)------------------------------
% 2.41/0.67  % (13850)Instruction limit reached!
% 2.41/0.67  % (13850)------------------------------
% 2.41/0.67  % (13850)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.67  % (13850)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.67  % (13850)Termination reason: Unknown
% 2.41/0.67  % (13850)Termination phase: Saturation
% 2.41/0.67  
% 2.41/0.67  % (13850)Memory used [KB]: 6780
% 2.41/0.67  % (13850)Time elapsed: 0.253 s
% 2.41/0.67  % (13850)Instructions burned: 25 (million)
% 2.41/0.67  % (13850)------------------------------
% 2.41/0.67  % (13850)------------------------------
% 2.41/0.67  % (13830)Instruction limit reached!
% 2.41/0.67  % (13830)------------------------------
% 2.41/0.67  % (13830)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.67  % (13830)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.67  % (13830)Termination reason: Unknown
% 2.41/0.67  % (13830)Termination phase: Saturation
% 2.41/0.67  
% 2.41/0.67  % (13830)Memory used [KB]: 7291
% 2.41/0.67  % (13830)Time elapsed: 0.191 s
% 2.41/0.67  % (13830)Instructions burned: 34 (million)
% 2.41/0.67  % (13830)------------------------------
% 2.41/0.67  % (13830)------------------------------
% 2.41/0.69  % (13848)Instruction limit reached!
% 2.41/0.69  % (13848)------------------------------
% 2.41/0.69  % (13848)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.69  % (13848)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.69  % (13848)Termination reason: Unknown
% 2.41/0.69  % (13848)Termination phase: Saturation
% 2.41/0.69  
% 2.41/0.69  % (13848)Memory used [KB]: 7036
% 2.41/0.69  % (13848)Time elapsed: 0.232 s
% 2.41/0.69  % (13848)Instructions burned: 26 (million)
% 2.41/0.69  % (13848)------------------------------
% 2.41/0.69  % (13848)------------------------------
% 2.41/0.69  % (13843)Refutation found. Thanks to Tanya!
% 2.41/0.69  % SZS status Theorem for theBenchmark
% 2.41/0.69  % SZS output start Proof for theBenchmark
% See solution above
% 2.41/0.70  % (13843)------------------------------
% 2.41/0.70  % (13843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.70  % (13843)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.70  % (13843)Termination reason: Refutation
% 2.41/0.70  
% 2.41/0.70  % (13843)Memory used [KB]: 8187
% 2.41/0.70  % (13843)Time elapsed: 0.214 s
% 2.41/0.70  % (13843)Instructions burned: 41 (million)
% 2.41/0.70  % (13843)------------------------------
% 2.41/0.70  % (13843)------------------------------
% 2.41/0.70  % (13820)Success in time 0.35 s
%------------------------------------------------------------------------------