TSTP Solution File: SYN471+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN471+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : 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 19:38:17 EDT 2022

% Result   : Theorem 2.77s 0.73s
% Output   : Refutation 2.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :  187
% Syntax   : Number of formulae    :  728 (   1 unt;   0 def)
%            Number of atoms       : 7591 (   0 equ)
%            Maximal formula atoms :  718 (  10 avg)
%            Number of connectives : 10474 (3611   ~;4824   |;1393   &)
%                                         ( 186 <=>; 460  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  113 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  224 ( 223 usr; 220 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   : 1064 (1064   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2779,plain,
    $false,
    inference(avatar_sat_refutation,[],[f370,f403,f425,f433,f442,f450,f459,f464,f481,f493,f507,f524,f532,f555,f562,f572,f593,f598,f620,f625,f635,f640,f653,f666,f685,f699,f708,f719,f728,f745,f762,f767,f783,f800,f809,f830,f835,f840,f848,f853,f868,f885,f893,f898,f904,f909,f914,f915,f916,f927,f928,f929,f935,f950,f956,f961,f972,f986,f990,f995,f1000,f1006,f1007,f1013,f1019,f1029,f1034,f1036,f1037,f1047,f1052,f1059,f1065,f1069,f1079,f1084,f1089,f1094,f1096,f1097,f1102,f1103,f1113,f1123,f1128,f1133,f1148,f1153,f1165,f1169,f1175,f1185,f1203,f1210,f1215,f1219,f1230,f1236,f1241,f1246,f1261,f1266,f1277,f1282,f1298,f1303,f1314,f1319,f1320,f1325,f1330,f1331,f1336,f1337,f1338,f1343,f1344,f1345,f1350,f1355,f1356,f1361,f1366,f1367,f1372,f1380,f1386,f1387,f1392,f1397,f1404,f1407,f1412,f1417,f1425,f1442,f1453,f1458,f1466,f1477,f1478,f1487,f1510,f1518,f1522,f1529,f1565,f1591,f1594,f1601,f1623,f1625,f1640,f1641,f1643,f1646,f1652,f1670,f1687,f1688,f1702,f1713,f1714,f1731,f1732,f1735,f1755,f1803,f1819,f1835,f1856,f1877,f1921,f1923,f1931,f2019,f2020,f2029,f2048,f2049,f2069,f2097,f2137,f2152,f2154,f2170,f2172,f2175,f2188,f2299,f2313,f2314,f2316,f2342,f2350,f2435,f2436,f2460,f2574,f2575,f2644,f2682,f2726,f2775,f2778]) ).

fof(f2778,plain,
    ( ~ spl52_187
    | ~ spl52_112
    | spl52_149
    | ~ spl52_178 ),
    inference(avatar_split_clause,[],[f2763,f1217,f1049,f850,f1263]) ).

fof(f1263,plain,
    ( spl52_187
  <=> c3_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_187])]) ).

fof(f850,plain,
    ( spl52_112
  <=> c2_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_112])]) ).

fof(f1049,plain,
    ( spl52_149
  <=> c1_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_149])]) ).

fof(f1217,plain,
    ( spl52_178
  <=> ! [X31] :
        ( ~ c3_1(X31)
        | ~ c2_1(X31)
        | c1_1(X31) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_178])]) ).

fof(f2763,plain,
    ( ~ c2_1(a599)
    | ~ c3_1(a599)
    | spl52_149
    | ~ spl52_178 ),
    inference(resolution,[],[f1218,f1051]) ).

fof(f1051,plain,
    ( ~ c1_1(a599)
    | spl52_149 ),
    inference(avatar_component_clause,[],[f1049]) ).

fof(f1218,plain,
    ( ! [X31] :
        ( c1_1(X31)
        | ~ c2_1(X31)
        | ~ c3_1(X31) )
    | ~ spl52_178 ),
    inference(avatar_component_clause,[],[f1217]) ).

fof(f2775,plain,
    ( spl52_24
    | ~ spl52_59
    | ~ spl52_178 ),
    inference(avatar_split_clause,[],[f2774,f1217,f604,f448]) ).

fof(f448,plain,
    ( spl52_24
  <=> ! [X55] :
        ( c0_1(X55)
        | ~ c3_1(X55)
        | ~ c2_1(X55) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_24])]) ).

fof(f604,plain,
    ( spl52_59
  <=> ! [X48] :
        ( ~ c1_1(X48)
        | ~ c3_1(X48)
        | c0_1(X48) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_59])]) ).

fof(f2774,plain,
    ( ! [X4] :
        ( ~ c3_1(X4)
        | c0_1(X4)
        | ~ c2_1(X4) )
    | ~ spl52_59
    | ~ spl52_178 ),
    inference(duplicate_literal_removal,[],[f2759]) ).

fof(f2759,plain,
    ( ! [X4] :
        ( ~ c3_1(X4)
        | c0_1(X4)
        | ~ c2_1(X4)
        | ~ c3_1(X4) )
    | ~ spl52_59
    | ~ spl52_178 ),
    inference(resolution,[],[f1218,f605]) ).

fof(f605,plain,
    ( ! [X48] :
        ( ~ c1_1(X48)
        | c0_1(X48)
        | ~ c3_1(X48) )
    | ~ spl52_59 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f2726,plain,
    ( spl52_24
    | ~ spl52_59
    | ~ spl52_138 ),
    inference(avatar_split_clause,[],[f2721,f988,f604,f448]) ).

fof(f988,plain,
    ( spl52_138
  <=> ! [X21] :
        ( c0_1(X21)
        | c1_1(X21)
        | ~ c2_1(X21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_138])]) ).

fof(f2721,plain,
    ( ! [X4] :
        ( ~ c3_1(X4)
        | ~ c2_1(X4)
        | c0_1(X4) )
    | ~ spl52_59
    | ~ spl52_138 ),
    inference(duplicate_literal_removal,[],[f2707]) ).

fof(f2707,plain,
    ( ! [X4] :
        ( ~ c3_1(X4)
        | ~ c2_1(X4)
        | c0_1(X4)
        | c0_1(X4) )
    | ~ spl52_59
    | ~ spl52_138 ),
    inference(resolution,[],[f989,f605]) ).

fof(f989,plain,
    ( ! [X21] :
        ( c1_1(X21)
        | c0_1(X21)
        | ~ c2_1(X21) )
    | ~ spl52_138 ),
    inference(avatar_component_clause,[],[f988]) ).

fof(f2682,plain,
    ( ~ spl52_200
    | ~ spl52_209
    | ~ spl52_101
    | ~ spl52_120 ),
    inference(avatar_split_clause,[],[f2679,f891,f797,f1394,f1333]) ).

fof(f1333,plain,
    ( spl52_200
  <=> c0_1(a618) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_200])]) ).

fof(f1394,plain,
    ( spl52_209
  <=> c3_1(a618) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_209])]) ).

fof(f797,plain,
    ( spl52_101
  <=> c1_1(a618) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_101])]) ).

fof(f891,plain,
    ( spl52_120
  <=> ! [X14] :
        ( ~ c0_1(X14)
        | ~ c3_1(X14)
        | ~ c1_1(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_120])]) ).

fof(f2679,plain,
    ( ~ c3_1(a618)
    | ~ c0_1(a618)
    | ~ spl52_101
    | ~ spl52_120 ),
    inference(resolution,[],[f892,f799]) ).

fof(f799,plain,
    ( c1_1(a618)
    | ~ spl52_101 ),
    inference(avatar_component_clause,[],[f797]) ).

fof(f892,plain,
    ( ! [X14] :
        ( ~ c1_1(X14)
        | ~ c0_1(X14)
        | ~ c3_1(X14) )
    | ~ spl52_120 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f2644,plain,
    ( ~ spl52_47
    | spl52_223
    | ~ spl52_59
    | ~ spl52_205 ),
    inference(avatar_split_clause,[],[f2640,f1363,f604,f1598,f548]) ).

fof(f548,plain,
    ( spl52_47
  <=> c3_1(a595) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_47])]) ).

fof(f1598,plain,
    ( spl52_223
  <=> c0_1(a595) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_223])]) ).

fof(f1363,plain,
    ( spl52_205
  <=> c1_1(a595) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_205])]) ).

fof(f2640,plain,
    ( c0_1(a595)
    | ~ c3_1(a595)
    | ~ spl52_59
    | ~ spl52_205 ),
    inference(resolution,[],[f605,f1365]) ).

fof(f1365,plain,
    ( c1_1(a595)
    | ~ spl52_205 ),
    inference(avatar_component_clause,[],[f1363]) ).

fof(f2575,plain,
    ( spl52_34
    | ~ spl52_42
    | ~ spl52_111 ),
    inference(avatar_split_clause,[],[f2572,f846,f526,f491]) ).

fof(f491,plain,
    ( spl52_34
  <=> ! [X30] :
        ( c3_1(X30)
        | ~ c0_1(X30)
        | c2_1(X30) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_34])]) ).

fof(f526,plain,
    ( spl52_42
  <=> ! [X32] :
        ( c2_1(X32)
        | ~ c1_1(X32)
        | c3_1(X32) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_42])]) ).

fof(f846,plain,
    ( spl52_111
  <=> ! [X16] :
        ( c1_1(X16)
        | c3_1(X16)
        | ~ c0_1(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_111])]) ).

fof(f2572,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c2_1(X2)
        | ~ c0_1(X2) )
    | ~ spl52_42
    | ~ spl52_111 ),
    inference(duplicate_literal_removal,[],[f2547]) ).

fof(f2547,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | ~ c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) )
    | ~ spl52_42
    | ~ spl52_111 ),
    inference(resolution,[],[f847,f527]) ).

fof(f527,plain,
    ( ! [X32] :
        ( ~ c1_1(X32)
        | c2_1(X32)
        | c3_1(X32) )
    | ~ spl52_42 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f847,plain,
    ( ! [X16] :
        ( c1_1(X16)
        | ~ c0_1(X16)
        | c3_1(X16) )
    | ~ spl52_111 ),
    inference(avatar_component_clause,[],[f846]) ).

fof(f2574,plain,
    ( spl52_34
    | ~ spl52_71
    | ~ spl52_111 ),
    inference(avatar_split_clause,[],[f2573,f846,f659,f491]) ).

fof(f659,plain,
    ( spl52_71
  <=> ! [X36] :
        ( c2_1(X36)
        | ~ c0_1(X36)
        | ~ c1_1(X36) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_71])]) ).

fof(f2573,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl52_71
    | ~ spl52_111 ),
    inference(duplicate_literal_removal,[],[f2546]) ).

fof(f2546,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl52_71
    | ~ spl52_111 ),
    inference(resolution,[],[f847,f660]) ).

fof(f660,plain,
    ( ! [X36] :
        ( ~ c1_1(X36)
        | ~ c0_1(X36)
        | c2_1(X36) )
    | ~ spl52_71 ),
    inference(avatar_component_clause,[],[f659]) ).

fof(f2460,plain,
    ( ~ spl52_122
    | ~ spl52_218
    | ~ spl52_52
    | spl52_189 ),
    inference(avatar_split_clause,[],[f2459,f1274,f574,f1483,f901]) ).

fof(f901,plain,
    ( spl52_122
  <=> c0_1(a594) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_122])]) ).

fof(f1483,plain,
    ( spl52_218
  <=> c2_1(a594) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_218])]) ).

fof(f574,plain,
    ( spl52_52
  <=> ! [X111] :
        ( ~ c0_1(X111)
        | ~ c2_1(X111)
        | c3_1(X111) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_52])]) ).

fof(f1274,plain,
    ( spl52_189
  <=> c3_1(a594) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_189])]) ).

fof(f2459,plain,
    ( ~ c2_1(a594)
    | ~ c0_1(a594)
    | ~ spl52_52
    | spl52_189 ),
    inference(resolution,[],[f1276,f575]) ).

fof(f575,plain,
    ( ! [X111] :
        ( c3_1(X111)
        | ~ c2_1(X111)
        | ~ c0_1(X111) )
    | ~ spl52_52 ),
    inference(avatar_component_clause,[],[f574]) ).

fof(f1276,plain,
    ( ~ c3_1(a594)
    | spl52_189 ),
    inference(avatar_component_clause,[],[f1274]) ).

fof(f2436,plain,
    ( ~ spl52_187
    | ~ spl52_217
    | ~ spl52_100
    | spl52_149 ),
    inference(avatar_split_clause,[],[f2412,f1049,f793,f1474,f1263]) ).

fof(f1474,plain,
    ( spl52_217
  <=> c0_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_217])]) ).

fof(f793,plain,
    ( spl52_100
  <=> ! [X4] :
        ( c1_1(X4)
        | ~ c3_1(X4)
        | ~ c0_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_100])]) ).

fof(f2412,plain,
    ( ~ c0_1(a599)
    | ~ c3_1(a599)
    | ~ spl52_100
    | spl52_149 ),
    inference(resolution,[],[f794,f1051]) ).

fof(f794,plain,
    ( ! [X4] :
        ( c1_1(X4)
        | ~ c0_1(X4)
        | ~ c3_1(X4) )
    | ~ spl52_100 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f2435,plain,
    ( ~ spl52_130
    | ~ spl52_47
    | ~ spl52_105
    | ~ spl52_205 ),
    inference(avatar_split_clause,[],[f2432,f1363,f815,f548,f947]) ).

fof(f947,plain,
    ( spl52_130
  <=> c2_1(a595) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_130])]) ).

fof(f815,plain,
    ( spl52_105
  <=> ! [X100] :
        ( ~ c3_1(X100)
        | ~ c1_1(X100)
        | ~ c2_1(X100) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_105])]) ).

fof(f2432,plain,
    ( ~ c3_1(a595)
    | ~ c2_1(a595)
    | ~ spl52_105
    | ~ spl52_205 ),
    inference(resolution,[],[f816,f1365]) ).

fof(f816,plain,
    ( ! [X100] :
        ( ~ c1_1(X100)
        | ~ c2_1(X100)
        | ~ c3_1(X100) )
    | ~ spl52_105 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f2350,plain,
    ( spl52_226
    | spl52_159
    | spl52_94
    | ~ spl52_98 ),
    inference(avatar_split_clause,[],[f2259,f785,f764,f1110,f1728]) ).

fof(f1728,plain,
    ( spl52_226
  <=> c0_1(a609) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_226])]) ).

fof(f1110,plain,
    ( spl52_159
  <=> c3_1(a609) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_159])]) ).

fof(f764,plain,
    ( spl52_94
  <=> c1_1(a609) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_94])]) ).

fof(f785,plain,
    ( spl52_98
  <=> ! [X44] :
        ( c3_1(X44)
        | c1_1(X44)
        | c0_1(X44) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_98])]) ).

fof(f2259,plain,
    ( c3_1(a609)
    | c0_1(a609)
    | spl52_94
    | ~ spl52_98 ),
    inference(resolution,[],[f786,f766]) ).

fof(f766,plain,
    ( ~ c1_1(a609)
    | spl52_94 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f786,plain,
    ( ! [X44] :
        ( c1_1(X44)
        | c0_1(X44)
        | c3_1(X44) )
    | ~ spl52_98 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f2342,plain,
    ( ~ spl52_233
    | ~ spl52_212
    | ~ spl52_52
    | spl52_172 ),
    inference(avatar_split_clause,[],[f2328,f1182,f574,f1414,f1988]) ).

fof(f1988,plain,
    ( spl52_233
  <=> c0_1(a597) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_233])]) ).

fof(f1414,plain,
    ( spl52_212
  <=> c2_1(a597) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_212])]) ).

fof(f1182,plain,
    ( spl52_172
  <=> c3_1(a597) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_172])]) ).

fof(f2328,plain,
    ( ~ c2_1(a597)
    | ~ c0_1(a597)
    | ~ spl52_52
    | spl52_172 ),
    inference(resolution,[],[f575,f1184]) ).

fof(f1184,plain,
    ( ~ c3_1(a597)
    | spl52_172 ),
    inference(avatar_component_clause,[],[f1182]) ).

fof(f2316,plain,
    ( spl52_24
    | ~ spl52_18
    | ~ spl52_105 ),
    inference(avatar_split_clause,[],[f2310,f815,f423,f448]) ).

fof(f423,plain,
    ( spl52_18
  <=> ! [X54] :
        ( c0_1(X54)
        | c1_1(X54)
        | ~ c3_1(X54) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_18])]) ).

fof(f2310,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl52_18
    | ~ spl52_105 ),
    inference(duplicate_literal_removal,[],[f2304]) ).

fof(f2304,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1)
        | ~ c3_1(X1) )
    | ~ spl52_18
    | ~ spl52_105 ),
    inference(resolution,[],[f816,f424]) ).

fof(f424,plain,
    ( ! [X54] :
        ( c1_1(X54)
        | c0_1(X54)
        | ~ c3_1(X54) )
    | ~ spl52_18 ),
    inference(avatar_component_clause,[],[f423]) ).

fof(f2314,plain,
    ( ~ spl52_148
    | ~ spl52_216
    | ~ spl52_105
    | ~ spl52_183 ),
    inference(avatar_split_clause,[],[f2306,f1243,f815,f1455,f1044]) ).

fof(f1044,plain,
    ( spl52_148
  <=> c2_1(a604) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_148])]) ).

fof(f1455,plain,
    ( spl52_216
  <=> c3_1(a604) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_216])]) ).

fof(f1243,plain,
    ( spl52_183
  <=> c1_1(a604) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_183])]) ).

fof(f2306,plain,
    ( ~ c3_1(a604)
    | ~ c2_1(a604)
    | ~ spl52_105
    | ~ spl52_183 ),
    inference(resolution,[],[f816,f1245]) ).

fof(f1245,plain,
    ( c1_1(a604)
    | ~ spl52_183 ),
    inference(avatar_component_clause,[],[f1243]) ).

fof(f2313,plain,
    ( ~ spl52_229
    | ~ spl52_209
    | ~ spl52_101
    | ~ spl52_105 ),
    inference(avatar_split_clause,[],[f2308,f815,f797,f1394,f1816]) ).

fof(f1816,plain,
    ( spl52_229
  <=> c2_1(a618) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_229])]) ).

fof(f2308,plain,
    ( ~ c3_1(a618)
    | ~ c2_1(a618)
    | ~ spl52_101
    | ~ spl52_105 ),
    inference(resolution,[],[f816,f799]) ).

fof(f2299,plain,
    ( spl52_40
    | ~ spl52_29
    | ~ spl52_100 ),
    inference(avatar_split_clause,[],[f2295,f793,f470,f518]) ).

fof(f518,plain,
    ( spl52_40
  <=> ! [X92] :
        ( ~ c3_1(X92)
        | ~ c0_1(X92)
        | ~ c2_1(X92) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_40])]) ).

fof(f470,plain,
    ( spl52_29
  <=> ! [X106] :
        ( ~ c2_1(X106)
        | ~ c1_1(X106)
        | ~ c0_1(X106) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_29])]) ).

fof(f2295,plain,
    ( ! [X4] :
        ( ~ c3_1(X4)
        | ~ c2_1(X4)
        | ~ c0_1(X4) )
    | ~ spl52_29
    | ~ spl52_100 ),
    inference(duplicate_literal_removal,[],[f2276]) ).

fof(f2276,plain,
    ( ! [X4] :
        ( ~ c3_1(X4)
        | ~ c2_1(X4)
        | ~ c0_1(X4)
        | ~ c0_1(X4) )
    | ~ spl52_29
    | ~ spl52_100 ),
    inference(resolution,[],[f794,f471]) ).

fof(f471,plain,
    ( ! [X106] :
        ( ~ c1_1(X106)
        | ~ c0_1(X106)
        | ~ c2_1(X106) )
    | ~ spl52_29 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f2188,plain,
    ( spl52_24
    | ~ spl52_6
    | ~ spl52_18 ),
    inference(avatar_split_clause,[],[f2187,f423,f372,f448]) ).

fof(f372,plain,
    ( spl52_6
  <=> ! [X52] :
        ( ~ c1_1(X52)
        | c0_1(X52)
        | ~ c2_1(X52) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_6])]) ).

fof(f2187,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl52_6
    | ~ spl52_18 ),
    inference(duplicate_literal_removal,[],[f2182]) ).

fof(f2182,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0)
        | c0_1(X0) )
    | ~ spl52_6
    | ~ spl52_18 ),
    inference(resolution,[],[f373,f424]) ).

fof(f373,plain,
    ( ! [X52] :
        ( ~ c1_1(X52)
        | ~ c2_1(X52)
        | c0_1(X52) )
    | ~ spl52_6 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f2175,plain,
    ( ~ spl52_220
    | spl52_211
    | ~ spl52_34
    | spl52_206 ),
    inference(avatar_split_clause,[],[f2129,f1369,f491,f1409,f1525]) ).

fof(f1525,plain,
    ( spl52_220
  <=> c0_1(a690) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_220])]) ).

fof(f1409,plain,
    ( spl52_211
  <=> c2_1(a690) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_211])]) ).

fof(f1369,plain,
    ( spl52_206
  <=> c3_1(a690) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_206])]) ).

fof(f2129,plain,
    ( c2_1(a690)
    | ~ c0_1(a690)
    | ~ spl52_34
    | spl52_206 ),
    inference(resolution,[],[f492,f1371]) ).

fof(f1371,plain,
    ( ~ c3_1(a690)
    | spl52_206 ),
    inference(avatar_component_clause,[],[f1369]) ).

fof(f492,plain,
    ( ! [X30] :
        ( c3_1(X30)
        | c2_1(X30)
        | ~ c0_1(X30) )
    | ~ spl52_34 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f2172,plain,
    ( spl52_172
    | spl52_233
    | ~ spl52_5
    | ~ spl52_166 ),
    inference(avatar_split_clause,[],[f2161,f1145,f368,f1988,f1182]) ).

fof(f368,plain,
    ( spl52_5
  <=> ! [X42] :
        ( c3_1(X42)
        | ~ c1_1(X42)
        | c0_1(X42) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_5])]) ).

fof(f1145,plain,
    ( spl52_166
  <=> c1_1(a597) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_166])]) ).

fof(f2161,plain,
    ( c0_1(a597)
    | c3_1(a597)
    | ~ spl52_5
    | ~ spl52_166 ),
    inference(resolution,[],[f369,f1147]) ).

fof(f1147,plain,
    ( c1_1(a597)
    | ~ spl52_166 ),
    inference(avatar_component_clause,[],[f1145]) ).

fof(f369,plain,
    ( ! [X42] :
        ( ~ c1_1(X42)
        | c3_1(X42)
        | c0_1(X42) )
    | ~ spl52_5 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f2170,plain,
    ( spl52_85
    | spl52_221
    | ~ spl52_5
    | ~ spl52_202 ),
    inference(avatar_split_clause,[],[f2163,f1347,f368,f1562,f725]) ).

fof(f725,plain,
    ( spl52_85
  <=> c3_1(a614) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_85])]) ).

fof(f1562,plain,
    ( spl52_221
  <=> c0_1(a614) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_221])]) ).

fof(f1347,plain,
    ( spl52_202
  <=> c1_1(a614) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_202])]) ).

fof(f2163,plain,
    ( c0_1(a614)
    | c3_1(a614)
    | ~ spl52_5
    | ~ spl52_202 ),
    inference(resolution,[],[f369,f1349]) ).

fof(f1349,plain,
    ( c1_1(a614)
    | ~ spl52_202 ),
    inference(avatar_component_clause,[],[f1347]) ).

fof(f2154,plain,
    ( ~ spl52_187
    | spl52_217
    | ~ spl52_18
    | spl52_149 ),
    inference(avatar_split_clause,[],[f2153,f1049,f423,f1474,f1263]) ).

fof(f2153,plain,
    ( c0_1(a599)
    | ~ c3_1(a599)
    | ~ spl52_18
    | spl52_149 ),
    inference(resolution,[],[f1051,f424]) ).

fof(f2152,plain,
    ( spl52_221
    | spl52_127
    | spl52_85
    | ~ spl52_87 ),
    inference(avatar_split_clause,[],[f2146,f734,f725,f932,f1562]) ).

fof(f932,plain,
    ( spl52_127
  <=> c2_1(a614) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_127])]) ).

fof(f734,plain,
    ( spl52_87
  <=> ! [X46] :
        ( c0_1(X46)
        | c3_1(X46)
        | c2_1(X46) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_87])]) ).

fof(f2146,plain,
    ( c2_1(a614)
    | c0_1(a614)
    | spl52_85
    | ~ spl52_87 ),
    inference(resolution,[],[f735,f727]) ).

fof(f727,plain,
    ( ~ c3_1(a614)
    | spl52_85 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f735,plain,
    ( ! [X46] :
        ( c3_1(X46)
        | c0_1(X46)
        | c2_1(X46) )
    | ~ spl52_87 ),
    inference(avatar_component_clause,[],[f734]) ).

fof(f2137,plain,
    ( ~ spl52_176
    | ~ spl52_79
    | ~ spl52_40
    | ~ spl52_227 ),
    inference(avatar_split_clause,[],[f2136,f1800,f518,f696,f1207]) ).

fof(f1207,plain,
    ( spl52_176
  <=> c0_1(a615) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_176])]) ).

fof(f696,plain,
    ( spl52_79
  <=> c2_1(a615) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_79])]) ).

fof(f1800,plain,
    ( spl52_227
  <=> c3_1(a615) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_227])]) ).

fof(f2136,plain,
    ( ~ c2_1(a615)
    | ~ c0_1(a615)
    | ~ spl52_40
    | ~ spl52_227 ),
    inference(resolution,[],[f1802,f519]) ).

fof(f519,plain,
    ( ! [X92] :
        ( ~ c3_1(X92)
        | ~ c0_1(X92)
        | ~ c2_1(X92) )
    | ~ spl52_40 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f1802,plain,
    ( c3_1(a615)
    | ~ spl52_227 ),
    inference(avatar_component_clause,[],[f1800]) ).

fof(f2097,plain,
    ( ~ spl52_229
    | ~ spl52_200
    | ~ spl52_40
    | ~ spl52_209 ),
    inference(avatar_split_clause,[],[f2094,f1394,f518,f1333,f1816]) ).

fof(f2094,plain,
    ( ~ c0_1(a618)
    | ~ c2_1(a618)
    | ~ spl52_40
    | ~ spl52_209 ),
    inference(resolution,[],[f519,f1396]) ).

fof(f1396,plain,
    ( c3_1(a618)
    | ~ spl52_209 ),
    inference(avatar_component_clause,[],[f1394]) ).

fof(f2069,plain,
    ( ~ spl52_203
    | spl52_193
    | ~ spl52_18
    | spl52_207 ),
    inference(avatar_split_clause,[],[f2064,f1377,f423,f1295,f1352]) ).

fof(f1352,plain,
    ( spl52_203
  <=> c3_1(a625) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_203])]) ).

fof(f1295,plain,
    ( spl52_193
  <=> c0_1(a625) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_193])]) ).

fof(f1377,plain,
    ( spl52_207
  <=> c1_1(a625) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_207])]) ).

fof(f2064,plain,
    ( c0_1(a625)
    | ~ c3_1(a625)
    | ~ spl52_18
    | spl52_207 ),
    inference(resolution,[],[f424,f1379]) ).

fof(f1379,plain,
    ( ~ c1_1(a625)
    | spl52_207 ),
    inference(avatar_component_clause,[],[f1377]) ).

fof(f2049,plain,
    ( ~ spl52_212
    | spl52_233
    | ~ spl52_6
    | ~ spl52_166 ),
    inference(avatar_split_clause,[],[f2038,f1145,f372,f1988,f1414]) ).

fof(f2038,plain,
    ( c0_1(a597)
    | ~ c2_1(a597)
    | ~ spl52_6
    | ~ spl52_166 ),
    inference(resolution,[],[f373,f1147]) ).

fof(f2048,plain,
    ( spl52_223
    | ~ spl52_130
    | ~ spl52_6
    | ~ spl52_205 ),
    inference(avatar_split_clause,[],[f2043,f1363,f372,f947,f1598]) ).

fof(f2043,plain,
    ( ~ c2_1(a595)
    | c0_1(a595)
    | ~ spl52_6
    | ~ spl52_205 ),
    inference(resolution,[],[f373,f1365]) ).

fof(f2029,plain,
    ( spl52_127
    | spl52_85
    | ~ spl52_42
    | ~ spl52_202 ),
    inference(avatar_split_clause,[],[f2028,f1347,f526,f725,f932]) ).

fof(f2028,plain,
    ( c3_1(a614)
    | c2_1(a614)
    | ~ spl52_42
    | ~ spl52_202 ),
    inference(resolution,[],[f1349,f527]) ).

fof(f2020,plain,
    ( spl52_52
    | ~ spl52_51
    | ~ spl52_81 ),
    inference(avatar_split_clause,[],[f2018,f706,f569,f574]) ).

fof(f569,plain,
    ( spl52_51
  <=> ! [X11] :
        ( ~ c0_1(X11)
        | ~ c1_1(X11)
        | c3_1(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_51])]) ).

fof(f706,plain,
    ( spl52_81
  <=> ! [X93] :
        ( c3_1(X93)
        | ~ c2_1(X93)
        | c1_1(X93) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_81])]) ).

fof(f2018,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | c3_1(X1) )
    | ~ spl52_51
    | ~ spl52_81 ),
    inference(duplicate_literal_removal,[],[f2003]) ).

fof(f2003,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1)
        | c3_1(X1) )
    | ~ spl52_51
    | ~ spl52_81 ),
    inference(resolution,[],[f707,f570]) ).

fof(f570,plain,
    ( ! [X11] :
        ( ~ c1_1(X11)
        | c3_1(X11)
        | ~ c0_1(X11) )
    | ~ spl52_51 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f707,plain,
    ( ! [X93] :
        ( c1_1(X93)
        | c3_1(X93)
        | ~ c2_1(X93) )
    | ~ spl52_81 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f2019,plain,
    ( spl52_159
    | ~ spl52_198
    | ~ spl52_81
    | spl52_94 ),
    inference(avatar_split_clause,[],[f2012,f764,f706,f1322,f1110]) ).

fof(f1322,plain,
    ( spl52_198
  <=> c2_1(a609) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_198])]) ).

fof(f2012,plain,
    ( ~ c2_1(a609)
    | c3_1(a609)
    | ~ spl52_81
    | spl52_94 ),
    inference(resolution,[],[f707,f766]) ).

fof(f1931,plain,
    ( spl52_190
    | ~ spl52_83
    | ~ spl52_59
    | ~ spl52_154 ),
    inference(avatar_split_clause,[],[f1761,f1081,f604,f716,f1279]) ).

fof(f1279,plain,
    ( spl52_190
  <=> c0_1(a656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_190])]) ).

fof(f716,plain,
    ( spl52_83
  <=> c3_1(a656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_83])]) ).

fof(f1081,plain,
    ( spl52_154
  <=> c1_1(a656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_154])]) ).

fof(f1761,plain,
    ( ~ c3_1(a656)
    | c0_1(a656)
    | ~ spl52_59
    | ~ spl52_154 ),
    inference(resolution,[],[f1083,f605]) ).

fof(f1083,plain,
    ( c1_1(a656)
    | ~ spl52_154 ),
    inference(avatar_component_clause,[],[f1081]) ).

fof(f1923,plain,
    ( spl52_75
    | spl52_214
    | ~ spl52_91
    | spl52_204 ),
    inference(avatar_split_clause,[],[f1910,f1358,f751,f1439,f678]) ).

fof(f678,plain,
    ( spl52_75
  <=> c2_1(a600) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_75])]) ).

fof(f1439,plain,
    ( spl52_214
  <=> c0_1(a600) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_214])]) ).

fof(f751,plain,
    ( spl52_91
  <=> ! [X85] :
        ( c0_1(X85)
        | c1_1(X85)
        | c2_1(X85) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_91])]) ).

fof(f1358,plain,
    ( spl52_204
  <=> c1_1(a600) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_204])]) ).

fof(f1910,plain,
    ( c0_1(a600)
    | c2_1(a600)
    | ~ spl52_91
    | spl52_204 ),
    inference(resolution,[],[f752,f1360]) ).

fof(f1360,plain,
    ( ~ c1_1(a600)
    | spl52_204 ),
    inference(avatar_component_clause,[],[f1358]) ).

fof(f752,plain,
    ( ! [X85] :
        ( c1_1(X85)
        | c2_1(X85)
        | c0_1(X85) )
    | ~ spl52_91 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f1921,plain,
    ( spl52_12
    | spl52_65
    | ~ spl52_91
    | spl52_123 ),
    inference(avatar_split_clause,[],[f1908,f906,f751,f632,f396]) ).

fof(f396,plain,
    ( spl52_12
  <=> c0_1(a598) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_12])]) ).

fof(f632,plain,
    ( spl52_65
  <=> c2_1(a598) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_65])]) ).

fof(f906,plain,
    ( spl52_123
  <=> c1_1(a598) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_123])]) ).

fof(f1908,plain,
    ( c2_1(a598)
    | c0_1(a598)
    | ~ spl52_91
    | spl52_123 ),
    inference(resolution,[],[f752,f908]) ).

fof(f908,plain,
    ( ~ c1_1(a598)
    | spl52_123 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f1877,plain,
    ( ~ spl52_200
    | spl52_229
    | ~ spl52_19
    | ~ spl52_209 ),
    inference(avatar_split_clause,[],[f1870,f1394,f427,f1816,f1333]) ).

fof(f427,plain,
    ( spl52_19
  <=> ! [X12] :
        ( c2_1(X12)
        | ~ c0_1(X12)
        | ~ c3_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_19])]) ).

fof(f1870,plain,
    ( c2_1(a618)
    | ~ c0_1(a618)
    | ~ spl52_19
    | ~ spl52_209 ),
    inference(resolution,[],[f428,f1396]) ).

fof(f428,plain,
    ( ! [X12] :
        ( ~ c3_1(X12)
        | c2_1(X12)
        | ~ c0_1(X12) )
    | ~ spl52_19 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f1856,plain,
    ( spl52_75
    | ~ spl52_214
    | ~ spl52_89
    | spl52_204 ),
    inference(avatar_split_clause,[],[f1847,f1358,f743,f1439,f678]) ).

fof(f743,plain,
    ( spl52_89
  <=> ! [X13] :
        ( ~ c0_1(X13)
        | c1_1(X13)
        | c2_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_89])]) ).

fof(f1847,plain,
    ( ~ c0_1(a600)
    | c2_1(a600)
    | ~ spl52_89
    | spl52_204 ),
    inference(resolution,[],[f744,f1360]) ).

fof(f744,plain,
    ( ! [X13] :
        ( c1_1(X13)
        | ~ c0_1(X13)
        | c2_1(X13) )
    | ~ spl52_89 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f1835,plain,
    ( spl52_220
    | spl52_211
    | ~ spl52_87
    | spl52_206 ),
    inference(avatar_split_clause,[],[f1832,f1369,f734,f1409,f1525]) ).

fof(f1832,plain,
    ( c2_1(a690)
    | c0_1(a690)
    | ~ spl52_87
    | spl52_206 ),
    inference(resolution,[],[f735,f1371]) ).

fof(f1819,plain,
    ( ~ spl52_200
    | ~ spl52_229
    | ~ spl52_29
    | ~ spl52_101 ),
    inference(avatar_split_clause,[],[f1814,f797,f470,f1816,f1333]) ).

fof(f1814,plain,
    ( ~ c2_1(a618)
    | ~ c0_1(a618)
    | ~ spl52_29
    | ~ spl52_101 ),
    inference(resolution,[],[f799,f471]) ).

fof(f1803,plain,
    ( spl52_227
    | ~ spl52_79
    | ~ spl52_81
    | spl52_194 ),
    inference(avatar_split_clause,[],[f1792,f1300,f706,f696,f1800]) ).

fof(f1300,plain,
    ( spl52_194
  <=> c1_1(a615) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_194])]) ).

fof(f1792,plain,
    ( ~ c2_1(a615)
    | c3_1(a615)
    | ~ spl52_81
    | spl52_194 ),
    inference(resolution,[],[f707,f1302]) ).

fof(f1302,plain,
    ( ~ c1_1(a615)
    | spl52_194 ),
    inference(avatar_component_clause,[],[f1300]) ).

fof(f1755,plain,
    ( spl52_226
    | ~ spl52_198
    | ~ spl52_67
    | spl52_159 ),
    inference(avatar_split_clause,[],[f1746,f1110,f642,f1322,f1728]) ).

fof(f642,plain,
    ( spl52_67
  <=> ! [X8] :
        ( ~ c2_1(X8)
        | c3_1(X8)
        | c0_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_67])]) ).

fof(f1746,plain,
    ( ~ c2_1(a609)
    | c0_1(a609)
    | ~ spl52_67
    | spl52_159 ),
    inference(resolution,[],[f643,f1112]) ).

fof(f1112,plain,
    ( ~ c3_1(a609)
    | spl52_159 ),
    inference(avatar_component_clause,[],[f1110]) ).

fof(f643,plain,
    ( ! [X8] :
        ( c3_1(X8)
        | c0_1(X8)
        | ~ c2_1(X8) )
    | ~ spl52_67 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f1735,plain,
    ( spl52_190
    | ~ spl52_225
    | ~ spl52_6
    | ~ spl52_154 ),
    inference(avatar_split_clause,[],[f1705,f1081,f372,f1649,f1279]) ).

fof(f1649,plain,
    ( spl52_225
  <=> c2_1(a656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_225])]) ).

fof(f1705,plain,
    ( ~ c2_1(a656)
    | c0_1(a656)
    | ~ spl52_6
    | ~ spl52_154 ),
    inference(resolution,[],[f373,f1083]) ).

fof(f1732,plain,
    ( ~ spl52_146
    | ~ spl52_141
    | spl52_26
    | ~ spl52_52 ),
    inference(avatar_split_clause,[],[f1719,f574,f456,f1003,f1031]) ).

fof(f1031,plain,
    ( spl52_146
  <=> c0_1(a605) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_146])]) ).

fof(f1003,plain,
    ( spl52_141
  <=> c2_1(a605) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_141])]) ).

fof(f456,plain,
    ( spl52_26
  <=> c3_1(a605) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_26])]) ).

fof(f1719,plain,
    ( ~ c2_1(a605)
    | ~ c0_1(a605)
    | spl52_26
    | ~ spl52_52 ),
    inference(resolution,[],[f575,f458]) ).

fof(f458,plain,
    ( ~ c3_1(a605)
    | spl52_26 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f1731,plain,
    ( ~ spl52_226
    | ~ spl52_198
    | ~ spl52_52
    | spl52_159 ),
    inference(avatar_split_clause,[],[f1720,f1110,f574,f1322,f1728]) ).

fof(f1720,plain,
    ( ~ c2_1(a609)
    | ~ c0_1(a609)
    | ~ spl52_52
    | spl52_159 ),
    inference(resolution,[],[f575,f1112]) ).

fof(f1714,plain,
    ( spl52_150
    | spl52_215
    | ~ spl52_55
    | ~ spl52_182 ),
    inference(avatar_split_clause,[],[f1709,f1238,f587,f1447,f1056]) ).

fof(f1056,plain,
    ( spl52_150
  <=> c2_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_150])]) ).

fof(f1447,plain,
    ( spl52_215
  <=> c0_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_215])]) ).

fof(f587,plain,
    ( spl52_55
  <=> ! [X62] :
        ( c0_1(X62)
        | ~ c1_1(X62)
        | c2_1(X62) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_55])]) ).

fof(f1238,plain,
    ( spl52_182
  <=> c1_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_182])]) ).

fof(f1709,plain,
    ( c0_1(a651)
    | c2_1(a651)
    | ~ spl52_55
    | ~ spl52_182 ),
    inference(resolution,[],[f588,f1240]) ).

fof(f1240,plain,
    ( c1_1(a651)
    | ~ spl52_182 ),
    inference(avatar_component_clause,[],[f1238]) ).

fof(f588,plain,
    ( ! [X62] :
        ( ~ c1_1(X62)
        | c2_1(X62)
        | c0_1(X62) )
    | ~ spl52_55 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f1713,plain,
    ( spl52_225
    | spl52_190
    | ~ spl52_55
    | ~ spl52_154 ),
    inference(avatar_split_clause,[],[f1710,f1081,f587,f1279,f1649]) ).

fof(f1710,plain,
    ( c0_1(a656)
    | c2_1(a656)
    | ~ spl52_55
    | ~ spl52_154 ),
    inference(resolution,[],[f588,f1083]) ).

fof(f1702,plain,
    ( ~ spl52_214
    | spl52_75
    | ~ spl52_19
    | ~ spl52_142 ),
    inference(avatar_split_clause,[],[f1692,f1010,f427,f678,f1439]) ).

fof(f1010,plain,
    ( spl52_142
  <=> c3_1(a600) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_142])]) ).

fof(f1692,plain,
    ( c2_1(a600)
    | ~ c0_1(a600)
    | ~ spl52_19
    | ~ spl52_142 ),
    inference(resolution,[],[f428,f1012]) ).

fof(f1012,plain,
    ( c3_1(a600)
    | ~ spl52_142 ),
    inference(avatar_component_clause,[],[f1010]) ).

fof(f1688,plain,
    ( ~ spl52_186
    | spl52_161
    | ~ spl52_34
    | spl52_137 ),
    inference(avatar_split_clause,[],[f1683,f983,f491,f1120,f1258]) ).

fof(f1258,plain,
    ( spl52_186
  <=> c0_1(a627) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_186])]) ).

fof(f1120,plain,
    ( spl52_161
  <=> c2_1(a627) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_161])]) ).

fof(f983,plain,
    ( spl52_137
  <=> c3_1(a627) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_137])]) ).

fof(f1683,plain,
    ( c2_1(a627)
    | ~ c0_1(a627)
    | ~ spl52_34
    | spl52_137 ),
    inference(resolution,[],[f492,f985]) ).

fof(f985,plain,
    ( ~ c3_1(a627)
    | spl52_137 ),
    inference(avatar_component_clause,[],[f983]) ).

fof(f1687,plain,
    ( ~ spl52_221
    | spl52_127
    | ~ spl52_34
    | spl52_85 ),
    inference(avatar_split_clause,[],[f1682,f725,f491,f932,f1562]) ).

fof(f1682,plain,
    ( c2_1(a614)
    | ~ c0_1(a614)
    | ~ spl52_34
    | spl52_85 ),
    inference(resolution,[],[f492,f727]) ).

fof(f1670,plain,
    ( spl52_177
    | spl52_37
    | ~ spl52_5
    | ~ spl52_108 ),
    inference(avatar_split_clause,[],[f1664,f832,f368,f504,f1212]) ).

fof(f1212,plain,
    ( spl52_177
  <=> c3_1(a608) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_177])]) ).

fof(f504,plain,
    ( spl52_37
  <=> c0_1(a608) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_37])]) ).

fof(f832,plain,
    ( spl52_108
  <=> c1_1(a608) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_108])]) ).

fof(f1664,plain,
    ( c0_1(a608)
    | c3_1(a608)
    | ~ spl52_5
    | ~ spl52_108 ),
    inference(resolution,[],[f369,f834]) ).

fof(f834,plain,
    ( c1_1(a608)
    | ~ spl52_108 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f1652,plain,
    ( spl52_190
    | ~ spl52_225
    | ~ spl52_24
    | ~ spl52_83 ),
    inference(avatar_split_clause,[],[f1647,f716,f448,f1649,f1279]) ).

fof(f1647,plain,
    ( ~ c2_1(a656)
    | c0_1(a656)
    | ~ spl52_24
    | ~ spl52_83 ),
    inference(resolution,[],[f718,f449]) ).

fof(f449,plain,
    ( ! [X55] :
        ( ~ c3_1(X55)
        | c0_1(X55)
        | ~ c2_1(X55) )
    | ~ spl52_24 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f718,plain,
    ( c3_1(a656)
    | ~ spl52_83 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f1646,plain,
    ( ~ spl52_130
    | ~ spl52_223
    | ~ spl52_29
    | ~ spl52_205 ),
    inference(avatar_split_clause,[],[f1614,f1363,f470,f1598,f947]) ).

fof(f1614,plain,
    ( ~ c0_1(a595)
    | ~ c2_1(a595)
    | ~ spl52_29
    | ~ spl52_205 ),
    inference(resolution,[],[f1365,f471]) ).

fof(f1643,plain,
    ( ~ spl52_130
    | ~ spl52_223
    | ~ spl52_40
    | ~ spl52_47 ),
    inference(avatar_split_clause,[],[f1595,f548,f518,f1598,f947]) ).

fof(f1595,plain,
    ( ~ c0_1(a595)
    | ~ c2_1(a595)
    | ~ spl52_40
    | ~ spl52_47 ),
    inference(resolution,[],[f550,f519]) ).

fof(f550,plain,
    ( c3_1(a595)
    | ~ spl52_47 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f1641,plain,
    ( ~ spl52_130
    | ~ spl52_40
    | ~ spl52_52
    | ~ spl52_223 ),
    inference(avatar_split_clause,[],[f1636,f1598,f574,f518,f947]) ).

fof(f1636,plain,
    ( ~ c2_1(a595)
    | ~ spl52_40
    | ~ spl52_52
    | ~ spl52_223 ),
    inference(resolution,[],[f1554,f1600]) ).

fof(f1600,plain,
    ( c0_1(a595)
    | ~ spl52_223 ),
    inference(avatar_component_clause,[],[f1598]) ).

fof(f1554,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl52_40
    | ~ spl52_52 ),
    inference(duplicate_literal_removal,[],[f1541]) ).

fof(f1541,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl52_40
    | ~ spl52_52 ),
    inference(resolution,[],[f575,f519]) ).

fof(f1640,plain,
    ( ~ spl52_155
    | ~ spl52_40
    | ~ spl52_52
    | ~ spl52_175 ),
    inference(avatar_split_clause,[],[f1638,f1200,f574,f518,f1086]) ).

fof(f1086,plain,
    ( spl52_155
  <=> c2_1(a672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_155])]) ).

fof(f1200,plain,
    ( spl52_175
  <=> c0_1(a672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_175])]) ).

fof(f1638,plain,
    ( ~ c2_1(a672)
    | ~ spl52_40
    | ~ spl52_52
    | ~ spl52_175 ),
    inference(resolution,[],[f1554,f1202]) ).

fof(f1202,plain,
    ( c0_1(a672)
    | ~ spl52_175 ),
    inference(avatar_component_clause,[],[f1200]) ).

fof(f1625,plain,
    ( spl52_127
    | ~ spl52_221
    | ~ spl52_71
    | ~ spl52_202 ),
    inference(avatar_split_clause,[],[f1620,f1347,f659,f1562,f932]) ).

fof(f1620,plain,
    ( ~ c0_1(a614)
    | c2_1(a614)
    | ~ spl52_71
    | ~ spl52_202 ),
    inference(resolution,[],[f660,f1349]) ).

fof(f1623,plain,
    ( spl52_218
    | ~ spl52_122
    | ~ spl52_71
    | ~ spl52_167 ),
    inference(avatar_split_clause,[],[f1617,f1150,f659,f901,f1483]) ).

fof(f1150,plain,
    ( spl52_167
  <=> c1_1(a594) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_167])]) ).

fof(f1617,plain,
    ( ~ c0_1(a594)
    | c2_1(a594)
    | ~ spl52_71
    | ~ spl52_167 ),
    inference(resolution,[],[f660,f1152]) ).

fof(f1152,plain,
    ( c1_1(a594)
    | ~ spl52_167 ),
    inference(avatar_component_clause,[],[f1150]) ).

fof(f1601,plain,
    ( spl52_223
    | ~ spl52_130
    | ~ spl52_24
    | ~ spl52_47 ),
    inference(avatar_split_clause,[],[f1596,f548,f448,f947,f1598]) ).

fof(f1596,plain,
    ( ~ c2_1(a595)
    | c0_1(a595)
    | ~ spl52_24
    | ~ spl52_47 ),
    inference(resolution,[],[f550,f449]) ).

fof(f1594,plain,
    ( spl52_131
    | ~ spl52_115
    | ~ spl52_24
    | ~ spl52_30 ),
    inference(avatar_split_clause,[],[f1593,f474,f448,f865,f953]) ).

fof(f953,plain,
    ( spl52_131
  <=> c0_1(a602) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_131])]) ).

fof(f865,plain,
    ( spl52_115
  <=> c2_1(a602) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_115])]) ).

fof(f474,plain,
    ( spl52_30
  <=> c3_1(a602) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_30])]) ).

fof(f1593,plain,
    ( ~ c2_1(a602)
    | c0_1(a602)
    | ~ spl52_24
    | ~ spl52_30 ),
    inference(resolution,[],[f476,f449]) ).

fof(f476,plain,
    ( c3_1(a602)
    | ~ spl52_30 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f1591,plain,
    ( ~ spl52_148
    | spl52_210
    | ~ spl52_67
    | spl52_216 ),
    inference(avatar_split_clause,[],[f1576,f1455,f642,f1401,f1044]) ).

fof(f1401,plain,
    ( spl52_210
  <=> c0_1(a604) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_210])]) ).

fof(f1576,plain,
    ( c0_1(a604)
    | ~ c2_1(a604)
    | ~ spl52_67
    | spl52_216 ),
    inference(resolution,[],[f643,f1456]) ).

fof(f1456,plain,
    ( ~ c3_1(a604)
    | spl52_216 ),
    inference(avatar_component_clause,[],[f1455]) ).

fof(f1565,plain,
    ( spl52_221
    | spl52_127
    | ~ spl52_55
    | ~ spl52_202 ),
    inference(avatar_split_clause,[],[f1558,f1347,f587,f932,f1562]) ).

fof(f1558,plain,
    ( c2_1(a614)
    | c0_1(a614)
    | ~ spl52_55
    | ~ spl52_202 ),
    inference(resolution,[],[f588,f1349]) ).

fof(f1529,plain,
    ( ~ spl52_122
    | spl52_218
    | ~ spl52_34
    | spl52_189 ),
    inference(avatar_split_clause,[],[f1495,f1274,f491,f1483,f901]) ).

fof(f1495,plain,
    ( c2_1(a594)
    | ~ c0_1(a594)
    | ~ spl52_34
    | spl52_189 ),
    inference(resolution,[],[f492,f1276]) ).

fof(f1522,plain,
    ( ~ spl52_122
    | spl52_189
    | ~ spl52_51
    | ~ spl52_167 ),
    inference(avatar_split_clause,[],[f1519,f1150,f569,f1274,f901]) ).

fof(f1519,plain,
    ( c3_1(a594)
    | ~ c0_1(a594)
    | ~ spl52_51
    | ~ spl52_167 ),
    inference(resolution,[],[f570,f1152]) ).

fof(f1518,plain,
    ( spl52_218
    | spl52_189
    | ~ spl52_42
    | ~ spl52_167 ),
    inference(avatar_split_clause,[],[f1514,f1150,f526,f1274,f1483]) ).

fof(f1514,plain,
    ( c3_1(a594)
    | c2_1(a594)
    | ~ spl52_42
    | ~ spl52_167 ),
    inference(resolution,[],[f527,f1152]) ).

fof(f1510,plain,
    ( ~ spl52_112
    | ~ spl52_217
    | ~ spl52_40
    | ~ spl52_187 ),
    inference(avatar_split_clause,[],[f1506,f1263,f518,f1474,f850]) ).

fof(f1506,plain,
    ( ~ c0_1(a599)
    | ~ c2_1(a599)
    | ~ spl52_40
    | ~ spl52_187 ),
    inference(resolution,[],[f519,f1265]) ).

fof(f1265,plain,
    ( c3_1(a599)
    | ~ spl52_187 ),
    inference(avatar_component_clause,[],[f1263]) ).

fof(f1487,plain,
    ( ~ spl52_124
    | ~ spl52_69
    | ~ spl52_29
    | ~ spl52_109 ),
    inference(avatar_split_clause,[],[f1481,f837,f470,f650,f911]) ).

fof(f911,plain,
    ( spl52_124
  <=> c2_1(a637) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_124])]) ).

fof(f650,plain,
    ( spl52_69
  <=> c0_1(a637) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_69])]) ).

fof(f837,plain,
    ( spl52_109
  <=> c1_1(a637) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_109])]) ).

fof(f1481,plain,
    ( ~ c0_1(a637)
    | ~ c2_1(a637)
    | ~ spl52_29
    | ~ spl52_109 ),
    inference(resolution,[],[f471,f839]) ).

fof(f839,plain,
    ( c1_1(a637)
    | ~ spl52_109 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f1478,plain,
    ( ~ spl52_148
    | spl52_210
    | ~ spl52_24
    | ~ spl52_216 ),
    inference(avatar_split_clause,[],[f1470,f1455,f448,f1401,f1044]) ).

fof(f1470,plain,
    ( c0_1(a604)
    | ~ c2_1(a604)
    | ~ spl52_24
    | ~ spl52_216 ),
    inference(resolution,[],[f449,f1457]) ).

fof(f1457,plain,
    ( c3_1(a604)
    | ~ spl52_216 ),
    inference(avatar_component_clause,[],[f1455]) ).

fof(f1477,plain,
    ( ~ spl52_112
    | spl52_217
    | ~ spl52_24
    | ~ spl52_187 ),
    inference(avatar_split_clause,[],[f1469,f1263,f448,f1474,f850]) ).

fof(f1469,plain,
    ( c0_1(a599)
    | ~ c2_1(a599)
    | ~ spl52_24
    | ~ spl52_187 ),
    inference(resolution,[],[f449,f1265]) ).

fof(f1466,plain,
    ( spl52_150
    | ~ spl52_215
    | ~ spl52_19
    | ~ spl52_126 ),
    inference(avatar_split_clause,[],[f1465,f924,f427,f1447,f1056]) ).

fof(f924,plain,
    ( spl52_126
  <=> c3_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_126])]) ).

fof(f1465,plain,
    ( ~ c0_1(a651)
    | c2_1(a651)
    | ~ spl52_19
    | ~ spl52_126 ),
    inference(resolution,[],[f428,f926]) ).

fof(f926,plain,
    ( c3_1(a651)
    | ~ spl52_126 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f1458,plain,
    ( spl52_210
    | spl52_216
    | ~ spl52_5
    | ~ spl52_183 ),
    inference(avatar_split_clause,[],[f1452,f1243,f368,f1455,f1401]) ).

fof(f1452,plain,
    ( c3_1(a604)
    | c0_1(a604)
    | ~ spl52_5
    | ~ spl52_183 ),
    inference(resolution,[],[f1245,f369]) ).

fof(f1453,plain,
    ( ~ spl52_148
    | spl52_210
    | ~ spl52_6
    | ~ spl52_183 ),
    inference(avatar_split_clause,[],[f1451,f1243,f372,f1401,f1044]) ).

fof(f1451,plain,
    ( c0_1(a604)
    | ~ c2_1(a604)
    | ~ spl52_6
    | ~ spl52_183 ),
    inference(resolution,[],[f1245,f373]) ).

fof(f1442,plain,
    ( spl52_214
    | ~ spl52_142
    | ~ spl52_18
    | spl52_204 ),
    inference(avatar_split_clause,[],[f1429,f1358,f423,f1010,f1439]) ).

fof(f1429,plain,
    ( ~ c3_1(a600)
    | c0_1(a600)
    | ~ spl52_18
    | spl52_204 ),
    inference(resolution,[],[f424,f1360]) ).

fof(f1425,plain,
    ( ~ spl52_126
    | spl52_150
    | ~ spl52_11
    | ~ spl52_182 ),
    inference(avatar_split_clause,[],[f1424,f1238,f392,f1056,f924]) ).

fof(f392,plain,
    ( spl52_11
  <=> ! [X9] :
        ( ~ c1_1(X9)
        | ~ c3_1(X9)
        | c2_1(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_11])]) ).

fof(f1424,plain,
    ( c2_1(a651)
    | ~ c3_1(a651)
    | ~ spl52_11
    | ~ spl52_182 ),
    inference(resolution,[],[f393,f1240]) ).

fof(f393,plain,
    ( ! [X9] :
        ( ~ c1_1(X9)
        | ~ c3_1(X9)
        | c2_1(X9) )
    | ~ spl52_11 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f1417,plain,
    ( ~ spl52_27
    | spl52_212 ),
    inference(avatar_split_clause,[],[f156,f1414,f461]) ).

fof(f461,plain,
    ( spl52_27
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_27])]) ).

fof(f156,plain,
    ( c2_1(a597)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ( hskp28
      | hskp10
      | hskp2 )
    & ( ~ hskp17
      | ( c0_1(a624)
        & c1_1(a624)
        & ndr1_0
        & ~ c2_1(a624) ) )
    & ( hskp25
      | ! [X0] :
          ( c3_1(X0)
          | ~ c2_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( ~ hskp2
      | ( ~ c1_1(a596)
        & ndr1_0
        & ~ c0_1(a596)
        & c2_1(a596) ) )
    & ( ( ~ c2_1(a645)
        & ~ c0_1(a645)
        & c3_1(a645)
        & ndr1_0 )
      | ~ hskp23 )
    & ( hskp31
      | hskp24
      | hskp1 )
    & ( ~ hskp7
      | ( c2_1(a602)
        & ~ c0_1(a602)
        & ndr1_0
        & c3_1(a602) ) )
    & ( hskp28
      | ! [X1] :
          ( c1_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0
          | c0_1(X1) )
      | hskp2 )
    & ( hskp19
      | hskp7
      | ! [X2] :
          ( c1_1(X2)
          | c3_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c3_1(X3)
          | c2_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ ndr1_0
          | ~ c0_1(X4)
          | c1_1(X4) )
      | hskp20 )
    & ( ! [X5] :
          ( ~ c1_1(X5)
          | ~ ndr1_0
          | ~ c0_1(X5)
          | c2_1(X5) )
      | hskp4
      | hskp8 )
    & ( ( c1_1(a651)
        & c3_1(a651)
        & ~ c2_1(a651)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ! [X6] :
          ( c2_1(X6)
          | ~ ndr1_0
          | c1_1(X6)
          | ~ c0_1(X6) )
      | ! [X7] :
          ( c0_1(X7)
          | ~ ndr1_0
          | ~ c1_1(X7)
          | c2_1(X7) )
      | hskp8 )
    & ( ( c2_1(a609)
        & ~ c3_1(a609)
        & ~ c1_1(a609)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ~ hskp8
      | ( ~ c1_1(a603)
        & ndr1_0
        & ~ c2_1(a603)
        & c0_1(a603) ) )
    & ( hskp12
      | ! [X8] :
          ( c3_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0
          | c0_1(X8) )
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ ndr1_0
          | c2_1(X9)
          | ~ c1_1(X9) ) )
    & ( ~ hskp18
      | ( ~ c0_1(a625)
        & c3_1(a625)
        & ndr1_0
        & ~ c1_1(a625) ) )
    & ( hskp21
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ ndr1_0
          | c1_1(X10)
          | ~ c0_1(X10) )
      | ! [X11] :
          ( ~ c0_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0
          | c3_1(X11) ) )
    & ( ( ndr1_0
        & ~ c2_1(a600)
        & c3_1(a600)
        & ~ c1_1(a600) )
      | ~ hskp6 )
    & ( hskp12
      | ! [X12] :
          ( ~ c0_1(X12)
          | ~ ndr1_0
          | ~ c3_1(X12)
          | c2_1(X12) )
      | ! [X13] :
          ( c1_1(X13)
          | ~ ndr1_0
          | ~ c0_1(X13)
          | c2_1(X13) ) )
    & ( ~ hskp15
      | ( ~ c1_1(a619)
        & ~ c3_1(a619)
        & c0_1(a619)
        & ndr1_0 ) )
    & ( ( c2_1(a597)
        & ndr1_0
        & ~ c3_1(a597)
        & c1_1(a597) )
      | ~ hskp3 )
    & ( ( ~ c2_1(a620)
        & ndr1_0
        & c1_1(a620)
        & ~ c0_1(a620) )
      | ~ hskp16 )
    & ( ! [X14] :
          ( ~ ndr1_0
          | ~ c0_1(X14)
          | ~ c3_1(X14)
          | ~ c1_1(X14) )
      | ! [X15] :
          ( c1_1(X15)
          | ~ ndr1_0
          | ~ c2_1(X15)
          | c3_1(X15) )
      | hskp18 )
    & ( ! [X16] :
          ( ~ ndr1_0
          | c3_1(X16)
          | ~ c0_1(X16)
          | c1_1(X16) )
      | hskp11
      | ! [X17] :
          ( ~ c2_1(X17)
          | ~ ndr1_0
          | c3_1(X17)
          | c0_1(X17) ) )
    & ( ! [X18] :
          ( c1_1(X18)
          | c0_1(X18)
          | ~ ndr1_0
          | ~ c3_1(X18) )
      | ! [X19] :
          ( ~ ndr1_0
          | c3_1(X19)
          | ~ c0_1(X19)
          | ~ c1_1(X19) )
      | ! [X20] :
          ( ~ c1_1(X20)
          | ~ ndr1_0
          | c3_1(X20)
          | c0_1(X20) ) )
    & ( ~ hskp30
      | ( c2_1(a637)
        & ndr1_0
        & c1_1(a637)
        & c0_1(a637) ) )
    & ( hskp1
      | ! [X21] :
          ( ~ ndr1_0
          | c0_1(X21)
          | ~ c2_1(X21)
          | c1_1(X21) )
      | ! [X22] :
          ( c1_1(X22)
          | ~ ndr1_0
          | ~ c0_1(X22)
          | ~ c3_1(X22) ) )
    & ( ! [X23] :
          ( c2_1(X23)
          | c3_1(X23)
          | ~ ndr1_0
          | ~ c1_1(X23) )
      | ! [X24] :
          ( ~ c0_1(X24)
          | ~ ndr1_0
          | ~ c1_1(X24)
          | ~ c2_1(X24) )
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c2_1(X25)
          | ~ c3_1(X25)
          | c0_1(X25) ) )
    & ( ~ hskp4
      | ( ~ c0_1(a598)
        & ~ c1_1(a598)
        & ndr1_0
        & ~ c2_1(a598) ) )
    & ( ! [X26] :
          ( ~ ndr1_0
          | ~ c1_1(X26)
          | c0_1(X26)
          | c2_1(X26) )
      | ! [X27] :
          ( ~ c2_1(X27)
          | ~ c1_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X28] :
          ( c2_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0
          | ~ c3_1(X28) )
      | ! [X29] :
          ( c2_1(X29)
          | c1_1(X29)
          | ~ ndr1_0
          | c0_1(X29) )
      | ! [X30] :
          ( c2_1(X30)
          | c3_1(X30)
          | ~ c0_1(X30)
          | ~ ndr1_0 ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a615)
        & c2_1(a615)
        & ~ c1_1(a615) ) )
    & ( ! [X31] :
          ( ~ c2_1(X31)
          | ~ ndr1_0
          | c1_1(X31)
          | ~ c3_1(X31) )
      | hskp12
      | hskp13 )
    & ( ! [X32] :
          ( c2_1(X32)
          | c3_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c2_1(X33)
          | ~ c1_1(X33)
          | ~ c0_1(X33) )
      | ! [X34] :
          ( ~ c3_1(X34)
          | ~ c0_1(X34)
          | ~ c2_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X35] :
          ( ~ c1_1(X35)
          | ~ c2_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c2_1(X36)
          | ~ c1_1(X36)
          | ~ c0_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X37] :
          ( c1_1(X37)
          | c2_1(X37)
          | ~ ndr1_0
          | c3_1(X37) )
      | hskp14 )
    & ( hskp22
      | hskp4
      | ! [X38] :
          ( ~ c0_1(X38)
          | c2_1(X38)
          | ~ ndr1_0
          | ~ c1_1(X38) ) )
    & ( ! [X39] :
          ( c0_1(X39)
          | c1_1(X39)
          | ~ ndr1_0
          | ~ c3_1(X39) )
      | hskp5
      | hskp6 )
    & ( ! [X40] :
          ( ~ c0_1(X40)
          | ~ ndr1_0
          | ~ c2_1(X40)
          | ~ c3_1(X40) )
      | hskp28
      | hskp2 )
    & ( ! [X41] :
          ( ~ c2_1(X41)
          | c3_1(X41)
          | ~ ndr1_0
          | ~ c0_1(X41) )
      | hskp14 )
    & ( hskp5
      | ! [X42] :
          ( ~ ndr1_0
          | c3_1(X42)
          | ~ c1_1(X42)
          | c0_1(X42) )
      | ! [X43] :
          ( ~ ndr1_0
          | c0_1(X43)
          | c3_1(X43)
          | c2_1(X43) ) )
    & ( ( c1_1(a608)
        & ~ c0_1(a608)
        & ~ c3_1(a608)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ! [X44] :
          ( c3_1(X44)
          | ~ ndr1_0
          | c1_1(X44)
          | c0_1(X44) )
      | ! [X45] :
          ( c1_1(X45)
          | ~ ndr1_0
          | c0_1(X45)
          | c2_1(X45) )
      | ! [X46] :
          ( c3_1(X46)
          | c0_1(X46)
          | ~ ndr1_0
          | c2_1(X46) ) )
    & ( ( c0_1(a594)
        & ndr1_0
        & ~ c3_1(a594)
        & c1_1(a594) )
      | ~ hskp1 )
    & ( ~ hskp20
      | ( ~ c2_1(a630)
        & c0_1(a630)
        & c3_1(a630)
        & ndr1_0 ) )
    & ( hskp4
      | hskp21
      | hskp1 )
    & ( ! [X47] :
          ( ~ c2_1(X47)
          | ~ ndr1_0
          | c3_1(X47)
          | ~ c0_1(X47) )
      | hskp4
      | hskp28 )
    & ( ! [X48] :
          ( ~ ndr1_0
          | ~ c1_1(X48)
          | ~ c3_1(X48)
          | c0_1(X48) )
      | hskp8
      | hskp14 )
    & ( ! [X49] :
          ( c3_1(X49)
          | ~ ndr1_0
          | ~ c1_1(X49)
          | ~ c0_1(X49) )
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0
          | ~ c0_1(X50) )
      | hskp24 )
    & ( ~ hskp27
      | ( ~ c3_1(a690)
        & ndr1_0
        & ~ c1_1(a690)
        & ~ c2_1(a690) ) )
    & ( ( ~ c0_1(a667)
        & ~ c3_1(a667)
        & ndr1_0
        & ~ c1_1(a667) )
      | ~ hskp26 )
    & ( hskp10
      | hskp5
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c1_1(X51)
          | c2_1(X51)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c0_1(a672)
        & c2_1(a672)
        & c3_1(a672) )
      | ~ hskp31 )
    & ( ! [X52] :
          ( ~ ndr1_0
          | c0_1(X52)
          | ~ c2_1(X52)
          | ~ c1_1(X52) )
      | ! [X53] :
          ( c2_1(X53)
          | ~ ndr1_0
          | ~ c3_1(X53)
          | ~ c0_1(X53) )
      | hskp13 )
    & ( ! [X54] :
          ( c0_1(X54)
          | c1_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c2_1(X55)
          | c0_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c0_1(X56)
          | c3_1(X56)
          | ~ ndr1_0
          | c2_1(X56) ) )
    & ( ! [X57] :
          ( ~ ndr1_0
          | c3_1(X57)
          | c2_1(X57)
          | c0_1(X57) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c2_1(X58)
          | ~ c1_1(X58)
          | ~ c0_1(X58) )
      | hskp7 )
    & ( ! [X59] :
          ( c3_1(X59)
          | ~ c0_1(X59)
          | ~ ndr1_0
          | c2_1(X59) )
      | hskp30
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c2_1(X60)
          | ~ c0_1(X60)
          | ~ c3_1(X60) ) )
    & ( hskp9
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0
          | ~ c0_1(X61) )
      | ! [X62] :
          ( ~ c1_1(X62)
          | c0_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 ) )
    & ( ! [X63] :
          ( ~ c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0
          | c1_1(X63) )
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ ndr1_0
          | ~ c2_1(X64)
          | c0_1(X64) )
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c0_1(X65)
          | c2_1(X65)
          | ~ c3_1(X65) ) )
    & ( hskp14
      | hskp5
      | ! [X66] :
          ( c1_1(X66)
          | ~ c3_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp3
      | hskp30 )
    & ( hskp13
      | hskp27
      | hskp3 )
    & ( hskp6
      | ! [X67] :
          ( c2_1(X67)
          | ~ c1_1(X67)
          | ~ ndr1_0
          | ~ c3_1(X67) )
      | hskp29 )
    & ( ! [X68] :
          ( c3_1(X68)
          | ~ ndr1_0
          | c2_1(X68)
          | ~ c0_1(X68) )
      | hskp29
      | ! [X69] :
          ( ~ c1_1(X69)
          | ~ ndr1_0
          | c2_1(X69)
          | ~ c0_1(X69) ) )
    & ( hskp25
      | hskp23
      | hskp29 )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c3_1(a605)
        & c0_1(a605)
        & c2_1(a605) ) )
    & ( ! [X70] :
          ( c1_1(X70)
          | ~ c2_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c2_1(X71)
          | ~ c1_1(X71)
          | ~ ndr1_0
          | ~ c0_1(X71) )
      | hskp12 )
    & ( ! [X72] :
          ( ~ c2_1(X72)
          | ~ ndr1_0
          | ~ c1_1(X72)
          | ~ c3_1(X72) )
      | ! [X73] :
          ( c0_1(X73)
          | ~ c1_1(X73)
          | ~ ndr1_0
          | ~ c2_1(X73) )
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c1_1(X74)
          | c0_1(X74)
          | ~ c3_1(X74) ) )
    & ( ! [X75] :
          ( ~ c3_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0
          | c1_1(X75) )
      | hskp1
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c1_1(X76)
          | c3_1(X76)
          | c0_1(X76) ) )
    & ( ! [X77] :
          ( c1_1(X77)
          | c3_1(X77)
          | ~ ndr1_0
          | c0_1(X77) )
      | ! [X78] :
          ( ~ c0_1(X78)
          | ~ c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c1_1(X79)
          | c0_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c3_1(a644)
        & ~ c0_1(a644)
        & ~ c2_1(a644) ) )
    & ( hskp15
      | hskp16
      | ! [X80] :
          ( ~ c3_1(X80)
          | ~ c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a595)
        & ndr1_0
        & c1_1(a595)
        & c2_1(a595) )
      | ~ hskp28 )
    & ( ! [X81] :
          ( ~ c3_1(X81)
          | ~ ndr1_0
          | ~ c2_1(X81)
          | c0_1(X81) )
      | ! [X82] :
          ( ~ c1_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0
          | ~ c2_1(X82) )
      | hskp29 )
    & ( ( c3_1(a618)
        & c0_1(a618)
        & c1_1(a618)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c0_1(a631)
        & ~ c1_1(a631)
        & c3_1(a631)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ! [X83] :
          ( ~ c1_1(X83)
          | ~ c2_1(X83)
          | ~ c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c2_1(X84)
          | ~ ndr1_0
          | ~ c1_1(X84)
          | c3_1(X84) )
      | ! [X85] :
          ( c2_1(X85)
          | ~ ndr1_0
          | c0_1(X85)
          | c1_1(X85) ) )
    & ( hskp18
      | hskp17
      | ! [X86] :
          ( c1_1(X86)
          | ~ c3_1(X86)
          | c2_1(X86)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c1_1(a604)
        & c2_1(a604)
        & ~ c0_1(a604) )
      | ~ hskp9 )
    & ( hskp22
      | hskp0
      | ! [X87] :
          ( c3_1(X87)
          | ~ c1_1(X87)
          | ~ ndr1_0
          | ~ c2_1(X87) ) )
    & ( hskp3
      | ! [X88] :
          ( c0_1(X88)
          | c1_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 )
      | hskp4 )
    & ( hskp12
      | hskp9
      | hskp10 )
    & ( ! [X89] :
          ( c3_1(X89)
          | c0_1(X89)
          | ~ ndr1_0
          | ~ c2_1(X89) )
      | hskp28
      | hskp7 )
    & ( ! [X90] :
          ( ~ c1_1(X90)
          | ~ c3_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c2_1(X91)
          | ~ ndr1_0
          | ~ c0_1(X91)
          | ~ c1_1(X91) )
      | hskp14 )
    & ( ! [X92] :
          ( ~ c0_1(X92)
          | ~ c2_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | ~ c2_1(X93)
          | c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0
          | ~ c1_1(X94) ) )
    & ( ~ hskp25
      | ( ~ c0_1(a656)
        & ndr1_0
        & c3_1(a656)
        & c1_1(a656) ) )
    & ( hskp19
      | hskp28
      | ! [X95] :
          ( c2_1(X95)
          | ~ c0_1(X95)
          | c3_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp29
      | ! [X96] :
          ( ~ c2_1(X96)
          | ~ c0_1(X96)
          | ~ c1_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X97] :
          ( ~ c2_1(X97)
          | ~ c1_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | hskp5 )
    & ( hskp23
      | hskp22
      | ! [X98] :
          ( ~ c0_1(X98)
          | ~ ndr1_0
          | ~ c3_1(X98)
          | c2_1(X98) ) )
    & ( ! [X99] :
          ( ~ c0_1(X99)
          | ~ ndr1_0
          | ~ c1_1(X99)
          | c3_1(X99) )
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c1_1(X100)
          | ~ c2_1(X100)
          | ~ c3_1(X100) )
      | hskp17 )
    & ( ( ndr1_0
        & ~ c2_1(a627)
        & ~ c3_1(a627)
        & c0_1(a627) )
      | ~ hskp19 )
    & ( hskp18
      | hskp12
      | hskp10 )
    & ( ( c1_1(a614)
        & ndr1_0
        & ~ c2_1(a614)
        & ~ c3_1(a614) )
      | ~ hskp13 )
    & ( ! [X101] :
          ( c0_1(X101)
          | ~ ndr1_0
          | c2_1(X101)
          | c1_1(X101) )
      | ! [X102] :
          ( c0_1(X102)
          | c1_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c0_1(X103)
          | ~ ndr1_0
          | c3_1(X103)
          | ~ c2_1(X103) ) )
    & ( hskp9
      | hskp24 )
    & ( ! [X104] :
          ( c3_1(X104)
          | c2_1(X104)
          | ~ ndr1_0
          | c0_1(X104) )
      | ! [X105] :
          ( c2_1(X105)
          | ~ ndr1_0
          | c3_1(X105)
          | ~ c0_1(X105) )
      | ! [X106] :
          ( ~ c1_1(X106)
          | ~ c2_1(X106)
          | ~ ndr1_0
          | ~ c0_1(X106) ) )
    & ( hskp10
      | hskp5
      | ! [X107] :
          ( ~ c2_1(X107)
          | ~ ndr1_0
          | c3_1(X107)
          | c0_1(X107) ) )
    & ( ~ hskp5
      | ( c2_1(a599)
        & ndr1_0
        & c3_1(a599)
        & ~ c1_1(a599) ) )
    & ( ! [X108] :
          ( c2_1(X108)
          | ~ ndr1_0
          | ~ c1_1(X108)
          | ~ c3_1(X108) )
      | hskp28
      | ! [X109] :
          ( ~ c1_1(X109)
          | ~ ndr1_0
          | c0_1(X109)
          | c3_1(X109) ) )
    & ( ! [X110] :
          ( ~ ndr1_0
          | c2_1(X110)
          | c0_1(X110)
          | c1_1(X110) )
      | ! [X111] :
          ( ~ c0_1(X111)
          | c3_1(X111)
          | ~ c2_1(X111)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X112] :
          ( c2_1(X112)
          | ~ c1_1(X112)
          | c3_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c3_1(X113)
          | c1_1(X113)
          | ~ c0_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( ~ c2_1(X114)
          | c3_1(X114)
          | ~ c1_1(X114)
          | ~ ndr1_0 ) )
    & ( ~ hskp0
      | ( ndr1_0
        & c2_1(a593)
        & ~ c3_1(a593)
        & ~ c0_1(a593) ) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,plain,
    ( ( hskp28
      | hskp10
      | hskp2 )
    & ( ~ hskp17
      | ( c0_1(a624)
        & c1_1(a624)
        & ndr1_0
        & ~ c2_1(a624) ) )
    & ( hskp25
      | ! [X83] :
          ( c3_1(X83)
          | ~ c2_1(X83)
          | ~ c0_1(X83)
          | ~ ndr1_0 ) )
    & ( ~ hskp2
      | ( ~ c1_1(a596)
        & ndr1_0
        & ~ c0_1(a596)
        & c2_1(a596) ) )
    & ( ( ~ c2_1(a645)
        & ~ c0_1(a645)
        & c3_1(a645)
        & ndr1_0 )
      | ~ hskp23 )
    & ( hskp31
      | hskp24
      | hskp1 )
    & ( ~ hskp7
      | ( c2_1(a602)
        & ~ c0_1(a602)
        & ndr1_0
        & c3_1(a602) ) )
    & ( hskp28
      | ! [X5] :
          ( c1_1(X5)
          | ~ c2_1(X5)
          | ~ ndr1_0
          | c0_1(X5) )
      | hskp2 )
    & ( hskp19
      | hskp7
      | ! [X17] :
          ( c1_1(X17)
          | c3_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 ) )
    & ( ! [X93] :
          ( c3_1(X93)
          | c2_1(X93)
          | ~ c0_1(X93)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c3_1(X92)
          | ~ ndr1_0
          | ~ c0_1(X92)
          | c1_1(X92) )
      | hskp20 )
    & ( ! [X40] :
          ( ~ c1_1(X40)
          | ~ ndr1_0
          | ~ c0_1(X40)
          | c2_1(X40) )
      | hskp4
      | hskp8 )
    & ( ( c1_1(a651)
        & c3_1(a651)
        & ~ c2_1(a651)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ! [X36] :
          ( c2_1(X36)
          | ~ ndr1_0
          | c1_1(X36)
          | ~ c0_1(X36) )
      | ! [X37] :
          ( c0_1(X37)
          | ~ ndr1_0
          | ~ c1_1(X37)
          | c2_1(X37) )
      | hskp8 )
    & ( ( c2_1(a609)
        & ~ c3_1(a609)
        & ~ c1_1(a609)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ~ hskp8
      | ( ~ c1_1(a603)
        & ndr1_0
        & ~ c2_1(a603)
        & c0_1(a603) ) )
    & ( hskp12
      | ! [X95] :
          ( c3_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0
          | c0_1(X95) )
      | ! [X94] :
          ( ~ c3_1(X94)
          | ~ ndr1_0
          | c2_1(X94)
          | ~ c1_1(X94) ) )
    & ( ~ hskp18
      | ( ~ c0_1(a625)
        & c3_1(a625)
        & ndr1_0
        & ~ c1_1(a625) ) )
    & ( hskp21
      | ! [X114] :
          ( ~ c3_1(X114)
          | ~ ndr1_0
          | c1_1(X114)
          | ~ c0_1(X114) )
      | ! [X113] :
          ( ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ ndr1_0
          | c3_1(X113) ) )
    & ( ( ndr1_0
        & ~ c2_1(a600)
        & c3_1(a600)
        & ~ c1_1(a600) )
      | ~ hskp6 )
    & ( hskp12
      | ! [X9] :
          ( ~ c0_1(X9)
          | ~ ndr1_0
          | ~ c3_1(X9)
          | c2_1(X9) )
      | ! [X10] :
          ( c1_1(X10)
          | ~ ndr1_0
          | ~ c0_1(X10)
          | c2_1(X10) ) )
    & ( ~ hskp15
      | ( ~ c1_1(a619)
        & ~ c3_1(a619)
        & c0_1(a619)
        & ndr1_0 ) )
    & ( ( c2_1(a597)
        & ndr1_0
        & ~ c3_1(a597)
        & c1_1(a597) )
      | ~ hskp3 )
    & ( ( ~ c2_1(a620)
        & ndr1_0
        & c1_1(a620)
        & ~ c0_1(a620) )
      | ~ hskp16 )
    & ( ! [X88] :
          ( ~ ndr1_0
          | ~ c0_1(X88)
          | ~ c3_1(X88)
          | ~ c1_1(X88) )
      | ! [X89] :
          ( c1_1(X89)
          | ~ ndr1_0
          | ~ c2_1(X89)
          | c3_1(X89) )
      | hskp18 )
    & ( ! [X26] :
          ( ~ ndr1_0
          | c3_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26) )
      | hskp11
      | ! [X25] :
          ( ~ c2_1(X25)
          | ~ ndr1_0
          | c3_1(X25)
          | c0_1(X25) ) )
    & ( ! [X101] :
          ( c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0
          | ~ c3_1(X101) )
      | ! [X99] :
          ( ~ ndr1_0
          | c3_1(X99)
          | ~ c0_1(X99)
          | ~ c1_1(X99) )
      | ! [X100] :
          ( ~ c1_1(X100)
          | ~ ndr1_0
          | c3_1(X100)
          | c0_1(X100) ) )
    & ( ~ hskp30
      | ( c2_1(a637)
        & ndr1_0
        & c1_1(a637)
        & c0_1(a637) ) )
    & ( hskp1
      | ! [X11] :
          ( ~ ndr1_0
          | c0_1(X11)
          | ~ c2_1(X11)
          | c1_1(X11) )
      | ! [X12] :
          ( c1_1(X12)
          | ~ ndr1_0
          | ~ c0_1(X12)
          | ~ c3_1(X12) ) )
    & ( ! [X106] :
          ( c2_1(X106)
          | c3_1(X106)
          | ~ ndr1_0
          | ~ c1_1(X106) )
      | ! [X105] :
          ( ~ c0_1(X105)
          | ~ ndr1_0
          | ~ c1_1(X105)
          | ~ c2_1(X105) )
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c2_1(X107)
          | ~ c3_1(X107)
          | c0_1(X107) ) )
    & ( ~ hskp4
      | ( ~ c0_1(a598)
        & ~ c1_1(a598)
        & ndr1_0
        & ~ c2_1(a598) ) )
    & ( ! [X3] :
          ( ~ ndr1_0
          | ~ c1_1(X3)
          | c0_1(X3)
          | c2_1(X3) )
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X59] :
          ( c2_1(X59)
          | ~ c0_1(X59)
          | ~ ndr1_0
          | ~ c3_1(X59) )
      | ! [X57] :
          ( c2_1(X57)
          | c1_1(X57)
          | ~ ndr1_0
          | c0_1(X57) )
      | ! [X58] :
          ( c2_1(X58)
          | c3_1(X58)
          | ~ c0_1(X58)
          | ~ ndr1_0 ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a615)
        & c2_1(a615)
        & ~ c1_1(a615) ) )
    & ( ! [X31] :
          ( ~ c2_1(X31)
          | ~ ndr1_0
          | c1_1(X31)
          | ~ c3_1(X31) )
      | hskp12
      | hskp13 )
    & ( ! [X63] :
          ( c2_1(X63)
          | c3_1(X63)
          | ~ c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c2_1(X64)
          | ~ c1_1(X64)
          | ~ c0_1(X64) )
      | ! [X65] :
          ( ~ c3_1(X65)
          | ~ c0_1(X65)
          | ~ c2_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X23] :
          ( ~ c1_1(X23)
          | ~ c2_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c2_1(X22)
          | ~ c1_1(X22)
          | ~ c0_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X21] :
          ( c1_1(X21)
          | c2_1(X21)
          | ~ ndr1_0
          | c3_1(X21) )
      | hskp14 )
    & ( hskp22
      | hskp4
      | ! [X102] :
          ( ~ c0_1(X102)
          | c2_1(X102)
          | ~ ndr1_0
          | ~ c1_1(X102) ) )
    & ( ! [X29] :
          ( c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0
          | ~ c3_1(X29) )
      | hskp5
      | hskp6 )
    & ( ! [X103] :
          ( ~ c0_1(X103)
          | ~ ndr1_0
          | ~ c2_1(X103)
          | ~ c3_1(X103) )
      | hskp28
      | hskp2 )
    & ( ! [X71] :
          ( ~ c2_1(X71)
          | c3_1(X71)
          | ~ ndr1_0
          | ~ c0_1(X71) )
      | hskp14 )
    & ( hskp5
      | ! [X91] :
          ( ~ ndr1_0
          | c3_1(X91)
          | ~ c1_1(X91)
          | c0_1(X91) )
      | ! [X90] :
          ( ~ ndr1_0
          | c0_1(X90)
          | c3_1(X90)
          | c2_1(X90) ) )
    & ( ( c1_1(a608)
        & ~ c0_1(a608)
        & ~ c3_1(a608)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ! [X76] :
          ( c3_1(X76)
          | ~ ndr1_0
          | c1_1(X76)
          | c0_1(X76) )
      | ! [X74] :
          ( c1_1(X74)
          | ~ ndr1_0
          | c0_1(X74)
          | c2_1(X74) )
      | ! [X75] :
          ( c3_1(X75)
          | c0_1(X75)
          | ~ ndr1_0
          | c2_1(X75) ) )
    & ( ( c0_1(a594)
        & ndr1_0
        & ~ c3_1(a594)
        & c1_1(a594) )
      | ~ hskp1 )
    & ( ~ hskp20
      | ( ~ c2_1(a630)
        & c0_1(a630)
        & c3_1(a630)
        & ndr1_0 ) )
    & ( hskp4
      | hskp21
      | hskp1 )
    & ( ! [X30] :
          ( ~ c2_1(X30)
          | ~ ndr1_0
          | c3_1(X30)
          | ~ c0_1(X30) )
      | hskp4
      | hskp28 )
    & ( ! [X46] :
          ( ~ ndr1_0
          | ~ c1_1(X46)
          | ~ c3_1(X46)
          | c0_1(X46) )
      | hskp8
      | hskp14 )
    & ( ! [X32] :
          ( c3_1(X32)
          | ~ ndr1_0
          | ~ c1_1(X32)
          | ~ c0_1(X32) )
      | ! [X33] :
          ( ~ c3_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0
          | ~ c0_1(X33) )
      | hskp24 )
    & ( ~ hskp27
      | ( ~ c3_1(a690)
        & ndr1_0
        & ~ c1_1(a690)
        & ~ c2_1(a690) ) )
    & ( ( ~ c0_1(a667)
        & ~ c3_1(a667)
        & ndr1_0
        & ~ c1_1(a667) )
      | ~ hskp26 )
    & ( hskp10
      | hskp5
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c1_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c0_1(a672)
        & c2_1(a672)
        & c3_1(a672) )
      | ~ hskp31 )
    & ( ! [X35] :
          ( ~ ndr1_0
          | c0_1(X35)
          | ~ c2_1(X35)
          | ~ c1_1(X35) )
      | ! [X34] :
          ( c2_1(X34)
          | ~ ndr1_0
          | ~ c3_1(X34)
          | ~ c0_1(X34) )
      | hskp13 )
    & ( ! [X86] :
          ( c0_1(X86)
          | c1_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c2_1(X84)
          | c0_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c0_1(X85)
          | c3_1(X85)
          | ~ ndr1_0
          | c2_1(X85) ) )
    & ( ! [X72] :
          ( ~ ndr1_0
          | c3_1(X72)
          | c2_1(X72)
          | c0_1(X72) )
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c2_1(X73)
          | ~ c1_1(X73)
          | ~ c0_1(X73) )
      | hskp7 )
    & ( ! [X1] :
          ( c3_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0
          | c2_1(X1) )
      | hskp30
      | ! [X0] :
          ( ~ ndr1_0
          | ~ c2_1(X0)
          | ~ c0_1(X0)
          | ~ c3_1(X0) ) )
    & ( hskp9
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0
          | ~ c0_1(X39) )
      | ! [X38] :
          ( ~ c1_1(X38)
          | c0_1(X38)
          | c2_1(X38)
          | ~ ndr1_0 ) )
    & ( ! [X8] :
          ( ~ c3_1(X8)
          | c0_1(X8)
          | ~ ndr1_0
          | c1_1(X8) )
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ ndr1_0
          | ~ c2_1(X6)
          | c0_1(X6) )
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c0_1(X7)
          | c2_1(X7)
          | ~ c3_1(X7) ) )
    & ( hskp14
      | hskp5
      | ! [X60] :
          ( c1_1(X60)
          | ~ c3_1(X60)
          | ~ c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp3
      | hskp30 )
    & ( hskp13
      | hskp27
      | hskp3 )
    & ( hskp6
      | ! [X112] :
          ( c2_1(X112)
          | ~ c1_1(X112)
          | ~ ndr1_0
          | ~ c3_1(X112) )
      | hskp29 )
    & ( ! [X61] :
          ( c3_1(X61)
          | ~ ndr1_0
          | c2_1(X61)
          | ~ c0_1(X61) )
      | hskp29
      | ! [X62] :
          ( ~ c1_1(X62)
          | ~ ndr1_0
          | c2_1(X62)
          | ~ c0_1(X62) ) )
    & ( hskp25
      | hskp23
      | hskp29 )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c3_1(a605)
        & c0_1(a605)
        & c2_1(a605) ) )
    & ( ! [X110] :
          ( c1_1(X110)
          | ~ c2_1(X110)
          | ~ c0_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c2_1(X111)
          | ~ c1_1(X111)
          | ~ ndr1_0
          | ~ c0_1(X111) )
      | hskp12 )
    & ( ! [X50] :
          ( ~ c2_1(X50)
          | ~ ndr1_0
          | ~ c1_1(X50)
          | ~ c3_1(X50) )
      | ! [X52] :
          ( c0_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0
          | ~ c2_1(X52) )
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c1_1(X51)
          | c0_1(X51)
          | ~ c3_1(X51) ) )
    & ( ! [X27] :
          ( ~ c3_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0
          | c1_1(X27) )
      | hskp1
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c1_1(X28)
          | c3_1(X28)
          | c0_1(X28) ) )
    & ( ! [X55] :
          ( c1_1(X55)
          | c3_1(X55)
          | ~ ndr1_0
          | c0_1(X55) )
      | ! [X54] :
          ( ~ c0_1(X54)
          | ~ c2_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c1_1(X53)
          | c0_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c3_1(a644)
        & ~ c0_1(a644)
        & ~ c2_1(a644) ) )
    & ( hskp15
      | hskp16
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | c0_1(X2)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a595)
        & ndr1_0
        & c1_1(a595)
        & c2_1(a595) )
      | ~ hskp28 )
    & ( ! [X78] :
          ( ~ c3_1(X78)
          | ~ ndr1_0
          | ~ c2_1(X78)
          | c0_1(X78) )
      | ! [X79] :
          ( ~ c1_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0
          | ~ c2_1(X79) )
      | hskp29 )
    & ( ( c3_1(a618)
        & c0_1(a618)
        & c1_1(a618)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c0_1(a631)
        & ~ c1_1(a631)
        & c3_1(a631)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ! [X18] :
          ( ~ c1_1(X18)
          | ~ c2_1(X18)
          | ~ c0_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ ndr1_0
          | ~ c1_1(X19)
          | c3_1(X19) )
      | ! [X20] :
          ( c2_1(X20)
          | ~ ndr1_0
          | c0_1(X20)
          | c1_1(X20) ) )
    & ( hskp18
      | hskp17
      | ! [X87] :
          ( c1_1(X87)
          | ~ c3_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c1_1(a604)
        & c2_1(a604)
        & ~ c0_1(a604) )
      | ~ hskp9 )
    & ( hskp22
      | hskp0
      | ! [X69] :
          ( c3_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0
          | ~ c2_1(X69) ) )
    & ( hskp3
      | ! [X56] :
          ( c0_1(X56)
          | c1_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | hskp4 )
    & ( hskp12
      | hskp9
      | hskp10 )
    & ( ! [X24] :
          ( c3_1(X24)
          | c0_1(X24)
          | ~ ndr1_0
          | ~ c2_1(X24) )
      | hskp28
      | hskp7 )
    & ( ! [X42] :
          ( ~ c1_1(X42)
          | ~ c3_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c2_1(X41)
          | ~ ndr1_0
          | ~ c0_1(X41)
          | ~ c1_1(X41) )
      | hskp14 )
    & ( ! [X14] :
          ( ~ c0_1(X14)
          | ~ c2_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c3_1(X16)
          | ~ c2_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c2_1(X15)
          | c0_1(X15)
          | ~ ndr1_0
          | ~ c1_1(X15) ) )
    & ( ~ hskp25
      | ( ~ c0_1(a656)
        & ndr1_0
        & c3_1(a656)
        & c1_1(a656) ) )
    & ( hskp19
      | hskp28
      | ! [X82] :
          ( c2_1(X82)
          | ~ c0_1(X82)
          | c3_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp29
      | ! [X77] :
          ( ~ c2_1(X77)
          | ~ c0_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X68] :
          ( ~ c2_1(X68)
          | ~ c1_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | hskp5 )
    & ( hskp23
      | hskp22
      | ! [X70] :
          ( ~ c0_1(X70)
          | ~ ndr1_0
          | ~ c3_1(X70)
          | c2_1(X70) ) )
    & ( ! [X109] :
          ( ~ c0_1(X109)
          | ~ ndr1_0
          | ~ c1_1(X109)
          | c3_1(X109) )
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c1_1(X108)
          | ~ c2_1(X108)
          | ~ c3_1(X108) )
      | hskp17 )
    & ( ( ndr1_0
        & ~ c2_1(a627)
        & ~ c3_1(a627)
        & c0_1(a627) )
      | ~ hskp19 )
    & ( hskp18
      | hskp12
      | hskp10 )
    & ( ( c1_1(a614)
        & ndr1_0
        & ~ c2_1(a614)
        & ~ c3_1(a614) )
      | ~ hskp13 )
    & ( ! [X47] :
          ( c0_1(X47)
          | ~ ndr1_0
          | c2_1(X47)
          | c1_1(X47) )
      | ! [X48] :
          ( c0_1(X48)
          | c1_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c0_1(X49)
          | ~ ndr1_0
          | c3_1(X49)
          | ~ c2_1(X49) ) )
    & ( hskp9
      | hskp24 )
    & ( ! [X98] :
          ( c3_1(X98)
          | c2_1(X98)
          | ~ ndr1_0
          | c0_1(X98) )
      | ! [X97] :
          ( c2_1(X97)
          | ~ ndr1_0
          | c3_1(X97)
          | ~ c0_1(X97) )
      | ! [X96] :
          ( ~ c1_1(X96)
          | ~ c2_1(X96)
          | ~ ndr1_0
          | ~ c0_1(X96) ) )
    & ( hskp10
      | hskp5
      | ! [X104] :
          ( ~ c2_1(X104)
          | ~ ndr1_0
          | c3_1(X104)
          | c0_1(X104) ) )
    & ( ~ hskp5
      | ( c2_1(a599)
        & ndr1_0
        & c3_1(a599)
        & ~ c1_1(a599) ) )
    & ( ! [X80] :
          ( c2_1(X80)
          | ~ ndr1_0
          | ~ c1_1(X80)
          | ~ c3_1(X80) )
      | hskp28
      | ! [X81] :
          ( ~ c1_1(X81)
          | ~ ndr1_0
          | c0_1(X81)
          | c3_1(X81) ) )
    & ( ! [X67] :
          ( ~ ndr1_0
          | c2_1(X67)
          | c0_1(X67)
          | c1_1(X67) )
      | ! [X66] :
          ( ~ c0_1(X66)
          | c3_1(X66)
          | ~ c2_1(X66)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X45] :
          ( c2_1(X45)
          | ~ c1_1(X45)
          | c3_1(X45)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c3_1(X44)
          | c1_1(X44)
          | ~ c0_1(X44)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c2_1(X43)
          | c3_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 ) )
    & ( ~ hskp0
      | ( ndr1_0
        & c2_1(a593)
        & ~ c3_1(a593)
        & ~ c0_1(a593) ) ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( ~ hskp27
      | ( ~ c3_1(a690)
        & ndr1_0
        & ~ c1_1(a690)
        & ~ c2_1(a690) ) )
    & ( ~ hskp17
      | ( c0_1(a624)
        & c1_1(a624)
        & ndr1_0
        & ~ c2_1(a624) ) )
    & ( hskp23
      | hskp22
      | ! [X70] :
          ( c2_1(X70)
          | ~ c0_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 ) )
    & ( ! [X53] :
          ( c1_1(X53)
          | c0_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c2_1(X54)
          | ~ c0_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c0_1(X55)
          | c3_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a614)
        & ndr1_0
        & ~ c2_1(a614)
        & ~ c3_1(a614) )
      | ~ hskp13 )
    & ( hskp28
      | hskp10
      | hskp2 )
    & ( ~ hskp7
      | ( c2_1(a602)
        & ~ c0_1(a602)
        & ndr1_0
        & c3_1(a602) ) )
    & ( ! [X15] :
          ( c2_1(X15)
          | ~ c1_1(X15)
          | c0_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c2_1(X16)
          | c3_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c0_1(X14)
          | ~ c3_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c2_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c1_1(X38)
          | c2_1(X38)
          | c0_1(X38)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a608)
        & ~ c0_1(a608)
        & ~ c3_1(a608)
        & ndr1_0 )
      | ~ hskp11 )
    & ( hskp22
      | hskp4
      | ! [X102] :
          ( ~ c0_1(X102)
          | ~ c1_1(X102)
          | c2_1(X102)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X31] :
          ( ~ c2_1(X31)
          | c1_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X26] :
          ( c3_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c3_1(X25)
          | c0_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ( ndr1_0
        & ~ c2_1(a600)
        & c3_1(a600)
        & ~ c1_1(a600) )
      | ~ hskp6 )
    & ( ( ndr1_0
        & c0_1(a672)
        & c2_1(a672)
        & c3_1(a672) )
      | ~ hskp31 )
    & ( hskp7
      | ! [X73] :
          ( ~ c2_1(X73)
          | ~ c0_1(X73)
          | ~ c1_1(X73)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c0_1(X72)
          | c2_1(X72)
          | c3_1(X72)
          | ~ ndr1_0 ) )
    & ( ( ~ c2_1(a645)
        & ~ c0_1(a645)
        & c3_1(a645)
        & ndr1_0 )
      | ~ hskp23 )
    & ( hskp4
      | hskp21
      | hskp1 )
    & ( ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( ~ c0_1(X1)
          | c2_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | hskp30 )
    & ( hskp8
      | ! [X37] :
          ( ~ c1_1(X37)
          | c0_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c0_1(X36)
          | c1_1(X36)
          | c2_1(X36)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c1_1(a604)
        & c2_1(a604)
        & ~ c0_1(a604) )
      | ~ hskp9 )
    & ( ! [X77] :
          ( ~ c0_1(X77)
          | ~ c1_1(X77)
          | ~ c2_1(X77)
          | ~ ndr1_0 )
      | hskp16
      | hskp29 )
    & ( ! [X62] :
          ( c2_1(X62)
          | ~ c1_1(X62)
          | ~ c0_1(X62)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c0_1(X61)
          | c2_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | hskp29 )
    & ( hskp4
      | ! [X30] :
          ( ~ c2_1(X30)
          | c3_1(X30)
          | ~ c0_1(X30)
          | ~ ndr1_0 )
      | hskp28 )
    & ( hskp5
      | hskp14
      | ! [X60] :
          ( c1_1(X60)
          | ~ c0_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp9
      | hskp10 )
    & ( ~ hskp30
      | ( c2_1(a637)
        & ndr1_0
        & c1_1(a637)
        & c0_1(a637) ) )
    & ( ~ hskp2
      | ( ~ c1_1(a596)
        & ndr1_0
        & ~ c0_1(a596)
        & c2_1(a596) ) )
    & ( ! [X90] :
          ( c3_1(X90)
          | c0_1(X90)
          | c2_1(X90)
          | ~ ndr1_0 )
      | hskp5
      | ! [X91] :
          ( c3_1(X91)
          | c0_1(X91)
          | ~ c1_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp5
      | ! [X104] :
          ( c3_1(X104)
          | ~ c2_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c2_1(X66)
          | c3_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c2_1(X67)
          | c0_1(X67)
          | c1_1(X67)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X29] :
          ( ~ c3_1(X29)
          | c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 )
      | hskp6
      | hskp5 )
    & ( ! [X63] :
          ( c2_1(X63)
          | c3_1(X63)
          | ~ c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c0_1(X64)
          | ~ c2_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( ~ c3_1(X86)
          | c1_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c0_1(X84)
          | ~ c3_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c2_1(X85)
          | c0_1(X85)
          | c3_1(X85)
          | ~ ndr1_0 ) )
    & ( ! [X13] :
          ( ~ c1_1(X13)
          | ~ c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 )
      | hskp10
      | hskp5 )
    & ( hskp18
      | hskp12
      | hskp10 )
    & ( ! [X105] :
          ( ~ c2_1(X105)
          | ~ c1_1(X105)
          | ~ c0_1(X105)
          | ~ ndr1_0 )
      | ! [X107] :
          ( ~ c3_1(X107)
          | c0_1(X107)
          | ~ c2_1(X107)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c1_1(X106)
          | c3_1(X106)
          | c2_1(X106)
          | ~ ndr1_0 ) )
    & ( ! [X8] :
          ( c0_1(X8)
          | ~ c3_1(X8)
          | c1_1(X8)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c2_1(X7)
          | ~ c0_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c0_1(X6)
          | ~ c2_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X98] :
          ( c3_1(X98)
          | c0_1(X98)
          | c2_1(X98)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c3_1(X97)
          | c2_1(X97)
          | ~ c0_1(X97)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c2_1(X96)
          | ~ c1_1(X96)
          | ~ c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X40] :
          ( ~ c0_1(X40)
          | ~ c1_1(X40)
          | c2_1(X40)
          | ~ ndr1_0 )
      | hskp8 )
    & ( hskp13
      | ! [X34] :
          ( c2_1(X34)
          | ~ c3_1(X34)
          | ~ c0_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c2_1(X35)
          | c0_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 ) )
    & ( ~ hskp5
      | ( c2_1(a599)
        & ndr1_0
        & c3_1(a599)
        & ~ c1_1(a599) ) )
    & ( ! [X43] :
          ( ~ c1_1(X43)
          | ~ c2_1(X43)
          | c3_1(X43)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c2_1(X45)
          | ~ c1_1(X45)
          | c3_1(X45)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c0_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X114] :
          ( ~ c0_1(X114)
          | c1_1(X114)
          | ~ c3_1(X114)
          | ~ ndr1_0 )
      | ! [X113] :
          ( c3_1(X113)
          | ~ c1_1(X113)
          | ~ c0_1(X113)
          | ~ ndr1_0 )
      | hskp21 )
    & ( hskp14
      | ! [X41] :
          ( ~ c0_1(X41)
          | ~ c2_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c3_1(X42)
          | c0_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 ) )
    & ( ! [X12] :
          ( ~ c3_1(X12)
          | ~ c0_1(X12)
          | c1_1(X12)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X56] :
          ( c1_1(X56)
          | ~ c2_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 )
      | hskp4
      | hskp3 )
    & ( ( ndr1_0
        & ~ c2_1(a627)
        & ~ c3_1(a627)
        & c0_1(a627) )
      | ~ hskp19 )
    & ( hskp26
      | hskp3
      | hskp30 )
    & ( ! [X19] :
          ( c3_1(X19)
          | ~ c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c1_1(X20)
          | c0_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c1_1(X18)
          | ~ c2_1(X18)
          | ~ c0_1(X18)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( ~ c2_1(X89)
          | c3_1(X89)
          | c1_1(X89)
          | ~ ndr1_0 )
      | hskp18
      | ! [X88] :
          ( ~ c3_1(X88)
          | ~ c1_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( ~ c3_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 )
      | hskp12
      | ! [X10] :
          ( c2_1(X10)
          | ~ c0_1(X10)
          | c1_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp28
      | ! [X5] :
          ( c1_1(X5)
          | ~ c2_1(X5)
          | c0_1(X5)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a618)
        & c0_1(a618)
        & c1_1(a618)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ c3_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c0_1(X52)
          | ~ c2_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c2_1(X50)
          | ~ c3_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X21] :
          ( c2_1(X21)
          | c3_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c3_1(a605)
        & c0_1(a605)
        & c2_1(a605) ) )
    & ( ! [X92] :
          ( ~ c3_1(X92)
          | c1_1(X92)
          | ~ c0_1(X92)
          | ~ ndr1_0 )
      | hskp20
      | ! [X93] :
          ( c3_1(X93)
          | ~ c0_1(X93)
          | c2_1(X93)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a597)
        & ndr1_0
        & ~ c3_1(a597)
        & c1_1(a597) )
      | ~ hskp3 )
    & ( ! [X28] :
          ( c3_1(X28)
          | c0_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 )
      | hskp1
      | ! [X27] :
          ( c1_1(X27)
          | ~ c0_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X47] :
          ( c1_1(X47)
          | c0_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c3_1(X49)
          | ~ c2_1(X49)
          | ~ c0_1(X49)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | c1_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X33] :
          ( ~ c3_1(X33)
          | ~ c0_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | c3_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a609)
        & ~ c3_1(a609)
        & ~ c1_1(a609)
        & ndr1_0 )
      | ~ hskp12 )
    & ( hskp28
      | hskp2
      | ! [X103] :
          ( ~ c2_1(X103)
          | ~ c0_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X94] :
          ( ~ c1_1(X94)
          | c2_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | c0_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 ) )
    & ( ! [X81] :
          ( c3_1(X81)
          | c0_1(X81)
          | ~ c1_1(X81)
          | ~ ndr1_0 )
      | hskp28
      | ! [X80] :
          ( c2_1(X80)
          | ~ c3_1(X80)
          | ~ c1_1(X80)
          | ~ ndr1_0 ) )
    & ( ~ hskp18
      | ( ~ c0_1(a625)
        & c3_1(a625)
        & ndr1_0
        & ~ c1_1(a625) ) )
    & ( hskp13
      | hskp27
      | hskp3 )
    & ( ! [X68] :
          ( ~ c3_1(X68)
          | ~ c2_1(X68)
          | ~ c1_1(X68)
          | ~ ndr1_0 )
      | hskp18
      | hskp5 )
    & ( hskp15
      | hskp16
      | ! [X2] :
          ( c0_1(X2)
          | ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X108] :
          ( ~ c3_1(X108)
          | ~ c2_1(X108)
          | ~ c1_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c3_1(X109)
          | ~ c0_1(X109)
          | ~ c1_1(X109)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( c1_1(X17)
          | c3_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | hskp19
      | hskp7 )
    & ( ! [X101] :
          ( c1_1(X101)
          | ~ c3_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c0_1(X99)
          | ~ c1_1(X99)
          | c3_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c1_1(X100)
          | c3_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X87] :
          ( c2_1(X87)
          | ~ c3_1(X87)
          | c1_1(X87)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X22] :
          ( ~ c0_1(X22)
          | ~ c1_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c0_1(X23)
          | ~ c1_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ~ hskp15
      | ( ~ c1_1(a619)
        & ~ c3_1(a619)
        & c0_1(a619)
        & ndr1_0 ) )
    & ( ~ hskp8
      | ( ~ c1_1(a603)
        & ndr1_0
        & ~ c2_1(a603)
        & c0_1(a603) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c3_1(a644)
        & ~ c0_1(a644)
        & ~ c2_1(a644) ) )
    & ( ! [X110] :
          ( ~ c2_1(X110)
          | ~ c0_1(X110)
          | c1_1(X110)
          | ~ ndr1_0 )
      | hskp12
      | ! [X111] :
          ( c2_1(X111)
          | ~ c1_1(X111)
          | ~ c0_1(X111)
          | ~ ndr1_0 ) )
    & ( ( c0_1(a631)
        & ~ c1_1(a631)
        & c3_1(a631)
        & ndr1_0 )
      | ~ hskp21 )
    & ( hskp29
      | ! [X112] :
          ( ~ c1_1(X112)
          | c2_1(X112)
          | ~ c3_1(X112)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ( c3_1(a595)
        & ndr1_0
        & c1_1(a595)
        & c2_1(a595) )
      | ~ hskp28 )
    & ( ( ~ c0_1(a667)
        & ~ c3_1(a667)
        & ndr1_0
        & ~ c1_1(a667) )
      | ~ hskp26 )
    & ( ( c0_1(a594)
        & ndr1_0
        & ~ c3_1(a594)
        & c1_1(a594) )
      | ~ hskp1 )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a615)
        & c2_1(a615)
        & ~ c1_1(a615) ) )
    & ( ! [X58] :
          ( c2_1(X58)
          | ~ c0_1(X58)
          | c3_1(X58)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c2_1(X57)
          | c1_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c0_1(X59)
          | ~ c3_1(X59)
          | c2_1(X59)
          | ~ ndr1_0 ) )
    & ( ~ hskp20
      | ( ~ c2_1(a630)
        & c0_1(a630)
        & c3_1(a630)
        & ndr1_0 ) )
    & ( hskp25
      | hskp23
      | hskp29 )
    & ( ! [X4] :
          ( ~ c1_1(X4)
          | ~ c2_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c2_1(X3)
          | c0_1(X3)
          | ~ c1_1(X3)
          | ~ ndr1_0 )
      | hskp10 )
    & ( hskp14
      | ! [X46] :
          ( c0_1(X46)
          | ~ c1_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | hskp8 )
    & ( hskp25
      | ! [X83] :
          ( ~ c2_1(X83)
          | c3_1(X83)
          | ~ c0_1(X83)
          | ~ ndr1_0 ) )
    & ( ~ hskp4
      | ( ~ c0_1(a598)
        & ~ c1_1(a598)
        & ndr1_0
        & ~ c2_1(a598) ) )
    & ( ! [X24] :
          ( ~ c2_1(X24)
          | c0_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | hskp7
      | hskp28 )
    & ( hskp14
      | ! [X71] :
          ( ~ c2_1(X71)
          | ~ c0_1(X71)
          | c3_1(X71)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a651)
        & c3_1(a651)
        & ~ c2_1(a651)
        & ndr1_0 )
      | ~ hskp24 )
    & ( hskp28
      | ! [X82] :
          ( c3_1(X82)
          | c2_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ( ~ c2_1(a620)
        & ndr1_0
        & c1_1(a620)
        & ~ c0_1(a620) )
      | ~ hskp16 )
    & ( hskp22
      | ! [X69] :
          ( c3_1(X69)
          | ~ c1_1(X69)
          | ~ c2_1(X69)
          | ~ ndr1_0 )
      | hskp0 )
    & ( hskp9
      | hskp24 )
    & ( hskp31
      | hskp24
      | hskp1 )
    & ( ~ hskp25
      | ( ~ c0_1(a656)
        & ndr1_0
        & c3_1(a656)
        & c1_1(a656) ) )
    & ( ~ hskp0
      | ( ndr1_0
        & c2_1(a593)
        & ~ c3_1(a593)
        & ~ c0_1(a593) ) )
    & ( ! [X76] :
          ( c0_1(X76)
          | c1_1(X76)
          | c3_1(X76)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c0_1(X74)
          | c2_1(X74)
          | c1_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c3_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( ! [X78] :
          ( ~ c3_1(X78)
          | ~ c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c0_1(X79)
          | ~ c1_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 )
      | hskp29 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( ~ hskp27
      | ( ~ c3_1(a690)
        & ndr1_0
        & ~ c1_1(a690)
        & ~ c2_1(a690) ) )
    & ( ~ hskp17
      | ( c0_1(a624)
        & c1_1(a624)
        & ndr1_0
        & ~ c2_1(a624) ) )
    & ( hskp23
      | hskp22
      | ! [X70] :
          ( ndr1_0
         => ( c2_1(X70)
            | ~ c0_1(X70)
            | ~ c3_1(X70) ) ) )
    & ( ! [X53] :
          ( ndr1_0
         => ( c1_1(X53)
            | c0_1(X53)
            | ~ c3_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c2_1(X54)
            | ~ c0_1(X54)
            | ~ c3_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c0_1(X55)
            | c3_1(X55)
            | c1_1(X55) ) ) )
    & ( ( c1_1(a614)
        & ndr1_0
        & ~ c2_1(a614)
        & ~ c3_1(a614) )
      | ~ hskp13 )
    & ( hskp28
      | hskp10
      | hskp2 )
    & ( ~ hskp7
      | ( c2_1(a602)
        & ~ c0_1(a602)
        & ndr1_0
        & c3_1(a602) ) )
    & ( ! [X15] :
          ( ndr1_0
         => ( c2_1(X15)
            | ~ c1_1(X15)
            | c0_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c2_1(X16)
            | c3_1(X16)
            | c1_1(X16) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c0_1(X14)
            | ~ c3_1(X14)
            | ~ c2_1(X14) ) ) )
    & ( hskp9
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | ~ c2_1(X39)
            | ~ c0_1(X39) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c1_1(X38)
            | c2_1(X38)
            | c0_1(X38) ) ) )
    & ( ( c1_1(a608)
        & ~ c0_1(a608)
        & ~ c3_1(a608)
        & ndr1_0 )
      | ~ hskp11 )
    & ( hskp22
      | hskp4
      | ! [X102] :
          ( ndr1_0
         => ( ~ c0_1(X102)
            | ~ c1_1(X102)
            | c2_1(X102) ) ) )
    & ( hskp13
      | ! [X31] :
          ( ndr1_0
         => ( ~ c2_1(X31)
            | c1_1(X31)
            | ~ c3_1(X31) ) )
      | hskp12 )
    & ( ! [X26] :
          ( ndr1_0
         => ( c3_1(X26)
            | ~ c0_1(X26)
            | c1_1(X26) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c3_1(X25)
            | c0_1(X25)
            | ~ c2_1(X25) ) )
      | hskp11 )
    & ( ( ndr1_0
        & ~ c2_1(a600)
        & c3_1(a600)
        & ~ c1_1(a600) )
      | ~ hskp6 )
    & ( ( ndr1_0
        & c0_1(a672)
        & c2_1(a672)
        & c3_1(a672) )
      | ~ hskp31 )
    & ( hskp7
      | ! [X73] :
          ( ndr1_0
         => ( ~ c2_1(X73)
            | ~ c0_1(X73)
            | ~ c1_1(X73) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c0_1(X72)
            | c2_1(X72)
            | c3_1(X72) ) ) )
    & ( ( ~ c2_1(a645)
        & ~ c0_1(a645)
        & c3_1(a645)
        & ndr1_0 )
      | ~ hskp23 )
    & ( hskp4
      | hskp21
      | hskp1 )
    & ( ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c0_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( ~ c0_1(X1)
            | c2_1(X1)
            | c3_1(X1) ) )
      | hskp30 )
    & ( hskp8
      | ! [X37] :
          ( ndr1_0
         => ( ~ c1_1(X37)
            | c0_1(X37)
            | c2_1(X37) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c0_1(X36)
            | c1_1(X36)
            | c2_1(X36) ) ) )
    & ( ( ndr1_0
        & c1_1(a604)
        & c2_1(a604)
        & ~ c0_1(a604) )
      | ~ hskp9 )
    & ( ! [X77] :
          ( ndr1_0
         => ( ~ c0_1(X77)
            | ~ c1_1(X77)
            | ~ c2_1(X77) ) )
      | hskp16
      | hskp29 )
    & ( ! [X62] :
          ( ndr1_0
         => ( c2_1(X62)
            | ~ c1_1(X62)
            | ~ c0_1(X62) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c0_1(X61)
            | c2_1(X61)
            | c3_1(X61) ) )
      | hskp29 )
    & ( hskp4
      | ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | c3_1(X30)
            | ~ c0_1(X30) ) )
      | hskp28 )
    & ( hskp5
      | hskp14
      | ! [X60] :
          ( ndr1_0
         => ( c1_1(X60)
            | ~ c0_1(X60)
            | ~ c3_1(X60) ) ) )
    & ( hskp12
      | hskp9
      | hskp10 )
    & ( ~ hskp30
      | ( c2_1(a637)
        & ndr1_0
        & c1_1(a637)
        & c0_1(a637) ) )
    & ( ~ hskp2
      | ( ~ c1_1(a596)
        & ndr1_0
        & ~ c0_1(a596)
        & c2_1(a596) ) )
    & ( ! [X90] :
          ( ndr1_0
         => ( c3_1(X90)
            | c0_1(X90)
            | c2_1(X90) ) )
      | hskp5
      | ! [X91] :
          ( ndr1_0
         => ( c3_1(X91)
            | c0_1(X91)
            | ~ c1_1(X91) ) ) )
    & ( hskp10
      | hskp5
      | ! [X104] :
          ( ndr1_0
         => ( c3_1(X104)
            | ~ c2_1(X104)
            | c0_1(X104) ) ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( ~ c2_1(X66)
            | c3_1(X66)
            | ~ c0_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c2_1(X67)
            | c0_1(X67)
            | c1_1(X67) ) )
      | hskp0 )
    & ( ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | c0_1(X29)
            | c1_1(X29) ) )
      | hskp6
      | hskp5 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c2_1(X63)
            | c3_1(X63)
            | ~ c1_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c0_1(X64)
            | ~ c2_1(X64)
            | ~ c1_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | ~ c3_1(X65)
            | ~ c0_1(X65) ) ) )
    & ( ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | c1_1(X86)
            | c0_1(X86) ) )
      | ! [X84] :
          ( ndr1_0
         => ( c0_1(X84)
            | ~ c3_1(X84)
            | ~ c2_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( c2_1(X85)
            | c0_1(X85)
            | c3_1(X85) ) ) )
    & ( ! [X13] :
          ( ndr1_0
         => ( ~ c1_1(X13)
            | ~ c3_1(X13)
            | c2_1(X13) ) )
      | hskp10
      | hskp5 )
    & ( hskp18
      | hskp12
      | hskp10 )
    & ( ! [X105] :
          ( ndr1_0
         => ( ~ c2_1(X105)
            | ~ c1_1(X105)
            | ~ c0_1(X105) ) )
      | ! [X107] :
          ( ndr1_0
         => ( ~ c3_1(X107)
            | c0_1(X107)
            | ~ c2_1(X107) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c1_1(X106)
            | c3_1(X106)
            | c2_1(X106) ) ) )
    & ( ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | ~ c3_1(X8)
            | c1_1(X8) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c2_1(X7)
            | ~ c0_1(X7)
            | ~ c3_1(X7) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | ~ c2_1(X6)
            | ~ c3_1(X6) ) ) )
    & ( ! [X98] :
          ( ndr1_0
         => ( c3_1(X98)
            | c0_1(X98)
            | c2_1(X98) ) )
      | ! [X97] :
          ( ndr1_0
         => ( c3_1(X97)
            | c2_1(X97)
            | ~ c0_1(X97) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c2_1(X96)
            | ~ c1_1(X96)
            | ~ c0_1(X96) ) ) )
    & ( hskp4
      | ! [X40] :
          ( ndr1_0
         => ( ~ c0_1(X40)
            | ~ c1_1(X40)
            | c2_1(X40) ) )
      | hskp8 )
    & ( hskp13
      | ! [X34] :
          ( ndr1_0
         => ( c2_1(X34)
            | ~ c3_1(X34)
            | ~ c0_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c2_1(X35)
            | c0_1(X35)
            | ~ c1_1(X35) ) ) )
    & ( ~ hskp5
      | ( c2_1(a599)
        & ndr1_0
        & c3_1(a599)
        & ~ c1_1(a599) ) )
    & ( ! [X43] :
          ( ndr1_0
         => ( ~ c1_1(X43)
            | ~ c2_1(X43)
            | c3_1(X43) ) )
      | ! [X45] :
          ( ndr1_0
         => ( c2_1(X45)
            | ~ c1_1(X45)
            | c3_1(X45) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c0_1(X44)
            | c1_1(X44) ) ) )
    & ( ! [X114] :
          ( ndr1_0
         => ( ~ c0_1(X114)
            | c1_1(X114)
            | ~ c3_1(X114) ) )
      | ! [X113] :
          ( ndr1_0
         => ( c3_1(X113)
            | ~ c1_1(X113)
            | ~ c0_1(X113) ) )
      | hskp21 )
    & ( hskp14
      | ! [X41] :
          ( ndr1_0
         => ( ~ c0_1(X41)
            | ~ c2_1(X41)
            | ~ c1_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | c0_1(X42)
            | ~ c1_1(X42) ) ) )
    & ( ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c0_1(X12)
            | c1_1(X12) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c1_1(X11)
            | ~ c2_1(X11) ) )
      | hskp1 )
    & ( ! [X56] :
          ( ndr1_0
         => ( c1_1(X56)
            | ~ c2_1(X56)
            | c0_1(X56) ) )
      | hskp4
      | hskp3 )
    & ( ( ndr1_0
        & ~ c2_1(a627)
        & ~ c3_1(a627)
        & c0_1(a627) )
      | ~ hskp19 )
    & ( hskp26
      | hskp3
      | hskp30 )
    & ( ! [X19] :
          ( ndr1_0
         => ( c3_1(X19)
            | ~ c1_1(X19)
            | ~ c2_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c1_1(X20)
            | c0_1(X20)
            | c2_1(X20) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c1_1(X18)
            | ~ c2_1(X18)
            | ~ c0_1(X18) ) ) )
    & ( ! [X89] :
          ( ndr1_0
         => ( ~ c2_1(X89)
            | c3_1(X89)
            | c1_1(X89) ) )
      | hskp18
      | ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | ~ c1_1(X88)
            | ~ c0_1(X88) ) ) )
    & ( ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c0_1(X9)
            | c2_1(X9) ) )
      | hskp12
      | ! [X10] :
          ( ndr1_0
         => ( c2_1(X10)
            | ~ c0_1(X10)
            | c1_1(X10) ) ) )
    & ( hskp2
      | hskp28
      | ! [X5] :
          ( ndr1_0
         => ( c1_1(X5)
            | ~ c2_1(X5)
            | c0_1(X5) ) ) )
    & ( ( c3_1(a618)
        & c0_1(a618)
        & c1_1(a618)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | ~ c3_1(X51)
            | ~ c1_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | ~ c2_1(X52)
            | ~ c1_1(X52) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | ~ c3_1(X50)
            | ~ c1_1(X50) ) ) )
    & ( hskp4
      | ! [X21] :
          ( ndr1_0
         => ( c2_1(X21)
            | c3_1(X21)
            | c1_1(X21) ) )
      | hskp14 )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c3_1(a605)
        & c0_1(a605)
        & c2_1(a605) ) )
    & ( ! [X92] :
          ( ndr1_0
         => ( ~ c3_1(X92)
            | c1_1(X92)
            | ~ c0_1(X92) ) )
      | hskp20
      | ! [X93] :
          ( ndr1_0
         => ( c3_1(X93)
            | ~ c0_1(X93)
            | c2_1(X93) ) ) )
    & ( ( c2_1(a597)
        & ndr1_0
        & ~ c3_1(a597)
        & c1_1(a597) )
      | ~ hskp3 )
    & ( ! [X28] :
          ( ndr1_0
         => ( c3_1(X28)
            | c0_1(X28)
            | ~ c1_1(X28) ) )
      | hskp1
      | ! [X27] :
          ( ndr1_0
         => ( c1_1(X27)
            | ~ c0_1(X27)
            | ~ c3_1(X27) ) ) )
    & ( ! [X47] :
          ( ndr1_0
         => ( c1_1(X47)
            | c0_1(X47)
            | c2_1(X47) ) )
      | ! [X49] :
          ( ndr1_0
         => ( c3_1(X49)
            | ~ c2_1(X49)
            | ~ c0_1(X49) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | c1_1(X48)
            | c0_1(X48) ) ) )
    & ( hskp24
      | ! [X33] :
          ( ndr1_0
         => ( ~ c3_1(X33)
            | ~ c0_1(X33)
            | ~ c2_1(X33) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c0_1(X32)
            | c3_1(X32)
            | ~ c1_1(X32) ) ) )
    & ( ( c2_1(a609)
        & ~ c3_1(a609)
        & ~ c1_1(a609)
        & ndr1_0 )
      | ~ hskp12 )
    & ( hskp28
      | hskp2
      | ! [X103] :
          ( ndr1_0
         => ( ~ c2_1(X103)
            | ~ c0_1(X103)
            | ~ c3_1(X103) ) ) )
    & ( hskp12
      | ! [X94] :
          ( ndr1_0
         => ( ~ c1_1(X94)
            | c2_1(X94)
            | ~ c3_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( c3_1(X95)
            | c0_1(X95)
            | ~ c2_1(X95) ) ) )
    & ( ! [X81] :
          ( ndr1_0
         => ( c3_1(X81)
            | c0_1(X81)
            | ~ c1_1(X81) ) )
      | hskp28
      | ! [X80] :
          ( ndr1_0
         => ( c2_1(X80)
            | ~ c3_1(X80)
            | ~ c1_1(X80) ) ) )
    & ( ~ hskp18
      | ( ~ c0_1(a625)
        & c3_1(a625)
        & ndr1_0
        & ~ c1_1(a625) ) )
    & ( hskp13
      | hskp27
      | hskp3 )
    & ( ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | ~ c2_1(X68)
            | ~ c1_1(X68) ) )
      | hskp18
      | hskp5 )
    & ( hskp15
      | hskp16
      | ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | ~ c3_1(X2)
            | ~ c2_1(X2) ) ) )
    & ( hskp17
      | ! [X108] :
          ( ndr1_0
         => ( ~ c3_1(X108)
            | ~ c2_1(X108)
            | ~ c1_1(X108) ) )
      | ! [X109] :
          ( ndr1_0
         => ( c3_1(X109)
            | ~ c0_1(X109)
            | ~ c1_1(X109) ) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( c1_1(X17)
            | c3_1(X17)
            | ~ c2_1(X17) ) )
      | hskp19
      | hskp7 )
    & ( ! [X101] :
          ( ndr1_0
         => ( c1_1(X101)
            | ~ c3_1(X101)
            | c0_1(X101) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c0_1(X99)
            | ~ c1_1(X99)
            | c3_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c1_1(X100)
            | c3_1(X100)
            | c0_1(X100) ) ) )
    & ( hskp17
      | ! [X87] :
          ( ndr1_0
         => ( c2_1(X87)
            | ~ c3_1(X87)
            | c1_1(X87) ) )
      | hskp18 )
    & ( ! [X22] :
          ( ndr1_0
         => ( ~ c0_1(X22)
            | ~ c1_1(X22)
            | c2_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c0_1(X23)
            | ~ c1_1(X23)
            | ~ c2_1(X23) ) )
      | hskp18 )
    & ( ~ hskp15
      | ( ~ c1_1(a619)
        & ~ c3_1(a619)
        & c0_1(a619)
        & ndr1_0 ) )
    & ( ~ hskp8
      | ( ~ c1_1(a603)
        & ndr1_0
        & ~ c2_1(a603)
        & c0_1(a603) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c3_1(a644)
        & ~ c0_1(a644)
        & ~ c2_1(a644) ) )
    & ( ! [X110] :
          ( ndr1_0
         => ( ~ c2_1(X110)
            | ~ c0_1(X110)
            | c1_1(X110) ) )
      | hskp12
      | ! [X111] :
          ( ndr1_0
         => ( c2_1(X111)
            | ~ c1_1(X111)
            | ~ c0_1(X111) ) ) )
    & ( ( c0_1(a631)
        & ~ c1_1(a631)
        & c3_1(a631)
        & ndr1_0 )
      | ~ hskp21 )
    & ( hskp29
      | ! [X112] :
          ( ndr1_0
         => ( ~ c1_1(X112)
            | c2_1(X112)
            | ~ c3_1(X112) ) )
      | hskp6 )
    & ( ( c3_1(a595)
        & ndr1_0
        & c1_1(a595)
        & c2_1(a595) )
      | ~ hskp28 )
    & ( ( ~ c0_1(a667)
        & ~ c3_1(a667)
        & ndr1_0
        & ~ c1_1(a667) )
      | ~ hskp26 )
    & ( ( c0_1(a594)
        & ndr1_0
        & ~ c3_1(a594)
        & c1_1(a594) )
      | ~ hskp1 )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a615)
        & c2_1(a615)
        & ~ c1_1(a615) ) )
    & ( ! [X58] :
          ( ndr1_0
         => ( c2_1(X58)
            | ~ c0_1(X58)
            | c3_1(X58) ) )
      | ! [X57] :
          ( ndr1_0
         => ( c2_1(X57)
            | c1_1(X57)
            | c0_1(X57) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c0_1(X59)
            | ~ c3_1(X59)
            | c2_1(X59) ) ) )
    & ( ~ hskp20
      | ( ~ c2_1(a630)
        & c0_1(a630)
        & c3_1(a630)
        & ndr1_0 ) )
    & ( hskp25
      | hskp23
      | hskp29 )
    & ( ! [X4] :
          ( ndr1_0
         => ( ~ c1_1(X4)
            | ~ c2_1(X4)
            | ~ c3_1(X4) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c2_1(X3)
            | c0_1(X3)
            | ~ c1_1(X3) ) )
      | hskp10 )
    & ( hskp14
      | ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | ~ c1_1(X46)
            | ~ c3_1(X46) ) )
      | hskp8 )
    & ( hskp25
      | ! [X83] :
          ( ndr1_0
         => ( ~ c2_1(X83)
            | c3_1(X83)
            | ~ c0_1(X83) ) ) )
    & ( ~ hskp4
      | ( ~ c0_1(a598)
        & ~ c1_1(a598)
        & ndr1_0
        & ~ c2_1(a598) ) )
    & ( ! [X24] :
          ( ndr1_0
         => ( ~ c2_1(X24)
            | c0_1(X24)
            | c3_1(X24) ) )
      | hskp7
      | hskp28 )
    & ( hskp14
      | ! [X71] :
          ( ndr1_0
         => ( ~ c2_1(X71)
            | ~ c0_1(X71)
            | c3_1(X71) ) ) )
    & ( ( c1_1(a651)
        & c3_1(a651)
        & ~ c2_1(a651)
        & ndr1_0 )
      | ~ hskp24 )
    & ( hskp28
      | ! [X82] :
          ( ndr1_0
         => ( c3_1(X82)
            | c2_1(X82)
            | ~ c0_1(X82) ) )
      | hskp19 )
    & ( ( ~ c2_1(a620)
        & ndr1_0
        & c1_1(a620)
        & ~ c0_1(a620) )
      | ~ hskp16 )
    & ( hskp22
      | ! [X69] :
          ( ndr1_0
         => ( c3_1(X69)
            | ~ c1_1(X69)
            | ~ c2_1(X69) ) )
      | hskp0 )
    & ( hskp9
      | hskp24 )
    & ( hskp31
      | hskp24
      | hskp1 )
    & ( ~ hskp25
      | ( ~ c0_1(a656)
        & ndr1_0
        & c3_1(a656)
        & c1_1(a656) ) )
    & ( ~ hskp0
      | ( ndr1_0
        & c2_1(a593)
        & ~ c3_1(a593)
        & ~ c0_1(a593) ) )
    & ( ! [X76] :
          ( ndr1_0
         => ( c0_1(X76)
            | c1_1(X76)
            | c3_1(X76) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c0_1(X74)
            | c2_1(X74)
            | c1_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( c3_1(X75)
            | c2_1(X75)
            | c0_1(X75) ) ) )
    & ( ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | ~ c2_1(X78)
            | c0_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c0_1(X79)
            | ~ c1_1(X79)
            | ~ c2_1(X79) ) )
      | hskp29 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( ~ hskp27
          | ( ~ c3_1(a690)
            & ndr1_0
            & ~ c1_1(a690)
            & ~ c2_1(a690) ) )
        & ( ~ hskp17
          | ( c0_1(a624)
            & c1_1(a624)
            & ndr1_0
            & ~ c2_1(a624) ) )
        & ( hskp23
          | hskp22
          | ! [X70] :
              ( ndr1_0
             => ( c2_1(X70)
                | ~ c0_1(X70)
                | ~ c3_1(X70) ) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( c1_1(X53)
                | c0_1(X53)
                | ~ c3_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | ~ c0_1(X54)
                | ~ c3_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | c3_1(X55)
                | c1_1(X55) ) ) )
        & ( ( c1_1(a614)
            & ndr1_0
            & ~ c2_1(a614)
            & ~ c3_1(a614) )
          | ~ hskp13 )
        & ( hskp28
          | hskp10
          | hskp2 )
        & ( ~ hskp7
          | ( c2_1(a602)
            & ~ c0_1(a602)
            & ndr1_0
            & c3_1(a602) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( c2_1(X15)
                | ~ c1_1(X15)
                | c0_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | c3_1(X16)
                | c1_1(X16) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | ~ c3_1(X14)
                | ~ c2_1(X14) ) ) )
        & ( hskp9
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c2_1(X39)
                | ~ c0_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( ( c1_1(a608)
            & ~ c0_1(a608)
            & ~ c3_1(a608)
            & ndr1_0 )
          | ~ hskp11 )
        & ( hskp22
          | hskp4
          | ! [X102] :
              ( ndr1_0
             => ( ~ c0_1(X102)
                | ~ c1_1(X102)
                | c2_1(X102) ) ) )
        & ( hskp13
          | ! [X31] :
              ( ndr1_0
             => ( ~ c2_1(X31)
                | c1_1(X31)
                | ~ c3_1(X31) ) )
          | hskp12 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c3_1(X26)
                | ~ c0_1(X26)
                | c1_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | c0_1(X25)
                | ~ c2_1(X25) ) )
          | hskp11 )
        & ( ( ndr1_0
            & ~ c2_1(a600)
            & c3_1(a600)
            & ~ c1_1(a600) )
          | ~ hskp6 )
        & ( ( ndr1_0
            & c0_1(a672)
            & c2_1(a672)
            & c3_1(a672) )
          | ~ hskp31 )
        & ( hskp7
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c0_1(X73)
                | ~ c1_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c0_1(X72)
                | c2_1(X72)
                | c3_1(X72) ) ) )
        & ( ( ~ c2_1(a645)
            & ~ c0_1(a645)
            & c3_1(a645)
            & ndr1_0 )
          | ~ hskp23 )
        & ( hskp4
          | hskp21
          | hskp1 )
        & ( ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c0_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c0_1(X1)
                | c2_1(X1)
                | c3_1(X1) ) )
          | hskp30 )
        & ( hskp8
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | c0_1(X37)
                | c2_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c0_1(X36)
                | c1_1(X36)
                | c2_1(X36) ) ) )
        & ( ( ndr1_0
            & c1_1(a604)
            & c2_1(a604)
            & ~ c0_1(a604) )
          | ~ hskp9 )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | ~ c1_1(X77)
                | ~ c2_1(X77) ) )
          | hskp16
          | hskp29 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c2_1(X62)
                | ~ c1_1(X62)
                | ~ c0_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | c2_1(X61)
                | c3_1(X61) ) )
          | hskp29 )
        & ( hskp4
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | c3_1(X30)
                | ~ c0_1(X30) ) )
          | hskp28 )
        & ( hskp5
          | hskp14
          | ! [X60] :
              ( ndr1_0
             => ( c1_1(X60)
                | ~ c0_1(X60)
                | ~ c3_1(X60) ) ) )
        & ( hskp12
          | hskp9
          | hskp10 )
        & ( ~ hskp30
          | ( c2_1(a637)
            & ndr1_0
            & c1_1(a637)
            & c0_1(a637) ) )
        & ( ~ hskp2
          | ( ~ c1_1(a596)
            & ndr1_0
            & ~ c0_1(a596)
            & c2_1(a596) ) )
        & ( ! [X90] :
              ( ndr1_0
             => ( c3_1(X90)
                | c0_1(X90)
                | c2_1(X90) ) )
          | hskp5
          | ! [X91] :
              ( ndr1_0
             => ( c3_1(X91)
                | c0_1(X91)
                | ~ c1_1(X91) ) ) )
        & ( hskp10
          | hskp5
          | ! [X104] :
              ( ndr1_0
             => ( c3_1(X104)
                | ~ c2_1(X104)
                | c0_1(X104) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | c3_1(X66)
                | ~ c0_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c2_1(X67)
                | c0_1(X67)
                | c1_1(X67) ) )
          | hskp0 )
        & ( ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | c0_1(X29)
                | c1_1(X29) ) )
          | hskp6
          | hskp5 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c2_1(X63)
                | c3_1(X63)
                | ~ c1_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | ~ c2_1(X64)
                | ~ c1_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c3_1(X65)
                | ~ c0_1(X65) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | c1_1(X86)
                | c0_1(X86) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c0_1(X84)
                | ~ c3_1(X84)
                | ~ c2_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c2_1(X85)
                | c0_1(X85)
                | c3_1(X85) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | ~ c3_1(X13)
                | c2_1(X13) ) )
          | hskp10
          | hskp5 )
        & ( hskp18
          | hskp12
          | hskp10 )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c2_1(X105)
                | ~ c1_1(X105)
                | ~ c0_1(X105) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | c0_1(X107)
                | ~ c2_1(X107) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c1_1(X106)
                | c3_1(X106)
                | c2_1(X106) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | ~ c3_1(X8)
                | c1_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | ~ c0_1(X7)
                | ~ c3_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | ~ c2_1(X6)
                | ~ c3_1(X6) ) ) )
        & ( ! [X98] :
              ( ndr1_0
             => ( c3_1(X98)
                | c0_1(X98)
                | c2_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( c3_1(X97)
                | c2_1(X97)
                | ~ c0_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | ~ c1_1(X96)
                | ~ c0_1(X96) ) ) )
        & ( hskp4
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | ~ c1_1(X40)
                | c2_1(X40) ) )
          | hskp8 )
        & ( hskp13
          | ! [X34] :
              ( ndr1_0
             => ( c2_1(X34)
                | ~ c3_1(X34)
                | ~ c0_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | c0_1(X35)
                | ~ c1_1(X35) ) ) )
        & ( ~ hskp5
          | ( c2_1(a599)
            & ndr1_0
            & c3_1(a599)
            & ~ c1_1(a599) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | ~ c2_1(X43)
                | c3_1(X43) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c2_1(X45)
                | ~ c1_1(X45)
                | c3_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c0_1(X44)
                | c1_1(X44) ) ) )
        & ( ! [X114] :
              ( ndr1_0
             => ( ~ c0_1(X114)
                | c1_1(X114)
                | ~ c3_1(X114) ) )
          | ! [X113] :
              ( ndr1_0
             => ( c3_1(X113)
                | ~ c1_1(X113)
                | ~ c0_1(X113) ) )
          | hskp21 )
        & ( hskp14
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | ~ c2_1(X41)
                | ~ c1_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | c0_1(X42)
                | ~ c1_1(X42) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c0_1(X12)
                | c1_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | ~ c2_1(X11) ) )
          | hskp1 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c1_1(X56)
                | ~ c2_1(X56)
                | c0_1(X56) ) )
          | hskp4
          | hskp3 )
        & ( ( ndr1_0
            & ~ c2_1(a627)
            & ~ c3_1(a627)
            & c0_1(a627) )
          | ~ hskp19 )
        & ( hskp26
          | hskp3
          | hskp30 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c3_1(X19)
                | ~ c1_1(X19)
                | ~ c2_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c1_1(X20)
                | c0_1(X20)
                | c2_1(X20) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | ~ c2_1(X18)
                | ~ c0_1(X18) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | c3_1(X89)
                | c1_1(X89) ) )
          | hskp18
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c1_1(X88)
                | ~ c0_1(X88) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c0_1(X9)
                | c2_1(X9) ) )
          | hskp12
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | ~ c0_1(X10)
                | c1_1(X10) ) ) )
        & ( hskp2
          | hskp28
          | ! [X5] :
              ( ndr1_0
             => ( c1_1(X5)
                | ~ c2_1(X5)
                | c0_1(X5) ) ) )
        & ( ( c3_1(a618)
            & c0_1(a618)
            & c1_1(a618)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | ~ c3_1(X51)
                | ~ c1_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | ~ c2_1(X52)
                | ~ c1_1(X52) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c3_1(X50)
                | ~ c1_1(X50) ) ) )
        & ( hskp4
          | ! [X21] :
              ( ndr1_0
             => ( c2_1(X21)
                | c3_1(X21)
                | c1_1(X21) ) )
          | hskp14 )
        & ( ~ hskp10
          | ( ndr1_0
            & ~ c3_1(a605)
            & c0_1(a605)
            & c2_1(a605) ) )
        & ( ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | c1_1(X92)
                | ~ c0_1(X92) ) )
          | hskp20
          | ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | ~ c0_1(X93)
                | c2_1(X93) ) ) )
        & ( ( c2_1(a597)
            & ndr1_0
            & ~ c3_1(a597)
            & c1_1(a597) )
          | ~ hskp3 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c3_1(X28)
                | c0_1(X28)
                | ~ c1_1(X28) ) )
          | hskp1
          | ! [X27] :
              ( ndr1_0
             => ( c1_1(X27)
                | ~ c0_1(X27)
                | ~ c3_1(X27) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | c0_1(X47)
                | c2_1(X47) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | ~ c2_1(X49)
                | ~ c0_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | c1_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp24
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c0_1(X33)
                | ~ c2_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | c3_1(X32)
                | ~ c1_1(X32) ) ) )
        & ( ( c2_1(a609)
            & ~ c3_1(a609)
            & ~ c1_1(a609)
            & ndr1_0 )
          | ~ hskp12 )
        & ( hskp28
          | hskp2
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | ~ c0_1(X103)
                | ~ c3_1(X103) ) ) )
        & ( hskp12
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | c2_1(X94)
                | ~ c3_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c3_1(X95)
                | c0_1(X95)
                | ~ c2_1(X95) ) ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | c0_1(X81)
                | ~ c1_1(X81) ) )
          | hskp28
          | ! [X80] :
              ( ndr1_0
             => ( c2_1(X80)
                | ~ c3_1(X80)
                | ~ c1_1(X80) ) ) )
        & ( ~ hskp18
          | ( ~ c0_1(a625)
            & c3_1(a625)
            & ndr1_0
            & ~ c1_1(a625) ) )
        & ( hskp13
          | hskp27
          | hskp3 )
        & ( ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c2_1(X68)
                | ~ c1_1(X68) ) )
          | hskp18
          | hskp5 )
        & ( hskp15
          | hskp16
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | ~ c3_1(X2)
                | ~ c2_1(X2) ) ) )
        & ( hskp17
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c2_1(X108)
                | ~ c1_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( c3_1(X109)
                | ~ c0_1(X109)
                | ~ c1_1(X109) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( c1_1(X17)
                | c3_1(X17)
                | ~ c2_1(X17) ) )
          | hskp19
          | hskp7 )
        & ( ! [X101] :
              ( ndr1_0
             => ( c1_1(X101)
                | ~ c3_1(X101)
                | c0_1(X101) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c0_1(X99)
                | ~ c1_1(X99)
                | c3_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | c3_1(X100)
                | c0_1(X100) ) ) )
        & ( hskp17
          | ! [X87] :
              ( ndr1_0
             => ( c2_1(X87)
                | ~ c3_1(X87)
                | c1_1(X87) ) )
          | hskp18 )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c0_1(X22)
                | ~ c1_1(X22)
                | c2_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | ~ c1_1(X23)
                | ~ c2_1(X23) ) )
          | hskp18 )
        & ( ~ hskp15
          | ( ~ c1_1(a619)
            & ~ c3_1(a619)
            & c0_1(a619)
            & ndr1_0 ) )
        & ( ~ hskp8
          | ( ~ c1_1(a603)
            & ndr1_0
            & ~ c2_1(a603)
            & c0_1(a603) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & ~ c3_1(a644)
            & ~ c0_1(a644)
            & ~ c2_1(a644) ) )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c0_1(X110)
                | c1_1(X110) ) )
          | hskp12
          | ! [X111] :
              ( ndr1_0
             => ( c2_1(X111)
                | ~ c1_1(X111)
                | ~ c0_1(X111) ) ) )
        & ( ( c0_1(a631)
            & ~ c1_1(a631)
            & c3_1(a631)
            & ndr1_0 )
          | ~ hskp21 )
        & ( hskp29
          | ! [X112] :
              ( ndr1_0
             => ( ~ c1_1(X112)
                | c2_1(X112)
                | ~ c3_1(X112) ) )
          | hskp6 )
        & ( ( c3_1(a595)
            & ndr1_0
            & c1_1(a595)
            & c2_1(a595) )
          | ~ hskp28 )
        & ( ( ~ c0_1(a667)
            & ~ c3_1(a667)
            & ndr1_0
            & ~ c1_1(a667) )
          | ~ hskp26 )
        & ( ( c0_1(a594)
            & ndr1_0
            & ~ c3_1(a594)
            & c1_1(a594) )
          | ~ hskp1 )
        & ( ~ hskp14
          | ( ndr1_0
            & c0_1(a615)
            & c2_1(a615)
            & ~ c1_1(a615) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( c2_1(X58)
                | ~ c0_1(X58)
                | c3_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c2_1(X57)
                | c1_1(X57)
                | c0_1(X57) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | ~ c3_1(X59)
                | c2_1(X59) ) ) )
        & ( ~ hskp20
          | ( ~ c2_1(a630)
            & c0_1(a630)
            & c3_1(a630)
            & ndr1_0 ) )
        & ( hskp25
          | hskp23
          | hskp29 )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c1_1(X4)
                | ~ c2_1(X4)
                | ~ c3_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c0_1(X3)
                | ~ c1_1(X3) ) )
          | hskp10 )
        & ( hskp14
          | ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | ~ c1_1(X46)
                | ~ c3_1(X46) ) )
          | hskp8 )
        & ( hskp25
          | ! [X83] :
              ( ndr1_0
             => ( ~ c2_1(X83)
                | c3_1(X83)
                | ~ c0_1(X83) ) ) )
        & ( ~ hskp4
          | ( ~ c0_1(a598)
            & ~ c1_1(a598)
            & ndr1_0
            & ~ c2_1(a598) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | c0_1(X24)
                | c3_1(X24) ) )
          | hskp7
          | hskp28 )
        & ( hskp14
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | ~ c0_1(X71)
                | c3_1(X71) ) ) )
        & ( ( c1_1(a651)
            & c3_1(a651)
            & ~ c2_1(a651)
            & ndr1_0 )
          | ~ hskp24 )
        & ( hskp28
          | ! [X82] :
              ( ndr1_0
             => ( c3_1(X82)
                | c2_1(X82)
                | ~ c0_1(X82) ) )
          | hskp19 )
        & ( ( ~ c2_1(a620)
            & ndr1_0
            & c1_1(a620)
            & ~ c0_1(a620) )
          | ~ hskp16 )
        & ( hskp22
          | ! [X69] :
              ( ndr1_0
             => ( c3_1(X69)
                | ~ c1_1(X69)
                | ~ c2_1(X69) ) )
          | hskp0 )
        & ( hskp9
          | hskp24 )
        & ( hskp31
          | hskp24
          | hskp1 )
        & ( ~ hskp25
          | ( ~ c0_1(a656)
            & ndr1_0
            & c3_1(a656)
            & c1_1(a656) ) )
        & ( ~ hskp0
          | ( ndr1_0
            & c2_1(a593)
            & ~ c3_1(a593)
            & ~ c0_1(a593) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( c0_1(X76)
                | c1_1(X76)
                | c3_1(X76) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c0_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c3_1(X75)
                | c2_1(X75)
                | c0_1(X75) ) ) )
        & ( ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c2_1(X78)
                | c0_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | ~ c1_1(X79)
                | ~ c2_1(X79) ) )
          | hskp29 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp30
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | ~ c0_1(X92)
                | ~ c3_1(X92) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | ~ c0_1(X91)
                | c3_1(X91) ) ) )
        & ( ( c1_1(a614)
            & ndr1_0
            & ~ c2_1(a614)
            & ~ c3_1(a614) )
          | ~ hskp13 )
        & ( hskp15
          | hskp16
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c3_1(X70)
                | c0_1(X70) ) ) )
        & ( ~ hskp25
          | ( ~ c0_1(a656)
            & ndr1_0
            & c3_1(a656)
            & c1_1(a656) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( c2_1(X45)
                | c0_1(X45)
                | ~ c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | ~ c1_1(X46)
                | ~ c3_1(X46) ) )
          | hskp10 )
        & ( hskp28
          | ! [X19] :
              ( ndr1_0
             => ( c1_1(X19)
                | c0_1(X19)
                | ~ c2_1(X19) ) )
          | hskp2 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | ~ c3_1(X28)
                | ~ c2_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | c2_1(X29)
                | ~ c0_1(X29) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c1_1(X27)
                | ~ c3_1(X27)
                | c0_1(X27) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | ~ c3_1(X73)
                | ~ c0_1(X73) ) )
          | hskp12
          | ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | c1_1(X72)
                | ~ c0_1(X72) ) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & ~ c3_1(a605)
            & c0_1(a605)
            & c2_1(a605) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c2_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c1_1(X18)
                | ~ c3_1(X18)
                | ~ c0_1(X18) ) )
          | hskp1 )
        & ( ! [X103] :
              ( ndr1_0
             => ( ~ c1_1(X103)
                | c2_1(X103)
                | ~ c3_1(X103) ) )
          | hskp10
          | hskp5 )
        & ( ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c2_1(X42)
                | ~ c0_1(X42) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c2_1(X40)
                | ~ c1_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | c1_1(X41)
                | ~ c2_1(X41) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | ~ c2_1(X77)
                | c1_1(X77) ) )
          | hskp7
          | hskp19 )
        & ( ! [X13] :
              ( ndr1_0
             => ( ~ c0_1(X13)
                | ~ c2_1(X13)
                | ~ c1_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c3_1(X12)
                | ~ c2_1(X12)
                | ~ c1_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c2_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( ~ hskp4
          | ( ~ c0_1(a598)
            & ~ c1_1(a598)
            & ndr1_0
            & ~ c2_1(a598) ) )
        & ( hskp4
          | hskp14
          | ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c3_1(X71)
                | c2_1(X71) ) ) )
        & ( ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | c2_1(X97)
                | ~ c0_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | ~ c2_1(X98)
                | ~ c0_1(X98) ) )
          | hskp18 )
        & ( ( c0_1(a631)
            & ~ c1_1(a631)
            & c3_1(a631)
            & ndr1_0 )
          | ~ hskp21 )
        & ( hskp28
          | ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | c3_1(X56)
                | ~ c2_1(X56) ) )
          | hskp7 )
        & ( ( ndr1_0
            & ~ c2_1(a627)
            & ~ c3_1(a627)
            & c0_1(a627) )
          | ~ hskp19 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c3_1(X51)
                | c0_1(X51)
                | ~ c2_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c1_1(X52)
                | c3_1(X52)
                | ~ c0_1(X52) ) )
          | hskp11 )
        & ( ( ~ c2_1(a620)
            & ndr1_0
            & c1_1(a620)
            & ~ c0_1(a620) )
          | ~ hskp16 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c1_1(X48)
                | ~ c3_1(X48)
                | ~ c0_1(X48) ) )
          | hskp1
          | ! [X47] :
              ( ndr1_0
             => ( c3_1(X47)
                | c0_1(X47)
                | ~ c1_1(X47) ) ) )
        & ( ( c3_1(a618)
            & c0_1(a618)
            & c1_1(a618)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a595)
            & ndr1_0
            & c1_1(a595)
            & c2_1(a595) )
          | ~ hskp28 )
        & ( hskp18
          | hskp12
          | hskp10 )
        & ( ~ hskp8
          | ( ~ c1_1(a603)
            & ndr1_0
            & ~ c2_1(a603)
            & c0_1(a603) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | c0_1(X30)
                | c1_1(X30) ) )
          | hskp5
          | hskp6 )
        & ( ( c2_1(a609)
            & ~ c3_1(a609)
            & ~ c1_1(a609)
            & ndr1_0 )
          | ~ hskp12 )
        & ( hskp28
          | ! [X109] :
              ( ndr1_0
             => ( c3_1(X109)
                | ~ c2_1(X109)
                | ~ c0_1(X109) ) )
          | hskp4 )
        & ( hskp12
          | hskp13
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c3_1(X88)
                | c1_1(X88) ) ) )
        & ( hskp24
          | ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | c3_1(X104)
                | ~ c1_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | ~ c2_1(X105)
                | ~ c3_1(X105) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c0_1(X61)
                | c2_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c2_1(X60)
                | ~ c1_1(X60) ) )
          | hskp13 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c1_1(X39)
                | ~ c0_1(X39)
                | c2_1(X39) ) )
          | hskp8
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c0_1(X38)
                | c2_1(X38) ) ) )
        & ( hskp9
          | ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | ~ c1_1(X43)
                | c2_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c2_1(X44)
                | ~ c0_1(X44) ) ) )
        & ( hskp4
          | hskp21
          | hskp1 )
        & ( hskp8
          | hskp4
          | ! [X99] :
              ( ndr1_0
             => ( ~ c0_1(X99)
                | ~ c1_1(X99)
                | c2_1(X99) ) ) )
        & ( ~ hskp17
          | ( c0_1(a624)
            & c1_1(a624)
            & ndr1_0
            & ~ c2_1(a624) ) )
        & ( hskp14
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | ~ c2_1(X63)
                | ~ c0_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | ~ c3_1(X62)
                | c0_1(X62) ) ) )
        & ( ~ hskp15
          | ( ~ c1_1(a619)
            & ~ c3_1(a619)
            & c0_1(a619)
            & ndr1_0 ) )
        & ( hskp9
          | hskp24 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | ~ c2_1(X84)
                | ~ c1_1(X84) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c1_1(X82)
                | ~ c0_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c3_1(X83)
                | c2_1(X83)
                | ~ c1_1(X83) ) ) )
        & ( ( ndr1_0
            & c0_1(a672)
            & c2_1(a672)
            & c3_1(a672) )
          | ~ hskp31 )
        & ( ~ hskp0
          | ( ndr1_0
            & c2_1(a593)
            & ~ c3_1(a593)
            & ~ c0_1(a593) ) )
        & ( hskp8
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | c0_1(X64)
                | ~ c3_1(X64) ) )
          | hskp14 )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c2_1(X3)
                | c1_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | ~ c3_1(X4)
                | c1_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | c3_1(X5)
                | ~ c0_1(X5) ) ) )
        & ( ~ hskp18
          | ( ~ c0_1(a625)
            & c3_1(a625)
            & ndr1_0
            & ~ c1_1(a625) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c1_1(X59)
                | ~ c3_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c1_1(X58)
                | c0_1(X58)
                | ~ c3_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | ~ c2_1(X57)
                | c0_1(X57) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | ~ c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | ~ c3_1(X16)
                | ~ c0_1(X16) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & ~ c3_1(a644)
            & ~ c0_1(a644)
            & ~ c2_1(a644) ) )
        & ( hskp26
          | hskp3
          | hskp30 )
        & ( hskp4
          | hskp3
          | ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c2_1(X20) ) ) )
        & ( ~ hskp27
          | ( ~ c3_1(a690)
            & ndr1_0
            & ~ c1_1(a690)
            & ~ c2_1(a690) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( c1_1(X6)
                | c2_1(X6)
                | c0_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | ~ c0_1(X7)
                | c3_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c0_1(X8)
                | c2_1(X8) ) ) )
        & ( ( c1_1(a651)
            & c3_1(a651)
            & ~ c2_1(a651)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | c1_1(X87)
                | ~ c3_1(X87) ) )
          | hskp5
          | hskp14 )
        & ( ( ~ c2_1(a645)
            & ~ c0_1(a645)
            & c3_1(a645)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | c2_1(X89)
                | ~ c0_1(X89) ) )
          | hskp29
          | ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | c2_1(X90)
                | ~ c1_1(X90) ) ) )
        & ( ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | ~ c1_1(X94)
                | c2_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | ~ c2_1(X95)
                | ~ c0_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | ~ c0_1(X96)
                | ~ c3_1(X96) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | ~ c2_1(X10)
                | ~ c0_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c2_1(X9)
                | c0_1(X9)
                | c1_1(X9) ) )
          | hskp0 )
        & ( ~ hskp14
          | ( ndr1_0
            & c0_1(a615)
            & c2_1(a615)
            & ~ c1_1(a615) ) )
        & ( ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | ~ c3_1(X114)
                | ~ c2_1(X114) ) )
          | hskp5
          | hskp18 )
        & ( hskp22
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | ~ c2_1(X111)
                | c3_1(X111) ) )
          | hskp0 )
        & ( hskp22
          | hskp23
          | ! [X101] :
              ( ndr1_0
             => ( ~ c0_1(X101)
                | c2_1(X101)
                | ~ c3_1(X101) ) ) )
        & ( ~ hskp5
          | ( c2_1(a599)
            & ndr1_0
            & c3_1(a599)
            & ~ c1_1(a599) ) )
        & ( ! [X108] :
              ( ndr1_0
             => ( c3_1(X108)
                | ~ c2_1(X108)
                | ~ c0_1(X108) ) )
          | hskp14 )
        & ( hskp25
          | hskp23
          | hskp29 )
        & ( hskp7
          | ! [X36] :
              ( ndr1_0
             => ( c2_1(X36)
                | c0_1(X36)
                | c3_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | ~ c2_1(X37)
                | ~ c0_1(X37) ) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c1_1(X0)
                | c2_1(X0)
                | c0_1(X0) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c3_1(X2)
                | c2_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c3_1(X1)
                | c1_1(X1) ) ) )
        & ( hskp29
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c0_1(X112)
                | ~ c1_1(X112) ) )
          | hskp16 )
        & ( ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | c0_1(X68)
                | ~ c3_1(X68) ) )
          | hskp29
          | ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | ~ c2_1(X69)
                | ~ c1_1(X69) ) ) )
        & ( ! [X50] :
              ( ndr1_0
             => ( c2_1(X50)
                | ~ c1_1(X50)
                | ~ c3_1(X50) ) )
          | hskp28
          | ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | c0_1(X49)
                | c3_1(X49) ) ) )
        & ( ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | c3_1(X93)
                | c2_1(X93) ) )
          | hskp19
          | hskp28 )
        & ( ( ndr1_0
            & c1_1(a604)
            & c2_1(a604)
            & ~ c0_1(a604) )
          | ~ hskp9 )
        & ( hskp31
          | hskp24
          | hskp1 )
        & ( ! [X110] :
              ( ndr1_0
             => ( c3_1(X110)
                | ~ c2_1(X110)
                | ~ c0_1(X110) ) )
          | hskp25 )
        & ( ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c2_1(X23)
                | c0_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c3_1(X22)
                | c2_1(X22)
                | c0_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c1_1(X21)
                | ~ c3_1(X21)
                | c0_1(X21) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | ~ c3_1(X74)
                | c2_1(X74) ) )
          | hskp18
          | hskp17 )
        & ( ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | ~ c1_1(X76)
                | ~ c3_1(X76) ) )
          | hskp18
          | ! [X75] :
              ( ndr1_0
             => ( c3_1(X75)
                | c1_1(X75)
                | ~ c2_1(X75) ) ) )
        & ( ~ hskp30
          | ( c2_1(a637)
            & ndr1_0
            & c1_1(a637)
            & c0_1(a637) ) )
        & ( hskp5
          | ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | c0_1(X32)
                | c3_1(X32) ) ) )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | ~ c3_1(X80)
                | ~ c0_1(X80) ) )
          | hskp20
          | ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | ~ c0_1(X81)
                | c3_1(X81) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | ~ c3_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | c0_1(X53)
                | c3_1(X53) ) )
          | hskp12 )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | ~ c1_1(X35)
                | ~ c2_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c3_1(X34)
                | c2_1(X34)
                | ~ c0_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c2_1(X33)
                | c0_1(X33)
                | c3_1(X33) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( c3_1(X26)
                | ~ c0_1(X26)
                | ~ c1_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c0_1(X25)
                | c3_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c1_1(X24)
                | c0_1(X24)
                | ~ c3_1(X24) ) ) )
        & ( ~ hskp7
          | ( c2_1(a602)
            & ~ c0_1(a602)
            & ndr1_0
            & c3_1(a602) ) )
        & ( hskp12
          | hskp9
          | hskp10 )
        & ( ( c2_1(a597)
            & ndr1_0
            & ~ c3_1(a597)
            & c1_1(a597) )
          | ~ hskp3 )
        & ( ( ~ c0_1(a667)
            & ~ c3_1(a667)
            & ndr1_0
            & ~ c1_1(a667) )
          | ~ hskp26 )
        & ( ( c1_1(a608)
            & ~ c0_1(a608)
            & ~ c3_1(a608)
            & ndr1_0 )
          | ~ hskp11 )
        & ( hskp22
          | ! [X100] :
              ( ndr1_0
             => ( ~ c0_1(X100)
                | c2_1(X100)
                | ~ c1_1(X100) ) )
          | hskp4 )
        & ( hskp28
          | ! [X113] :
              ( ndr1_0
             => ( ~ c2_1(X113)
                | ~ c3_1(X113)
                | ~ c0_1(X113) ) )
          | hskp2 )
        & ( hskp10
          | hskp5
          | ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | ~ c2_1(X55)
                | c3_1(X55) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c0_1(X67)
                | ~ c1_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | c2_1(X66)
                | c3_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c3_1(X65)
                | c0_1(X65) ) ) )
        & ( ( c0_1(a594)
            & ndr1_0
            & ~ c3_1(a594)
            & c1_1(a594) )
          | ~ hskp1 )
        & ( ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | ~ c1_1(X107)
                | ~ c3_1(X107) ) )
          | hskp17
          | ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | ~ c1_1(X106)
                | ~ c0_1(X106) ) ) )
        & ( hskp13
          | hskp27
          | hskp3 )
        & ( ~ hskp2
          | ( ~ c1_1(a596)
            & ndr1_0
            & ~ c0_1(a596)
            & c2_1(a596) ) )
        & ( hskp12
          | ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | ~ c0_1(X78)
                | ~ c2_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | ~ c1_1(X79)
                | c2_1(X79) ) ) )
        & ( ( ndr1_0
            & ~ c2_1(a600)
            & c3_1(a600)
            & ~ c1_1(a600) )
          | ~ hskp6 )
        & ( hskp6
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c1_1(X102)
                | c2_1(X102) ) )
          | hskp29 )
        & ( hskp21
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | ~ c1_1(X86)
                | ~ c0_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | ~ c3_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp28
          | hskp10
          | hskp2 )
        & ( ~ hskp20
          | ( ~ c2_1(a630)
            & c0_1(a630)
            & c3_1(a630)
            & ndr1_0 ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp30
        | ! [X92] :
            ( ndr1_0
           => ( ~ c2_1(X92)
              | ~ c0_1(X92)
              | ~ c3_1(X92) ) )
        | ! [X91] :
            ( ndr1_0
           => ( c2_1(X91)
              | ~ c0_1(X91)
              | c3_1(X91) ) ) )
      & ( ( c1_1(a614)
          & ndr1_0
          & ~ c2_1(a614)
          & ~ c3_1(a614) )
        | ~ hskp13 )
      & ( hskp15
        | hskp16
        | ! [X70] :
            ( ndr1_0
           => ( ~ c2_1(X70)
              | ~ c3_1(X70)
              | c0_1(X70) ) ) )
      & ( ~ hskp25
        | ( ~ c0_1(a656)
          & ndr1_0
          & c3_1(a656)
          & c1_1(a656) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( c2_1(X45)
              | c0_1(X45)
              | ~ c1_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c2_1(X46)
              | ~ c1_1(X46)
              | ~ c3_1(X46) ) )
        | hskp10 )
      & ( hskp28
        | ! [X19] :
            ( ndr1_0
           => ( c1_1(X19)
              | c0_1(X19)
              | ~ c2_1(X19) ) )
        | hskp2 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | ~ c3_1(X28)
              | ~ c2_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | c2_1(X29)
              | ~ c0_1(X29) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c1_1(X27)
              | ~ c3_1(X27)
              | c0_1(X27) ) ) )
      & ( ! [X73] :
            ( ndr1_0
           => ( c2_1(X73)
              | ~ c3_1(X73)
              | ~ c0_1(X73) ) )
        | hskp12
        | ! [X72] :
            ( ndr1_0
           => ( c2_1(X72)
              | c1_1(X72)
              | ~ c0_1(X72) ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ~ c3_1(a605)
          & c0_1(a605)
          & c2_1(a605) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | ~ c2_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c1_1(X18)
              | ~ c3_1(X18)
              | ~ c0_1(X18) ) )
        | hskp1 )
      & ( ! [X103] :
            ( ndr1_0
           => ( ~ c1_1(X103)
              | c2_1(X103)
              | ~ c3_1(X103) ) )
        | hskp10
        | hskp5 )
      & ( ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | ~ c2_1(X42)
              | ~ c0_1(X42) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c2_1(X40)
              | ~ c1_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c3_1(X41)
              | c1_1(X41)
              | ~ c2_1(X41) ) ) )
      & ( ! [X77] :
            ( ndr1_0
           => ( c3_1(X77)
              | ~ c2_1(X77)
              | c1_1(X77) ) )
        | hskp7
        | hskp19 )
      & ( ! [X13] :
            ( ndr1_0
           => ( ~ c0_1(X13)
              | ~ c2_1(X13)
              | ~ c1_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c3_1(X12)
              | ~ c2_1(X12)
              | ~ c1_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c2_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( ~ hskp4
        | ( ~ c0_1(a598)
          & ~ c1_1(a598)
          & ndr1_0
          & ~ c2_1(a598) ) )
      & ( hskp4
        | hskp14
        | ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c3_1(X71)
              | c2_1(X71) ) ) )
      & ( ! [X97] :
            ( ndr1_0
           => ( ~ c1_1(X97)
              | c2_1(X97)
              | ~ c0_1(X97) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c1_1(X98)
              | ~ c2_1(X98)
              | ~ c0_1(X98) ) )
        | hskp18 )
      & ( ( c0_1(a631)
          & ~ c1_1(a631)
          & c3_1(a631)
          & ndr1_0 )
        | ~ hskp21 )
      & ( hskp28
        | ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | c3_1(X56)
              | ~ c2_1(X56) ) )
        | hskp7 )
      & ( ( ndr1_0
          & ~ c2_1(a627)
          & ~ c3_1(a627)
          & c0_1(a627) )
        | ~ hskp19 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c3_1(X51)
              | c0_1(X51)
              | ~ c2_1(X51) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c1_1(X52)
              | c3_1(X52)
              | ~ c0_1(X52) ) )
        | hskp11 )
      & ( ( ~ c2_1(a620)
          & ndr1_0
          & c1_1(a620)
          & ~ c0_1(a620) )
        | ~ hskp16 )
      & ( ! [X48] :
            ( ndr1_0
           => ( c1_1(X48)
              | ~ c3_1(X48)
              | ~ c0_1(X48) ) )
        | hskp1
        | ! [X47] :
            ( ndr1_0
           => ( c3_1(X47)
              | c0_1(X47)
              | ~ c1_1(X47) ) ) )
      & ( ( c3_1(a618)
          & c0_1(a618)
          & c1_1(a618)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a595)
          & ndr1_0
          & c1_1(a595)
          & c2_1(a595) )
        | ~ hskp28 )
      & ( hskp18
        | hskp12
        | hskp10 )
      & ( ~ hskp8
        | ( ~ c1_1(a603)
          & ndr1_0
          & ~ c2_1(a603)
          & c0_1(a603) ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( ~ c3_1(X30)
              | c0_1(X30)
              | c1_1(X30) ) )
        | hskp5
        | hskp6 )
      & ( ( c2_1(a609)
          & ~ c3_1(a609)
          & ~ c1_1(a609)
          & ndr1_0 )
        | ~ hskp12 )
      & ( hskp28
        | ! [X109] :
            ( ndr1_0
           => ( c3_1(X109)
              | ~ c2_1(X109)
              | ~ c0_1(X109) ) )
        | hskp4 )
      & ( hskp12
        | hskp13
        | ! [X88] :
            ( ndr1_0
           => ( ~ c2_1(X88)
              | ~ c3_1(X88)
              | c1_1(X88) ) ) )
      & ( hskp24
        | ! [X104] :
            ( ndr1_0
           => ( ~ c0_1(X104)
              | c3_1(X104)
              | ~ c1_1(X104) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | ~ c2_1(X105)
              | ~ c3_1(X105) ) ) )
      & ( ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c0_1(X61)
              | c2_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | ~ c2_1(X60)
              | ~ c1_1(X60) ) )
        | hskp13 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c1_1(X39)
              | ~ c0_1(X39)
              | c2_1(X39) ) )
        | hskp8
        | ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | c0_1(X38)
              | c2_1(X38) ) ) )
      & ( hskp9
        | ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | ~ c1_1(X43)
              | c2_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | ~ c2_1(X44)
              | ~ c0_1(X44) ) ) )
      & ( hskp4
        | hskp21
        | hskp1 )
      & ( hskp8
        | hskp4
        | ! [X99] :
            ( ndr1_0
           => ( ~ c0_1(X99)
              | ~ c1_1(X99)
              | c2_1(X99) ) ) )
      & ( ~ hskp17
        | ( c0_1(a624)
          & c1_1(a624)
          & ndr1_0
          & ~ c2_1(a624) ) )
      & ( hskp14
        | ! [X63] :
            ( ndr1_0
           => ( ~ c1_1(X63)
              | ~ c2_1(X63)
              | ~ c0_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c1_1(X62)
              | ~ c3_1(X62)
              | c0_1(X62) ) ) )
      & ( ~ hskp15
        | ( ~ c1_1(a619)
          & ~ c3_1(a619)
          & c0_1(a619)
          & ndr1_0 ) )
      & ( hskp9
        | hskp24 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c3_1(X84)
              | ~ c2_1(X84)
              | ~ c1_1(X84) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | c1_1(X82)
              | ~ c0_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( c3_1(X83)
              | c2_1(X83)
              | ~ c1_1(X83) ) ) )
      & ( ( ndr1_0
          & c0_1(a672)
          & c2_1(a672)
          & c3_1(a672) )
        | ~ hskp31 )
      & ( ~ hskp0
        | ( ndr1_0
          & c2_1(a593)
          & ~ c3_1(a593)
          & ~ c0_1(a593) ) )
      & ( hskp8
        | ! [X64] :
            ( ndr1_0
           => ( ~ c1_1(X64)
              | c0_1(X64)
              | ~ c3_1(X64) ) )
        | hskp14 )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c2_1(X3)
              | c1_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | ~ c3_1(X4)
              | c1_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( ~ c2_1(X5)
              | c3_1(X5)
              | ~ c0_1(X5) ) ) )
      & ( ~ hskp18
        | ( ~ c0_1(a625)
          & c3_1(a625)
          & ndr1_0
          & ~ c1_1(a625) ) )
      & ( ! [X59] :
            ( ndr1_0
           => ( ~ c2_1(X59)
              | ~ c1_1(X59)
              | ~ c3_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c1_1(X58)
              | c0_1(X58)
              | ~ c3_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c1_1(X57)
              | ~ c2_1(X57)
              | c0_1(X57) ) ) )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | ~ c3_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | ~ c3_1(X16)
              | ~ c0_1(X16) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c3_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ c3_1(a644)
          & ~ c0_1(a644)
          & ~ c2_1(a644) ) )
      & ( hskp26
        | hskp3
        | hskp30 )
      & ( hskp4
        | hskp3
        | ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c2_1(X20) ) ) )
      & ( ~ hskp27
        | ( ~ c3_1(a690)
          & ndr1_0
          & ~ c1_1(a690)
          & ~ c2_1(a690) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( c1_1(X6)
              | c2_1(X6)
              | c0_1(X6) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c2_1(X7)
              | ~ c0_1(X7)
              | c3_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c3_1(X8)
              | ~ c0_1(X8)
              | c2_1(X8) ) ) )
      & ( ( c1_1(a651)
          & c3_1(a651)
          & ~ c2_1(a651)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ! [X87] :
            ( ndr1_0
           => ( ~ c0_1(X87)
              | c1_1(X87)
              | ~ c3_1(X87) ) )
        | hskp5
        | hskp14 )
      & ( ( ~ c2_1(a645)
          & ~ c0_1(a645)
          & c3_1(a645)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c3_1(X89)
              | c2_1(X89)
              | ~ c0_1(X89) ) )
        | hskp29
        | ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | c2_1(X90)
              | ~ c1_1(X90) ) ) )
      & ( ! [X94] :
            ( ndr1_0
           => ( c3_1(X94)
              | ~ c1_1(X94)
              | c2_1(X94) ) )
        | ! [X95] :
            ( ndr1_0
           => ( ~ c1_1(X95)
              | ~ c2_1(X95)
              | ~ c0_1(X95) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c2_1(X96)
              | ~ c0_1(X96)
              | ~ c3_1(X96) ) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( c3_1(X10)
              | ~ c2_1(X10)
              | ~ c0_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c2_1(X9)
              | c0_1(X9)
              | c1_1(X9) ) )
        | hskp0 )
      & ( ~ hskp14
        | ( ndr1_0
          & c0_1(a615)
          & c2_1(a615)
          & ~ c1_1(a615) ) )
      & ( ! [X114] :
            ( ndr1_0
           => ( ~ c1_1(X114)
              | ~ c3_1(X114)
              | ~ c2_1(X114) ) )
        | hskp5
        | hskp18 )
      & ( hskp22
        | ! [X111] :
            ( ndr1_0
           => ( ~ c1_1(X111)
              | ~ c2_1(X111)
              | c3_1(X111) ) )
        | hskp0 )
      & ( hskp22
        | hskp23
        | ! [X101] :
            ( ndr1_0
           => ( ~ c0_1(X101)
              | c2_1(X101)
              | ~ c3_1(X101) ) ) )
      & ( ~ hskp5
        | ( c2_1(a599)
          & ndr1_0
          & c3_1(a599)
          & ~ c1_1(a599) ) )
      & ( ! [X108] :
            ( ndr1_0
           => ( c3_1(X108)
              | ~ c2_1(X108)
              | ~ c0_1(X108) ) )
        | hskp14 )
      & ( hskp25
        | hskp23
        | hskp29 )
      & ( hskp7
        | ! [X36] :
            ( ndr1_0
           => ( c2_1(X36)
              | c0_1(X36)
              | c3_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c1_1(X37)
              | ~ c2_1(X37)
              | ~ c0_1(X37) ) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c1_1(X0)
              | c2_1(X0)
              | c0_1(X0) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c3_1(X2)
              | c2_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c3_1(X1)
              | c1_1(X1) ) ) )
      & ( hskp29
        | ! [X112] :
            ( ndr1_0
           => ( ~ c2_1(X112)
              | ~ c0_1(X112)
              | ~ c1_1(X112) ) )
        | hskp16 )
      & ( ! [X68] :
            ( ndr1_0
           => ( ~ c2_1(X68)
              | c0_1(X68)
              | ~ c3_1(X68) ) )
        | hskp29
        | ! [X69] :
            ( ndr1_0
           => ( ~ c0_1(X69)
              | ~ c2_1(X69)
              | ~ c1_1(X69) ) ) )
      & ( ! [X50] :
            ( ndr1_0
           => ( c2_1(X50)
              | ~ c1_1(X50)
              | ~ c3_1(X50) ) )
        | hskp28
        | ! [X49] :
            ( ndr1_0
           => ( ~ c1_1(X49)
              | c0_1(X49)
              | c3_1(X49) ) ) )
      & ( ! [X93] :
            ( ndr1_0
           => ( ~ c0_1(X93)
              | c3_1(X93)
              | c2_1(X93) ) )
        | hskp19
        | hskp28 )
      & ( ( ndr1_0
          & c1_1(a604)
          & c2_1(a604)
          & ~ c0_1(a604) )
        | ~ hskp9 )
      & ( hskp31
        | hskp24
        | hskp1 )
      & ( ! [X110] :
            ( ndr1_0
           => ( c3_1(X110)
              | ~ c2_1(X110)
              | ~ c0_1(X110) ) )
        | hskp25 )
      & ( ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | ~ c2_1(X23)
              | c0_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c3_1(X22)
              | c2_1(X22)
              | c0_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c1_1(X21)
              | ~ c3_1(X21)
              | c0_1(X21) ) ) )
      & ( ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | ~ c3_1(X74)
              | c2_1(X74) ) )
        | hskp18
        | hskp17 )
      & ( ! [X76] :
            ( ndr1_0
           => ( ~ c0_1(X76)
              | ~ c1_1(X76)
              | ~ c3_1(X76) ) )
        | hskp18
        | ! [X75] :
            ( ndr1_0
           => ( c3_1(X75)
              | c1_1(X75)
              | ~ c2_1(X75) ) ) )
      & ( ~ hskp30
        | ( c2_1(a637)
          & ndr1_0
          & c1_1(a637)
          & c0_1(a637) ) )
      & ( hskp5
        | ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | c3_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | c0_1(X32)
              | c3_1(X32) ) ) )
      & ( ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | ~ c3_1(X80)
              | ~ c0_1(X80) ) )
        | hskp20
        | ! [X81] :
            ( ndr1_0
           => ( c2_1(X81)
              | ~ c0_1(X81)
              | c3_1(X81) ) ) )
      & ( ! [X54] :
            ( ndr1_0
           => ( ~ c1_1(X54)
              | ~ c3_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | c0_1(X53)
              | c3_1(X53) ) )
        | hskp12 )
      & ( ! [X35] :
            ( ndr1_0
           => ( ~ c0_1(X35)
              | ~ c1_1(X35)
              | ~ c2_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c3_1(X34)
              | c2_1(X34)
              | ~ c0_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c2_1(X33)
              | c0_1(X33)
              | c3_1(X33) ) ) )
      & ( ! [X26] :
            ( ndr1_0
           => ( c3_1(X26)
              | ~ c0_1(X26)
              | ~ c1_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c1_1(X25)
              | c0_1(X25)
              | c3_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c1_1(X24)
              | c0_1(X24)
              | ~ c3_1(X24) ) ) )
      & ( ~ hskp7
        | ( c2_1(a602)
          & ~ c0_1(a602)
          & ndr1_0
          & c3_1(a602) ) )
      & ( hskp12
        | hskp9
        | hskp10 )
      & ( ( c2_1(a597)
          & ndr1_0
          & ~ c3_1(a597)
          & c1_1(a597) )
        | ~ hskp3 )
      & ( ( ~ c0_1(a667)
          & ~ c3_1(a667)
          & ndr1_0
          & ~ c1_1(a667) )
        | ~ hskp26 )
      & ( ( c1_1(a608)
          & ~ c0_1(a608)
          & ~ c3_1(a608)
          & ndr1_0 )
        | ~ hskp11 )
      & ( hskp22
        | ! [X100] :
            ( ndr1_0
           => ( ~ c0_1(X100)
              | c2_1(X100)
              | ~ c1_1(X100) ) )
        | hskp4 )
      & ( hskp28
        | ! [X113] :
            ( ndr1_0
           => ( ~ c2_1(X113)
              | ~ c3_1(X113)
              | ~ c0_1(X113) ) )
        | hskp2 )
      & ( hskp10
        | hskp5
        | ! [X55] :
            ( ndr1_0
           => ( c0_1(X55)
              | ~ c2_1(X55)
              | c3_1(X55) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( ~ c2_1(X67)
              | ~ c0_1(X67)
              | ~ c1_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c1_1(X66)
              | c2_1(X66)
              | c3_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c2_1(X65)
              | ~ c3_1(X65)
              | c0_1(X65) ) ) )
      & ( ( c0_1(a594)
          & ndr1_0
          & ~ c3_1(a594)
          & c1_1(a594) )
        | ~ hskp1 )
      & ( ! [X107] :
            ( ndr1_0
           => ( ~ c2_1(X107)
              | ~ c1_1(X107)
              | ~ c3_1(X107) ) )
        | hskp17
        | ! [X106] :
            ( ndr1_0
           => ( c3_1(X106)
              | ~ c1_1(X106)
              | ~ c0_1(X106) ) ) )
      & ( hskp13
        | hskp27
        | hskp3 )
      & ( ~ hskp2
        | ( ~ c1_1(a596)
          & ndr1_0
          & ~ c0_1(a596)
          & c2_1(a596) ) )
      & ( hskp12
        | ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | ~ c0_1(X78)
              | ~ c2_1(X78) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | ~ c1_1(X79)
              | c2_1(X79) ) ) )
      & ( ( ndr1_0
          & ~ c2_1(a600)
          & c3_1(a600)
          & ~ c1_1(a600) )
        | ~ hskp6 )
      & ( hskp6
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c1_1(X102)
              | c2_1(X102) ) )
        | hskp29 )
      & ( hskp21
        | ! [X86] :
            ( ndr1_0
           => ( c3_1(X86)
              | ~ c1_1(X86)
              | ~ c0_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | ~ c3_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp28
        | hskp10
        | hskp2 )
      & ( ~ hskp20
        | ( ~ c2_1(a630)
          & c0_1(a630)
          & c3_1(a630)
          & ndr1_0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f1412,plain,
    ( ~ spl52_211
    | ~ spl52_35 ),
    inference(avatar_split_clause,[],[f100,f495,f1409]) ).

fof(f495,plain,
    ( spl52_35
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_35])]) ).

fof(f100,plain,
    ( ~ hskp27
    | ~ c2_1(a690) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1407,plain,
    ( ~ spl52_197
    | ~ spl52_8
    | spl52_52
    | ~ spl52_157 ),
    inference(avatar_split_clause,[],[f312,f1099,f574,f380,f1316]) ).

fof(f1316,plain,
    ( spl52_197
  <=> sP45 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_197])]) ).

fof(f380,plain,
    ( spl52_8
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_8])]) ).

fof(f1099,plain,
    ( spl52_157
  <=> sP44 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_157])]) ).

fof(f312,plain,
    ! [X103] :
      ( ~ sP44
      | ~ c0_1(X103)
      | ~ ndr1_0
      | c3_1(X103)
      | ~ sP45
      | ~ c2_1(X103) ),
    inference(duplicate_literal_removal,[],[f299]) ).

fof(f299,plain,
    ! [X103] :
      ( ~ ndr1_0
      | ~ c0_1(X103)
      | ~ c2_1(X103)
      | ~ sP45
      | ~ ndr1_0
      | c3_1(X103)
      | ~ ndr1_0
      | ~ sP44 ),
    inference(general_splitting,[],[f297,f298_D]) ).

fof(f298,plain,
    ! [X102] :
      ( c1_1(X102)
      | sP45
      | c0_1(X102)
      | ~ c3_1(X102) ),
    inference(cnf_transformation,[],[f298_D]) ).

fof(f298_D,plain,
    ( ! [X102] :
        ( c1_1(X102)
        | c0_1(X102)
        | ~ c3_1(X102) )
  <=> ~ sP45 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP45])]) ).

fof(f297,plain,
    ! [X102,X103] :
      ( ~ ndr1_0
      | c0_1(X102)
      | c1_1(X102)
      | ~ c3_1(X102)
      | ~ ndr1_0
      | ~ c0_1(X103)
      | ~ ndr1_0
      | c3_1(X103)
      | ~ c2_1(X103)
      | ~ sP44 ),
    inference(general_splitting,[],[f22,f296_D]) ).

fof(f296,plain,
    ! [X101] :
      ( sP44
      | c1_1(X101)
      | c0_1(X101)
      | c2_1(X101) ),
    inference(cnf_transformation,[],[f296_D]) ).

fof(f296_D,plain,
    ( ! [X101] :
        ( c1_1(X101)
        | c0_1(X101)
        | c2_1(X101) )
  <=> ~ sP44 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP44])]) ).

fof(f22,plain,
    ! [X101,X102,X103] :
      ( c0_1(X101)
      | ~ ndr1_0
      | c2_1(X101)
      | c1_1(X101)
      | c0_1(X102)
      | c1_1(X102)
      | ~ c3_1(X102)
      | ~ ndr1_0
      | ~ c0_1(X103)
      | ~ ndr1_0
      | c3_1(X103)
      | ~ c2_1(X103) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1404,plain,
    ( ~ spl52_210
    | ~ spl52_103 ),
    inference(avatar_split_clause,[],[f47,f806,f1401]) ).

fof(f806,plain,
    ( spl52_103
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_103])]) ).

fof(f47,plain,
    ( ~ hskp9
    | ~ c0_1(a604) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1397,plain,
    ( spl52_209
    | ~ spl52_3 ),
    inference(avatar_split_clause,[],[f60,f359,f1394]) ).

fof(f359,plain,
    ( spl52_3
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_3])]) ).

fof(f60,plain,
    ( ~ hskp29
    | c3_1(a618) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1392,plain,
    ( spl52_8
    | ~ spl52_68 ),
    inference(avatar_split_clause,[],[f144,f646,f380]) ).

fof(f646,plain,
    ( spl52_68
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_68])]) ).

fof(f144,plain,
    ( ~ hskp30
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1387,plain,
    ( ~ spl52_57
    | ~ spl52_145
    | spl52_98
    | ~ spl52_8 ),
    inference(avatar_split_clause,[],[f316,f380,f785,f1026,f595]) ).

fof(f595,plain,
    ( spl52_57
  <=> sP35 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_57])]) ).

fof(f1026,plain,
    ( spl52_145
  <=> sP36 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_145])]) ).

fof(f316,plain,
    ! [X77] :
      ( ~ ndr1_0
      | c0_1(X77)
      | c3_1(X77)
      | ~ sP36
      | ~ sP35
      | c1_1(X77) ),
    inference(duplicate_literal_removal,[],[f281]) ).

fof(f281,plain,
    ! [X77] :
      ( ~ ndr1_0
      | ~ sP35
      | ~ sP36
      | ~ ndr1_0
      | c0_1(X77)
      | ~ ndr1_0
      | c1_1(X77)
      | c3_1(X77) ),
    inference(general_splitting,[],[f279,f280_D]) ).

fof(f280,plain,
    ! [X79] :
      ( c1_1(X79)
      | c0_1(X79)
      | sP36
      | ~ c3_1(X79) ),
    inference(cnf_transformation,[],[f280_D]) ).

fof(f280_D,plain,
    ( ! [X79] :
        ( c1_1(X79)
        | c0_1(X79)
        | ~ c3_1(X79) )
  <=> ~ sP36 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP36])]) ).

fof(f279,plain,
    ! [X79,X77] :
      ( c1_1(X77)
      | c3_1(X77)
      | ~ ndr1_0
      | c0_1(X77)
      | ~ ndr1_0
      | c1_1(X79)
      | c0_1(X79)
      | ~ c3_1(X79)
      | ~ ndr1_0
      | ~ sP35 ),
    inference(general_splitting,[],[f71,f278_D]) ).

fof(f278,plain,
    ! [X78] :
      ( sP35
      | ~ c2_1(X78)
      | ~ c3_1(X78)
      | ~ c0_1(X78) ),
    inference(cnf_transformation,[],[f278_D]) ).

fof(f278_D,plain,
    ( ! [X78] :
        ( ~ c2_1(X78)
        | ~ c3_1(X78)
        | ~ c0_1(X78) )
  <=> ~ sP35 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP35])]) ).

fof(f71,plain,
    ! [X78,X79,X77] :
      ( c1_1(X77)
      | c3_1(X77)
      | ~ ndr1_0
      | c0_1(X77)
      | ~ c0_1(X78)
      | ~ c2_1(X78)
      | ~ c3_1(X78)
      | ~ ndr1_0
      | c1_1(X79)
      | c0_1(X79)
      | ~ c3_1(X79)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1386,plain,
    ( spl52_63
    | spl52_18
    | ~ spl52_8
    | spl52_76 ),
    inference(avatar_split_clause,[],[f124,f682,f380,f423,f622]) ).

fof(f622,plain,
    ( spl52_63
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_63])]) ).

fof(f682,plain,
    ( spl52_76
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_76])]) ).

fof(f124,plain,
    ! [X39] :
      ( hskp6
      | ~ ndr1_0
      | ~ c3_1(X39)
      | hskp5
      | c0_1(X39)
      | c1_1(X39) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1380,plain,
    ( ~ spl52_66
    | ~ spl52_207 ),
    inference(avatar_split_clause,[],[f167,f1377,f637]) ).

fof(f637,plain,
    ( spl52_66
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_66])]) ).

fof(f167,plain,
    ( ~ c1_1(a625)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1372,plain,
    ( ~ spl52_35
    | ~ spl52_206 ),
    inference(avatar_split_clause,[],[f103,f1369,f495]) ).

fof(f103,plain,
    ( ~ c3_1(a690)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1367,plain,
    ( spl52_25
    | ~ spl52_181
    | spl52_105
    | ~ spl52_8 ),
    inference(avatar_split_clause,[],[f317,f380,f815,f1233,f452]) ).

fof(f452,plain,
    ( spl52_25
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_25])]) ).

fof(f1233,plain,
    ( spl52_181
  <=> sP12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_181])]) ).

fof(f317,plain,
    ! [X27] :
      ( ~ ndr1_0
      | ~ c2_1(X27)
      | ~ sP12
      | hskp10
      | ~ c3_1(X27)
      | ~ c1_1(X27) ),
    inference(duplicate_literal_removal,[],[f233]) ).

fof(f233,plain,
    ! [X27] :
      ( ~ sP12
      | ~ ndr1_0
      | ~ c2_1(X27)
      | ~ ndr1_0
      | ~ c3_1(X27)
      | hskp10
      | ~ c1_1(X27) ),
    inference(general_splitting,[],[f135,f232_D]) ).

fof(f232,plain,
    ! [X26] :
      ( c2_1(X26)
      | ~ c1_1(X26)
      | sP12
      | c0_1(X26) ),
    inference(cnf_transformation,[],[f232_D]) ).

fof(f232_D,plain,
    ( ! [X26] :
        ( c2_1(X26)
        | ~ c1_1(X26)
        | c0_1(X26) )
  <=> ~ sP12 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP12])]) ).

fof(f135,plain,
    ! [X26,X27] :
      ( ~ ndr1_0
      | ~ c1_1(X26)
      | c0_1(X26)
      | c2_1(X26)
      | ~ c2_1(X27)
      | ~ c1_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1366,plain,
    ( spl52_205
    | ~ spl52_48 ),
    inference(avatar_split_clause,[],[f63,f552,f1363]) ).

fof(f552,plain,
    ( spl52_48
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_48])]) ).

fof(f63,plain,
    ( ~ hskp28
    | c1_1(a595) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1361,plain,
    ( ~ spl52_204
    | ~ spl52_76 ),
    inference(avatar_split_clause,[],[f162,f682,f1358]) ).

fof(f162,plain,
    ( ~ hskp6
    | ~ c1_1(a600) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1356,plain,
    ( spl52_40
    | spl52_62 ),
    inference(avatar_split_clause,[],[f238,f617,f518]) ).

fof(f617,plain,
    ( spl52_62
  <=> sP15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_62])]) ).

fof(f238,plain,
    ! [X34] :
      ( sP15
      | ~ c3_1(X34)
      | ~ c2_1(X34)
      | ~ c0_1(X34) ),
    inference(cnf_transformation,[],[f238_D]) ).

fof(f238_D,plain,
    ( ! [X34] :
        ( ~ c3_1(X34)
        | ~ c2_1(X34)
        | ~ c0_1(X34) )
  <=> ~ sP15 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP15])]) ).

fof(f1355,plain,
    ( spl52_203
    | ~ spl52_66 ),
    inference(avatar_split_clause,[],[f169,f637,f1352]) ).

fof(f169,plain,
    ( ~ hskp18
    | c3_1(a625) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1350,plain,
    ( ~ spl52_84
    | spl52_202 ),
    inference(avatar_split_clause,[],[f26,f1347,f721]) ).

fof(f721,plain,
    ( spl52_84
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_84])]) ).

fof(f26,plain,
    ( c1_1(a614)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1345,plain,
    ( spl52_29
    | spl52_201 ),
    inference(avatar_split_clause,[],[f228,f1340,f470]) ).

fof(f1340,plain,
    ( spl52_201
  <=> sP10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_201])]) ).

fof(f228,plain,
    ! [X24] :
      ( sP10
      | ~ c0_1(X24)
      | ~ c1_1(X24)
      | ~ c2_1(X24) ),
    inference(cnf_transformation,[],[f228_D]) ).

fof(f228_D,plain,
    ( ! [X24] :
        ( ~ c0_1(X24)
        | ~ c1_1(X24)
        | ~ c2_1(X24) )
  <=> ~ sP10 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP10])]) ).

fof(f1344,plain,
    ( spl52_162
    | spl52_105 ),
    inference(avatar_split_clause,[],[f272,f815,f1125]) ).

fof(f1125,plain,
    ( spl52_162
  <=> sP32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_162])]) ).

fof(f272,plain,
    ! [X72] :
      ( ~ c2_1(X72)
      | ~ c3_1(X72)
      | ~ c1_1(X72)
      | sP32 ),
    inference(cnf_transformation,[],[f272_D]) ).

fof(f272_D,plain,
    ( ! [X72] :
        ( ~ c2_1(X72)
        | ~ c3_1(X72)
        | ~ c1_1(X72) )
  <=> ~ sP32 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP32])]) ).

fof(f1343,plain,
    ( ~ spl52_201
    | ~ spl52_8
    | spl52_42
    | ~ spl52_199 ),
    inference(avatar_split_clause,[],[f318,f1327,f526,f380,f1340]) ).

fof(f1327,plain,
    ( spl52_199
  <=> sP11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_199])]) ).

fof(f318,plain,
    ! [X23] :
      ( ~ sP11
      | c2_1(X23)
      | ~ ndr1_0
      | ~ c1_1(X23)
      | c3_1(X23)
      | ~ sP10 ),
    inference(duplicate_literal_removal,[],[f231]) ).

fof(f231,plain,
    ! [X23] :
      ( c3_1(X23)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c1_1(X23)
      | ~ sP10
      | ~ ndr1_0
      | c2_1(X23)
      | ~ sP11 ),
    inference(general_splitting,[],[f229,f230_D]) ).

fof(f230,plain,
    ! [X25] :
      ( c0_1(X25)
      | ~ c3_1(X25)
      | ~ c2_1(X25)
      | sP11 ),
    inference(cnf_transformation,[],[f230_D]) ).

fof(f230_D,plain,
    ( ! [X25] :
        ( c0_1(X25)
        | ~ c3_1(X25)
        | ~ c2_1(X25) )
  <=> ~ sP11 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP11])]) ).

fof(f229,plain,
    ! [X25,X23] :
      ( c2_1(X23)
      | c3_1(X23)
      | ~ ndr1_0
      | ~ c1_1(X23)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c2_1(X25)
      | ~ c3_1(X25)
      | c0_1(X25)
      | ~ sP10 ),
    inference(general_splitting,[],[f140,f228_D]) ).

fof(f140,plain,
    ! [X24,X25,X23] :
      ( c2_1(X23)
      | c3_1(X23)
      | ~ ndr1_0
      | ~ c1_1(X23)
      | ~ c0_1(X24)
      | ~ ndr1_0
      | ~ c1_1(X24)
      | ~ c2_1(X24)
      | ~ ndr1_0
      | ~ c2_1(X25)
      | ~ c3_1(X25)
      | c0_1(X25) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1338,plain,
    ( spl52_67
    | spl52_25
    | ~ spl52_8
    | spl52_63 ),
    inference(avatar_split_clause,[],[f19,f622,f380,f452,f642]) ).

fof(f19,plain,
    ! [X107] :
      ( hskp5
      | ~ ndr1_0
      | hskp10
      | c0_1(X107)
      | c3_1(X107)
      | ~ c2_1(X107) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1337,plain,
    ( ~ spl52_135
    | spl52_8 ),
    inference(avatar_split_clause,[],[f97,f380,f974]) ).

fof(f974,plain,
    ( spl52_135
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_135])]) ).

fof(f97,plain,
    ( ndr1_0
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1336,plain,
    ( spl52_200
    | ~ spl52_3 ),
    inference(avatar_split_clause,[],[f59,f359,f1333]) ).

fof(f59,plain,
    ( ~ hskp29
    | c0_1(a618) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1331,plain,
    ( ~ spl52_8
    | ~ spl52_110
    | spl52_36
    | spl52_67 ),
    inference(avatar_split_clause,[],[f319,f642,f500,f842,f380]) ).

fof(f842,plain,
    ( spl52_110
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_110])]) ).

fof(f500,plain,
    ( spl52_36
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_36])]) ).

fof(f319,plain,
    ! [X17] :
      ( ~ c2_1(X17)
      | c0_1(X17)
      | hskp11
      | c3_1(X17)
      | ~ sP6
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f221]) ).

fof(f221,plain,
    ! [X17] :
      ( ~ ndr1_0
      | ~ sP6
      | ~ c2_1(X17)
      | c3_1(X17)
      | hskp11
      | ~ ndr1_0
      | c0_1(X17) ),
    inference(general_splitting,[],[f147,f220_D]) ).

fof(f220,plain,
    ! [X16] :
      ( c1_1(X16)
      | ~ c0_1(X16)
      | sP6
      | c3_1(X16) ),
    inference(cnf_transformation,[],[f220_D]) ).

fof(f220_D,plain,
    ( ! [X16] :
        ( c1_1(X16)
        | ~ c0_1(X16)
        | c3_1(X16) )
  <=> ~ sP6 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP6])]) ).

fof(f147,plain,
    ! [X16,X17] :
      ( ~ ndr1_0
      | c3_1(X16)
      | ~ c0_1(X16)
      | c1_1(X16)
      | hskp11
      | ~ c2_1(X17)
      | ~ ndr1_0
      | c3_1(X17)
      | c0_1(X17) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1330,plain,
    ( spl52_199
    | spl52_24 ),
    inference(avatar_split_clause,[],[f230,f448,f1327]) ).

fof(f1325,plain,
    ( ~ spl52_9
    | spl52_198 ),
    inference(avatar_split_clause,[],[f179,f1322,f384]) ).

fof(f384,plain,
    ( spl52_9
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_9])]) ).

fof(f179,plain,
    ( c2_1(a609)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1320,plain,
    ( spl52_34
    | spl52_143 ),
    inference(avatar_split_clause,[],[f268,f1016,f491]) ).

fof(f1016,plain,
    ( spl52_143
  <=> sP30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_143])]) ).

fof(f268,plain,
    ! [X68] :
      ( sP30
      | c3_1(X68)
      | c2_1(X68)
      | ~ c0_1(X68) ),
    inference(cnf_transformation,[],[f268_D]) ).

fof(f268_D,plain,
    ( ! [X68] :
        ( c3_1(X68)
        | c2_1(X68)
        | ~ c0_1(X68) )
  <=> ~ sP30 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP30])]) ).

fof(f1319,plain,
    ( spl52_197
    | spl52_18 ),
    inference(avatar_split_clause,[],[f298,f423,f1316]) ).

fof(f1314,plain,
    ( spl52_63
    | spl52_66
    | ~ spl52_8
    | spl52_105 ),
    inference(avatar_split_clause,[],[f34,f815,f380,f637,f622]) ).

fof(f34,plain,
    ! [X97] :
      ( ~ c3_1(X97)
      | ~ c1_1(X97)
      | ~ ndr1_0
      | hskp18
      | hskp5
      | ~ c2_1(X97) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1303,plain,
    ( ~ spl52_14
    | ~ spl52_194 ),
    inference(avatar_split_clause,[],[f130,f1300,f405]) ).

fof(f405,plain,
    ( spl52_14
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_14])]) ).

fof(f130,plain,
    ( ~ c1_1(a615)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1298,plain,
    ( ~ spl52_193
    | ~ spl52_66 ),
    inference(avatar_split_clause,[],[f170,f637,f1295]) ).

fof(f170,plain,
    ( ~ hskp18
    | ~ c0_1(a625) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1282,plain,
    ( ~ spl52_1
    | ~ spl52_190 ),
    inference(avatar_split_clause,[],[f40,f1279,f351]) ).

fof(f351,plain,
    ( spl52_1
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_1])]) ).

fof(f40,plain,
    ( ~ c0_1(a656)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1277,plain,
    ( ~ spl52_189
    | ~ spl52_38 ),
    inference(avatar_split_clause,[],[f113,f509,f1274]) ).

fof(f509,plain,
    ( spl52_38
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_38])]) ).

fof(f113,plain,
    ( ~ hskp1
    | ~ c3_1(a594) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1266,plain,
    ( spl52_187
    | ~ spl52_63 ),
    inference(avatar_split_clause,[],[f16,f622,f1263]) ).

fof(f16,plain,
    ( ~ hskp5
    | c3_1(a599) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1261,plain,
    ( ~ spl52_121
    | spl52_186 ),
    inference(avatar_split_clause,[],[f28,f1258,f895]) ).

fof(f895,plain,
    ( spl52_121
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_121])]) ).

fof(f28,plain,
    ( c0_1(a627)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1246,plain,
    ( spl52_183
    | ~ spl52_103 ),
    inference(avatar_split_clause,[],[f49,f806,f1243]) ).

fof(f49,plain,
    ( ~ hskp9
    | c1_1(a604) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1241,plain,
    ( spl52_182
    | ~ spl52_102 ),
    inference(avatar_split_clause,[],[f184,f802,f1238]) ).

fof(f802,plain,
    ( spl52_102
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_102])]) ).

fof(f184,plain,
    ( ~ hskp24
    | c1_1(a651) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1236,plain,
    ( spl52_181
    | spl52_55 ),
    inference(avatar_split_clause,[],[f232,f587,f1233]) ).

fof(f1230,plain,
    ( spl52_27
    | spl52_68
    | spl52_135 ),
    inference(avatar_split_clause,[],[f83,f974,f646,f461]) ).

fof(f83,plain,
    ( hskp26
    | hskp30
    | hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1219,plain,
    ( ~ spl52_8
    | spl52_9
    | spl52_84
    | spl52_178 ),
    inference(avatar_split_clause,[],[f129,f1217,f721,f384,f380]) ).

fof(f129,plain,
    ! [X31] :
      ( ~ c3_1(X31)
      | c1_1(X31)
      | hskp13
      | hskp12
      | ~ ndr1_0
      | ~ c2_1(X31) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1215,plain,
    ( ~ spl52_177
    | ~ spl52_36 ),
    inference(avatar_split_clause,[],[f118,f500,f1212]) ).

fof(f118,plain,
    ( ~ hskp11
    | ~ c3_1(a608) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1210,plain,
    ( ~ spl52_14
    | spl52_176 ),
    inference(avatar_split_clause,[],[f132,f1207,f405]) ).

fof(f132,plain,
    ( c0_1(a615)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1203,plain,
    ( spl52_175
    | ~ spl52_88 ),
    inference(avatar_split_clause,[],[f93,f738,f1200]) ).

fof(f738,plain,
    ( spl52_88
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_88])]) ).

fof(f93,plain,
    ( ~ hskp31
    | c0_1(a672) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1185,plain,
    ( ~ spl52_27
    | ~ spl52_172 ),
    inference(avatar_split_clause,[],[f154,f1182,f461]) ).

fof(f154,plain,
    ( ~ c3_1(a597)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1175,plain,
    ( spl52_22
    | spl52_18 ),
    inference(avatar_split_clause,[],[f222,f423,f439]) ).

fof(f439,plain,
    ( spl52_22
  <=> sP7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_22])]) ).

fof(f222,plain,
    ! [X18] :
      ( c1_1(X18)
      | ~ c3_1(X18)
      | c0_1(X18)
      | sP7 ),
    inference(cnf_transformation,[],[f222_D]) ).

fof(f222_D,plain,
    ( ! [X18] :
        ( c1_1(X18)
        | ~ c3_1(X18)
        | c0_1(X18) )
  <=> ~ sP7 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP7])]) ).

fof(f1169,plain,
    ( ~ spl52_8
    | spl52_52
    | spl52_1 ),
    inference(avatar_split_clause,[],[f202,f351,f574,f380]) ).

fof(f202,plain,
    ! [X0] :
      ( hskp25
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1165,plain,
    ( spl52_38
    | ~ spl52_8
    | ~ spl52_163
    | spl52_100 ),
    inference(avatar_split_clause,[],[f321,f793,f1130,f380,f509]) ).

fof(f1130,plain,
    ( spl52_163
  <=> sP34 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_163])]) ).

fof(f321,plain,
    ! [X75] :
      ( ~ c0_1(X75)
      | ~ sP34
      | ~ ndr1_0
      | hskp1
      | c1_1(X75)
      | ~ c3_1(X75) ),
    inference(duplicate_literal_removal,[],[f277]) ).

fof(f277,plain,
    ! [X75] :
      ( ~ ndr1_0
      | ~ ndr1_0
      | ~ c0_1(X75)
      | hskp1
      | ~ c3_1(X75)
      | c1_1(X75)
      | ~ sP34 ),
    inference(general_splitting,[],[f72,f276_D]) ).

fof(f276,plain,
    ! [X76] :
      ( ~ c1_1(X76)
      | c3_1(X76)
      | c0_1(X76)
      | sP34 ),
    inference(cnf_transformation,[],[f276_D]) ).

fof(f276_D,plain,
    ( ! [X76] :
        ( ~ c1_1(X76)
        | c3_1(X76)
        | c0_1(X76) )
  <=> ~ sP34 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP34])]) ).

fof(f72,plain,
    ! [X76,X75] :
      ( ~ c3_1(X75)
      | ~ c0_1(X75)
      | ~ ndr1_0
      | c1_1(X75)
      | hskp1
      | ~ ndr1_0
      | ~ c1_1(X76)
      | c3_1(X76)
      | c0_1(X76) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1153,plain,
    ( ~ spl52_38
    | spl52_167 ),
    inference(avatar_split_clause,[],[f112,f1150,f509]) ).

fof(f112,plain,
    ( c1_1(a594)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1148,plain,
    ( ~ spl52_27
    | spl52_166 ),
    inference(avatar_split_clause,[],[f153,f1145,f461]) ).

fof(f153,plain,
    ( c1_1(a597)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1133,plain,
    ( spl52_163
    | spl52_5 ),
    inference(avatar_split_clause,[],[f276,f368,f1130]) ).

fof(f1128,plain,
    ( ~ spl52_8
    | ~ spl52_140
    | spl52_59
    | ~ spl52_162 ),
    inference(avatar_split_clause,[],[f323,f1125,f604,f997,f380]) ).

fof(f997,plain,
    ( spl52_140
  <=> sP33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_140])]) ).

fof(f323,plain,
    ! [X74] :
      ( ~ sP32
      | ~ c3_1(X74)
      | ~ c1_1(X74)
      | c0_1(X74)
      | ~ sP33
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f275]) ).

fof(f275,plain,
    ! [X74] :
      ( ~ c1_1(X74)
      | ~ sP32
      | ~ c3_1(X74)
      | ~ ndr1_0
      | c0_1(X74)
      | ~ sP33
      | ~ ndr1_0
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f273,f274_D]) ).

fof(f274,plain,
    ! [X73] :
      ( sP33
      | ~ c2_1(X73)
      | c0_1(X73)
      | ~ c1_1(X73) ),
    inference(cnf_transformation,[],[f274_D]) ).

fof(f274_D,plain,
    ( ! [X73] :
        ( ~ c2_1(X73)
        | c0_1(X73)
        | ~ c1_1(X73) )
  <=> ~ sP33 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP33])]) ).

fof(f273,plain,
    ! [X73,X74] :
      ( ~ ndr1_0
      | c0_1(X73)
      | ~ c1_1(X73)
      | ~ ndr1_0
      | ~ c2_1(X73)
      | ~ ndr1_0
      | ~ c1_1(X74)
      | c0_1(X74)
      | ~ c3_1(X74)
      | ~ sP32 ),
    inference(general_splitting,[],[f73,f272_D]) ).

fof(f73,plain,
    ! [X72,X73,X74] :
      ( ~ c2_1(X72)
      | ~ ndr1_0
      | ~ c1_1(X72)
      | ~ c3_1(X72)
      | c0_1(X73)
      | ~ c1_1(X73)
      | ~ ndr1_0
      | ~ c2_1(X73)
      | ~ ndr1_0
      | ~ c1_1(X74)
      | c0_1(X74)
      | ~ c3_1(X74) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1123,plain,
    ( ~ spl52_121
    | ~ spl52_161 ),
    inference(avatar_split_clause,[],[f30,f1120,f895]) ).

fof(f30,plain,
    ( ~ c2_1(a627)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1113,plain,
    ( ~ spl52_159
    | ~ spl52_9 ),
    inference(avatar_split_clause,[],[f178,f384,f1110]) ).

fof(f178,plain,
    ( ~ hskp12
    | ~ c3_1(a609) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1103,plain,
    ( spl52_38
    | spl52_88
    | spl52_102 ),
    inference(avatar_split_clause,[],[f193,f802,f738,f509]) ).

fof(f193,plain,
    ( hskp24
    | hskp31
    | hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1102,plain,
    ( spl52_91
    | spl52_157 ),
    inference(avatar_split_clause,[],[f296,f1099,f751]) ).

fof(f1097,plain,
    ( spl52_156
    | spl52_11 ),
    inference(avatar_split_clause,[],[f304,f392,f1091]) ).

fof(f1091,plain,
    ( spl52_156
  <=> sP48 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_156])]) ).

fof(f304,plain,
    ! [X108] :
      ( c2_1(X108)
      | ~ c3_1(X108)
      | sP48
      | ~ c1_1(X108) ),
    inference(cnf_transformation,[],[f304_D]) ).

fof(f304_D,plain,
    ( ! [X108] :
        ( c2_1(X108)
        | ~ c3_1(X108)
        | ~ c1_1(X108) )
  <=> ~ sP48 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP48])]) ).

fof(f1096,plain,
    ( ~ spl52_8
    | spl52_31
    | spl52_67
    | spl52_48 ),
    inference(avatar_split_clause,[],[f43,f552,f642,f478,f380]) ).

fof(f478,plain,
    ( spl52_31
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_31])]) ).

fof(f43,plain,
    ! [X89] :
      ( hskp28
      | ~ c2_1(X89)
      | c0_1(X89)
      | hskp7
      | c3_1(X89)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1094,plain,
    ( spl52_48
    | ~ spl52_156
    | ~ spl52_8
    | spl52_5 ),
    inference(avatar_split_clause,[],[f325,f368,f380,f1091,f552]) ).

fof(f325,plain,
    ! [X109] :
      ( c3_1(X109)
      | ~ ndr1_0
      | ~ sP48
      | ~ c1_1(X109)
      | hskp28
      | c0_1(X109) ),
    inference(duplicate_literal_removal,[],[f305]) ).

fof(f305,plain,
    ! [X109] :
      ( ~ ndr1_0
      | hskp28
      | ~ c1_1(X109)
      | ~ sP48
      | c0_1(X109)
      | c3_1(X109)
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f14,f304_D]) ).

fof(f14,plain,
    ! [X108,X109] :
      ( c2_1(X108)
      | ~ ndr1_0
      | ~ c1_1(X108)
      | ~ c3_1(X108)
      | hskp28
      | ~ c1_1(X109)
      | ~ ndr1_0
      | c0_1(X109)
      | c3_1(X109) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1089,plain,
    ( ~ spl52_88
    | spl52_155 ),
    inference(avatar_split_clause,[],[f92,f1086,f738]) ).

fof(f92,plain,
    ( c2_1(a672)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1084,plain,
    ( spl52_154
    | ~ spl52_1 ),
    inference(avatar_split_clause,[],[f37,f351,f1081]) ).

fof(f37,plain,
    ( ~ hskp25
    | c1_1(a656) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1079,plain,
    ( spl52_19
    | spl52_93 ),
    inference(avatar_split_clause,[],[f264,f759,f427]) ).

fof(f759,plain,
    ( spl52_93
  <=> sP28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_93])]) ).

fof(f264,plain,
    ! [X65] :
      ( sP28
      | ~ c0_1(X65)
      | c2_1(X65)
      | ~ c3_1(X65) ),
    inference(cnf_transformation,[],[f264_D]) ).

fof(f264_D,plain,
    ( ! [X65] :
        ( ~ c0_1(X65)
        | c2_1(X65)
        | ~ c3_1(X65) )
  <=> ~ sP28 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP28])]) ).

fof(f1069,plain,
    ( ~ spl52_8
    | spl52_63
    | spl52_87
    | ~ spl52_4 ),
    inference(avatar_split_clause,[],[f327,f364,f734,f622,f380]) ).

fof(f364,plain,
    ( spl52_4
  <=> sP18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_4])]) ).

fof(f327,plain,
    ! [X43] :
      ( ~ sP18
      | c2_1(X43)
      | hskp5
      | c0_1(X43)
      | ~ ndr1_0
      | c3_1(X43) ),
    inference(duplicate_literal_removal,[],[f245]) ).

fof(f245,plain,
    ! [X43] :
      ( c3_1(X43)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp5
      | ~ sP18
      | c0_1(X43)
      | c2_1(X43) ),
    inference(general_splitting,[],[f121,f244_D]) ).

fof(f244,plain,
    ! [X42] :
      ( c3_1(X42)
      | c0_1(X42)
      | sP18
      | ~ c1_1(X42) ),
    inference(cnf_transformation,[],[f244_D]) ).

fof(f244_D,plain,
    ( ! [X42] :
        ( c3_1(X42)
        | c0_1(X42)
        | ~ c1_1(X42) )
  <=> ~ sP18 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP18])]) ).

fof(f121,plain,
    ! [X42,X43] :
      ( hskp5
      | ~ ndr1_0
      | c3_1(X42)
      | ~ c1_1(X42)
      | c0_1(X42)
      | ~ ndr1_0
      | c0_1(X43)
      | c3_1(X43)
      | c2_1(X43) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1065,plain,
    ( spl52_35
    | spl52_27
    | spl52_84 ),
    inference(avatar_split_clause,[],[f82,f721,f461,f495]) ).

fof(f82,plain,
    ( hskp13
    | hskp3
    | hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1059,plain,
    ( ~ spl52_102
    | ~ spl52_150 ),
    inference(avatar_split_clause,[],[f182,f1056,f802]) ).

fof(f182,plain,
    ( ~ c2_1(a651)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1052,plain,
    ( ~ spl52_149
    | ~ spl52_63 ),
    inference(avatar_split_clause,[],[f15,f622,f1049]) ).

fof(f15,plain,
    ( ~ hskp5
    | ~ c1_1(a599) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1047,plain,
    ( ~ spl52_103
    | spl52_148 ),
    inference(avatar_split_clause,[],[f48,f1044,f806]) ).

fof(f48,plain,
    ( c2_1(a604)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1037,plain,
    ( spl52_34
    | spl52_139 ),
    inference(avatar_split_clause,[],[f260,f992,f491]) ).

fof(f992,plain,
    ( spl52_139
  <=> sP26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_139])]) ).

fof(f260,plain,
    ! [X59] :
      ( sP26
      | c2_1(X59)
      | ~ c0_1(X59)
      | c3_1(X59) ),
    inference(cnf_transformation,[],[f260_D]) ).

fof(f260_D,plain,
    ( ! [X59] :
        ( c2_1(X59)
        | ~ c0_1(X59)
        | c3_1(X59) )
  <=> ~ sP26 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP26])]) ).

fof(f1036,plain,
    ( spl52_91
    | spl52_32 ),
    inference(avatar_split_clause,[],[f236,f483,f751]) ).

fof(f483,plain,
    ( spl52_32
  <=> sP14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_32])]) ).

fof(f236,plain,
    ! [X29] :
      ( sP14
      | c1_1(X29)
      | c0_1(X29)
      | c2_1(X29) ),
    inference(cnf_transformation,[],[f236_D]) ).

fof(f236_D,plain,
    ( ! [X29] :
        ( c1_1(X29)
        | c0_1(X29)
        | c2_1(X29) )
  <=> ~ sP14 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP14])]) ).

fof(f1034,plain,
    ( ~ spl52_25
    | spl52_146 ),
    inference(avatar_split_clause,[],[f76,f1031,f452]) ).

fof(f76,plain,
    ( c0_1(a605)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1029,plain,
    ( spl52_145
    | spl52_18 ),
    inference(avatar_split_clause,[],[f280,f423,f1026]) ).

fof(f1019,plain,
    ( spl52_71
    | ~ spl52_143
    | spl52_3
    | ~ spl52_8 ),
    inference(avatar_split_clause,[],[f330,f380,f359,f1016,f659]) ).

fof(f330,plain,
    ! [X69] :
      ( ~ ndr1_0
      | hskp29
      | ~ sP30
      | ~ c1_1(X69)
      | ~ c0_1(X69)
      | c2_1(X69) ),
    inference(duplicate_literal_removal,[],[f269]) ).

fof(f269,plain,
    ! [X69] :
      ( hskp29
      | ~ c0_1(X69)
      | ~ sP30
      | ~ c1_1(X69)
      | c2_1(X69)
      | ~ ndr1_0
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f80,f268_D]) ).

fof(f80,plain,
    ! [X68,X69] :
      ( c3_1(X68)
      | ~ ndr1_0
      | c2_1(X68)
      | ~ c0_1(X68)
      | hskp29
      | ~ c1_1(X69)
      | ~ ndr1_0
      | c2_1(X69)
      | ~ c0_1(X69) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1013,plain,
    ( spl52_142
    | ~ spl52_76 ),
    inference(avatar_split_clause,[],[f163,f682,f1010]) ).

fof(f163,plain,
    ( ~ hskp6
    | c3_1(a600) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1007,plain,
    ( spl52_13
    | spl52_48
    | ~ spl52_8
    | spl52_52 ),
    inference(avatar_split_clause,[],[f106,f574,f380,f552,f400]) ).

fof(f400,plain,
    ( spl52_13
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_13])]) ).

fof(f106,plain,
    ! [X47] :
      ( c3_1(X47)
      | ~ ndr1_0
      | hskp28
      | ~ c0_1(X47)
      | ~ c2_1(X47)
      | hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1006,plain,
    ( spl52_141
    | ~ spl52_25 ),
    inference(avatar_split_clause,[],[f75,f452,f1003]) ).

fof(f75,plain,
    ( ~ hskp10
    | c2_1(a605) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1000,plain,
    ( spl52_6
    | spl52_140 ),
    inference(avatar_split_clause,[],[f274,f997,f372]) ).

fof(f995,plain,
    ( ~ spl52_8
    | spl52_68
    | ~ spl52_139
    | spl52_40 ),
    inference(avatar_split_clause,[],[f332,f518,f992,f646,f380]) ).

fof(f332,plain,
    ! [X60] :
      ( ~ c0_1(X60)
      | ~ c2_1(X60)
      | ~ c3_1(X60)
      | ~ sP26
      | hskp30
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f261]) ).

fof(f261,plain,
    ! [X60] :
      ( ~ ndr1_0
      | hskp30
      | ~ sP26
      | ~ c0_1(X60)
      | ~ c2_1(X60)
      | ~ c3_1(X60)
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f87,f260_D]) ).

fof(f87,plain,
    ! [X59,X60] :
      ( c3_1(X59)
      | ~ c0_1(X59)
      | ~ ndr1_0
      | c2_1(X59)
      | hskp30
      | ~ ndr1_0
      | ~ c2_1(X60)
      | ~ c0_1(X60)
      | ~ c3_1(X60) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f990,plain,
    ( spl52_132
    | spl52_138 ),
    inference(avatar_split_clause,[],[f226,f988,f958]) ).

fof(f958,plain,
    ( spl52_132
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_132])]) ).

fof(f226,plain,
    ! [X21] :
      ( c0_1(X21)
      | sP9
      | ~ c2_1(X21)
      | c1_1(X21) ),
    inference(cnf_transformation,[],[f226_D]) ).

fof(f226_D,plain,
    ( ! [X21] :
        ( c0_1(X21)
        | ~ c2_1(X21)
        | c1_1(X21) )
  <=> ~ sP9 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP9])]) ).

fof(f986,plain,
    ( ~ spl52_121
    | ~ spl52_137 ),
    inference(avatar_split_clause,[],[f29,f983,f895]) ).

fof(f29,plain,
    ( ~ c3_1(a627)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f972,plain,
    ( spl52_40
    | ~ spl52_56
    | spl52_103
    | ~ spl52_8 ),
    inference(avatar_split_clause,[],[f333,f380,f806,f590,f518]) ).

fof(f590,plain,
    ( spl52_56
  <=> sP27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_56])]) ).

fof(f333,plain,
    ! [X61] :
      ( ~ ndr1_0
      | hskp9
      | ~ sP27
      | ~ c3_1(X61)
      | ~ c0_1(X61)
      | ~ c2_1(X61) ),
    inference(duplicate_literal_removal,[],[f263]) ).

fof(f263,plain,
    ! [X61] :
      ( ~ c2_1(X61)
      | ~ ndr1_0
      | hskp9
      | ~ c0_1(X61)
      | ~ sP27
      | ~ c3_1(X61)
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f86,f262_D]) ).

fof(f262,plain,
    ! [X62] :
      ( sP27
      | c0_1(X62)
      | c2_1(X62)
      | ~ c1_1(X62) ),
    inference(cnf_transformation,[],[f262_D]) ).

fof(f262_D,plain,
    ( ! [X62] :
        ( c0_1(X62)
        | c2_1(X62)
        | ~ c1_1(X62) )
  <=> ~ sP27 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP27])]) ).

fof(f86,plain,
    ! [X62,X61] :
      ( hskp9
      | ~ c3_1(X61)
      | ~ c2_1(X61)
      | ~ ndr1_0
      | ~ c0_1(X61)
      | ~ c1_1(X62)
      | c0_1(X62)
      | c2_1(X62)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f961,plain,
    ( ~ spl52_132
    | ~ spl52_8
    | spl52_100
    | spl52_38 ),
    inference(avatar_split_clause,[],[f334,f509,f793,f380,f958]) ).

fof(f334,plain,
    ! [X22] :
      ( hskp1
      | ~ c3_1(X22)
      | c1_1(X22)
      | ~ c0_1(X22)
      | ~ ndr1_0
      | ~ sP9 ),
    inference(duplicate_literal_removal,[],[f227]) ).

fof(f227,plain,
    ! [X22] :
      ( hskp1
      | ~ sP9
      | ~ c3_1(X22)
      | ~ ndr1_0
      | c1_1(X22)
      | ~ c0_1(X22)
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f141,f226_D]) ).

fof(f141,plain,
    ! [X21,X22] :
      ( hskp1
      | ~ ndr1_0
      | c0_1(X21)
      | ~ c2_1(X21)
      | c1_1(X21)
      | c1_1(X22)
      | ~ ndr1_0
      | ~ c0_1(X22)
      | ~ c3_1(X22) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f956,plain,
    ( ~ spl52_31
    | ~ spl52_131 ),
    inference(avatar_split_clause,[],[f191,f953,f478]) ).

fof(f191,plain,
    ( ~ c0_1(a602)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f950,plain,
    ( ~ spl52_48
    | spl52_130 ),
    inference(avatar_split_clause,[],[f62,f947,f552]) ).

fof(f62,plain,
    ( c2_1(a595)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f935,plain,
    ( ~ spl52_84
    | ~ spl52_127 ),
    inference(avatar_split_clause,[],[f24,f932,f721]) ).

fof(f24,plain,
    ( ~ c2_1(a614)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f929,plain,
    ( spl52_11
    | ~ spl52_8
    | spl52_76
    | spl52_3 ),
    inference(avatar_split_clause,[],[f81,f359,f682,f380,f392]) ).

fof(f81,plain,
    ! [X67] :
      ( hskp29
      | hskp6
      | ~ ndr1_0
      | c2_1(X67)
      | ~ c3_1(X67)
      | ~ c1_1(X67) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f928,plain,
    ( spl52_80
    | spl52_55 ),
    inference(avatar_split_clause,[],[f290,f587,f702]) ).

fof(f702,plain,
    ( spl52_80
  <=> sP41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_80])]) ).

fof(f290,plain,
    ! [X94] :
      ( c0_1(X94)
      | ~ c1_1(X94)
      | sP41
      | c2_1(X94) ),
    inference(cnf_transformation,[],[f290_D]) ).

fof(f290_D,plain,
    ( ! [X94] :
        ( c0_1(X94)
        | ~ c1_1(X94)
        | c2_1(X94) )
  <=> ~ sP41 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP41])]) ).

fof(f927,plain,
    ( spl52_126
    | ~ spl52_102 ),
    inference(avatar_split_clause,[],[f183,f802,f924]) ).

fof(f183,plain,
    ( ~ hskp24
    | c3_1(a651) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f916,plain,
    ( ~ spl52_119
    | spl52_66
    | spl52_81
    | ~ spl52_8 ),
    inference(avatar_split_clause,[],[f335,f380,f706,f637,f887]) ).

fof(f887,plain,
    ( spl52_119
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_119])]) ).

fof(f335,plain,
    ! [X15] :
      ( ~ ndr1_0
      | c1_1(X15)
      | hskp18
      | ~ c2_1(X15)
      | ~ sP5
      | c3_1(X15) ),
    inference(duplicate_literal_removal,[],[f219]) ).

fof(f219,plain,
    ! [X15] :
      ( hskp18
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c2_1(X15)
      | ~ sP5
      | c3_1(X15)
      | c1_1(X15) ),
    inference(general_splitting,[],[f148,f218_D]) ).

fof(f218,plain,
    ! [X14] :
      ( ~ c0_1(X14)
      | ~ c1_1(X14)
      | sP5
      | ~ c3_1(X14) ),
    inference(cnf_transformation,[],[f218_D]) ).

fof(f218_D,plain,
    ( ! [X14] :
        ( ~ c0_1(X14)
        | ~ c1_1(X14)
        | ~ c3_1(X14) )
  <=> ~ sP5 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).

fof(f148,plain,
    ! [X14,X15] :
      ( ~ ndr1_0
      | ~ c0_1(X14)
      | ~ c3_1(X14)
      | ~ c1_1(X14)
      | c1_1(X15)
      | ~ ndr1_0
      | ~ c2_1(X15)
      | c3_1(X15)
      | hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f915,plain,
    ( spl52_9
    | spl52_25
    | spl52_103 ),
    inference(avatar_split_clause,[],[f44,f806,f452,f384]) ).

fof(f44,plain,
    ( hskp9
    | hskp10
    | hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f914,plain,
    ( ~ spl52_68
    | spl52_124 ),
    inference(avatar_split_clause,[],[f145,f911,f646]) ).

fof(f145,plain,
    ( c2_1(a637)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f909,plain,
    ( ~ spl52_13
    | ~ spl52_123 ),
    inference(avatar_split_clause,[],[f138,f906,f400]) ).

fof(f138,plain,
    ( ~ c1_1(a598)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f904,plain,
    ( spl52_122
    | ~ spl52_38 ),
    inference(avatar_split_clause,[],[f115,f509,f901]) ).

fof(f115,plain,
    ( ~ hskp1
    | c0_1(a594) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f898,plain,
    ( spl52_31
    | spl52_81
    | spl52_121
    | ~ spl52_8 ),
    inference(avatar_split_clause,[],[f187,f380,f895,f706,f478]) ).

fof(f187,plain,
    ! [X2] :
      ( ~ ndr1_0
      | hskp19
      | c3_1(X2)
      | ~ c2_1(X2)
      | c1_1(X2)
      | hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f893,plain,
    ( spl52_119
    | spl52_120 ),
    inference(avatar_split_clause,[],[f218,f891,f887]) ).

fof(f885,plain,
    ( spl52_23
    | spl52_87 ),
    inference(avatar_split_clause,[],[f254,f734,f444]) ).

fof(f444,plain,
    ( spl52_23
  <=> sP23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_23])]) ).

fof(f254,plain,
    ! [X56] :
      ( c0_1(X56)
      | c2_1(X56)
      | sP23
      | c3_1(X56) ),
    inference(cnf_transformation,[],[f254_D]) ).

fof(f254_D,plain,
    ( ! [X56] :
        ( c0_1(X56)
        | c2_1(X56)
        | c3_1(X56) )
  <=> ~ sP23 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP23])]) ).

fof(f868,plain,
    ( ~ spl52_31
    | spl52_115 ),
    inference(avatar_split_clause,[],[f192,f865,f478]) ).

fof(f192,plain,
    ( c2_1(a602)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f853,plain,
    ( spl52_112
    | ~ spl52_63 ),
    inference(avatar_split_clause,[],[f18,f622,f850]) ).

fof(f18,plain,
    ( ~ hskp5
    | c2_1(a599) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f848,plain,
    ( spl52_110
    | spl52_111 ),
    inference(avatar_split_clause,[],[f220,f846,f842]) ).

fof(f840,plain,
    ( spl52_109
    | ~ spl52_68 ),
    inference(avatar_split_clause,[],[f143,f646,f837]) ).

fof(f143,plain,
    ( ~ hskp30
    | c1_1(a637) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f835,plain,
    ( ~ spl52_36
    | spl52_108 ),
    inference(avatar_split_clause,[],[f120,f832,f500]) ).

fof(f120,plain,
    ( c1_1(a608)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f830,plain,
    ( ~ spl52_8
    | spl52_14
    | spl52_52 ),
    inference(avatar_split_clause,[],[f122,f574,f405,f380]) ).

fof(f122,plain,
    ! [X41] :
      ( ~ c0_1(X41)
      | c3_1(X41)
      | ~ c2_1(X41)
      | hskp14
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f809,plain,
    ( spl52_102
    | spl52_103 ),
    inference(avatar_split_clause,[],[f21,f806,f802]) ).

fof(f21,plain,
    ( hskp9
    | hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f800,plain,
    ( ~ spl52_3
    | spl52_101 ),
    inference(avatar_split_clause,[],[f58,f797,f359]) ).

fof(f58,plain,
    ( c1_1(a618)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f783,plain,
    ( ~ spl52_84
    | spl52_8 ),
    inference(avatar_split_clause,[],[f25,f380,f721]) ).

fof(f25,plain,
    ( ndr1_0
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f767,plain,
    ( ~ spl52_94
    | ~ spl52_9 ),
    inference(avatar_split_clause,[],[f177,f384,f764]) ).

fof(f177,plain,
    ( ~ hskp12
    | ~ c1_1(a609) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f762,plain,
    ( ~ spl52_8
    | ~ spl52_93
    | ~ spl52_72
    | spl52_24 ),
    inference(avatar_split_clause,[],[f339,f448,f663,f759,f380]) ).

fof(f663,plain,
    ( spl52_72
  <=> sP29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_72])]) ).

fof(f339,plain,
    ! [X64] :
      ( ~ c2_1(X64)
      | ~ sP29
      | ~ c3_1(X64)
      | ~ sP28
      | ~ ndr1_0
      | c0_1(X64) ),
    inference(duplicate_literal_removal,[],[f267]) ).

fof(f267,plain,
    ! [X64] :
      ( ~ c3_1(X64)
      | ~ sP28
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c2_1(X64)
      | c0_1(X64)
      | ~ sP29
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f265,f266_D]) ).

fof(f266,plain,
    ! [X63] :
      ( c1_1(X63)
      | c0_1(X63)
      | sP29
      | ~ c3_1(X63) ),
    inference(cnf_transformation,[],[f266_D]) ).

fof(f266_D,plain,
    ( ! [X63] :
        ( c1_1(X63)
        | c0_1(X63)
        | ~ c3_1(X63) )
  <=> ~ sP29 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP29])]) ).

fof(f265,plain,
    ! [X63,X64] :
      ( ~ c3_1(X63)
      | c0_1(X63)
      | ~ ndr1_0
      | c1_1(X63)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | ~ c2_1(X64)
      | c0_1(X64)
      | ~ ndr1_0
      | ~ sP28 ),
    inference(general_splitting,[],[f85,f264_D]) ).

fof(f85,plain,
    ! [X65,X63,X64] :
      ( ~ c3_1(X63)
      | c0_1(X63)
      | ~ ndr1_0
      | c1_1(X63)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | ~ c2_1(X64)
      | c0_1(X64)
      | ~ ndr1_0
      | ~ c0_1(X65)
      | c2_1(X65)
      | ~ c3_1(X65) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f745,plain,
    ( spl52_9
    | ~ spl52_8
    | spl52_89
    | ~ spl52_20 ),
    inference(avatar_split_clause,[],[f341,f430,f743,f380,f384]) ).

fof(f430,plain,
    ( spl52_20
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_20])]) ).

fof(f341,plain,
    ! [X13] :
      ( ~ sP4
      | ~ c0_1(X13)
      | ~ ndr1_0
      | c2_1(X13)
      | c1_1(X13)
      | hskp12 ),
    inference(duplicate_literal_removal,[],[f217]) ).

fof(f217,plain,
    ! [X13] :
      ( c1_1(X13)
      | c2_1(X13)
      | ~ c0_1(X13)
      | ~ sP4
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp12 ),
    inference(general_splitting,[],[f161,f216_D]) ).

fof(f216,plain,
    ! [X12] :
      ( sP4
      | c2_1(X12)
      | ~ c3_1(X12)
      | ~ c0_1(X12) ),
    inference(cnf_transformation,[],[f216_D]) ).

fof(f216_D,plain,
    ( ! [X12] :
        ( c2_1(X12)
        | ~ c3_1(X12)
        | ~ c0_1(X12) )
  <=> ~ sP4 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).

fof(f161,plain,
    ! [X12,X13] :
      ( hskp12
      | ~ c0_1(X12)
      | ~ ndr1_0
      | ~ c3_1(X12)
      | c2_1(X12)
      | c1_1(X13)
      | ~ ndr1_0
      | ~ c0_1(X13)
      | c2_1(X13) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f728,plain,
    ( ~ spl52_84
    | ~ spl52_85 ),
    inference(avatar_split_clause,[],[f23,f725,f721]) ).

fof(f23,plain,
    ( ~ c3_1(a614)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f719,plain,
    ( ~ spl52_1
    | spl52_83 ),
    inference(avatar_split_clause,[],[f38,f716,f351]) ).

fof(f38,plain,
    ( c3_1(a656)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f708,plain,
    ( ~ spl52_8
    | ~ spl52_80
    | ~ spl52_41
    | spl52_81 ),
    inference(avatar_split_clause,[],[f342,f706,f521,f702,f380]) ).

fof(f521,plain,
    ( spl52_41
  <=> sP42 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_41])]) ).

fof(f342,plain,
    ! [X93] :
      ( c3_1(X93)
      | c1_1(X93)
      | ~ sP42
      | ~ sP41
      | ~ ndr1_0
      | ~ c2_1(X93) ),
    inference(duplicate_literal_removal,[],[f293]) ).

fof(f293,plain,
    ! [X93] :
      ( ~ sP41
      | ~ ndr1_0
      | ~ c2_1(X93)
      | ~ sP42
      | ~ ndr1_0
      | ~ ndr1_0
      | c3_1(X93)
      | c1_1(X93) ),
    inference(general_splitting,[],[f291,f292_D]) ).

fof(f292,plain,
    ! [X92] :
      ( sP42
      | ~ c3_1(X92)
      | ~ c2_1(X92)
      | ~ c0_1(X92) ),
    inference(cnf_transformation,[],[f292_D]) ).

fof(f292_D,plain,
    ( ! [X92] :
        ( ~ c3_1(X92)
        | ~ c2_1(X92)
        | ~ c0_1(X92) )
  <=> ~ sP42 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP42])]) ).

fof(f291,plain,
    ! [X92,X93] :
      ( ~ c0_1(X92)
      | ~ c2_1(X92)
      | ~ c3_1(X92)
      | ~ ndr1_0
      | c3_1(X93)
      | ~ c2_1(X93)
      | c1_1(X93)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP41 ),
    inference(general_splitting,[],[f41,f290_D]) ).

fof(f41,plain,
    ! [X94,X92,X93] :
      ( ~ c0_1(X92)
      | ~ c2_1(X92)
      | ~ c3_1(X92)
      | ~ ndr1_0
      | c3_1(X93)
      | ~ c2_1(X93)
      | c1_1(X93)
      | ~ ndr1_0
      | c2_1(X94)
      | c0_1(X94)
      | ~ ndr1_0
      | ~ c1_1(X94) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f699,plain,
    ( ~ spl52_14
    | spl52_79 ),
    inference(avatar_split_clause,[],[f131,f696,f405]) ).

fof(f131,plain,
    ( c2_1(a615)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f685,plain,
    ( ~ spl52_75
    | ~ spl52_76 ),
    inference(avatar_split_clause,[],[f164,f682,f678]) ).

fof(f164,plain,
    ( ~ hskp6
    | ~ c2_1(a600) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f666,plain,
    ( spl52_72
    | spl52_18 ),
    inference(avatar_split_clause,[],[f266,f423,f663]) ).

fof(f653,plain,
    ( ~ spl52_68
    | spl52_69 ),
    inference(avatar_split_clause,[],[f142,f650,f646]) ).

fof(f142,plain,
    ( c0_1(a637)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f640,plain,
    ( spl52_25
    | spl52_9
    | spl52_66 ),
    inference(avatar_split_clause,[],[f27,f637,f384,f452]) ).

fof(f27,plain,
    ( hskp18
    | hskp12
    | hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f635,plain,
    ( ~ spl52_65
    | ~ spl52_13 ),
    inference(avatar_split_clause,[],[f136,f400,f632]) ).

fof(f136,plain,
    ( ~ hskp4
    | ~ c2_1(a598) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f625,plain,
    ( ~ spl52_8
    | spl52_25
    | spl52_63
    | spl52_11 ),
    inference(avatar_split_clause,[],[f95,f392,f622,f452,f380]) ).

fof(f95,plain,
    ! [X51] :
      ( c2_1(X51)
      | hskp5
      | ~ c3_1(X51)
      | hskp10
      | ~ c1_1(X51)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f620,plain,
    ( ~ spl52_62
    | ~ spl52_43
    | ~ spl52_8
    | spl52_29 ),
    inference(avatar_split_clause,[],[f344,f470,f380,f529,f617]) ).

fof(f529,plain,
    ( spl52_43
  <=> sP16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_43])]) ).

fof(f344,plain,
    ! [X33] :
      ( ~ c2_1(X33)
      | ~ c0_1(X33)
      | ~ c1_1(X33)
      | ~ ndr1_0
      | ~ sP16
      | ~ sP15 ),
    inference(duplicate_literal_removal,[],[f241]) ).

fof(f241,plain,
    ! [X33] :
      ( ~ c1_1(X33)
      | ~ ndr1_0
      | ~ c0_1(X33)
      | ~ sP16
      | ~ ndr1_0
      | ~ c2_1(X33)
      | ~ sP15
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f239,f240_D]) ).

fof(f240,plain,
    ! [X32] :
      ( sP16
      | c2_1(X32)
      | c3_1(X32)
      | ~ c1_1(X32) ),
    inference(cnf_transformation,[],[f240_D]) ).

fof(f240_D,plain,
    ( ! [X32] :
        ( c2_1(X32)
        | c3_1(X32)
        | ~ c1_1(X32) )
  <=> ~ sP16 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP16])]) ).

fof(f239,plain,
    ! [X32,X33] :
      ( c2_1(X32)
      | c3_1(X32)
      | ~ c1_1(X32)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c2_1(X33)
      | ~ c1_1(X33)
      | ~ c0_1(X33)
      | ~ ndr1_0
      | ~ sP15 ),
    inference(general_splitting,[],[f128,f238_D]) ).

fof(f128,plain,
    ! [X34,X32,X33] :
      ( c2_1(X32)
      | c3_1(X32)
      | ~ c1_1(X32)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c2_1(X33)
      | ~ c1_1(X33)
      | ~ c0_1(X33)
      | ~ c3_1(X34)
      | ~ c0_1(X34)
      | ~ c2_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f598,plain,
    ( spl52_40
    | spl52_57 ),
    inference(avatar_split_clause,[],[f278,f595,f518]) ).

fof(f593,plain,
    ( spl52_55
    | spl52_56 ),
    inference(avatar_split_clause,[],[f262,f590,f587]) ).

fof(f572,plain,
    ( spl52_21
    | spl52_51 ),
    inference(avatar_split_clause,[],[f224,f569,f435]) ).

fof(f435,plain,
    ( spl52_21
  <=> sP8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_21])]) ).

fof(f224,plain,
    ! [X19] :
      ( c3_1(X19)
      | ~ c1_1(X19)
      | ~ c0_1(X19)
      | sP8 ),
    inference(cnf_transformation,[],[f224_D]) ).

fof(f224_D,plain,
    ( ! [X19] :
        ( c3_1(X19)
        | ~ c1_1(X19)
        | ~ c0_1(X19) )
  <=> ~ sP8 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP8])]) ).

fof(f562,plain,
    ( spl52_33
    | spl52_19 ),
    inference(avatar_split_clause,[],[f234,f427,f487]) ).

fof(f487,plain,
    ( spl52_33
  <=> sP13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_33])]) ).

fof(f234,plain,
    ! [X28] :
      ( ~ c3_1(X28)
      | c2_1(X28)
      | ~ c0_1(X28)
      | sP13 ),
    inference(cnf_transformation,[],[f234_D]) ).

fof(f234_D,plain,
    ( ! [X28] :
        ( ~ c3_1(X28)
        | c2_1(X28)
        | ~ c0_1(X28) )
  <=> ~ sP13 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP13])]) ).

fof(f555,plain,
    ( spl52_47
    | ~ spl52_48 ),
    inference(avatar_split_clause,[],[f65,f552,f548]) ).

fof(f65,plain,
    ( ~ hskp28
    | c3_1(a595) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f532,plain,
    ( spl52_42
    | spl52_43 ),
    inference(avatar_split_clause,[],[f240,f529,f526]) ).

fof(f524,plain,
    ( spl52_40
    | spl52_41 ),
    inference(avatar_split_clause,[],[f292,f521,f518]) ).

fof(f507,plain,
    ( ~ spl52_36
    | ~ spl52_37 ),
    inference(avatar_split_clause,[],[f119,f504,f500]) ).

fof(f119,plain,
    ( ~ c0_1(a608)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f493,plain,
    ( ~ spl52_32
    | ~ spl52_33
    | spl52_34
    | ~ spl52_8 ),
    inference(avatar_split_clause,[],[f346,f380,f491,f487,f483]) ).

fof(f346,plain,
    ! [X30] :
      ( ~ ndr1_0
      | c3_1(X30)
      | ~ sP13
      | c2_1(X30)
      | ~ sP14
      | ~ c0_1(X30) ),
    inference(duplicate_literal_removal,[],[f237]) ).

fof(f237,plain,
    ! [X30] :
      ( ~ ndr1_0
      | ~ ndr1_0
      | c2_1(X30)
      | ~ sP13
      | ~ ndr1_0
      | ~ sP14
      | c3_1(X30)
      | ~ c0_1(X30) ),
    inference(general_splitting,[],[f235,f236_D]) ).

fof(f235,plain,
    ! [X29,X30] :
      ( ~ ndr1_0
      | c2_1(X29)
      | c1_1(X29)
      | ~ ndr1_0
      | c0_1(X29)
      | c2_1(X30)
      | c3_1(X30)
      | ~ c0_1(X30)
      | ~ ndr1_0
      | ~ sP13 ),
    inference(general_splitting,[],[f134,f234_D]) ).

fof(f134,plain,
    ! [X28,X29,X30] :
      ( c2_1(X28)
      | ~ c0_1(X28)
      | ~ ndr1_0
      | ~ c3_1(X28)
      | c2_1(X29)
      | c1_1(X29)
      | ~ ndr1_0
      | c0_1(X29)
      | c2_1(X30)
      | c3_1(X30)
      | ~ c0_1(X30)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f481,plain,
    ( spl52_30
    | ~ spl52_31 ),
    inference(avatar_split_clause,[],[f189,f478,f474]) ).

fof(f189,plain,
    ( ~ hskp7
    | c3_1(a602) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f464,plain,
    ( ~ spl52_27
    | spl52_8 ),
    inference(avatar_split_clause,[],[f155,f380,f461]) ).

fof(f155,plain,
    ( ndr1_0
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f459,plain,
    ( ~ spl52_25
    | ~ spl52_26 ),
    inference(avatar_split_clause,[],[f77,f456,f452]) ).

fof(f77,plain,
    ( ~ c3_1(a605)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f450,plain,
    ( ~ spl52_23
    | ~ spl52_17
    | ~ spl52_8
    | spl52_24 ),
    inference(avatar_split_clause,[],[f347,f448,f380,f419,f444]) ).

fof(f419,plain,
    ( spl52_17
  <=> sP24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_17])]) ).

fof(f347,plain,
    ! [X55] :
      ( c0_1(X55)
      | ~ ndr1_0
      | ~ sP24
      | ~ c2_1(X55)
      | ~ c3_1(X55)
      | ~ sP23 ),
    inference(duplicate_literal_removal,[],[f257]) ).

fof(f257,plain,
    ! [X55] :
      ( ~ sP24
      | ~ ndr1_0
      | c0_1(X55)
      | ~ sP23
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c2_1(X55)
      | ~ c3_1(X55) ),
    inference(general_splitting,[],[f255,f256_D]) ).

fof(f256,plain,
    ! [X54] :
      ( c0_1(X54)
      | ~ c3_1(X54)
      | sP24
      | c1_1(X54) ),
    inference(cnf_transformation,[],[f256_D]) ).

fof(f256_D,plain,
    ( ! [X54] :
        ( c0_1(X54)
        | ~ c3_1(X54)
        | c1_1(X54) )
  <=> ~ sP24 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP24])]) ).

fof(f255,plain,
    ! [X54,X55] :
      ( c0_1(X54)
      | c1_1(X54)
      | ~ c3_1(X54)
      | ~ ndr1_0
      | ~ c2_1(X55)
      | c0_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP23 ),
    inference(general_splitting,[],[f89,f254_D]) ).

fof(f89,plain,
    ! [X56,X54,X55] :
      ( c0_1(X54)
      | c1_1(X54)
      | ~ c3_1(X54)
      | ~ ndr1_0
      | ~ c2_1(X55)
      | c0_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0
      | c0_1(X56)
      | c3_1(X56)
      | ~ ndr1_0
      | c2_1(X56) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f442,plain,
    ( ~ spl52_21
    | ~ spl52_22
    | ~ spl52_8
    | spl52_5 ),
    inference(avatar_split_clause,[],[f348,f368,f380,f439,f435]) ).

fof(f348,plain,
    ! [X20] :
      ( ~ c1_1(X20)
      | c0_1(X20)
      | ~ ndr1_0
      | ~ sP7
      | c3_1(X20)
      | ~ sP8 ),
    inference(duplicate_literal_removal,[],[f225]) ).

fof(f225,plain,
    ! [X20] :
      ( ~ sP7
      | ~ ndr1_0
      | ~ ndr1_0
      | c0_1(X20)
      | c3_1(X20)
      | ~ ndr1_0
      | ~ sP8
      | ~ c1_1(X20) ),
    inference(general_splitting,[],[f223,f224_D]) ).

fof(f223,plain,
    ! [X19,X20] :
      ( ~ ndr1_0
      | ~ ndr1_0
      | c3_1(X19)
      | ~ c0_1(X19)
      | ~ c1_1(X19)
      | ~ c1_1(X20)
      | ~ ndr1_0
      | c3_1(X20)
      | c0_1(X20)
      | ~ sP7 ),
    inference(general_splitting,[],[f146,f222_D]) ).

fof(f146,plain,
    ! [X18,X19,X20] :
      ( c1_1(X18)
      | c0_1(X18)
      | ~ ndr1_0
      | ~ c3_1(X18)
      | ~ ndr1_0
      | c3_1(X19)
      | ~ c0_1(X19)
      | ~ c1_1(X19)
      | ~ c1_1(X20)
      | ~ ndr1_0
      | c3_1(X20)
      | c0_1(X20) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f433,plain,
    ( spl52_19
    | spl52_20 ),
    inference(avatar_split_clause,[],[f216,f430,f427]) ).

fof(f425,plain,
    ( spl52_17
    | spl52_18 ),
    inference(avatar_split_clause,[],[f256,f423,f419]) ).

fof(f403,plain,
    ( ~ spl52_12
    | ~ spl52_13 ),
    inference(avatar_split_clause,[],[f139,f400,f396]) ).

fof(f139,plain,
    ( ~ hskp4
    | ~ c0_1(a598) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f370,plain,
    ( spl52_4
    | spl52_5 ),
    inference(avatar_split_clause,[],[f244,f368,f364]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN471+1 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n016.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 22:20:01 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.53  % (13789)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53  % (13793)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  % (13790)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56  % (13797)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.56  % (13806)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.56  % (13805)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.57  % (13817)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.57  Detected maximum model sizes of [32]
% 0.20/0.57  % (13797)Instruction limit reached!
% 0.20/0.57  % (13797)------------------------------
% 0.20/0.57  % (13797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (13797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (13797)Termination reason: Unknown
% 0.20/0.57  % (13797)Termination phase: Preprocessing 1
% 0.20/0.57  
% 0.20/0.57  % (13797)Memory used [KB]: 1151
% 0.20/0.57  % (13797)Time elapsed: 0.004 s
% 0.20/0.57  % (13797)Instructions burned: 2 (million)
% 0.20/0.57  % (13797)------------------------------
% 0.20/0.57  % (13797)------------------------------
% 0.20/0.57  TRYING [1]
% 0.20/0.58  TRYING [2]
% 0.20/0.58  TRYING [3]
% 0.20/0.58  % (13812)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.59  % (13794)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.59  % (13791)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.59  % (13798)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.59  % (13792)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.60  % (13795)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.60  % (13799)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.60  % (13809)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.61  % (13804)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.61  % (13801)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.61  Detected maximum model sizes of [32]
% 0.20/0.61  TRYING [1]
% 0.20/0.61  TRYING [2]
% 0.20/0.61  TRYING [4]
% 0.20/0.61  TRYING [3]
% 0.20/0.62  Detected maximum model sizes of [32]
% 0.20/0.62  TRYING [1]
% 0.20/0.62  % (13818)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.62  % (13816)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.62  % (13815)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.62  % (13813)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.62  % (13807)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.62  % (13814)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.95/0.63  % (13808)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.95/0.63  % (13811)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.95/0.63  % (13810)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.95/0.63  % (13790)Refutation not found, incomplete strategy% (13790)------------------------------
% 1.95/0.63  % (13790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.63  TRYING [4]
% 1.95/0.63  % (13803)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.95/0.63  % (13790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.63  % (13790)Termination reason: Refutation not found, incomplete strategy
% 1.95/0.63  
% 1.95/0.63  % (13790)Memory used [KB]: 6652
% 1.95/0.63  % (13790)Time elapsed: 0.193 s
% 1.95/0.63  % (13790)Instructions burned: 38 (million)
% 1.95/0.63  % (13790)------------------------------
% 1.95/0.63  % (13790)------------------------------
% 1.95/0.64  % (13802)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.95/0.64  % (13800)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.95/0.64  % (13796)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.95/0.64  TRYING [2]
% 1.95/0.64  TRYING [3]
% 1.95/0.64  % (13796)Instruction limit reached!
% 1.95/0.64  % (13796)------------------------------
% 1.95/0.64  % (13796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.64  % (13796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.64  % (13796)Termination reason: Unknown
% 1.95/0.64  % (13796)Termination phase: Saturation
% 1.95/0.64  
% 1.95/0.64  % (13796)Memory used [KB]: 6140
% 1.95/0.64  % (13796)Time elapsed: 0.006 s
% 1.95/0.64  % (13796)Instructions burned: 7 (million)
% 1.95/0.64  % (13796)------------------------------
% 1.95/0.64  % (13796)------------------------------
% 2.26/0.66  % (13806)Instruction limit reached!
% 2.26/0.66  % (13806)------------------------------
% 2.26/0.66  % (13806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.66  % (13806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.66  % (13806)Termination reason: Unknown
% 2.26/0.66  % (13806)Termination phase: Finite model building SAT solving
% 2.26/0.66  
% 2.26/0.66  % (13806)Memory used [KB]: 6396
% 2.26/0.66  % (13806)Time elapsed: 0.223 s
% 2.26/0.66  % (13806)Instructions burned: 59 (million)
% 2.26/0.66  % (13806)------------------------------
% 2.26/0.66  % (13806)------------------------------
% 2.26/0.67  TRYING [4]
% 2.43/0.67  % (13793)Instruction limit reached!
% 2.43/0.67  % (13793)------------------------------
% 2.43/0.67  % (13793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.67  % (13793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.67  % (13793)Termination reason: Unknown
% 2.43/0.67  % (13793)Termination phase: Saturation
% 2.43/0.67  
% 2.43/0.67  % (13793)Memory used [KB]: 6908
% 2.43/0.67  % (13793)Time elapsed: 0.253 s
% 2.43/0.67  % (13793)Instructions burned: 51 (million)
% 2.43/0.67  % (13793)------------------------------
% 2.43/0.67  % (13793)------------------------------
% 2.43/0.68  % (13799)First to succeed.
% 2.43/0.68  TRYING [5]
% 2.43/0.69  % (13791)Instruction limit reached!
% 2.43/0.69  % (13791)------------------------------
% 2.43/0.69  % (13791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.69  % (13791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.69  % (13791)Termination reason: Unknown
% 2.43/0.69  % (13791)Termination phase: Saturation
% 2.43/0.69  
% 2.43/0.69  % (13791)Memory used [KB]: 1535
% 2.43/0.69  % (13791)Time elapsed: 0.269 s
% 2.43/0.69  % (13791)Instructions burned: 37 (million)
% 2.43/0.69  % (13791)------------------------------
% 2.43/0.69  % (13791)------------------------------
% 2.43/0.70  % (13795)Instruction limit reached!
% 2.43/0.70  % (13795)------------------------------
% 2.43/0.70  % (13795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.70  % (13795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.70  % (13795)Termination reason: Unknown
% 2.43/0.70  % (13795)Termination phase: Finite model building SAT solving
% 2.43/0.70  
% 2.43/0.70  % (13795)Memory used [KB]: 6396
% 2.43/0.70  % (13795)Time elapsed: 0.242 s
% 2.43/0.70  % (13795)Instructions burned: 52 (million)
% 2.43/0.70  % (13795)------------------------------
% 2.43/0.70  % (13795)------------------------------
% 2.43/0.71  % (13794)Instruction limit reached!
% 2.43/0.71  % (13794)------------------------------
% 2.43/0.71  % (13794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.71  % (13794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.71  % (13794)Termination reason: Unknown
% 2.43/0.71  % (13794)Termination phase: Saturation
% 2.43/0.71  
% 2.43/0.71  % (13794)Memory used [KB]: 7164
% 2.43/0.71  % (13794)Time elapsed: 0.292 s
% 2.43/0.71  % (13794)Instructions burned: 49 (million)
% 2.43/0.71  % (13794)------------------------------
% 2.43/0.71  % (13794)------------------------------
% 2.77/0.72  % (13792)Also succeeded, but the first one will report.
% 2.77/0.73  % (13799)Refutation found. Thanks to Tanya!
% 2.77/0.73  % SZS status Theorem for theBenchmark
% 2.77/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 2.77/0.73  % (13799)------------------------------
% 2.77/0.73  % (13799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.73  % (13799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.73  % (13799)Termination reason: Refutation
% 2.77/0.73  
% 2.77/0.73  % (13799)Memory used [KB]: 7419
% 2.77/0.73  % (13799)Time elapsed: 0.291 s
% 2.77/0.73  % (13799)Instructions burned: 48 (million)
% 2.77/0.73  % (13799)------------------------------
% 2.77/0.73  % (13799)------------------------------
% 2.77/0.73  % (13788)Success in time 0.387 s
%------------------------------------------------------------------------------