TSTP Solution File: SYN484+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN484+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 : n008.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 19:38:25 EDT 2022

% Result   : Theorem 0.18s 0.57s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :  199
% Syntax   : Number of formulae    :  752 (   1 unt;   0 def)
%            Number of atoms       : 7803 (   0 equ)
%            Maximal formula atoms :  742 (  10 avg)
%            Number of connectives : 10596 (3545   ~;4979   |;1386   &)
%                                         ( 198 <=>; 488  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  115 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  235 ( 234 usr; 231 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   : 1113 (1113   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2240,plain,
    $false,
    inference(avatar_sat_refutation,[],[f358,f381,f390,f406,f415,f437,f451,f460,f465,f478,f483,f495,f521,f526,f531,f539,f565,f586,f596,f608,f613,f623,f632,f644,f653,f658,f672,f681,f686,f703,f708,f713,f731,f735,f740,f744,f752,f766,f775,f776,f781,f786,f791,f796,f806,f811,f815,f816,f821,f829,f838,f851,f866,f870,f875,f880,f881,f887,f889,f900,f909,f914,f919,f924,f929,f934,f935,f936,f941,f946,f956,f961,f967,f977,f978,f991,f992,f1008,f1013,f1027,f1032,f1038,f1039,f1041,f1046,f1047,f1052,f1053,f1059,f1065,f1066,f1074,f1079,f1084,f1089,f1094,f1103,f1109,f1112,f1117,f1123,f1124,f1126,f1132,f1147,f1152,f1163,f1168,f1181,f1193,f1195,f1201,f1202,f1207,f1212,f1213,f1223,f1228,f1234,f1239,f1244,f1254,f1260,f1261,f1267,f1268,f1273,f1278,f1279,f1284,f1294,f1296,f1313,f1314,f1315,f1332,f1338,f1339,f1354,f1355,f1360,f1363,f1365,f1366,f1367,f1372,f1377,f1379,f1386,f1388,f1395,f1399,f1419,f1424,f1433,f1435,f1444,f1445,f1464,f1471,f1477,f1488,f1513,f1514,f1525,f1546,f1547,f1586,f1588,f1607,f1608,f1662,f1663,f1690,f1731,f1732,f1792,f1794,f1795,f1810,f1846,f1847,f1865,f1866,f1867,f1868,f1890,f1891,f1968,f1969,f1971,f1983,f1998,f2002,f2004,f2007,f2009,f2012,f2017,f2043,f2044,f2064,f2083,f2085,f2086,f2134,f2146,f2190,f2191,f2206,f2208,f2227,f2237]) ).

fof(f2237,plain,
    ( ~ spl52_211
    | spl52_169
    | ~ spl52_51
    | ~ spl52_176 ),
    inference(avatar_split_clause,[],[f2149,f1204,f571,f1160,f1421]) ).

fof(f1421,plain,
    ( spl52_211
  <=> c1_1(a1979) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_211])]) ).

fof(f1160,plain,
    ( spl52_169
  <=> c2_1(a1979) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_169])]) ).

fof(f571,plain,
    ( spl52_51
  <=> ! [X37] :
        ( ~ c3_1(X37)
        | ~ c1_1(X37)
        | c2_1(X37) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_51])]) ).

fof(f1204,plain,
    ( spl52_176
  <=> c3_1(a1979) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_176])]) ).

fof(f2149,plain,
    ( c2_1(a1979)
    | ~ c1_1(a1979)
    | ~ spl52_51
    | ~ spl52_176 ),
    inference(resolution,[],[f572,f1206]) ).

fof(f1206,plain,
    ( c3_1(a1979)
    | ~ spl52_176 ),
    inference(avatar_component_clause,[],[f1204]) ).

fof(f572,plain,
    ( ! [X37] :
        ( ~ c3_1(X37)
        | ~ c1_1(X37)
        | c2_1(X37) )
    | ~ spl52_51 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f2227,plain,
    ( spl52_136
    | ~ spl52_228
    | ~ spl52_2
    | spl52_180 ),
    inference(avatar_split_clause,[],[f2219,f1225,f356,f2131,f974]) ).

fof(f974,plain,
    ( spl52_136
  <=> c3_1(a1985) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_136])]) ).

fof(f2131,plain,
    ( spl52_228
  <=> c2_1(a1985) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_228])]) ).

fof(f356,plain,
    ( spl52_2
  <=> ! [X96] :
        ( ~ c2_1(X96)
        | c3_1(X96)
        | c0_1(X96) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_2])]) ).

fof(f1225,plain,
    ( spl52_180
  <=> c0_1(a1985) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_180])]) ).

fof(f2219,plain,
    ( ~ c2_1(a1985)
    | c3_1(a1985)
    | ~ spl52_2
    | spl52_180 ),
    inference(resolution,[],[f357,f1227]) ).

fof(f1227,plain,
    ( ~ c0_1(a1985)
    | spl52_180 ),
    inference(avatar_component_clause,[],[f1225]) ).

fof(f357,plain,
    ( ! [X96] :
        ( c0_1(X96)
        | ~ c2_1(X96)
        | c3_1(X96) )
    | ~ spl52_2 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f2208,plain,
    ( spl52_116
    | ~ spl52_43
    | ~ spl52_77 ),
    inference(avatar_split_clause,[],[f2205,f689,f537,f868]) ).

fof(f868,plain,
    ( spl52_116
  <=> ! [X23] :
        ( c3_1(X23)
        | c1_1(X23)
        | ~ c2_1(X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_116])]) ).

fof(f537,plain,
    ( spl52_43
  <=> ! [X6] :
        ( c0_1(X6)
        | c1_1(X6)
        | c3_1(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_43])]) ).

fof(f689,plain,
    ( spl52_77
  <=> ! [X20] :
        ( ~ c0_1(X20)
        | c3_1(X20)
        | ~ c2_1(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_77])]) ).

fof(f2205,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl52_43
    | ~ spl52_77 ),
    inference(duplicate_literal_removal,[],[f2192]) ).

fof(f2192,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl52_43
    | ~ spl52_77 ),
    inference(resolution,[],[f690,f538]) ).

fof(f538,plain,
    ( ! [X6] :
        ( c0_1(X6)
        | c3_1(X6)
        | c1_1(X6) )
    | ~ spl52_43 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f690,plain,
    ( ! [X20] :
        ( ~ c0_1(X20)
        | c3_1(X20)
        | ~ c2_1(X20) )
    | ~ spl52_77 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f2206,plain,
    ( ~ spl52_202
    | spl52_15
    | ~ spl52_77
    | ~ spl52_177 ),
    inference(avatar_split_clause,[],[f2195,f1209,f689,f412,f1351]) ).

fof(f1351,plain,
    ( spl52_202
  <=> c2_1(a1991) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_202])]) ).

fof(f412,plain,
    ( spl52_15
  <=> c3_1(a1991) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_15])]) ).

fof(f1209,plain,
    ( spl52_177
  <=> c0_1(a1991) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_177])]) ).

fof(f2195,plain,
    ( c3_1(a1991)
    | ~ c2_1(a1991)
    | ~ spl52_77
    | ~ spl52_177 ),
    inference(resolution,[],[f690,f1211]) ).

fof(f1211,plain,
    ( c0_1(a1991)
    | ~ spl52_177 ),
    inference(avatar_component_clause,[],[f1209]) ).

fof(f2191,plain,
    ( spl52_99
    | ~ spl52_175
    | ~ spl52_66
    | spl52_98 ),
    inference(avatar_split_clause,[],[f2181,f783,f638,f1198,f788]) ).

fof(f788,plain,
    ( spl52_99
  <=> c1_1(a1983) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_99])]) ).

fof(f1198,plain,
    ( spl52_175
  <=> c3_1(a1983) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_175])]) ).

fof(f638,plain,
    ( spl52_66
  <=> ! [X13] :
        ( ~ c3_1(X13)
        | c1_1(X13)
        | c0_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_66])]) ).

fof(f783,plain,
    ( spl52_98
  <=> c0_1(a1983) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_98])]) ).

fof(f2181,plain,
    ( ~ c3_1(a1983)
    | c1_1(a1983)
    | ~ spl52_66
    | spl52_98 ),
    inference(resolution,[],[f639,f785]) ).

fof(f785,plain,
    ( ~ c0_1(a1983)
    | spl52_98 ),
    inference(avatar_component_clause,[],[f783]) ).

fof(f639,plain,
    ( ! [X13] :
        ( c0_1(X13)
        | c1_1(X13)
        | ~ c3_1(X13) )
    | ~ spl52_66 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f2190,plain,
    ( spl52_211
    | ~ spl52_176
    | ~ spl52_66
    | spl52_139 ),
    inference(avatar_split_clause,[],[f2180,f988,f638,f1204,f1421]) ).

fof(f988,plain,
    ( spl52_139
  <=> c0_1(a1979) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_139])]) ).

fof(f2180,plain,
    ( ~ c3_1(a1979)
    | c1_1(a1979)
    | ~ spl52_66
    | spl52_139 ),
    inference(resolution,[],[f639,f990]) ).

fof(f990,plain,
    ( ~ c0_1(a1979)
    | spl52_139 ),
    inference(avatar_component_clause,[],[f988]) ).

fof(f2146,plain,
    ( spl52_132
    | spl52_227
    | ~ spl52_43
    | spl52_205 ),
    inference(avatar_split_clause,[],[f2145,f1374,f537,f2061,f953]) ).

fof(f953,plain,
    ( spl52_132
  <=> c1_1(a2031) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_132])]) ).

fof(f2061,plain,
    ( spl52_227
  <=> c3_1(a2031) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_227])]) ).

fof(f1374,plain,
    ( spl52_205
  <=> c0_1(a2031) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_205])]) ).

fof(f2145,plain,
    ( c3_1(a2031)
    | c1_1(a2031)
    | ~ spl52_43
    | spl52_205 ),
    inference(resolution,[],[f538,f1376]) ).

fof(f1376,plain,
    ( ~ c0_1(a2031)
    | spl52_205 ),
    inference(avatar_component_clause,[],[f1374]) ).

fof(f2134,plain,
    ( ~ spl52_203
    | spl52_228
    | ~ spl52_107
    | spl52_136 ),
    inference(avatar_split_clause,[],[f2129,f974,f827,f2131,f1357]) ).

fof(f1357,plain,
    ( spl52_203
  <=> c1_1(a1985) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_203])]) ).

fof(f827,plain,
    ( spl52_107
  <=> ! [X118] :
        ( c2_1(X118)
        | c3_1(X118)
        | ~ c1_1(X118) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_107])]) ).

fof(f2129,plain,
    ( c2_1(a1985)
    | ~ c1_1(a1985)
    | ~ spl52_107
    | spl52_136 ),
    inference(resolution,[],[f976,f828]) ).

fof(f828,plain,
    ( ! [X118] :
        ( c3_1(X118)
        | c2_1(X118)
        | ~ c1_1(X118) )
    | ~ spl52_107 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f976,plain,
    ( ~ c3_1(a1985)
    | spl52_136 ),
    inference(avatar_component_clause,[],[f974]) ).

fof(f2086,plain,
    ( ~ spl52_206
    | ~ spl52_224
    | ~ spl52_25
    | ~ spl52_29 ),
    inference(avatar_split_clause,[],[f2079,f476,f457,f1803,f1383]) ).

fof(f1383,plain,
    ( spl52_206
  <=> c1_1(a1972) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_206])]) ).

fof(f1803,plain,
    ( spl52_224
  <=> c2_1(a1972) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_224])]) ).

fof(f457,plain,
    ( spl52_25
  <=> c3_1(a1972) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_25])]) ).

fof(f476,plain,
    ( spl52_29
  <=> ! [X28] :
        ( ~ c3_1(X28)
        | ~ c1_1(X28)
        | ~ c2_1(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_29])]) ).

fof(f2079,plain,
    ( ~ c2_1(a1972)
    | ~ c1_1(a1972)
    | ~ spl52_25
    | ~ spl52_29 ),
    inference(resolution,[],[f477,f459]) ).

fof(f459,plain,
    ( c3_1(a1972)
    | ~ spl52_25 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f477,plain,
    ( ! [X28] :
        ( ~ c3_1(X28)
        | ~ c1_1(X28)
        | ~ c2_1(X28) )
    | ~ spl52_29 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f2085,plain,
    ( ~ spl52_174
    | ~ spl52_225
    | spl52_69
    | ~ spl52_87 ),
    inference(avatar_split_clause,[],[f1811,f733,f650,f1829,f1190]) ).

fof(f1190,plain,
    ( spl52_174
  <=> c1_1(a1992) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_174])]) ).

fof(f1829,plain,
    ( spl52_225
  <=> c3_1(a1992) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_225])]) ).

fof(f650,plain,
    ( spl52_69
  <=> c0_1(a1992) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_69])]) ).

fof(f733,plain,
    ( spl52_87
  <=> ! [X84] :
        ( c0_1(X84)
        | ~ c3_1(X84)
        | ~ c1_1(X84) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_87])]) ).

fof(f1811,plain,
    ( ~ c3_1(a1992)
    | ~ c1_1(a1992)
    | spl52_69
    | ~ spl52_87 ),
    inference(resolution,[],[f652,f734]) ).

fof(f734,plain,
    ( ! [X84] :
        ( c0_1(X84)
        | ~ c3_1(X84)
        | ~ c1_1(X84) )
    | ~ spl52_87 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f652,plain,
    ( ~ c0_1(a1992)
    | spl52_69 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f2083,plain,
    ( ~ spl52_188
    | ~ spl52_143
    | ~ spl52_19
    | ~ spl52_29 ),
    inference(avatar_split_clause,[],[f2078,f476,f430,f1010,f1270]) ).

fof(f1270,plain,
    ( spl52_188
  <=> c2_1(a1970) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_188])]) ).

fof(f1010,plain,
    ( spl52_143
  <=> c1_1(a1970) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_143])]) ).

fof(f430,plain,
    ( spl52_19
  <=> c3_1(a1970) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_19])]) ).

fof(f2078,plain,
    ( ~ c1_1(a1970)
    | ~ c2_1(a1970)
    | ~ spl52_19
    | ~ spl52_29 ),
    inference(resolution,[],[f477,f432]) ).

fof(f432,plain,
    ( c3_1(a1970)
    | ~ spl52_19 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f2064,plain,
    ( ~ spl52_227
    | spl52_157
    | ~ spl52_90
    | spl52_205 ),
    inference(avatar_split_clause,[],[f2058,f1374,f746,f1091,f2061]) ).

fof(f1091,plain,
    ( spl52_157
  <=> c2_1(a2031) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_157])]) ).

fof(f746,plain,
    ( spl52_90
  <=> ! [X14] :
        ( ~ c3_1(X14)
        | c2_1(X14)
        | c0_1(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_90])]) ).

fof(f2058,plain,
    ( c2_1(a2031)
    | ~ c3_1(a2031)
    | ~ spl52_90
    | spl52_205 ),
    inference(resolution,[],[f1376,f747]) ).

fof(f747,plain,
    ( ! [X14] :
        ( c0_1(X14)
        | ~ c3_1(X14)
        | c2_1(X14) )
    | ~ spl52_90 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f2044,plain,
    ( ~ spl52_176
    | spl52_169
    | ~ spl52_90
    | spl52_139 ),
    inference(avatar_split_clause,[],[f2041,f988,f746,f1160,f1204]) ).

fof(f2041,plain,
    ( c2_1(a1979)
    | ~ c3_1(a1979)
    | ~ spl52_90
    | spl52_139 ),
    inference(resolution,[],[f990,f747]) ).

fof(f2043,plain,
    ( ~ spl52_211
    | ~ spl52_176
    | ~ spl52_87
    | spl52_139 ),
    inference(avatar_split_clause,[],[f2040,f988,f733,f1204,f1421]) ).

fof(f2040,plain,
    ( ~ c3_1(a1979)
    | ~ c1_1(a1979)
    | ~ spl52_87
    | spl52_139 ),
    inference(resolution,[],[f990,f734]) ).

fof(f2017,plain,
    ( spl52_29
    | ~ spl52_58
    | ~ spl52_87 ),
    inference(avatar_split_clause,[],[f1889,f733,f602,f476]) ).

fof(f602,plain,
    ( spl52_58
  <=> ! [X93] :
        ( ~ c1_1(X93)
        | ~ c2_1(X93)
        | ~ c0_1(X93) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_58])]) ).

fof(f1889,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c3_1(X1)
        | ~ c1_1(X1) )
    | ~ spl52_58
    | ~ spl52_87 ),
    inference(duplicate_literal_removal,[],[f1873]) ).

fof(f1873,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl52_58
    | ~ spl52_87 ),
    inference(resolution,[],[f603,f734]) ).

fof(f603,plain,
    ( ! [X93] :
        ( ~ c0_1(X93)
        | ~ c2_1(X93)
        | ~ c1_1(X93) )
    | ~ spl52_58 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f2012,plain,
    ( spl52_116
    | ~ spl52_73
    | ~ spl52_77 ),
    inference(avatar_split_clause,[],[f1921,f689,f670,f868]) ).

fof(f670,plain,
    ( spl52_73
  <=> ! [X63] :
        ( c1_1(X63)
        | c0_1(X63)
        | ~ c2_1(X63) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_73])]) ).

fof(f1921,plain,
    ( ! [X4] :
        ( c3_1(X4)
        | ~ c2_1(X4)
        | c1_1(X4) )
    | ~ spl52_73
    | ~ spl52_77 ),
    inference(duplicate_literal_removal,[],[f1909]) ).

fof(f1909,plain,
    ( ! [X4] :
        ( ~ c2_1(X4)
        | c1_1(X4)
        | c3_1(X4)
        | ~ c2_1(X4) )
    | ~ spl52_73
    | ~ spl52_77 ),
    inference(resolution,[],[f690,f671]) ).

fof(f671,plain,
    ( ! [X63] :
        ( c0_1(X63)
        | c1_1(X63)
        | ~ c2_1(X63) )
    | ~ spl52_73 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f2009,plain,
    ( ~ spl52_210
    | spl52_125
    | ~ spl52_54
    | ~ spl52_162 ),
    inference(avatar_split_clause,[],[f1482,f1120,f584,f916,f1416]) ).

fof(f1416,plain,
    ( spl52_210
  <=> c1_1(a1996) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_210])]) ).

fof(f916,plain,
    ( spl52_125
  <=> c2_1(a1996) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_125])]) ).

fof(f584,plain,
    ( spl52_54
  <=> ! [X77] :
        ( ~ c1_1(X77)
        | ~ c0_1(X77)
        | c2_1(X77) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_54])]) ).

fof(f1120,plain,
    ( spl52_162
  <=> c0_1(a1996) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_162])]) ).

fof(f1482,plain,
    ( c2_1(a1996)
    | ~ c1_1(a1996)
    | ~ spl52_54
    | ~ spl52_162 ),
    inference(resolution,[],[f585,f1122]) ).

fof(f1122,plain,
    ( c0_1(a1996)
    | ~ spl52_162 ),
    inference(avatar_component_clause,[],[f1120]) ).

fof(f585,plain,
    ( ! [X77] :
        ( ~ c0_1(X77)
        | c2_1(X77)
        | ~ c1_1(X77) )
    | ~ spl52_54 ),
    inference(avatar_component_clause,[],[f584]) ).

fof(f2007,plain,
    ( ~ spl52_209
    | spl52_207
    | spl52_81
    | ~ spl52_116 ),
    inference(avatar_split_clause,[],[f1977,f868,f705,f1392,f1409]) ).

fof(f1409,plain,
    ( spl52_209
  <=> c2_1(a2000) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_209])]) ).

fof(f1392,plain,
    ( spl52_207
  <=> c1_1(a2000) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_207])]) ).

fof(f705,plain,
    ( spl52_81
  <=> c3_1(a2000) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_81])]) ).

fof(f1977,plain,
    ( c1_1(a2000)
    | ~ c2_1(a2000)
    | spl52_81
    | ~ spl52_116 ),
    inference(resolution,[],[f869,f707]) ).

fof(f707,plain,
    ( ~ c3_1(a2000)
    | spl52_81 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f869,plain,
    ( ! [X23] :
        ( c3_1(X23)
        | ~ c2_1(X23)
        | c1_1(X23) )
    | ~ spl52_116 ),
    inference(avatar_component_clause,[],[f868]) ).

fof(f2004,plain,
    ( ~ spl52_206
    | spl52_224
    | ~ spl52_54
    | ~ spl52_60 ),
    inference(avatar_split_clause,[],[f1801,f610,f584,f1803,f1383]) ).

fof(f610,plain,
    ( spl52_60
  <=> c0_1(a1972) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_60])]) ).

fof(f1801,plain,
    ( c2_1(a1972)
    | ~ c1_1(a1972)
    | ~ spl52_54
    | ~ spl52_60 ),
    inference(resolution,[],[f612,f585]) ).

fof(f612,plain,
    ( c0_1(a1972)
    | ~ spl52_60 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f2002,plain,
    ( ~ spl52_179
    | spl52_167
    | ~ spl52_107
    | spl52_161 ),
    inference(avatar_split_clause,[],[f1943,f1114,f827,f1149,f1220]) ).

fof(f1220,plain,
    ( spl52_179
  <=> c1_1(a1977) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_179])]) ).

fof(f1149,plain,
    ( spl52_167
  <=> c2_1(a1977) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_167])]) ).

fof(f1114,plain,
    ( spl52_161
  <=> c3_1(a1977) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_161])]) ).

fof(f1943,plain,
    ( c2_1(a1977)
    | ~ c1_1(a1977)
    | ~ spl52_107
    | spl52_161 ),
    inference(resolution,[],[f828,f1116]) ).

fof(f1116,plain,
    ( ~ c3_1(a1977)
    | spl52_161 ),
    inference(avatar_component_clause,[],[f1114]) ).

fof(f1998,plain,
    ( ~ spl52_118
    | ~ spl52_88
    | ~ spl52_142
    | spl52_220 ),
    inference(avatar_split_clause,[],[f1988,f1614,f1006,f737,f877]) ).

fof(f877,plain,
    ( spl52_118
  <=> c2_1(a1974) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_118])]) ).

fof(f737,plain,
    ( spl52_88
  <=> c1_1(a1974) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_88])]) ).

fof(f1006,plain,
    ( spl52_142
  <=> ! [X97] :
        ( c3_1(X97)
        | ~ c2_1(X97)
        | ~ c1_1(X97) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_142])]) ).

fof(f1614,plain,
    ( spl52_220
  <=> c3_1(a1974) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_220])]) ).

fof(f1988,plain,
    ( ~ c1_1(a1974)
    | ~ c2_1(a1974)
    | ~ spl52_142
    | spl52_220 ),
    inference(resolution,[],[f1007,f1615]) ).

fof(f1615,plain,
    ( ~ c3_1(a1974)
    | spl52_220 ),
    inference(avatar_component_clause,[],[f1614]) ).

fof(f1007,plain,
    ( ! [X97] :
        ( c3_1(X97)
        | ~ c1_1(X97)
        | ~ c2_1(X97) )
    | ~ spl52_142 ),
    inference(avatar_component_clause,[],[f1006]) ).

fof(f1983,plain,
    ( spl52_97
    | ~ spl52_185
    | ~ spl52_116
    | spl52_124 ),
    inference(avatar_split_clause,[],[f1980,f911,f868,f1251,f778]) ).

fof(f778,plain,
    ( spl52_97
  <=> c1_1(a2009) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_97])]) ).

fof(f1251,plain,
    ( spl52_185
  <=> c2_1(a2009) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_185])]) ).

fof(f911,plain,
    ( spl52_124
  <=> c3_1(a2009) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_124])]) ).

fof(f1980,plain,
    ( ~ c2_1(a2009)
    | c1_1(a2009)
    | ~ spl52_116
    | spl52_124 ),
    inference(resolution,[],[f869,f913]) ).

fof(f913,plain,
    ( ~ c3_1(a2009)
    | spl52_124 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f1971,plain,
    ( spl52_220
    | ~ spl52_88
    | spl52_103
    | ~ spl52_112 ),
    inference(avatar_split_clause,[],[f1957,f849,f808,f737,f1614]) ).

fof(f808,plain,
    ( spl52_103
  <=> c0_1(a1974) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_103])]) ).

fof(f849,plain,
    ( spl52_112
  <=> ! [X104] :
        ( ~ c1_1(X104)
        | c3_1(X104)
        | c0_1(X104) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_112])]) ).

fof(f1957,plain,
    ( ~ c1_1(a1974)
    | c3_1(a1974)
    | spl52_103
    | ~ spl52_112 ),
    inference(resolution,[],[f850,f810]) ).

fof(f810,plain,
    ( ~ c0_1(a1974)
    | spl52_103 ),
    inference(avatar_component_clause,[],[f808]) ).

fof(f850,plain,
    ( ! [X104] :
        ( c0_1(X104)
        | c3_1(X104)
        | ~ c1_1(X104) )
    | ~ spl52_112 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f1969,plain,
    ( spl52_76
    | ~ spl52_214
    | ~ spl52_112
    | spl52_128 ),
    inference(avatar_split_clause,[],[f1959,f931,f849,f1500,f683]) ).

fof(f683,plain,
    ( spl52_76
  <=> c3_1(a1989) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_76])]) ).

fof(f1500,plain,
    ( spl52_214
  <=> c1_1(a1989) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_214])]) ).

fof(f931,plain,
    ( spl52_128
  <=> c0_1(a1989) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_128])]) ).

fof(f1959,plain,
    ( ~ c1_1(a1989)
    | c3_1(a1989)
    | ~ spl52_112
    | spl52_128 ),
    inference(resolution,[],[f850,f933]) ).

fof(f933,plain,
    ( ~ c0_1(a1989)
    | spl52_128 ),
    inference(avatar_component_clause,[],[f931]) ).

fof(f1968,plain,
    ( ~ spl52_174
    | spl52_225
    | spl52_69
    | ~ spl52_112 ),
    inference(avatar_split_clause,[],[f1960,f849,f650,f1829,f1190]) ).

fof(f1960,plain,
    ( c3_1(a1992)
    | ~ c1_1(a1992)
    | spl52_69
    | ~ spl52_112 ),
    inference(resolution,[],[f850,f652]) ).

fof(f1891,plain,
    ( ~ spl52_192
    | ~ spl52_129
    | ~ spl52_58
    | ~ spl52_150 ),
    inference(avatar_split_clause,[],[f1885,f1049,f602,f938,f1291]) ).

fof(f1291,plain,
    ( spl52_192
  <=> c2_1(a1978) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_192])]) ).

fof(f938,plain,
    ( spl52_129
  <=> c1_1(a1978) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_129])]) ).

fof(f1049,plain,
    ( spl52_150
  <=> c0_1(a1978) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_150])]) ).

fof(f1885,plain,
    ( ~ c1_1(a1978)
    | ~ c2_1(a1978)
    | ~ spl52_58
    | ~ spl52_150 ),
    inference(resolution,[],[f603,f1051]) ).

fof(f1051,plain,
    ( c0_1(a1978)
    | ~ spl52_150 ),
    inference(avatar_component_clause,[],[f1049]) ).

fof(f1890,plain,
    ( ~ spl52_206
    | ~ spl52_224
    | ~ spl52_58
    | ~ spl52_60 ),
    inference(avatar_split_clause,[],[f1884,f610,f602,f1803,f1383]) ).

fof(f1884,plain,
    ( ~ c2_1(a1972)
    | ~ c1_1(a1972)
    | ~ spl52_58
    | ~ spl52_60 ),
    inference(resolution,[],[f603,f612]) ).

fof(f1868,plain,
    ( spl52_215
    | ~ spl52_181
    | ~ spl52_90
    | spl52_96 ),
    inference(avatar_split_clause,[],[f1821,f772,f746,f1231,f1510]) ).

fof(f1510,plain,
    ( spl52_215
  <=> c2_1(a1998) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_215])]) ).

fof(f1231,plain,
    ( spl52_181
  <=> c3_1(a1998) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_181])]) ).

fof(f772,plain,
    ( spl52_96
  <=> c0_1(a1998) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_96])]) ).

fof(f1821,plain,
    ( ~ c3_1(a1998)
    | c2_1(a1998)
    | ~ spl52_90
    | spl52_96 ),
    inference(resolution,[],[f747,f774]) ).

fof(f774,plain,
    ( ~ c0_1(a1998)
    | spl52_96 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f1867,plain,
    ( spl52_209
    | spl52_81
    | spl52_62
    | ~ spl52_104 ),
    inference(avatar_split_clause,[],[f1859,f813,f620,f705,f1409]) ).

fof(f620,plain,
    ( spl52_62
  <=> c0_1(a2000) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_62])]) ).

fof(f813,plain,
    ( spl52_104
  <=> ! [X27] :
        ( c3_1(X27)
        | c0_1(X27)
        | c2_1(X27) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_104])]) ).

fof(f1859,plain,
    ( c3_1(a2000)
    | c2_1(a2000)
    | spl52_62
    | ~ spl52_104 ),
    inference(resolution,[],[f814,f622]) ).

fof(f622,plain,
    ( ~ c0_1(a2000)
    | spl52_62 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f814,plain,
    ( ! [X27] :
        ( c0_1(X27)
        | c3_1(X27)
        | c2_1(X27) )
    | ~ spl52_104 ),
    inference(avatar_component_clause,[],[f813]) ).

fof(f1866,plain,
    ( spl52_126
    | spl52_149
    | ~ spl52_104
    | spl52_199 ),
    inference(avatar_split_clause,[],[f1861,f1335,f813,f1043,f921]) ).

fof(f921,plain,
    ( spl52_126
  <=> c3_1(a2041) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_126])]) ).

fof(f1043,plain,
    ( spl52_149
  <=> c2_1(a2041) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_149])]) ).

fof(f1335,plain,
    ( spl52_199
  <=> c0_1(a2041) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_199])]) ).

fof(f1861,plain,
    ( c2_1(a2041)
    | c3_1(a2041)
    | ~ spl52_104
    | spl52_199 ),
    inference(resolution,[],[f814,f1337]) ).

fof(f1337,plain,
    ( ~ c0_1(a2041)
    | spl52_199 ),
    inference(avatar_component_clause,[],[f1335]) ).

fof(f1865,plain,
    ( spl52_154
    | spl52_225
    | spl52_69
    | ~ spl52_104 ),
    inference(avatar_split_clause,[],[f1857,f813,f650,f1829,f1076]) ).

fof(f1076,plain,
    ( spl52_154
  <=> c2_1(a1992) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_154])]) ).

fof(f1857,plain,
    ( c3_1(a1992)
    | c2_1(a1992)
    | spl52_69
    | ~ spl52_104 ),
    inference(resolution,[],[f814,f652]) ).

fof(f1847,plain,
    ( ~ spl52_220
    | ~ spl52_118
    | ~ spl52_101
    | spl52_103 ),
    inference(avatar_split_clause,[],[f1837,f808,f798,f877,f1614]) ).

fof(f798,plain,
    ( spl52_101
  <=> ! [X117] :
        ( ~ c3_1(X117)
        | ~ c2_1(X117)
        | c0_1(X117) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_101])]) ).

fof(f1837,plain,
    ( ~ c2_1(a1974)
    | ~ c3_1(a1974)
    | ~ spl52_101
    | spl52_103 ),
    inference(resolution,[],[f799,f810]) ).

fof(f799,plain,
    ( ! [X117] :
        ( c0_1(X117)
        | ~ c2_1(X117)
        | ~ c3_1(X117) )
    | ~ spl52_101 ),
    inference(avatar_component_clause,[],[f798]) ).

fof(f1846,plain,
    ( ~ spl52_215
    | ~ spl52_181
    | spl52_96
    | ~ spl52_101 ),
    inference(avatar_split_clause,[],[f1841,f798,f772,f1231,f1510]) ).

fof(f1841,plain,
    ( ~ c3_1(a1998)
    | ~ c2_1(a1998)
    | spl52_96
    | ~ spl52_101 ),
    inference(resolution,[],[f799,f774]) ).

fof(f1810,plain,
    ( spl52_207
    | ~ spl52_209
    | spl52_62
    | ~ spl52_73 ),
    inference(avatar_split_clause,[],[f1809,f670,f620,f1409,f1392]) ).

fof(f1809,plain,
    ( ~ c2_1(a2000)
    | c1_1(a2000)
    | spl52_62
    | ~ spl52_73 ),
    inference(resolution,[],[f622,f671]) ).

fof(f1795,plain,
    ( spl52_80
    | ~ spl52_73
    | ~ spl52_89 ),
    inference(avatar_split_clause,[],[f1788,f742,f670,f701]) ).

fof(f701,plain,
    ( spl52_80
  <=> ! [X4] :
        ( c1_1(X4)
        | ~ c3_1(X4)
        | ~ c2_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_80])]) ).

fof(f742,plain,
    ( spl52_89
  <=> ! [X114] :
        ( ~ c0_1(X114)
        | ~ c3_1(X114)
        | c1_1(X114) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_89])]) ).

fof(f1788,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | ~ c3_1(X2)
        | c1_1(X2) )
    | ~ spl52_73
    | ~ spl52_89 ),
    inference(duplicate_literal_removal,[],[f1775]) ).

fof(f1775,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | ~ c3_1(X2)
        | ~ c2_1(X2)
        | c1_1(X2) )
    | ~ spl52_73
    | ~ spl52_89 ),
    inference(resolution,[],[f743,f671]) ).

fof(f743,plain,
    ( ! [X114] :
        ( ~ c0_1(X114)
        | ~ c3_1(X114)
        | c1_1(X114) )
    | ~ spl52_89 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f1794,plain,
    ( ~ spl52_190
    | spl52_213
    | ~ spl52_89
    | ~ spl52_148 ),
    inference(avatar_split_clause,[],[f1786,f1035,f742,f1468,f1281]) ).

fof(f1281,plain,
    ( spl52_190
  <=> c3_1(a2005) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_190])]) ).

fof(f1468,plain,
    ( spl52_213
  <=> c1_1(a2005) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_213])]) ).

fof(f1035,plain,
    ( spl52_148
  <=> c0_1(a2005) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_148])]) ).

fof(f1786,plain,
    ( c1_1(a2005)
    | ~ c3_1(a2005)
    | ~ spl52_89
    | ~ spl52_148 ),
    inference(resolution,[],[f743,f1037]) ).

fof(f1037,plain,
    ( c0_1(a2005)
    | ~ spl52_148 ),
    inference(avatar_component_clause,[],[f1035]) ).

fof(f1792,plain,
    ( ~ spl52_86
    | spl52_210
    | ~ spl52_89
    | ~ spl52_162 ),
    inference(avatar_split_clause,[],[f1781,f1120,f742,f1416,f728]) ).

fof(f728,plain,
    ( spl52_86
  <=> c3_1(a1996) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_86])]) ).

fof(f1781,plain,
    ( c1_1(a1996)
    | ~ c3_1(a1996)
    | ~ spl52_89
    | ~ spl52_162 ),
    inference(resolution,[],[f743,f1122]) ).

fof(f1732,plain,
    ( ~ spl52_216
    | spl52_99
    | ~ spl52_80
    | ~ spl52_175 ),
    inference(avatar_split_clause,[],[f1720,f1198,f701,f788,f1522]) ).

fof(f1522,plain,
    ( spl52_216
  <=> c2_1(a1983) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_216])]) ).

fof(f1720,plain,
    ( c1_1(a1983)
    | ~ c2_1(a1983)
    | ~ spl52_80
    | ~ spl52_175 ),
    inference(resolution,[],[f702,f1200]) ).

fof(f1200,plain,
    ( c3_1(a1983)
    | ~ spl52_175 ),
    inference(avatar_component_clause,[],[f1198]) ).

fof(f702,plain,
    ( ! [X4] :
        ( ~ c3_1(X4)
        | ~ c2_1(X4)
        | c1_1(X4) )
    | ~ spl52_80 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f1731,plain,
    ( spl52_127
    | ~ spl52_100
    | ~ spl52_80
    | ~ spl52_208 ),
    inference(avatar_split_clause,[],[f1723,f1404,f701,f793,f926]) ).

fof(f926,plain,
    ( spl52_127
  <=> c1_1(a1993) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_127])]) ).

fof(f793,plain,
    ( spl52_100
  <=> c2_1(a1993) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_100])]) ).

fof(f1404,plain,
    ( spl52_208
  <=> c3_1(a1993) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_208])]) ).

fof(f1723,plain,
    ( ~ c2_1(a1993)
    | c1_1(a1993)
    | ~ spl52_80
    | ~ spl52_208 ),
    inference(resolution,[],[f702,f1406]) ).

fof(f1406,plain,
    ( c3_1(a1993)
    | ~ spl52_208 ),
    inference(avatar_component_clause,[],[f1404]) ).

fof(f1690,plain,
    ( spl52_117
    | spl52_147
    | ~ spl52_45
    | ~ spl52_170 ),
    inference(avatar_split_clause,[],[f1677,f1165,f545,f1029,f872]) ).

fof(f872,plain,
    ( spl52_117
  <=> c2_1(a1975) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_117])]) ).

fof(f1029,plain,
    ( spl52_147
  <=> c1_1(a1975) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_147])]) ).

fof(f545,plain,
    ( spl52_45
  <=> ! [X107] :
        ( c1_1(X107)
        | ~ c0_1(X107)
        | c2_1(X107) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_45])]) ).

fof(f1165,plain,
    ( spl52_170
  <=> c0_1(a1975) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_170])]) ).

fof(f1677,plain,
    ( c1_1(a1975)
    | c2_1(a1975)
    | ~ spl52_45
    | ~ spl52_170 ),
    inference(resolution,[],[f546,f1167]) ).

fof(f1167,plain,
    ( c0_1(a1975)
    | ~ spl52_170 ),
    inference(avatar_component_clause,[],[f1165]) ).

fof(f546,plain,
    ( ! [X107] :
        ( ~ c0_1(X107)
        | c2_1(X107)
        | c1_1(X107) )
    | ~ spl52_45 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f1663,plain,
    ( spl52_214
    | spl52_76
    | ~ spl52_43
    | spl52_128 ),
    inference(avatar_split_clause,[],[f1661,f931,f537,f683,f1500]) ).

fof(f1661,plain,
    ( c3_1(a1989)
    | c1_1(a1989)
    | ~ spl52_43
    | spl52_128 ),
    inference(resolution,[],[f933,f538]) ).

fof(f1662,plain,
    ( ~ spl52_22
    | spl52_214
    | ~ spl52_73
    | spl52_128 ),
    inference(avatar_split_clause,[],[f1660,f931,f670,f1500,f444]) ).

fof(f444,plain,
    ( spl52_22
  <=> c2_1(a1989) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_22])]) ).

fof(f1660,plain,
    ( c1_1(a1989)
    | ~ c2_1(a1989)
    | ~ spl52_73
    | spl52_128 ),
    inference(resolution,[],[f933,f671]) ).

fof(f1608,plain,
    ( spl52_99
    | spl52_216
    | ~ spl52_11
    | ~ spl52_175 ),
    inference(avatar_split_clause,[],[f1599,f1198,f396,f1522,f788]) ).

fof(f396,plain,
    ( spl52_11
  <=> ! [X59] :
        ( c2_1(X59)
        | c1_1(X59)
        | ~ c3_1(X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_11])]) ).

fof(f1599,plain,
    ( c2_1(a1983)
    | c1_1(a1983)
    | ~ spl52_11
    | ~ spl52_175 ),
    inference(resolution,[],[f397,f1200]) ).

fof(f397,plain,
    ( ! [X59] :
        ( ~ c3_1(X59)
        | c1_1(X59)
        | c2_1(X59) )
    | ~ spl52_11 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f1607,plain,
    ( spl52_156
    | spl52_189
    | ~ spl52_8
    | ~ spl52_11 ),
    inference(avatar_split_clause,[],[f1601,f396,f383,f1275,f1086]) ).

fof(f1086,plain,
    ( spl52_156
  <=> c1_1(a1990) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_156])]) ).

fof(f1275,plain,
    ( spl52_189
  <=> c2_1(a1990) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_189])]) ).

fof(f383,plain,
    ( spl52_8
  <=> c3_1(a1990) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_8])]) ).

fof(f1601,plain,
    ( c2_1(a1990)
    | c1_1(a1990)
    | ~ spl52_8
    | ~ spl52_11 ),
    inference(resolution,[],[f397,f385]) ).

fof(f385,plain,
    ( c3_1(a1990)
    | ~ spl52_8 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f1588,plain,
    ( ~ spl52_22
    | ~ spl52_2
    | spl52_76
    | ~ spl52_77 ),
    inference(avatar_split_clause,[],[f1581,f689,f683,f356,f444]) ).

fof(f1581,plain,
    ( ~ c2_1(a1989)
    | ~ spl52_2
    | spl52_76
    | ~ spl52_77 ),
    inference(resolution,[],[f1538,f685]) ).

fof(f685,plain,
    ( ~ c3_1(a1989)
    | spl52_76 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f1538,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | ~ c2_1(X2) )
    | ~ spl52_2
    | ~ spl52_77 ),
    inference(duplicate_literal_removal,[],[f1528]) ).

fof(f1528,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | ~ c2_1(X2)
        | c3_1(X2)
        | c3_1(X2) )
    | ~ spl52_2
    | ~ spl52_77 ),
    inference(resolution,[],[f690,f357]) ).

fof(f1586,plain,
    ( ~ spl52_185
    | ~ spl52_2
    | ~ spl52_77
    | spl52_124 ),
    inference(avatar_split_clause,[],[f1583,f911,f689,f356,f1251]) ).

fof(f1583,plain,
    ( ~ c2_1(a2009)
    | ~ spl52_2
    | ~ spl52_77
    | spl52_124 ),
    inference(resolution,[],[f1538,f913]) ).

fof(f1547,plain,
    ( spl52_213
    | ~ spl52_186
    | ~ spl52_80
    | ~ spl52_190 ),
    inference(avatar_split_clause,[],[f1545,f1281,f701,f1257,f1468]) ).

fof(f1257,plain,
    ( spl52_186
  <=> c2_1(a2005) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_186])]) ).

fof(f1545,plain,
    ( ~ c2_1(a2005)
    | c1_1(a2005)
    | ~ spl52_80
    | ~ spl52_190 ),
    inference(resolution,[],[f702,f1283]) ).

fof(f1283,plain,
    ( c3_1(a2005)
    | ~ spl52_190 ),
    inference(avatar_component_clause,[],[f1281]) ).

fof(f1546,plain,
    ( spl52_198
    | ~ spl52_130
    | ~ spl52_80
    | ~ spl52_183 ),
    inference(avatar_split_clause,[],[f1541,f1241,f701,f943,f1329]) ).

fof(f1329,plain,
    ( spl52_198
  <=> c1_1(a1987) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_198])]) ).

fof(f943,plain,
    ( spl52_130
  <=> c2_1(a1987) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_130])]) ).

fof(f1241,plain,
    ( spl52_183
  <=> c3_1(a1987) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_183])]) ).

fof(f1541,plain,
    ( ~ c2_1(a1987)
    | c1_1(a1987)
    | ~ spl52_80
    | ~ spl52_183 ),
    inference(resolution,[],[f702,f1243]) ).

fof(f1243,plain,
    ( c3_1(a1987)
    | ~ spl52_183 ),
    inference(avatar_component_clause,[],[f1241]) ).

fof(f1525,plain,
    ( spl52_99
    | ~ spl52_216
    | ~ spl52_73
    | spl52_98 ),
    inference(avatar_split_clause,[],[f1518,f783,f670,f1522,f788]) ).

fof(f1518,plain,
    ( ~ c2_1(a1983)
    | c1_1(a1983)
    | ~ spl52_73
    | spl52_98 ),
    inference(resolution,[],[f671,f785]) ).

fof(f1514,plain,
    ( ~ spl52_166
    | ~ spl52_215
    | ~ spl52_29
    | ~ spl52_181 ),
    inference(avatar_split_clause,[],[f1508,f1231,f476,f1510,f1144]) ).

fof(f1144,plain,
    ( spl52_166
  <=> c1_1(a1998) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_166])]) ).

fof(f1508,plain,
    ( ~ c2_1(a1998)
    | ~ c1_1(a1998)
    | ~ spl52_29
    | ~ spl52_181 ),
    inference(resolution,[],[f1233,f477]) ).

fof(f1233,plain,
    ( c3_1(a1998)
    | ~ spl52_181 ),
    inference(avatar_component_clause,[],[f1231]) ).

fof(f1513,plain,
    ( spl52_215
    | ~ spl52_166
    | ~ spl52_51
    | ~ spl52_181 ),
    inference(avatar_split_clause,[],[f1507,f1231,f571,f1144,f1510]) ).

fof(f1507,plain,
    ( ~ c1_1(a1998)
    | c2_1(a1998)
    | ~ spl52_51
    | ~ spl52_181 ),
    inference(resolution,[],[f1233,f572]) ).

fof(f1488,plain,
    ( spl52_39
    | ~ spl52_41
    | ~ spl52_54
    | ~ spl52_121 ),
    inference(avatar_split_clause,[],[f1485,f897,f584,f528,f518]) ).

fof(f518,plain,
    ( spl52_39
  <=> c2_1(a2014) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_39])]) ).

fof(f528,plain,
    ( spl52_41
  <=> c1_1(a2014) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_41])]) ).

fof(f897,plain,
    ( spl52_121
  <=> c0_1(a2014) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_121])]) ).

fof(f1485,plain,
    ( ~ c1_1(a2014)
    | c2_1(a2014)
    | ~ spl52_54
    | ~ spl52_121 ),
    inference(resolution,[],[f585,f899]) ).

fof(f899,plain,
    ( c0_1(a2014)
    | ~ spl52_121 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f1477,plain,
    ( ~ spl52_210
    | spl52_125
    | ~ spl52_51
    | ~ spl52_86 ),
    inference(avatar_split_clause,[],[f1475,f728,f571,f916,f1416]) ).

fof(f1475,plain,
    ( c2_1(a1996)
    | ~ c1_1(a1996)
    | ~ spl52_51
    | ~ spl52_86 ),
    inference(resolution,[],[f572,f730]) ).

fof(f730,plain,
    ( c3_1(a1996)
    | ~ spl52_86 ),
    inference(avatar_component_clause,[],[f728]) ).

fof(f1471,plain,
    ( ~ spl52_213
    | ~ spl52_186
    | ~ spl52_29
    | ~ spl52_190 ),
    inference(avatar_split_clause,[],[f1466,f1281,f476,f1257,f1468]) ).

fof(f1466,plain,
    ( ~ c2_1(a2005)
    | ~ c1_1(a2005)
    | ~ spl52_29
    | ~ spl52_190 ),
    inference(resolution,[],[f1283,f477]) ).

fof(f1464,plain,
    ( spl52_125
    | spl52_210
    | ~ spl52_45
    | ~ spl52_162 ),
    inference(avatar_split_clause,[],[f1454,f1120,f545,f1416,f916]) ).

fof(f1454,plain,
    ( c1_1(a1996)
    | c2_1(a1996)
    | ~ spl52_45
    | ~ spl52_162 ),
    inference(resolution,[],[f546,f1122]) ).

fof(f1445,plain,
    ( spl52_208
    | spl52_127
    | ~ spl52_43
    | spl52_204 ),
    inference(avatar_split_clause,[],[f1442,f1369,f537,f926,f1404]) ).

fof(f1369,plain,
    ( spl52_204
  <=> c0_1(a1993) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_204])]) ).

fof(f1442,plain,
    ( c1_1(a1993)
    | c3_1(a1993)
    | ~ spl52_43
    | spl52_204 ),
    inference(resolution,[],[f538,f1371]) ).

fof(f1371,plain,
    ( ~ c0_1(a1993)
    | spl52_204 ),
    inference(avatar_component_clause,[],[f1369]) ).

fof(f1444,plain,
    ( spl52_207
    | spl52_81
    | ~ spl52_43
    | spl52_62 ),
    inference(avatar_split_clause,[],[f1443,f620,f537,f705,f1392]) ).

fof(f1443,plain,
    ( c3_1(a2000)
    | c1_1(a2000)
    | ~ spl52_43
    | spl52_62 ),
    inference(resolution,[],[f538,f622]) ).

fof(f1435,plain,
    ( spl52_76
    | ~ spl52_22
    | ~ spl52_2
    | spl52_128 ),
    inference(avatar_split_clause,[],[f1434,f931,f356,f444,f683]) ).

fof(f1434,plain,
    ( ~ c2_1(a1989)
    | c3_1(a1989)
    | ~ spl52_2
    | spl52_128 ),
    inference(resolution,[],[f933,f357]) ).

fof(f1433,plain,
    ( spl52_133
    | ~ spl52_102
    | ~ spl52_32
    | ~ spl52_134 ),
    inference(avatar_split_clause,[],[f1428,f964,f489,f803,f958]) ).

fof(f958,plain,
    ( spl52_133
  <=> c1_1(a1971) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_133])]) ).

fof(f803,plain,
    ( spl52_102
  <=> c2_1(a1971) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_102])]) ).

fof(f489,plain,
    ( spl52_32
  <=> ! [X105] :
        ( ~ c2_1(X105)
        | ~ c0_1(X105)
        | c1_1(X105) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_32])]) ).

fof(f964,plain,
    ( spl52_134
  <=> c0_1(a1971) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_134])]) ).

fof(f1428,plain,
    ( ~ c2_1(a1971)
    | c1_1(a1971)
    | ~ spl52_32
    | ~ spl52_134 ),
    inference(resolution,[],[f490,f966]) ).

fof(f966,plain,
    ( c0_1(a1971)
    | ~ spl52_134 ),
    inference(avatar_component_clause,[],[f964]) ).

fof(f490,plain,
    ( ! [X105] :
        ( ~ c0_1(X105)
        | ~ c2_1(X105)
        | c1_1(X105) )
    | ~ spl52_32 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f1424,plain,
    ( spl52_211
    | spl52_169
    | ~ spl52_11
    | ~ spl52_176 ),
    inference(avatar_split_clause,[],[f1413,f1204,f396,f1160,f1421]) ).

fof(f1413,plain,
    ( c2_1(a1979)
    | c1_1(a1979)
    | ~ spl52_11
    | ~ spl52_176 ),
    inference(resolution,[],[f397,f1206]) ).

fof(f1419,plain,
    ( spl52_125
    | spl52_210
    | ~ spl52_11
    | ~ spl52_86 ),
    inference(avatar_split_clause,[],[f1414,f728,f396,f1416,f916]) ).

fof(f1414,plain,
    ( c1_1(a1996)
    | c2_1(a1996)
    | ~ spl52_11
    | ~ spl52_86 ),
    inference(resolution,[],[f397,f730]) ).

fof(f1399,plain,
    ( spl52_74
    | spl52_90 ),
    inference(avatar_split_clause,[],[f301,f746,f674]) ).

fof(f674,plain,
    ( spl52_74
  <=> sP47 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_74])]) ).

fof(f301,plain,
    ! [X102] :
      ( ~ c3_1(X102)
      | sP47
      | c2_1(X102)
      | c0_1(X102) ),
    inference(cnf_transformation,[],[f301_D]) ).

fof(f301_D,plain,
    ( ! [X102] :
        ( ~ c3_1(X102)
        | c2_1(X102)
        | c0_1(X102) )
  <=> ~ sP47 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP47])]) ).

fof(f1395,plain,
    ( ~ spl52_47
    | ~ spl52_207 ),
    inference(avatar_split_clause,[],[f185,f1392,f554]) ).

fof(f554,plain,
    ( spl52_47
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_47])]) ).

fof(f185,plain,
    ( ~ c1_1(a2000)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ( ~ hskp22
      | ( c0_1(a2012)
        & ~ c3_1(a2012)
        & ndr1_0
        & ~ c2_1(a2012) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | ~ ndr1_0
          | c1_1(X0)
          | c3_1(X0) )
      | hskp1
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | c2_1(X1) ) )
    & ( ( c3_1(a1970)
        & c2_1(a1970)
        & c1_1(a1970)
        & ndr1_0 )
      | ~ hskp27 )
    & ( hskp11
      | ! [X2] :
          ( c2_1(X2)
          | ~ c3_1(X2)
          | c0_1(X2)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ( c3_1(a1972)
        & c0_1(a1972)
        & c1_1(a1972)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ! [X3] :
          ( ~ ndr1_0
          | c1_1(X3)
          | ~ c0_1(X3)
          | c2_1(X3) )
      | ! [X4] :
          ( ~ ndr1_0
          | ~ c2_1(X4)
          | c1_1(X4)
          | ~ c3_1(X4) )
      | ! [X5] :
          ( ~ ndr1_0
          | c2_1(X5)
          | ~ c3_1(X5)
          | ~ c1_1(X5) ) )
    & ( ! [X6] :
          ( c3_1(X6)
          | ~ ndr1_0
          | c1_1(X6)
          | c0_1(X6) )
      | ! [X7] :
          ( c2_1(X7)
          | c3_1(X7)
          | c0_1(X7)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X8] :
          ( c2_1(X8)
          | ~ c1_1(X8)
          | ~ ndr1_0
          | ~ c3_1(X8) )
      | ! [X9] :
          ( ~ c1_1(X9)
          | ~ ndr1_0
          | ~ c0_1(X9)
          | ~ c3_1(X9) )
      | hskp20 )
    & ( hskp21
      | hskp18
      | hskp16 )
    & ( hskp2
      | ! [X10] :
          ( c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0
          | c2_1(X10) )
      | ! [X11] :
          ( ~ c2_1(X11)
          | ~ ndr1_0
          | c0_1(X11)
          | c1_1(X11) ) )
    & ( ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12) )
      | hskp5
      | ! [X13] :
          ( ~ c3_1(X13)
          | c0_1(X13)
          | ~ ndr1_0
          | c1_1(X13) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c1_1(a2000)
        & ~ c0_1(a2000)
        & ~ c3_1(a2000) ) )
    & ( ~ hskp15
      | ( ~ c1_1(a1993)
        & ~ c0_1(a1993)
        & ndr1_0
        & c2_1(a1993) ) )
    & ( ! [X14] :
          ( ~ ndr1_0
          | c0_1(X14)
          | ~ c3_1(X14)
          | c2_1(X14) )
      | ! [X15] :
          ( ~ ndr1_0
          | c0_1(X15)
          | ~ c1_1(X15)
          | ~ c3_1(X15) )
      | hskp29 )
    & ( ! [X16] :
          ( ~ c0_1(X16)
          | c1_1(X16)
          | ~ ndr1_0
          | ~ c2_1(X16) )
      | ! [X17] :
          ( c2_1(X17)
          | ~ c0_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ ndr1_0
          | ~ c2_1(X18)
          | c1_1(X18) ) )
    & ( ! [X19] :
          ( ~ c1_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0
          | ~ c2_1(X19) )
      | hskp17 )
    & ( hskp12
      | hskp0
      | ! [X20] :
          ( c3_1(X20)
          | ~ ndr1_0
          | ~ c0_1(X20)
          | ~ c2_1(X20) ) )
    & ( ( ndr1_0
        & ~ c0_1(a1989)
        & ~ c3_1(a1989)
        & c2_1(a1989) )
      | ~ hskp11 )
    & ( hskp11
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c1_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ( c1_1(a1973)
        & c3_1(a1973)
        & ~ c2_1(a1973)
        & ndr1_0 )
      | ~ hskp2 )
    & ( hskp25
      | hskp24
      | ! [X22] :
          ( ~ c2_1(X22)
          | c3_1(X22)
          | ~ ndr1_0
          | ~ c0_1(X22) ) )
    & ( hskp6
      | ! [X23] :
          ( c1_1(X23)
          | ~ ndr1_0
          | ~ c2_1(X23)
          | c3_1(X23) )
      | hskp23 )
    & ( ( c1_1(a2003)
        & ndr1_0
        & ~ c3_1(a2003)
        & c2_1(a2003) )
      | ~ hskp20 )
    & ( ( ~ c2_1(a2014)
        & c1_1(a2014)
        & ndr1_0
        & c0_1(a2014) )
      | ~ hskp23 )
    & ( ! [X24] :
          ( ~ c1_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0
          | c0_1(X24) )
      | hskp7
      | ! [X25] :
          ( ~ ndr1_0
          | c2_1(X25)
          | ~ c1_1(X25)
          | c0_1(X25) ) )
    & ( hskp4
      | hskp1
      | ! [X26] :
          ( ~ c0_1(X26)
          | ~ ndr1_0
          | ~ c1_1(X26)
          | ~ c2_1(X26) ) )
    & ( ! [X27] :
          ( c3_1(X27)
          | c2_1(X27)
          | c0_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c2_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0
          | ~ c3_1(X28) ) )
    & ( hskp15
      | ! [X29] :
          ( ~ c0_1(X29)
          | ~ c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 )
      | hskp30 )
    & ( ! [X30] :
          ( c2_1(X30)
          | ~ c1_1(X30)
          | ~ c0_1(X30)
          | ~ ndr1_0 )
      | hskp24
      | hskp16 )
    & ( ! [X31] :
          ( ~ ndr1_0
          | c1_1(X31)
          | c0_1(X31)
          | c2_1(X31) )
      | ! [X32] :
          ( ~ c0_1(X32)
          | c2_1(X32)
          | ~ ndr1_0
          | c1_1(X32) )
      | hskp0 )
    & ( ! [X33] :
          ( c2_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0
          | ~ c0_1(X33) )
      | ! [X34] :
          ( c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0
          | c2_1(X34) )
      | hskp12 )
    & ( hskp11
      | hskp10
      | ! [X35] :
          ( c1_1(X35)
          | ~ ndr1_0
          | ~ c0_1(X35)
          | ~ c2_1(X35) ) )
    & ( ( ~ c1_1(a1971)
        & c2_1(a1971)
        & c0_1(a1971)
        & ndr1_0 )
      | ~ hskp1 )
    & ( hskp27
      | hskp6
      | hskp30 )
    & ( ( c2_1(a2005)
        & c0_1(a2005)
        & ndr1_0
        & c3_1(a2005) )
      | ~ hskp30 )
    & ( ! [X36] :
          ( c3_1(X36)
          | ~ c0_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c1_1(X37)
          | c2_1(X37)
          | ~ ndr1_0
          | ~ c3_1(X37) )
      | ! [X38] :
          ( c3_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0
          | c2_1(X38) ) )
    & ( ~ hskp7
      | ( c1_1(a1981)
        & ndr1_0
        & ~ c3_1(a1981)
        & c0_1(a1981) ) )
    & ( ! [X39] :
          ( c2_1(X39)
          | ~ c1_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 )
      | hskp10
      | ! [X40] :
          ( c2_1(X40)
          | c0_1(X40)
          | ~ ndr1_0
          | ~ c3_1(X40) ) )
    & ( hskp10
      | ! [X41] :
          ( ~ c1_1(X41)
          | ~ c3_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c0_1(X42)
          | ~ ndr1_0
          | c3_1(X42)
          | ~ c2_1(X42) ) )
    & ( ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | ~ c1_1(X43)
          | ~ c2_1(X43) )
      | hskp27
      | ! [X44] :
          ( ~ c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0
          | c1_1(X44) ) )
    & ( hskp12
      | ! [X45] :
          ( ~ c3_1(X45)
          | c0_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c0_1(X46)
          | ~ ndr1_0
          | ~ c1_1(X46)
          | c3_1(X46) ) )
    & ( hskp10
      | ! [X47] :
          ( c1_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0
          | ~ c3_1(X47) ) )
    & ( ! [X48] :
          ( ~ c1_1(X48)
          | ~ ndr1_0
          | c2_1(X48)
          | ~ c0_1(X48) )
      | ! [X49] :
          ( ~ c2_1(X49)
          | ~ ndr1_0
          | c1_1(X49)
          | c3_1(X49) )
      | ! [X50] :
          ( c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0
          | c3_1(X50) ) )
    & ( ~ hskp29
      | ( c0_1(a1978)
        & c1_1(a1978)
        & ndr1_0
        & c2_1(a1978) ) )
    & ( ! [X51] :
          ( ~ c3_1(X51)
          | c0_1(X51)
          | c2_1(X51)
          | ~ ndr1_0 )
      | hskp9
      | ! [X52] :
          ( c0_1(X52)
          | ~ ndr1_0
          | ~ c2_1(X52)
          | ~ c3_1(X52) ) )
    & ( hskp16
      | ! [X53] :
          ( c2_1(X53)
          | ~ ndr1_0
          | ~ c0_1(X53)
          | c3_1(X53) )
      | hskp15 )
    & ( ! [X54] :
          ( c0_1(X54)
          | ~ ndr1_0
          | ~ c3_1(X54)
          | ~ c1_1(X54) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c2_1(X55)
          | ~ c1_1(X55)
          | c0_1(X55) )
      | hskp3 )
    & ( ~ hskp13
      | ( c2_1(a1991)
        & ndr1_0
        & ~ c3_1(a1991)
        & c0_1(a1991) ) )
    & ( ! [X56] :
          ( ~ c1_1(X56)
          | ~ c0_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | hskp8
      | hskp3 )
    & ( ! [X57] :
          ( ~ ndr1_0
          | ~ c3_1(X57)
          | ~ c0_1(X57)
          | c1_1(X57) )
      | ! [X58] :
          ( c0_1(X58)
          | ~ ndr1_0
          | ~ c2_1(X58)
          | ~ c3_1(X58) )
      | hskp19 )
    & ( ( ~ c0_1(a1979)
        & ndr1_0
        & c3_1(a1979)
        & ~ c2_1(a1979) )
      | ~ hskp6 )
    & ( ~ hskp5
      | ( ~ c2_1(a1977)
        & c1_1(a1977)
        & ndr1_0
        & ~ c3_1(a1977) ) )
    & ( hskp10
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ ndr1_0
          | c1_1(X59)
          | c2_1(X59) )
      | hskp1 )
    & ( hskp14
      | ! [X60] :
          ( ~ ndr1_0
          | c0_1(X60)
          | ~ c2_1(X60)
          | c3_1(X60) )
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ ndr1_0
          | c1_1(X61)
          | ~ c0_1(X61) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a2001)
        & ~ c0_1(a2001)
        & c3_1(a2001) ) )
    & ( ( ~ c3_1(a1969)
        & ~ c2_1(a1969)
        & ndr1_0
        & ~ c1_1(a1969) )
      | ~ hskp0 )
    & ( hskp29
      | hskp6
      | ! [X62] :
          ( ~ ndr1_0
          | c1_1(X62)
          | ~ c3_1(X62)
          | c0_1(X62) ) )
    & ( ( ~ c0_1(a2041)
        & ~ c3_1(a2041)
        & ndr1_0
        & ~ c2_1(a2041) )
      | ~ hskp25 )
    & ( ~ hskp3
      | ( ~ c0_1(a1974)
        & ndr1_0
        & c2_1(a1974)
        & c1_1(a1974) ) )
    & ( ~ hskp26
      | ( c0_1(a2049)
        & ndr1_0
        & c3_1(a2049)
        & ~ c1_1(a2049) ) )
    & ( ! [X63] :
          ( ~ ndr1_0
          | c0_1(X63)
          | c1_1(X63)
          | ~ c2_1(X63) )
      | hskp3
      | ! [X64] :
          ( c2_1(X64)
          | ~ c1_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( ~ c1_1(X65)
          | ~ ndr1_0
          | ~ c2_1(X65)
          | c0_1(X65) )
      | hskp10
      | ! [X66] :
          ( c3_1(X66)
          | ~ ndr1_0
          | ~ c1_1(X66)
          | ~ c0_1(X66) ) )
    & ( ! [X67] :
          ( ~ ndr1_0
          | c3_1(X67)
          | c0_1(X67)
          | c1_1(X67) )
      | ! [X68] :
          ( ~ c1_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0
          | ~ c2_1(X68) )
      | hskp28 )
    & ( hskp15
      | hskp19
      | hskp16 )
    & ( ! [X69] :
          ( ~ c1_1(X69)
          | c2_1(X69)
          | ~ c0_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c3_1(X70)
          | c0_1(X70)
          | ~ c2_1(X70)
          | ~ ndr1_0 ) )
    & ( ! [X71] :
          ( ~ c0_1(X71)
          | ~ c1_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c1_1(X72)
          | c0_1(X72)
          | ~ c3_1(X72) )
      | hskp16 )
    & ( hskp21
      | hskp1
      | hskp28 )
    & ( hskp5
      | hskp23
      | hskp8 )
    & ( ( c3_1(a1996)
        & ndr1_0
        & c0_1(a1996)
        & ~ c2_1(a1996) )
      | ~ hskp16 )
    & ( ! [X73] :
          ( c0_1(X73)
          | c1_1(X73)
          | c3_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c1_1(X74)
          | ~ c2_1(X74)
          | ~ ndr1_0
          | ~ c0_1(X74) )
      | ! [X75] :
          ( c2_1(X75)
          | ~ ndr1_0
          | ~ c3_1(X75)
          | c1_1(X75) ) )
    & ( ! [X76] :
          ( ~ c1_1(X76)
          | c3_1(X76)
          | ~ ndr1_0
          | c0_1(X76) )
      | ! [X77] :
          ( c2_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0
          | ~ c0_1(X77) )
      | ! [X78] :
          ( ~ c0_1(X78)
          | ~ c1_1(X78)
          | ~ ndr1_0
          | ~ c2_1(X78) ) )
    & ( ! [X79] :
          ( ~ ndr1_0
          | c0_1(X79)
          | c1_1(X79)
          | ~ c2_1(X79) )
      | hskp4
      | hskp27 )
    & ( ! [X80] :
          ( c2_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0
          | ~ c1_1(X80) )
      | ! [X81] :
          ( c1_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0
          | c2_1(X81) )
      | ! [X82] :
          ( c0_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0
          | c2_1(X82) ) )
    & ( ~ hskp4
      | ( ~ c1_1(a1975)
        & ndr1_0
        & c0_1(a1975)
        & ~ c2_1(a1975) ) )
    & ( ! [X83] :
          ( ~ ndr1_0
          | ~ c2_1(X83)
          | c3_1(X83)
          | c0_1(X83) )
      | hskp13
      | ! [X84] :
          ( ~ c1_1(X84)
          | ~ c3_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( ! [X85] :
          ( c2_1(X85)
          | c0_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ ndr1_0
          | c2_1(X86)
          | ~ c1_1(X86)
          | c3_1(X86) )
      | ! [X87] :
          ( c2_1(X87)
          | c1_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a1983)
        & ~ c0_1(a1983)
        & ndr1_0
        & ~ c1_1(a1983) )
      | ~ hskp8 )
    & ( ~ hskp9
      | ( c1_1(a1985)
        & ~ c3_1(a1985)
        & ndr1_0
        & ~ c0_1(a1985) ) )
    & ( hskp25
      | hskp26
      | ! [X88] :
          ( ~ c1_1(X88)
          | ~ c0_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 ) )
    & ( ( ~ c3_1(a2009)
        & ndr1_0
        & ~ c1_1(a2009)
        & c2_1(a2009) )
      | ~ hskp21 )
    & ( hskp4
      | ! [X89] :
          ( ~ c3_1(X89)
          | c0_1(X89)
          | ~ ndr1_0
          | ~ c1_1(X89) )
      | hskp18 )
    & ( ! [X90] :
          ( c3_1(X90)
          | ~ ndr1_0
          | ~ c1_1(X90)
          | ~ c2_1(X90) )
      | hskp14
      | hskp10 )
    & ( ! [X91] :
          ( c1_1(X91)
          | c3_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c3_1(X92)
          | c0_1(X92)
          | ~ ndr1_0
          | c2_1(X92) )
      | ! [X93] :
          ( ~ c1_1(X93)
          | ~ c0_1(X93)
          | ~ c2_1(X93)
          | ~ ndr1_0 ) )
    & ( ! [X94] :
          ( ~ c3_1(X94)
          | c2_1(X94)
          | c1_1(X94)
          | ~ ndr1_0 )
      | hskp2
      | hskp22 )
    & ( ~ hskp24
      | ( ~ c1_1(a2031)
        & ~ c2_1(a2031)
        & ~ c0_1(a2031)
        & ndr1_0 ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c0_1(a1992)
        & ~ c2_1(a1992)
        & c1_1(a1992) ) )
    & ( ! [X95] :
          ( c0_1(X95)
          | c3_1(X95)
          | ~ ndr1_0
          | c1_1(X95) )
      | ! [X96] :
          ( c3_1(X96)
          | c0_1(X96)
          | ~ c2_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c3_1(X97)
          | ~ ndr1_0
          | ~ c2_1(X97)
          | ~ c1_1(X97) ) )
    & ( hskp8
      | hskp28
      | ! [X98] :
          ( c2_1(X98)
          | c0_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 ) )
    & ( ! [X99] :
          ( ~ ndr1_0
          | c1_1(X99)
          | c3_1(X99)
          | ~ c2_1(X99) )
      | ! [X100] :
          ( c2_1(X100)
          | ~ c1_1(X100)
          | ~ c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c2_1(X101)
          | ~ c3_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ~ hskp12
      | ( ~ c2_1(a1990)
        & ndr1_0
        & ~ c1_1(a1990)
        & c3_1(a1990) ) )
    & ( ! [X102] :
          ( ~ c3_1(X102)
          | c2_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c1_1(X103)
          | ~ c3_1(X103)
          | c2_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c0_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0
          | c3_1(X104) ) )
    & ( ( c2_1(a1987)
        & ~ c1_1(a1987)
        & ndr1_0
        & c3_1(a1987) )
      | ~ hskp10 )
    & ( hskp8
      | ! [X105] :
          ( c1_1(X105)
          | ~ c2_1(X105)
          | ~ ndr1_0
          | ~ c0_1(X105) )
      | ! [X106] :
          ( c2_1(X106)
          | ~ ndr1_0
          | ~ c3_1(X106)
          | c0_1(X106) ) )
    & ( hskp10
      | ! [X107] :
          ( c1_1(X107)
          | ~ c0_1(X107)
          | c2_1(X107)
          | ~ ndr1_0 )
      | hskp4 )
    & ( hskp4
      | hskp11
      | ! [X108] :
          ( ~ c2_1(X108)
          | ~ c3_1(X108)
          | ~ c1_1(X108)
          | ~ ndr1_0 ) )
    & ( ! [X109] :
          ( c2_1(X109)
          | c1_1(X109)
          | ~ ndr1_0
          | ~ c3_1(X109) )
      | hskp21
      | ! [X110] :
          ( ~ c1_1(X110)
          | c3_1(X110)
          | c2_1(X110)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c0_1(X111)
          | c2_1(X111)
          | ~ c1_1(X111) )
      | hskp22 )
    & ( hskp5
      | hskp30
      | ! [X112] :
          ( ~ c0_1(X112)
          | c2_1(X112)
          | c1_1(X112)
          | ~ ndr1_0 ) )
    & ( ! [X113] :
          ( c1_1(X113)
          | ~ ndr1_0
          | c3_1(X113)
          | ~ c2_1(X113) )
      | hskp3
      | hskp17 )
    & ( ( ndr1_0
        & c1_1(a1998)
        & ~ c0_1(a1998)
        & c3_1(a1998) )
      | ~ hskp17 )
    & ( ! [X114] :
          ( ~ c3_1(X114)
          | ~ c0_1(X114)
          | ~ ndr1_0
          | c1_1(X114) )
      | hskp6
      | hskp18 )
    & ( ! [X115] :
          ( c0_1(X115)
          | ~ c1_1(X115)
          | ~ ndr1_0
          | ~ c3_1(X115) )
      | hskp13
      | hskp17 )
    & ( hskp17
      | hskp4
      | ! [X116] :
          ( ~ c0_1(X116)
          | ~ c2_1(X116)
          | ~ ndr1_0
          | c3_1(X116) ) )
    & ( ! [X117] :
          ( ~ c3_1(X117)
          | ~ ndr1_0
          | c0_1(X117)
          | ~ c2_1(X117) )
      | hskp13
      | hskp20 )
    & ( ! [X118] :
          ( c2_1(X118)
          | c3_1(X118)
          | ~ c1_1(X118)
          | ~ ndr1_0 )
      | hskp15
      | ! [X119] :
          ( ~ ndr1_0
          | ~ c2_1(X119)
          | c0_1(X119)
          | c3_1(X119) ) )
    & ( ! [X120] :
          ( ~ ndr1_0
          | c0_1(X120)
          | c2_1(X120)
          | c3_1(X120) )
      | hskp1
      | ! [X121] :
          ( c2_1(X121)
          | ~ c0_1(X121)
          | ~ ndr1_0
          | ~ c3_1(X121) ) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,plain,
    ( ( ~ hskp22
      | ( c0_1(a2012)
        & ~ c3_1(a2012)
        & ndr1_0
        & ~ c2_1(a2012) ) )
    & ( ! [X83] :
          ( c0_1(X83)
          | ~ ndr1_0
          | c1_1(X83)
          | c3_1(X83) )
      | hskp1
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c1_1(X84)
          | ~ c0_1(X84)
          | c2_1(X84) ) )
    & ( ( c3_1(a1970)
        & c2_1(a1970)
        & c1_1(a1970)
        & ndr1_0 )
      | ~ hskp27 )
    & ( hskp11
      | ! [X50] :
          ( c2_1(X50)
          | ~ c3_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ( c3_1(a1972)
        & c0_1(a1972)
        & c1_1(a1972)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ! [X11] :
          ( ~ ndr1_0
          | c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11) )
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | c1_1(X12)
          | ~ c3_1(X12) )
      | ! [X13] :
          ( ~ ndr1_0
          | c2_1(X13)
          | ~ c3_1(X13)
          | ~ c1_1(X13) ) )
    & ( ! [X45] :
          ( c3_1(X45)
          | ~ ndr1_0
          | c1_1(X45)
          | c0_1(X45) )
      | ! [X46] :
          ( c2_1(X46)
          | c3_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X75] :
          ( c2_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0
          | ~ c3_1(X75) )
      | ! [X76] :
          ( ~ c1_1(X76)
          | ~ ndr1_0
          | ~ c0_1(X76)
          | ~ c3_1(X76) )
      | hskp20 )
    & ( hskp21
      | hskp18
      | hskp16 )
    & ( hskp2
      | ! [X113] :
          ( c1_1(X113)
          | c3_1(X113)
          | ~ ndr1_0
          | c2_1(X113) )
      | ! [X112] :
          ( ~ c2_1(X112)
          | ~ ndr1_0
          | c0_1(X112)
          | c1_1(X112) ) )
    & ( ! [X17] :
          ( ~ ndr1_0
          | ~ c2_1(X17)
          | ~ c0_1(X17)
          | c3_1(X17) )
      | hskp5
      | ! [X16] :
          ( ~ c3_1(X16)
          | c0_1(X16)
          | ~ ndr1_0
          | c1_1(X16) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c1_1(a2000)
        & ~ c0_1(a2000)
        & ~ c3_1(a2000) ) )
    & ( ~ hskp15
      | ( ~ c1_1(a1993)
        & ~ c0_1(a1993)
        & ndr1_0
        & c2_1(a1993) ) )
    & ( ! [X36] :
          ( ~ ndr1_0
          | c0_1(X36)
          | ~ c3_1(X36)
          | c2_1(X36) )
      | ! [X37] :
          ( ~ ndr1_0
          | c0_1(X37)
          | ~ c1_1(X37)
          | ~ c3_1(X37) )
      | hskp29 )
    & ( ! [X32] :
          ( ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0
          | ~ c2_1(X32) )
      | ! [X30] :
          ( c2_1(X30)
          | ~ c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c3_1(X31)
          | ~ ndr1_0
          | ~ c2_1(X31)
          | c1_1(X31) ) )
    & ( ! [X116] :
          ( ~ c1_1(X116)
          | ~ c0_1(X116)
          | ~ ndr1_0
          | ~ c2_1(X116) )
      | hskp17 )
    & ( hskp12
      | hskp0
      | ! [X95] :
          ( c3_1(X95)
          | ~ ndr1_0
          | ~ c0_1(X95)
          | ~ c2_1(X95) ) )
    & ( ( ndr1_0
        & ~ c0_1(a1989)
        & ~ c3_1(a1989)
        & c2_1(a1989) )
      | ~ hskp11 )
    & ( hskp11
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c1_1(X41)
          | c2_1(X41)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ( c1_1(a1973)
        & c3_1(a1973)
        & ~ c2_1(a1973)
        & ndr1_0 )
      | ~ hskp2 )
    & ( hskp25
      | hskp24
      | ! [X60] :
          ( ~ c2_1(X60)
          | c3_1(X60)
          | ~ ndr1_0
          | ~ c0_1(X60) ) )
    & ( hskp6
      | ! [X20] :
          ( c1_1(X20)
          | ~ ndr1_0
          | ~ c2_1(X20)
          | c3_1(X20) )
      | hskp23 )
    & ( ( c1_1(a2003)
        & ndr1_0
        & ~ c3_1(a2003)
        & c2_1(a2003) )
      | ~ hskp20 )
    & ( ( ~ c2_1(a2014)
        & c1_1(a2014)
        & ndr1_0
        & c0_1(a2014) )
      | ~ hskp23 )
    & ( ! [X118] :
          ( ~ c1_1(X118)
          | ~ c2_1(X118)
          | ~ ndr1_0
          | c0_1(X118) )
      | hskp7
      | ! [X119] :
          ( ~ ndr1_0
          | c2_1(X119)
          | ~ c1_1(X119)
          | c0_1(X119) ) )
    & ( hskp4
      | hskp1
      | ! [X57] :
          ( ~ c0_1(X57)
          | ~ ndr1_0
          | ~ c1_1(X57)
          | ~ c2_1(X57) ) )
    & ( ! [X49] :
          ( c3_1(X49)
          | c2_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c2_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0
          | ~ c3_1(X48) ) )
    & ( hskp15
      | ! [X104] :
          ( ~ c0_1(X104)
          | ~ c3_1(X104)
          | c1_1(X104)
          | ~ ndr1_0 )
      | hskp30 )
    & ( ! [X26] :
          ( c2_1(X26)
          | ~ c1_1(X26)
          | ~ c0_1(X26)
          | ~ ndr1_0 )
      | hskp24
      | hskp16 )
    & ( ! [X102] :
          ( ~ ndr1_0
          | c1_1(X102)
          | c0_1(X102)
          | c2_1(X102) )
      | ! [X103] :
          ( ~ c0_1(X103)
          | c2_1(X103)
          | ~ ndr1_0
          | c1_1(X103) )
      | hskp0 )
    & ( ! [X18] :
          ( c2_1(X18)
          | ~ c1_1(X18)
          | ~ ndr1_0
          | ~ c0_1(X18) )
      | ! [X19] :
          ( c3_1(X19)
          | c1_1(X19)
          | ~ ndr1_0
          | c2_1(X19) )
      | hskp12 )
    & ( hskp11
      | hskp10
      | ! [X9] :
          ( c1_1(X9)
          | ~ ndr1_0
          | ~ c0_1(X9)
          | ~ c2_1(X9) ) )
    & ( ( ~ c1_1(a1971)
        & c2_1(a1971)
        & c0_1(a1971)
        & ndr1_0 )
      | ~ hskp1 )
    & ( hskp27
      | hskp6
      | hskp30 )
    & ( ( c2_1(a2005)
        & c0_1(a2005)
        & ndr1_0
        & c3_1(a2005) )
      | ~ hskp30 )
    & ( ! [X8] :
          ( c3_1(X8)
          | ~ c0_1(X8)
          | ~ c1_1(X8)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0
          | ~ c3_1(X7) )
      | ! [X6] :
          ( c3_1(X6)
          | ~ c1_1(X6)
          | ~ ndr1_0
          | c2_1(X6) ) )
    & ( ~ hskp7
      | ( c1_1(a1981)
        & ndr1_0
        & ~ c3_1(a1981)
        & c0_1(a1981) ) )
    & ( ! [X108] :
          ( c2_1(X108)
          | ~ c1_1(X108)
          | ~ c0_1(X108)
          | ~ ndr1_0 )
      | hskp10
      | ! [X107] :
          ( c2_1(X107)
          | c0_1(X107)
          | ~ ndr1_0
          | ~ c3_1(X107) ) )
    & ( hskp10
      | ! [X105] :
          ( ~ c1_1(X105)
          | ~ c3_1(X105)
          | ~ c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c0_1(X106)
          | ~ ndr1_0
          | c3_1(X106)
          | ~ c2_1(X106) ) )
    & ( ! [X88] :
          ( ~ ndr1_0
          | ~ c3_1(X88)
          | ~ c1_1(X88)
          | ~ c2_1(X88) )
      | hskp27
      | ! [X89] :
          ( ~ c2_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0
          | c1_1(X89) ) )
    & ( hskp12
      | ! [X115] :
          ( ~ c3_1(X115)
          | c0_1(X115)
          | ~ c1_1(X115)
          | ~ ndr1_0 )
      | ! [X114] :
          ( c0_1(X114)
          | ~ ndr1_0
          | ~ c1_1(X114)
          | c3_1(X114) ) )
    & ( hskp10
      | ! [X120] :
          ( c1_1(X120)
          | ~ c2_1(X120)
          | ~ ndr1_0
          | ~ c3_1(X120) ) )
    & ( ! [X54] :
          ( ~ c1_1(X54)
          | ~ ndr1_0
          | c2_1(X54)
          | ~ c0_1(X54) )
      | ! [X53] :
          ( ~ c2_1(X53)
          | ~ ndr1_0
          | c1_1(X53)
          | c3_1(X53) )
      | ! [X55] :
          ( c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0
          | c3_1(X55) ) )
    & ( ~ hskp29
      | ( c0_1(a1978)
        & c1_1(a1978)
        & ndr1_0
        & c2_1(a1978) ) )
    & ( ! [X74] :
          ( ~ c3_1(X74)
          | c0_1(X74)
          | c2_1(X74)
          | ~ ndr1_0 )
      | hskp9
      | ! [X73] :
          ( c0_1(X73)
          | ~ ndr1_0
          | ~ c2_1(X73)
          | ~ c3_1(X73) ) )
    & ( hskp16
      | ! [X1] :
          ( c2_1(X1)
          | ~ ndr1_0
          | ~ c0_1(X1)
          | c3_1(X1) )
      | hskp15 )
    & ( ! [X4] :
          ( c0_1(X4)
          | ~ ndr1_0
          | ~ c3_1(X4)
          | ~ c1_1(X4) )
      | ! [X5] :
          ( ~ ndr1_0
          | ~ c2_1(X5)
          | ~ c1_1(X5)
          | c0_1(X5) )
      | hskp3 )
    & ( ~ hskp13
      | ( c2_1(a1991)
        & ndr1_0
        & ~ c3_1(a1991)
        & c0_1(a1991) ) )
    & ( ! [X121] :
          ( ~ c1_1(X121)
          | ~ c0_1(X121)
          | ~ c2_1(X121)
          | ~ ndr1_0 )
      | hskp8
      | hskp3 )
    & ( ! [X28] :
          ( ~ ndr1_0
          | ~ c3_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28) )
      | ! [X27] :
          ( c0_1(X27)
          | ~ ndr1_0
          | ~ c2_1(X27)
          | ~ c3_1(X27) )
      | hskp19 )
    & ( ( ~ c0_1(a1979)
        & ndr1_0
        & c3_1(a1979)
        & ~ c2_1(a1979) )
      | ~ hskp6 )
    & ( ~ hskp5
      | ( ~ c2_1(a1977)
        & c1_1(a1977)
        & ndr1_0
        & ~ c3_1(a1977) ) )
    & ( hskp10
      | ! [X98] :
          ( ~ c3_1(X98)
          | ~ ndr1_0
          | c1_1(X98)
          | c2_1(X98) )
      | hskp1 )
    & ( hskp14
      | ! [X92] :
          ( ~ ndr1_0
          | c0_1(X92)
          | ~ c2_1(X92)
          | c3_1(X92) )
      | ! [X93] :
          ( ~ c3_1(X93)
          | ~ ndr1_0
          | c1_1(X93)
          | ~ c0_1(X93) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a2001)
        & ~ c0_1(a2001)
        & c3_1(a2001) ) )
    & ( ( ~ c3_1(a1969)
        & ~ c2_1(a1969)
        & ndr1_0
        & ~ c1_1(a1969) )
      | ~ hskp0 )
    & ( hskp29
      | hskp6
      | ! [X96] :
          ( ~ ndr1_0
          | c1_1(X96)
          | ~ c3_1(X96)
          | c0_1(X96) ) )
    & ( ( ~ c0_1(a2041)
        & ~ c3_1(a2041)
        & ndr1_0
        & ~ c2_1(a2041) )
      | ~ hskp25 )
    & ( ~ hskp3
      | ( ~ c0_1(a1974)
        & ndr1_0
        & c2_1(a1974)
        & c1_1(a1974) ) )
    & ( ~ hskp26
      | ( c0_1(a2049)
        & ndr1_0
        & c3_1(a2049)
        & ~ c1_1(a2049) ) )
    & ( ! [X66] :
          ( ~ ndr1_0
          | c0_1(X66)
          | c1_1(X66)
          | ~ c2_1(X66) )
      | hskp3
      | ! [X65] :
          ( c2_1(X65)
          | ~ c1_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X58] :
          ( ~ c1_1(X58)
          | ~ ndr1_0
          | ~ c2_1(X58)
          | c0_1(X58) )
      | hskp10
      | ! [X59] :
          ( c3_1(X59)
          | ~ ndr1_0
          | ~ c1_1(X59)
          | ~ c0_1(X59) ) )
    & ( ! [X14] :
          ( ~ ndr1_0
          | c3_1(X14)
          | c0_1(X14)
          | c1_1(X14) )
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0
          | ~ c2_1(X15) )
      | hskp28 )
    & ( hskp15
      | hskp19
      | hskp16 )
    & ( ! [X52] :
          ( ~ c1_1(X52)
          | c2_1(X52)
          | ~ c0_1(X52)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | c0_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( ~ c0_1(X24)
          | ~ c1_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c1_1(X23)
          | c0_1(X23)
          | ~ c3_1(X23) )
      | hskp16 )
    & ( hskp21
      | hskp1
      | hskp28 )
    & ( hskp5
      | hskp23
      | hskp8 )
    & ( ( c3_1(a1996)
        & ndr1_0
        & c0_1(a1996)
        & ~ c2_1(a1996) )
      | ~ hskp16 )
    & ( ! [X80] :
          ( c0_1(X80)
          | c1_1(X80)
          | c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c1_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0
          | ~ c0_1(X81) )
      | ! [X82] :
          ( c2_1(X82)
          | ~ ndr1_0
          | ~ c3_1(X82)
          | c1_1(X82) ) )
    & ( ! [X40] :
          ( ~ c1_1(X40)
          | c3_1(X40)
          | ~ ndr1_0
          | c0_1(X40) )
      | ! [X38] :
          ( c2_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0
          | ~ c0_1(X38) )
      | ! [X39] :
          ( ~ c0_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0
          | ~ c2_1(X39) ) )
    & ( ! [X29] :
          ( ~ ndr1_0
          | c0_1(X29)
          | c1_1(X29)
          | ~ c2_1(X29) )
      | hskp4
      | hskp27 )
    & ( ! [X100] :
          ( c2_1(X100)
          | ~ c0_1(X100)
          | ~ ndr1_0
          | ~ c1_1(X100) )
      | ! [X101] :
          ( c1_1(X101)
          | ~ c0_1(X101)
          | ~ ndr1_0
          | c2_1(X101) )
      | ! [X99] :
          ( c0_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0
          | c2_1(X99) ) )
    & ( ~ hskp4
      | ( ~ c1_1(a1975)
        & ndr1_0
        & c0_1(a1975)
        & ~ c2_1(a1975) ) )
    & ( ! [X3] :
          ( ~ ndr1_0
          | ~ c2_1(X3)
          | c3_1(X3)
          | c0_1(X3) )
      | hskp13
      | ! [X2] :
          ( ~ c1_1(X2)
          | ~ c3_1(X2)
          | c0_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X67] :
          ( c2_1(X67)
          | c0_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ ndr1_0
          | c2_1(X69)
          | ~ c1_1(X69)
          | c3_1(X69) )
      | ! [X68] :
          ( c2_1(X68)
          | c1_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a1983)
        & ~ c0_1(a1983)
        & ndr1_0
        & ~ c1_1(a1983) )
      | ~ hskp8 )
    & ( ~ hskp9
      | ( c1_1(a1985)
        & ~ c3_1(a1985)
        & ndr1_0
        & ~ c0_1(a1985) ) )
    & ( hskp25
      | hskp26
      | ! [X109] :
          ( ~ c1_1(X109)
          | ~ c0_1(X109)
          | ~ c3_1(X109)
          | ~ ndr1_0 ) )
    & ( ( ~ c3_1(a2009)
        & ndr1_0
        & ~ c1_1(a2009)
        & c2_1(a2009) )
      | ~ hskp21 )
    & ( hskp4
      | ! [X117] :
          ( ~ c3_1(X117)
          | c0_1(X117)
          | ~ ndr1_0
          | ~ c1_1(X117) )
      | hskp18 )
    & ( ! [X94] :
          ( c3_1(X94)
          | ~ ndr1_0
          | ~ c1_1(X94)
          | ~ c2_1(X94) )
      | hskp14
      | hskp10 )
    & ( ! [X61] :
          ( c1_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0
          | c2_1(X62) )
      | ! [X63] :
          ( ~ c1_1(X63)
          | ~ c0_1(X63)
          | ~ c2_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X97] :
          ( ~ c3_1(X97)
          | c2_1(X97)
          | c1_1(X97)
          | ~ ndr1_0 )
      | hskp2
      | hskp22 )
    & ( ~ hskp24
      | ( ~ c1_1(a2031)
        & ~ c2_1(a2031)
        & ~ c0_1(a2031)
        & ndr1_0 ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c0_1(a1992)
        & ~ c2_1(a1992)
        & c1_1(a1992) ) )
    & ( ! [X44] :
          ( c0_1(X44)
          | c3_1(X44)
          | ~ ndr1_0
          | c1_1(X44) )
      | ! [X42] :
          ( c3_1(X42)
          | c0_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c3_1(X43)
          | ~ ndr1_0
          | ~ c2_1(X43)
          | ~ c1_1(X43) ) )
    & ( hskp8
      | hskp28
      | ! [X56] :
          ( c2_1(X56)
          | c0_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( ~ ndr1_0
          | c1_1(X77)
          | c3_1(X77)
          | ~ c2_1(X77) )
      | ! [X78] :
          ( c2_1(X78)
          | ~ c1_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c2_1(X79)
          | ~ c3_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( ~ hskp12
      | ( ~ c2_1(a1990)
        & ndr1_0
        & ~ c1_1(a1990)
        & c3_1(a1990) ) )
    & ( ! [X85] :
          ( ~ c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c1_1(X86)
          | ~ c3_1(X86)
          | c2_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c0_1(X87)
          | ~ c1_1(X87)
          | ~ ndr1_0
          | c3_1(X87) ) )
    & ( ( c2_1(a1987)
        & ~ c1_1(a1987)
        & ndr1_0
        & c3_1(a1987) )
      | ~ hskp10 )
    & ( hskp8
      | ! [X35] :
          ( c1_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0
          | ~ c0_1(X35) )
      | ! [X34] :
          ( c2_1(X34)
          | ~ ndr1_0
          | ~ c3_1(X34)
          | c0_1(X34) ) )
    & ( hskp10
      | ! [X72] :
          ( c1_1(X72)
          | ~ c0_1(X72)
          | c2_1(X72)
          | ~ ndr1_0 )
      | hskp4 )
    & ( hskp4
      | hskp11
      | ! [X25] :
          ( ~ c2_1(X25)
          | ~ c3_1(X25)
          | ~ c1_1(X25)
          | ~ ndr1_0 ) )
    & ( ! [X111] :
          ( c2_1(X111)
          | c1_1(X111)
          | ~ ndr1_0
          | ~ c3_1(X111) )
      | hskp21
      | ! [X110] :
          ( ~ c1_1(X110)
          | c3_1(X110)
          | c2_1(X110)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c0_1(X71)
          | c2_1(X71)
          | ~ c1_1(X71) )
      | hskp22 )
    & ( hskp5
      | hskp30
      | ! [X70] :
          ( ~ c0_1(X70)
          | c2_1(X70)
          | c1_1(X70)
          | ~ ndr1_0 ) )
    & ( ! [X0] :
          ( c1_1(X0)
          | ~ ndr1_0
          | c3_1(X0)
          | ~ c2_1(X0) )
      | hskp3
      | hskp17 )
    & ( ( ndr1_0
        & c1_1(a1998)
        & ~ c0_1(a1998)
        & c3_1(a1998) )
      | ~ hskp17 )
    & ( ! [X47] :
          ( ~ c3_1(X47)
          | ~ c0_1(X47)
          | ~ ndr1_0
          | c1_1(X47) )
      | hskp6
      | hskp18 )
    & ( ! [X33] :
          ( c0_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0
          | ~ c3_1(X33) )
      | hskp13
      | hskp17 )
    & ( hskp17
      | hskp4
      | ! [X64] :
          ( ~ c0_1(X64)
          | ~ c2_1(X64)
          | ~ ndr1_0
          | c3_1(X64) ) )
    & ( ! [X10] :
          ( ~ c3_1(X10)
          | ~ ndr1_0
          | c0_1(X10)
          | ~ c2_1(X10) )
      | hskp13
      | hskp20 )
    & ( ! [X90] :
          ( c2_1(X90)
          | c3_1(X90)
          | ~ c1_1(X90)
          | ~ ndr1_0 )
      | hskp15
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c2_1(X91)
          | c0_1(X91)
          | c3_1(X91) ) )
    & ( ! [X21] :
          ( ~ ndr1_0
          | c0_1(X21)
          | c2_1(X21)
          | c3_1(X21) )
      | hskp1
      | ! [X22] :
          ( c2_1(X22)
          | ~ c0_1(X22)
          | ~ ndr1_0
          | ~ c3_1(X22) ) ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( ~ hskp13
      | ( c2_1(a1991)
        & ndr1_0
        & ~ c3_1(a1991)
        & c0_1(a1991) ) )
    & ( hskp10
      | ! [X98] :
          ( ~ c3_1(X98)
          | c1_1(X98)
          | c2_1(X98)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X84] :
          ( c2_1(X84)
          | ~ c1_1(X84)
          | ~ c0_1(X84)
          | ~ ndr1_0 )
      | hskp1
      | ! [X83] :
          ( c1_1(X83)
          | c0_1(X83)
          | c3_1(X83)
          | ~ ndr1_0 ) )
    & ( ~ hskp26
      | ( c0_1(a2049)
        & ndr1_0
        & c3_1(a2049)
        & ~ c1_1(a2049) ) )
    & ( ! [X87] :
          ( ~ c1_1(X87)
          | c0_1(X87)
          | c3_1(X87)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c2_1(X86)
          | ~ c3_1(X86)
          | ~ c1_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X28] :
          ( ~ c0_1(X28)
          | c1_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c3_1(X27)
          | c0_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X107] :
          ( ~ c3_1(X107)
          | c0_1(X107)
          | c2_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c2_1(X108)
          | ~ c1_1(X108)
          | ~ c0_1(X108)
          | ~ ndr1_0 ) )
    & ( ! [X4] :
          ( ~ c3_1(X4)
          | c0_1(X4)
          | ~ c1_1(X4)
          | ~ ndr1_0 )
      | hskp3
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c2_1(X5)
          | c0_1(X5)
          | ~ ndr1_0 ) )
    & ( ~ hskp5
      | ( ~ c2_1(a1977)
        & c1_1(a1977)
        & ndr1_0
        & ~ c3_1(a1977) ) )
    & ( ( ~ c3_1(a2009)
        & ndr1_0
        & ~ c1_1(a2009)
        & c2_1(a2009) )
      | ~ hskp21 )
    & ( ! [X40] :
          ( c3_1(X40)
          | c0_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c2_1(X38)
          | ~ c0_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c2_1(X39)
          | ~ c0_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( ~ c1_1(X24)
          | ~ c3_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c0_1(X23)
          | ~ c1_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a2001)
        & ~ c0_1(a2001)
        & c3_1(a2001) ) )
    & ( ( ~ c0_1(a2041)
        & ~ c3_1(a2041)
        & ndr1_0
        & ~ c2_1(a2041) )
      | ~ hskp25 )
    & ( ( c2_1(a2005)
        & c0_1(a2005)
        & ndr1_0
        & c3_1(a2005) )
      | ~ hskp30 )
    & ( ! [X102] :
          ( c2_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c0_1(X103)
          | c2_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | hskp0 )
    & ( hskp12
      | ! [X115] :
          ( ~ c3_1(X115)
          | c0_1(X115)
          | ~ c1_1(X115)
          | ~ ndr1_0 )
      | ! [X114] :
          ( ~ c1_1(X114)
          | c3_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( ! [X76] :
          ( ~ c1_1(X76)
          | ~ c0_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp20
      | ! [X75] :
          ( ~ c3_1(X75)
          | c2_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 ) )
    & ( ! [X7] :
          ( ~ c1_1(X7)
          | c2_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c1_1(X8)
          | c3_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c2_1(X6)
          | ~ c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( ( ~ c3_1(a1969)
        & ~ c2_1(a1969)
        & ndr1_0
        & ~ c1_1(a1969) )
      | ~ hskp0 )
    & ( ! [X55] :
          ( c2_1(X55)
          | c1_1(X55)
          | c3_1(X55)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c3_1(X53)
          | c1_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c0_1(X54)
          | c2_1(X54)
          | ~ c1_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp10
      | ! [X94] :
          ( c3_1(X94)
          | ~ c1_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 ) )
    & ( ~ hskp9
      | ( c1_1(a1985)
        & ~ c3_1(a1985)
        & ndr1_0
        & ~ c0_1(a1985) ) )
    & ( hskp4
      | hskp10
      | ! [X72] :
          ( ~ c0_1(X72)
          | c2_1(X72)
          | c1_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp6
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( ! [X71] :
          ( ~ c1_1(X71)
          | ~ c0_1(X71)
          | c2_1(X71)
          | ~ ndr1_0 )
      | hskp1
      | hskp22 )
    & ( ! [X57] :
          ( ~ c1_1(X57)
          | ~ c0_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | hskp1
      | hskp4 )
    & ( hskp6
      | hskp18
      | ! [X47] :
          ( ~ c0_1(X47)
          | c1_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 ) )
    & ( ~ hskp3
      | ( ~ c0_1(a1974)
        & ndr1_0
        & c2_1(a1974)
        & c1_1(a1974) ) )
    & ( ! [X33] :
          ( ~ c1_1(X33)
          | ~ c3_1(X33)
          | c0_1(X33)
          | ~ ndr1_0 )
      | hskp17
      | hskp13 )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c1_1(a2000)
        & ~ c0_1(a2000)
        & ~ c3_1(a2000) ) )
    & ( hskp8
      | ! [X34] :
          ( c0_1(X34)
          | ~ c3_1(X34)
          | c2_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c0_1(X35)
          | c1_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X117] :
          ( ~ c1_1(X117)
          | ~ c3_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 )
      | hskp4
      | hskp18 )
    & ( ( ~ c0_1(a1979)
        & ndr1_0
        & c3_1(a1979)
        & ~ c2_1(a1979) )
      | ~ hskp6 )
    & ( ! [X88] :
          ( ~ c2_1(X88)
          | ~ c3_1(X88)
          | ~ c1_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c2_1(X89)
          | ~ c3_1(X89)
          | c1_1(X89)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ( c3_1(a1972)
        & c0_1(a1972)
        & c1_1(a1972)
        & ndr1_0 )
      | ~ hskp28 )
    & ( hskp30
      | hskp5
      | ! [X70] :
          ( c1_1(X70)
          | ~ c0_1(X70)
          | c2_1(X70)
          | ~ ndr1_0 ) )
    & ( ~ hskp22
      | ( c0_1(a2012)
        & ~ c3_1(a2012)
        & ndr1_0
        & ~ c2_1(a2012) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c0_1(a1992)
        & ~ c2_1(a1992)
        & c1_1(a1992) ) )
    & ( ( c2_1(a1987)
        & ~ c1_1(a1987)
        & ndr1_0
        & c3_1(a1987) )
      | ~ hskp10 )
    & ( ! [X25] :
          ( ~ c1_1(X25)
          | ~ c3_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 )
      | hskp11
      | hskp4 )
    & ( ~ hskp24
      | ( ~ c1_1(a2031)
        & ~ c2_1(a2031)
        & ~ c0_1(a2031)
        & ndr1_0 ) )
    & ( ! [X29] :
          ( c0_1(X29)
          | ~ c2_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 )
      | hskp27
      | hskp4 )
    & ( hskp20
      | hskp13
      | ! [X10] :
          ( ~ c2_1(X10)
          | c0_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a1996)
        & ndr1_0
        & c0_1(a1996)
        & ~ c2_1(a1996) )
      | ~ hskp16 )
    & ( hskp29
      | ! [X37] :
          ( ~ c1_1(X37)
          | ~ c3_1(X37)
          | c0_1(X37)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c3_1(X36)
          | c0_1(X36)
          | c2_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( c1_1(X44)
          | c3_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c3_1(X43)
          | ~ c2_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c0_1(X42)
          | c3_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 ) )
    & ( ! [X63] :
          ( ~ c1_1(X63)
          | ~ c2_1(X63)
          | ~ c0_1(X63)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c0_1(X62)
          | ~ c3_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c3_1(X61)
          | c0_1(X61)
          | c1_1(X61)
          | ~ ndr1_0 ) )
    & ( ~ hskp29
      | ( c0_1(a1978)
        & c1_1(a1978)
        & ndr1_0
        & c2_1(a1978) ) )
    & ( ! [X65] :
          ( c2_1(X65)
          | ~ c1_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c1_1(X66)
          | c0_1(X66)
          | ~ c2_1(X66)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c2_1(X52)
          | ~ c1_1(X52)
          | ~ c0_1(X52)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a1970)
        & c2_1(a1970)
        & c1_1(a1970)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ! [X109] :
          ( ~ c3_1(X109)
          | ~ c1_1(X109)
          | ~ c0_1(X109)
          | ~ ndr1_0 )
      | hskp25
      | hskp26 )
    & ( ! [X16] :
          ( c0_1(X16)
          | ~ c3_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c0_1(X17)
          | ~ c2_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ( c1_1(a2003)
        & ndr1_0
        & ~ c3_1(a2003)
        & c2_1(a2003) )
      | ~ hskp20 )
    & ( ! [X119] :
          ( c2_1(X119)
          | ~ c1_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 )
      | ! [X118] :
          ( ~ c2_1(X118)
          | ~ c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X105] :
          ( ~ c1_1(X105)
          | ~ c0_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c2_1(X106)
          | ~ c0_1(X106)
          | c3_1(X106)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X79] :
          ( c0_1(X79)
          | c2_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c1_1(X77)
          | c3_1(X77)
          | ~ c2_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c2_1(X78)
          | ~ c0_1(X78)
          | ~ c1_1(X78)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( c3_1(X91)
          | c0_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c3_1(X90)
          | c2_1(X90)
          | ~ c1_1(X90)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ( c3_1(a1983)
        & ~ c0_1(a1983)
        & ndr1_0
        & ~ c1_1(a1983) )
      | ~ hskp8 )
    & ( ( ndr1_0
        & ~ c0_1(a1989)
        & ~ c3_1(a1989)
        & c2_1(a1989) )
      | ~ hskp11 )
    & ( hskp30
      | hskp15
      | ! [X104] :
          ( ~ c3_1(X104)
          | c1_1(X104)
          | ~ c0_1(X104)
          | ~ ndr1_0 ) )
    & ( ~ hskp4
      | ( ~ c1_1(a1975)
        & ndr1_0
        & c0_1(a1975)
        & ~ c2_1(a1975) ) )
    & ( ! [X113] :
          ( c2_1(X113)
          | c1_1(X113)
          | c3_1(X113)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c0_1(X112)
          | c1_1(X112)
          | ~ c2_1(X112)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X92] :
          ( c0_1(X92)
          | c3_1(X92)
          | ~ c2_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c1_1(X93)
          | ~ c3_1(X93)
          | ~ c0_1(X93)
          | ~ ndr1_0 )
      | hskp14 )
    & ( hskp21
      | hskp18
      | hskp16 )
    & ( hskp8
      | hskp28
      | ! [X56] :
          ( c0_1(X56)
          | c2_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp0
      | ! [X95] :
          ( ~ c0_1(X95)
          | ~ c2_1(X95)
          | c3_1(X95)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( c2_1(X46)
          | c0_1(X46)
          | c3_1(X46)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c0_1(X45)
          | c3_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | hskp27 )
    & ( hskp24
      | hskp16
      | ! [X26] :
          ( ~ c1_1(X26)
          | c2_1(X26)
          | ~ c0_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp23
      | hskp8 )
    & ( hskp9
      | hskp11
      | ! [X50] :
          ( ~ c3_1(X50)
          | c2_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( ! [X101] :
          ( c1_1(X101)
          | c2_1(X101)
          | ~ c0_1(X101)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c1_1(X100)
          | ~ c0_1(X100)
          | c2_1(X100)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c3_1(X99)
          | c0_1(X99)
          | c2_1(X99)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c3_1(X3)
          | c0_1(X3)
          | ~ c2_1(X3)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c3_1(X2)
          | c0_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X12] :
          ( ~ c3_1(X12)
          | ~ c2_1(X12)
          | c1_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c3_1(X13)
          | c2_1(X13)
          | ~ c1_1(X13)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c0_1(X11)
          | c1_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( ! [X15] :
          ( ~ c3_1(X15)
          | ~ c2_1(X15)
          | ~ c1_1(X15)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c1_1(X14)
          | c3_1(X14)
          | c0_1(X14)
          | ~ ndr1_0 )
      | hskp28 )
    & ( hskp4
      | hskp17
      | ! [X64] :
          ( c3_1(X64)
          | ~ c0_1(X64)
          | ~ c2_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X116] :
          ( ~ c0_1(X116)
          | ~ c2_1(X116)
          | ~ c1_1(X116)
          | ~ ndr1_0 ) )
    & ( ! [X68] :
          ( c2_1(X68)
          | ~ c3_1(X68)
          | c1_1(X68)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c3_1(X67)
          | c2_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c2_1(X69)
          | c3_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( c2_1(X30)
          | c1_1(X30)
          | ~ c0_1(X30)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c2_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c3_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a1973)
        & c3_1(a1973)
        & ~ c2_1(a1973)
        & ndr1_0 )
      | ~ hskp2 )
    & ( hskp21
      | hskp1
      | hskp28 )
    & ( ! [X49] :
          ( c0_1(X49)
          | c2_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c1_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 ) )
    & ( ~ hskp7
      | ( c1_1(a1981)
        & ndr1_0
        & ~ c3_1(a1981)
        & c0_1(a1981) ) )
    & ( ! [X20] :
          ( c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 )
      | hskp23
      | hskp6 )
    & ( ~ hskp12
      | ( ~ c2_1(a1990)
        & ndr1_0
        & ~ c1_1(a1990)
        & c3_1(a1990) ) )
    & ( hskp22
      | hskp2
      | ! [X97] :
          ( ~ c3_1(X97)
          | c2_1(X97)
          | c1_1(X97)
          | ~ ndr1_0 ) )
    & ( ! [X120] :
          ( ~ c3_1(X120)
          | c1_1(X120)
          | ~ c2_1(X120)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X111] :
          ( ~ c3_1(X111)
          | c2_1(X111)
          | c1_1(X111)
          | ~ ndr1_0 )
      | hskp21
      | ! [X110] :
          ( c2_1(X110)
          | ~ c1_1(X110)
          | c3_1(X110)
          | ~ ndr1_0 ) )
    & ( ! [X21] :
          ( c0_1(X21)
          | c2_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ( ~ c1_1(a1971)
        & c2_1(a1971)
        & c0_1(a1971)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ~ hskp15
      | ( ~ c1_1(a1993)
        & ~ c0_1(a1993)
        & ndr1_0
        & c2_1(a1993) ) )
    & ( ! [X80] :
          ( c3_1(X80)
          | c1_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c0_1(X81)
          | ~ c2_1(X81)
          | c1_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c2_1(X82)
          | c1_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp8
      | ! [X121] :
          ( ~ c1_1(X121)
          | ~ c2_1(X121)
          | ~ c0_1(X121)
          | ~ ndr1_0 ) )
    & ( ! [X1] :
          ( c2_1(X1)
          | c3_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 )
      | hskp16
      | hskp15 )
    & ( ( ~ c2_1(a2014)
        & c1_1(a2014)
        & ndr1_0
        & c0_1(a2014) )
      | ~ hskp23 )
    & ( ( ndr1_0
        & c1_1(a1998)
        & ~ c0_1(a1998)
        & c3_1(a1998) )
      | ~ hskp17 )
    & ( hskp15
      | hskp19
      | hskp16 )
    & ( hskp3
      | hskp17
      | ! [X0] :
          ( ~ c2_1(X0)
          | c1_1(X0)
          | c3_1(X0)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( ~ c0_1(X59)
          | ~ c1_1(X59)
          | c3_1(X59)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | c0_1(X58)
          | ~ c1_1(X58)
          | ~ ndr1_0 )
      | hskp10 )
    & ( hskp27
      | hskp6
      | hskp30 )
    & ( ! [X18] :
          ( c2_1(X18)
          | ~ c1_1(X18)
          | ~ c0_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c3_1(X19)
          | c1_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 )
      | hskp12 )
    & ( hskp10
      | ! [X9] :
          ( ~ c2_1(X9)
          | c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 )
      | hskp11 )
    & ( hskp24
      | ! [X60] :
          ( c3_1(X60)
          | ~ c0_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X73] :
          ( c0_1(X73)
          | ~ c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c0_1(X74)
          | ~ c3_1(X74)
          | c2_1(X74)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X41] :
          ( c2_1(X41)
          | ~ c1_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | hskp12
      | hskp11 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( ~ hskp13
      | ( c2_1(a1991)
        & ndr1_0
        & ~ c3_1(a1991)
        & c0_1(a1991) ) )
    & ( hskp10
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | c1_1(X98)
            | c2_1(X98) ) )
      | hskp1 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c2_1(X84)
            | ~ c1_1(X84)
            | ~ c0_1(X84) ) )
      | hskp1
      | ! [X83] :
          ( ndr1_0
         => ( c1_1(X83)
            | c0_1(X83)
            | c3_1(X83) ) ) )
    & ( ~ hskp26
      | ( c0_1(a2049)
        & ndr1_0
        & c3_1(a2049)
        & ~ c1_1(a2049) ) )
    & ( ! [X87] :
          ( ndr1_0
         => ( ~ c1_1(X87)
            | c0_1(X87)
            | c3_1(X87) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | c2_1(X85)
            | c0_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c2_1(X86)
            | ~ c3_1(X86)
            | ~ c1_1(X86) ) ) )
    & ( hskp19
      | ! [X28] :
          ( ndr1_0
         => ( ~ c0_1(X28)
            | c1_1(X28)
            | ~ c3_1(X28) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | c0_1(X27)
            | ~ c2_1(X27) ) ) )
    & ( hskp10
      | ! [X107] :
          ( ndr1_0
         => ( ~ c3_1(X107)
            | c0_1(X107)
            | c2_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( c2_1(X108)
            | ~ c1_1(X108)
            | ~ c0_1(X108) ) ) )
    & ( ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | c0_1(X4)
            | ~ c1_1(X4) ) )
      | hskp3
      | ! [X5] :
          ( ndr1_0
         => ( ~ c1_1(X5)
            | ~ c2_1(X5)
            | c0_1(X5) ) ) )
    & ( ~ hskp5
      | ( ~ c2_1(a1977)
        & c1_1(a1977)
        & ndr1_0
        & ~ c3_1(a1977) ) )
    & ( ( ~ c3_1(a2009)
        & ndr1_0
        & ~ c1_1(a2009)
        & c2_1(a2009) )
      | ~ hskp21 )
    & ( ! [X40] :
          ( ndr1_0
         => ( c3_1(X40)
            | c0_1(X40)
            | ~ c1_1(X40) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c2_1(X38)
            | ~ c0_1(X38)
            | ~ c1_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c2_1(X39)
            | ~ c0_1(X39)
            | ~ c1_1(X39) ) ) )
    & ( ! [X24] :
          ( ndr1_0
         => ( ~ c1_1(X24)
            | ~ c3_1(X24)
            | ~ c0_1(X24) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | ~ c1_1(X23)
            | ~ c3_1(X23) ) )
      | hskp16 )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a2001)
        & ~ c0_1(a2001)
        & c3_1(a2001) ) )
    & ( ( ~ c0_1(a2041)
        & ~ c3_1(a2041)
        & ndr1_0
        & ~ c2_1(a2041) )
      | ~ hskp25 )
    & ( ( c2_1(a2005)
        & c0_1(a2005)
        & ndr1_0
        & c3_1(a2005) )
      | ~ hskp30 )
    & ( ! [X102] :
          ( ndr1_0
         => ( c2_1(X102)
            | c1_1(X102)
            | c0_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c0_1(X103)
            | c2_1(X103)
            | c1_1(X103) ) )
      | hskp0 )
    & ( hskp12
      | ! [X115] :
          ( ndr1_0
         => ( ~ c3_1(X115)
            | c0_1(X115)
            | ~ c1_1(X115) ) )
      | ! [X114] :
          ( ndr1_0
         => ( ~ c1_1(X114)
            | c3_1(X114)
            | c0_1(X114) ) ) )
    & ( ! [X76] :
          ( ndr1_0
         => ( ~ c1_1(X76)
            | ~ c0_1(X76)
            | ~ c3_1(X76) ) )
      | hskp20
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | c2_1(X75)
            | ~ c1_1(X75) ) ) )
    & ( ! [X7] :
          ( ndr1_0
         => ( ~ c1_1(X7)
            | c2_1(X7)
            | ~ c3_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c1_1(X8)
            | c3_1(X8)
            | ~ c0_1(X8) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c2_1(X6)
            | ~ c1_1(X6)
            | c3_1(X6) ) ) )
    & ( ( ~ c3_1(a1969)
        & ~ c2_1(a1969)
        & ndr1_0
        & ~ c1_1(a1969) )
      | ~ hskp0 )
    & ( ! [X55] :
          ( ndr1_0
         => ( c2_1(X55)
            | c1_1(X55)
            | c3_1(X55) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c3_1(X53)
            | c1_1(X53)
            | ~ c2_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c0_1(X54)
            | c2_1(X54)
            | ~ c1_1(X54) ) ) )
    & ( hskp14
      | hskp10
      | ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | ~ c1_1(X94)
            | ~ c2_1(X94) ) ) )
    & ( ~ hskp9
      | ( c1_1(a1985)
        & ~ c3_1(a1985)
        & ndr1_0
        & ~ c0_1(a1985) ) )
    & ( hskp4
      | hskp10
      | ! [X72] :
          ( ndr1_0
         => ( ~ c0_1(X72)
            | c2_1(X72)
            | c1_1(X72) ) ) )
    & ( hskp29
      | hskp6
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | c1_1(X96)
            | c0_1(X96) ) ) )
    & ( ! [X71] :
          ( ndr1_0
         => ( ~ c1_1(X71)
            | ~ c0_1(X71)
            | c2_1(X71) ) )
      | hskp1
      | hskp22 )
    & ( ! [X57] :
          ( ndr1_0
         => ( ~ c1_1(X57)
            | ~ c0_1(X57)
            | ~ c2_1(X57) ) )
      | hskp1
      | hskp4 )
    & ( hskp6
      | hskp18
      | ! [X47] :
          ( ndr1_0
         => ( ~ c0_1(X47)
            | c1_1(X47)
            | ~ c3_1(X47) ) ) )
    & ( ~ hskp3
      | ( ~ c0_1(a1974)
        & ndr1_0
        & c2_1(a1974)
        & c1_1(a1974) ) )
    & ( ! [X33] :
          ( ndr1_0
         => ( ~ c1_1(X33)
            | ~ c3_1(X33)
            | c0_1(X33) ) )
      | hskp17
      | hskp13 )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c1_1(a2000)
        & ~ c0_1(a2000)
        & ~ c3_1(a2000) ) )
    & ( hskp8
      | ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | ~ c3_1(X34)
            | c2_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c0_1(X35)
            | c1_1(X35)
            | ~ c2_1(X35) ) ) )
    & ( ! [X117] :
          ( ndr1_0
         => ( ~ c1_1(X117)
            | ~ c3_1(X117)
            | c0_1(X117) ) )
      | hskp4
      | hskp18 )
    & ( ( ~ c0_1(a1979)
        & ndr1_0
        & c3_1(a1979)
        & ~ c2_1(a1979) )
      | ~ hskp6 )
    & ( ! [X88] :
          ( ndr1_0
         => ( ~ c2_1(X88)
            | ~ c3_1(X88)
            | ~ c1_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c2_1(X89)
            | ~ c3_1(X89)
            | c1_1(X89) ) )
      | hskp27 )
    & ( ( c3_1(a1972)
        & c0_1(a1972)
        & c1_1(a1972)
        & ndr1_0 )
      | ~ hskp28 )
    & ( hskp30
      | hskp5
      | ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | ~ c0_1(X70)
            | c2_1(X70) ) ) )
    & ( ~ hskp22
      | ( c0_1(a2012)
        & ~ c3_1(a2012)
        & ndr1_0
        & ~ c2_1(a2012) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c0_1(a1992)
        & ~ c2_1(a1992)
        & c1_1(a1992) ) )
    & ( ( c2_1(a1987)
        & ~ c1_1(a1987)
        & ndr1_0
        & c3_1(a1987) )
      | ~ hskp10 )
    & ( ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | ~ c3_1(X25)
            | ~ c2_1(X25) ) )
      | hskp11
      | hskp4 )
    & ( ~ hskp24
      | ( ~ c1_1(a2031)
        & ~ c2_1(a2031)
        & ~ c0_1(a2031)
        & ndr1_0 ) )
    & ( ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | ~ c2_1(X29)
            | c1_1(X29) ) )
      | hskp27
      | hskp4 )
    & ( hskp20
      | hskp13
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | c0_1(X10)
            | ~ c3_1(X10) ) ) )
    & ( ( c3_1(a1996)
        & ndr1_0
        & c0_1(a1996)
        & ~ c2_1(a1996) )
      | ~ hskp16 )
    & ( hskp29
      | ! [X37] :
          ( ndr1_0
         => ( ~ c1_1(X37)
            | ~ c3_1(X37)
            | c0_1(X37) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | c0_1(X36)
            | c2_1(X36) ) ) )
    & ( ! [X44] :
          ( ndr1_0
         => ( c1_1(X44)
            | c3_1(X44)
            | c0_1(X44) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c3_1(X43)
            | ~ c2_1(X43)
            | ~ c1_1(X43) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | c3_1(X42)
            | ~ c2_1(X42) ) ) )
    & ( ! [X63] :
          ( ndr1_0
         => ( ~ c1_1(X63)
            | ~ c2_1(X63)
            | ~ c0_1(X63) ) )
      | ! [X62] :
          ( ndr1_0
         => ( c0_1(X62)
            | ~ c3_1(X62)
            | c2_1(X62) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c3_1(X61)
            | c0_1(X61)
            | c1_1(X61) ) ) )
    & ( ~ hskp29
      | ( c0_1(a1978)
        & c1_1(a1978)
        & ndr1_0
        & c2_1(a1978) ) )
    & ( ! [X65] :
          ( ndr1_0
         => ( c2_1(X65)
            | ~ c1_1(X65)
            | ~ c0_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | c0_1(X66)
            | ~ c2_1(X66) ) )
      | hskp3 )
    & ( ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c2_1(X51)
            | c0_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c2_1(X52)
            | ~ c1_1(X52)
            | ~ c0_1(X52) ) ) )
    & ( ( c3_1(a1970)
        & c2_1(a1970)
        & c1_1(a1970)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ! [X109] :
          ( ndr1_0
         => ( ~ c3_1(X109)
            | ~ c1_1(X109)
            | ~ c0_1(X109) ) )
      | hskp25
      | hskp26 )
    & ( ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | ~ c3_1(X16)
            | c1_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c0_1(X17)
            | ~ c2_1(X17)
            | c3_1(X17) ) )
      | hskp5 )
    & ( ( c1_1(a2003)
        & ndr1_0
        & ~ c3_1(a2003)
        & c2_1(a2003) )
      | ~ hskp20 )
    & ( ! [X119] :
          ( ndr1_0
         => ( c2_1(X119)
            | ~ c1_1(X119)
            | c0_1(X119) ) )
      | ! [X118] :
          ( ndr1_0
         => ( ~ c2_1(X118)
            | ~ c1_1(X118)
            | c0_1(X118) ) )
      | hskp7 )
    & ( ! [X105] :
          ( ndr1_0
         => ( ~ c1_1(X105)
            | ~ c0_1(X105)
            | ~ c3_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c2_1(X106)
            | ~ c0_1(X106)
            | c3_1(X106) ) )
      | hskp10 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c0_1(X79)
            | c2_1(X79)
            | ~ c3_1(X79) ) )
      | ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | c3_1(X77)
            | ~ c2_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( c2_1(X78)
            | ~ c0_1(X78)
            | ~ c1_1(X78) ) ) )
    & ( ! [X91] :
          ( ndr1_0
         => ( c3_1(X91)
            | c0_1(X91)
            | ~ c2_1(X91) ) )
      | ! [X90] :
          ( ndr1_0
         => ( c3_1(X90)
            | c2_1(X90)
            | ~ c1_1(X90) ) )
      | hskp15 )
    & ( ( c3_1(a1983)
        & ~ c0_1(a1983)
        & ndr1_0
        & ~ c1_1(a1983) )
      | ~ hskp8 )
    & ( ( ndr1_0
        & ~ c0_1(a1989)
        & ~ c3_1(a1989)
        & c2_1(a1989) )
      | ~ hskp11 )
    & ( hskp30
      | hskp15
      | ! [X104] :
          ( ndr1_0
         => ( ~ c3_1(X104)
            | c1_1(X104)
            | ~ c0_1(X104) ) ) )
    & ( ~ hskp4
      | ( ~ c1_1(a1975)
        & ndr1_0
        & c0_1(a1975)
        & ~ c2_1(a1975) ) )
    & ( ! [X113] :
          ( ndr1_0
         => ( c2_1(X113)
            | c1_1(X113)
            | c3_1(X113) ) )
      | ! [X112] :
          ( ndr1_0
         => ( c0_1(X112)
            | c1_1(X112)
            | ~ c2_1(X112) ) )
      | hskp2 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c0_1(X92)
            | c3_1(X92)
            | ~ c2_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( c1_1(X93)
            | ~ c3_1(X93)
            | ~ c0_1(X93) ) )
      | hskp14 )
    & ( hskp21
      | hskp18
      | hskp16 )
    & ( hskp8
      | hskp28
      | ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | c2_1(X56)
            | ~ c1_1(X56) ) ) )
    & ( hskp12
      | hskp0
      | ! [X95] :
          ( ndr1_0
         => ( ~ c0_1(X95)
            | ~ c2_1(X95)
            | c3_1(X95) ) ) )
    & ( ! [X46] :
          ( ndr1_0
         => ( c2_1(X46)
            | c0_1(X46)
            | c3_1(X46) ) )
      | ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | c3_1(X45)
            | c1_1(X45) ) )
      | hskp27 )
    & ( hskp24
      | hskp16
      | ! [X26] :
          ( ndr1_0
         => ( ~ c1_1(X26)
            | c2_1(X26)
            | ~ c0_1(X26) ) ) )
    & ( hskp5
      | hskp23
      | hskp8 )
    & ( hskp9
      | hskp11
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | c2_1(X50)
            | c0_1(X50) ) ) )
    & ( ! [X101] :
          ( ndr1_0
         => ( c1_1(X101)
            | c2_1(X101)
            | ~ c0_1(X101) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c1_1(X100)
            | ~ c0_1(X100)
            | c2_1(X100) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | c0_1(X99)
            | c2_1(X99) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c3_1(X3)
            | c0_1(X3)
            | ~ c2_1(X3) ) )
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | c0_1(X2)
            | ~ c1_1(X2) ) )
      | hskp13 )
    & ( ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c2_1(X12)
            | c1_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | c2_1(X13)
            | ~ c1_1(X13) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c0_1(X11)
            | c1_1(X11)
            | c2_1(X11) ) ) )
    & ( ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | ~ c2_1(X15)
            | ~ c1_1(X15) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c1_1(X14)
            | c3_1(X14)
            | c0_1(X14) ) )
      | hskp28 )
    & ( hskp4
      | hskp17
      | ! [X64] :
          ( ndr1_0
         => ( c3_1(X64)
            | ~ c0_1(X64)
            | ~ c2_1(X64) ) ) )
    & ( hskp17
      | ! [X116] :
          ( ndr1_0
         => ( ~ c0_1(X116)
            | ~ c2_1(X116)
            | ~ c1_1(X116) ) ) )
    & ( ! [X68] :
          ( ndr1_0
         => ( c2_1(X68)
            | ~ c3_1(X68)
            | c1_1(X68) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c3_1(X67)
            | c2_1(X67)
            | c0_1(X67) ) )
      | ! [X69] :
          ( ndr1_0
         => ( c2_1(X69)
            | c3_1(X69)
            | ~ c1_1(X69) ) ) )
    & ( ! [X30] :
          ( ndr1_0
         => ( c2_1(X30)
            | c1_1(X30)
            | ~ c0_1(X30) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c2_1(X32)
            | ~ c0_1(X32)
            | c1_1(X32) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c2_1(X31)
            | ~ c3_1(X31)
            | c1_1(X31) ) ) )
    & ( ( c1_1(a1973)
        & c3_1(a1973)
        & ~ c2_1(a1973)
        & ndr1_0 )
      | ~ hskp2 )
    & ( hskp21
      | hskp1
      | hskp28 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | c2_1(X49)
            | c3_1(X49) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c1_1(X48)
            | ~ c2_1(X48) ) ) )
    & ( ~ hskp7
      | ( c1_1(a1981)
        & ndr1_0
        & ~ c3_1(a1981)
        & c0_1(a1981) ) )
    & ( ! [X20] :
          ( ndr1_0
         => ( c3_1(X20)
            | ~ c2_1(X20)
            | c1_1(X20) ) )
      | hskp23
      | hskp6 )
    & ( ~ hskp12
      | ( ~ c2_1(a1990)
        & ndr1_0
        & ~ c1_1(a1990)
        & c3_1(a1990) ) )
    & ( hskp22
      | hskp2
      | ! [X97] :
          ( ndr1_0
         => ( ~ c3_1(X97)
            | c2_1(X97)
            | c1_1(X97) ) ) )
    & ( ! [X120] :
          ( ndr1_0
         => ( ~ c3_1(X120)
            | c1_1(X120)
            | ~ c2_1(X120) ) )
      | hskp10 )
    & ( ! [X111] :
          ( ndr1_0
         => ( ~ c3_1(X111)
            | c2_1(X111)
            | c1_1(X111) ) )
      | hskp21
      | ! [X110] :
          ( ndr1_0
         => ( c2_1(X110)
            | ~ c1_1(X110)
            | c3_1(X110) ) ) )
    & ( ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c2_1(X21)
            | c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c0_1(X22)
            | c2_1(X22) ) )
      | hskp1 )
    & ( ( ~ c1_1(a1971)
        & c2_1(a1971)
        & c0_1(a1971)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ~ hskp15
      | ( ~ c1_1(a1993)
        & ~ c0_1(a1993)
        & ndr1_0
        & c2_1(a1993) ) )
    & ( ! [X80] :
          ( ndr1_0
         => ( c3_1(X80)
            | c1_1(X80)
            | c0_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c0_1(X81)
            | ~ c2_1(X81)
            | c1_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( c2_1(X82)
            | c1_1(X82)
            | ~ c3_1(X82) ) ) )
    & ( hskp3
      | hskp8
      | ! [X121] :
          ( ndr1_0
         => ( ~ c1_1(X121)
            | ~ c2_1(X121)
            | ~ c0_1(X121) ) ) )
    & ( ! [X1] :
          ( ndr1_0
         => ( c2_1(X1)
            | c3_1(X1)
            | ~ c0_1(X1) ) )
      | hskp16
      | hskp15 )
    & ( ( ~ c2_1(a2014)
        & c1_1(a2014)
        & ndr1_0
        & c0_1(a2014) )
      | ~ hskp23 )
    & ( ( ndr1_0
        & c1_1(a1998)
        & ~ c0_1(a1998)
        & c3_1(a1998) )
      | ~ hskp17 )
    & ( hskp15
      | hskp19
      | hskp16 )
    & ( hskp3
      | hskp17
      | ! [X0] :
          ( ndr1_0
         => ( ~ c2_1(X0)
            | c1_1(X0)
            | c3_1(X0) ) ) )
    & ( ! [X59] :
          ( ndr1_0
         => ( ~ c0_1(X59)
            | ~ c1_1(X59)
            | c3_1(X59) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | c0_1(X58)
            | ~ c1_1(X58) ) )
      | hskp10 )
    & ( hskp27
      | hskp6
      | hskp30 )
    & ( ! [X18] :
          ( ndr1_0
         => ( c2_1(X18)
            | ~ c1_1(X18)
            | ~ c0_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c3_1(X19)
            | c1_1(X19)
            | c2_1(X19) ) )
      | hskp12 )
    & ( hskp10
      | ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | c1_1(X9)
            | ~ c0_1(X9) ) )
      | hskp11 )
    & ( hskp24
      | ! [X60] :
          ( ndr1_0
         => ( c3_1(X60)
            | ~ c0_1(X60)
            | ~ c2_1(X60) ) )
      | hskp25 )
    & ( ! [X73] :
          ( ndr1_0
         => ( c0_1(X73)
            | ~ c2_1(X73)
            | ~ c3_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c0_1(X74)
            | ~ c3_1(X74)
            | c2_1(X74) ) )
      | hskp9 )
    & ( ! [X41] :
          ( ndr1_0
         => ( c2_1(X41)
            | ~ c1_1(X41)
            | ~ c3_1(X41) ) )
      | hskp12
      | hskp11 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( ~ hskp13
          | ( c2_1(a1991)
            & ndr1_0
            & ~ c3_1(a1991)
            & c0_1(a1991) ) )
        & ( hskp10
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | c1_1(X98)
                | c2_1(X98) ) )
          | hskp1 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c2_1(X84)
                | ~ c1_1(X84)
                | ~ c0_1(X84) ) )
          | hskp1
          | ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | c0_1(X83)
                | c3_1(X83) ) ) )
        & ( ~ hskp26
          | ( c0_1(a2049)
            & ndr1_0
            & c3_1(a2049)
            & ~ c1_1(a2049) ) )
        & ( ! [X87] :
              ( ndr1_0
             => ( ~ c1_1(X87)
                | c0_1(X87)
                | c3_1(X87) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | c2_1(X85)
                | c0_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c2_1(X86)
                | ~ c3_1(X86)
                | ~ c1_1(X86) ) ) )
        & ( hskp19
          | ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | c1_1(X28)
                | ~ c3_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c0_1(X27)
                | ~ c2_1(X27) ) ) )
        & ( hskp10
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | c0_1(X107)
                | c2_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( c2_1(X108)
                | ~ c1_1(X108)
                | ~ c0_1(X108) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | c0_1(X4)
                | ~ c1_1(X4) ) )
          | hskp3
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | ~ c2_1(X5)
                | c0_1(X5) ) ) )
        & ( ~ hskp5
          | ( ~ c2_1(a1977)
            & c1_1(a1977)
            & ndr1_0
            & ~ c3_1(a1977) ) )
        & ( ( ~ c3_1(a2009)
            & ndr1_0
            & ~ c1_1(a2009)
            & c2_1(a2009) )
          | ~ hskp21 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c3_1(X40)
                | c0_1(X40)
                | ~ c1_1(X40) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c2_1(X38)
                | ~ c0_1(X38)
                | ~ c1_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | ~ c0_1(X39)
                | ~ c1_1(X39) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | ~ c3_1(X24)
                | ~ c0_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | ~ c1_1(X23)
                | ~ c3_1(X23) ) )
          | hskp16 )
        & ( ~ hskp19
          | ( ndr1_0
            & c2_1(a2001)
            & ~ c0_1(a2001)
            & c3_1(a2001) ) )
        & ( ( ~ c0_1(a2041)
            & ~ c3_1(a2041)
            & ndr1_0
            & ~ c2_1(a2041) )
          | ~ hskp25 )
        & ( ( c2_1(a2005)
            & c0_1(a2005)
            & ndr1_0
            & c3_1(a2005) )
          | ~ hskp30 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c2_1(X102)
                | c1_1(X102)
                | c0_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | c2_1(X103)
                | c1_1(X103) ) )
          | hskp0 )
        & ( hskp12
          | ! [X115] :
              ( ndr1_0
             => ( ~ c3_1(X115)
                | c0_1(X115)
                | ~ c1_1(X115) ) )
          | ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | c3_1(X114)
                | c0_1(X114) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | ~ c0_1(X76)
                | ~ c3_1(X76) ) )
          | hskp20
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c2_1(X75)
                | ~ c1_1(X75) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( ~ c1_1(X7)
                | c2_1(X7)
                | ~ c3_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | c3_1(X8)
                | ~ c0_1(X8) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | ~ c1_1(X6)
                | c3_1(X6) ) ) )
        & ( ( ~ c3_1(a1969)
            & ~ c2_1(a1969)
            & ndr1_0
            & ~ c1_1(a1969) )
          | ~ hskp0 )
        & ( ! [X55] :
              ( ndr1_0
             => ( c2_1(X55)
                | c1_1(X55)
                | c3_1(X55) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c3_1(X53)
                | c1_1(X53)
                | ~ c2_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c0_1(X54)
                | c2_1(X54)
                | ~ c1_1(X54) ) ) )
        & ( hskp14
          | hskp10
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | ~ c1_1(X94)
                | ~ c2_1(X94) ) ) )
        & ( ~ hskp9
          | ( c1_1(a1985)
            & ~ c3_1(a1985)
            & ndr1_0
            & ~ c0_1(a1985) ) )
        & ( hskp4
          | hskp10
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp29
          | hskp6
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | c1_1(X96)
                | c0_1(X96) ) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( ~ c1_1(X71)
                | ~ c0_1(X71)
                | c2_1(X71) ) )
          | hskp1
          | hskp22 )
        & ( ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | ~ c0_1(X57)
                | ~ c2_1(X57) ) )
          | hskp1
          | hskp4 )
        & ( hskp6
          | hskp18
          | ! [X47] :
              ( ndr1_0
             => ( ~ c0_1(X47)
                | c1_1(X47)
                | ~ c3_1(X47) ) ) )
        & ( ~ hskp3
          | ( ~ c0_1(a1974)
            & ndr1_0
            & c2_1(a1974)
            & c1_1(a1974) ) )
        & ( ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | ~ c3_1(X33)
                | c0_1(X33) ) )
          | hskp17
          | hskp13 )
        & ( ~ hskp18
          | ( ndr1_0
            & ~ c1_1(a2000)
            & ~ c0_1(a2000)
            & ~ c3_1(a2000) ) )
        & ( hskp8
          | ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | ~ c3_1(X34)
                | c2_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | c1_1(X35)
                | ~ c2_1(X35) ) ) )
        & ( ! [X117] :
              ( ndr1_0
             => ( ~ c1_1(X117)
                | ~ c3_1(X117)
                | c0_1(X117) ) )
          | hskp4
          | hskp18 )
        & ( ( ~ c0_1(a1979)
            & ndr1_0
            & c3_1(a1979)
            & ~ c2_1(a1979) )
          | ~ hskp6 )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c3_1(X88)
                | ~ c1_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c3_1(X89)
                | c1_1(X89) ) )
          | hskp27 )
        & ( ( c3_1(a1972)
            & c0_1(a1972)
            & c1_1(a1972)
            & ndr1_0 )
          | ~ hskp28 )
        & ( hskp30
          | hskp5
          | ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | ~ c0_1(X70)
                | c2_1(X70) ) ) )
        & ( ~ hskp22
          | ( c0_1(a2012)
            & ~ c3_1(a2012)
            & ndr1_0
            & ~ c2_1(a2012) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & ~ c0_1(a1992)
            & ~ c2_1(a1992)
            & c1_1(a1992) ) )
        & ( ( c2_1(a1987)
            & ~ c1_1(a1987)
            & ndr1_0
            & c3_1(a1987) )
          | ~ hskp10 )
        & ( ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | ~ c3_1(X25)
                | ~ c2_1(X25) ) )
          | hskp11
          | hskp4 )
        & ( ~ hskp24
          | ( ~ c1_1(a2031)
            & ~ c2_1(a2031)
            & ~ c0_1(a2031)
            & ndr1_0 ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | ~ c2_1(X29)
                | c1_1(X29) ) )
          | hskp27
          | hskp4 )
        & ( hskp20
          | hskp13
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | c0_1(X10)
                | ~ c3_1(X10) ) ) )
        & ( ( c3_1(a1996)
            & ndr1_0
            & c0_1(a1996)
            & ~ c2_1(a1996) )
          | ~ hskp16 )
        & ( hskp29
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | ~ c3_1(X37)
                | c0_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c0_1(X36)
                | c2_1(X36) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( c1_1(X44)
                | c3_1(X44)
                | c0_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | ~ c2_1(X43)
                | ~ c1_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c3_1(X42)
                | ~ c2_1(X42) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | ~ c2_1(X63)
                | ~ c0_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c3_1(X62)
                | c2_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c3_1(X61)
                | c0_1(X61)
                | c1_1(X61) ) ) )
        & ( ~ hskp29
          | ( c0_1(a1978)
            & c1_1(a1978)
            & ndr1_0
            & c2_1(a1978) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( c2_1(X65)
                | ~ c1_1(X65)
                | ~ c0_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | c0_1(X66)
                | ~ c2_1(X66) ) )
          | hskp3 )
        & ( ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | c0_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c2_1(X52)
                | ~ c1_1(X52)
                | ~ c0_1(X52) ) ) )
        & ( ( c3_1(a1970)
            & c2_1(a1970)
            & c1_1(a1970)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | ~ c1_1(X109)
                | ~ c0_1(X109) ) )
          | hskp25
          | hskp26 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | ~ c3_1(X16)
                | c1_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c0_1(X17)
                | ~ c2_1(X17)
                | c3_1(X17) ) )
          | hskp5 )
        & ( ( c1_1(a2003)
            & ndr1_0
            & ~ c3_1(a2003)
            & c2_1(a2003) )
          | ~ hskp20 )
        & ( ! [X119] :
              ( ndr1_0
             => ( c2_1(X119)
                | ~ c1_1(X119)
                | c0_1(X119) ) )
          | ! [X118] :
              ( ndr1_0
             => ( ~ c2_1(X118)
                | ~ c1_1(X118)
                | c0_1(X118) ) )
          | hskp7 )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c1_1(X105)
                | ~ c0_1(X105)
                | ~ c3_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | ~ c0_1(X106)
                | c3_1(X106) ) )
          | hskp10 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c0_1(X79)
                | c2_1(X79)
                | ~ c3_1(X79) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c3_1(X77)
                | ~ c2_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c2_1(X78)
                | ~ c0_1(X78)
                | ~ c1_1(X78) ) ) )
        & ( ! [X91] :
              ( ndr1_0
             => ( c3_1(X91)
                | c0_1(X91)
                | ~ c2_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c3_1(X90)
                | c2_1(X90)
                | ~ c1_1(X90) ) )
          | hskp15 )
        & ( ( c3_1(a1983)
            & ~ c0_1(a1983)
            & ndr1_0
            & ~ c1_1(a1983) )
          | ~ hskp8 )
        & ( ( ndr1_0
            & ~ c0_1(a1989)
            & ~ c3_1(a1989)
            & c2_1(a1989) )
          | ~ hskp11 )
        & ( hskp30
          | hskp15
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | c1_1(X104)
                | ~ c0_1(X104) ) ) )
        & ( ~ hskp4
          | ( ~ c1_1(a1975)
            & ndr1_0
            & c0_1(a1975)
            & ~ c2_1(a1975) ) )
        & ( ! [X113] :
              ( ndr1_0
             => ( c2_1(X113)
                | c1_1(X113)
                | c3_1(X113) ) )
          | ! [X112] :
              ( ndr1_0
             => ( c0_1(X112)
                | c1_1(X112)
                | ~ c2_1(X112) ) )
          | hskp2 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c0_1(X92)
                | c3_1(X92)
                | ~ c2_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( c1_1(X93)
                | ~ c3_1(X93)
                | ~ c0_1(X93) ) )
          | hskp14 )
        & ( hskp21
          | hskp18
          | hskp16 )
        & ( hskp8
          | hskp28
          | ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | c2_1(X56)
                | ~ c1_1(X56) ) ) )
        & ( hskp12
          | hskp0
          | ! [X95] :
              ( ndr1_0
             => ( ~ c0_1(X95)
                | ~ c2_1(X95)
                | c3_1(X95) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( c2_1(X46)
                | c0_1(X46)
                | c3_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c3_1(X45)
                | c1_1(X45) ) )
          | hskp27 )
        & ( hskp24
          | hskp16
          | ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | c2_1(X26)
                | ~ c0_1(X26) ) ) )
        & ( hskp5
          | hskp23
          | hskp8 )
        & ( hskp9
          | hskp11
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | c2_1(X50)
                | c0_1(X50) ) ) )
        & ( ! [X101] :
              ( ndr1_0
             => ( c1_1(X101)
                | c2_1(X101)
                | ~ c0_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | ~ c0_1(X100)
                | c2_1(X100) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | c0_1(X99)
                | c2_1(X99) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c3_1(X3)
                | c0_1(X3)
                | ~ c2_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | c0_1(X2)
                | ~ c1_1(X2) ) )
          | hskp13 )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c2_1(X12)
                | c1_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | c2_1(X13)
                | ~ c1_1(X13) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c0_1(X11)
                | c1_1(X11)
                | c2_1(X11) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c2_1(X15)
                | ~ c1_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c1_1(X14)
                | c3_1(X14)
                | c0_1(X14) ) )
          | hskp28 )
        & ( hskp4
          | hskp17
          | ! [X64] :
              ( ndr1_0
             => ( c3_1(X64)
                | ~ c0_1(X64)
                | ~ c2_1(X64) ) ) )
        & ( hskp17
          | ! [X116] :
              ( ndr1_0
             => ( ~ c0_1(X116)
                | ~ c2_1(X116)
                | ~ c1_1(X116) ) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( c2_1(X68)
                | ~ c3_1(X68)
                | c1_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | c2_1(X67)
                | c0_1(X67) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c2_1(X69)
                | c3_1(X69)
                | ~ c1_1(X69) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( c2_1(X30)
                | c1_1(X30)
                | ~ c0_1(X30) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | ~ c0_1(X32)
                | c1_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c2_1(X31)
                | ~ c3_1(X31)
                | c1_1(X31) ) ) )
        & ( ( c1_1(a1973)
            & c3_1(a1973)
            & ~ c2_1(a1973)
            & ndr1_0 )
          | ~ hskp2 )
        & ( hskp21
          | hskp1
          | hskp28 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c2_1(X49)
                | c3_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c1_1(X48)
                | ~ c2_1(X48) ) ) )
        & ( ~ hskp7
          | ( c1_1(a1981)
            & ndr1_0
            & ~ c3_1(a1981)
            & c0_1(a1981) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | ~ c2_1(X20)
                | c1_1(X20) ) )
          | hskp23
          | hskp6 )
        & ( ~ hskp12
          | ( ~ c2_1(a1990)
            & ndr1_0
            & ~ c1_1(a1990)
            & c3_1(a1990) ) )
        & ( hskp22
          | hskp2
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | c2_1(X97)
                | c1_1(X97) ) ) )
        & ( ! [X120] :
              ( ndr1_0
             => ( ~ c3_1(X120)
                | c1_1(X120)
                | ~ c2_1(X120) ) )
          | hskp10 )
        & ( ! [X111] :
              ( ndr1_0
             => ( ~ c3_1(X111)
                | c2_1(X111)
                | c1_1(X111) ) )
          | hskp21
          | ! [X110] :
              ( ndr1_0
             => ( c2_1(X110)
                | ~ c1_1(X110)
                | c3_1(X110) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c2_1(X21)
                | c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c0_1(X22)
                | c2_1(X22) ) )
          | hskp1 )
        & ( ( ~ c1_1(a1971)
            & c2_1(a1971)
            & c0_1(a1971)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ~ hskp15
          | ( ~ c1_1(a1993)
            & ~ c0_1(a1993)
            & ndr1_0
            & c2_1(a1993) ) )
        & ( ! [X80] :
              ( ndr1_0
             => ( c3_1(X80)
                | c1_1(X80)
                | c0_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | ~ c2_1(X81)
                | c1_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | c1_1(X82)
                | ~ c3_1(X82) ) ) )
        & ( hskp3
          | hskp8
          | ! [X121] :
              ( ndr1_0
             => ( ~ c1_1(X121)
                | ~ c2_1(X121)
                | ~ c0_1(X121) ) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( c2_1(X1)
                | c3_1(X1)
                | ~ c0_1(X1) ) )
          | hskp16
          | hskp15 )
        & ( ( ~ c2_1(a2014)
            & c1_1(a2014)
            & ndr1_0
            & c0_1(a2014) )
          | ~ hskp23 )
        & ( ( ndr1_0
            & c1_1(a1998)
            & ~ c0_1(a1998)
            & c3_1(a1998) )
          | ~ hskp17 )
        & ( hskp15
          | hskp19
          | hskp16 )
        & ( hskp3
          | hskp17
          | ! [X0] :
              ( ndr1_0
             => ( ~ c2_1(X0)
                | c1_1(X0)
                | c3_1(X0) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | ~ c1_1(X59)
                | c3_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | c0_1(X58)
                | ~ c1_1(X58) ) )
          | hskp10 )
        & ( hskp27
          | hskp6
          | hskp30 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c2_1(X18)
                | ~ c1_1(X18)
                | ~ c0_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c3_1(X19)
                | c1_1(X19)
                | c2_1(X19) ) )
          | hskp12 )
        & ( hskp10
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | c1_1(X9)
                | ~ c0_1(X9) ) )
          | hskp11 )
        & ( hskp24
          | ! [X60] :
              ( ndr1_0
             => ( c3_1(X60)
                | ~ c0_1(X60)
                | ~ c2_1(X60) ) )
          | hskp25 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c0_1(X73)
                | ~ c2_1(X73)
                | ~ c3_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c0_1(X74)
                | ~ c3_1(X74)
                | c2_1(X74) ) )
          | hskp9 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c2_1(X41)
                | ~ c1_1(X41)
                | ~ c3_1(X41) ) )
          | hskp12
          | hskp11 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | c1_1(X95)
                | c3_1(X95) ) )
          | hskp3
          | hskp17 )
        & ( ( ~ c0_1(a1979)
            & ndr1_0
            & c3_1(a1979)
            & ~ c2_1(a1979) )
          | ~ hskp6 )
        & ( hskp16
          | ! [X102] :
              ( ndr1_0
             => ( c3_1(X102)
                | c2_1(X102)
                | ~ c0_1(X102) ) )
          | hskp15 )
        & ( ( c2_1(a1987)
            & ~ c1_1(a1987)
            & ndr1_0
            & c3_1(a1987) )
          | ~ hskp10 )
        & ( ( c3_1(a1983)
            & ~ c0_1(a1983)
            & ndr1_0
            & ~ c1_1(a1983) )
          | ~ hskp8 )
        & ( ~ hskp24
          | ( ~ c1_1(a2031)
            & ~ c2_1(a2031)
            & ~ c0_1(a2031)
            & ndr1_0 ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | c0_1(X59)
                | ~ c3_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c3_1(X58)
                | ~ c2_1(X58)
                | c0_1(X58) ) )
          | hskp13 )
        & ( hskp3
          | ! [X65] :
              ( ndr1_0
             => ( ~ c1_1(X65)
                | c0_1(X65)
                | ~ c3_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( ( c3_1(a1996)
            & ndr1_0
            & c0_1(a1996)
            & ~ c2_1(a1996) )
          | ~ hskp16 )
        & ( ~ hskp18
          | ( ndr1_0
            & ~ c1_1(a2000)
            & ~ c0_1(a2000)
            & ~ c3_1(a2000) ) )
        & ( ( ndr1_0
            & c1_1(a1998)
            & ~ c0_1(a1998)
            & c3_1(a1998) )
          | ~ hskp17 )
        & ( ~ hskp19
          | ( ndr1_0
            & c2_1(a2001)
            & ~ c0_1(a2001)
            & c3_1(a2001) ) )
        & ( ! [X103] :
              ( ndr1_0
             => ( ~ c1_1(X103)
                | c3_1(X103)
                | c2_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | ~ c1_1(X104)
                | ~ c3_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c1_1(X105)
                | c3_1(X105)
                | ~ c0_1(X105) ) ) )
        & ( ~ hskp3
          | ( ~ c0_1(a1974)
            & ndr1_0
            & c2_1(a1974)
            & c1_1(a1974) ) )
        & ( hskp11
          | ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | ~ c0_1(X96)
                | ~ c2_1(X96) ) )
          | hskp10 )
        & ( hskp13
          | hskp20
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c2_1(X76)
                | c0_1(X76) ) ) )
        & ( ! [X85] :
              ( ndr1_0
             => ( c2_1(X85)
                | c1_1(X85)
                | ~ c0_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c2_1(X86)
                | c1_1(X86)
                | ~ c3_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c1_1(X87)
                | ~ c3_1(X87)
                | c2_1(X87) ) ) )
        & ( ~ hskp9
          | ( c1_1(a1985)
            & ~ c3_1(a1985)
            & ndr1_0
            & ~ c0_1(a1985) ) )
        & ( ( c1_1(a2003)
            & ndr1_0
            & ~ c3_1(a2003)
            & c2_1(a2003) )
          | ~ hskp20 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c1_1(X15)
                | c3_1(X15)
                | c0_1(X15) ) )
          | hskp28
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c1_1(X16)
                | ~ c2_1(X16) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) )
          | hskp5
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | c3_1(X23)
                | ~ c2_1(X23) ) ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | ~ c0_1(X81)
                | c2_1(X81) ) )
          | hskp12
          | ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c2_1(X80)
                | c3_1(X80) ) ) )
        & ( hskp6
          | hskp23
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | c1_1(X94)
                | ~ c2_1(X94) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) )
          | hskp1
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c0_1(X26)
                | c2_1(X26) ) ) )
        & ( ~ hskp7
          | ( c1_1(a1981)
            & ndr1_0
            & ~ c3_1(a1981)
            & c0_1(a1981) ) )
        & ( hskp16
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c1_1(X68)
                | c0_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c1_1(X69)
                | ~ c0_1(X69) ) ) )
        & ( hskp5
          | hskp23
          | hskp8 )
        & ( ( c2_1(a2005)
            & c0_1(a2005)
            & ndr1_0
            & c3_1(a2005) )
          | ~ hskp30 )
        & ( hskp4
          | hskp11
          | ! [X121] :
              ( ndr1_0
             => ( ~ c1_1(X121)
                | ~ c3_1(X121)
                | ~ c2_1(X121) ) ) )
        & ( hskp24
          | hskp16
          | ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | c2_1(X107)
                | ~ c1_1(X107) ) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | c0_1(X72)
                | ~ c2_1(X72) ) )
          | hskp19
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c1_1(X73)
                | ~ c0_1(X73) ) ) )
        & ( hskp4
          | ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | ~ c2_1(X21)
                | c1_1(X21) ) )
          | hskp27 )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | c2_1(X82)
                | c1_1(X82) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | ~ c2_1(X84)
                | ~ c3_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c2_1(X83)
                | c1_1(X83)
                | ~ c0_1(X83) ) ) )
        & ( ( ~ c3_1(a1969)
            & ~ c2_1(a1969)
            & ndr1_0
            & ~ c1_1(a1969) )
          | ~ hskp0 )
        & ( ( ~ c2_1(a2014)
            & c1_1(a2014)
            & ndr1_0
            & c0_1(a2014) )
          | ~ hskp23 )
        & ( ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | c0_1(X70)
                | ~ c1_1(X70) ) )
          | hskp13
          | hskp17 )
        & ( hskp8
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | c0_1(X48)
                | c2_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c1_1(X49)
                | ~ c2_1(X49)
                | ~ c0_1(X49) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | ~ c3_1(X35)
                | c2_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | ~ c3_1(X36)
                | ~ c1_1(X36) ) )
          | hskp29 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c2_1(X56)
                | ~ c1_1(X56)
                | ~ c0_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | ~ c1_1(X57)
                | ~ c2_1(X57) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | c3_1(X55)
                | ~ c1_1(X55) ) ) )
        & ( hskp12
          | hskp11
          | ! [X110] :
              ( ndr1_0
             => ( ~ c1_1(X110)
                | ~ c3_1(X110)
                | c2_1(X110) ) ) )
        & ( ~ hskp13
          | ( c2_1(a1991)
            & ndr1_0
            & ~ c3_1(a1991)
            & c0_1(a1991) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c3_1(X8)
                | ~ c2_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | ~ c2_1(X9)
                | c3_1(X9) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( c3_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c0_1(X3)
                | c3_1(X3) ) )
          | hskp27 )
        & ( ~ hskp26
          | ( c0_1(a2049)
            & ndr1_0
            & c3_1(a2049)
            & ~ c1_1(a2049) ) )
        & ( hskp21
          | hskp1
          | hskp28 )
        & ( ( c3_1(a1972)
            & c0_1(a1972)
            & c1_1(a1972)
            & ndr1_0 )
          | ~ hskp28 )
        & ( hskp6
          | ! [X98] :
              ( ndr1_0
             => ( ~ c0_1(X98)
                | c1_1(X98)
                | ~ c3_1(X98) ) )
          | hskp18 )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c2_1(X28)
                | ~ c1_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c2_1(X27)
                | c0_1(X27)
                | c3_1(X27) ) ) )
        & ( hskp11
          | hskp9
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | c0_1(X52)
                | c2_1(X52) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( c0_1(X74)
                | ~ c3_1(X74)
                | ~ c2_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | ~ c1_1(X75)
                | c2_1(X75) ) ) )
        & ( ( c1_1(a1973)
            & c3_1(a1973)
            & ~ c2_1(a1973)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | ~ c2_1(X78)
                | c3_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | ~ c1_1(X79)
                | c2_1(X79) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c2_1(X77)
                | c3_1(X77) ) ) )
        & ( ( ~ c3_1(a2009)
            & ndr1_0
            & ~ c1_1(a2009)
            & c2_1(a2009) )
          | ~ hskp21 )
        & ( ~ hskp22
          | ( c0_1(a2012)
            & ~ c3_1(a2012)
            & ndr1_0
            & ~ c2_1(a2012) ) )
        & ( hskp8
          | hskp28
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( ! [X117] :
              ( ndr1_0
             => ( ~ c1_1(X117)
                | ~ c2_1(X117)
                | ~ c0_1(X117) ) )
          | hskp4
          | hskp1 )
        & ( ( ~ c1_1(a1971)
            & c2_1(a1971)
            & c0_1(a1971)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | c0_1(X66)
                | ~ c2_1(X66) ) )
          | hskp10
          | ! [X67] :
              ( ndr1_0
             => ( c3_1(X67)
                | ~ c1_1(X67)
                | ~ c0_1(X67) ) ) )
        & ( hskp25
          | hskp24
          | ! [X115] :
              ( ndr1_0
             => ( c3_1(X115)
                | ~ c2_1(X115)
                | ~ c0_1(X115) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( c1_1(X4)
                | c3_1(X4)
                | c0_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | ~ c3_1(X5)
                | c2_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c0_1(X6)
                | ~ c1_1(X6) ) ) )
        & ( ~ hskp15
          | ( ~ c1_1(a1993)
            & ~ c0_1(a1993)
            & ndr1_0
            & c2_1(a1993) ) )
        & ( ! [X113] :
              ( ndr1_0
             => ( ~ c0_1(X113)
                | c3_1(X113)
                | ~ c2_1(X113) ) )
          | hskp4
          | hskp17 )
        & ( ! [X20] :
              ( ndr1_0
             => ( ~ c1_1(X20)
                | ~ c0_1(X20)
                | c2_1(X20) ) )
          | hskp3
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( c2_1(X42)
                | c0_1(X42)
                | ~ c3_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c1_1(X43)
                | c2_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c2_1(X44)
                | c3_1(X44)
                | ~ c1_1(X44) ) ) )
        & ( ( ndr1_0
            & ~ c0_1(a1989)
            & ~ c3_1(a1989)
            & c2_1(a1989) )
          | ~ hskp11 )
        & ( hskp30
          | ! [X88] :
              ( ndr1_0
             => ( c2_1(X88)
                | ~ c0_1(X88)
                | c1_1(X88) ) )
          | hskp5 )
        & ( hskp22
          | hskp1
          | ! [X106] :
              ( ndr1_0
             => ( ~ c1_1(X106)
                | ~ c0_1(X106)
                | c2_1(X106) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | c2_1(X89)
                | ~ c0_1(X89) ) )
          | hskp4
          | hskp10 )
        & ( ( ~ c0_1(a2041)
            & ~ c3_1(a2041)
            & ndr1_0
            & ~ c2_1(a2041) )
          | ~ hskp25 )
        & ( hskp9
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | c0_1(X38)
                | ~ c3_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c0_1(X37)
                | c2_1(X37) ) ) )
        & ( ! [X108] :
              ( ndr1_0
             => ( ~ c1_1(X108)
                | c2_1(X108)
                | ~ c3_1(X108) ) )
          | hskp20
          | ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | ~ c3_1(X109)
                | ~ c0_1(X109) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | c1_1(X46)
                | c3_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | c2_1(X47)
                | ~ c0_1(X47) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | ~ c3_1(X45)
                | c2_1(X45) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( c1_1(X10)
                | c3_1(X10)
                | c0_1(X10) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | ~ c0_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c2_1(X11)
                | ~ c3_1(X11)
                | c1_1(X11) ) ) )
        & ( hskp1
          | ! [X13] :
              ( ndr1_0
             => ( c1_1(X13)
                | c0_1(X13)
                | c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | c2_1(X14)
                | ~ c1_1(X14) ) ) )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | ~ c3_1(X32) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c2_1(X34)
                | ~ c3_1(X34)
                | ~ c1_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c3_1(X33)
                | c0_1(X33) ) ) )
        & ( ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c2_1(X100)
                | ~ c1_1(X100) ) )
          | hskp27
          | ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | ~ c3_1(X99)
                | ~ c2_1(X99) ) ) )
        & ( ~ hskp4
          | ( ~ c1_1(a1975)
            & ndr1_0
            & c0_1(a1975)
            & ~ c2_1(a1975) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | c3_1(X63)
                | c2_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c3_1(X62)
                | ~ c2_1(X62)
                | c0_1(X62) ) )
          | hskp15 )
        & ( ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | c3_1(X60)
                | c0_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | c1_1(X61)
                | ~ c3_1(X61) ) )
          | hskp14 )
        & ( hskp14
          | hskp10
          | ! [X116] :
              ( ndr1_0
             => ( ~ c2_1(X116)
                | ~ c1_1(X116)
                | c3_1(X116) ) ) )
        & ( hskp12
          | hskp0
          | ! [X114] :
              ( ndr1_0
             => ( c3_1(X114)
                | ~ c2_1(X114)
                | ~ c0_1(X114) ) ) )
        & ( hskp21
          | hskp18
          | hskp16 )
        & ( hskp15
          | hskp19
          | hskp16 )
        & ( ~ hskp14
          | ( ndr1_0
            & ~ c0_1(a1992)
            & ~ c2_1(a1992)
            & c1_1(a1992) ) )
        & ( ( c3_1(a1970)
            & c2_1(a1970)
            & c1_1(a1970)
            & ndr1_0 )
          | ~ hskp27 )
        & ( hskp6
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c1_1(X24)
                | c0_1(X24) ) )
          | hskp29 )
        & ( hskp22
          | ! [X93] :
              ( ndr1_0
             => ( c1_1(X93)
                | ~ c3_1(X93)
                | c2_1(X93) ) )
          | hskp2 )
        & ( hskp10
          | hskp1
          | ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | c1_1(X92)
                | ~ c3_1(X92) ) ) )
        & ( ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | c2_1(X41)
                | ~ c1_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c2_1(X40)
                | c1_1(X40)
                | ~ c0_1(X40) ) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c0_1(X0)
                | c1_1(X0) ) )
          | hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c0_1(X1)
                | c1_1(X1)
                | c2_1(X1) ) ) )
        & ( hskp15
          | ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | ~ c3_1(X97)
                | c1_1(X97) ) )
          | hskp30 )
        & ( ~ hskp12
          | ( ~ c2_1(a1990)
            & ndr1_0
            & ~ c1_1(a1990)
            & c3_1(a1990) ) )
        & ( hskp10
          | ! [X112] :
              ( ndr1_0
             => ( ~ c0_1(X112)
                | ~ c1_1(X112)
                | ~ c3_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( c3_1(X111)
                | ~ c2_1(X111)
                | ~ c0_1(X111) ) ) )
        & ( hskp10
          | ! [X50] :
              ( ndr1_0
             => ( c2_1(X50)
                | c0_1(X50)
                | ~ c3_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | c2_1(X51)
                | ~ c0_1(X51) ) ) )
        & ( ! [X120] :
              ( ndr1_0
             => ( ~ c3_1(X120)
                | ~ c1_1(X120)
                | ~ c0_1(X120) ) )
          | hskp26
          | hskp25 )
        & ( hskp27
          | hskp6
          | hskp30 )
        & ( ~ hskp29
          | ( c0_1(a1978)
            & c1_1(a1978)
            & ndr1_0
            & c2_1(a1978) ) )
        & ( ! [X91] :
              ( ndr1_0
             => ( c3_1(X91)
                | ~ c1_1(X91)
                | c2_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | ~ c3_1(X90)
                | c2_1(X90) ) )
          | hskp21 )
        & ( hskp2
          | ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c2_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c2_1(X18)
                | c1_1(X18)
                | c3_1(X18) ) ) )
        & ( hskp12
          | ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | ~ c1_1(X53)
                | c3_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | c0_1(X54)
                | ~ c1_1(X54) ) ) )
        & ( ~ hskp5
          | ( ~ c2_1(a1977)
            & c1_1(a1977)
            & ndr1_0
            & ~ c3_1(a1977) ) )
        & ( hskp17
          | ! [X119] :
              ( ndr1_0
             => ( ~ c1_1(X119)
                | ~ c2_1(X119)
                | ~ c0_1(X119) ) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c1_1(X71)
                | c0_1(X71) ) )
          | hskp18
          | hskp4 )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c0_1(X30)
                | ~ c2_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c2_1(X29)
                | c0_1(X29)
                | ~ c1_1(X29) ) )
          | hskp7 )
        & ( hskp10
          | ! [X101] :
              ( ndr1_0
             => ( c1_1(X101)
                | ~ c3_1(X101)
                | ~ c2_1(X101) ) ) )
        & ( hskp3
          | ! [X118] :
              ( ndr1_0
             => ( ~ c2_1(X118)
                | ~ c0_1(X118)
                | ~ c1_1(X118) ) )
          | hskp8 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | c1_1(X95)
              | c3_1(X95) ) )
        | hskp3
        | hskp17 )
      & ( ( ~ c0_1(a1979)
          & ndr1_0
          & c3_1(a1979)
          & ~ c2_1(a1979) )
        | ~ hskp6 )
      & ( hskp16
        | ! [X102] :
            ( ndr1_0
           => ( c3_1(X102)
              | c2_1(X102)
              | ~ c0_1(X102) ) )
        | hskp15 )
      & ( ( c2_1(a1987)
          & ~ c1_1(a1987)
          & ndr1_0
          & c3_1(a1987) )
        | ~ hskp10 )
      & ( ( c3_1(a1983)
          & ~ c0_1(a1983)
          & ndr1_0
          & ~ c1_1(a1983) )
        | ~ hskp8 )
      & ( ~ hskp24
        | ( ~ c1_1(a2031)
          & ~ c2_1(a2031)
          & ~ c0_1(a2031)
          & ndr1_0 ) )
      & ( ! [X59] :
            ( ndr1_0
           => ( ~ c1_1(X59)
              | c0_1(X59)
              | ~ c3_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c3_1(X58)
              | ~ c2_1(X58)
              | c0_1(X58) ) )
        | hskp13 )
      & ( hskp3
        | ! [X65] :
            ( ndr1_0
           => ( ~ c1_1(X65)
              | c0_1(X65)
              | ~ c3_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c2_1(X64)
              | ~ c1_1(X64)
              | c0_1(X64) ) ) )
      & ( ( c3_1(a1996)
          & ndr1_0
          & c0_1(a1996)
          & ~ c2_1(a1996) )
        | ~ hskp16 )
      & ( ~ hskp18
        | ( ndr1_0
          & ~ c1_1(a2000)
          & ~ c0_1(a2000)
          & ~ c3_1(a2000) ) )
      & ( ( ndr1_0
          & c1_1(a1998)
          & ~ c0_1(a1998)
          & c3_1(a1998) )
        | ~ hskp17 )
      & ( ~ hskp19
        | ( ndr1_0
          & c2_1(a2001)
          & ~ c0_1(a2001)
          & c3_1(a2001) ) )
      & ( ! [X103] :
            ( ndr1_0
           => ( ~ c1_1(X103)
              | c3_1(X103)
              | c2_1(X103) ) )
        | ! [X104] :
            ( ndr1_0
           => ( c2_1(X104)
              | ~ c1_1(X104)
              | ~ c3_1(X104) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c1_1(X105)
              | c3_1(X105)
              | ~ c0_1(X105) ) ) )
      & ( ~ hskp3
        | ( ~ c0_1(a1974)
          & ndr1_0
          & c2_1(a1974)
          & c1_1(a1974) ) )
      & ( hskp11
        | ! [X96] :
            ( ndr1_0
           => ( c1_1(X96)
              | ~ c0_1(X96)
              | ~ c2_1(X96) ) )
        | hskp10 )
      & ( hskp13
        | hskp20
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c2_1(X76)
              | c0_1(X76) ) ) )
      & ( ! [X85] :
            ( ndr1_0
           => ( c2_1(X85)
              | c1_1(X85)
              | ~ c0_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c2_1(X86)
              | c1_1(X86)
              | ~ c3_1(X86) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c1_1(X87)
              | ~ c3_1(X87)
              | c2_1(X87) ) ) )
      & ( ~ hskp9
        | ( c1_1(a1985)
          & ~ c3_1(a1985)
          & ndr1_0
          & ~ c0_1(a1985) ) )
      & ( ( c1_1(a2003)
          & ndr1_0
          & ~ c3_1(a2003)
          & c2_1(a2003) )
        | ~ hskp20 )
      & ( ! [X15] :
            ( ndr1_0
           => ( c1_1(X15)
              | c3_1(X15)
              | c0_1(X15) ) )
        | hskp28
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | ~ c1_1(X16)
              | ~ c2_1(X16) ) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) )
        | hskp5
        | ! [X23] :
            ( ndr1_0
           => ( ~ c0_1(X23)
              | c3_1(X23)
              | ~ c2_1(X23) ) ) )
      & ( ! [X81] :
            ( ndr1_0
           => ( ~ c1_1(X81)
              | ~ c0_1(X81)
              | c2_1(X81) ) )
        | hskp12
        | ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | c2_1(X80)
              | c3_1(X80) ) ) )
      & ( hskp6
        | hskp23
        | ! [X94] :
            ( ndr1_0
           => ( c3_1(X94)
              | c1_1(X94)
              | ~ c2_1(X94) ) ) )
      & ( ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) )
        | hskp1
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | ~ c0_1(X26)
              | c2_1(X26) ) ) )
      & ( ~ hskp7
        | ( c1_1(a1981)
          & ndr1_0
          & ~ c3_1(a1981)
          & c0_1(a1981) ) )
      & ( hskp16
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c1_1(X68)
              | c0_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c1_1(X69)
              | ~ c0_1(X69) ) ) )
      & ( hskp5
        | hskp23
        | hskp8 )
      & ( ( c2_1(a2005)
          & c0_1(a2005)
          & ndr1_0
          & c3_1(a2005) )
        | ~ hskp30 )
      & ( hskp4
        | hskp11
        | ! [X121] :
            ( ndr1_0
           => ( ~ c1_1(X121)
              | ~ c3_1(X121)
              | ~ c2_1(X121) ) ) )
      & ( hskp24
        | hskp16
        | ! [X107] :
            ( ndr1_0
           => ( ~ c0_1(X107)
              | c2_1(X107)
              | ~ c1_1(X107) ) ) )
      & ( ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | c0_1(X72)
              | ~ c2_1(X72) ) )
        | hskp19
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | c1_1(X73)
              | ~ c0_1(X73) ) ) )
      & ( hskp4
        | ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | ~ c2_1(X21)
              | c1_1(X21) ) )
        | hskp27 )
      & ( ! [X82] :
            ( ndr1_0
           => ( ~ c0_1(X82)
              | c2_1(X82)
              | c1_1(X82) ) )
        | ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | ~ c2_1(X84)
              | ~ c3_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c2_1(X83)
              | c1_1(X83)
              | ~ c0_1(X83) ) ) )
      & ( ( ~ c3_1(a1969)
          & ~ c2_1(a1969)
          & ndr1_0
          & ~ c1_1(a1969) )
        | ~ hskp0 )
      & ( ( ~ c2_1(a2014)
          & c1_1(a2014)
          & ndr1_0
          & c0_1(a2014) )
        | ~ hskp23 )
      & ( ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | c0_1(X70)
              | ~ c1_1(X70) ) )
        | hskp13
        | hskp17 )
      & ( hskp8
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | c0_1(X48)
              | c2_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c1_1(X49)
              | ~ c2_1(X49)
              | ~ c0_1(X49) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | ~ c3_1(X35)
              | c2_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | ~ c3_1(X36)
              | ~ c1_1(X36) ) )
        | hskp29 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c2_1(X56)
              | ~ c1_1(X56)
              | ~ c0_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c0_1(X57)
              | ~ c1_1(X57)
              | ~ c2_1(X57) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c0_1(X55)
              | c3_1(X55)
              | ~ c1_1(X55) ) ) )
      & ( hskp12
        | hskp11
        | ! [X110] :
            ( ndr1_0
           => ( ~ c1_1(X110)
              | ~ c3_1(X110)
              | c2_1(X110) ) ) )
      & ( ~ hskp13
        | ( c2_1(a1991)
          & ndr1_0
          & ~ c3_1(a1991)
          & c0_1(a1991) ) )
      & ( ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c3_1(X8)
              | ~ c2_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c1_1(X9)
              | ~ c2_1(X9)
              | c3_1(X9) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( c3_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c0_1(X3)
              | c3_1(X3) ) )
        | hskp27 )
      & ( ~ hskp26
        | ( c0_1(a2049)
          & ndr1_0
          & c3_1(a2049)
          & ~ c1_1(a2049) ) )
      & ( hskp21
        | hskp1
        | hskp28 )
      & ( ( c3_1(a1972)
          & c0_1(a1972)
          & c1_1(a1972)
          & ndr1_0 )
        | ~ hskp28 )
      & ( hskp6
        | ! [X98] :
            ( ndr1_0
           => ( ~ c0_1(X98)
              | c1_1(X98)
              | ~ c3_1(X98) ) )
        | hskp18 )
      & ( ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | ~ c2_1(X28)
              | ~ c1_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c2_1(X27)
              | c0_1(X27)
              | c3_1(X27) ) ) )
      & ( hskp11
        | hskp9
        | ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | c0_1(X52)
              | c2_1(X52) ) ) )
      & ( ! [X74] :
            ( ndr1_0
           => ( c0_1(X74)
              | ~ c3_1(X74)
              | ~ c2_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c0_1(X75)
              | ~ c1_1(X75)
              | c2_1(X75) ) ) )
      & ( ( c1_1(a1973)
          & c3_1(a1973)
          & ~ c2_1(a1973)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | ~ c2_1(X78)
              | c3_1(X78) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | ~ c1_1(X79)
              | c2_1(X79) ) )
        | ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c2_1(X77)
              | c3_1(X77) ) ) )
      & ( ( ~ c3_1(a2009)
          & ndr1_0
          & ~ c1_1(a2009)
          & c2_1(a2009) )
        | ~ hskp21 )
      & ( ~ hskp22
        | ( c0_1(a2012)
          & ~ c3_1(a2012)
          & ndr1_0
          & ~ c2_1(a2012) ) )
      & ( hskp8
        | hskp28
        | ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( ! [X117] :
            ( ndr1_0
           => ( ~ c1_1(X117)
              | ~ c2_1(X117)
              | ~ c0_1(X117) ) )
        | hskp4
        | hskp1 )
      & ( ( ~ c1_1(a1971)
          & c2_1(a1971)
          & c0_1(a1971)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ! [X66] :
            ( ndr1_0
           => ( ~ c1_1(X66)
              | c0_1(X66)
              | ~ c2_1(X66) ) )
        | hskp10
        | ! [X67] :
            ( ndr1_0
           => ( c3_1(X67)
              | ~ c1_1(X67)
              | ~ c0_1(X67) ) ) )
      & ( hskp25
        | hskp24
        | ! [X115] :
            ( ndr1_0
           => ( c3_1(X115)
              | ~ c2_1(X115)
              | ~ c0_1(X115) ) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( c1_1(X4)
              | c3_1(X4)
              | c0_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | ~ c3_1(X5)
              | c2_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( ~ c2_1(X6)
              | ~ c0_1(X6)
              | ~ c1_1(X6) ) ) )
      & ( ~ hskp15
        | ( ~ c1_1(a1993)
          & ~ c0_1(a1993)
          & ndr1_0
          & c2_1(a1993) ) )
      & ( ! [X113] :
            ( ndr1_0
           => ( ~ c0_1(X113)
              | c3_1(X113)
              | ~ c2_1(X113) ) )
        | hskp4
        | hskp17 )
      & ( ! [X20] :
            ( ndr1_0
           => ( ~ c1_1(X20)
              | ~ c0_1(X20)
              | c2_1(X20) ) )
        | hskp3
        | ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( ! [X42] :
            ( ndr1_0
           => ( c2_1(X42)
              | c0_1(X42)
              | ~ c3_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | c1_1(X43)
              | c2_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( c2_1(X44)
              | c3_1(X44)
              | ~ c1_1(X44) ) ) )
      & ( ( ndr1_0
          & ~ c0_1(a1989)
          & ~ c3_1(a1989)
          & c2_1(a1989) )
        | ~ hskp11 )
      & ( hskp30
        | ! [X88] :
            ( ndr1_0
           => ( c2_1(X88)
              | ~ c0_1(X88)
              | c1_1(X88) ) )
        | hskp5 )
      & ( hskp22
        | hskp1
        | ! [X106] :
            ( ndr1_0
           => ( ~ c1_1(X106)
              | ~ c0_1(X106)
              | c2_1(X106) ) ) )
      & ( ! [X89] :
            ( ndr1_0
           => ( c1_1(X89)
              | c2_1(X89)
              | ~ c0_1(X89) ) )
        | hskp4
        | hskp10 )
      & ( ( ~ c0_1(a2041)
          & ~ c3_1(a2041)
          & ndr1_0
          & ~ c2_1(a2041) )
        | ~ hskp25 )
      & ( hskp9
        | ! [X38] :
            ( ndr1_0
           => ( ~ c2_1(X38)
              | c0_1(X38)
              | ~ c3_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | c0_1(X37)
              | c2_1(X37) ) ) )
      & ( ! [X108] :
            ( ndr1_0
           => ( ~ c1_1(X108)
              | c2_1(X108)
              | ~ c3_1(X108) ) )
        | hskp20
        | ! [X109] :
            ( ndr1_0
           => ( ~ c1_1(X109)
              | ~ c3_1(X109)
              | ~ c0_1(X109) ) ) )
      & ( ! [X46] :
            ( ndr1_0
           => ( ~ c2_1(X46)
              | c1_1(X46)
              | c3_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c1_1(X47)
              | c2_1(X47)
              | ~ c0_1(X47) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | ~ c3_1(X45)
              | c2_1(X45) ) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( c1_1(X10)
              | c3_1(X10)
              | c0_1(X10) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | ~ c0_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c2_1(X11)
              | ~ c3_1(X11)
              | c1_1(X11) ) ) )
      & ( hskp1
        | ! [X13] :
            ( ndr1_0
           => ( c1_1(X13)
              | c0_1(X13)
              | c3_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c0_1(X14)
              | c2_1(X14)
              | ~ c1_1(X14) ) ) )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | ~ c3_1(X32) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c2_1(X34)
              | ~ c3_1(X34)
              | ~ c1_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c3_1(X33)
              | c0_1(X33) ) ) )
      & ( ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c2_1(X100)
              | ~ c1_1(X100) ) )
        | hskp27
        | ! [X99] :
            ( ndr1_0
           => ( c1_1(X99)
              | ~ c3_1(X99)
              | ~ c2_1(X99) ) ) )
      & ( ~ hskp4
        | ( ~ c1_1(a1975)
          & ndr1_0
          & c0_1(a1975)
          & ~ c2_1(a1975) ) )
      & ( ! [X63] :
            ( ndr1_0
           => ( ~ c1_1(X63)
              | c3_1(X63)
              | c2_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( c3_1(X62)
              | ~ c2_1(X62)
              | c0_1(X62) ) )
        | hskp15 )
      & ( ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | c3_1(X60)
              | c0_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c0_1(X61)
              | c1_1(X61)
              | ~ c3_1(X61) ) )
        | hskp14 )
      & ( hskp14
        | hskp10
        | ! [X116] :
            ( ndr1_0
           => ( ~ c2_1(X116)
              | ~ c1_1(X116)
              | c3_1(X116) ) ) )
      & ( hskp12
        | hskp0
        | ! [X114] :
            ( ndr1_0
           => ( c3_1(X114)
              | ~ c2_1(X114)
              | ~ c0_1(X114) ) ) )
      & ( hskp21
        | hskp18
        | hskp16 )
      & ( hskp15
        | hskp19
        | hskp16 )
      & ( ~ hskp14
        | ( ndr1_0
          & ~ c0_1(a1992)
          & ~ c2_1(a1992)
          & c1_1(a1992) ) )
      & ( ( c3_1(a1970)
          & c2_1(a1970)
          & c1_1(a1970)
          & ndr1_0 )
        | ~ hskp27 )
      & ( hskp6
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | c1_1(X24)
              | c0_1(X24) ) )
        | hskp29 )
      & ( hskp22
        | ! [X93] :
            ( ndr1_0
           => ( c1_1(X93)
              | ~ c3_1(X93)
              | c2_1(X93) ) )
        | hskp2 )
      & ( hskp10
        | hskp1
        | ! [X92] :
            ( ndr1_0
           => ( c2_1(X92)
              | c1_1(X92)
              | ~ c3_1(X92) ) ) )
      & ( ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c0_1(X41)
              | c2_1(X41)
              | ~ c1_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c2_1(X40)
              | c1_1(X40)
              | ~ c0_1(X40) ) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c0_1(X0)
              | c1_1(X0) ) )
        | hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c0_1(X1)
              | c1_1(X1)
              | c2_1(X1) ) ) )
      & ( hskp15
        | ! [X97] :
            ( ndr1_0
           => ( ~ c0_1(X97)
              | ~ c3_1(X97)
              | c1_1(X97) ) )
        | hskp30 )
      & ( ~ hskp12
        | ( ~ c2_1(a1990)
          & ndr1_0
          & ~ c1_1(a1990)
          & c3_1(a1990) ) )
      & ( hskp10
        | ! [X112] :
            ( ndr1_0
           => ( ~ c0_1(X112)
              | ~ c1_1(X112)
              | ~ c3_1(X112) ) )
        | ! [X111] :
            ( ndr1_0
           => ( c3_1(X111)
              | ~ c2_1(X111)
              | ~ c0_1(X111) ) ) )
      & ( hskp10
        | ! [X50] :
            ( ndr1_0
           => ( c2_1(X50)
              | c0_1(X50)
              | ~ c3_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c1_1(X51)
              | c2_1(X51)
              | ~ c0_1(X51) ) ) )
      & ( ! [X120] :
            ( ndr1_0
           => ( ~ c3_1(X120)
              | ~ c1_1(X120)
              | ~ c0_1(X120) ) )
        | hskp26
        | hskp25 )
      & ( hskp27
        | hskp6
        | hskp30 )
      & ( ~ hskp29
        | ( c0_1(a1978)
          & c1_1(a1978)
          & ndr1_0
          & c2_1(a1978) ) )
      & ( ! [X91] :
            ( ndr1_0
           => ( c3_1(X91)
              | ~ c1_1(X91)
              | c2_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( c1_1(X90)
              | ~ c3_1(X90)
              | c2_1(X90) ) )
        | hskp21 )
      & ( hskp2
        | ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | ~ c2_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c2_1(X18)
              | c1_1(X18)
              | c3_1(X18) ) ) )
      & ( hskp12
        | ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | ~ c1_1(X53)
              | c3_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | c0_1(X54)
              | ~ c1_1(X54) ) ) )
      & ( ~ hskp5
        | ( ~ c2_1(a1977)
          & c1_1(a1977)
          & ndr1_0
          & ~ c3_1(a1977) ) )
      & ( hskp17
        | ! [X119] :
            ( ndr1_0
           => ( ~ c1_1(X119)
              | ~ c2_1(X119)
              | ~ c0_1(X119) ) ) )
      & ( ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c1_1(X71)
              | c0_1(X71) ) )
        | hskp18
        | hskp4 )
      & ( ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c0_1(X30)
              | ~ c2_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c2_1(X29)
              | c0_1(X29)
              | ~ c1_1(X29) ) )
        | hskp7 )
      & ( hskp10
        | ! [X101] :
            ( ndr1_0
           => ( c1_1(X101)
              | ~ c3_1(X101)
              | ~ c2_1(X101) ) ) )
      & ( hskp3
        | ! [X118] :
            ( ndr1_0
           => ( ~ c2_1(X118)
              | ~ c0_1(X118)
              | ~ c1_1(X118) ) )
        | hskp8 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f1388,plain,
    ( spl52_33
    | spl52_90 ),
    inference(avatar_split_clause,[],[f303,f746,f492]) ).

fof(f492,plain,
    ( spl52_33
  <=> sP48 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_33])]) ).

fof(f303,plain,
    ! [X106] :
      ( c0_1(X106)
      | ~ c3_1(X106)
      | c2_1(X106)
      | sP48 ),
    inference(cnf_transformation,[],[f303_D]) ).

fof(f303_D,plain,
    ( ! [X106] :
        ( c0_1(X106)
        | ~ c3_1(X106)
        | c2_1(X106) )
  <=> ~ sP48 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP48])]) ).

fof(f1386,plain,
    ( ~ spl52_24
    | spl52_206 ),
    inference(avatar_split_clause,[],[f194,f1383,f453]) ).

fof(f453,plain,
    ( spl52_24
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_24])]) ).

fof(f194,plain,
    ( c1_1(a1972)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1379,plain,
    ( spl52_24
    | spl52_48
    | spl52_13 ),
    inference(avatar_split_clause,[],[f77,f403,f558,f453]) ).

fof(f558,plain,
    ( spl52_48
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_48])]) ).

fof(f403,plain,
    ( spl52_13
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_13])]) ).

fof(f77,plain,
    ( hskp1
    | hskp21
    | hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1377,plain,
    ( ~ spl52_205
    | ~ spl52_131 ),
    inference(avatar_split_clause,[],[f42,f949,f1374]) ).

fof(f949,plain,
    ( spl52_131
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_131])]) ).

fof(f42,plain,
    ( ~ hskp24
    | ~ c0_1(a2031) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1372,plain,
    ( ~ spl52_204
    | ~ spl52_92 ),
    inference(avatar_split_clause,[],[f181,f754,f1369]) ).

fof(f754,plain,
    ( spl52_92
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_92])]) ).

fof(f181,plain,
    ( ~ hskp15
    | ~ c0_1(a1993) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1367,plain,
    ( spl52_109
    | spl52_90 ),
    inference(avatar_split_clause,[],[f251,f746,f835]) ).

fof(f835,plain,
    ( spl52_109
  <=> sP22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_109])]) ).

fof(f251,plain,
    ! [X51] :
      ( ~ c3_1(X51)
      | sP22
      | c2_1(X51)
      | c0_1(X51) ),
    inference(cnf_transformation,[],[f251_D]) ).

fof(f251_D,plain,
    ( ! [X51] :
        ( ~ c3_1(X51)
        | c2_1(X51)
        | c0_1(X51) )
  <=> ~ sP22 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP22])]) ).

fof(f1366,plain,
    ( ~ spl52_155
    | spl52_9
    | spl52_87
    | ~ spl52_10 ),
    inference(avatar_split_clause,[],[f314,f392,f733,f387,f1081]) ).

fof(f1081,plain,
    ( spl52_155
  <=> sP19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_155])]) ).

fof(f387,plain,
    ( spl52_9
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_9])]) ).

fof(f392,plain,
    ( spl52_10
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_10])]) ).

fof(f314,plain,
    ! [X45] :
      ( ~ ndr1_0
      | ~ c3_1(X45)
      | c0_1(X45)
      | hskp12
      | ~ sP19
      | ~ c1_1(X45) ),
    inference(duplicate_literal_removal,[],[f246]) ).

fof(f246,plain,
    ! [X45] :
      ( ~ ndr1_0
      | hskp12
      | ~ sP19
      | ~ c1_1(X45)
      | c0_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f130,f245_D]) ).

fof(f245,plain,
    ! [X46] :
      ( c0_1(X46)
      | c3_1(X46)
      | ~ c1_1(X46)
      | sP19 ),
    inference(cnf_transformation,[],[f245_D]) ).

fof(f245_D,plain,
    ( ! [X46] :
        ( c0_1(X46)
        | c3_1(X46)
        | ~ c1_1(X46) )
  <=> ~ sP19 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP19])]) ).

fof(f130,plain,
    ! [X46,X45] :
      ( hskp12
      | ~ c3_1(X45)
      | c0_1(X45)
      | ~ c1_1(X45)
      | ~ ndr1_0
      | c0_1(X46)
      | ~ ndr1_0
      | ~ c1_1(X46)
      | c3_1(X46) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1365,plain,
    ( spl52_108
    | spl52_23
    | spl52_90
    | ~ spl52_10 ),
    inference(avatar_split_clause,[],[f197,f392,f746,f448,f831]) ).

fof(f831,plain,
    ( spl52_108
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_108])]) ).

fof(f448,plain,
    ( spl52_23
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_23])]) ).

fof(f197,plain,
    ! [X2] :
      ( ~ ndr1_0
      | ~ c3_1(X2)
      | hskp11
      | hskp9
      | c0_1(X2)
      | c2_1(X2) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1363,plain,
    ( spl52_112
    | spl52_52 ),
    inference(avatar_split_clause,[],[f275,f576,f849]) ).

fof(f576,plain,
    ( spl52_52
  <=> sP34 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_52])]) ).

fof(f275,plain,
    ! [X76] :
      ( sP34
      | ~ c1_1(X76)
      | c0_1(X76)
      | c3_1(X76) ),
    inference(cnf_transformation,[],[f275_D]) ).

fof(f275_D,plain,
    ( ! [X76] :
        ( ~ c1_1(X76)
        | c0_1(X76)
        | c3_1(X76) )
  <=> ~ sP34 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP34])]) ).

fof(f1360,plain,
    ( spl52_203
    | ~ spl52_108 ),
    inference(avatar_split_clause,[],[f57,f831,f1357]) ).

fof(f57,plain,
    ( ~ hskp9
    | c1_1(a1985) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1355,plain,
    ( ~ spl52_10
    | ~ spl52_40
    | ~ spl52_115
    | spl52_90 ),
    inference(avatar_split_clause,[],[f318,f746,f863,f523,f392]) ).

fof(f523,plain,
    ( spl52_40
  <=> sP39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_40])]) ).

fof(f863,plain,
    ( spl52_115
  <=> sP38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_115])]) ).

fof(f318,plain,
    ! [X85] :
      ( c0_1(X85)
      | c2_1(X85)
      | ~ sP38
      | ~ c3_1(X85)
      | ~ sP39
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f286]) ).

fof(f286,plain,
    ! [X85] :
      ( c2_1(X85)
      | ~ c3_1(X85)
      | ~ sP38
      | ~ ndr1_0
      | ~ sP39
      | ~ ndr1_0
      | ~ ndr1_0
      | c0_1(X85) ),
    inference(general_splitting,[],[f284,f285_D]) ).

fof(f285,plain,
    ! [X87] :
      ( c2_1(X87)
      | ~ c3_1(X87)
      | c1_1(X87)
      | sP39 ),
    inference(cnf_transformation,[],[f285_D]) ).

fof(f285_D,plain,
    ( ! [X87] :
        ( c2_1(X87)
        | ~ c3_1(X87)
        | c1_1(X87) )
  <=> ~ sP39 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP39])]) ).

fof(f284,plain,
    ! [X87,X85] :
      ( c2_1(X85)
      | c0_1(X85)
      | ~ c3_1(X85)
      | ~ ndr1_0
      | ~ ndr1_0
      | c2_1(X87)
      | c1_1(X87)
      | ~ c3_1(X87)
      | ~ ndr1_0
      | ~ sP38 ),
    inference(general_splitting,[],[f62,f283_D]) ).

fof(f283,plain,
    ! [X86] :
      ( c3_1(X86)
      | ~ c1_1(X86)
      | c2_1(X86)
      | sP38 ),
    inference(cnf_transformation,[],[f283_D]) ).

fof(f283_D,plain,
    ( ! [X86] :
        ( c3_1(X86)
        | ~ c1_1(X86)
        | c2_1(X86) )
  <=> ~ sP38 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP38])]) ).

fof(f62,plain,
    ! [X86,X87,X85] :
      ( c2_1(X85)
      | c0_1(X85)
      | ~ c3_1(X85)
      | ~ ndr1_0
      | ~ ndr1_0
      | c2_1(X86)
      | ~ c1_1(X86)
      | c3_1(X86)
      | c2_1(X87)
      | c1_1(X87)
      | ~ c3_1(X87)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1354,plain,
    ( spl52_202
    | ~ spl52_14 ),
    inference(avatar_split_clause,[],[f120,f408,f1351]) ).

fof(f408,plain,
    ( spl52_14
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_14])]) ).

fof(f120,plain,
    ( ~ hskp13
    | c2_1(a1991) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1339,plain,
    ( ~ spl52_10
    | spl52_85
    | spl52_31
    | spl52_58 ),
    inference(avatar_split_clause,[],[f116,f602,f485,f723,f392]) ).

fof(f723,plain,
    ( spl52_85
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_85])]) ).

fof(f485,plain,
    ( spl52_31
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_31])]) ).

fof(f116,plain,
    ! [X56] :
      ( ~ c1_1(X56)
      | hskp8
      | ~ c2_1(X56)
      | ~ c0_1(X56)
      | hskp3
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1338,plain,
    ( ~ spl52_199
    | ~ spl52_84 ),
    inference(avatar_split_clause,[],[f95,f718,f1335]) ).

fof(f718,plain,
    ( spl52_84
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_84])]) ).

fof(f95,plain,
    ( ~ hskp25
    | ~ c0_1(a2041) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1332,plain,
    ( ~ spl52_198
    | ~ spl52_12 ),
    inference(avatar_split_clause,[],[f27,f399,f1329]) ).

fof(f399,plain,
    ( spl52_12
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_12])]) ).

fof(f27,plain,
    ( ~ hskp10
    | ~ c1_1(a1987) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1315,plain,
    ( spl52_44
    | ~ spl52_10
    | spl52_13
    | spl52_58 ),
    inference(avatar_split_clause,[],[f154,f602,f403,f392,f541]) ).

fof(f541,plain,
    ( spl52_44
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_44])]) ).

fof(f154,plain,
    ! [X26] :
      ( ~ c0_1(X26)
      | hskp1
      | ~ c2_1(X26)
      | ~ ndr1_0
      | hskp4
      | ~ c1_1(X26) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1314,plain,
    ( ~ spl52_93
    | spl52_10 ),
    inference(avatar_split_clause,[],[f140,f392,f758]) ).

fof(f758,plain,
    ( spl52_93
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_93])]) ).

fof(f140,plain,
    ( ndr1_0
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1313,plain,
    ( ~ spl52_141
    | ~ spl52_10
    | ~ spl52_1
    | spl52_43 ),
    inference(avatar_split_clause,[],[f320,f537,f352,f392,f1002]) ).

fof(f1002,plain,
    ( spl52_141
  <=> sP43 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_141])]) ).

fof(f352,plain,
    ( spl52_1
  <=> sP42 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_1])]) ).

fof(f320,plain,
    ! [X95] :
      ( c0_1(X95)
      | ~ sP42
      | c3_1(X95)
      | c1_1(X95)
      | ~ ndr1_0
      | ~ sP43 ),
    inference(duplicate_literal_removal,[],[f294]) ).

fof(f294,plain,
    ! [X95] :
      ( ~ sP43
      | c0_1(X95)
      | ~ ndr1_0
      | ~ ndr1_0
      | c3_1(X95)
      | ~ sP42
      | c1_1(X95)
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f292,f293_D]) ).

fof(f293,plain,
    ! [X97] :
      ( c3_1(X97)
      | ~ c1_1(X97)
      | sP43
      | ~ c2_1(X97) ),
    inference(cnf_transformation,[],[f293_D]) ).

fof(f293_D,plain,
    ( ! [X97] :
        ( c3_1(X97)
        | ~ c1_1(X97)
        | ~ c2_1(X97) )
  <=> ~ sP43 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP43])]) ).

fof(f292,plain,
    ! [X97,X95] :
      ( c0_1(X95)
      | c3_1(X95)
      | ~ ndr1_0
      | c1_1(X95)
      | ~ ndr1_0
      | c3_1(X97)
      | ~ ndr1_0
      | ~ c2_1(X97)
      | ~ c1_1(X97)
      | ~ sP42 ),
    inference(general_splitting,[],[f36,f291_D]) ).

fof(f291,plain,
    ! [X96] :
      ( ~ c2_1(X96)
      | sP42
      | c0_1(X96)
      | c3_1(X96) ),
    inference(cnf_transformation,[],[f291_D]) ).

fof(f291_D,plain,
    ( ! [X96] :
        ( ~ c2_1(X96)
        | c0_1(X96)
        | c3_1(X96) )
  <=> ~ sP42 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP42])]) ).

fof(f36,plain,
    ! [X96,X97,X95] :
      ( c0_1(X95)
      | c3_1(X95)
      | ~ ndr1_0
      | c1_1(X95)
      | c3_1(X96)
      | c0_1(X96)
      | ~ c2_1(X96)
      | ~ ndr1_0
      | c3_1(X97)
      | ~ ndr1_0
      | ~ c2_1(X97)
      | ~ c1_1(X97) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1296,plain,
    ( spl52_23
    | ~ spl52_10
    | spl52_9
    | spl52_51 ),
    inference(avatar_split_clause,[],[f170,f571,f387,f392,f448]) ).

fof(f170,plain,
    ! [X21] :
      ( ~ c1_1(X21)
      | hskp12
      | ~ c3_1(X21)
      | ~ ndr1_0
      | c2_1(X21)
      | hskp11 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1294,plain,
    ( spl52_192
    | ~ spl52_61 ),
    inference(avatar_split_clause,[],[f124,f615,f1291]) ).

fof(f615,plain,
    ( spl52_61
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_61])]) ).

fof(f124,plain,
    ( ~ hskp29
    | c2_1(a1978) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1284,plain,
    ( spl52_190
    | ~ spl52_93 ),
    inference(avatar_split_clause,[],[f139,f758,f1281]) ).

fof(f139,plain,
    ( ~ hskp30
    | c3_1(a2005) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1279,plain,
    ( spl52_182
    | spl52_90 ),
    inference(avatar_split_clause,[],[f239,f746,f1236]) ).

fof(f1236,plain,
    ( spl52_182
  <=> sP16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_182])]) ).

fof(f239,plain,
    ! [X40] :
      ( c2_1(X40)
      | ~ c3_1(X40)
      | c0_1(X40)
      | sP16 ),
    inference(cnf_transformation,[],[f239_D]) ).

fof(f239_D,plain,
    ( ! [X40] :
        ( c2_1(X40)
        | ~ c3_1(X40)
        | c0_1(X40) )
  <=> ~ sP16 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP16])]) ).

fof(f1278,plain,
    ( ~ spl52_189
    | ~ spl52_9 ),
    inference(avatar_split_clause,[],[f33,f387,f1275]) ).

fof(f33,plain,
    ( ~ hskp12
    | ~ c2_1(a1990) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1273,plain,
    ( ~ spl52_20
    | spl52_188 ),
    inference(avatar_split_clause,[],[f200,f1270,f434]) ).

fof(f434,plain,
    ( spl52_20
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_20])]) ).

fof(f200,plain,
    ( c2_1(a1970)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1268,plain,
    ( ~ spl52_10
    | spl52_131
    | spl52_84
    | spl52_77 ),
    inference(avatar_split_clause,[],[f165,f689,f718,f949,f392]) ).

fof(f165,plain,
    ! [X22] :
      ( ~ c0_1(X22)
      | c3_1(X22)
      | ~ c2_1(X22)
      | hskp25
      | hskp24
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1267,plain,
    ( ~ spl52_106
    | ~ spl52_10
    | spl52_92
    | spl52_2 ),
    inference(avatar_split_clause,[],[f322,f356,f754,f392,f823]) ).

fof(f823,plain,
    ( spl52_106
  <=> sP50 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_106])]) ).

fof(f322,plain,
    ! [X119] :
      ( c0_1(X119)
      | hskp15
      | c3_1(X119)
      | ~ ndr1_0
      | ~ sP50
      | ~ c2_1(X119) ),
    inference(duplicate_literal_removal,[],[f308]) ).

fof(f308,plain,
    ! [X119] :
      ( ~ ndr1_0
      | ~ c2_1(X119)
      | ~ sP50
      | hskp15
      | c3_1(X119)
      | ~ ndr1_0
      | c0_1(X119) ),
    inference(general_splitting,[],[f9,f307_D]) ).

fof(f307,plain,
    ! [X118] :
      ( c2_1(X118)
      | sP50
      | ~ c1_1(X118)
      | c3_1(X118) ),
    inference(cnf_transformation,[],[f307_D]) ).

fof(f307_D,plain,
    ( ! [X118] :
        ( c2_1(X118)
        | ~ c1_1(X118)
        | c3_1(X118) )
  <=> ~ sP50 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP50])]) ).

fof(f9,plain,
    ! [X118,X119] :
      ( c2_1(X118)
      | c3_1(X118)
      | ~ c1_1(X118)
      | ~ ndr1_0
      | hskp15
      | ~ ndr1_0
      | ~ c2_1(X119)
      | c0_1(X119)
      | c3_1(X119) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1261,plain,
    ( ~ spl52_10
    | spl52_20
    | spl52_44
    | spl52_73 ),
    inference(avatar_split_clause,[],[f69,f670,f541,f434,f392]) ).

fof(f69,plain,
    ! [X79] :
      ( c0_1(X79)
      | c1_1(X79)
      | ~ c2_1(X79)
      | hskp4
      | hskp27
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1260,plain,
    ( spl52_186
    | ~ spl52_93 ),
    inference(avatar_split_clause,[],[f142,f758,f1257]) ).

fof(f142,plain,
    ( ~ hskp30
    | c2_1(a2005) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1254,plain,
    ( spl52_185
    | ~ spl52_48 ),
    inference(avatar_split_clause,[],[f49,f558,f1251]) ).

fof(f49,plain,
    ( ~ hskp21
    | c2_1(a2009) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1244,plain,
    ( ~ spl52_12
    | spl52_183 ),
    inference(avatar_split_clause,[],[f25,f1241,f399]) ).

fof(f25,plain,
    ( c3_1(a1987)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1239,plain,
    ( ~ spl52_182
    | spl52_12
    | ~ spl52_10
    | spl52_54 ),
    inference(avatar_split_clause,[],[f323,f584,f392,f399,f1236]) ).

fof(f323,plain,
    ! [X39] :
      ( ~ c0_1(X39)
      | ~ ndr1_0
      | hskp10
      | ~ sP16
      | ~ c1_1(X39)
      | c2_1(X39) ),
    inference(duplicate_literal_removal,[],[f240]) ).

fof(f240,plain,
    ! [X39] :
      ( c2_1(X39)
      | ~ ndr1_0
      | ~ c0_1(X39)
      | hskp10
      | ~ sP16
      | ~ c1_1(X39)
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f133,f239_D]) ).

fof(f133,plain,
    ! [X40,X39] :
      ( c2_1(X39)
      | ~ c1_1(X39)
      | ~ c0_1(X39)
      | ~ ndr1_0
      | hskp10
      | c2_1(X40)
      | c0_1(X40)
      | ~ ndr1_0
      | ~ c3_1(X40) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1234,plain,
    ( spl52_181
    | ~ spl52_95 ),
    inference(avatar_split_clause,[],[f14,f768,f1231]) ).

fof(f768,plain,
    ( spl52_95
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_95])]) ).

fof(f14,plain,
    ( ~ hskp17
    | c3_1(a1998) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1228,plain,
    ( ~ spl52_108
    | ~ spl52_180 ),
    inference(avatar_split_clause,[],[f54,f1225,f831]) ).

fof(f54,plain,
    ( ~ c0_1(a1985)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1223,plain,
    ( ~ spl52_65
    | spl52_179 ),
    inference(avatar_split_clause,[],[f109,f1220,f634]) ).

fof(f634,plain,
    ( spl52_65
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_65])]) ).

fof(f109,plain,
    ( c1_1(a1977)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1213,plain,
    ( spl52_13
    | ~ spl52_10
    | spl52_54
    | ~ spl52_70 ),
    inference(avatar_split_clause,[],[f325,f655,f584,f392,f403]) ).

fof(f655,plain,
    ( spl52_70
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_70])]) ).

fof(f325,plain,
    ! [X1] :
      ( ~ sP0
      | ~ c0_1(X1)
      | ~ ndr1_0
      | c2_1(X1)
      | hskp1
      | ~ c1_1(X1) ),
    inference(duplicate_literal_removal,[],[f208]) ).

fof(f208,plain,
    ! [X1] :
      ( ~ sP0
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | hskp1
      | c2_1(X1)
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f202,f207_D]) ).

fof(f207,plain,
    ! [X0] :
      ( c1_1(X0)
      | c3_1(X0)
      | sP0
      | c0_1(X0) ),
    inference(cnf_transformation,[],[f207_D]) ).

fof(f207_D,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
  <=> ~ sP0 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f202,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp1
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | c2_1(X1) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1212,plain,
    ( spl52_177
    | ~ spl52_14 ),
    inference(avatar_split_clause,[],[f117,f408,f1209]) ).

fof(f117,plain,
    ( ~ hskp13
    | c0_1(a1991) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1207,plain,
    ( spl52_176
    | ~ spl52_26 ),
    inference(avatar_split_clause,[],[f112,f462,f1204]) ).

fof(f462,plain,
    ( spl52_26
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_26])]) ).

fof(f112,plain,
    ( ~ hskp6
    | c3_1(a1979) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1202,plain,
    ( spl52_93
    | ~ spl52_10
    | spl52_65
    | spl52_45 ),
    inference(avatar_split_clause,[],[f19,f545,f634,f392,f758]) ).

fof(f19,plain,
    ! [X112] :
      ( ~ c0_1(X112)
      | c1_1(X112)
      | c2_1(X112)
      | hskp5
      | ~ ndr1_0
      | hskp30 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1201,plain,
    ( spl52_175
    | ~ spl52_31 ),
    inference(avatar_split_clause,[],[f61,f485,f1198]) ).

fof(f61,plain,
    ( ~ hskp8
    | c3_1(a1983) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1195,plain,
    ( spl52_44
    | spl52_23
    | ~ spl52_10
    | spl52_29 ),
    inference(avatar_split_clause,[],[f22,f476,f392,f448,f541]) ).

fof(f22,plain,
    ! [X108] :
      ( ~ c3_1(X108)
      | ~ ndr1_0
      | hskp11
      | ~ c1_1(X108)
      | hskp4
      | ~ c2_1(X108) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1193,plain,
    ( ~ spl52_68
    | spl52_174 ),
    inference(avatar_split_clause,[],[f37,f1190,f646]) ).

fof(f646,plain,
    ( spl52_68
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_68])]) ).

fof(f37,plain,
    ( c1_1(a1992)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1181,plain,
    ( ~ spl52_30
    | spl52_68
    | ~ spl52_10
    | spl52_89 ),
    inference(avatar_split_clause,[],[f326,f742,f392,f646,f480]) ).

fof(f480,plain,
    ( spl52_30
  <=> sP25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_30])]) ).

fof(f326,plain,
    ! [X61] :
      ( c1_1(X61)
      | ~ ndr1_0
      | hskp14
      | ~ sP25
      | ~ c3_1(X61)
      | ~ c0_1(X61) ),
    inference(duplicate_literal_removal,[],[f258]) ).

fof(f258,plain,
    ! [X61] :
      ( ~ c0_1(X61)
      | ~ ndr1_0
      | c1_1(X61)
      | ~ c3_1(X61)
      | ~ sP25
      | ~ ndr1_0
      | hskp14 ),
    inference(general_splitting,[],[f105,f257_D]) ).

fof(f257,plain,
    ! [X60] :
      ( sP25
      | ~ c2_1(X60)
      | c0_1(X60)
      | c3_1(X60) ),
    inference(cnf_transformation,[],[f257_D]) ).

fof(f257_D,plain,
    ( ! [X60] :
        ( ~ c2_1(X60)
        | c0_1(X60)
        | c3_1(X60) )
  <=> ~ sP25 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP25])]) ).

fof(f105,plain,
    ! [X60,X61] :
      ( hskp14
      | ~ ndr1_0
      | c0_1(X60)
      | ~ c2_1(X60)
      | c3_1(X60)
      | ~ c3_1(X61)
      | ~ ndr1_0
      | c1_1(X61)
      | ~ c0_1(X61) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1168,plain,
    ( spl52_170
    | ~ spl52_44 ),
    inference(avatar_split_clause,[],[f65,f541,f1165]) ).

fof(f65,plain,
    ( ~ hskp4
    | c0_1(a1975) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1163,plain,
    ( ~ spl52_26
    | ~ spl52_169 ),
    inference(avatar_split_clause,[],[f111,f1160,f462]) ).

fof(f111,plain,
    ( ~ c2_1(a1979)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1152,plain,
    ( ~ spl52_65
    | ~ spl52_167 ),
    inference(avatar_split_clause,[],[f110,f1149,f634]) ).

fof(f110,plain,
    ( ~ c2_1(a1977)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1147,plain,
    ( spl52_166
    | ~ spl52_95 ),
    inference(avatar_split_clause,[],[f16,f768,f1144]) ).

fof(f16,plain,
    ( ~ hskp17
    | c1_1(a1998) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1132,plain,
    ( ~ spl52_79
    | ~ spl52_153
    | ~ spl52_10
    | spl52_51 ),
    inference(avatar_split_clause,[],[f329,f571,f392,f1071,f697]) ).

fof(f697,plain,
    ( spl52_79
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_79])]) ).

fof(f1071,plain,
    ( spl52_153
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_153])]) ).

fof(f329,plain,
    ! [X5] :
      ( c2_1(X5)
      | ~ c3_1(X5)
      | ~ c1_1(X5)
      | ~ ndr1_0
      | ~ sP1
      | ~ sP2 ),
    inference(duplicate_literal_removal,[],[f212]) ).

fof(f212,plain,
    ! [X5] :
      ( c2_1(X5)
      | ~ ndr1_0
      | ~ c3_1(X5)
      | ~ sP2
      | ~ c1_1(X5)
      | ~ sP1
      | ~ ndr1_0
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f210,f211_D]) ).

fof(f211,plain,
    ! [X4] :
      ( c1_1(X4)
      | sP2
      | ~ c2_1(X4)
      | ~ c3_1(X4) ),
    inference(cnf_transformation,[],[f211_D]) ).

fof(f211_D,plain,
    ( ! [X4] :
        ( c1_1(X4)
        | ~ c2_1(X4)
        | ~ c3_1(X4) )
  <=> ~ sP2 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).

fof(f210,plain,
    ! [X4,X5] :
      ( ~ ndr1_0
      | ~ ndr1_0
      | ~ c2_1(X4)
      | c1_1(X4)
      | ~ c3_1(X4)
      | ~ ndr1_0
      | c2_1(X5)
      | ~ c3_1(X5)
      | ~ c1_1(X5)
      | ~ sP1 ),
    inference(general_splitting,[],[f192,f209_D]) ).

fof(f209,plain,
    ! [X3] :
      ( c1_1(X3)
      | c2_1(X3)
      | ~ c0_1(X3)
      | sP1 ),
    inference(cnf_transformation,[],[f209_D]) ).

fof(f209_D,plain,
    ( ! [X3] :
        ( c1_1(X3)
        | c2_1(X3)
        | ~ c0_1(X3) )
  <=> ~ sP1 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f192,plain,
    ! [X3,X4,X5] :
      ( ~ ndr1_0
      | c1_1(X3)
      | ~ c0_1(X3)
      | c2_1(X3)
      | ~ ndr1_0
      | ~ c2_1(X4)
      | c1_1(X4)
      | ~ c3_1(X4)
      | ~ ndr1_0
      | c2_1(X5)
      | ~ c3_1(X5)
      | ~ c1_1(X5) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1126,plain,
    ( spl52_101
    | spl52_94 ),
    inference(avatar_split_clause,[],[f265,f763,f798]) ).

fof(f763,plain,
    ( spl52_94
  <=> sP29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_94])]) ).

fof(f265,plain,
    ! [X70] :
      ( sP29
      | ~ c3_1(X70)
      | ~ c2_1(X70)
      | c0_1(X70) ),
    inference(cnf_transformation,[],[f265_D]) ).

fof(f265_D,plain,
    ( ! [X70] :
        ( ~ c3_1(X70)
        | ~ c2_1(X70)
        | c0_1(X70) )
  <=> ~ sP29 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP29])]) ).

fof(f1124,plain,
    ( spl52_63
    | spl52_80 ),
    inference(avatar_split_clause,[],[f223,f701,f625]) ).

fof(f625,plain,
    ( spl52_63
  <=> sP8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_63])]) ).

fof(f223,plain,
    ! [X18] :
      ( ~ c3_1(X18)
      | c1_1(X18)
      | ~ c2_1(X18)
      | sP8 ),
    inference(cnf_transformation,[],[f223_D]) ).

fof(f223_D,plain,
    ( ! [X18] :
        ( ~ c3_1(X18)
        | c1_1(X18)
        | ~ c2_1(X18) )
  <=> ~ sP8 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP8])]) ).

fof(f1123,plain,
    ( spl52_162
    | ~ spl52_49 ),
    inference(avatar_split_clause,[],[f73,f562,f1120]) ).

fof(f562,plain,
    ( spl52_49
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_49])]) ).

fof(f73,plain,
    ( ~ hskp16
    | c0_1(a1996) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1117,plain,
    ( ~ spl52_65
    | ~ spl52_161 ),
    inference(avatar_split_clause,[],[f107,f1114,f634]) ).

fof(f107,plain,
    ( ~ c3_1(a1977)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1112,plain,
    ( spl52_20
    | ~ spl52_10
    | ~ spl52_42
    | spl52_104 ),
    inference(avatar_split_clause,[],[f330,f813,f533,f392,f434]) ).

fof(f533,plain,
    ( spl52_42
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_42])]) ).

fof(f330,plain,
    ! [X7] :
      ( c2_1(X7)
      | ~ sP3
      | c0_1(X7)
      | ~ ndr1_0
      | c3_1(X7)
      | hskp27 ),
    inference(duplicate_literal_removal,[],[f214]) ).

fof(f214,plain,
    ! [X7] :
      ( c3_1(X7)
      | ~ ndr1_0
      | c2_1(X7)
      | ~ sP3
      | ~ ndr1_0
      | c0_1(X7)
      | hskp27 ),
    inference(general_splitting,[],[f191,f213_D]) ).

fof(f213,plain,
    ! [X6] :
      ( c0_1(X6)
      | c3_1(X6)
      | sP3
      | c1_1(X6) ),
    inference(cnf_transformation,[],[f213_D]) ).

fof(f213_D,plain,
    ( ! [X6] :
        ( c0_1(X6)
        | c3_1(X6)
        | c1_1(X6) )
  <=> ~ sP3 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).

fof(f191,plain,
    ! [X6,X7] :
      ( c3_1(X6)
      | ~ ndr1_0
      | c1_1(X6)
      | c0_1(X6)
      | c2_1(X7)
      | c3_1(X7)
      | c0_1(X7)
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1109,plain,
    ( spl52_14
    | spl52_95
    | spl52_87
    | ~ spl52_10 ),
    inference(avatar_split_clause,[],[f12,f392,f733,f768,f408]) ).

fof(f12,plain,
    ! [X115] :
      ( ~ ndr1_0
      | ~ c3_1(X115)
      | hskp17
      | hskp13
      | ~ c1_1(X115)
      | c0_1(X115) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1103,plain,
    ( spl52_123
    | spl52_43 ),
    inference(avatar_split_clause,[],[f269,f537,f906]) ).

fof(f906,plain,
    ( spl52_123
  <=> sP31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_123])]) ).

fof(f269,plain,
    ! [X73] :
      ( c3_1(X73)
      | c1_1(X73)
      | sP31
      | c0_1(X73) ),
    inference(cnf_transformation,[],[f269_D]) ).

fof(f269_D,plain,
    ( ! [X73] :
        ( c3_1(X73)
        | c1_1(X73)
        | c0_1(X73) )
  <=> ~ sP31 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP31])]) ).

fof(f1094,plain,
    ( ~ spl52_157
    | ~ spl52_131 ),
    inference(avatar_split_clause,[],[f43,f949,f1091]) ).

fof(f43,plain,
    ( ~ hskp24
    | ~ c2_1(a2031) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1089,plain,
    ( ~ spl52_9
    | ~ spl52_156 ),
    inference(avatar_split_clause,[],[f31,f1086,f387]) ).

fof(f31,plain,
    ( ~ c1_1(a1990)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1084,plain,
    ( spl52_155
    | spl52_112 ),
    inference(avatar_split_clause,[],[f245,f849,f1081]) ).

fof(f1079,plain,
    ( ~ spl52_154
    | ~ spl52_68 ),
    inference(avatar_split_clause,[],[f38,f646,f1076]) ).

fof(f38,plain,
    ( ~ hskp14
    | ~ c2_1(a1992) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1074,plain,
    ( spl52_153
    | spl52_45 ),
    inference(avatar_split_clause,[],[f209,f545,f1071]) ).

fof(f1066,plain,
    ( spl52_56
    | spl52_29 ),
    inference(avatar_split_clause,[],[f263,f476,f593]) ).

fof(f593,plain,
    ( spl52_56
  <=> sP28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_56])]) ).

fof(f263,plain,
    ! [X68] :
      ( ~ c1_1(X68)
      | ~ c2_1(X68)
      | ~ c3_1(X68)
      | sP28 ),
    inference(cnf_transformation,[],[f263_D]) ).

fof(f263_D,plain,
    ( ! [X68] :
        ( ~ c1_1(X68)
        | ~ c2_1(X68)
        | ~ c3_1(X68) )
  <=> ~ sP28 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP28])]) ).

fof(f1065,plain,
    ( spl52_47
    | ~ spl52_10
    | spl52_87
    | spl52_44 ),
    inference(avatar_split_clause,[],[f48,f541,f733,f392,f554]) ).

fof(f48,plain,
    ! [X89] :
      ( hskp4
      | ~ c3_1(X89)
      | ~ ndr1_0
      | ~ c1_1(X89)
      | hskp18
      | c0_1(X89) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1059,plain,
    ( ~ spl52_10
    | spl52_58
    | spl52_95 ),
    inference(avatar_split_clause,[],[f176,f768,f602,f392]) ).

fof(f176,plain,
    ! [X19] :
      ( hskp17
      | ~ c0_1(X19)
      | ~ ndr1_0
      | ~ c1_1(X19)
      | ~ c2_1(X19) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1053,plain,
    ( spl52_12
    | ~ spl52_10
    | spl52_23
    | spl52_32 ),
    inference(avatar_split_clause,[],[f148,f489,f448,f392,f399]) ).

fof(f148,plain,
    ! [X35] :
      ( ~ c0_1(X35)
      | hskp11
      | ~ c2_1(X35)
      | c1_1(X35)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1052,plain,
    ( spl52_150
    | ~ spl52_61 ),
    inference(avatar_split_clause,[],[f127,f615,f1049]) ).

fof(f127,plain,
    ( ~ hskp29
    | c0_1(a1978) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1047,plain,
    ( spl52_77
    | spl52_67 ),
    inference(avatar_split_clause,[],[f219,f641,f689]) ).

fof(f641,plain,
    ( spl52_67
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_67])]) ).

fof(f219,plain,
    ! [X12] :
      ( sP6
      | ~ c2_1(X12)
      | ~ c0_1(X12)
      | c3_1(X12) ),
    inference(cnf_transformation,[],[f219_D]) ).

fof(f219_D,plain,
    ( ! [X12] :
        ( ~ c2_1(X12)
        | ~ c0_1(X12)
        | c3_1(X12) )
  <=> ~ sP6 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP6])]) ).

fof(f1046,plain,
    ( ~ spl52_84
    | ~ spl52_149 ),
    inference(avatar_split_clause,[],[f92,f1043,f718]) ).

fof(f92,plain,
    ( ~ c2_1(a2041)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1041,plain,
    ( spl52_122
    | spl52_32 ),
    inference(avatar_split_clause,[],[f271,f489,f902]) ).

fof(f902,plain,
    ( spl52_122
  <=> sP32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_122])]) ).

fof(f271,plain,
    ! [X74] :
      ( ~ c0_1(X74)
      | ~ c2_1(X74)
      | sP32
      | c1_1(X74) ),
    inference(cnf_transformation,[],[f271_D]) ).

fof(f271_D,plain,
    ( ! [X74] :
        ( ~ c0_1(X74)
        | ~ c2_1(X74)
        | c1_1(X74) )
  <=> ~ sP32 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP32])]) ).

fof(f1039,plain,
    ( ~ spl52_10
    | ~ spl52_72
    | spl52_54
    | spl52_85 ),
    inference(avatar_split_clause,[],[f332,f723,f584,f666,f392]) ).

fof(f666,plain,
    ( spl52_72
  <=> sP26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_72])]) ).

fof(f332,plain,
    ! [X64] :
      ( hskp3
      | ~ c1_1(X64)
      | ~ c0_1(X64)
      | c2_1(X64)
      | ~ sP26
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f260]) ).

fof(f260,plain,
    ! [X64] :
      ( ~ ndr1_0
      | ~ c0_1(X64)
      | ~ ndr1_0
      | ~ sP26
      | ~ c1_1(X64)
      | hskp3
      | c2_1(X64) ),
    inference(general_splitting,[],[f83,f259_D]) ).

fof(f259,plain,
    ! [X63] :
      ( c1_1(X63)
      | sP26
      | ~ c2_1(X63)
      | c0_1(X63) ),
    inference(cnf_transformation,[],[f259_D]) ).

fof(f259_D,plain,
    ( ! [X63] :
        ( c1_1(X63)
        | ~ c2_1(X63)
        | c0_1(X63) )
  <=> ~ sP26 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP26])]) ).

fof(f83,plain,
    ! [X63,X64] :
      ( ~ ndr1_0
      | c0_1(X63)
      | c1_1(X63)
      | ~ c2_1(X63)
      | hskp3
      | c2_1(X64)
      | ~ c1_1(X64)
      | ~ c0_1(X64)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1038,plain,
    ( ~ spl52_93
    | spl52_148 ),
    inference(avatar_split_clause,[],[f141,f1035,f758]) ).

fof(f141,plain,
    ( c0_1(a2005)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1032,plain,
    ( ~ spl52_44
    | ~ spl52_147 ),
    inference(avatar_split_clause,[],[f67,f1029,f541]) ).

fof(f67,plain,
    ( ~ c1_1(a1975)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1027,plain,
    ( ~ spl52_20
    | spl52_10 ),
    inference(avatar_split_clause,[],[f198,f392,f434]) ).

fof(f198,plain,
    ( ndr1_0
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1013,plain,
    ( spl52_143
    | ~ spl52_20 ),
    inference(avatar_split_clause,[],[f199,f434,f1010]) ).

fof(f199,plain,
    ( ~ hskp27
    | c1_1(a1970) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1008,plain,
    ( spl52_141
    | spl52_142 ),
    inference(avatar_split_clause,[],[f293,f1006,f1002]) ).

fof(f992,plain,
    ( spl52_65
    | spl52_18
    | spl52_31 ),
    inference(avatar_split_clause,[],[f76,f485,f425,f634]) ).

fof(f425,plain,
    ( spl52_18
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_18])]) ).

fof(f76,plain,
    ( hskp8
    | hskp23
    | hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f991,plain,
    ( ~ spl52_26
    | ~ spl52_139 ),
    inference(avatar_split_clause,[],[f114,f988,f462]) ).

fof(f114,plain,
    ( ~ c0_1(a1979)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f978,plain,
    ( spl52_53
    | spl52_58 ),
    inference(avatar_split_clause,[],[f273,f602,f580]) ).

fof(f580,plain,
    ( spl52_53
  <=> sP33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_53])]) ).

fof(f273,plain,
    ! [X78] :
      ( ~ c1_1(X78)
      | ~ c2_1(X78)
      | ~ c0_1(X78)
      | sP33 ),
    inference(cnf_transformation,[],[f273_D]) ).

fof(f273_D,plain,
    ( ! [X78] :
        ( ~ c1_1(X78)
        | ~ c2_1(X78)
        | ~ c0_1(X78) )
  <=> ~ sP33 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP33])]) ).

fof(f977,plain,
    ( ~ spl52_136
    | ~ spl52_108 ),
    inference(avatar_split_clause,[],[f56,f831,f974]) ).

fof(f56,plain,
    ( ~ hskp9
    | ~ c3_1(a1985) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f967,plain,
    ( ~ spl52_13
    | spl52_134 ),
    inference(avatar_split_clause,[],[f145,f964,f403]) ).

fof(f145,plain,
    ( c0_1(a1971)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f961,plain,
    ( ~ spl52_13
    | ~ spl52_133 ),
    inference(avatar_split_clause,[],[f147,f958,f403]) ).

fof(f147,plain,
    ( ~ c1_1(a1971)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f956,plain,
    ( ~ spl52_131
    | ~ spl52_132 ),
    inference(avatar_split_clause,[],[f44,f953,f949]) ).

fof(f44,plain,
    ( ~ c1_1(a2031)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f946,plain,
    ( spl52_130
    | ~ spl52_12 ),
    inference(avatar_split_clause,[],[f28,f399,f943]) ).

fof(f28,plain,
    ( ~ hskp10
    | c2_1(a1987) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f941,plain,
    ( spl52_129
    | ~ spl52_61 ),
    inference(avatar_split_clause,[],[f126,f615,f938]) ).

fof(f126,plain,
    ( ~ hskp29
    | c1_1(a1978) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f936,plain,
    ( spl52_61
    | ~ spl52_91
    | spl52_87
    | ~ spl52_10 ),
    inference(avatar_split_clause,[],[f333,f392,f733,f749,f615]) ).

fof(f749,plain,
    ( spl52_91
  <=> sP7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_91])]) ).

fof(f333,plain,
    ! [X15] :
      ( ~ ndr1_0
      | c0_1(X15)
      | ~ sP7
      | ~ c1_1(X15)
      | ~ c3_1(X15)
      | hskp29 ),
    inference(duplicate_literal_removal,[],[f222]) ).

fof(f222,plain,
    ! [X15] :
      ( ~ ndr1_0
      | ~ ndr1_0
      | ~ c3_1(X15)
      | ~ sP7
      | c0_1(X15)
      | ~ c1_1(X15)
      | hskp29 ),
    inference(general_splitting,[],[f178,f221_D]) ).

fof(f221,plain,
    ! [X14] :
      ( sP7
      | ~ c3_1(X14)
      | c0_1(X14)
      | c2_1(X14) ),
    inference(cnf_transformation,[],[f221_D]) ).

fof(f221_D,plain,
    ( ! [X14] :
        ( ~ c3_1(X14)
        | c0_1(X14)
        | c2_1(X14) )
  <=> ~ sP7 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP7])]) ).

fof(f178,plain,
    ! [X14,X15] :
      ( ~ ndr1_0
      | c0_1(X14)
      | ~ c3_1(X14)
      | c2_1(X14)
      | ~ ndr1_0
      | c0_1(X15)
      | ~ c1_1(X15)
      | ~ c3_1(X15)
      | hskp29 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f935,plain,
    ( spl52_59
    | spl52_90 ),
    inference(avatar_split_clause,[],[f289,f746,f605]) ).

fof(f605,plain,
    ( spl52_59
  <=> sP41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_59])]) ).

fof(f289,plain,
    ! [X92] :
      ( ~ c3_1(X92)
      | c0_1(X92)
      | sP41
      | c2_1(X92) ),
    inference(cnf_transformation,[],[f289_D]) ).

fof(f289_D,plain,
    ( ! [X92] :
        ( ~ c3_1(X92)
        | c0_1(X92)
        | c2_1(X92) )
  <=> ~ sP41 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP41])]) ).

fof(f934,plain,
    ( ~ spl52_23
    | ~ spl52_128 ),
    inference(avatar_split_clause,[],[f173,f931,f448]) ).

fof(f173,plain,
    ( ~ c0_1(a1989)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f929,plain,
    ( ~ spl52_92
    | ~ spl52_127 ),
    inference(avatar_split_clause,[],[f182,f926,f754]) ).

fof(f182,plain,
    ( ~ c1_1(a1993)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f924,plain,
    ( ~ spl52_84
    | ~ spl52_126 ),
    inference(avatar_split_clause,[],[f94,f921,f718]) ).

fof(f94,plain,
    ( ~ c3_1(a2041)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f919,plain,
    ( ~ spl52_49
    | ~ spl52_125 ),
    inference(avatar_split_clause,[],[f72,f916,f562]) ).

fof(f72,plain,
    ( ~ c2_1(a1996)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f914,plain,
    ( ~ spl52_124
    | ~ spl52_48 ),
    inference(avatar_split_clause,[],[f52,f558,f911]) ).

fof(f52,plain,
    ( ~ hskp21
    | ~ c3_1(a2009) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f909,plain,
    ( ~ spl52_122
    | ~ spl52_123
    | spl52_11
    | ~ spl52_10 ),
    inference(avatar_split_clause,[],[f334,f392,f396,f906,f902]) ).

fof(f334,plain,
    ! [X75] :
      ( ~ ndr1_0
      | c1_1(X75)
      | ~ sP31
      | ~ c3_1(X75)
      | c2_1(X75)
      | ~ sP32 ),
    inference(duplicate_literal_removal,[],[f272]) ).

fof(f272,plain,
    ! [X75] :
      ( ~ ndr1_0
      | ~ ndr1_0
      | ~ ndr1_0
      | c1_1(X75)
      | ~ sP32
      | ~ sP31
      | ~ c3_1(X75)
      | c2_1(X75) ),
    inference(general_splitting,[],[f270,f271_D]) ).

fof(f270,plain,
    ! [X74,X75] :
      ( ~ ndr1_0
      | c1_1(X74)
      | ~ c2_1(X74)
      | ~ ndr1_0
      | ~ c0_1(X74)
      | c2_1(X75)
      | ~ ndr1_0
      | ~ c3_1(X75)
      | c1_1(X75)
      | ~ sP31 ),
    inference(general_splitting,[],[f71,f269_D]) ).

fof(f71,plain,
    ! [X73,X74,X75] :
      ( c0_1(X73)
      | c1_1(X73)
      | c3_1(X73)
      | ~ ndr1_0
      | c1_1(X74)
      | ~ c2_1(X74)
      | ~ ndr1_0
      | ~ c0_1(X74)
      | c2_1(X75)
      | ~ ndr1_0
      | ~ c3_1(X75)
      | c1_1(X75) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f900,plain,
    ( spl52_121
    | ~ spl52_18 ),
    inference(avatar_split_clause,[],[f156,f425,f897]) ).

fof(f156,plain,
    ( ~ hskp23
    | c0_1(a2014) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f889,plain,
    ( spl52_64
    | spl52_32 ),
    inference(avatar_split_clause,[],[f225,f489,f629]) ).

fof(f629,plain,
    ( spl52_64
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_64])]) ).

fof(f225,plain,
    ! [X16] :
      ( ~ c2_1(X16)
      | c1_1(X16)
      | ~ c0_1(X16)
      | sP9 ),
    inference(cnf_transformation,[],[f225_D]) ).

fof(f225_D,plain,
    ( ! [X16] :
        ( ~ c2_1(X16)
        | c1_1(X16)
        | ~ c0_1(X16) )
  <=> ~ sP9 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP9])]) ).

fof(f887,plain,
    ( spl52_26
    | spl52_93
    | spl52_20 ),
    inference(avatar_split_clause,[],[f143,f434,f758,f462]) ).

fof(f143,plain,
    ( hskp27
    | hskp30
    | hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f881,plain,
    ( spl52_90
    | spl52_105 ),
    inference(avatar_split_clause,[],[f277,f818,f746]) ).

fof(f818,plain,
    ( spl52_105
  <=> sP35 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_105])]) ).

fof(f277,plain,
    ! [X82] :
      ( sP35
      | c0_1(X82)
      | c2_1(X82)
      | ~ c3_1(X82) ),
    inference(cnf_transformation,[],[f277_D]) ).

fof(f277_D,plain,
    ( ! [X82] :
        ( c0_1(X82)
        | c2_1(X82)
        | ~ c3_1(X82) )
  <=> ~ sP35 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP35])]) ).

fof(f880,plain,
    ( spl52_118
    | ~ spl52_85 ),
    inference(avatar_split_clause,[],[f89,f723,f877]) ).

fof(f89,plain,
    ( ~ hskp3
    | c2_1(a1974) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f875,plain,
    ( ~ spl52_117
    | ~ spl52_44 ),
    inference(avatar_split_clause,[],[f64,f541,f872]) ).

fof(f64,plain,
    ( ~ hskp4
    | ~ c2_1(a1975) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f870,plain,
    ( spl52_18
    | ~ spl52_10
    | spl52_26
    | spl52_116 ),
    inference(avatar_split_clause,[],[f164,f868,f462,f392,f425]) ).

fof(f164,plain,
    ! [X23] :
      ( c3_1(X23)
      | hskp6
      | ~ c2_1(X23)
      | ~ ndr1_0
      | c1_1(X23)
      | hskp23 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f866,plain,
    ( spl52_115
    | spl52_107 ),
    inference(avatar_split_clause,[],[f283,f827,f863]) ).

fof(f851,plain,
    ( spl52_75
    | spl52_112 ),
    inference(avatar_split_clause,[],[f299,f849,f678]) ).

fof(f678,plain,
    ( spl52_75
  <=> sP46 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_75])]) ).

fof(f299,plain,
    ! [X104] :
      ( ~ c1_1(X104)
      | c0_1(X104)
      | c3_1(X104)
      | sP46 ),
    inference(cnf_transformation,[],[f299_D]) ).

fof(f299_D,plain,
    ( ! [X104] :
        ( ~ c1_1(X104)
        | c0_1(X104)
        | c3_1(X104) )
  <=> ~ sP46 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP46])]) ).

fof(f838,plain,
    ( spl52_108
    | ~ spl52_10
    | ~ spl52_109
    | spl52_101 ),
    inference(avatar_split_clause,[],[f337,f798,f835,f392,f831]) ).

fof(f337,plain,
    ! [X52] :
      ( c0_1(X52)
      | ~ sP22
      | ~ c2_1(X52)
      | ~ ndr1_0
      | hskp9
      | ~ c3_1(X52) ),
    inference(duplicate_literal_removal,[],[f252]) ).

fof(f252,plain,
    ! [X52] :
      ( ~ ndr1_0
      | hskp9
      | ~ c3_1(X52)
      | ~ ndr1_0
      | ~ c2_1(X52)
      | ~ sP22
      | c0_1(X52) ),
    inference(general_splitting,[],[f123,f251_D]) ).

fof(f123,plain,
    ! [X51,X52] :
      ( ~ c3_1(X51)
      | c0_1(X51)
      | c2_1(X51)
      | ~ ndr1_0
      | hskp9
      | c0_1(X52)
      | ~ ndr1_0
      | ~ c2_1(X52)
      | ~ c3_1(X52) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f829,plain,
    ( spl52_106
    | spl52_107 ),
    inference(avatar_split_clause,[],[f307,f827,f823]) ).

fof(f821,plain,
    ( ~ spl52_105
    | ~ spl52_10
    | spl52_45
    | ~ spl52_82 ),
    inference(avatar_split_clause,[],[f338,f710,f545,f392,f818]) ).

fof(f710,plain,
    ( spl52_82
  <=> sP36 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_82])]) ).

fof(f338,plain,
    ! [X81] :
      ( ~ sP36
      | c2_1(X81)
      | ~ ndr1_0
      | ~ sP35
      | c1_1(X81)
      | ~ c0_1(X81) ),
    inference(duplicate_literal_removal,[],[f280]) ).

fof(f280,plain,
    ! [X81] :
      ( ~ sP36
      | ~ ndr1_0
      | c2_1(X81)
      | ~ c0_1(X81)
      | ~ ndr1_0
      | ~ sP35
      | ~ ndr1_0
      | c1_1(X81) ),
    inference(general_splitting,[],[f278,f279_D]) ).

fof(f279,plain,
    ! [X80] :
      ( c2_1(X80)
      | sP36
      | ~ c0_1(X80)
      | ~ c1_1(X80) ),
    inference(cnf_transformation,[],[f279_D]) ).

fof(f279_D,plain,
    ( ! [X80] :
        ( c2_1(X80)
        | ~ c0_1(X80)
        | ~ c1_1(X80) )
  <=> ~ sP36 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP36])]) ).

fof(f278,plain,
    ! [X80,X81] :
      ( c2_1(X80)
      | ~ c0_1(X80)
      | ~ ndr1_0
      | ~ c1_1(X80)
      | c1_1(X81)
      | ~ c0_1(X81)
      | ~ ndr1_0
      | c2_1(X81)
      | ~ ndr1_0
      | ~ sP35 ),
    inference(general_splitting,[],[f68,f277_D]) ).

fof(f68,plain,
    ! [X82,X80,X81] :
      ( c2_1(X80)
      | ~ c0_1(X80)
      | ~ ndr1_0
      | ~ c1_1(X80)
      | c1_1(X81)
      | ~ c0_1(X81)
      | ~ ndr1_0
      | c2_1(X81)
      | c0_1(X82)
      | ~ c3_1(X82)
      | ~ ndr1_0
      | c2_1(X82) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f816,plain,
    ( spl52_57
    | spl52_43 ),
    inference(avatar_split_clause,[],[f287,f537,f598]) ).

fof(f598,plain,
    ( spl52_57
  <=> sP40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_57])]) ).

fof(f287,plain,
    ! [X91] :
      ( c1_1(X91)
      | c0_1(X91)
      | sP40
      | c3_1(X91) ),
    inference(cnf_transformation,[],[f287_D]) ).

fof(f287_D,plain,
    ( ! [X91] :
        ( c1_1(X91)
        | c0_1(X91)
        | c3_1(X91) )
  <=> ~ sP40 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP40])]) ).

fof(f815,plain,
    ( ~ spl52_28
    | ~ spl52_10
    | spl52_104 ),
    inference(avatar_split_clause,[],[f339,f813,f392,f472]) ).

fof(f472,plain,
    ( spl52_28
  <=> sP11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_28])]) ).

fof(f339,plain,
    ! [X27] :
      ( c3_1(X27)
      | ~ ndr1_0
      | c2_1(X27)
      | c0_1(X27)
      | ~ sP11 ),
    inference(duplicate_literal_removal,[],[f230]) ).

fof(f230,plain,
    ! [X27] :
      ( c0_1(X27)
      | c2_1(X27)
      | ~ ndr1_0
      | c3_1(X27)
      | ~ sP11
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f153,f229_D]) ).

fof(f229,plain,
    ! [X28] :
      ( ~ c3_1(X28)
      | ~ c2_1(X28)
      | sP11
      | ~ c1_1(X28) ),
    inference(cnf_transformation,[],[f229_D]) ).

fof(f229_D,plain,
    ( ! [X28] :
        ( ~ c3_1(X28)
        | ~ c2_1(X28)
        | ~ c1_1(X28) )
  <=> ~ sP11 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP11])]) ).

fof(f153,plain,
    ! [X28,X27] :
      ( c3_1(X27)
      | c2_1(X27)
      | c0_1(X27)
      | ~ ndr1_0
      | ~ c2_1(X28)
      | ~ c1_1(X28)
      | ~ ndr1_0
      | ~ c3_1(X28) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f811,plain,
    ( ~ spl52_103
    | ~ spl52_85 ),
    inference(avatar_split_clause,[],[f91,f723,f808]) ).

fof(f91,plain,
    ( ~ hskp3
    | ~ c0_1(a1974) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f806,plain,
    ( spl52_102
    | ~ spl52_13 ),
    inference(avatar_split_clause,[],[f146,f403,f803]) ).

fof(f146,plain,
    ( ~ hskp1
    | c2_1(a1971) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f796,plain,
    ( ~ spl52_92
    | spl52_100 ),
    inference(avatar_split_clause,[],[f179,f793,f754]) ).

fof(f179,plain,
    ( c2_1(a1993)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f791,plain,
    ( ~ spl52_99
    | ~ spl52_31 ),
    inference(avatar_split_clause,[],[f58,f485,f788]) ).

fof(f58,plain,
    ( ~ hskp8
    | ~ c1_1(a1983) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f786,plain,
    ( ~ spl52_98
    | ~ spl52_31 ),
    inference(avatar_split_clause,[],[f60,f485,f783]) ).

fof(f60,plain,
    ( ~ hskp8
    | ~ c0_1(a1983) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f781,plain,
    ( ~ spl52_48
    | ~ spl52_97 ),
    inference(avatar_split_clause,[],[f50,f778,f558]) ).

fof(f50,plain,
    ( ~ c1_1(a2009)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f776,plain,
    ( ~ spl52_10
    | spl52_95
    | spl52_44
    | spl52_77 ),
    inference(avatar_split_clause,[],[f11,f689,f541,f768,f392]) ).

fof(f11,plain,
    ! [X116] :
      ( c3_1(X116)
      | hskp4
      | hskp17
      | ~ c2_1(X116)
      | ~ c0_1(X116)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f775,plain,
    ( ~ spl52_95
    | ~ spl52_96 ),
    inference(avatar_split_clause,[],[f15,f772,f768]) ).

fof(f15,plain,
    ( ~ c0_1(a1998)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f766,plain,
    ( spl52_54
    | ~ spl52_94
    | ~ spl52_10 ),
    inference(avatar_split_clause,[],[f340,f392,f763,f584]) ).

fof(f340,plain,
    ! [X69] :
      ( ~ ndr1_0
      | ~ sP29
      | c2_1(X69)
      | ~ c1_1(X69)
      | ~ c0_1(X69) ),
    inference(duplicate_literal_removal,[],[f266]) ).

fof(f266,plain,
    ! [X69] :
      ( c2_1(X69)
      | ~ c0_1(X69)
      | ~ ndr1_0
      | ~ c1_1(X69)
      | ~ sP29
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f79,f265_D]) ).

fof(f79,plain,
    ! [X70,X69] :
      ( ~ c1_1(X69)
      | c2_1(X69)
      | ~ c0_1(X69)
      | ~ ndr1_0
      | ~ c3_1(X70)
      | c0_1(X70)
      | ~ c2_1(X70)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f752,plain,
    ( spl52_90
    | spl52_91 ),
    inference(avatar_split_clause,[],[f221,f749,f746]) ).

fof(f744,plain,
    ( spl52_26
    | ~ spl52_10
    | spl52_89
    | spl52_47 ),
    inference(avatar_split_clause,[],[f13,f554,f742,f392,f462]) ).

fof(f13,plain,
    ! [X114] :
      ( hskp18
      | ~ c0_1(X114)
      | ~ ndr1_0
      | hskp6
      | c1_1(X114)
      | ~ c3_1(X114) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f740,plain,
    ( spl52_88
    | ~ spl52_85 ),
    inference(avatar_split_clause,[],[f88,f723,f737]) ).

fof(f88,plain,
    ( ~ hskp3
    | c1_1(a1974) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f735,plain,
    ( spl52_14
    | ~ spl52_7
    | spl52_87
    | ~ spl52_10 ),
    inference(avatar_split_clause,[],[f341,f392,f733,f378,f408]) ).

fof(f378,plain,
    ( spl52_7
  <=> sP37 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_7])]) ).

fof(f341,plain,
    ! [X84] :
      ( ~ ndr1_0
      | c0_1(X84)
      | ~ sP37
      | hskp13
      | ~ c1_1(X84)
      | ~ c3_1(X84) ),
    inference(duplicate_literal_removal,[],[f282]) ).

fof(f282,plain,
    ! [X84] :
      ( ~ sP37
      | ~ c1_1(X84)
      | ~ c3_1(X84)
      | ~ ndr1_0
      | c0_1(X84)
      | hskp13
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f63,f281_D]) ).

fof(f281,plain,
    ! [X83] :
      ( c0_1(X83)
      | c3_1(X83)
      | sP37
      | ~ c2_1(X83) ),
    inference(cnf_transformation,[],[f281_D]) ).

fof(f281_D,plain,
    ( ! [X83] :
        ( c0_1(X83)
        | c3_1(X83)
        | ~ c2_1(X83) )
  <=> ~ sP37 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP37])]) ).

fof(f63,plain,
    ! [X83,X84] :
      ( ~ ndr1_0
      | ~ c2_1(X83)
      | c3_1(X83)
      | c0_1(X83)
      | hskp13
      | ~ c1_1(X84)
      | ~ c3_1(X84)
      | c0_1(X84)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f731,plain,
    ( ~ spl52_49
    | spl52_86 ),
    inference(avatar_split_clause,[],[f75,f728,f562]) ).

fof(f75,plain,
    ( c3_1(a1996)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f713,plain,
    ( spl52_82
    | spl52_54 ),
    inference(avatar_split_clause,[],[f279,f584,f710]) ).

fof(f708,plain,
    ( ~ spl52_81
    | ~ spl52_47 ),
    inference(avatar_split_clause,[],[f183,f554,f705]) ).

fof(f183,plain,
    ( ~ hskp18
    | ~ c3_1(a2000) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f703,plain,
    ( spl52_79
    | spl52_80 ),
    inference(avatar_split_clause,[],[f211,f701,f697]) ).

fof(f686,plain,
    ( ~ spl52_23
    | ~ spl52_76 ),
    inference(avatar_split_clause,[],[f172,f683,f448]) ).

fof(f172,plain,
    ( ~ c3_1(a1989)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f681,plain,
    ( ~ spl52_74
    | ~ spl52_10
    | ~ spl52_75
    | spl52_51 ),
    inference(avatar_split_clause,[],[f342,f571,f678,f392,f674]) ).

fof(f342,plain,
    ! [X103] :
      ( c2_1(X103)
      | ~ sP46
      | ~ c3_1(X103)
      | ~ c1_1(X103)
      | ~ ndr1_0
      | ~ sP47 ),
    inference(duplicate_literal_removal,[],[f302]) ).

fof(f302,plain,
    ! [X103] :
      ( ~ c1_1(X103)
      | ~ sP46
      | ~ c3_1(X103)
      | ~ ndr1_0
      | ~ sP47
      | ~ ndr1_0
      | ~ ndr1_0
      | c2_1(X103) ),
    inference(general_splitting,[],[f300,f301_D]) ).

fof(f300,plain,
    ! [X102,X103] :
      ( ~ c3_1(X102)
      | c2_1(X102)
      | c0_1(X102)
      | ~ ndr1_0
      | ~ c1_1(X103)
      | ~ c3_1(X103)
      | c2_1(X103)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP46 ),
    inference(general_splitting,[],[f29,f299_D]) ).

fof(f29,plain,
    ! [X104,X102,X103] :
      ( ~ c3_1(X102)
      | c2_1(X102)
      | c0_1(X102)
      | ~ ndr1_0
      | ~ c1_1(X103)
      | ~ c3_1(X103)
      | c2_1(X103)
      | ~ ndr1_0
      | c0_1(X104)
      | ~ c1_1(X104)
      | ~ ndr1_0
      | c3_1(X104) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f672,plain,
    ( spl52_72
    | spl52_73 ),
    inference(avatar_split_clause,[],[f259,f670,f666]) ).

fof(f658,plain,
    ( spl52_70
    | spl52_43 ),
    inference(avatar_split_clause,[],[f207,f537,f655]) ).

fof(f653,plain,
    ( ~ spl52_68
    | ~ spl52_69 ),
    inference(avatar_split_clause,[],[f39,f650,f646]) ).

fof(f39,plain,
    ( ~ c0_1(a1992)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f644,plain,
    ( spl52_65
    | spl52_66
    | ~ spl52_10
    | ~ spl52_67 ),
    inference(avatar_split_clause,[],[f343,f641,f392,f638,f634]) ).

fof(f343,plain,
    ! [X13] :
      ( ~ sP6
      | ~ ndr1_0
      | ~ c3_1(X13)
      | c0_1(X13)
      | hskp5
      | c1_1(X13) ),
    inference(duplicate_literal_removal,[],[f220]) ).

fof(f220,plain,
    ! [X13] :
      ( c1_1(X13)
      | c0_1(X13)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP6
      | hskp5
      | ~ c3_1(X13) ),
    inference(general_splitting,[],[f187,f219_D]) ).

fof(f187,plain,
    ! [X12,X13] :
      ( ~ ndr1_0
      | ~ c2_1(X12)
      | ~ c0_1(X12)
      | c3_1(X12)
      | hskp5
      | ~ c3_1(X13)
      | c0_1(X13)
      | ~ ndr1_0
      | c1_1(X13) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f632,plain,
    ( ~ spl52_63
    | ~ spl52_64
    | ~ spl52_10
    | spl52_45 ),
    inference(avatar_split_clause,[],[f344,f545,f392,f629,f625]) ).

fof(f344,plain,
    ! [X17] :
      ( c1_1(X17)
      | ~ ndr1_0
      | c2_1(X17)
      | ~ c0_1(X17)
      | ~ sP9
      | ~ sP8 ),
    inference(duplicate_literal_removal,[],[f226]) ).

fof(f226,plain,
    ! [X17] :
      ( ~ ndr1_0
      | ~ sP9
      | ~ ndr1_0
      | c2_1(X17)
      | ~ sP8
      | c1_1(X17)
      | ~ c0_1(X17)
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f224,f225_D]) ).

fof(f224,plain,
    ! [X16,X17] :
      ( ~ c0_1(X16)
      | c1_1(X16)
      | ~ ndr1_0
      | ~ c2_1(X16)
      | c2_1(X17)
      | ~ c0_1(X17)
      | c1_1(X17)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP8 ),
    inference(general_splitting,[],[f177,f223_D]) ).

fof(f177,plain,
    ! [X18,X16,X17] :
      ( ~ c0_1(X16)
      | c1_1(X16)
      | ~ ndr1_0
      | ~ c2_1(X16)
      | c2_1(X17)
      | ~ c0_1(X17)
      | c1_1(X17)
      | ~ ndr1_0
      | ~ c3_1(X18)
      | ~ ndr1_0
      | ~ c2_1(X18)
      | c1_1(X18) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f623,plain,
    ( ~ spl52_62
    | ~ spl52_47 ),
    inference(avatar_split_clause,[],[f184,f554,f620]) ).

fof(f184,plain,
    ( ~ hskp18
    | ~ c0_1(a2000) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f613,plain,
    ( spl52_60
    | ~ spl52_24 ),
    inference(avatar_split_clause,[],[f195,f453,f610]) ).

fof(f195,plain,
    ( ~ hskp28
    | c0_1(a1972) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f608,plain,
    ( ~ spl52_10
    | ~ spl52_57
    | spl52_58
    | ~ spl52_59 ),
    inference(avatar_split_clause,[],[f345,f605,f602,f598,f392]) ).

fof(f345,plain,
    ! [X93] :
      ( ~ sP41
      | ~ c1_1(X93)
      | ~ c0_1(X93)
      | ~ c2_1(X93)
      | ~ sP40
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f290]) ).

fof(f290,plain,
    ! [X93] :
      ( ~ ndr1_0
      | ~ c1_1(X93)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c2_1(X93)
      | ~ c0_1(X93)
      | ~ sP40
      | ~ sP41 ),
    inference(general_splitting,[],[f288,f289_D]) ).

fof(f288,plain,
    ! [X92,X93] :
      ( ~ ndr1_0
      | ~ c3_1(X92)
      | c0_1(X92)
      | ~ ndr1_0
      | c2_1(X92)
      | ~ c1_1(X93)
      | ~ c0_1(X93)
      | ~ c2_1(X93)
      | ~ ndr1_0
      | ~ sP40 ),
    inference(general_splitting,[],[f46,f287_D]) ).

fof(f46,plain,
    ! [X91,X92,X93] :
      ( c1_1(X91)
      | c3_1(X91)
      | c0_1(X91)
      | ~ ndr1_0
      | ~ c3_1(X92)
      | c0_1(X92)
      | ~ ndr1_0
      | c2_1(X92)
      | ~ c1_1(X93)
      | ~ c0_1(X93)
      | ~ c2_1(X93)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f596,plain,
    ( ~ spl52_56
    | spl52_24
    | spl52_43
    | ~ spl52_10 ),
    inference(avatar_split_clause,[],[f346,f392,f537,f453,f593]) ).

fof(f346,plain,
    ! [X67] :
      ( ~ ndr1_0
      | c3_1(X67)
      | c0_1(X67)
      | c1_1(X67)
      | hskp28
      | ~ sP28 ),
    inference(duplicate_literal_removal,[],[f264]) ).

fof(f264,plain,
    ! [X67] :
      ( hskp28
      | ~ ndr1_0
      | ~ ndr1_0
      | c3_1(X67)
      | c1_1(X67)
      | ~ sP28
      | c0_1(X67) ),
    inference(general_splitting,[],[f81,f263_D]) ).

fof(f81,plain,
    ! [X68,X67] :
      ( ~ ndr1_0
      | c3_1(X67)
      | c0_1(X67)
      | c1_1(X67)
      | ~ c1_1(X68)
      | ~ c3_1(X68)
      | ~ ndr1_0
      | ~ c2_1(X68)
      | hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f586,plain,
    ( ~ spl52_52
    | ~ spl52_53
    | ~ spl52_10
    | spl52_54 ),
    inference(avatar_split_clause,[],[f347,f584,f392,f580,f576]) ).

fof(f347,plain,
    ! [X77] :
      ( ~ c1_1(X77)
      | ~ ndr1_0
      | ~ sP33
      | c2_1(X77)
      | ~ c0_1(X77)
      | ~ sP34 ),
    inference(duplicate_literal_removal,[],[f276]) ).

fof(f276,plain,
    ! [X77] :
      ( ~ c0_1(X77)
      | c2_1(X77)
      | ~ ndr1_0
      | ~ sP33
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c1_1(X77)
      | ~ sP34 ),
    inference(general_splitting,[],[f274,f275_D]) ).

fof(f274,plain,
    ! [X76,X77] :
      ( ~ c1_1(X76)
      | c3_1(X76)
      | ~ ndr1_0
      | c0_1(X76)
      | c2_1(X77)
      | ~ c1_1(X77)
      | ~ ndr1_0
      | ~ c0_1(X77)
      | ~ ndr1_0
      | ~ sP33 ),
    inference(general_splitting,[],[f70,f273_D]) ).

fof(f70,plain,
    ! [X78,X76,X77] :
      ( ~ c1_1(X76)
      | c3_1(X76)
      | ~ ndr1_0
      | c0_1(X76)
      | c2_1(X77)
      | ~ c1_1(X77)
      | ~ ndr1_0
      | ~ c0_1(X77)
      | ~ c0_1(X78)
      | ~ c1_1(X78)
      | ~ ndr1_0
      | ~ c2_1(X78) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f565,plain,
    ( spl52_47
    | spl52_48
    | spl52_49 ),
    inference(avatar_split_clause,[],[f189,f562,f558,f554]) ).

fof(f189,plain,
    ( hskp16
    | hskp21
    | hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f539,plain,
    ( spl52_42
    | spl52_43 ),
    inference(avatar_split_clause,[],[f213,f537,f533]) ).

fof(f531,plain,
    ( spl52_41
    | ~ spl52_18 ),
    inference(avatar_split_clause,[],[f158,f425,f528]) ).

fof(f158,plain,
    ( ~ hskp23
    | c1_1(a2014) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f526,plain,
    ( spl52_40
    | spl52_11 ),
    inference(avatar_split_clause,[],[f285,f396,f523]) ).

fof(f521,plain,
    ( ~ spl52_18
    | ~ spl52_39 ),
    inference(avatar_split_clause,[],[f159,f518,f425]) ).

fof(f159,plain,
    ( ~ c2_1(a2014)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f495,plain,
    ( ~ spl52_10
    | spl52_31
    | spl52_32
    | ~ spl52_33 ),
    inference(avatar_split_clause,[],[f349,f492,f489,f485,f392]) ).

fof(f349,plain,
    ! [X105] :
      ( ~ sP48
      | ~ c2_1(X105)
      | hskp8
      | c1_1(X105)
      | ~ c0_1(X105)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f304]) ).

fof(f304,plain,
    ! [X105] :
      ( ~ sP48
      | c1_1(X105)
      | hskp8
      | ~ c0_1(X105)
      | ~ ndr1_0
      | ~ c2_1(X105)
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f24,f303_D]) ).

fof(f24,plain,
    ! [X106,X105] :
      ( hskp8
      | c1_1(X105)
      | ~ c2_1(X105)
      | ~ ndr1_0
      | ~ c0_1(X105)
      | c2_1(X106)
      | ~ ndr1_0
      | ~ c3_1(X106)
      | c0_1(X106) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f483,plain,
    ( spl52_2
    | spl52_30 ),
    inference(avatar_split_clause,[],[f257,f480,f356]) ).

fof(f478,plain,
    ( spl52_28
    | spl52_29 ),
    inference(avatar_split_clause,[],[f229,f476,f472]) ).

fof(f465,plain,
    ( ~ spl52_26
    | spl52_10 ),
    inference(avatar_split_clause,[],[f113,f392,f462]) ).

fof(f113,plain,
    ( ndr1_0
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f460,plain,
    ( ~ spl52_24
    | spl52_25 ),
    inference(avatar_split_clause,[],[f196,f457,f453]) ).

fof(f196,plain,
    ( c3_1(a1972)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f451,plain,
    ( spl52_22
    | ~ spl52_23 ),
    inference(avatar_split_clause,[],[f171,f448,f444]) ).

fof(f171,plain,
    ( ~ hskp11
    | c2_1(a1989) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f437,plain,
    ( spl52_19
    | ~ spl52_20 ),
    inference(avatar_split_clause,[],[f201,f434,f430]) ).

fof(f201,plain,
    ( ~ hskp27
    | c3_1(a1970) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f415,plain,
    ( ~ spl52_14
    | ~ spl52_15 ),
    inference(avatar_split_clause,[],[f118,f412,f408]) ).

fof(f118,plain,
    ( ~ c3_1(a1991)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f406,plain,
    ( ~ spl52_10
    | spl52_11
    | spl52_12
    | spl52_13 ),
    inference(avatar_split_clause,[],[f106,f403,f399,f396,f392]) ).

fof(f106,plain,
    ! [X59] :
      ( hskp1
      | hskp10
      | c2_1(X59)
      | ~ ndr1_0
      | ~ c3_1(X59)
      | c1_1(X59) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f390,plain,
    ( spl52_8
    | ~ spl52_9 ),
    inference(avatar_split_clause,[],[f30,f387,f383]) ).

fof(f30,plain,
    ( ~ hskp12
    | c3_1(a1990) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f381,plain,
    ( spl52_7
    | spl52_2 ),
    inference(avatar_split_clause,[],[f281,f356,f378]) ).

fof(f358,plain,
    ( spl52_1
    | spl52_2 ),
    inference(avatar_split_clause,[],[f291,f356,f352]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN484+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
% 0.13/0.33  % Computer : n008.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 22:03:40 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.18/0.47  % (2348)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.48  % (2364)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.48  % (2356)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.50  % (2350)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50  % (2352)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51  % (2357)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.51  % (2361)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.51  % (2349)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51  % (2346)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.51  % (2353)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.51  % (2348)Instruction limit reached!
% 0.18/0.51  % (2348)------------------------------
% 0.18/0.51  % (2348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (2374)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.52  % (2363)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.52  % (2347)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52  % (2365)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.52  % (2371)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.52  % (2366)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.52  % (2369)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.52  % (2368)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.52  % (2355)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)
% 0.18/0.53  % (2375)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.18/0.53  % (2370)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.53  Detected maximum model sizes of [31]
% 0.18/0.53  TRYING [1]
% 0.18/0.53  % (2354)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.53  TRYING [2]
% 0.18/0.53  % (2362)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)
% 0.18/0.53  % (2354)Instruction limit reached!
% 0.18/0.53  % (2354)------------------------------
% 0.18/0.53  % (2354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (2354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (2354)Termination reason: Unknown
% 0.18/0.53  % (2354)Termination phase: Preprocessing 2
% 0.18/0.53  
% 0.18/0.53  % (2354)Memory used [KB]: 1279
% 0.18/0.53  % (2354)Time elapsed: 0.004 s
% 0.18/0.53  % (2354)Instructions burned: 3 (million)
% 0.18/0.53  % (2354)------------------------------
% 0.18/0.53  % (2354)------------------------------
% 0.18/0.53  % (2351)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.53  TRYING [3]
% 0.18/0.53  % (2348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (2348)Termination reason: Unknown
% 0.18/0.53  % (2348)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (2348)Memory used [KB]: 1535
% 0.18/0.53  % (2348)Time elapsed: 0.108 s
% 0.18/0.53  % (2348)Instructions burned: 38 (million)
% 0.18/0.53  % (2348)------------------------------
% 0.18/0.53  % (2348)------------------------------
% 0.18/0.53  % (2367)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.53  % (2372)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.53  % (2353)Instruction limit reached!
% 0.18/0.53  % (2353)------------------------------
% 0.18/0.53  % (2353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (2353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (2353)Termination reason: Unknown
% 0.18/0.53  % (2353)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (2353)Memory used [KB]: 6012
% 0.18/0.53  % (2353)Time elapsed: 0.009 s
% 0.18/0.53  % (2353)Instructions burned: 7 (million)
% 0.18/0.53  % (2353)------------------------------
% 0.18/0.53  % (2353)------------------------------
% 0.18/0.54  % (2373)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.54  % (2358)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.54  % (2356)First to succeed.
% 0.18/0.54  % (2359)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.54  % (2360)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.54  Detected maximum model sizes of [31]
% 0.18/0.55  Detected maximum model sizes of [31]
% 0.18/0.55  TRYING [4]
% 0.18/0.56  TRYING [1]
% 0.18/0.56  TRYING [1]
% 0.18/0.56  TRYING [2]
% 0.18/0.56  TRYING [3]
% 0.18/0.56  TRYING [2]
% 0.18/0.56  TRYING [3]
% 0.18/0.56  TRYING [4]
% 0.18/0.57  % (2356)Refutation found. Thanks to Tanya!
% 0.18/0.57  % SZS status Theorem for theBenchmark
% 0.18/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.57  % (2356)------------------------------
% 0.18/0.57  % (2356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (2356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (2356)Termination reason: Refutation
% 0.18/0.57  
% 0.18/0.57  % (2356)Memory used [KB]: 7419
% 0.18/0.57  % (2356)Time elapsed: 0.147 s
% 0.18/0.57  % (2356)Instructions burned: 36 (million)
% 0.18/0.57  % (2356)------------------------------
% 0.18/0.57  % (2356)------------------------------
% 0.18/0.57  % (2345)Success in time 0.225 s
%------------------------------------------------------------------------------