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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---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_uns --cores 0 -t %d %s

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:27:12 EDT 2022

% Result   : Theorem 2.46s 0.67s
% Output   : Refutation 2.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  150
% Syntax   : Number of formulae    :  678 (   1 unt;   0 def)
%            Number of atoms       : 7454 (   0 equ)
%            Maximal formula atoms :  742 (  10 avg)
%            Number of connectives : 10105 (3329   ~;4753   |;1386   &)
%                                         ( 149 <=>; 488  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  115 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  186 ( 185 usr; 182 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   : 1028 (1028   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2745,plain,
    $false,
    inference(avatar_sat_refutation,[],[f271,f282,f292,f305,f322,f343,f359,f379,f384,f389,f394,f399,f411,f416,f429,f443,f448,f460,f465,f471,f477,f493,f498,f506,f515,f520,f521,f531,f536,f545,f546,f551,f556,f561,f567,f573,f578,f583,f588,f589,f590,f594,f599,f604,f605,f610,f611,f622,f627,f632,f650,f660,f665,f675,f680,f685,f690,f691,f697,f702,f704,f714,f715,f721,f726,f732,f733,f744,f749,f754,f763,f764,f765,f767,f772,f773,f782,f787,f792,f797,f802,f807,f813,f818,f823,f828,f835,f848,f861,f869,f874,f879,f884,f889,f894,f895,f900,f905,f910,f915,f920,f921,f928,f933,f934,f938,f943,f948,f954,f960,f965,f971,f978,f979,f984,f991,f993,f994,f999,f1000,f1006,f1007,f1008,f1009,f1014,f1015,f1020,f1022,f1027,f1028,f1029,f1139,f1140,f1149,f1257,f1258,f1318,f1428,f1434,f1459,f1532,f1534,f1538,f1550,f1574,f1576,f1616,f1618,f1636,f1652,f1677,f1708,f1733,f1734,f1791,f1848,f1851,f1854,f1860,f1893,f1899,f1997,f2032,f2044,f2059,f2077,f2089,f2112,f2117,f2118,f2120,f2141,f2151,f2152,f2154,f2189,f2193,f2194,f2220,f2244,f2259,f2284,f2323,f2326,f2332,f2333,f2377,f2428,f2451,f2475,f2476,f2509,f2511,f2515,f2554,f2565,f2568,f2588,f2608,f2613,f2616,f2641,f2675,f2677,f2686,f2688,f2695,f2696,f2728,f2732,f2734,f2735]) ).

fof(f2735,plain,
    ( spl0_144
    | ~ spl0_176
    | ~ spl0_33
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f2722,f538,f377,f1443,f957]) ).

fof(f957,plain,
    ( spl0_144
  <=> c1_1(a2049) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1443,plain,
    ( spl0_176
  <=> c2_1(a2049) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f377,plain,
    ( spl0_33
  <=> ! [X116] :
        ( c1_1(X116)
        | ~ c2_1(X116)
        | ~ c0_1(X116) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f538,plain,
    ( spl0_68
  <=> c0_1(a2049) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f2722,plain,
    ( ~ c2_1(a2049)
    | c1_1(a2049)
    | ~ spl0_33
    | ~ spl0_68 ),
    inference(resolution,[],[f378,f540]) ).

fof(f540,plain,
    ( c0_1(a2049)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f378,plain,
    ( ! [X116] :
        ( ~ c0_1(X116)
        | c1_1(X116)
        | ~ c2_1(X116) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f2734,plain,
    ( spl0_85
    | ~ spl0_15
    | ~ spl0_33
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2718,f1057,f377,f302,f629]) ).

fof(f629,plain,
    ( spl0_85
  <=> c1_1(a2009) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f302,plain,
    ( spl0_15
  <=> c2_1(a2009) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f1057,plain,
    ( spl0_158
  <=> c0_1(a2009) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f2718,plain,
    ( ~ c2_1(a2009)
    | c1_1(a2009)
    | ~ spl0_33
    | ~ spl0_158 ),
    inference(resolution,[],[f378,f1059]) ).

fof(f1059,plain,
    ( c0_1(a2009)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1057]) ).

fof(f2732,plain,
    ( spl0_129
    | ~ spl0_136
    | ~ spl0_33
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2712,f1164,f377,f907,f871]) ).

fof(f871,plain,
    ( spl0_129
  <=> c1_1(a1987) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f907,plain,
    ( spl0_136
  <=> c2_1(a1987) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1164,plain,
    ( spl0_165
  <=> c0_1(a1987) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f2712,plain,
    ( ~ c2_1(a1987)
    | c1_1(a1987)
    | ~ spl0_33
    | ~ spl0_165 ),
    inference(resolution,[],[f378,f1166]) ).

fof(f1166,plain,
    ( c0_1(a1987)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1164]) ).

fof(f2728,plain,
    ( ~ spl0_103
    | spl0_159
    | ~ spl0_33
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f2724,f789,f377,f1073,f723]) ).

fof(f723,plain,
    ( spl0_103
  <=> c2_1(a2005) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1073,plain,
    ( spl0_159
  <=> c1_1(a2005) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f789,plain,
    ( spl0_115
  <=> c0_1(a2005) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f2724,plain,
    ( c1_1(a2005)
    | ~ c2_1(a2005)
    | ~ spl0_33
    | ~ spl0_115 ),
    inference(resolution,[],[f378,f791]) ).

fof(f791,plain,
    ( c0_1(a2005)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f789]) ).

fof(f2696,plain,
    ( ~ spl0_163
    | spl0_133
    | ~ spl0_78
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f2651,f607,f592,f891,f1124]) ).

fof(f1124,plain,
    ( spl0_163
  <=> c2_1(a1983) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f891,plain,
    ( spl0_133
  <=> c1_1(a1983) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f592,plain,
    ( spl0_78
  <=> ! [X83] :
        ( ~ c3_1(X83)
        | ~ c2_1(X83)
        | c1_1(X83) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f607,plain,
    ( spl0_81
  <=> c3_1(a1983) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f2651,plain,
    ( c1_1(a1983)
    | ~ c2_1(a1983)
    | ~ spl0_78
    | ~ spl0_81 ),
    inference(resolution,[],[f593,f609]) ).

fof(f609,plain,
    ( c3_1(a1983)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f593,plain,
    ( ! [X83] :
        ( ~ c3_1(X83)
        | c1_1(X83)
        | ~ c2_1(X83) )
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f2695,plain,
    ( spl0_129
    | ~ spl0_136
    | ~ spl0_78
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f2653,f647,f592,f907,f871]) ).

fof(f647,plain,
    ( spl0_89
  <=> c3_1(a1987) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f2653,plain,
    ( ~ c2_1(a1987)
    | c1_1(a1987)
    | ~ spl0_78
    | ~ spl0_89 ),
    inference(resolution,[],[f593,f649]) ).

fof(f649,plain,
    ( c3_1(a1987)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f2688,plain,
    ( ~ spl0_95
    | spl0_76
    | ~ spl0_78
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f2646,f1084,f592,f580,f677]) ).

fof(f677,plain,
    ( spl0_95
  <=> c2_1(a1971) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f580,plain,
    ( spl0_76
  <=> c1_1(a1971) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1084,plain,
    ( spl0_160
  <=> c3_1(a1971) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f2646,plain,
    ( c1_1(a1971)
    | ~ c2_1(a1971)
    | ~ spl0_78
    | ~ spl0_160 ),
    inference(resolution,[],[f593,f1086]) ).

fof(f1086,plain,
    ( c3_1(a1971)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1084]) ).

fof(f2686,plain,
    ( ~ spl0_134
    | spl0_138
    | ~ spl0_78
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f2658,f1309,f592,f917,f897]) ).

fof(f897,plain,
    ( spl0_134
  <=> c2_1(a1993) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f917,plain,
    ( spl0_138
  <=> c1_1(a1993) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1309,plain,
    ( spl0_171
  <=> c3_1(a1993) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f2658,plain,
    ( c1_1(a1993)
    | ~ c2_1(a1993)
    | ~ spl0_78
    | ~ spl0_171 ),
    inference(resolution,[],[f593,f1311]) ).

fof(f1311,plain,
    ( c3_1(a1993)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1309]) ).

fof(f2677,plain,
    ( spl0_159
    | ~ spl0_103
    | ~ spl0_48
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f2670,f592,f445,f723,f1073]) ).

fof(f445,plain,
    ( spl0_48
  <=> c3_1(a2005) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f2670,plain,
    ( ~ c2_1(a2005)
    | c1_1(a2005)
    | ~ spl0_48
    | ~ spl0_78 ),
    inference(resolution,[],[f593,f447]) ).

fof(f447,plain,
    ( c3_1(a2005)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f2675,plain,
    ( spl0_144
    | ~ spl0_176
    | ~ spl0_78
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f2667,f810,f592,f1443,f957]) ).

fof(f810,plain,
    ( spl0_119
  <=> c3_1(a2049) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f2667,plain,
    ( ~ c2_1(a2049)
    | c1_1(a2049)
    | ~ spl0_78
    | ~ spl0_119 ),
    inference(resolution,[],[f593,f812]) ).

fof(f812,plain,
    ( c3_1(a2049)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f2641,plain,
    ( spl0_114
    | spl0_54
    | ~ spl0_61
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2637,f751,f504,f474,f784]) ).

fof(f784,plain,
    ( spl0_114
  <=> c1_1(a1990) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f474,plain,
    ( spl0_54
  <=> c2_1(a1990) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f504,plain,
    ( spl0_61
  <=> ! [X25] :
        ( c1_1(X25)
        | c2_1(X25)
        | ~ c3_1(X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f751,plain,
    ( spl0_108
  <=> c3_1(a1990) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f2637,plain,
    ( c2_1(a1990)
    | c1_1(a1990)
    | ~ spl0_61
    | ~ spl0_108 ),
    inference(resolution,[],[f753,f505]) ).

fof(f505,plain,
    ( ! [X25] :
        ( ~ c3_1(X25)
        | c1_1(X25)
        | c2_1(X25) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f504]) ).

fof(f753,plain,
    ( c3_1(a1990)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f2616,plain,
    ( spl0_101
    | spl0_111
    | ~ spl0_60
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f2595,f508,f501,f769,f711]) ).

fof(f711,plain,
    ( spl0_101
  <=> c3_1(a1977) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f769,plain,
    ( spl0_111
  <=> c2_1(a1977) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f501,plain,
    ( spl0_60
  <=> ! [X24] :
        ( c3_1(X24)
        | c2_1(X24)
        | ~ c1_1(X24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f508,plain,
    ( spl0_62
  <=> c1_1(a1977) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f2595,plain,
    ( c2_1(a1977)
    | c3_1(a1977)
    | ~ spl0_60
    | ~ spl0_62 ),
    inference(resolution,[],[f502,f510]) ).

fof(f510,plain,
    ( c1_1(a1977)
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f502,plain,
    ( ! [X24] :
        ( ~ c1_1(X24)
        | c3_1(X24)
        | c2_1(X24) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f2613,plain,
    ( spl0_37
    | spl0_157
    | ~ spl0_23
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f2601,f501,f336,f1048,f396]) ).

fof(f396,plain,
    ( spl0_37
  <=> c2_1(a2014) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1048,plain,
    ( spl0_157
  <=> c3_1(a2014) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f336,plain,
    ( spl0_23
  <=> c1_1(a2014) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f2601,plain,
    ( c3_1(a2014)
    | c2_1(a2014)
    | ~ spl0_23
    | ~ spl0_60 ),
    inference(resolution,[],[f502,f338]) ).

fof(f338,plain,
    ( c1_1(a2014)
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f2608,plain,
    ( spl0_148
    | spl0_161
    | ~ spl0_60
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2597,f619,f501,f1111,f981]) ).

fof(f981,plain,
    ( spl0_148
  <=> c3_1(a1985) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1111,plain,
    ( spl0_161
  <=> c2_1(a1985) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f619,plain,
    ( spl0_83
  <=> c1_1(a1985) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f2597,plain,
    ( c2_1(a1985)
    | c3_1(a1985)
    | ~ spl0_60
    | ~ spl0_83 ),
    inference(resolution,[],[f502,f621]) ).

fof(f621,plain,
    ( c1_1(a1985)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f2588,plain,
    ( spl0_104
    | spl0_72
    | ~ spl0_10
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f2586,f1289,f284,f558,f729]) ).

fof(f729,plain,
    ( spl0_104
  <=> c0_1(a2031) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f558,plain,
    ( spl0_72
  <=> c2_1(a2031) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f284,plain,
    ( spl0_10
  <=> ! [X50] :
        ( c0_1(X50)
        | ~ c3_1(X50)
        | c2_1(X50) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1289,plain,
    ( spl0_170
  <=> c3_1(a2031) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f2586,plain,
    ( c2_1(a2031)
    | c0_1(a2031)
    | ~ spl0_10
    | ~ spl0_170 ),
    inference(resolution,[],[f1291,f285]) ).

fof(f285,plain,
    ( ! [X50] :
        ( ~ c3_1(X50)
        | c2_1(X50)
        | c0_1(X50) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f1291,plain,
    ( c3_1(a2031)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1289]) ).

fof(f2568,plain,
    ( spl0_130
    | ~ spl0_167
    | ~ spl0_49
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f2525,f779,f450,f1204,f876]) ).

fof(f876,plain,
    ( spl0_130
  <=> c2_1(a1979) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1204,plain,
    ( spl0_167
  <=> c1_1(a1979) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f450,plain,
    ( spl0_49
  <=> ! [X43] :
        ( ~ c3_1(X43)
        | c2_1(X43)
        | ~ c1_1(X43) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f779,plain,
    ( spl0_113
  <=> c3_1(a1979) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f2525,plain,
    ( ~ c1_1(a1979)
    | c2_1(a1979)
    | ~ spl0_49
    | ~ spl0_113 ),
    inference(resolution,[],[f451,f781]) ).

fof(f781,plain,
    ( c3_1(a1979)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f451,plain,
    ( ! [X43] :
        ( ~ c3_1(X43)
        | c2_1(X43)
        | ~ c1_1(X43) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f2565,plain,
    ( spl0_117
    | ~ spl0_156
    | ~ spl0_49
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f2534,f462,f450,f1043,f799]) ).

fof(f799,plain,
    ( spl0_117
  <=> c2_1(a1996) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1043,plain,
    ( spl0_156
  <=> c1_1(a1996) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f462,plain,
    ( spl0_52
  <=> c3_1(a1996) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f2534,plain,
    ( ~ c1_1(a1996)
    | c2_1(a1996)
    | ~ spl0_49
    | ~ spl0_52 ),
    inference(resolution,[],[f451,f464]) ).

fof(f464,plain,
    ( c3_1(a1996)
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f2554,plain,
    ( ~ spl0_128
    | spl0_141
    | ~ spl0_49
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2523,f945,f450,f940,f866]) ).

fof(f866,plain,
    ( spl0_128
  <=> c1_1(a1973) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f940,plain,
    ( spl0_141
  <=> c2_1(a1973) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f945,plain,
    ( spl0_142
  <=> c3_1(a1973) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2523,plain,
    ( c2_1(a1973)
    | ~ c1_1(a1973)
    | ~ spl0_49
    | ~ spl0_142 ),
    inference(resolution,[],[f451,f947]) ).

fof(f947,plain,
    ( c3_1(a1973)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f945]) ).

fof(f2515,plain,
    ( spl0_148
    | spl0_6
    | ~ spl0_9
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2483,f1111,f280,f268,f981]) ).

fof(f268,plain,
    ( spl0_6
  <=> c0_1(a1985) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f280,plain,
    ( spl0_9
  <=> ! [X41] :
        ( ~ c2_1(X41)
        | c3_1(X41)
        | c0_1(X41) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f2483,plain,
    ( c0_1(a1985)
    | c3_1(a1985)
    | ~ spl0_9
    | ~ spl0_161 ),
    inference(resolution,[],[f281,f1113]) ).

fof(f1113,plain,
    ( c2_1(a1985)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1111]) ).

fof(f281,plain,
    ( ! [X41] :
        ( ~ c2_1(X41)
        | c0_1(X41)
        | c3_1(X41) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f2511,plain,
    ( spl0_158
    | spl0_34
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f2492,f302,f280,f381,f1057]) ).

fof(f381,plain,
    ( spl0_34
  <=> c3_1(a2009) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f2492,plain,
    ( c3_1(a2009)
    | c0_1(a2009)
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(resolution,[],[f281,f304]) ).

fof(f304,plain,
    ( c2_1(a2009)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f2509,plain,
    ( spl0_118
    | spl0_71
    | ~ spl0_9
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f2485,f624,f280,f553,f804]) ).

fof(f804,plain,
    ( spl0_118
  <=> c0_1(a1989) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f553,plain,
    ( spl0_71
  <=> c3_1(a1989) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f624,plain,
    ( spl0_84
  <=> c2_1(a1989) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f2485,plain,
    ( c3_1(a1989)
    | c0_1(a1989)
    | ~ spl0_9
    | ~ spl0_84 ),
    inference(resolution,[],[f281,f626]) ).

fof(f626,plain,
    ( c2_1(a1989)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f2476,plain,
    ( spl0_107
    | spl0_135
    | ~ spl0_10
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f2473,f1188,f284,f902,f746]) ).

fof(f746,plain,
    ( spl0_107
  <=> c0_1(a1992) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f902,plain,
    ( spl0_135
  <=> c2_1(a1992) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1188,plain,
    ( spl0_166
  <=> c3_1(a1992) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f2473,plain,
    ( c2_1(a1992)
    | c0_1(a1992)
    | ~ spl0_10
    | ~ spl0_166 ),
    inference(resolution,[],[f1190,f285]) ).

fof(f1190,plain,
    ( c3_1(a1992)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1188]) ).

fof(f2475,plain,
    ( spl0_107
    | ~ spl0_110
    | ~ spl0_43
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f2474,f1188,f423,f760,f746]) ).

fof(f760,plain,
    ( spl0_110
  <=> c1_1(a1992) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f423,plain,
    ( spl0_43
  <=> ! [X88] :
        ( ~ c1_1(X88)
        | c0_1(X88)
        | ~ c3_1(X88) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f2474,plain,
    ( ~ c1_1(a1992)
    | c0_1(a1992)
    | ~ spl0_43
    | ~ spl0_166 ),
    inference(resolution,[],[f1190,f424]) ).

fof(f424,plain,
    ( ! [X88] :
        ( ~ c3_1(X88)
        | ~ c1_1(X88)
        | c0_1(X88) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f423]) ).

fof(f2451,plain,
    ( spl0_72
    | spl0_116
    | ~ spl0_27
    | spl0_104 ),
    inference(avatar_split_clause,[],[f2441,f729,f352,f794,f558]) ).

fof(f794,plain,
    ( spl0_116
  <=> c1_1(a2031) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f352,plain,
    ( spl0_27
  <=> ! [X90] :
        ( c0_1(X90)
        | c2_1(X90)
        | c1_1(X90) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f2441,plain,
    ( c1_1(a2031)
    | c2_1(a2031)
    | ~ spl0_27
    | spl0_104 ),
    inference(resolution,[],[f353,f731]) ).

fof(f731,plain,
    ( ~ c0_1(a2031)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f729]) ).

fof(f353,plain,
    ( ! [X90] :
        ( c0_1(X90)
        | c2_1(X90)
        | c1_1(X90) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f2428,plain,
    ( ~ spl0_62
    | spl0_111
    | ~ spl0_11
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2425,f1116,f287,f769,f508]) ).

fof(f287,plain,
    ( spl0_11
  <=> ! [X49] :
        ( c2_1(X49)
        | ~ c0_1(X49)
        | ~ c1_1(X49) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f1116,plain,
    ( spl0_162
  <=> c0_1(a1977) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f2425,plain,
    ( c2_1(a1977)
    | ~ c1_1(a1977)
    | ~ spl0_11
    | ~ spl0_162 ),
    inference(resolution,[],[f1118,f288]) ).

fof(f288,plain,
    ( ! [X49] :
        ( ~ c0_1(X49)
        | ~ c1_1(X49)
        | c2_1(X49) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f287]) ).

fof(f1118,plain,
    ( c0_1(a1977)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1116]) ).

fof(f2377,plain,
    ( spl0_48
    | spl0_159
    | ~ spl0_12
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2360,f723,f290,f1073,f445]) ).

fof(f290,plain,
    ( spl0_12
  <=> ! [X48] :
        ( c1_1(X48)
        | c3_1(X48)
        | ~ c2_1(X48) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f2360,plain,
    ( c1_1(a2005)
    | c3_1(a2005)
    | ~ spl0_12
    | ~ spl0_103 ),
    inference(resolution,[],[f291,f725]) ).

fof(f725,plain,
    ( c2_1(a2005)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f723]) ).

fof(f291,plain,
    ( ! [X48] :
        ( ~ c2_1(X48)
        | c1_1(X48)
        | c3_1(X48) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f2333,plain,
    ( spl0_143
    | ~ spl0_173
    | ~ spl0_11
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2313,f930,f287,f1372,f951]) ).

fof(f951,plain,
    ( spl0_143
  <=> c2_1(a2012) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1372,plain,
    ( spl0_173
  <=> c1_1(a2012) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f930,plain,
    ( spl0_140
  <=> c0_1(a2012) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2313,plain,
    ( ~ c1_1(a2012)
    | c2_1(a2012)
    | ~ spl0_11
    | ~ spl0_140 ),
    inference(resolution,[],[f288,f932]) ).

fof(f932,plain,
    ( c0_1(a2012)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f2332,plain,
    ( ~ spl0_23
    | spl0_37
    | ~ spl0_11
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f2314,f440,f287,f396,f336]) ).

fof(f440,plain,
    ( spl0_47
  <=> c0_1(a2014) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f2314,plain,
    ( c2_1(a2014)
    | ~ c1_1(a2014)
    | ~ spl0_11
    | ~ spl0_47 ),
    inference(resolution,[],[f288,f442]) ).

fof(f442,plain,
    ( c0_1(a2014)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f2326,plain,
    ( ~ spl0_151
    | spl0_183
    | ~ spl0_11
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f2317,f662,f287,f1621,f1003]) ).

fof(f1003,plain,
    ( spl0_151
  <=> c1_1(a1972) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1621,plain,
    ( spl0_183
  <=> c2_1(a1972) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f662,plain,
    ( spl0_92
  <=> c0_1(a1972) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f2317,plain,
    ( c2_1(a1972)
    | ~ c1_1(a1972)
    | ~ spl0_11
    | ~ spl0_92 ),
    inference(resolution,[],[f288,f664]) ).

fof(f664,plain,
    ( c0_1(a1972)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f2323,plain,
    ( spl0_60
    | ~ spl0_11
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f2319,f406,f287,f501]) ).

fof(f406,plain,
    ( spl0_39
  <=> ! [X75] :
        ( c2_1(X75)
        | c0_1(X75)
        | c3_1(X75) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f2319,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_11
    | ~ spl0_39 ),
    inference(duplicate_literal_removal,[],[f2302]) ).

fof(f2302,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_11
    | ~ spl0_39 ),
    inference(resolution,[],[f288,f407]) ).

fof(f407,plain,
    ( ! [X75] :
        ( c0_1(X75)
        | c2_1(X75)
        | c3_1(X75) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f2284,plain,
    ( spl0_163
    | spl0_133
    | ~ spl0_61
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f2280,f607,f504,f891,f1124]) ).

fof(f2280,plain,
    ( c1_1(a1983)
    | c2_1(a1983)
    | ~ spl0_61
    | ~ spl0_81 ),
    inference(resolution,[],[f609,f505]) ).

fof(f2259,plain,
    ( spl0_117
    | spl0_156
    | ~ spl0_52
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f2256,f504,f462,f1043,f799]) ).

fof(f2256,plain,
    ( c1_1(a1996)
    | c2_1(a1996)
    | ~ spl0_52
    | ~ spl0_61 ),
    inference(resolution,[],[f464,f505]) ).

fof(f2244,plain,
    ( spl0_27
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f2242,f294,f284,f352]) ).

fof(f294,plain,
    ( spl0_13
  <=> ! [X107] :
        ( c2_1(X107)
        | c3_1(X107)
        | c1_1(X107) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f2242,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(duplicate_literal_removal,[],[f2228]) ).

fof(f2228,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(resolution,[],[f295,f285]) ).

fof(f295,plain,
    ( ! [X107] :
        ( c3_1(X107)
        | c1_1(X107)
        | c2_1(X107) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f2220,plain,
    ( spl0_135
    | spl0_166
    | ~ spl0_39
    | spl0_107 ),
    inference(avatar_split_clause,[],[f2219,f746,f406,f1188,f902]) ).

fof(f2219,plain,
    ( c3_1(a1992)
    | c2_1(a1992)
    | ~ spl0_39
    | spl0_107 ),
    inference(resolution,[],[f748,f407]) ).

fof(f748,plain,
    ( ~ c0_1(a1992)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f2194,plain,
    ( spl0_103
    | spl0_159
    | ~ spl0_48
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f2184,f504,f445,f1073,f723]) ).

fof(f2184,plain,
    ( c1_1(a2005)
    | c2_1(a2005)
    | ~ spl0_48
    | ~ spl0_61 ),
    inference(resolution,[],[f505,f447]) ).

fof(f2193,plain,
    ( spl0_130
    | spl0_167
    | ~ spl0_61
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f2173,f779,f504,f1204,f876]) ).

fof(f2173,plain,
    ( c1_1(a1979)
    | c2_1(a1979)
    | ~ spl0_61
    | ~ spl0_113 ),
    inference(resolution,[],[f505,f781]) ).

fof(f2189,plain,
    ( spl0_176
    | spl0_144
    | ~ spl0_61
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f2181,f810,f504,f957,f1443]) ).

fof(f2181,plain,
    ( c1_1(a2049)
    | c2_1(a2049)
    | ~ spl0_61
    | ~ spl0_119 ),
    inference(resolution,[],[f505,f812]) ).

fof(f2154,plain,
    ( ~ spl0_52
    | ~ spl0_156
    | ~ spl0_50
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f2131,f585,f453,f1043,f462]) ).

fof(f453,plain,
    ( spl0_50
  <=> ! [X42] :
        ( ~ c0_1(X42)
        | ~ c3_1(X42)
        | ~ c1_1(X42) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f585,plain,
    ( spl0_77
  <=> c0_1(a1996) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f2131,plain,
    ( ~ c1_1(a1996)
    | ~ c3_1(a1996)
    | ~ spl0_50
    | ~ spl0_77 ),
    inference(resolution,[],[f454,f587]) ).

fof(f587,plain,
    ( c0_1(a1996)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f454,plain,
    ( ! [X42] :
        ( ~ c0_1(X42)
        | ~ c1_1(X42)
        | ~ c3_1(X42) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f2152,plain,
    ( ~ spl0_96
    | ~ spl0_151
    | ~ spl0_50
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f2139,f662,f453,f1003,f682]) ).

fof(f682,plain,
    ( spl0_96
  <=> c3_1(a1972) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f2139,plain,
    ( ~ c1_1(a1972)
    | ~ c3_1(a1972)
    | ~ spl0_50
    | ~ spl0_92 ),
    inference(resolution,[],[f454,f664]) ).

fof(f2151,plain,
    ( ~ spl0_159
    | ~ spl0_48
    | ~ spl0_50
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f2140,f789,f453,f445,f1073]) ).

fof(f2140,plain,
    ( ~ c3_1(a2005)
    | ~ c1_1(a2005)
    | ~ spl0_50
    | ~ spl0_115 ),
    inference(resolution,[],[f454,f791]) ).

fof(f2141,plain,
    ( ~ spl0_23
    | ~ spl0_157
    | ~ spl0_47
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f2136,f453,f440,f1048,f336]) ).

fof(f2136,plain,
    ( ~ c3_1(a2014)
    | ~ c1_1(a2014)
    | ~ spl0_47
    | ~ spl0_50 ),
    inference(resolution,[],[f454,f442]) ).

fof(f2120,plain,
    ( ~ spl0_103
    | ~ spl0_159
    | ~ spl0_40
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f2106,f445,f409,f1073,f723]) ).

fof(f409,plain,
    ( spl0_40
  <=> ! [X76] :
        ( ~ c3_1(X76)
        | ~ c2_1(X76)
        | ~ c1_1(X76) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f2106,plain,
    ( ~ c1_1(a2005)
    | ~ c2_1(a2005)
    | ~ spl0_40
    | ~ spl0_48 ),
    inference(resolution,[],[f410,f447]) ).

fof(f410,plain,
    ( ! [X76] :
        ( ~ c3_1(X76)
        | ~ c1_1(X76)
        | ~ c2_1(X76) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f2118,plain,
    ( ~ spl0_151
    | ~ spl0_183
    | ~ spl0_40
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2105,f682,f409,f1621,f1003]) ).

fof(f2105,plain,
    ( ~ c2_1(a1972)
    | ~ c1_1(a1972)
    | ~ spl0_40
    | ~ spl0_96 ),
    inference(resolution,[],[f410,f684]) ).

fof(f684,plain,
    ( c3_1(a1972)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f2117,plain,
    ( ~ spl0_145
    | ~ spl0_102
    | ~ spl0_40
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f2104,f832,f409,f718,f962]) ).

fof(f962,plain,
    ( spl0_145
  <=> c1_1(a1970) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f718,plain,
    ( spl0_102
  <=> c2_1(a1970) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f832,plain,
    ( spl0_123
  <=> c3_1(a1970) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f2104,plain,
    ( ~ c2_1(a1970)
    | ~ c1_1(a1970)
    | ~ spl0_40
    | ~ spl0_123 ),
    inference(resolution,[],[f410,f834]) ).

fof(f834,plain,
    ( c3_1(a1970)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f2112,plain,
    ( ~ spl0_177
    | ~ spl0_74
    | ~ spl0_40
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f2099,f886,f409,f570,f1454]) ).

fof(f1454,plain,
    ( spl0_177
  <=> c1_1(a2001) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f570,plain,
    ( spl0_74
  <=> c2_1(a2001) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f886,plain,
    ( spl0_132
  <=> c3_1(a2001) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f2099,plain,
    ( ~ c2_1(a2001)
    | ~ c1_1(a2001)
    | ~ spl0_40
    | ~ spl0_132 ),
    inference(resolution,[],[f410,f888]) ).

fof(f888,plain,
    ( c3_1(a2001)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f2089,plain,
    ( spl0_111
    | spl0_162
    | ~ spl0_22
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f2080,f508,f331,f1116,f769]) ).

fof(f331,plain,
    ( spl0_22
  <=> ! [X46] :
        ( c0_1(X46)
        | ~ c1_1(X46)
        | c2_1(X46) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f2080,plain,
    ( c0_1(a1977)
    | c2_1(a1977)
    | ~ spl0_22
    | ~ spl0_62 ),
    inference(resolution,[],[f332,f510]) ).

fof(f332,plain,
    ( ! [X46] :
        ( ~ c1_1(X46)
        | c2_1(X46)
        | c0_1(X46) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f2077,plain,
    ( ~ spl0_15
    | spl0_34
    | ~ spl0_18
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2076,f1057,f316,f381,f302]) ).

fof(f316,plain,
    ( spl0_18
  <=> ! [X92] :
        ( ~ c0_1(X92)
        | ~ c2_1(X92)
        | c3_1(X92) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f2076,plain,
    ( c3_1(a2009)
    | ~ c2_1(a2009)
    | ~ spl0_18
    | ~ spl0_158 ),
    inference(resolution,[],[f1059,f317]) ).

fof(f317,plain,
    ( ! [X92] :
        ( ~ c0_1(X92)
        | ~ c2_1(X92)
        | c3_1(X92) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f316]) ).

fof(f2059,plain,
    ( spl0_53
    | ~ spl0_59
    | ~ spl0_18
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2058,f1011,f316,f495,f468]) ).

fof(f468,plain,
    ( spl0_53
  <=> c3_1(a1991) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f495,plain,
    ( spl0_59
  <=> c2_1(a1991) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1011,plain,
    ( spl0_152
  <=> c0_1(a1991) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f2058,plain,
    ( ~ c2_1(a1991)
    | c3_1(a1991)
    | ~ spl0_18
    | ~ spl0_152 ),
    inference(resolution,[],[f1013,f317]) ).

fof(f1013,plain,
    ( c0_1(a1991)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f1011]) ).

fof(f2044,plain,
    ( spl0_149
    | spl0_130
    | ~ spl0_10
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f2016,f779,f284,f876,f988]) ).

fof(f988,plain,
    ( spl0_149
  <=> c0_1(a1979) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f2016,plain,
    ( c2_1(a1979)
    | c0_1(a1979)
    | ~ spl0_10
    | ~ spl0_113 ),
    inference(resolution,[],[f285,f781]) ).

fof(f2032,plain,
    ( spl0_154
    | spl0_180
    | ~ spl0_10
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f2020,f575,f284,f1547,f1024]) ).

fof(f1024,plain,
    ( spl0_154
  <=> c0_1(a1998) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1547,plain,
    ( spl0_180
  <=> c2_1(a1998) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f575,plain,
    ( spl0_75
  <=> c3_1(a1998) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f2020,plain,
    ( c2_1(a1998)
    | c0_1(a1998)
    | ~ spl0_10
    | ~ spl0_75 ),
    inference(resolution,[],[f285,f577]) ).

fof(f577,plain,
    ( c3_1(a1998)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f1997,plain,
    ( spl0_160
    | ~ spl0_95
    | ~ spl0_18
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1996,f741,f316,f677,f1084]) ).

fof(f741,plain,
    ( spl0_106
  <=> c0_1(a1971) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1996,plain,
    ( ~ c2_1(a1971)
    | c3_1(a1971)
    | ~ spl0_18
    | ~ spl0_106 ),
    inference(resolution,[],[f743,f317]) ).

fof(f743,plain,
    ( c0_1(a1971)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f1899,plain,
    ( ~ spl0_150
    | spl0_154
    | ~ spl0_43
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1880,f575,f423,f1024,f996]) ).

fof(f996,plain,
    ( spl0_150
  <=> c1_1(a1998) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1880,plain,
    ( c0_1(a1998)
    | ~ c1_1(a1998)
    | ~ spl0_43
    | ~ spl0_75 ),
    inference(resolution,[],[f424,f577]) ).

fof(f1893,plain,
    ( ~ spl0_167
    | spl0_149
    | ~ spl0_43
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1876,f779,f423,f988,f1204]) ).

fof(f1876,plain,
    ( c0_1(a1979)
    | ~ c1_1(a1979)
    | ~ spl0_43
    | ~ spl0_113 ),
    inference(resolution,[],[f424,f781]) ).

fof(f1860,plain,
    ( spl0_72
    | spl0_170
    | ~ spl0_39
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1840,f729,f406,f1289,f558]) ).

fof(f1840,plain,
    ( c3_1(a2031)
    | c2_1(a2031)
    | ~ spl0_39
    | spl0_104 ),
    inference(resolution,[],[f407,f731]) ).

fof(f1854,plain,
    ( spl0_66
    | spl0_122
    | ~ spl0_39
    | spl0_98 ),
    inference(avatar_split_clause,[],[f1841,f694,f406,f825,f528]) ).

fof(f528,plain,
    ( spl0_66
  <=> c3_1(a2041) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f825,plain,
    ( spl0_122
  <=> c2_1(a2041) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f694,plain,
    ( spl0_98
  <=> c0_1(a2041) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1841,plain,
    ( c2_1(a2041)
    | c3_1(a2041)
    | ~ spl0_39
    | spl0_98 ),
    inference(resolution,[],[f407,f696]) ).

fof(f696,plain,
    ( ~ c0_1(a2041)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f1851,plain,
    ( spl0_13
    | ~ spl0_26
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1843,f406,f349,f294]) ).

fof(f349,plain,
    ( spl0_26
  <=> ! [X91] :
        ( ~ c0_1(X91)
        | c1_1(X91)
        | c2_1(X91) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1843,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_26
    | ~ spl0_39 ),
    inference(duplicate_literal_removal,[],[f1826]) ).

fof(f1826,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_26
    | ~ spl0_39 ),
    inference(resolution,[],[f407,f350]) ).

fof(f350,plain,
    ( ! [X91] :
        ( ~ c0_1(X91)
        | c1_1(X91)
        | c2_1(X91) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f1848,plain,
    ( spl0_103
    | spl0_48
    | ~ spl0_39
    | spl0_115 ),
    inference(avatar_split_clause,[],[f1842,f789,f406,f445,f723]) ).

fof(f1842,plain,
    ( c3_1(a2005)
    | c2_1(a2005)
    | ~ spl0_39
    | spl0_115 ),
    inference(resolution,[],[f407,f790]) ).

fof(f790,plain,
    ( ~ c0_1(a2005)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f789]) ).

fof(f1791,plain,
    ( spl0_85
    | spl0_34
    | ~ spl0_58
    | spl0_158 ),
    inference(avatar_split_clause,[],[f1790,f1057,f491,f381,f629]) ).

fof(f491,plain,
    ( spl0_58
  <=> ! [X45] :
        ( c0_1(X45)
        | c3_1(X45)
        | c1_1(X45) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f1790,plain,
    ( c3_1(a2009)
    | c1_1(a2009)
    | ~ spl0_58
    | spl0_158 ),
    inference(resolution,[],[f1058,f492]) ).

fof(f492,plain,
    ( ! [X45] :
        ( c0_1(X45)
        | c3_1(X45)
        | c1_1(X45) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f1058,plain,
    ( ~ c0_1(a2009)
    | spl0_158 ),
    inference(avatar_component_clause,[],[f1057]) ).

fof(f1734,plain,
    ( spl0_103
    | spl0_159
    | ~ spl0_13
    | spl0_48 ),
    inference(avatar_split_clause,[],[f1727,f445,f294,f1073,f723]) ).

fof(f1727,plain,
    ( c1_1(a2005)
    | c2_1(a2005)
    | ~ spl0_13
    | spl0_48 ),
    inference(resolution,[],[f295,f446]) ).

fof(f446,plain,
    ( ~ c3_1(a2005)
    | spl0_48 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f1733,plain,
    ( spl0_79
    | spl0_146
    | ~ spl0_13
    | spl0_41 ),
    inference(avatar_split_clause,[],[f1721,f413,f294,f968,f596]) ).

fof(f596,plain,
    ( spl0_79
  <=> c2_1(a1969) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f968,plain,
    ( spl0_146
  <=> c1_1(a1969) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f413,plain,
    ( spl0_41
  <=> c3_1(a1969) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1721,plain,
    ( c1_1(a1969)
    | c2_1(a1969)
    | ~ spl0_13
    | spl0_41 ),
    inference(resolution,[],[f295,f415]) ).

fof(f415,plain,
    ( ~ c3_1(a1969)
    | spl0_41 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f1708,plain,
    ( spl0_117
    | spl0_156
    | ~ spl0_26
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1691,f585,f349,f1043,f799]) ).

fof(f1691,plain,
    ( c1_1(a1996)
    | c2_1(a1996)
    | ~ spl0_26
    | ~ spl0_77 ),
    inference(resolution,[],[f350,f587]) ).

fof(f1677,plain,
    ( spl0_143
    | spl0_173
    | ~ spl0_13
    | spl0_73 ),
    inference(avatar_split_clause,[],[f1667,f564,f294,f1372,f951]) ).

fof(f564,plain,
    ( spl0_73
  <=> c3_1(a2012) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1667,plain,
    ( c1_1(a2012)
    | c2_1(a2012)
    | ~ spl0_13
    | spl0_73 ),
    inference(resolution,[],[f295,f566]) ).

fof(f566,plain,
    ( ~ c3_1(a2012)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f1652,plain,
    ( spl0_117
    | ~ spl0_156
    | ~ spl0_11
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1643,f585,f287,f1043,f799]) ).

fof(f1643,plain,
    ( ~ c1_1(a1996)
    | c2_1(a1996)
    | ~ spl0_11
    | ~ spl0_77 ),
    inference(resolution,[],[f288,f587]) ).

fof(f1636,plain,
    ( spl0_159
    | spl0_48
    | ~ spl0_58
    | spl0_115 ),
    inference(avatar_split_clause,[],[f1635,f789,f491,f445,f1073]) ).

fof(f1635,plain,
    ( c3_1(a2005)
    | c1_1(a2005)
    | ~ spl0_58
    | spl0_115 ),
    inference(resolution,[],[f790,f492]) ).

fof(f1618,plain,
    ( ~ spl0_136
    | spl0_165
    | ~ spl0_4
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1617,f647,f260,f1164,f907]) ).

fof(f260,plain,
    ( spl0_4
  <=> ! [X18] :
        ( ~ c3_1(X18)
        | ~ c2_1(X18)
        | c0_1(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1617,plain,
    ( c0_1(a1987)
    | ~ c2_1(a1987)
    | ~ spl0_4
    | ~ spl0_89 ),
    inference(resolution,[],[f649,f261]) ).

fof(f261,plain,
    ( ! [X18] :
        ( ~ c3_1(X18)
        | ~ c2_1(X18)
        | c0_1(X18) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f1616,plain,
    ( ~ spl0_163
    | spl0_51
    | ~ spl0_4
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1615,f607,f260,f457,f1124]) ).

fof(f457,plain,
    ( spl0_51
  <=> c0_1(a1983) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1615,plain,
    ( c0_1(a1983)
    | ~ c2_1(a1983)
    | ~ spl0_4
    | ~ spl0_81 ),
    inference(resolution,[],[f609,f261]) ).

fof(f1576,plain,
    ( spl0_138
    | spl0_171
    | ~ spl0_58
    | spl0_120 ),
    inference(avatar_split_clause,[],[f1575,f815,f491,f1309,f917]) ).

fof(f815,plain,
    ( spl0_120
  <=> c0_1(a1993) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1575,plain,
    ( c3_1(a1993)
    | c1_1(a1993)
    | ~ spl0_58
    | spl0_120 ),
    inference(resolution,[],[f817,f492]) ).

fof(f817,plain,
    ( ~ c0_1(a1993)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f1574,plain,
    ( ~ spl0_160
    | spl0_76
    | ~ spl0_8
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1573,f741,f277,f580,f1084]) ).

fof(f277,plain,
    ( spl0_8
  <=> ! [X40] :
        ( ~ c3_1(X40)
        | ~ c0_1(X40)
        | c1_1(X40) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1573,plain,
    ( c1_1(a1971)
    | ~ c3_1(a1971)
    | ~ spl0_8
    | ~ spl0_106 ),
    inference(resolution,[],[f743,f278]) ).

fof(f278,plain,
    ( ! [X40] :
        ( ~ c0_1(X40)
        | c1_1(X40)
        | ~ c3_1(X40) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f1550,plain,
    ( spl0_154
    | ~ spl0_180
    | ~ spl0_4
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1545,f575,f260,f1547,f1024]) ).

fof(f1545,plain,
    ( ~ c2_1(a1998)
    | c0_1(a1998)
    | ~ spl0_4
    | ~ spl0_75 ),
    inference(resolution,[],[f577,f261]) ).

fof(f1538,plain,
    ( spl0_144
    | ~ spl0_119
    | ~ spl0_8
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1521,f538,f277,f810,f957]) ).

fof(f1521,plain,
    ( ~ c3_1(a2049)
    | c1_1(a2049)
    | ~ spl0_8
    | ~ spl0_68 ),
    inference(resolution,[],[f278,f540]) ).

fof(f1534,plain,
    ( spl0_159
    | ~ spl0_48
    | ~ spl0_8
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1523,f789,f277,f445,f1073]) ).

fof(f1523,plain,
    ( ~ c3_1(a2005)
    | c1_1(a2005)
    | ~ spl0_8
    | ~ spl0_115 ),
    inference(resolution,[],[f278,f791]) ).

fof(f1532,plain,
    ( ~ spl0_89
    | spl0_129
    | ~ spl0_8
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1513,f1164,f277,f871,f647]) ).

fof(f1513,plain,
    ( c1_1(a1987)
    | ~ c3_1(a1987)
    | ~ spl0_8
    | ~ spl0_165 ),
    inference(resolution,[],[f278,f1166]) ).

fof(f1459,plain,
    ( spl0_177
    | spl0_131
    | ~ spl0_56
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1450,f570,f483,f881,f1454]) ).

fof(f881,plain,
    ( spl0_131
  <=> c0_1(a2001) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f483,plain,
    ( spl0_56
  <=> ! [X53] :
        ( c0_1(X53)
        | ~ c2_1(X53)
        | c1_1(X53) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1450,plain,
    ( c0_1(a2001)
    | c1_1(a2001)
    | ~ spl0_56
    | ~ spl0_74 ),
    inference(resolution,[],[f572,f484]) ).

fof(f484,plain,
    ( ! [X53] :
        ( ~ c2_1(X53)
        | c1_1(X53)
        | c0_1(X53) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f572,plain,
    ( c2_1(a2001)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f1434,plain,
    ( spl0_80
    | spl0_97
    | spl0_28
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f1433,f491,f356,f687,f601]) ).

fof(f601,plain,
    ( spl0_80
  <=> c1_1(a2000) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f687,plain,
    ( spl0_97
  <=> c3_1(a2000) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f356,plain,
    ( spl0_28
  <=> c0_1(a2000) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1433,plain,
    ( c3_1(a2000)
    | c1_1(a2000)
    | spl0_28
    | ~ spl0_58 ),
    inference(resolution,[],[f358,f492]) ).

fof(f358,plain,
    ( ~ c0_1(a2000)
    | spl0_28 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f1428,plain,
    ( spl0_166
    | spl0_135
    | ~ spl0_60
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1418,f760,f501,f902,f1188]) ).

fof(f1418,plain,
    ( c2_1(a1992)
    | c3_1(a1992)
    | ~ spl0_60
    | ~ spl0_110 ),
    inference(resolution,[],[f502,f762]) ).

fof(f762,plain,
    ( c1_1(a1992)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f1318,plain,
    ( spl0_120
    | spl0_138
    | ~ spl0_56
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1313,f897,f483,f917,f815]) ).

fof(f1313,plain,
    ( c1_1(a1993)
    | c0_1(a1993)
    | ~ spl0_56
    | ~ spl0_134 ),
    inference(resolution,[],[f899,f484]) ).

fof(f899,plain,
    ( c2_1(a1993)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f1258,plain,
    ( spl0_129
    | spl0_165
    | ~ spl0_56
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1252,f907,f483,f1164,f871]) ).

fof(f1252,plain,
    ( c0_1(a1987)
    | c1_1(a1987)
    | ~ spl0_56
    | ~ spl0_136 ),
    inference(resolution,[],[f484,f909]) ).

fof(f909,plain,
    ( c2_1(a1987)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f907]) ).

fof(f1257,plain,
    ( spl0_159
    | spl0_115
    | ~ spl0_56
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1254,f723,f483,f789,f1073]) ).

fof(f1254,plain,
    ( c0_1(a2005)
    | c1_1(a2005)
    | ~ spl0_56
    | ~ spl0_103 ),
    inference(resolution,[],[f484,f725]) ).

fof(f1149,plain,
    ( spl0_76
    | ~ spl0_95
    | ~ spl0_33
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1144,f741,f377,f677,f580]) ).

fof(f1144,plain,
    ( ~ c2_1(a1971)
    | c1_1(a1971)
    | ~ spl0_33
    | ~ spl0_106 ),
    inference(resolution,[],[f378,f743]) ).

fof(f1140,plain,
    ( spl0_94
    | spl0_153
    | ~ spl0_26
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1135,f912,f349,f1017,f672]) ).

fof(f672,plain,
    ( spl0_94
  <=> c1_1(a1975) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1017,plain,
    ( spl0_153
  <=> c2_1(a1975) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f912,plain,
    ( spl0_137
  <=> c0_1(a1975) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1135,plain,
    ( c2_1(a1975)
    | c1_1(a1975)
    | ~ spl0_26
    | ~ spl0_137 ),
    inference(resolution,[],[f350,f914]) ).

fof(f914,plain,
    ( c0_1(a1975)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f912]) ).

fof(f1139,plain,
    ( spl0_103
    | spl0_159
    | ~ spl0_26
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1138,f789,f349,f1073,f723]) ).

fof(f1138,plain,
    ( c1_1(a2005)
    | c2_1(a2005)
    | ~ spl0_26
    | ~ spl0_115 ),
    inference(resolution,[],[f350,f791]) ).

fof(f1029,plain,
    ( spl0_67
    | ~ spl0_2
    | spl0_44
    | spl0_18 ),
    inference(avatar_split_clause,[],[f54,f316,f426,f252,f533]) ).

fof(f533,plain,
    ( spl0_67
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f252,plain,
    ( spl0_2
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f426,plain,
    ( spl0_44
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f54,plain,
    ! [X93] :
      ( ~ c0_1(X93)
      | hskp17
      | ~ c2_1(X93)
      | c3_1(X93)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

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

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

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

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

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

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

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

fof(f1028,plain,
    ( ~ spl0_57
    | spl0_2 ),
    inference(avatar_split_clause,[],[f110,f252,f487]) ).

fof(f487,plain,
    ( spl0_57
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f110,plain,
    ( ndr1_0
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1027,plain,
    ( ~ spl0_44
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f14,f1024,f426]) ).

fof(f14,plain,
    ( ~ c0_1(a1998)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1022,plain,
    ( ~ spl0_2
    | spl0_56
    | spl0_67
    | spl0_57 ),
    inference(avatar_split_clause,[],[f22,f487,f533,f483,f252]) ).

fof(f22,plain,
    ! [X106] :
      ( hskp27
      | hskp4
      | c0_1(X106)
      | c1_1(X106)
      | ~ c2_1(X106)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1020,plain,
    ( ~ spl0_67
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f95,f1017,f533]) ).

fof(f95,plain,
    ( ~ c2_1(a1975)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1015,plain,
    ( spl0_10
    | ~ spl0_2
    | spl0_60
    | spl0_61 ),
    inference(avatar_split_clause,[],[f207,f504,f501,f252,f284]) ).

fof(f207,plain,
    ! [X80,X81,X79] :
      ( c1_1(X80)
      | ~ c1_1(X79)
      | ~ ndr1_0
      | c2_1(X81)
      | c3_1(X79)
      | ~ c3_1(X80)
      | c2_1(X80)
      | ~ c3_1(X81)
      | c0_1(X81)
      | c2_1(X79) ),
    inference(duplicate_literal_removal,[],[f78]) ).

fof(f78,plain,
    ! [X80,X81,X79] :
      ( c1_1(X80)
      | c2_1(X79)
      | c3_1(X79)
      | ~ ndr1_0
      | ~ c1_1(X79)
      | ~ ndr1_0
      | ~ c3_1(X81)
      | c2_1(X81)
      | ~ ndr1_0
      | ~ c3_1(X80)
      | c0_1(X81)
      | c2_1(X80) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1014,plain,
    ( ~ spl0_3
    | spl0_152 ),
    inference(avatar_split_clause,[],[f200,f1011,f256]) ).

fof(f256,plain,
    ( spl0_3
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f200,plain,
    ( c0_1(a1991)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1009,plain,
    ( spl0_30
    | spl0_9
    | ~ spl0_2
    | spl0_60 ),
    inference(avatar_split_clause,[],[f208,f501,f252,f280,f365]) ).

fof(f365,plain,
    ( spl0_30
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f208,plain,
    ! [X78,X77] :
      ( c3_1(X78)
      | ~ ndr1_0
      | c3_1(X77)
      | ~ c2_1(X77)
      | c2_1(X78)
      | c0_1(X77)
      | hskp15
      | ~ c1_1(X78) ),
    inference(duplicate_literal_removal,[],[f83]) ).

fof(f83,plain,
    ! [X78,X77] :
      ( hskp15
      | ~ c2_1(X77)
      | ~ ndr1_0
      | c3_1(X77)
      | c2_1(X78)
      | ~ ndr1_0
      | c3_1(X78)
      | ~ c1_1(X78)
      | c0_1(X77) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1008,plain,
    ( spl0_33
    | ~ spl0_2
    | spl0_64
    | spl0_38 ),
    inference(avatar_split_clause,[],[f123,f401,f517,f252,f377]) ).

fof(f517,plain,
    ( spl0_64
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f401,plain,
    ( spl0_38
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f123,plain,
    ! [X61] :
      ( hskp11
      | hskp10
      | ~ ndr1_0
      | ~ c0_1(X61)
      | ~ c2_1(X61)
      | c1_1(X61) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1007,plain,
    ( spl0_29
    | spl0_11
    | spl0_17
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f162,f252,f312,f287,f361]) ).

fof(f361,plain,
    ( spl0_29
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f312,plain,
    ( spl0_17
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f162,plain,
    ! [X29] :
      ( ~ ndr1_0
      | hskp24
      | c2_1(X29)
      | ~ c1_1(X29)
      | ~ c0_1(X29)
      | hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1006,plain,
    ( spl0_151
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f73,f657,f1003]) ).

fof(f657,plain,
    ( spl0_91
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f73,plain,
    ( ~ hskp28
    | c1_1(a1972) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1000,plain,
    ( spl0_25
    | spl0_36
    | ~ spl0_2
    | spl0_18 ),
    inference(avatar_split_clause,[],[f180,f316,f252,f391,f345]) ).

fof(f345,plain,
    ( spl0_25
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f391,plain,
    ( spl0_36
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f180,plain,
    ! [X6] :
      ( ~ c2_1(X6)
      | ~ ndr1_0
      | hskp12
      | hskp0
      | c3_1(X6)
      | ~ c0_1(X6) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f999,plain,
    ( ~ spl0_44
    | spl0_150 ),
    inference(avatar_split_clause,[],[f12,f996,f426]) ).

fof(f12,plain,
    ( c1_1(a1998)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f994,plain,
    ( ~ spl0_2
    | spl0_45
    | spl0_64
    | spl0_61 ),
    inference(avatar_split_clause,[],[f181,f504,f517,f431,f252]) ).

fof(f431,plain,
    ( spl0_45
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f181,plain,
    ! [X5] :
      ( c1_1(X5)
      | hskp10
      | hskp1
      | ~ ndr1_0
      | c2_1(X5)
      | ~ c3_1(X5) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f993,plain,
    ( ~ spl0_2
    | spl0_35
    | spl0_8
    | spl0_30 ),
    inference(avatar_split_clause,[],[f118,f365,f277,f386,f252]) ).

fof(f386,plain,
    ( spl0_35
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f118,plain,
    ! [X62] :
      ( hskp15
      | ~ c0_1(X62)
      | ~ c3_1(X62)
      | c1_1(X62)
      | hskp30
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f991,plain,
    ( ~ spl0_149
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f189,f775,f988]) ).

fof(f775,plain,
    ( spl0_112
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f189,plain,
    ( ~ hskp6
    | ~ c0_1(a1979) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f984,plain,
    ( ~ spl0_5
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f46,f981,f264]) ).

fof(f264,plain,
    ( spl0_5
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f46,plain,
    ( ~ c3_1(a1985)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f979,plain,
    ( ~ spl0_112
    | spl0_2 ),
    inference(avatar_split_clause,[],[f186,f252,f775]) ).

fof(f186,plain,
    ( ndr1_0
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f978,plain,
    ( spl0_64
    | ~ spl0_2
    | spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f210,f287,f284,f252,f517]) ).

fof(f210,plain,
    ! [X31,X30] :
      ( ~ c0_1(X31)
      | c0_1(X30)
      | c2_1(X31)
      | ~ c1_1(X31)
      | ~ c3_1(X30)
      | ~ ndr1_0
      | c2_1(X30)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f161]) ).

fof(f161,plain,
    ! [X31,X30] :
      ( c2_1(X31)
      | c0_1(X30)
      | ~ ndr1_0
      | c2_1(X30)
      | ~ c0_1(X31)
      | hskp10
      | ~ c1_1(X31)
      | ~ ndr1_0
      | ~ c3_1(X30) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f971,plain,
    ( ~ spl0_146
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f167,f345,f968]) ).

fof(f167,plain,
    ( ~ hskp0
    | ~ c1_1(a1969) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f965,plain,
    ( spl0_145
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f107,f487,f962]) ).

fof(f107,plain,
    ( ~ hskp27
    | c1_1(a1970) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f960,plain,
    ( ~ spl0_144
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f48,f542,f957]) ).

fof(f542,plain,
    ( spl0_69
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f48,plain,
    ( ~ hskp26
    | ~ c1_1(a2049) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f954,plain,
    ( ~ spl0_46
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f155,f951,f435]) ).

fof(f435,plain,
    ( spl0_46
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f155,plain,
    ( ~ c2_1(a2012)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f948,plain,
    ( ~ spl0_99
    | spl0_142 ),
    inference(avatar_split_clause,[],[f184,f945,f699]) ).

fof(f699,plain,
    ( spl0_99
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f184,plain,
    ( c3_1(a1973)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f943,plain,
    ( ~ spl0_141
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f185,f699,f940]) ).

fof(f185,plain,
    ( ~ hskp2
    | ~ c2_1(a1973) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f938,plain,
    ( spl0_19
    | ~ spl0_2
    | spl0_69
    | spl0_50 ),
    inference(avatar_split_clause,[],[f8,f453,f542,f252,f319]) ).

fof(f319,plain,
    ( spl0_19
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f8,plain,
    ! [X121] :
      ( ~ c1_1(X121)
      | ~ c3_1(X121)
      | ~ c0_1(X121)
      | hskp26
      | ~ ndr1_0
      | hskp25 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f934,plain,
    ( spl0_57
    | spl0_112
    | spl0_35 ),
    inference(avatar_split_clause,[],[f117,f386,f775,f487]) ).

fof(f117,plain,
    ( hskp30
    | hskp6
    | hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f933,plain,
    ( spl0_140
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f156,f435,f930]) ).

fof(f156,plain,
    ( ~ hskp22
    | c0_1(a2012) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f928,plain,
    ( ~ spl0_2
    | spl0_4
    | spl0_8
    | spl0_70 ),
    inference(avatar_split_clause,[],[f211,f548,f277,f260,f252]) ).

fof(f548,plain,
    ( spl0_70
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f211,plain,
    ! [X86,X87] :
      ( hskp19
      | c1_1(X86)
      | ~ c0_1(X86)
      | c0_1(X87)
      | ~ c3_1(X86)
      | ~ ndr1_0
      | ~ c2_1(X87)
      | ~ c3_1(X87) ),
    inference(duplicate_literal_removal,[],[f67]) ).

fof(f67,plain,
    ! [X86,X87] :
      ( c0_1(X87)
      | ~ c3_1(X86)
      | ~ ndr1_0
      | ~ c2_1(X87)
      | ~ c0_1(X86)
      | c1_1(X86)
      | ~ ndr1_0
      | hskp19
      | ~ c3_1(X87) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f921,plain,
    ( spl0_112
    | spl0_8
    | ~ spl0_2
    | spl0_16 ),
    inference(avatar_split_clause,[],[f15,f307,f252,f277,f775]) ).

fof(f307,plain,
    ( spl0_16
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f15,plain,
    ! [X117] :
      ( hskp18
      | ~ ndr1_0
      | c1_1(X117)
      | hskp6
      | ~ c3_1(X117)
      | ~ c0_1(X117) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f920,plain,
    ( ~ spl0_138
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f63,f365,f917]) ).

fof(f63,plain,
    ( ~ hskp15
    | ~ c1_1(a1993) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f915,plain,
    ( spl0_137
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f97,f533,f912]) ).

fof(f97,plain,
    ( ~ hskp4
    | c0_1(a1975) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f910,plain,
    ( spl0_136
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f79,f517,f907]) ).

fof(f79,plain,
    ( ~ hskp10
    | c2_1(a1987) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f905,plain,
    ( ~ spl0_7
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f153,f902,f273]) ).

fof(f273,plain,
    ( spl0_7
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f153,plain,
    ( ~ c2_1(a1992)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f900,plain,
    ( spl0_134
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f64,f365,f897]) ).

fof(f64,plain,
    ( ~ hskp15
    | c2_1(a1993) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f895,plain,
    ( spl0_99
    | spl0_13
    | spl0_56
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f212,f252,f483,f294,f699]) ).

fof(f212,plain,
    ! [X96,X97] :
      ( ~ ndr1_0
      | ~ c2_1(X97)
      | c0_1(X97)
      | c3_1(X96)
      | hskp2
      | c1_1(X96)
      | c2_1(X96)
      | c1_1(X97) ),
    inference(duplicate_literal_removal,[],[f52]) ).

fof(f52,plain,
    ! [X96,X97] :
      ( c0_1(X97)
      | c1_1(X96)
      | hskp2
      | c1_1(X97)
      | c3_1(X96)
      | ~ c2_1(X97)
      | c2_1(X96)
      | ~ ndr1_0
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f894,plain,
    ( ~ spl0_133
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f125,f373,f891]) ).

fof(f373,plain,
    ( spl0_32
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f125,plain,
    ( ~ hskp8
    | ~ c1_1(a1983) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f889,plain,
    ( spl0_132
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f29,f548,f886]) ).

fof(f29,plain,
    ( ~ hskp19
    | c3_1(a2001) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f884,plain,
    ( ~ spl0_70
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f28,f881,f548]) ).

fof(f28,plain,
    ( ~ c0_1(a2001)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f879,plain,
    ( ~ spl0_130
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f187,f775,f876]) ).

fof(f187,plain,
    ( ~ hskp6
    | ~ c2_1(a1979) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f874,plain,
    ( ~ spl0_64
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f81,f871,f517]) ).

fof(f81,plain,
    ( ~ c1_1(a1987)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f869,plain,
    ( spl0_128
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f183,f699,f866]) ).

fof(f183,plain,
    ( ~ hskp2
    | c1_1(a1973) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f861,plain,
    ( spl0_58
    | spl0_33
    | ~ spl0_2
    | spl0_61 ),
    inference(avatar_split_clause,[],[f214,f504,f252,f377,f491]) ).

fof(f214,plain,
    ! [X68,X69,X67] :
      ( c1_1(X67)
      | ~ ndr1_0
      | c1_1(X68)
      | c0_1(X69)
      | ~ c0_1(X68)
      | ~ c3_1(X67)
      | c3_1(X69)
      | c1_1(X69)
      | c2_1(X67)
      | ~ c2_1(X68) ),
    inference(duplicate_literal_removal,[],[f101]) ).

fof(f101,plain,
    ! [X68,X69,X67] :
      ( ~ c2_1(X68)
      | c2_1(X67)
      | c1_1(X67)
      | ~ c0_1(X68)
      | c1_1(X69)
      | ~ ndr1_0
      | ~ ndr1_0
      | c1_1(X68)
      | ~ c3_1(X67)
      | ~ ndr1_0
      | c0_1(X69)
      | c3_1(X69) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f848,plain,
    ( ~ spl0_2
    | spl0_40
    | spl0_57
    | spl0_78 ),
    inference(avatar_split_clause,[],[f216,f592,f487,f409,f252]) ).

fof(f216,plain,
    ! [X19,X20] :
      ( ~ c3_1(X19)
      | hskp27
      | ~ c3_1(X20)
      | ~ c2_1(X19)
      | ~ c1_1(X20)
      | ~ c2_1(X20)
      | ~ ndr1_0
      | c1_1(X19) ),
    inference(duplicate_literal_removal,[],[f173]) ).

fof(f173,plain,
    ! [X19,X20] :
      ( ~ c3_1(X20)
      | c1_1(X19)
      | ~ c3_1(X19)
      | ~ ndr1_0
      | hskp27
      | ~ c2_1(X20)
      | ~ c2_1(X19)
      | ~ ndr1_0
      | ~ c1_1(X20) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f835,plain,
    ( ~ spl0_57
    | spl0_123 ),
    inference(avatar_split_clause,[],[f109,f832,f487]) ).

fof(f109,plain,
    ( c3_1(a1970)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f828,plain,
    ( ~ spl0_122
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f148,f319,f825]) ).

fof(f148,plain,
    ( ~ hskp25
    | ~ c2_1(a2041) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f823,plain,
    ( spl0_35
    | spl0_26
    | ~ spl0_2
    | spl0_63 ),
    inference(avatar_split_clause,[],[f36,f512,f252,f349,f386]) ).

fof(f512,plain,
    ( spl0_63
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f36,plain,
    ! [X103] :
      ( hskp5
      | ~ ndr1_0
      | ~ c0_1(X103)
      | c1_1(X103)
      | c2_1(X103)
      | hskp30 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f818,plain,
    ( ~ spl0_120
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f65,f365,f815]) ).

fof(f65,plain,
    ( ~ hskp15
    | ~ c0_1(a1993) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f813,plain,
    ( spl0_119
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f50,f542,f810]) ).

fof(f50,plain,
    ( ~ hskp26
    | c3_1(a2049) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f807,plain,
    ( ~ spl0_118
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f58,f401,f804]) ).

fof(f58,plain,
    ( ~ hskp11
    | ~ c0_1(a1989) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f802,plain,
    ( ~ spl0_29
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f205,f799,f361]) ).

fof(f205,plain,
    ( ~ c2_1(a1996)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f797,plain,
    ( ~ spl0_116
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f133,f312,f794]) ).

fof(f133,plain,
    ( ~ hskp24
    | ~ c1_1(a2031) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f792,plain,
    ( ~ spl0_35
    | spl0_115 ),
    inference(avatar_split_clause,[],[f114,f789,f386]) ).

fof(f114,plain,
    ( c0_1(a2005)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f787,plain,
    ( ~ spl0_36
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f195,f784,f391]) ).

fof(f195,plain,
    ( ~ c1_1(a1990)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f782,plain,
    ( ~ spl0_112
    | spl0_113 ),
    inference(avatar_split_clause,[],[f188,f779,f775]) ).

fof(f188,plain,
    ( c3_1(a1979)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f773,plain,
    ( spl0_38
    | spl0_5
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_split_clause,[],[f172,f284,f252,f264,f401]) ).

fof(f172,plain,
    ! [X21] :
      ( c2_1(X21)
      | ~ ndr1_0
      | hskp9
      | ~ c3_1(X21)
      | hskp11
      | c0_1(X21) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f772,plain,
    ( ~ spl0_111
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f25,f512,f769]) ).

fof(f25,plain,
    ( ~ hskp5
    | ~ c2_1(a1977) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f767,plain,
    ( spl0_78
    | spl0_64
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f99,f252,f517,f592]) ).

fof(f99,plain,
    ! [X71] :
      ( ~ ndr1_0
      | hskp10
      | ~ c2_1(X71)
      | c1_1(X71)
      | ~ c3_1(X71) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f765,plain,
    ( spl0_3
    | spl0_43
    | ~ spl0_2
    | spl0_9 ),
    inference(avatar_split_clause,[],[f221,f280,f252,f423,f256]) ).

fof(f221,plain,
    ! [X94,X95] :
      ( c0_1(X95)
      | ~ ndr1_0
      | ~ c2_1(X95)
      | c3_1(X95)
      | ~ c3_1(X94)
      | hskp13
      | ~ c1_1(X94)
      | c0_1(X94) ),
    inference(duplicate_literal_removal,[],[f53]) ).

fof(f53,plain,
    ! [X94,X95] :
      ( hskp13
      | ~ c1_1(X94)
      | ~ ndr1_0
      | c0_1(X95)
      | ~ c2_1(X95)
      | c0_1(X94)
      | ~ c3_1(X94)
      | ~ ndr1_0
      | c3_1(X95) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f764,plain,
    ( ~ spl0_2
    | spl0_43
    | spl0_16
    | spl0_67 ),
    inference(avatar_split_clause,[],[f37,f533,f307,f423,f252]) ).

fof(f37,plain,
    ! [X102] :
      ( hskp4
      | hskp18
      | ~ c1_1(X102)
      | ~ ndr1_0
      | ~ c3_1(X102)
      | c0_1(X102) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f763,plain,
    ( ~ spl0_7
    | spl0_110 ),
    inference(avatar_split_clause,[],[f151,f760,f273]) ).

fof(f151,plain,
    ( c1_1(a1992)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f754,plain,
    ( spl0_108
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f197,f391,f751]) ).

fof(f197,plain,
    ( ~ hskp12
    | c3_1(a1990) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f749,plain,
    ( ~ spl0_107
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f150,f273,f746]) ).

fof(f150,plain,
    ( ~ hskp14
    | ~ c0_1(a1992) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f744,plain,
    ( ~ spl0_45
    | spl0_106 ),
    inference(avatar_split_clause,[],[f136,f741,f431]) ).

fof(f136,plain,
    ( c0_1(a1971)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f733,plain,
    ( ~ spl0_2
    | spl0_32
    | spl0_91
    | spl0_22 ),
    inference(avatar_split_clause,[],[f169,f331,f657,f373,f252]) ).

fof(f169,plain,
    ! [X23] :
      ( c0_1(X23)
      | hskp28
      | ~ c1_1(X23)
      | hskp8
      | c2_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f732,plain,
    ( ~ spl0_104
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f130,f312,f729]) ).

fof(f130,plain,
    ( ~ hskp24
    | ~ c0_1(a2031) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f726,plain,
    ( spl0_103
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f112,f386,f723]) ).

fof(f112,plain,
    ( ~ hskp30
    | c2_1(a2005) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f721,plain,
    ( ~ spl0_57
    | spl0_102 ),
    inference(avatar_split_clause,[],[f108,f718,f487]) ).

fof(f108,plain,
    ( c2_1(a1970)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f715,plain,
    ( spl0_16
    | spl0_14
    | spl0_29 ),
    inference(avatar_split_clause,[],[f21,f361,f298,f307]) ).

fof(f298,plain,
    ( spl0_14
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f21,plain,
    ( hskp16
    | hskp21
    | hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f714,plain,
    ( ~ spl0_63
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f24,f711,f512]) ).

fof(f24,plain,
    ( ~ c3_1(a1977)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f704,plain,
    ( spl0_29
    | ~ spl0_2
    | spl0_50
    | spl0_43 ),
    inference(avatar_split_clause,[],[f225,f423,f453,f252,f361]) ).

fof(f225,plain,
    ! [X36,X35] :
      ( c0_1(X35)
      | ~ c3_1(X36)
      | ~ ndr1_0
      | ~ c1_1(X35)
      | ~ c3_1(X35)
      | hskp16
      | ~ c1_1(X36)
      | ~ c0_1(X36) ),
    inference(duplicate_literal_removal,[],[f159]) ).

fof(f159,plain,
    ! [X36,X35] :
      ( hskp16
      | ~ c3_1(X36)
      | ~ c0_1(X36)
      | ~ ndr1_0
      | ~ c1_1(X35)
      | ~ ndr1_0
      | c0_1(X35)
      | ~ c3_1(X35)
      | ~ c1_1(X36) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f702,plain,
    ( spl0_46
    | spl0_99
    | ~ spl0_2
    | spl0_61 ),
    inference(avatar_split_clause,[],[f76,f504,f252,f699,f435]) ).

fof(f76,plain,
    ! [X85] :
      ( c1_1(X85)
      | ~ c3_1(X85)
      | ~ ndr1_0
      | c2_1(X85)
      | hskp2
      | hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f697,plain,
    ( ~ spl0_98
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f146,f319,f694]) ).

fof(f146,plain,
    ( ~ hskp25
    | ~ c0_1(a2041) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f691,plain,
    ( ~ spl0_2
    | spl0_4
    | spl0_11 ),
    inference(avatar_split_clause,[],[f226,f287,f260,f252]) ).

fof(f226,plain,
    ! [X111,X110] :
      ( ~ c1_1(X110)
      | ~ c0_1(X110)
      | ~ c2_1(X111)
      | c2_1(X110)
      | ~ c3_1(X111)
      | ~ ndr1_0
      | c0_1(X111) ),
    inference(duplicate_literal_removal,[],[f19]) ).

fof(f19,plain,
    ! [X111,X110] :
      ( ~ c1_1(X110)
      | ~ c2_1(X111)
      | c0_1(X111)
      | ~ c0_1(X110)
      | c2_1(X110)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c3_1(X111) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f690,plain,
    ( ~ spl0_16
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f41,f687,f307]) ).

fof(f41,plain,
    ( ~ c3_1(a2000)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f685,plain,
    ( ~ spl0_91
    | spl0_96 ),
    inference(avatar_split_clause,[],[f72,f682,f657]) ).

fof(f72,plain,
    ( c3_1(a1972)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f680,plain,
    ( ~ spl0_45
    | spl0_95 ),
    inference(avatar_split_clause,[],[f135,f677,f431]) ).

fof(f135,plain,
    ( c2_1(a1971)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f675,plain,
    ( ~ spl0_94
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f98,f533,f672]) ).

fof(f98,plain,
    ( ~ hskp4
    | ~ c1_1(a1975) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f665,plain,
    ( spl0_92
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f75,f657,f662]) ).

fof(f75,plain,
    ( ~ hskp28
    | c0_1(a1972) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f660,plain,
    ( ~ spl0_2
    | spl0_40
    | spl0_91
    | spl0_58 ),
    inference(avatar_split_clause,[],[f227,f491,f657,f409,f252]) ).

fof(f227,plain,
    ! [X54,X55] :
      ( c1_1(X54)
      | hskp28
      | ~ c3_1(X55)
      | c3_1(X54)
      | ~ ndr1_0
      | ~ c1_1(X55)
      | ~ c2_1(X55)
      | c0_1(X54) ),
    inference(duplicate_literal_removal,[],[f134]) ).

fof(f134,plain,
    ! [X54,X55] :
      ( ~ c3_1(X55)
      | c3_1(X54)
      | ~ ndr1_0
      | c1_1(X54)
      | ~ c2_1(X55)
      | hskp28
      | ~ c1_1(X55)
      | c0_1(X54)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f650,plain,
    ( ~ spl0_64
    | spl0_89 ),
    inference(avatar_split_clause,[],[f82,f647,f517]) ).

fof(f82,plain,
    ( c3_1(a1987)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f632,plain,
    ( ~ spl0_14
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f121,f629,f298]) ).

fof(f121,plain,
    ( ~ c1_1(a2009)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f627,plain,
    ( spl0_84
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f60,f401,f624]) ).

fof(f60,plain,
    ( ~ hskp11
    | c2_1(a1989) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f622,plain,
    ( spl0_83
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f44,f264,f619]) ).

fof(f44,plain,
    ( ~ hskp9
    | c1_1(a1985) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f611,plain,
    ( ~ spl0_2
    | spl0_45
    | spl0_58
    | spl0_11 ),
    inference(avatar_split_clause,[],[f230,f287,f491,f431,f252]) ).

fof(f230,plain,
    ! [X56,X57] :
      ( ~ c0_1(X56)
      | c1_1(X57)
      | hskp1
      | ~ ndr1_0
      | c0_1(X57)
      | c3_1(X57)
      | c2_1(X56)
      | ~ c1_1(X56) ),
    inference(duplicate_literal_removal,[],[f129]) ).

fof(f129,plain,
    ! [X56,X57] :
      ( hskp1
      | ~ ndr1_0
      | ~ c1_1(X56)
      | c1_1(X57)
      | c0_1(X57)
      | c2_1(X56)
      | c3_1(X57)
      | ~ ndr1_0
      | ~ c0_1(X56) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f610,plain,
    ( ~ spl0_32
    | spl0_81 ),
    inference(avatar_split_clause,[],[f127,f607,f373]) ).

fof(f127,plain,
    ( c3_1(a1983)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f605,plain,
    ( ~ spl0_2
    | spl0_49
    | spl0_26
    | spl0_78 ),
    inference(avatar_split_clause,[],[f231,f592,f349,f450,f252]) ).

fof(f231,plain,
    ! [X10,X11,X9] :
      ( c1_1(X9)
      | c1_1(X11)
      | ~ c3_1(X10)
      | ~ c3_1(X9)
      | ~ c2_1(X9)
      | c2_1(X10)
      | ~ c0_1(X11)
      | ~ ndr1_0
      | c2_1(X11)
      | ~ c1_1(X10) ),
    inference(duplicate_literal_removal,[],[f178]) ).

fof(f178,plain,
    ! [X10,X11,X9] :
      ( ~ c3_1(X9)
      | ~ ndr1_0
      | ~ c0_1(X11)
      | c2_1(X10)
      | ~ c1_1(X10)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c2_1(X9)
      | ~ c3_1(X10)
      | c1_1(X11)
      | c2_1(X11)
      | c1_1(X9) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f604,plain,
    ( ~ spl0_80
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f42,f307,f601]) ).

fof(f42,plain,
    ( ~ hskp18
    | ~ c1_1(a2000) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f599,plain,
    ( ~ spl0_79
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f166,f345,f596]) ).

fof(f166,plain,
    ( ~ hskp0
    | ~ c2_1(a1969) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f594,plain,
    ( ~ spl0_2
    | spl0_33
    | spl0_78
    | spl0_26 ),
    inference(avatar_split_clause,[],[f232,f349,f592,f377,f252]) ).

fof(f232,plain,
    ! [X82,X83,X84] :
      ( c1_1(X84)
      | ~ c3_1(X83)
      | c1_1(X82)
      | c1_1(X83)
      | ~ ndr1_0
      | ~ c2_1(X83)
      | ~ c0_1(X84)
      | ~ c0_1(X82)
      | ~ c2_1(X82)
      | c2_1(X84) ),
    inference(duplicate_literal_removal,[],[f77]) ).

fof(f77,plain,
    ! [X82,X83,X84] :
      ( ~ ndr1_0
      | ~ ndr1_0
      | c1_1(X84)
      | ~ c0_1(X84)
      | ~ ndr1_0
      | ~ c3_1(X83)
      | ~ c2_1(X82)
      | ~ c0_1(X82)
      | c2_1(X84)
      | ~ c2_1(X83)
      | c1_1(X82)
      | c1_1(X83) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f590,plain,
    ( spl0_24
    | spl0_63
    | spl0_32 ),
    inference(avatar_split_clause,[],[f170,f373,f512,f340]) ).

fof(f340,plain,
    ( spl0_24
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f170,plain,
    ( hskp8
    | hskp5
    | hskp23 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f589,plain,
    ( ~ spl0_2
    | spl0_40
    | spl0_38
    | spl0_67 ),
    inference(avatar_split_clause,[],[f171,f533,f401,f409,f252]) ).

fof(f171,plain,
    ! [X22] :
      ( hskp4
      | hskp11
      | ~ c2_1(X22)
      | ~ ndr1_0
      | ~ c1_1(X22)
      | ~ c3_1(X22) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f588,plain,
    ( spl0_77
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f206,f361,f585]) ).

fof(f206,plain,
    ( ~ hskp16
    | c0_1(a1996) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f583,plain,
    ( ~ spl0_45
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f138,f580,f431]) ).

fof(f138,plain,
    ( ~ c1_1(a1971)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f578,plain,
    ( ~ spl0_44
    | spl0_75 ),
    inference(avatar_split_clause,[],[f13,f575,f426]) ).

fof(f13,plain,
    ( c3_1(a1998)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f573,plain,
    ( ~ spl0_70
    | spl0_74 ),
    inference(avatar_split_clause,[],[f31,f570,f548]) ).

fof(f31,plain,
    ( c2_1(a2001)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f567,plain,
    ( ~ spl0_73
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f157,f435,f564]) ).

fof(f157,plain,
    ( ~ hskp22
    | ~ c3_1(a2012) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f561,plain,
    ( ~ spl0_72
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f132,f312,f558]) ).

fof(f132,plain,
    ( ~ hskp24
    | ~ c2_1(a2031) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f556,plain,
    ( ~ spl0_38
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f57,f553,f401]) ).

fof(f57,plain,
    ( ~ c3_1(a1989)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f551,plain,
    ( spl0_29
    | spl0_30
    | spl0_70 ),
    inference(avatar_split_clause,[],[f190,f548,f365,f361]) ).

fof(f190,plain,
    ( hskp19
    | hskp15
    | hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f546,plain,
    ( ~ spl0_2
    | spl0_10
    | spl0_26
    | spl0_11 ),
    inference(avatar_split_clause,[],[f233,f287,f349,f284,f252]) ).

fof(f233,plain,
    ! [X58,X59,X60] :
      ( ~ c0_1(X60)
      | c2_1(X59)
      | ~ c3_1(X58)
      | c2_1(X58)
      | c2_1(X60)
      | c1_1(X59)
      | ~ c1_1(X60)
      | c0_1(X58)
      | ~ ndr1_0
      | ~ c0_1(X59) ),
    inference(duplicate_literal_removal,[],[f128]) ).

fof(f128,plain,
    ! [X58,X59,X60] :
      ( c2_1(X58)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c1_1(X60)
      | ~ ndr1_0
      | c0_1(X58)
      | c2_1(X60)
      | ~ c0_1(X59)
      | c2_1(X59)
      | c1_1(X59)
      | ~ c0_1(X60)
      | ~ c3_1(X58) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f545,plain,
    ( spl0_68
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f49,f542,f538]) ).

fof(f49,plain,
    ( ~ hskp26
    | c0_1(a2049) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f536,plain,
    ( ~ spl0_2
    | spl0_64
    | spl0_67
    | spl0_26 ),
    inference(avatar_split_clause,[],[f175,f349,f533,f517,f252]) ).

fof(f175,plain,
    ! [X17] :
      ( c2_1(X17)
      | hskp4
      | hskp10
      | c1_1(X17)
      | ~ c0_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f531,plain,
    ( ~ spl0_19
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f149,f528,f319]) ).

fof(f149,plain,
    ( ~ c3_1(a2041)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f521,plain,
    ( spl0_36
    | ~ spl0_2
    | spl0_38
    | spl0_49 ),
    inference(avatar_split_clause,[],[f116,f450,f401,f252,f391]) ).

fof(f116,plain,
    ! [X63] :
      ( c2_1(X63)
      | ~ c1_1(X63)
      | hskp11
      | ~ ndr1_0
      | ~ c3_1(X63)
      | hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f520,plain,
    ( spl0_64
    | ~ spl0_2
    | spl0_18
    | spl0_50 ),
    inference(avatar_split_clause,[],[f234,f453,f316,f252,f517]) ).

fof(f234,plain,
    ! [X8,X7] :
      ( ~ c0_1(X8)
      | ~ c1_1(X8)
      | ~ c0_1(X7)
      | ~ ndr1_0
      | ~ c3_1(X8)
      | c3_1(X7)
      | ~ c2_1(X7)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f179]) ).

fof(f179,plain,
    ! [X8,X7] :
      ( ~ c1_1(X8)
      | ~ ndr1_0
      | hskp10
      | c3_1(X7)
      | ~ ndr1_0
      | ~ c0_1(X7)
      | ~ c0_1(X8)
      | ~ c2_1(X7)
      | ~ c3_1(X8) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f515,plain,
    ( spl0_62
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f26,f512,f508]) ).

fof(f26,plain,
    ( ~ hskp5
    | c1_1(a1977) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f506,plain,
    ( spl0_14
    | ~ spl0_2
    | spl0_60
    | spl0_61 ),
    inference(avatar_split_clause,[],[f235,f504,f501,f252,f298]) ).

fof(f235,plain,
    ! [X24,X25] :
      ( c1_1(X25)
      | c3_1(X24)
      | ~ ndr1_0
      | ~ c1_1(X24)
      | c2_1(X24)
      | ~ c3_1(X25)
      | c2_1(X25)
      | hskp21 ),
    inference(duplicate_literal_removal,[],[f164]) ).

fof(f164,plain,
    ! [X24,X25] :
      ( ~ ndr1_0
      | ~ c1_1(X24)
      | hskp21
      | c3_1(X24)
      | c2_1(X24)
      | ~ ndr1_0
      | c1_1(X25)
      | c2_1(X25)
      | ~ c3_1(X25) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f498,plain,
    ( ~ spl0_3
    | spl0_59 ),
    inference(avatar_split_clause,[],[f202,f495,f256]) ).

fof(f202,plain,
    ( c2_1(a1991)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f493,plain,
    ( ~ spl0_2
    | spl0_39
    | spl0_57
    | spl0_58 ),
    inference(avatar_split_clause,[],[f236,f491,f487,f406,f252]) ).

fof(f236,plain,
    ! [X44,X45] :
      ( c0_1(X45)
      | hskp27
      | c3_1(X44)
      | ~ ndr1_0
      | c2_1(X44)
      | c0_1(X44)
      | c1_1(X45)
      | c3_1(X45) ),
    inference(duplicate_literal_removal,[],[f143]) ).

fof(f143,plain,
    ! [X44,X45] :
      ( hskp27
      | c0_1(X44)
      | c1_1(X45)
      | c3_1(X45)
      | ~ ndr1_0
      | c3_1(X44)
      | c0_1(X45)
      | ~ ndr1_0
      | c2_1(X44) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f477,plain,
    ( ~ spl0_36
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f196,f474,f391]) ).

fof(f196,plain,
    ( ~ c2_1(a1990)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f471,plain,
    ( ~ spl0_3
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f199,f468,f256]) ).

fof(f199,plain,
    ( ~ c3_1(a1991)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f465,plain,
    ( ~ spl0_29
    | spl0_52 ),
    inference(avatar_split_clause,[],[f203,f462,f361]) ).

fof(f203,plain,
    ( c3_1(a1996)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f460,plain,
    ( ~ spl0_32
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f124,f457,f373]) ).

fof(f124,plain,
    ( ~ c0_1(a1983)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f448,plain,
    ( ~ spl0_35
    | spl0_48 ),
    inference(avatar_split_clause,[],[f111,f445,f386]) ).

fof(f111,plain,
    ( c3_1(a2005)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f443,plain,
    ( ~ spl0_24
    | spl0_47 ),
    inference(avatar_split_clause,[],[f104,f440,f340]) ).

fof(f104,plain,
    ( c0_1(a2014)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f429,plain,
    ( spl0_43
    | spl0_3
    | ~ spl0_2
    | spl0_44 ),
    inference(avatar_split_clause,[],[f66,f426,f252,f256,f423]) ).

fof(f66,plain,
    ! [X88] :
      ( hskp17
      | ~ ndr1_0
      | hskp13
      | ~ c1_1(X88)
      | ~ c3_1(X88)
      | c0_1(X88) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f416,plain,
    ( ~ spl0_41
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f165,f345,f413]) ).

fof(f165,plain,
    ( ~ hskp0
    | ~ c3_1(a1969) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f411,plain,
    ( ~ spl0_2
    | spl0_39
    | spl0_40 ),
    inference(avatar_split_clause,[],[f239,f409,f406,f252]) ).

fof(f239,plain,
    ! [X76,X75] :
      ( ~ c3_1(X76)
      | ~ c1_1(X76)
      | c2_1(X75)
      | c3_1(X75)
      | ~ ndr1_0
      | ~ c2_1(X76)
      | c0_1(X75) ),
    inference(duplicate_literal_removal,[],[f84]) ).

fof(f84,plain,
    ! [X76,X75] :
      ( ~ ndr1_0
      | ~ c1_1(X76)
      | ~ ndr1_0
      | c0_1(X75)
      | ~ c2_1(X76)
      | c2_1(X75)
      | c3_1(X75)
      | ~ c3_1(X76) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f399,plain,
    ( ~ spl0_37
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f105,f340,f396]) ).

fof(f105,plain,
    ( ~ hskp23
    | ~ c2_1(a2014) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f394,plain,
    ( spl0_36
    | spl0_13
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_split_clause,[],[f240,f287,f252,f294,f391]) ).

fof(f240,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | c3_1(X1)
      | hskp12 ),
    inference(duplicate_literal_removal,[],[f194]) ).

fof(f194,plain,
    ! [X0,X1] :
      ( c2_1(X1)
      | hskp12
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f389,plain,
    ( ~ spl0_35
    | spl0_2 ),
    inference(avatar_split_clause,[],[f113,f252,f386]) ).

fof(f113,plain,
    ( ndr1_0
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f384,plain,
    ( ~ spl0_14
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f119,f381,f298]) ).

fof(f119,plain,
    ( ~ c3_1(a2009)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f379,plain,
    ( spl0_32
    | ~ spl0_2
    | spl0_10
    | spl0_33 ),
    inference(avatar_split_clause,[],[f241,f377,f284,f252,f373]) ).

fof(f241,plain,
    ! [X116,X115] :
      ( c1_1(X116)
      | c0_1(X115)
      | ~ c0_1(X116)
      | ~ c2_1(X116)
      | ~ ndr1_0
      | c2_1(X115)
      | hskp8
      | ~ c3_1(X115) ),
    inference(duplicate_literal_removal,[],[f16]) ).

fof(f16,plain,
    ! [X116,X115] :
      ( ~ ndr1_0
      | c0_1(X115)
      | ~ ndr1_0
      | c1_1(X116)
      | c2_1(X115)
      | ~ c0_1(X116)
      | ~ c3_1(X115)
      | hskp8
      | ~ c2_1(X116) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f359,plain,
    ( ~ spl0_16
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f39,f356,f307]) ).

fof(f39,plain,
    ( ~ c0_1(a2000)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f343,plain,
    ( spl0_23
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f102,f340,f336]) ).

fof(f102,plain,
    ( ~ hskp23
    | c1_1(a2014) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f322,plain,
    ( spl0_17
    | ~ spl0_2
    | spl0_18
    | spl0_19 ),
    inference(avatar_split_clause,[],[f55,f319,f316,f252,f312]) ).

fof(f55,plain,
    ! [X92] :
      ( hskp25
      | ~ c0_1(X92)
      | c3_1(X92)
      | ~ ndr1_0
      | hskp24
      | ~ c2_1(X92) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f305,plain,
    ( ~ spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f120,f302,f298]) ).

fof(f120,plain,
    ( c2_1(a2009)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f292,plain,
    ( ~ spl0_2
    | spl0_10
    | spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f245,f290,f287,f284,f252]) ).

fof(f245,plain,
    ! [X50,X48,X49] :
      ( c1_1(X48)
      | c2_1(X49)
      | c0_1(X50)
      | c2_1(X50)
      | ~ ndr1_0
      | ~ c1_1(X49)
      | ~ c2_1(X48)
      | ~ c3_1(X50)
      | ~ c0_1(X49)
      | c3_1(X48) ),
    inference(duplicate_literal_removal,[],[f141]) ).

fof(f141,plain,
    ! [X50,X48,X49] :
      ( ~ c2_1(X48)
      | c2_1(X50)
      | ~ c0_1(X49)
      | c1_1(X48)
      | ~ c1_1(X49)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c3_1(X50)
      | c3_1(X48)
      | c0_1(X50)
      | ~ ndr1_0
      | c2_1(X49) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f282,plain,
    ( spl0_7
    | spl0_8
    | ~ spl0_2
    | spl0_9 ),
    inference(avatar_split_clause,[],[f246,f280,f252,f277,f273]) ).

fof(f246,plain,
    ! [X40,X41] :
      ( ~ c2_1(X41)
      | ~ ndr1_0
      | ~ c3_1(X40)
      | c0_1(X41)
      | c3_1(X41)
      | hskp14
      | c1_1(X40)
      | ~ c0_1(X40) ),
    inference(duplicate_literal_removal,[],[f145]) ).

fof(f145,plain,
    ! [X40,X41] :
      ( ~ c3_1(X40)
      | hskp14
      | ~ c2_1(X41)
      | ~ c0_1(X40)
      | c3_1(X41)
      | ~ ndr1_0
      | c1_1(X40)
      | c0_1(X41)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f271,plain,
    ( ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f47,f268,f264]) ).

fof(f47,plain,
    ( ~ c0_1(a1985)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SYN484+1 : TPTP v8.1.0. Released v2.1.0.
% 0.10/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.32  % Computer : n013.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Tue Aug 30 21:56:17 EDT 2022
% 0.10/0.32  % CPUTime    : 
% 0.16/0.49  % (6947)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.16/0.49  % (6939)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.49  % (6943)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.16/0.49  % (6928)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.16/0.50  % (6931)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.16/0.50  % (6928)Instruction limit reached!
% 0.16/0.50  % (6928)------------------------------
% 0.16/0.50  % (6928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50  % (6951)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.16/0.50  % (6939)Instruction limit reached!
% 0.16/0.50  % (6939)------------------------------
% 0.16/0.50  % (6939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50  % (6939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50  % (6939)Termination reason: Unknown
% 0.16/0.50  % (6939)Termination phase: Saturation
% 0.16/0.50  
% 0.16/0.50  % (6939)Memory used [KB]: 6524
% 0.16/0.50  % (6939)Time elapsed: 0.012 s
% 0.16/0.50  % (6939)Instructions burned: 7 (million)
% 0.16/0.50  % (6939)------------------------------
% 0.16/0.50  % (6939)------------------------------
% 0.16/0.51  % (6927)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.52  % (6936)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.16/0.52  % (6924)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.16/0.52  % (6943)Instruction limit reached!
% 0.16/0.52  % (6943)------------------------------
% 0.16/0.52  % (6943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52  % (6928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52  % (6928)Termination reason: Unknown
% 0.16/0.52  % (6928)Termination phase: Saturation
% 0.16/0.52  
% 0.16/0.52  % (6928)Memory used [KB]: 6908
% 0.16/0.52  % (6928)Time elapsed: 0.119 s
% 0.16/0.52  % (6928)Instructions burned: 13 (million)
% 0.16/0.52  % (6928)------------------------------
% 0.16/0.52  % (6928)------------------------------
% 0.16/0.52  % (6943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52  % (6943)Termination reason: Unknown
% 0.16/0.52  % (6943)Termination phase: Saturation
% 0.16/0.52  
% 0.16/0.52  % (6943)Memory used [KB]: 6780
% 0.16/0.52  % (6943)Time elapsed: 0.010 s
% 0.16/0.52  % (6943)Instructions burned: 11 (million)
% 0.16/0.52  % (6943)------------------------------
% 0.16/0.52  % (6943)------------------------------
% 0.16/0.52  % (6930)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.16/0.52  % (6926)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.52  % (6925)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.16/0.52  % (6934)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.16/0.53  % (6933)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.16/0.53  % (6940)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.53  % (6929)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.16/0.53  % (6935)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.54  % (6953)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.16/0.54  % (6935)Instruction limit reached!
% 0.16/0.54  % (6935)------------------------------
% 0.16/0.54  % (6935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.54  % (6935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.54  % (6935)Termination reason: Unknown
% 0.16/0.54  % (6951)Instruction limit reached!
% 0.16/0.54  % (6951)------------------------------
% 0.16/0.54  % (6951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.54  % (6951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.54  % (6951)Termination reason: Unknown
% 0.16/0.54  % (6951)Termination phase: Saturation
% 0.16/0.54  
% 0.16/0.54  % (6951)Memory used [KB]: 7036
% 0.16/0.54  % (6951)Time elapsed: 0.147 s
% 0.16/0.54  % (6951)Instructions burned: 25 (million)
% 0.16/0.54  % (6951)------------------------------
% 0.16/0.54  % (6951)------------------------------
% 0.16/0.54  % (6945)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.54  % (6932)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.16/0.54  % (6949)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.16/0.54  % (6935)Termination phase: Saturation
% 0.16/0.54  
% 0.16/0.54  % (6935)Memory used [KB]: 6396
% 0.16/0.54  % (6935)Time elapsed: 0.007 s
% 0.16/0.54  % (6935)Instructions burned: 7 (million)
% 0.16/0.54  % (6935)------------------------------
% 0.16/0.54  % (6935)------------------------------
% 0.16/0.54  % (6942)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.54  % (6937)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.55  % (6926)Instruction limit reached!
% 0.16/0.55  % (6926)------------------------------
% 0.16/0.55  % (6926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.55  % (6926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.55  % (6926)Termination reason: Unknown
% 0.16/0.55  % (6926)Termination phase: shuffling
% 0.16/0.55  
% 0.16/0.55  % (6926)Memory used [KB]: 1791
% 0.16/0.55  % (6926)Time elapsed: 0.005 s
% 0.16/0.55  % (6926)Instructions burned: 3 (million)
% 0.16/0.55  % (6926)------------------------------
% 0.16/0.55  % (6926)------------------------------
% 0.16/0.55  % (6938)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.55  % (6934)Instruction limit reached!
% 0.16/0.55  % (6934)------------------------------
% 0.16/0.55  % (6934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.55  % (6934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.55  % (6934)Termination reason: Unknown
% 0.16/0.55  % (6934)Termination phase: Saturation
% 0.16/0.55  
% 0.16/0.55  % (6934)Memory used [KB]: 6908
% 0.16/0.55  % (6934)Time elapsed: 0.168 s
% 0.16/0.55  % (6934)Instructions burned: 13 (million)
% 0.16/0.55  % (6934)------------------------------
% 0.16/0.55  % (6934)------------------------------
% 0.16/0.55  % (6946)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.16/0.55  % (6950)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.55  % (6952)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.16/0.55  % (6925)Instruction limit reached!
% 0.16/0.55  % (6925)------------------------------
% 0.16/0.55  % (6925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.55  % (6925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.55  % (6925)Termination reason: Unknown
% 0.16/0.55  % (6925)Termination phase: Saturation
% 0.16/0.55  
% 0.16/0.55  % (6925)Memory used [KB]: 6908
% 0.16/0.55  % (6925)Time elapsed: 0.010 s
% 0.16/0.55  % (6925)Instructions burned: 13 (million)
% 0.16/0.55  % (6925)------------------------------
% 0.16/0.55  % (6925)------------------------------
% 0.16/0.55  % (6938)Instruction limit reached!
% 0.16/0.55  % (6938)------------------------------
% 0.16/0.55  % (6938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.55  % (6938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.55  % (6938)Termination reason: Unknown
% 0.16/0.55  % (6938)Termination phase: Preprocessing 2
% 0.16/0.55  
% 0.16/0.55  % (6938)Memory used [KB]: 1663
% 0.16/0.55  % (6938)Time elapsed: 0.005 s
% 0.16/0.55  % (6938)Instructions burned: 3 (million)
% 0.16/0.55  % (6938)------------------------------
% 0.16/0.55  % (6938)------------------------------
% 0.16/0.56  % (6942)Instruction limit reached!
% 0.16/0.56  % (6942)------------------------------
% 0.16/0.56  % (6942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.56  % (6942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.56  % (6942)Termination reason: Unknown
% 0.16/0.56  % (6942)Termination phase: shuffling
% 0.16/0.56  
% 0.16/0.56  % (6942)Memory used [KB]: 1663
% 0.16/0.56  % (6942)Time elapsed: 0.004 s
% 0.16/0.56  % (6942)Instructions burned: 3 (million)
% 0.16/0.56  % (6942)------------------------------
% 0.16/0.56  % (6942)------------------------------
% 0.16/0.56  % (6941)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.56  % (6944)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.16/0.56  % (6948)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.56  % (6936)Instruction limit reached!
% 0.16/0.56  % (6936)------------------------------
% 0.16/0.56  % (6936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.56  % (6936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.56  % (6936)Termination reason: Unknown
% 0.16/0.56  % (6936)Termination phase: Saturation
% 0.16/0.56  
% 0.16/0.56  % (6936)Memory used [KB]: 2046
% 0.16/0.56  % (6936)Time elapsed: 0.176 s
% 0.16/0.56  % (6936)Instructions burned: 16 (million)
% 0.16/0.56  % (6936)------------------------------
% 0.16/0.56  % (6936)------------------------------
% 0.16/0.57  % (6929)Instruction limit reached!
% 0.16/0.57  % (6929)------------------------------
% 0.16/0.57  % (6929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.57  % (6952)Instruction limit reached!
% 0.16/0.57  % (6952)------------------------------
% 0.16/0.57  % (6952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.57  % (6929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.57  % (6929)Termination reason: Unknown
% 0.16/0.57  % (6929)Termination phase: Saturation
% 0.16/0.57  
% 0.16/0.57  % (6929)Memory used [KB]: 2046
% 0.16/0.57  % (6929)Time elapsed: 0.188 s
% 0.16/0.57  % (6929)Instructions burned: 15 (million)
% 0.16/0.57  % (6929)------------------------------
% 0.16/0.57  % (6929)------------------------------
% 0.16/0.57  % (6952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.57  % (6952)Termination reason: Unknown
% 0.16/0.57  % (6952)Termination phase: Saturation
% 0.16/0.57  
% 0.16/0.57  % (6952)Memory used [KB]: 6652
% 0.16/0.57  % (6952)Time elapsed: 0.007 s
% 0.16/0.57  % (6952)Instructions burned: 8 (million)
% 0.16/0.57  % (6952)------------------------------
% 0.16/0.57  % (6952)------------------------------
% 0.16/0.57  % (6941)Instruction limit reached!
% 0.16/0.57  % (6941)------------------------------
% 0.16/0.57  % (6941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.57  % (6941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.57  % (6941)Termination reason: Unknown
% 0.16/0.57  % (6941)Termination phase: Preprocessing 2
% 0.16/0.57  
% 0.16/0.57  % (6941)Memory used [KB]: 1791
% 0.16/0.57  % (6941)Time elapsed: 0.005 s
% 0.16/0.57  % (6941)Instructions burned: 3 (million)
% 0.16/0.57  % (6941)------------------------------
% 0.16/0.57  % (6941)------------------------------
% 0.16/0.58  % (6947)Instruction limit reached!
% 0.16/0.58  % (6947)------------------------------
% 0.16/0.58  % (6947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.58  % (6947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.58  % (6947)Termination reason: Unknown
% 0.16/0.58  % (6947)Termination phase: Saturation
% 0.16/0.58  
% 0.16/0.58  % (6947)Memory used [KB]: 2174
% 0.16/0.58  % (6947)Time elapsed: 0.128 s
% 0.16/0.58  % (6947)Instructions burned: 45 (million)
% 0.16/0.58  % (6947)------------------------------
% 0.16/0.58  % (6947)------------------------------
% 0.16/0.58  % (6931)Instruction limit reached!
% 0.16/0.58  % (6931)------------------------------
% 0.16/0.58  % (6931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.58  % (6931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.58  % (6931)Termination reason: Unknown
% 0.16/0.58  % (6931)Termination phase: Saturation
% 0.16/0.58  
% 0.16/0.58  % (6931)Memory used [KB]: 7547
% 0.16/0.58  % (6931)Time elapsed: 0.131 s
% 0.16/0.58  % (6931)Instructions burned: 39 (million)
% 0.16/0.58  % (6931)------------------------------
% 0.16/0.58  % (6931)------------------------------
% 0.16/0.58  % (6953)Instruction limit reached!
% 0.16/0.58  % (6953)------------------------------
% 0.16/0.58  % (6953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.58  % (6953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.58  % (6953)Termination reason: Unknown
% 0.16/0.58  % (6953)Termination phase: Saturation
% 0.16/0.58  
% 0.16/0.58  % (6953)Memory used [KB]: 6780
% 0.16/0.58  % (6953)Time elapsed: 0.203 s
% 0.16/0.58  % (6953)Instructions burned: 24 (million)
% 0.16/0.58  % (6953)------------------------------
% 0.16/0.58  % (6953)------------------------------
% 0.16/0.61  % (6933)Instruction limit reached!
% 0.16/0.61  % (6933)------------------------------
% 0.16/0.61  % (6933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.61  % (6933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.61  % (6933)Termination reason: Unknown
% 0.16/0.61  % (6933)Termination phase: Saturation
% 0.16/0.61  
% 0.16/0.61  % (6933)Memory used [KB]: 7419
% 0.16/0.61  % (6933)Time elapsed: 0.193 s
% 0.16/0.61  % (6933)Instructions burned: 33 (million)
% 0.16/0.61  % (6933)------------------------------
% 0.16/0.61  % (6933)------------------------------
% 0.16/0.62  % (6930)Instruction limit reached!
% 0.16/0.62  % (6930)------------------------------
% 0.16/0.62  % (6930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.62  % (6930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.62  % (6930)Termination reason: Unknown
% 0.16/0.62  % (6930)Termination phase: Saturation
% 0.16/0.62  
% 0.16/0.62  % (6930)Memory used [KB]: 7291
% 0.16/0.62  % (6930)Time elapsed: 0.220 s
% 0.16/0.62  % (6930)Instructions burned: 39 (million)
% 0.16/0.62  % (6930)------------------------------
% 0.16/0.62  % (6930)------------------------------
% 0.16/0.62  % (6944)Instruction limit reached!
% 0.16/0.62  % (6944)------------------------------
% 0.16/0.62  % (6944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.62  % (6944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.62  % (6944)Termination reason: Unknown
% 0.16/0.62  % (6944)Termination phase: Saturation
% 0.16/0.62  
% 0.16/0.62  % (6944)Memory used [KB]: 7164
% 0.16/0.62  % (6944)Time elapsed: 0.222 s
% 0.16/0.62  % (6944)Instructions burned: 30 (million)
% 0.16/0.62  % (6944)------------------------------
% 0.16/0.62  % (6944)------------------------------
% 2.09/0.62  % (6927)Instruction limit reached!
% 2.09/0.62  % (6927)------------------------------
% 2.09/0.62  % (6927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.62  % (6927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.62  % (6927)Termination reason: Unknown
% 2.09/0.62  % (6927)Termination phase: Saturation
% 2.09/0.62  
% 2.09/0.62  % (6927)Memory used [KB]: 7803
% 2.09/0.62  % (6927)Time elapsed: 0.223 s
% 2.09/0.62  % (6927)Instructions burned: 51 (million)
% 2.09/0.62  % (6927)------------------------------
% 2.09/0.62  % (6927)------------------------------
% 2.09/0.62  % (6946)First to succeed.
% 2.46/0.67  % (6940)Instruction limit reached!
% 2.46/0.67  % (6940)------------------------------
% 2.46/0.67  % (6940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.67  % (6940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.67  % (6940)Termination reason: Unknown
% 2.46/0.67  % (6940)Termination phase: Saturation
% 2.46/0.67  
% 2.46/0.67  % (6940)Memory used [KB]: 7419
% 2.46/0.67  % (6940)Time elapsed: 0.291 s
% 2.46/0.67  % (6940)Instructions burned: 50 (million)
% 2.46/0.67  % (6940)------------------------------
% 2.46/0.67  % (6940)------------------------------
% 2.46/0.67  % (6946)Refutation found. Thanks to Tanya!
% 2.46/0.67  % SZS status Theorem for theBenchmark
% 2.46/0.67  % SZS output start Proof for theBenchmark
% See solution above
% 2.46/0.67  % (6946)------------------------------
% 2.46/0.67  % (6946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.67  % (6946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.67  % (6946)Termination reason: Refutation
% 2.46/0.67  
% 2.46/0.67  % (6946)Memory used [KB]: 8443
% 2.46/0.67  % (6946)Time elapsed: 0.256 s
% 2.46/0.67  % (6946)Instructions burned: 50 (million)
% 2.46/0.67  % (6946)------------------------------
% 2.46/0.67  % (6946)------------------------------
% 2.46/0.67  % (6923)Success in time 0.332 s
%------------------------------------------------------------------------------