TSTP Solution File: SYN484+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN484+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n022.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 : Sun May  5 12:10:54 EDT 2024

% Result   : Theorem 0.16s 0.41s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  148
% Syntax   : Number of formulae    :  880 (   1 unt;   0 def)
%            Number of atoms       : 7654 (   0 equ)
%            Maximal formula atoms :  742 (   8 avg)
%            Number of connectives : 10469 (3695   ~;4951   |;1188   &)
%                                         ( 147 <=>; 488  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  113 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  184 ( 183 usr; 180 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  972 ( 972   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4176,plain,
    $false,
    inference(avatar_sat_refutation,[],[f258,f267,f280,f293,f302,f338,f343,f344,f356,f373,f374,f375,f379,f384,f400,f408,f409,f413,f414,f418,f422,f423,f431,f432,f433,f438,f439,f440,f444,f453,f454,f459,f461,f465,f466,f470,f471,f472,f476,f477,f485,f486,f487,f488,f489,f490,f491,f496,f497,f501,f506,f510,f519,f543,f548,f553,f564,f569,f575,f580,f585,f586,f591,f601,f655,f660,f665,f676,f681,f687,f692,f697,f698,f703,f708,f713,f719,f724,f729,f735,f740,f745,f751,f756,f761,f767,f772,f777,f788,f793,f799,f804,f809,f815,f820,f825,f831,f836,f841,f847,f852,f857,f863,f868,f873,f879,f884,f889,f895,f900,f905,f911,f916,f921,f927,f932,f937,f943,f948,f953,f959,f964,f969,f975,f980,f985,f991,f996,f1001,f1007,f1012,f1017,f1018,f1023,f1028,f1046,f1086,f1121,f1131,f1146,f1163,f1288,f1334,f1409,f1443,f1454,f1464,f1510,f1564,f1599,f1684,f1769,f1776,f1834,f1916,f1968,f1970,f1991,f2103,f2180,f2228,f2229,f2230,f2256,f2322,f2329,f2341,f2361,f2371,f2448,f2473,f2522,f2601,f2603,f2632,f2639,f2645,f2720,f2825,f2838,f2893,f2903,f2929,f2933,f3016,f3027,f3048,f3064,f3176,f3237,f3270,f3280,f3285,f3335,f3337,f3340,f3403,f3408,f3409,f3420,f3446,f3462,f3512,f3525,f3548,f3550,f3577,f3580,f3627,f3731,f3790,f3810,f3845,f3864,f3871,f3873,f3906,f3911,f3914,f3943,f3948,f3966,f3999,f4012,f4015,f4059,f4061,f4079,f4102,f4150,f4172]) ).

fof(f4172,plain,
    ( ~ spl0_59
    | spl0_129
    | spl0_130
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f4171]) ).

fof(f4171,plain,
    ( $false
    | ~ spl0_59
    | spl0_129
    | spl0_130
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f4170,f894]) ).

fof(f894,plain,
    ( ~ c1_1(a1983)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f892,plain,
    ( spl0_129
  <=> c1_1(a1983) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f4170,plain,
    ( c1_1(a1983)
    | ~ spl0_59
    | spl0_130
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f4158,f899]) ).

fof(f899,plain,
    ( ~ c0_1(a1983)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f897,plain,
    ( spl0_130
  <=> c0_1(a1983) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f4158,plain,
    ( c0_1(a1983)
    | c1_1(a1983)
    | ~ spl0_59
    | ~ spl0_131 ),
    inference(resolution,[],[f517,f904]) ).

fof(f904,plain,
    ( c3_1(a1983)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f902]) ).

fof(f902,plain,
    ( spl0_131
  <=> c3_1(a1983) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f517,plain,
    ( ! [X97] :
        ( ~ c3_1(X97)
        | c0_1(X97)
        | c1_1(X97) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f516,plain,
    ( spl0_59
  <=> ! [X97] :
        ( ~ c3_1(X97)
        | c0_1(X97)
        | c1_1(X97) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f4150,plain,
    ( ~ spl0_33
    | ~ spl0_44
    | ~ spl0_57
    | spl0_153
    | spl0_154 ),
    inference(avatar_contradiction_clause,[],[f4149]) ).

fof(f4149,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_44
    | ~ spl0_57
    | spl0_153
    | spl0_154 ),
    inference(subsumption_resolution,[],[f4132,f1027]) ).

fof(f1027,plain,
    ( ~ c2_1(a1969)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f1025]) ).

fof(f1025,plain,
    ( spl0_154
  <=> c2_1(a1969) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f4132,plain,
    ( c2_1(a1969)
    | ~ spl0_33
    | ~ spl0_44
    | ~ spl0_57
    | spl0_153 ),
    inference(resolution,[],[f4129,f1022]) ).

fof(f1022,plain,
    ( ~ c3_1(a1969)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f1020]) ).

fof(f1020,plain,
    ( spl0_153
  <=> c3_1(a1969) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f4129,plain,
    ( ! [X94] :
        ( c3_1(X94)
        | c2_1(X94) )
    | ~ spl0_33
    | ~ spl0_44
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f509,f3950]) ).

fof(f3950,plain,
    ( ! [X32] :
        ( ~ c0_1(X32)
        | c2_1(X32) )
    | ~ spl0_33
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f436,f387]) ).

fof(f387,plain,
    ( ! [X14] :
        ( ~ c0_1(X14)
        | c2_1(X14)
        | ~ c1_1(X14) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f386,plain,
    ( spl0_33
  <=> ! [X14] :
        ( ~ c1_1(X14)
        | c2_1(X14)
        | ~ c0_1(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f436,plain,
    ( ! [X32] :
        ( ~ c0_1(X32)
        | c1_1(X32)
        | c2_1(X32) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f435,plain,
    ( spl0_44
  <=> ! [X32] :
        ( ~ c0_1(X32)
        | c1_1(X32)
        | c2_1(X32) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f509,plain,
    ( ! [X94] :
        ( c0_1(X94)
        | c3_1(X94)
        | c2_1(X94) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f508,plain,
    ( spl0_57
  <=> ! [X94] :
        ( c3_1(X94)
        | c0_1(X94)
        | c2_1(X94) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f4102,plain,
    ( ~ spl0_166
    | ~ spl0_46
    | spl0_102
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f4101,f753,f748,f447,f2641]) ).

fof(f2641,plain,
    ( spl0_166
  <=> c2_1(a1998) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f447,plain,
    ( spl0_46
  <=> ! [X45] :
        ( ~ c3_1(X45)
        | c0_1(X45)
        | ~ c2_1(X45) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f748,plain,
    ( spl0_102
  <=> c0_1(a1998) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f753,plain,
    ( spl0_103
  <=> c3_1(a1998) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f4101,plain,
    ( ~ c2_1(a1998)
    | ~ spl0_46
    | spl0_102
    | ~ spl0_103 ),
    inference(subsumption_resolution,[],[f4092,f750]) ).

fof(f750,plain,
    ( ~ c0_1(a1998)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f4092,plain,
    ( c0_1(a1998)
    | ~ c2_1(a1998)
    | ~ spl0_46
    | ~ spl0_103 ),
    inference(resolution,[],[f448,f755]) ).

fof(f755,plain,
    ( c3_1(a1998)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f448,plain,
    ( ! [X45] :
        ( ~ c3_1(X45)
        | c0_1(X45)
        | ~ c2_1(X45) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f4079,plain,
    ( ~ spl0_42
    | spl0_129
    | ~ spl0_131
    | spl0_162 ),
    inference(avatar_contradiction_clause,[],[f4078]) ).

fof(f4078,plain,
    ( $false
    | ~ spl0_42
    | spl0_129
    | ~ spl0_131
    | spl0_162 ),
    inference(subsumption_resolution,[],[f4077,f1494]) ).

fof(f1494,plain,
    ( ~ c2_1(a1983)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1493]) ).

fof(f1493,plain,
    ( spl0_162
  <=> c2_1(a1983) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f4077,plain,
    ( c2_1(a1983)
    | ~ spl0_42
    | spl0_129
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f4065,f894]) ).

fof(f4065,plain,
    ( c1_1(a1983)
    | c2_1(a1983)
    | ~ spl0_42
    | ~ spl0_131 ),
    inference(resolution,[],[f426,f904]) ).

fof(f426,plain,
    ( ! [X28] :
        ( ~ c3_1(X28)
        | c1_1(X28)
        | c2_1(X28) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f425,plain,
    ( spl0_42
  <=> ! [X28] :
        ( ~ c3_1(X28)
        | c1_1(X28)
        | c2_1(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f4061,plain,
    ( spl0_175
    | ~ spl0_35
    | spl0_126
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f4060,f886,f876,f395,f3582]) ).

fof(f3582,plain,
    ( spl0_175
  <=> c2_1(a1985) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f395,plain,
    ( spl0_35
  <=> ! [X18] :
        ( ~ c1_1(X18)
        | c2_1(X18)
        | c3_1(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f876,plain,
    ( spl0_126
  <=> c3_1(a1985) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f886,plain,
    ( spl0_128
  <=> c1_1(a1985) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f4060,plain,
    ( c2_1(a1985)
    | ~ spl0_35
    | spl0_126
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f4051,f878]) ).

fof(f878,plain,
    ( ~ c3_1(a1985)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f4051,plain,
    ( c2_1(a1985)
    | c3_1(a1985)
    | ~ spl0_35
    | ~ spl0_128 ),
    inference(resolution,[],[f396,f888]) ).

fof(f888,plain,
    ( c1_1(a1985)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f396,plain,
    ( ! [X18] :
        ( ~ c1_1(X18)
        | c2_1(X18)
        | c3_1(X18) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f4059,plain,
    ( spl0_164
    | ~ spl0_35
    | spl0_132
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f4058,f913,f908,f395,f1973]) ).

fof(f1973,plain,
    ( spl0_164
  <=> c2_1(a1981) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f908,plain,
    ( spl0_132
  <=> c3_1(a1981) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f913,plain,
    ( spl0_133
  <=> c1_1(a1981) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f4058,plain,
    ( c2_1(a1981)
    | ~ spl0_35
    | spl0_132
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f4050,f910]) ).

fof(f910,plain,
    ( ~ c3_1(a1981)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f4050,plain,
    ( c2_1(a1981)
    | c3_1(a1981)
    | ~ spl0_35
    | ~ spl0_133 ),
    inference(resolution,[],[f396,f915]) ).

fof(f915,plain,
    ( c1_1(a1981)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f4015,plain,
    ( spl0_164
    | ~ spl0_33
    | ~ spl0_44
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f4013,f918,f435,f386,f1973]) ).

fof(f918,plain,
    ( spl0_134
  <=> c0_1(a1981) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f4013,plain,
    ( c2_1(a1981)
    | ~ spl0_33
    | ~ spl0_44
    | ~ spl0_134 ),
    inference(resolution,[],[f920,f3950]) ).

fof(f920,plain,
    ( c0_1(a1981)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f4012,plain,
    ( spl0_105
    | ~ spl0_33
    | ~ spl0_44
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f4005,f774,f435,f386,f764]) ).

fof(f764,plain,
    ( spl0_105
  <=> c2_1(a1996) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f774,plain,
    ( spl0_107
  <=> c0_1(a1996) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f4005,plain,
    ( c2_1(a1996)
    | ~ spl0_33
    | ~ spl0_44
    | ~ spl0_107 ),
    inference(resolution,[],[f776,f3950]) ).

fof(f776,plain,
    ( c0_1(a1996)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f3999,plain,
    ( ~ spl0_18
    | ~ spl0_36
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(avatar_contradiction_clause,[],[f3998]) ).

fof(f3998,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_36
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(subsumption_resolution,[],[f3996,f563]) ).

fof(f563,plain,
    ( c1_1(a1978)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f561,plain,
    ( spl0_67
  <=> c1_1(a1978) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f3996,plain,
    ( ~ c1_1(a1978)
    | ~ spl0_18
    | ~ spl0_36
    | ~ spl0_68 ),
    inference(resolution,[],[f3991,f568]) ).

fof(f568,plain,
    ( c0_1(a1978)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f566,plain,
    ( spl0_68
  <=> c0_1(a1978) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f3991,plain,
    ( ! [X16] :
        ( ~ c0_1(X16)
        | ~ c1_1(X16) )
    | ~ spl0_18
    | ~ spl0_36 ),
    inference(subsumption_resolution,[],[f399,f321]) ).

fof(f321,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f320]) ).

fof(f320,plain,
    ( spl0_18
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f399,plain,
    ( ! [X16] :
        ( ~ c0_1(X16)
        | c3_1(X16)
        | ~ c1_1(X16) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f398,plain,
    ( spl0_36
  <=> ! [X16] :
        ( ~ c1_1(X16)
        | c3_1(X16)
        | ~ c0_1(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f3966,plain,
    ( ~ spl0_33
    | ~ spl0_55
    | spl0_139
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f3965]) ).

fof(f3965,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_55
    | spl0_139
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f3958,f952]) ).

fof(f952,plain,
    ( c1_1(a1977)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f950]) ).

fof(f950,plain,
    ( spl0_140
  <=> c1_1(a1977) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f3958,plain,
    ( ~ c1_1(a1977)
    | ~ spl0_33
    | ~ spl0_55
    | spl0_139 ),
    inference(resolution,[],[f3949,f947]) ).

fof(f947,plain,
    ( ~ c2_1(a1977)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f945]) ).

fof(f945,plain,
    ( spl0_139
  <=> c2_1(a1977) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f3949,plain,
    ( ! [X90] :
        ( c2_1(X90)
        | ~ c1_1(X90) )
    | ~ spl0_33
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f500,f387]) ).

fof(f500,plain,
    ( ! [X90] :
        ( ~ c1_1(X90)
        | c0_1(X90)
        | c2_1(X90) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f499,plain,
    ( spl0_55
  <=> ! [X90] :
        ( ~ c1_1(X90)
        | c0_1(X90)
        | c2_1(X90) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f3948,plain,
    ( ~ spl0_52
    | spl0_117
    | ~ spl0_119
    | spl0_165 ),
    inference(avatar_contradiction_clause,[],[f3947]) ).

fof(f3947,plain,
    ( $false
    | ~ spl0_52
    | spl0_117
    | ~ spl0_119
    | spl0_165 ),
    inference(subsumption_resolution,[],[f3946,f830]) ).

fof(f830,plain,
    ( ~ c2_1(a1990)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f828,plain,
    ( spl0_117
  <=> c2_1(a1990) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f3946,plain,
    ( c2_1(a1990)
    | ~ spl0_52
    | ~ spl0_119
    | spl0_165 ),
    inference(subsumption_resolution,[],[f3932,f2476]) ).

fof(f2476,plain,
    ( ~ c0_1(a1990)
    | spl0_165 ),
    inference(avatar_component_clause,[],[f2475]) ).

fof(f2475,plain,
    ( spl0_165
  <=> c0_1(a1990) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f3932,plain,
    ( c0_1(a1990)
    | c2_1(a1990)
    | ~ spl0_52
    | ~ spl0_119 ),
    inference(resolution,[],[f480,f840]) ).

fof(f840,plain,
    ( c3_1(a1990)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f838,plain,
    ( spl0_119
  <=> c3_1(a1990) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f480,plain,
    ( ! [X69] :
        ( ~ c3_1(X69)
        | c0_1(X69)
        | c2_1(X69) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f479,plain,
    ( spl0_52
  <=> ! [X69] :
        ( ~ c3_1(X69)
        | c0_1(X69)
        | c2_1(X69) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f3943,plain,
    ( ~ spl0_52
    | spl0_135
    | spl0_136
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f3942]) ).

fof(f3942,plain,
    ( $false
    | ~ spl0_52
    | spl0_135
    | spl0_136
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f3941,f926]) ).

fof(f926,plain,
    ( ~ c2_1(a1979)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f924,plain,
    ( spl0_135
  <=> c2_1(a1979) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f3941,plain,
    ( c2_1(a1979)
    | ~ spl0_52
    | spl0_136
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f3928,f931]) ).

fof(f931,plain,
    ( ~ c0_1(a1979)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f929]) ).

fof(f929,plain,
    ( spl0_136
  <=> c0_1(a1979) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f3928,plain,
    ( c0_1(a1979)
    | c2_1(a1979)
    | ~ spl0_52
    | ~ spl0_137 ),
    inference(resolution,[],[f480,f936]) ).

fof(f936,plain,
    ( c3_1(a1979)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f934]) ).

fof(f934,plain,
    ( spl0_137
  <=> c3_1(a1979) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f3914,plain,
    ( ~ spl0_49
    | spl0_102
    | ~ spl0_104
    | ~ spl0_166 ),
    inference(avatar_contradiction_clause,[],[f3913]) ).

fof(f3913,plain,
    ( $false
    | ~ spl0_49
    | spl0_102
    | ~ spl0_104
    | ~ spl0_166 ),
    inference(subsumption_resolution,[],[f3912,f2642]) ).

fof(f2642,plain,
    ( c2_1(a1998)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f2641]) ).

fof(f3912,plain,
    ( ~ c2_1(a1998)
    | ~ spl0_49
    | spl0_102
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f3895,f750]) ).

fof(f3895,plain,
    ( c0_1(a1998)
    | ~ c2_1(a1998)
    | ~ spl0_49
    | ~ spl0_104 ),
    inference(resolution,[],[f464,f760]) ).

fof(f760,plain,
    ( c1_1(a1998)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f758,plain,
    ( spl0_104
  <=> c1_1(a1998) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f464,plain,
    ( ! [X55] :
        ( ~ c1_1(X55)
        | c0_1(X55)
        | ~ c2_1(X55) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f463,plain,
    ( spl0_49
  <=> ! [X55] :
        ( ~ c2_1(X55)
        | c0_1(X55)
        | ~ c1_1(X55) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f3911,plain,
    ( ~ spl0_175
    | ~ spl0_49
    | spl0_127
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f3910,f886,f881,f463,f3582]) ).

fof(f881,plain,
    ( spl0_127
  <=> c0_1(a1985) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f3910,plain,
    ( ~ c2_1(a1985)
    | ~ spl0_49
    | spl0_127
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f3892,f883]) ).

fof(f883,plain,
    ( ~ c0_1(a1985)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f3892,plain,
    ( c0_1(a1985)
    | ~ c2_1(a1985)
    | ~ spl0_49
    | ~ spl0_128 ),
    inference(resolution,[],[f464,f888]) ).

fof(f3906,plain,
    ( ~ spl0_49
    | spl0_144
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f3905]) ).

fof(f3905,plain,
    ( $false
    | ~ spl0_49
    | spl0_144
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f3904,f979]) ).

fof(f979,plain,
    ( c2_1(a1974)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f977]) ).

fof(f977,plain,
    ( spl0_145
  <=> c2_1(a1974) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f3904,plain,
    ( ~ c2_1(a1974)
    | ~ spl0_49
    | spl0_144
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f3889,f974]) ).

fof(f974,plain,
    ( ~ c0_1(a1974)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f972]) ).

fof(f972,plain,
    ( spl0_144
  <=> c0_1(a1974) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f3889,plain,
    ( c0_1(a1974)
    | ~ c2_1(a1974)
    | ~ spl0_49
    | ~ spl0_146 ),
    inference(resolution,[],[f464,f984]) ).

fof(f984,plain,
    ( c1_1(a1974)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f982]) ).

fof(f982,plain,
    ( spl0_146
  <=> c1_1(a1974) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f3873,plain,
    ( ~ spl0_174
    | ~ spl0_31
    | spl0_111
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f3872,f806,f796,f377,f3424]) ).

fof(f3424,plain,
    ( spl0_174
  <=> c3_1(a1992) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f377,plain,
    ( spl0_31
  <=> ! [X11] :
        ( ~ c3_1(X11)
        | c2_1(X11)
        | ~ c1_1(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f796,plain,
    ( spl0_111
  <=> c2_1(a1992) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f806,plain,
    ( spl0_113
  <=> c1_1(a1992) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f3872,plain,
    ( ~ c3_1(a1992)
    | ~ spl0_31
    | spl0_111
    | ~ spl0_113 ),
    inference(subsumption_resolution,[],[f3869,f798]) ).

fof(f798,plain,
    ( ~ c2_1(a1992)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f3869,plain,
    ( c2_1(a1992)
    | ~ c3_1(a1992)
    | ~ spl0_31
    | ~ spl0_113 ),
    inference(resolution,[],[f808,f378]) ).

fof(f378,plain,
    ( ! [X11] :
        ( ~ c1_1(X11)
        | c2_1(X11)
        | ~ c3_1(X11) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f808,plain,
    ( c1_1(a1992)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f806]) ).

fof(f3871,plain,
    ( spl0_174
    | ~ spl0_51
    | spl0_112
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f3870,f806,f801,f474,f3424]) ).

fof(f474,plain,
    ( spl0_51
  <=> ! [X66] :
        ( ~ c1_1(X66)
        | c0_1(X66)
        | c3_1(X66) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f801,plain,
    ( spl0_112
  <=> c0_1(a1992) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f3870,plain,
    ( c3_1(a1992)
    | ~ spl0_51
    | spl0_112
    | ~ spl0_113 ),
    inference(subsumption_resolution,[],[f3868,f803]) ).

fof(f803,plain,
    ( ~ c0_1(a1992)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f3868,plain,
    ( c0_1(a1992)
    | c3_1(a1992)
    | ~ spl0_51
    | ~ spl0_113 ),
    inference(resolution,[],[f808,f475]) ).

fof(f475,plain,
    ( ! [X66] :
        ( ~ c1_1(X66)
        | c0_1(X66)
        | c3_1(X66) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f3864,plain,
    ( ~ spl0_33
    | ~ spl0_44
    | spl0_88
    | ~ spl0_89 ),
    inference(avatar_contradiction_clause,[],[f3863]) ).

fof(f3863,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_44
    | spl0_88
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f3860,f675]) ).

fof(f675,plain,
    ( ~ c2_1(a2012)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f673,plain,
    ( spl0_88
  <=> c2_1(a2012) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f3860,plain,
    ( c2_1(a2012)
    | ~ spl0_33
    | ~ spl0_44
    | ~ spl0_89 ),
    inference(resolution,[],[f3857,f680]) ).

fof(f680,plain,
    ( c0_1(a2012)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f678,plain,
    ( spl0_89
  <=> c0_1(a2012) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f3857,plain,
    ( ! [X32] :
        ( ~ c0_1(X32)
        | c2_1(X32) )
    | ~ spl0_33
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f436,f387]) ).

fof(f3845,plain,
    ( ~ spl0_33
    | spl0_84
    | ~ spl0_85
    | ~ spl0_86 ),
    inference(avatar_contradiction_clause,[],[f3844]) ).

fof(f3844,plain,
    ( $false
    | ~ spl0_33
    | spl0_84
    | ~ spl0_85
    | ~ spl0_86 ),
    inference(subsumption_resolution,[],[f3843,f659]) ).

fof(f659,plain,
    ( c1_1(a2014)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f657,plain,
    ( spl0_85
  <=> c1_1(a2014) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f3843,plain,
    ( ~ c1_1(a2014)
    | ~ spl0_33
    | spl0_84
    | ~ spl0_86 ),
    inference(subsumption_resolution,[],[f3840,f654]) ).

fof(f654,plain,
    ( ~ c2_1(a2014)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f652,plain,
    ( spl0_84
  <=> c2_1(a2014) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f3840,plain,
    ( c2_1(a2014)
    | ~ c1_1(a2014)
    | ~ spl0_33
    | ~ spl0_86 ),
    inference(resolution,[],[f387,f664]) ).

fof(f664,plain,
    ( c0_1(a2014)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f662,plain,
    ( spl0_86
  <=> c0_1(a2014) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f3810,plain,
    ( ~ spl0_51
    | spl0_120
    | spl0_121
    | ~ spl0_169 ),
    inference(avatar_contradiction_clause,[],[f3809]) ).

fof(f3809,plain,
    ( $false
    | ~ spl0_51
    | spl0_120
    | spl0_121
    | ~ spl0_169 ),
    inference(subsumption_resolution,[],[f3808,f846]) ).

fof(f846,plain,
    ( ~ c3_1(a1989)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f844,plain,
    ( spl0_120
  <=> c3_1(a1989) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f3808,plain,
    ( c3_1(a1989)
    | ~ spl0_51
    | spl0_121
    | ~ spl0_169 ),
    inference(subsumption_resolution,[],[f3798,f851]) ).

fof(f851,plain,
    ( ~ c0_1(a1989)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f849,plain,
    ( spl0_121
  <=> c0_1(a1989) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f3798,plain,
    ( c0_1(a1989)
    | c3_1(a1989)
    | ~ spl0_51
    | ~ spl0_169 ),
    inference(resolution,[],[f475,f2855]) ).

fof(f2855,plain,
    ( c1_1(a1989)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f2854]) ).

fof(f2854,plain,
    ( spl0_169
  <=> c1_1(a1989) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f3790,plain,
    ( spl0_159
    | ~ spl0_41
    | spl0_114
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f3789,f817,f812,f420,f1350]) ).

fof(f1350,plain,
    ( spl0_159
  <=> c1_1(a1991) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f420,plain,
    ( spl0_41
  <=> ! [X26] :
        ( ~ c2_1(X26)
        | c1_1(X26)
        | c3_1(X26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f812,plain,
    ( spl0_114
  <=> c3_1(a1991) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f817,plain,
    ( spl0_115
  <=> c2_1(a1991) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f3789,plain,
    ( c1_1(a1991)
    | ~ spl0_41
    | spl0_114
    | ~ spl0_115 ),
    inference(subsumption_resolution,[],[f3775,f819]) ).

fof(f819,plain,
    ( c2_1(a1991)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f3775,plain,
    ( c1_1(a1991)
    | ~ c2_1(a1991)
    | ~ spl0_41
    | spl0_114 ),
    inference(resolution,[],[f421,f814]) ).

fof(f814,plain,
    ( ~ c3_1(a1991)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f421,plain,
    ( ! [X26] :
        ( c3_1(X26)
        | c1_1(X26)
        | ~ c2_1(X26) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f3731,plain,
    ( spl0_147
    | ~ spl0_31
    | ~ spl0_35
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f3720,f998,f395,f377,f988]) ).

fof(f988,plain,
    ( spl0_147
  <=> c2_1(a1973) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f998,plain,
    ( spl0_149
  <=> c1_1(a1973) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f3720,plain,
    ( c2_1(a1973)
    | ~ spl0_31
    | ~ spl0_35
    | ~ spl0_149 ),
    inference(resolution,[],[f1000,f3406]) ).

fof(f3406,plain,
    ( ! [X18] :
        ( ~ c1_1(X18)
        | c2_1(X18) )
    | ~ spl0_31
    | ~ spl0_35 ),
    inference(subsumption_resolution,[],[f396,f378]) ).

fof(f1000,plain,
    ( c1_1(a1973)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f998]) ).

fof(f3627,plain,
    ( spl0_169
    | ~ spl0_41
    | spl0_120
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f3626,f854,f844,f420,f2854]) ).

fof(f854,plain,
    ( spl0_122
  <=> c2_1(a1989) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f3626,plain,
    ( c1_1(a1989)
    | ~ spl0_41
    | spl0_120
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f3625,f856]) ).

fof(f856,plain,
    ( c2_1(a1989)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f3625,plain,
    ( c1_1(a1989)
    | ~ c2_1(a1989)
    | ~ spl0_41
    | spl0_120 ),
    inference(resolution,[],[f846,f421]) ).

fof(f3580,plain,
    ( spl0_126
    | ~ spl0_50
    | ~ spl0_57
    | spl0_127 ),
    inference(avatar_split_clause,[],[f3561,f881,f508,f468,f876]) ).

fof(f468,plain,
    ( spl0_50
  <=> ! [X59] :
        ( ~ c2_1(X59)
        | c0_1(X59)
        | c3_1(X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f3561,plain,
    ( c3_1(a1985)
    | ~ spl0_50
    | ~ spl0_57
    | spl0_127 ),
    inference(resolution,[],[f3556,f883]) ).

fof(f3556,plain,
    ( ! [X94] :
        ( c0_1(X94)
        | c3_1(X94) )
    | ~ spl0_50
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f509,f469]) ).

fof(f469,plain,
    ( ! [X59] :
        ( ~ c2_1(X59)
        | c0_1(X59)
        | c3_1(X59) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f3577,plain,
    ( ~ spl0_50
    | ~ spl0_57
    | spl0_99
    | spl0_101 ),
    inference(avatar_contradiction_clause,[],[f3576]) ).

fof(f3576,plain,
    ( $false
    | ~ spl0_50
    | ~ spl0_57
    | spl0_99
    | spl0_101 ),
    inference(subsumption_resolution,[],[f3568,f734]) ).

fof(f734,plain,
    ( ~ c3_1(a2000)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f732,plain,
    ( spl0_99
  <=> c3_1(a2000) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f3568,plain,
    ( c3_1(a2000)
    | ~ spl0_50
    | ~ spl0_57
    | spl0_101 ),
    inference(resolution,[],[f3556,f744]) ).

fof(f744,plain,
    ( ~ c0_1(a2000)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f742,plain,
    ( spl0_101
  <=> c0_1(a2000) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f3550,plain,
    ( spl0_156
    | ~ spl0_40
    | ~ spl0_64
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f3549,f550,f545,f416,f1133]) ).

fof(f1133,plain,
    ( spl0_156
  <=> c1_1(a2005) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f416,plain,
    ( spl0_40
  <=> ! [X25] :
        ( ~ c2_1(X25)
        | c1_1(X25)
        | ~ c0_1(X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f545,plain,
    ( spl0_64
  <=> c2_1(a2005) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f550,plain,
    ( spl0_65
  <=> c0_1(a2005) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f3549,plain,
    ( c1_1(a2005)
    | ~ spl0_40
    | ~ spl0_64
    | ~ spl0_65 ),
    inference(subsumption_resolution,[],[f3536,f547]) ).

fof(f547,plain,
    ( c2_1(a2005)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f3536,plain,
    ( c1_1(a2005)
    | ~ c2_1(a2005)
    | ~ spl0_40
    | ~ spl0_65 ),
    inference(resolution,[],[f417,f552]) ).

fof(f552,plain,
    ( c0_1(a2005)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f417,plain,
    ( ! [X25] :
        ( ~ c0_1(X25)
        | c1_1(X25)
        | ~ c2_1(X25) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f3548,plain,
    ( spl0_150
    | ~ spl0_40
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f3547,f1014,f1009,f416,f1004]) ).

fof(f1004,plain,
    ( spl0_150
  <=> c1_1(a1971) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1009,plain,
    ( spl0_151
  <=> c2_1(a1971) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1014,plain,
    ( spl0_152
  <=> c0_1(a1971) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f3547,plain,
    ( c1_1(a1971)
    | ~ spl0_40
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f3527,f1011]) ).

fof(f1011,plain,
    ( c2_1(a1971)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f1009]) ).

fof(f3527,plain,
    ( c1_1(a1971)
    | ~ c2_1(a1971)
    | ~ spl0_40
    | ~ spl0_152 ),
    inference(resolution,[],[f417,f1016]) ).

fof(f1016,plain,
    ( c0_1(a1971)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f1014]) ).

fof(f3525,plain,
    ( spl0_120
    | ~ spl0_50
    | spl0_121
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f3513,f854,f849,f468,f844]) ).

fof(f3513,plain,
    ( c3_1(a1989)
    | ~ spl0_50
    | spl0_121
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f3502,f851]) ).

fof(f3502,plain,
    ( c0_1(a1989)
    | c3_1(a1989)
    | ~ spl0_50
    | ~ spl0_122 ),
    inference(resolution,[],[f469,f856]) ).

fof(f3512,plain,
    ( spl0_170
    | ~ spl0_50
    | spl0_144
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f3511,f977,f972,f468,f2900]) ).

fof(f2900,plain,
    ( spl0_170
  <=> c3_1(a1974) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f3511,plain,
    ( c3_1(a1974)
    | ~ spl0_50
    | spl0_144
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f3497,f974]) ).

fof(f3497,plain,
    ( c0_1(a1974)
    | c3_1(a1974)
    | ~ spl0_50
    | ~ spl0_145 ),
    inference(resolution,[],[f469,f979]) ).

fof(f3462,plain,
    ( spl0_166
    | ~ spl0_31
    | ~ spl0_103
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f3461,f758,f753,f377,f2641]) ).

fof(f3461,plain,
    ( c2_1(a1998)
    | ~ spl0_31
    | ~ spl0_103
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f3459,f755]) ).

fof(f3459,plain,
    ( c2_1(a1998)
    | ~ c3_1(a1998)
    | ~ spl0_31
    | ~ spl0_104 ),
    inference(resolution,[],[f760,f378]) ).

fof(f3446,plain,
    ( ~ spl0_39
    | ~ spl0_46
    | spl0_123
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f3445]) ).

fof(f3445,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_46
    | spl0_123
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f3444,f867]) ).

fof(f867,plain,
    ( c3_1(a1987)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f865]) ).

fof(f865,plain,
    ( spl0_124
  <=> c3_1(a1987) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f3444,plain,
    ( ~ c3_1(a1987)
    | ~ spl0_39
    | ~ spl0_46
    | spl0_123
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f3433,f862]) ).

fof(f862,plain,
    ( ~ c1_1(a1987)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f860,plain,
    ( spl0_123
  <=> c1_1(a1987) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f3433,plain,
    ( c1_1(a1987)
    | ~ c3_1(a1987)
    | ~ spl0_39
    | ~ spl0_46
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(resolution,[],[f412,f2662]) ).

fof(f2662,plain,
    ( c0_1(a1987)
    | ~ spl0_46
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f2661,f872]) ).

fof(f872,plain,
    ( c2_1(a1987)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f870,plain,
    ( spl0_125
  <=> c2_1(a1987) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f2661,plain,
    ( c0_1(a1987)
    | ~ c2_1(a1987)
    | ~ spl0_46
    | ~ spl0_124 ),
    inference(resolution,[],[f867,f448]) ).

fof(f412,plain,
    ( ! [X23] :
        ( ~ c0_1(X23)
        | c1_1(X23)
        | ~ c3_1(X23) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f411,plain,
    ( spl0_39
  <=> ! [X23] :
        ( ~ c3_1(X23)
        | c1_1(X23)
        | ~ c0_1(X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f3420,plain,
    ( spl0_111
    | ~ spl0_31
    | ~ spl0_35
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f3414,f806,f395,f377,f796]) ).

fof(f3414,plain,
    ( c2_1(a1992)
    | ~ spl0_31
    | ~ spl0_35
    | ~ spl0_113 ),
    inference(resolution,[],[f3406,f808]) ).

fof(f3409,plain,
    ( ~ spl0_164
    | spl0_132
    | ~ spl0_27
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f3239,f918,f358,f908,f1973]) ).

fof(f358,plain,
    ( spl0_27
  <=> ! [X6] :
        ( ~ c2_1(X6)
        | c3_1(X6)
        | ~ c0_1(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f3239,plain,
    ( c3_1(a1981)
    | ~ c2_1(a1981)
    | ~ spl0_27
    | ~ spl0_134 ),
    inference(resolution,[],[f920,f359]) ).

fof(f359,plain,
    ( ! [X6] :
        ( ~ c0_1(X6)
        | c3_1(X6)
        | ~ c2_1(X6) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f3408,plain,
    ( ~ spl0_133
    | ~ spl0_164
    | ~ spl0_21
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f3241,f918,f332,f1973,f913]) ).

fof(f332,plain,
    ( spl0_21
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f3241,plain,
    ( ~ c2_1(a1981)
    | ~ c1_1(a1981)
    | ~ spl0_21
    | ~ spl0_134 ),
    inference(resolution,[],[f920,f333]) ).

fof(f333,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f3403,plain,
    ( ~ spl0_162
    | spl0_130
    | ~ spl0_46
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2410,f902,f447,f897,f1493]) ).

fof(f2410,plain,
    ( c0_1(a1983)
    | ~ c2_1(a1983)
    | ~ spl0_46
    | ~ spl0_131 ),
    inference(resolution,[],[f448,f904]) ).

fof(f3340,plain,
    ( spl0_135
    | ~ spl0_31
    | ~ spl0_42
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f3319,f934,f425,f377,f924]) ).

fof(f3319,plain,
    ( c2_1(a1979)
    | ~ spl0_31
    | ~ spl0_42
    | ~ spl0_137 ),
    inference(resolution,[],[f3271,f936]) ).

fof(f3271,plain,
    ( ! [X28] :
        ( ~ c3_1(X28)
        | c2_1(X28) )
    | ~ spl0_31
    | ~ spl0_42 ),
    inference(subsumption_resolution,[],[f426,f378]) ).

fof(f3337,plain,
    ( ~ spl0_31
    | ~ spl0_42
    | spl0_105
    | ~ spl0_106 ),
    inference(avatar_contradiction_clause,[],[f3336]) ).

fof(f3336,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_42
    | spl0_105
    | ~ spl0_106 ),
    inference(subsumption_resolution,[],[f3323,f766]) ).

fof(f766,plain,
    ( ~ c2_1(a1996)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f3323,plain,
    ( c2_1(a1996)
    | ~ spl0_31
    | ~ spl0_42
    | ~ spl0_106 ),
    inference(resolution,[],[f3271,f771]) ).

fof(f771,plain,
    ( c3_1(a1996)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f769,plain,
    ( spl0_106
  <=> c3_1(a1996) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f3335,plain,
    ( spl0_162
    | ~ spl0_31
    | ~ spl0_42
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f3320,f902,f425,f377,f1493]) ).

fof(f3320,plain,
    ( c2_1(a1983)
    | ~ spl0_31
    | ~ spl0_42
    | ~ spl0_131 ),
    inference(resolution,[],[f3271,f904]) ).

fof(f3285,plain,
    ( ~ spl0_158
    | ~ spl0_31
    | spl0_84
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f3282,f657,f652,f377,f1331]) ).

fof(f1331,plain,
    ( spl0_158
  <=> c3_1(a2014) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f3282,plain,
    ( ~ c3_1(a2014)
    | ~ spl0_31
    | spl0_84
    | ~ spl0_85 ),
    inference(subsumption_resolution,[],[f3281,f654]) ).

fof(f3281,plain,
    ( c2_1(a2014)
    | ~ c3_1(a2014)
    | ~ spl0_31
    | ~ spl0_85 ),
    inference(resolution,[],[f659,f378]) ).

fof(f3280,plain,
    ( ~ spl0_69
    | spl0_161
    | ~ spl0_31
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f3273,f577,f377,f1412,f572]) ).

fof(f572,plain,
    ( spl0_69
  <=> c3_1(a1972) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1412,plain,
    ( spl0_161
  <=> c2_1(a1972) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f577,plain,
    ( spl0_70
  <=> c1_1(a1972) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f3273,plain,
    ( c2_1(a1972)
    | ~ c3_1(a1972)
    | ~ spl0_31
    | ~ spl0_70 ),
    inference(resolution,[],[f579,f378]) ).

fof(f579,plain,
    ( c1_1(a1972)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f3270,plain,
    ( ~ spl0_31
    | spl0_105
    | ~ spl0_106
    | ~ spl0_163 ),
    inference(avatar_contradiction_clause,[],[f3269]) ).

fof(f3269,plain,
    ( $false
    | ~ spl0_31
    | spl0_105
    | ~ spl0_106
    | ~ spl0_163 ),
    inference(subsumption_resolution,[],[f3268,f771]) ).

fof(f3268,plain,
    ( ~ c3_1(a1996)
    | ~ spl0_31
    | spl0_105
    | ~ spl0_163 ),
    inference(subsumption_resolution,[],[f3267,f766]) ).

fof(f3267,plain,
    ( c2_1(a1996)
    | ~ c3_1(a1996)
    | ~ spl0_31
    | ~ spl0_163 ),
    inference(resolution,[],[f1552,f378]) ).

fof(f1552,plain,
    ( c1_1(a1996)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1551]) ).

fof(f1551,plain,
    ( spl0_163
  <=> c1_1(a1996) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f3237,plain,
    ( spl0_163
    | ~ spl0_44
    | spl0_105
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f3236,f774,f764,f435,f1551]) ).

fof(f3236,plain,
    ( c1_1(a1996)
    | ~ spl0_44
    | spl0_105
    | ~ spl0_107 ),
    inference(subsumption_resolution,[],[f3234,f766]) ).

fof(f3234,plain,
    ( c1_1(a1996)
    | c2_1(a1996)
    | ~ spl0_44
    | ~ spl0_107 ),
    inference(resolution,[],[f776,f436]) ).

fof(f3176,plain,
    ( ~ spl0_21
    | ~ spl0_49
    | ~ spl0_60
    | spl0_109
    | ~ spl0_110 ),
    inference(avatar_contradiction_clause,[],[f3175]) ).

fof(f3175,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_49
    | ~ spl0_60
    | spl0_109
    | ~ spl0_110 ),
    inference(subsumption_resolution,[],[f3168,f787]) ).

fof(f787,plain,
    ( ~ c0_1(a1993)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f785,plain,
    ( spl0_109
  <=> c0_1(a1993) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f3168,plain,
    ( c0_1(a1993)
    | ~ spl0_21
    | ~ spl0_49
    | ~ spl0_60
    | ~ spl0_110 ),
    inference(resolution,[],[f3158,f792]) ).

fof(f792,plain,
    ( c2_1(a1993)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f790,plain,
    ( spl0_110
  <=> c2_1(a1993) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f3158,plain,
    ( ! [X100] :
        ( ~ c2_1(X100)
        | c0_1(X100) )
    | ~ spl0_21
    | ~ spl0_49
    | ~ spl0_60 ),
    inference(subsumption_resolution,[],[f522,f3065]) ).

fof(f3065,plain,
    ( ! [X55] :
        ( ~ c1_1(X55)
        | ~ c2_1(X55) )
    | ~ spl0_21
    | ~ spl0_49 ),
    inference(subsumption_resolution,[],[f464,f333]) ).

fof(f522,plain,
    ( ! [X100] :
        ( ~ c2_1(X100)
        | c0_1(X100)
        | c1_1(X100) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f521,plain,
    ( spl0_60
  <=> ! [X100] :
        ( ~ c2_1(X100)
        | c0_1(X100)
        | c1_1(X100) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f3064,plain,
    ( ~ spl0_55
    | spl0_111
    | spl0_112
    | ~ spl0_113 ),
    inference(avatar_contradiction_clause,[],[f3063]) ).

fof(f3063,plain,
    ( $false
    | ~ spl0_55
    | spl0_111
    | spl0_112
    | ~ spl0_113 ),
    inference(subsumption_resolution,[],[f3062,f798]) ).

fof(f3062,plain,
    ( c2_1(a1992)
    | ~ spl0_55
    | spl0_112
    | ~ spl0_113 ),
    inference(subsumption_resolution,[],[f3059,f803]) ).

fof(f3059,plain,
    ( c0_1(a1992)
    | c2_1(a1992)
    | ~ spl0_55
    | ~ spl0_113 ),
    inference(resolution,[],[f500,f808]) ).

fof(f3048,plain,
    ( ~ spl0_44
    | spl0_117
    | spl0_118
    | ~ spl0_165 ),
    inference(avatar_contradiction_clause,[],[f3047]) ).

fof(f3047,plain,
    ( $false
    | ~ spl0_44
    | spl0_117
    | spl0_118
    | ~ spl0_165 ),
    inference(subsumption_resolution,[],[f3046,f830]) ).

fof(f3046,plain,
    ( c2_1(a1990)
    | ~ spl0_44
    | spl0_118
    | ~ spl0_165 ),
    inference(subsumption_resolution,[],[f3044,f835]) ).

fof(f835,plain,
    ( ~ c1_1(a1990)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f833,plain,
    ( spl0_118
  <=> c1_1(a1990) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f3044,plain,
    ( c1_1(a1990)
    | c2_1(a1990)
    | ~ spl0_44
    | ~ spl0_165 ),
    inference(resolution,[],[f2477,f436]) ).

fof(f2477,plain,
    ( c0_1(a1990)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f2475]) ).

fof(f3027,plain,
    ( ~ spl0_15
    | ~ spl0_31
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f3026]) ).

fof(f3026,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_31
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f3024,f995]) ).

fof(f995,plain,
    ( c3_1(a1973)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f993]) ).

fof(f993,plain,
    ( spl0_148
  <=> c3_1(a1973) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f3024,plain,
    ( ~ c3_1(a1973)
    | ~ spl0_15
    | ~ spl0_31
    | ~ spl0_149 ),
    inference(resolution,[],[f1000,f2859]) ).

fof(f2859,plain,
    ( ! [X11] :
        ( ~ c1_1(X11)
        | ~ c3_1(X11) )
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f378,f309]) ).

fof(f309,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f308,plain,
    ( spl0_15
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f3016,plain,
    ( spl0_96
    | ~ spl0_46
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f3015,f726,f721,f447,f716]) ).

fof(f716,plain,
    ( spl0_96
  <=> c0_1(a2001) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f721,plain,
    ( spl0_97
  <=> c3_1(a2001) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f726,plain,
    ( spl0_98
  <=> c2_1(a2001) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f3015,plain,
    ( c0_1(a2001)
    | ~ spl0_46
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(subsumption_resolution,[],[f2871,f728]) ).

fof(f728,plain,
    ( c2_1(a2001)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f2871,plain,
    ( c0_1(a2001)
    | ~ c2_1(a2001)
    | ~ spl0_46
    | ~ spl0_97 ),
    inference(resolution,[],[f723,f448]) ).

fof(f723,plain,
    ( c3_1(a2001)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f2933,plain,
    ( spl0_138
    | spl0_139
    | ~ spl0_35
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2760,f950,f395,f945,f940]) ).

fof(f940,plain,
    ( spl0_138
  <=> c3_1(a1977) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2760,plain,
    ( c2_1(a1977)
    | c3_1(a1977)
    | ~ spl0_35
    | ~ spl0_140 ),
    inference(resolution,[],[f396,f952]) ).

fof(f2929,plain,
    ( ~ spl0_15
    | ~ spl0_31
    | ~ spl0_63
    | ~ spl0_156 ),
    inference(avatar_contradiction_clause,[],[f2928]) ).

fof(f2928,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_31
    | ~ spl0_63
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f2914,f542]) ).

fof(f542,plain,
    ( c3_1(a2005)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f540,plain,
    ( spl0_63
  <=> c3_1(a2005) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f2914,plain,
    ( ~ c3_1(a2005)
    | ~ spl0_15
    | ~ spl0_31
    | ~ spl0_156 ),
    inference(resolution,[],[f2859,f1134]) ).

fof(f1134,plain,
    ( c1_1(a2005)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1133]) ).

fof(f2903,plain,
    ( ~ spl0_170
    | ~ spl0_146
    | ~ spl0_15
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2747,f977,f308,f982,f2900]) ).

fof(f2747,plain,
    ( ~ c1_1(a1974)
    | ~ c3_1(a1974)
    | ~ spl0_15
    | ~ spl0_145 ),
    inference(resolution,[],[f309,f979]) ).

fof(f2893,plain,
    ( spl0_144
    | ~ spl0_46
    | ~ spl0_50
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2883,f977,f468,f447,f972]) ).

fof(f2883,plain,
    ( c0_1(a1974)
    | ~ spl0_46
    | ~ spl0_50
    | ~ spl0_145 ),
    inference(resolution,[],[f2836,f979]) ).

fof(f2836,plain,
    ( ! [X59] :
        ( ~ c2_1(X59)
        | c0_1(X59) )
    | ~ spl0_46
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f469,f448]) ).

fof(f2838,plain,
    ( spl0_60
    | ~ spl0_41
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f2799,f447,f420,f521]) ).

fof(f2799,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_41
    | ~ spl0_46 ),
    inference(duplicate_literal_removal,[],[f2791]) ).

fof(f2791,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_41
    | ~ spl0_46 ),
    inference(resolution,[],[f421,f448]) ).

fof(f2825,plain,
    ( ~ spl0_48
    | spl0_102
    | ~ spl0_103
    | ~ spl0_104 ),
    inference(avatar_contradiction_clause,[],[f2824]) ).

fof(f2824,plain,
    ( $false
    | ~ spl0_48
    | spl0_102
    | ~ spl0_103
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f2823,f760]) ).

fof(f2823,plain,
    ( ~ c1_1(a1998)
    | ~ spl0_48
    | spl0_102
    | ~ spl0_103 ),
    inference(subsumption_resolution,[],[f2813,f755]) ).

fof(f2813,plain,
    ( ~ c3_1(a1998)
    | ~ c1_1(a1998)
    | ~ spl0_48
    | spl0_102 ),
    inference(resolution,[],[f458,f750]) ).

fof(f458,plain,
    ( ! [X50] :
        ( c0_1(X50)
        | ~ c3_1(X50)
        | ~ c1_1(X50) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f457,plain,
    ( spl0_48
  <=> ! [X50] :
        ( ~ c3_1(X50)
        | c0_1(X50)
        | ~ c1_1(X50) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f2720,plain,
    ( ~ spl0_41
    | ~ spl0_45
    | spl0_99
    | spl0_100 ),
    inference(avatar_contradiction_clause,[],[f2719]) ).

fof(f2719,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_45
    | spl0_99
    | spl0_100 ),
    inference(subsumption_resolution,[],[f2710,f739]) ).

fof(f739,plain,
    ( ~ c1_1(a2000)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f737,plain,
    ( spl0_100
  <=> c1_1(a2000) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f2710,plain,
    ( c1_1(a2000)
    | ~ spl0_41
    | ~ spl0_45
    | spl0_99 ),
    inference(resolution,[],[f2678,f734]) ).

fof(f2678,plain,
    ( ! [X26] :
        ( c3_1(X26)
        | c1_1(X26) )
    | ~ spl0_41
    | ~ spl0_45 ),
    inference(subsumption_resolution,[],[f421,f443]) ).

fof(f443,plain,
    ( ! [X41] :
        ( c3_1(X41)
        | c1_1(X41)
        | c2_1(X41) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f442,plain,
    ( spl0_45
  <=> ! [X41] :
        ( c3_1(X41)
        | c1_1(X41)
        | c2_1(X41) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f2645,plain,
    ( spl0_130
    | ~ spl0_46
    | ~ spl0_52
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2623,f902,f479,f447,f897]) ).

fof(f2623,plain,
    ( c0_1(a1983)
    | ~ spl0_46
    | ~ spl0_52
    | ~ spl0_131 ),
    inference(resolution,[],[f2616,f904]) ).

fof(f2616,plain,
    ( ! [X69] :
        ( ~ c3_1(X69)
        | c0_1(X69) )
    | ~ spl0_46
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f480,f448]) ).

fof(f2639,plain,
    ( spl0_102
    | ~ spl0_46
    | ~ spl0_52
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2626,f753,f479,f447,f748]) ).

fof(f2626,plain,
    ( c0_1(a1998)
    | ~ spl0_46
    | ~ spl0_52
    | ~ spl0_103 ),
    inference(resolution,[],[f2616,f755]) ).

fof(f2632,plain,
    ( ~ spl0_46
    | ~ spl0_52
    | spl0_130
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f2631]) ).

fof(f2631,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_52
    | spl0_130
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f2623,f899]) ).

fof(f2603,plain,
    ( ~ spl0_46
    | ~ spl0_50
    | spl0_109
    | ~ spl0_110 ),
    inference(avatar_contradiction_clause,[],[f2602]) ).

fof(f2602,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_50
    | spl0_109
    | ~ spl0_110 ),
    inference(subsumption_resolution,[],[f2593,f787]) ).

fof(f2593,plain,
    ( c0_1(a1993)
    | ~ spl0_46
    | ~ spl0_50
    | ~ spl0_110 ),
    inference(resolution,[],[f2587,f792]) ).

fof(f2587,plain,
    ( ! [X59] :
        ( ~ c2_1(X59)
        | c0_1(X59) )
    | ~ spl0_46
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f469,f448]) ).

fof(f2601,plain,
    ( ~ spl0_46
    | ~ spl0_50
    | spl0_121
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f2600]) ).

fof(f2600,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_50
    | spl0_121
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f2592,f851]) ).

fof(f2592,plain,
    ( c0_1(a1989)
    | ~ spl0_46
    | ~ spl0_50
    | ~ spl0_122 ),
    inference(resolution,[],[f2587,f856]) ).

fof(f2522,plain,
    ( ~ spl0_18
    | ~ spl0_106
    | ~ spl0_107
    | ~ spl0_163 ),
    inference(avatar_contradiction_clause,[],[f2521]) ).

fof(f2521,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_106
    | ~ spl0_107
    | ~ spl0_163 ),
    inference(subsumption_resolution,[],[f2520,f771]) ).

fof(f2520,plain,
    ( ~ c3_1(a1996)
    | ~ spl0_18
    | ~ spl0_107
    | ~ spl0_163 ),
    inference(subsumption_resolution,[],[f2511,f776]) ).

fof(f2511,plain,
    ( ~ c0_1(a1996)
    | ~ c3_1(a1996)
    | ~ spl0_18
    | ~ spl0_163 ),
    inference(resolution,[],[f321,f1552]) ).

fof(f2473,plain,
    ( ~ spl0_95
    | ~ spl0_21
    | ~ spl0_49
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f2460,f705,f463,f332,f710]) ).

fof(f710,plain,
    ( spl0_95
  <=> c1_1(a2003) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f705,plain,
    ( spl0_94
  <=> c2_1(a2003) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f2460,plain,
    ( ~ c1_1(a2003)
    | ~ spl0_21
    | ~ spl0_49
    | ~ spl0_94 ),
    inference(resolution,[],[f2425,f707]) ).

fof(f707,plain,
    ( c2_1(a2003)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f2425,plain,
    ( ! [X55] :
        ( ~ c2_1(X55)
        | ~ c1_1(X55) )
    | ~ spl0_21
    | ~ spl0_49 ),
    inference(subsumption_resolution,[],[f464,f333]) ).

fof(f2448,plain,
    ( ~ spl0_27
    | ~ spl0_50
    | spl0_93
    | ~ spl0_94 ),
    inference(avatar_contradiction_clause,[],[f2447]) ).

fof(f2447,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_50
    | spl0_93
    | ~ spl0_94 ),
    inference(subsumption_resolution,[],[f2437,f702]) ).

fof(f702,plain,
    ( ~ c3_1(a2003)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f700,plain,
    ( spl0_93
  <=> c3_1(a2003) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f2437,plain,
    ( c3_1(a2003)
    | ~ spl0_27
    | ~ spl0_50
    | ~ spl0_94 ),
    inference(resolution,[],[f2422,f707]) ).

fof(f2422,plain,
    ( ! [X59] :
        ( ~ c2_1(X59)
        | c3_1(X59) )
    | ~ spl0_27
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f469,f359]) ).

fof(f2371,plain,
    ( ~ spl0_133
    | spl0_132
    | ~ spl0_36
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2332,f918,f398,f908,f913]) ).

fof(f2332,plain,
    ( c3_1(a1981)
    | ~ c1_1(a1981)
    | ~ spl0_36
    | ~ spl0_134 ),
    inference(resolution,[],[f399,f920]) ).

fof(f2361,plain,
    ( ~ spl0_159
    | ~ spl0_36
    | spl0_114
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f2360,f822,f812,f398,f1350]) ).

fof(f822,plain,
    ( spl0_116
  <=> c0_1(a1991) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f2360,plain,
    ( ~ c1_1(a1991)
    | ~ spl0_36
    | spl0_114
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f2333,f814]) ).

fof(f2333,plain,
    ( c3_1(a1991)
    | ~ c1_1(a1991)
    | ~ spl0_36
    | ~ spl0_116 ),
    inference(resolution,[],[f399,f824]) ).

fof(f824,plain,
    ( c0_1(a1991)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f2341,plain,
    ( spl0_158
    | ~ spl0_36
    | ~ spl0_85
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f2340,f662,f657,f398,f1331]) ).

fof(f2340,plain,
    ( c3_1(a2014)
    | ~ spl0_36
    | ~ spl0_85
    | ~ spl0_86 ),
    inference(subsumption_resolution,[],[f2336,f659]) ).

fof(f2336,plain,
    ( c3_1(a2014)
    | ~ c1_1(a2014)
    | ~ spl0_36
    | ~ spl0_86 ),
    inference(resolution,[],[f399,f664]) ).

fof(f2329,plain,
    ( ~ spl0_27
    | ~ spl0_38
    | spl0_150
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f2328]) ).

fof(f2328,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_38
    | spl0_150
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2327,f1011]) ).

fof(f2327,plain,
    ( ~ c2_1(a1971)
    | ~ spl0_27
    | ~ spl0_38
    | spl0_150
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2324,f1006]) ).

fof(f1006,plain,
    ( ~ c1_1(a1971)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f1004]) ).

fof(f2324,plain,
    ( c1_1(a1971)
    | ~ c2_1(a1971)
    | ~ spl0_27
    | ~ spl0_38
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(resolution,[],[f2291,f407]) ).

fof(f407,plain,
    ( ! [X20] :
        ( ~ c3_1(X20)
        | c1_1(X20)
        | ~ c2_1(X20) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f406,plain,
    ( spl0_38
  <=> ! [X20] :
        ( ~ c3_1(X20)
        | c1_1(X20)
        | ~ c2_1(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f2291,plain,
    ( c3_1(a1971)
    | ~ spl0_27
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2284,f1011]) ).

fof(f2284,plain,
    ( c3_1(a1971)
    | ~ c2_1(a1971)
    | ~ spl0_27
    | ~ spl0_152 ),
    inference(resolution,[],[f359,f1016]) ).

fof(f2322,plain,
    ( ~ spl0_95
    | ~ spl0_24
    | spl0_93
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f2321,f705,f700,f346,f710]) ).

fof(f346,plain,
    ( spl0_24
  <=> ! [X5] :
        ( ~ c2_1(X5)
        | c3_1(X5)
        | ~ c1_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f2321,plain,
    ( ~ c1_1(a2003)
    | ~ spl0_24
    | spl0_93
    | ~ spl0_94 ),
    inference(subsumption_resolution,[],[f2269,f702]) ).

fof(f2269,plain,
    ( c3_1(a2003)
    | ~ c1_1(a2003)
    | ~ spl0_24
    | ~ spl0_94 ),
    inference(resolution,[],[f347,f707]) ).

fof(f347,plain,
    ( ! [X5] :
        ( ~ c2_1(X5)
        | c3_1(X5)
        | ~ c1_1(X5) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f2256,plain,
    ( spl0_129
    | ~ spl0_38
    | ~ spl0_42
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2240,f902,f425,f406,f892]) ).

fof(f2240,plain,
    ( c1_1(a1983)
    | ~ spl0_38
    | ~ spl0_42
    | ~ spl0_131 ),
    inference(resolution,[],[f2231,f904]) ).

fof(f2231,plain,
    ( ! [X28] :
        ( ~ c3_1(X28)
        | c1_1(X28) )
    | ~ spl0_38
    | ~ spl0_42 ),
    inference(subsumption_resolution,[],[f426,f407]) ).

fof(f2230,plain,
    ( ~ spl0_156
    | ~ spl0_64
    | ~ spl0_21
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1921,f550,f332,f545,f1133]) ).

fof(f1921,plain,
    ( ~ c2_1(a2005)
    | ~ c1_1(a2005)
    | ~ spl0_21
    | ~ spl0_65 ),
    inference(resolution,[],[f552,f333]) ).

fof(f2229,plain,
    ( ~ spl0_64
    | spl0_156
    | ~ spl0_38
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f2218,f540,f406,f1133,f545]) ).

fof(f2218,plain,
    ( c1_1(a2005)
    | ~ c2_1(a2005)
    | ~ spl0_38
    | ~ spl0_63 ),
    inference(resolution,[],[f407,f542]) ).

fof(f2228,plain,
    ( spl0_123
    | ~ spl0_38
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f2227,f870,f865,f406,f860]) ).

fof(f2227,plain,
    ( c1_1(a1987)
    | ~ spl0_38
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f2213,f872]) ).

fof(f2213,plain,
    ( c1_1(a1987)
    | ~ c2_1(a1987)
    | ~ spl0_38
    | ~ spl0_124 ),
    inference(resolution,[],[f407,f867]) ).

fof(f2180,plain,
    ( ~ spl0_21
    | ~ spl0_33
    | ~ spl0_38
    | ~ spl0_49
    | ~ spl0_52
    | spl0_130
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f2179]) ).

fof(f2179,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_38
    | ~ spl0_49
    | ~ spl0_52
    | spl0_130
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f2171,f899]) ).

fof(f2171,plain,
    ( c0_1(a1983)
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_38
    | ~ spl0_49
    | ~ spl0_52
    | ~ spl0_131 ),
    inference(resolution,[],[f2168,f904]) ).

fof(f2168,plain,
    ( ! [X69] :
        ( ~ c3_1(X69)
        | c0_1(X69) )
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_38
    | ~ spl0_49
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f480,f2116]) ).

fof(f2116,plain,
    ( ! [X20] :
        ( ~ c3_1(X20)
        | ~ c2_1(X20) )
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_38
    | ~ spl0_49 ),
    inference(subsumption_resolution,[],[f407,f2042]) ).

fof(f2042,plain,
    ( ! [X55] :
        ( ~ c1_1(X55)
        | ~ c2_1(X55) )
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_49 ),
    inference(subsumption_resolution,[],[f464,f1500]) ).

fof(f1500,plain,
    ( ! [X14] :
        ( ~ c0_1(X14)
        | ~ c1_1(X14) )
    | ~ spl0_21
    | ~ spl0_33 ),
    inference(subsumption_resolution,[],[f387,f333]) ).

fof(f2103,plain,
    ( ~ spl0_27
    | spl0_114
    | ~ spl0_115
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f2102]) ).

fof(f2102,plain,
    ( $false
    | ~ spl0_27
    | spl0_114
    | ~ spl0_115
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f2101,f819]) ).

fof(f2101,plain,
    ( ~ c2_1(a1991)
    | ~ spl0_27
    | spl0_114
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f2094,f814]) ).

fof(f2094,plain,
    ( c3_1(a1991)
    | ~ c2_1(a1991)
    | ~ spl0_27
    | ~ spl0_116 ),
    inference(resolution,[],[f359,f824]) ).

fof(f1991,plain,
    ( ~ spl0_133
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1980,f918,f386,f332,f913]) ).

fof(f1980,plain,
    ( ~ c1_1(a1981)
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_134 ),
    inference(resolution,[],[f920,f1500]) ).

fof(f1970,plain,
    ( ~ spl0_21
    | ~ spl0_33
    | ~ spl0_55
    | spl0_111
    | ~ spl0_113 ),
    inference(avatar_contradiction_clause,[],[f1969]) ).

fof(f1969,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_55
    | spl0_111
    | ~ spl0_113 ),
    inference(subsumption_resolution,[],[f1962,f798]) ).

fof(f1962,plain,
    ( c2_1(a1992)
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_55
    | ~ spl0_113 ),
    inference(resolution,[],[f1956,f808]) ).

fof(f1956,plain,
    ( ! [X90] :
        ( ~ c1_1(X90)
        | c2_1(X90) )
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f500,f1500]) ).

fof(f1968,plain,
    ( ~ spl0_21
    | ~ spl0_33
    | ~ spl0_55
    | spl0_139
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1967]) ).

fof(f1967,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_55
    | spl0_139
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1960,f947]) ).

fof(f1960,plain,
    ( c2_1(a1977)
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_55
    | ~ spl0_140 ),
    inference(resolution,[],[f1956,f952]) ).

fof(f1916,plain,
    ( ~ spl0_21
    | ~ spl0_27
    | ~ spl0_33
    | ~ spl0_39
    | ~ spl0_44
    | ~ spl0_65 ),
    inference(avatar_contradiction_clause,[],[f1915]) ).

fof(f1915,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_27
    | ~ spl0_33
    | ~ spl0_39
    | ~ spl0_44
    | ~ spl0_65 ),
    inference(subsumption_resolution,[],[f552,f1869]) ).

fof(f1869,plain,
    ( ! [X23] : ~ c0_1(X23)
    | ~ spl0_21
    | ~ spl0_27
    | ~ spl0_33
    | ~ spl0_39
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f1868,f1500]) ).

fof(f1868,plain,
    ( ! [X23] :
        ( c1_1(X23)
        | ~ c0_1(X23) )
    | ~ spl0_21
    | ~ spl0_27
    | ~ spl0_33
    | ~ spl0_39
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f412,f1726]) ).

fof(f1726,plain,
    ( ! [X6] :
        ( ~ c0_1(X6)
        | c3_1(X6) )
    | ~ spl0_21
    | ~ spl0_27
    | ~ spl0_33
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f359,f1646]) ).

fof(f1646,plain,
    ( ! [X32] :
        ( ~ c0_1(X32)
        | c2_1(X32) )
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f436,f1500]) ).

fof(f1834,plain,
    ( ~ spl0_72
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_48
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1830,f598,f457,f386,f332,f588]) ).

fof(f588,plain,
    ( spl0_72
  <=> c3_1(a1970) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f598,plain,
    ( spl0_74
  <=> c1_1(a1970) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1830,plain,
    ( ~ c3_1(a1970)
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_48
    | ~ spl0_74 ),
    inference(resolution,[],[f1765,f600]) ).

fof(f600,plain,
    ( c1_1(a1970)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f1765,plain,
    ( ! [X50] :
        ( ~ c1_1(X50)
        | ~ c3_1(X50) )
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f458,f1500]) ).

fof(f1776,plain,
    ( ~ spl0_21
    | ~ spl0_33
    | ~ spl0_51
    | spl0_138
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1775]) ).

fof(f1775,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_51
    | spl0_138
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1774,f942]) ).

fof(f942,plain,
    ( ~ c3_1(a1977)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f1774,plain,
    ( c3_1(a1977)
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_51
    | ~ spl0_140 ),
    inference(resolution,[],[f952,f1690]) ).

fof(f1690,plain,
    ( ! [X66] :
        ( ~ c1_1(X66)
        | c3_1(X66) )
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f475,f1500]) ).

fof(f1769,plain,
    ( ~ spl0_21
    | ~ spl0_33
    | ~ spl0_51
    | spl0_93
    | ~ spl0_95 ),
    inference(avatar_contradiction_clause,[],[f1768]) ).

fof(f1768,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_51
    | spl0_93
    | ~ spl0_95 ),
    inference(subsumption_resolution,[],[f1767,f702]) ).

fof(f1767,plain,
    ( c3_1(a2003)
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_51
    | ~ spl0_95 ),
    inference(resolution,[],[f712,f1690]) ).

fof(f712,plain,
    ( c1_1(a2003)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f1684,plain,
    ( ~ spl0_21
    | ~ spl0_33
    | ~ spl0_44
    | ~ spl0_52
    | spl0_117
    | ~ spl0_119 ),
    inference(avatar_contradiction_clause,[],[f1683]) ).

fof(f1683,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_44
    | ~ spl0_52
    | spl0_117
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f1674,f830]) ).

fof(f1674,plain,
    ( c2_1(a1990)
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_44
    | ~ spl0_52
    | ~ spl0_119 ),
    inference(resolution,[],[f1669,f840]) ).

fof(f1669,plain,
    ( ! [X69] :
        ( ~ c3_1(X69)
        | c2_1(X69) )
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_44
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f480,f1646]) ).

fof(f1599,plain,
    ( ~ spl0_21
    | ~ spl0_33
    | ~ spl0_35
    | ~ spl0_48
    | ~ spl0_49
    | ~ spl0_113 ),
    inference(avatar_contradiction_clause,[],[f1592]) ).

fof(f1592,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_35
    | ~ spl0_48
    | ~ spl0_49
    | ~ spl0_113 ),
    inference(resolution,[],[f1580,f808]) ).

fof(f1580,plain,
    ( ! [X50] : ~ c1_1(X50)
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_35
    | ~ spl0_48
    | ~ spl0_49 ),
    inference(subsumption_resolution,[],[f1579,f1525]) ).

fof(f1525,plain,
    ( ! [X18] :
        ( ~ c1_1(X18)
        | c3_1(X18) )
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_35
    | ~ spl0_49 ),
    inference(subsumption_resolution,[],[f396,f1511]) ).

fof(f1511,plain,
    ( ! [X55] :
        ( ~ c1_1(X55)
        | ~ c2_1(X55) )
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_49 ),
    inference(subsumption_resolution,[],[f464,f1500]) ).

fof(f1579,plain,
    ( ! [X50] :
        ( ~ c3_1(X50)
        | ~ c1_1(X50) )
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f458,f1500]) ).

fof(f1564,plain,
    ( ~ spl0_163
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1504,f774,f386,f332,f1551]) ).

fof(f1504,plain,
    ( ~ c1_1(a1996)
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_107 ),
    inference(resolution,[],[f1500,f776]) ).

fof(f1510,plain,
    ( ~ spl0_70
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1507,f582,f386,f332,f577]) ).

fof(f582,plain,
    ( spl0_71
  <=> c0_1(a1972) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1507,plain,
    ( ~ c1_1(a1972)
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_71 ),
    inference(resolution,[],[f1500,f584]) ).

fof(f584,plain,
    ( c0_1(a1972)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f1464,plain,
    ( ~ spl0_44
    | spl0_141
    | spl0_142
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f1463]) ).

fof(f1463,plain,
    ( $false
    | ~ spl0_44
    | spl0_141
    | spl0_142
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f1462,f958]) ).

fof(f958,plain,
    ( ~ c2_1(a1975)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f956,plain,
    ( spl0_141
  <=> c2_1(a1975) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1462,plain,
    ( c2_1(a1975)
    | ~ spl0_44
    | spl0_142
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f1456,f963]) ).

fof(f963,plain,
    ( ~ c1_1(a1975)
    | spl0_142 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f961,plain,
    ( spl0_142
  <=> c1_1(a1975) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1456,plain,
    ( c1_1(a1975)
    | c2_1(a1975)
    | ~ spl0_44
    | ~ spl0_143 ),
    inference(resolution,[],[f436,f968]) ).

fof(f968,plain,
    ( c0_1(a1975)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f966,plain,
    ( spl0_143
  <=> c0_1(a1975) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1454,plain,
    ( ~ spl0_161
    | ~ spl0_21
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1453,f582,f577,f332,f1412]) ).

fof(f1453,plain,
    ( ~ c2_1(a1972)
    | ~ spl0_21
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(subsumption_resolution,[],[f1450,f579]) ).

fof(f1450,plain,
    ( ~ c2_1(a1972)
    | ~ c1_1(a1972)
    | ~ spl0_21
    | ~ spl0_71 ),
    inference(resolution,[],[f333,f584]) ).

fof(f1443,plain,
    ( ~ spl0_15
    | ~ spl0_31
    | ~ spl0_103
    | ~ spl0_104 ),
    inference(avatar_contradiction_clause,[],[f1442]) ).

fof(f1442,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_31
    | ~ spl0_103
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f1441,f760]) ).

fof(f1441,plain,
    ( ~ c1_1(a1998)
    | ~ spl0_15
    | ~ spl0_31
    | ~ spl0_103 ),
    inference(resolution,[],[f1438,f755]) ).

fof(f1438,plain,
    ( ! [X11] :
        ( ~ c3_1(X11)
        | ~ c1_1(X11) )
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f378,f309]) ).

fof(f1409,plain,
    ( spl0_158
    | ~ spl0_35
    | spl0_84
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1408,f657,f652,f395,f1331]) ).

fof(f1408,plain,
    ( c3_1(a2014)
    | ~ spl0_35
    | spl0_84
    | ~ spl0_85 ),
    inference(subsumption_resolution,[],[f1399,f654]) ).

fof(f1399,plain,
    ( c2_1(a2014)
    | c3_1(a2014)
    | ~ spl0_35
    | ~ spl0_85 ),
    inference(resolution,[],[f396,f659]) ).

fof(f1334,plain,
    ( ~ spl0_158
    | ~ spl0_86
    | ~ spl0_18
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1302,f657,f320,f662,f1331]) ).

fof(f1302,plain,
    ( ~ c0_1(a2014)
    | ~ c3_1(a2014)
    | ~ spl0_18
    | ~ spl0_85 ),
    inference(resolution,[],[f659,f321]) ).

fof(f1288,plain,
    ( ~ spl0_21
    | ~ spl0_40
    | ~ spl0_115
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f1287]) ).

fof(f1287,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_40
    | ~ spl0_115
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f1285,f819]) ).

fof(f1285,plain,
    ( ~ c2_1(a1991)
    | ~ spl0_21
    | ~ spl0_40
    | ~ spl0_116 ),
    inference(resolution,[],[f824,f1124]) ).

fof(f1124,plain,
    ( ! [X25] :
        ( ~ c0_1(X25)
        | ~ c2_1(X25) )
    | ~ spl0_21
    | ~ spl0_40 ),
    inference(subsumption_resolution,[],[f417,f333]) ).

fof(f1163,plain,
    ( ~ spl0_42
    | spl0_117
    | spl0_118
    | ~ spl0_119 ),
    inference(avatar_contradiction_clause,[],[f1162]) ).

fof(f1162,plain,
    ( $false
    | ~ spl0_42
    | spl0_117
    | spl0_118
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f1161,f830]) ).

fof(f1161,plain,
    ( c2_1(a1990)
    | ~ spl0_42
    | spl0_118
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f1152,f835]) ).

fof(f1152,plain,
    ( c1_1(a1990)
    | c2_1(a1990)
    | ~ spl0_42
    | ~ spl0_119 ),
    inference(resolution,[],[f426,f840]) ).

fof(f1146,plain,
    ( ~ spl0_41
    | spl0_90
    | spl0_91
    | ~ spl0_92 ),
    inference(avatar_contradiction_clause,[],[f1145]) ).

fof(f1145,plain,
    ( $false
    | ~ spl0_41
    | spl0_90
    | spl0_91
    | ~ spl0_92 ),
    inference(subsumption_resolution,[],[f1144,f696]) ).

fof(f696,plain,
    ( c2_1(a2009)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f694,plain,
    ( spl0_92
  <=> c2_1(a2009) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1144,plain,
    ( ~ c2_1(a2009)
    | ~ spl0_41
    | spl0_90
    | spl0_91 ),
    inference(subsumption_resolution,[],[f1141,f691]) ).

fof(f691,plain,
    ( ~ c1_1(a2009)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f689,plain,
    ( spl0_91
  <=> c1_1(a2009) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1141,plain,
    ( c1_1(a2009)
    | ~ c2_1(a2009)
    | ~ spl0_41
    | spl0_90 ),
    inference(resolution,[],[f421,f686]) ).

fof(f686,plain,
    ( ~ c3_1(a2009)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f684,plain,
    ( spl0_90
  <=> c3_1(a2009) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1131,plain,
    ( ~ spl0_64
    | ~ spl0_21
    | ~ spl0_40
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1128,f550,f416,f332,f545]) ).

fof(f1128,plain,
    ( ~ c2_1(a2005)
    | ~ spl0_21
    | ~ spl0_40
    | ~ spl0_65 ),
    inference(resolution,[],[f1124,f552]) ).

fof(f1121,plain,
    ( ~ spl0_18
    | ~ spl0_36
    | ~ spl0_39
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(avatar_contradiction_clause,[],[f1120]) ).

fof(f1120,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_36
    | ~ spl0_39
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(subsumption_resolution,[],[f1116,f771]) ).

fof(f1116,plain,
    ( ~ c3_1(a1996)
    | ~ spl0_18
    | ~ spl0_36
    | ~ spl0_39
    | ~ spl0_107 ),
    inference(resolution,[],[f1115,f776]) ).

fof(f1115,plain,
    ( ! [X23] :
        ( ~ c0_1(X23)
        | ~ c3_1(X23) )
    | ~ spl0_18
    | ~ spl0_36
    | ~ spl0_39 ),
    inference(subsumption_resolution,[],[f412,f1076]) ).

fof(f1076,plain,
    ( ! [X16] :
        ( ~ c1_1(X16)
        | ~ c0_1(X16) )
    | ~ spl0_18
    | ~ spl0_36 ),
    inference(subsumption_resolution,[],[f399,f321]) ).

fof(f1086,plain,
    ( ~ spl0_18
    | ~ spl0_36
    | ~ spl0_85
    | ~ spl0_86 ),
    inference(avatar_contradiction_clause,[],[f1085]) ).

fof(f1085,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_36
    | ~ spl0_85
    | ~ spl0_86 ),
    inference(subsumption_resolution,[],[f1084,f664]) ).

fof(f1084,plain,
    ( ~ c0_1(a2014)
    | ~ spl0_18
    | ~ spl0_36
    | ~ spl0_85 ),
    inference(resolution,[],[f1076,f659]) ).

fof(f1046,plain,
    ( ~ spl0_71
    | ~ spl0_18
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1045,f577,f572,f320,f582]) ).

fof(f1045,plain,
    ( ~ c0_1(a1972)
    | ~ spl0_18
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(subsumption_resolution,[],[f1039,f574]) ).

fof(f574,plain,
    ( c3_1(a1972)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f1039,plain,
    ( ~ c0_1(a1972)
    | ~ c3_1(a1972)
    | ~ spl0_18
    | ~ spl0_70 ),
    inference(resolution,[],[f321,f579]) ).

fof(f1028,plain,
    ( ~ spl0_30
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f9,f1025,f370]) ).

fof(f370,plain,
    ( spl0_30
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f9,plain,
    ( ~ c2_1(a1969)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

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

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

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

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

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

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

fof(f1023,plain,
    ( ~ spl0_30
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f10,f1020,f370]) ).

fof(f10,plain,
    ( ~ c3_1(a1969)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1018,plain,
    ( ~ spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f11,f304,f299]) ).

fof(f299,plain,
    ( spl0_13
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f304,plain,
    ( spl0_14
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f11,plain,
    ( ndr1_0
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1017,plain,
    ( ~ spl0_13
    | spl0_152 ),
    inference(avatar_split_clause,[],[f12,f1014,f299]) ).

fof(f12,plain,
    ( c0_1(a1971)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1012,plain,
    ( ~ spl0_13
    | spl0_151 ),
    inference(avatar_split_clause,[],[f13,f1009,f299]) ).

fof(f13,plain,
    ( c2_1(a1971)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1007,plain,
    ( ~ spl0_13
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f14,f1004,f299]) ).

fof(f14,plain,
    ( ~ c1_1(a1971)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1001,plain,
    ( ~ spl0_43
    | spl0_149 ),
    inference(avatar_split_clause,[],[f16,f998,f428]) ).

fof(f428,plain,
    ( spl0_43
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f16,plain,
    ( c1_1(a1973)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f996,plain,
    ( ~ spl0_43
    | spl0_148 ),
    inference(avatar_split_clause,[],[f17,f993,f428]) ).

fof(f17,plain,
    ( c3_1(a1973)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f991,plain,
    ( ~ spl0_43
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f18,f988,f428]) ).

fof(f18,plain,
    ( ~ c2_1(a1973)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f985,plain,
    ( ~ spl0_23
    | spl0_146 ),
    inference(avatar_split_clause,[],[f20,f982,f340]) ).

fof(f340,plain,
    ( spl0_23
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f20,plain,
    ( c1_1(a1974)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f980,plain,
    ( ~ spl0_23
    | spl0_145 ),
    inference(avatar_split_clause,[],[f21,f977,f340]) ).

fof(f21,plain,
    ( c2_1(a1974)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f975,plain,
    ( ~ spl0_23
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f22,f972,f340]) ).

fof(f22,plain,
    ( ~ c0_1(a1974)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f969,plain,
    ( ~ spl0_16
    | spl0_143 ),
    inference(avatar_split_clause,[],[f24,f966,f311]) ).

fof(f311,plain,
    ( spl0_16
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f24,plain,
    ( c0_1(a1975)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f964,plain,
    ( ~ spl0_16
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f25,f961,f311]) ).

fof(f25,plain,
    ( ~ c1_1(a1975)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f959,plain,
    ( ~ spl0_16
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f26,f956,f311]) ).

fof(f26,plain,
    ( ~ c2_1(a1975)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f953,plain,
    ( ~ spl0_10
    | spl0_140 ),
    inference(avatar_split_clause,[],[f28,f950,f286]) ).

fof(f286,plain,
    ( spl0_10
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f28,plain,
    ( c1_1(a1977)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f948,plain,
    ( ~ spl0_10
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f29,f945,f286]) ).

fof(f29,plain,
    ( ~ c2_1(a1977)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f943,plain,
    ( ~ spl0_10
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f30,f940,f286]) ).

fof(f30,plain,
    ( ~ c3_1(a1977)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f937,plain,
    ( ~ spl0_8
    | spl0_137 ),
    inference(avatar_split_clause,[],[f32,f934,f277]) ).

fof(f277,plain,
    ( spl0_8
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f32,plain,
    ( c3_1(a1979)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f932,plain,
    ( ~ spl0_8
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f33,f929,f277]) ).

fof(f33,plain,
    ( ~ c0_1(a1979)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f927,plain,
    ( ~ spl0_8
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f34,f924,f277]) ).

fof(f34,plain,
    ( ~ c2_1(a1979)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f921,plain,
    ( ~ spl0_56
    | spl0_134 ),
    inference(avatar_split_clause,[],[f36,f918,f503]) ).

fof(f503,plain,
    ( spl0_56
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f36,plain,
    ( c0_1(a1981)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f916,plain,
    ( ~ spl0_56
    | spl0_133 ),
    inference(avatar_split_clause,[],[f37,f913,f503]) ).

fof(f37,plain,
    ( c1_1(a1981)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f911,plain,
    ( ~ spl0_56
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f38,f908,f503]) ).

fof(f38,plain,
    ( ~ c3_1(a1981)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f905,plain,
    ( ~ spl0_11
    | spl0_131 ),
    inference(avatar_split_clause,[],[f40,f902,f290]) ).

fof(f290,plain,
    ( spl0_11
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f40,plain,
    ( c3_1(a1983)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f900,plain,
    ( ~ spl0_11
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f41,f897,f290]) ).

fof(f41,plain,
    ( ~ c0_1(a1983)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f895,plain,
    ( ~ spl0_11
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f42,f892,f290]) ).

fof(f42,plain,
    ( ~ c1_1(a1983)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f889,plain,
    ( ~ spl0_53
    | spl0_128 ),
    inference(avatar_split_clause,[],[f44,f886,f482]) ).

fof(f482,plain,
    ( spl0_53
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f44,plain,
    ( c1_1(a1985)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f884,plain,
    ( ~ spl0_53
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f45,f881,f482]) ).

fof(f45,plain,
    ( ~ c0_1(a1985)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f879,plain,
    ( ~ spl0_53
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f46,f876,f482]) ).

fof(f46,plain,
    ( ~ c3_1(a1985)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f873,plain,
    ( ~ spl0_26
    | spl0_125 ),
    inference(avatar_split_clause,[],[f48,f870,f353]) ).

fof(f353,plain,
    ( spl0_26
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f48,plain,
    ( c2_1(a1987)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f868,plain,
    ( ~ spl0_26
    | spl0_124 ),
    inference(avatar_split_clause,[],[f49,f865,f353]) ).

fof(f49,plain,
    ( c3_1(a1987)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f863,plain,
    ( ~ spl0_26
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f50,f860,f353]) ).

fof(f50,plain,
    ( ~ c1_1(a1987)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f857,plain,
    ( ~ spl0_17
    | spl0_122 ),
    inference(avatar_split_clause,[],[f52,f854,f315]) ).

fof(f315,plain,
    ( spl0_17
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f52,plain,
    ( c2_1(a1989)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f852,plain,
    ( ~ spl0_17
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f53,f849,f315]) ).

fof(f53,plain,
    ( ~ c0_1(a1989)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f847,plain,
    ( ~ spl0_17
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f54,f844,f315]) ).

fof(f54,plain,
    ( ~ c3_1(a1989)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f841,plain,
    ( ~ spl0_29
    | spl0_119 ),
    inference(avatar_split_clause,[],[f56,f838,f366]) ).

fof(f366,plain,
    ( spl0_29
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f56,plain,
    ( c3_1(a1990)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f836,plain,
    ( ~ spl0_29
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f57,f833,f366]) ).

fof(f57,plain,
    ( ~ c1_1(a1990)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f831,plain,
    ( ~ spl0_29
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f58,f828,f366]) ).

fof(f58,plain,
    ( ~ c2_1(a1990)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f825,plain,
    ( ~ spl0_47
    | spl0_116 ),
    inference(avatar_split_clause,[],[f60,f822,f450]) ).

fof(f450,plain,
    ( spl0_47
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f60,plain,
    ( c0_1(a1991)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f820,plain,
    ( ~ spl0_47
    | spl0_115 ),
    inference(avatar_split_clause,[],[f61,f817,f450]) ).

fof(f61,plain,
    ( c2_1(a1991)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f815,plain,
    ( ~ spl0_47
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f62,f812,f450]) ).

fof(f62,plain,
    ( ~ c3_1(a1991)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f809,plain,
    ( ~ spl0_25
    | spl0_113 ),
    inference(avatar_split_clause,[],[f64,f806,f349]) ).

fof(f349,plain,
    ( spl0_25
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f64,plain,
    ( c1_1(a1992)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f804,plain,
    ( ~ spl0_25
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f65,f801,f349]) ).

fof(f65,plain,
    ( ~ c0_1(a1992)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f799,plain,
    ( ~ spl0_25
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f66,f796,f349]) ).

fof(f66,plain,
    ( ~ c2_1(a1992)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f793,plain,
    ( ~ spl0_5
    | spl0_110 ),
    inference(avatar_split_clause,[],[f68,f790,f264]) ).

fof(f264,plain,
    ( spl0_5
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f68,plain,
    ( c2_1(a1993)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f788,plain,
    ( ~ spl0_5
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f69,f785,f264]) ).

fof(f69,plain,
    ( ~ c0_1(a1993)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f777,plain,
    ( ~ spl0_1
    | spl0_107 ),
    inference(avatar_split_clause,[],[f72,f774,f247]) ).

fof(f247,plain,
    ( spl0_1
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f72,plain,
    ( c0_1(a1996)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f772,plain,
    ( ~ spl0_1
    | spl0_106 ),
    inference(avatar_split_clause,[],[f73,f769,f247]) ).

fof(f73,plain,
    ( c3_1(a1996)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f767,plain,
    ( ~ spl0_1
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f74,f764,f247]) ).

fof(f74,plain,
    ( ~ c2_1(a1996)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f761,plain,
    ( ~ spl0_22
    | spl0_104 ),
    inference(avatar_split_clause,[],[f76,f758,f335]) ).

fof(f335,plain,
    ( spl0_22
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f76,plain,
    ( c1_1(a1998)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f756,plain,
    ( ~ spl0_22
    | spl0_103 ),
    inference(avatar_split_clause,[],[f77,f753,f335]) ).

fof(f77,plain,
    ( c3_1(a1998)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f751,plain,
    ( ~ spl0_22
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f78,f748,f335]) ).

fof(f78,plain,
    ( ~ c0_1(a1998)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f745,plain,
    ( ~ spl0_3
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f80,f742,f255]) ).

fof(f255,plain,
    ( spl0_3
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f80,plain,
    ( ~ c0_1(a2000)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f740,plain,
    ( ~ spl0_3
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f81,f737,f255]) ).

fof(f81,plain,
    ( ~ c1_1(a2000)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f735,plain,
    ( ~ spl0_3
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f82,f732,f255]) ).

fof(f82,plain,
    ( ~ c3_1(a2000)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f729,plain,
    ( ~ spl0_4
    | spl0_98 ),
    inference(avatar_split_clause,[],[f84,f726,f260]) ).

fof(f260,plain,
    ( spl0_4
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f84,plain,
    ( c2_1(a2001)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f724,plain,
    ( ~ spl0_4
    | spl0_97 ),
    inference(avatar_split_clause,[],[f85,f721,f260]) ).

fof(f85,plain,
    ( c3_1(a2001)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f719,plain,
    ( ~ spl0_4
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f86,f716,f260]) ).

fof(f86,plain,
    ( ~ c0_1(a2001)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f713,plain,
    ( ~ spl0_32
    | spl0_95 ),
    inference(avatar_split_clause,[],[f88,f710,f381]) ).

fof(f381,plain,
    ( spl0_32
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f88,plain,
    ( c1_1(a2003)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f708,plain,
    ( ~ spl0_32
    | spl0_94 ),
    inference(avatar_split_clause,[],[f89,f705,f381]) ).

fof(f89,plain,
    ( c2_1(a2003)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f703,plain,
    ( ~ spl0_32
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f90,f700,f381]) ).

fof(f90,plain,
    ( ~ c3_1(a2003)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f698,plain,
    ( ~ spl0_2
    | spl0_14 ),
    inference(avatar_split_clause,[],[f91,f304,f251]) ).

fof(f251,plain,
    ( spl0_2
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f91,plain,
    ( ndr1_0
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f697,plain,
    ( ~ spl0_2
    | spl0_92 ),
    inference(avatar_split_clause,[],[f92,f694,f251]) ).

fof(f92,plain,
    ( c2_1(a2009)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f692,plain,
    ( ~ spl0_2
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f93,f689,f251]) ).

fof(f93,plain,
    ( ~ c1_1(a2009)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f687,plain,
    ( ~ spl0_2
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f94,f684,f251]) ).

fof(f94,plain,
    ( ~ c3_1(a2009)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f681,plain,
    ( ~ spl0_34
    | spl0_89 ),
    inference(avatar_split_clause,[],[f96,f678,f390]) ).

fof(f390,plain,
    ( spl0_34
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f96,plain,
    ( c0_1(a2012)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f676,plain,
    ( ~ spl0_34
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f97,f673,f390]) ).

fof(f97,plain,
    ( ~ c2_1(a2012)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f665,plain,
    ( ~ spl0_9
    | spl0_86 ),
    inference(avatar_split_clause,[],[f100,f662,f282]) ).

fof(f282,plain,
    ( spl0_9
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f100,plain,
    ( c0_1(a2014)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f660,plain,
    ( ~ spl0_9
    | spl0_85 ),
    inference(avatar_split_clause,[],[f101,f657,f282]) ).

fof(f101,plain,
    ( c1_1(a2014)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f655,plain,
    ( ~ spl0_9
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f102,f652,f282]) ).

fof(f102,plain,
    ( ~ c2_1(a2014)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f601,plain,
    ( ~ spl0_7
    | spl0_74 ),
    inference(avatar_split_clause,[],[f116,f598,f273]) ).

fof(f273,plain,
    ( spl0_7
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f116,plain,
    ( c1_1(a1970)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f591,plain,
    ( ~ spl0_7
    | spl0_72 ),
    inference(avatar_split_clause,[],[f118,f588,f273]) ).

fof(f118,plain,
    ( c3_1(a1970)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f586,plain,
    ( ~ spl0_12
    | spl0_14 ),
    inference(avatar_split_clause,[],[f119,f304,f295]) ).

fof(f295,plain,
    ( spl0_12
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f119,plain,
    ( ndr1_0
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f585,plain,
    ( ~ spl0_12
    | spl0_71 ),
    inference(avatar_split_clause,[],[f120,f582,f295]) ).

fof(f120,plain,
    ( c0_1(a1972)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f580,plain,
    ( ~ spl0_12
    | spl0_70 ),
    inference(avatar_split_clause,[],[f121,f577,f295]) ).

fof(f121,plain,
    ( c1_1(a1972)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f575,plain,
    ( ~ spl0_12
    | spl0_69 ),
    inference(avatar_split_clause,[],[f122,f572,f295]) ).

fof(f122,plain,
    ( c3_1(a1972)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f569,plain,
    ( ~ spl0_54
    | spl0_68 ),
    inference(avatar_split_clause,[],[f124,f566,f493]) ).

fof(f493,plain,
    ( spl0_54
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f124,plain,
    ( c0_1(a1978)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f564,plain,
    ( ~ spl0_54
    | spl0_67 ),
    inference(avatar_split_clause,[],[f125,f561,f493]) ).

fof(f125,plain,
    ( c1_1(a1978)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f553,plain,
    ( ~ spl0_6
    | spl0_65 ),
    inference(avatar_split_clause,[],[f128,f550,f269]) ).

fof(f269,plain,
    ( spl0_6
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f128,plain,
    ( c0_1(a2005)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f548,plain,
    ( ~ spl0_6
    | spl0_64 ),
    inference(avatar_split_clause,[],[f129,f545,f269]) ).

fof(f129,plain,
    ( c2_1(a2005)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f543,plain,
    ( ~ spl0_6
    | spl0_63 ),
    inference(avatar_split_clause,[],[f130,f540,f269]) ).

fof(f130,plain,
    ( c3_1(a2005)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f519,plain,
    ( spl0_59
    | ~ spl0_14
    | spl0_27
    | spl0_10 ),
    inference(avatar_split_clause,[],[f215,f286,f358,f304,f516]) ).

fof(f215,plain,
    ! [X98,X99] :
      ( hskp5
      | ~ c2_1(X98)
      | ~ c0_1(X98)
      | c3_1(X98)
      | ~ ndr1_0
      | ~ c3_1(X99)
      | c1_1(X99)
      | c0_1(X99) ),
    inference(duplicate_literal_removal,[],[f141]) ).

fof(f141,plain,
    ! [X98,X99] :
      ( hskp5
      | ~ c2_1(X98)
      | ~ c0_1(X98)
      | c3_1(X98)
      | ~ ndr1_0
      | ~ c3_1(X99)
      | c1_1(X99)
      | c0_1(X99)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f510,plain,
    ( spl0_57
    | ~ spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f217,f308,f304,f508]) ).

fof(f217,plain,
    ! [X94,X93] :
      ( ~ c3_1(X93)
      | ~ c2_1(X93)
      | ~ c1_1(X93)
      | ~ ndr1_0
      | c3_1(X94)
      | c2_1(X94)
      | c0_1(X94) ),
    inference(duplicate_literal_removal,[],[f144]) ).

fof(f144,plain,
    ! [X94,X93] :
      ( ~ c3_1(X93)
      | ~ c2_1(X93)
      | ~ c1_1(X93)
      | ~ ndr1_0
      | c3_1(X94)
      | c2_1(X94)
      | c0_1(X94)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f506,plain,
    ( spl0_55
    | ~ spl0_14
    | spl0_49
    | spl0_56 ),
    inference(avatar_split_clause,[],[f218,f503,f463,f304,f499]) ).

fof(f218,plain,
    ! [X91,X92] :
      ( hskp7
      | ~ c2_1(X91)
      | ~ c1_1(X91)
      | c0_1(X91)
      | ~ ndr1_0
      | ~ c1_1(X92)
      | c2_1(X92)
      | c0_1(X92) ),
    inference(duplicate_literal_removal,[],[f145]) ).

fof(f145,plain,
    ! [X91,X92] :
      ( hskp7
      | ~ c2_1(X91)
      | ~ c1_1(X91)
      | c0_1(X91)
      | ~ ndr1_0
      | ~ c1_1(X92)
      | c2_1(X92)
      | c0_1(X92)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f501,plain,
    ( ~ spl0_14
    | spl0_55
    | spl0_12
    | spl0_11 ),
    inference(avatar_split_clause,[],[f146,f290,f295,f499,f304]) ).

fof(f146,plain,
    ! [X90] :
      ( hskp8
      | hskp28
      | ~ c1_1(X90)
      | c2_1(X90)
      | c0_1(X90)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f497,plain,
    ( spl0_52
    | spl0_51
    | ~ spl0_14
    | spl0_31 ),
    inference(avatar_split_clause,[],[f219,f377,f304,f474,f479]) ).

fof(f219,plain,
    ! [X88,X89,X87] :
      ( ~ c3_1(X87)
      | ~ c1_1(X87)
      | c2_1(X87)
      | ~ ndr1_0
      | ~ c1_1(X88)
      | c3_1(X88)
      | c0_1(X88)
      | ~ c3_1(X89)
      | c2_1(X89)
      | c0_1(X89) ),
    inference(duplicate_literal_removal,[],[f147]) ).

fof(f147,plain,
    ! [X88,X89,X87] :
      ( ~ c3_1(X87)
      | ~ c1_1(X87)
      | c2_1(X87)
      | ~ ndr1_0
      | ~ c1_1(X88)
      | c3_1(X88)
      | c0_1(X88)
      | ~ ndr1_0
      | ~ c3_1(X89)
      | c2_1(X89)
      | c0_1(X89)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f496,plain,
    ( spl0_52
    | ~ spl0_14
    | spl0_48
    | spl0_54 ),
    inference(avatar_split_clause,[],[f220,f493,f457,f304,f479]) ).

fof(f220,plain,
    ! [X86,X85] :
      ( hskp29
      | ~ c3_1(X85)
      | ~ c1_1(X85)
      | c0_1(X85)
      | ~ ndr1_0
      | ~ c3_1(X86)
      | c2_1(X86)
      | c0_1(X86) ),
    inference(duplicate_literal_removal,[],[f148]) ).

fof(f148,plain,
    ! [X86,X85] :
      ( hskp29
      | ~ c3_1(X85)
      | ~ c1_1(X85)
      | c0_1(X85)
      | ~ ndr1_0
      | ~ c3_1(X86)
      | c2_1(X86)
      | c0_1(X86)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f491,plain,
    ( spl0_52
    | ~ spl0_14
    | spl0_46
    | spl0_53 ),
    inference(avatar_split_clause,[],[f221,f482,f447,f304,f479]) ).

fof(f221,plain,
    ! [X83,X84] :
      ( hskp9
      | ~ c3_1(X83)
      | ~ c2_1(X83)
      | c0_1(X83)
      | ~ ndr1_0
      | ~ c3_1(X84)
      | c2_1(X84)
      | c0_1(X84) ),
    inference(duplicate_literal_removal,[],[f149]) ).

fof(f149,plain,
    ! [X83,X84] :
      ( hskp9
      | ~ c3_1(X83)
      | ~ c2_1(X83)
      | c0_1(X83)
      | ~ ndr1_0
      | ~ c3_1(X84)
      | c2_1(X84)
      | c0_1(X84)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f490,plain,
    ( spl0_52
    | spl0_44
    | ~ spl0_14
    | spl0_33 ),
    inference(avatar_split_clause,[],[f222,f386,f304,f435,f479]) ).

fof(f222,plain,
    ! [X82,X80,X81] :
      ( ~ c1_1(X80)
      | ~ c0_1(X80)
      | c2_1(X80)
      | ~ ndr1_0
      | ~ c0_1(X81)
      | c2_1(X81)
      | c1_1(X81)
      | ~ c3_1(X82)
      | c2_1(X82)
      | c0_1(X82) ),
    inference(duplicate_literal_removal,[],[f150]) ).

fof(f150,plain,
    ! [X82,X80,X81] :
      ( ~ c1_1(X80)
      | ~ c0_1(X80)
      | c2_1(X80)
      | ~ ndr1_0
      | ~ c0_1(X81)
      | c2_1(X81)
      | c1_1(X81)
      | ~ ndr1_0
      | ~ c3_1(X82)
      | c2_1(X82)
      | c0_1(X82)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f489,plain,
    ( spl0_52
    | spl0_42
    | ~ spl0_14
    | spl0_35 ),
    inference(avatar_split_clause,[],[f223,f395,f304,f425,f479]) ).

fof(f223,plain,
    ! [X78,X79,X77] :
      ( ~ c1_1(X77)
      | c3_1(X77)
      | c2_1(X77)
      | ~ ndr1_0
      | ~ c3_1(X78)
      | c2_1(X78)
      | c1_1(X78)
      | ~ c3_1(X79)
      | c2_1(X79)
      | c0_1(X79) ),
    inference(duplicate_literal_removal,[],[f151]) ).

fof(f151,plain,
    ! [X78,X79,X77] :
      ( ~ c1_1(X77)
      | c3_1(X77)
      | c2_1(X77)
      | ~ ndr1_0
      | ~ c3_1(X78)
      | c2_1(X78)
      | c1_1(X78)
      | ~ ndr1_0
      | ~ c3_1(X79)
      | c2_1(X79)
      | c0_1(X79)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f488,plain,
    ( spl0_52
    | spl0_41
    | ~ spl0_14
    | spl0_33 ),
    inference(avatar_split_clause,[],[f224,f386,f304,f420,f479]) ).

fof(f224,plain,
    ! [X76,X74,X75] :
      ( ~ c1_1(X74)
      | ~ c0_1(X74)
      | c2_1(X74)
      | ~ ndr1_0
      | ~ c2_1(X75)
      | c3_1(X75)
      | c1_1(X75)
      | ~ c3_1(X76)
      | c2_1(X76)
      | c0_1(X76) ),
    inference(duplicate_literal_removal,[],[f152]) ).

fof(f152,plain,
    ! [X76,X74,X75] :
      ( ~ c1_1(X74)
      | ~ c0_1(X74)
      | c2_1(X74)
      | ~ ndr1_0
      | ~ c2_1(X75)
      | c3_1(X75)
      | c1_1(X75)
      | ~ ndr1_0
      | ~ c3_1(X76)
      | c2_1(X76)
      | c0_1(X76)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f487,plain,
    ( spl0_52
    | ~ spl0_14
    | spl0_40
    | spl0_11 ),
    inference(avatar_split_clause,[],[f225,f290,f416,f304,f479]) ).

fof(f225,plain,
    ! [X72,X73] :
      ( hskp8
      | ~ c2_1(X72)
      | ~ c0_1(X72)
      | c1_1(X72)
      | ~ ndr1_0
      | ~ c3_1(X73)
      | c2_1(X73)
      | c0_1(X73) ),
    inference(duplicate_literal_removal,[],[f153]) ).

fof(f153,plain,
    ! [X72,X73] :
      ( hskp8
      | ~ c2_1(X72)
      | ~ c0_1(X72)
      | c1_1(X72)
      | ~ ndr1_0
      | ~ c3_1(X73)
      | c2_1(X73)
      | c0_1(X73)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f486,plain,
    ( spl0_52
    | ~ spl0_14
    | spl0_33
    | spl0_26 ),
    inference(avatar_split_clause,[],[f226,f353,f386,f304,f479]) ).

fof(f226,plain,
    ! [X70,X71] :
      ( hskp10
      | ~ c1_1(X70)
      | ~ c0_1(X70)
      | c2_1(X70)
      | ~ ndr1_0
      | ~ c3_1(X71)
      | c2_1(X71)
      | c0_1(X71) ),
    inference(duplicate_literal_removal,[],[f154]) ).

fof(f154,plain,
    ! [X70,X71] :
      ( hskp10
      | ~ c1_1(X70)
      | ~ c0_1(X70)
      | c2_1(X70)
      | ~ ndr1_0
      | ~ c3_1(X71)
      | c2_1(X71)
      | c0_1(X71)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f485,plain,
    ( ~ spl0_14
    | spl0_52
    | spl0_53
    | spl0_17 ),
    inference(avatar_split_clause,[],[f155,f315,f482,f479,f304]) ).

fof(f155,plain,
    ! [X69] :
      ( hskp11
      | hskp9
      | ~ c3_1(X69)
      | c2_1(X69)
      | c0_1(X69)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f477,plain,
    ( spl0_51
    | ~ spl0_14
    | spl0_48
    | spl0_29 ),
    inference(avatar_split_clause,[],[f227,f366,f457,f304,f474]) ).

fof(f227,plain,
    ! [X68,X67] :
      ( hskp12
      | ~ c3_1(X67)
      | ~ c1_1(X67)
      | c0_1(X67)
      | ~ ndr1_0
      | ~ c1_1(X68)
      | c3_1(X68)
      | c0_1(X68) ),
    inference(duplicate_literal_removal,[],[f156]) ).

fof(f156,plain,
    ! [X68,X67] :
      ( hskp12
      | ~ c3_1(X67)
      | ~ c1_1(X67)
      | c0_1(X67)
      | ~ ndr1_0
      | ~ c1_1(X68)
      | c3_1(X68)
      | c0_1(X68)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f476,plain,
    ( spl0_51
    | spl0_33
    | ~ spl0_14
    | spl0_21 ),
    inference(avatar_split_clause,[],[f228,f332,f304,f386,f474]) ).

fof(f228,plain,
    ! [X65,X66,X64] :
      ( ~ c2_1(X64)
      | ~ c1_1(X64)
      | ~ c0_1(X64)
      | ~ ndr1_0
      | ~ c1_1(X65)
      | ~ c0_1(X65)
      | c2_1(X65)
      | ~ c1_1(X66)
      | c3_1(X66)
      | c0_1(X66) ),
    inference(duplicate_literal_removal,[],[f157]) ).

fof(f157,plain,
    ! [X65,X66,X64] :
      ( ~ c2_1(X64)
      | ~ c1_1(X64)
      | ~ c0_1(X64)
      | ~ ndr1_0
      | ~ c1_1(X65)
      | ~ c0_1(X65)
      | c2_1(X65)
      | ~ ndr1_0
      | ~ c1_1(X66)
      | c3_1(X66)
      | c0_1(X66)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f472,plain,
    ( spl0_50
    | ~ spl0_14
    | spl0_48
    | spl0_47 ),
    inference(avatar_split_clause,[],[f229,f450,f457,f304,f468]) ).

fof(f229,plain,
    ! [X62,X63] :
      ( hskp13
      | ~ c3_1(X62)
      | ~ c1_1(X62)
      | c0_1(X62)
      | ~ ndr1_0
      | ~ c2_1(X63)
      | c3_1(X63)
      | c0_1(X63) ),
    inference(duplicate_literal_removal,[],[f158]) ).

fof(f158,plain,
    ! [X62,X63] :
      ( hskp13
      | ~ c3_1(X62)
      | ~ c1_1(X62)
      | c0_1(X62)
      | ~ ndr1_0
      | ~ c2_1(X63)
      | c3_1(X63)
      | c0_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f471,plain,
    ( spl0_50
    | ~ spl0_14
    | spl0_39
    | spl0_25 ),
    inference(avatar_split_clause,[],[f230,f349,f411,f304,f468]) ).

fof(f230,plain,
    ! [X60,X61] :
      ( hskp14
      | ~ c3_1(X60)
      | ~ c0_1(X60)
      | c1_1(X60)
      | ~ ndr1_0
      | ~ c2_1(X61)
      | c3_1(X61)
      | c0_1(X61) ),
    inference(duplicate_literal_removal,[],[f159]) ).

fof(f159,plain,
    ! [X60,X61] :
      ( hskp14
      | ~ c3_1(X60)
      | ~ c0_1(X60)
      | c1_1(X60)
      | ~ ndr1_0
      | ~ c2_1(X61)
      | c3_1(X61)
      | c0_1(X61)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f470,plain,
    ( spl0_50
    | ~ spl0_14
    | spl0_35
    | spl0_5 ),
    inference(avatar_split_clause,[],[f231,f264,f395,f304,f468]) ).

fof(f231,plain,
    ! [X58,X59] :
      ( hskp15
      | ~ c1_1(X58)
      | c3_1(X58)
      | c2_1(X58)
      | ~ ndr1_0
      | ~ c2_1(X59)
      | c3_1(X59)
      | c0_1(X59) ),
    inference(duplicate_literal_removal,[],[f160]) ).

fof(f160,plain,
    ! [X58,X59] :
      ( hskp15
      | ~ c1_1(X58)
      | c3_1(X58)
      | c2_1(X58)
      | ~ ndr1_0
      | ~ c2_1(X59)
      | c3_1(X59)
      | c0_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f466,plain,
    ( spl0_49
    | ~ spl0_14
    | spl0_48
    | spl0_23 ),
    inference(avatar_split_clause,[],[f232,f340,f457,f304,f463]) ).

fof(f232,plain,
    ! [X56,X57] :
      ( hskp3
      | ~ c3_1(X56)
      | ~ c1_1(X56)
      | c0_1(X56)
      | ~ ndr1_0
      | ~ c2_1(X57)
      | ~ c1_1(X57)
      | c0_1(X57) ),
    inference(duplicate_literal_removal,[],[f161]) ).

fof(f161,plain,
    ! [X56,X57] :
      ( hskp3
      | ~ c3_1(X56)
      | ~ c1_1(X56)
      | c0_1(X56)
      | ~ ndr1_0
      | ~ c2_1(X57)
      | ~ c1_1(X57)
      | c0_1(X57)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f465,plain,
    ( spl0_49
    | ~ spl0_14
    | spl0_36
    | spl0_26 ),
    inference(avatar_split_clause,[],[f233,f353,f398,f304,f463]) ).

fof(f233,plain,
    ! [X54,X55] :
      ( hskp10
      | ~ c1_1(X54)
      | ~ c0_1(X54)
      | c3_1(X54)
      | ~ ndr1_0
      | ~ c2_1(X55)
      | ~ c1_1(X55)
      | c0_1(X55) ),
    inference(duplicate_literal_removal,[],[f162]) ).

fof(f162,plain,
    ! [X54,X55] :
      ( hskp10
      | ~ c1_1(X54)
      | ~ c0_1(X54)
      | c3_1(X54)
      | ~ ndr1_0
      | ~ c2_1(X55)
      | ~ c1_1(X55)
      | c0_1(X55)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f461,plain,
    ( spl0_48
    | ~ spl0_14
    | spl0_18
    | spl0_1 ),
    inference(avatar_split_clause,[],[f234,f247,f320,f304,f457]) ).

fof(f234,plain,
    ! [X52,X53] :
      ( hskp16
      | ~ c3_1(X52)
      | ~ c1_1(X52)
      | ~ c0_1(X52)
      | ~ ndr1_0
      | ~ c3_1(X53)
      | ~ c1_1(X53)
      | c0_1(X53) ),
    inference(duplicate_literal_removal,[],[f163]) ).

fof(f163,plain,
    ! [X52,X53] :
      ( hskp16
      | ~ c3_1(X52)
      | ~ c1_1(X52)
      | ~ c0_1(X52)
      | ~ ndr1_0
      | ~ c3_1(X53)
      | ~ c1_1(X53)
      | c0_1(X53)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f459,plain,
    ( ~ spl0_14
    | spl0_48
    | spl0_16
    | spl0_3 ),
    inference(avatar_split_clause,[],[f165,f255,f311,f457,f304]) ).

fof(f165,plain,
    ! [X50] :
      ( hskp18
      | hskp4
      | ~ c3_1(X50)
      | ~ c1_1(X50)
      | c0_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f454,plain,
    ( spl0_46
    | ~ spl0_14
    | spl0_33 ),
    inference(avatar_split_clause,[],[f236,f386,f304,f447]) ).

fof(f236,plain,
    ! [X46,X47] :
      ( ~ c1_1(X46)
      | ~ c0_1(X46)
      | c2_1(X46)
      | ~ ndr1_0
      | ~ c3_1(X47)
      | ~ c2_1(X47)
      | c0_1(X47) ),
    inference(duplicate_literal_removal,[],[f167]) ).

fof(f167,plain,
    ! [X46,X47] :
      ( ~ c1_1(X46)
      | ~ c0_1(X46)
      | c2_1(X46)
      | ~ ndr1_0
      | ~ c3_1(X47)
      | ~ c2_1(X47)
      | c0_1(X47)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f453,plain,
    ( ~ spl0_14
    | spl0_46
    | spl0_47
    | spl0_32 ),
    inference(avatar_split_clause,[],[f168,f381,f450,f447,f304]) ).

fof(f168,plain,
    ! [X45] :
      ( hskp20
      | hskp13
      | ~ c3_1(X45)
      | ~ c2_1(X45)
      | c0_1(X45)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f444,plain,
    ( spl0_45
    | ~ spl0_14
    | spl0_33
    | spl0_29 ),
    inference(avatar_split_clause,[],[f238,f366,f386,f304,f442]) ).

fof(f238,plain,
    ! [X40,X41] :
      ( hskp12
      | ~ c1_1(X40)
      | ~ c0_1(X40)
      | c2_1(X40)
      | ~ ndr1_0
      | c3_1(X41)
      | c2_1(X41)
      | c1_1(X41) ),
    inference(duplicate_literal_removal,[],[f170]) ).

fof(f170,plain,
    ! [X40,X41] :
      ( hskp12
      | ~ c1_1(X40)
      | ~ c0_1(X40)
      | c2_1(X40)
      | ~ ndr1_0
      | c3_1(X41)
      | c2_1(X41)
      | c1_1(X41)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f440,plain,
    ( spl0_44
    | spl0_40
    | ~ spl0_14
    | spl0_38 ),
    inference(avatar_split_clause,[],[f239,f406,f304,f416,f435]) ).

fof(f239,plain,
    ! [X38,X39,X37] :
      ( ~ c3_1(X37)
      | ~ c2_1(X37)
      | c1_1(X37)
      | ~ ndr1_0
      | ~ c2_1(X38)
      | ~ c0_1(X38)
      | c1_1(X38)
      | ~ c0_1(X39)
      | c2_1(X39)
      | c1_1(X39) ),
    inference(duplicate_literal_removal,[],[f171]) ).

fof(f171,plain,
    ! [X38,X39,X37] :
      ( ~ c3_1(X37)
      | ~ c2_1(X37)
      | c1_1(X37)
      | ~ ndr1_0
      | ~ c2_1(X38)
      | ~ c0_1(X38)
      | c1_1(X38)
      | ~ ndr1_0
      | ~ c0_1(X39)
      | c2_1(X39)
      | c1_1(X39)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f439,plain,
    ( spl0_44
    | spl0_38
    | ~ spl0_14
    | spl0_31 ),
    inference(avatar_split_clause,[],[f240,f377,f304,f406,f435]) ).

fof(f240,plain,
    ! [X36,X34,X35] :
      ( ~ c3_1(X34)
      | ~ c1_1(X34)
      | c2_1(X34)
      | ~ ndr1_0
      | ~ c3_1(X35)
      | ~ c2_1(X35)
      | c1_1(X35)
      | ~ c0_1(X36)
      | c2_1(X36)
      | c1_1(X36) ),
    inference(duplicate_literal_removal,[],[f172]) ).

fof(f172,plain,
    ! [X36,X34,X35] :
      ( ~ c3_1(X34)
      | ~ c1_1(X34)
      | c2_1(X34)
      | ~ ndr1_0
      | ~ c3_1(X35)
      | ~ c2_1(X35)
      | c1_1(X35)
      | ~ ndr1_0
      | ~ c0_1(X36)
      | c2_1(X36)
      | c1_1(X36)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f438,plain,
    ( ~ spl0_14
    | spl0_44
    | spl0_6
    | spl0_10 ),
    inference(avatar_split_clause,[],[f173,f286,f269,f435,f304]) ).

fof(f173,plain,
    ! [X33] :
      ( hskp5
      | hskp30
      | ~ c0_1(X33)
      | c2_1(X33)
      | c1_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f433,plain,
    ( spl0_42
    | ~ spl0_14
    | spl0_35
    | spl0_2 ),
    inference(avatar_split_clause,[],[f241,f251,f395,f304,f425]) ).

fof(f241,plain,
    ! [X31,X30] :
      ( hskp21
      | ~ c1_1(X30)
      | c3_1(X30)
      | c2_1(X30)
      | ~ ndr1_0
      | ~ c3_1(X31)
      | c2_1(X31)
      | c1_1(X31) ),
    inference(duplicate_literal_removal,[],[f175]) ).

fof(f175,plain,
    ! [X31,X30] :
      ( hskp21
      | ~ c1_1(X30)
      | c3_1(X30)
      | c2_1(X30)
      | ~ ndr1_0
      | ~ c3_1(X31)
      | c2_1(X31)
      | c1_1(X31)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f432,plain,
    ( ~ spl0_14
    | spl0_42
    | spl0_13
    | spl0_26 ),
    inference(avatar_split_clause,[],[f176,f353,f299,f425,f304]) ).

fof(f176,plain,
    ! [X29] :
      ( hskp10
      | hskp1
      | ~ c3_1(X29)
      | c2_1(X29)
      | c1_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f431,plain,
    ( ~ spl0_14
    | spl0_42
    | spl0_34
    | spl0_43 ),
    inference(avatar_split_clause,[],[f177,f428,f390,f425,f304]) ).

fof(f177,plain,
    ! [X28] :
      ( hskp2
      | hskp22
      | ~ c3_1(X28)
      | c2_1(X28)
      | c1_1(X28)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f423,plain,
    ( ~ spl0_14
    | spl0_41
    | spl0_9
    | spl0_8 ),
    inference(avatar_split_clause,[],[f178,f277,f282,f420,f304]) ).

fof(f178,plain,
    ! [X27] :
      ( hskp6
      | hskp23
      | ~ c2_1(X27)
      | c3_1(X27)
      | c1_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f422,plain,
    ( ~ spl0_14
    | spl0_41
    | spl0_23
    | spl0_22 ),
    inference(avatar_split_clause,[],[f179,f335,f340,f420,f304]) ).

fof(f179,plain,
    ! [X26] :
      ( hskp17
      | hskp3
      | ~ c2_1(X26)
      | c3_1(X26)
      | c1_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f418,plain,
    ( ~ spl0_14
    | spl0_40
    | spl0_26
    | spl0_17 ),
    inference(avatar_split_clause,[],[f180,f315,f353,f416,f304]) ).

fof(f180,plain,
    ! [X25] :
      ( hskp11
      | hskp10
      | ~ c2_1(X25)
      | ~ c0_1(X25)
      | c1_1(X25)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f414,plain,
    ( ~ spl0_14
    | spl0_39
    | spl0_6
    | spl0_5 ),
    inference(avatar_split_clause,[],[f181,f264,f269,f411,f304]) ).

fof(f181,plain,
    ! [X24] :
      ( hskp15
      | hskp30
      | ~ c3_1(X24)
      | ~ c0_1(X24)
      | c1_1(X24)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f413,plain,
    ( ~ spl0_14
    | spl0_39
    | spl0_8
    | spl0_3 ),
    inference(avatar_split_clause,[],[f182,f255,f277,f411,f304]) ).

fof(f182,plain,
    ! [X23] :
      ( hskp18
      | hskp6
      | ~ c3_1(X23)
      | ~ c0_1(X23)
      | c1_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f409,plain,
    ( spl0_38
    | ~ spl0_14
    | spl0_15
    | spl0_7 ),
    inference(avatar_split_clause,[],[f242,f273,f308,f304,f406]) ).

fof(f242,plain,
    ! [X21,X22] :
      ( hskp27
      | ~ c3_1(X21)
      | ~ c2_1(X21)
      | ~ c1_1(X21)
      | ~ ndr1_0
      | ~ c3_1(X22)
      | ~ c2_1(X22)
      | c1_1(X22) ),
    inference(duplicate_literal_removal,[],[f183]) ).

fof(f183,plain,
    ! [X21,X22] :
      ( hskp27
      | ~ c3_1(X21)
      | ~ c2_1(X21)
      | ~ c1_1(X21)
      | ~ ndr1_0
      | ~ c3_1(X22)
      | ~ c2_1(X22)
      | c1_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f408,plain,
    ( ~ spl0_14
    | spl0_38
    | spl0_26 ),
    inference(avatar_split_clause,[],[f184,f353,f406,f304]) ).

fof(f184,plain,
    ! [X20] :
      ( hskp10
      | ~ c3_1(X20)
      | ~ c2_1(X20)
      | c1_1(X20)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f400,plain,
    ( spl0_35
    | spl0_31
    | ~ spl0_14
    | spl0_36 ),
    inference(avatar_split_clause,[],[f243,f398,f304,f377,f395]) ).

fof(f243,plain,
    ! [X18,X16,X17] :
      ( ~ c1_1(X16)
      | ~ c0_1(X16)
      | c3_1(X16)
      | ~ ndr1_0
      | ~ c3_1(X17)
      | ~ c1_1(X17)
      | c2_1(X17)
      | ~ c1_1(X18)
      | c3_1(X18)
      | c2_1(X18) ),
    inference(duplicate_literal_removal,[],[f186]) ).

fof(f186,plain,
    ! [X18,X16,X17] :
      ( ~ c1_1(X16)
      | ~ c0_1(X16)
      | c3_1(X16)
      | ~ ndr1_0
      | ~ c3_1(X17)
      | ~ c1_1(X17)
      | c2_1(X17)
      | ~ ndr1_0
      | ~ c1_1(X18)
      | c3_1(X18)
      | c2_1(X18)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f384,plain,
    ( spl0_31
    | ~ spl0_14
    | spl0_18
    | spl0_32 ),
    inference(avatar_split_clause,[],[f244,f381,f320,f304,f377]) ).

fof(f244,plain,
    ! [X12,X13] :
      ( hskp20
      | ~ c3_1(X12)
      | ~ c1_1(X12)
      | ~ c0_1(X12)
      | ~ ndr1_0
      | ~ c3_1(X13)
      | ~ c1_1(X13)
      | c2_1(X13) ),
    inference(duplicate_literal_removal,[],[f189]) ).

fof(f189,plain,
    ! [X12,X13] :
      ( hskp20
      | ~ c3_1(X12)
      | ~ c1_1(X12)
      | ~ c0_1(X12)
      | ~ ndr1_0
      | ~ c3_1(X13)
      | ~ c1_1(X13)
      | c2_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f379,plain,
    ( ~ spl0_14
    | spl0_31
    | spl0_17
    | spl0_29 ),
    inference(avatar_split_clause,[],[f190,f366,f315,f377,f304]) ).

fof(f190,plain,
    ! [X11] :
      ( hskp12
      | hskp11
      | ~ c3_1(X11)
      | ~ c1_1(X11)
      | c2_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f375,plain,
    ( spl0_27
    | ~ spl0_14
    | spl0_18
    | spl0_26 ),
    inference(avatar_split_clause,[],[f245,f353,f320,f304,f358]) ).

fof(f245,plain,
    ! [X10,X9] :
      ( hskp10
      | ~ c3_1(X9)
      | ~ c1_1(X9)
      | ~ c0_1(X9)
      | ~ ndr1_0
      | ~ c2_1(X10)
      | ~ c0_1(X10)
      | c3_1(X10) ),
    inference(duplicate_literal_removal,[],[f191]) ).

fof(f191,plain,
    ! [X10,X9] :
      ( hskp10
      | ~ c3_1(X9)
      | ~ c1_1(X9)
      | ~ c0_1(X9)
      | ~ ndr1_0
      | ~ c2_1(X10)
      | ~ c0_1(X10)
      | c3_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f374,plain,
    ( ~ spl0_14
    | spl0_27
    | spl0_16
    | spl0_22 ),
    inference(avatar_split_clause,[],[f192,f335,f311,f358,f304]) ).

fof(f192,plain,
    ! [X8] :
      ( hskp17
      | hskp4
      | ~ c2_1(X8)
      | ~ c0_1(X8)
      | c3_1(X8)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f373,plain,
    ( ~ spl0_14
    | spl0_27
    | spl0_29
    | spl0_30 ),
    inference(avatar_split_clause,[],[f193,f370,f366,f358,f304]) ).

fof(f193,plain,
    ! [X7] :
      ( hskp0
      | hskp12
      | ~ c2_1(X7)
      | ~ c0_1(X7)
      | c3_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f356,plain,
    ( ~ spl0_14
    | spl0_24
    | spl0_25
    | spl0_26 ),
    inference(avatar_split_clause,[],[f195,f353,f349,f346,f304]) ).

fof(f195,plain,
    ! [X5] :
      ( hskp10
      | hskp14
      | ~ c2_1(X5)
      | ~ c1_1(X5)
      | c3_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f344,plain,
    ( ~ spl0_14
    | spl0_21
    | spl0_13
    | spl0_16 ),
    inference(avatar_split_clause,[],[f196,f311,f299,f332,f304]) ).

fof(f196,plain,
    ! [X4] :
      ( hskp4
      | hskp1
      | ~ c2_1(X4)
      | ~ c1_1(X4)
      | ~ c0_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f343,plain,
    ( ~ spl0_14
    | spl0_21
    | spl0_23
    | spl0_11 ),
    inference(avatar_split_clause,[],[f197,f290,f340,f332,f304]) ).

fof(f197,plain,
    ! [X3] :
      ( hskp8
      | hskp3
      | ~ c2_1(X3)
      | ~ c1_1(X3)
      | ~ c0_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f338,plain,
    ( ~ spl0_14
    | spl0_21
    | spl0_22 ),
    inference(avatar_split_clause,[],[f198,f335,f332,f304]) ).

fof(f198,plain,
    ! [X2] :
      ( hskp17
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f302,plain,
    ( spl0_12
    | spl0_13
    | spl0_2 ),
    inference(avatar_split_clause,[],[f201,f251,f299,f295]) ).

fof(f201,plain,
    ( hskp21
    | hskp1
    | hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f293,plain,
    ( spl0_9
    | spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f202,f290,f286,f282]) ).

fof(f202,plain,
    ( hskp8
    | hskp5
    | hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f280,plain,
    ( spl0_6
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f203,f277,f273,f269]) ).

fof(f203,plain,
    ( hskp6
    | hskp27
    | hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f267,plain,
    ( spl0_1
    | spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f204,f264,f260,f247]) ).

fof(f204,plain,
    ( hskp15
    | hskp19
    | hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f258,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f205,f255,f251,f247]) ).

fof(f205,plain,
    ( hskp18
    | hskp21
    | hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : SYN484+1 : TPTP v8.1.2. Released v2.1.0.
% 0.05/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33  % Computer : n022.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Fri May  3 17:20:52 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  % (29273)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35  % (29274)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.35  % (29278)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.35  % (29277)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.35  % (29279)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.35  % (29280)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.35  % (29275)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.35  % (29276)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.11/0.35  Detected minimum model sizes of [1]
% 0.11/0.35  Detected maximum model sizes of [31]
% 0.11/0.35  TRYING [1]
% 0.11/0.35  TRYING [2]
% 0.11/0.36  Detected minimum model sizes of [1]
% 0.11/0.36  Detected maximum model sizes of [31]
% 0.11/0.36  TRYING [1]
% 0.11/0.36  TRYING [2]
% 0.11/0.36  TRYING [3]
% 0.11/0.36  Detected minimum model sizes of [1]
% 0.11/0.36  Detected maximum model sizes of [31]
% 0.11/0.36  TRYING [1]
% 0.11/0.36  TRYING [3]
% 0.11/0.36  TRYING [2]
% 0.11/0.36  TRYING [3]
% 0.11/0.36  TRYING [4]
% 0.11/0.36  Detected minimum model sizes of [1]
% 0.11/0.36  Detected maximum model sizes of [31]
% 0.11/0.36  TRYING [1]
% 0.11/0.36  TRYING [2]
% 0.11/0.36  TRYING [4]
% 0.11/0.36  TRYING [3]
% 0.11/0.37  TRYING [4]
% 0.11/0.37  TRYING [4]
% 0.11/0.37  TRYING [5]
% 0.16/0.38  TRYING [5]
% 0.16/0.38  TRYING [5]
% 0.16/0.39  TRYING [5]
% 0.16/0.40  % (29279)First to succeed.
% 0.16/0.41  % (29276)Also succeeded, but the first one will report.
% 0.16/0.41  % (29279)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29273"
% 0.16/0.41  % (29279)Refutation found. Thanks to Tanya!
% 0.16/0.41  % SZS status Theorem for theBenchmark
% 0.16/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.42  % (29279)------------------------------
% 0.16/0.42  % (29279)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.42  % (29279)Termination reason: Refutation
% 0.16/0.42  
% 0.16/0.42  % (29279)Memory used [KB]: 2341
% 0.16/0.42  % (29279)Time elapsed: 0.063 s
% 0.16/0.42  % (29279)Instructions burned: 131 (million)
% 0.16/0.42  % (29273)Success in time 0.084 s
%------------------------------------------------------------------------------