TSTP Solution File: SYN485+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN485+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:38:26 EDT 2022

% Result   : Theorem 2.13s 0.66s
% Output   : Refutation 2.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  122
% Syntax   : Number of formulae    :  516 (   1 unt;   0 def)
%            Number of atoms       : 5987 (   0 equ)
%            Maximal formula atoms :  732 (  11 avg)
%            Number of connectives : 8044 (2573   ~;3704   |;1170   &)
%                                         ( 121 <=>; 476  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  115 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  157 ( 156 usr; 153 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   :  818 ( 818   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2117,plain,
    $false,
    inference(avatar_sat_refutation,[],[f211,f239,f257,f266,f284,f293,f303,f311,f340,f353,f362,f366,f375,f383,f390,f409,f411,f438,f447,f471,f476,f481,f495,f509,f514,f519,f523,f528,f534,f535,f540,f545,f550,f566,f589,f596,f611,f616,f621,f627,f636,f647,f662,f667,f687,f689,f690,f691,f703,f707,f717,f722,f723,f725,f729,f739,f749,f755,f757,f763,f769,f779,f787,f792,f793,f798,f804,f809,f810,f815,f817,f822,f827,f832,f833,f846,f847,f852,f857,f858,f871,f872,f879,f884,f886,f891,f893,f904,f910,f917,f918,f919,f921,f926,f932,f934,f935,f936,f948,f955,f956,f961,f964,f969,f974,f975,f978,f1006,f1012,f1017,f1023,f1034,f1035,f1036,f1052,f1083,f1086,f1099,f1109,f1117,f1140,f1154,f1175,f1177,f1245,f1249,f1251,f1272,f1285,f1286,f1288,f1301,f1302,f1307,f1321,f1341,f1353,f1370,f1375,f1380,f1386,f1406,f1407,f1433,f1537,f1540,f1541,f1542,f1543,f1562,f1567,f1583,f1585,f1587,f1594,f1630,f1706,f1762,f1888,f2078,f2079,f2115]) ).

fof(f2115,plain,
    ( ~ spl0_76
    | spl0_160
    | ~ spl0_86
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2103,f854,f584,f1070,f542]) ).

fof(f542,plain,
    ( spl0_76
  <=> c0_1(a2079) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1070,plain,
    ( spl0_160
  <=> c2_1(a2079) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f584,plain,
    ( spl0_86
  <=> ! [X110] :
        ( ~ c0_1(X110)
        | ~ c1_1(X110)
        | c2_1(X110) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f854,plain,
    ( spl0_135
  <=> c1_1(a2079) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f2103,plain,
    ( c2_1(a2079)
    | ~ c0_1(a2079)
    | ~ spl0_86
    | ~ spl0_135 ),
    inference(resolution,[],[f585,f856]) ).

fof(f856,plain,
    ( c1_1(a2079)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f585,plain,
    ( ! [X110] :
        ( ~ c1_1(X110)
        | ~ c0_1(X110)
        | c2_1(X110) )
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f584]) ).

fof(f2079,plain,
    ( ~ spl0_148
    | ~ spl0_171
    | ~ spl0_33
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f1938,f368,f346,f1242,f945]) ).

fof(f945,plain,
    ( spl0_148
  <=> c2_1(a2160) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1242,plain,
    ( spl0_171
  <=> c0_1(a2160) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f346,plain,
    ( spl0_33
  <=> ! [X100] :
        ( ~ c1_1(X100)
        | ~ c0_1(X100)
        | ~ c2_1(X100) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f368,plain,
    ( spl0_38
  <=> c1_1(a2160) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1938,plain,
    ( ~ c0_1(a2160)
    | ~ c2_1(a2160)
    | ~ spl0_33
    | ~ spl0_38 ),
    inference(resolution,[],[f347,f370]) ).

fof(f370,plain,
    ( c1_1(a2160)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f347,plain,
    ( ! [X100] :
        ( ~ c1_1(X100)
        | ~ c0_1(X100)
        | ~ c2_1(X100) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f2078,plain,
    ( spl0_106
    | ~ spl0_49
    | spl0_108
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f2066,f737,f700,f418,f684]) ).

fof(f684,plain,
    ( spl0_106
  <=> c3_1(a2072) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f418,plain,
    ( spl0_49
  <=> ! [X94] :
        ( c3_1(X94)
        | c0_1(X94)
        | ~ c2_1(X94) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f700,plain,
    ( spl0_108
  <=> c0_1(a2072) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f737,plain,
    ( spl0_115
  <=> ! [X64] :
        ( c0_1(X64)
        | c3_1(X64)
        | c2_1(X64) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f2066,plain,
    ( c3_1(a2072)
    | ~ spl0_49
    | spl0_108
    | ~ spl0_115 ),
    inference(resolution,[],[f2062,f702]) ).

fof(f702,plain,
    ( ~ c0_1(a2072)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f2062,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c3_1(X2) )
    | ~ spl0_49
    | ~ spl0_115 ),
    inference(duplicate_literal_removal,[],[f2045]) ).

fof(f2045,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | c0_1(X2)
        | c3_1(X2) )
    | ~ spl0_49
    | ~ spl0_115 ),
    inference(resolution,[],[f738,f419]) ).

fof(f419,plain,
    ( ! [X94] :
        ( ~ c2_1(X94)
        | c0_1(X94)
        | c3_1(X94) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f738,plain,
    ( ! [X64] :
        ( c2_1(X64)
        | c0_1(X64)
        | c3_1(X64) )
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f1888,plain,
    ( ~ spl0_122
    | spl0_34
    | ~ spl0_72
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1859,f1269,f521,f350,f776]) ).

fof(f776,plain,
    ( spl0_122
  <=> c3_1(a2068) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f350,plain,
    ( spl0_34
  <=> c2_1(a2068) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f521,plain,
    ( spl0_72
  <=> ! [X80] :
        ( ~ c3_1(X80)
        | ~ c1_1(X80)
        | c2_1(X80) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1269,plain,
    ( spl0_172
  <=> c1_1(a2068) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f1859,plain,
    ( c2_1(a2068)
    | ~ c3_1(a2068)
    | ~ spl0_72
    | ~ spl0_172 ),
    inference(resolution,[],[f522,f1271]) ).

fof(f1271,plain,
    ( c1_1(a2068)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1269]) ).

fof(f522,plain,
    ( ! [X80] :
        ( ~ c1_1(X80)
        | ~ c3_1(X80)
        | c2_1(X80) )
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f1762,plain,
    ( ~ spl0_70
    | spl0_173
    | ~ spl0_42
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1641,f608,f385,f1304,f511]) ).

fof(f511,plain,
    ( spl0_70
  <=> c3_1(a2073) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1304,plain,
    ( spl0_173
  <=> c2_1(a2073) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f385,plain,
    ( spl0_42
  <=> ! [X73] :
        ( ~ c0_1(X73)
        | ~ c3_1(X73)
        | c2_1(X73) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f608,plain,
    ( spl0_91
  <=> c0_1(a2073) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1641,plain,
    ( c2_1(a2073)
    | ~ c3_1(a2073)
    | ~ spl0_42
    | ~ spl0_91 ),
    inference(resolution,[],[f386,f610]) ).

fof(f610,plain,
    ( c0_1(a2073)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f608]) ).

fof(f386,plain,
    ( ! [X73] :
        ( ~ c0_1(X73)
        | ~ c3_1(X73)
        | c2_1(X73) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f1706,plain,
    ( ~ spl0_125
    | spl0_20
    | ~ spl0_54
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1694,f577,f435,f290,f795]) ).

fof(f795,plain,
    ( spl0_125
  <=> c2_1(a2082) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f290,plain,
    ( spl0_20
  <=> c0_1(a2082) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f435,plain,
    ( spl0_54
  <=> c1_1(a2082) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f577,plain,
    ( spl0_84
  <=> ! [X107] :
        ( ~ c2_1(X107)
        | ~ c1_1(X107)
        | c0_1(X107) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1694,plain,
    ( c0_1(a2082)
    | ~ c2_1(a2082)
    | ~ spl0_54
    | ~ spl0_84 ),
    inference(resolution,[],[f578,f437]) ).

fof(f437,plain,
    ( c1_1(a2082)
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f578,plain,
    ( ! [X107] :
        ( ~ c1_1(X107)
        | c0_1(X107)
        | ~ c2_1(X107) )
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f1630,plain,
    ( ~ spl0_175
    | spl0_20
    | ~ spl0_28
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1619,f795,f326,f290,f1350]) ).

fof(f1350,plain,
    ( spl0_175
  <=> c3_1(a2082) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f326,plain,
    ( spl0_28
  <=> ! [X60] :
        ( c0_1(X60)
        | ~ c3_1(X60)
        | ~ c2_1(X60) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1619,plain,
    ( c0_1(a2082)
    | ~ c3_1(a2082)
    | ~ spl0_28
    | ~ spl0_125 ),
    inference(resolution,[],[f327,f797]) ).

fof(f797,plain,
    ( c2_1(a2082)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f327,plain,
    ( ! [X60] :
        ( ~ c2_1(X60)
        | c0_1(X60)
        | ~ c3_1(X60) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f1594,plain,
    ( spl0_60
    | spl0_93
    | ~ spl0_94
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1509,f705,f624,f618,f464]) ).

fof(f464,plain,
    ( spl0_60
  <=> c3_1(a2087) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f618,plain,
    ( spl0_93
  <=> c1_1(a2087) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f624,plain,
    ( spl0_94
  <=> c2_1(a2087) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f705,plain,
    ( spl0_109
  <=> ! [X29] :
        ( ~ c2_1(X29)
        | c1_1(X29)
        | c3_1(X29) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1509,plain,
    ( c1_1(a2087)
    | c3_1(a2087)
    | ~ spl0_94
    | ~ spl0_109 ),
    inference(resolution,[],[f706,f626]) ).

fof(f626,plain,
    ( c2_1(a2087)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f706,plain,
    ( ! [X29] :
        ( ~ c2_1(X29)
        | c3_1(X29)
        | c1_1(X29) )
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f1587,plain,
    ( ~ spl0_146
    | spl0_56
    | ~ spl0_28
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f1577,f355,f326,f444,f929]) ).

fof(f929,plain,
    ( spl0_146
  <=> c3_1(a2140) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f444,plain,
    ( spl0_56
  <=> c0_1(a2140) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f355,plain,
    ( spl0_35
  <=> c2_1(a2140) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1577,plain,
    ( c0_1(a2140)
    | ~ c3_1(a2140)
    | ~ spl0_28
    | ~ spl0_35 ),
    inference(resolution,[],[f327,f357]) ).

fof(f357,plain,
    ( c2_1(a2140)
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f1585,plain,
    ( spl0_162
    | ~ spl0_152
    | ~ spl0_12
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f1580,f326,f254,f971,f1114]) ).

fof(f1114,plain,
    ( spl0_162
  <=> c0_1(a2077) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f971,plain,
    ( spl0_152
  <=> c3_1(a2077) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f254,plain,
    ( spl0_12
  <=> c2_1(a2077) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1580,plain,
    ( ~ c3_1(a2077)
    | c0_1(a2077)
    | ~ spl0_12
    | ~ spl0_28 ),
    inference(resolution,[],[f327,f256]) ).

fof(f256,plain,
    ( c2_1(a2077)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f1583,plain,
    ( spl0_77
    | ~ spl0_92
    | ~ spl0_28
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1569,f1049,f326,f613,f547]) ).

fof(f547,plain,
    ( spl0_77
  <=> c0_1(a2076) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f613,plain,
    ( spl0_92
  <=> c3_1(a2076) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1049,plain,
    ( spl0_159
  <=> c2_1(a2076) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f1569,plain,
    ( ~ c3_1(a2076)
    | c0_1(a2076)
    | ~ spl0_28
    | ~ spl0_159 ),
    inference(resolution,[],[f327,f1051]) ).

fof(f1051,plain,
    ( c2_1(a2076)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1049]) ).

fof(f1567,plain,
    ( ~ spl0_81
    | ~ spl0_88
    | ~ spl0_33
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1548,f1372,f346,f593,f563]) ).

fof(f563,plain,
    ( spl0_81
  <=> c0_1(a2071) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f593,plain,
    ( spl0_88
  <=> c2_1(a2071) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1372,plain,
    ( spl0_176
  <=> c1_1(a2071) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f1548,plain,
    ( ~ c2_1(a2071)
    | ~ c0_1(a2071)
    | ~ spl0_33
    | ~ spl0_176 ),
    inference(resolution,[],[f347,f1374]) ).

fof(f1374,plain,
    ( c1_1(a2071)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f1372]) ).

fof(f1562,plain,
    ( ~ spl0_76
    | ~ spl0_160
    | ~ spl0_33
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1551,f854,f346,f1070,f542]) ).

fof(f1551,plain,
    ( ~ c2_1(a2079)
    | ~ c0_1(a2079)
    | ~ spl0_33
    | ~ spl0_135 ),
    inference(resolution,[],[f347,f856]) ).

fof(f1543,plain,
    ( ~ spl0_91
    | ~ spl0_70
    | ~ spl0_113
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1534,f1304,f727,f511,f608]) ).

fof(f727,plain,
    ( spl0_113
  <=> ! [X113] :
        ( ~ c2_1(X113)
        | ~ c0_1(X113)
        | ~ c3_1(X113) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1534,plain,
    ( ~ c3_1(a2073)
    | ~ c0_1(a2073)
    | ~ spl0_113
    | ~ spl0_173 ),
    inference(resolution,[],[f728,f1306]) ).

fof(f1306,plain,
    ( c2_1(a2073)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1304]) ).

fof(f728,plain,
    ( ! [X113] :
        ( ~ c2_1(X113)
        | ~ c3_1(X113)
        | ~ c0_1(X113) )
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f1542,plain,
    ( ~ spl0_152
    | ~ spl0_162
    | ~ spl0_12
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1536,f727,f254,f1114,f971]) ).

fof(f1536,plain,
    ( ~ c0_1(a2077)
    | ~ c3_1(a2077)
    | ~ spl0_12
    | ~ spl0_113 ),
    inference(resolution,[],[f728,f256]) ).

fof(f1541,plain,
    ( ~ spl0_7
    | ~ spl0_142
    | ~ spl0_113
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1533,f923,f727,f901,f232]) ).

fof(f232,plain,
    ( spl0_7
  <=> c0_1(a2069) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f901,plain,
    ( spl0_142
  <=> c3_1(a2069) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f923,plain,
    ( spl0_145
  <=> c2_1(a2069) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1533,plain,
    ( ~ c3_1(a2069)
    | ~ c0_1(a2069)
    | ~ spl0_113
    | ~ spl0_145 ),
    inference(resolution,[],[f728,f925]) ).

fof(f925,plain,
    ( c2_1(a2069)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f1540,plain,
    ( ~ spl0_102
    | ~ spl0_177
    | ~ spl0_113
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1529,f801,f727,f1377,f664]) ).

fof(f664,plain,
    ( spl0_102
  <=> c0_1(a2110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1377,plain,
    ( spl0_177
  <=> c3_1(a2110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f801,plain,
    ( spl0_126
  <=> c2_1(a2110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1529,plain,
    ( ~ c3_1(a2110)
    | ~ c0_1(a2110)
    | ~ spl0_113
    | ~ spl0_126 ),
    inference(resolution,[],[f728,f803]) ).

fof(f803,plain,
    ( c2_1(a2110)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f1537,plain,
    ( ~ spl0_124
    | ~ spl0_166
    | ~ spl0_2
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1535,f727,f208,f1172,f789]) ).

fof(f789,plain,
    ( spl0_124
  <=> c0_1(a2075) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1172,plain,
    ( spl0_166
  <=> c3_1(a2075) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f208,plain,
    ( spl0_2
  <=> c2_1(a2075) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1535,plain,
    ( ~ c3_1(a2075)
    | ~ c0_1(a2075)
    | ~ spl0_2
    | ~ spl0_113 ),
    inference(resolution,[],[f728,f210]) ).

fof(f210,plain,
    ( c2_1(a2075)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f1433,plain,
    ( ~ spl0_177
    | spl0_120
    | ~ spl0_96
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1427,f664,f634,f766,f1377]) ).

fof(f766,plain,
    ( spl0_120
  <=> c1_1(a2110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f634,plain,
    ( spl0_96
  <=> ! [X46] :
        ( ~ c3_1(X46)
        | ~ c0_1(X46)
        | c1_1(X46) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1427,plain,
    ( c1_1(a2110)
    | ~ c3_1(a2110)
    | ~ spl0_96
    | ~ spl0_102 ),
    inference(resolution,[],[f635,f666]) ).

fof(f666,plain,
    ( c0_1(a2110)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f635,plain,
    ( ! [X46] :
        ( ~ c0_1(X46)
        | ~ c3_1(X46)
        | c1_1(X46) )
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f634]) ).

fof(f1407,plain,
    ( spl0_13
    | spl0_74
    | ~ spl0_43
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1399,f659,f388,f531,f259]) ).

fof(f259,plain,
    ( spl0_13
  <=> c2_1(a2095) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f531,plain,
    ( spl0_74
  <=> c0_1(a2095) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f388,plain,
    ( spl0_43
  <=> ! [X74] :
        ( ~ c1_1(X74)
        | c0_1(X74)
        | c2_1(X74) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f659,plain,
    ( spl0_101
  <=> c1_1(a2095) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1399,plain,
    ( c0_1(a2095)
    | c2_1(a2095)
    | ~ spl0_43
    | ~ spl0_101 ),
    inference(resolution,[],[f389,f661]) ).

fof(f661,plain,
    ( c1_1(a2095)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f659]) ).

fof(f389,plain,
    ( ! [X74] :
        ( ~ c1_1(X74)
        | c2_1(X74)
        | c0_1(X74) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f1406,plain,
    ( spl0_134
    | spl0_156
    | ~ spl0_43
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1392,f506,f388,f1020,f849]) ).

fof(f849,plain,
    ( spl0_134
  <=> c2_1(a2074) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1020,plain,
    ( spl0_156
  <=> c0_1(a2074) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f506,plain,
    ( spl0_69
  <=> c1_1(a2074) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1392,plain,
    ( c0_1(a2074)
    | c2_1(a2074)
    | ~ spl0_43
    | ~ spl0_69 ),
    inference(resolution,[],[f389,f508]) ).

fof(f508,plain,
    ( c1_1(a2074)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f1386,plain,
    ( spl0_60
    | spl0_93
    | ~ spl0_37
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1384,f1009,f364,f618,f464]) ).

fof(f364,plain,
    ( spl0_37
  <=> ! [X79] :
        ( c3_1(X79)
        | ~ c0_1(X79)
        | c1_1(X79) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1009,plain,
    ( spl0_155
  <=> c0_1(a2087) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1384,plain,
    ( c1_1(a2087)
    | c3_1(a2087)
    | ~ spl0_37
    | ~ spl0_155 ),
    inference(resolution,[],[f1011,f365]) ).

fof(f365,plain,
    ( ! [X79] :
        ( ~ c0_1(X79)
        | c3_1(X79)
        | c1_1(X79) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f1011,plain,
    ( c0_1(a2087)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1009]) ).

fof(f1380,plain,
    ( spl0_177
    | spl0_120
    | ~ spl0_37
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1363,f664,f364,f766,f1377]) ).

fof(f1363,plain,
    ( c1_1(a2110)
    | c3_1(a2110)
    | ~ spl0_37
    | ~ spl0_102 ),
    inference(resolution,[],[f365,f666]) ).

fof(f1375,plain,
    ( spl0_176
    | spl0_138
    | ~ spl0_37
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1358,f563,f364,f876,f1372]) ).

fof(f876,plain,
    ( spl0_138
  <=> c3_1(a2071) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1358,plain,
    ( c3_1(a2071)
    | c1_1(a2071)
    | ~ spl0_37
    | ~ spl0_81 ),
    inference(resolution,[],[f365,f565]) ).

fof(f565,plain,
    ( c0_1(a2071)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f563]) ).

fof(f1370,plain,
    ( spl0_62
    | spl0_111
    | ~ spl0_37
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1362,f402,f364,f714,f473]) ).

fof(f473,plain,
    ( spl0_62
  <=> c3_1(a2093) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f714,plain,
    ( spl0_111
  <=> c1_1(a2093) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f402,plain,
    ( spl0_46
  <=> c0_1(a2093) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1362,plain,
    ( c1_1(a2093)
    | c3_1(a2093)
    | ~ spl0_37
    | ~ spl0_46 ),
    inference(resolution,[],[f365,f404]) ).

fof(f404,plain,
    ( c0_1(a2093)
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f1353,plain,
    ( spl0_20
    | spl0_175
    | ~ spl0_49
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1348,f795,f418,f1350,f290]) ).

fof(f1348,plain,
    ( c3_1(a2082)
    | c0_1(a2082)
    | ~ spl0_49
    | ~ spl0_125 ),
    inference(resolution,[],[f797,f419]) ).

fof(f1341,plain,
    ( ~ spl0_18
    | spl0_128
    | ~ spl0_96
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1335,f752,f634,f812,f281]) ).

fof(f281,plain,
    ( spl0_18
  <=> c3_1(a2149) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f812,plain,
    ( spl0_128
  <=> c1_1(a2149) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f752,plain,
    ( spl0_118
  <=> c0_1(a2149) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1335,plain,
    ( c1_1(a2149)
    | ~ c3_1(a2149)
    | ~ spl0_96
    | ~ spl0_118 ),
    inference(resolution,[],[f635,f754]) ).

fof(f754,plain,
    ( c0_1(a2149)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f752]) ).

fof(f1321,plain,
    ( spl0_93
    | spl0_155
    | ~ spl0_87
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1312,f624,f587,f1009,f618]) ).

fof(f587,plain,
    ( spl0_87
  <=> ! [X111] :
        ( c0_1(X111)
        | c1_1(X111)
        | ~ c2_1(X111) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1312,plain,
    ( c0_1(a2087)
    | c1_1(a2087)
    | ~ spl0_87
    | ~ spl0_94 ),
    inference(resolution,[],[f588,f626]) ).

fof(f588,plain,
    ( ! [X111] :
        ( ~ c2_1(X111)
        | c1_1(X111)
        | c0_1(X111) )
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f1307,plain,
    ( ~ spl0_91
    | spl0_173
    | ~ spl0_63
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1298,f584,f478,f1304,f608]) ).

fof(f478,plain,
    ( spl0_63
  <=> c1_1(a2073) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1298,plain,
    ( c2_1(a2073)
    | ~ c0_1(a2073)
    | ~ spl0_63
    | ~ spl0_86 ),
    inference(resolution,[],[f585,f480]) ).

fof(f480,plain,
    ( c1_1(a2073)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f1302,plain,
    ( ~ spl0_73
    | spl0_129
    | ~ spl0_86
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1292,f1080,f584,f819,f525]) ).

fof(f525,plain,
    ( spl0_73
  <=> c0_1(a2070) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f819,plain,
    ( spl0_129
  <=> c2_1(a2070) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1080,plain,
    ( spl0_161
  <=> c1_1(a2070) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f1292,plain,
    ( c2_1(a2070)
    | ~ c0_1(a2070)
    | ~ spl0_86
    | ~ spl0_161 ),
    inference(resolution,[],[f585,f1082]) ).

fof(f1082,plain,
    ( c1_1(a2070)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1080]) ).

fof(f1301,plain,
    ( ~ spl0_156
    | spl0_134
    | ~ spl0_69
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1293,f584,f506,f849,f1020]) ).

fof(f1293,plain,
    ( c2_1(a2074)
    | ~ c0_1(a2074)
    | ~ spl0_69
    | ~ spl0_86 ),
    inference(resolution,[],[f585,f508]) ).

fof(f1288,plain,
    ( ~ spl0_166
    | ~ spl0_124
    | ~ spl0_79
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1282,f914,f555,f789,f1172]) ).

fof(f555,plain,
    ( spl0_79
  <=> ! [X77] :
        ( ~ c3_1(X77)
        | ~ c1_1(X77)
        | ~ c0_1(X77) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f914,plain,
    ( spl0_144
  <=> c1_1(a2075) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1282,plain,
    ( ~ c0_1(a2075)
    | ~ c3_1(a2075)
    | ~ spl0_79
    | ~ spl0_144 ),
    inference(resolution,[],[f556,f916]) ).

fof(f916,plain,
    ( c1_1(a2075)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f914]) ).

fof(f556,plain,
    ( ! [X77] :
        ( ~ c1_1(X77)
        | ~ c0_1(X77)
        | ~ c3_1(X77) )
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f1286,plain,
    ( ~ spl0_162
    | ~ spl0_152
    | ~ spl0_22
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1283,f555,f300,f971,f1114]) ).

fof(f300,plain,
    ( spl0_22
  <=> c1_1(a2077) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f1283,plain,
    ( ~ c3_1(a2077)
    | ~ c0_1(a2077)
    | ~ spl0_22
    | ~ spl0_79 ),
    inference(resolution,[],[f556,f302]) ).

fof(f302,plain,
    ( c1_1(a2077)
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f300]) ).

fof(f1285,plain,
    ( ~ spl0_91
    | ~ spl0_70
    | ~ spl0_63
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1281,f555,f478,f511,f608]) ).

fof(f1281,plain,
    ( ~ c3_1(a2073)
    | ~ c0_1(a2073)
    | ~ spl0_63
    | ~ spl0_79 ),
    inference(resolution,[],[f556,f480]) ).

fof(f1272,plain,
    ( spl0_34
    | spl0_172
    | ~ spl0_67
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1255,f776,f497,f1269,f350]) ).

fof(f497,plain,
    ( spl0_67
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1255,plain,
    ( c1_1(a2068)
    | c2_1(a2068)
    | ~ spl0_67
    | ~ spl0_122 ),
    inference(resolution,[],[f498,f778]) ).

fof(f778,plain,
    ( c3_1(a2068)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f498,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f1251,plain,
    ( spl0_65
    | spl0_133
    | ~ spl0_55
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1250,f966,f440,f843,f488]) ).

fof(f488,plain,
    ( spl0_65
  <=> c2_1(a2099) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f843,plain,
    ( spl0_133
  <=> c3_1(a2099) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f440,plain,
    ( spl0_55
  <=> ! [X91] :
        ( c3_1(X91)
        | c2_1(X91)
        | ~ c0_1(X91) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f966,plain,
    ( spl0_151
  <=> c0_1(a2099) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1250,plain,
    ( c3_1(a2099)
    | c2_1(a2099)
    | ~ spl0_55
    | ~ spl0_151 ),
    inference(resolution,[],[f968,f441]) ).

fof(f441,plain,
    ( ! [X91] :
        ( ~ c0_1(X91)
        | c3_1(X91)
        | c2_1(X91) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f968,plain,
    ( c0_1(a2099)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f1249,plain,
    ( spl0_139
    | spl0_34
    | ~ spl0_51
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1248,f776,f425,f350,f881]) ).

fof(f881,plain,
    ( spl0_139
  <=> c0_1(a2068) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f425,plain,
    ( spl0_51
  <=> ! [X12] :
        ( c2_1(X12)
        | c0_1(X12)
        | ~ c3_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1248,plain,
    ( c2_1(a2068)
    | c0_1(a2068)
    | ~ spl0_51
    | ~ spl0_122 ),
    inference(resolution,[],[f778,f426]) ).

fof(f426,plain,
    ( ! [X12] :
        ( ~ c3_1(X12)
        | c0_1(X12)
        | c2_1(X12) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f1245,plain,
    ( spl0_171
    | spl0_127
    | ~ spl0_49
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1240,f945,f418,f806,f1242]) ).

fof(f806,plain,
    ( spl0_127
  <=> c3_1(a2160) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1240,plain,
    ( c3_1(a2160)
    | c0_1(a2160)
    | ~ spl0_49
    | ~ spl0_148 ),
    inference(resolution,[],[f947,f419]) ).

fof(f947,plain,
    ( c2_1(a2160)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f945]) ).

fof(f1177,plain,
    ( spl0_137
    | ~ spl0_76
    | ~ spl0_71
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1164,f1070,f516,f542,f868]) ).

fof(f868,plain,
    ( spl0_137
  <=> c3_1(a2079) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f516,plain,
    ( spl0_71
  <=> ! [X71] :
        ( ~ c2_1(X71)
        | ~ c0_1(X71)
        | c3_1(X71) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1164,plain,
    ( ~ c0_1(a2079)
    | c3_1(a2079)
    | ~ spl0_71
    | ~ spl0_160 ),
    inference(resolution,[],[f517,f1072]) ).

fof(f1072,plain,
    ( c2_1(a2079)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1070]) ).

fof(f517,plain,
    ( ! [X71] :
        ( ~ c2_1(X71)
        | ~ c0_1(X71)
        | c3_1(X71) )
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f1175,plain,
    ( ~ spl0_124
    | spl0_166
    | ~ spl0_2
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1169,f516,f208,f1172,f789]) ).

fof(f1169,plain,
    ( c3_1(a2075)
    | ~ c0_1(a2075)
    | ~ spl0_2
    | ~ spl0_71 ),
    inference(resolution,[],[f517,f210]) ).

fof(f1154,plain,
    ( spl0_137
    | spl0_160
    | ~ spl0_55
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1146,f542,f440,f1070,f868]) ).

fof(f1146,plain,
    ( c2_1(a2079)
    | c3_1(a2079)
    | ~ spl0_55
    | ~ spl0_76 ),
    inference(resolution,[],[f441,f544]) ).

fof(f544,plain,
    ( c0_1(a2079)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f1140,plain,
    ( spl0_112
    | ~ spl0_150
    | ~ spl0_29
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1129,f888,f329,f958,f719]) ).

fof(f719,plain,
    ( spl0_112
  <=> c1_1(a2084) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f958,plain,
    ( spl0_150
  <=> c3_1(a2084) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f329,plain,
    ( spl0_29
  <=> ! [X59] :
        ( ~ c2_1(X59)
        | c1_1(X59)
        | ~ c3_1(X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f888,plain,
    ( spl0_140
  <=> c2_1(a2084) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f1129,plain,
    ( ~ c3_1(a2084)
    | c1_1(a2084)
    | ~ spl0_29
    | ~ spl0_140 ),
    inference(resolution,[],[f330,f890]) ).

fof(f890,plain,
    ( c2_1(a2084)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f888]) ).

fof(f330,plain,
    ( ! [X59] :
        ( ~ c2_1(X59)
        | c1_1(X59)
        | ~ c3_1(X59) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f1117,plain,
    ( spl0_162
    | ~ spl0_152
    | ~ spl0_22
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f1112,f309,f300,f971,f1114]) ).

fof(f309,plain,
    ( spl0_24
  <=> ! [X41] :
        ( ~ c1_1(X41)
        | ~ c3_1(X41)
        | c0_1(X41) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1112,plain,
    ( ~ c3_1(a2077)
    | c0_1(a2077)
    | ~ spl0_22
    | ~ spl0_24 ),
    inference(resolution,[],[f302,f310]) ).

fof(f310,plain,
    ( ! [X41] :
        ( ~ c1_1(X41)
        | ~ c3_1(X41)
        | c0_1(X41) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f309]) ).

fof(f1109,plain,
    ( spl0_60
    | spl0_155
    | ~ spl0_49
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1102,f624,f418,f1009,f464]) ).

fof(f1102,plain,
    ( c0_1(a2087)
    | c3_1(a2087)
    | ~ spl0_49
    | ~ spl0_94 ),
    inference(resolution,[],[f419,f626]) ).

fof(f1099,plain,
    ( ~ spl0_130
    | spl0_134
    | ~ spl0_69
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1093,f521,f506,f849,f824]) ).

fof(f824,plain,
    ( spl0_130
  <=> c3_1(a2074) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1093,plain,
    ( c2_1(a2074)
    | ~ c3_1(a2074)
    | ~ spl0_69
    | ~ spl0_72 ),
    inference(resolution,[],[f522,f508]) ).

fof(f1086,plain,
    ( ~ spl0_18
    | spl0_128
    | ~ spl0_29
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1084,f1031,f329,f812,f281]) ).

fof(f1031,plain,
    ( spl0_157
  <=> c2_1(a2149) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1084,plain,
    ( c1_1(a2149)
    | ~ c3_1(a2149)
    | ~ spl0_29
    | ~ spl0_157 ),
    inference(resolution,[],[f1033,f330]) ).

fof(f1033,plain,
    ( c2_1(a2149)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1031]) ).

fof(f1083,plain,
    ( spl0_129
    | spl0_161
    | ~ spl0_67
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1076,f746,f497,f1080,f819]) ).

fof(f746,plain,
    ( spl0_117
  <=> c3_1(a2070) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1076,plain,
    ( c1_1(a2070)
    | c2_1(a2070)
    | ~ spl0_67
    | ~ spl0_117 ),
    inference(resolution,[],[f498,f748]) ).

fof(f748,plain,
    ( c3_1(a2070)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f1052,plain,
    ( spl0_159
    | spl0_77
    | ~ spl0_43
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1039,f537,f388,f547,f1049]) ).

fof(f537,plain,
    ( spl0_75
  <=> c1_1(a2076) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1039,plain,
    ( c0_1(a2076)
    | c2_1(a2076)
    | ~ spl0_43
    | ~ spl0_75 ),
    inference(resolution,[],[f389,f539]) ).

fof(f539,plain,
    ( c1_1(a2076)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f1036,plain,
    ( spl0_129
    | ~ spl0_117
    | ~ spl0_42
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1024,f525,f385,f746,f819]) ).

fof(f1024,plain,
    ( ~ c3_1(a2070)
    | c2_1(a2070)
    | ~ spl0_42
    | ~ spl0_73 ),
    inference(resolution,[],[f386,f527]) ).

fof(f527,plain,
    ( c0_1(a2070)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f1035,plain,
    ( ~ spl0_130
    | spl0_134
    | ~ spl0_42
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1026,f1020,f385,f849,f824]) ).

fof(f1026,plain,
    ( c2_1(a2074)
    | ~ c3_1(a2074)
    | ~ spl0_42
    | ~ spl0_156 ),
    inference(resolution,[],[f386,f1022]) ).

fof(f1022,plain,
    ( c0_1(a2074)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1020]) ).

fof(f1034,plain,
    ( ~ spl0_18
    | spl0_157
    | ~ spl0_42
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1028,f752,f385,f1031,f281]) ).

fof(f1028,plain,
    ( c2_1(a2149)
    | ~ c3_1(a2149)
    | ~ spl0_42
    | ~ spl0_118 ),
    inference(resolution,[],[f386,f754]) ).

fof(f1023,plain,
    ( spl0_156
    | ~ spl0_130
    | ~ spl0_24
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1018,f506,f309,f824,f1020]) ).

fof(f1018,plain,
    ( ~ c3_1(a2074)
    | c0_1(a2074)
    | ~ spl0_24
    | ~ spl0_69 ),
    inference(resolution,[],[f508,f310]) ).

fof(f1017,plain,
    ( ~ spl0_124
    | ~ spl0_2
    | ~ spl0_33
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1015,f914,f346,f208,f789]) ).

fof(f1015,plain,
    ( ~ c2_1(a2075)
    | ~ c0_1(a2075)
    | ~ spl0_33
    | ~ spl0_144 ),
    inference(resolution,[],[f916,f347]) ).

fof(f1012,plain,
    ( spl0_60
    | spl0_155
    | ~ spl0_40
    | spl0_93 ),
    inference(avatar_split_clause,[],[f995,f618,f377,f1009,f464]) ).

fof(f377,plain,
    ( spl0_40
  <=> ! [X63] :
        ( c0_1(X63)
        | c3_1(X63)
        | c1_1(X63) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f995,plain,
    ( c0_1(a2087)
    | c3_1(a2087)
    | ~ spl0_40
    | spl0_93 ),
    inference(resolution,[],[f378,f620]) ).

fof(f620,plain,
    ( ~ c1_1(a2087)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f378,plain,
    ( ! [X63] :
        ( c1_1(X63)
        | c3_1(X63)
        | c0_1(X63) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f1006,plain,
    ( spl0_108
    | spl0_106
    | spl0_31
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f994,f377,f337,f684,f700]) ).

fof(f337,plain,
    ( spl0_31
  <=> c1_1(a2072) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f994,plain,
    ( c3_1(a2072)
    | c0_1(a2072)
    | spl0_31
    | ~ spl0_40 ),
    inference(resolution,[],[f378,f339]) ).

fof(f339,plain,
    ( ~ c1_1(a2072)
    | spl0_31 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f978,plain,
    ( ~ spl0_92
    | spl0_77
    | ~ spl0_24
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f976,f537,f309,f547,f613]) ).

fof(f976,plain,
    ( c0_1(a2076)
    | ~ c3_1(a2076)
    | ~ spl0_24
    | ~ spl0_75 ),
    inference(resolution,[],[f310,f539]) ).

fof(f975,plain,
    ( spl0_36
    | ~ spl0_4
    | spl0_86 ),
    inference(avatar_split_clause,[],[f66,f584,f217,f359]) ).

fof(f359,plain,
    ( spl0_36
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f217,plain,
    ( spl0_4
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f66,plain,
    ! [X9] :
      ( ~ c1_1(X9)
      | ~ ndr1_0
      | c2_1(X9)
      | ~ c0_1(X9)
      | hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( ! [X29] :
          ( ~ ndr1_0
          | ~ c2_1(X29)
          | c3_1(X29)
          | c1_1(X29) )
      | hskp8
      | ! [X30] :
          ( c2_1(X30)
          | ~ c1_1(X30)
          | c0_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( ~ c1_1(X24)
          | ~ c3_1(X24)
          | c0_1(X24)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c3_1(X23)
          | c2_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X109] :
          ( ~ c0_1(X109)
          | ~ c2_1(X109)
          | c3_1(X109)
          | ~ ndr1_0 )
      | hskp4
      | ! [X108] :
          ( ~ c3_1(X108)
          | ~ ndr1_0
          | ~ c0_1(X108)
          | c2_1(X108) ) )
    & ( ! [X38] :
          ( ~ c2_1(X38)
          | ~ ndr1_0
          | c0_1(X38)
          | ~ c3_1(X38) )
      | ! [X40] :
          ( c1_1(X40)
          | c0_1(X40)
          | ~ c2_1(X40)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c0_1(X39)
          | c1_1(X39)
          | ~ ndr1_0
          | ~ c2_1(X39) ) )
    & ( hskp10
      | ! [X69] :
          ( ~ c3_1(X69)
          | c0_1(X69)
          | ~ ndr1_0
          | c2_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c2_1(X68)
          | ~ c3_1(X68)
          | ~ c0_1(X68) ) )
    & ( ! [X13] :
          ( ~ c1_1(X13)
          | ~ ndr1_0
          | c3_1(X13)
          | c0_1(X13) )
      | ! [X12] :
          ( ~ c3_1(X12)
          | c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c3_1(X11)
          | ~ ndr1_0
          | c2_1(X11)
          | ~ c1_1(X11) ) )
    & ( hskp5
      | hskp29
      | hskp3 )
    & ( hskp22
      | hskp17
      | ! [X75] :
          ( ~ c3_1(X75)
          | ~ c0_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 ) )
    & ( ( ~ c1_1(a2072)
        & ~ c3_1(a2072)
        & ndr1_0
        & ~ c0_1(a2072) )
      | ~ hskp3 )
    & ( ! [X44] :
          ( ~ ndr1_0
          | c2_1(X44)
          | ~ c3_1(X44)
          | ~ c1_1(X44) )
      | hskp3
      | ! [X45] :
          ( c3_1(X45)
          | ~ c0_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( ( ~ c2_1(a2070)
        & c3_1(a2070)
        & c0_1(a2070)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ! [X91] :
          ( ~ ndr1_0
          | c3_1(X91)
          | c2_1(X91)
          | ~ c0_1(X91) )
      | ! [X92] :
          ( ~ c3_1(X92)
          | ~ c2_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X58] :
          ( c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0
          | c2_1(X58) )
      | ! [X56] :
          ( ~ ndr1_0
          | c0_1(X56)
          | ~ c1_1(X56)
          | c2_1(X56) )
      | ! [X57] :
          ( c2_1(X57)
          | c3_1(X57)
          | ~ ndr1_0
          | c1_1(X57) ) )
    & ( ! [X84] :
          ( ~ c2_1(X84)
          | c3_1(X84)
          | ~ ndr1_0
          | ~ c1_1(X84) )
      | hskp12
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c0_1(X83)
          | ~ c1_1(X83)
          | c2_1(X83) ) )
    & ( ! [X107] :
          ( ~ c1_1(X107)
          | ~ ndr1_0
          | ~ c2_1(X107)
          | c0_1(X107) )
      | ! [X106] :
          ( c1_1(X106)
          | c3_1(X106)
          | c2_1(X106)
          | ~ ndr1_0 )
      | hskp14 )
    & ( hskp26
      | ! [X48] :
          ( c2_1(X48)
          | c1_1(X48)
          | ~ c0_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c0_1(X49)
          | ~ c3_1(X49)
          | ~ c2_1(X49) ) )
    & ( ( ndr1_0
        & ~ c0_1(a2140)
        & c2_1(a2140)
        & c3_1(a2140) )
      | ~ hskp22 )
    & ( ( c1_1(a2073)
        & c0_1(a2073)
        & ndr1_0
        & c3_1(a2073) )
      | ~ hskp27 )
    & ( ! [X33] :
          ( c3_1(X33)
          | ~ ndr1_0
          | ~ c2_1(X33)
          | c1_1(X33) )
      | hskp4
      | ! [X34] :
          ( c0_1(X34)
          | c3_1(X34)
          | ~ ndr1_0
          | c1_1(X34) ) )
    & ( hskp24
      | hskp12
      | hskp10 )
    & ( ! [X37] :
          ( ~ ndr1_0
          | ~ c3_1(X37)
          | c0_1(X37)
          | ~ c2_1(X37) )
      | hskp27
      | hskp29 )
    & ( ! [X112] :
          ( c1_1(X112)
          | ~ c0_1(X112)
          | c3_1(X112)
          | ~ ndr1_0 )
      | ! [X114] :
          ( ~ c3_1(X114)
          | ~ c1_1(X114)
          | ~ ndr1_0
          | ~ c0_1(X114) )
      | ! [X113] :
          ( ~ c0_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0
          | ~ c2_1(X113) ) )
    & ( hskp18
      | hskp25
      | hskp12 )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a2093)
        & ~ c1_1(a2093)
        & ~ c3_1(a2093) ) )
    & ( ! [X101] :
          ( ~ ndr1_0
          | ~ c3_1(X101)
          | ~ c2_1(X101)
          | c1_1(X101) )
      | hskp20
      | ! [X100] :
          ( ~ c0_1(X100)
          | ~ c2_1(X100)
          | ~ ndr1_0
          | ~ c1_1(X100) ) )
    & ( ! [X88] :
          ( ~ c1_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 )
      | hskp9
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c0_1(X87)
          | c2_1(X87)
          | ~ c1_1(X87) ) )
    & ( ~ hskp28
      | ( c2_1(a2075)
        & c1_1(a2075)
        & c0_1(a2075)
        & ndr1_0 ) )
    & ( ~ hskp4
      | ( c3_1(a2074)
        & c1_1(a2074)
        & ~ c2_1(a2074)
        & ndr1_0 ) )
    & ( hskp8
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c0_1(X17)
          | ~ c3_1(X17)
          | c1_1(X17) )
      | ! [X18] :
          ( ~ ndr1_0
          | c3_1(X18)
          | c2_1(X18)
          | ~ c1_1(X18) ) )
    & ( hskp5
      | ! [X5] :
          ( ~ c0_1(X5)
          | ~ ndr1_0
          | c2_1(X5)
          | ~ c1_1(X5) )
      | ! [X6] :
          ( c2_1(X6)
          | ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp28
      | ! [X63] :
          ( c0_1(X63)
          | c3_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 )
      | hskp26 )
    & ( hskp15
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0
          | c1_1(X47) )
      | hskp7 )
    & ( hskp0
      | ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c0_1(X3)
          | ~ c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp16
      | ! [X118] :
          ( ~ c1_1(X118)
          | c2_1(X118)
          | ~ ndr1_0
          | ~ c0_1(X118) ) )
    & ( hskp20
      | ! [X86] :
          ( ~ c1_1(X86)
          | ~ c0_1(X86)
          | c2_1(X86)
          | ~ ndr1_0 )
      | hskp17 )
    & ( hskp3
      | hskp2
      | ! [X72] :
          ( c2_1(X72)
          | ~ ndr1_0
          | c0_1(X72)
          | c1_1(X72) ) )
    & ( hskp1
      | ! [X98] :
          ( c2_1(X98)
          | c0_1(X98)
          | c1_1(X98)
          | ~ ndr1_0 )
      | hskp26 )
    & ( hskp8
      | ! [X2] :
          ( ~ ndr1_0
          | ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c3_1(X2) )
      | ! [X1] :
          ( c1_1(X1)
          | c2_1(X1)
          | ~ ndr1_0
          | ~ c3_1(X1) ) )
    & ( ( c0_1(a2078)
        & ~ c2_1(a2078)
        & ~ c1_1(a2078)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ! [X96] :
          ( ~ c0_1(X96)
          | c1_1(X96)
          | c3_1(X96)
          | ~ ndr1_0 )
      | hskp19
      | hskp11 )
    & ( hskp11
      | ! [X19] :
          ( ~ c0_1(X19)
          | ~ ndr1_0
          | ~ c1_1(X19)
          | ~ c2_1(X19) )
      | ! [X20] :
          ( ~ ndr1_0
          | c2_1(X20)
          | c3_1(X20)
          | ~ c0_1(X20) ) )
    & ( ! [X32] :
          ( ~ ndr1_0
          | ~ c1_1(X32)
          | ~ c2_1(X32)
          | ~ c3_1(X32) )
      | ! [X31] :
          ( c0_1(X31)
          | ~ ndr1_0
          | ~ c1_1(X31)
          | c3_1(X31) )
      | hskp8 )
    & ( hskp27
      | hskp5
      | hskp23 )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a2149)
        & c3_1(a2149)
        & ~ c1_1(a2149) ) )
    & ( hskp4
      | ! [X95] :
          ( c0_1(X95)
          | ~ ndr1_0
          | ~ c3_1(X95)
          | ~ c1_1(X95) )
      | hskp28 )
    & ( hskp11
      | ! [X8] :
          ( ~ ndr1_0
          | c3_1(X8)
          | ~ c2_1(X8)
          | c1_1(X8) )
      | ! [X7] :
          ( ~ c1_1(X7)
          | c0_1(X7)
          | ~ c2_1(X7)
          | ~ ndr1_0 ) )
    & ( ~ hskp12
      | ( ~ c2_1(a2095)
        & c1_1(a2095)
        & ~ c0_1(a2095)
        & ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X97] :
          ( ~ ndr1_0
          | c3_1(X97)
          | c0_1(X97)
          | ~ c2_1(X97) ) )
    & ( ~ hskp5
      | ( c3_1(a2076)
        & c1_1(a2076)
        & ndr1_0
        & ~ c0_1(a2076) ) )
    & ( ! [X42] :
          ( c1_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0
          | ~ c2_1(X42) )
      | hskp3
      | ! [X43] :
          ( ~ ndr1_0
          | c2_1(X43)
          | ~ c0_1(X43)
          | ~ c3_1(X43) ) )
    & ( ! [X65] :
          ( c2_1(X65)
          | ~ c0_1(X65)
          | ~ c1_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c3_1(X66)
          | ~ ndr1_0
          | ~ c1_1(X66)
          | c0_1(X66) )
      | ! [X67] :
          ( ~ c3_1(X67)
          | ~ c0_1(X67)
          | c1_1(X67)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a2082)
        & ~ c0_1(a2082)
        & ndr1_0
        & c2_1(a2082) )
      | ~ hskp8 )
    & ( ! [X16] :
          ( c3_1(X16)
          | ~ c1_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c1_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0
          | c0_1(X14) )
      | ! [X15] :
          ( c1_1(X15)
          | ~ ndr1_0
          | ~ c2_1(X15)
          | ~ c3_1(X15) ) )
    & ( hskp27
      | hskp7
      | ! [X99] :
          ( c0_1(X99)
          | c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a2079)
        & ~ c3_1(a2079)
        & ndr1_0
        & c0_1(a2079) )
      | ~ hskp7 )
    & ( ! [X105] :
          ( ~ c3_1(X105)
          | c1_1(X105)
          | ~ ndr1_0
          | ~ c0_1(X105) )
      | ! [X104] :
          ( c2_1(X104)
          | ~ ndr1_0
          | c3_1(X104)
          | ~ c1_1(X104) )
      | hskp17 )
    & ( ( ndr1_0
        & c0_1(a2069)
        & c3_1(a2069)
        & c2_1(a2069) )
      | ~ hskp26 )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a2122)
        & ~ c3_1(a2122)
        & c2_1(a2122) ) )
    & ( ! [X52] :
          ( c3_1(X52)
          | ~ c2_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c1_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0
          | c2_1(X51) )
      | ! [X50] :
          ( ~ ndr1_0
          | c3_1(X50)
          | c0_1(X50)
          | c2_1(X50) ) )
    & ( ! [X71] :
          ( ~ ndr1_0
          | ~ c0_1(X71)
          | c3_1(X71)
          | ~ c2_1(X71) )
      | ! [X70] :
          ( c2_1(X70)
          | ~ ndr1_0
          | c1_1(X70)
          | ~ c3_1(X70) )
      | hskp16 )
    & ( ! [X61] :
          ( ~ ndr1_0
          | ~ c2_1(X61)
          | c0_1(X61)
          | c3_1(X61) )
      | hskp10
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0
          | c1_1(X62) ) )
    & ( ( ~ c1_1(a2104)
        & c3_1(a2104)
        & ~ c0_1(a2104)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ! [X21] :
          ( ~ c1_1(X21)
          | ~ c0_1(X21)
          | ~ ndr1_0
          | ~ c2_1(X21) )
      | hskp4
      | hskp7 )
    & ( ~ hskp13
      | ( c2_1(a2096)
        & ndr1_0
        & ~ c1_1(a2096)
        & ~ c0_1(a2096) ) )
    & ( hskp16
      | hskp7
      | ! [X53] :
          ( c2_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0
          | ~ c3_1(X53) ) )
    & ( ! [X89] :
          ( ~ ndr1_0
          | ~ c0_1(X89)
          | c1_1(X89)
          | ~ c3_1(X89) )
      | ! [X90] :
          ( c0_1(X90)
          | ~ c1_1(X90)
          | ~ ndr1_0
          | c2_1(X90) )
      | hskp2 )
    & ( ( c3_1(a2068)
        & ~ c2_1(a2068)
        & ~ c0_1(a2068)
        & ndr1_0 )
      | ~ hskp0 )
    & ( ! [X0] :
          ( c1_1(X0)
          | ~ ndr1_0
          | ~ c3_1(X0)
          | c2_1(X0) )
      | hskp26
      | hskp18 )
    & ( ~ hskp15
      | ( c0_1(a2099)
        & ~ c3_1(a2099)
        & ndr1_0
        & ~ c2_1(a2099) ) )
    & ( ! [X28] :
          ( ~ c1_1(X28)
          | ~ c2_1(X28)
          | ~ ndr1_0
          | c0_1(X28) )
      | ! [X27] :
          ( ~ c2_1(X27)
          | c3_1(X27)
          | c0_1(X27)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X54] :
          ( ~ c3_1(X54)
          | ~ ndr1_0
          | ~ c0_1(X54)
          | ~ c2_1(X54) )
      | ! [X55] :
          ( ~ ndr1_0
          | c0_1(X55)
          | ~ c1_1(X55)
          | c3_1(X55) )
      | hskp4 )
    & ( ! [X80] :
          ( ~ c3_1(X80)
          | c2_1(X80)
          | ~ ndr1_0
          | ~ c1_1(X80) )
      | ! [X81] :
          ( c0_1(X81)
          | ~ ndr1_0
          | c3_1(X81)
          | ~ c2_1(X81) )
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c0_1(X82)
          | c2_1(X82)
          | ~ c3_1(X82) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c3_1(a2071)
        & c0_1(a2071)
        & c2_1(a2071) ) )
    & ( hskp29
      | ! [X111] :
          ( c1_1(X111)
          | ~ c2_1(X111)
          | ~ ndr1_0
          | c0_1(X111) )
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c0_1(X110)
          | ~ c1_1(X110)
          | c2_1(X110) ) )
    & ( ( ~ c3_1(a2160)
        & ndr1_0
        & c2_1(a2160)
        & c1_1(a2160) )
      | ~ hskp24 )
    & ( ! [X41] :
          ( ~ c3_1(X41)
          | ~ c1_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 )
      | hskp0 )
    & ( hskp9
      | ! [X74] :
          ( ~ c1_1(X74)
          | c0_1(X74)
          | ~ ndr1_0
          | c2_1(X74) )
      | ! [X73] :
          ( ~ ndr1_0
          | c2_1(X73)
          | ~ c0_1(X73)
          | ~ c3_1(X73) ) )
    & ( hskp8
      | ! [X85] :
          ( c3_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0
          | c1_1(X85) )
      | hskp1 )
    & ( ! [X77] :
          ( ~ c1_1(X77)
          | ~ ndr1_0
          | ~ c3_1(X77)
          | ~ c0_1(X77) )
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | c0_1(X76)
          | c1_1(X76) )
      | hskp7 )
    & ( hskp7
      | hskp15
      | hskp23 )
    & ( ! [X78] :
          ( c1_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0
          | ~ c3_1(X78) )
      | ! [X79] :
          ( ~ c0_1(X79)
          | c3_1(X79)
          | ~ ndr1_0
          | c1_1(X79) )
      | hskp26 )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c0_1(a2172)
        & c1_1(a2172)
        & ~ c3_1(a2172) ) )
    & ( hskp23
      | hskp1
      | hskp17 )
    & ( ( ndr1_0
        & ~ c2_1(a2130)
        & ~ c3_1(a2130)
        & ~ c1_1(a2130) )
      | ~ hskp20 )
    & ( ~ hskp17
      | ( c2_1(a2110)
        & ndr1_0
        & ~ c1_1(a2110)
        & c0_1(a2110) ) )
    & ( hskp26
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c0_1(X102)
          | ~ c2_1(X102)
          | ~ c1_1(X102) )
      | ! [X103] :
          ( ~ c2_1(X103)
          | ~ ndr1_0
          | ~ c3_1(X103)
          | c0_1(X103) ) )
    & ( ~ hskp18
      | ( c1_1(a2116)
        & ~ c2_1(a2116)
        & ~ c3_1(a2116)
        & ndr1_0 ) )
    & ( ! [X46] :
          ( ~ c3_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0
          | c1_1(X46) )
      | hskp10
      | hskp11 )
    & ( ~ hskp29
      | ( c3_1(a2077)
        & ndr1_0
        & c2_1(a2077)
        & c1_1(a2077) ) )
    & ( hskp24
      | hskp5
      | hskp23 )
    & ( ! [X26] :
          ( ~ ndr1_0
          | c3_1(X26)
          | c0_1(X26)
          | c1_1(X26) )
      | ! [X25] :
          ( ~ c2_1(X25)
          | c0_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 )
      | hskp27 )
    & ( hskp22
      | ! [X9] :
          ( ~ ndr1_0
          | c2_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9) ) )
    & ( ! [X59] :
          ( ~ ndr1_0
          | ~ c3_1(X59)
          | ~ c2_1(X59)
          | c1_1(X59) )
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c2_1(X60)
          | ~ c3_1(X60)
          | c0_1(X60) )
      | hskp27 )
    & ( ! [X64] :
          ( c2_1(X64)
          | c3_1(X64)
          | ~ ndr1_0
          | c0_1(X64) )
      | hskp4
      | hskp5 )
    & ( hskp11
      | ! [X94] :
          ( c0_1(X94)
          | ~ ndr1_0
          | c3_1(X94)
          | ~ c2_1(X94) )
      | ! [X93] :
          ( ~ ndr1_0
          | c1_1(X93)
          | c2_1(X93)
          | ~ c0_1(X93) ) )
    & ( hskp1
      | ! [X117] :
          ( c2_1(X117)
          | c3_1(X117)
          | ~ ndr1_0
          | c1_1(X117) )
      | hskp17 )
    & ( ~ hskp10
      | ( ~ c1_1(a2087)
        & c2_1(a2087)
        & ndr1_0
        & ~ c3_1(a2087) ) )
    & ( ( c2_1(a2084)
        & c3_1(a2084)
        & ndr1_0
        & ~ c1_1(a2084) )
      | ~ hskp9 )
    & ( hskp18
      | hskp6
      | hskp5 )
    & ( ! [X115] :
          ( c0_1(X115)
          | ~ c3_1(X115)
          | c1_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( ~ c3_1(X116)
          | ~ ndr1_0
          | c1_1(X116)
          | ~ c0_1(X116) )
      | hskp6 )
    & ( ( c1_1(a2136)
        & ndr1_0
        & ~ c2_1(a2136)
        & c0_1(a2136) )
      | ~ hskp21 )
    & ( ~ hskp14
      | ( ~ c1_1(a2097)
        & ndr1_0
        & ~ c2_1(a2097)
        & ~ c0_1(a2097) ) )
    & ( ! [X10] :
          ( c0_1(X10)
          | ~ ndr1_0
          | ~ c3_1(X10)
          | ~ c2_1(X10) )
      | hskp0
      | hskp11 )
    & ( hskp17
      | hskp2 )
    & ( ! [X35] :
          ( c1_1(X35)
          | ~ c3_1(X35)
          | c2_1(X35)
          | ~ ndr1_0 )
      | hskp4
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c3_1(X36)
          | c0_1(X36)
          | c2_1(X36) ) ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( ( c1_1(a2079)
        & ~ c3_1(a2079)
        & ndr1_0
        & c0_1(a2079) )
      | ~ hskp7 )
    & ( ! [X45] :
          ( c1_1(X45)
          | ~ c0_1(X45)
          | c3_1(X45)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c1_1(X44)
          | c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | hskp3 )
    & ( hskp28
      | ! [X95] :
          ( ~ c1_1(X95)
          | ~ c3_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 )
      | hskp4 )
    & ( hskp27
      | hskp5
      | hskp23 )
    & ( ! [X63] :
          ( c0_1(X63)
          | c1_1(X63)
          | c3_1(X63)
          | ~ ndr1_0 )
      | hskp28
      | hskp5 )
    & ( ! [X117] :
          ( c2_1(X117)
          | c3_1(X117)
          | c1_1(X117)
          | ~ ndr1_0 )
      | hskp1
      | hskp17 )
    & ( ! [X40] :
          ( c0_1(X40)
          | ~ c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c0_1(X38)
          | ~ c3_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c0_1(X39)
          | c1_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X60] :
          ( ~ c2_1(X60)
          | c0_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c2_1(X59)
          | c1_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a2093)
        & ~ c1_1(a2093)
        & ~ c3_1(a2093) ) )
    & ( ! [X96] :
          ( c1_1(X96)
          | c3_1(X96)
          | ~ c0_1(X96)
          | ~ ndr1_0 )
      | hskp11
      | hskp19 )
    & ( ! [X26] :
          ( c1_1(X26)
          | c3_1(X26)
          | c0_1(X26)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c2_1(X25)
          | c0_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X17] :
          ( ~ c0_1(X17)
          | ~ c3_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c1_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X66] :
          ( ~ c1_1(X66)
          | ~ c3_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c0_1(X65)
          | ~ c1_1(X65)
          | c2_1(X65)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c1_1(X67)
          | ~ c3_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c0_1(a2140)
        & c2_1(a2140)
        & c3_1(a2140) )
      | ~ hskp22 )
    & ( ( ~ c2_1(a2070)
        & c3_1(a2070)
        & c0_1(a2070)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ! [X23] :
          ( ~ c3_1(X23)
          | c1_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c1_1(X24)
          | c0_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X114] :
          ( ~ c0_1(X114)
          | ~ c1_1(X114)
          | ~ c3_1(X114)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c1_1(X112)
          | ~ c0_1(X112)
          | c3_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c3_1(X113)
          | ~ c0_1(X113)
          | ~ c2_1(X113)
          | ~ ndr1_0 ) )
    & ( ! [X110] :
          ( c2_1(X110)
          | ~ c1_1(X110)
          | ~ c0_1(X110)
          | ~ ndr1_0 )
      | hskp29
      | ! [X111] :
          ( ~ c2_1(X111)
          | c0_1(X111)
          | c1_1(X111)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( ~ c0_1(X73)
          | ~ c3_1(X73)
          | c2_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c2_1(X74)
          | c0_1(X74)
          | ~ c1_1(X74)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ~ hskp12
      | ( ~ c2_1(a2095)
        & c1_1(a2095)
        & ~ c0_1(a2095)
        & ndr1_0 ) )
    & ( ( c1_1(a2073)
        & c0_1(a2073)
        & ndr1_0
        & c3_1(a2073) )
      | ~ hskp27 )
    & ( ~ hskp14
      | ( ~ c1_1(a2097)
        & ndr1_0
        & ~ c2_1(a2097)
        & ~ c0_1(a2097) ) )
    & ( ( ndr1_0
        & c0_1(a2069)
        & c3_1(a2069)
        & c2_1(a2069) )
      | ~ hskp26 )
    & ( ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | ~ c0_1(X49)
          | ~ ndr1_0 )
      | hskp26
      | ! [X48] :
          ( ~ c0_1(X48)
          | c1_1(X48)
          | c2_1(X48)
          | ~ ndr1_0 ) )
    & ( ~ hskp29
      | ( c3_1(a2077)
        & ndr1_0
        & c2_1(a2077)
        & c1_1(a2077) ) )
    & ( hskp27
      | ! [X37] :
          ( c0_1(X37)
          | ~ c2_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ( c1_1(a2136)
        & ndr1_0
        & ~ c2_1(a2136)
        & c0_1(a2136) )
      | ~ hskp21 )
    & ( ! [X104] :
          ( ~ c1_1(X104)
          | c3_1(X104)
          | c2_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c0_1(X105)
          | c1_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c2_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | hskp10
      | ! [X62] :
          ( ~ c3_1(X62)
          | c1_1(X62)
          | ~ c2_1(X62)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a2068)
        & ~ c2_1(a2068)
        & ~ c0_1(a2068)
        & ndr1_0 )
      | ~ hskp0 )
    & ( ! [X7] :
          ( ~ c1_1(X7)
          | ~ c2_1(X7)
          | c0_1(X7)
          | ~ ndr1_0 )
      | hskp11
      | ! [X8] :
          ( c3_1(X8)
          | c1_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X28] :
          ( ~ c2_1(X28)
          | c0_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c3_1(X27)
          | ~ c2_1(X27)
          | c0_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X21] :
          ( ~ c2_1(X21)
          | ~ c0_1(X21)
          | ~ c1_1(X21)
          | ~ ndr1_0 )
      | hskp7
      | hskp4 )
    & ( hskp26
      | ! [X102] :
          ( ~ c0_1(X102)
          | ~ c2_1(X102)
          | ~ c1_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( c0_1(X103)
          | ~ c2_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c0_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | hskp11 )
    & ( hskp17
      | ! [X75] :
          ( ~ c1_1(X75)
          | ~ c3_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X90] :
          ( c2_1(X90)
          | c0_1(X90)
          | ~ c1_1(X90)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c3_1(X89)
          | c1_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X85] :
          ( ~ c0_1(X85)
          | c1_1(X85)
          | c3_1(X85)
          | ~ ndr1_0 )
      | hskp8
      | hskp1 )
    & ( hskp26
      | hskp18
      | ! [X0] :
          ( c1_1(X0)
          | c2_1(X0)
          | ~ c3_1(X0)
          | ~ ndr1_0 ) )
    & ( ! [X32] :
          ( ~ c3_1(X32)
          | ~ c1_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0 )
      | hskp8
      | ! [X31] :
          ( ~ c1_1(X31)
          | c3_1(X31)
          | c0_1(X31)
          | ~ ndr1_0 ) )
    & ( ( c0_1(a2078)
        & ~ c2_1(a2078)
        & ~ c1_1(a2078)
        & ndr1_0 )
      | ~ hskp6 )
    & ( hskp20
      | ! [X100] :
          ( ~ c0_1(X100)
          | ~ c2_1(X100)
          | ~ c1_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c2_1(X101)
          | c1_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp29
      | hskp3 )
    & ( ! [X10] :
          ( ~ c2_1(X10)
          | ~ c3_1(X10)
          | c0_1(X10)
          | ~ ndr1_0 )
      | hskp11
      | hskp0 )
    & ( ! [X92] :
          ( ~ c3_1(X92)
          | c0_1(X92)
          | ~ c2_1(X92)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c2_1(X91)
          | ~ c0_1(X91)
          | c3_1(X91)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a2122)
        & ~ c3_1(a2122)
        & c2_1(a2122) ) )
    & ( ( c1_1(a2082)
        & ~ c0_1(a2082)
        & ndr1_0
        & c2_1(a2082) )
      | ~ hskp8 )
    & ( ( ~ c1_1(a2072)
        & ~ c3_1(a2072)
        & ndr1_0
        & ~ c0_1(a2072) )
      | ~ hskp3 )
    & ( ~ hskp10
      | ( ~ c1_1(a2087)
        & c2_1(a2087)
        & ndr1_0
        & ~ c3_1(a2087) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c0_1(a2172)
        & c1_1(a2172)
        & ~ c3_1(a2172) ) )
    & ( ~ hskp15
      | ( c0_1(a2099)
        & ~ c3_1(a2099)
        & ndr1_0
        & ~ c2_1(a2099) ) )
    & ( hskp24
      | hskp5
      | hskp23 )
    & ( ! [X5] :
          ( ~ c0_1(X5)
          | ~ c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | hskp5
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c3_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X72] :
          ( c1_1(X72)
          | c0_1(X72)
          | c2_1(X72)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X64] :
          ( c0_1(X64)
          | c2_1(X64)
          | c3_1(X64)
          | ~ ndr1_0 )
      | hskp5
      | hskp4 )
    & ( ! [X43] :
          ( c2_1(X43)
          | ~ c0_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | hskp3
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( c1_1(X14)
          | ~ c3_1(X14)
          | c0_1(X14)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c2_1(X16)
          | ~ c1_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c2_1(X15)
          | c1_1(X15)
          | ~ ndr1_0 ) )
    & ( ! [X78] :
          ( ~ c2_1(X78)
          | ~ c3_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c3_1(X79)
          | ~ c0_1(X79)
          | c1_1(X79)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X115] :
          ( c1_1(X115)
          | ~ c3_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( ~ c3_1(X116)
          | ~ c0_1(X116)
          | c1_1(X116)
          | ~ ndr1_0 )
      | hskp6 )
    & ( hskp16
      | ! [X70] :
          ( c2_1(X70)
          | ~ c3_1(X70)
          | c1_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c2_1(X71)
          | ~ c0_1(X71)
          | c3_1(X71)
          | ~ ndr1_0 ) )
    & ( ~ hskp28
      | ( c2_1(a2075)
        & c1_1(a2075)
        & c0_1(a2075)
        & ndr1_0 ) )
    & ( hskp18
      | hskp6
      | hskp5 )
    & ( ! [X118] :
          ( c2_1(X118)
          | ~ c1_1(X118)
          | ~ c0_1(X118)
          | ~ ndr1_0 )
      | hskp16
      | hskp21 )
    & ( ! [X80] :
          ( c2_1(X80)
          | ~ c3_1(X80)
          | ~ c1_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c2_1(X81)
          | c0_1(X81)
          | c3_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | ~ c0_1(X82)
          | c2_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X99] :
          ( ~ c3_1(X99)
          | c0_1(X99)
          | c2_1(X99)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X29] :
          ( ~ c2_1(X29)
          | c1_1(X29)
          | c3_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c1_1(X30)
          | c0_1(X30)
          | c2_1(X30)
          | ~ ndr1_0 )
      | hskp8 )
    & ( hskp26
      | ! [X22] :
          ( ~ c3_1(X22)
          | c1_1(X22)
          | ~ c0_1(X22)
          | ~ ndr1_0 )
      | hskp5 )
    & ( hskp24
      | hskp12
      | hskp10 )
    & ( hskp11
      | ! [X93] :
          ( c2_1(X93)
          | ~ c0_1(X93)
          | c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | ~ c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( ! [X98] :
          ( c1_1(X98)
          | c2_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 )
      | hskp26
      | hskp1 )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 )
      | hskp0
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c3_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( c0_1(X41)
          | ~ c1_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | hskp0 )
    & ( hskp10
      | ! [X69] :
          ( ~ c3_1(X69)
          | c0_1(X69)
          | c2_1(X69)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c2_1(X68)
          | ~ c0_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X58] :
          ( c1_1(X58)
          | c0_1(X58)
          | c2_1(X58)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c1_1(X56)
          | c2_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c2_1(X57)
          | c3_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 ) )
    & ( ~ hskp5
      | ( c3_1(a2076)
        & c1_1(a2076)
        & ndr1_0
        & ~ c0_1(a2076) ) )
    & ( ! [X54] :
          ( ~ c3_1(X54)
          | ~ c0_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c1_1(X55)
          | c0_1(X55)
          | c3_1(X55)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ~ hskp13
      | ( c2_1(a2096)
        & ndr1_0
        & ~ c1_1(a2096)
        & ~ c0_1(a2096) ) )
    & ( ! [X34] :
          ( c3_1(X34)
          | c0_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 )
      | hskp4
      | ! [X33] :
          ( ~ c2_1(X33)
          | c1_1(X33)
          | c3_1(X33)
          | ~ ndr1_0 ) )
    & ( ~ hskp17
      | ( c2_1(a2110)
        & ndr1_0
        & ~ c1_1(a2110)
        & c0_1(a2110) ) )
    & ( ! [X52] :
          ( c3_1(X52)
          | c1_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c3_1(X50)
          | c2_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c1_1(X51)
          | c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X109] :
          ( c3_1(X109)
          | ~ c0_1(X109)
          | ~ c2_1(X109)
          | ~ ndr1_0 )
      | hskp4
      | ! [X108] :
          ( ~ c0_1(X108)
          | ~ c3_1(X108)
          | c2_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X106] :
          ( c1_1(X106)
          | c2_1(X106)
          | c3_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( ~ c2_1(X107)
          | ~ c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp25
      | hskp12 )
    & ( hskp17
      | ! [X86] :
          ( c2_1(X86)
          | ~ c0_1(X86)
          | ~ c1_1(X86)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ( ~ c1_1(a2104)
        & c3_1(a2104)
        & ~ c0_1(a2104)
        & ndr1_0 )
      | ~ hskp16 )
    & ( hskp22
      | ! [X9] :
          ( c2_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp2 )
    & ( ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 )
      | hskp8
      | ! [X1] :
          ( ~ c3_1(X1)
          | c1_1(X1)
          | c2_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp15
      | hskp23 )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a2149)
        & c3_1(a2149)
        & ~ c1_1(a2149) ) )
    & ( hskp11
      | ! [X20] :
          ( c3_1(X20)
          | c2_1(X20)
          | ~ c0_1(X20)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c1_1(X19)
          | ~ c2_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( c2_1(X35)
          | c1_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | hskp4
      | ! [X36] :
          ( ~ c3_1(X36)
          | c0_1(X36)
          | c2_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp13
      | ! [X97] :
          ( c0_1(X97)
          | ~ c2_1(X97)
          | c3_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp15
      | ! [X47] :
          ( ~ c2_1(X47)
          | ~ c3_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X84] :
          ( ~ c2_1(X84)
          | ~ c1_1(X84)
          | c3_1(X84)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c2_1(X83)
          | ~ c1_1(X83)
          | ~ c0_1(X83)
          | ~ ndr1_0 ) )
    & ( ! [X12] :
          ( ~ c3_1(X12)
          | c2_1(X12)
          | c0_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c0_1(X13)
          | c3_1(X13)
          | ~ c1_1(X13)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c1_1(X11)
          | c2_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 ) )
    & ( ~ hskp18
      | ( c1_1(a2116)
        & ~ c2_1(a2116)
        & ~ c3_1(a2116)
        & ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c2_1(a2130)
        & ~ c3_1(a2130)
        & ~ c1_1(a2130) )
      | ~ hskp20 )
    & ( hskp23
      | hskp1
      | hskp17 )
    & ( ( ~ c3_1(a2160)
        & ndr1_0
        & c2_1(a2160)
        & c1_1(a2160) )
      | ~ hskp24 )
    & ( ! [X87] :
          ( c2_1(X87)
          | ~ c0_1(X87)
          | ~ c1_1(X87)
          | ~ ndr1_0 )
      | hskp9
      | ! [X88] :
          ( ~ c1_1(X88)
          | c0_1(X88)
          | c2_1(X88)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a2084)
        & c3_1(a2084)
        & ndr1_0
        & ~ c1_1(a2084) )
      | ~ hskp9 )
    & ( ~ hskp4
      | ( c3_1(a2074)
        & c1_1(a2074)
        & ~ c2_1(a2074)
        & ndr1_0 ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c3_1(a2071)
        & c0_1(a2071)
        & c2_1(a2071) ) )
    & ( hskp7
      | ! [X76] :
          ( c1_1(X76)
          | c0_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c0_1(X77)
          | ~ c1_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X53] :
          ( c2_1(X53)
          | ~ c0_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | hskp7 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( ( c1_1(a2079)
        & ~ c3_1(a2079)
        & ndr1_0
        & c0_1(a2079) )
      | ~ hskp7 )
    & ( ! [X45] :
          ( ndr1_0
         => ( c1_1(X45)
            | ~ c0_1(X45)
            | c3_1(X45) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c1_1(X44)
            | c2_1(X44)
            | ~ c3_1(X44) ) )
      | hskp3 )
    & ( hskp28
      | ! [X95] :
          ( ndr1_0
         => ( ~ c1_1(X95)
            | ~ c3_1(X95)
            | c0_1(X95) ) )
      | hskp4 )
    & ( hskp27
      | hskp5
      | hskp23 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c0_1(X63)
            | c1_1(X63)
            | c3_1(X63) ) )
      | hskp28
      | hskp5 )
    & ( ! [X117] :
          ( ndr1_0
         => ( c2_1(X117)
            | c3_1(X117)
            | c1_1(X117) ) )
      | hskp1
      | hskp17 )
    & ( ! [X40] :
          ( ndr1_0
         => ( c0_1(X40)
            | ~ c2_1(X40)
            | c1_1(X40) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | ~ c3_1(X38)
            | ~ c2_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c0_1(X39)
            | c1_1(X39)
            | ~ c2_1(X39) ) ) )
    & ( hskp27
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | c0_1(X60)
            | ~ c3_1(X60) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c2_1(X59)
            | c1_1(X59)
            | ~ c3_1(X59) ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a2093)
        & ~ c1_1(a2093)
        & ~ c3_1(a2093) ) )
    & ( ! [X96] :
          ( ndr1_0
         => ( c1_1(X96)
            | c3_1(X96)
            | ~ c0_1(X96) ) )
      | hskp11
      | hskp19 )
    & ( ! [X26] :
          ( ndr1_0
         => ( c1_1(X26)
            | c3_1(X26)
            | c0_1(X26) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c2_1(X25)
            | c0_1(X25)
            | c1_1(X25) ) )
      | hskp27 )
    & ( ! [X17] :
          ( ndr1_0
         => ( ~ c0_1(X17)
            | ~ c3_1(X17)
            | c1_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c1_1(X18)
            | c3_1(X18)
            | c2_1(X18) ) )
      | hskp8 )
    & ( ! [X66] :
          ( ndr1_0
         => ( ~ c1_1(X66)
            | ~ c3_1(X66)
            | c0_1(X66) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c0_1(X65)
            | ~ c1_1(X65)
            | c2_1(X65) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | ~ c3_1(X67)
            | ~ c0_1(X67) ) ) )
    & ( ( ndr1_0
        & ~ c0_1(a2140)
        & c2_1(a2140)
        & c3_1(a2140) )
      | ~ hskp22 )
    & ( ( ~ c2_1(a2070)
        & c3_1(a2070)
        & c0_1(a2070)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | c1_1(X23)
            | c2_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c1_1(X24)
            | c0_1(X24)
            | ~ c3_1(X24) ) )
      | hskp15 )
    & ( ! [X114] :
          ( ndr1_0
         => ( ~ c0_1(X114)
            | ~ c1_1(X114)
            | ~ c3_1(X114) ) )
      | ! [X112] :
          ( ndr1_0
         => ( c1_1(X112)
            | ~ c0_1(X112)
            | c3_1(X112) ) )
      | ! [X113] :
          ( ndr1_0
         => ( ~ c3_1(X113)
            | ~ c0_1(X113)
            | ~ c2_1(X113) ) ) )
    & ( ! [X110] :
          ( ndr1_0
         => ( c2_1(X110)
            | ~ c1_1(X110)
            | ~ c0_1(X110) ) )
      | hskp29
      | ! [X111] :
          ( ndr1_0
         => ( ~ c2_1(X111)
            | c0_1(X111)
            | c1_1(X111) ) ) )
    & ( ! [X73] :
          ( ndr1_0
         => ( ~ c0_1(X73)
            | ~ c3_1(X73)
            | c2_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c2_1(X74)
            | c0_1(X74)
            | ~ c1_1(X74) ) )
      | hskp9 )
    & ( ~ hskp12
      | ( ~ c2_1(a2095)
        & c1_1(a2095)
        & ~ c0_1(a2095)
        & ndr1_0 ) )
    & ( ( c1_1(a2073)
        & c0_1(a2073)
        & ndr1_0
        & c3_1(a2073) )
      | ~ hskp27 )
    & ( ~ hskp14
      | ( ~ c1_1(a2097)
        & ndr1_0
        & ~ c2_1(a2097)
        & ~ c0_1(a2097) ) )
    & ( ( ndr1_0
        & c0_1(a2069)
        & c3_1(a2069)
        & c2_1(a2069) )
      | ~ hskp26 )
    & ( ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c2_1(X49)
            | ~ c0_1(X49) ) )
      | hskp26
      | ! [X48] :
          ( ndr1_0
         => ( ~ c0_1(X48)
            | c1_1(X48)
            | c2_1(X48) ) ) )
    & ( ~ hskp29
      | ( c3_1(a2077)
        & ndr1_0
        & c2_1(a2077)
        & c1_1(a2077) ) )
    & ( hskp27
      | ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | ~ c2_1(X37)
            | ~ c3_1(X37) ) )
      | hskp29 )
    & ( ( c1_1(a2136)
        & ndr1_0
        & ~ c2_1(a2136)
        & c0_1(a2136) )
      | ~ hskp21 )
    & ( ! [X104] :
          ( ndr1_0
         => ( ~ c1_1(X104)
            | c3_1(X104)
            | c2_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c0_1(X105)
            | c1_1(X105)
            | ~ c3_1(X105) ) )
      | hskp17 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c0_1(X61)
            | ~ c2_1(X61)
            | c3_1(X61) ) )
      | hskp10
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | c1_1(X62)
            | ~ c2_1(X62) ) ) )
    & ( ( c3_1(a2068)
        & ~ c2_1(a2068)
        & ~ c0_1(a2068)
        & ndr1_0 )
      | ~ hskp0 )
    & ( ! [X7] :
          ( ndr1_0
         => ( ~ c1_1(X7)
            | ~ c2_1(X7)
            | c0_1(X7) ) )
      | hskp11
      | ! [X8] :
          ( ndr1_0
         => ( c3_1(X8)
            | c1_1(X8)
            | ~ c2_1(X8) ) ) )
    & ( hskp1
      | ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | c0_1(X28)
            | ~ c1_1(X28) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c3_1(X27)
            | ~ c2_1(X27)
            | c0_1(X27) ) ) )
    & ( ! [X21] :
          ( ndr1_0
         => ( ~ c2_1(X21)
            | ~ c0_1(X21)
            | ~ c1_1(X21) ) )
      | hskp7
      | hskp4 )
    & ( hskp26
      | ! [X102] :
          ( ndr1_0
         => ( ~ c0_1(X102)
            | ~ c2_1(X102)
            | ~ c1_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( c0_1(X103)
            | ~ c2_1(X103)
            | ~ c3_1(X103) ) ) )
    & ( hskp10
      | ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | ~ c0_1(X46)
            | c1_1(X46) ) )
      | hskp11 )
    & ( hskp17
      | ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | ~ c3_1(X75)
            | ~ c0_1(X75) ) )
      | hskp22 )
    & ( ! [X90] :
          ( ndr1_0
         => ( c2_1(X90)
            | c0_1(X90)
            | ~ c1_1(X90) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c3_1(X89)
            | c1_1(X89)
            | ~ c0_1(X89) ) )
      | hskp2 )
    & ( ! [X85] :
          ( ndr1_0
         => ( ~ c0_1(X85)
            | c1_1(X85)
            | c3_1(X85) ) )
      | hskp8
      | hskp1 )
    & ( hskp26
      | hskp18
      | ! [X0] :
          ( ndr1_0
         => ( c1_1(X0)
            | c2_1(X0)
            | ~ c3_1(X0) ) ) )
    & ( ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | ~ c1_1(X32)
            | ~ c2_1(X32) ) )
      | hskp8
      | ! [X31] :
          ( ndr1_0
         => ( ~ c1_1(X31)
            | c3_1(X31)
            | c0_1(X31) ) ) )
    & ( ( c0_1(a2078)
        & ~ c2_1(a2078)
        & ~ c1_1(a2078)
        & ndr1_0 )
      | ~ hskp6 )
    & ( hskp20
      | ! [X100] :
          ( ndr1_0
         => ( ~ c0_1(X100)
            | ~ c2_1(X100)
            | ~ c1_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c2_1(X101)
            | c1_1(X101)
            | ~ c3_1(X101) ) ) )
    & ( hskp5
      | hskp29
      | hskp3 )
    & ( ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c3_1(X10)
            | c0_1(X10) ) )
      | hskp11
      | hskp0 )
    & ( ! [X92] :
          ( ndr1_0
         => ( ~ c3_1(X92)
            | c0_1(X92)
            | ~ c2_1(X92) ) )
      | ! [X91] :
          ( ndr1_0
         => ( c2_1(X91)
            | ~ c0_1(X91)
            | c3_1(X91) ) )
      | hskp16 )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a2122)
        & ~ c3_1(a2122)
        & c2_1(a2122) ) )
    & ( ( c1_1(a2082)
        & ~ c0_1(a2082)
        & ndr1_0
        & c2_1(a2082) )
      | ~ hskp8 )
    & ( ( ~ c1_1(a2072)
        & ~ c3_1(a2072)
        & ndr1_0
        & ~ c0_1(a2072) )
      | ~ hskp3 )
    & ( ~ hskp10
      | ( ~ c1_1(a2087)
        & c2_1(a2087)
        & ndr1_0
        & ~ c3_1(a2087) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c0_1(a2172)
        & c1_1(a2172)
        & ~ c3_1(a2172) ) )
    & ( ~ hskp15
      | ( c0_1(a2099)
        & ~ c3_1(a2099)
        & ndr1_0
        & ~ c2_1(a2099) ) )
    & ( hskp24
      | hskp5
      | hskp23 )
    & ( ! [X5] :
          ( ndr1_0
         => ( ~ c0_1(X5)
            | ~ c1_1(X5)
            | c2_1(X5) ) )
      | hskp5
      | ! [X6] :
          ( ndr1_0
         => ( ~ c1_1(X6)
            | ~ c3_1(X6)
            | c2_1(X6) ) ) )
    & ( hskp2
      | ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | c0_1(X72)
            | c2_1(X72) ) )
      | hskp3 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c0_1(X64)
            | c2_1(X64)
            | c3_1(X64) ) )
      | hskp5
      | hskp4 )
    & ( ! [X43] :
          ( ndr1_0
         => ( c2_1(X43)
            | ~ c0_1(X43)
            | ~ c3_1(X43) ) )
      | hskp3
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | ~ c2_1(X42)
            | c1_1(X42) ) ) )
    & ( ! [X14] :
          ( ndr1_0
         => ( c1_1(X14)
            | ~ c3_1(X14)
            | c0_1(X14) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c2_1(X16)
            | ~ c1_1(X16)
            | c3_1(X16) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | ~ c2_1(X15)
            | c1_1(X15) ) ) )
    & ( ! [X78] :
          ( ndr1_0
         => ( ~ c2_1(X78)
            | ~ c3_1(X78)
            | c1_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( c3_1(X79)
            | ~ c0_1(X79)
            | c1_1(X79) ) )
      | hskp26 )
    & ( ! [X115] :
          ( ndr1_0
         => ( c1_1(X115)
            | ~ c3_1(X115)
            | c0_1(X115) ) )
      | ! [X116] :
          ( ndr1_0
         => ( ~ c3_1(X116)
            | ~ c0_1(X116)
            | c1_1(X116) ) )
      | hskp6 )
    & ( hskp16
      | ! [X70] :
          ( ndr1_0
         => ( c2_1(X70)
            | ~ c3_1(X70)
            | c1_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c2_1(X71)
            | ~ c0_1(X71)
            | c3_1(X71) ) ) )
    & ( ~ hskp28
      | ( c2_1(a2075)
        & c1_1(a2075)
        & c0_1(a2075)
        & ndr1_0 ) )
    & ( hskp18
      | hskp6
      | hskp5 )
    & ( ! [X118] :
          ( ndr1_0
         => ( c2_1(X118)
            | ~ c1_1(X118)
            | ~ c0_1(X118) ) )
      | hskp16
      | hskp21 )
    & ( ! [X80] :
          ( ndr1_0
         => ( c2_1(X80)
            | ~ c3_1(X80)
            | ~ c1_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c2_1(X81)
            | c0_1(X81)
            | c3_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | ~ c0_1(X82)
            | c2_1(X82) ) ) )
    & ( hskp27
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | c0_1(X99)
            | c2_1(X99) ) )
      | hskp7 )
    & ( ! [X29] :
          ( ndr1_0
         => ( ~ c2_1(X29)
            | c1_1(X29)
            | c3_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c1_1(X30)
            | c0_1(X30)
            | c2_1(X30) ) )
      | hskp8 )
    & ( hskp26
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | c1_1(X22)
            | ~ c0_1(X22) ) )
      | hskp5 )
    & ( hskp24
      | hskp12
      | hskp10 )
    & ( hskp11
      | ! [X93] :
          ( ndr1_0
         => ( c2_1(X93)
            | ~ c0_1(X93)
            | c1_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | ~ c2_1(X94)
            | c0_1(X94) ) ) )
    & ( ! [X98] :
          ( ndr1_0
         => ( c1_1(X98)
            | c2_1(X98)
            | c0_1(X98) ) )
      | hskp26
      | hskp1 )
    & ( ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c1_1(X4)
            | c2_1(X4) ) )
      | hskp0
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c3_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | ~ c1_1(X41)
            | ~ c3_1(X41) ) )
      | hskp0 )
    & ( hskp10
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | c0_1(X69)
            | c2_1(X69) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | ~ c0_1(X68)
            | ~ c3_1(X68) ) ) )
    & ( ! [X58] :
          ( ndr1_0
         => ( c1_1(X58)
            | c0_1(X58)
            | c2_1(X58) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c1_1(X56)
            | c2_1(X56)
            | c0_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( c2_1(X57)
            | c3_1(X57)
            | c1_1(X57) ) ) )
    & ( ~ hskp5
      | ( c3_1(a2076)
        & c1_1(a2076)
        & ndr1_0
        & ~ c0_1(a2076) ) )
    & ( ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c0_1(X54)
            | ~ c2_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c1_1(X55)
            | c0_1(X55)
            | c3_1(X55) ) )
      | hskp4 )
    & ( ~ hskp13
      | ( c2_1(a2096)
        & ndr1_0
        & ~ c1_1(a2096)
        & ~ c0_1(a2096) ) )
    & ( ! [X34] :
          ( ndr1_0
         => ( c3_1(X34)
            | c0_1(X34)
            | c1_1(X34) ) )
      | hskp4
      | ! [X33] :
          ( ndr1_0
         => ( ~ c2_1(X33)
            | c1_1(X33)
            | c3_1(X33) ) ) )
    & ( ~ hskp17
      | ( c2_1(a2110)
        & ndr1_0
        & ~ c1_1(a2110)
        & c0_1(a2110) ) )
    & ( ! [X52] :
          ( ndr1_0
         => ( c3_1(X52)
            | c1_1(X52)
            | ~ c2_1(X52) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c3_1(X50)
            | c2_1(X50)
            | c0_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c1_1(X51)
            | c2_1(X51)
            | ~ c3_1(X51) ) ) )
    & ( ! [X109] :
          ( ndr1_0
         => ( c3_1(X109)
            | ~ c0_1(X109)
            | ~ c2_1(X109) ) )
      | hskp4
      | ! [X108] :
          ( ndr1_0
         => ( ~ c0_1(X108)
            | ~ c3_1(X108)
            | c2_1(X108) ) ) )
    & ( hskp14
      | ! [X106] :
          ( ndr1_0
         => ( c1_1(X106)
            | c2_1(X106)
            | c3_1(X106) ) )
      | ! [X107] :
          ( ndr1_0
         => ( ~ c2_1(X107)
            | ~ c1_1(X107)
            | c0_1(X107) ) ) )
    & ( hskp18
      | hskp25
      | hskp12 )
    & ( hskp17
      | ! [X86] :
          ( ndr1_0
         => ( c2_1(X86)
            | ~ c0_1(X86)
            | ~ c1_1(X86) ) )
      | hskp20 )
    & ( ( ~ c1_1(a2104)
        & c3_1(a2104)
        & ~ c0_1(a2104)
        & ndr1_0 )
      | ~ hskp16 )
    & ( hskp22
      | ! [X9] :
          ( ndr1_0
         => ( c2_1(X9)
            | ~ c1_1(X9)
            | ~ c0_1(X9) ) ) )
    & ( hskp17
      | hskp2 )
    & ( ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c1_1(X2) ) )
      | hskp8
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | c1_1(X1)
            | c2_1(X1) ) ) )
    & ( hskp7
      | hskp15
      | hskp23 )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a2149)
        & c3_1(a2149)
        & ~ c1_1(a2149) ) )
    & ( hskp11
      | ! [X20] :
          ( ndr1_0
         => ( c3_1(X20)
            | c2_1(X20)
            | ~ c0_1(X20) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c1_1(X19)
            | ~ c2_1(X19)
            | ~ c0_1(X19) ) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( c2_1(X35)
            | c1_1(X35)
            | ~ c3_1(X35) ) )
      | hskp4
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | c0_1(X36)
            | c2_1(X36) ) ) )
    & ( hskp12
      | hskp13
      | ! [X97] :
          ( ndr1_0
         => ( c0_1(X97)
            | ~ c2_1(X97)
            | c3_1(X97) ) ) )
    & ( hskp7
      | hskp15
      | ! [X47] :
          ( ndr1_0
         => ( ~ c2_1(X47)
            | ~ c3_1(X47)
            | c1_1(X47) ) ) )
    & ( hskp12
      | ! [X84] :
          ( ndr1_0
         => ( ~ c2_1(X84)
            | ~ c1_1(X84)
            | c3_1(X84) ) )
      | ! [X83] :
          ( ndr1_0
         => ( c2_1(X83)
            | ~ c1_1(X83)
            | ~ c0_1(X83) ) ) )
    & ( ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | c2_1(X12)
            | c0_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c3_1(X13)
            | ~ c1_1(X13) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | c2_1(X11)
            | c3_1(X11) ) ) )
    & ( ~ hskp18
      | ( c1_1(a2116)
        & ~ c2_1(a2116)
        & ~ c3_1(a2116)
        & ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c2_1(a2130)
        & ~ c3_1(a2130)
        & ~ c1_1(a2130) )
      | ~ hskp20 )
    & ( hskp23
      | hskp1
      | hskp17 )
    & ( ( ~ c3_1(a2160)
        & ndr1_0
        & c2_1(a2160)
        & c1_1(a2160) )
      | ~ hskp24 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c2_1(X87)
            | ~ c0_1(X87)
            | ~ c1_1(X87) ) )
      | hskp9
      | ! [X88] :
          ( ndr1_0
         => ( ~ c1_1(X88)
            | c0_1(X88)
            | c2_1(X88) ) ) )
    & ( ( c2_1(a2084)
        & c3_1(a2084)
        & ndr1_0
        & ~ c1_1(a2084) )
      | ~ hskp9 )
    & ( ~ hskp4
      | ( c3_1(a2074)
        & c1_1(a2074)
        & ~ c2_1(a2074)
        & ndr1_0 ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c3_1(a2071)
        & c0_1(a2071)
        & c2_1(a2071) ) )
    & ( hskp7
      | ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | c0_1(X76)
            | ~ c3_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c0_1(X77)
            | ~ c1_1(X77)
            | ~ c3_1(X77) ) ) )
    & ( hskp16
      | ! [X53] :
          ( ndr1_0
         => ( c2_1(X53)
            | ~ c0_1(X53)
            | ~ c3_1(X53) ) )
      | hskp7 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( ( c1_1(a2079)
            & ~ c3_1(a2079)
            & ndr1_0
            & c0_1(a2079) )
          | ~ hskp7 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | ~ c0_1(X45)
                | c3_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | c2_1(X44)
                | ~ c3_1(X44) ) )
          | hskp3 )
        & ( hskp28
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | ~ c3_1(X95)
                | c0_1(X95) ) )
          | hskp4 )
        & ( hskp27
          | hskp5
          | hskp23 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | c1_1(X63)
                | c3_1(X63) ) )
          | hskp28
          | hskp5 )
        & ( ! [X117] :
              ( ndr1_0
             => ( c2_1(X117)
                | c3_1(X117)
                | c1_1(X117) ) )
          | hskp1
          | hskp17 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | ~ c2_1(X40)
                | c1_1(X40) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | ~ c3_1(X38)
                | ~ c2_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | c1_1(X39)
                | ~ c2_1(X39) ) ) )
        & ( hskp27
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | c0_1(X60)
                | ~ c3_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | c1_1(X59)
                | ~ c3_1(X59) ) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c0_1(a2093)
            & ~ c1_1(a2093)
            & ~ c3_1(a2093) ) )
        & ( ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | c3_1(X96)
                | ~ c0_1(X96) ) )
          | hskp11
          | hskp19 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c1_1(X26)
                | c3_1(X26)
                | c0_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | c0_1(X25)
                | c1_1(X25) ) )
          | hskp27 )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c0_1(X17)
                | ~ c3_1(X17)
                | c1_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | c3_1(X18)
                | c2_1(X18) ) )
          | hskp8 )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | ~ c3_1(X66)
                | c0_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | ~ c1_1(X65)
                | c2_1(X65) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | ~ c3_1(X67)
                | ~ c0_1(X67) ) ) )
        & ( ( ndr1_0
            & ~ c0_1(a2140)
            & c2_1(a2140)
            & c3_1(a2140) )
          | ~ hskp22 )
        & ( ( ~ c2_1(a2070)
            & c3_1(a2070)
            & c0_1(a2070)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | c1_1(X23)
                | c2_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | c0_1(X24)
                | ~ c3_1(X24) ) )
          | hskp15 )
        & ( ! [X114] :
              ( ndr1_0
             => ( ~ c0_1(X114)
                | ~ c1_1(X114)
                | ~ c3_1(X114) ) )
          | ! [X112] :
              ( ndr1_0
             => ( c1_1(X112)
                | ~ c0_1(X112)
                | c3_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c0_1(X113)
                | ~ c2_1(X113) ) ) )
        & ( ! [X110] :
              ( ndr1_0
             => ( c2_1(X110)
                | ~ c1_1(X110)
                | ~ c0_1(X110) ) )
          | hskp29
          | ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | c0_1(X111)
                | c1_1(X111) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | ~ c3_1(X73)
                | c2_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c2_1(X74)
                | c0_1(X74)
                | ~ c1_1(X74) ) )
          | hskp9 )
        & ( ~ hskp12
          | ( ~ c2_1(a2095)
            & c1_1(a2095)
            & ~ c0_1(a2095)
            & ndr1_0 ) )
        & ( ( c1_1(a2073)
            & c0_1(a2073)
            & ndr1_0
            & c3_1(a2073) )
          | ~ hskp27 )
        & ( ~ hskp14
          | ( ~ c1_1(a2097)
            & ndr1_0
            & ~ c2_1(a2097)
            & ~ c0_1(a2097) ) )
        & ( ( ndr1_0
            & c0_1(a2069)
            & c3_1(a2069)
            & c2_1(a2069) )
          | ~ hskp26 )
        & ( ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c2_1(X49)
                | ~ c0_1(X49) ) )
          | hskp26
          | ! [X48] :
              ( ndr1_0
             => ( ~ c0_1(X48)
                | c1_1(X48)
                | c2_1(X48) ) ) )
        & ( ~ hskp29
          | ( c3_1(a2077)
            & ndr1_0
            & c2_1(a2077)
            & c1_1(a2077) ) )
        & ( hskp27
          | ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | ~ c2_1(X37)
                | ~ c3_1(X37) ) )
          | hskp29 )
        & ( ( c1_1(a2136)
            & ndr1_0
            & ~ c2_1(a2136)
            & c0_1(a2136) )
          | ~ hskp21 )
        & ( ! [X104] :
              ( ndr1_0
             => ( ~ c1_1(X104)
                | c3_1(X104)
                | c2_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | c1_1(X105)
                | ~ c3_1(X105) ) )
          | hskp17 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c2_1(X61)
                | c3_1(X61) ) )
          | hskp10
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | c1_1(X62)
                | ~ c2_1(X62) ) ) )
        & ( ( c3_1(a2068)
            & ~ c2_1(a2068)
            & ~ c0_1(a2068)
            & ndr1_0 )
          | ~ hskp0 )
        & ( ! [X7] :
              ( ndr1_0
             => ( ~ c1_1(X7)
                | ~ c2_1(X7)
                | c0_1(X7) ) )
          | hskp11
          | ! [X8] :
              ( ndr1_0
             => ( c3_1(X8)
                | c1_1(X8)
                | ~ c2_1(X8) ) ) )
        & ( hskp1
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | c0_1(X28)
                | ~ c1_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | ~ c2_1(X27)
                | c0_1(X27) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c0_1(X21)
                | ~ c1_1(X21) ) )
          | hskp7
          | hskp4 )
        & ( hskp26
          | ! [X102] :
              ( ndr1_0
             => ( ~ c0_1(X102)
                | ~ c2_1(X102)
                | ~ c1_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( c0_1(X103)
                | ~ c2_1(X103)
                | ~ c3_1(X103) ) ) )
        & ( hskp10
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c0_1(X46)
                | c1_1(X46) ) )
          | hskp11 )
        & ( hskp17
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | ~ c3_1(X75)
                | ~ c0_1(X75) ) )
          | hskp22 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | c0_1(X90)
                | ~ c1_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | c1_1(X89)
                | ~ c0_1(X89) ) )
          | hskp2 )
        & ( ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c1_1(X85)
                | c3_1(X85) ) )
          | hskp8
          | hskp1 )
        & ( hskp26
          | hskp18
          | ! [X0] :
              ( ndr1_0
             => ( c1_1(X0)
                | c2_1(X0)
                | ~ c3_1(X0) ) ) )
        & ( ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c1_1(X32)
                | ~ c2_1(X32) ) )
          | hskp8
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c3_1(X31)
                | c0_1(X31) ) ) )
        & ( ( c0_1(a2078)
            & ~ c2_1(a2078)
            & ~ c1_1(a2078)
            & ndr1_0 )
          | ~ hskp6 )
        & ( hskp20
          | ! [X100] :
              ( ndr1_0
             => ( ~ c0_1(X100)
                | ~ c2_1(X100)
                | ~ c1_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | c1_1(X101)
                | ~ c3_1(X101) ) ) )
        & ( hskp5
          | hskp29
          | hskp3 )
        & ( ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c3_1(X10)
                | c0_1(X10) ) )
          | hskp11
          | hskp0 )
        & ( ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | c0_1(X92)
                | ~ c2_1(X92) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | ~ c0_1(X91)
                | c3_1(X91) ) )
          | hskp16 )
        & ( ~ hskp19
          | ( ndr1_0
            & ~ c0_1(a2122)
            & ~ c3_1(a2122)
            & c2_1(a2122) ) )
        & ( ( c1_1(a2082)
            & ~ c0_1(a2082)
            & ndr1_0
            & c2_1(a2082) )
          | ~ hskp8 )
        & ( ( ~ c1_1(a2072)
            & ~ c3_1(a2072)
            & ndr1_0
            & ~ c0_1(a2072) )
          | ~ hskp3 )
        & ( ~ hskp10
          | ( ~ c1_1(a2087)
            & c2_1(a2087)
            & ndr1_0
            & ~ c3_1(a2087) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & ~ c0_1(a2172)
            & c1_1(a2172)
            & ~ c3_1(a2172) ) )
        & ( ~ hskp15
          | ( c0_1(a2099)
            & ~ c3_1(a2099)
            & ndr1_0
            & ~ c2_1(a2099) ) )
        & ( hskp24
          | hskp5
          | hskp23 )
        & ( ! [X5] :
              ( ndr1_0
             => ( ~ c0_1(X5)
                | ~ c1_1(X5)
                | c2_1(X5) ) )
          | hskp5
          | ! [X6] :
              ( ndr1_0
             => ( ~ c1_1(X6)
                | ~ c3_1(X6)
                | c2_1(X6) ) ) )
        & ( hskp2
          | ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c0_1(X72)
                | c2_1(X72) ) )
          | hskp3 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | c2_1(X64)
                | c3_1(X64) ) )
          | hskp5
          | hskp4 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c2_1(X43)
                | ~ c0_1(X43)
                | ~ c3_1(X43) ) )
          | hskp3
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c2_1(X42)
                | c1_1(X42) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( c1_1(X14)
                | ~ c3_1(X14)
                | c0_1(X14) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c2_1(X16)
                | ~ c1_1(X16)
                | c3_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c2_1(X15)
                | c1_1(X15) ) ) )
        & ( ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | ~ c3_1(X78)
                | c1_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c3_1(X79)
                | ~ c0_1(X79)
                | c1_1(X79) ) )
          | hskp26 )
        & ( ! [X115] :
              ( ndr1_0
             => ( c1_1(X115)
                | ~ c3_1(X115)
                | c0_1(X115) ) )
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c0_1(X116)
                | c1_1(X116) ) )
          | hskp6 )
        & ( hskp16
          | ! [X70] :
              ( ndr1_0
             => ( c2_1(X70)
                | ~ c3_1(X70)
                | c1_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | ~ c0_1(X71)
                | c3_1(X71) ) ) )
        & ( ~ hskp28
          | ( c2_1(a2075)
            & c1_1(a2075)
            & c0_1(a2075)
            & ndr1_0 ) )
        & ( hskp18
          | hskp6
          | hskp5 )
        & ( ! [X118] :
              ( ndr1_0
             => ( c2_1(X118)
                | ~ c1_1(X118)
                | ~ c0_1(X118) ) )
          | hskp16
          | hskp21 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c2_1(X80)
                | ~ c3_1(X80)
                | ~ c1_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | c0_1(X81)
                | c3_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c0_1(X82)
                | c2_1(X82) ) ) )
        & ( hskp27
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | c0_1(X99)
                | c2_1(X99) ) )
          | hskp7 )
        & ( ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | c1_1(X29)
                | c3_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c0_1(X30)
                | c2_1(X30) ) )
          | hskp8 )
        & ( hskp26
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c1_1(X22)
                | ~ c0_1(X22) ) )
          | hskp5 )
        & ( hskp24
          | hskp12
          | hskp10 )
        & ( hskp11
          | ! [X93] :
              ( ndr1_0
             => ( c2_1(X93)
                | ~ c0_1(X93)
                | c1_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | ~ c2_1(X94)
                | c0_1(X94) ) ) )
        & ( ! [X98] :
              ( ndr1_0
             => ( c1_1(X98)
                | c2_1(X98)
                | c0_1(X98) ) )
          | hskp26
          | hskp1 )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c2_1(X4) ) )
          | hskp0
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c3_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | ~ c1_1(X41)
                | ~ c3_1(X41) ) )
          | hskp0 )
        & ( hskp10
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | c0_1(X69)
                | c2_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c0_1(X68)
                | ~ c3_1(X68) ) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | c0_1(X58)
                | c2_1(X58) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | c2_1(X56)
                | c0_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c2_1(X57)
                | c3_1(X57)
                | c1_1(X57) ) ) )
        & ( ~ hskp5
          | ( c3_1(a2076)
            & c1_1(a2076)
            & ndr1_0
            & ~ c0_1(a2076) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c0_1(X54)
                | ~ c2_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c1_1(X55)
                | c0_1(X55)
                | c3_1(X55) ) )
          | hskp4 )
        & ( ~ hskp13
          | ( c2_1(a2096)
            & ndr1_0
            & ~ c1_1(a2096)
            & ~ c0_1(a2096) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( c3_1(X34)
                | c0_1(X34)
                | c1_1(X34) ) )
          | hskp4
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | c1_1(X33)
                | c3_1(X33) ) ) )
        & ( ~ hskp17
          | ( c2_1(a2110)
            & ndr1_0
            & ~ c1_1(a2110)
            & c0_1(a2110) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | c1_1(X52)
                | ~ c2_1(X52) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c3_1(X50)
                | c2_1(X50)
                | c0_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | c2_1(X51)
                | ~ c3_1(X51) ) ) )
        & ( ! [X109] :
              ( ndr1_0
             => ( c3_1(X109)
                | ~ c0_1(X109)
                | ~ c2_1(X109) ) )
          | hskp4
          | ! [X108] :
              ( ndr1_0
             => ( ~ c0_1(X108)
                | ~ c3_1(X108)
                | c2_1(X108) ) ) )
        & ( hskp14
          | ! [X106] :
              ( ndr1_0
             => ( c1_1(X106)
                | c2_1(X106)
                | c3_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | ~ c1_1(X107)
                | c0_1(X107) ) ) )
        & ( hskp18
          | hskp25
          | hskp12 )
        & ( hskp17
          | ! [X86] :
              ( ndr1_0
             => ( c2_1(X86)
                | ~ c0_1(X86)
                | ~ c1_1(X86) ) )
          | hskp20 )
        & ( ( ~ c1_1(a2104)
            & c3_1(a2104)
            & ~ c0_1(a2104)
            & ndr1_0 )
          | ~ hskp16 )
        & ( hskp22
          | ! [X9] :
              ( ndr1_0
             => ( c2_1(X9)
                | ~ c1_1(X9)
                | ~ c0_1(X9) ) ) )
        & ( hskp17
          | hskp2 )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c1_1(X2) ) )
          | hskp8
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | c1_1(X1)
                | c2_1(X1) ) ) )
        & ( hskp7
          | hskp15
          | hskp23 )
        & ( ~ hskp23
          | ( ndr1_0
            & c0_1(a2149)
            & c3_1(a2149)
            & ~ c1_1(a2149) ) )
        & ( hskp11
          | ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | c2_1(X20)
                | ~ c0_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | ~ c2_1(X19)
                | ~ c0_1(X19) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c2_1(X35)
                | c1_1(X35)
                | ~ c3_1(X35) ) )
          | hskp4
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c0_1(X36)
                | c2_1(X36) ) ) )
        & ( hskp12
          | hskp13
          | ! [X97] :
              ( ndr1_0
             => ( c0_1(X97)
                | ~ c2_1(X97)
                | c3_1(X97) ) ) )
        & ( hskp7
          | hskp15
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | ~ c3_1(X47)
                | c1_1(X47) ) ) )
        & ( hskp12
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c1_1(X84)
                | c3_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | ~ c1_1(X83)
                | ~ c0_1(X83) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | c2_1(X12)
                | c0_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c3_1(X13)
                | ~ c1_1(X13) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | c2_1(X11)
                | c3_1(X11) ) ) )
        & ( ~ hskp18
          | ( c1_1(a2116)
            & ~ c2_1(a2116)
            & ~ c3_1(a2116)
            & ndr1_0 ) )
        & ( ( ndr1_0
            & ~ c2_1(a2130)
            & ~ c3_1(a2130)
            & ~ c1_1(a2130) )
          | ~ hskp20 )
        & ( hskp23
          | hskp1
          | hskp17 )
        & ( ( ~ c3_1(a2160)
            & ndr1_0
            & c2_1(a2160)
            & c1_1(a2160) )
          | ~ hskp24 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c2_1(X87)
                | ~ c0_1(X87)
                | ~ c1_1(X87) ) )
          | hskp9
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | c0_1(X88)
                | c2_1(X88) ) ) )
        & ( ( c2_1(a2084)
            & c3_1(a2084)
            & ndr1_0
            & ~ c1_1(a2084) )
          | ~ hskp9 )
        & ( ~ hskp4
          | ( c3_1(a2074)
            & c1_1(a2074)
            & ~ c2_1(a2074)
            & ndr1_0 ) )
        & ( ~ hskp2
          | ( ndr1_0
            & ~ c3_1(a2071)
            & c0_1(a2071)
            & c2_1(a2071) ) )
        & ( hskp7
          | ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c0_1(X76)
                | ~ c3_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | ~ c1_1(X77)
                | ~ c3_1(X77) ) ) )
        & ( hskp16
          | ! [X53] :
              ( ndr1_0
             => ( c2_1(X53)
                | ~ c0_1(X53)
                | ~ c3_1(X53) ) )
          | hskp7 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp18
          | ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | c2_1(X84)
                | ~ c3_1(X84) ) )
          | hskp26 )
        & ( ( ~ c1_1(a2072)
            & ~ c3_1(a2072)
            & ndr1_0
            & ~ c0_1(a2072) )
          | ~ hskp3 )
        & ( ( c1_1(a2136)
            & ndr1_0
            & ~ c2_1(a2136)
            & c0_1(a2136) )
          | ~ hskp21 )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c2_1(X82)
                | c1_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | ~ c3_1(X83)
                | ~ c2_1(X83) ) )
          | hskp8 )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c0_1(X4)
                | ~ c3_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c1_1(X3)
                | c2_1(X3)
                | c0_1(X3) ) )
          | hskp0 )
        & ( ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | ~ c0_1(X107)
                | c2_1(X107) ) )
          | hskp5
          | ! [X108] :
              ( ndr1_0
             => ( c2_1(X108)
                | ~ c3_1(X108)
                | ~ c1_1(X108) ) ) )
        & ( ~ hskp5
          | ( c3_1(a2076)
            & c1_1(a2076)
            & ndr1_0
            & ~ c0_1(a2076) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | ~ c2_1(X60)
                | c0_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c1_1(X61)
                | c3_1(X61)
                | ~ c2_1(X61) ) )
          | hskp11 )
        & ( ! [X113] :
              ( ndr1_0
             => ( ~ c1_1(X113)
                | c2_1(X113)
                | ~ c0_1(X113) ) )
          | hskp22 )
        & ( ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | c0_1(X76)
                | ~ c3_1(X76) ) )
          | hskp11
          | hskp0 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c3_1(X38)
                | c2_1(X38)
                | ~ c1_1(X38) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | c0_1(X37)
                | c3_1(X37) ) ) )
        & ( ~ hskp28
          | ( c2_1(a2075)
            & c1_1(a2075)
            & c0_1(a2075)
            & ndr1_0 ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( c1_1(X19)
                | ~ c3_1(X19)
                | c0_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | c1_1(X20)
                | ~ c2_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | c2_1(X21)
                | c3_1(X21) ) ) )
        & ( hskp8
          | ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | ~ c3_1(X96)
                | c1_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | c3_1(X97)
                | ~ c1_1(X97) ) ) )
        & ( ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | ~ c0_1(X106)
                | ~ c1_1(X106) ) )
          | ! [X105] :
              ( ndr1_0
             => ( c2_1(X105)
                | ~ c0_1(X105)
                | c3_1(X105) ) )
          | hskp11 )
        & ( hskp4
          | ! [X117] :
              ( ndr1_0
             => ( ~ c2_1(X117)
                | ~ c1_1(X117)
                | ~ c0_1(X117) ) )
          | hskp7 )
        & ( ! [X98] :
              ( ndr1_0
             => ( ~ c0_1(X98)
                | c1_1(X98)
                | ~ c3_1(X98) ) )
          | hskp26
          | hskp5 )
        & ( ~ hskp25
          | ( ndr1_0
            & ~ c0_1(a2172)
            & c1_1(a2172)
            & ~ c3_1(a2172) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | c2_1(X63)
                | c1_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c1_1(X62)
                | ~ c3_1(X62) ) )
          | hskp15 )
        & ( ~ hskp4
          | ( c3_1(a2074)
            & c1_1(a2074)
            & ~ c2_1(a2074)
            & ndr1_0 ) )
        & ( hskp24
          | hskp12
          | hskp10 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | ~ c2_1(X8)
                | c1_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c1_1(X7)
                | c0_1(X7)
                | c3_1(X7) ) )
          | hskp27 )
        & ( ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | c0_1(X49)
                | ~ c2_1(X49) ) )
          | hskp1 )
        & ( ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | c1_1(X29)
                | c3_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) )
          | hskp8 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c3_1(X46)
                | c0_1(X46)
                | ~ c1_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | ~ c2_1(X47)
                | ~ c3_1(X47) ) )
          | hskp8 )
        & ( ~ hskp2
          | ( ndr1_0
            & ~ c3_1(a2071)
            & c0_1(a2071)
            & c2_1(a2071) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | c1_1(X10)
                | c3_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | c3_1(X9) ) )
          | hskp4 )
        & ( hskp18
          | hskp6
          | hskp5 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c1_1(X40)
                | c2_1(X40)
                | ~ c3_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | ~ c3_1(X39) ) )
          | hskp4 )
        & ( hskp27
          | hskp29
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c2_1(X75)
                | c0_1(X75) ) ) )
        & ( ( ndr1_0
            & c0_1(a2069)
            & c3_1(a2069)
            & c2_1(a2069) )
          | ~ hskp26 )
        & ( ~ hskp15
          | ( c0_1(a2099)
            & ~ c3_1(a2099)
            & ndr1_0
            & ~ c2_1(a2099) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c0_1(a2093)
            & ~ c1_1(a2093)
            & ~ c3_1(a2093) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | c0_1(X13)
                | ~ c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | c1_1(X14)
                | ~ c2_1(X14) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c1_1(X12)
                | ~ c2_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp0
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c0_1(X68)
                | ~ c1_1(X68) ) ) )
        & ( ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | c1_1(X100)
                | ~ c2_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c0_1(X101)
                | c2_1(X101)
                | ~ c3_1(X101) ) )
          | hskp3 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c2_1(X88)
                | ~ c3_1(X88)
                | ~ c1_1(X88) ) )
          | hskp3
          | ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | c1_1(X87)
                | ~ c0_1(X87) ) ) )
        & ( hskp11
          | hskp10
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c0_1(X99)
                | c1_1(X99) ) ) )
        & ( hskp7
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | c1_1(X104)
                | ~ c3_1(X104) ) )
          | hskp15 )
        & ( ( ndr1_0
            & ~ c0_1(a2140)
            & c2_1(a2140)
            & c3_1(a2140) )
          | ~ hskp22 )
        & ( ~ hskp18
          | ( c1_1(a2116)
            & ~ c2_1(a2116)
            & ~ c3_1(a2116)
            & ndr1_0 ) )
        & ( ( c1_1(a2079)
            & ~ c3_1(a2079)
            & ndr1_0
            & c0_1(a2079) )
          | ~ hskp7 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c2_1(X78)
                | ~ c0_1(X78)
                | c1_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c3_1(X79)
                | ~ c0_1(X79) ) )
          | hskp26 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | c0_1(X24)
                | c2_1(X24) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | c2_1(X26)
                | ~ c3_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c1_1(X25)
                | c3_1(X25)
                | ~ c2_1(X25) ) ) )
        & ( hskp7
          | ! [X116] :
              ( ndr1_0
             => ( c2_1(X116)
                | ~ c3_1(X116)
                | ~ c0_1(X116) ) )
          | hskp16 )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c0_1(X45)
                | ~ c3_1(X45)
                | ~ c2_1(X45) ) )
          | hskp4
          | ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | ~ c1_1(X44)
                | c3_1(X44) ) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( c2_1(X1)
                | ~ c1_1(X1)
                | c0_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c3_1(X2)
                | c2_1(X2)
                | c1_1(X2) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) ) )
        & ( ( c1_1(a2082)
            & ~ c0_1(a2082)
            & ndr1_0
            & c2_1(a2082) )
          | ~ hskp8 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | ~ c3_1(X70)
                | ~ c2_1(X70) ) )
          | hskp27
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c2_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp24
          | hskp5
          | hskp23 )
        & ( ~ hskp29
          | ( c3_1(a2077)
            & ndr1_0
            & c2_1(a2077)
            & c1_1(a2077) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | ~ c2_1(X52)
                | c0_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | c1_1(X53)
                | ~ c2_1(X53) ) )
          | hskp10 )
        & ( hskp5
          | hskp29
          | hskp3 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | c3_1(X11) ) )
          | hskp5
          | hskp28 )
        & ( ( c1_1(a2073)
            & c0_1(a2073)
            & ndr1_0
            & c3_1(a2073) )
          | ~ hskp27 )
        & ( hskp4
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | c0_1(X27)
                | c2_1(X27) ) )
          | hskp5 )
        & ( ~ hskp13
          | ( c2_1(a2096)
            & ndr1_0
            & ~ c1_1(a2096)
            & ~ c0_1(a2096) ) )
        & ( ~ hskp12
          | ( ~ c2_1(a2095)
            & c1_1(a2095)
            & ~ c0_1(a2095)
            & ndr1_0 ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | c2_1(X66)
                | ~ c0_1(X66) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | ~ c3_1(X64)
                | c0_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | ~ c0_1(X65)
                | ~ c3_1(X65) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c3_1(X42)
                | ~ c0_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | ~ c3_1(X41) ) )
          | hskp10 )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) )
          | hskp16
          | ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | ~ c0_1(X81)
                | ~ c2_1(X81) ) ) )
        & ( ( ~ c3_1(a2160)
            & ndr1_0
            & c2_1(a2160)
            & c1_1(a2160) )
          | ~ hskp24 )
        & ( ( c2_1(a2084)
            & c3_1(a2084)
            & ndr1_0
            & ~ c1_1(a2084) )
          | ~ hskp9 )
        & ( ~ hskp17
          | ( c2_1(a2110)
            & ndr1_0
            & ~ c1_1(a2110)
            & c0_1(a2110) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & ~ c0_1(a2122)
            & ~ c3_1(a2122)
            & c2_1(a2122) ) )
        & ( hskp3
          | hskp2
          | ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c2_1(X6) ) ) )
        & ( hskp7
          | hskp15
          | hskp23 )
        & ( hskp9
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c0_1(X35)
                | c2_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | ~ c1_1(X34)
                | c2_1(X34) ) ) )
        & ( hskp17
          | hskp22
          | ! [X118] :
              ( ndr1_0
             => ( ~ c3_1(X118)
                | ~ c0_1(X118)
                | ~ c1_1(X118) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( c1_1(X22)
                | c0_1(X22)
                | ~ c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | ~ c3_1(X23)
                | ~ c0_1(X23) ) )
          | hskp7 )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c2_1(X86)
                | c1_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | ~ c0_1(X85)
                | c3_1(X85) ) )
          | hskp26 )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | c2_1(X56)
                | ~ c1_1(X56) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | c0_1(X54)
                | c3_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | c2_1(X55)
                | ~ c0_1(X55) ) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c0_1(a2149)
            & c3_1(a2149)
            & ~ c1_1(a2149) ) )
        & ( ! [X109] :
              ( ndr1_0
             => ( c2_1(X109)
                | ~ c1_1(X109)
                | ~ c0_1(X109) ) )
          | hskp12
          | ! [X110] :
              ( ndr1_0
             => ( ~ c1_1(X110)
                | c3_1(X110)
                | ~ c2_1(X110) ) ) )
        & ( hskp8
          | hskp1
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | c3_1(X92)
                | c1_1(X92) ) ) )
        & ( hskp17
          | hskp20
          | ! [X112] :
              ( ndr1_0
             => ( ~ c0_1(X112)
                | ~ c1_1(X112)
                | c2_1(X112) ) ) )
        & ( ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | c2_1(X33)
                | ~ c1_1(X33) ) )
          | hskp9
          | ! [X32] :
              ( ndr1_0
             => ( c2_1(X32)
                | ~ c1_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp27
          | hskp5
          | hskp23 )
        & ( ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | ~ c3_1(X31)
                | c1_1(X31) ) )
          | hskp2
          | ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | ~ c1_1(X30)
                | c2_1(X30) ) ) )
        & ( ( ~ c1_1(a2104)
            & c3_1(a2104)
            & ~ c0_1(a2104)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | c3_1(X72)
                | c2_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | c0_1(X71)
                | ~ c3_1(X71) ) )
          | hskp16 )
        & ( hskp23
          | hskp1
          | hskp17 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | ~ c0_1(X51)
                | c2_1(X51) ) )
          | hskp11
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | c3_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp4
          | hskp28
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | ~ c3_1(X67)
                | c0_1(X67) ) ) )
        & ( ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | c1_1(X93)
                | ~ c0_1(X93) ) )
          | hskp19
          | hskp11 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c3_1(X57)
                | ~ c2_1(X57)
                | c0_1(X57) ) )
          | hskp13
          | hskp12 )
        & ( hskp1
          | ! [X5] :
              ( ndr1_0
             => ( c1_1(X5)
                | c0_1(X5)
                | c2_1(X5) ) )
          | hskp26 )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) )
          | hskp7
          | hskp27 )
        & ( hskp20
          | ! [X103] :
              ( ndr1_0
             => ( ~ c1_1(X103)
                | ~ c0_1(X103)
                | ~ c2_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( c1_1(X102)
                | ~ c3_1(X102)
                | ~ c2_1(X102) ) ) )
        & ( hskp17
          | hskp2 )
        & ( ( c3_1(a2068)
            & ~ c2_1(a2068)
            & ~ c0_1(a2068)
            & ndr1_0 )
          | ~ hskp0 )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | ~ c0_1(X74)
                | ~ c2_1(X74) ) )
          | hskp26
          | ! [X73] :
              ( ndr1_0
             => ( c0_1(X73)
                | ~ c2_1(X73)
                | ~ c3_1(X73) ) ) )
        & ( ~ hskp10
          | ( ~ c1_1(a2087)
            & c2_1(a2087)
            & ndr1_0
            & ~ c3_1(a2087) ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | c3_1(X95)
                | c2_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c0_1(X94)
                | c1_1(X94)
                | ~ c3_1(X94) ) )
          | hskp17 )
        & ( hskp18
          | hskp25
          | hskp12 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c3_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c2_1(X58)
                | ~ c1_1(X58) ) )
          | hskp14 )
        & ( ( ~ c2_1(a2070)
            & c3_1(a2070)
            & c0_1(a2070)
            & ndr1_0 )
          | ~ hskp1 )
        & ( hskp4
          | ! [X114] :
              ( ndr1_0
             => ( ~ c0_1(X114)
                | ~ c3_1(X114)
                | c2_1(X114) ) )
          | ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | c3_1(X115)
                | ~ c0_1(X115) ) ) )
        & ( ~ hskp14
          | ( ~ c1_1(a2097)
            & ndr1_0
            & ~ c2_1(a2097)
            & ~ c0_1(a2097) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( c2_1(X16)
                | ~ c1_1(X16)
                | ~ c0_1(X16) ) )
          | hskp29
          | ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | ~ c2_1(X15) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | c1_1(X89)
                | ~ c0_1(X89) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | ~ c3_1(X91)
                | ~ c2_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | ~ c3_1(X90)
                | ~ c0_1(X90) ) ) )
        & ( ( c0_1(a2078)
            & ~ c2_1(a2078)
            & ~ c1_1(a2078)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | c0_1(X17)
                | c1_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c1_1(X18)
                | ~ c0_1(X18)
                | ~ c3_1(X18) ) )
          | hskp6 )
        & ( ( ndr1_0
            & ~ c2_1(a2130)
            & ~ c3_1(a2130)
            & ~ c1_1(a2130) )
          | ~ hskp20 )
        & ( hskp17
          | ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | c1_1(X77)
                | c2_1(X77) ) )
          | hskp1 )
        & ( ! [X111] :
              ( ndr1_0
             => ( ~ c0_1(X111)
                | c2_1(X111)
                | ~ c1_1(X111) ) )
          | hskp16
          | hskp21 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp18
        | ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | c2_1(X84)
              | ~ c3_1(X84) ) )
        | hskp26 )
      & ( ( ~ c1_1(a2072)
          & ~ c3_1(a2072)
          & ndr1_0
          & ~ c0_1(a2072) )
        | ~ hskp3 )
      & ( ( c1_1(a2136)
          & ndr1_0
          & ~ c2_1(a2136)
          & c0_1(a2136) )
        | ~ hskp21 )
      & ( ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | c2_1(X82)
              | c1_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c1_1(X83)
              | ~ c3_1(X83)
              | ~ c2_1(X83) ) )
        | hskp8 )
      & ( ! [X4] :
            ( ndr1_0
           => ( ~ c2_1(X4)
              | ~ c0_1(X4)
              | ~ c3_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c1_1(X3)
              | c2_1(X3)
              | c0_1(X3) ) )
        | hskp0 )
      & ( ! [X107] :
            ( ndr1_0
           => ( ~ c1_1(X107)
              | ~ c0_1(X107)
              | c2_1(X107) ) )
        | hskp5
        | ! [X108] :
            ( ndr1_0
           => ( c2_1(X108)
              | ~ c3_1(X108)
              | ~ c1_1(X108) ) ) )
      & ( ~ hskp5
        | ( c3_1(a2076)
          & c1_1(a2076)
          & ndr1_0
          & ~ c0_1(a2076) ) )
      & ( ! [X60] :
            ( ndr1_0
           => ( ~ c1_1(X60)
              | ~ c2_1(X60)
              | c0_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c1_1(X61)
              | c3_1(X61)
              | ~ c2_1(X61) ) )
        | hskp11 )
      & ( ! [X113] :
            ( ndr1_0
           => ( ~ c1_1(X113)
              | c2_1(X113)
              | ~ c0_1(X113) ) )
        | hskp22 )
      & ( ! [X76] :
            ( ndr1_0
           => ( ~ c2_1(X76)
              | c0_1(X76)
              | ~ c3_1(X76) ) )
        | hskp11
        | hskp0 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c3_1(X38)
              | c2_1(X38)
              | ~ c1_1(X38) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c1_1(X37)
              | c0_1(X37)
              | c3_1(X37) ) ) )
      & ( ~ hskp28
        | ( c2_1(a2075)
          & c1_1(a2075)
          & c0_1(a2075)
          & ndr1_0 ) )
      & ( ! [X19] :
            ( ndr1_0
           => ( c1_1(X19)
              | ~ c3_1(X19)
              | c0_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | c1_1(X20)
              | ~ c2_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c1_1(X21)
              | c2_1(X21)
              | c3_1(X21) ) ) )
      & ( hskp8
        | ! [X96] :
            ( ndr1_0
           => ( ~ c0_1(X96)
              | ~ c3_1(X96)
              | c1_1(X96) ) )
        | ! [X97] :
            ( ndr1_0
           => ( c2_1(X97)
              | c3_1(X97)
              | ~ c1_1(X97) ) ) )
      & ( ! [X106] :
            ( ndr1_0
           => ( ~ c2_1(X106)
              | ~ c0_1(X106)
              | ~ c1_1(X106) ) )
        | ! [X105] :
            ( ndr1_0
           => ( c2_1(X105)
              | ~ c0_1(X105)
              | c3_1(X105) ) )
        | hskp11 )
      & ( hskp4
        | ! [X117] :
            ( ndr1_0
           => ( ~ c2_1(X117)
              | ~ c1_1(X117)
              | ~ c0_1(X117) ) )
        | hskp7 )
      & ( ! [X98] :
            ( ndr1_0
           => ( ~ c0_1(X98)
              | c1_1(X98)
              | ~ c3_1(X98) ) )
        | hskp26
        | hskp5 )
      & ( ~ hskp25
        | ( ndr1_0
          & ~ c0_1(a2172)
          & c1_1(a2172)
          & ~ c3_1(a2172) ) )
      & ( ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | c2_1(X63)
              | c1_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c1_1(X62)
              | ~ c3_1(X62) ) )
        | hskp15 )
      & ( ~ hskp4
        | ( c3_1(a2074)
          & c1_1(a2074)
          & ~ c2_1(a2074)
          & ndr1_0 ) )
      & ( hskp24
        | hskp12
        | hskp10 )
      & ( ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | ~ c2_1(X8)
              | c1_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c1_1(X7)
              | c0_1(X7)
              | c3_1(X7) ) )
        | hskp27 )
      & ( ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | c3_1(X48)
              | c0_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c1_1(X49)
              | c0_1(X49)
              | ~ c2_1(X49) ) )
        | hskp1 )
      & ( ! [X29] :
            ( ndr1_0
           => ( ~ c2_1(X29)
              | c1_1(X29)
              | c3_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) )
        | hskp8 )
      & ( ! [X46] :
            ( ndr1_0
           => ( c3_1(X46)
              | c0_1(X46)
              | ~ c1_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c1_1(X47)
              | ~ c2_1(X47)
              | ~ c3_1(X47) ) )
        | hskp8 )
      & ( ~ hskp2
        | ( ndr1_0
          & ~ c3_1(a2071)
          & c0_1(a2071)
          & c2_1(a2071) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( ~ c2_1(X10)
              | c1_1(X10)
              | c3_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | c3_1(X9) ) )
        | hskp4 )
      & ( hskp18
        | hskp6
        | hskp5 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c1_1(X40)
              | c2_1(X40)
              | ~ c3_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c2_1(X39)
              | ~ c3_1(X39) ) )
        | hskp4 )
      & ( hskp27
        | hskp29
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c2_1(X75)
              | c0_1(X75) ) ) )
      & ( ( ndr1_0
          & c0_1(a2069)
          & c3_1(a2069)
          & c2_1(a2069) )
        | ~ hskp26 )
      & ( ~ hskp15
        | ( c0_1(a2099)
          & ~ c3_1(a2099)
          & ndr1_0
          & ~ c2_1(a2099) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c0_1(a2093)
          & ~ c1_1(a2093)
          & ~ c3_1(a2093) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | c0_1(X13)
              | ~ c3_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c0_1(X14)
              | c1_1(X14)
              | ~ c2_1(X14) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c1_1(X12)
              | ~ c2_1(X12)
              | c0_1(X12) ) ) )
      & ( hskp0
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | c0_1(X68)
              | ~ c1_1(X68) ) ) )
      & ( ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | c1_1(X100)
              | ~ c2_1(X100) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c0_1(X101)
              | c2_1(X101)
              | ~ c3_1(X101) ) )
        | hskp3 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c2_1(X88)
              | ~ c3_1(X88)
              | ~ c1_1(X88) ) )
        | hskp3
        | ! [X87] :
            ( ndr1_0
           => ( c3_1(X87)
              | c1_1(X87)
              | ~ c0_1(X87) ) ) )
      & ( hskp11
        | hskp10
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c0_1(X99)
              | c1_1(X99) ) ) )
      & ( hskp7
        | ! [X104] :
            ( ndr1_0
           => ( ~ c2_1(X104)
              | c1_1(X104)
              | ~ c3_1(X104) ) )
        | hskp15 )
      & ( ( ndr1_0
          & ~ c0_1(a2140)
          & c2_1(a2140)
          & c3_1(a2140) )
        | ~ hskp22 )
      & ( ~ hskp18
        | ( c1_1(a2116)
          & ~ c2_1(a2116)
          & ~ c3_1(a2116)
          & ndr1_0 ) )
      & ( ( c1_1(a2079)
          & ~ c3_1(a2079)
          & ndr1_0
          & c0_1(a2079) )
        | ~ hskp7 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c2_1(X78)
              | ~ c0_1(X78)
              | c1_1(X78) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | ~ c3_1(X79)
              | ~ c0_1(X79) ) )
        | hskp26 )
      & ( ! [X24] :
            ( ndr1_0
           => ( c3_1(X24)
              | c0_1(X24)
              | c2_1(X24) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c1_1(X26)
              | c2_1(X26)
              | ~ c3_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c1_1(X25)
              | c3_1(X25)
              | ~ c2_1(X25) ) ) )
      & ( hskp7
        | ! [X116] :
            ( ndr1_0
           => ( c2_1(X116)
              | ~ c3_1(X116)
              | ~ c0_1(X116) ) )
        | hskp16 )
      & ( ! [X45] :
            ( ndr1_0
           => ( ~ c0_1(X45)
              | ~ c3_1(X45)
              | ~ c2_1(X45) ) )
        | hskp4
        | ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | ~ c1_1(X44)
              | c3_1(X44) ) ) )
      & ( ! [X1] :
            ( ndr1_0
           => ( c2_1(X1)
              | ~ c1_1(X1)
              | c0_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c3_1(X2)
              | c2_1(X2)
              | c1_1(X2) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) ) )
      & ( ( c1_1(a2082)
          & ~ c0_1(a2082)
          & ndr1_0
          & c2_1(a2082) )
        | ~ hskp8 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | ~ c3_1(X70)
              | ~ c2_1(X70) ) )
        | hskp27
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c2_1(X69)
              | c0_1(X69) ) ) )
      & ( hskp24
        | hskp5
        | hskp23 )
      & ( ~ hskp29
        | ( c3_1(a2077)
          & ndr1_0
          & c2_1(a2077)
          & c1_1(a2077) ) )
      & ( ! [X52] :
            ( ndr1_0
           => ( c3_1(X52)
              | ~ c2_1(X52)
              | c0_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | c1_1(X53)
              | ~ c2_1(X53) ) )
        | hskp10 )
      & ( hskp5
        | hskp29
        | hskp3 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | c3_1(X11) ) )
        | hskp5
        | hskp28 )
      & ( ( c1_1(a2073)
          & c0_1(a2073)
          & ndr1_0
          & c3_1(a2073) )
        | ~ hskp27 )
      & ( hskp4
        | ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | c0_1(X27)
              | c2_1(X27) ) )
        | hskp5 )
      & ( ~ hskp13
        | ( c2_1(a2096)
          & ndr1_0
          & ~ c1_1(a2096)
          & ~ c0_1(a2096) ) )
      & ( ~ hskp12
        | ( ~ c2_1(a2095)
          & c1_1(a2095)
          & ~ c0_1(a2095)
          & ndr1_0 ) )
      & ( ! [X66] :
            ( ndr1_0
           => ( ~ c1_1(X66)
              | c2_1(X66)
              | ~ c0_1(X66) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c1_1(X64)
              | ~ c3_1(X64)
              | c0_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | ~ c0_1(X65)
              | ~ c3_1(X65) ) ) )
      & ( ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | ~ c3_1(X42)
              | ~ c0_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c2_1(X41)
              | ~ c3_1(X41) ) )
        | hskp10 )
      & ( ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | c2_1(X80)
              | c1_1(X80) ) )
        | hskp16
        | ! [X81] :
            ( ndr1_0
           => ( c3_1(X81)
              | ~ c0_1(X81)
              | ~ c2_1(X81) ) ) )
      & ( ( ~ c3_1(a2160)
          & ndr1_0
          & c2_1(a2160)
          & c1_1(a2160) )
        | ~ hskp24 )
      & ( ( c2_1(a2084)
          & c3_1(a2084)
          & ndr1_0
          & ~ c1_1(a2084) )
        | ~ hskp9 )
      & ( ~ hskp17
        | ( c2_1(a2110)
          & ndr1_0
          & ~ c1_1(a2110)
          & c0_1(a2110) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ~ c0_1(a2122)
          & ~ c3_1(a2122)
          & c2_1(a2122) ) )
      & ( hskp3
        | hskp2
        | ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c2_1(X6) ) ) )
      & ( hskp7
        | hskp15
        | hskp23 )
      & ( hskp9
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | ~ c0_1(X35)
              | c2_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | ~ c1_1(X34)
              | c2_1(X34) ) ) )
      & ( hskp17
        | hskp22
        | ! [X118] :
            ( ndr1_0
           => ( ~ c3_1(X118)
              | ~ c0_1(X118)
              | ~ c1_1(X118) ) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( c1_1(X22)
              | c0_1(X22)
              | ~ c3_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c1_1(X23)
              | ~ c3_1(X23)
              | ~ c0_1(X23) ) )
        | hskp7 )
      & ( ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c2_1(X86)
              | c1_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | ~ c0_1(X85)
              | c3_1(X85) ) )
        | hskp26 )
      & ( ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | c2_1(X56)
              | ~ c1_1(X56) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | c0_1(X54)
              | c3_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | c2_1(X55)
              | ~ c0_1(X55) ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c0_1(a2149)
          & c3_1(a2149)
          & ~ c1_1(a2149) ) )
      & ( ! [X109] :
            ( ndr1_0
           => ( c2_1(X109)
              | ~ c1_1(X109)
              | ~ c0_1(X109) ) )
        | hskp12
        | ! [X110] :
            ( ndr1_0
           => ( ~ c1_1(X110)
              | c3_1(X110)
              | ~ c2_1(X110) ) ) )
      & ( hskp8
        | hskp1
        | ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | c3_1(X92)
              | c1_1(X92) ) ) )
      & ( hskp17
        | hskp20
        | ! [X112] :
            ( ndr1_0
           => ( ~ c0_1(X112)
              | ~ c1_1(X112)
              | c2_1(X112) ) ) )
      & ( ! [X33] :
            ( ndr1_0
           => ( ~ c0_1(X33)
              | c2_1(X33)
              | ~ c1_1(X33) ) )
        | hskp9
        | ! [X32] :
            ( ndr1_0
           => ( c2_1(X32)
              | ~ c1_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp27
        | hskp5
        | hskp23 )
      & ( ! [X31] :
            ( ndr1_0
           => ( ~ c0_1(X31)
              | ~ c3_1(X31)
              | c1_1(X31) ) )
        | hskp2
        | ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | ~ c1_1(X30)
              | c2_1(X30) ) ) )
      & ( ( ~ c1_1(a2104)
          & c3_1(a2104)
          & ~ c0_1(a2104)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ! [X72] :
            ( ndr1_0
           => ( ~ c0_1(X72)
              | c3_1(X72)
              | c2_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c2_1(X71)
              | c0_1(X71)
              | ~ c3_1(X71) ) )
        | hskp16 )
      & ( hskp23
        | hskp1
        | hskp17 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c1_1(X51)
              | ~ c0_1(X51)
              | c2_1(X51) ) )
        | hskp11
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | c3_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp4
        | hskp28
        | ! [X67] :
            ( ndr1_0
           => ( ~ c1_1(X67)
              | ~ c3_1(X67)
              | c0_1(X67) ) ) )
      & ( ! [X93] :
            ( ndr1_0
           => ( c3_1(X93)
              | c1_1(X93)
              | ~ c0_1(X93) ) )
        | hskp19
        | hskp11 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c3_1(X57)
              | ~ c2_1(X57)
              | c0_1(X57) ) )
        | hskp13
        | hskp12 )
      & ( hskp1
        | ! [X5] :
            ( ndr1_0
           => ( c1_1(X5)
              | c0_1(X5)
              | c2_1(X5) ) )
        | hskp26 )
      & ( ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) )
        | hskp7
        | hskp27 )
      & ( hskp20
        | ! [X103] :
            ( ndr1_0
           => ( ~ c1_1(X103)
              | ~ c0_1(X103)
              | ~ c2_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( c1_1(X102)
              | ~ c3_1(X102)
              | ~ c2_1(X102) ) ) )
      & ( hskp17
        | hskp2 )
      & ( ( c3_1(a2068)
          & ~ c2_1(a2068)
          & ~ c0_1(a2068)
          & ndr1_0 )
        | ~ hskp0 )
      & ( ! [X74] :
            ( ndr1_0
           => ( ~ c1_1(X74)
              | ~ c0_1(X74)
              | ~ c2_1(X74) ) )
        | hskp26
        | ! [X73] :
            ( ndr1_0
           => ( c0_1(X73)
              | ~ c2_1(X73)
              | ~ c3_1(X73) ) ) )
      & ( ~ hskp10
        | ( ~ c1_1(a2087)
          & c2_1(a2087)
          & ndr1_0
          & ~ c3_1(a2087) ) )
      & ( ! [X95] :
            ( ndr1_0
           => ( ~ c1_1(X95)
              | c3_1(X95)
              | c2_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c0_1(X94)
              | c1_1(X94)
              | ~ c3_1(X94) ) )
        | hskp17 )
      & ( hskp18
        | hskp25
        | hskp12 )
      & ( ! [X59] :
            ( ndr1_0
           => ( c3_1(X59)
              | c2_1(X59)
              | c1_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | ~ c2_1(X58)
              | ~ c1_1(X58) ) )
        | hskp14 )
      & ( ( ~ c2_1(a2070)
          & c3_1(a2070)
          & c0_1(a2070)
          & ndr1_0 )
        | ~ hskp1 )
      & ( hskp4
        | ! [X114] :
            ( ndr1_0
           => ( ~ c0_1(X114)
              | ~ c3_1(X114)
              | c2_1(X114) ) )
        | ! [X115] :
            ( ndr1_0
           => ( ~ c2_1(X115)
              | c3_1(X115)
              | ~ c0_1(X115) ) ) )
      & ( ~ hskp14
        | ( ~ c1_1(a2097)
          & ndr1_0
          & ~ c2_1(a2097)
          & ~ c0_1(a2097) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( c2_1(X16)
              | ~ c1_1(X16)
              | ~ c0_1(X16) ) )
        | hskp29
        | ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | ~ c2_1(X15) ) ) )
      & ( ! [X89] :
            ( ndr1_0
           => ( c3_1(X89)
              | c1_1(X89)
              | ~ c0_1(X89) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | ~ c3_1(X91)
              | ~ c2_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c1_1(X90)
              | ~ c3_1(X90)
              | ~ c0_1(X90) ) ) )
      & ( ( c0_1(a2078)
          & ~ c2_1(a2078)
          & ~ c1_1(a2078)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | c0_1(X17)
              | c1_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c1_1(X18)
              | ~ c0_1(X18)
              | ~ c3_1(X18) ) )
        | hskp6 )
      & ( ( ndr1_0
          & ~ c2_1(a2130)
          & ~ c3_1(a2130)
          & ~ c1_1(a2130) )
        | ~ hskp20 )
      & ( hskp17
        | ! [X77] :
            ( ndr1_0
           => ( c3_1(X77)
              | c1_1(X77)
              | c2_1(X77) ) )
        | hskp1 )
      & ( ! [X111] :
            ( ndr1_0
           => ( ~ c0_1(X111)
              | c2_1(X111)
              | ~ c1_1(X111) ) )
        | hskp16
        | hskp21 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f974,plain,
    ( ~ spl0_11
    | spl0_152 ),
    inference(avatar_split_clause,[],[f177,f971,f250]) ).

fof(f250,plain,
    ( spl0_11
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f177,plain,
    ( c3_1(a2077)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f969,plain,
    ( spl0_151
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f149,f492,f966]) ).

fof(f492,plain,
    ( spl0_66
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f149,plain,
    ( ~ hskp15
    | c0_1(a2099) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f964,plain,
    ( spl0_41
    | spl0_11
    | spl0_30 ),
    inference(avatar_split_clause,[],[f194,f333,f250,f380]) ).

fof(f380,plain,
    ( spl0_41
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f333,plain,
    ( spl0_30
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f194,plain,
    ( hskp3
    | hskp29
    | hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f961,plain,
    ( spl0_150
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f184,f295,f958]) ).

fof(f295,plain,
    ( spl0_21
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f184,plain,
    ( ~ hskp9
    | c3_1(a2084) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f956,plain,
    ( spl0_8
    | ~ spl0_4
    | spl0_41
    | spl0_96 ),
    inference(avatar_split_clause,[],[f28,f634,f380,f217,f236]) ).

fof(f236,plain,
    ( spl0_8
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f28,plain,
    ! [X22] :
      ( c1_1(X22)
      | ~ c3_1(X22)
      | hskp5
      | ~ c0_1(X22)
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f955,plain,
    ( spl0_6
    | spl0_17
    | spl0_100 ),
    inference(avatar_split_clause,[],[f199,f654,f277,f227]) ).

fof(f227,plain,
    ( spl0_6
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f277,plain,
    ( spl0_17
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f654,plain,
    ( spl0_100
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f199,plain,
    ( hskp17
    | hskp23
    | hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f948,plain,
    ( spl0_148
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f155,f372,f945]) ).

fof(f372,plain,
    ( spl0_39
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f155,plain,
    ( ~ hskp24
    | c2_1(a2160) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f936,plain,
    ( spl0_6
    | ~ spl0_4
    | spl0_49
    | spl0_84 ),
    inference(avatar_split_clause,[],[f54,f577,f418,f217,f227]) ).

fof(f54,plain,
    ! [X28,X27] :
      ( ~ c2_1(X28)
      | c3_1(X27)
      | c0_1(X28)
      | ~ c1_1(X28)
      | ~ ndr1_0
      | hskp1
      | c0_1(X27)
      | ~ c2_1(X27) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f935,plain,
    ( ~ spl0_4
    | spl0_3
    | spl0_40
    | spl0_109 ),
    inference(avatar_split_clause,[],[f20,f705,f377,f213,f217]) ).

fof(f213,plain,
    ( spl0_3
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f20,plain,
    ! [X34,X33] :
      ( c3_1(X33)
      | c1_1(X33)
      | c3_1(X34)
      | c0_1(X34)
      | c1_1(X34)
      | hskp4
      | ~ c2_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f934,plain,
    ( spl0_27
    | spl0_17
    | spl0_41 ),
    inference(avatar_split_clause,[],[f197,f380,f277,f322]) ).

fof(f322,plain,
    ( spl0_27
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f197,plain,
    ( hskp5
    | hskp23
    | hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f932,plain,
    ( ~ spl0_36
    | spl0_146 ),
    inference(avatar_split_clause,[],[f82,f929,f359]) ).

fof(f82,plain,
    ( c3_1(a2140)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f926,plain,
    ( spl0_145
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f126,f236,f923]) ).

fof(f126,plain,
    ( ~ hskp26
    | c2_1(a2069) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f921,plain,
    ( spl0_68
    | spl0_33
    | ~ spl0_4
    | spl0_3 ),
    inference(avatar_split_clause,[],[f50,f213,f217,f346,f501]) ).

fof(f501,plain,
    ( spl0_68
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f50,plain,
    ! [X21] :
      ( hskp4
      | ~ ndr1_0
      | ~ c0_1(X21)
      | ~ c2_1(X21)
      | hskp7
      | ~ c1_1(X21) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f919,plain,
    ( spl0_80
    | spl0_100 ),
    inference(avatar_split_clause,[],[f202,f654,f559]) ).

fof(f559,plain,
    ( spl0_80
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f202,plain,
    ( hskp17
    | hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f918,plain,
    ( ~ spl0_4
    | spl0_3
    | spl0_1
    | spl0_24 ),
    inference(avatar_split_clause,[],[f39,f309,f204,f213,f217]) ).

fof(f204,plain,
    ( spl0_1
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f39,plain,
    ! [X95] :
      ( ~ c1_1(X95)
      | hskp28
      | hskp4
      | c0_1(X95)
      | ~ ndr1_0
      | ~ c3_1(X95) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f917,plain,
    ( spl0_144
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f96,f204,f914]) ).

fof(f96,plain,
    ( ~ hskp28
    | c1_1(a2075) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f910,plain,
    ( ~ spl0_39
    | spl0_4 ),
    inference(avatar_split_clause,[],[f156,f217,f372]) ).

fof(f156,plain,
    ( ndr1_0
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f904,plain,
    ( ~ spl0_8
    | spl0_142 ),
    inference(avatar_split_clause,[],[f127,f901,f236]) ).

fof(f127,plain,
    ( c3_1(a2069)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f893,plain,
    ( spl0_21
    | spl0_43
    | ~ spl0_4
    | spl0_86 ),
    inference(avatar_split_clause,[],[f24,f584,f217,f388,f295]) ).

fof(f24,plain,
    ! [X88,X87] :
      ( c2_1(X87)
      | ~ ndr1_0
      | ~ c1_1(X88)
      | c2_1(X88)
      | c0_1(X88)
      | ~ c1_1(X87)
      | ~ c0_1(X87)
      | hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f891,plain,
    ( ~ spl0_21
    | spl0_140 ),
    inference(avatar_split_clause,[],[f185,f888,f295]) ).

fof(f185,plain,
    ( c2_1(a2084)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f886,plain,
    ( spl0_42
    | spl0_30
    | spl0_29
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f42,f217,f329,f333,f385]) ).

fof(f42,plain,
    ! [X42,X43] :
      ( ~ ndr1_0
      | c1_1(X42)
      | ~ c2_1(X42)
      | ~ c3_1(X42)
      | hskp3
      | c2_1(X43)
      | ~ c0_1(X43)
      | ~ c3_1(X43) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f884,plain,
    ( ~ spl0_139
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f143,f305,f881]) ).

fof(f305,plain,
    ( spl0_23
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f143,plain,
    ( ~ hskp0
    | ~ c0_1(a2068) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f879,plain,
    ( ~ spl0_80
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f152,f876,f559]) ).

fof(f152,plain,
    ( ~ c3_1(a2071)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f872,plain,
    ( ~ spl0_4
    | spl0_67
    | spl0_66
    | spl0_24 ),
    inference(avatar_split_clause,[],[f8,f309,f492,f497,f217]) ).

fof(f8,plain,
    ! [X24,X23] :
      ( c0_1(X24)
      | hskp15
      | c1_1(X23)
      | ~ c3_1(X24)
      | ~ c3_1(X23)
      | ~ ndr1_0
      | c2_1(X23)
      | ~ c1_1(X24) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f871,plain,
    ( ~ spl0_137
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f124,f501,f868]) ).

fof(f124,plain,
    ( ~ hskp7
    | ~ c3_1(a2079) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f858,plain,
    ( spl0_8
    | ~ spl0_4
    | spl0_28
    | spl0_33 ),
    inference(avatar_split_clause,[],[f63,f346,f326,f217,f236]) ).

fof(f63,plain,
    ! [X102,X103] :
      ( ~ c0_1(X102)
      | ~ c3_1(X103)
      | ~ c1_1(X102)
      | c0_1(X103)
      | ~ ndr1_0
      | hskp26
      | ~ c2_1(X103)
      | ~ c2_1(X102) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f857,plain,
    ( ~ spl0_68
    | spl0_135 ),
    inference(avatar_split_clause,[],[f125,f854,f501]) ).

fof(f125,plain,
    ( c1_1(a2079)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f852,plain,
    ( ~ spl0_134
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f99,f213,f849]) ).

fof(f99,plain,
    ( ~ hskp4
    | ~ c2_1(a2074) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f847,plain,
    ( spl0_68
    | spl0_27
    | spl0_51
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f45,f217,f425,f322,f501]) ).

fof(f45,plain,
    ! [X99] :
      ( ~ ndr1_0
      | c2_1(X99)
      | hskp27
      | c0_1(X99)
      | ~ c3_1(X99)
      | hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f846,plain,
    ( ~ spl0_133
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f148,f492,f843]) ).

fof(f148,plain,
    ( ~ hskp15
    | ~ c3_1(a2099) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f833,plain,
    ( spl0_79
    | ~ spl0_4
    | spl0_100
    | spl0_36 ),
    inference(avatar_split_clause,[],[f13,f359,f654,f217,f555]) ).

fof(f13,plain,
    ! [X75] :
      ( hskp22
      | hskp17
      | ~ ndr1_0
      | ~ c1_1(X75)
      | ~ c0_1(X75)
      | ~ c3_1(X75) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f832,plain,
    ( spl0_3
    | spl0_42
    | spl0_71
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f9,f217,f516,f385,f213]) ).

fof(f9,plain,
    ! [X108,X109] :
      ( ~ ndr1_0
      | ~ c0_1(X109)
      | c3_1(X109)
      | ~ c0_1(X108)
      | ~ c2_1(X109)
      | ~ c3_1(X108)
      | c2_1(X108)
      | hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f827,plain,
    ( ~ spl0_3
    | spl0_130 ),
    inference(avatar_split_clause,[],[f101,f824,f213]) ).

fof(f101,plain,
    ( c3_1(a2074)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f822,plain,
    ( ~ spl0_6
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f81,f819,f227]) ).

fof(f81,plain,
    ( ~ c2_1(a2070)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f817,plain,
    ( spl0_109
    | ~ spl0_4
    | spl0_115
    | spl0_72 ),
    inference(avatar_split_clause,[],[f47,f521,f737,f217,f705]) ).

fof(f47,plain,
    ! [X50,X51,X52] :
      ( ~ c3_1(X51)
      | c2_1(X50)
      | c3_1(X50)
      | ~ ndr1_0
      | c1_1(X52)
      | ~ c1_1(X51)
      | c3_1(X52)
      | ~ c2_1(X52)
      | c2_1(X51)
      | c0_1(X50) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f815,plain,
    ( ~ spl0_128
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f106,f277,f812]) ).

fof(f106,plain,
    ( ~ hskp23
    | ~ c1_1(a2149) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f810,plain,
    ( ~ spl0_4
    | spl0_27
    | spl0_11
    | spl0_28 ),
    inference(avatar_split_clause,[],[f21,f326,f250,f322,f217]) ).

fof(f21,plain,
    ! [X37] :
      ( c0_1(X37)
      | hskp29
      | ~ c3_1(X37)
      | hskp27
      | ~ ndr1_0
      | ~ c2_1(X37) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f809,plain,
    ( ~ spl0_39
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f157,f806,f372]) ).

fof(f157,plain,
    ( ~ c3_1(a2160)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f804,plain,
    ( spl0_126
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f169,f654,f801]) ).

fof(f169,plain,
    ( ~ hskp17
    | c2_1(a2110) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f798,plain,
    ( ~ spl0_19
    | spl0_125 ),
    inference(avatar_split_clause,[],[f118,f795,f286]) ).

fof(f286,plain,
    ( spl0_19
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f118,plain,
    ( c2_1(a2082)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f793,plain,
    ( spl0_41
    | ~ spl0_4
    | spl0_72
    | spl0_86 ),
    inference(avatar_split_clause,[],[f26,f584,f521,f217,f380]) ).

fof(f26,plain,
    ! [X6,X5] :
      ( ~ c0_1(X5)
      | ~ c1_1(X6)
      | ~ ndr1_0
      | c2_1(X5)
      | c2_1(X6)
      | hskp5
      | ~ c1_1(X5)
      | ~ c3_1(X6) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f792,plain,
    ( ~ spl0_1
    | spl0_124 ),
    inference(avatar_split_clause,[],[f95,f789,f204]) ).

fof(f95,plain,
    ( c0_1(a2075)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f787,plain,
    ( spl0_61
    | ~ spl0_4
    | spl0_113
    | spl0_51 ),
    inference(avatar_split_clause,[],[f11,f425,f727,f217,f468]) ).

fof(f468,plain,
    ( spl0_61
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f11,plain,
    ! [X68,X69] :
      ( c0_1(X69)
      | ~ c3_1(X68)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | ~ c0_1(X68)
      | c2_1(X69)
      | hskp10
      | ~ c2_1(X68) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f779,plain,
    ( spl0_122
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f145,f305,f776]) ).

fof(f145,plain,
    ( ~ hskp0
    | c3_1(a2068) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f769,plain,
    ( ~ spl0_120
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f167,f654,f766]) ).

fof(f167,plain,
    ( ~ hskp17
    | ~ c1_1(a2110) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f763,plain,
    ( ~ spl0_4
    | spl0_51
    | spl0_67
    | spl0_3 ),
    inference(avatar_split_clause,[],[f73,f213,f497,f425,f217]) ).

fof(f73,plain,
    ! [X36,X35] :
      ( hskp4
      | ~ c3_1(X35)
      | ~ c3_1(X36)
      | ~ ndr1_0
      | c1_1(X35)
      | c2_1(X35)
      | c2_1(X36)
      | c0_1(X36) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f757,plain,
    ( spl0_47
    | ~ spl0_4
    | spl0_109
    | spl0_84 ),
    inference(avatar_split_clause,[],[f40,f577,f705,f217,f406]) ).

fof(f406,plain,
    ( spl0_47
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f40,plain,
    ! [X8,X7] :
      ( ~ c1_1(X7)
      | c3_1(X8)
      | c0_1(X7)
      | ~ c2_1(X7)
      | c1_1(X8)
      | ~ ndr1_0
      | hskp11
      | ~ c2_1(X8) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f755,plain,
    ( spl0_118
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f108,f277,f752]) ).

fof(f108,plain,
    ( ~ hskp23
    | c0_1(a2149) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f749,plain,
    ( ~ spl0_6
    | spl0_117 ),
    inference(avatar_split_clause,[],[f80,f746,f227]) ).

fof(f80,plain,
    ( c3_1(a2070)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f739,plain,
    ( spl0_41
    | spl0_3
    | ~ spl0_4
    | spl0_115 ),
    inference(avatar_split_clause,[],[f68,f737,f217,f213,f380]) ).

fof(f68,plain,
    ! [X64] :
      ( c0_1(X64)
      | c2_1(X64)
      | ~ ndr1_0
      | c3_1(X64)
      | hskp4
      | hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f729,plain,
    ( ~ spl0_4
    | spl0_79
    | spl0_37
    | spl0_113 ),
    inference(avatar_split_clause,[],[f22,f727,f364,f555,f217]) ).

fof(f22,plain,
    ! [X113,X114,X112] :
      ( ~ c2_1(X113)
      | c1_1(X112)
      | ~ c1_1(X114)
      | ~ c0_1(X112)
      | c3_1(X112)
      | ~ c0_1(X114)
      | ~ c3_1(X114)
      | ~ ndr1_0
      | ~ c3_1(X113)
      | ~ c0_1(X113) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f725,plain,
    ( ~ spl0_17
    | spl0_4 ),
    inference(avatar_split_clause,[],[f109,f217,f277]) ).

fof(f109,plain,
    ( ndr1_0
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f723,plain,
    ( spl0_39
    | spl0_61
    | spl0_14 ),
    inference(avatar_split_clause,[],[f195,f263,f468,f372]) ).

fof(f263,plain,
    ( spl0_14
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f195,plain,
    ( hskp12
    | hskp10
    | hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f722,plain,
    ( ~ spl0_21
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f182,f719,f295]) ).

fof(f182,plain,
    ( ~ c1_1(a2084)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f717,plain,
    ( ~ spl0_47
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f91,f714,f406]) ).

fof(f91,plain,
    ( ~ c1_1(a2093)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f707,plain,
    ( ~ spl0_4
    | spl0_19
    | spl0_43
    | spl0_109 ),
    inference(avatar_split_clause,[],[f7,f705,f388,f286,f217]) ).

fof(f7,plain,
    ! [X29,X30] :
      ( ~ c2_1(X29)
      | c2_1(X30)
      | c0_1(X30)
      | hskp8
      | ~ ndr1_0
      | c3_1(X29)
      | ~ c1_1(X30)
      | c1_1(X29) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f703,plain,
    ( ~ spl0_108
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f74,f333,f700]) ).

fof(f74,plain,
    ( ~ hskp3
    | ~ c0_1(a2072) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f691,plain,
    ( ~ spl0_4
    | spl0_28
    | spl0_47
    | spl0_23 ),
    inference(avatar_split_clause,[],[f72,f305,f406,f326,f217]) ).

fof(f72,plain,
    ! [X10] :
      ( hskp0
      | hskp11
      | c0_1(X10)
      | ~ c3_1(X10)
      | ~ ndr1_0
      | ~ c2_1(X10) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f690,plain,
    ( spl0_47
    | spl0_33
    | ~ spl0_4
    | spl0_55 ),
    inference(avatar_split_clause,[],[f37,f440,f217,f346,f406]) ).

fof(f37,plain,
    ! [X19,X20] :
      ( c3_1(X20)
      | ~ ndr1_0
      | c2_1(X20)
      | ~ c1_1(X19)
      | hskp11
      | ~ c2_1(X19)
      | ~ c0_1(X19)
      | ~ c0_1(X20) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f689,plain,
    ( spl0_61
    | spl0_29
    | ~ spl0_4
    | spl0_49 ),
    inference(avatar_split_clause,[],[f49,f418,f217,f329,f468]) ).

fof(f49,plain,
    ! [X62,X61] :
      ( c0_1(X61)
      | ~ ndr1_0
      | c1_1(X62)
      | ~ c3_1(X62)
      | ~ c2_1(X61)
      | ~ c2_1(X62)
      | hskp10
      | c3_1(X61) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f687,plain,
    ( ~ spl0_106
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f76,f333,f684]) ).

fof(f76,plain,
    ( ~ hskp3
    | ~ c3_1(a2072) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f667,plain,
    ( spl0_102
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f166,f654,f664]) ).

fof(f166,plain,
    ( ~ hskp17
    | c0_1(a2110) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f662,plain,
    ( spl0_101
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f112,f263,f659]) ).

fof(f112,plain,
    ( ~ hskp12
    | c1_1(a2095) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f647,plain,
    ( spl0_6
    | ~ spl0_4
    | spl0_37
    | spl0_19 ),
    inference(avatar_split_clause,[],[f60,f286,f364,f217,f227]) ).

fof(f60,plain,
    ! [X85] :
      ( hskp8
      | c1_1(X85)
      | ~ c0_1(X85)
      | c3_1(X85)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f636,plain,
    ( ~ spl0_4
    | spl0_96
    | spl0_61
    | spl0_47 ),
    inference(avatar_split_clause,[],[f64,f406,f468,f634,f217]) ).

fof(f64,plain,
    ! [X46] :
      ( hskp11
      | hskp10
      | ~ c3_1(X46)
      | c1_1(X46)
      | ~ ndr1_0
      | ~ c0_1(X46) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f627,plain,
    ( ~ spl0_61
    | spl0_94 ),
    inference(avatar_split_clause,[],[f180,f624,f468]) ).

fof(f180,plain,
    ( c2_1(a2087)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f621,plain,
    ( ~ spl0_61
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f181,f618,f468]) ).

fof(f181,plain,
    ( ~ c1_1(a2087)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f616,plain,
    ( spl0_92
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f117,f380,f613]) ).

fof(f117,plain,
    ( ~ hskp5
    | c3_1(a2076) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f611,plain,
    ( spl0_91
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f88,f322,f608]) ).

fof(f88,plain,
    ( ~ hskp27
    | c0_1(a2073) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f596,plain,
    ( ~ spl0_80
    | spl0_88 ),
    inference(avatar_split_clause,[],[f150,f593,f559]) ).

fof(f150,plain,
    ( c2_1(a2071)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f589,plain,
    ( spl0_11
    | ~ spl0_4
    | spl0_86
    | spl0_87 ),
    inference(avatar_split_clause,[],[f57,f587,f584,f217,f250]) ).

fof(f57,plain,
    ! [X111,X110] :
      ( c0_1(X111)
      | ~ c0_1(X110)
      | ~ ndr1_0
      | ~ c2_1(X111)
      | c1_1(X111)
      | c2_1(X110)
      | ~ c1_1(X110)
      | hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f566,plain,
    ( ~ spl0_80
    | spl0_81 ),
    inference(avatar_split_clause,[],[f151,f563,f559]) ).

fof(f151,plain,
    ( c0_1(a2071)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f550,plain,
    ( ~ spl0_41
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f114,f547,f380]) ).

fof(f114,plain,
    ( ~ c0_1(a2076)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f545,plain,
    ( spl0_76
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f122,f501,f542]) ).

fof(f122,plain,
    ( ~ hskp7
    | c0_1(a2079) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f540,plain,
    ( ~ spl0_41
    | spl0_75 ),
    inference(avatar_split_clause,[],[f116,f537,f380]) ).

fof(f116,plain,
    ( c1_1(a2076)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f535,plain,
    ( spl0_37
    | spl0_30
    | ~ spl0_4
    | spl0_72 ),
    inference(avatar_split_clause,[],[f14,f521,f217,f333,f364]) ).

fof(f14,plain,
    ! [X44,X45] :
      ( ~ c3_1(X44)
      | c2_1(X44)
      | ~ ndr1_0
      | hskp3
      | c1_1(X45)
      | ~ c0_1(X45)
      | ~ c1_1(X44)
      | c3_1(X45) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f534,plain,
    ( ~ spl0_74
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f111,f263,f531]) ).

fof(f111,plain,
    ( ~ hskp12
    | ~ c0_1(a2095) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f528,plain,
    ( spl0_73
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f79,f227,f525]) ).

fof(f79,plain,
    ( ~ hskp1
    | c0_1(a2070) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f523,plain,
    ( ~ spl0_4
    | spl0_42
    | spl0_72
    | spl0_49 ),
    inference(avatar_split_clause,[],[f56,f418,f521,f385,f217]) ).

fof(f56,plain,
    ! [X82,X80,X81] :
      ( c3_1(X81)
      | ~ c3_1(X80)
      | ~ c0_1(X82)
      | ~ c2_1(X81)
      | ~ ndr1_0
      | ~ c3_1(X82)
      | c0_1(X81)
      | c2_1(X80)
      | c2_1(X82)
      | ~ c1_1(X80) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f519,plain,
    ( ~ spl0_41
    | spl0_4 ),
    inference(avatar_split_clause,[],[f115,f217,f380]) ).

fof(f115,plain,
    ( ndr1_0
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f514,plain,
    ( spl0_70
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f86,f322,f511]) ).

fof(f86,plain,
    ( ~ hskp27
    | c3_1(a2073) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f509,plain,
    ( spl0_69
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f100,f213,f506]) ).

fof(f100,plain,
    ( ~ hskp4
    | c1_1(a2074) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f495,plain,
    ( ~ spl0_65
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f146,f492,f488]) ).

fof(f146,plain,
    ( ~ hskp15
    | ~ c2_1(a2099) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f481,plain,
    ( spl0_63
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f89,f322,f478]) ).

fof(f89,plain,
    ( ~ hskp27
    | c1_1(a2073) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f476,plain,
    ( ~ spl0_47
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f90,f473,f406]) ).

fof(f90,plain,
    ( ~ c3_1(a2093)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f471,plain,
    ( ~ spl0_60
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f178,f468,f464]) ).

fof(f178,plain,
    ( ~ hskp10
    | ~ c3_1(a2087) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f447,plain,
    ( ~ spl0_56
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f84,f359,f444]) ).

fof(f84,plain,
    ( ~ hskp22
    | ~ c0_1(a2140) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f438,plain,
    ( spl0_54
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f121,f286,f435]) ).

fof(f121,plain,
    ( ~ hskp8
    | c1_1(a2082) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f411,plain,
    ( spl0_39
    | spl0_41
    | spl0_17 ),
    inference(avatar_split_clause,[],[f200,f277,f380,f372]) ).

fof(f200,plain,
    ( hskp23
    | hskp5
    | hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f409,plain,
    ( spl0_46
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f92,f406,f402]) ).

fof(f92,plain,
    ( ~ hskp11
    | c0_1(a2093) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f390,plain,
    ( ~ spl0_4
    | spl0_42
    | spl0_21
    | spl0_43 ),
    inference(avatar_split_clause,[],[f59,f388,f295,f385,f217]) ).

fof(f59,plain,
    ! [X73,X74] :
      ( ~ c1_1(X74)
      | hskp9
      | ~ c0_1(X73)
      | c2_1(X74)
      | c2_1(X73)
      | ~ ndr1_0
      | ~ c3_1(X73)
      | c0_1(X74) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f383,plain,
    ( spl0_40
    | spl0_41
    | ~ spl0_4
    | spl0_1 ),
    inference(avatar_split_clause,[],[f27,f204,f217,f380,f377]) ).

fof(f27,plain,
    ! [X63] :
      ( hskp28
      | ~ ndr1_0
      | hskp5
      | c0_1(X63)
      | c1_1(X63)
      | c3_1(X63) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f375,plain,
    ( spl0_38
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f154,f372,f368]) ).

fof(f154,plain,
    ( ~ hskp24
    | c1_1(a2160) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f366,plain,
    ( spl0_8
    | ~ spl0_4
    | spl0_29
    | spl0_37 ),
    inference(avatar_split_clause,[],[f62,f364,f329,f217,f236]) ).

fof(f62,plain,
    ! [X78,X79] :
      ( c3_1(X79)
      | ~ c3_1(X78)
      | ~ c2_1(X78)
      | c1_1(X79)
      | ~ c0_1(X79)
      | ~ ndr1_0
      | c1_1(X78)
      | hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f362,plain,
    ( spl0_35
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f83,f359,f355]) ).

fof(f83,plain,
    ( ~ hskp22
    | c2_1(a2140) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f353,plain,
    ( ~ spl0_34
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f144,f305,f350]) ).

fof(f144,plain,
    ( ~ hskp0
    | ~ c2_1(a2068) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f340,plain,
    ( ~ spl0_30
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f77,f337,f333]) ).

fof(f77,plain,
    ( ~ c1_1(a2072)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f311,plain,
    ( spl0_23
    | ~ spl0_4
    | spl0_24 ),
    inference(avatar_split_clause,[],[f58,f309,f217,f305]) ).

fof(f58,plain,
    ! [X41] :
      ( ~ c1_1(X41)
      | ~ ndr1_0
      | c0_1(X41)
      | hskp0
      | ~ c3_1(X41) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f303,plain,
    ( ~ spl0_11
    | spl0_22 ),
    inference(avatar_split_clause,[],[f174,f300,f250]) ).

fof(f174,plain,
    ( c1_1(a2077)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f293,plain,
    ( ~ spl0_19
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f120,f290,f286]) ).

fof(f120,plain,
    ( ~ c0_1(a2082)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f284,plain,
    ( ~ spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f107,f281,f277]) ).

fof(f107,plain,
    ( c3_1(a2149)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f266,plain,
    ( ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f113,f263,f259]) ).

fof(f113,plain,
    ( ~ hskp12
    | ~ c2_1(a2095) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f257,plain,
    ( ~ spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f175,f254,f250]) ).

fof(f175,plain,
    ( c2_1(a2077)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f239,plain,
    ( spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f128,f236,f232]) ).

fof(f128,plain,
    ( ~ hskp26
    | c0_1(a2069) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f211,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f97,f208,f204]) ).

fof(f97,plain,
    ( c2_1(a2075)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SYN485+1 : TPTP v8.1.0. Released v2.1.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n013.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 21:56:47 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.51  % (8800)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (8811)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54  % (8820)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.55  % (8799)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.56  % (8812)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.56  % (8824)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.57  % (8819)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.57  % (8807)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.57  % (8825)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.58  % (8816)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.59  % (8801)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.59  % (8802)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.59  % (8805)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.59  % (8803)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.59  % (8805)Instruction limit reached!
% 0.20/0.59  % (8805)------------------------------
% 0.20/0.59  % (8805)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (8805)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (8805)Termination reason: Unknown
% 0.20/0.59  % (8805)Termination phase: Preprocessing 1
% 0.20/0.59  
% 0.20/0.59  % (8805)Memory used [KB]: 1151
% 0.20/0.59  % (8805)Time elapsed: 0.003 s
% 0.20/0.59  % (8805)Instructions burned: 2 (million)
% 0.20/0.59  % (8805)------------------------------
% 0.20/0.59  % (8805)------------------------------
% 0.20/0.60  % (8800)First to succeed.
% 0.20/0.60  % (8817)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.81/0.61  % (8823)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.81/0.61  % (8797)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.81/0.61  % (8826)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.81/0.61  % (8798)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.81/0.61  % (8808)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.81/0.62  % (8810)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.81/0.62  % (8799)Instruction limit reached!
% 1.81/0.62  % (8799)------------------------------
% 1.81/0.62  % (8799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.62  Detected maximum model sizes of [30]
% 1.81/0.62  TRYING [1]
% 1.81/0.62  TRYING [2]
% 1.81/0.62  % (8799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.62  % (8799)Termination reason: Unknown
% 1.81/0.62  % (8799)Termination phase: Saturation
% 1.81/0.62  
% 1.81/0.62  % (8799)Memory used [KB]: 1535
% 1.81/0.62  TRYING [3]
% 1.81/0.62  % (8799)Time elapsed: 0.201 s
% 1.81/0.62  % (8799)Instructions burned: 37 (million)
% 1.81/0.62  % (8799)------------------------------
% 1.81/0.62  % (8799)------------------------------
% 1.81/0.63  % (8821)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.81/0.63  % (8818)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.13/0.63  % (8815)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.13/0.63  % (8804)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 2.13/0.63  % (8813)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.13/0.63  % (8809)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.13/0.63  % (8804)Instruction limit reached!
% 2.13/0.63  % (8804)------------------------------
% 2.13/0.63  % (8804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.63  % (8804)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.63  % (8804)Termination reason: Unknown
% 2.13/0.63  % (8804)Termination phase: Saturation
% 2.13/0.63  
% 2.13/0.63  % (8804)Memory used [KB]: 5884
% 2.13/0.63  % (8804)Time elapsed: 0.007 s
% 2.13/0.63  % (8804)Instructions burned: 7 (million)
% 2.13/0.63  % (8804)------------------------------
% 2.13/0.63  % (8804)------------------------------
% 2.13/0.64  Detected maximum model sizes of [30]
% 2.13/0.64  TRYING [1]
% 2.13/0.64  % (8822)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.13/0.65  % (8814)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.13/0.65  TRYING [4]
% 2.13/0.66  % (8800)Refutation found. Thanks to Tanya!
% 2.13/0.66  % SZS status Theorem for theBenchmark
% 2.13/0.66  % SZS output start Proof for theBenchmark
% See solution above
% 2.38/0.66  % (8800)------------------------------
% 2.38/0.66  % (8800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.66  % (8800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.66  % (8800)Termination reason: Refutation
% 2.38/0.66  
% 2.38/0.66  % (8800)Memory used [KB]: 7291
% 2.38/0.66  % (8800)Time elapsed: 0.222 s
% 2.38/0.66  % (8800)Instructions burned: 33 (million)
% 2.38/0.66  % (8800)------------------------------
% 2.38/0.66  % (8800)------------------------------
% 2.38/0.66  % (8796)Success in time 0.305 s
%------------------------------------------------------------------------------