TSTP Solution File: SYN486+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN486+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:27:13 EDT 2022

% Result   : Theorem 2.22s 0.69s
% Output   : Refutation 2.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  149
% Syntax   : Number of formulae    :  706 (   1 unt;   0 def)
%            Number of atoms       : 7832 (   0 equ)
%            Maximal formula atoms :  757 (  11 avg)
%            Number of connectives : 10646 (3520   ~;5085   |;1393   &)
%                                         ( 148 <=>; 500  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  116 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  185 ( 184 usr; 181 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   : 1109 (1109   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2858,plain,
    $false,
    inference(avatar_sat_refutation,[],[f261,f288,f297,f305,f318,f345,f349,f358,f363,f373,f400,f409,f431,f444,f452,f457,f464,f469,f474,f483,f489,f503,f508,f516,f524,f526,f530,f540,f541,f547,f551,f552,f567,f568,f573,f578,f582,f586,f592,f597,f603,f607,f612,f614,f619,f624,f629,f634,f639,f644,f645,f659,f667,f671,f679,f693,f698,f707,f712,f718,f723,f728,f734,f735,f741,f746,f751,f755,f760,f761,f766,f772,f781,f782,f783,f789,f790,f795,f805,f815,f821,f830,f831,f832,f833,f845,f850,f851,f852,f857,f862,f863,f868,f869,f885,f887,f893,f898,f904,f905,f906,f907,f912,f917,f922,f923,f933,f938,f941,f951,f954,f955,f961,f966,f972,f975,f980,f985,f990,f995,f1010,f1016,f1017,f1027,f1028,f1033,f1038,f1058,f1184,f1341,f1347,f1349,f1371,f1372,f1408,f1409,f1413,f1439,f1440,f1468,f1469,f1516,f1517,f1532,f1534,f1538,f1609,f1633,f1635,f1652,f1670,f1677,f1697,f1702,f1704,f1724,f1755,f1774,f1775,f1831,f1834,f1835,f1836,f1862,f1864,f1900,f1927,f1940,f1963,f1972,f1975,f2003,f2004,f2007,f2017,f2054,f2128,f2145,f2178,f2182,f2217,f2229,f2240,f2241,f2282,f2298,f2301,f2304,f2321,f2366,f2419,f2424,f2441,f2503,f2506,f2507,f2527,f2566,f2582,f2595,f2596,f2604,f2634,f2649,f2655,f2691,f2717,f2720,f2728,f2738,f2739,f2749,f2789,f2844,f2847,f2852,f2853,f2856]) ).

fof(f2856,plain,
    ( spl0_157
    | spl0_153
    | spl0_57
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f2819,f823,f500,f1024,f1050]) ).

fof(f1050,plain,
    ( spl0_157
  <=> c2_1(a2186) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1024,plain,
    ( spl0_153
  <=> c1_1(a2186) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f500,plain,
    ( spl0_57
  <=> c0_1(a2186) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f823,plain,
    ( spl0_119
  <=> ! [X46] :
        ( c1_1(X46)
        | c2_1(X46)
        | c0_1(X46) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f2819,plain,
    ( c1_1(a2186)
    | c2_1(a2186)
    | spl0_57
    | ~ spl0_119 ),
    inference(resolution,[],[f824,f502]) ).

fof(f502,plain,
    ( ~ c0_1(a2186)
    | spl0_57 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f824,plain,
    ( ! [X46] :
        ( c0_1(X46)
        | c1_1(X46)
        | c2_1(X46) )
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f823]) ).

fof(f2853,plain,
    ( spl0_63
    | ~ spl0_48
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f2833,f823,f459,f528]) ).

fof(f528,plain,
    ( spl0_63
  <=> ! [X84] :
        ( c1_1(X84)
        | c3_1(X84)
        | c2_1(X84) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f459,plain,
    ( spl0_48
  <=> ! [X77] :
        ( ~ c0_1(X77)
        | c1_1(X77)
        | c3_1(X77) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f2833,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_48
    | ~ spl0_119 ),
    inference(duplicate_literal_removal,[],[f2809]) ).

fof(f2809,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_48
    | ~ spl0_119 ),
    inference(resolution,[],[f824,f460]) ).

fof(f460,plain,
    ( ! [X77] :
        ( ~ c0_1(X77)
        | c3_1(X77)
        | c1_1(X77) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f2852,plain,
    ( spl0_63
    | ~ spl0_13
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f2834,f823,f303,f528]) ).

fof(f303,plain,
    ( spl0_13
  <=> ! [X95] :
        ( c3_1(X95)
        | ~ c0_1(X95)
        | c2_1(X95) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f2834,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_13
    | ~ spl0_119 ),
    inference(duplicate_literal_removal,[],[f2808]) ).

fof(f2808,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_13
    | ~ spl0_119 ),
    inference(resolution,[],[f824,f304]) ).

fof(f304,plain,
    ( ! [X95] :
        ( ~ c0_1(X95)
        | c2_1(X95)
        | c3_1(X95) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f2847,plain,
    ( spl0_174
    | spl0_147
    | spl0_105
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f2815,f823,f748,f992,f1344]) ).

fof(f1344,plain,
    ( spl0_174
  <=> c2_1(a2177) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f992,plain,
    ( spl0_147
  <=> c1_1(a2177) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f748,plain,
    ( spl0_105
  <=> c0_1(a2177) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f2815,plain,
    ( c1_1(a2177)
    | c2_1(a2177)
    | spl0_105
    | ~ spl0_119 ),
    inference(resolution,[],[f824,f750]) ).

fof(f750,plain,
    ( ~ c0_1(a2177)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f2844,plain,
    ( spl0_173
    | spl0_104
    | spl0_103
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f2826,f823,f738,f743,f1338]) ).

fof(f1338,plain,
    ( spl0_173
  <=> c1_1(a2211) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f743,plain,
    ( spl0_104
  <=> c2_1(a2211) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f738,plain,
    ( spl0_103
  <=> c0_1(a2211) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f2826,plain,
    ( c2_1(a2211)
    | c1_1(a2211)
    | spl0_103
    | ~ spl0_119 ),
    inference(resolution,[],[f824,f740]) ).

fof(f740,plain,
    ( ~ c0_1(a2211)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f2789,plain,
    ( spl0_154
    | ~ spl0_135
    | ~ spl0_49
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f2788,f1286,f462,f919,f1030]) ).

fof(f1030,plain,
    ( spl0_154
  <=> c0_1(a2176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f919,plain,
    ( spl0_135
  <=> c1_1(a2176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f462,plain,
    ( spl0_49
  <=> ! [X76] :
        ( ~ c1_1(X76)
        | ~ c2_1(X76)
        | c0_1(X76) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1286,plain,
    ( spl0_171
  <=> c2_1(a2176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f2788,plain,
    ( ~ c1_1(a2176)
    | c0_1(a2176)
    | ~ spl0_49
    | ~ spl0_171 ),
    inference(resolution,[],[f1288,f463]) ).

fof(f463,plain,
    ( ! [X76] :
        ( ~ c2_1(X76)
        | c0_1(X76)
        | ~ c1_1(X76) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f1288,plain,
    ( c2_1(a2176)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1286]) ).

fof(f2749,plain,
    ( spl0_85
    | spl0_88
    | ~ spl0_106
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2744,f935,f753,f656,f641]) ).

fof(f641,plain,
    ( spl0_85
  <=> c2_1(a2198) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f656,plain,
    ( spl0_88
  <=> c1_1(a2198) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f753,plain,
    ( spl0_106
  <=> ! [X37] :
        ( c2_1(X37)
        | ~ c0_1(X37)
        | c1_1(X37) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f935,plain,
    ( spl0_138
  <=> c0_1(a2198) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2744,plain,
    ( c1_1(a2198)
    | c2_1(a2198)
    | ~ spl0_106
    | ~ spl0_138 ),
    inference(resolution,[],[f937,f754]) ).

fof(f754,plain,
    ( ! [X37] :
        ( ~ c0_1(X37)
        | c1_1(X37)
        | c2_1(X37) )
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f937,plain,
    ( c0_1(a2198)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f2739,plain,
    ( spl0_175
    | spl0_51
    | ~ spl0_106
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2734,f930,f753,f471,f1354]) ).

fof(f1354,plain,
    ( spl0_175
  <=> c1_1(a2194) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f471,plain,
    ( spl0_51
  <=> c2_1(a2194) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f930,plain,
    ( spl0_137
  <=> c0_1(a2194) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2734,plain,
    ( c2_1(a2194)
    | c1_1(a2194)
    | ~ spl0_106
    | ~ spl0_137 ),
    inference(resolution,[],[f932,f754]) ).

fof(f932,plain,
    ( c0_1(a2194)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f2738,plain,
    ( spl0_51
    | ~ spl0_175
    | ~ spl0_61
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2733,f930,f518,f1354,f471]) ).

fof(f518,plain,
    ( spl0_61
  <=> ! [X101] :
        ( ~ c0_1(X101)
        | ~ c1_1(X101)
        | c2_1(X101) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f2733,plain,
    ( ~ c1_1(a2194)
    | c2_1(a2194)
    | ~ spl0_61
    | ~ spl0_137 ),
    inference(resolution,[],[f932,f519]) ).

fof(f519,plain,
    ( ! [X101] :
        ( ~ c0_1(X101)
        | ~ c1_1(X101)
        | c2_1(X101) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f2728,plain,
    ( spl0_171
    | spl0_2
    | ~ spl0_82
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2727,f919,f626,f258,f1286]) ).

fof(f258,plain,
    ( spl0_2
  <=> c3_1(a2176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f626,plain,
    ( spl0_82
  <=> ! [X15] :
        ( ~ c1_1(X15)
        | c2_1(X15)
        | c3_1(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f2727,plain,
    ( c3_1(a2176)
    | c2_1(a2176)
    | ~ spl0_82
    | ~ spl0_135 ),
    inference(resolution,[],[f921,f627]) ).

fof(f627,plain,
    ( ! [X15] :
        ( ~ c1_1(X15)
        | c3_1(X15)
        | c2_1(X15) )
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f921,plain,
    ( c1_1(a2176)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f2720,plain,
    ( spl0_142
    | spl0_65
    | ~ spl0_13
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2712,f842,f303,f537,f963]) ).

fof(f963,plain,
    ( spl0_142
  <=> c3_1(a2216) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f537,plain,
    ( spl0_65
  <=> c2_1(a2216) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f842,plain,
    ( spl0_122
  <=> c0_1(a2216) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f2712,plain,
    ( c2_1(a2216)
    | c3_1(a2216)
    | ~ spl0_13
    | ~ spl0_122 ),
    inference(resolution,[],[f844,f304]) ).

fof(f844,plain,
    ( c0_1(a2216)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f2717,plain,
    ( spl0_161
    | spl0_142
    | ~ spl0_48
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2713,f842,f459,f963,f1109]) ).

fof(f1109,plain,
    ( spl0_161
  <=> c1_1(a2216) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f2713,plain,
    ( c3_1(a2216)
    | c1_1(a2216)
    | ~ spl0_48
    | ~ spl0_122 ),
    inference(resolution,[],[f844,f460]) ).

fof(f2691,plain,
    ( spl0_170
    | ~ spl0_151
    | ~ spl0_61
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2689,f731,f518,f1013,f1278]) ).

fof(f1278,plain,
    ( spl0_170
  <=> c2_1(a2184) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f1013,plain,
    ( spl0_151
  <=> c1_1(a2184) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f731,plain,
    ( spl0_102
  <=> c0_1(a2184) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f2689,plain,
    ( ~ c1_1(a2184)
    | c2_1(a2184)
    | ~ spl0_61
    | ~ spl0_102 ),
    inference(resolution,[],[f733,f519]) ).

fof(f733,plain,
    ( c0_1(a2184)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f2655,plain,
    ( spl0_166
    | ~ spl0_132
    | ~ spl0_47
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f2652,f514,f454,f901,f1218]) ).

fof(f1218,plain,
    ( spl0_166
  <=> c1_1(a2178) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f901,plain,
    ( spl0_132
  <=> c2_1(a2178) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f454,plain,
    ( spl0_47
  <=> c0_1(a2178) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f514,plain,
    ( spl0_60
  <=> ! [X27] :
        ( ~ c2_1(X27)
        | c1_1(X27)
        | ~ c0_1(X27) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f2652,plain,
    ( ~ c2_1(a2178)
    | c1_1(a2178)
    | ~ spl0_47
    | ~ spl0_60 ),
    inference(resolution,[],[f456,f515]) ).

fof(f515,plain,
    ( ! [X27] :
        ( ~ c0_1(X27)
        | ~ c2_1(X27)
        | c1_1(X27) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f456,plain,
    ( c0_1(a2178)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f2649,plain,
    ( ~ spl0_36
    | spl0_108
    | ~ spl0_67
    | ~ spl0_184 ),
    inference(avatar_split_clause,[],[f2641,f2020,f549,f763,f406]) ).

fof(f406,plain,
    ( spl0_36
  <=> c1_1(a2181) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f763,plain,
    ( spl0_108
  <=> c3_1(a2181) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f549,plain,
    ( spl0_67
  <=> ! [X72] :
        ( c3_1(X72)
        | ~ c0_1(X72)
        | ~ c1_1(X72) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f2020,plain,
    ( spl0_184
  <=> c0_1(a2181) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f2641,plain,
    ( c3_1(a2181)
    | ~ c1_1(a2181)
    | ~ spl0_67
    | ~ spl0_184 ),
    inference(resolution,[],[f2022,f550]) ).

fof(f550,plain,
    ( ! [X72] :
        ( ~ c0_1(X72)
        | ~ c1_1(X72)
        | c3_1(X72) )
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f2022,plain,
    ( c0_1(a2181)
    | ~ spl0_184 ),
    inference(avatar_component_clause,[],[f2020]) ).

fof(f2634,plain,
    ( ~ spl0_182
    | spl0_75
    | ~ spl0_58
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f2627,f807,f505,f589,f1870]) ).

fof(f1870,plain,
    ( spl0_182
  <=> c0_1(a2193) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f589,plain,
    ( spl0_75
  <=> c2_1(a2193) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f505,plain,
    ( spl0_58
  <=> c3_1(a2193) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f807,plain,
    ( spl0_116
  <=> ! [X53] :
        ( c2_1(X53)
        | ~ c0_1(X53)
        | ~ c3_1(X53) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f2627,plain,
    ( c2_1(a2193)
    | ~ c0_1(a2193)
    | ~ spl0_58
    | ~ spl0_116 ),
    inference(resolution,[],[f808,f507]) ).

fof(f507,plain,
    ( c3_1(a2193)
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f808,plain,
    ( ! [X53] :
        ( ~ c3_1(X53)
        | c2_1(X53)
        | ~ c0_1(X53) )
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f2604,plain,
    ( ~ spl0_160
    | spl0_97
    | ~ spl0_79
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f2599,f779,f609,f704,f1089]) ).

fof(f1089,plain,
    ( spl0_160
  <=> c1_1(a2182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f704,plain,
    ( spl0_97
  <=> c0_1(a2182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f609,plain,
    ( spl0_79
  <=> c3_1(a2182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f779,plain,
    ( spl0_111
  <=> ! [X32] :
        ( ~ c1_1(X32)
        | ~ c3_1(X32)
        | c0_1(X32) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f2599,plain,
    ( c0_1(a2182)
    | ~ c1_1(a2182)
    | ~ spl0_79
    | ~ spl0_111 ),
    inference(resolution,[],[f780,f611]) ).

fof(f611,plain,
    ( c3_1(a2182)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f609]) ).

fof(f780,plain,
    ( ! [X32] :
        ( ~ c3_1(X32)
        | ~ c1_1(X32)
        | c0_1(X32) )
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f2596,plain,
    ( spl0_77
    | ~ spl0_182
    | ~ spl0_58
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f2589,f662,f505,f1870,f600]) ).

fof(f600,plain,
    ( spl0_77
  <=> c1_1(a2193) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f662,plain,
    ( spl0_89
  <=> ! [X22] :
        ( ~ c0_1(X22)
        | ~ c3_1(X22)
        | c1_1(X22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f2589,plain,
    ( ~ c0_1(a2193)
    | c1_1(a2193)
    | ~ spl0_58
    | ~ spl0_89 ),
    inference(resolution,[],[f663,f507]) ).

fof(f663,plain,
    ( ! [X22] :
        ( ~ c3_1(X22)
        | c1_1(X22)
        | ~ c0_1(X22) )
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f2595,plain,
    ( ~ spl0_168
    | spl0_133
    | ~ spl0_89
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2590,f882,f662,f909,f1244]) ).

fof(f1244,plain,
    ( spl0_168
  <=> c0_1(a2197) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f909,plain,
    ( spl0_133
  <=> c1_1(a2197) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f882,plain,
    ( spl0_129
  <=> c3_1(a2197) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2590,plain,
    ( c1_1(a2197)
    | ~ c0_1(a2197)
    | ~ spl0_89
    | ~ spl0_129 ),
    inference(resolution,[],[f663,f884]) ).

fof(f884,plain,
    ( c3_1(a2197)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f2582,plain,
    ( spl0_112
    | ~ spl0_115
    | ~ spl0_74
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2579,f948,f584,f802,f786]) ).

fof(f786,plain,
    ( spl0_112
  <=> c2_1(a2265) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f802,plain,
    ( spl0_115
  <=> c1_1(a2265) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f584,plain,
    ( spl0_74
  <=> ! [X117] :
        ( ~ c3_1(X117)
        | ~ c1_1(X117)
        | c2_1(X117) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f948,plain,
    ( spl0_140
  <=> c3_1(a2265) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2579,plain,
    ( ~ c1_1(a2265)
    | c2_1(a2265)
    | ~ spl0_74
    | ~ spl0_140 ),
    inference(resolution,[],[f585,f950]) ).

fof(f950,plain,
    ( c3_1(a2265)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f948]) ).

fof(f585,plain,
    ( ! [X117] :
        ( ~ c3_1(X117)
        | c2_1(X117)
        | ~ c1_1(X117) )
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f584]) ).

fof(f2566,plain,
    ( ~ spl0_71
    | ~ spl0_109
    | ~ spl0_45
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f2563,f1478,f447,f769,f570]) ).

fof(f570,plain,
    ( spl0_71
  <=> c0_1(a2188) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f769,plain,
    ( spl0_109
  <=> c2_1(a2188) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f447,plain,
    ( spl0_45
  <=> ! [X24] :
        ( ~ c2_1(X24)
        | ~ c3_1(X24)
        | ~ c0_1(X24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1478,plain,
    ( spl0_179
  <=> c3_1(a2188) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f2563,plain,
    ( ~ c2_1(a2188)
    | ~ c0_1(a2188)
    | ~ spl0_45
    | ~ spl0_179 ),
    inference(resolution,[],[f1480,f448]) ).

fof(f448,plain,
    ( ! [X24] :
        ( ~ c3_1(X24)
        | ~ c0_1(X24)
        | ~ c2_1(X24) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f1480,plain,
    ( c3_1(a2188)
    | ~ spl0_179 ),
    inference(avatar_component_clause,[],[f1478]) ).

fof(f2527,plain,
    ( ~ spl0_141
    | ~ spl0_168
    | ~ spl0_45
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2523,f882,f447,f1244,f958]) ).

fof(f958,plain,
    ( spl0_141
  <=> c2_1(a2197) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f2523,plain,
    ( ~ c0_1(a2197)
    | ~ c2_1(a2197)
    | ~ spl0_45
    | ~ spl0_129 ),
    inference(resolution,[],[f884,f448]) ).

fof(f2507,plain,
    ( spl0_51
    | spl0_175
    | ~ spl0_106
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2490,f930,f753,f1354,f471]) ).

fof(f2490,plain,
    ( c1_1(a2194)
    | c2_1(a2194)
    | ~ spl0_106
    | ~ spl0_137 ),
    inference(resolution,[],[f754,f932]) ).

fof(f2506,plain,
    ( spl0_159
    | spl0_83
    | ~ spl0_50
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2487,f753,f466,f631,f1060]) ).

fof(f1060,plain,
    ( spl0_159
  <=> c2_1(a2180) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f631,plain,
    ( spl0_83
  <=> c1_1(a2180) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f466,plain,
    ( spl0_50
  <=> c0_1(a2180) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f2487,plain,
    ( c1_1(a2180)
    | c2_1(a2180)
    | ~ spl0_50
    | ~ spl0_106 ),
    inference(resolution,[],[f754,f468]) ).

fof(f468,plain,
    ( c0_1(a2180)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f2503,plain,
    ( spl0_145
    | spl0_163
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2489,f757,f753,f1129,f982]) ).

fof(f982,plain,
    ( spl0_145
  <=> c1_1(a2191) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1129,plain,
    ( spl0_163
  <=> c2_1(a2191) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f757,plain,
    ( spl0_107
  <=> c0_1(a2191) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2489,plain,
    ( c2_1(a2191)
    | c1_1(a2191)
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(resolution,[],[f754,f759]) ).

fof(f759,plain,
    ( c0_1(a2191)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f2441,plain,
    ( spl0_108
    | spl0_184
    | ~ spl0_36
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f2434,f696,f406,f2020,f763]) ).

fof(f696,plain,
    ( spl0_95
  <=> ! [X120] :
        ( c0_1(X120)
        | ~ c1_1(X120)
        | c3_1(X120) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f2434,plain,
    ( c0_1(a2181)
    | c3_1(a2181)
    | ~ spl0_36
    | ~ spl0_95 ),
    inference(resolution,[],[f697,f408]) ).

fof(f408,plain,
    ( c1_1(a2181)
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f697,plain,
    ( ! [X120] :
        ( ~ c1_1(X120)
        | c0_1(X120)
        | c3_1(X120) )
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f2424,plain,
    ( spl0_162
    | spl0_84
    | ~ spl0_90
    | spl0_131 ),
    inference(avatar_split_clause,[],[f2405,f895,f665,f636,f1116]) ).

fof(f1116,plain,
    ( spl0_162
  <=> c0_1(a2195) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f636,plain,
    ( spl0_84
  <=> c2_1(a2195) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f665,plain,
    ( spl0_90
  <=> ! [X21] :
        ( c0_1(X21)
        | c2_1(X21)
        | c3_1(X21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f895,plain,
    ( spl0_131
  <=> c3_1(a2195) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f2405,plain,
    ( c2_1(a2195)
    | c0_1(a2195)
    | ~ spl0_90
    | spl0_131 ),
    inference(resolution,[],[f666,f897]) ).

fof(f897,plain,
    ( ~ c3_1(a2195)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f895]) ).

fof(f666,plain,
    ( ! [X21] :
        ( c3_1(X21)
        | c0_1(X21)
        | c2_1(X21) )
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f2419,plain,
    ( spl0_119
    | ~ spl0_32
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f2413,f665,f389,f823]) ).

fof(f389,plain,
    ( spl0_32
  <=> ! [X17] :
        ( ~ c3_1(X17)
        | c1_1(X17)
        | c0_1(X17) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f2413,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_32
    | ~ spl0_90 ),
    inference(duplicate_literal_removal,[],[f2393]) ).

fof(f2393,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c0_1(X1)
        | c0_1(X1) )
    | ~ spl0_32
    | ~ spl0_90 ),
    inference(resolution,[],[f666,f390]) ).

fof(f390,plain,
    ( ! [X17] :
        ( ~ c3_1(X17)
        | c1_1(X17)
        | c0_1(X17) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f2366,plain,
    ( ~ spl0_157
    | spl0_153
    | ~ spl0_28
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f2356,f580,f370,f1024,f1050]) ).

fof(f370,plain,
    ( spl0_28
  <=> c3_1(a2186) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f580,plain,
    ( spl0_73
  <=> ! [X91] :
        ( ~ c3_1(X91)
        | c1_1(X91)
        | ~ c2_1(X91) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f2356,plain,
    ( c1_1(a2186)
    | ~ c2_1(a2186)
    | ~ spl0_28
    | ~ spl0_73 ),
    inference(resolution,[],[f581,f372]) ).

fof(f372,plain,
    ( c3_1(a2186)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f581,plain,
    ( ! [X91] :
        ( ~ c3_1(X91)
        | c1_1(X91)
        | ~ c2_1(X91) )
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f2321,plain,
    ( spl0_179
    | ~ spl0_109
    | ~ spl0_44
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f2315,f570,f442,f769,f1478]) ).

fof(f442,plain,
    ( spl0_44
  <=> ! [X66] :
        ( ~ c2_1(X66)
        | ~ c0_1(X66)
        | c3_1(X66) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f2315,plain,
    ( ~ c2_1(a2188)
    | c3_1(a2188)
    | ~ spl0_44
    | ~ spl0_71 ),
    inference(resolution,[],[f443,f572]) ).

fof(f572,plain,
    ( c0_1(a2188)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f443,plain,
    ( ! [X66] :
        ( ~ c0_1(X66)
        | c3_1(X66)
        | ~ c2_1(X66) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f2304,plain,
    ( ~ spl0_141
    | spl0_133
    | ~ spl0_60
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f2303,f1244,f514,f909,f958]) ).

fof(f2303,plain,
    ( c1_1(a2197)
    | ~ c2_1(a2197)
    | ~ spl0_60
    | ~ spl0_168 ),
    inference(resolution,[],[f1245,f515]) ).

fof(f1245,plain,
    ( c0_1(a2197)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1244]) ).

fof(f2301,plain,
    ( spl0_57
    | spl0_153
    | ~ spl0_28
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f2292,f389,f370,f1024,f500]) ).

fof(f2292,plain,
    ( c1_1(a2186)
    | c0_1(a2186)
    | ~ spl0_28
    | ~ spl0_32 ),
    inference(resolution,[],[f390,f372]) ).

fof(f2298,plain,
    ( spl0_182
    | spl0_77
    | ~ spl0_32
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f2293,f505,f389,f600,f1870]) ).

fof(f2293,plain,
    ( c1_1(a2193)
    | c0_1(a2193)
    | ~ spl0_32
    | ~ spl0_58 ),
    inference(resolution,[],[f390,f507]) ).

fof(f2282,plain,
    ( spl0_57
    | spl0_157
    | ~ spl0_8
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f2276,f370,f283,f1050,f500]) ).

fof(f283,plain,
    ( spl0_8
  <=> ! [X58] :
        ( c2_1(X58)
        | c0_1(X58)
        | ~ c3_1(X58) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f2276,plain,
    ( c2_1(a2186)
    | c0_1(a2186)
    | ~ spl0_8
    | ~ spl0_28 ),
    inference(resolution,[],[f284,f372]) ).

fof(f284,plain,
    ( ! [X58] :
        ( ~ c3_1(X58)
        | c2_1(X58)
        | c0_1(X58) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f283]) ).

fof(f2241,plain,
    ( spl0_123
    | ~ spl0_150
    | ~ spl0_60
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f2239,f1401,f514,f1007,f847]) ).

fof(f847,plain,
    ( spl0_123
  <=> c1_1(a2219) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1007,plain,
    ( spl0_150
  <=> c2_1(a2219) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1401,plain,
    ( spl0_176
  <=> c0_1(a2219) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f2239,plain,
    ( ~ c2_1(a2219)
    | c1_1(a2219)
    | ~ spl0_60
    | ~ spl0_176 ),
    inference(resolution,[],[f1403,f515]) ).

fof(f1403,plain,
    ( c0_1(a2219)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f1401]) ).

fof(f2240,plain,
    ( spl0_22
    | spl0_123
    | ~ spl0_48
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f2237,f1401,f459,f847,f342]) ).

fof(f342,plain,
    ( spl0_22
  <=> c3_1(a2219) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f2237,plain,
    ( c1_1(a2219)
    | c3_1(a2219)
    | ~ spl0_48
    | ~ spl0_176 ),
    inference(resolution,[],[f1403,f460]) ).

fof(f2229,plain,
    ( ~ spl0_175
    | ~ spl0_137
    | ~ spl0_24
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f2221,f522,f351,f930,f1354]) ).

fof(f351,plain,
    ( spl0_24
  <=> c3_1(a2194) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f522,plain,
    ( spl0_62
  <=> ! [X88] :
        ( ~ c1_1(X88)
        | ~ c3_1(X88)
        | ~ c0_1(X88) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f2221,plain,
    ( ~ c0_1(a2194)
    | ~ c1_1(a2194)
    | ~ spl0_24
    | ~ spl0_62 ),
    inference(resolution,[],[f523,f353]) ).

fof(f353,plain,
    ( c3_1(a2194)
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f523,plain,
    ( ! [X88] :
        ( ~ c3_1(X88)
        | ~ c0_1(X88)
        | ~ c1_1(X88) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f2217,plain,
    ( ~ spl0_72
    | spl0_120
    | ~ spl0_49
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2216,f977,f462,f827,f575]) ).

fof(f575,plain,
    ( spl0_72
  <=> c1_1(a2174) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f827,plain,
    ( spl0_120
  <=> c0_1(a2174) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f977,plain,
    ( spl0_144
  <=> c2_1(a2174) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2216,plain,
    ( c0_1(a2174)
    | ~ c1_1(a2174)
    | ~ spl0_49
    | ~ spl0_144 ),
    inference(resolution,[],[f979,f463]) ).

fof(f979,plain,
    ( c2_1(a2174)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f977]) ).

fof(f2182,plain,
    ( spl0_145
    | spl0_70
    | ~ spl0_48
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2169,f757,f459,f564,f982]) ).

fof(f564,plain,
    ( spl0_70
  <=> c3_1(a2191) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f2169,plain,
    ( c3_1(a2191)
    | c1_1(a2191)
    | ~ spl0_48
    | ~ spl0_107 ),
    inference(resolution,[],[f460,f759]) ).

fof(f2178,plain,
    ( spl0_131
    | spl0_126
    | ~ spl0_48
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2170,f1116,f459,f865,f895]) ).

fof(f865,plain,
    ( spl0_126
  <=> c1_1(a2195) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f2170,plain,
    ( c1_1(a2195)
    | c3_1(a2195)
    | ~ spl0_48
    | ~ spl0_162 ),
    inference(resolution,[],[f460,f1118]) ).

fof(f1118,plain,
    ( c0_1(a2195)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1116]) ).

fof(f2145,plain,
    ( ~ spl0_80
    | spl0_146
    | ~ spl0_49
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2144,f1055,f462,f987,f616]) ).

fof(f616,plain,
    ( spl0_80
  <=> c1_1(a2262) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f987,plain,
    ( spl0_146
  <=> c0_1(a2262) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f1055,plain,
    ( spl0_158
  <=> c2_1(a2262) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f2144,plain,
    ( c0_1(a2262)
    | ~ c1_1(a2262)
    | ~ spl0_49
    | ~ spl0_158 ),
    inference(resolution,[],[f1056,f463]) ).

fof(f1056,plain,
    ( c2_1(a2262)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1055]) ).

fof(f2128,plain,
    ( spl0_70
    | spl0_163
    | ~ spl0_13
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2119,f757,f303,f1129,f564]) ).

fof(f2119,plain,
    ( c2_1(a2191)
    | c3_1(a2191)
    | ~ spl0_13
    | ~ spl0_107 ),
    inference(resolution,[],[f304,f759]) ).

fof(f2054,plain,
    ( ~ spl0_132
    | ~ spl0_166
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f2050,f360,f275,f1218,f901]) ).

fof(f275,plain,
    ( spl0_6
  <=> ! [X118] :
        ( ~ c3_1(X118)
        | ~ c2_1(X118)
        | ~ c1_1(X118) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f360,plain,
    ( spl0_26
  <=> c3_1(a2178) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f2050,plain,
    ( ~ c1_1(a2178)
    | ~ c2_1(a2178)
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(resolution,[],[f276,f362]) ).

fof(f362,plain,
    ( c3_1(a2178)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f276,plain,
    ( ! [X118] :
        ( ~ c3_1(X118)
        | ~ c2_1(X118)
        | ~ c1_1(X118) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f2017,plain,
    ( spl0_57
    | ~ spl0_157
    | ~ spl0_23
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f2014,f370,f347,f1050,f500]) ).

fof(f347,plain,
    ( spl0_23
  <=> ! [X43] :
        ( c0_1(X43)
        | ~ c3_1(X43)
        | ~ c2_1(X43) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f2014,plain,
    ( ~ c2_1(a2186)
    | c0_1(a2186)
    | ~ spl0_23
    | ~ spl0_28 ),
    inference(resolution,[],[f372,f348]) ).

fof(f348,plain,
    ( ! [X43] :
        ( ~ c3_1(X43)
        | ~ c2_1(X43)
        | c0_1(X43) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f2007,plain,
    ( spl0_145
    | ~ spl0_163
    | ~ spl0_60
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1985,f757,f514,f1129,f982]) ).

fof(f1985,plain,
    ( ~ c2_1(a2191)
    | c1_1(a2191)
    | ~ spl0_60
    | ~ spl0_107 ),
    inference(resolution,[],[f515,f759]) ).

fof(f2004,plain,
    ( spl0_83
    | ~ spl0_159
    | ~ spl0_50
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f1979,f514,f466,f1060,f631]) ).

fof(f1979,plain,
    ( ~ c2_1(a2180)
    | c1_1(a2180)
    | ~ spl0_50
    | ~ spl0_60 ),
    inference(resolution,[],[f515,f468]) ).

fof(f2003,plain,
    ( spl0_10
    | ~ spl0_54
    | ~ spl0_60
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1984,f1035,f514,f486,f290]) ).

fof(f290,plain,
    ( spl0_10
  <=> c1_1(a2187) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f486,plain,
    ( spl0_54
  <=> c2_1(a2187) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f1035,plain,
    ( spl0_155
  <=> c0_1(a2187) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1984,plain,
    ( ~ c2_1(a2187)
    | c1_1(a2187)
    | ~ spl0_60
    | ~ spl0_155 ),
    inference(resolution,[],[f515,f1037]) ).

fof(f1037,plain,
    ( c0_1(a2187)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1035]) ).

fof(f1975,plain,
    ( ~ spl0_33
    | spl0_97
    | ~ spl0_23
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1950,f609,f347,f704,f393]) ).

fof(f393,plain,
    ( spl0_33
  <=> c2_1(a2182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1950,plain,
    ( c0_1(a2182)
    | ~ c2_1(a2182)
    | ~ spl0_23
    | ~ spl0_79 ),
    inference(resolution,[],[f348,f611]) ).

fof(f1972,plain,
    ( ~ spl0_141
    | spl0_168
    | ~ spl0_23
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1954,f882,f347,f1244,f958]) ).

fof(f1954,plain,
    ( c0_1(a2197)
    | ~ c2_1(a2197)
    | ~ spl0_23
    | ~ spl0_129 ),
    inference(resolution,[],[f348,f884]) ).

fof(f1963,plain,
    ( ~ spl0_158
    | spl0_146
    | ~ spl0_23
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1957,f725,f347,f987,f1055]) ).

fof(f725,plain,
    ( spl0_101
  <=> c3_1(a2262) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1957,plain,
    ( c0_1(a2262)
    | ~ c2_1(a2262)
    | ~ spl0_23
    | ~ spl0_101 ),
    inference(resolution,[],[f348,f727]) ).

fof(f727,plain,
    ( c3_1(a2262)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f1940,plain,
    ( spl0_172
    | spl0_10
    | ~ spl0_9
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1932,f486,f286,f290,f1314]) ).

fof(f1314,plain,
    ( spl0_172
  <=> c3_1(a2187) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f286,plain,
    ( spl0_9
  <=> ! [X57] :
        ( c3_1(X57)
        | ~ c2_1(X57)
        | c1_1(X57) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1932,plain,
    ( c1_1(a2187)
    | c3_1(a2187)
    | ~ spl0_9
    | ~ spl0_54 ),
    inference(resolution,[],[f287,f488]) ).

fof(f488,plain,
    ( c2_1(a2187)
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f287,plain,
    ( ! [X57] :
        ( ~ c2_1(X57)
        | c3_1(X57)
        | c1_1(X57) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f1927,plain,
    ( spl0_168
    | spl0_133
    | ~ spl0_39
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1926,f958,f420,f909,f1244]) ).

fof(f420,plain,
    ( spl0_39
  <=> ! [X74] :
        ( c1_1(X74)
        | c0_1(X74)
        | ~ c2_1(X74) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1926,plain,
    ( c1_1(a2197)
    | c0_1(a2197)
    | ~ spl0_39
    | ~ spl0_141 ),
    inference(resolution,[],[f960,f421]) ).

fof(f421,plain,
    ( ! [X74] :
        ( ~ c2_1(X74)
        | c0_1(X74)
        | c1_1(X74) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f960,plain,
    ( c2_1(a2197)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f958]) ).

fof(f1900,plain,
    ( spl0_177
    | ~ spl0_124
    | ~ spl0_49
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1891,f686,f462,f854,f1447]) ).

fof(f1447,plain,
    ( spl0_177
  <=> c0_1(a2196) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f854,plain,
    ( spl0_124
  <=> c1_1(a2196) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f686,plain,
    ( spl0_93
  <=> c2_1(a2196) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1891,plain,
    ( ~ c1_1(a2196)
    | c0_1(a2196)
    | ~ spl0_49
    | ~ spl0_93 ),
    inference(resolution,[],[f463,f688]) ).

fof(f688,plain,
    ( c2_1(a2196)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f686]) ).

fof(f1864,plain,
    ( spl0_2
    | spl0_154
    | ~ spl0_95
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1839,f919,f696,f1030,f258]) ).

fof(f1839,plain,
    ( c0_1(a2176)
    | c3_1(a2176)
    | ~ spl0_95
    | ~ spl0_135 ),
    inference(resolution,[],[f697,f921]) ).

fof(f1862,plain,
    ( spl0_113
    | spl0_103
    | ~ spl0_95
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1845,f1338,f696,f738,f792]) ).

fof(f792,plain,
    ( spl0_113
  <=> c3_1(a2211) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1845,plain,
    ( c0_1(a2211)
    | c3_1(a2211)
    | ~ spl0_95
    | ~ spl0_173 ),
    inference(resolution,[],[f697,f1340]) ).

fof(f1340,plain,
    ( c1_1(a2211)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1338]) ).

fof(f1836,plain,
    ( spl0_98
    | spl0_53
    | ~ spl0_91
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1812,f859,f669,f480,f709]) ).

fof(f709,plain,
    ( spl0_98
  <=> c0_1(a2175) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f480,plain,
    ( spl0_53
  <=> c3_1(a2175) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f669,plain,
    ( spl0_91
  <=> ! [X80] :
        ( c0_1(X80)
        | ~ c2_1(X80)
        | c3_1(X80) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f859,plain,
    ( spl0_125
  <=> c2_1(a2175) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1812,plain,
    ( c3_1(a2175)
    | c0_1(a2175)
    | ~ spl0_91
    | ~ spl0_125 ),
    inference(resolution,[],[f670,f861]) ).

fof(f861,plain,
    ( c2_1(a2175)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f859]) ).

fof(f670,plain,
    ( ! [X80] :
        ( ~ c2_1(X80)
        | c0_1(X80)
        | c3_1(X80) )
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f1835,plain,
    ( spl0_176
    | spl0_22
    | ~ spl0_91
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1820,f1007,f669,f342,f1401]) ).

fof(f1820,plain,
    ( c3_1(a2219)
    | c0_1(a2219)
    | ~ spl0_91
    | ~ spl0_150 ),
    inference(resolution,[],[f670,f1009]) ).

fof(f1009,plain,
    ( c2_1(a2219)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1007]) ).

fof(f1834,plain,
    ( spl0_154
    | spl0_2
    | ~ spl0_91
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1813,f1286,f669,f258,f1030]) ).

fof(f1813,plain,
    ( c3_1(a2176)
    | c0_1(a2176)
    | ~ spl0_91
    | ~ spl0_171 ),
    inference(resolution,[],[f670,f1288]) ).

fof(f1831,plain,
    ( spl0_105
    | spl0_76
    | ~ spl0_91
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1814,f1344,f669,f594,f748]) ).

fof(f594,plain,
    ( spl0_76
  <=> c3_1(a2177) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1814,plain,
    ( c3_1(a2177)
    | c0_1(a2177)
    | ~ spl0_91
    | ~ spl0_174 ),
    inference(resolution,[],[f670,f1346]) ).

fof(f1346,plain,
    ( c2_1(a2177)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1344]) ).

fof(f1775,plain,
    ( ~ spl0_93
    | ~ spl0_177
    | ~ spl0_45
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1766,f812,f447,f1447,f686]) ).

fof(f812,plain,
    ( spl0_117
  <=> c3_1(a2196) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1766,plain,
    ( ~ c0_1(a2196)
    | ~ c2_1(a2196)
    | ~ spl0_45
    | ~ spl0_117 ),
    inference(resolution,[],[f448,f814]) ).

fof(f814,plain,
    ( c3_1(a2196)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f1774,plain,
    ( ~ spl0_47
    | ~ spl0_132
    | ~ spl0_26
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1765,f447,f360,f901,f454]) ).

fof(f1765,plain,
    ( ~ c2_1(a2178)
    | ~ c0_1(a2178)
    | ~ spl0_26
    | ~ spl0_45 ),
    inference(resolution,[],[f448,f362]) ).

fof(f1755,plain,
    ( ~ spl0_137
    | spl0_175
    | ~ spl0_24
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1740,f662,f351,f1354,f930]) ).

fof(f1740,plain,
    ( c1_1(a2194)
    | ~ c0_1(a2194)
    | ~ spl0_24
    | ~ spl0_89 ),
    inference(resolution,[],[f663,f353]) ).

fof(f1724,plain,
    ( spl0_104
    | spl0_113
    | ~ spl0_82
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1713,f1338,f626,f792,f743]) ).

fof(f1713,plain,
    ( c3_1(a2211)
    | c2_1(a2211)
    | ~ spl0_82
    | ~ spl0_173 ),
    inference(resolution,[],[f627,f1340]) ).

fof(f1704,plain,
    ( ~ spl0_135
    | spl0_2
    | ~ spl0_78
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1681,f1286,f605,f258,f919]) ).

fof(f605,plain,
    ( spl0_78
  <=> ! [X85] :
        ( ~ c1_1(X85)
        | ~ c2_1(X85)
        | c3_1(X85) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1681,plain,
    ( c3_1(a2176)
    | ~ c1_1(a2176)
    | ~ spl0_78
    | ~ spl0_171 ),
    inference(resolution,[],[f606,f1288]) ).

fof(f606,plain,
    ( ! [X85] :
        ( ~ c2_1(X85)
        | c3_1(X85)
        | ~ c1_1(X85) )
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f1702,plain,
    ( spl0_179
    | ~ spl0_134
    | ~ spl0_78
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1690,f769,f605,f914,f1478]) ).

fof(f914,plain,
    ( spl0_134
  <=> c1_1(a2188) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1690,plain,
    ( ~ c1_1(a2188)
    | c3_1(a2188)
    | ~ spl0_78
    | ~ spl0_109 ),
    inference(resolution,[],[f606,f771]) ).

fof(f771,plain,
    ( c2_1(a2188)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f1697,plain,
    ( spl0_130
    | ~ spl0_151
    | ~ spl0_78
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1685,f1278,f605,f1013,f890]) ).

fof(f890,plain,
    ( spl0_130
  <=> c3_1(a2184) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1685,plain,
    ( ~ c1_1(a2184)
    | c3_1(a2184)
    | ~ spl0_78
    | ~ spl0_170 ),
    inference(resolution,[],[f606,f1280]) ).

fof(f1280,plain,
    ( c2_1(a2184)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1278]) ).

fof(f1677,plain,
    ( spl0_51
    | ~ spl0_175
    | ~ spl0_24
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1663,f584,f351,f1354,f471]) ).

fof(f1663,plain,
    ( ~ c1_1(a2194)
    | c2_1(a2194)
    | ~ spl0_24
    | ~ spl0_74 ),
    inference(resolution,[],[f585,f353]) ).

fof(f1670,plain,
    ( ~ spl0_80
    | spl0_158
    | ~ spl0_74
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1666,f725,f584,f1055,f616]) ).

fof(f1666,plain,
    ( c2_1(a2262)
    | ~ c1_1(a2262)
    | ~ spl0_74
    | ~ spl0_101 ),
    inference(resolution,[],[f585,f727]) ).

fof(f1652,plain,
    ( ~ spl0_166
    | ~ spl0_47
    | ~ spl0_26
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f1645,f522,f360,f454,f1218]) ).

fof(f1645,plain,
    ( ~ c0_1(a2178)
    | ~ c1_1(a2178)
    | ~ spl0_26
    | ~ spl0_62 ),
    inference(resolution,[],[f523,f362]) ).

fof(f1635,plain,
    ( spl0_119
    | ~ spl0_8
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1625,f450,f283,f823]) ).

fof(f450,plain,
    ( spl0_46
  <=> ! [X25] :
        ( c3_1(X25)
        | c1_1(X25)
        | c0_1(X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1625,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_8
    | ~ spl0_46 ),
    inference(duplicate_literal_removal,[],[f1614]) ).

fof(f1614,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c0_1(X0)
        | c0_1(X0) )
    | ~ spl0_8
    | ~ spl0_46 ),
    inference(resolution,[],[f284,f451]) ).

fof(f451,plain,
    ( ! [X25] :
        ( c3_1(X25)
        | c0_1(X25)
        | c1_1(X25) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f1633,plain,
    ( spl0_158
    | spl0_146
    | ~ spl0_8
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1620,f725,f283,f987,f1055]) ).

fof(f1620,plain,
    ( c0_1(a2262)
    | c2_1(a2262)
    | ~ spl0_8
    | ~ spl0_101 ),
    inference(resolution,[],[f284,f727]) ).

fof(f1609,plain,
    ( spl0_57
    | spl0_153
    | ~ spl0_39
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1608,f1050,f420,f1024,f500]) ).

fof(f1608,plain,
    ( c1_1(a2186)
    | c0_1(a2186)
    | ~ spl0_39
    | ~ spl0_157 ),
    inference(resolution,[],[f1051,f421]) ).

fof(f1051,plain,
    ( c2_1(a2186)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1050]) ).

fof(f1538,plain,
    ( ~ spl0_141
    | spl0_133
    | ~ spl0_73
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1525,f882,f580,f909,f958]) ).

fof(f1525,plain,
    ( c1_1(a2197)
    | ~ c2_1(a2197)
    | ~ spl0_73
    | ~ spl0_129 ),
    inference(resolution,[],[f581,f884]) ).

fof(f1534,plain,
    ( ~ spl0_54
    | spl0_10
    | ~ spl0_73
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1523,f1314,f580,f290,f486]) ).

fof(f1523,plain,
    ( c1_1(a2187)
    | ~ c2_1(a2187)
    | ~ spl0_73
    | ~ spl0_172 ),
    inference(resolution,[],[f581,f1316]) ).

fof(f1316,plain,
    ( c3_1(a2187)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1314]) ).

fof(f1532,plain,
    ( spl0_166
    | ~ spl0_132
    | ~ spl0_26
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1529,f580,f360,f901,f1218]) ).

fof(f1529,plain,
    ( ~ c2_1(a2178)
    | c1_1(a2178)
    | ~ spl0_26
    | ~ spl0_73 ),
    inference(resolution,[],[f581,f362]) ).

fof(f1517,plain,
    ( spl0_147
    | spl0_105
    | ~ spl0_39
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1495,f1344,f420,f748,f992]) ).

fof(f1495,plain,
    ( c0_1(a2177)
    | c1_1(a2177)
    | ~ spl0_39
    | ~ spl0_174 ),
    inference(resolution,[],[f421,f1346]) ).

fof(f1516,plain,
    ( spl0_176
    | spl0_123
    | ~ spl0_39
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1500,f1007,f420,f847,f1401]) ).

fof(f1500,plain,
    ( c1_1(a2219)
    | c0_1(a2219)
    | ~ spl0_39
    | ~ spl0_150 ),
    inference(resolution,[],[f421,f1009]) ).

fof(f1469,plain,
    ( spl0_123
    | spl0_22
    | ~ spl0_9
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1461,f1007,f286,f342,f847]) ).

fof(f1461,plain,
    ( c3_1(a2219)
    | c1_1(a2219)
    | ~ spl0_9
    | ~ spl0_150 ),
    inference(resolution,[],[f287,f1009]) ).

fof(f1468,plain,
    ( spl0_147
    | spl0_76
    | ~ spl0_9
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1455,f1344,f286,f594,f992]) ).

fof(f1455,plain,
    ( c3_1(a2177)
    | c1_1(a2177)
    | ~ spl0_9
    | ~ spl0_174 ),
    inference(resolution,[],[f287,f1346]) ).

fof(f1440,plain,
    ( spl0_100
    | ~ spl0_32
    | ~ spl0_46
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1431,f621,f450,f389,f720]) ).

fof(f720,plain,
    ( spl0_100
  <=> c1_1(a2185) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f621,plain,
    ( spl0_81
  <=> c0_1(a2185) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1431,plain,
    ( c1_1(a2185)
    | ~ spl0_32
    | ~ spl0_46
    | spl0_81 ),
    inference(resolution,[],[f1398,f623]) ).

fof(f623,plain,
    ( ~ c0_1(a2185)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f621]) ).

fof(f1398,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_32
    | ~ spl0_46 ),
    inference(duplicate_literal_removal,[],[f1384]) ).

fof(f1384,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c1_1(X0)
        | c0_1(X0)
        | c0_1(X0) )
    | ~ spl0_32
    | ~ spl0_46 ),
    inference(resolution,[],[f451,f390]) ).

fof(f1439,plain,
    ( spl0_147
    | ~ spl0_32
    | ~ spl0_46
    | spl0_105 ),
    inference(avatar_split_clause,[],[f1429,f748,f450,f389,f992]) ).

fof(f1429,plain,
    ( c1_1(a2177)
    | ~ spl0_32
    | ~ spl0_46
    | spl0_105 ),
    inference(resolution,[],[f1398,f750]) ).

fof(f1413,plain,
    ( spl0_162
    | spl0_126
    | ~ spl0_46
    | spl0_131 ),
    inference(avatar_split_clause,[],[f1393,f895,f450,f865,f1116]) ).

fof(f1393,plain,
    ( c1_1(a2195)
    | c0_1(a2195)
    | ~ spl0_46
    | spl0_131 ),
    inference(resolution,[],[f451,f897]) ).

fof(f1409,plain,
    ( spl0_147
    | spl0_105
    | ~ spl0_46
    | spl0_76 ),
    inference(avatar_split_clause,[],[f1389,f594,f450,f748,f992]) ).

fof(f1389,plain,
    ( c0_1(a2177)
    | c1_1(a2177)
    | ~ spl0_46
    | spl0_76 ),
    inference(resolution,[],[f451,f596]) ).

fof(f596,plain,
    ( ~ c3_1(a2177)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f1408,plain,
    ( spl0_173
    | spl0_103
    | ~ spl0_46
    | spl0_113 ),
    inference(avatar_split_clause,[],[f1394,f792,f450,f738,f1338]) ).

fof(f1394,plain,
    ( c0_1(a2211)
    | c1_1(a2211)
    | ~ spl0_46
    | spl0_113 ),
    inference(resolution,[],[f451,f794]) ).

fof(f794,plain,
    ( ~ c3_1(a2211)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f792]) ).

fof(f1372,plain,
    ( spl0_160
    | spl0_97
    | ~ spl0_32
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1363,f609,f389,f704,f1089]) ).

fof(f1363,plain,
    ( c0_1(a2182)
    | c1_1(a2182)
    | ~ spl0_32
    | ~ spl0_79 ),
    inference(resolution,[],[f390,f611]) ).

fof(f1371,plain,
    ( spl0_133
    | spl0_168
    | ~ spl0_32
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1366,f882,f389,f1244,f909]) ).

fof(f1366,plain,
    ( c0_1(a2197)
    | c1_1(a2197)
    | ~ spl0_32
    | ~ spl0_129 ),
    inference(resolution,[],[f390,f884]) ).

fof(f1349,plain,
    ( spl0_84
    | spl0_126
    | ~ spl0_63
    | spl0_131 ),
    inference(avatar_split_clause,[],[f1326,f895,f528,f865,f636]) ).

fof(f1326,plain,
    ( c1_1(a2195)
    | c2_1(a2195)
    | ~ spl0_63
    | spl0_131 ),
    inference(resolution,[],[f529,f897]) ).

fof(f529,plain,
    ( ! [X84] :
        ( c3_1(X84)
        | c1_1(X84)
        | c2_1(X84) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f1347,plain,
    ( spl0_147
    | spl0_174
    | ~ spl0_63
    | spl0_76 ),
    inference(avatar_split_clause,[],[f1322,f594,f528,f1344,f992]) ).

fof(f1322,plain,
    ( c2_1(a2177)
    | c1_1(a2177)
    | ~ spl0_63
    | spl0_76 ),
    inference(resolution,[],[f529,f596]) ).

fof(f1341,plain,
    ( spl0_173
    | spl0_104
    | ~ spl0_63
    | spl0_113 ),
    inference(avatar_split_clause,[],[f1327,f792,f528,f743,f1338]) ).

fof(f1327,plain,
    ( c2_1(a2211)
    | c1_1(a2211)
    | ~ spl0_63
    | spl0_113 ),
    inference(resolution,[],[f529,f794]) ).

fof(f1184,plain,
    ( spl0_142
    | ~ spl0_161
    | ~ spl0_67
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1181,f842,f549,f1109,f963]) ).

fof(f1181,plain,
    ( ~ c1_1(a2216)
    | c3_1(a2216)
    | ~ spl0_67
    | ~ spl0_122 ),
    inference(resolution,[],[f550,f844]) ).

fof(f1058,plain,
    ( ~ spl0_158
    | ~ spl0_80
    | ~ spl0_6
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1048,f725,f275,f616,f1055]) ).

fof(f1048,plain,
    ( ~ c1_1(a2262)
    | ~ c2_1(a2262)
    | ~ spl0_6
    | ~ spl0_101 ),
    inference(resolution,[],[f276,f727]) ).

fof(f1038,plain,
    ( spl0_155
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f92,f294,f1035]) ).

fof(f294,plain,
    ( spl0_11
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f92,plain,
    ( ~ hskp11
    | c0_1(a2187) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ( hskp3
      | hskp16
      | hskp17 )
    & ( hskp3
      | hskp15
      | ! [X0] :
          ( ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0
          | c0_1(X0) ) )
    & ( ~ hskp17
      | ( ~ c1_1(a2197)
        & c2_1(a2197)
        & ndr1_0
        & c3_1(a2197) ) )
    & ( ( ndr1_0
        & c2_1(a2219)
        & ~ c1_1(a2219)
        & ~ c3_1(a2219) )
      | ~ hskp22 )
    & ( ( ~ c0_1(a2175)
        & ~ c3_1(a2175)
        & c2_1(a2175)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ~ hskp19
      | ( ~ c2_1(a2211)
        & ndr1_0
        & ~ c0_1(a2211)
        & ~ c3_1(a2211) ) )
    & ( ! [X1] :
          ( ~ c0_1(X1)
          | c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 )
      | hskp12
      | ! [X2] :
          ( ~ c1_1(X2)
          | ~ ndr1_0
          | ~ c2_1(X2)
          | ~ c0_1(X2) ) )
    & ( ! [X3] :
          ( c1_1(X3)
          | ~ c3_1(X3)
          | ~ ndr1_0
          | c0_1(X3) )
      | hskp0
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ ndr1_0
          | ~ c1_1(X4)
          | c2_1(X4) ) )
    & ( hskp16
      | hskp5
      | hskp19 )
    & ( ! [X5] :
          ( ~ c1_1(X5)
          | ~ ndr1_0
          | ~ c3_1(X5)
          | ~ c2_1(X5) )
      | hskp19
      | hskp13 )
    & ( hskp18
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ ndr1_0
          | c2_1(X6)
          | ~ c0_1(X6) )
      | ! [X7] :
          ( c3_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a2181)
        & c1_1(a2181)
        & ~ c3_1(a2181) ) )
    & ( hskp28
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ ndr1_0
          | ~ c3_1(X8)
          | ~ c0_1(X8) )
      | ! [X9] :
          ( ~ ndr1_0
          | c2_1(X9)
          | c3_1(X9)
          | c0_1(X9) ) )
    & ( ! [X10] :
          ( ~ c3_1(X10)
          | c0_1(X10)
          | ~ ndr1_0
          | ~ c2_1(X10) )
      | ! [X11] :
          ( c3_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0
          | ~ c1_1(X11) )
      | hskp16 )
    & ( hskp0
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ ndr1_0
          | ~ c2_1(X12)
          | c1_1(X12) )
      | ! [X13] :
          ( ~ ndr1_0
          | c1_1(X13)
          | c2_1(X13)
          | c0_1(X13) ) )
    & ( ! [X14] :
          ( ~ c0_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0
          | c1_1(X14) )
      | hskp16
      | hskp13 )
    & ( hskp2
      | ! [X15] :
          ( c2_1(X15)
          | c3_1(X15)
          | ~ c1_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c1_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0
          | c0_1(X16) ) )
    & ( hskp10
      | hskp9
      | ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ ndr1_0
          | ~ c3_1(X17) ) )
    & ( ! [X18] :
          ( ~ c2_1(X18)
          | c3_1(X18)
          | c0_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c3_1(X19)
          | c0_1(X19)
          | ~ ndr1_0
          | ~ c2_1(X19) )
      | ! [X20] :
          ( c0_1(X20)
          | ~ ndr1_0
          | c2_1(X20)
          | c1_1(X20) ) )
    & ( ~ hskp12
      | ( ~ c3_1(a2189)
        & ndr1_0
        & ~ c2_1(a2189)
        & c1_1(a2189) ) )
    & ( ! [X21] :
          ( c3_1(X21)
          | c2_1(X21)
          | c0_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c0_1(X22)
          | ~ c3_1(X22)
          | c1_1(X22) )
      | hskp11 )
    & ( hskp10
      | ! [X23] :
          ( c2_1(X23)
          | ~ ndr1_0
          | ~ c1_1(X23)
          | ~ c0_1(X23) )
      | hskp17 )
    & ( ~ hskp24
      | ( c1_1(a2262)
        & c3_1(a2262)
        & ~ c0_1(a2262)
        & ndr1_0 ) )
    & ( ~ hskp27
      | ( c2_1(a2178)
        & ndr1_0
        & c3_1(a2178)
        & c0_1(a2178) ) )
    & ( ! [X24] :
          ( ~ c2_1(X24)
          | ~ ndr1_0
          | ~ c3_1(X24)
          | ~ c0_1(X24) )
      | ! [X25] :
          ( ~ ndr1_0
          | c0_1(X25)
          | c3_1(X25)
          | c1_1(X25) )
      | hskp2 )
    & ( ( c1_1(a2184)
        & ~ c3_1(a2184)
        & ndr1_0
        & c0_1(a2184) )
      | ~ hskp8 )
    & ( ! [X26] :
          ( ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0
          | c3_1(X26) )
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c0_1(X27)
          | ~ c2_1(X27)
          | c1_1(X27) )
      | hskp19 )
    & ( ( ndr1_0
        & ~ c2_1(a2194)
        & c0_1(a2194)
        & c3_1(a2194) )
      | ~ hskp15 )
    & ( ! [X28] :
          ( ~ c3_1(X28)
          | ~ ndr1_0
          | c1_1(X28)
          | c0_1(X28) )
      | ! [X29] :
          ( ~ ndr1_0
          | c1_1(X29)
          | c3_1(X29)
          | c2_1(X29) )
      | ! [X30] :
          ( c0_1(X30)
          | ~ c2_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X31] :
          ( ~ ndr1_0
          | ~ c2_1(X31)
          | c3_1(X31)
          | c0_1(X31) )
      | ! [X32] :
          ( ~ c1_1(X32)
          | ~ ndr1_0
          | ~ c3_1(X32)
          | c0_1(X32) )
      | ! [X33] :
          ( c1_1(X33)
          | c3_1(X33)
          | ~ ndr1_0
          | c0_1(X33) ) )
    & ( ~ hskp29
      | ( c1_1(a2196)
        & c2_1(a2196)
        & ndr1_0
        & c3_1(a2196) ) )
    & ( ! [X34] :
          ( c1_1(X34)
          | ~ ndr1_0
          | ~ c0_1(X34)
          | ~ c3_1(X34) )
      | ! [X35] :
          ( ~ c2_1(X35)
          | ~ c3_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c1_1(X36)
          | c2_1(X36)
          | c3_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X37] :
          ( ~ c0_1(X37)
          | ~ ndr1_0
          | c2_1(X37)
          | c1_1(X37) )
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c3_1(X38)
          | c0_1(X38)
          | ~ c2_1(X38) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a2188)
        & c2_1(a2188)
        & c1_1(a2188) ) )
    & ( hskp1
      | ! [X39] :
          ( ~ c0_1(X39)
          | ~ c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ~ hskp18
      | ( ~ c2_1(a2198)
        & ~ c1_1(a2198)
        & c0_1(a2198)
        & ndr1_0 ) )
    & ( ! [X40] :
          ( c3_1(X40)
          | ~ ndr1_0
          | c1_1(X40)
          | c2_1(X40) )
      | ! [X41] :
          ( c3_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0
          | c1_1(X41) )
      | hskp28 )
    & ( hskp21
      | hskp22
      | hskp25 )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a2185)
        & ~ c1_1(a2185)
        & c2_1(a2185) ) )
    & ( ! [X42] :
          ( ~ c2_1(X42)
          | ~ ndr1_0
          | ~ c3_1(X42)
          | ~ c1_1(X42) )
      | hskp2
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | c0_1(X43)
          | ~ c2_1(X43) ) )
    & ( ! [X44] :
          ( ~ c3_1(X44)
          | ~ ndr1_0
          | c1_1(X44)
          | ~ c0_1(X44) )
      | ! [X45] :
          ( ~ ndr1_0
          | c2_1(X45)
          | c3_1(X45)
          | ~ c1_1(X45) )
      | ! [X46] :
          ( ~ ndr1_0
          | c0_1(X46)
          | c1_1(X46)
          | c2_1(X46) ) )
    & ( hskp22
      | ! [X47] :
          ( ~ c1_1(X47)
          | ~ ndr1_0
          | ~ c3_1(X47)
          | ~ c0_1(X47) )
      | hskp27 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c1_1(X48)
          | ~ ndr1_0
          | ~ c3_1(X48) )
      | ! [X49] :
          ( c3_1(X49)
          | ~ ndr1_0
          | c2_1(X49)
          | ~ c1_1(X49) )
      | ! [X50] :
          ( c3_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ ndr1_0
          | c1_1(X51)
          | ~ c2_1(X51) )
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c0_1(X52)
          | ~ c2_1(X52)
          | c1_1(X52) ) )
    & ( ~ hskp0
      | ( ~ c0_1(a2174)
        & c2_1(a2174)
        & ndr1_0
        & c1_1(a2174) ) )
    & ( ! [X53] :
          ( ~ ndr1_0
          | ~ c3_1(X53)
          | c2_1(X53)
          | ~ c0_1(X53) )
      | ! [X54] :
          ( ~ c0_1(X54)
          | ~ ndr1_0
          | c1_1(X54)
          | ~ c2_1(X54) )
      | ! [X55] :
          ( c3_1(X55)
          | ~ ndr1_0
          | c0_1(X55)
          | ~ c2_1(X55) ) )
    & ( hskp20
      | ! [X56] :
          ( c1_1(X56)
          | ~ ndr1_0
          | c3_1(X56)
          | ~ c0_1(X56) )
      | hskp28 )
    & ( ! [X57] :
          ( c3_1(X57)
          | ~ c2_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | hskp10
      | ! [X58] :
          ( ~ c3_1(X58)
          | c0_1(X58)
          | ~ ndr1_0
          | c2_1(X58) ) )
    & ( ! [X59] :
          ( c0_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0
          | ~ c2_1(X59) )
      | ! [X60] :
          ( c3_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c0_1(X61)
          | c1_1(X61)
          | ~ ndr1_0 ) )
    & ( ! [X62] :
          ( ~ c0_1(X62)
          | c2_1(X62)
          | c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | c1_1(X63)
          | ~ c2_1(X63) )
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ ndr1_0
          | c0_1(X64)
          | ~ c3_1(X64) ) )
    & ( ~ hskp16
      | ( ~ c2_1(a2195)
        & ndr1_0
        & ~ c3_1(a2195)
        & ~ c1_1(a2195) ) )
    & ( hskp15
      | ! [X65] :
          ( c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0
          | ~ c1_1(X65) )
      | hskp16 )
    & ( ( ndr1_0
        & c3_1(a2180)
        & c0_1(a2180)
        & ~ c1_1(a2180) )
      | ~ hskp5 )
    & ( hskp11
      | ! [X66] :
          ( c3_1(X66)
          | ~ c2_1(X66)
          | ~ ndr1_0
          | ~ c0_1(X66) )
      | hskp10 )
    & ( ! [X67] :
          ( ~ ndr1_0
          | c1_1(X67)
          | c0_1(X67)
          | c3_1(X67) )
      | ! [X68] :
          ( ~ c2_1(X68)
          | c1_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X69] :
          ( c2_1(X69)
          | ~ ndr1_0
          | c1_1(X69)
          | ~ c0_1(X69) )
      | hskp16 )
    & ( hskp23
      | hskp8
      | hskp4 )
    & ( hskp29
      | ! [X70] :
          ( c3_1(X70)
          | ~ ndr1_0
          | ~ c0_1(X70)
          | ~ c1_1(X70) )
      | hskp9 )
    & ( ~ hskp25
      | ( ~ c2_1(a2265)
        & ndr1_0
        & c1_1(a2265)
        & c3_1(a2265) ) )
    & ( ( ndr1_0
        & c2_1(a2187)
        & c0_1(a2187)
        & ~ c1_1(a2187) )
      | ~ hskp11 )
    & ( ~ hskp30
      | ( c3_1(a2208)
        & ndr1_0
        & c1_1(a2208)
        & c0_1(a2208) ) )
    & ( ! [X71] :
          ( ~ c3_1(X71)
          | c1_1(X71)
          | ~ ndr1_0
          | c0_1(X71) )
      | ! [X72] :
          ( ~ c1_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0
          | c3_1(X72) )
      | hskp8 )
    & ( ! [X73] :
          ( ~ ndr1_0
          | c2_1(X73)
          | c3_1(X73)
          | ~ c1_1(X73) )
      | hskp13
      | hskp16 )
    & ( ! [X74] :
          ( ~ c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0
          | c1_1(X74) )
      | hskp3
      | ! [X75] :
          ( ~ ndr1_0
          | c0_1(X75)
          | c2_1(X75)
          | ~ c1_1(X75) ) )
    & ( hskp18
      | ! [X76] :
          ( c0_1(X76)
          | ~ c1_1(X76)
          | ~ c2_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c0_1(X77)
          | c3_1(X77)
          | c1_1(X77) ) )
    & ( ! [X78] :
          ( c1_1(X78)
          | ~ c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c3_1(X79)
          | ~ c1_1(X79)
          | ~ c2_1(X79) )
      | hskp4 )
    & ( hskp7
      | ! [X80] :
          ( c3_1(X80)
          | c0_1(X80)
          | ~ ndr1_0
          | ~ c2_1(X80) )
      | ! [X81] :
          ( ~ ndr1_0
          | c1_1(X81)
          | c0_1(X81)
          | ~ c3_1(X81) ) )
    & ( ! [X82] :
          ( c3_1(X82)
          | ~ ndr1_0
          | c0_1(X82)
          | c1_1(X82) )
      | ! [X83] :
          ( ~ c0_1(X83)
          | ~ ndr1_0
          | ~ c2_1(X83)
          | c1_1(X83) )
      | ! [X84] :
          ( c1_1(X84)
          | c2_1(X84)
          | c3_1(X84)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c0_1(a2176)
        & c1_1(a2176)
        & ~ c3_1(a2176) )
      | ~ hskp2 )
    & ( hskp0
      | ! [X85] :
          ( c3_1(X85)
          | ~ ndr1_0
          | ~ c2_1(X85)
          | ~ c1_1(X85) )
      | hskp22 )
    & ( ! [X86] :
          ( c1_1(X86)
          | c0_1(X86)
          | ~ c2_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c0_1(X87)
          | ~ c2_1(X87)
          | ~ c1_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c1_1(X88)
          | ~ c3_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 ) )
    & ( ~ hskp7
      | ( c2_1(a2182)
        & ndr1_0
        & ~ c0_1(a2182)
        & c3_1(a2182) ) )
    & ( ! [X89] :
          ( c2_1(X89)
          | c0_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c3_1(X90)
          | ~ c2_1(X90)
          | ~ ndr1_0
          | c1_1(X90) )
      | hskp12 )
    & ( hskp5
      | hskp19
      | hskp2 )
    & ( hskp27
      | ! [X91] :
          ( c1_1(X91)
          | ~ ndr1_0
          | ~ c3_1(X91)
          | ~ c2_1(X91) )
      | ! [X92] :
          ( ~ c2_1(X92)
          | ~ ndr1_0
          | ~ c3_1(X92)
          | ~ c0_1(X92) ) )
    & ( hskp16
      | hskp3
      | hskp15 )
    & ( hskp22
      | hskp28
      | ! [X93] :
          ( c1_1(X93)
          | ~ ndr1_0
          | ~ c0_1(X93)
          | ~ c2_1(X93) ) )
    & ( ~ hskp4
      | ( ~ c3_1(a2179)
        & c2_1(a2179)
        & ndr1_0
        & c0_1(a2179) ) )
    & ( hskp13
      | ! [X94] :
          ( c0_1(X94)
          | ~ ndr1_0
          | ~ c3_1(X94)
          | c2_1(X94) )
      | ! [X95] :
          ( c3_1(X95)
          | ~ c0_1(X95)
          | c2_1(X95)
          | ~ ndr1_0 ) )
    & ( ! [X96] :
          ( c2_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0
          | ~ c0_1(X96) )
      | ! [X97] :
          ( c2_1(X97)
          | ~ ndr1_0
          | ~ c3_1(X97)
          | c0_1(X97) )
      | ! [X98] :
          ( ~ c1_1(X98)
          | ~ ndr1_0
          | ~ c3_1(X98)
          | ~ c2_1(X98) ) )
    & ( ~ hskp13
      | ( ~ c1_1(a2191)
        & ndr1_0
        & ~ c3_1(a2191)
        & c0_1(a2191) ) )
    & ( ! [X99] :
          ( c0_1(X99)
          | ~ ndr1_0
          | ~ c1_1(X99)
          | c3_1(X99) )
      | hskp17
      | hskp29 )
    & ( ! [X100] :
          ( c0_1(X100)
          | c2_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c2_1(X101)
          | ~ ndr1_0
          | ~ c1_1(X101)
          | ~ c0_1(X101) )
      | hskp11 )
    & ( ! [X102] :
          ( ~ ndr1_0
          | ~ c1_1(X102)
          | c0_1(X102)
          | ~ c2_1(X102) )
      | hskp27
      | ! [X103] :
          ( ~ ndr1_0
          | c0_1(X103)
          | c1_1(X103)
          | ~ c2_1(X103) ) )
    & ( hskp13
      | hskp14
      | hskp24 )
    & ( ! [X104] :
          ( ~ ndr1_0
          | ~ c3_1(X104)
          | c0_1(X104)
          | ~ c2_1(X104) )
      | ! [X105] :
          ( c2_1(X105)
          | ~ ndr1_0
          | c1_1(X105)
          | ~ c0_1(X105) )
      | ! [X106] :
          ( ~ c2_1(X106)
          | c3_1(X106)
          | ~ c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp9
      | hskp2 )
    & ( ( ~ c3_1(a2177)
        & ~ c1_1(a2177)
        & ndr1_0
        & ~ c0_1(a2177) )
      | ~ hskp3 )
    & ( hskp2
      | ! [X107] :
          ( ~ c0_1(X107)
          | c2_1(X107)
          | ~ ndr1_0
          | c1_1(X107) )
      | ! [X108] :
          ( ~ c2_1(X108)
          | c1_1(X108)
          | ~ ndr1_0
          | c3_1(X108) ) )
    & ( hskp30
      | hskp1
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c0_1(X109)
          | c2_1(X109)
          | c1_1(X109) ) )
    & ( ! [X110] :
          ( ~ ndr1_0
          | ~ c1_1(X110)
          | c3_1(X110)
          | ~ c0_1(X110) )
      | ! [X111] :
          ( c3_1(X111)
          | c1_1(X111)
          | ~ ndr1_0
          | ~ c2_1(X111) )
      | ! [X112] :
          ( ~ c0_1(X112)
          | ~ c1_1(X112)
          | ~ c3_1(X112)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c2_1(a2248)
        & ~ c1_1(a2248)
        & ~ c0_1(a2248) )
      | ~ hskp23 )
    & ( ( ~ c2_1(a2268)
        & ndr1_0
        & c1_1(a2268)
        & ~ c0_1(a2268) )
      | ~ hskp26 )
    & ( ! [X113] :
          ( ~ ndr1_0
          | ~ c1_1(X113)
          | c3_1(X113)
          | c2_1(X113) )
      | hskp16
      | hskp20 )
    & ( ~ hskp21
      | ( c0_1(a2216)
        & ~ c3_1(a2216)
        & ~ c2_1(a2216)
        & ndr1_0 ) )
    & ( ( ~ c1_1(a2193)
        & ~ c2_1(a2193)
        & c3_1(a2193)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ! [X114] :
          ( ~ ndr1_0
          | c1_1(X114)
          | ~ c3_1(X114)
          | ~ c2_1(X114) )
      | ! [X115] :
          ( ~ c2_1(X115)
          | ~ ndr1_0
          | c1_1(X115)
          | ~ c0_1(X115) )
      | hskp10 )
    & ( ! [X116] :
          ( ~ ndr1_0
          | ~ c2_1(X116)
          | ~ c1_1(X116)
          | c0_1(X116) )
      | ! [X117] :
          ( ~ c1_1(X117)
          | ~ c3_1(X117)
          | c2_1(X117)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ~ hskp10
      | ( c3_1(a2186)
        & ~ c0_1(a2186)
        & ~ c1_1(a2186)
        & ndr1_0 ) )
    & ( hskp16
      | ! [X118] :
          ( ~ ndr1_0
          | ~ c2_1(X118)
          | ~ c1_1(X118)
          | ~ c3_1(X118) )
      | hskp27 )
    & ( hskp17
      | hskp26
      | hskp24 )
    & ( ! [X119] :
          ( c2_1(X119)
          | c3_1(X119)
          | ~ c1_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( ~ ndr1_0
          | ~ c1_1(X120)
          | c3_1(X120)
          | c0_1(X120) )
      | hskp14 )
    & ( hskp0
      | ! [X121] :
          ( c1_1(X121)
          | c3_1(X121)
          | ~ ndr1_0
          | ~ c0_1(X121) )
      | hskp15 )
    & ( ! [X122] :
          ( c1_1(X122)
          | c0_1(X122)
          | ~ c2_1(X122)
          | ~ ndr1_0 )
      | hskp5
      | hskp6 )
    & ( ! [X123] :
          ( ~ c0_1(X123)
          | ~ c2_1(X123)
          | ~ c3_1(X123)
          | ~ ndr1_0 )
      | ! [X124] :
          ( ~ c2_1(X124)
          | c3_1(X124)
          | ~ ndr1_0
          | ~ c1_1(X124) )
      | hskp7 )
    & ( hskp0
      | hskp10
      | hskp13 )
    & ( ( c0_1(a2213)
        & c1_1(a2213)
        & ndr1_0
        & ~ c2_1(a2213) )
      | ~ hskp20 ) ),
    inference(rectify,[],[f6]) ).

fof(f6,plain,
    ( ( hskp3
      | hskp16
      | hskp17 )
    & ( hskp3
      | hskp15
      | ! [X38] :
          ( ~ c2_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0
          | c0_1(X38) ) )
    & ( ~ hskp17
      | ( ~ c1_1(a2197)
        & c2_1(a2197)
        & ndr1_0
        & c3_1(a2197) ) )
    & ( ( ndr1_0
        & c2_1(a2219)
        & ~ c1_1(a2219)
        & ~ c3_1(a2219) )
      | ~ hskp22 )
    & ( ( ~ c0_1(a2175)
        & ~ c3_1(a2175)
        & c2_1(a2175)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ~ hskp19
      | ( ~ c2_1(a2211)
        & ndr1_0
        & ~ c0_1(a2211)
        & ~ c3_1(a2211) ) )
    & ( ! [X1] :
          ( ~ c0_1(X1)
          | c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 )
      | hskp12
      | ! [X2] :
          ( ~ c1_1(X2)
          | ~ ndr1_0
          | ~ c2_1(X2)
          | ~ c0_1(X2) ) )
    & ( ! [X111] :
          ( c1_1(X111)
          | ~ c3_1(X111)
          | ~ ndr1_0
          | c0_1(X111) )
      | hskp0
      | ! [X112] :
          ( ~ c3_1(X112)
          | ~ ndr1_0
          | ~ c1_1(X112)
          | c2_1(X112) ) )
    & ( hskp16
      | hskp5
      | hskp19 )
    & ( ! [X85] :
          ( ~ c1_1(X85)
          | ~ ndr1_0
          | ~ c3_1(X85)
          | ~ c2_1(X85) )
      | hskp19
      | hskp13 )
    & ( hskp18
      | ! [X86] :
          ( ~ c1_1(X86)
          | ~ ndr1_0
          | c2_1(X86)
          | ~ c0_1(X86) )
      | ! [X87] :
          ( c3_1(X87)
          | ~ c1_1(X87)
          | ~ c0_1(X87)
          | ~ ndr1_0 ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a2181)
        & c1_1(a2181)
        & ~ c3_1(a2181) ) )
    & ( hskp28
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ ndr1_0
          | ~ c3_1(X58)
          | ~ c0_1(X58) )
      | ! [X57] :
          ( ~ ndr1_0
          | c2_1(X57)
          | c3_1(X57)
          | c0_1(X57) ) )
    & ( ! [X18] :
          ( ~ c3_1(X18)
          | c0_1(X18)
          | ~ ndr1_0
          | ~ c2_1(X18) )
      | ! [X17] :
          ( c3_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0
          | ~ c1_1(X17) )
      | hskp16 )
    & ( hskp0
      | ! [X104] :
          ( ~ c3_1(X104)
          | ~ ndr1_0
          | ~ c2_1(X104)
          | c1_1(X104) )
      | ! [X103] :
          ( ~ ndr1_0
          | c1_1(X103)
          | c2_1(X103)
          | c0_1(X103) ) )
    & ( ! [X59] :
          ( ~ c0_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0
          | c1_1(X59) )
      | hskp16
      | hskp13 )
    & ( hskp2
      | ! [X54] :
          ( c2_1(X54)
          | c3_1(X54)
          | ~ c1_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c1_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0
          | c0_1(X55) ) )
    & ( hskp10
      | hskp9
      | ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ ndr1_0
          | ~ c3_1(X12) ) )
    & ( ! [X50] :
          ( ~ c2_1(X50)
          | c3_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | c0_1(X48)
          | ~ ndr1_0
          | ~ c2_1(X48) )
      | ! [X49] :
          ( c0_1(X49)
          | ~ ndr1_0
          | c2_1(X49)
          | c1_1(X49) ) )
    & ( ~ hskp12
      | ( ~ c3_1(a2189)
        & ndr1_0
        & ~ c2_1(a2189)
        & c1_1(a2189) ) )
    & ( ! [X124] :
          ( c3_1(X124)
          | c2_1(X124)
          | c0_1(X124)
          | ~ ndr1_0 )
      | ! [X123] :
          ( ~ ndr1_0
          | ~ c0_1(X123)
          | ~ c3_1(X123)
          | c1_1(X123) )
      | hskp11 )
    & ( hskp10
      | ! [X35] :
          ( c2_1(X35)
          | ~ ndr1_0
          | ~ c1_1(X35)
          | ~ c0_1(X35) )
      | hskp17 )
    & ( ~ hskp24
      | ( c1_1(a2262)
        & c3_1(a2262)
        & ~ c0_1(a2262)
        & ndr1_0 ) )
    & ( ~ hskp27
      | ( c2_1(a2178)
        & ndr1_0
        & c3_1(a2178)
        & c0_1(a2178) ) )
    & ( ! [X47] :
          ( ~ c2_1(X47)
          | ~ ndr1_0
          | ~ c3_1(X47)
          | ~ c0_1(X47) )
      | ! [X46] :
          ( ~ ndr1_0
          | c0_1(X46)
          | c3_1(X46)
          | c1_1(X46) )
      | hskp2 )
    & ( ( c1_1(a2184)
        & ~ c3_1(a2184)
        & ndr1_0
        & c0_1(a2184) )
      | ~ hskp8 )
    & ( ! [X71] :
          ( ~ c0_1(X71)
          | c1_1(X71)
          | ~ ndr1_0
          | c3_1(X71) )
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c0_1(X70)
          | ~ c2_1(X70)
          | c1_1(X70) )
      | hskp19 )
    & ( ( ndr1_0
        & ~ c2_1(a2194)
        & c0_1(a2194)
        & c3_1(a2194) )
      | ~ hskp15 )
    & ( ! [X21] :
          ( ~ c3_1(X21)
          | ~ ndr1_0
          | c1_1(X21)
          | c0_1(X21) )
      | ! [X19] :
          ( ~ ndr1_0
          | c1_1(X19)
          | c3_1(X19)
          | c2_1(X19) )
      | ! [X20] :
          ( c0_1(X20)
          | ~ c2_1(X20)
          | ~ c1_1(X20)
          | ~ ndr1_0 ) )
    & ( ! [X110] :
          ( ~ ndr1_0
          | ~ c2_1(X110)
          | c3_1(X110)
          | c0_1(X110) )
      | ! [X109] :
          ( ~ c1_1(X109)
          | ~ ndr1_0
          | ~ c3_1(X109)
          | c0_1(X109) )
      | ! [X108] :
          ( c1_1(X108)
          | c3_1(X108)
          | ~ ndr1_0
          | c0_1(X108) ) )
    & ( ~ hskp29
      | ( c1_1(a2196)
        & c2_1(a2196)
        & ndr1_0
        & c3_1(a2196) ) )
    & ( ! [X96] :
          ( c1_1(X96)
          | ~ ndr1_0
          | ~ c0_1(X96)
          | ~ c3_1(X96) )
      | ! [X97] :
          ( ~ c2_1(X97)
          | ~ c3_1(X97)
          | ~ c0_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c1_1(X98)
          | c2_1(X98)
          | c3_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X26] :
          ( ~ c0_1(X26)
          | ~ ndr1_0
          | c2_1(X26)
          | c1_1(X26) )
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c3_1(X25)
          | c0_1(X25)
          | ~ c2_1(X25) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a2188)
        & c2_1(a2188)
        & c1_1(a2188) ) )
    & ( hskp1
      | ! [X0] :
          ( ~ c0_1(X0)
          | ~ c2_1(X0)
          | ~ c3_1(X0)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ~ hskp18
      | ( ~ c2_1(a2198)
        & ~ c1_1(a2198)
        & c0_1(a2198)
        & ndr1_0 ) )
    & ( ! [X7] :
          ( c3_1(X7)
          | ~ ndr1_0
          | c1_1(X7)
          | c2_1(X7) )
      | ! [X6] :
          ( c3_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0
          | c1_1(X6) )
      | hskp28 )
    & ( hskp21
      | hskp22
      | hskp25 )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a2185)
        & ~ c1_1(a2185)
        & c2_1(a2185) ) )
    & ( ! [X61] :
          ( ~ c2_1(X61)
          | ~ ndr1_0
          | ~ c3_1(X61)
          | ~ c1_1(X61) )
      | hskp2
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c3_1(X60)
          | c0_1(X60)
          | ~ c2_1(X60) ) )
    & ( ! [X75] :
          ( ~ c3_1(X75)
          | ~ ndr1_0
          | c1_1(X75)
          | ~ c0_1(X75) )
      | ! [X77] :
          ( ~ ndr1_0
          | c2_1(X77)
          | c3_1(X77)
          | ~ c1_1(X77) )
      | ! [X76] :
          ( ~ ndr1_0
          | c0_1(X76)
          | c1_1(X76)
          | c2_1(X76) ) )
    & ( hskp22
      | ! [X52] :
          ( ~ c1_1(X52)
          | ~ ndr1_0
          | ~ c3_1(X52)
          | ~ c0_1(X52) )
      | hskp27 )
    & ( ! [X82] :
          ( c0_1(X82)
          | c1_1(X82)
          | ~ ndr1_0
          | ~ c3_1(X82) )
      | ! [X83] :
          ( c3_1(X83)
          | ~ ndr1_0
          | c2_1(X83)
          | ~ c1_1(X83) )
      | ! [X81] :
          ( c3_1(X81)
          | ~ c1_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X116] :
          ( ~ c3_1(X116)
          | ~ ndr1_0
          | c1_1(X116)
          | ~ c2_1(X116) )
      | ! [X117] :
          ( ~ ndr1_0
          | ~ c0_1(X117)
          | ~ c2_1(X117)
          | c1_1(X117) ) )
    & ( ~ hskp0
      | ( ~ c0_1(a2174)
        & c2_1(a2174)
        & ndr1_0
        & c1_1(a2174) ) )
    & ( ! [X107] :
          ( ~ ndr1_0
          | ~ c3_1(X107)
          | c2_1(X107)
          | ~ c0_1(X107) )
      | ! [X105] :
          ( ~ c0_1(X105)
          | ~ ndr1_0
          | c1_1(X105)
          | ~ c2_1(X105) )
      | ! [X106] :
          ( c3_1(X106)
          | ~ ndr1_0
          | c0_1(X106)
          | ~ c2_1(X106) ) )
    & ( hskp20
      | ! [X42] :
          ( c1_1(X42)
          | ~ ndr1_0
          | c3_1(X42)
          | ~ c0_1(X42) )
      | hskp28 )
    & ( ! [X24] :
          ( c3_1(X24)
          | ~ c2_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 )
      | hskp10
      | ! [X23] :
          ( ~ c3_1(X23)
          | c0_1(X23)
          | ~ ndr1_0
          | c2_1(X23) ) )
    & ( ! [X39] :
          ( c0_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0
          | ~ c2_1(X39) )
      | ! [X41] :
          ( c3_1(X41)
          | ~ c1_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c3_1(X40)
          | ~ c0_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X115] :
          ( ~ c0_1(X115)
          | c2_1(X115)
          | c3_1(X115)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ ndr1_0
          | ~ c3_1(X113)
          | c1_1(X113)
          | ~ c2_1(X113) )
      | ! [X114] :
          ( ~ c2_1(X114)
          | ~ ndr1_0
          | c0_1(X114)
          | ~ c3_1(X114) ) )
    & ( ~ hskp16
      | ( ~ c2_1(a2195)
        & ndr1_0
        & ~ c3_1(a2195)
        & ~ c1_1(a2195) ) )
    & ( hskp15
      | ! [X67] :
          ( c3_1(X67)
          | c0_1(X67)
          | ~ ndr1_0
          | ~ c1_1(X67) )
      | hskp16 )
    & ( ( ndr1_0
        & c3_1(a2180)
        & c0_1(a2180)
        & ~ c1_1(a2180) )
      | ~ hskp5 )
    & ( hskp11
      | ! [X22] :
          ( c3_1(X22)
          | ~ c2_1(X22)
          | ~ ndr1_0
          | ~ c0_1(X22) )
      | hskp10 )
    & ( ! [X100] :
          ( ~ ndr1_0
          | c1_1(X100)
          | c0_1(X100)
          | c3_1(X100) )
      | ! [X99] :
          ( ~ c2_1(X99)
          | c1_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X74] :
          ( c2_1(X74)
          | ~ ndr1_0
          | c1_1(X74)
          | ~ c0_1(X74) )
      | hskp16 )
    & ( hskp23
      | hskp8
      | hskp4 )
    & ( hskp29
      | ! [X31] :
          ( c3_1(X31)
          | ~ ndr1_0
          | ~ c0_1(X31)
          | ~ c1_1(X31) )
      | hskp9 )
    & ( ~ hskp25
      | ( ~ c2_1(a2265)
        & ndr1_0
        & c1_1(a2265)
        & c3_1(a2265) ) )
    & ( ( ndr1_0
        & c2_1(a2187)
        & c0_1(a2187)
        & ~ c1_1(a2187) )
      | ~ hskp11 )
    & ( ~ hskp30
      | ( c3_1(a2208)
        & ndr1_0
        & c1_1(a2208)
        & c0_1(a2208) ) )
    & ( ! [X118] :
          ( ~ c3_1(X118)
          | c1_1(X118)
          | ~ ndr1_0
          | c0_1(X118) )
      | ! [X119] :
          ( ~ c1_1(X119)
          | ~ c0_1(X119)
          | ~ ndr1_0
          | c3_1(X119) )
      | hskp8 )
    & ( ! [X53] :
          ( ~ ndr1_0
          | c2_1(X53)
          | c3_1(X53)
          | ~ c1_1(X53) )
      | hskp13
      | hskp16 )
    & ( ! [X66] :
          ( ~ c2_1(X66)
          | c0_1(X66)
          | ~ ndr1_0
          | c1_1(X66) )
      | hskp3
      | ! [X65] :
          ( ~ ndr1_0
          | c0_1(X65)
          | c2_1(X65)
          | ~ c1_1(X65) ) )
    & ( hskp18
      | ! [X69] :
          ( c0_1(X69)
          | ~ c1_1(X69)
          | ~ c2_1(X69)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c0_1(X68)
          | c3_1(X68)
          | c1_1(X68) ) )
    & ( ! [X73] :
          ( c1_1(X73)
          | ~ c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c3_1(X72)
          | ~ c1_1(X72)
          | ~ c2_1(X72) )
      | hskp4 )
    & ( hskp7
      | ! [X27] :
          ( c3_1(X27)
          | c0_1(X27)
          | ~ ndr1_0
          | ~ c2_1(X27) )
      | ! [X28] :
          ( ~ ndr1_0
          | c1_1(X28)
          | c0_1(X28)
          | ~ c3_1(X28) ) )
    & ( ! [X80] :
          ( c3_1(X80)
          | ~ ndr1_0
          | c0_1(X80)
          | c1_1(X80) )
      | ! [X78] :
          ( ~ c0_1(X78)
          | ~ ndr1_0
          | ~ c2_1(X78)
          | c1_1(X78) )
      | ! [X79] :
          ( c1_1(X79)
          | c2_1(X79)
          | c3_1(X79)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c0_1(a2176)
        & c1_1(a2176)
        & ~ c3_1(a2176) )
      | ~ hskp2 )
    & ( hskp0
      | ! [X11] :
          ( c3_1(X11)
          | ~ ndr1_0
          | ~ c2_1(X11)
          | ~ c1_1(X11) )
      | hskp22 )
    & ( ! [X90] :
          ( c1_1(X90)
          | c0_1(X90)
          | ~ c2_1(X90)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c0_1(X92)
          | ~ c2_1(X92)
          | ~ c1_1(X92)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c1_1(X91)
          | ~ c3_1(X91)
          | ~ c0_1(X91)
          | ~ ndr1_0 ) )
    & ( ~ hskp7
      | ( c2_1(a2182)
        & ndr1_0
        & ~ c0_1(a2182)
        & c3_1(a2182) ) )
    & ( ! [X13] :
          ( c2_1(X13)
          | c0_1(X13)
          | ~ c1_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0
          | c1_1(X14) )
      | hskp12 )
    & ( hskp5
      | hskp19
      | hskp2 )
    & ( hskp27
      | ! [X36] :
          ( c1_1(X36)
          | ~ ndr1_0
          | ~ c3_1(X36)
          | ~ c2_1(X36) )
      | ! [X37] :
          ( ~ c2_1(X37)
          | ~ ndr1_0
          | ~ c3_1(X37)
          | ~ c0_1(X37) ) )
    & ( hskp16
      | hskp3
      | hskp15 )
    & ( hskp22
      | hskp28
      | ! [X62] :
          ( c1_1(X62)
          | ~ ndr1_0
          | ~ c0_1(X62)
          | ~ c2_1(X62) ) )
    & ( ~ hskp4
      | ( ~ c3_1(a2179)
        & c2_1(a2179)
        & ndr1_0
        & c0_1(a2179) ) )
    & ( hskp13
      | ! [X29] :
          ( c0_1(X29)
          | ~ ndr1_0
          | ~ c3_1(X29)
          | c2_1(X29) )
      | ! [X30] :
          ( c3_1(X30)
          | ~ c0_1(X30)
          | c2_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X32] :
          ( c2_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0
          | ~ c0_1(X32) )
      | ! [X34] :
          ( c2_1(X34)
          | ~ ndr1_0
          | ~ c3_1(X34)
          | c0_1(X34) )
      | ! [X33] :
          ( ~ c1_1(X33)
          | ~ ndr1_0
          | ~ c3_1(X33)
          | ~ c2_1(X33) ) )
    & ( ~ hskp13
      | ( ~ c1_1(a2191)
        & ndr1_0
        & ~ c3_1(a2191)
        & c0_1(a2191) ) )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ ndr1_0
          | ~ c1_1(X51)
          | c3_1(X51) )
      | hskp17
      | hskp29 )
    & ( ! [X121] :
          ( c0_1(X121)
          | c2_1(X121)
          | ~ c3_1(X121)
          | ~ ndr1_0 )
      | ! [X120] :
          ( c2_1(X120)
          | ~ ndr1_0
          | ~ c1_1(X120)
          | ~ c0_1(X120) )
      | hskp11 )
    & ( ! [X101] :
          ( ~ ndr1_0
          | ~ c1_1(X101)
          | c0_1(X101)
          | ~ c2_1(X101) )
      | hskp27
      | ! [X102] :
          ( ~ ndr1_0
          | c0_1(X102)
          | c1_1(X102)
          | ~ c2_1(X102) ) )
    & ( hskp13
      | hskp14
      | hskp24 )
    & ( ! [X10] :
          ( ~ ndr1_0
          | ~ c3_1(X10)
          | c0_1(X10)
          | ~ c2_1(X10) )
      | ! [X8] :
          ( c2_1(X8)
          | ~ ndr1_0
          | c1_1(X8)
          | ~ c0_1(X8) )
      | ! [X9] :
          ( ~ c2_1(X9)
          | c3_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp9
      | hskp2 )
    & ( ( ~ c3_1(a2177)
        & ~ c1_1(a2177)
        & ndr1_0
        & ~ c0_1(a2177) )
      | ~ hskp3 )
    & ( hskp2
      | ! [X3] :
          ( ~ c0_1(X3)
          | c2_1(X3)
          | ~ ndr1_0
          | c1_1(X3) )
      | ! [X4] :
          ( ~ c2_1(X4)
          | c1_1(X4)
          | ~ ndr1_0
          | c3_1(X4) ) )
    & ( hskp30
      | hskp1
      | ! [X5] :
          ( ~ ndr1_0
          | ~ c0_1(X5)
          | c2_1(X5)
          | c1_1(X5) ) )
    & ( ! [X45] :
          ( ~ ndr1_0
          | ~ c1_1(X45)
          | c3_1(X45)
          | ~ c0_1(X45) )
      | ! [X43] :
          ( c3_1(X43)
          | c1_1(X43)
          | ~ ndr1_0
          | ~ c2_1(X43) )
      | ! [X44] :
          ( ~ c0_1(X44)
          | ~ c1_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c2_1(a2248)
        & ~ c1_1(a2248)
        & ~ c0_1(a2248) )
      | ~ hskp23 )
    & ( ( ~ c2_1(a2268)
        & ndr1_0
        & c1_1(a2268)
        & ~ c0_1(a2268) )
      | ~ hskp26 )
    & ( ! [X122] :
          ( ~ ndr1_0
          | ~ c1_1(X122)
          | c3_1(X122)
          | c2_1(X122) )
      | hskp16
      | hskp20 )
    & ( ~ hskp21
      | ( c0_1(a2216)
        & ~ c3_1(a2216)
        & ~ c2_1(a2216)
        & ndr1_0 ) )
    & ( ( ~ c1_1(a2193)
        & ~ c2_1(a2193)
        & c3_1(a2193)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ! [X95] :
          ( ~ ndr1_0
          | c1_1(X95)
          | ~ c3_1(X95)
          | ~ c2_1(X95) )
      | ! [X94] :
          ( ~ c2_1(X94)
          | ~ ndr1_0
          | c1_1(X94)
          | ~ c0_1(X94) )
      | hskp10 )
    & ( ! [X88] :
          ( ~ ndr1_0
          | ~ c2_1(X88)
          | ~ c1_1(X88)
          | c0_1(X88) )
      | ! [X89] :
          ( ~ c1_1(X89)
          | ~ c3_1(X89)
          | c2_1(X89)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ~ hskp10
      | ( c3_1(a2186)
        & ~ c0_1(a2186)
        & ~ c1_1(a2186)
        & ndr1_0 ) )
    & ( hskp16
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c2_1(X84)
          | ~ c1_1(X84)
          | ~ c3_1(X84) )
      | hskp27 )
    & ( hskp17
      | hskp26
      | hskp24 )
    & ( ! [X15] :
          ( c2_1(X15)
          | c3_1(X15)
          | ~ c1_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c1_1(X16)
          | c3_1(X16)
          | c0_1(X16) )
      | hskp14 )
    & ( hskp0
      | ! [X56] :
          ( c1_1(X56)
          | c3_1(X56)
          | ~ ndr1_0
          | ~ c0_1(X56) )
      | hskp15 )
    & ( ! [X93] :
          ( c1_1(X93)
          | c0_1(X93)
          | ~ c2_1(X93)
          | ~ ndr1_0 )
      | hskp5
      | hskp6 )
    & ( ! [X63] :
          ( ~ c0_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c2_1(X64)
          | c3_1(X64)
          | ~ ndr1_0
          | ~ c1_1(X64) )
      | hskp7 )
    & ( hskp0
      | hskp10
      | hskp13 )
    & ( ( c0_1(a2213)
        & c1_1(a2213)
        & ndr1_0
        & ~ c2_1(a2213) )
      | ~ hskp20 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp9
      | hskp29
      | ! [X31] :
          ( ~ c0_1(X31)
          | c3_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c2_1(a2248)
        & ~ c1_1(a2248)
        & ~ c0_1(a2248) )
      | ~ hskp23 )
    & ( ! [X89] :
          ( ~ c3_1(X89)
          | ~ c1_1(X89)
          | c2_1(X89)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c1_1(X88)
          | c0_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X87] :
          ( c3_1(X87)
          | ~ c0_1(X87)
          | ~ c1_1(X87)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c1_1(X86)
          | ~ c0_1(X86)
          | c2_1(X86)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ~ hskp16
      | ( ~ c2_1(a2195)
        & ndr1_0
        & ~ c3_1(a2195)
        & ~ c1_1(a2195) ) )
    & ( ! [X78] :
          ( ~ c2_1(X78)
          | c1_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c0_1(X80)
          | c1_1(X80)
          | c3_1(X80)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c3_1(X79)
          | c1_1(X79)
          | c2_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X118] :
          ( c1_1(X118)
          | c0_1(X118)
          | ~ c3_1(X118)
          | ~ ndr1_0 )
      | ! [X119] :
          ( c3_1(X119)
          | ~ c1_1(X119)
          | ~ c0_1(X119)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c2_1(a2219)
        & ~ c1_1(a2219)
        & ~ c3_1(a2219) )
      | ~ hskp22 )
    & ( hskp22
      | hskp0
      | ! [X11] :
          ( c3_1(X11)
          | ~ c1_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X12] :
          ( c0_1(X12)
          | ~ c3_1(X12)
          | c1_1(X12)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X71] :
          ( c1_1(X71)
          | ~ c0_1(X71)
          | c3_1(X71)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | ~ c0_1(X70)
          | c1_1(X70)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X14] :
          ( ~ c3_1(X14)
          | ~ c2_1(X14)
          | c1_1(X14)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c0_1(X13)
          | c2_1(X13)
          | ~ c1_1(X13)
          | ~ ndr1_0 )
      | hskp12 )
    & ( hskp16
      | ! [X122] :
          ( c2_1(X122)
          | c3_1(X122)
          | ~ c1_1(X122)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ~ hskp4
      | ( ~ c3_1(a2179)
        & c2_1(a2179)
        & ndr1_0
        & c0_1(a2179) ) )
    & ( hskp7
      | ! [X28] :
          ( c0_1(X28)
          | ~ c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c2_1(X27)
          | c3_1(X27)
          | c0_1(X27)
          | ~ ndr1_0 ) )
    & ( ~ hskp0
      | ( ~ c0_1(a2174)
        & c2_1(a2174)
        & ndr1_0
        & c1_1(a2174) ) )
    & ( ! [X77] :
          ( ~ c1_1(X77)
          | c3_1(X77)
          | c2_1(X77)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c0_1(X75)
          | ~ c3_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c0_1(X76)
          | c2_1(X76)
          | c1_1(X76)
          | ~ ndr1_0 ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a2188)
        & c2_1(a2188)
        & c1_1(a2188) ) )
    & ( ! [X9] :
          ( ~ c0_1(X9)
          | c3_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c2_1(X10)
          | c0_1(X10)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c1_1(X8)
          | ~ c0_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X85] :
          ( ~ c2_1(X85)
          | ~ c3_1(X85)
          | ~ c1_1(X85)
          | ~ ndr1_0 )
      | hskp13
      | hskp19 )
    & ( ! [X82] :
          ( c0_1(X82)
          | ~ c3_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c1_1(X81)
          | c0_1(X81)
          | c3_1(X81)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c2_1(X83)
          | c3_1(X83)
          | ~ c1_1(X83)
          | ~ ndr1_0 ) )
    & ( ! [X63] :
          ( ~ c3_1(X63)
          | ~ c2_1(X63)
          | ~ c0_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c3_1(X64)
          | ~ c1_1(X64)
          | ~ c2_1(X64)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ~ hskp13
      | ( ~ c1_1(a2191)
        & ndr1_0
        & ~ c3_1(a2191)
        & c0_1(a2191) ) )
    & ( ! [X103] :
          ( c1_1(X103)
          | c0_1(X103)
          | c2_1(X103)
          | ~ ndr1_0 )
      | hskp0
      | ! [X104] :
          ( ~ c2_1(X104)
          | c1_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp16
      | ! [X53] :
          ( c3_1(X53)
          | c2_1(X53)
          | ~ c1_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X74] :
          ( ~ c0_1(X74)
          | c2_1(X74)
          | c1_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp3
      | ! [X38] :
          ( ~ c2_1(X38)
          | c0_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp16
      | hskp17 )
    & ( hskp22
      | ! [X52] :
          ( ~ c1_1(X52)
          | ~ c0_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ~ hskp29
      | ( c1_1(a2196)
        & c2_1(a2196)
        & ndr1_0
        & c3_1(a2196) ) )
    & ( ( ~ c0_1(a2175)
        & ~ c3_1(a2175)
        & c2_1(a2175)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ! [X36] :
          ( ~ c3_1(X36)
          | c1_1(X36)
          | ~ c2_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c3_1(X37)
          | ~ c2_1(X37)
          | ~ c0_1(X37)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X59] :
          ( c1_1(X59)
          | ~ c0_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | hskp16
      | hskp13 )
    & ( ~ hskp24
      | ( c1_1(a2262)
        & c3_1(a2262)
        & ~ c0_1(a2262)
        & ndr1_0 ) )
    & ( ! [X51] :
          ( ~ c1_1(X51)
          | c3_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 )
      | hskp29
      | hskp17 )
    & ( ! [X61] :
          ( ~ c1_1(X61)
          | ~ c3_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | hskp2
      | ! [X60] :
          ( c0_1(X60)
          | ~ c3_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a2185)
        & ~ c1_1(a2185)
        & c2_1(a2185) ) )
    & ( ~ hskp10
      | ( c3_1(a2186)
        & ~ c0_1(a2186)
        & ~ c1_1(a2186)
        & ndr1_0 ) )
    & ( ~ hskp18
      | ( ~ c2_1(a2198)
        & ~ c1_1(a2198)
        & c0_1(a2198)
        & ndr1_0 ) )
    & ( ! [X1] :
          ( ~ c1_1(X1)
          | ~ c0_1(X1)
          | c2_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c0_1(X2)
          | ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ( c0_1(a2213)
        & c1_1(a2213)
        & ndr1_0
        & ~ c2_1(a2213) )
      | ~ hskp20 )
    & ( ~ hskp7
      | ( c2_1(a2182)
        & ndr1_0
        & ~ c0_1(a2182)
        & c3_1(a2182) ) )
    & ( ! [X102] :
          ( ~ c2_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c2_1(X101)
          | ~ c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X67] :
          ( ~ c1_1(X67)
          | c0_1(X67)
          | c3_1(X67)
          | ~ ndr1_0 )
      | hskp16
      | hskp15 )
    & ( hskp16
      | hskp3
      | hskp15 )
    & ( ! [X95] :
          ( c1_1(X95)
          | ~ c3_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | hskp10
      | ! [X94] :
          ( ~ c2_1(X94)
          | c1_1(X94)
          | ~ c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp30
      | hskp1
      | ! [X5] :
          ( c1_1(X5)
          | ~ c0_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X23] :
          ( c0_1(X23)
          | ~ c3_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c3_1(X24)
          | c1_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c1_1(X20)
          | ~ c2_1(X20)
          | c0_1(X20)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c2_1(X19)
          | c3_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( c1_1(X66)
          | ~ c2_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c2_1(X65)
          | ~ c1_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X56] :
          ( c1_1(X56)
          | ~ c0_1(X56)
          | c3_1(X56)
          | ~ ndr1_0 )
      | hskp15
      | hskp0 )
    & ( ! [X91] :
          ( ~ c3_1(X91)
          | ~ c0_1(X91)
          | ~ c1_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c2_1(X92)
          | ~ c1_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c1_1(X90)
          | ~ c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp14
      | hskp24 )
    & ( ! [X4] :
          ( c3_1(X4)
          | ~ c2_1(X4)
          | c1_1(X4)
          | ~ ndr1_0 )
      | hskp2
      | ! [X3] :
          ( ~ c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X26] :
          ( c2_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c2_1(X25)
          | c0_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp26
      | hskp24 )
    & ( ! [X99] :
          ( ~ c2_1(X99)
          | c1_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c3_1(X100)
          | c0_1(X100)
          | c1_1(X100)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X116] :
          ( ~ c3_1(X116)
          | c1_1(X116)
          | ~ c2_1(X116)
          | ~ ndr1_0 )
      | hskp21
      | ! [X117] :
          ( ~ c0_1(X117)
          | ~ c2_1(X117)
          | c1_1(X117)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a2184)
        & ~ c3_1(a2184)
        & ndr1_0
        & c0_1(a2184) )
      | ~ hskp8 )
    & ( ~ hskp25
      | ( ~ c2_1(a2265)
        & ndr1_0
        & c1_1(a2265)
        & c3_1(a2265) ) )
    & ( ! [X57] :
          ( c0_1(X57)
          | c3_1(X57)
          | c2_1(X57)
          | ~ ndr1_0 )
      | hskp28
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | ~ c0_1(X58)
          | ~ ndr1_0 ) )
    & ( ! [X84] :
          ( ~ c3_1(X84)
          | ~ c1_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 )
      | hskp27
      | hskp16 )
    & ( hskp11
      | ! [X120] :
          ( ~ c1_1(X120)
          | c2_1(X120)
          | ~ c0_1(X120)
          | ~ ndr1_0 )
      | ! [X121] :
          ( ~ c3_1(X121)
          | c0_1(X121)
          | c2_1(X121)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp22
      | hskp25 )
    & ( ( ndr1_0
        & c2_1(a2187)
        & c0_1(a2187)
        & ~ c1_1(a2187) )
      | ~ hskp11 )
    & ( ! [X113] :
          ( c1_1(X113)
          | ~ c2_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | ! [X115] :
          ( ~ c0_1(X115)
          | c3_1(X115)
          | c2_1(X115)
          | ~ ndr1_0 )
      | ! [X114] :
          ( ~ c2_1(X114)
          | ~ c3_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X62] :
          ( c1_1(X62)
          | ~ c2_1(X62)
          | ~ c0_1(X62)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X39] :
          ( ~ c2_1(X39)
          | c0_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c3_1(X40)
          | ~ c0_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c3_1(X41)
          | ~ c1_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp9
      | hskp2 )
    & ( ! [X7] :
          ( c2_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | hskp28
      | ! [X6] :
          ( c3_1(X6)
          | c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 ) )
    & ( ( ~ c2_1(a2268)
        & ndr1_0
        & c1_1(a2268)
        & ~ c0_1(a2268) )
      | ~ hskp26 )
    & ( hskp0
      | ! [X112] :
          ( ~ c3_1(X112)
          | ~ c1_1(X112)
          | c2_1(X112)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c1_1(X111)
          | c0_1(X111)
          | ~ c3_1(X111)
          | ~ ndr1_0 ) )
    & ( ( ~ c3_1(a2177)
        & ~ c1_1(a2177)
        & ndr1_0
        & ~ c0_1(a2177) )
      | ~ hskp3 )
    & ( ! [X93] :
          ( c1_1(X93)
          | c0_1(X93)
          | ~ c2_1(X93)
          | ~ ndr1_0 )
      | hskp6
      | hskp5 )
    & ( ~ hskp17
      | ( ~ c1_1(a2197)
        & c2_1(a2197)
        & ndr1_0
        & c3_1(a2197) ) )
    & ( hskp16
      | hskp5
      | hskp19 )
    & ( ! [X0] :
          ( ~ c0_1(X0)
          | ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ ndr1_0 )
      | hskp11
      | hskp1 )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a2181)
        & c1_1(a2181)
        & ~ c3_1(a2181) ) )
    & ( ! [X107] :
          ( ~ c0_1(X107)
          | ~ c3_1(X107)
          | c2_1(X107)
          | ~ ndr1_0 )
      | ! [X106] :
          ( c3_1(X106)
          | ~ c2_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c2_1(X105)
          | ~ c0_1(X105)
          | c1_1(X105)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( ~ c0_1(X45)
          | c3_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c2_1(X43)
          | c3_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c1_1(X44)
          | ~ c3_1(X44)
          | ~ c0_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( ~ c2_1(X48)
          | ~ c3_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c0_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c3_1(X50)
          | c0_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 ) )
    & ( ! [X15] :
          ( c2_1(X15)
          | ~ c1_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c0_1(X16)
          | c3_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0 )
      | hskp14 )
    & ( hskp2
      | ! [X46] :
          ( c1_1(X46)
          | c3_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c0_1(X47)
          | ~ c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c2_1(a2194)
        & c0_1(a2194)
        & c3_1(a2194) )
      | ~ hskp15 )
    & ( hskp23
      | hskp8
      | hskp4 )
    & ( ~ hskp27
      | ( c2_1(a2178)
        & ndr1_0
        & c3_1(a2178)
        & c0_1(a2178) ) )
    & ( hskp5
      | hskp19
      | hskp2 )
    & ( ( ndr1_0
        & ~ c0_1(a2176)
        & c1_1(a2176)
        & ~ c3_1(a2176) )
      | ~ hskp2 )
    & ( ( ndr1_0
        & c3_1(a2180)
        & c0_1(a2180)
        & ~ c1_1(a2180) )
      | ~ hskp5 )
    & ( ! [X110] :
          ( c0_1(X110)
          | c3_1(X110)
          | ~ c2_1(X110)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c1_1(X108)
          | c3_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( ~ c3_1(X109)
          | c0_1(X109)
          | ~ c1_1(X109)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp17
      | ! [X35] :
          ( ~ c0_1(X35)
          | ~ c1_1(X35)
          | c2_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X55] :
          ( ~ c1_1(X55)
          | ~ c2_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c1_1(X54)
          | c3_1(X54)
          | c2_1(X54)
          | ~ ndr1_0 ) )
    & ( ~ hskp19
      | ( ~ c2_1(a2211)
        & ndr1_0
        & ~ c0_1(a2211)
        & ~ c3_1(a2211) ) )
    & ( ! [X98] :
          ( c2_1(X98)
          | c3_1(X98)
          | c1_1(X98)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c0_1(X96)
          | ~ c3_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c0_1(X97)
          | ~ c2_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 ) )
    & ( ! [X32] :
          ( c2_1(X32)
          | ~ c0_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c1_1(X33)
          | ~ c3_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X30] :
          ( c2_1(X30)
          | ~ c0_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c2_1(X29)
          | c0_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X17] :
          ( ~ c0_1(X17)
          | ~ c1_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c0_1(X18)
          | ~ c2_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 ) )
    & ( ~ hskp21
      | ( c0_1(a2216)
        & ~ c3_1(a2216)
        & ~ c2_1(a2216)
        & ndr1_0 ) )
    & ( hskp11
      | ! [X22] :
          ( ~ c2_1(X22)
          | c3_1(X22)
          | ~ c0_1(X22)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ( ~ c1_1(a2193)
        & ~ c2_1(a2193)
        & c3_1(a2193)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ~ hskp12
      | ( ~ c3_1(a2189)
        & ndr1_0
        & ~ c2_1(a2189)
        & c1_1(a2189) ) )
    & ( ! [X68] :
          ( ~ c0_1(X68)
          | c1_1(X68)
          | c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c0_1(X69)
          | ~ c1_1(X69)
          | ~ c2_1(X69)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X73] :
          ( c1_1(X73)
          | ~ c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c1_1(X72)
          | ~ c2_1(X72)
          | ~ c3_1(X72)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ~ hskp30
      | ( c3_1(a2208)
        & ndr1_0
        & c1_1(a2208)
        & c0_1(a2208) ) )
    & ( hskp20
      | ! [X42] :
          ( c1_1(X42)
          | c3_1(X42)
          | ~ c0_1(X42)
          | ~ ndr1_0 )
      | hskp28 )
    & ( hskp11
      | ! [X123] :
          ( c1_1(X123)
          | ~ c0_1(X123)
          | ~ c3_1(X123)
          | ~ ndr1_0 )
      | ! [X124] :
          ( c3_1(X124)
          | c2_1(X124)
          | c0_1(X124)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp10
      | hskp13 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp9
      | hskp29
      | ! [X31] :
          ( ndr1_0
         => ( ~ c0_1(X31)
            | c3_1(X31)
            | ~ c1_1(X31) ) ) )
    & ( ( ndr1_0
        & ~ c2_1(a2248)
        & ~ c1_1(a2248)
        & ~ c0_1(a2248) )
      | ~ hskp23 )
    & ( ! [X89] :
          ( ndr1_0
         => ( ~ c3_1(X89)
            | ~ c1_1(X89)
            | c2_1(X89) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c1_1(X88)
            | c0_1(X88)
            | ~ c2_1(X88) ) )
      | hskp27 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c3_1(X87)
            | ~ c0_1(X87)
            | ~ c1_1(X87) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | ~ c0_1(X86)
            | c2_1(X86) ) )
      | hskp18 )
    & ( ~ hskp16
      | ( ~ c2_1(a2195)
        & ndr1_0
        & ~ c3_1(a2195)
        & ~ c1_1(a2195) ) )
    & ( ! [X78] :
          ( ndr1_0
         => ( ~ c2_1(X78)
            | c1_1(X78)
            | ~ c0_1(X78) ) )
      | ! [X80] :
          ( ndr1_0
         => ( c0_1(X80)
            | c1_1(X80)
            | c3_1(X80) ) )
      | ! [X79] :
          ( ndr1_0
         => ( c3_1(X79)
            | c1_1(X79)
            | c2_1(X79) ) ) )
    & ( hskp8
      | ! [X118] :
          ( ndr1_0
         => ( c1_1(X118)
            | c0_1(X118)
            | ~ c3_1(X118) ) )
      | ! [X119] :
          ( ndr1_0
         => ( c3_1(X119)
            | ~ c1_1(X119)
            | ~ c0_1(X119) ) ) )
    & ( ( ndr1_0
        & c2_1(a2219)
        & ~ c1_1(a2219)
        & ~ c3_1(a2219) )
      | ~ hskp22 )
    & ( hskp22
      | hskp0
      | ! [X11] :
          ( ndr1_0
         => ( c3_1(X11)
            | ~ c1_1(X11)
            | ~ c2_1(X11) ) ) )
    & ( hskp10
      | ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | ~ c3_1(X12)
            | c1_1(X12) ) )
      | hskp9 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | ~ c0_1(X71)
            | c3_1(X71) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | ~ c0_1(X70)
            | c1_1(X70) ) )
      | hskp19 )
    & ( ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | ~ c2_1(X14)
            | c1_1(X14) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c2_1(X13)
            | ~ c1_1(X13) ) )
      | hskp12 )
    & ( hskp16
      | ! [X122] :
          ( ndr1_0
         => ( c2_1(X122)
            | c3_1(X122)
            | ~ c1_1(X122) ) )
      | hskp20 )
    & ( ~ hskp4
      | ( ~ c3_1(a2179)
        & c2_1(a2179)
        & ndr1_0
        & c0_1(a2179) ) )
    & ( hskp7
      | ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | ~ c3_1(X28)
            | c1_1(X28) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c2_1(X27)
            | c3_1(X27)
            | c0_1(X27) ) ) )
    & ( ~ hskp0
      | ( ~ c0_1(a2174)
        & c2_1(a2174)
        & ndr1_0
        & c1_1(a2174) ) )
    & ( ! [X77] :
          ( ndr1_0
         => ( ~ c1_1(X77)
            | c3_1(X77)
            | c2_1(X77) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c0_1(X75)
            | ~ c3_1(X75)
            | c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( c0_1(X76)
            | c2_1(X76)
            | c1_1(X76) ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a2188)
        & c2_1(a2188)
        & c1_1(a2188) ) )
    & ( ! [X9] :
          ( ndr1_0
         => ( ~ c0_1(X9)
            | c3_1(X9)
            | ~ c2_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c3_1(X10)
            | ~ c2_1(X10)
            | c0_1(X10) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c1_1(X8)
            | ~ c0_1(X8)
            | c2_1(X8) ) ) )
    & ( ! [X85] :
          ( ndr1_0
         => ( ~ c2_1(X85)
            | ~ c3_1(X85)
            | ~ c1_1(X85) ) )
      | hskp13
      | hskp19 )
    & ( ! [X82] :
          ( ndr1_0
         => ( c0_1(X82)
            | ~ c3_1(X82)
            | c1_1(X82) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | c0_1(X81)
            | c3_1(X81) ) )
      | ! [X83] :
          ( ndr1_0
         => ( c2_1(X83)
            | c3_1(X83)
            | ~ c1_1(X83) ) ) )
    & ( ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c2_1(X63)
            | ~ c0_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( c3_1(X64)
            | ~ c1_1(X64)
            | ~ c2_1(X64) ) )
      | hskp7 )
    & ( ~ hskp13
      | ( ~ c1_1(a2191)
        & ndr1_0
        & ~ c3_1(a2191)
        & c0_1(a2191) ) )
    & ( ! [X103] :
          ( ndr1_0
         => ( c1_1(X103)
            | c0_1(X103)
            | c2_1(X103) ) )
      | hskp0
      | ! [X104] :
          ( ndr1_0
         => ( ~ c2_1(X104)
            | c1_1(X104)
            | ~ c3_1(X104) ) ) )
    & ( hskp13
      | hskp16
      | ! [X53] :
          ( ndr1_0
         => ( c3_1(X53)
            | c2_1(X53)
            | ~ c1_1(X53) ) ) )
    & ( hskp16
      | ! [X74] :
          ( ndr1_0
         => ( ~ c0_1(X74)
            | c2_1(X74)
            | c1_1(X74) ) ) )
    & ( hskp15
      | hskp3
      | ! [X38] :
          ( ndr1_0
         => ( ~ c2_1(X38)
            | c0_1(X38)
            | ~ c1_1(X38) ) ) )
    & ( hskp3
      | hskp16
      | hskp17 )
    & ( hskp22
      | ! [X52] :
          ( ndr1_0
         => ( ~ c1_1(X52)
            | ~ c0_1(X52)
            | ~ c3_1(X52) ) )
      | hskp27 )
    & ( ~ hskp29
      | ( c1_1(a2196)
        & c2_1(a2196)
        & ndr1_0
        & c3_1(a2196) ) )
    & ( ( ~ c0_1(a2175)
        & ~ c3_1(a2175)
        & c2_1(a2175)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | c1_1(X36)
            | ~ c2_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | ~ c2_1(X37)
            | ~ c0_1(X37) ) )
      | hskp27 )
    & ( ! [X59] :
          ( ndr1_0
         => ( c1_1(X59)
            | ~ c0_1(X59)
            | ~ c3_1(X59) ) )
      | hskp16
      | hskp13 )
    & ( ~ hskp24
      | ( c1_1(a2262)
        & c3_1(a2262)
        & ~ c0_1(a2262)
        & ndr1_0 ) )
    & ( ! [X51] :
          ( ndr1_0
         => ( ~ c1_1(X51)
            | c3_1(X51)
            | c0_1(X51) ) )
      | hskp29
      | hskp17 )
    & ( ! [X61] :
          ( ndr1_0
         => ( ~ c1_1(X61)
            | ~ c3_1(X61)
            | ~ c2_1(X61) ) )
      | hskp2
      | ! [X60] :
          ( ndr1_0
         => ( c0_1(X60)
            | ~ c3_1(X60)
            | ~ c2_1(X60) ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a2185)
        & ~ c1_1(a2185)
        & c2_1(a2185) ) )
    & ( ~ hskp10
      | ( c3_1(a2186)
        & ~ c0_1(a2186)
        & ~ c1_1(a2186)
        & ndr1_0 ) )
    & ( ~ hskp18
      | ( ~ c2_1(a2198)
        & ~ c1_1(a2198)
        & c0_1(a2198)
        & ndr1_0 ) )
    & ( ! [X1] :
          ( ndr1_0
         => ( ~ c1_1(X1)
            | ~ c0_1(X1)
            | c2_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( ~ c0_1(X2)
            | ~ c2_1(X2)
            | ~ c1_1(X2) ) )
      | hskp12 )
    & ( ( c0_1(a2213)
        & c1_1(a2213)
        & ndr1_0
        & ~ c2_1(a2213) )
      | ~ hskp20 )
    & ( ~ hskp7
      | ( c2_1(a2182)
        & ndr1_0
        & ~ c0_1(a2182)
        & c3_1(a2182) ) )
    & ( ! [X102] :
          ( ndr1_0
         => ( ~ c2_1(X102)
            | c1_1(X102)
            | c0_1(X102) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c2_1(X101)
            | ~ c1_1(X101)
            | c0_1(X101) ) )
      | hskp27 )
    & ( ! [X67] :
          ( ndr1_0
         => ( ~ c1_1(X67)
            | c0_1(X67)
            | c3_1(X67) ) )
      | hskp16
      | hskp15 )
    & ( hskp16
      | hskp3
      | hskp15 )
    & ( ! [X95] :
          ( ndr1_0
         => ( c1_1(X95)
            | ~ c3_1(X95)
            | ~ c2_1(X95) ) )
      | hskp10
      | ! [X94] :
          ( ndr1_0
         => ( ~ c2_1(X94)
            | c1_1(X94)
            | ~ c0_1(X94) ) ) )
    & ( hskp30
      | hskp1
      | ! [X5] :
          ( ndr1_0
         => ( c1_1(X5)
            | ~ c0_1(X5)
            | c2_1(X5) ) ) )
    & ( hskp10
      | ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | ~ c3_1(X23)
            | c2_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c3_1(X24)
            | c1_1(X24)
            | ~ c2_1(X24) ) ) )
    & ( ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c1_1(X21)
            | ~ c3_1(X21) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c1_1(X20)
            | ~ c2_1(X20)
            | c0_1(X20) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c2_1(X19)
            | c3_1(X19)
            | c1_1(X19) ) ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | ~ c2_1(X66)
            | c0_1(X66) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c2_1(X65)
            | ~ c1_1(X65)
            | c0_1(X65) ) )
      | hskp3 )
    & ( ! [X56] :
          ( ndr1_0
         => ( c1_1(X56)
            | ~ c0_1(X56)
            | c3_1(X56) ) )
      | hskp15
      | hskp0 )
    & ( ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | ~ c0_1(X91)
            | ~ c1_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( ~ c2_1(X92)
            | ~ c1_1(X92)
            | c0_1(X92) ) )
      | ! [X90] :
          ( ndr1_0
         => ( c1_1(X90)
            | ~ c2_1(X90)
            | c0_1(X90) ) ) )
    & ( hskp13
      | hskp14
      | hskp24 )
    & ( ! [X4] :
          ( ndr1_0
         => ( c3_1(X4)
            | ~ c2_1(X4)
            | c1_1(X4) ) )
      | hskp2
      | ! [X3] :
          ( ndr1_0
         => ( ~ c0_1(X3)
            | c1_1(X3)
            | c2_1(X3) ) ) )
    & ( hskp29
      | ! [X26] :
          ( ndr1_0
         => ( c2_1(X26)
            | ~ c0_1(X26)
            | c1_1(X26) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | ~ c2_1(X25)
            | c0_1(X25) ) ) )
    & ( hskp17
      | hskp26
      | hskp24 )
    & ( ! [X99] :
          ( ndr1_0
         => ( ~ c2_1(X99)
            | c1_1(X99)
            | ~ c3_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( c3_1(X100)
            | c0_1(X100)
            | c1_1(X100) ) )
      | hskp1 )
    & ( ! [X116] :
          ( ndr1_0
         => ( ~ c3_1(X116)
            | c1_1(X116)
            | ~ c2_1(X116) ) )
      | hskp21
      | ! [X117] :
          ( ndr1_0
         => ( ~ c0_1(X117)
            | ~ c2_1(X117)
            | c1_1(X117) ) ) )
    & ( ( c1_1(a2184)
        & ~ c3_1(a2184)
        & ndr1_0
        & c0_1(a2184) )
      | ~ hskp8 )
    & ( ~ hskp25
      | ( ~ c2_1(a2265)
        & ndr1_0
        & c1_1(a2265)
        & c3_1(a2265) ) )
    & ( ! [X57] :
          ( ndr1_0
         => ( c0_1(X57)
            | c3_1(X57)
            | c2_1(X57) ) )
      | hskp28
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c2_1(X58)
            | ~ c0_1(X58) ) ) )
    & ( ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | ~ c1_1(X84)
            | ~ c2_1(X84) ) )
      | hskp27
      | hskp16 )
    & ( hskp11
      | ! [X120] :
          ( ndr1_0
         => ( ~ c1_1(X120)
            | c2_1(X120)
            | ~ c0_1(X120) ) )
      | ! [X121] :
          ( ndr1_0
         => ( ~ c3_1(X121)
            | c0_1(X121)
            | c2_1(X121) ) ) )
    & ( hskp21
      | hskp22
      | hskp25 )
    & ( ( ndr1_0
        & c2_1(a2187)
        & c0_1(a2187)
        & ~ c1_1(a2187) )
      | ~ hskp11 )
    & ( ! [X113] :
          ( ndr1_0
         => ( c1_1(X113)
            | ~ c2_1(X113)
            | ~ c3_1(X113) ) )
      | ! [X115] :
          ( ndr1_0
         => ( ~ c0_1(X115)
            | c3_1(X115)
            | c2_1(X115) ) )
      | ! [X114] :
          ( ndr1_0
         => ( ~ c2_1(X114)
            | ~ c3_1(X114)
            | c0_1(X114) ) ) )
    & ( hskp22
      | ! [X62] :
          ( ndr1_0
         => ( c1_1(X62)
            | ~ c2_1(X62)
            | ~ c0_1(X62) ) )
      | hskp28 )
    & ( ! [X39] :
          ( ndr1_0
         => ( ~ c2_1(X39)
            | c0_1(X39)
            | ~ c1_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | ~ c0_1(X40)
            | c1_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( c3_1(X41)
            | ~ c1_1(X41)
            | c0_1(X41) ) ) )
    & ( hskp24
      | hskp9
      | hskp2 )
    & ( ! [X7] :
          ( ndr1_0
         => ( c2_1(X7)
            | c1_1(X7)
            | c3_1(X7) ) )
      | hskp28
      | ! [X6] :
          ( ndr1_0
         => ( c3_1(X6)
            | c1_1(X6)
            | ~ c0_1(X6) ) ) )
    & ( ( ~ c2_1(a2268)
        & ndr1_0
        & c1_1(a2268)
        & ~ c0_1(a2268) )
      | ~ hskp26 )
    & ( hskp0
      | ! [X112] :
          ( ndr1_0
         => ( ~ c3_1(X112)
            | ~ c1_1(X112)
            | c2_1(X112) ) )
      | ! [X111] :
          ( ndr1_0
         => ( c1_1(X111)
            | c0_1(X111)
            | ~ c3_1(X111) ) ) )
    & ( ( ~ c3_1(a2177)
        & ~ c1_1(a2177)
        & ndr1_0
        & ~ c0_1(a2177) )
      | ~ hskp3 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c1_1(X93)
            | c0_1(X93)
            | ~ c2_1(X93) ) )
      | hskp6
      | hskp5 )
    & ( ~ hskp17
      | ( ~ c1_1(a2197)
        & c2_1(a2197)
        & ndr1_0
        & c3_1(a2197) ) )
    & ( hskp16
      | hskp5
      | hskp19 )
    & ( ! [X0] :
          ( ndr1_0
         => ( ~ c0_1(X0)
            | ~ c3_1(X0)
            | ~ c2_1(X0) ) )
      | hskp11
      | hskp1 )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a2181)
        & c1_1(a2181)
        & ~ c3_1(a2181) ) )
    & ( ! [X107] :
          ( ndr1_0
         => ( ~ c0_1(X107)
            | ~ c3_1(X107)
            | c2_1(X107) ) )
      | ! [X106] :
          ( ndr1_0
         => ( c3_1(X106)
            | ~ c2_1(X106)
            | c0_1(X106) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c2_1(X105)
            | ~ c0_1(X105)
            | c1_1(X105) ) ) )
    & ( ! [X45] :
          ( ndr1_0
         => ( ~ c0_1(X45)
            | c3_1(X45)
            | ~ c1_1(X45) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c2_1(X43)
            | c3_1(X43)
            | c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c1_1(X44)
            | ~ c3_1(X44)
            | ~ c0_1(X44) ) ) )
    & ( ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | ~ c3_1(X48)
            | c0_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | c2_1(X49)
            | c1_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c3_1(X50)
            | c0_1(X50)
            | ~ c2_1(X50) ) ) )
    & ( ! [X15] :
          ( ndr1_0
         => ( c2_1(X15)
            | ~ c1_1(X15)
            | c3_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | c3_1(X16)
            | ~ c1_1(X16) ) )
      | hskp14 )
    & ( hskp2
      | ! [X46] :
          ( ndr1_0
         => ( c1_1(X46)
            | c3_1(X46)
            | c0_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c0_1(X47)
            | ~ c2_1(X47)
            | ~ c3_1(X47) ) ) )
    & ( ( ndr1_0
        & ~ c2_1(a2194)
        & c0_1(a2194)
        & c3_1(a2194) )
      | ~ hskp15 )
    & ( hskp23
      | hskp8
      | hskp4 )
    & ( ~ hskp27
      | ( c2_1(a2178)
        & ndr1_0
        & c3_1(a2178)
        & c0_1(a2178) ) )
    & ( hskp5
      | hskp19
      | hskp2 )
    & ( ( ndr1_0
        & ~ c0_1(a2176)
        & c1_1(a2176)
        & ~ c3_1(a2176) )
      | ~ hskp2 )
    & ( ( ndr1_0
        & c3_1(a2180)
        & c0_1(a2180)
        & ~ c1_1(a2180) )
      | ~ hskp5 )
    & ( ! [X110] :
          ( ndr1_0
         => ( c0_1(X110)
            | c3_1(X110)
            | ~ c2_1(X110) ) )
      | ! [X108] :
          ( ndr1_0
         => ( c1_1(X108)
            | c3_1(X108)
            | c0_1(X108) ) )
      | ! [X109] :
          ( ndr1_0
         => ( ~ c3_1(X109)
            | c0_1(X109)
            | ~ c1_1(X109) ) ) )
    & ( hskp10
      | hskp17
      | ! [X35] :
          ( ndr1_0
         => ( ~ c0_1(X35)
            | ~ c1_1(X35)
            | c2_1(X35) ) ) )
    & ( hskp2
      | ! [X55] :
          ( ndr1_0
         => ( ~ c1_1(X55)
            | ~ c2_1(X55)
            | c0_1(X55) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c1_1(X54)
            | c3_1(X54)
            | c2_1(X54) ) ) )
    & ( ~ hskp19
      | ( ~ c2_1(a2211)
        & ndr1_0
        & ~ c0_1(a2211)
        & ~ c3_1(a2211) ) )
    & ( ! [X98] :
          ( ndr1_0
         => ( c2_1(X98)
            | c3_1(X98)
            | c1_1(X98) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c0_1(X96)
            | ~ c3_1(X96)
            | c1_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c0_1(X97)
            | ~ c2_1(X97)
            | ~ c3_1(X97) ) ) )
    & ( ! [X32] :
          ( ndr1_0
         => ( c2_1(X32)
            | ~ c0_1(X32)
            | ~ c3_1(X32) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | c2_1(X34)
            | ~ c3_1(X34) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c1_1(X33)
            | ~ c3_1(X33)
            | ~ c2_1(X33) ) ) )
    & ( hskp13
      | ! [X30] :
          ( ndr1_0
         => ( c2_1(X30)
            | ~ c0_1(X30)
            | c3_1(X30) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c2_1(X29)
            | c0_1(X29)
            | ~ c3_1(X29) ) ) )
    & ( hskp16
      | ! [X17] :
          ( ndr1_0
         => ( ~ c0_1(X17)
            | ~ c1_1(X17)
            | c3_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | ~ c2_1(X18)
            | ~ c3_1(X18) ) ) )
    & ( ~ hskp21
      | ( c0_1(a2216)
        & ~ c3_1(a2216)
        & ~ c2_1(a2216)
        & ndr1_0 ) )
    & ( hskp11
      | ! [X22] :
          ( ndr1_0
         => ( ~ c2_1(X22)
            | c3_1(X22)
            | ~ c0_1(X22) ) )
      | hskp10 )
    & ( ( ~ c1_1(a2193)
        & ~ c2_1(a2193)
        & c3_1(a2193)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ~ hskp12
      | ( ~ c3_1(a2189)
        & ndr1_0
        & ~ c2_1(a2189)
        & c1_1(a2189) ) )
    & ( ! [X68] :
          ( ndr1_0
         => ( ~ c0_1(X68)
            | c1_1(X68)
            | c3_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( c0_1(X69)
            | ~ c1_1(X69)
            | ~ c2_1(X69) ) )
      | hskp18 )
    & ( ! [X73] :
          ( ndr1_0
         => ( c1_1(X73)
            | ~ c2_1(X73)
            | c0_1(X73) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c1_1(X72)
            | ~ c2_1(X72)
            | ~ c3_1(X72) ) )
      | hskp4 )
    & ( ~ hskp30
      | ( c3_1(a2208)
        & ndr1_0
        & c1_1(a2208)
        & c0_1(a2208) ) )
    & ( hskp20
      | ! [X42] :
          ( ndr1_0
         => ( c1_1(X42)
            | c3_1(X42)
            | ~ c0_1(X42) ) )
      | hskp28 )
    & ( hskp11
      | ! [X123] :
          ( ndr1_0
         => ( c1_1(X123)
            | ~ c0_1(X123)
            | ~ c3_1(X123) ) )
      | ! [X124] :
          ( ndr1_0
         => ( c3_1(X124)
            | c2_1(X124)
            | c0_1(X124) ) ) )
    & ( hskp0
      | hskp10
      | hskp13 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp9
          | hskp29
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c3_1(X31)
                | ~ c1_1(X31) ) ) )
        & ( ( ndr1_0
            & ~ c2_1(a2248)
            & ~ c1_1(a2248)
            & ~ c0_1(a2248) )
          | ~ hskp23 )
        & ( ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c1_1(X89)
                | c2_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | c0_1(X88)
                | ~ c2_1(X88) ) )
          | hskp27 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | ~ c0_1(X87)
                | ~ c1_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | ~ c0_1(X86)
                | c2_1(X86) ) )
          | hskp18 )
        & ( ~ hskp16
          | ( ~ c2_1(a2195)
            & ndr1_0
            & ~ c3_1(a2195)
            & ~ c1_1(a2195) ) )
        & ( ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | c1_1(X78)
                | ~ c0_1(X78) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c0_1(X80)
                | c1_1(X80)
                | c3_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c3_1(X79)
                | c1_1(X79)
                | c2_1(X79) ) ) )
        & ( hskp8
          | ! [X118] :
              ( ndr1_0
             => ( c1_1(X118)
                | c0_1(X118)
                | ~ c3_1(X118) ) )
          | ! [X119] :
              ( ndr1_0
             => ( c3_1(X119)
                | ~ c1_1(X119)
                | ~ c0_1(X119) ) ) )
        & ( ( ndr1_0
            & c2_1(a2219)
            & ~ c1_1(a2219)
            & ~ c3_1(a2219) )
          | ~ hskp22 )
        & ( hskp22
          | hskp0
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | ~ c1_1(X11)
                | ~ c2_1(X11) ) ) )
        & ( hskp10
          | ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | ~ c3_1(X12)
                | c1_1(X12) ) )
          | hskp9 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | ~ c0_1(X71)
                | c3_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c0_1(X70)
                | c1_1(X70) ) )
          | hskp19 )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c2_1(X14)
                | c1_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c2_1(X13)
                | ~ c1_1(X13) ) )
          | hskp12 )
        & ( hskp16
          | ! [X122] :
              ( ndr1_0
             => ( c2_1(X122)
                | c3_1(X122)
                | ~ c1_1(X122) ) )
          | hskp20 )
        & ( ~ hskp4
          | ( ~ c3_1(a2179)
            & c2_1(a2179)
            & ndr1_0
            & c0_1(a2179) ) )
        & ( hskp7
          | ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | ~ c3_1(X28)
                | c1_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | c3_1(X27)
                | c0_1(X27) ) ) )
        & ( ~ hskp0
          | ( ~ c0_1(a2174)
            & c2_1(a2174)
            & ndr1_0
            & c1_1(a2174) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | c3_1(X77)
                | c2_1(X77) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | ~ c3_1(X75)
                | c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c0_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a2188)
            & c2_1(a2188)
            & c1_1(a2188) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( ~ c0_1(X9)
                | c3_1(X9)
                | ~ c2_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c2_1(X10)
                | c0_1(X10) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c1_1(X8)
                | ~ c0_1(X8)
                | c2_1(X8) ) ) )
        & ( ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | ~ c3_1(X85)
                | ~ c1_1(X85) ) )
          | hskp13
          | hskp19 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c0_1(X82)
                | ~ c3_1(X82)
                | c1_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | c0_1(X81)
                | c3_1(X81) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | c3_1(X83)
                | ~ c1_1(X83) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | ~ c0_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c3_1(X64)
                | ~ c1_1(X64)
                | ~ c2_1(X64) ) )
          | hskp7 )
        & ( ~ hskp13
          | ( ~ c1_1(a2191)
            & ndr1_0
            & ~ c3_1(a2191)
            & c0_1(a2191) ) )
        & ( ! [X103] :
              ( ndr1_0
             => ( c1_1(X103)
                | c0_1(X103)
                | c2_1(X103) ) )
          | hskp0
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | c1_1(X104)
                | ~ c3_1(X104) ) ) )
        & ( hskp13
          | hskp16
          | ! [X53] :
              ( ndr1_0
             => ( c3_1(X53)
                | c2_1(X53)
                | ~ c1_1(X53) ) ) )
        & ( hskp16
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp15
          | hskp3
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | c0_1(X38)
                | ~ c1_1(X38) ) ) )
        & ( hskp3
          | hskp16
          | hskp17 )
        & ( hskp22
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | ~ c0_1(X52)
                | ~ c3_1(X52) ) )
          | hskp27 )
        & ( ~ hskp29
          | ( c1_1(a2196)
            & c2_1(a2196)
            & ndr1_0
            & c3_1(a2196) ) )
        & ( ( ~ c0_1(a2175)
            & ~ c3_1(a2175)
            & c2_1(a2175)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c1_1(X36)
                | ~ c2_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | ~ c2_1(X37)
                | ~ c0_1(X37) ) )
          | hskp27 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | ~ c0_1(X59)
                | ~ c3_1(X59) ) )
          | hskp16
          | hskp13 )
        & ( ~ hskp24
          | ( c1_1(a2262)
            & c3_1(a2262)
            & ~ c0_1(a2262)
            & ndr1_0 ) )
        & ( ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | c3_1(X51)
                | c0_1(X51) ) )
          | hskp29
          | hskp17 )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | ~ c3_1(X61)
                | ~ c2_1(X61) ) )
          | hskp2
          | ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c3_1(X60)
                | ~ c2_1(X60) ) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & ~ c0_1(a2185)
            & ~ c1_1(a2185)
            & c2_1(a2185) ) )
        & ( ~ hskp10
          | ( c3_1(a2186)
            & ~ c0_1(a2186)
            & ~ c1_1(a2186)
            & ndr1_0 ) )
        & ( ~ hskp18
          | ( ~ c2_1(a2198)
            & ~ c1_1(a2198)
            & c0_1(a2198)
            & ndr1_0 ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( ~ c1_1(X1)
                | ~ c0_1(X1)
                | c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( ~ c0_1(X2)
                | ~ c2_1(X2)
                | ~ c1_1(X2) ) )
          | hskp12 )
        & ( ( c0_1(a2213)
            & c1_1(a2213)
            & ndr1_0
            & ~ c2_1(a2213) )
          | ~ hskp20 )
        & ( ~ hskp7
          | ( c2_1(a2182)
            & ndr1_0
            & ~ c0_1(a2182)
            & c3_1(a2182) ) )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | c1_1(X102)
                | c0_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c1_1(X101)
                | c0_1(X101) ) )
          | hskp27 )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | c0_1(X67)
                | c3_1(X67) ) )
          | hskp16
          | hskp15 )
        & ( hskp16
          | hskp3
          | hskp15 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c1_1(X95)
                | ~ c3_1(X95)
                | ~ c2_1(X95) ) )
          | hskp10
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | c1_1(X94)
                | ~ c0_1(X94) ) ) )
        & ( hskp30
          | hskp1
          | ! [X5] :
              ( ndr1_0
             => ( c1_1(X5)
                | ~ c0_1(X5)
                | c2_1(X5) ) ) )
        & ( hskp10
          | ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | ~ c3_1(X23)
                | c2_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | c1_1(X24)
                | ~ c2_1(X24) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | ~ c3_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c1_1(X20)
                | ~ c2_1(X20)
                | c0_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c2_1(X19)
                | c3_1(X19)
                | c1_1(X19) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | ~ c2_1(X66)
                | c0_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c2_1(X65)
                | ~ c1_1(X65)
                | c0_1(X65) ) )
          | hskp3 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c1_1(X56)
                | ~ c0_1(X56)
                | c3_1(X56) ) )
          | hskp15
          | hskp0 )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c0_1(X91)
                | ~ c1_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | ~ c1_1(X92)
                | c0_1(X92) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | ~ c2_1(X90)
                | c0_1(X90) ) ) )
        & ( hskp13
          | hskp14
          | hskp24 )
        & ( ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | ~ c2_1(X4)
                | c1_1(X4) ) )
          | hskp2
          | ! [X3] :
              ( ndr1_0
             => ( ~ c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) ) )
        & ( hskp29
          | ! [X26] :
              ( ndr1_0
             => ( c2_1(X26)
                | ~ c0_1(X26)
                | c1_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c2_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp17
          | hskp26
          | hskp24 )
        & ( ! [X99] :
              ( ndr1_0
             => ( ~ c2_1(X99)
                | c1_1(X99)
                | ~ c3_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | c0_1(X100)
                | c1_1(X100) ) )
          | hskp1 )
        & ( ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | c1_1(X116)
                | ~ c2_1(X116) ) )
          | hskp21
          | ! [X117] :
              ( ndr1_0
             => ( ~ c0_1(X117)
                | ~ c2_1(X117)
                | c1_1(X117) ) ) )
        & ( ( c1_1(a2184)
            & ~ c3_1(a2184)
            & ndr1_0
            & c0_1(a2184) )
          | ~ hskp8 )
        & ( ~ hskp25
          | ( ~ c2_1(a2265)
            & ndr1_0
            & c1_1(a2265)
            & c3_1(a2265) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | c3_1(X57)
                | c2_1(X57) ) )
          | hskp28
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | ~ c0_1(X58) ) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c1_1(X84)
                | ~ c2_1(X84) ) )
          | hskp27
          | hskp16 )
        & ( hskp11
          | ! [X120] :
              ( ndr1_0
             => ( ~ c1_1(X120)
                | c2_1(X120)
                | ~ c0_1(X120) ) )
          | ! [X121] :
              ( ndr1_0
             => ( ~ c3_1(X121)
                | c0_1(X121)
                | c2_1(X121) ) ) )
        & ( hskp21
          | hskp22
          | hskp25 )
        & ( ( ndr1_0
            & c2_1(a2187)
            & c0_1(a2187)
            & ~ c1_1(a2187) )
          | ~ hskp11 )
        & ( ! [X113] :
              ( ndr1_0
             => ( c1_1(X113)
                | ~ c2_1(X113)
                | ~ c3_1(X113) ) )
          | ! [X115] :
              ( ndr1_0
             => ( ~ c0_1(X115)
                | c3_1(X115)
                | c2_1(X115) ) )
          | ! [X114] :
              ( ndr1_0
             => ( ~ c2_1(X114)
                | ~ c3_1(X114)
                | c0_1(X114) ) ) )
        & ( hskp22
          | ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | ~ c2_1(X62)
                | ~ c0_1(X62) ) )
          | hskp28 )
        & ( ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | c0_1(X39)
                | ~ c1_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c0_1(X40)
                | c1_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | ~ c1_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp24
          | hskp9
          | hskp2 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) )
          | hskp28
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c1_1(X6)
                | ~ c0_1(X6) ) ) )
        & ( ( ~ c2_1(a2268)
            & ndr1_0
            & c1_1(a2268)
            & ~ c0_1(a2268) )
          | ~ hskp26 )
        & ( hskp0
          | ! [X112] :
              ( ndr1_0
             => ( ~ c3_1(X112)
                | ~ c1_1(X112)
                | c2_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( c1_1(X111)
                | c0_1(X111)
                | ~ c3_1(X111) ) ) )
        & ( ( ~ c3_1(a2177)
            & ~ c1_1(a2177)
            & ndr1_0
            & ~ c0_1(a2177) )
          | ~ hskp3 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c1_1(X93)
                | c0_1(X93)
                | ~ c2_1(X93) ) )
          | hskp6
          | hskp5 )
        & ( ~ hskp17
          | ( ~ c1_1(a2197)
            & c2_1(a2197)
            & ndr1_0
            & c3_1(a2197) ) )
        & ( hskp16
          | hskp5
          | hskp19 )
        & ( ! [X0] :
              ( ndr1_0
             => ( ~ c0_1(X0)
                | ~ c3_1(X0)
                | ~ c2_1(X0) ) )
          | hskp11
          | hskp1 )
        & ( ~ hskp6
          | ( ndr1_0
            & c2_1(a2181)
            & c1_1(a2181)
            & ~ c3_1(a2181) ) )
        & ( ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | ~ c3_1(X107)
                | c2_1(X107) ) )
          | ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | ~ c2_1(X106)
                | c0_1(X106) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c2_1(X105)
                | ~ c0_1(X105)
                | c1_1(X105) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c0_1(X45)
                | c3_1(X45)
                | ~ c1_1(X45) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | c3_1(X43)
                | c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | ~ c3_1(X44)
                | ~ c0_1(X44) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | ~ c3_1(X48)
                | c0_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c2_1(X49)
                | c1_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c3_1(X50)
                | c0_1(X50)
                | ~ c2_1(X50) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( c2_1(X15)
                | ~ c1_1(X15)
                | c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c3_1(X16)
                | ~ c1_1(X16) ) )
          | hskp14 )
        & ( hskp2
          | ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | c3_1(X46)
                | c0_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c0_1(X47)
                | ~ c2_1(X47)
                | ~ c3_1(X47) ) ) )
        & ( ( ndr1_0
            & ~ c2_1(a2194)
            & c0_1(a2194)
            & c3_1(a2194) )
          | ~ hskp15 )
        & ( hskp23
          | hskp8
          | hskp4 )
        & ( ~ hskp27
          | ( c2_1(a2178)
            & ndr1_0
            & c3_1(a2178)
            & c0_1(a2178) ) )
        & ( hskp5
          | hskp19
          | hskp2 )
        & ( ( ndr1_0
            & ~ c0_1(a2176)
            & c1_1(a2176)
            & ~ c3_1(a2176) )
          | ~ hskp2 )
        & ( ( ndr1_0
            & c3_1(a2180)
            & c0_1(a2180)
            & ~ c1_1(a2180) )
          | ~ hskp5 )
        & ( ! [X110] :
              ( ndr1_0
             => ( c0_1(X110)
                | c3_1(X110)
                | ~ c2_1(X110) ) )
          | ! [X108] :
              ( ndr1_0
             => ( c1_1(X108)
                | c3_1(X108)
                | c0_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | c0_1(X109)
                | ~ c1_1(X109) ) ) )
        & ( hskp10
          | hskp17
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | ~ c1_1(X35)
                | c2_1(X35) ) ) )
        & ( hskp2
          | ! [X55] :
              ( ndr1_0
             => ( ~ c1_1(X55)
                | ~ c2_1(X55)
                | c0_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | c3_1(X54)
                | c2_1(X54) ) ) )
        & ( ~ hskp19
          | ( ~ c2_1(a2211)
            & ndr1_0
            & ~ c0_1(a2211)
            & ~ c3_1(a2211) ) )
        & ( ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | c3_1(X98)
                | c1_1(X98) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | ~ c3_1(X96)
                | c1_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | ~ c2_1(X97)
                | ~ c3_1(X97) ) ) )
        & ( ! [X32] :
              ( ndr1_0
             => ( c2_1(X32)
                | ~ c0_1(X32)
                | ~ c3_1(X32) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | ~ c3_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | ~ c3_1(X33)
                | ~ c2_1(X33) ) ) )
        & ( hskp13
          | ! [X30] :
              ( ndr1_0
             => ( c2_1(X30)
                | ~ c0_1(X30)
                | c3_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c2_1(X29)
                | c0_1(X29)
                | ~ c3_1(X29) ) ) )
        & ( hskp16
          | ! [X17] :
              ( ndr1_0
             => ( ~ c0_1(X17)
                | ~ c1_1(X17)
                | c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | ~ c2_1(X18)
                | ~ c3_1(X18) ) ) )
        & ( ~ hskp21
          | ( c0_1(a2216)
            & ~ c3_1(a2216)
            & ~ c2_1(a2216)
            & ndr1_0 ) )
        & ( hskp11
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | c3_1(X22)
                | ~ c0_1(X22) ) )
          | hskp10 )
        & ( ( ~ c1_1(a2193)
            & ~ c2_1(a2193)
            & c3_1(a2193)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ~ hskp12
          | ( ~ c3_1(a2189)
            & ndr1_0
            & ~ c2_1(a2189)
            & c1_1(a2189) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | c1_1(X68)
                | c3_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c0_1(X69)
                | ~ c1_1(X69)
                | ~ c2_1(X69) ) )
          | hskp18 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | ~ c2_1(X73)
                | c0_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | ~ c2_1(X72)
                | ~ c3_1(X72) ) )
          | hskp4 )
        & ( ~ hskp30
          | ( c3_1(a2208)
            & ndr1_0
            & c1_1(a2208)
            & c0_1(a2208) ) )
        & ( hskp20
          | ! [X42] :
              ( ndr1_0
             => ( c1_1(X42)
                | c3_1(X42)
                | ~ c0_1(X42) ) )
          | hskp28 )
        & ( hskp11
          | ! [X123] :
              ( ndr1_0
             => ( c1_1(X123)
                | ~ c0_1(X123)
                | ~ c3_1(X123) ) )
          | ! [X124] :
              ( ndr1_0
             => ( c3_1(X124)
                | c2_1(X124)
                | c0_1(X124) ) ) )
        & ( hskp0
          | hskp10
          | hskp13 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp27
          | ( c2_1(a2178)
            & ndr1_0
            & c3_1(a2178)
            & c0_1(a2178) ) )
        & ( ! [X122] :
              ( ndr1_0
             => ( ~ c0_1(X122)
                | ~ c3_1(X122)
                | ~ c2_1(X122) ) )
          | hskp1
          | hskp11 )
        & ( ! [X113] :
              ( ndr1_0
             => ( c2_1(X113)
                | ~ c1_1(X113)
                | ~ c0_1(X113) ) )
          | ! [X114] :
              ( ndr1_0
             => ( ~ c0_1(X114)
                | ~ c2_1(X114)
                | ~ c1_1(X114) ) )
          | hskp12 )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | c2_1(X90)
                | c1_1(X90) ) )
          | hskp2
          | ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | c3_1(X91)
                | ~ c2_1(X91) ) ) )
        & ( ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | ~ c0_1(X92)
                | c2_1(X92) ) )
          | hskp1
          | hskp30 )
        & ( hskp5
          | hskp19
          | hskp2 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | c3_1(X86)
                | ~ c0_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | c1_1(X85)
                | c2_1(X85) ) )
          | hskp28 )
        & ( ~ hskp18
          | ( ~ c2_1(a2198)
            & ~ c1_1(a2198)
            & c0_1(a2198)
            & ndr1_0 ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c1_1(X74)
                | c2_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | ~ c2_1(X75)
                | c3_1(X75) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c2_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp22
          | ! [X120] :
              ( ndr1_0
             => ( ~ c2_1(X120)
                | c3_1(X120)
                | ~ c1_1(X120) ) )
          | hskp0 )
        & ( ( ~ c1_1(a2193)
            & ~ c2_1(a2193)
            & c3_1(a2193)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c0_1(X40)
                | c1_1(X40) ) )
          | hskp9
          | hskp10 )
        & ( ( ndr1_0
            & ~ c2_1(a2194)
            & c0_1(a2194)
            & c3_1(a2194) )
          | ~ hskp15 )
        & ( hskp12
          | ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | c0_1(X45)
                | c2_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | c1_1(X46)
                | ~ c2_1(X46) ) ) )
        & ( hskp14
          | ! [X60] :
              ( ndr1_0
             => ( c3_1(X60)
                | c2_1(X60)
                | ~ c1_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | c0_1(X59)
                | c3_1(X59) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | ~ c1_1(X82)
                | c3_1(X82) ) )
          | hskp16
          | ! [X81] :
              ( ndr1_0
             => ( c0_1(X81)
                | ~ c2_1(X81)
                | ~ c3_1(X81) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c2_1(X35)
                | c1_1(X35)
                | c3_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | ~ c2_1(X34)
                | c0_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c1_1(X33)
                | ~ c3_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp10
          | hskp11
          | ! [X117] :
              ( ndr1_0
             => ( ~ c2_1(X117)
                | ~ c0_1(X117)
                | c3_1(X117) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( c2_1(X47)
                | ~ c3_1(X47)
                | c0_1(X47) ) )
          | hskp10
          | ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | ~ c2_1(X48)
                | c1_1(X48) ) ) )
        & ( ~ hskp19
          | ( ~ c2_1(a2211)
            & ndr1_0
            & ~ c0_1(a2211)
            & ~ c3_1(a2211) ) )
        & ( hskp29
          | ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | c0_1(X76)
                | ~ c3_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c1_1(X77)
                | c2_1(X77) ) ) )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | ~ c2_1(X32)
                | c3_1(X32) ) )
          | hskp7
          | ! [X31] :
              ( ndr1_0
             => ( c1_1(X31)
                | ~ c3_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp13
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | c0_1(X49)
                | c2_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c2_1(X50)
                | c3_1(X50)
                | ~ c0_1(X50) ) ) )
        & ( ! [X116] :
              ( ndr1_0
             => ( ~ c1_1(X116)
                | c3_1(X116)
                | ~ c0_1(X116) ) )
          | hskp9
          | hskp29 )
        & ( ( ~ c3_1(a2177)
            & ~ c1_1(a2177)
            & ndr1_0
            & ~ c0_1(a2177) )
          | ~ hskp3 )
        & ( ( c1_1(a2184)
            & ~ c3_1(a2184)
            & ndr1_0
            & c0_1(a2184) )
          | ~ hskp8 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | ~ c3_1(X54)
                | ~ c0_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c3_1(X55)
                | ~ c1_1(X55) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | ~ c3_1(X53)
                | c2_1(X53) ) ) )
        & ( hskp13
          | hskp14
          | hskp24 )
        & ( hskp10
          | ! [X115] :
              ( ndr1_0
             => ( c2_1(X115)
                | ~ c1_1(X115)
                | ~ c0_1(X115) ) )
          | hskp17 )
        & ( ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c2_1(X107)
                | c1_1(X107) ) )
          | hskp27
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | ~ c3_1(X108)
                | ~ c0_1(X108) ) ) )
        & ( ~ hskp30
          | ( c3_1(a2208)
            & ndr1_0
            & c1_1(a2208)
            & c0_1(a2208) ) )
        & ( hskp15
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | ~ c2_1(X72)
                | c0_1(X72) ) )
          | hskp3 )
        & ( ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | c0_1(X57)
                | ~ c2_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | c1_1(X58)
                | ~ c0_1(X58) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c3_1(X56)
                | c0_1(X56)
                | ~ c1_1(X56) ) ) )
        & ( ( ndr1_0
            & c3_1(a2180)
            & c0_1(a2180)
            & ~ c1_1(a2180) )
          | ~ hskp5 )
        & ( ~ hskp21
          | ( c0_1(a2216)
            & ~ c3_1(a2216)
            & ~ c2_1(a2216)
            & ndr1_0 ) )
        & ( ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | c3_1(X96)
                | ~ c0_1(X96) ) )
          | hskp28
          | hskp20 )
        & ( ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | c3_1(X98)
                | c1_1(X98) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c0_1(X100)
                | ~ c1_1(X100) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | ~ c0_1(X99)
                | c3_1(X99) ) ) )
        & ( ~ hskp10
          | ( c3_1(a2186)
            & ~ c0_1(a2186)
            & ~ c1_1(a2186)
            & ndr1_0 ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( c3_1(X16)
                | c0_1(X16)
                | c1_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c0_1(X17)
                | ~ c2_1(X17) ) )
          | hskp2 )
        & ( ( ndr1_0
            & ~ c0_1(a2176)
            & c1_1(a2176)
            & ~ c3_1(a2176) )
          | ~ hskp2 )
        & ( ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | ~ c3_1(X2)
                | ~ c2_1(X2) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c1_1(X0)
                | c2_1(X0)
                | c0_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | ~ c2_1(X1)
                | c0_1(X1) ) ) )
        & ( hskp17
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | c3_1(X62)
                | c0_1(X62) ) )
          | hskp29 )
        & ( hskp22
          | ! [X121] :
              ( ndr1_0
             => ( ~ c1_1(X121)
                | ~ c0_1(X121)
                | ~ c3_1(X121) ) )
          | hskp27 )
        & ( ( ~ c2_1(a2268)
            & ndr1_0
            & c1_1(a2268)
            & ~ c0_1(a2268) )
          | ~ hskp26 )
        & ( ! [X110] :
              ( ndr1_0
             => ( c2_1(X110)
                | ~ c1_1(X110)
                | c3_1(X110) ) )
          | hskp13
          | hskp16 )
        & ( hskp2
          | ! [X69] :
              ( ndr1_0
             => ( c2_1(X69)
                | ~ c1_1(X69)
                | c3_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c1_1(X68)
                | c0_1(X68) ) ) )
        & ( ~ hskp24
          | ( c1_1(a2262)
            & c3_1(a2262)
            & ~ c0_1(a2262)
            & ndr1_0 ) )
        & ( hskp15
          | ! [X97] :
              ( ndr1_0
             => ( c3_1(X97)
                | ~ c0_1(X97)
                | c1_1(X97) ) )
          | hskp0 )
        & ( ( ndr1_0
            & ~ c2_1(a2248)
            & ~ c1_1(a2248)
            & ~ c0_1(a2248) )
          | ~ hskp23 )
        & ( hskp16
          | hskp3
          | hskp15 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c3_1(X43)
                | c2_1(X43) ) )
          | hskp28
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c2_1(X44)
                | ~ c0_1(X44) ) ) )
        & ( hskp16
          | hskp13
          | ! [X106] :
              ( ndr1_0
             => ( c1_1(X106)
                | ~ c3_1(X106)
                | ~ c0_1(X106) ) ) )
        & ( ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | c0_1(X83)
                | ~ c2_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c3_1(X84)
                | ~ c1_1(X84) ) )
          | hskp2 )
        & ( hskp28
          | ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | ~ c2_1(X105)
                | c1_1(X105) ) )
          | hskp22 )
        & ( ~ hskp17
          | ( ~ c1_1(a2197)
            & c2_1(a2197)
            & ndr1_0
            & c3_1(a2197) ) )
        & ( ~ hskp29
          | ( c1_1(a2196)
            & c2_1(a2196)
            & ndr1_0
            & c3_1(a2196) ) )
        & ( ! [X119] :
              ( ndr1_0
             => ( ~ c3_1(X119)
                | ~ c0_1(X119)
                | ~ c2_1(X119) ) )
          | ! [X118] :
              ( ndr1_0
             => ( ~ c2_1(X118)
                | c3_1(X118)
                | ~ c1_1(X118) ) )
          | hskp7 )
        & ( hskp3
          | ! [X19] :
              ( ndr1_0
             => ( c2_1(X19)
                | ~ c1_1(X19)
                | c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp16
          | hskp15
          | ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | c3_1(X61)
                | ~ c1_1(X61) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | c3_1(X67)
                | ~ c0_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | c0_1(X66)
                | ~ c2_1(X66) ) )
          | hskp18 )
        & ( hskp24
          | hskp9
          | hskp2 )
        & ( hskp16
          | hskp5
          | hskp19 )
        & ( hskp19
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c0_1(X95)
                | c1_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | ~ c0_1(X94)
                | c1_1(X94) ) ) )
        & ( hskp4
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c1_1(X26)
                | ~ c2_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c1_1(X25)
                | ~ c2_1(X25) ) ) )
        & ( ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | c1_1(X93)
                | c2_1(X93) ) )
          | hskp16 )
        & ( hskp0
          | hskp10
          | hskp13 )
        & ( ! [X4] :
              ( ndr1_0
             => ( c1_1(X4)
                | ~ c3_1(X4)
                | ~ c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | c3_1(X5)
                | c2_1(X5) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | c1_1(X13)
                | ~ c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c1_1(X12)
                | c3_1(X12)
                | c2_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c1_1(X11)
                | c0_1(X11)
                | c3_1(X11) ) ) )
        & ( hskp3
          | hskp16
          | hskp17 )
        & ( ~ hskp7
          | ( c2_1(a2182)
            & ndr1_0
            & ~ c0_1(a2182)
            & c3_1(a2182) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & ~ c0_1(a2185)
            & ~ c1_1(a2185)
            & c2_1(a2185) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c0_1(X29)
                | c3_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c1_1(X28)
                | ~ c3_1(X28) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c2_1(X30)
                | c3_1(X30)
                | ~ c1_1(X30) ) ) )
        & ( ! [X123] :
              ( ndr1_0
             => ( ~ c2_1(X123)
                | ~ c1_1(X123)
                | ~ c3_1(X123) ) )
          | hskp27
          | hskp16 )
        & ( ~ hskp4
          | ( ~ c3_1(a2179)
            & c2_1(a2179)
            & ndr1_0
            & c0_1(a2179) ) )
        & ( ~ hskp16
          | ( ~ c2_1(a2195)
            & ndr1_0
            & ~ c3_1(a2195)
            & ~ c1_1(a2195) ) )
        & ( ~ hskp25
          | ( ~ c2_1(a2265)
            & ndr1_0
            & c1_1(a2265)
            & c3_1(a2265) ) )
        & ( hskp19
          | hskp13
          | ! [X124] :
              ( ndr1_0
             => ( ~ c1_1(X124)
                | ~ c3_1(X124)
                | ~ c2_1(X124) ) ) )
        & ( ( ndr1_0
            & c2_1(a2187)
            & c0_1(a2187)
            & ~ c1_1(a2187) )
          | ~ hskp11 )
        & ( ~ hskp12
          | ( ~ c3_1(a2189)
            & ndr1_0
            & ~ c2_1(a2189)
            & c1_1(a2189) ) )
        & ( ~ hskp0
          | ( ~ c0_1(a2174)
            & c2_1(a2174)
            & ndr1_0
            & c1_1(a2174) ) )
        & ( ! [X111] :
              ( ndr1_0
             => ( ~ c0_1(X111)
                | ~ c1_1(X111)
                | c2_1(X111) ) )
          | hskp18
          | ! [X112] :
              ( ndr1_0
             => ( ~ c0_1(X112)
                | ~ c1_1(X112)
                | c3_1(X112) ) ) )
        & ( hskp21
          | hskp22
          | hskp25 )
        & ( ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | c0_1(X70)
                | ~ c1_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c1_1(X71)
                | c2_1(X71) ) )
          | hskp27 )
        & ( ( ndr1_0
            & c2_1(a2219)
            & ~ c1_1(a2219)
            & ~ c3_1(a2219) )
          | ~ hskp22 )
        & ( ~ hskp13
          | ( ~ c1_1(a2191)
            & ndr1_0
            & ~ c3_1(a2191)
            & c0_1(a2191) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | ~ c2_1(X20)
                | c1_1(X20) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c0_1(X22)
                | ~ c3_1(X22)
                | ~ c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c1_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp6
          | hskp5
          | ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | ~ c2_1(X27)
                | c1_1(X27) ) ) )
        & ( ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | ~ c2_1(X103)
                | c1_1(X103) ) )
          | hskp10
          | ! [X104] :
              ( ndr1_0
             => ( c1_1(X104)
                | ~ c2_1(X104)
                | ~ c3_1(X104) ) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | c1_1(X88)
                | ~ c3_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c0_1(X89)
                | ~ c3_1(X89) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | c2_1(X87)
                | c3_1(X87) ) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c2_1(a2181)
            & c1_1(a2181)
            & ~ c3_1(a2181) ) )
        & ( hskp1
          | ! [X15] :
              ( ndr1_0
             => ( c1_1(X15)
                | ~ c2_1(X15)
                | ~ c3_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | c3_1(X14) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | ~ c1_1(X24)
                | c0_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | c1_1(X23)
                | c0_1(X23) ) )
          | hskp27 )
        & ( hskp17
          | hskp26
          | hskp24 )
        & ( hskp23
          | hskp8
          | hskp4 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c0_1(X6)
                | c1_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | c1_1(X7)
                | ~ c3_1(X7) ) )
          | hskp0 )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a2188)
            & c2_1(a2188)
            & c1_1(a2188) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( c1_1(X64)
                | ~ c2_1(X64)
                | ~ c0_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | c3_1(X63)
                | ~ c2_1(X63) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c2_1(X65)
                | ~ c0_1(X65)
                | ~ c3_1(X65) ) ) )
        & ( ( c0_1(a2213)
            & c1_1(a2213)
            & ndr1_0
            & ~ c2_1(a2213) )
          | ~ hskp20 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c1_1(X8)
                | c0_1(X8)
                | c3_1(X8) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | c0_1(X10)
                | ~ c3_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | c3_1(X9)
                | c0_1(X9) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( c1_1(X36)
                | ~ c3_1(X36)
                | c0_1(X36) ) )
          | hskp0
          | ! [X37] :
              ( ndr1_0
             => ( c2_1(X37)
                | ~ c1_1(X37)
                | ~ c3_1(X37) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | c1_1(X79)
                | ~ c3_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c0_1(X78)
                | ~ c3_1(X78)
                | ~ c2_1(X78) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c3_1(X80)
                | c2_1(X80)
                | ~ c0_1(X80) ) ) )
        & ( ( ~ c0_1(a2175)
            & ~ c3_1(a2175)
            & c2_1(a2175)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | ~ c3_1(X102)
                | c1_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c0_1(X101)
                | c1_1(X101)
                | ~ c2_1(X101) ) )
          | hskp21 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c1_1(X38)
                | ~ c3_1(X38)
                | c0_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c3_1(X39)
                | ~ c1_1(X39)
                | ~ c0_1(X39) ) )
          | hskp8 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c2_1(X52)
                | ~ c1_1(X52)
                | ~ c0_1(X52) ) )
          | hskp11
          | ! [X51] :
              ( ndr1_0
             => ( c2_1(X51)
                | ~ c3_1(X51)
                | c0_1(X51) ) ) )
        & ( ! [X109] :
              ( ndr1_0
             => ( c3_1(X109)
                | ~ c1_1(X109)
                | c2_1(X109) ) )
          | hskp20
          | hskp16 )
        & ( ! [X42] :
              ( ndr1_0
             => ( ~ c0_1(X42)
                | ~ c3_1(X42)
                | c1_1(X42) ) )
          | hskp11
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( ~ hskp27
        | ( c2_1(a2178)
          & ndr1_0
          & c3_1(a2178)
          & c0_1(a2178) ) )
      & ( ! [X122] :
            ( ndr1_0
           => ( ~ c0_1(X122)
              | ~ c3_1(X122)
              | ~ c2_1(X122) ) )
        | hskp1
        | hskp11 )
      & ( ! [X113] :
            ( ndr1_0
           => ( c2_1(X113)
              | ~ c1_1(X113)
              | ~ c0_1(X113) ) )
        | ! [X114] :
            ( ndr1_0
           => ( ~ c0_1(X114)
              | ~ c2_1(X114)
              | ~ c1_1(X114) ) )
        | hskp12 )
      & ( ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | c2_1(X90)
              | c1_1(X90) ) )
        | hskp2
        | ! [X91] :
            ( ndr1_0
           => ( c1_1(X91)
              | c3_1(X91)
              | ~ c2_1(X91) ) ) )
      & ( ! [X92] :
            ( ndr1_0
           => ( c1_1(X92)
              | ~ c0_1(X92)
              | c2_1(X92) ) )
        | hskp1
        | hskp30 )
      & ( hskp5
        | hskp19
        | hskp2 )
      & ( ! [X86] :
            ( ndr1_0
           => ( c1_1(X86)
              | c3_1(X86)
              | ~ c0_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( c3_1(X85)
              | c1_1(X85)
              | c2_1(X85) ) )
        | hskp28 )
      & ( ~ hskp18
        | ( ~ c2_1(a2198)
          & ~ c1_1(a2198)
          & c0_1(a2198)
          & ndr1_0 ) )
      & ( ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c1_1(X74)
              | c2_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c0_1(X75)
              | ~ c2_1(X75)
              | c3_1(X75) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c2_1(X73)
              | c0_1(X73) ) ) )
      & ( hskp22
        | ! [X120] :
            ( ndr1_0
           => ( ~ c2_1(X120)
              | c3_1(X120)
              | ~ c1_1(X120) ) )
        | hskp0 )
      & ( ( ~ c1_1(a2193)
          & ~ c2_1(a2193)
          & c3_1(a2193)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | c0_1(X40)
              | c1_1(X40) ) )
        | hskp9
        | hskp10 )
      & ( ( ndr1_0
          & ~ c2_1(a2194)
          & c0_1(a2194)
          & c3_1(a2194) )
        | ~ hskp15 )
      & ( hskp12
        | ! [X45] :
            ( ndr1_0
           => ( ~ c1_1(X45)
              | c0_1(X45)
              | c2_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | c1_1(X46)
              | ~ c2_1(X46) ) ) )
      & ( hskp14
        | ! [X60] :
            ( ndr1_0
           => ( c3_1(X60)
              | c2_1(X60)
              | ~ c1_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c1_1(X59)
              | c0_1(X59)
              | c3_1(X59) ) ) )
      & ( ! [X82] :
            ( ndr1_0
           => ( ~ c0_1(X82)
              | ~ c1_1(X82)
              | c3_1(X82) ) )
        | hskp16
        | ! [X81] :
            ( ndr1_0
           => ( c0_1(X81)
              | ~ c2_1(X81)
              | ~ c3_1(X81) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( c2_1(X35)
              | c1_1(X35)
              | c3_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c1_1(X34)
              | ~ c2_1(X34)
              | c0_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c1_1(X33)
              | ~ c3_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp10
        | hskp11
        | ! [X117] :
            ( ndr1_0
           => ( ~ c2_1(X117)
              | ~ c0_1(X117)
              | c3_1(X117) ) ) )
      & ( ! [X47] :
            ( ndr1_0
           => ( c2_1(X47)
              | ~ c3_1(X47)
              | c0_1(X47) ) )
        | hskp10
        | ! [X48] :
            ( ndr1_0
           => ( c3_1(X48)
              | ~ c2_1(X48)
              | c1_1(X48) ) ) )
      & ( ~ hskp19
        | ( ~ c2_1(a2211)
          & ndr1_0
          & ~ c0_1(a2211)
          & ~ c3_1(a2211) ) )
      & ( hskp29
        | ! [X76] :
            ( ndr1_0
           => ( ~ c2_1(X76)
              | c0_1(X76)
              | ~ c3_1(X76) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | c1_1(X77)
              | c2_1(X77) ) ) )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | ~ c2_1(X32)
              | c3_1(X32) ) )
        | hskp7
        | ! [X31] :
            ( ndr1_0
           => ( c1_1(X31)
              | ~ c3_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp13
        | ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | c0_1(X49)
              | c2_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c2_1(X50)
              | c3_1(X50)
              | ~ c0_1(X50) ) ) )
      & ( ! [X116] :
            ( ndr1_0
           => ( ~ c1_1(X116)
              | c3_1(X116)
              | ~ c0_1(X116) ) )
        | hskp9
        | hskp29 )
      & ( ( ~ c3_1(a2177)
          & ~ c1_1(a2177)
          & ndr1_0
          & ~ c0_1(a2177) )
        | ~ hskp3 )
      & ( ( c1_1(a2184)
          & ~ c3_1(a2184)
          & ndr1_0
          & c0_1(a2184) )
        | ~ hskp8 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c2_1(X54)
              | ~ c3_1(X54)
              | ~ c0_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | ~ c3_1(X55)
              | ~ c1_1(X55) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | ~ c3_1(X53)
              | c2_1(X53) ) ) )
      & ( hskp13
        | hskp14
        | hskp24 )
      & ( hskp10
        | ! [X115] :
            ( ndr1_0
           => ( c2_1(X115)
              | ~ c1_1(X115)
              | ~ c0_1(X115) ) )
        | hskp17 )
      & ( ! [X107] :
            ( ndr1_0
           => ( ~ c3_1(X107)
              | ~ c2_1(X107)
              | c1_1(X107) ) )
        | hskp27
        | ! [X108] :
            ( ndr1_0
           => ( ~ c2_1(X108)
              | ~ c3_1(X108)
              | ~ c0_1(X108) ) ) )
      & ( ~ hskp30
        | ( c3_1(a2208)
          & ndr1_0
          & c1_1(a2208)
          & c0_1(a2208) ) )
      & ( hskp15
        | ! [X72] :
            ( ndr1_0
           => ( ~ c1_1(X72)
              | ~ c2_1(X72)
              | c0_1(X72) ) )
        | hskp3 )
      & ( ! [X57] :
            ( ndr1_0
           => ( ~ c1_1(X57)
              | c0_1(X57)
              | ~ c2_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | c1_1(X58)
              | ~ c0_1(X58) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c3_1(X56)
              | c0_1(X56)
              | ~ c1_1(X56) ) ) )
      & ( ( ndr1_0
          & c3_1(a2180)
          & c0_1(a2180)
          & ~ c1_1(a2180) )
        | ~ hskp5 )
      & ( ~ hskp21
        | ( c0_1(a2216)
          & ~ c3_1(a2216)
          & ~ c2_1(a2216)
          & ndr1_0 ) )
      & ( ! [X96] :
            ( ndr1_0
           => ( c1_1(X96)
              | c3_1(X96)
              | ~ c0_1(X96) ) )
        | hskp28
        | hskp20 )
      & ( ! [X98] :
            ( ndr1_0
           => ( ~ c2_1(X98)
              | c3_1(X98)
              | c1_1(X98) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c0_1(X100)
              | ~ c1_1(X100) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c1_1(X99)
              | ~ c0_1(X99)
              | c3_1(X99) ) ) )
      & ( ~ hskp10
        | ( c3_1(a2186)
          & ~ c0_1(a2186)
          & ~ c1_1(a2186)
          & ndr1_0 ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( c3_1(X16)
              | c0_1(X16)
              | c1_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | ~ c0_1(X17)
              | ~ c2_1(X17) ) )
        | hskp2 )
      & ( ( ndr1_0
          & ~ c0_1(a2176)
          & c1_1(a2176)
          & ~ c3_1(a2176) )
        | ~ hskp2 )
      & ( ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | ~ c3_1(X2)
              | ~ c2_1(X2) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c1_1(X0)
              | c2_1(X0)
              | c0_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | ~ c2_1(X1)
              | c0_1(X1) ) ) )
      & ( hskp17
        | ! [X62] :
            ( ndr1_0
           => ( ~ c1_1(X62)
              | c3_1(X62)
              | c0_1(X62) ) )
        | hskp29 )
      & ( hskp22
        | ! [X121] :
            ( ndr1_0
           => ( ~ c1_1(X121)
              | ~ c0_1(X121)
              | ~ c3_1(X121) ) )
        | hskp27 )
      & ( ( ~ c2_1(a2268)
          & ndr1_0
          & c1_1(a2268)
          & ~ c0_1(a2268) )
        | ~ hskp26 )
      & ( ! [X110] :
            ( ndr1_0
           => ( c2_1(X110)
              | ~ c1_1(X110)
              | c3_1(X110) ) )
        | hskp13
        | hskp16 )
      & ( hskp2
        | ! [X69] :
            ( ndr1_0
           => ( c2_1(X69)
              | ~ c1_1(X69)
              | c3_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c2_1(X68)
              | ~ c1_1(X68)
              | c0_1(X68) ) ) )
      & ( ~ hskp24
        | ( c1_1(a2262)
          & c3_1(a2262)
          & ~ c0_1(a2262)
          & ndr1_0 ) )
      & ( hskp15
        | ! [X97] :
            ( ndr1_0
           => ( c3_1(X97)
              | ~ c0_1(X97)
              | c1_1(X97) ) )
        | hskp0 )
      & ( ( ndr1_0
          & ~ c2_1(a2248)
          & ~ c1_1(a2248)
          & ~ c0_1(a2248) )
        | ~ hskp23 )
      & ( hskp16
        | hskp3
        | hskp15 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c3_1(X43)
              | c2_1(X43) ) )
        | hskp28
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | ~ c2_1(X44)
              | ~ c0_1(X44) ) ) )
      & ( hskp16
        | hskp13
        | ! [X106] :
            ( ndr1_0
           => ( c1_1(X106)
              | ~ c3_1(X106)
              | ~ c0_1(X106) ) ) )
      & ( ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | c0_1(X83)
              | ~ c2_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | ~ c3_1(X84)
              | ~ c1_1(X84) ) )
        | hskp2 )
      & ( hskp28
        | ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | ~ c2_1(X105)
              | c1_1(X105) ) )
        | hskp22 )
      & ( ~ hskp17
        | ( ~ c1_1(a2197)
          & c2_1(a2197)
          & ndr1_0
          & c3_1(a2197) ) )
      & ( ~ hskp29
        | ( c1_1(a2196)
          & c2_1(a2196)
          & ndr1_0
          & c3_1(a2196) ) )
      & ( ! [X119] :
            ( ndr1_0
           => ( ~ c3_1(X119)
              | ~ c0_1(X119)
              | ~ c2_1(X119) ) )
        | ! [X118] :
            ( ndr1_0
           => ( ~ c2_1(X118)
              | c3_1(X118)
              | ~ c1_1(X118) ) )
        | hskp7 )
      & ( hskp3
        | ! [X19] :
            ( ndr1_0
           => ( c2_1(X19)
              | ~ c1_1(X19)
              | c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c2_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp16
        | hskp15
        | ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | c3_1(X61)
              | ~ c1_1(X61) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | c3_1(X67)
              | ~ c0_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c1_1(X66)
              | c0_1(X66)
              | ~ c2_1(X66) ) )
        | hskp18 )
      & ( hskp24
        | hskp9
        | hskp2 )
      & ( hskp16
        | hskp5
        | hskp19 )
      & ( hskp19
        | ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c0_1(X95)
              | c1_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( c3_1(X94)
              | ~ c0_1(X94)
              | c1_1(X94) ) ) )
      & ( hskp4
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | ~ c1_1(X26)
              | ~ c2_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c1_1(X25)
              | ~ c2_1(X25) ) ) )
      & ( ! [X93] :
            ( ndr1_0
           => ( ~ c0_1(X93)
              | c1_1(X93)
              | c2_1(X93) ) )
        | hskp16 )
      & ( hskp0
        | hskp10
        | hskp13 )
      & ( ! [X4] :
            ( ndr1_0
           => ( c1_1(X4)
              | ~ c3_1(X4)
              | ~ c0_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X5] :
            ( ndr1_0
           => ( ~ c1_1(X5)
              | c3_1(X5)
              | c2_1(X5) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | c1_1(X13)
              | ~ c0_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c1_1(X12)
              | c3_1(X12)
              | c2_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c1_1(X11)
              | c0_1(X11)
              | c3_1(X11) ) ) )
      & ( hskp3
        | hskp16
        | hskp17 )
      & ( ~ hskp7
        | ( c2_1(a2182)
          & ndr1_0
          & ~ c0_1(a2182)
          & c3_1(a2182) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ c0_1(a2185)
          & ~ c1_1(a2185)
          & c2_1(a2185) ) )
      & ( ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | c0_1(X29)
              | c3_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c1_1(X28)
              | ~ c3_1(X28) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c2_1(X30)
              | c3_1(X30)
              | ~ c1_1(X30) ) ) )
      & ( ! [X123] :
            ( ndr1_0
           => ( ~ c2_1(X123)
              | ~ c1_1(X123)
              | ~ c3_1(X123) ) )
        | hskp27
        | hskp16 )
      & ( ~ hskp4
        | ( ~ c3_1(a2179)
          & c2_1(a2179)
          & ndr1_0
          & c0_1(a2179) ) )
      & ( ~ hskp16
        | ( ~ c2_1(a2195)
          & ndr1_0
          & ~ c3_1(a2195)
          & ~ c1_1(a2195) ) )
      & ( ~ hskp25
        | ( ~ c2_1(a2265)
          & ndr1_0
          & c1_1(a2265)
          & c3_1(a2265) ) )
      & ( hskp19
        | hskp13
        | ! [X124] :
            ( ndr1_0
           => ( ~ c1_1(X124)
              | ~ c3_1(X124)
              | ~ c2_1(X124) ) ) )
      & ( ( ndr1_0
          & c2_1(a2187)
          & c0_1(a2187)
          & ~ c1_1(a2187) )
        | ~ hskp11 )
      & ( ~ hskp12
        | ( ~ c3_1(a2189)
          & ndr1_0
          & ~ c2_1(a2189)
          & c1_1(a2189) ) )
      & ( ~ hskp0
        | ( ~ c0_1(a2174)
          & c2_1(a2174)
          & ndr1_0
          & c1_1(a2174) ) )
      & ( ! [X111] :
            ( ndr1_0
           => ( ~ c0_1(X111)
              | ~ c1_1(X111)
              | c2_1(X111) ) )
        | hskp18
        | ! [X112] :
            ( ndr1_0
           => ( ~ c0_1(X112)
              | ~ c1_1(X112)
              | c3_1(X112) ) ) )
      & ( hskp21
        | hskp22
        | hskp25 )
      & ( ! [X70] :
            ( ndr1_0
           => ( ~ c2_1(X70)
              | c0_1(X70)
              | ~ c1_1(X70) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c1_1(X71)
              | c2_1(X71) ) )
        | hskp27 )
      & ( ( ndr1_0
          & c2_1(a2219)
          & ~ c1_1(a2219)
          & ~ c3_1(a2219) )
        | ~ hskp22 )
      & ( ~ hskp13
        | ( ~ c1_1(a2191)
          & ndr1_0
          & ~ c3_1(a2191)
          & c0_1(a2191) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | ~ c2_1(X20)
              | c1_1(X20) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c0_1(X22)
              | ~ c3_1(X22)
              | ~ c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c2_1(X21)
              | ~ c1_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp6
        | hskp5
        | ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | ~ c2_1(X27)
              | c1_1(X27) ) ) )
      & ( ! [X103] :
            ( ndr1_0
           => ( ~ c0_1(X103)
              | ~ c2_1(X103)
              | c1_1(X103) ) )
        | hskp10
        | ! [X104] :
            ( ndr1_0
           => ( c1_1(X104)
              | ~ c2_1(X104)
              | ~ c3_1(X104) ) ) )
      & ( ! [X88] :
            ( ndr1_0
           => ( ~ c0_1(X88)
              | c1_1(X88)
              | ~ c3_1(X88) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | ~ c0_1(X89)
              | ~ c3_1(X89) ) )
        | ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | c2_1(X87)
              | c3_1(X87) ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c2_1(a2181)
          & c1_1(a2181)
          & ~ c3_1(a2181) ) )
      & ( hskp1
        | ! [X15] :
            ( ndr1_0
           => ( c1_1(X15)
              | ~ c2_1(X15)
              | ~ c3_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | c3_1(X14) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( ~ c2_1(X24)
              | ~ c1_1(X24)
              | c0_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c2_1(X23)
              | c1_1(X23)
              | c0_1(X23) ) )
        | hskp27 )
      & ( hskp17
        | hskp26
        | hskp24 )
      & ( hskp23
        | hskp8
        | hskp4 )
      & ( ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c0_1(X6)
              | c1_1(X6) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c2_1(X7)
              | c1_1(X7)
              | ~ c3_1(X7) ) )
        | hskp0 )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a2188)
          & c2_1(a2188)
          & c1_1(a2188) ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( c1_1(X64)
              | ~ c2_1(X64)
              | ~ c0_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c0_1(X63)
              | c3_1(X63)
              | ~ c2_1(X63) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c2_1(X65)
              | ~ c0_1(X65)
              | ~ c3_1(X65) ) ) )
      & ( ( c0_1(a2213)
          & c1_1(a2213)
          & ndr1_0
          & ~ c2_1(a2213) )
        | ~ hskp20 )
      & ( ! [X8] :
            ( ndr1_0
           => ( c1_1(X8)
              | c0_1(X8)
              | c3_1(X8) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c1_1(X10)
              | c0_1(X10)
              | ~ c3_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | c3_1(X9)
              | c0_1(X9) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( c1_1(X36)
              | ~ c3_1(X36)
              | c0_1(X36) ) )
        | hskp0
        | ! [X37] :
            ( ndr1_0
           => ( c2_1(X37)
              | ~ c1_1(X37)
              | ~ c3_1(X37) ) ) )
      & ( ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | c1_1(X79)
              | ~ c3_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( c0_1(X78)
              | ~ c3_1(X78)
              | ~ c2_1(X78) ) )
        | ! [X80] :
            ( ndr1_0
           => ( c3_1(X80)
              | c2_1(X80)
              | ~ c0_1(X80) ) ) )
      & ( ( ~ c0_1(a2175)
          & ~ c3_1(a2175)
          & c2_1(a2175)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ! [X102] :
            ( ndr1_0
           => ( ~ c2_1(X102)
              | ~ c3_1(X102)
              | c1_1(X102) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c0_1(X101)
              | c1_1(X101)
              | ~ c2_1(X101) ) )
        | hskp21 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c1_1(X38)
              | ~ c3_1(X38)
              | c0_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c3_1(X39)
              | ~ c1_1(X39)
              | ~ c0_1(X39) ) )
        | hskp8 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c2_1(X52)
              | ~ c1_1(X52)
              | ~ c0_1(X52) ) )
        | hskp11
        | ! [X51] :
            ( ndr1_0
           => ( c2_1(X51)
              | ~ c3_1(X51)
              | c0_1(X51) ) ) )
      & ( ! [X109] :
            ( ndr1_0
           => ( c3_1(X109)
              | ~ c1_1(X109)
              | c2_1(X109) ) )
        | hskp20
        | hskp16 )
      & ( ! [X42] :
            ( ndr1_0
           => ( ~ c0_1(X42)
              | ~ c3_1(X42)
              | c1_1(X42) ) )
        | hskp11
        | ! [X41] :
            ( ndr1_0
           => ( c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f1033,plain,
    ( ~ spl0_1
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f78,f1030,f254]) ).

fof(f254,plain,
    ( spl0_1
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f78,plain,
    ( ~ c0_1(a2176)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1028,plain,
    ( spl0_63
    | spl0_45
    | spl0_89
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f208,f271,f662,f447,f528]) ).

fof(f271,plain,
    ( spl0_5
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f208,plain,
    ! [X36,X34,X35] :
      ( ~ ndr1_0
      | ~ c0_1(X34)
      | c1_1(X34)
      | ~ c0_1(X35)
      | ~ c3_1(X35)
      | c1_1(X36)
      | c2_1(X36)
      | ~ c2_1(X35)
      | c3_1(X36)
      | ~ c3_1(X34) ),
    inference(duplicate_literal_removal,[],[f143]) ).

fof(f143,plain,
    ! [X36,X34,X35] :
      ( ~ c3_1(X35)
      | c2_1(X36)
      | ~ c3_1(X34)
      | ~ c0_1(X34)
      | ~ ndr1_0
      | ~ ndr1_0
      | c3_1(X36)
      | ~ c0_1(X35)
      | c1_1(X36)
      | ~ c2_1(X35)
      | ~ ndr1_0
      | c1_1(X34) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1027,plain,
    ( ~ spl0_153
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f20,f279,f1024]) ).

fof(f279,plain,
    ( spl0_7
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f20,plain,
    ( ~ hskp10
    | ~ c1_1(a2186) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1017,plain,
    ( ~ spl0_5
    | spl0_74
    | spl0_64
    | spl0_32 ),
    inference(avatar_split_clause,[],[f209,f389,f532,f584,f271]) ).

fof(f532,plain,
    ( spl0_64
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f209,plain,
    ! [X3,X4] :
      ( c0_1(X3)
      | c1_1(X3)
      | hskp0
      | ~ c1_1(X4)
      | ~ c3_1(X4)
      | ~ ndr1_0
      | c2_1(X4)
      | ~ c3_1(X3) ),
    inference(duplicate_literal_removal,[],[f188]) ).

fof(f188,plain,
    ! [X3,X4] :
      ( c1_1(X3)
      | c0_1(X3)
      | ~ c3_1(X3)
      | ~ c3_1(X4)
      | c2_1(X4)
      | hskp0
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c1_1(X4) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1016,plain,
    ( ~ spl0_19
    | spl0_151 ),
    inference(avatar_split_clause,[],[f158,f1013,f328]) ).

fof(f328,plain,
    ( spl0_19
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f158,plain,
    ( c1_1(a2184)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1010,plain,
    ( ~ spl0_21
    | spl0_150 ),
    inference(avatar_split_clause,[],[f200,f1007,f338]) ).

fof(f338,plain,
    ( spl0_21
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f200,plain,
    ( c2_1(a2219)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f995,plain,
    ( ~ spl0_147
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f47,f416,f992]) ).

fof(f416,plain,
    ( spl0_38
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f47,plain,
    ( ~ hskp3
    | ~ c1_1(a2177) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f990,plain,
    ( ~ spl0_146
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f165,f311,f987]) ).

fof(f311,plain,
    ( spl0_15
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f165,plain,
    ( ~ hskp24
    | ~ c0_1(a2262) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f985,plain,
    ( ~ spl0_145
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f58,f299,f982]) ).

fof(f299,plain,
    ( spl0_12
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f58,plain,
    ( ~ hskp13
    | ~ c1_1(a2191) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f980,plain,
    ( spl0_144
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f120,f532,f977]) ).

fof(f120,plain,
    ( ~ hskp0
    | c2_1(a2174) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f975,plain,
    ( spl0_5
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f203,f307,f271]) ).

fof(f307,plain,
    ( spl0_14
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f203,plain,
    ( ~ hskp17
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f972,plain,
    ( spl0_4
    | spl0_12
    | ~ spl0_5
    | spl0_89 ),
    inference(avatar_split_clause,[],[f177,f662,f271,f299,f267]) ).

fof(f267,plain,
    ( spl0_4
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f177,plain,
    ! [X14] :
      ( ~ c0_1(X14)
      | ~ ndr1_0
      | hskp13
      | hskp16
      | c1_1(X14)
      | ~ c3_1(X14) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f966,plain,
    ( ~ spl0_20
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f31,f963,f333]) ).

fof(f333,plain,
    ( spl0_20
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f31,plain,
    ( ~ c3_1(a2216)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f961,plain,
    ( spl0_141
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f204,f307,f958]) ).

fof(f204,plain,
    ( ~ hskp17
    | c2_1(a2197) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f955,plain,
    ( ~ spl0_5
    | spl0_60
    | spl0_20
    | spl0_73 ),
    inference(avatar_split_clause,[],[f211,f580,f333,f514,f271]) ).

fof(f211,plain,
    ! [X51,X52] :
      ( ~ c2_1(X51)
      | hskp21
      | ~ c3_1(X51)
      | ~ c2_1(X52)
      | ~ c0_1(X52)
      | ~ ndr1_0
      | c1_1(X51)
      | c1_1(X52) ),
    inference(duplicate_literal_removal,[],[f122]) ).

fof(f122,plain,
    ! [X51,X52] :
      ( ~ c2_1(X52)
      | ~ c2_1(X51)
      | c1_1(X52)
      | ~ c0_1(X52)
      | hskp21
      | ~ ndr1_0
      | ~ ndr1_0
      | c1_1(X51)
      | ~ c3_1(X51) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f954,plain,
    ( spl0_4
    | spl0_25
    | ~ spl0_5
    | spl0_95 ),
    inference(avatar_split_clause,[],[f108,f696,f271,f355,f267]) ).

fof(f355,plain,
    ( spl0_25
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f108,plain,
    ! [X65] :
      ( c3_1(X65)
      | ~ ndr1_0
      | ~ c1_1(X65)
      | c0_1(X65)
      | hskp15
      | hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f951,plain,
    ( spl0_140
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f95,f544,f948]) ).

fof(f544,plain,
    ( spl0_66
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f95,plain,
    ( ~ hskp25
    | c3_1(a2265) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f941,plain,
    ( ~ spl0_5
    | spl0_1
    | spl0_106
    | spl0_9 ),
    inference(avatar_split_clause,[],[f212,f286,f753,f254,f271]) ).

fof(f212,plain,
    ! [X108,X107] :
      ( c1_1(X108)
      | c1_1(X107)
      | ~ c2_1(X108)
      | ~ c0_1(X107)
      | hskp2
      | ~ ndr1_0
      | c3_1(X108)
      | c2_1(X107) ),
    inference(duplicate_literal_removal,[],[f44]) ).

fof(f44,plain,
    ! [X108,X107] :
      ( c1_1(X108)
      | ~ c2_1(X108)
      | c1_1(X107)
      | ~ ndr1_0
      | ~ c0_1(X107)
      | hskp2
      | c3_1(X108)
      | c2_1(X107)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f938,plain,
    ( spl0_138
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f134,f380,f935]) ).

fof(f380,plain,
    ( spl0_30
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f134,plain,
    ( ~ hskp18
    | c0_1(a2198) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f933,plain,
    ( ~ spl0_25
    | spl0_137 ),
    inference(avatar_split_clause,[],[f151,f930,f355]) ).

fof(f151,plain,
    ( c0_1(a2194)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f923,plain,
    ( ~ spl0_5
    | spl0_38
    | spl0_49
    | spl0_25 ),
    inference(avatar_split_clause,[],[f206,f355,f462,f416,f271]) ).

fof(f206,plain,
    ! [X0] :
      ( hskp15
      | ~ c1_1(X0)
      | c0_1(X0)
      | hskp3
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f922,plain,
    ( ~ spl0_1
    | spl0_135 ),
    inference(avatar_split_clause,[],[f77,f919,f254]) ).

fof(f77,plain,
    ( c1_1(a2176)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f917,plain,
    ( spl0_134
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f138,f375,f914]) ).

fof(f375,plain,
    ( spl0_29
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f138,plain,
    ( ~ hskp28
    | c1_1(a2188) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f912,plain,
    ( ~ spl0_14
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f205,f909,f307]) ).

fof(f205,plain,
    ( ~ c1_1(a2197)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f907,plain,
    ( ~ spl0_5
    | spl0_94
    | spl0_14
    | spl0_95 ),
    inference(avatar_split_clause,[],[f54,f696,f307,f690,f271]) ).

fof(f690,plain,
    ( spl0_94
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f54,plain,
    ! [X99] :
      ( ~ c1_1(X99)
      | c0_1(X99)
      | c3_1(X99)
      | hskp17
      | hskp29
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f906,plain,
    ( ~ spl0_5
    | spl0_4
    | spl0_106 ),
    inference(avatar_split_clause,[],[f101,f753,f267,f271]) ).

fof(f101,plain,
    ! [X69] :
      ( ~ c0_1(X69)
      | c2_1(X69)
      | c1_1(X69)
      | hskp16
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f905,plain,
    ( ~ spl0_5
    | spl0_8
    | spl0_116
    | spl0_6 ),
    inference(avatar_split_clause,[],[f213,f275,f807,f283,f271]) ).

fof(f213,plain,
    ! [X98,X96,X97] :
      ( ~ c1_1(X98)
      | c2_1(X96)
      | ~ c3_1(X97)
      | ~ c0_1(X96)
      | c2_1(X97)
      | c0_1(X97)
      | ~ c3_1(X98)
      | ~ ndr1_0
      | ~ c2_1(X98)
      | ~ c3_1(X96) ),
    inference(duplicate_literal_removal,[],[f59]) ).

fof(f59,plain,
    ! [X98,X96,X97] :
      ( ~ c3_1(X97)
      | c2_1(X97)
      | ~ c2_1(X98)
      | ~ c0_1(X96)
      | ~ c3_1(X98)
      | c2_1(X96)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c3_1(X96)
      | ~ ndr1_0
      | ~ c1_1(X98)
      | c0_1(X97) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f904,plain,
    ( spl0_132
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f163,f263,f901]) ).

fof(f263,plain,
    ( spl0_3
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f163,plain,
    ( ~ hskp27
    | c2_1(a2178) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f898,plain,
    ( ~ spl0_131
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f110,f267,f895]) ).

fof(f110,plain,
    ( ~ hskp16
    | ~ c3_1(a2195) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f893,plain,
    ( ~ spl0_130
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f157,f328,f890]) ).

fof(f157,plain,
    ( ~ hskp8
    | ~ c3_1(a2184) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f887,plain,
    ( ~ spl0_5
    | spl0_106
    | spl0_23
    | spl0_44 ),
    inference(avatar_split_clause,[],[f214,f442,f347,f753,f271]) ).

fof(f214,plain,
    ! [X106,X104,X105] :
      ( ~ c0_1(X106)
      | ~ c3_1(X104)
      | ~ c2_1(X106)
      | ~ c0_1(X105)
      | c2_1(X105)
      | c1_1(X105)
      | c0_1(X104)
      | c3_1(X106)
      | ~ ndr1_0
      | ~ c2_1(X104) ),
    inference(duplicate_literal_removal,[],[f50]) ).

fof(f50,plain,
    ! [X106,X104,X105] :
      ( ~ ndr1_0
      | ~ ndr1_0
      | c1_1(X105)
      | ~ ndr1_0
      | ~ c2_1(X106)
      | ~ c0_1(X106)
      | c3_1(X106)
      | ~ c2_1(X104)
      | ~ c3_1(X104)
      | ~ c0_1(X105)
      | c2_1(X105)
      | c0_1(X104) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f885,plain,
    ( spl0_129
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f202,f307,f882]) ).

fof(f202,plain,
    ( ~ hskp17
    | c3_1(a2197) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f869,plain,
    ( spl0_63
    | ~ spl0_5
    | spl0_49
    | spl0_32 ),
    inference(avatar_split_clause,[],[f215,f389,f462,f271,f528]) ).

fof(f215,plain,
    ! [X28,X29,X30] :
      ( ~ c3_1(X28)
      | ~ c1_1(X30)
      | ~ ndr1_0
      | c1_1(X29)
      | c0_1(X28)
      | ~ c2_1(X30)
      | c3_1(X29)
      | c0_1(X30)
      | c2_1(X29)
      | c1_1(X28) ),
    inference(duplicate_literal_removal,[],[f149]) ).

fof(f149,plain,
    ! [X28,X29,X30] :
      ( c1_1(X29)
      | ~ c1_1(X30)
      | ~ ndr1_0
      | c0_1(X30)
      | c0_1(X28)
      | ~ c2_1(X30)
      | ~ ndr1_0
      | ~ ndr1_0
      | c1_1(X28)
      | c2_1(X29)
      | c3_1(X29)
      | ~ c3_1(X28) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f868,plain,
    ( ~ spl0_126
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f109,f267,f865]) ).

fof(f109,plain,
    ( ~ hskp16
    | ~ c1_1(a2195) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f863,plain,
    ( spl0_38
    | spl0_25
    | spl0_4 ),
    inference(avatar_split_clause,[],[f66,f267,f355,f416]) ).

fof(f66,plain,
    ( hskp16
    | hskp15
    | hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f862,plain,
    ( spl0_125
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f195,f476,f859]) ).

fof(f476,plain,
    ( spl0_52
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f195,plain,
    ( ~ hskp1
    | c2_1(a2175) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f857,plain,
    ( ~ spl0_94
    | spl0_124 ),
    inference(avatar_split_clause,[],[f147,f854,f690]) ).

fof(f147,plain,
    ( c1_1(a2196)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f852,plain,
    ( spl0_34
    | ~ spl0_5
    | spl0_78
    | spl0_45 ),
    inference(avatar_split_clause,[],[f216,f447,f605,f271,f397]) ).

fof(f397,plain,
    ( spl0_34
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f216,plain,
    ! [X124,X123] :
      ( ~ c3_1(X123)
      | ~ c2_1(X123)
      | c3_1(X124)
      | ~ ndr1_0
      | ~ c0_1(X123)
      | hskp7
      | ~ c1_1(X124)
      | ~ c2_1(X124) ),
    inference(duplicate_literal_removal,[],[f13]) ).

fof(f13,plain,
    ! [X124,X123] :
      ( ~ c2_1(X124)
      | ~ ndr1_0
      | ~ c1_1(X124)
      | ~ c0_1(X123)
      | hskp7
      | ~ c2_1(X123)
      | c3_1(X124)
      | ~ c3_1(X123)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f851,plain,
    ( ~ spl0_5
    | spl0_91
    | spl0_23
    | spl0_119 ),
    inference(avatar_split_clause,[],[f217,f823,f347,f669,f271]) ).

fof(f217,plain,
    ! [X18,X19,X20] :
      ( c1_1(X20)
      | ~ c2_1(X19)
      | c2_1(X20)
      | ~ c2_1(X18)
      | c0_1(X18)
      | ~ ndr1_0
      | c0_1(X20)
      | ~ c3_1(X19)
      | c0_1(X19)
      | c3_1(X18) ),
    inference(duplicate_literal_removal,[],[f174]) ).

fof(f174,plain,
    ! [X18,X19,X20] :
      ( ~ ndr1_0
      | ~ c3_1(X19)
      | c0_1(X20)
      | c0_1(X19)
      | ~ ndr1_0
      | ~ c2_1(X19)
      | c1_1(X20)
      | c0_1(X18)
      | c3_1(X18)
      | c2_1(X20)
      | ~ ndr1_0
      | ~ c2_1(X18) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f850,plain,
    ( ~ spl0_21
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f199,f847,f338]) ).

fof(f199,plain,
    ( ~ c1_1(a2219)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f845,plain,
    ( spl0_122
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f32,f333,f842]) ).

fof(f32,plain,
    ( ~ hskp21
    | c0_1(a2216) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f833,plain,
    ( spl0_95
    | ~ spl0_5
    | spl0_82
    | spl0_32 ),
    inference(avatar_split_clause,[],[f218,f389,f626,f271,f696]) ).

fof(f218,plain,
    ! [X50,X48,X49] :
      ( ~ c3_1(X48)
      | c3_1(X49)
      | c2_1(X49)
      | ~ c1_1(X49)
      | ~ ndr1_0
      | c0_1(X48)
      | c3_1(X50)
      | c1_1(X48)
      | c0_1(X50)
      | ~ c1_1(X50) ),
    inference(duplicate_literal_removal,[],[f123]) ).

fof(f123,plain,
    ! [X50,X48,X49] :
      ( c2_1(X49)
      | c1_1(X48)
      | c0_1(X50)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c3_1(X48)
      | c3_1(X50)
      | c3_1(X49)
      | ~ c1_1(X49)
      | c0_1(X48)
      | ~ c1_1(X50) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f832,plain,
    ( ~ spl0_5
    | spl0_45
    | spl0_11
    | spl0_52 ),
    inference(avatar_split_clause,[],[f137,f476,f294,f447,f271]) ).

fof(f137,plain,
    ! [X39] :
      ( hskp1
      | hskp11
      | ~ c2_1(X39)
      | ~ c3_1(X39)
      | ~ c0_1(X39)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f831,plain,
    ( spl0_12
    | spl0_41
    | spl0_15 ),
    inference(avatar_split_clause,[],[f51,f311,f427,f299]) ).

fof(f427,plain,
    ( spl0_41
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f51,plain,
    ( hskp24
    | hskp14
    | hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f830,plain,
    ( ~ spl0_64
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f121,f827,f532]) ).

fof(f121,plain,
    ( ~ c0_1(a2174)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f821,plain,
    ( spl0_5
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f164,f311,f271]) ).

fof(f164,plain,
    ( ~ hskp24
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f815,plain,
    ( spl0_117
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f144,f690,f812]) ).

fof(f144,plain,
    ( ~ hskp29
    | c3_1(a2196) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f805,plain,
    ( spl0_115
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f96,f544,f802]) ).

fof(f96,plain,
    ( ~ hskp25
    | c1_1(a2265) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f795,plain,
    ( ~ spl0_113
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f190,f510,f792]) ).

fof(f510,plain,
    ( spl0_59
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f190,plain,
    ( ~ hskp19
    | ~ c3_1(a2211) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f790,plain,
    ( ~ spl0_5
    | spl0_3
    | spl0_39
    | spl0_49 ),
    inference(avatar_split_clause,[],[f221,f462,f420,f263,f271]) ).

fof(f221,plain,
    ! [X102,X103] :
      ( ~ c2_1(X102)
      | c0_1(X103)
      | ~ c1_1(X102)
      | c0_1(X102)
      | hskp27
      | ~ c2_1(X103)
      | ~ ndr1_0
      | c1_1(X103) ),
    inference(duplicate_literal_removal,[],[f52]) ).

fof(f52,plain,
    ! [X102,X103] :
      ( c0_1(X103)
      | ~ ndr1_0
      | ~ c2_1(X103)
      | c1_1(X103)
      | hskp27
      | ~ c2_1(X102)
      | ~ c1_1(X102)
      | ~ ndr1_0
      | c0_1(X102) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f789,plain,
    ( ~ spl0_66
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f98,f786,f544]) ).

fof(f98,plain,
    ( ~ c2_1(a2265)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f783,plain,
    ( spl0_35
    | spl0_42
    | spl0_39
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f14,f271,f420,f433,f402]) ).

fof(f402,plain,
    ( spl0_35
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f433,plain,
    ( spl0_42
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f14,plain,
    ! [X122] :
      ( ~ ndr1_0
      | c1_1(X122)
      | hskp5
      | ~ c2_1(X122)
      | c0_1(X122)
      | hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f782,plain,
    ( ~ spl0_5
    | spl0_29
    | spl0_63
    | spl0_48 ),
    inference(avatar_split_clause,[],[f223,f459,f528,f375,f271]) ).

fof(f223,plain,
    ! [X40,X41] :
      ( ~ c0_1(X41)
      | c3_1(X41)
      | c2_1(X40)
      | c3_1(X40)
      | hskp28
      | c1_1(X40)
      | ~ ndr1_0
      | c1_1(X41) ),
    inference(duplicate_literal_removal,[],[f132]) ).

fof(f132,plain,
    ! [X40,X41] :
      ( c3_1(X40)
      | ~ ndr1_0
      | c1_1(X41)
      | c2_1(X40)
      | ~ ndr1_0
      | c1_1(X40)
      | ~ c0_1(X41)
      | c3_1(X41)
      | hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f781,plain,
    ( spl0_111
    | spl0_46
    | spl0_91
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f224,f271,f669,f450,f779]) ).

fof(f224,plain,
    ! [X31,X32,X33] :
      ( ~ ndr1_0
      | c3_1(X31)
      | ~ c2_1(X31)
      | c3_1(X33)
      | c1_1(X33)
      | c0_1(X31)
      | c0_1(X33)
      | ~ c1_1(X32)
      | c0_1(X32)
      | ~ c3_1(X32) ),
    inference(duplicate_literal_removal,[],[f148]) ).

fof(f148,plain,
    ! [X31,X32,X33] :
      ( ~ ndr1_0
      | c0_1(X32)
      | ~ c3_1(X32)
      | c3_1(X33)
      | c0_1(X31)
      | ~ c1_1(X32)
      | ~ c2_1(X31)
      | c1_1(X33)
      | c0_1(X33)
      | c3_1(X31)
      | ~ ndr1_0
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f772,plain,
    ( spl0_109
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f139,f375,f769]) ).

fof(f139,plain,
    ( ~ hskp28
    | c2_1(a2188) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f766,plain,
    ( ~ spl0_108
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f181,f402,f763]) ).

fof(f181,plain,
    ( ~ hskp6
    | ~ c3_1(a2181) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f761,plain,
    ( spl0_89
    | spl0_95
    | ~ spl0_5
    | spl0_49 ),
    inference(avatar_split_clause,[],[f226,f462,f271,f696,f662]) ).

fof(f226,plain,
    ! [X59,X60,X61] :
      ( ~ c1_1(X59)
      | c0_1(X59)
      | ~ ndr1_0
      | c0_1(X60)
      | ~ c1_1(X60)
      | ~ c3_1(X61)
      | ~ c2_1(X59)
      | c3_1(X60)
      | ~ c0_1(X61)
      | c1_1(X61) ),
    inference(duplicate_literal_removal,[],[f114]) ).

fof(f114,plain,
    ! [X59,X60,X61] :
      ( ~ c2_1(X59)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c1_1(X60)
      | ~ c1_1(X59)
      | c0_1(X59)
      | c3_1(X60)
      | ~ c0_1(X61)
      | ~ ndr1_0
      | c1_1(X61)
      | ~ c3_1(X61)
      | c0_1(X60) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f760,plain,
    ( spl0_107
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f55,f299,f757]) ).

fof(f55,plain,
    ( ~ hskp13
    | c0_1(a2191) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f755,plain,
    ( ~ spl0_5
    | spl0_106
    | spl0_94
    | spl0_23 ),
    inference(avatar_split_clause,[],[f227,f347,f690,f753,f271]) ).

fof(f227,plain,
    ! [X38,X37] :
      ( ~ c3_1(X38)
      | hskp29
      | ~ c2_1(X38)
      | c2_1(X37)
      | c0_1(X38)
      | c1_1(X37)
      | ~ c0_1(X37)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f142]) ).

fof(f142,plain,
    ! [X38,X37] :
      ( c2_1(X37)
      | ~ c3_1(X38)
      | ~ ndr1_0
      | c1_1(X37)
      | ~ ndr1_0
      | ~ c2_1(X38)
      | hskp29
      | ~ c0_1(X37)
      | c0_1(X38) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f751,plain,
    ( ~ spl0_105
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f45,f416,f748]) ).

fof(f45,plain,
    ( ~ hskp3
    | ~ c0_1(a2177) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f746,plain,
    ( ~ spl0_59
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f193,f743,f510]) ).

fof(f193,plain,
    ( ~ c2_1(a2211)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f741,plain,
    ( ~ spl0_59
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f191,f738,f510]) ).

fof(f191,plain,
    ( ~ c0_1(a2211)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f735,plain,
    ( spl0_12
    | spl0_82
    | ~ spl0_5
    | spl0_4 ),
    inference(avatar_split_clause,[],[f85,f267,f271,f626,f299]) ).

fof(f85,plain,
    ! [X73] :
      ( hskp16
      | ~ ndr1_0
      | ~ c1_1(X73)
      | c3_1(X73)
      | hskp13
      | c2_1(X73) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f734,plain,
    ( ~ spl0_19
    | spl0_102 ),
    inference(avatar_split_clause,[],[f155,f731,f328]) ).

fof(f155,plain,
    ( c0_1(a2184)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f728,plain,
    ( ~ spl0_15
    | spl0_101 ),
    inference(avatar_split_clause,[],[f166,f725,f311]) ).

fof(f166,plain,
    ( c3_1(a2262)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f723,plain,
    ( ~ spl0_31
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f128,f720,f385]) ).

fof(f385,plain,
    ( spl0_31
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f128,plain,
    ( ~ c1_1(a2185)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f718,plain,
    ( ~ spl0_5
    | spl0_7
    | spl0_73
    | spl0_60 ),
    inference(avatar_split_clause,[],[f229,f514,f580,f279,f271]) ).

fof(f229,plain,
    ! [X114,X115] :
      ( ~ c0_1(X115)
      | ~ c2_1(X115)
      | c1_1(X114)
      | hskp10
      | ~ ndr1_0
      | c1_1(X115)
      | ~ c2_1(X114)
      | ~ c3_1(X114) ),
    inference(duplicate_literal_removal,[],[f24]) ).

fof(f24,plain,
    ! [X114,X115] :
      ( ~ c2_1(X114)
      | c1_1(X114)
      | ~ c3_1(X114)
      | ~ c2_1(X115)
      | ~ ndr1_0
      | ~ c0_1(X115)
      | ~ ndr1_0
      | hskp10
      | c1_1(X115) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f712,plain,
    ( ~ spl0_52
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f197,f709,f476]) ).

fof(f197,plain,
    ( ~ c0_1(a2175)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f707,plain,
    ( ~ spl0_34
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f71,f704,f397]) ).

fof(f71,plain,
    ( ~ c0_1(a2182)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f698,plain,
    ( spl0_82
    | spl0_41
    | spl0_95
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f231,f271,f696,f427,f626]) ).

fof(f231,plain,
    ! [X120,X119] :
      ( ~ ndr1_0
      | c0_1(X120)
      | hskp14
      | c3_1(X119)
      | c3_1(X120)
      | ~ c1_1(X120)
      | ~ c1_1(X119)
      | c2_1(X119) ),
    inference(duplicate_literal_removal,[],[f16]) ).

fof(f16,plain,
    ! [X120,X119] :
      ( ~ c1_1(X120)
      | c3_1(X119)
      | hskp14
      | ~ ndr1_0
      | ~ c1_1(X119)
      | c0_1(X120)
      | c2_1(X119)
      | c3_1(X120)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f693,plain,
    ( spl0_93
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f146,f690,f686]) ).

fof(f146,plain,
    ( ~ hskp29
    | c2_1(a2196) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f679,plain,
    ( spl0_4
    | spl0_23
    | ~ spl0_5
    | spl0_67 ),
    inference(avatar_split_clause,[],[f232,f549,f271,f347,f267]) ).

fof(f232,plain,
    ! [X10,X11] :
      ( ~ c1_1(X11)
      | ~ ndr1_0
      | ~ c3_1(X10)
      | c0_1(X10)
      | hskp16
      | ~ c2_1(X10)
      | c3_1(X11)
      | ~ c0_1(X11) ),
    inference(duplicate_literal_removal,[],[f179]) ).

fof(f179,plain,
    ! [X10,X11] :
      ( ~ ndr1_0
      | ~ c1_1(X11)
      | hskp16
      | c0_1(X10)
      | ~ c3_1(X10)
      | ~ c0_1(X11)
      | c3_1(X11)
      | ~ c2_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f671,plain,
    ( spl0_34
    | ~ spl0_5
    | spl0_32
    | spl0_91 ),
    inference(avatar_split_clause,[],[f235,f669,f389,f271,f397]) ).

fof(f235,plain,
    ! [X80,X81] :
      ( c0_1(X80)
      | c3_1(X80)
      | ~ c3_1(X81)
      | ~ c2_1(X80)
      | ~ ndr1_0
      | hskp7
      | c1_1(X81)
      | c0_1(X81) ),
    inference(duplicate_literal_removal,[],[f81]) ).

fof(f81,plain,
    ! [X80,X81] :
      ( c1_1(X81)
      | ~ c3_1(X81)
      | ~ ndr1_0
      | ~ ndr1_0
      | c3_1(X80)
      | c0_1(X81)
      | hskp7
      | c0_1(X80)
      | ~ c2_1(X80) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f667,plain,
    ( spl0_89
    | spl0_11
    | ~ spl0_5
    | spl0_90 ),
    inference(avatar_split_clause,[],[f236,f665,f271,f294,f662]) ).

fof(f236,plain,
    ! [X21,X22] :
      ( c0_1(X21)
      | c3_1(X21)
      | c2_1(X21)
      | ~ ndr1_0
      | hskp11
      | ~ c0_1(X22)
      | c1_1(X22)
      | ~ c3_1(X22) ),
    inference(duplicate_literal_removal,[],[f169]) ).

fof(f169,plain,
    ! [X21,X22] :
      ( c0_1(X21)
      | c3_1(X21)
      | ~ c0_1(X22)
      | ~ ndr1_0
      | c2_1(X21)
      | ~ c3_1(X22)
      | ~ ndr1_0
      | hskp11
      | c1_1(X22) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f659,plain,
    ( ~ spl0_88
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f135,f380,f656]) ).

fof(f135,plain,
    ( ~ hskp18
    | ~ c1_1(a2198) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f645,plain,
    ( spl0_73
    | spl0_23
    | spl0_13
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f237,f271,f303,f347,f580]) ).

fof(f237,plain,
    ! [X62,X63,X64] :
      ( ~ ndr1_0
      | ~ c0_1(X62)
      | ~ c3_1(X64)
      | c2_1(X62)
      | c3_1(X62)
      | ~ c2_1(X63)
      | ~ c3_1(X63)
      | c0_1(X64)
      | c1_1(X63)
      | ~ c2_1(X64) ),
    inference(duplicate_literal_removal,[],[f113]) ).

fof(f113,plain,
    ! [X62,X63,X64] :
      ( c2_1(X62)
      | c0_1(X64)
      | ~ ndr1_0
      | ~ c2_1(X64)
      | ~ c0_1(X62)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c2_1(X63)
      | ~ c3_1(X63)
      | c3_1(X62)
      | c1_1(X63) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f644,plain,
    ( ~ spl0_30
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f136,f641,f380]) ).

fof(f136,plain,
    ( ~ c2_1(a2198)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f639,plain,
    ( ~ spl0_4
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f112,f636,f267]) ).

fof(f112,plain,
    ( ~ c2_1(a2195)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f634,plain,
    ( ~ spl0_42
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f104,f631,f433]) ).

fof(f104,plain,
    ( ~ c1_1(a2180)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f629,plain,
    ( spl0_7
    | spl0_64
    | spl0_12 ),
    inference(avatar_split_clause,[],[f12,f299,f532,f279]) ).

fof(f12,plain,
    ( hskp13
    | hskp0
    | hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f624,plain,
    ( ~ spl0_81
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f129,f385,f621]) ).

fof(f129,plain,
    ( ~ hskp9
    | ~ c0_1(a2185) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f619,plain,
    ( ~ spl0_15
    | spl0_80 ),
    inference(avatar_split_clause,[],[f167,f616,f311]) ).

fof(f167,plain,
    ( c1_1(a2262)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f614,plain,
    ( spl0_30
    | spl0_67
    | spl0_61
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f239,f271,f518,f549,f380]) ).

fof(f239,plain,
    ! [X6,X7] :
      ( ~ ndr1_0
      | c2_1(X6)
      | ~ c1_1(X7)
      | ~ c0_1(X7)
      | c3_1(X7)
      | ~ c1_1(X6)
      | hskp18
      | ~ c0_1(X6) ),
    inference(duplicate_literal_removal,[],[f185]) ).

fof(f185,plain,
    ! [X6,X7] :
      ( ~ ndr1_0
      | c2_1(X6)
      | ~ c1_1(X7)
      | ~ ndr1_0
      | ~ c0_1(X7)
      | ~ c0_1(X6)
      | hskp18
      | c3_1(X7)
      | ~ c1_1(X6) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f612,plain,
    ( spl0_79
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f70,f397,f609]) ).

fof(f70,plain,
    ( ~ hskp7
    | c3_1(a2182) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f607,plain,
    ( ~ spl0_5
    | spl0_64
    | spl0_21
    | spl0_78 ),
    inference(avatar_split_clause,[],[f75,f605,f338,f532,f271]) ).

fof(f75,plain,
    ! [X85] :
      ( ~ c1_1(X85)
      | hskp22
      | hskp0
      | c3_1(X85)
      | ~ ndr1_0
      | ~ c2_1(X85) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f603,plain,
    ( ~ spl0_41
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f28,f600,f427]) ).

fof(f28,plain,
    ( ~ c1_1(a2193)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f597,plain,
    ( ~ spl0_76
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f48,f416,f594]) ).

fof(f48,plain,
    ( ~ hskp3
    | ~ c3_1(a2177) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f592,plain,
    ( ~ spl0_75
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f27,f427,f589]) ).

fof(f27,plain,
    ( ~ hskp14
    | ~ c2_1(a2193) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f586,plain,
    ( spl0_3
    | ~ spl0_5
    | spl0_49
    | spl0_74 ),
    inference(avatar_split_clause,[],[f240,f584,f462,f271,f263]) ).

fof(f240,plain,
    ! [X116,X117] :
      ( ~ c3_1(X117)
      | ~ c2_1(X116)
      | ~ ndr1_0
      | c0_1(X116)
      | c2_1(X117)
      | hskp27
      | ~ c1_1(X116)
      | ~ c1_1(X117) ),
    inference(duplicate_literal_removal,[],[f23]) ).

fof(f23,plain,
    ! [X116,X117] :
      ( ~ c1_1(X117)
      | ~ ndr1_0
      | c0_1(X116)
      | ~ ndr1_0
      | c2_1(X117)
      | hskp27
      | ~ c1_1(X116)
      | ~ c3_1(X117)
      | ~ c2_1(X116) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f582,plain,
    ( spl0_3
    | spl0_45
    | spl0_73
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f241,f271,f580,f447,f263]) ).

fof(f241,plain,
    ! [X91,X92] :
      ( ~ ndr1_0
      | ~ c3_1(X91)
      | ~ c2_1(X91)
      | ~ c2_1(X92)
      | hskp27
      | c1_1(X91)
      | ~ c0_1(X92)
      | ~ c3_1(X92) ),
    inference(duplicate_literal_removal,[],[f67]) ).

fof(f67,plain,
    ! [X91,X92] :
      ( ~ c0_1(X92)
      | ~ c2_1(X91)
      | ~ c2_1(X92)
      | ~ c3_1(X92)
      | c1_1(X91)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp27
      | ~ c3_1(X91) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f578,plain,
    ( spl0_72
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f118,f532,f575]) ).

fof(f118,plain,
    ( ~ hskp0
    | c1_1(a2174) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f573,plain,
    ( ~ spl0_29
    | spl0_71 ),
    inference(avatar_split_clause,[],[f140,f570,f375]) ).

fof(f140,plain,
    ( c0_1(a2188)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f568,plain,
    ( spl0_38
    | spl0_4
    | spl0_14 ),
    inference(avatar_split_clause,[],[f207,f307,f267,f416]) ).

fof(f207,plain,
    ( hskp17
    | hskp16
    | hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f567,plain,
    ( ~ spl0_12
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f56,f564,f299]) ).

fof(f56,plain,
    ( ~ c3_1(a2191)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f552,plain,
    ( ~ spl0_16
    | spl0_5 ),
    inference(avatar_split_clause,[],[f36,f271,f315]) ).

fof(f315,plain,
    ( spl0_16
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f36,plain,
    ( ndr1_0
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f551,plain,
    ( ~ spl0_5
    | spl0_32
    | spl0_19
    | spl0_67 ),
    inference(avatar_split_clause,[],[f242,f549,f328,f389,f271]) ).

fof(f242,plain,
    ! [X72,X71] :
      ( c3_1(X72)
      | hskp8
      | ~ c3_1(X71)
      | ~ c1_1(X72)
      | c0_1(X71)
      | ~ c0_1(X72)
      | ~ ndr1_0
      | c1_1(X71) ),
    inference(duplicate_literal_removal,[],[f86]) ).

fof(f86,plain,
    ! [X72,X71] :
      ( ~ c1_1(X72)
      | c0_1(X71)
      | ~ ndr1_0
      | ~ c0_1(X72)
      | ~ ndr1_0
      | hskp8
      | c1_1(X71)
      | ~ c3_1(X71)
      | c3_1(X72) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f547,plain,
    ( spl0_20
    | spl0_21
    | spl0_66 ),
    inference(avatar_split_clause,[],[f131,f544,f338,f333]) ).

fof(f131,plain,
    ( hskp25
    | hskp22
    | hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f541,plain,
    ( spl0_64
    | spl0_25
    | ~ spl0_5
    | spl0_48 ),
    inference(avatar_split_clause,[],[f15,f459,f271,f355,f532]) ).

fof(f15,plain,
    ! [X121] :
      ( c3_1(X121)
      | ~ c0_1(X121)
      | ~ ndr1_0
      | hskp15
      | hskp0
      | c1_1(X121) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f540,plain,
    ( ~ spl0_65
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f30,f333,f537]) ).

fof(f30,plain,
    ( ~ hskp21
    | ~ c2_1(a2216) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f530,plain,
    ( ~ spl0_5
    | spl0_63
    | spl0_46
    | spl0_60 ),
    inference(avatar_split_clause,[],[f243,f514,f450,f528,f271]) ).

fof(f243,plain,
    ! [X82,X83,X84] :
      ( c1_1(X83)
      | c1_1(X82)
      | c0_1(X82)
      | c1_1(X84)
      | ~ c0_1(X83)
      | c2_1(X84)
      | ~ ndr1_0
      | ~ c2_1(X83)
      | c3_1(X82)
      | c3_1(X84) ),
    inference(duplicate_literal_removal,[],[f80]) ).

fof(f80,plain,
    ! [X82,X83,X84] :
      ( c2_1(X84)
      | c3_1(X84)
      | ~ ndr1_0
      | ~ c0_1(X83)
      | c1_1(X83)
      | c3_1(X82)
      | c0_1(X82)
      | ~ c2_1(X83)
      | ~ ndr1_0
      | c1_1(X84)
      | ~ ndr1_0
      | c1_1(X82) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f526,plain,
    ( spl0_14
    | ~ spl0_5
    | spl0_61
    | spl0_7 ),
    inference(avatar_split_clause,[],[f168,f279,f518,f271,f307]) ).

fof(f168,plain,
    ! [X23] :
      ( hskp10
      | c2_1(X23)
      | ~ ndr1_0
      | hskp17
      | ~ c0_1(X23)
      | ~ c1_1(X23) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f524,plain,
    ( spl0_62
    | ~ spl0_5
    | spl0_39
    | spl0_49 ),
    inference(avatar_split_clause,[],[f244,f462,f420,f271,f522]) ).

fof(f244,plain,
    ! [X88,X86,X87] :
      ( ~ c1_1(X87)
      | c0_1(X87)
      | ~ c2_1(X86)
      | ~ ndr1_0
      | ~ c1_1(X88)
      | ~ c0_1(X88)
      | c0_1(X86)
      | ~ c2_1(X87)
      | c1_1(X86)
      | ~ c3_1(X88) ),
    inference(duplicate_literal_removal,[],[f74]) ).

fof(f74,plain,
    ! [X88,X86,X87] :
      ( ~ ndr1_0
      | ~ ndr1_0
      | ~ c0_1(X88)
      | c1_1(X86)
      | ~ ndr1_0
      | c0_1(X86)
      | ~ c3_1(X88)
      | ~ c1_1(X88)
      | ~ c1_1(X87)
      | ~ c2_1(X86)
      | ~ c2_1(X87)
      | c0_1(X87) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f516,plain,
    ( ~ spl0_5
    | spl0_59
    | spl0_48
    | spl0_60 ),
    inference(avatar_split_clause,[],[f246,f514,f459,f510,f271]) ).

fof(f246,plain,
    ! [X26,X27] :
      ( ~ c2_1(X27)
      | ~ c0_1(X26)
      | c3_1(X26)
      | hskp19
      | ~ c0_1(X27)
      | c1_1(X26)
      | ~ ndr1_0
      | c1_1(X27) ),
    inference(duplicate_literal_removal,[],[f154]) ).

fof(f154,plain,
    ! [X26,X27] :
      ( ~ ndr1_0
      | c1_1(X26)
      | ~ ndr1_0
      | ~ c2_1(X27)
      | c1_1(X27)
      | ~ c0_1(X27)
      | ~ c0_1(X26)
      | c3_1(X26)
      | hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f508,plain,
    ( spl0_58
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f26,f427,f505]) ).

fof(f26,plain,
    ( ~ hskp14
    | c3_1(a2193) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f503,plain,
    ( ~ spl0_7
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f21,f500,f279]) ).

fof(f21,plain,
    ( ~ c0_1(a2186)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f489,plain,
    ( spl0_54
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f93,f294,f486]) ).

fof(f93,plain,
    ( ~ hskp11
    | c2_1(a2187) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f483,plain,
    ( ~ spl0_52
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f196,f480,f476]) ).

fof(f196,plain,
    ( ~ c3_1(a2175)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f474,plain,
    ( ~ spl0_51
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f152,f355,f471]) ).

fof(f152,plain,
    ( ~ hskp15
    | ~ c2_1(a2194) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f469,plain,
    ( ~ spl0_42
    | spl0_50 ),
    inference(avatar_split_clause,[],[f105,f466,f433]) ).

fof(f105,plain,
    ( c0_1(a2180)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f464,plain,
    ( ~ spl0_5
    | spl0_48
    | spl0_30
    | spl0_49 ),
    inference(avatar_split_clause,[],[f247,f462,f380,f459,f271]) ).

fof(f247,plain,
    ! [X76,X77] :
      ( ~ c1_1(X76)
      | c0_1(X76)
      | hskp18
      | ~ c2_1(X76)
      | ~ c0_1(X77)
      | c3_1(X77)
      | ~ ndr1_0
      | c1_1(X77) ),
    inference(duplicate_literal_removal,[],[f83]) ).

fof(f83,plain,
    ! [X76,X77] :
      ( ~ c0_1(X77)
      | hskp18
      | ~ c1_1(X76)
      | ~ ndr1_0
      | ~ c2_1(X76)
      | c3_1(X77)
      | c1_1(X77)
      | c0_1(X76)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f457,plain,
    ( ~ spl0_3
    | spl0_47 ),
    inference(avatar_split_clause,[],[f160,f454,f263]) ).

fof(f160,plain,
    ( c0_1(a2178)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f452,plain,
    ( spl0_45
    | ~ spl0_5
    | spl0_46
    | spl0_1 ),
    inference(avatar_split_clause,[],[f248,f254,f450,f271,f447]) ).

fof(f248,plain,
    ! [X24,X25] :
      ( hskp2
      | c3_1(X25)
      | ~ ndr1_0
      | ~ c2_1(X24)
      | c0_1(X25)
      | c1_1(X25)
      | ~ c0_1(X24)
      | ~ c3_1(X24) ),
    inference(duplicate_literal_removal,[],[f159]) ).

fof(f159,plain,
    ! [X24,X25] :
      ( hskp2
      | c0_1(X25)
      | c3_1(X25)
      | ~ c3_1(X24)
      | ~ ndr1_0
      | ~ c2_1(X24)
      | ~ c0_1(X24)
      | ~ ndr1_0
      | c1_1(X25) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f444,plain,
    ( ~ spl0_5
    | spl0_7
    | spl0_44
    | spl0_11 ),
    inference(avatar_split_clause,[],[f103,f294,f442,f279,f271]) ).

fof(f103,plain,
    ! [X66] :
      ( hskp11
      | ~ c2_1(X66)
      | c3_1(X66)
      | hskp10
      | ~ ndr1_0
      | ~ c0_1(X66) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f431,plain,
    ( spl0_1
    | spl0_15
    | spl0_31 ),
    inference(avatar_split_clause,[],[f49,f385,f311,f254]) ).

fof(f49,plain,
    ( hskp9
    | hskp24
    | hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f409,plain,
    ( ~ spl0_35
    | spl0_36 ),
    inference(avatar_split_clause,[],[f182,f406,f402]) ).

fof(f182,plain,
    ( c1_1(a2181)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f400,plain,
    ( spl0_33
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f73,f397,f393]) ).

fof(f73,plain,
    ( ~ hskp7
    | c2_1(a2182) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f373,plain,
    ( spl0_28
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f22,f279,f370]) ).

fof(f22,plain,
    ( ~ hskp10
    | c3_1(a2186) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f363,plain,
    ( spl0_26
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f161,f263,f360]) ).

fof(f161,plain,
    ( ~ hskp27
    | c3_1(a2178) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f358,plain,
    ( spl0_24
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f150,f355,f351]) ).

fof(f150,plain,
    ( ~ hskp15
    | c3_1(a2194) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f349,plain,
    ( ~ spl0_5
    | spl0_1
    | spl0_23
    | spl0_6 ),
    inference(avatar_split_clause,[],[f250,f275,f347,f254,f271]) ).

fof(f250,plain,
    ! [X42,X43] :
      ( ~ c2_1(X42)
      | c0_1(X43)
      | ~ c2_1(X43)
      | hskp2
      | ~ c3_1(X43)
      | ~ c1_1(X42)
      | ~ ndr1_0
      | ~ c3_1(X42) ),
    inference(duplicate_literal_removal,[],[f126]) ).

fof(f126,plain,
    ! [X42,X43] :
      ( ~ c2_1(X43)
      | ~ c3_1(X43)
      | hskp2
      | ~ c1_1(X42)
      | ~ c2_1(X42)
      | c0_1(X43)
      | ~ c3_1(X42)
      | ~ ndr1_0
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f345,plain,
    ( ~ spl0_21
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f198,f342,f338]) ).

fof(f198,plain,
    ( ~ c3_1(a2219)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f318,plain,
    ( spl0_14
    | spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f17,f315,f311,f307]) ).

fof(f17,plain,
    ( hskp26
    | hskp24
    | hskp17 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f305,plain,
    ( ~ spl0_5
    | spl0_12
    | spl0_13
    | spl0_8 ),
    inference(avatar_split_clause,[],[f251,f283,f303,f299,f271]) ).

fof(f251,plain,
    ! [X94,X95] :
      ( ~ c3_1(X94)
      | c3_1(X95)
      | c2_1(X94)
      | hskp13
      | c0_1(X94)
      | c2_1(X95)
      | ~ c0_1(X95)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f60]) ).

fof(f60,plain,
    ! [X94,X95] :
      ( ~ ndr1_0
      | c2_1(X94)
      | ~ ndr1_0
      | ~ c3_1(X94)
      | c3_1(X95)
      | c0_1(X94)
      | c2_1(X95)
      | hskp13
      | ~ c0_1(X95) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f297,plain,
    ( ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f91,f294,f290]) ).

fof(f91,plain,
    ( ~ hskp11
    | ~ c1_1(a2187) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f288,plain,
    ( ~ spl0_5
    | spl0_7
    | spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f252,f286,f283,f279,f271]) ).

fof(f252,plain,
    ! [X58,X57] :
      ( c3_1(X57)
      | c2_1(X58)
      | ~ c3_1(X58)
      | c0_1(X58)
      | c1_1(X57)
      | hskp10
      | ~ ndr1_0
      | ~ c2_1(X57) ),
    inference(duplicate_literal_removal,[],[f115]) ).

fof(f115,plain,
    ! [X58,X57] :
      ( hskp10
      | ~ c3_1(X58)
      | ~ ndr1_0
      | c3_1(X57)
      | c0_1(X58)
      | ~ ndr1_0
      | ~ c2_1(X57)
      | c1_1(X57)
      | c2_1(X58) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f261,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f76,f258,f254]) ).

fof(f76,plain,
    ( ~ c3_1(a2176)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN486+1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 21:24:21 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.56  % (12398)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.57  % (12414)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.57  % (12397)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.58  % (12406)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.58  % (12406)Instruction limit reached!
% 0.20/0.58  % (12406)------------------------------
% 0.20/0.58  % (12406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (12406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (12406)Termination reason: Unknown
% 0.20/0.59  % (12406)Termination phase: Saturation
% 0.20/0.59  
% 0.20/0.59  % (12406)Memory used [KB]: 6396
% 0.20/0.59  % (12406)Time elapsed: 0.006 s
% 0.20/0.59  % (12406)Instructions burned: 7 (million)
% 0.20/0.59  % (12406)------------------------------
% 0.20/0.59  % (12406)------------------------------
% 0.20/0.61  % (12413)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.61  % (12405)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.61  % (12405)Instruction limit reached!
% 0.20/0.61  % (12405)------------------------------
% 0.20/0.61  % (12405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61  % (12405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61  % (12405)Termination reason: Unknown
% 0.20/0.61  % (12405)Termination phase: shuffling
% 0.20/0.61  
% 0.20/0.61  % (12405)Memory used [KB]: 1663
% 0.20/0.61  % (12405)Time elapsed: 0.004 s
% 0.20/0.61  % (12405)Instructions burned: 3 (million)
% 0.20/0.61  % (12405)------------------------------
% 0.20/0.61  % (12405)------------------------------
% 1.80/0.62  % (12391)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.80/0.62  % (12394)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.80/0.62  % (12396)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.80/0.63  % (12410)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.80/0.63  % (12412)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.80/0.63  % (12411)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.80/0.63  % (12395)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.80/0.63  % (12417)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.10/0.63  % (12402)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 2.10/0.63  % (12404)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.10/0.64  % (12408)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 2.10/0.64  % (12403)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 2.10/0.64  % (12401)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 2.10/0.64  % (12393)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 2.10/0.64  % (12400)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 2.10/0.64  % (12393)Instruction limit reached!
% 2.10/0.64  % (12393)------------------------------
% 2.10/0.64  % (12393)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.64  % (12393)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.64  % (12393)Termination reason: Unknown
% 2.10/0.64  % (12393)Termination phase: shuffling
% 2.10/0.64  
% 2.10/0.64  % (12393)Memory used [KB]: 1791
% 2.10/0.64  % (12393)Time elapsed: 0.005 s
% 2.10/0.64  % (12393)Instructions burned: 3 (million)
% 2.10/0.64  % (12393)------------------------------
% 2.10/0.64  % (12393)------------------------------
% 2.10/0.64  % (12419)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 2.10/0.64  % (12398)Instruction limit reached!
% 2.10/0.64  % (12398)------------------------------
% 2.10/0.64  % (12398)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.64  % (12398)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.64  % (12398)Termination reason: Unknown
% 2.10/0.64  % (12398)Termination phase: Saturation
% 2.10/0.64  
% 2.10/0.64  % (12398)Memory used [KB]: 7547
% 2.10/0.64  % (12398)Time elapsed: 0.201 s
% 2.10/0.64  % (12398)Instructions burned: 39 (million)
% 2.10/0.64  % (12398)------------------------------
% 2.10/0.64  % (12398)------------------------------
% 2.10/0.65  % (12416)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 2.10/0.65  % (12407)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.10/0.65  % (12409)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.10/0.65  % (12420)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 2.10/0.65  % (12418)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 2.10/0.65  % (12399)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 2.10/0.65  % (12409)Instruction limit reached!
% 2.10/0.65  % (12409)------------------------------
% 2.10/0.65  % (12409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.65  % (12409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.65  % (12409)Termination reason: Unknown
% 2.10/0.65  % (12409)Termination phase: Preprocessing 1
% 2.10/0.65  
% 2.10/0.65  % (12409)Memory used [KB]: 1663
% 2.10/0.65  % (12409)Time elapsed: 0.003 s
% 2.10/0.65  % (12409)Instructions burned: 3 (million)
% 2.10/0.65  % (12409)------------------------------
% 2.10/0.65  % (12409)------------------------------
% 2.22/0.65  % (12392)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 2.22/0.66  % (12410)Instruction limit reached!
% 2.22/0.66  % (12410)------------------------------
% 2.22/0.66  % (12410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.66  % (12410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.66  % (12410)Termination reason: Unknown
% 2.22/0.66  % (12410)Termination phase: Saturation
% 2.22/0.66  
% 2.22/0.66  % (12410)Memory used [KB]: 6908
% 2.22/0.66  % (12410)Time elapsed: 0.227 s
% 2.22/0.66  % (12410)Instructions burned: 12 (million)
% 2.22/0.66  % (12410)------------------------------
% 2.22/0.66  % (12410)------------------------------
% 2.22/0.66  % (12415)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.22/0.66  % (12401)Instruction limit reached!
% 2.22/0.66  % (12401)------------------------------
% 2.22/0.66  % (12401)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.66  % (12402)Instruction limit reached!
% 2.22/0.66  % (12402)------------------------------
% 2.22/0.66  % (12402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.66  % (12401)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.66  % (12401)Termination reason: Unknown
% 2.22/0.66  % (12402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.66  % (12401)Termination phase: Saturation
% 2.22/0.66  
% 2.22/0.66  % (12402)Termination reason: Unknown
% 2.22/0.66  % (12402)Termination phase: Saturation
% 2.22/0.66  
% 2.22/0.66  % (12401)Memory used [KB]: 6908
% 2.22/0.66  % (12401)Time elapsed: 0.228 s
% 2.22/0.66  % (12402)Memory used [KB]: 6524
% 2.22/0.66  % (12401)Instructions burned: 12 (million)
% 2.22/0.66  % (12402)Time elapsed: 0.008 s
% 2.22/0.66  % (12401)------------------------------
% 2.22/0.66  % (12401)------------------------------
% 2.22/0.66  % (12402)Instructions burned: 8 (million)
% 2.22/0.66  % (12402)------------------------------
% 2.22/0.66  % (12402)------------------------------
% 2.22/0.66  % (12397)Instruction limit reached!
% 2.22/0.66  % (12397)------------------------------
% 2.22/0.66  % (12397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.66  % (12397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.66  % (12397)Termination reason: Unknown
% 2.22/0.66  % (12397)Termination phase: Saturation
% 2.22/0.66  
% 2.22/0.66  % (12397)Memory used [KB]: 7291
% 2.22/0.66  % (12397)Time elapsed: 0.206 s
% 2.22/0.66  % (12397)Instructions burned: 39 (million)
% 2.22/0.66  % (12397)------------------------------
% 2.22/0.66  % (12397)------------------------------
% 2.22/0.66  % (12408)Instruction limit reached!
% 2.22/0.66  % (12408)------------------------------
% 2.22/0.66  % (12408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.66  % (12408)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.66  % (12408)Termination reason: Unknown
% 2.22/0.66  % (12408)Termination phase: shuffling
% 2.22/0.66  
% 2.22/0.66  % (12408)Memory used [KB]: 1663
% 2.22/0.66  % (12408)Time elapsed: 0.004 s
% 2.22/0.66  % (12408)Instructions burned: 3 (million)
% 2.22/0.66  % (12408)------------------------------
% 2.22/0.66  % (12408)------------------------------
% 2.22/0.66  % (12413)First to succeed.
% 2.22/0.66  % (12414)Instruction limit reached!
% 2.22/0.66  % (12414)------------------------------
% 2.22/0.66  % (12414)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.66  % (12414)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.66  % (12414)Termination reason: Unknown
% 2.22/0.66  % (12414)Termination phase: Saturation
% 2.22/0.66  
% 2.22/0.66  % (12414)Memory used [KB]: 2174
% 2.22/0.66  % (12414)Time elapsed: 0.216 s
% 2.22/0.66  % (12414)Instructions burned: 45 (million)
% 2.22/0.66  % (12414)------------------------------
% 2.22/0.66  % (12414)------------------------------
% 2.22/0.67  % (12396)Instruction limit reached!
% 2.22/0.67  % (12396)------------------------------
% 2.22/0.67  % (12396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.67  % (12396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.67  % (12396)Termination reason: Unknown
% 2.22/0.67  % (12396)Termination phase: Saturation
% 2.22/0.67  
% 2.22/0.67  % (12396)Memory used [KB]: 2046
% 2.22/0.67  % (12396)Time elapsed: 0.237 s
% 2.22/0.67  % (12396)Instructions burned: 15 (million)
% 2.22/0.67  % (12396)------------------------------
% 2.22/0.67  % (12396)------------------------------
% 2.22/0.67  % (12419)Instruction limit reached!
% 2.22/0.67  % (12419)------------------------------
% 2.22/0.67  % (12419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.67  % (12419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.67  % (12419)Termination reason: Unknown
% 2.22/0.67  % (12419)Termination phase: Saturation
% 2.22/0.67  
% 2.22/0.67  % (12419)Memory used [KB]: 6524
% 2.22/0.67  % (12419)Time elapsed: 0.008 s
% 2.22/0.67  % (12419)Instructions burned: 8 (million)
% 2.22/0.67  % (12419)------------------------------
% 2.22/0.67  % (12419)------------------------------
% 2.22/0.67  % (12395)Instruction limit reached!
% 2.22/0.67  % (12395)------------------------------
% 2.22/0.67  % (12395)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.67  % (12395)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.67  % (12395)Termination reason: Unknown
% 2.22/0.67  % (12395)Termination phase: Saturation
% 2.22/0.67  
% 2.22/0.67  % (12395)Memory used [KB]: 6908
% 2.22/0.67  % (12395)Time elapsed: 0.214 s
% 2.22/0.67  % (12395)Instructions burned: 13 (million)
% 2.22/0.67  % (12395)------------------------------
% 2.22/0.67  % (12395)------------------------------
% 2.22/0.67  % (12403)Instruction limit reached!
% 2.22/0.67  % (12403)------------------------------
% 2.22/0.67  % (12403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.67  % (12403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.67  % (12403)Termination reason: Unknown
% 2.22/0.67  % (12403)Termination phase: Saturation
% 2.22/0.67  
% 2.22/0.67  % (12403)Memory used [KB]: 2046
% 2.22/0.67  % (12403)Time elapsed: 0.013 s
% 2.22/0.67  % (12403)Instructions burned: 16 (million)
% 2.22/0.67  % (12403)------------------------------
% 2.22/0.67  % (12403)------------------------------
% 2.22/0.68  % (12392)Instruction limit reached!
% 2.22/0.68  % (12392)------------------------------
% 2.22/0.68  % (12392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.68  % (12392)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.68  % (12392)Termination reason: Unknown
% 2.22/0.68  % (12392)Termination phase: Saturation
% 2.22/0.68  
% 2.22/0.68  % (12392)Memory used [KB]: 6908
% 2.22/0.68  % (12392)Time elapsed: 0.015 s
% 2.22/0.68  % (12392)Instructions burned: 13 (million)
% 2.22/0.68  % (12392)------------------------------
% 2.22/0.68  % (12392)------------------------------
% 2.22/0.68  % (12420)Instruction limit reached!
% 2.22/0.68  % (12420)------------------------------
% 2.22/0.68  % (12420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.69  % (12418)Instruction limit reached!
% 2.22/0.69  % (12418)------------------------------
% 2.22/0.69  % (12418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.69  % (12418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.69  % (12418)Termination reason: Unknown
% 2.22/0.69  % (12418)Termination phase: Saturation
% 2.22/0.69  
% 2.22/0.69  % (12418)Memory used [KB]: 7036
% 2.22/0.69  % (12418)Time elapsed: 0.248 s
% 2.22/0.69  % (12418)Instructions burned: 25 (million)
% 2.22/0.69  % (12418)------------------------------
% 2.22/0.69  % (12418)------------------------------
% 2.22/0.69  % (12420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.69  % (12420)Termination reason: Unknown
% 2.22/0.69  % (12420)Termination phase: Saturation
% 2.22/0.69  
% 2.22/0.69  % (12420)Memory used [KB]: 6908
% 2.22/0.69  % (12420)Time elapsed: 0.244 s
% 2.22/0.69  % (12420)Instructions burned: 24 (million)
% 2.22/0.69  % (12420)------------------------------
% 2.22/0.69  % (12420)------------------------------
% 2.22/0.69  % (12413)Refutation found. Thanks to Tanya!
% 2.22/0.69  % SZS status Theorem for theBenchmark
% 2.22/0.69  % SZS output start Proof for theBenchmark
% See solution above
% 2.22/0.69  % (12413)------------------------------
% 2.22/0.69  % (12413)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.69  % (12413)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.69  % (12413)Termination reason: Refutation
% 2.22/0.69  
% 2.22/0.69  % (12413)Memory used [KB]: 8571
% 2.22/0.69  % (12413)Time elapsed: 0.235 s
% 2.22/0.69  % (12413)Instructions burned: 50 (million)
% 2.22/0.69  % (12413)------------------------------
% 2.22/0.69  % (12413)------------------------------
% 2.22/0.69  % (12390)Success in time 0.327 s
%------------------------------------------------------------------------------