TSTP Solution File: SYN465+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN465+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:38:13 EDT 2022

% Result   : Theorem 2.02s 0.67s
% Output   : Refutation 2.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  148
% Syntax   : Number of formulae    :  640 (   1 unt;   0 def)
%            Number of atoms       : 6794 (   0 equ)
%            Maximal formula atoms :  668 (  10 avg)
%            Number of connectives : 9269 (3115   ~;4234   |;1365   &)
%                                         ( 147 <=>; 408  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  109 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  185 ( 184 usr; 181 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  879 ( 879   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2271,plain,
    $false,
    inference(avatar_sat_refutation,[],[f250,f255,f286,f298,f307,f327,f337,f346,f355,f371,f387,f394,f399,f404,f413,f418,f427,f432,f440,f445,f458,f463,f468,f473,f483,f503,f512,f517,f527,f532,f539,f544,f550,f559,f569,f575,f580,f585,f586,f591,f592,f598,f602,f607,f626,f635,f640,f655,f673,f678,f689,f701,f706,f707,f711,f718,f719,f720,f722,f729,f730,f736,f741,f746,f751,f757,f762,f767,f777,f778,f783,f789,f794,f802,f808,f813,f819,f820,f821,f823,f824,f830,f835,f840,f841,f846,f855,f856,f861,f862,f880,f885,f890,f897,f902,f907,f908,f909,f914,f920,f922,f923,f933,f938,f942,f947,f952,f957,f964,f974,f979,f980,f985,f990,f992,f997,f998,f1013,f1018,f1023,f1028,f1049,f1067,f1068,f1072,f1088,f1092,f1093,f1094,f1096,f1123,f1132,f1139,f1155,f1194,f1197,f1204,f1235,f1247,f1261,f1269,f1297,f1307,f1315,f1343,f1354,f1355,f1361,f1362,f1391,f1402,f1412,f1418,f1419,f1429,f1439,f1468,f1469,f1527,f1529,f1530,f1532,f1563,f1572,f1574,f1601,f1602,f1604,f1606,f1609,f1610,f1735,f1756,f1758,f1796,f1798,f1802,f1803,f1824,f1845,f1846,f1871,f1920,f1930,f1956,f1957,f2002,f2003,f2099,f2124,f2233,f2247,f2248,f2267,f2268,f2270]) ).

fof(f2270,plain,
    ( spl0_173
    | spl0_121
    | ~ spl0_53
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f2257,f595,f456,f810,f1244]) ).

fof(f1244,plain,
    ( spl0_173
  <=> c3_1(a13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f810,plain,
    ( spl0_121
  <=> c0_1(a13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f456,plain,
    ( spl0_53
  <=> ! [X43] :
        ( c3_1(X43)
        | c0_1(X43)
        | ~ c2_1(X43) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f595,plain,
    ( spl0_81
  <=> c2_1(a13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f2257,plain,
    ( c0_1(a13)
    | c3_1(a13)
    | ~ spl0_53
    | ~ spl0_81 ),
    inference(resolution,[],[f457,f597]) ).

fof(f597,plain,
    ( c2_1(a13)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f457,plain,
    ( ! [X43] :
        ( ~ c2_1(X43)
        | c3_1(X43)
        | c0_1(X43) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f2268,plain,
    ( spl0_28
    | spl0_133
    | ~ spl0_53
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f2264,f1061,f456,f887,f348]) ).

fof(f348,plain,
    ( spl0_28
  <=> c3_1(a57) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f887,plain,
    ( spl0_133
  <=> c0_1(a57) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1061,plain,
    ( spl0_163
  <=> c2_1(a57) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f2264,plain,
    ( c0_1(a57)
    | c3_1(a57)
    | ~ spl0_53
    | ~ spl0_163 ),
    inference(resolution,[],[f457,f1063]) ).

fof(f1063,plain,
    ( c2_1(a57)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1061]) ).

fof(f2267,plain,
    ( spl0_180
    | spl0_56
    | ~ spl0_53
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f2256,f541,f456,f470,f1387]) ).

fof(f1387,plain,
    ( spl0_180
  <=> c0_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f470,plain,
    ( spl0_56
  <=> c3_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f541,plain,
    ( spl0_71
  <=> c2_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f2256,plain,
    ( c3_1(a10)
    | c0_1(a10)
    | ~ spl0_53
    | ~ spl0_71 ),
    inference(resolution,[],[f457,f543]) ).

fof(f543,plain,
    ( c2_1(a10)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f2248,plain,
    ( spl0_158
    | spl0_180
    | ~ spl0_71
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2221,f940,f541,f1387,f1025]) ).

fof(f1025,plain,
    ( spl0_158
  <=> c1_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f940,plain,
    ( spl0_142
  <=> ! [X4] :
        ( c1_1(X4)
        | c0_1(X4)
        | ~ c2_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2221,plain,
    ( c0_1(a10)
    | c1_1(a10)
    | ~ spl0_71
    | ~ spl0_142 ),
    inference(resolution,[],[f941,f543]) ).

fof(f941,plain,
    ( ! [X4] :
        ( ~ c2_1(X4)
        | c0_1(X4)
        | c1_1(X4) )
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f2247,plain,
    ( spl0_158
    | spl0_56
    | ~ spl0_7
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f2246,f1387,f261,f470,f1025]) ).

fof(f261,plain,
    ( spl0_7
  <=> ! [X8] :
        ( c1_1(X8)
        | c3_1(X8)
        | ~ c0_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f2246,plain,
    ( c3_1(a10)
    | c1_1(a10)
    | ~ spl0_7
    | ~ spl0_180 ),
    inference(resolution,[],[f1389,f262]) ).

fof(f262,plain,
    ( ! [X8] :
        ( ~ c0_1(X8)
        | c3_1(X8)
        | c1_1(X8) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f1389,plain,
    ( c0_1(a10)
    | ~ spl0_180 ),
    inference(avatar_component_clause,[],[f1387]) ).

fof(f2233,plain,
    ( spl0_148
    | spl0_163
    | spl0_28
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2181,f534,f348,f1061,f971]) ).

fof(f971,plain,
    ( spl0_148
  <=> c1_1(a57) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f534,plain,
    ( spl0_69
  <=> ! [X21] :
        ( c2_1(X21)
        | c3_1(X21)
        | c1_1(X21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f2181,plain,
    ( c2_1(a57)
    | c1_1(a57)
    | spl0_28
    | ~ spl0_69 ),
    inference(resolution,[],[f535,f350]) ).

fof(f350,plain,
    ( ~ c3_1(a57)
    | spl0_28 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f535,plain,
    ( ! [X21] :
        ( c3_1(X21)
        | c1_1(X21)
        | c2_1(X21) )
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f2124,plain,
    ( spl0_54
    | ~ spl0_152
    | ~ spl0_38
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f2110,f1152,f389,f994,f460]) ).

fof(f460,plain,
    ( spl0_54
  <=> c2_1(a21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f994,plain,
    ( spl0_152
  <=> c0_1(a21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f389,plain,
    ( spl0_38
  <=> ! [X89] :
        ( c2_1(X89)
        | ~ c0_1(X89)
        | ~ c1_1(X89) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1152,plain,
    ( spl0_168
  <=> c1_1(a21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f2110,plain,
    ( ~ c0_1(a21)
    | c2_1(a21)
    | ~ spl0_38
    | ~ spl0_168 ),
    inference(resolution,[],[f390,f1154]) ).

fof(f1154,plain,
    ( c1_1(a21)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1152]) ).

fof(f390,plain,
    ( ! [X89] :
        ( ~ c1_1(X89)
        | ~ c0_1(X89)
        | c2_1(X89) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f2099,plain,
    ( spl0_161
    | spl0_72
    | ~ spl0_39
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f2094,f577,f392,f547,f1046]) ).

fof(f1046,plain,
    ( spl0_161
  <=> c0_1(a65) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f547,plain,
    ( spl0_72
  <=> c1_1(a65) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f392,plain,
    ( spl0_39
  <=> ! [X90] :
        ( c1_1(X90)
        | ~ c3_1(X90)
        | c0_1(X90) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f577,plain,
    ( spl0_78
  <=> c3_1(a65) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f2094,plain,
    ( c1_1(a65)
    | c0_1(a65)
    | ~ spl0_39
    | ~ spl0_78 ),
    inference(resolution,[],[f393,f579]) ).

fof(f579,plain,
    ( c3_1(a65)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f393,plain,
    ( ! [X90] :
        ( ~ c3_1(X90)
        | c0_1(X90)
        | c1_1(X90) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f2003,plain,
    ( spl0_141
    | spl0_37
    | ~ spl0_44
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1980,f940,f415,f384,f935]) ).

fof(f935,plain,
    ( spl0_141
  <=> c1_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f384,plain,
    ( spl0_37
  <=> c0_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f415,plain,
    ( spl0_44
  <=> c2_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1980,plain,
    ( c0_1(a5)
    | c1_1(a5)
    | ~ spl0_44
    | ~ spl0_142 ),
    inference(resolution,[],[f941,f417]) ).

fof(f417,plain,
    ( c2_1(a5)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f2002,plain,
    ( spl0_90
    | spl0_165
    | ~ spl0_89
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1986,f940,f632,f1085,f637]) ).

fof(f637,plain,
    ( spl0_90
  <=> c0_1(a28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1085,plain,
    ( spl0_165
  <=> c1_1(a28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f632,plain,
    ( spl0_89
  <=> c2_1(a28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1986,plain,
    ( c1_1(a28)
    | c0_1(a28)
    | ~ spl0_89
    | ~ spl0_142 ),
    inference(resolution,[],[f941,f634]) ).

fof(f634,plain,
    ( c2_1(a28)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f1957,plain,
    ( ~ spl0_144
    | spl0_187
    | ~ spl0_105
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1943,f850,f715,f1569,f949]) ).

fof(f949,plain,
    ( spl0_144
  <=> c1_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1569,plain,
    ( spl0_187
  <=> c0_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f715,plain,
    ( spl0_105
  <=> c2_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f850,plain,
    ( spl0_127
  <=> ! [X20] :
        ( ~ c1_1(X20)
        | ~ c2_1(X20)
        | c0_1(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1943,plain,
    ( c0_1(a33)
    | ~ c1_1(a33)
    | ~ spl0_105
    | ~ spl0_127 ),
    inference(resolution,[],[f851,f717]) ).

fof(f717,plain,
    ( c2_1(a33)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f851,plain,
    ( ! [X20] :
        ( ~ c2_1(X20)
        | ~ c1_1(X20)
        | c0_1(X20) )
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f1956,plain,
    ( spl0_121
    | ~ spl0_40
    | ~ spl0_81
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1937,f850,f595,f396,f810]) ).

fof(f396,plain,
    ( spl0_40
  <=> c1_1(a13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1937,plain,
    ( ~ c1_1(a13)
    | c0_1(a13)
    | ~ spl0_81
    | ~ spl0_127 ),
    inference(resolution,[],[f851,f597]) ).

fof(f1930,plain,
    ( spl0_56
    | spl0_158
    | ~ spl0_71
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1901,f709,f541,f1025,f470]) ).

fof(f709,plain,
    ( spl0_104
  <=> ! [X64] :
        ( c1_1(X64)
        | c3_1(X64)
        | ~ c2_1(X64) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1901,plain,
    ( c1_1(a10)
    | c3_1(a10)
    | ~ spl0_71
    | ~ spl0_104 ),
    inference(resolution,[],[f710,f543]) ).

fof(f710,plain,
    ( ! [X64] :
        ( ~ c2_1(X64)
        | c3_1(X64)
        | c1_1(X64) )
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f1920,plain,
    ( spl0_33
    | ~ spl0_20
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1919,f709,f313,f369]) ).

fof(f369,plain,
    ( spl0_33
  <=> ! [X24] :
        ( c3_1(X24)
        | c1_1(X24)
        | c0_1(X24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f313,plain,
    ( spl0_20
  <=> ! [X16] :
        ( c2_1(X16)
        | c0_1(X16)
        | c1_1(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f1919,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_20
    | ~ spl0_104 ),
    inference(duplicate_literal_removal,[],[f1896]) ).

fof(f1896,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c1_1(X0)
        | c1_1(X0) )
    | ~ spl0_20
    | ~ spl0_104 ),
    inference(resolution,[],[f710,f314]) ).

fof(f314,plain,
    ( ! [X16] :
        ( c2_1(X16)
        | c1_1(X16)
        | c0_1(X16) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f1871,plain,
    ( spl0_68
    | spl0_150
    | ~ spl0_4
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1864,f1056,f248,f982,f529]) ).

fof(f529,plain,
    ( spl0_68
  <=> c1_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f982,plain,
    ( spl0_150
  <=> c2_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f248,plain,
    ( spl0_4
  <=> ! [X72] :
        ( ~ c0_1(X72)
        | c1_1(X72)
        | c2_1(X72) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1056,plain,
    ( spl0_162
  <=> c0_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f1864,plain,
    ( c2_1(a15)
    | c1_1(a15)
    | ~ spl0_4
    | ~ spl0_162 ),
    inference(resolution,[],[f249,f1058]) ).

fof(f1058,plain,
    ( c0_1(a15)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1056]) ).

fof(f249,plain,
    ( ! [X72] :
        ( ~ c0_1(X72)
        | c2_1(X72)
        | c1_1(X72) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f1846,plain,
    ( spl0_117
    | ~ spl0_167
    | ~ spl0_97
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1830,f791,f671,f1129,f786]) ).

fof(f786,plain,
    ( spl0_117
  <=> c2_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1129,plain,
    ( spl0_167
  <=> c1_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f671,plain,
    ( spl0_97
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ c3_1(X2)
        | c2_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f791,plain,
    ( spl0_118
  <=> c3_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1830,plain,
    ( ~ c1_1(a6)
    | c2_1(a6)
    | ~ spl0_97
    | ~ spl0_118 ),
    inference(resolution,[],[f672,f793]) ).

fof(f793,plain,
    ( c3_1(a6)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f672,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | ~ c1_1(X2)
        | c2_1(X2) )
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f1845,plain,
    ( ~ spl0_125
    | spl0_132
    | ~ spl0_65
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1835,f671,f514,f882,f837]) ).

fof(f837,plain,
    ( spl0_125
  <=> c1_1(a24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f882,plain,
    ( spl0_132
  <=> c2_1(a24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f514,plain,
    ( spl0_65
  <=> c3_1(a24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1835,plain,
    ( c2_1(a24)
    | ~ c1_1(a24)
    | ~ spl0_65
    | ~ spl0_97 ),
    inference(resolution,[],[f672,f516]) ).

fof(f516,plain,
    ( c3_1(a24)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f1824,plain,
    ( spl0_184
    | ~ spl0_120
    | ~ spl0_96
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1814,f738,f668,f805,f1495]) ).

fof(f1495,plain,
    ( spl0_184
  <=> c0_1(a30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f805,plain,
    ( spl0_120
  <=> c2_1(a30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f668,plain,
    ( spl0_96
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f738,plain,
    ( spl0_108
  <=> c3_1(a30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1814,plain,
    ( ~ c2_1(a30)
    | c0_1(a30)
    | ~ spl0_96
    | ~ spl0_108 ),
    inference(resolution,[],[f669,f740]) ).

fof(f740,plain,
    ( c3_1(a30)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f669,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f1803,plain,
    ( spl0_171
    | spl0_140
    | ~ spl0_48
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1725,f524,f434,f930,f1201]) ).

fof(f1201,plain,
    ( spl0_171
  <=> c0_1(a29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f930,plain,
    ( spl0_140
  <=> c2_1(a29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f434,plain,
    ( spl0_48
  <=> ! [X35] :
        ( ~ c1_1(X35)
        | c2_1(X35)
        | c0_1(X35) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f524,plain,
    ( spl0_67
  <=> c1_1(a29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1725,plain,
    ( c2_1(a29)
    | c0_1(a29)
    | ~ spl0_48
    | ~ spl0_67 ),
    inference(resolution,[],[f435,f526]) ).

fof(f526,plain,
    ( c1_1(a29)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f435,plain,
    ( ! [X35] :
        ( ~ c1_1(X35)
        | c0_1(X35)
        | c2_1(X35) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f1802,plain,
    ( spl0_13
    | ~ spl0_171
    | ~ spl0_67
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1616,f537,f524,f1201,f283]) ).

fof(f283,plain,
    ( spl0_13
  <=> c3_1(a29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f537,plain,
    ( spl0_70
  <=> ! [X22] :
        ( ~ c1_1(X22)
        | c3_1(X22)
        | ~ c0_1(X22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1616,plain,
    ( ~ c0_1(a29)
    | c3_1(a29)
    | ~ spl0_67
    | ~ spl0_70 ),
    inference(resolution,[],[f526,f538]) ).

fof(f538,plain,
    ( ! [X22] :
        ( ~ c1_1(X22)
        | c3_1(X22)
        | ~ c0_1(X22) )
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f1798,plain,
    ( spl0_165
    | ~ spl0_89
    | ~ spl0_92
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1786,f799,f648,f632,f1085]) ).

fof(f648,plain,
    ( spl0_92
  <=> ! [X81] :
        ( c1_1(X81)
        | ~ c2_1(X81)
        | ~ c3_1(X81) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f799,plain,
    ( spl0_119
  <=> c3_1(a28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1786,plain,
    ( ~ c2_1(a28)
    | c1_1(a28)
    | ~ spl0_92
    | ~ spl0_119 ),
    inference(resolution,[],[f649,f801]) ).

fof(f801,plain,
    ( c3_1(a28)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f649,plain,
    ( ! [X81] :
        ( ~ c3_1(X81)
        | c1_1(X81)
        | ~ c2_1(X81) )
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f1796,plain,
    ( ~ spl0_120
    | spl0_137
    | ~ spl0_92
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1788,f738,f648,f911,f805]) ).

fof(f911,plain,
    ( spl0_137
  <=> c1_1(a30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1788,plain,
    ( c1_1(a30)
    | ~ c2_1(a30)
    | ~ spl0_92
    | ~ spl0_108 ),
    inference(resolution,[],[f649,f740]) ).

fof(f1758,plain,
    ( ~ spl0_157
    | ~ spl0_122
    | ~ spl0_64
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f1752,f1436,f510,f816,f1020]) ).

fof(f1020,plain,
    ( spl0_157
  <=> c2_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f816,plain,
    ( spl0_122
  <=> c1_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f510,plain,
    ( spl0_64
  <=> ! [X93] :
        ( ~ c2_1(X93)
        | ~ c3_1(X93)
        | ~ c1_1(X93) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1436,plain,
    ( spl0_183
  <=> c3_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f1752,plain,
    ( ~ c1_1(a2)
    | ~ c2_1(a2)
    | ~ spl0_64
    | ~ spl0_183 ),
    inference(resolution,[],[f511,f1438]) ).

fof(f1438,plain,
    ( c3_1(a2)
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f1436]) ).

fof(f511,plain,
    ( ! [X93] :
        ( ~ c3_1(X93)
        | ~ c1_1(X93)
        | ~ c2_1(X93) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f1756,plain,
    ( ~ spl0_128
    | ~ spl0_182
    | ~ spl0_64
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1754,f588,f510,f1426,f858]) ).

fof(f858,plain,
    ( spl0_128
  <=> c2_1(a20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1426,plain,
    ( spl0_182
  <=> c1_1(a20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f588,plain,
    ( spl0_80
  <=> c3_1(a20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1754,plain,
    ( ~ c1_1(a20)
    | ~ c2_1(a20)
    | ~ spl0_64
    | ~ spl0_80 ),
    inference(resolution,[],[f511,f590]) ).

fof(f590,plain,
    ( c3_1(a20)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f1735,plain,
    ( spl0_149
    | spl0_5
    | ~ spl0_48
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1729,f1312,f434,f252,f976]) ).

fof(f976,plain,
    ( spl0_149
  <=> c0_1(a40) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f252,plain,
    ( spl0_5
  <=> c2_1(a40) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1312,plain,
    ( spl0_176
  <=> c1_1(a40) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f1729,plain,
    ( c2_1(a40)
    | c0_1(a40)
    | ~ spl0_48
    | ~ spl0_176 ),
    inference(resolution,[],[f435,f1314]) ).

fof(f1314,plain,
    ( c1_1(a40)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f1312]) ).

fof(f1610,plain,
    ( spl0_166
    | spl0_138
    | ~ spl0_7
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1503,f652,f261,f917,f1120]) ).

fof(f1120,plain,
    ( spl0_166
  <=> c3_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f917,plain,
    ( spl0_138
  <=> c1_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f652,plain,
    ( spl0_93
  <=> c0_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1503,plain,
    ( c1_1(a1)
    | c3_1(a1)
    | ~ spl0_7
    | ~ spl0_93 ),
    inference(resolution,[],[f654,f262]) ).

fof(f654,plain,
    ( c0_1(a1)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f1609,plain,
    ( spl0_4
    | ~ spl0_8
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1600,f534,f264,f248]) ).

fof(f264,plain,
    ( spl0_8
  <=> ! [X7] :
        ( ~ c0_1(X7)
        | c1_1(X7)
        | ~ c3_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1600,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_8
    | ~ spl0_69 ),
    inference(duplicate_literal_removal,[],[f1581]) ).

fof(f1581,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_8
    | ~ spl0_69 ),
    inference(resolution,[],[f265,f535]) ).

fof(f265,plain,
    ( ! [X7] :
        ( ~ c3_1(X7)
        | c1_1(X7)
        | ~ c0_1(X7) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f1606,plain,
    ( ~ spl0_93
    | spl0_138
    | ~ spl0_8
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1582,f1120,f264,f917,f652]) ).

fof(f1582,plain,
    ( c1_1(a1)
    | ~ c0_1(a1)
    | ~ spl0_8
    | ~ spl0_166 ),
    inference(resolution,[],[f265,f1122]) ).

fof(f1122,plain,
    ( c3_1(a1)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1120]) ).

fof(f1604,plain,
    ( ~ spl0_124
    | spl0_182
    | ~ spl0_8
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1598,f588,f264,f1426,f832]) ).

fof(f832,plain,
    ( spl0_124
  <=> c0_1(a20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1598,plain,
    ( c1_1(a20)
    | ~ c0_1(a20)
    | ~ spl0_8
    | ~ spl0_80 ),
    inference(resolution,[],[f265,f590]) ).

fof(f1602,plain,
    ( spl0_18
    | ~ spl0_113
    | ~ spl0_8
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f1583,f1415,f264,f764,f304]) ).

fof(f304,plain,
    ( spl0_18
  <=> c1_1(a4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f764,plain,
    ( spl0_113
  <=> c0_1(a4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1415,plain,
    ( spl0_181
  <=> c3_1(a4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f1583,plain,
    ( ~ c0_1(a4)
    | c1_1(a4)
    | ~ spl0_8
    | ~ spl0_181 ),
    inference(resolution,[],[f265,f1417]) ).

fof(f1417,plain,
    ( c3_1(a4)
    | ~ spl0_181 ),
    inference(avatar_component_clause,[],[f1415]) ).

fof(f1601,plain,
    ( ~ spl0_184
    | spl0_137
    | ~ spl0_8
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1593,f738,f264,f911,f1495]) ).

fof(f1593,plain,
    ( c1_1(a30)
    | ~ c0_1(a30)
    | ~ spl0_8
    | ~ spl0_108 ),
    inference(resolution,[],[f265,f740]) ).

fof(f1574,plain,
    ( ~ spl0_112
    | ~ spl0_122
    | ~ spl0_2
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f1573,f1436,f241,f816,f759]) ).

fof(f759,plain,
    ( spl0_112
  <=> c0_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f241,plain,
    ( spl0_2
  <=> ! [X71] :
        ( ~ c1_1(X71)
        | ~ c3_1(X71)
        | ~ c0_1(X71) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1573,plain,
    ( ~ c1_1(a2)
    | ~ c0_1(a2)
    | ~ spl0_2
    | ~ spl0_183 ),
    inference(resolution,[],[f1438,f242]) ).

fof(f242,plain,
    ( ! [X71] :
        ( ~ c3_1(X71)
        | ~ c0_1(X71)
        | ~ c1_1(X71) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f1572,plain,
    ( ~ spl0_187
    | spl0_76
    | ~ spl0_70
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1567,f949,f537,f566,f1569]) ).

fof(f566,plain,
    ( spl0_76
  <=> c3_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1567,plain,
    ( c3_1(a33)
    | ~ c0_1(a33)
    | ~ spl0_70
    | ~ spl0_144 ),
    inference(resolution,[],[f951,f538]) ).

fof(f951,plain,
    ( c1_1(a33)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f949]) ).

fof(f1563,plain,
    ( ~ spl0_122
    | ~ spl0_112
    | ~ spl0_82
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1560,f1020,f600,f759,f816]) ).

fof(f600,plain,
    ( spl0_82
  <=> ! [X69] :
        ( ~ c0_1(X69)
        | ~ c1_1(X69)
        | ~ c2_1(X69) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1560,plain,
    ( ~ c0_1(a2)
    | ~ c1_1(a2)
    | ~ spl0_82
    | ~ spl0_157 ),
    inference(resolution,[],[f601,f1022]) ).

fof(f1022,plain,
    ( c2_1(a2)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1020]) ).

fof(f601,plain,
    ( ! [X69] :
        ( ~ c2_1(X69)
        | ~ c1_1(X69)
        | ~ c0_1(X69) )
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f1532,plain,
    ( ~ spl0_124
    | ~ spl0_128
    | ~ spl0_77
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1520,f588,f571,f858,f832]) ).

fof(f571,plain,
    ( spl0_77
  <=> ! [X79] :
        ( ~ c2_1(X79)
        | ~ c3_1(X79)
        | ~ c0_1(X79) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1520,plain,
    ( ~ c2_1(a20)
    | ~ c0_1(a20)
    | ~ spl0_77
    | ~ spl0_80 ),
    inference(resolution,[],[f572,f590]) ).

fof(f572,plain,
    ( ! [X79] :
        ( ~ c3_1(X79)
        | ~ c2_1(X79)
        | ~ c0_1(X79) )
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f1530,plain,
    ( ~ spl0_111
    | ~ spl0_174
    | ~ spl0_77
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1517,f944,f571,f1266,f754]) ).

fof(f754,plain,
    ( spl0_111
  <=> c0_1(a54) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1266,plain,
    ( spl0_174
  <=> c2_1(a54) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f944,plain,
    ( spl0_143
  <=> c3_1(a54) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1517,plain,
    ( ~ c2_1(a54)
    | ~ c0_1(a54)
    | ~ spl0_77
    | ~ spl0_143 ),
    inference(resolution,[],[f572,f946]) ).

fof(f946,plain,
    ( c3_1(a54)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f944]) ).

fof(f1529,plain,
    ( ~ spl0_184
    | ~ spl0_120
    | ~ spl0_77
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1515,f738,f571,f805,f1495]) ).

fof(f1515,plain,
    ( ~ c2_1(a30)
    | ~ c0_1(a30)
    | ~ spl0_77
    | ~ spl0_108 ),
    inference(resolution,[],[f572,f740]) ).

fof(f1527,plain,
    ( ~ spl0_169
    | ~ spl0_110
    | ~ spl0_47
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1521,f571,f429,f748,f1166]) ).

fof(f1166,plain,
    ( spl0_169
  <=> c2_1(a76) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f748,plain,
    ( spl0_110
  <=> c0_1(a76) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f429,plain,
    ( spl0_47
  <=> c3_1(a76) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f1521,plain,
    ( ~ c0_1(a76)
    | ~ c2_1(a76)
    | ~ spl0_47
    | ~ spl0_77 ),
    inference(resolution,[],[f572,f431]) ).

fof(f431,plain,
    ( c3_1(a76)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f1469,plain,
    ( ~ spl0_40
    | spl0_121
    | ~ spl0_16
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1452,f1244,f296,f810,f396]) ).

fof(f296,plain,
    ( spl0_16
  <=> ! [X26] :
        ( ~ c3_1(X26)
        | ~ c1_1(X26)
        | c0_1(X26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1452,plain,
    ( c0_1(a13)
    | ~ c1_1(a13)
    | ~ spl0_16
    | ~ spl0_173 ),
    inference(resolution,[],[f297,f1246]) ).

fof(f1246,plain,
    ( c3_1(a13)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1244]) ).

fof(f297,plain,
    ( ! [X26] :
        ( ~ c3_1(X26)
        | c0_1(X26)
        | ~ c1_1(X26) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f296]) ).

fof(f1468,plain,
    ( ~ spl0_125
    | spl0_178
    | ~ spl0_16
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1455,f514,f296,f1351,f837]) ).

fof(f1351,plain,
    ( spl0_178
  <=> c0_1(a24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f1455,plain,
    ( c0_1(a24)
    | ~ c1_1(a24)
    | ~ spl0_16
    | ~ spl0_65 ),
    inference(resolution,[],[f297,f516]) ).

fof(f1439,plain,
    ( ~ spl0_112
    | spl0_183
    | ~ spl0_70
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1433,f816,f537,f1436,f759]) ).

fof(f1433,plain,
    ( c3_1(a2)
    | ~ c0_1(a2)
    | ~ spl0_70
    | ~ spl0_122 ),
    inference(resolution,[],[f818,f538]) ).

fof(f818,plain,
    ( c1_1(a2)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f1429,plain,
    ( ~ spl0_182
    | ~ spl0_124
    | ~ spl0_2
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1424,f588,f241,f832,f1426]) ).

fof(f1424,plain,
    ( ~ c0_1(a20)
    | ~ c1_1(a20)
    | ~ spl0_2
    | ~ spl0_80 ),
    inference(resolution,[],[f590,f242]) ).

fof(f1419,plain,
    ( spl0_168
    | spl0_145
    | ~ spl0_7
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1407,f994,f261,f954,f1152]) ).

fof(f954,plain,
    ( spl0_145
  <=> c3_1(a21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1407,plain,
    ( c3_1(a21)
    | c1_1(a21)
    | ~ spl0_7
    | ~ spl0_152 ),
    inference(resolution,[],[f262,f996]) ).

fof(f996,plain,
    ( c0_1(a21)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f994]) ).

fof(f1418,plain,
    ( spl0_18
    | spl0_181
    | ~ spl0_7
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1403,f764,f261,f1415,f304]) ).

fof(f1403,plain,
    ( c3_1(a4)
    | c1_1(a4)
    | ~ spl0_7
    | ~ spl0_113 ),
    inference(resolution,[],[f262,f766]) ).

fof(f766,plain,
    ( c0_1(a4)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f1412,plain,
    ( spl0_146
    | spl0_74
    | ~ spl0_7
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1409,f743,f261,f556,f961]) ).

fof(f961,plain,
    ( spl0_146
  <=> c1_1(a42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f556,plain,
    ( spl0_74
  <=> c3_1(a42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f743,plain,
    ( spl0_109
  <=> c0_1(a42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1409,plain,
    ( c3_1(a42)
    | c1_1(a42)
    | ~ spl0_7
    | ~ spl0_109 ),
    inference(resolution,[],[f262,f745]) ).

fof(f745,plain,
    ( c0_1(a42)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f1402,plain,
    ( ~ spl0_136
    | spl0_87
    | ~ spl0_70
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1396,f843,f537,f623,f904]) ).

fof(f904,plain,
    ( spl0_136
  <=> c0_1(a12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f623,plain,
    ( spl0_87
  <=> c3_1(a12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f843,plain,
    ( spl0_126
  <=> c1_1(a12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1396,plain,
    ( c3_1(a12)
    | ~ c0_1(a12)
    | ~ spl0_70
    | ~ spl0_126 ),
    inference(resolution,[],[f538,f845]) ).

fof(f845,plain,
    ( c1_1(a12)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f1391,plain,
    ( spl0_133
    | spl0_148
    | spl0_28
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f1383,f369,f348,f971,f887]) ).

fof(f1383,plain,
    ( c1_1(a57)
    | c0_1(a57)
    | spl0_28
    | ~ spl0_33 ),
    inference(resolution,[],[f370,f350]) ).

fof(f370,plain,
    ( ! [X24] :
        ( c3_1(X24)
        | c1_1(X24)
        | c0_1(X24) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f1362,plain,
    ( spl0_132
    | spl0_178
    | ~ spl0_11
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1320,f514,f275,f1351,f882]) ).

fof(f275,plain,
    ( spl0_11
  <=> ! [X82] :
        ( ~ c3_1(X82)
        | c0_1(X82)
        | c2_1(X82) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f1320,plain,
    ( c0_1(a24)
    | c2_1(a24)
    | ~ spl0_11
    | ~ spl0_65 ),
    inference(resolution,[],[f516,f276]) ).

fof(f276,plain,
    ( ! [X82] :
        ( ~ c3_1(X82)
        | c0_1(X82)
        | c2_1(X82) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f1361,plain,
    ( spl0_132
    | spl0_178
    | ~ spl0_48
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1325,f837,f434,f1351,f882]) ).

fof(f1325,plain,
    ( c0_1(a24)
    | c2_1(a24)
    | ~ spl0_48
    | ~ spl0_125 ),
    inference(resolution,[],[f839,f435]) ).

fof(f839,plain,
    ( c1_1(a24)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f1355,plain,
    ( ~ spl0_171
    | ~ spl0_67
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f1336,f283,f241,f524,f1201]) ).

fof(f1336,plain,
    ( ~ c1_1(a29)
    | ~ c0_1(a29)
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(resolution,[],[f242,f284]) ).

fof(f284,plain,
    ( c3_1(a29)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f283]) ).

fof(f1354,plain,
    ( ~ spl0_125
    | ~ spl0_178
    | ~ spl0_2
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1334,f514,f241,f1351,f837]) ).

fof(f1334,plain,
    ( ~ c0_1(a24)
    | ~ c1_1(a24)
    | ~ spl0_2
    | ~ spl0_65 ),
    inference(resolution,[],[f242,f516]) ).

fof(f1343,plain,
    ( ~ spl0_135
    | ~ spl0_167
    | ~ spl0_2
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1331,f791,f241,f1129,f899]) ).

fof(f899,plain,
    ( spl0_135
  <=> c0_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1331,plain,
    ( ~ c1_1(a6)
    | ~ c0_1(a6)
    | ~ spl0_2
    | ~ spl0_118 ),
    inference(resolution,[],[f242,f793]) ).

fof(f1315,plain,
    ( spl0_149
    | spl0_176
    | spl0_5
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f1310,f313,f252,f1312,f976]) ).

fof(f1310,plain,
    ( c1_1(a40)
    | c0_1(a40)
    | spl0_5
    | ~ spl0_20 ),
    inference(resolution,[],[f254,f314]) ).

fof(f254,plain,
    ( ~ c2_1(a40)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f1307,plain,
    ( spl0_140
    | spl0_13
    | ~ spl0_27
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1304,f1201,f344,f283,f930]) ).

fof(f344,plain,
    ( spl0_27
  <=> ! [X70] :
        ( c3_1(X70)
        | c2_1(X70)
        | ~ c0_1(X70) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1304,plain,
    ( c3_1(a29)
    | c2_1(a29)
    | ~ spl0_27
    | ~ spl0_171 ),
    inference(resolution,[],[f345,f1203]) ).

fof(f1203,plain,
    ( c0_1(a29)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1201]) ).

fof(f345,plain,
    ( ! [X70] :
        ( ~ c0_1(X70)
        | c2_1(X70)
        | c3_1(X70) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f1297,plain,
    ( ~ spl0_152
    | spl0_145
    | ~ spl0_70
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1291,f1152,f537,f954,f994]) ).

fof(f1291,plain,
    ( c3_1(a21)
    | ~ c0_1(a21)
    | ~ spl0_70
    | ~ spl0_168 ),
    inference(resolution,[],[f538,f1154]) ).

fof(f1269,plain,
    ( spl0_115
    | spl0_174
    | ~ spl0_4
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1264,f754,f248,f1266,f774]) ).

fof(f774,plain,
    ( spl0_115
  <=> c1_1(a54) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1264,plain,
    ( c2_1(a54)
    | c1_1(a54)
    | ~ spl0_4
    | ~ spl0_111 ),
    inference(resolution,[],[f756,f249]) ).

fof(f756,plain,
    ( c0_1(a54)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f1261,plain,
    ( ~ spl0_40
    | ~ spl0_81
    | ~ spl0_64
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1253,f1244,f510,f595,f396]) ).

fof(f1253,plain,
    ( ~ c2_1(a13)
    | ~ c1_1(a13)
    | ~ spl0_64
    | ~ spl0_173 ),
    inference(resolution,[],[f511,f1246]) ).

fof(f1247,plain,
    ( spl0_121
    | spl0_173
    | ~ spl0_32
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f1242,f396,f365,f1244,f810]) ).

fof(f365,plain,
    ( spl0_32
  <=> ! [X94] :
        ( c0_1(X94)
        | c3_1(X94)
        | ~ c1_1(X94) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1242,plain,
    ( c3_1(a13)
    | c0_1(a13)
    | ~ spl0_32
    | ~ spl0_40 ),
    inference(resolution,[],[f398,f366]) ).

fof(f366,plain,
    ( ! [X94] :
        ( ~ c1_1(X94)
        | c3_1(X94)
        | c0_1(X94) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f398,plain,
    ( c1_1(a13)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f1235,plain,
    ( spl0_155
    | spl0_116
    | ~ spl0_53
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1228,f604,f456,f780,f1010]) ).

fof(f1010,plain,
    ( spl0_155
  <=> c0_1(a39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f780,plain,
    ( spl0_116
  <=> c3_1(a39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f604,plain,
    ( spl0_83
  <=> c2_1(a39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1228,plain,
    ( c3_1(a39)
    | c0_1(a39)
    | ~ spl0_53
    | ~ spl0_83 ),
    inference(resolution,[],[f457,f606]) ).

fof(f606,plain,
    ( c2_1(a39)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f1204,plain,
    ( spl0_171
    | spl0_13
    | ~ spl0_32
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1199,f524,f365,f283,f1201]) ).

fof(f1199,plain,
    ( c3_1(a29)
    | c0_1(a29)
    | ~ spl0_32
    | ~ spl0_67 ),
    inference(resolution,[],[f526,f366]) ).

fof(f1197,plain,
    ( ~ spl0_110
    | spl0_169
    | ~ spl0_38
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f1193,f442,f389,f1166,f748]) ).

fof(f442,plain,
    ( spl0_50
  <=> c1_1(a76) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1193,plain,
    ( c2_1(a76)
    | ~ c0_1(a76)
    | ~ spl0_38
    | ~ spl0_50 ),
    inference(resolution,[],[f390,f444]) ).

fof(f444,plain,
    ( c1_1(a76)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f1194,plain,
    ( ~ spl0_135
    | spl0_117
    | ~ spl0_38
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1189,f1129,f389,f786,f899]) ).

fof(f1189,plain,
    ( c2_1(a6)
    | ~ c0_1(a6)
    | ~ spl0_38
    | ~ spl0_167 ),
    inference(resolution,[],[f390,f1131]) ).

fof(f1131,plain,
    ( c1_1(a6)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1129]) ).

fof(f1155,plain,
    ( spl0_168
    | spl0_54
    | ~ spl0_4
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1150,f994,f248,f460,f1152]) ).

fof(f1150,plain,
    ( c2_1(a21)
    | c1_1(a21)
    | ~ spl0_4
    | ~ spl0_152 ),
    inference(resolution,[],[f996,f249]) ).

fof(f1139,plain,
    ( spl0_41
    | spl0_58
    | ~ spl0_32
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1136,f582,f365,f480,f401]) ).

fof(f401,plain,
    ( spl0_41
  <=> c0_1(a35) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f480,plain,
    ( spl0_58
  <=> c3_1(a35) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f582,plain,
    ( spl0_79
  <=> c1_1(a35) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1136,plain,
    ( c3_1(a35)
    | c0_1(a35)
    | ~ spl0_32
    | ~ spl0_79 ),
    inference(resolution,[],[f366,f584]) ).

fof(f584,plain,
    ( c1_1(a35)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f1132,plain,
    ( ~ spl0_135
    | spl0_167
    | ~ spl0_8
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1127,f791,f264,f1129,f899]) ).

fof(f1127,plain,
    ( c1_1(a6)
    | ~ c0_1(a6)
    | ~ spl0_8
    | ~ spl0_118 ),
    inference(resolution,[],[f793,f265]) ).

fof(f1123,plain,
    ( spl0_166
    | spl0_25
    | ~ spl0_27
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1117,f652,f344,f334,f1120]) ).

fof(f334,plain,
    ( spl0_25
  <=> c2_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f1117,plain,
    ( c2_1(a1)
    | c3_1(a1)
    | ~ spl0_27
    | ~ spl0_93 ),
    inference(resolution,[],[f345,f654]) ).

fof(f1096,plain,
    ( spl0_138
    | spl0_25
    | ~ spl0_4
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1095,f652,f248,f334,f917]) ).

fof(f1095,plain,
    ( c2_1(a1)
    | c1_1(a1)
    | ~ spl0_4
    | ~ spl0_93 ),
    inference(resolution,[],[f654,f249]) ).

fof(f1094,plain,
    ( spl0_156
    | spl0_100
    | ~ spl0_20
    | spl0_46 ),
    inference(avatar_split_clause,[],[f1089,f424,f313,f686,f1015]) ).

fof(f1015,plain,
    ( spl0_156
  <=> c0_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f686,plain,
    ( spl0_100
  <=> c1_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f424,plain,
    ( spl0_46
  <=> c2_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1089,plain,
    ( c1_1(a9)
    | c0_1(a9)
    | ~ spl0_20
    | spl0_46 ),
    inference(resolution,[],[f314,f426]) ).

fof(f426,plain,
    ( ~ c2_1(a9)
    | spl0_46 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f1093,plain,
    ( spl0_68
    | spl0_162
    | ~ spl0_20
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1090,f982,f313,f1056,f529]) ).

fof(f1090,plain,
    ( c0_1(a15)
    | c1_1(a15)
    | ~ spl0_20
    | spl0_150 ),
    inference(resolution,[],[f314,f984]) ).

fof(f984,plain,
    ( ~ c2_1(a15)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f982]) ).

fof(f1092,plain,
    ( spl0_161
    | spl0_72
    | ~ spl0_20
    | spl0_151 ),
    inference(avatar_split_clause,[],[f1091,f987,f313,f547,f1046]) ).

fof(f987,plain,
    ( spl0_151
  <=> c2_1(a65) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1091,plain,
    ( c1_1(a65)
    | c0_1(a65)
    | ~ spl0_20
    | spl0_151 ),
    inference(resolution,[],[f314,f989]) ).

fof(f989,plain,
    ( ~ c2_1(a65)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f987]) ).

fof(f1088,plain,
    ( spl0_90
    | ~ spl0_165
    | ~ spl0_16
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1078,f799,f296,f1085,f637]) ).

fof(f1078,plain,
    ( ~ c1_1(a28)
    | c0_1(a28)
    | ~ spl0_16
    | ~ spl0_119 ),
    inference(resolution,[],[f297,f801]) ).

fof(f1072,plain,
    ( ~ spl0_110
    | ~ spl0_50
    | ~ spl0_2
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f1071,f429,f241,f442,f748]) ).

fof(f1071,plain,
    ( ~ c1_1(a76)
    | ~ c0_1(a76)
    | ~ spl0_2
    | ~ spl0_47 ),
    inference(resolution,[],[f431,f242]) ).

fof(f1068,plain,
    ( spl0_161
    | spl0_151
    | ~ spl0_11
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1065,f577,f275,f987,f1046]) ).

fof(f1065,plain,
    ( c2_1(a65)
    | c0_1(a65)
    | ~ spl0_11
    | ~ spl0_78 ),
    inference(resolution,[],[f276,f579]) ).

fof(f1067,plain,
    ( spl0_22
    | spl0_103
    | ~ spl0_11
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1066,f675,f275,f703,f320]) ).

fof(f320,plain,
    ( spl0_22
  <=> c0_1(a52) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f703,plain,
    ( spl0_103
  <=> c2_1(a52) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f675,plain,
    ( spl0_98
  <=> c3_1(a52) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1066,plain,
    ( c2_1(a52)
    | c0_1(a52)
    | ~ spl0_11
    | ~ spl0_98 ),
    inference(resolution,[],[f276,f677]) ).

fof(f677,plain,
    ( c3_1(a52)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f1049,plain,
    ( spl0_72
    | ~ spl0_161
    | ~ spl0_8
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1043,f577,f264,f1046,f547]) ).

fof(f1043,plain,
    ( ~ c0_1(a65)
    | c1_1(a65)
    | ~ spl0_8
    | ~ spl0_78 ),
    inference(resolution,[],[f265,f579]) ).

fof(f1028,plain,
    ( ~ spl0_49
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f179,f1025,f437]) ).

fof(f437,plain,
    ( spl0_49
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f179,plain,
    ( ~ c1_1(a10)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ( ( ~ c1_1(a1)
        & ndr1_0
        & ~ c2_1(a1)
        & c0_1(a1) )
      | ~ hskp0 )
    & ( hskp21
      | hskp5
      | hskp24 )
    & ( ! [X0] :
          ( ~ c2_1(X0)
          | ~ ndr1_0
          | ~ c3_1(X0)
          | c0_1(X0) )
      | ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | c2_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c1_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 ) )
    & ( ~ hskp11
      | ( ~ c3_1(a21)
        & ~ c2_1(a21)
        & c0_1(a21)
        & ndr1_0 ) )
    & ( ( ndr1_0
        & c3_1(a30)
        & c2_1(a30)
        & ~ c1_1(a30) )
      | ~ hskp16 )
    & ( ( c3_1(a65)
        & ~ c2_1(a65)
        & ~ c1_1(a65)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ! [X3] :
          ( ~ c2_1(X3)
          | ~ ndr1_0
          | c0_1(X3)
          | c3_1(X3) )
      | ! [X4] :
          ( c1_1(X4)
          | ~ ndr1_0
          | ~ c2_1(X4)
          | c0_1(X4) )
      | ! [X5] :
          ( c0_1(X5)
          | ~ ndr1_0
          | ~ c1_1(X5)
          | c2_1(X5) ) )
    & ( ! [X6] :
          ( ~ c1_1(X6)
          | ~ c2_1(X6)
          | ~ ndr1_0
          | ~ c3_1(X6) )
      | hskp25
      | hskp9 )
    & ( ! [X7] :
          ( ~ ndr1_0
          | ~ c3_1(X7)
          | c1_1(X7)
          | ~ c0_1(X7) )
      | ! [X8] :
          ( ~ c0_1(X8)
          | c3_1(X8)
          | c1_1(X8)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ( ndr1_0
        & ~ c3_1(a10)
        & c2_1(a10)
        & ~ c1_1(a10) )
      | ~ hskp6 )
    & ( ~ hskp29
      | ( c2_1(a8)
        & c3_1(a8)
        & c1_1(a8)
        & ndr1_0 ) )
    & ( hskp7
      | ! [X9] :
          ( c2_1(X9)
          | ~ ndr1_0
          | ~ c3_1(X9)
          | c0_1(X9) )
      | ! [X10] :
          ( ~ c0_1(X10)
          | c1_1(X10)
          | ~ ndr1_0
          | c3_1(X10) ) )
    & ( hskp16
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c3_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a52)
        & ~ c0_1(a52)
        & ndr1_0
        & ~ c2_1(a52) )
      | ~ hskp24 )
    & ( ( ~ c0_1(a13)
        & c1_1(a13)
        & ndr1_0
        & c2_1(a13) )
      | ~ hskp8 )
    & ( ! [X12] :
          ( c2_1(X12)
          | ~ ndr1_0
          | c0_1(X12)
          | c3_1(X12) )
      | hskp5
      | hskp29 )
    & ( ! [X13] :
          ( c3_1(X13)
          | ~ c1_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c1_1(X14)
          | c0_1(X14)
          | ~ ndr1_0
          | ~ c2_1(X14) )
      | hskp30 )
    & ( hskp0
      | ! [X15] :
          ( c0_1(X15)
          | ~ ndr1_0
          | c1_1(X15)
          | c2_1(X15) )
      | hskp28 )
    & ( ( c0_1(a32)
        & ndr1_0
        & ~ c3_1(a32)
        & c2_1(a32) )
      | ~ hskp17 )
    & ( hskp0
      | ! [X16] :
          ( c2_1(X16)
          | c0_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c0_1(X17)
          | ~ c2_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( ! [X18] :
          ( c3_1(X18)
          | ~ ndr1_0
          | c0_1(X18)
          | c1_1(X18) )
      | hskp2
      | ! [X19] :
          ( c2_1(X19)
          | ~ ndr1_0
          | c3_1(X19)
          | ~ c1_1(X19) ) )
    & ( ~ hskp3
      | ( c0_1(a6)
        & ndr1_0
        & ~ c2_1(a6)
        & c3_1(a6) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c0_1(a5)
        & ~ c1_1(a5)
        & c2_1(a5) ) )
    & ( ! [X20] :
          ( c0_1(X20)
          | ~ c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | hskp17
      | hskp18 )
    & ( ! [X21] :
          ( c3_1(X21)
          | c2_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c0_1(X22)
          | ~ c1_1(X22)
          | ~ ndr1_0
          | c3_1(X22) )
      | hskp21 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c2_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c3_1(X24)
          | c1_1(X24)
          | c0_1(X24)
          | ~ ndr1_0 )
      | hskp1 )
    & ( hskp28
      | hskp26
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c1_1(X25)
          | c2_1(X25)
          | ~ c0_1(X25) ) )
    & ( ! [X26] :
          ( ~ c1_1(X26)
          | ~ ndr1_0
          | ~ c3_1(X26)
          | c0_1(X26) )
      | hskp11
      | hskp19 )
    & ( hskp8
      | ! [X27] :
          ( c1_1(X27)
          | ~ ndr1_0
          | ~ c3_1(X27)
          | ~ c2_1(X27) )
      | ! [X28] :
          ( c3_1(X28)
          | ~ c2_1(X28)
          | c0_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp26
      | hskp27 )
    & ( hskp14
      | hskp3
      | ! [X29] :
          ( c0_1(X29)
          | ~ ndr1_0
          | ~ c2_1(X29)
          | c3_1(X29) ) )
    & ( ~ hskp25
      | ( c3_1(a54)
        & ~ c1_1(a54)
        & c0_1(a54)
        & ndr1_0 ) )
    & ( ! [X30] :
          ( ~ ndr1_0
          | c1_1(X30)
          | ~ c2_1(X30)
          | ~ c0_1(X30) )
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ ndr1_0
          | ~ c3_1(X31)
          | ~ c0_1(X31) )
      | ! [X32] :
          ( c1_1(X32)
          | c2_1(X32)
          | c3_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X33] :
          ( c1_1(X33)
          | ~ c0_1(X33)
          | c2_1(X33)
          | ~ ndr1_0 )
      | hskp30 )
    & ( hskp6
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c1_1(X34)
          | c3_1(X34)
          | c0_1(X34) )
      | ! [X35] :
          ( c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0
          | c0_1(X35) ) )
    & ( ! [X36] :
          ( ~ c3_1(X36)
          | ~ ndr1_0
          | ~ c0_1(X36)
          | ~ c1_1(X36) )
      | hskp21
      | ! [X37] :
          ( ~ c3_1(X37)
          | ~ ndr1_0
          | ~ c2_1(X37)
          | ~ c0_1(X37) ) )
    & ( ! [X38] :
          ( ~ ndr1_0
          | c0_1(X38)
          | ~ c2_1(X38)
          | ~ c3_1(X38) )
      | hskp4
      | hskp20 )
    & ( ~ hskp7
      | ( c1_1(a12)
        & ~ c3_1(a12)
        & ndr1_0
        & c0_1(a12) ) )
    & ( hskp26
      | hskp30
      | hskp7 )
    & ( ! [X39] :
          ( c2_1(X39)
          | ~ ndr1_0
          | ~ c0_1(X39)
          | ~ c3_1(X39) )
      | hskp17
      | ! [X40] :
          ( ~ c2_1(X40)
          | ~ c1_1(X40)
          | c3_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp6
      | hskp12 )
    & ( hskp9
      | ! [X41] :
          ( ~ c2_1(X41)
          | c3_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ ndr1_0
          | c3_1(X42)
          | c2_1(X42)
          | ~ c1_1(X42) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a35)
        & ~ c3_1(a35)
        & ~ c0_1(a35) ) )
    & ( ! [X43] :
          ( c3_1(X43)
          | c0_1(X43)
          | ~ ndr1_0
          | ~ c2_1(X43) )
      | hskp15
      | hskp16 )
    & ( hskp15
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c0_1(X44)
          | ~ c1_1(X44)
          | c2_1(X44) )
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ ndr1_0
          | ~ c2_1(X45)
          | c1_1(X45) ) )
    & ( hskp29
      | hskp19
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c0_1(X46)
          | ~ c1_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X47] :
          ( ~ ndr1_0
          | ~ c2_1(X47)
          | ~ c0_1(X47)
          | ~ c3_1(X47) )
      | hskp31
      | hskp28 )
    & ( hskp13
      | hskp2
      | hskp3 )
    & ( ( c1_1(a33)
        & c2_1(a33)
        & ~ c3_1(a33)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ! [X48] :
          ( ~ ndr1_0
          | ~ c1_1(X48)
          | ~ c0_1(X48)
          | ~ c3_1(X48) )
      | hskp24
      | hskp14 )
    & ( ! [X49] :
          ( c3_1(X49)
          | ~ ndr1_0
          | ~ c1_1(X49)
          | c0_1(X49) )
      | hskp12 )
    & ( hskp3
      | ! [X50] :
          ( c2_1(X50)
          | ~ ndr1_0
          | ~ c1_1(X50)
          | c3_1(X50) )
      | hskp25 )
    & ( ( c1_1(a24)
        & ndr1_0
        & c3_1(a24)
        & ~ c2_1(a24) )
      | ~ hskp12 )
    & ( hskp10
      | ! [X51] :
          ( c2_1(X51)
          | ~ ndr1_0
          | ~ c3_1(X51)
          | c0_1(X51) )
      | ! [X52] :
          ( c3_1(X52)
          | c1_1(X52)
          | ~ c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp28
      | ! [X53] :
          ( ~ c0_1(X53)
          | ~ c2_1(X53)
          | ~ c1_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp7
      | ! [X54] :
          ( ~ c3_1(X54)
          | c2_1(X54)
          | ~ ndr1_0
          | ~ c1_1(X54) ) )
    & ( ! [X55] :
          ( c0_1(X55)
          | ~ ndr1_0
          | ~ c1_1(X55)
          | ~ c3_1(X55) )
      | ! [X56] :
          ( ~ c0_1(X56)
          | c3_1(X56)
          | c1_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c0_1(X57)
          | ~ ndr1_0
          | ~ c2_1(X57)
          | ~ c1_1(X57) ) )
    & ( ( ~ c0_1(a40)
        & ~ c2_1(a40)
        & ~ c3_1(a40)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ! [X58] :
          ( ~ ndr1_0
          | c2_1(X58)
          | c0_1(X58)
          | ~ c3_1(X58) )
      | ! [X59] :
          ( ~ c1_1(X59)
          | ~ c0_1(X59)
          | ~ ndr1_0
          | ~ c3_1(X59) )
      | hskp5 )
    & ( ! [X60] :
          ( ~ c2_1(X60)
          | ~ ndr1_0
          | c0_1(X60)
          | c3_1(X60) )
      | ! [X61] :
          ( c3_1(X61)
          | ~ ndr1_0
          | ~ c1_1(X61)
          | ~ c0_1(X61) )
      | ! [X62] :
          ( ~ c0_1(X62)
          | c3_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X63] :
          ( ~ c3_1(X63)
          | ~ ndr1_0
          | ~ c2_1(X63)
          | ~ c1_1(X63) )
      | ! [X64] :
          ( ~ ndr1_0
          | c3_1(X64)
          | ~ c2_1(X64)
          | c1_1(X64) ) )
    & ( ! [X65] :
          ( c0_1(X65)
          | ~ ndr1_0
          | ~ c1_1(X65)
          | c2_1(X65) )
      | hskp8
      | hskp7 )
    & ( ! [X66] :
          ( ~ ndr1_0
          | c2_1(X66)
          | ~ c1_1(X66)
          | c3_1(X66) )
      | ! [X67] :
          ( c0_1(X67)
          | ~ c2_1(X67)
          | c3_1(X67)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ( ndr1_0
        & c1_1(a76)
        & c3_1(a76)
        & c0_1(a76) )
      | ~ hskp31 )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a4)
        & ~ c1_1(a4)
        & c0_1(a4) ) )
    & ( ~ hskp5
      | ( ~ c2_1(a9)
        & ~ c1_1(a9)
        & ~ c0_1(a9)
        & ndr1_0 ) )
    & ( ( ~ c1_1(a57)
        & ~ c0_1(a57)
        & ~ c3_1(a57)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ~ hskp13
      | ( ~ c0_1(a26)
        & c3_1(a26)
        & ndr1_0
        & ~ c1_1(a26) ) )
    & ( hskp11
      | ! [X68] :
          ( c2_1(X68)
          | ~ ndr1_0
          | ~ c3_1(X68)
          | c0_1(X68) )
      | hskp30 )
    & ( hskp27
      | hskp18
      | ! [X69] :
          ( ~ c0_1(X69)
          | ~ ndr1_0
          | ~ c2_1(X69)
          | ~ c1_1(X69) ) )
    & ( ( ndr1_0
        & ~ c1_1(a15)
        & ~ c2_1(a15)
        & ~ c3_1(a15) )
      | ~ hskp9 )
    & ( ! [X70] :
          ( ~ c0_1(X70)
          | c2_1(X70)
          | ~ ndr1_0
          | c3_1(X70) )
      | hskp24
      | hskp3 )
    & ( ~ hskp28
      | ( c2_1(a2)
        & c0_1(a2)
        & c1_1(a2)
        & ndr1_0 ) )
    & ( ~ hskp14
      | ( c2_1(a28)
        & ndr1_0
        & c3_1(a28)
        & ~ c0_1(a28) ) )
    & ( ! [X71] :
          ( ~ c3_1(X71)
          | ~ c1_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | hskp22
      | ! [X72] :
          ( c1_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0
          | c2_1(X72) ) )
    & ( ~ hskp30
      | ( c3_1(a20)
        & ndr1_0
        & c0_1(a20)
        & c2_1(a20) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c2_1(a17)
        & ~ c0_1(a17)
        & c1_1(a17) ) )
    & ( hskp31
      | hskp24
      | hskp12 )
    & ( ! [X73] :
          ( c2_1(X73)
          | c0_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c3_1(X74)
          | ~ c1_1(X74)
          | ~ c2_1(X74) )
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c2_1(X75)
          | c0_1(X75)
          | ~ c1_1(X75) ) )
    & ( ! [X76] :
          ( ~ ndr1_0
          | ~ c0_1(X76)
          | c3_1(X76)
          | ~ c1_1(X76) )
      | ! [X77] :
          ( ~ c3_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0
          | ~ c0_1(X77) )
      | ! [X78] :
          ( ~ ndr1_0
          | c2_1(X78)
          | c0_1(X78)
          | ~ c1_1(X78) ) )
    & ( hskp13
      | hskp15
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c3_1(X79)
          | ~ c2_1(X79)
          | ~ c0_1(X79) ) )
    & ( ! [X80] :
          ( c1_1(X80)
          | c3_1(X80)
          | ~ ndr1_0
          | c2_1(X80) )
      | hskp8
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c3_1(X81)
          | c1_1(X81)
          | ~ c2_1(X81) ) )
    & ( ! [X82] :
          ( ~ c3_1(X82)
          | c2_1(X82)
          | ~ ndr1_0
          | c0_1(X82) )
      | hskp4
      | ! [X83] :
          ( c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0
          | c3_1(X83) ) )
    & ( ! [X84] :
          ( ~ c1_1(X84)
          | ~ c3_1(X84)
          | ~ c0_1(X84)
          | ~ ndr1_0 )
      | hskp2
      | hskp0 )
    & ( ! [X85] :
          ( ~ c0_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0
          | ~ c1_1(X85) )
      | hskp12
      | hskp26 )
    & ( ~ hskp20
      | ( c0_1(a36)
        & ~ c2_1(a36)
        & ndr1_0
        & c1_1(a36) ) )
    & ( ( ~ c0_1(a7)
        & ndr1_0
        & c3_1(a7)
        & c1_1(a7) )
      | ~ hskp4 )
    & ( hskp5
      | ! [X86] :
          ( c0_1(X86)
          | ~ ndr1_0
          | ~ c3_1(X86)
          | c2_1(X86) )
      | ! [X87] :
          ( ~ c0_1(X87)
          | ~ c1_1(X87)
          | ~ ndr1_0
          | c3_1(X87) ) )
    & ( hskp6
      | hskp17
      | ! [X88] :
          ( c2_1(X88)
          | c1_1(X88)
          | ~ ndr1_0
          | ~ c3_1(X88) ) )
    & ( ~ hskp23
      | ( c0_1(a42)
        & ~ c3_1(a42)
        & ~ c1_1(a42)
        & ndr1_0 ) )
    & ( ! [X89] :
          ( ~ ndr1_0
          | c2_1(X89)
          | ~ c0_1(X89)
          | ~ c1_1(X89) )
      | hskp3
      | ! [X90] :
          ( c1_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0
          | c0_1(X90) ) )
    & ( ! [X91] :
          ( c2_1(X91)
          | ~ ndr1_0
          | c3_1(X91)
          | ~ c1_1(X91) )
      | ! [X92] :
          ( ~ c0_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0
          | ~ c2_1(X92) )
      | hskp12 )
    & ( ( c2_1(a39)
        & ~ c3_1(a39)
        & ndr1_0
        & ~ c0_1(a39) )
      | ~ hskp21 )
    & ( hskp12
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c2_1(X93)
          | ~ c3_1(X93)
          | ~ c1_1(X93) )
      | hskp2 )
    & ( ! [X94] :
          ( c3_1(X94)
          | c0_1(X94)
          | ~ c1_1(X94)
          | ~ ndr1_0 )
      | hskp8
      | hskp30 )
    & ( ! [X95] :
          ( c0_1(X95)
          | ~ ndr1_0
          | c2_1(X95)
          | ~ c1_1(X95) )
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c0_1(X96)
          | ~ c3_1(X96)
          | ~ c2_1(X96) )
      | hskp28 )
    & ( ! [X97] :
          ( ~ c3_1(X97)
          | ~ ndr1_0
          | ~ c0_1(X97)
          | ~ c2_1(X97) )
      | ! [X98] :
          ( ~ c3_1(X98)
          | c1_1(X98)
          | ~ c0_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c1_1(X99)
          | ~ ndr1_0
          | ~ c3_1(X99)
          | ~ c0_1(X99) ) )
    & ( ! [X100] :
          ( ~ c1_1(X100)
          | c2_1(X100)
          | ~ ndr1_0
          | c0_1(X100) )
      | hskp9
      | hskp0 )
    & ( ( ~ c3_1(a29)
        & ndr1_0
        & ~ c2_1(a29)
        & c1_1(a29) )
      | ~ hskp15 )
    & ( ! [X101] :
          ( ~ c0_1(X101)
          | c1_1(X101)
          | ~ ndr1_0
          | ~ c3_1(X101) )
      | hskp8
      | hskp21 ) ),
    inference(rectify,[],[f6]) ).

fof(f6,plain,
    ( ( ( ~ c1_1(a1)
        & ndr1_0
        & ~ c2_1(a1)
        & c0_1(a1) )
      | ~ hskp0 )
    & ( hskp21
      | hskp5
      | hskp24 )
    & ( ! [X33] :
          ( ~ c2_1(X33)
          | ~ ndr1_0
          | ~ c3_1(X33)
          | c0_1(X33) )
      | ! [X32] :
          ( c0_1(X32)
          | c1_1(X32)
          | c2_1(X32)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c3_1(X31)
          | ~ c1_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 ) )
    & ( ~ hskp11
      | ( ~ c3_1(a21)
        & ~ c2_1(a21)
        & c0_1(a21)
        & ndr1_0 ) )
    & ( ( ndr1_0
        & c3_1(a30)
        & c2_1(a30)
        & ~ c1_1(a30) )
      | ~ hskp16 )
    & ( ( c3_1(a65)
        & ~ c2_1(a65)
        & ~ c1_1(a65)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ! [X55] :
          ( ~ c2_1(X55)
          | ~ ndr1_0
          | c0_1(X55)
          | c3_1(X55) )
      | ! [X54] :
          ( c1_1(X54)
          | ~ ndr1_0
          | ~ c2_1(X54)
          | c0_1(X54) )
      | ! [X53] :
          ( c0_1(X53)
          | ~ ndr1_0
          | ~ c1_1(X53)
          | c2_1(X53) ) )
    & ( ! [X14] :
          ( ~ c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0
          | ~ c3_1(X14) )
      | hskp25
      | hskp9 )
    & ( ! [X90] :
          ( ~ ndr1_0
          | ~ c3_1(X90)
          | c1_1(X90)
          | ~ c0_1(X90) )
      | ! [X91] :
          ( ~ c0_1(X91)
          | c3_1(X91)
          | c1_1(X91)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ( ndr1_0
        & ~ c3_1(a10)
        & c2_1(a10)
        & ~ c1_1(a10) )
      | ~ hskp6 )
    & ( ~ hskp29
      | ( c2_1(a8)
        & c3_1(a8)
        & c1_1(a8)
        & ndr1_0 ) )
    & ( hskp7
      | ! [X101] :
          ( c2_1(X101)
          | ~ ndr1_0
          | ~ c3_1(X101)
          | c0_1(X101) )
      | ! [X100] :
          ( ~ c0_1(X100)
          | c1_1(X100)
          | ~ ndr1_0
          | c3_1(X100) ) )
    & ( hskp16
      | ! [X23] :
          ( ~ c1_1(X23)
          | ~ c3_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a52)
        & ~ c0_1(a52)
        & ndr1_0
        & ~ c2_1(a52) )
      | ~ hskp24 )
    & ( ( ~ c0_1(a13)
        & c1_1(a13)
        & ndr1_0
        & c2_1(a13) )
      | ~ hskp8 )
    & ( ! [X22] :
          ( c2_1(X22)
          | ~ ndr1_0
          | c0_1(X22)
          | c3_1(X22) )
      | hskp5
      | hskp29 )
    & ( ! [X18] :
          ( c3_1(X18)
          | ~ c1_1(X18)
          | ~ c0_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c1_1(X19)
          | c0_1(X19)
          | ~ ndr1_0
          | ~ c2_1(X19) )
      | hskp30 )
    & ( hskp0
      | ! [X36] :
          ( c0_1(X36)
          | ~ ndr1_0
          | c1_1(X36)
          | c2_1(X36) )
      | hskp28 )
    & ( ( c0_1(a32)
        & ndr1_0
        & ~ c3_1(a32)
        & c2_1(a32) )
      | ~ hskp17 )
    & ( hskp0
      | ! [X20] :
          ( c2_1(X20)
          | c0_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c0_1(X21)
          | ~ c2_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X11] :
          ( c3_1(X11)
          | ~ ndr1_0
          | c0_1(X11)
          | c1_1(X11) )
      | hskp2
      | ! [X10] :
          ( c2_1(X10)
          | ~ ndr1_0
          | c3_1(X10)
          | ~ c1_1(X10) ) )
    & ( ~ hskp3
      | ( c0_1(a6)
        & ndr1_0
        & ~ c2_1(a6)
        & c3_1(a6) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c0_1(a5)
        & ~ c1_1(a5)
        & c2_1(a5) ) )
    & ( ! [X49] :
          ( c0_1(X49)
          | ~ c1_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | hskp17
      | hskp18 )
    & ( ! [X1] :
          ( c3_1(X1)
          | c2_1(X1)
          | c1_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c0_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0
          | c3_1(X2) )
      | hskp21 )
    & ( ! [X62] :
          ( c0_1(X62)
          | c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c3_1(X63)
          | c1_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 )
      | hskp1 )
    & ( hskp28
      | hskp26
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c1_1(X76)
          | c2_1(X76)
          | ~ c0_1(X76) ) )
    & ( ! [X15] :
          ( ~ c1_1(X15)
          | ~ ndr1_0
          | ~ c3_1(X15)
          | c0_1(X15) )
      | hskp11
      | hskp19 )
    & ( hskp8
      | ! [X17] :
          ( c1_1(X17)
          | ~ ndr1_0
          | ~ c3_1(X17)
          | ~ c2_1(X17) )
      | ! [X16] :
          ( c3_1(X16)
          | ~ c2_1(X16)
          | c0_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp26
      | hskp27 )
    & ( hskp14
      | hskp3
      | ! [X69] :
          ( c0_1(X69)
          | ~ ndr1_0
          | ~ c2_1(X69)
          | c3_1(X69) ) )
    & ( ~ hskp25
      | ( c3_1(a54)
        & ~ c1_1(a54)
        & c0_1(a54)
        & ndr1_0 ) )
    & ( ! [X67] :
          ( ~ ndr1_0
          | c1_1(X67)
          | ~ c2_1(X67)
          | ~ c0_1(X67) )
      | ! [X68] :
          ( ~ c2_1(X68)
          | ~ ndr1_0
          | ~ c3_1(X68)
          | ~ c0_1(X68) )
      | ! [X66] :
          ( c1_1(X66)
          | c2_1(X66)
          | c3_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X92] :
          ( c1_1(X92)
          | ~ c0_1(X92)
          | c2_1(X92)
          | ~ ndr1_0 )
      | hskp30 )
    & ( hskp6
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c1_1(X71)
          | c3_1(X71)
          | c0_1(X71) )
      | ! [X72] :
          ( c2_1(X72)
          | ~ c1_1(X72)
          | ~ ndr1_0
          | c0_1(X72) ) )
    & ( ! [X43] :
          ( ~ c3_1(X43)
          | ~ ndr1_0
          | ~ c0_1(X43)
          | ~ c1_1(X43) )
      | hskp21
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ ndr1_0
          | ~ c2_1(X44)
          | ~ c0_1(X44) ) )
    & ( ! [X75] :
          ( ~ ndr1_0
          | c0_1(X75)
          | ~ c2_1(X75)
          | ~ c3_1(X75) )
      | hskp4
      | hskp20 )
    & ( ~ hskp7
      | ( c1_1(a12)
        & ~ c3_1(a12)
        & ndr1_0
        & c0_1(a12) ) )
    & ( hskp26
      | hskp30
      | hskp7 )
    & ( ! [X34] :
          ( c2_1(X34)
          | ~ ndr1_0
          | ~ c0_1(X34)
          | ~ c3_1(X34) )
      | hskp17
      | ! [X35] :
          ( ~ c2_1(X35)
          | ~ c1_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp6
      | hskp12 )
    & ( hskp9
      | ! [X57] :
          ( ~ c2_1(X57)
          | c3_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ ndr1_0
          | c3_1(X56)
          | c2_1(X56)
          | ~ c1_1(X56) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a35)
        & ~ c3_1(a35)
        & ~ c0_1(a35) ) )
    & ( ! [X5] :
          ( c3_1(X5)
          | c0_1(X5)
          | ~ ndr1_0
          | ~ c2_1(X5) )
      | hskp15
      | hskp16 )
    & ( hskp15
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c0_1(X52)
          | ~ c1_1(X52)
          | c2_1(X52) )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ ndr1_0
          | ~ c2_1(X51)
          | c1_1(X51) ) )
    & ( hskp29
      | hskp19
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c0_1(X70)
          | ~ c1_1(X70)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( ~ ndr1_0
          | ~ c2_1(X80)
          | ~ c0_1(X80)
          | ~ c3_1(X80) )
      | hskp31
      | hskp28 )
    & ( hskp13
      | hskp2
      | hskp3 )
    & ( ( c1_1(a33)
        & c2_1(a33)
        & ~ c3_1(a33)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ! [X9] :
          ( ~ ndr1_0
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ c3_1(X9) )
      | hskp24
      | hskp14 )
    & ( ! [X86] :
          ( c3_1(X86)
          | ~ ndr1_0
          | ~ c1_1(X86)
          | c0_1(X86) )
      | hskp12 )
    & ( hskp3
      | ! [X50] :
          ( c2_1(X50)
          | ~ ndr1_0
          | ~ c1_1(X50)
          | c3_1(X50) )
      | hskp25 )
    & ( ( c1_1(a24)
        & ndr1_0
        & c3_1(a24)
        & ~ c2_1(a24) )
      | ~ hskp12 )
    & ( hskp10
      | ! [X65] :
          ( c2_1(X65)
          | ~ ndr1_0
          | ~ c3_1(X65)
          | c0_1(X65) )
      | ! [X64] :
          ( c3_1(X64)
          | c1_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp28
      | ! [X79] :
          ( ~ c0_1(X79)
          | ~ c2_1(X79)
          | ~ c1_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp7
      | ! [X0] :
          ( ~ c3_1(X0)
          | c2_1(X0)
          | ~ ndr1_0
          | ~ c1_1(X0) ) )
    & ( ! [X40] :
          ( c0_1(X40)
          | ~ ndr1_0
          | ~ c1_1(X40)
          | ~ c3_1(X40) )
      | ! [X38] :
          ( ~ c0_1(X38)
          | c3_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c0_1(X39)
          | ~ ndr1_0
          | ~ c2_1(X39)
          | ~ c1_1(X39) ) )
    & ( ( ~ c0_1(a40)
        & ~ c2_1(a40)
        & ~ c3_1(a40)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ! [X60] :
          ( ~ ndr1_0
          | c2_1(X60)
          | c0_1(X60)
          | ~ c3_1(X60) )
      | ! [X61] :
          ( ~ c1_1(X61)
          | ~ c0_1(X61)
          | ~ ndr1_0
          | ~ c3_1(X61) )
      | hskp5 )
    & ( ! [X94] :
          ( ~ c2_1(X94)
          | ~ ndr1_0
          | c0_1(X94)
          | c3_1(X94) )
      | ! [X95] :
          ( c3_1(X95)
          | ~ ndr1_0
          | ~ c1_1(X95)
          | ~ c0_1(X95) )
      | ! [X93] :
          ( ~ c0_1(X93)
          | c3_1(X93)
          | c2_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ ndr1_0
          | ~ c2_1(X42)
          | ~ c1_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | c3_1(X41)
          | ~ c2_1(X41)
          | c1_1(X41) ) )
    & ( ! [X99] :
          ( c0_1(X99)
          | ~ ndr1_0
          | ~ c1_1(X99)
          | c2_1(X99) )
      | hskp8
      | hskp7 )
    & ( ! [X77] :
          ( ~ ndr1_0
          | c2_1(X77)
          | ~ c1_1(X77)
          | c3_1(X77) )
      | ! [X78] :
          ( c0_1(X78)
          | ~ c2_1(X78)
          | c3_1(X78)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ( ndr1_0
        & c1_1(a76)
        & c3_1(a76)
        & c0_1(a76) )
      | ~ hskp31 )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a4)
        & ~ c1_1(a4)
        & c0_1(a4) ) )
    & ( ~ hskp5
      | ( ~ c2_1(a9)
        & ~ c1_1(a9)
        & ~ c0_1(a9)
        & ndr1_0 ) )
    & ( ( ~ c1_1(a57)
        & ~ c0_1(a57)
        & ~ c3_1(a57)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ~ hskp13
      | ( ~ c0_1(a26)
        & c3_1(a26)
        & ndr1_0
        & ~ c1_1(a26) ) )
    & ( hskp11
      | ! [X4] :
          ( c2_1(X4)
          | ~ ndr1_0
          | ~ c3_1(X4)
          | c0_1(X4) )
      | hskp30 )
    & ( hskp27
      | hskp18
      | ! [X27] :
          ( ~ c0_1(X27)
          | ~ ndr1_0
          | ~ c2_1(X27)
          | ~ c1_1(X27) ) )
    & ( ( ndr1_0
        & ~ c1_1(a15)
        & ~ c2_1(a15)
        & ~ c3_1(a15) )
      | ~ hskp9 )
    & ( ! [X85] :
          ( ~ c0_1(X85)
          | c2_1(X85)
          | ~ ndr1_0
          | c3_1(X85) )
      | hskp24
      | hskp3 )
    & ( ~ hskp28
      | ( c2_1(a2)
        & c0_1(a2)
        & c1_1(a2)
        & ndr1_0 ) )
    & ( ~ hskp14
      | ( c2_1(a28)
        & ndr1_0
        & c3_1(a28)
        & ~ c0_1(a28) ) )
    & ( ! [X98] :
          ( ~ c3_1(X98)
          | ~ c1_1(X98)
          | ~ c0_1(X98)
          | ~ ndr1_0 )
      | hskp22
      | ! [X97] :
          ( c1_1(X97)
          | ~ c0_1(X97)
          | ~ ndr1_0
          | c2_1(X97) ) )
    & ( ~ hskp30
      | ( c3_1(a20)
        & ndr1_0
        & c0_1(a20)
        & c2_1(a20) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c2_1(a17)
        & ~ c0_1(a17)
        & c1_1(a17) ) )
    & ( hskp31
      | hskp24
      | hskp12 )
    & ( ! [X6] :
          ( c2_1(X6)
          | c0_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c3_1(X7)
          | ~ c1_1(X7)
          | ~ c2_1(X7) )
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c2_1(X8)
          | c0_1(X8)
          | ~ c1_1(X8) ) )
    & ( ! [X24] :
          ( ~ ndr1_0
          | ~ c0_1(X24)
          | c3_1(X24)
          | ~ c1_1(X24) )
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c1_1(X25)
          | ~ ndr1_0
          | ~ c0_1(X25) )
      | ! [X26] :
          ( ~ ndr1_0
          | c2_1(X26)
          | c0_1(X26)
          | ~ c1_1(X26) ) )
    & ( hskp13
      | hskp15
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c3_1(X96)
          | ~ c2_1(X96)
          | ~ c0_1(X96) ) )
    & ( ! [X46] :
          ( c1_1(X46)
          | c3_1(X46)
          | ~ ndr1_0
          | c2_1(X46) )
      | hskp8
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c3_1(X45)
          | c1_1(X45)
          | ~ c2_1(X45) ) )
    & ( ! [X82] :
          ( ~ c3_1(X82)
          | c2_1(X82)
          | ~ ndr1_0
          | c0_1(X82) )
      | hskp4
      | ! [X81] :
          ( c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0
          | c3_1(X81) ) )
    & ( ! [X13] :
          ( ~ c1_1(X13)
          | ~ c3_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | hskp2
      | hskp0 )
    & ( ! [X12] :
          ( ~ c0_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0
          | ~ c1_1(X12) )
      | hskp12
      | hskp26 )
    & ( ~ hskp20
      | ( c0_1(a36)
        & ~ c2_1(a36)
        & ndr1_0
        & c1_1(a36) ) )
    & ( ( ~ c0_1(a7)
        & ndr1_0
        & c3_1(a7)
        & c1_1(a7) )
      | ~ hskp4 )
    & ( hskp5
      | ! [X73] :
          ( c0_1(X73)
          | ~ ndr1_0
          | ~ c3_1(X73)
          | c2_1(X73) )
      | ! [X74] :
          ( ~ c0_1(X74)
          | ~ c1_1(X74)
          | ~ ndr1_0
          | c3_1(X74) ) )
    & ( hskp6
      | hskp17
      | ! [X48] :
          ( c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0
          | ~ c3_1(X48) ) )
    & ( ~ hskp23
      | ( c0_1(a42)
        & ~ c3_1(a42)
        & ~ c1_1(a42)
        & ndr1_0 ) )
    & ( ! [X83] :
          ( ~ ndr1_0
          | c2_1(X83)
          | ~ c0_1(X83)
          | ~ c1_1(X83) )
      | hskp3
      | ! [X84] :
          ( c1_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0
          | c0_1(X84) ) )
    & ( ! [X87] :
          ( c2_1(X87)
          | ~ ndr1_0
          | c3_1(X87)
          | ~ c1_1(X87) )
      | ! [X88] :
          ( ~ c0_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0
          | ~ c2_1(X88) )
      | hskp12 )
    & ( ( c2_1(a39)
        & ~ c3_1(a39)
        & ndr1_0
        & ~ c0_1(a39) )
      | ~ hskp21 )
    & ( hskp12
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c2_1(X37)
          | ~ c3_1(X37)
          | ~ c1_1(X37) )
      | hskp2 )
    & ( ! [X3] :
          ( c3_1(X3)
          | c0_1(X3)
          | ~ c1_1(X3)
          | ~ ndr1_0 )
      | hskp8
      | hskp30 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ ndr1_0
          | c2_1(X58)
          | ~ c1_1(X58) )
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c0_1(X59)
          | ~ c3_1(X59)
          | ~ c2_1(X59) )
      | hskp28 )
    & ( ! [X28] :
          ( ~ c3_1(X28)
          | ~ ndr1_0
          | ~ c0_1(X28)
          | ~ c2_1(X28) )
      | ! [X30] :
          ( ~ c3_1(X30)
          | c1_1(X30)
          | ~ c0_1(X30)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c1_1(X29)
          | ~ ndr1_0
          | ~ c3_1(X29)
          | ~ c0_1(X29) ) )
    & ( ! [X89] :
          ( ~ c1_1(X89)
          | c2_1(X89)
          | ~ ndr1_0
          | c0_1(X89) )
      | hskp9
      | hskp0 )
    & ( ( ~ c3_1(a29)
        & ndr1_0
        & ~ c2_1(a29)
        & c1_1(a29) )
      | ~ hskp15 )
    & ( ! [X47] :
          ( ~ c0_1(X47)
          | c1_1(X47)
          | ~ ndr1_0
          | ~ c3_1(X47) )
      | hskp8
      | hskp21 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( ! [X4] :
          ( c0_1(X4)
          | c2_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | hskp30
      | hskp11 )
    & ( ! [X95] :
          ( ~ c0_1(X95)
          | c3_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c2_1(X93)
          | ~ c0_1(X93)
          | c3_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c2_1(X94)
          | c3_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( ~ hskp13
      | ( ~ c0_1(a26)
        & c3_1(a26)
        & ndr1_0
        & ~ c1_1(a26) ) )
    & ( ! [X74] :
          ( ~ c1_1(X74)
          | c3_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 )
      | hskp5 )
    & ( hskp8
      | ! [X16] :
          ( c0_1(X16)
          | ~ c2_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c3_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a52)
        & ~ c0_1(a52)
        & ndr1_0
        & ~ c2_1(a52) )
      | ~ hskp24 )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a4)
        & ~ c1_1(a4)
        & c0_1(a4) ) )
    & ( ( ~ c3_1(a29)
        & ndr1_0
        & ~ c2_1(a29)
        & c1_1(a29) )
      | ~ hskp15 )
    & ( hskp28
      | ! [X80] :
          ( ~ c0_1(X80)
          | ~ c3_1(X80)
          | ~ c2_1(X80)
          | ~ ndr1_0 )
      | hskp31 )
    & ( hskp30
      | ! [X18] :
          ( ~ c1_1(X18)
          | ~ c0_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c1_1(X19)
          | ~ c2_1(X19)
          | c0_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X21] :
          ( ~ c2_1(X21)
          | c1_1(X21)
          | ~ c0_1(X21)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c2_1(X20)
          | c1_1(X20)
          | c0_1(X20)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ~ hskp28
      | ( c2_1(a2)
        & c0_1(a2)
        & c1_1(a2)
        & ndr1_0 ) )
    & ( ! [X58] :
          ( ~ c1_1(X58)
          | c0_1(X58)
          | c2_1(X58)
          | ~ ndr1_0 )
      | hskp28
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c2_1(X59)
          | ~ c0_1(X59)
          | ~ ndr1_0 ) )
    & ( ~ hskp3
      | ( c0_1(a6)
        & ndr1_0
        & ~ c2_1(a6)
        & c3_1(a6) ) )
    & ( ! [X99] :
          ( c2_1(X99)
          | c0_1(X99)
          | ~ c1_1(X99)
          | ~ ndr1_0 )
      | hskp7
      | hskp8 )
    & ( ! [X25] :
          ( ~ c0_1(X25)
          | ~ c3_1(X25)
          | ~ c1_1(X25)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c3_1(X24)
          | ~ c1_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c1_1(X26)
          | c0_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 ) )
    & ( ~ hskp23
      | ( c0_1(a42)
        & ~ c3_1(a42)
        & ~ c1_1(a42)
        & ndr1_0 ) )
    & ( ! [X44] :
          ( ~ c0_1(X44)
          | ~ c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | hskp21
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c0_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 ) )
    & ( ~ hskp7
      | ( c1_1(a12)
        & ~ c3_1(a12)
        & ndr1_0
        & c0_1(a12) ) )
    & ( ! [X83] :
          ( c2_1(X83)
          | ~ c1_1(X83)
          | ~ c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c0_1(X84)
          | c1_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp3 )
    & ( hskp14
      | hskp24
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 ) )
    & ( ! [X85] :
          ( c3_1(X85)
          | ~ c0_1(X85)
          | c2_1(X85)
          | ~ ndr1_0 )
      | hskp24
      | hskp3 )
    & ( ! [X66] :
          ( c3_1(X66)
          | c1_1(X66)
          | c2_1(X66)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c3_1(X68)
          | ~ c2_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c0_1(X67)
          | c1_1(X67)
          | ~ c2_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp2
      | ! [X37] :
          ( ~ c2_1(X37)
          | ~ c3_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 ) )
    & ( ( c0_1(a32)
        & ndr1_0
        & ~ c3_1(a32)
        & c2_1(a32) )
      | ~ hskp17 )
    & ( hskp31
      | hskp24
      | hskp12 )
    & ( ! [X97] :
          ( c1_1(X97)
          | c2_1(X97)
          | ~ c0_1(X97)
          | ~ ndr1_0 )
      | hskp22
      | ! [X98] :
          ( ~ c1_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp2
      | hskp3 )
    & ( hskp10
      | ! [X65] :
          ( ~ c3_1(X65)
          | c0_1(X65)
          | c2_1(X65)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c1_1(X64)
          | ~ c0_1(X64)
          | c3_1(X64)
          | ~ ndr1_0 ) )
    & ( ( ~ c0_1(a40)
        & ~ c2_1(a40)
        & ~ c3_1(a40)
        & ndr1_0 )
      | ~ hskp22 )
    & ( hskp9
      | hskp0
      | ! [X89] :
          ( ~ c1_1(X89)
          | c0_1(X89)
          | c2_1(X89)
          | ~ ndr1_0 ) )
    & ( ( ~ c0_1(a13)
        & c1_1(a13)
        & ndr1_0
        & c2_1(a13) )
      | ~ hskp8 )
    & ( ! [X39] :
          ( c0_1(X39)
          | ~ c2_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c3_1(X40)
          | c0_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c1_1(X38)
          | c3_1(X38)
          | ~ c0_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X34] :
          ( c2_1(X34)
          | ~ c0_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c2_1(X35)
          | ~ c1_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp26
      | ! [X76] :
          ( ~ c1_1(X76)
          | c2_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X47] :
          ( c1_1(X47)
          | ~ c0_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | hskp21 )
    & ( hskp15
      | ! [X52] :
          ( ~ c1_1(X52)
          | ~ c0_1(X52)
          | c2_1(X52)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c2_1(X51)
          | c1_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( c1_1(X57)
          | ~ c2_1(X57)
          | c3_1(X57)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c3_1(X56)
          | c2_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ~ hskp25
      | ( c3_1(a54)
        & ~ c1_1(a54)
        & c0_1(a54)
        & ndr1_0 ) )
    & ( hskp28
      | ! [X0] :
          ( ~ c1_1(X0)
          | c2_1(X0)
          | ~ c3_1(X0)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c2_1(a17)
        & ~ c0_1(a17)
        & c1_1(a17) ) )
    & ( ! [X11] :
          ( c3_1(X11)
          | c1_1(X11)
          | c0_1(X11)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c3_1(X10)
          | ~ c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ~ hskp14
      | ( c2_1(a28)
        & ndr1_0
        & c3_1(a28)
        & ~ c0_1(a28) ) )
    & ( ! [X71] :
          ( c3_1(X71)
          | ~ c1_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c2_1(X72)
          | ~ c1_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 )
      | hskp6 )
    & ( hskp3
      | hskp14
      | ! [X69] :
          ( c3_1(X69)
          | c0_1(X69)
          | ~ c2_1(X69)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( c2_1(X48)
          | ~ c3_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 )
      | hskp17
      | hskp6 )
    & ( ( ndr1_0
        & ~ c1_1(a15)
        & ~ c2_1(a15)
        & ~ c3_1(a15) )
      | ~ hskp9 )
    & ( ! [X49] :
          ( ~ c1_1(X49)
          | c0_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | hskp18
      | hskp17 )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a35)
        & ~ c3_1(a35)
        & ~ c0_1(a35) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c0_1(a5)
        & ~ c1_1(a5)
        & c2_1(a5) ) )
    & ( ( c3_1(a65)
        & ~ c2_1(a65)
        & ~ c1_1(a65)
        & ndr1_0 )
      | ~ hskp27 )
    & ( hskp15
      | hskp13
      | ! [X96] :
          ( ~ c2_1(X96)
          | ~ c3_1(X96)
          | ~ c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X5] :
          ( ~ c2_1(X5)
          | c3_1(X5)
          | c0_1(X5)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X82] :
          ( ~ c3_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | c0_1(X81)
          | c2_1(X81)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X45] :
          ( c1_1(X45)
          | ~ c3_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 )
      | hskp8
      | ! [X46] :
          ( c2_1(X46)
          | c1_1(X46)
          | c3_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp4
      | ! [X75] :
          ( ~ c3_1(X75)
          | c0_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0 ) )
    & ( ! [X79] :
          ( ~ c2_1(X79)
          | ~ c0_1(X79)
          | ~ c1_1(X79)
          | ~ ndr1_0 )
      | hskp9
      | hskp28 )
    & ( hskp28
      | hskp0
      | ! [X36] :
          ( c0_1(X36)
          | c1_1(X36)
          | c2_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( c0_1(X6)
          | c2_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c2_1(X8)
          | c0_1(X8)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | ~ c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X27] :
          ( ~ c0_1(X27)
          | ~ c1_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 )
      | hskp18 )
    & ( hskp3
      | ! [X42] :
          ( ~ c1_1(X42)
          | ~ c3_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c1_1(X41)
          | ~ c2_1(X41)
          | c3_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( c2_1(X23)
          | ~ c3_1(X23)
          | ~ c1_1(X23)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X3] :
          ( ~ c1_1(X3)
          | c3_1(X3)
          | c0_1(X3)
          | ~ ndr1_0 )
      | hskp8
      | hskp30 )
    & ( ( ~ c1_1(a57)
        & ~ c0_1(a57)
        & ~ c3_1(a57)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ! [X61] :
          ( ~ c1_1(X61)
          | ~ c0_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | hskp5
      | ! [X60] :
          ( ~ c3_1(X60)
          | c2_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp6
      | hskp12 )
    & ( ( ~ c0_1(a7)
        & ndr1_0
        & c3_1(a7)
        & c1_1(a7) )
      | ~ hskp4 )
    & ( hskp2
      | ! [X13] :
          ( ~ c0_1(X13)
          | ~ c1_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | hskp0 )
    & ( hskp5
      | ! [X22] :
          ( c0_1(X22)
          | c2_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ( ndr1_0
        & ~ c3_1(a10)
        & c2_1(a10)
        & ~ c1_1(a10) )
      | ~ hskp6 )
    & ( ! [X87] :
          ( c3_1(X87)
          | ~ c1_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c2_1(X88)
          | ~ c0_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ( ~ c1_1(a1)
        & ndr1_0
        & ~ c2_1(a1)
        & c0_1(a1) )
      | ~ hskp0 )
    & ( hskp11
      | ! [X15] :
          ( c0_1(X15)
          | ~ c1_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | hskp19 )
    & ( hskp25
      | ! [X50] :
          ( c2_1(X50)
          | ~ c1_1(X50)
          | c3_1(X50)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X32] :
          ( c1_1(X32)
          | c0_1(X32)
          | c2_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c0_1(X33)
          | ~ c3_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c3_1(X31)
          | c2_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp30
      | hskp7 )
    & ( ~ hskp29
      | ( c2_1(a8)
        & c3_1(a8)
        & c1_1(a8)
        & ndr1_0 ) )
    & ( hskp13
      | ! [X77] :
          ( c2_1(X77)
          | ~ c1_1(X77)
          | c3_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c3_1(X78)
          | ~ c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( ! [X54] :
          ( c0_1(X54)
          | ~ c2_1(X54)
          | c1_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c0_1(X55)
          | ~ c2_1(X55)
          | c3_1(X55)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c1_1(X53)
          | c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( ~ hskp5
      | ( ~ c2_1(a9)
        & ~ c1_1(a9)
        & ~ c0_1(a9)
        & ndr1_0 ) )
    & ( ! [X86] :
          ( ~ c1_1(X86)
          | c3_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 )
      | hskp12 )
    & ( hskp21
      | hskp5
      | hskp24 )
    & ( hskp2
      | ! [X90] :
          ( c1_1(X90)
          | ~ c3_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c3_1(X91)
          | c1_1(X91)
          | ~ c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c2_1(X14)
          | ~ c1_1(X14)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ( c1_1(a24)
        & ndr1_0
        & c3_1(a24)
        & ~ c2_1(a24) )
      | ~ hskp12 )
    & ( hskp7
      | ! [X101] :
          ( c2_1(X101)
          | c0_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c0_1(X100)
          | c3_1(X100)
          | c1_1(X100)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( ~ c3_1(X28)
          | ~ c2_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c1_1(X29)
          | ~ c0_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c1_1(a76)
        & c3_1(a76)
        & c0_1(a76) )
      | ~ hskp31 )
    & ( ( c1_1(a33)
        & c2_1(a33)
        & ~ c3_1(a33)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ~ hskp11
      | ( ~ c3_1(a21)
        & ~ c2_1(a21)
        & c0_1(a21)
        & ndr1_0 ) )
    & ( ! [X12] :
          ( ~ c1_1(X12)
          | ~ c3_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | hskp12
      | hskp26 )
    & ( hskp21
      | ! [X1] :
          ( c3_1(X1)
          | c1_1(X1)
          | c2_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c1_1(X2)
          | ~ c0_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp26
      | hskp27 )
    & ( ( ndr1_0
        & c3_1(a30)
        & c2_1(a30)
        & ~ c1_1(a30) )
      | ~ hskp16 )
    & ( ( c2_1(a39)
        & ~ c3_1(a39)
        & ndr1_0
        & ~ c0_1(a39) )
      | ~ hskp21 )
    & ( ~ hskp30
      | ( c3_1(a20)
        & ndr1_0
        & c0_1(a20)
        & c2_1(a20) ) )
    & ( ! [X92] :
          ( c1_1(X92)
          | ~ c0_1(X92)
          | c2_1(X92)
          | ~ ndr1_0 )
      | hskp30
      | hskp23 )
    & ( ! [X63] :
          ( c3_1(X63)
          | c1_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 )
      | hskp1
      | ! [X62] :
          ( c2_1(X62)
          | c0_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 ) )
    & ( ~ hskp20
      | ( c0_1(a36)
        & ~ c2_1(a36)
        & ndr1_0
        & c1_1(a36) ) )
    & ( hskp19
      | ! [X70] :
          ( ~ c1_1(X70)
          | ~ c3_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | hskp29 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c2_1(X4)
            | ~ c3_1(X4) ) )
      | hskp30
      | hskp11 )
    & ( ! [X95] :
          ( ndr1_0
         => ( ~ c0_1(X95)
            | c3_1(X95)
            | ~ c1_1(X95) ) )
      | ! [X93] :
          ( ndr1_0
         => ( c2_1(X93)
            | ~ c0_1(X93)
            | c3_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( ~ c2_1(X94)
            | c3_1(X94)
            | c0_1(X94) ) ) )
    & ( ~ hskp13
      | ( ~ c0_1(a26)
        & c3_1(a26)
        & ndr1_0
        & ~ c1_1(a26) ) )
    & ( ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | c3_1(X74)
            | ~ c0_1(X74) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | c2_1(X73)
            | c0_1(X73) ) )
      | hskp5 )
    & ( hskp8
      | ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | ~ c2_1(X16)
            | c3_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | c1_1(X17)
            | ~ c2_1(X17) ) ) )
    & ( ( c3_1(a52)
        & ~ c0_1(a52)
        & ndr1_0
        & ~ c2_1(a52) )
      | ~ hskp24 )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a4)
        & ~ c1_1(a4)
        & c0_1(a4) ) )
    & ( ( ~ c3_1(a29)
        & ndr1_0
        & ~ c2_1(a29)
        & c1_1(a29) )
      | ~ hskp15 )
    & ( hskp28
      | ! [X80] :
          ( ndr1_0
         => ( ~ c0_1(X80)
            | ~ c3_1(X80)
            | ~ c2_1(X80) ) )
      | hskp31 )
    & ( hskp30
      | ! [X18] :
          ( ndr1_0
         => ( ~ c1_1(X18)
            | ~ c0_1(X18)
            | c3_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c1_1(X19)
            | ~ c2_1(X19)
            | c0_1(X19) ) ) )
    & ( ! [X21] :
          ( ndr1_0
         => ( ~ c2_1(X21)
            | c1_1(X21)
            | ~ c0_1(X21) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c2_1(X20)
            | c1_1(X20)
            | c0_1(X20) ) )
      | hskp0 )
    & ( ~ hskp28
      | ( c2_1(a2)
        & c0_1(a2)
        & c1_1(a2)
        & ndr1_0 ) )
    & ( ! [X58] :
          ( ndr1_0
         => ( ~ c1_1(X58)
            | c0_1(X58)
            | c2_1(X58) ) )
      | hskp28
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c2_1(X59)
            | ~ c0_1(X59) ) ) )
    & ( ~ hskp3
      | ( c0_1(a6)
        & ndr1_0
        & ~ c2_1(a6)
        & c3_1(a6) ) )
    & ( ! [X99] :
          ( ndr1_0
         => ( c2_1(X99)
            | c0_1(X99)
            | ~ c1_1(X99) ) )
      | hskp7
      | hskp8 )
    & ( ! [X25] :
          ( ndr1_0
         => ( ~ c0_1(X25)
            | ~ c3_1(X25)
            | ~ c1_1(X25) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c3_1(X24)
            | ~ c1_1(X24)
            | ~ c0_1(X24) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c1_1(X26)
            | c0_1(X26)
            | c2_1(X26) ) ) )
    & ( ~ hskp23
      | ( c0_1(a42)
        & ~ c3_1(a42)
        & ~ c1_1(a42)
        & ndr1_0 ) )
    & ( ! [X44] :
          ( ndr1_0
         => ( ~ c0_1(X44)
            | ~ c2_1(X44)
            | ~ c3_1(X44) ) )
      | hskp21
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c0_1(X43)
            | ~ c1_1(X43) ) ) )
    & ( ~ hskp7
      | ( c1_1(a12)
        & ~ c3_1(a12)
        & ndr1_0
        & c0_1(a12) ) )
    & ( ! [X83] :
          ( ndr1_0
         => ( c2_1(X83)
            | ~ c1_1(X83)
            | ~ c0_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( c0_1(X84)
            | c1_1(X84)
            | ~ c3_1(X84) ) )
      | hskp3 )
    & ( hskp14
      | hskp24
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c1_1(X9)
            | ~ c0_1(X9) ) ) )
    & ( ! [X85] :
          ( ndr1_0
         => ( c3_1(X85)
            | ~ c0_1(X85)
            | c2_1(X85) ) )
      | hskp24
      | hskp3 )
    & ( ! [X66] :
          ( ndr1_0
         => ( c3_1(X66)
            | c1_1(X66)
            | c2_1(X66) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | ~ c2_1(X68)
            | ~ c0_1(X68) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c0_1(X67)
            | c1_1(X67)
            | ~ c2_1(X67) ) ) )
    & ( hskp12
      | hskp2
      | ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | ~ c3_1(X37)
            | ~ c1_1(X37) ) ) )
    & ( ( c0_1(a32)
        & ndr1_0
        & ~ c3_1(a32)
        & c2_1(a32) )
      | ~ hskp17 )
    & ( hskp31
      | hskp24
      | hskp12 )
    & ( ! [X97] :
          ( ndr1_0
         => ( c1_1(X97)
            | c2_1(X97)
            | ~ c0_1(X97) ) )
      | hskp22
      | ! [X98] :
          ( ndr1_0
         => ( ~ c1_1(X98)
            | ~ c0_1(X98)
            | ~ c3_1(X98) ) ) )
    & ( hskp13
      | hskp2
      | hskp3 )
    & ( hskp10
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | c0_1(X65)
            | c2_1(X65) ) )
      | ! [X64] :
          ( ndr1_0
         => ( c1_1(X64)
            | ~ c0_1(X64)
            | c3_1(X64) ) ) )
    & ( ( ~ c0_1(a40)
        & ~ c2_1(a40)
        & ~ c3_1(a40)
        & ndr1_0 )
      | ~ hskp22 )
    & ( hskp9
      | hskp0
      | ! [X89] :
          ( ndr1_0
         => ( ~ c1_1(X89)
            | c0_1(X89)
            | c2_1(X89) ) ) )
    & ( ( ~ c0_1(a13)
        & c1_1(a13)
        & ndr1_0
        & c2_1(a13) )
      | ~ hskp8 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | ~ c2_1(X39)
            | ~ c1_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | c0_1(X40)
            | ~ c1_1(X40) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c1_1(X38)
            | c3_1(X38)
            | ~ c0_1(X38) ) ) )
    & ( hskp17
      | ! [X34] :
          ( ndr1_0
         => ( c2_1(X34)
            | ~ c0_1(X34)
            | ~ c3_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c2_1(X35)
            | ~ c1_1(X35)
            | c3_1(X35) ) ) )
    & ( hskp28
      | hskp26
      | ! [X76] :
          ( ndr1_0
         => ( ~ c1_1(X76)
            | c2_1(X76)
            | ~ c0_1(X76) ) ) )
    & ( hskp8
      | ! [X47] :
          ( ndr1_0
         => ( c1_1(X47)
            | ~ c0_1(X47)
            | ~ c3_1(X47) ) )
      | hskp21 )
    & ( hskp15
      | ! [X52] :
          ( ndr1_0
         => ( ~ c1_1(X52)
            | ~ c0_1(X52)
            | c2_1(X52) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | c1_1(X51)
            | ~ c3_1(X51) ) ) )
    & ( ! [X57] :
          ( ndr1_0
         => ( c1_1(X57)
            | ~ c2_1(X57)
            | c3_1(X57) ) )
      | ! [X56] :
          ( ndr1_0
         => ( c3_1(X56)
            | c2_1(X56)
            | ~ c1_1(X56) ) )
      | hskp9 )
    & ( ~ hskp25
      | ( c3_1(a54)
        & ~ c1_1(a54)
        & c0_1(a54)
        & ndr1_0 ) )
    & ( hskp28
      | ! [X0] :
          ( ndr1_0
         => ( ~ c1_1(X0)
            | c2_1(X0)
            | ~ c3_1(X0) ) )
      | hskp7 )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c2_1(a17)
        & ~ c0_1(a17)
        & c1_1(a17) ) )
    & ( ! [X11] :
          ( ndr1_0
         => ( c3_1(X11)
            | c1_1(X11)
            | c0_1(X11) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c3_1(X10)
            | ~ c1_1(X10)
            | c2_1(X10) ) )
      | hskp2 )
    & ( ~ hskp14
      | ( c2_1(a28)
        & ndr1_0
        & c3_1(a28)
        & ~ c0_1(a28) ) )
    & ( ! [X71] :
          ( ndr1_0
         => ( c3_1(X71)
            | ~ c1_1(X71)
            | c0_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c2_1(X72)
            | ~ c1_1(X72)
            | c0_1(X72) ) )
      | hskp6 )
    & ( hskp3
      | hskp14
      | ! [X69] :
          ( ndr1_0
         => ( c3_1(X69)
            | c0_1(X69)
            | ~ c2_1(X69) ) ) )
    & ( ! [X48] :
          ( ndr1_0
         => ( c2_1(X48)
            | ~ c3_1(X48)
            | c1_1(X48) ) )
      | hskp17
      | hskp6 )
    & ( ( ndr1_0
        & ~ c1_1(a15)
        & ~ c2_1(a15)
        & ~ c3_1(a15) )
      | ~ hskp9 )
    & ( ! [X49] :
          ( ndr1_0
         => ( ~ c1_1(X49)
            | c0_1(X49)
            | ~ c2_1(X49) ) )
      | hskp18
      | hskp17 )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a35)
        & ~ c3_1(a35)
        & ~ c0_1(a35) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c0_1(a5)
        & ~ c1_1(a5)
        & c2_1(a5) ) )
    & ( ( c3_1(a65)
        & ~ c2_1(a65)
        & ~ c1_1(a65)
        & ndr1_0 )
      | ~ hskp27 )
    & ( hskp15
      | hskp13
      | ! [X96] :
          ( ndr1_0
         => ( ~ c2_1(X96)
            | ~ c3_1(X96)
            | ~ c0_1(X96) ) ) )
    & ( hskp16
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | c3_1(X5)
            | c0_1(X5) ) )
      | hskp15 )
    & ( ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | c2_1(X82)
            | c0_1(X82) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c3_1(X81)
            | c0_1(X81)
            | c2_1(X81) ) )
      | hskp4 )
    & ( ! [X45] :
          ( ndr1_0
         => ( c1_1(X45)
            | ~ c3_1(X45)
            | ~ c2_1(X45) ) )
      | hskp8
      | ! [X46] :
          ( ndr1_0
         => ( c2_1(X46)
            | c1_1(X46)
            | c3_1(X46) ) ) )
    & ( hskp20
      | hskp4
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | c0_1(X75)
            | ~ c2_1(X75) ) ) )
    & ( ! [X79] :
          ( ndr1_0
         => ( ~ c2_1(X79)
            | ~ c0_1(X79)
            | ~ c1_1(X79) ) )
      | hskp9
      | hskp28 )
    & ( hskp28
      | hskp0
      | ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | c1_1(X36)
            | c2_1(X36) ) ) )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c2_1(X6)
            | ~ c3_1(X6) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c1_1(X8)
            | ~ c2_1(X8)
            | c0_1(X8) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c1_1(X7)
            | ~ c2_1(X7) ) ) )
    & ( hskp27
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | ~ c1_1(X27)
            | ~ c2_1(X27) ) )
      | hskp18 )
    & ( hskp3
      | ! [X42] :
          ( ndr1_0
         => ( ~ c1_1(X42)
            | ~ c3_1(X42)
            | ~ c2_1(X42) ) )
      | ! [X41] :
          ( ndr1_0
         => ( c1_1(X41)
            | ~ c2_1(X41)
            | c3_1(X41) ) ) )
    & ( ! [X23] :
          ( ndr1_0
         => ( c2_1(X23)
            | ~ c3_1(X23)
            | ~ c1_1(X23) ) )
      | hskp16 )
    & ( ! [X3] :
          ( ndr1_0
         => ( ~ c1_1(X3)
            | c3_1(X3)
            | c0_1(X3) ) )
      | hskp8
      | hskp30 )
    & ( ( ~ c1_1(a57)
        & ~ c0_1(a57)
        & ~ c3_1(a57)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ! [X61] :
          ( ndr1_0
         => ( ~ c1_1(X61)
            | ~ c0_1(X61)
            | ~ c3_1(X61) ) )
      | hskp5
      | ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | c2_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp27
      | hskp6
      | hskp12 )
    & ( ( ~ c0_1(a7)
        & ndr1_0
        & c3_1(a7)
        & c1_1(a7) )
      | ~ hskp4 )
    & ( hskp2
      | ! [X13] :
          ( ndr1_0
         => ( ~ c0_1(X13)
            | ~ c1_1(X13)
            | ~ c3_1(X13) ) )
      | hskp0 )
    & ( hskp5
      | ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c2_1(X22)
            | c3_1(X22) ) )
      | hskp29 )
    & ( ( ndr1_0
        & ~ c3_1(a10)
        & c2_1(a10)
        & ~ c1_1(a10) )
      | ~ hskp6 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c3_1(X87)
            | ~ c1_1(X87)
            | c2_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c2_1(X88)
            | ~ c0_1(X88)
            | ~ c3_1(X88) ) )
      | hskp12 )
    & ( ( ~ c1_1(a1)
        & ndr1_0
        & ~ c2_1(a1)
        & c0_1(a1) )
      | ~ hskp0 )
    & ( hskp11
      | ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | ~ c1_1(X15)
            | ~ c3_1(X15) ) )
      | hskp19 )
    & ( hskp25
      | ! [X50] :
          ( ndr1_0
         => ( c2_1(X50)
            | ~ c1_1(X50)
            | c3_1(X50) ) )
      | hskp3 )
    & ( ! [X32] :
          ( ndr1_0
         => ( c1_1(X32)
            | c0_1(X32)
            | c2_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | ~ c3_1(X33)
            | ~ c2_1(X33) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c3_1(X31)
            | c2_1(X31)
            | ~ c1_1(X31) ) ) )
    & ( hskp26
      | hskp30
      | hskp7 )
    & ( ~ hskp29
      | ( c2_1(a8)
        & c3_1(a8)
        & c1_1(a8)
        & ndr1_0 ) )
    & ( hskp13
      | ! [X77] :
          ( ndr1_0
         => ( c2_1(X77)
            | ~ c1_1(X77)
            | c3_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( c3_1(X78)
            | ~ c2_1(X78)
            | c0_1(X78) ) ) )
    & ( ! [X54] :
          ( ndr1_0
         => ( c0_1(X54)
            | ~ c2_1(X54)
            | c1_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c0_1(X55)
            | ~ c2_1(X55)
            | c3_1(X55) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c1_1(X53)
            | c2_1(X53)
            | c0_1(X53) ) ) )
    & ( ~ hskp5
      | ( ~ c2_1(a9)
        & ~ c1_1(a9)
        & ~ c0_1(a9)
        & ndr1_0 ) )
    & ( ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | c3_1(X86)
            | c0_1(X86) ) )
      | hskp12 )
    & ( hskp21
      | hskp5
      | hskp24 )
    & ( hskp2
      | ! [X90] :
          ( ndr1_0
         => ( c1_1(X90)
            | ~ c3_1(X90)
            | ~ c0_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( c3_1(X91)
            | c1_1(X91)
            | ~ c0_1(X91) ) ) )
    & ( hskp9
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | ~ c2_1(X14)
            | ~ c1_1(X14) ) )
      | hskp25 )
    & ( ( c1_1(a24)
        & ndr1_0
        & c3_1(a24)
        & ~ c2_1(a24) )
      | ~ hskp12 )
    & ( hskp7
      | ! [X101] :
          ( ndr1_0
         => ( c2_1(X101)
            | c0_1(X101)
            | ~ c3_1(X101) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c0_1(X100)
            | c3_1(X100)
            | c1_1(X100) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c2_1(X28)
            | ~ c0_1(X28) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | ~ c0_1(X30)
            | c1_1(X30) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c1_1(X29)
            | ~ c0_1(X29)
            | ~ c3_1(X29) ) ) )
    & ( ( ndr1_0
        & c1_1(a76)
        & c3_1(a76)
        & c0_1(a76) )
      | ~ hskp31 )
    & ( ( c1_1(a33)
        & c2_1(a33)
        & ~ c3_1(a33)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ~ hskp11
      | ( ~ c3_1(a21)
        & ~ c2_1(a21)
        & c0_1(a21)
        & ndr1_0 ) )
    & ( ! [X12] :
          ( ndr1_0
         => ( ~ c1_1(X12)
            | ~ c3_1(X12)
            | ~ c0_1(X12) ) )
      | hskp12
      | hskp26 )
    & ( hskp21
      | ! [X1] :
          ( ndr1_0
         => ( c3_1(X1)
            | c1_1(X1)
            | c2_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( ~ c1_1(X2)
            | ~ c0_1(X2)
            | c3_1(X2) ) ) )
    & ( hskp3
      | hskp26
      | hskp27 )
    & ( ( ndr1_0
        & c3_1(a30)
        & c2_1(a30)
        & ~ c1_1(a30) )
      | ~ hskp16 )
    & ( ( c2_1(a39)
        & ~ c3_1(a39)
        & ndr1_0
        & ~ c0_1(a39) )
      | ~ hskp21 )
    & ( ~ hskp30
      | ( c3_1(a20)
        & ndr1_0
        & c0_1(a20)
        & c2_1(a20) ) )
    & ( ! [X92] :
          ( ndr1_0
         => ( c1_1(X92)
            | ~ c0_1(X92)
            | c2_1(X92) ) )
      | hskp30
      | hskp23 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c3_1(X63)
            | c1_1(X63)
            | c0_1(X63) ) )
      | hskp1
      | ! [X62] :
          ( ndr1_0
         => ( c2_1(X62)
            | c0_1(X62)
            | ~ c3_1(X62) ) ) )
    & ( ~ hskp20
      | ( c0_1(a36)
        & ~ c2_1(a36)
        & ndr1_0
        & c1_1(a36) ) )
    & ( hskp19
      | ! [X70] :
          ( ndr1_0
         => ( ~ c1_1(X70)
            | ~ c3_1(X70)
            | ~ c0_1(X70) ) )
      | hskp29 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c2_1(X4)
                | ~ c3_1(X4) ) )
          | hskp30
          | hskp11 )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c0_1(X95)
                | c3_1(X95)
                | ~ c1_1(X95) ) )
          | ! [X93] :
              ( ndr1_0
             => ( c2_1(X93)
                | ~ c0_1(X93)
                | c3_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | c3_1(X94)
                | c0_1(X94) ) ) )
        & ( ~ hskp13
          | ( ~ c0_1(a26)
            & c3_1(a26)
            & ndr1_0
            & ~ c1_1(a26) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | c3_1(X74)
                | ~ c0_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c2_1(X73)
                | c0_1(X73) ) )
          | hskp5 )
        & ( hskp8
          | ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | ~ c2_1(X16)
                | c3_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | c1_1(X17)
                | ~ c2_1(X17) ) ) )
        & ( ( c3_1(a52)
            & ~ c0_1(a52)
            & ndr1_0
            & ~ c2_1(a52) )
          | ~ hskp24 )
        & ( ~ hskp1
          | ( ndr1_0
            & c2_1(a4)
            & ~ c1_1(a4)
            & c0_1(a4) ) )
        & ( ( ~ c3_1(a29)
            & ndr1_0
            & ~ c2_1(a29)
            & c1_1(a29) )
          | ~ hskp15 )
        & ( hskp28
          | ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | ~ c3_1(X80)
                | ~ c2_1(X80) ) )
          | hskp31 )
        & ( hskp30
          | ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | ~ c0_1(X18)
                | c3_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | ~ c2_1(X19)
                | c0_1(X19) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | c1_1(X21)
                | ~ c0_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c2_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) )
          | hskp0 )
        & ( ~ hskp28
          | ( c2_1(a2)
            & c0_1(a2)
            & c1_1(a2)
            & ndr1_0 ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c1_1(X58)
                | c0_1(X58)
                | c2_1(X58) ) )
          | hskp28
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c2_1(X59)
                | ~ c0_1(X59) ) ) )
        & ( ~ hskp3
          | ( c0_1(a6)
            & ndr1_0
            & ~ c2_1(a6)
            & c3_1(a6) ) )
        & ( ! [X99] :
              ( ndr1_0
             => ( c2_1(X99)
                | c0_1(X99)
                | ~ c1_1(X99) ) )
          | hskp7
          | hskp8 )
        & ( ! [X25] :
              ( ndr1_0
             => ( ~ c0_1(X25)
                | ~ c3_1(X25)
                | ~ c1_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | ~ c1_1(X24)
                | ~ c0_1(X24) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | c0_1(X26)
                | c2_1(X26) ) ) )
        & ( ~ hskp23
          | ( c0_1(a42)
            & ~ c3_1(a42)
            & ~ c1_1(a42)
            & ndr1_0 ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | ~ c2_1(X44)
                | ~ c3_1(X44) ) )
          | hskp21
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c0_1(X43)
                | ~ c1_1(X43) ) ) )
        & ( ~ hskp7
          | ( c1_1(a12)
            & ~ c3_1(a12)
            & ndr1_0
            & c0_1(a12) ) )
        & ( ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | ~ c1_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c0_1(X84)
                | c1_1(X84)
                | ~ c3_1(X84) ) )
          | hskp3 )
        & ( hskp14
          | hskp24
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c1_1(X9)
                | ~ c0_1(X9) ) ) )
        & ( ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | ~ c0_1(X85)
                | c2_1(X85) ) )
          | hskp24
          | hskp3 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c3_1(X66)
                | c1_1(X66)
                | c2_1(X66) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c2_1(X68)
                | ~ c0_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c1_1(X67)
                | ~ c2_1(X67) ) ) )
        & ( hskp12
          | hskp2
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c3_1(X37)
                | ~ c1_1(X37) ) ) )
        & ( ( c0_1(a32)
            & ndr1_0
            & ~ c3_1(a32)
            & c2_1(a32) )
          | ~ hskp17 )
        & ( hskp31
          | hskp24
          | hskp12 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c1_1(X97)
                | c2_1(X97)
                | ~ c0_1(X97) ) )
          | hskp22
          | ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | ~ c0_1(X98)
                | ~ c3_1(X98) ) ) )
        & ( hskp13
          | hskp2
          | hskp3 )
        & ( hskp10
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | c0_1(X65)
                | c2_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c1_1(X64)
                | ~ c0_1(X64)
                | c3_1(X64) ) ) )
        & ( ( ~ c0_1(a40)
            & ~ c2_1(a40)
            & ~ c3_1(a40)
            & ndr1_0 )
          | ~ hskp22 )
        & ( hskp9
          | hskp0
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | c0_1(X89)
                | c2_1(X89) ) ) )
        & ( ( ~ c0_1(a13)
            & c1_1(a13)
            & ndr1_0
            & c2_1(a13) )
          | ~ hskp8 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | ~ c2_1(X39)
                | ~ c1_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c0_1(X40)
                | ~ c1_1(X40) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c1_1(X38)
                | c3_1(X38)
                | ~ c0_1(X38) ) ) )
        & ( hskp17
          | ! [X34] :
              ( ndr1_0
             => ( c2_1(X34)
                | ~ c0_1(X34)
                | ~ c3_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | ~ c1_1(X35)
                | c3_1(X35) ) ) )
        & ( hskp28
          | hskp26
          | ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | c2_1(X76)
                | ~ c0_1(X76) ) ) )
        & ( hskp8
          | ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | ~ c0_1(X47)
                | ~ c3_1(X47) ) )
          | hskp21 )
        & ( hskp15
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | ~ c0_1(X52)
                | c2_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | c1_1(X51)
                | ~ c3_1(X51) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | ~ c2_1(X57)
                | c3_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c3_1(X56)
                | c2_1(X56)
                | ~ c1_1(X56) ) )
          | hskp9 )
        & ( ~ hskp25
          | ( c3_1(a54)
            & ~ c1_1(a54)
            & c0_1(a54)
            & ndr1_0 ) )
        & ( hskp28
          | ! [X0] :
              ( ndr1_0
             => ( ~ c1_1(X0)
                | c2_1(X0)
                | ~ c3_1(X0) ) )
          | hskp7 )
        & ( ~ hskp10
          | ( ndr1_0
            & ~ c2_1(a17)
            & ~ c0_1(a17)
            & c1_1(a17) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | ~ c1_1(X10)
                | c2_1(X10) ) )
          | hskp2 )
        & ( ~ hskp14
          | ( c2_1(a28)
            & ndr1_0
            & c3_1(a28)
            & ~ c0_1(a28) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( c3_1(X71)
                | ~ c1_1(X71)
                | c0_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | ~ c1_1(X72)
                | c0_1(X72) ) )
          | hskp6 )
        & ( hskp3
          | hskp14
          | ! [X69] :
              ( ndr1_0
             => ( c3_1(X69)
                | c0_1(X69)
                | ~ c2_1(X69) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( c2_1(X48)
                | ~ c3_1(X48)
                | c1_1(X48) ) )
          | hskp17
          | hskp6 )
        & ( ( ndr1_0
            & ~ c1_1(a15)
            & ~ c2_1(a15)
            & ~ c3_1(a15) )
          | ~ hskp9 )
        & ( ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | c0_1(X49)
                | ~ c2_1(X49) ) )
          | hskp18
          | hskp17 )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a35)
            & ~ c3_1(a35)
            & ~ c0_1(a35) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & ~ c0_1(a5)
            & ~ c1_1(a5)
            & c2_1(a5) ) )
        & ( ( c3_1(a65)
            & ~ c2_1(a65)
            & ~ c1_1(a65)
            & ndr1_0 )
          | ~ hskp27 )
        & ( hskp15
          | hskp13
          | ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | ~ c3_1(X96)
                | ~ c0_1(X96) ) ) )
        & ( hskp16
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | c3_1(X5)
                | c0_1(X5) ) )
          | hskp15 )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c2_1(X82)
                | c0_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | c0_1(X81)
                | c2_1(X81) ) )
          | hskp4 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | ~ c3_1(X45)
                | ~ c2_1(X45) ) )
          | hskp8
          | ! [X46] :
              ( ndr1_0
             => ( c2_1(X46)
                | c1_1(X46)
                | c3_1(X46) ) ) )
        & ( hskp20
          | hskp4
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c0_1(X75)
                | ~ c2_1(X75) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c0_1(X79)
                | ~ c1_1(X79) ) )
          | hskp9
          | hskp28 )
        & ( hskp28
          | hskp0
          | ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c1_1(X36)
                | c2_1(X36) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c2_1(X6)
                | ~ c3_1(X6) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | ~ c2_1(X8)
                | c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c1_1(X7)
                | ~ c2_1(X7) ) ) )
        & ( hskp27
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | ~ c1_1(X27)
                | ~ c2_1(X27) ) )
          | hskp18 )
        & ( hskp3
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | ~ c3_1(X42)
                | ~ c2_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c1_1(X41)
                | ~ c2_1(X41)
                | c3_1(X41) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( c2_1(X23)
                | ~ c3_1(X23)
                | ~ c1_1(X23) ) )
          | hskp16 )
        & ( ! [X3] :
              ( ndr1_0
             => ( ~ c1_1(X3)
                | c3_1(X3)
                | c0_1(X3) ) )
          | hskp8
          | hskp30 )
        & ( ( ~ c1_1(a57)
            & ~ c0_1(a57)
            & ~ c3_1(a57)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | ~ c0_1(X61)
                | ~ c3_1(X61) ) )
          | hskp5
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | c2_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp27
          | hskp6
          | hskp12 )
        & ( ( ~ c0_1(a7)
            & ndr1_0
            & c3_1(a7)
            & c1_1(a7) )
          | ~ hskp4 )
        & ( hskp2
          | ! [X13] :
              ( ndr1_0
             => ( ~ c0_1(X13)
                | ~ c1_1(X13)
                | ~ c3_1(X13) ) )
          | hskp0 )
        & ( hskp5
          | ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c2_1(X22)
                | c3_1(X22) ) )
          | hskp29 )
        & ( ( ndr1_0
            & ~ c3_1(a10)
            & c2_1(a10)
            & ~ c1_1(a10) )
          | ~ hskp6 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | ~ c1_1(X87)
                | c2_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c0_1(X88)
                | ~ c3_1(X88) ) )
          | hskp12 )
        & ( ( ~ c1_1(a1)
            & ndr1_0
            & ~ c2_1(a1)
            & c0_1(a1) )
          | ~ hskp0 )
        & ( hskp11
          | ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | ~ c1_1(X15)
                | ~ c3_1(X15) ) )
          | hskp19 )
        & ( hskp25
          | ! [X50] :
              ( ndr1_0
             => ( c2_1(X50)
                | ~ c1_1(X50)
                | c3_1(X50) ) )
          | hskp3 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c1_1(X32)
                | c0_1(X32)
                | c2_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | ~ c3_1(X33)
                | ~ c2_1(X33) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c2_1(X31)
                | ~ c1_1(X31) ) ) )
        & ( hskp26
          | hskp30
          | hskp7 )
        & ( ~ hskp29
          | ( c2_1(a8)
            & c3_1(a8)
            & c1_1(a8)
            & ndr1_0 ) )
        & ( hskp13
          | ! [X77] :
              ( ndr1_0
             => ( c2_1(X77)
                | ~ c1_1(X77)
                | c3_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c3_1(X78)
                | ~ c2_1(X78)
                | c0_1(X78) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | ~ c2_1(X54)
                | c1_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | ~ c2_1(X55)
                | c3_1(X55) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | c2_1(X53)
                | c0_1(X53) ) ) )
        & ( ~ hskp5
          | ( ~ c2_1(a9)
            & ~ c1_1(a9)
            & ~ c0_1(a9)
            & ndr1_0 ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c3_1(X86)
                | c0_1(X86) ) )
          | hskp12 )
        & ( hskp21
          | hskp5
          | hskp24 )
        & ( hskp2
          | ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | ~ c3_1(X90)
                | ~ c0_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c3_1(X91)
                | c1_1(X91)
                | ~ c0_1(X91) ) ) )
        & ( hskp9
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c2_1(X14)
                | ~ c1_1(X14) ) )
          | hskp25 )
        & ( ( c1_1(a24)
            & ndr1_0
            & c3_1(a24)
            & ~ c2_1(a24) )
          | ~ hskp12 )
        & ( hskp7
          | ! [X101] :
              ( ndr1_0
             => ( c2_1(X101)
                | c0_1(X101)
                | ~ c3_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c0_1(X100)
                | c3_1(X100)
                | c1_1(X100) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c2_1(X28)
                | ~ c0_1(X28) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | ~ c0_1(X30)
                | c1_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | ~ c0_1(X29)
                | ~ c3_1(X29) ) ) )
        & ( ( ndr1_0
            & c1_1(a76)
            & c3_1(a76)
            & c0_1(a76) )
          | ~ hskp31 )
        & ( ( c1_1(a33)
            & c2_1(a33)
            & ~ c3_1(a33)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ~ hskp11
          | ( ~ c3_1(a21)
            & ~ c2_1(a21)
            & c0_1(a21)
            & ndr1_0 ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | ~ c3_1(X12)
                | ~ c0_1(X12) ) )
          | hskp12
          | hskp26 )
        & ( hskp21
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c1_1(X1)
                | c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( ~ c1_1(X2)
                | ~ c0_1(X2)
                | c3_1(X2) ) ) )
        & ( hskp3
          | hskp26
          | hskp27 )
        & ( ( ndr1_0
            & c3_1(a30)
            & c2_1(a30)
            & ~ c1_1(a30) )
          | ~ hskp16 )
        & ( ( c2_1(a39)
            & ~ c3_1(a39)
            & ndr1_0
            & ~ c0_1(a39) )
          | ~ hskp21 )
        & ( ~ hskp30
          | ( c3_1(a20)
            & ndr1_0
            & c0_1(a20)
            & c2_1(a20) ) )
        & ( ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | ~ c0_1(X92)
                | c2_1(X92) ) )
          | hskp30
          | hskp23 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c3_1(X63)
                | c1_1(X63)
                | c0_1(X63) ) )
          | hskp1
          | ! [X62] :
              ( ndr1_0
             => ( c2_1(X62)
                | c0_1(X62)
                | ~ c3_1(X62) ) ) )
        & ( ~ hskp20
          | ( c0_1(a36)
            & ~ c2_1(a36)
            & ndr1_0
            & c1_1(a36) ) )
        & ( hskp19
          | ! [X70] :
              ( ndr1_0
             => ( ~ c1_1(X70)
                | ~ c3_1(X70)
                | ~ c0_1(X70) ) )
          | hskp29 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp3
          | ( c0_1(a6)
            & ndr1_0
            & ~ c2_1(a6)
            & c3_1(a6) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | ~ c3_1(X88)
                | c2_1(X88) ) )
          | hskp28
          | hskp7 )
        & ( hskp21
          | ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | c2_1(X63)
                | c3_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | ~ c0_1(X64)
                | c3_1(X64) ) ) )
        & ( hskp8
          | ! [X39] :
              ( ndr1_0
             => ( c3_1(X39)
                | ~ c1_1(X39)
                | c0_1(X39) ) )
          | hskp30 )
        & ( ~ hskp25
          | ( c3_1(a54)
            & ~ c1_1(a54)
            & c0_1(a54)
            & ndr1_0 ) )
        & ( ~ hskp2
          | ( ndr1_0
            & ~ c0_1(a5)
            & ~ c1_1(a5)
            & c2_1(a5) ) )
        & ( hskp11
          | hskp30
          | ! [X38] :
              ( ndr1_0
             => ( c2_1(X38)
                | ~ c3_1(X38)
                | c0_1(X38) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | c0_1(X49)
                | ~ c2_1(X49) ) )
          | hskp16
          | hskp15 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c2_1(X27)
                | c0_1(X27)
                | ~ c3_1(X27) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | ~ c1_1(X29)
                | ~ c3_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c0_1(X28)
                | ~ c2_1(X28) ) ) )
        & ( hskp14
          | hskp24
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | ~ c3_1(X97)
                | ~ c0_1(X97) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( c2_1(X9)
                | c3_1(X9)
                | ~ c1_1(X9) ) )
          | hskp2
          | ! [X8] :
              ( ndr1_0
             => ( c1_1(X8)
                | c3_1(X8)
                | c0_1(X8) ) ) )
        & ( ~ hskp29
          | ( c2_1(a8)
            & c3_1(a8)
            & c1_1(a8)
            & ndr1_0 ) )
        & ( hskp26
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | ~ c1_1(X96) ) )
          | hskp12 )
        & ( ( ~ c0_1(a7)
            & ndr1_0
            & c3_1(a7)
            & c1_1(a7) )
          | ~ hskp4 )
        & ( hskp13
          | hskp2
          | hskp3 )
        & ( hskp2
          | hskp0
          | ! [X94] :
              ( ndr1_0
             => ( ~ c0_1(X94)
                | ~ c3_1(X94)
                | ~ c1_1(X94) ) ) )
        & ( hskp9
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c1_1(X100)
                | ~ c2_1(X100) ) )
          | hskp25 )
        & ( ~ hskp5
          | ( ~ c2_1(a9)
            & ~ c1_1(a9)
            & ~ c0_1(a9)
            & ndr1_0 ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c1_1(X56)
                | ~ c3_1(X56) ) )
          | hskp11
          | hskp19 )
        & ( hskp8
          | ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c3_1(X41)
                | ~ c2_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c1_1(X42)
                | ~ c2_1(X42)
                | ~ c3_1(X42) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( c3_1(X54)
                | ~ c1_1(X54)
                | ~ c0_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | c0_1(X53)
                | ~ c1_1(X53) ) )
          | hskp30 )
        & ( ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c1_1(X4)
                | ~ c2_1(X4)
                | ~ c0_1(X4) ) )
          | hskp0 )
        & ( ( ndr1_0
            & ~ c1_1(a15)
            & ~ c2_1(a15)
            & ~ c3_1(a15) )
          | ~ hskp9 )
        & ( ~ hskp30
          | ( c3_1(a20)
            & ndr1_0
            & c0_1(a20)
            & c2_1(a20) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( c2_1(X17)
                | c0_1(X17)
                | c3_1(X17) ) )
          | hskp5
          | hskp29 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | ~ c1_1(X89)
                | ~ c3_1(X89) ) )
          | hskp16 )
        & ( ! [X21] :
              ( ndr1_0
             => ( ~ c0_1(X21)
                | c3_1(X21)
                | ~ c1_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c1_1(X22)
                | ~ c0_1(X22) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c2_1(X20)
                | ~ c1_1(X20) ) ) )
        & ( ~ hskp14
          | ( c2_1(a28)
            & ndr1_0
            & c3_1(a28)
            & ~ c0_1(a28) ) )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c0_1(X91)
                | ~ c1_1(X91) ) )
          | hskp18
          | hskp27 )
        & ( hskp31
          | hskp24
          | hskp12 )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | ~ c3_1(X77)
                | ~ c2_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c1_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | c1_1(X75)
                | ~ c3_1(X75) ) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a35)
            & ~ c3_1(a35)
            & ~ c0_1(a35) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c1_1(X2)
                | ~ c3_1(X2)
                | c2_1(X2) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c1_1(X0)
                | c0_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | ~ c3_1(X1)
                | c0_1(X1) ) ) )
        & ( ( ndr1_0
            & c1_1(a76)
            & c3_1(a76)
            & c0_1(a76) )
          | ~ hskp31 )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | ~ c3_1(X86)
                | c2_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | ~ c1_1(X87)
                | ~ c2_1(X87) ) )
          | hskp17 )
        & ( hskp28
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) )
          | hskp0 )
        & ( ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c3_1(X101)
                | ~ c1_1(X101) ) )
          | hskp12
          | hskp2 )
        & ( ( ~ c1_1(a1)
            & ndr1_0
            & ~ c2_1(a1)
            & c0_1(a1) )
          | ~ hskp0 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | ~ c0_1(X52)
                | c1_1(X52) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | ~ c1_1(X50)
                | ~ c2_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | c3_1(X73)
                | c1_1(X73) ) )
          | hskp3
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c2_1(X74)
                | ~ c1_1(X74) ) ) )
        & ( hskp21
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | ~ c0_1(X92)
                | ~ c3_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | ~ c3_1(X93)
                | ~ c0_1(X93) ) ) )
        & ( hskp8
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c3_1(X62)
                | c1_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c2_1(X61)
                | c1_1(X61)
                | c3_1(X61) ) ) )
        & ( ( c3_1(a65)
            & ~ c2_1(a65)
            & ~ c1_1(a65)
            & ndr1_0 )
          | ~ hskp27 )
        & ( hskp21
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c0_1(X78)
                | c1_1(X78) ) )
          | hskp8 )
        & ( ~ hskp10
          | ( ndr1_0
            & ~ c2_1(a17)
            & ~ c0_1(a17)
            & c1_1(a17) ) )
        & ( hskp17
          | ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | ~ c3_1(X68)
                | c2_1(X68) ) )
          | hskp6 )
        & ( hskp18
          | hskp17
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | c0_1(X55)
                | ~ c1_1(X55) ) ) )
        & ( ( c0_1(a32)
            & ndr1_0
            & ~ c3_1(a32)
            & c2_1(a32) )
          | ~ hskp17 )
        & ( hskp25
          | hskp3
          | ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | ~ c1_1(X84)
                | c2_1(X84) ) ) )
        & ( ( c1_1(a24)
            & ndr1_0
            & c3_1(a24)
            & ~ c2_1(a24) )
          | ~ hskp12 )
        & ( hskp15
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c3_1(X79)
                | c1_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | ~ c1_1(X80)
                | c2_1(X80) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | c2_1(X11)
                | c0_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | ~ c2_1(X10) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c3_1(X12)
                | c0_1(X12)
                | ~ c2_1(X12) ) ) )
        & ( ( ~ c1_1(a57)
            & ~ c0_1(a57)
            & ~ c3_1(a57)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ~ hskp23
          | ( c0_1(a42)
            & ~ c3_1(a42)
            & ~ c1_1(a42)
            & ndr1_0 ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | c3_1(X72)
                | ~ c1_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c3_1(X71)
                | c1_1(X71)
                | ~ c2_1(X71) ) )
          | hskp9 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c2_1(X23)
                | ~ c1_1(X23) ) )
          | hskp28
          | ! [X24] :
              ( ndr1_0
             => ( ~ c0_1(X24)
                | ~ c2_1(X24)
                | ~ c3_1(X24) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | ~ c3_1(X36)
                | c2_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | ~ c0_1(X37)
                | ~ c3_1(X37) ) )
          | hskp5 )
        & ( hskp1
          | ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | c0_1(X7)
                | ~ c3_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c2_1(a4)
            & ~ c1_1(a4)
            & c0_1(a4) ) )
        & ( hskp10
          | ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | ~ c3_1(X32)
                | c2_1(X32) ) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | c2_1(X58)
                | c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | c1_1(X59)
                | ~ c2_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c2_1(X60)
                | ~ c0_1(X60) ) ) )
        & ( ( ndr1_0
            & c3_1(a30)
            & c2_1(a30)
            & ~ c1_1(a30) )
          | ~ hskp16 )
        & ( hskp3
          | hskp14
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c0_1(X95)
                | ~ c3_1(X95)
                | ~ c1_1(X95) ) )
          | hskp19
          | hskp29 )
        & ( ( c2_1(a39)
            & ~ c3_1(a39)
            & ndr1_0
            & ~ c0_1(a39) )
          | ~ hskp21 )
        & ( ( c1_1(a33)
            & c2_1(a33)
            & ~ c3_1(a33)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a29)
            & ndr1_0
            & ~ c2_1(a29)
            & c1_1(a29) )
          | ~ hskp15 )
        & ( hskp6
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | ~ c1_1(X19)
                | c3_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | c0_1(X18)
                | c2_1(X18) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) )
          | hskp5
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | ~ c1_1(X35)
                | c3_1(X35) ) ) )
        & ( hskp20
          | ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | ~ c3_1(X57)
                | ~ c2_1(X57) ) )
          | hskp4 )
        & ( hskp28
          | ! [X85] :
              ( ndr1_0
             => ( c2_1(X85)
                | ~ c0_1(X85)
                | ~ c1_1(X85) ) )
          | hskp26 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c2_1(X47)
                | ~ c1_1(X47)
                | c3_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | c3_1(X46)
                | c0_1(X46) ) )
          | hskp13 )
        & ( hskp9
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | ~ c0_1(X90)
                | ~ c1_1(X90) ) )
          | hskp28 )
        & ( hskp3
          | hskp26
          | hskp27 )
        & ( ~ hskp20
          | ( c0_1(a36)
            & ~ c2_1(a36)
            & ndr1_0
            & c1_1(a36) ) )
        & ( ~ hskp7
          | ( c1_1(a12)
            & ~ c3_1(a12)
            & ndr1_0
            & c0_1(a12) ) )
        & ( hskp28
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c0_1(X98)
                | ~ c2_1(X98) ) )
          | hskp31 )
        & ( hskp4
          | ! [X15] :
              ( ndr1_0
             => ( c3_1(X15)
                | c0_1(X15)
                | c2_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | c0_1(X16)
                | c2_1(X16) ) ) )
        & ( ~ hskp13
          | ( ~ c0_1(a26)
            & c3_1(a26)
            & ndr1_0
            & ~ c1_1(a26) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | c2_1(X14)
                | ~ c1_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) )
          | hskp3 )
        & ( ( ~ c0_1(a13)
            & c1_1(a13)
            & ndr1_0
            & c2_1(a13) )
          | ~ hskp8 )
        & ( hskp3
          | ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | ~ c0_1(X81)
                | c2_1(X81) ) )
          | hskp24 )
        & ( hskp12
          | ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c3_1(X40)
                | ~ c1_1(X40) ) ) )
        & ( hskp12
          | ! [X82] :
              ( ndr1_0
             => ( c3_1(X82)
                | c2_1(X82)
                | ~ c1_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | ~ c2_1(X83)
                | ~ c3_1(X83) ) ) )
        & ( hskp0
          | ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | ~ c1_1(X26)
                | c2_1(X26) ) )
          | hskp9 )
        & ( ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c0_1(X70)
                | c1_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c3_1(X69)
                | ~ c0_1(X69)
                | c1_1(X69) ) )
          | hskp2 )
        & ( hskp21
          | hskp5
          | hskp24 )
        & ( hskp23
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c2_1(X67)
                | c1_1(X67) ) )
          | hskp30 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c2_1(X44)
                | ~ c0_1(X44)
                | c3_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | c0_1(X43)
                | ~ c2_1(X43) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c0_1(X45)
                | c3_1(X45)
                | ~ c1_1(X45) ) ) )
        & ( ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | ~ c0_1(X99) ) )
          | hskp15
          | hskp13 )
        & ( ( ndr1_0
            & ~ c3_1(a10)
            & c2_1(a10)
            & ~ c1_1(a10) )
          | ~ hskp6 )
        & ( hskp22
          | ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | c2_1(X65)
                | ~ c0_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | ~ c0_1(X66)
                | ~ c3_1(X66) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( c2_1(X25)
                | ~ c1_1(X25)
                | c0_1(X25) ) )
          | hskp8
          | hskp7 )
        & ( ~ hskp28
          | ( c2_1(a2)
            & c0_1(a2)
            & c1_1(a2)
            & ndr1_0 ) )
        & ( hskp27
          | hskp6
          | hskp12 )
        & ( ~ hskp11
          | ( ~ c3_1(a21)
            & ~ c2_1(a21)
            & c0_1(a21)
            & ndr1_0 ) )
        & ( ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c1_1(X31)
                | c3_1(X31) ) )
          | hskp7
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | c0_1(X30)
                | c2_1(X30) ) ) )
        & ( ( ~ c0_1(a40)
            & ~ c2_1(a40)
            & ~ c3_1(a40)
            & ndr1_0 )
          | ~ hskp22 )
        & ( hskp26
          | hskp30
          | hskp7 )
        & ( ( c3_1(a52)
            & ~ c0_1(a52)
            & ndr1_0
            & ~ c2_1(a52) )
          | ~ hskp24 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( ~ hskp3
        | ( c0_1(a6)
          & ndr1_0
          & ~ c2_1(a6)
          & c3_1(a6) ) )
      & ( ! [X88] :
            ( ndr1_0
           => ( ~ c1_1(X88)
              | ~ c3_1(X88)
              | c2_1(X88) ) )
        | hskp28
        | hskp7 )
      & ( hskp21
        | ! [X63] :
            ( ndr1_0
           => ( c1_1(X63)
              | c2_1(X63)
              | c3_1(X63) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c1_1(X64)
              | ~ c0_1(X64)
              | c3_1(X64) ) ) )
      & ( hskp8
        | ! [X39] :
            ( ndr1_0
           => ( c3_1(X39)
              | ~ c1_1(X39)
              | c0_1(X39) ) )
        | hskp30 )
      & ( ~ hskp25
        | ( c3_1(a54)
          & ~ c1_1(a54)
          & c0_1(a54)
          & ndr1_0 ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ~ c0_1(a5)
          & ~ c1_1(a5)
          & c2_1(a5) ) )
      & ( hskp11
        | hskp30
        | ! [X38] :
            ( ndr1_0
           => ( c2_1(X38)
              | ~ c3_1(X38)
              | c0_1(X38) ) ) )
      & ( ! [X49] :
            ( ndr1_0
           => ( c3_1(X49)
              | c0_1(X49)
              | ~ c2_1(X49) ) )
        | hskp16
        | hskp15 )
      & ( ! [X27] :
            ( ndr1_0
           => ( c2_1(X27)
              | c0_1(X27)
              | ~ c3_1(X27) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c2_1(X29)
              | ~ c1_1(X29)
              | ~ c3_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c0_1(X28)
              | ~ c2_1(X28) ) ) )
      & ( hskp14
        | hskp24
        | ! [X97] :
            ( ndr1_0
           => ( ~ c1_1(X97)
              | ~ c3_1(X97)
              | ~ c0_1(X97) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( c2_1(X9)
              | c3_1(X9)
              | ~ c1_1(X9) ) )
        | hskp2
        | ! [X8] :
            ( ndr1_0
           => ( c1_1(X8)
              | c3_1(X8)
              | c0_1(X8) ) ) )
      & ( ~ hskp29
        | ( c2_1(a8)
          & c3_1(a8)
          & c1_1(a8)
          & ndr1_0 ) )
      & ( hskp26
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c0_1(X96)
              | ~ c1_1(X96) ) )
        | hskp12 )
      & ( ( ~ c0_1(a7)
          & ndr1_0
          & c3_1(a7)
          & c1_1(a7) )
        | ~ hskp4 )
      & ( hskp13
        | hskp2
        | hskp3 )
      & ( hskp2
        | hskp0
        | ! [X94] :
            ( ndr1_0
           => ( ~ c0_1(X94)
              | ~ c3_1(X94)
              | ~ c1_1(X94) ) ) )
      & ( hskp9
        | ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c1_1(X100)
              | ~ c2_1(X100) ) )
        | hskp25 )
      & ( ~ hskp5
        | ( ~ c2_1(a9)
          & ~ c1_1(a9)
          & ~ c0_1(a9)
          & ndr1_0 ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | ~ c1_1(X56)
              | ~ c3_1(X56) ) )
        | hskp11
        | hskp19 )
      & ( hskp8
        | ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c3_1(X41)
              | ~ c2_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c1_1(X42)
              | ~ c2_1(X42)
              | ~ c3_1(X42) ) ) )
      & ( ! [X54] :
            ( ndr1_0
           => ( c3_1(X54)
              | ~ c1_1(X54)
              | ~ c0_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | c0_1(X53)
              | ~ c1_1(X53) ) )
        | hskp30 )
      & ( ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c1_1(X4)
              | ~ c2_1(X4)
              | ~ c0_1(X4) ) )
        | hskp0 )
      & ( ( ndr1_0
          & ~ c1_1(a15)
          & ~ c2_1(a15)
          & ~ c3_1(a15) )
        | ~ hskp9 )
      & ( ~ hskp30
        | ( c3_1(a20)
          & ndr1_0
          & c0_1(a20)
          & c2_1(a20) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( c2_1(X17)
              | c0_1(X17)
              | c3_1(X17) ) )
        | hskp5
        | hskp29 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c2_1(X89)
              | ~ c1_1(X89)
              | ~ c3_1(X89) ) )
        | hskp16 )
      & ( ! [X21] :
            ( ndr1_0
           => ( ~ c0_1(X21)
              | c3_1(X21)
              | ~ c1_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | ~ c1_1(X22)
              | ~ c0_1(X22) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c2_1(X20)
              | ~ c1_1(X20) ) ) )
      & ( ~ hskp14
        | ( c2_1(a28)
          & ndr1_0
          & c3_1(a28)
          & ~ c0_1(a28) ) )
      & ( ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | ~ c0_1(X91)
              | ~ c1_1(X91) ) )
        | hskp18
        | hskp27 )
      & ( hskp31
        | hskp24
        | hskp12 )
      & ( ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | ~ c3_1(X77)
              | ~ c2_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c1_1(X76)
              | ~ c0_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c0_1(X75)
              | c1_1(X75)
              | ~ c3_1(X75) ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a35)
          & ~ c3_1(a35)
          & ~ c0_1(a35) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c1_1(X2)
              | ~ c3_1(X2)
              | c2_1(X2) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c1_1(X0)
              | c0_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | ~ c3_1(X1)
              | c0_1(X1) ) ) )
      & ( ( ndr1_0
          & c1_1(a76)
          & c3_1(a76)
          & c0_1(a76) )
        | ~ hskp31 )
      & ( ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | ~ c3_1(X86)
              | c2_1(X86) ) )
        | ! [X87] :
            ( ndr1_0
           => ( c3_1(X87)
              | ~ c1_1(X87)
              | ~ c2_1(X87) ) )
        | hskp17 )
      & ( hskp28
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) )
        | hskp0 )
      & ( ! [X101] :
            ( ndr1_0
           => ( ~ c2_1(X101)
              | ~ c3_1(X101)
              | ~ c1_1(X101) ) )
        | hskp12
        | hskp2 )
      & ( ( ~ c1_1(a1)
          & ndr1_0
          & ~ c2_1(a1)
          & c0_1(a1) )
        | ~ hskp0 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c3_1(X52)
              | ~ c0_1(X52)
              | c1_1(X52) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | ~ c1_1(X50)
              | ~ c2_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | ~ c1_1(X51)
              | c0_1(X51) ) ) )
      & ( ! [X73] :
            ( ndr1_0
           => ( ~ c2_1(X73)
              | c3_1(X73)
              | c1_1(X73) ) )
        | hskp3
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c2_1(X74)
              | ~ c1_1(X74) ) ) )
      & ( hskp21
        | ! [X92] :
            ( ndr1_0
           => ( ~ c1_1(X92)
              | ~ c0_1(X92)
              | ~ c3_1(X92) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c2_1(X93)
              | ~ c3_1(X93)
              | ~ c0_1(X93) ) ) )
      & ( hskp8
        | ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | ~ c3_1(X62)
              | c1_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c2_1(X61)
              | c1_1(X61)
              | c3_1(X61) ) ) )
      & ( ( c3_1(a65)
          & ~ c2_1(a65)
          & ~ c1_1(a65)
          & ndr1_0 )
        | ~ hskp27 )
      & ( hskp21
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | ~ c0_1(X78)
              | c1_1(X78) ) )
        | hskp8 )
      & ( ~ hskp10
        | ( ndr1_0
          & ~ c2_1(a17)
          & ~ c0_1(a17)
          & c1_1(a17) ) )
      & ( hskp17
        | ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | ~ c3_1(X68)
              | c2_1(X68) ) )
        | hskp6 )
      & ( hskp18
        | hskp17
        | ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | c0_1(X55)
              | ~ c1_1(X55) ) ) )
      & ( ( c0_1(a32)
          & ndr1_0
          & ~ c3_1(a32)
          & c2_1(a32) )
        | ~ hskp17 )
      & ( hskp25
        | hskp3
        | ! [X84] :
            ( ndr1_0
           => ( c3_1(X84)
              | ~ c1_1(X84)
              | c2_1(X84) ) ) )
      & ( ( c1_1(a24)
          & ndr1_0
          & c3_1(a24)
          & ~ c2_1(a24) )
        | ~ hskp12 )
      & ( hskp15
        | ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | ~ c3_1(X79)
              | c1_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c0_1(X80)
              | ~ c1_1(X80)
              | c2_1(X80) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( ~ c1_1(X11)
              | c2_1(X11)
              | c0_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | ~ c2_1(X10) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c3_1(X12)
              | c0_1(X12)
              | ~ c2_1(X12) ) ) )
      & ( ( ~ c1_1(a57)
          & ~ c0_1(a57)
          & ~ c3_1(a57)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ~ hskp23
        | ( c0_1(a42)
          & ~ c3_1(a42)
          & ~ c1_1(a42)
          & ndr1_0 ) )
      & ( ! [X72] :
            ( ndr1_0
           => ( c2_1(X72)
              | c3_1(X72)
              | ~ c1_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( c3_1(X71)
              | c1_1(X71)
              | ~ c2_1(X71) ) )
        | hskp9 )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c2_1(X23)
              | ~ c1_1(X23) ) )
        | hskp28
        | ! [X24] :
            ( ndr1_0
           => ( ~ c0_1(X24)
              | ~ c2_1(X24)
              | ~ c3_1(X24) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | ~ c3_1(X36)
              | c2_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c1_1(X37)
              | ~ c0_1(X37)
              | ~ c3_1(X37) ) )
        | hskp5 )
      & ( hskp1
        | ! [X7] :
            ( ndr1_0
           => ( c2_1(X7)
              | c0_1(X7)
              | ~ c3_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c2_1(a4)
          & ~ c1_1(a4)
          & c0_1(a4) ) )
      & ( hskp10
        | ! [X33] :
            ( ndr1_0
           => ( ~ c0_1(X33)
              | c3_1(X33)
              | c1_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | ~ c3_1(X32)
              | c2_1(X32) ) ) )
      & ( ! [X58] :
            ( ndr1_0
           => ( c1_1(X58)
              | c2_1(X58)
              | c3_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c0_1(X59)
              | c1_1(X59)
              | ~ c2_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | ~ c2_1(X60)
              | ~ c0_1(X60) ) ) )
      & ( ( ndr1_0
          & c3_1(a30)
          & c2_1(a30)
          & ~ c1_1(a30) )
        | ~ hskp16 )
      & ( hskp3
        | hskp14
        | ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | c3_1(X48)
              | c0_1(X48) ) ) )
      & ( ! [X95] :
            ( ndr1_0
           => ( ~ c0_1(X95)
              | ~ c3_1(X95)
              | ~ c1_1(X95) ) )
        | hskp19
        | hskp29 )
      & ( ( c2_1(a39)
          & ~ c3_1(a39)
          & ndr1_0
          & ~ c0_1(a39) )
        | ~ hskp21 )
      & ( ( c1_1(a33)
          & c2_1(a33)
          & ~ c3_1(a33)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a29)
          & ndr1_0
          & ~ c2_1(a29)
          & c1_1(a29) )
        | ~ hskp15 )
      & ( hskp6
        | ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | ~ c1_1(X19)
              | c3_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c1_1(X18)
              | c0_1(X18)
              | c2_1(X18) ) ) )
      & ( ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) )
        | hskp5
        | ! [X35] :
            ( ndr1_0
           => ( ~ c0_1(X35)
              | ~ c1_1(X35)
              | c3_1(X35) ) ) )
      & ( hskp20
        | ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | ~ c3_1(X57)
              | ~ c2_1(X57) ) )
        | hskp4 )
      & ( hskp28
        | ! [X85] :
            ( ndr1_0
           => ( c2_1(X85)
              | ~ c0_1(X85)
              | ~ c1_1(X85) ) )
        | hskp26 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c2_1(X47)
              | ~ c1_1(X47)
              | c3_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c2_1(X46)
              | c3_1(X46)
              | c0_1(X46) ) )
        | hskp13 )
      & ( hskp9
        | ! [X90] :
            ( ndr1_0
           => ( ~ c2_1(X90)
              | ~ c0_1(X90)
              | ~ c1_1(X90) ) )
        | hskp28 )
      & ( hskp3
        | hskp26
        | hskp27 )
      & ( ~ hskp20
        | ( c0_1(a36)
          & ~ c2_1(a36)
          & ndr1_0
          & c1_1(a36) ) )
      & ( ~ hskp7
        | ( c1_1(a12)
          & ~ c3_1(a12)
          & ndr1_0
          & c0_1(a12) ) )
      & ( hskp28
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c0_1(X98)
              | ~ c2_1(X98) ) )
        | hskp31 )
      & ( hskp4
        | ! [X15] :
            ( ndr1_0
           => ( c3_1(X15)
              | c0_1(X15)
              | c2_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | c0_1(X16)
              | c2_1(X16) ) ) )
      & ( ~ hskp13
        | ( ~ c0_1(a26)
          & c3_1(a26)
          & ndr1_0
          & ~ c1_1(a26) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( ~ c0_1(X14)
              | c2_1(X14)
              | ~ c1_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) )
        | hskp3 )
      & ( ( ~ c0_1(a13)
          & c1_1(a13)
          & ndr1_0
          & c2_1(a13) )
        | ~ hskp8 )
      & ( hskp3
        | ! [X81] :
            ( ndr1_0
           => ( c3_1(X81)
              | ~ c0_1(X81)
              | c2_1(X81) ) )
        | hskp24 )
      & ( hskp12
        | ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c3_1(X40)
              | ~ c1_1(X40) ) ) )
      & ( hskp12
        | ! [X82] :
            ( ndr1_0
           => ( c3_1(X82)
              | c2_1(X82)
              | ~ c1_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | ~ c2_1(X83)
              | ~ c3_1(X83) ) ) )
      & ( hskp0
        | ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | ~ c1_1(X26)
              | c2_1(X26) ) )
        | hskp9 )
      & ( ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | ~ c0_1(X70)
              | c1_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( c3_1(X69)
              | ~ c0_1(X69)
              | c1_1(X69) ) )
        | hskp2 )
      & ( hskp21
        | hskp5
        | hskp24 )
      & ( hskp23
        | ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | c2_1(X67)
              | c1_1(X67) ) )
        | hskp30 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c2_1(X44)
              | ~ c0_1(X44)
              | c3_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c3_1(X43)
              | c0_1(X43)
              | ~ c2_1(X43) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c0_1(X45)
              | c3_1(X45)
              | ~ c1_1(X45) ) ) )
      & ( ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c2_1(X99)
              | ~ c0_1(X99) ) )
        | hskp15
        | hskp13 )
      & ( ( ndr1_0
          & ~ c3_1(a10)
          & c2_1(a10)
          & ~ c1_1(a10) )
        | ~ hskp6 )
      & ( hskp22
        | ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | c2_1(X65)
              | ~ c0_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c1_1(X66)
              | ~ c0_1(X66)
              | ~ c3_1(X66) ) ) )
      & ( ! [X25] :
            ( ndr1_0
           => ( c2_1(X25)
              | ~ c1_1(X25)
              | c0_1(X25) ) )
        | hskp8
        | hskp7 )
      & ( ~ hskp28
        | ( c2_1(a2)
          & c0_1(a2)
          & c1_1(a2)
          & ndr1_0 ) )
      & ( hskp27
        | hskp6
        | hskp12 )
      & ( ~ hskp11
        | ( ~ c3_1(a21)
          & ~ c2_1(a21)
          & c0_1(a21)
          & ndr1_0 ) )
      & ( ! [X31] :
            ( ndr1_0
           => ( ~ c0_1(X31)
              | c1_1(X31)
              | c3_1(X31) ) )
        | hskp7
        | ! [X30] :
            ( ndr1_0
           => ( ~ c3_1(X30)
              | c0_1(X30)
              | c2_1(X30) ) ) )
      & ( ( ~ c0_1(a40)
          & ~ c2_1(a40)
          & ~ c3_1(a40)
          & ndr1_0 )
        | ~ hskp22 )
      & ( hskp26
        | hskp30
        | hskp7 )
      & ( ( c3_1(a52)
          & ~ c0_1(a52)
          & ndr1_0
          & ~ c2_1(a52) )
        | ~ hskp24 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f1023,plain,
    ( spl0_157
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f62,f691,f1020]) ).

fof(f691,plain,
    ( spl0_101
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f62,plain,
    ( ~ hskp28
    | c2_1(a2) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1018,plain,
    ( ~ spl0_156
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f79,f420,f1015]) ).

fof(f420,plain,
    ( spl0_45
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f79,plain,
    ( ~ hskp5
    | ~ c0_1(a9) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1013,plain,
    ( ~ spl0_155
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f18,f485,f1010]) ).

fof(f485,plain,
    ( spl0_59
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f18,plain,
    ( ~ hskp21
    | ~ c0_1(a39) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f998,plain,
    ( ~ spl0_55
    | spl0_3 ),
    inference(avatar_split_clause,[],[f71,f244,f465]) ).

fof(f465,plain,
    ( spl0_55
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f244,plain,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f71,plain,
    ( ndr1_0
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f997,plain,
    ( ~ spl0_14
    | spl0_152 ),
    inference(avatar_split_clause,[],[f195,f994,f288]) ).

fof(f288,plain,
    ( spl0_14
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f195,plain,
    ( c0_1(a21)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f992,plain,
    ( spl0_127
    | ~ spl0_3
    | spl0_16
    | spl0_7 ),
    inference(avatar_split_clause,[],[f204,f261,f296,f244,f850]) ).

fof(f204,plain,
    ! [X56,X57,X55] :
      ( ~ c0_1(X56)
      | c0_1(X55)
      | c1_1(X56)
      | ~ c1_1(X55)
      | c3_1(X56)
      | ~ ndr1_0
      | c0_1(X57)
      | ~ c2_1(X57)
      | ~ c3_1(X55)
      | ~ c1_1(X57) ),
    inference(duplicate_literal_removal,[],[f99]) ).

fof(f99,plain,
    ! [X56,X57,X55] :
      ( c0_1(X57)
      | ~ c1_1(X55)
      | ~ ndr1_0
      | ~ c1_1(X57)
      | ~ c3_1(X55)
      | c1_1(X56)
      | c0_1(X55)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c2_1(X57)
      | ~ c0_1(X56)
      | c3_1(X56) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f990,plain,
    ( ~ spl0_151
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f188,f329,f987]) ).

fof(f329,plain,
    ( spl0_24
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f188,plain,
    ( ~ hskp27
    | ~ c2_1(a65) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f985,plain,
    ( ~ spl0_63
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f65,f982,f505]) ).

fof(f505,plain,
    ( spl0_63
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f65,plain,
    ( ~ c2_1(a15)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f980,plain,
    ( ~ spl0_26
    | spl0_3 ),
    inference(avatar_split_clause,[],[f154,f244,f340]) ).

fof(f340,plain,
    ( spl0_26
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f154,plain,
    ( ndr1_0
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f979,plain,
    ( ~ spl0_149
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f98,f237,f976]) ).

fof(f237,plain,
    ( spl0_1
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f98,plain,
    ( ~ hskp22
    | ~ c0_1(a40) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f974,plain,
    ( ~ spl0_29
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f77,f971,f352]) ).

fof(f352,plain,
    ( spl0_29
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f77,plain,
    ( ~ c1_1(a57)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f964,plain,
    ( ~ spl0_73
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f25,f961,f552]) ).

fof(f552,plain,
    ( spl0_73
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f25,plain,
    ( ~ c1_1(a42)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f957,plain,
    ( ~ spl0_14
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f197,f954,f288]) ).

fof(f197,plain,
    ( ~ c3_1(a21)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f952,plain,
    ( ~ spl0_75
    | spl0_144 ),
    inference(avatar_split_clause,[],[f113,f949,f562]) ).

fof(f562,plain,
    ( spl0_75
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f113,plain,
    ( c1_1(a33)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f947,plain,
    ( spl0_143
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f139,f657,f944]) ).

fof(f657,plain,
    ( spl0_94
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f139,plain,
    ( ~ hskp25
    | c3_1(a54) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f942,plain,
    ( spl0_48
    | ~ spl0_3
    | spl0_142
    | spl0_53 ),
    inference(avatar_split_clause,[],[f205,f456,f940,f244,f434]) ).

fof(f205,plain,
    ! [X3,X4,X5] :
      ( ~ c2_1(X3)
      | c1_1(X4)
      | c3_1(X3)
      | ~ c2_1(X4)
      | c0_1(X4)
      | c0_1(X3)
      | ~ ndr1_0
      | c0_1(X5)
      | c2_1(X5)
      | ~ c1_1(X5) ),
    inference(duplicate_literal_removal,[],[f185]) ).

fof(f185,plain,
    ! [X3,X4,X5] :
      ( ~ c2_1(X4)
      | c0_1(X5)
      | ~ ndr1_0
      | c2_1(X5)
      | c0_1(X3)
      | ~ c2_1(X3)
      | ~ c1_1(X5)
      | c3_1(X3)
      | c1_1(X4)
      | c0_1(X4)
      | ~ ndr1_0
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f938,plain,
    ( ~ spl0_141
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f149,f257,f935]) ).

fof(f257,plain,
    ( spl0_6
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f149,plain,
    ( ~ hskp2
    | ~ c1_1(a5) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f933,plain,
    ( ~ spl0_140
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f10,f279,f930]) ).

fof(f279,plain,
    ( spl0_12
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f10,plain,
    ( ~ hskp15
    | ~ c2_1(a29) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f923,plain,
    ( spl0_24
    | spl0_26
    | spl0_29 ),
    inference(avatar_split_clause,[],[f141,f352,f340,f329]) ).

fof(f141,plain,
    ( hskp26
    | hskp3
    | hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f922,plain,
    ( spl0_30
    | spl0_14
    | spl0_11
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f69,f244,f275,f288,f357]) ).

fof(f357,plain,
    ( spl0_30
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f69,plain,
    ! [X68] :
      ( ~ ndr1_0
      | c0_1(X68)
      | hskp11
      | c2_1(X68)
      | ~ c3_1(X68)
      | hskp30 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f920,plain,
    ( ~ spl0_138
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f203,f309,f917]) ).

fof(f309,plain,
    ( spl0_19
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f203,plain,
    ( ~ hskp0
    | ~ c1_1(a1) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f914,plain,
    ( ~ spl0_52
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f190,f911,f452]) ).

fof(f452,plain,
    ( spl0_52
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f190,plain,
    ( ~ c1_1(a30)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f909,plain,
    ( ~ spl0_3
    | spl0_30
    | spl0_70
    | spl0_127 ),
    inference(avatar_split_clause,[],[f207,f850,f537,f357,f244]) ).

fof(f207,plain,
    ! [X14,X13] :
      ( ~ c1_1(X14)
      | ~ c2_1(X14)
      | ~ c0_1(X13)
      | ~ c1_1(X13)
      | c3_1(X13)
      | hskp30
      | c0_1(X14)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f163]) ).

fof(f163,plain,
    ! [X14,X13] :
      ( ~ c1_1(X13)
      | hskp30
      | c0_1(X14)
      | ~ ndr1_0
      | ~ c1_1(X14)
      | ~ c2_1(X14)
      | c3_1(X13)
      | ~ ndr1_0
      | ~ c0_1(X13) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f908,plain,
    ( spl0_11
    | spl0_64
    | ~ spl0_3
    | spl0_127 ),
    inference(avatar_split_clause,[],[f208,f850,f244,f510,f275]) ).

fof(f208,plain,
    ! [X73,X74,X75] :
      ( ~ c2_1(X75)
      | ~ ndr1_0
      | c0_1(X75)
      | ~ c2_1(X74)
      | ~ c3_1(X74)
      | c0_1(X73)
      | ~ c1_1(X75)
      | ~ c3_1(X73)
      | ~ c1_1(X74)
      | c2_1(X73) ),
    inference(duplicate_literal_removal,[],[f44]) ).

fof(f44,plain,
    ! [X73,X74,X75] :
      ( ~ c3_1(X73)
      | c0_1(X75)
      | ~ ndr1_0
      | ~ c3_1(X74)
      | ~ c2_1(X75)
      | c0_1(X73)
      | c2_1(X73)
      | ~ ndr1_0
      | ~ c1_1(X75)
      | ~ c1_1(X74)
      | ~ c2_1(X74)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f907,plain,
    ( spl0_136
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f127,f490,f904]) ).

fof(f490,plain,
    ( spl0_60
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f127,plain,
    ( ~ hskp7
    | c0_1(a12) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f902,plain,
    ( ~ spl0_26
    | spl0_135 ),
    inference(avatar_split_clause,[],[f155,f899,f340]) ).

fof(f155,plain,
    ( c0_1(a6)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f897,plain,
    ( spl0_45
    | spl0_59
    | spl0_23 ),
    inference(avatar_split_clause,[],[f199,f324,f485,f420]) ).

fof(f324,plain,
    ( spl0_23
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f199,plain,
    ( hskp24
    | hskp21
    | hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f890,plain,
    ( ~ spl0_29
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f76,f887,f352]) ).

fof(f76,plain,
    ( ~ c0_1(a57)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f885,plain,
    ( ~ spl0_43
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f103,f882,f410]) ).

fof(f410,plain,
    ( spl0_43
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f103,plain,
    ( ~ c2_1(a24)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f880,plain,
    ( ~ spl0_3
    | spl0_43
    | spl0_32 ),
    inference(avatar_split_clause,[],[f108,f365,f410,f244]) ).

fof(f108,plain,
    ! [X49] :
      ( c0_1(X49)
      | c3_1(X49)
      | hskp12
      | ~ ndr1_0
      | ~ c1_1(X49) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f862,plain,
    ( spl0_12
    | spl0_92
    | ~ spl0_3
    | spl0_38 ),
    inference(avatar_split_clause,[],[f210,f389,f244,f648,f279]) ).

fof(f210,plain,
    ! [X44,X45] :
      ( ~ c1_1(X44)
      | ~ ndr1_0
      | ~ c0_1(X44)
      | ~ c2_1(X45)
      | hskp15
      | c2_1(X44)
      | ~ c3_1(X45)
      | c1_1(X45) ),
    inference(duplicate_literal_removal,[],[f117]) ).

fof(f117,plain,
    ! [X44,X45] :
      ( ~ c0_1(X44)
      | ~ ndr1_0
      | ~ c1_1(X44)
      | hskp15
      | c2_1(X44)
      | ~ ndr1_0
      | c1_1(X45)
      | ~ c2_1(X45)
      | ~ c3_1(X45) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f861,plain,
    ( ~ spl0_30
    | spl0_128 ),
    inference(avatar_split_clause,[],[f50,f858,f357]) ).

fof(f50,plain,
    ( c2_1(a20)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f856,plain,
    ( ~ spl0_3
    | spl0_60
    | spl0_101
    | spl0_97 ),
    inference(avatar_split_clause,[],[f100,f671,f691,f490,f244]) ).

fof(f100,plain,
    ! [X54] :
      ( c2_1(X54)
      | ~ c3_1(X54)
      | hskp28
      | ~ c1_1(X54)
      | hskp7
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f855,plain,
    ( spl0_31
    | spl0_92
    | spl0_53
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f211,f244,f456,f648,f361]) ).

fof(f361,plain,
    ( spl0_31
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f211,plain,
    ! [X28,X27] :
      ( ~ ndr1_0
      | ~ c2_1(X28)
      | ~ c3_1(X27)
      | ~ c2_1(X27)
      | c3_1(X28)
      | c0_1(X28)
      | hskp8
      | c1_1(X27) ),
    inference(duplicate_literal_removal,[],[f142]) ).

fof(f142,plain,
    ! [X28,X27] :
      ( ~ c2_1(X28)
      | ~ ndr1_0
      | c3_1(X28)
      | hskp8
      | c1_1(X27)
      | c0_1(X28)
      | ~ c3_1(X27)
      | ~ c2_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f846,plain,
    ( spl0_126
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f130,f490,f843]) ).

fof(f130,plain,
    ( ~ hskp7
    | c1_1(a12) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f841,plain,
    ( ~ spl0_3
    | spl0_29
    | spl0_38
    | spl0_101 ),
    inference(avatar_split_clause,[],[f144,f691,f389,f352,f244]) ).

fof(f144,plain,
    ! [X25] :
      ( hskp28
      | ~ c0_1(X25)
      | hskp26
      | ~ ndr1_0
      | ~ c1_1(X25)
      | c2_1(X25) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f840,plain,
    ( spl0_125
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f106,f410,f837]) ).

fof(f106,plain,
    ( ~ hskp12
    | c1_1(a24) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f835,plain,
    ( spl0_124
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f51,f357,f832]) ).

fof(f51,plain,
    ( ~ hskp30
    | c0_1(a20) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f830,plain,
    ( spl0_29
    | spl0_30
    | spl0_60 ),
    inference(avatar_split_clause,[],[f126,f490,f357,f352]) ).

fof(f126,plain,
    ( hskp7
    | hskp30
    | hskp26 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f824,plain,
    ( spl0_31
    | ~ spl0_3
    | spl0_8
    | spl0_59 ),
    inference(avatar_split_clause,[],[f8,f485,f264,f244,f361]) ).

fof(f8,plain,
    ! [X101] :
      ( hskp21
      | ~ c3_1(X101)
      | c1_1(X101)
      | ~ ndr1_0
      | hskp8
      | ~ c0_1(X101) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f823,plain,
    ( spl0_24
    | spl0_43
    | spl0_49 ),
    inference(avatar_split_clause,[],[f124,f437,f410,f329]) ).

fof(f124,plain,
    ( hskp6
    | hskp12
    | hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f821,plain,
    ( spl0_43
    | ~ spl0_3
    | spl0_29
    | spl0_2 ),
    inference(avatar_split_clause,[],[f38,f241,f352,f244,f410]) ).

fof(f38,plain,
    ! [X85] :
      ( ~ c1_1(X85)
      | ~ c0_1(X85)
      | ~ c3_1(X85)
      | hskp26
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f820,plain,
    ( spl0_101
    | spl0_42
    | spl0_77
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f115,f244,f571,f406,f691]) ).

fof(f406,plain,
    ( spl0_42
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f115,plain,
    ! [X47] :
      ( ~ ndr1_0
      | ~ c0_1(X47)
      | ~ c2_1(X47)
      | hskp31
      | ~ c3_1(X47)
      | hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f819,plain,
    ( spl0_122
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f60,f691,f816]) ).

fof(f60,plain,
    ( ~ hskp28
    | c1_1(a2) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f813,plain,
    ( ~ spl0_121
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f168,f361,f810]) ).

fof(f168,plain,
    ( ~ hskp8
    | ~ c0_1(a13) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f808,plain,
    ( spl0_120
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f191,f452,f805]) ).

fof(f191,plain,
    ( ~ hskp16
    | c2_1(a30) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f802,plain,
    ( spl0_119
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f56,f628,f799]) ).

fof(f628,plain,
    ( spl0_88
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f56,plain,
    ( ~ hskp14
    | c3_1(a28) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f794,plain,
    ( spl0_118
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f152,f340,f791]) ).

fof(f152,plain,
    ( ~ hskp3
    | c3_1(a6) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f789,plain,
    ( ~ spl0_117
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f153,f340,f786]) ).

fof(f153,plain,
    ( ~ hskp3
    | ~ c2_1(a6) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f783,plain,
    ( ~ spl0_59
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f20,f780,f485]) ).

fof(f20,plain,
    ( ~ c3_1(a39)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f778,plain,
    ( spl0_70
    | spl0_2
    | ~ spl0_3
    | spl0_48 ),
    inference(avatar_split_clause,[],[f214,f434,f244,f241,f537]) ).

fof(f214,plain,
    ! [X78,X76,X77] :
      ( ~ c1_1(X78)
      | ~ ndr1_0
      | ~ c3_1(X77)
      | ~ c1_1(X77)
      | ~ c0_1(X77)
      | c0_1(X78)
      | ~ c0_1(X76)
      | c2_1(X78)
      | ~ c1_1(X76)
      | c3_1(X76) ),
    inference(duplicate_literal_removal,[],[f43]) ).

fof(f43,plain,
    ! [X78,X76,X77] :
      ( ~ c0_1(X77)
      | ~ ndr1_0
      | ~ c3_1(X77)
      | ~ ndr1_0
      | c3_1(X76)
      | ~ c1_1(X77)
      | ~ ndr1_0
      | ~ c1_1(X78)
      | c0_1(X78)
      | ~ c0_1(X76)
      | c2_1(X78)
      | ~ c1_1(X76) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f777,plain,
    ( ~ spl0_94
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f138,f774,f657]) ).

fof(f138,plain,
    ( ~ c1_1(a54)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f767,plain,
    ( spl0_113
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f82,f300,f764]) ).

fof(f300,plain,
    ( spl0_17
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f82,plain,
    ( ~ hskp1
    | c0_1(a4) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f762,plain,
    ( spl0_112
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f61,f691,f759]) ).

fof(f61,plain,
    ( ~ hskp28
    | c0_1(a2) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f757,plain,
    ( spl0_111
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f137,f657,f754]) ).

fof(f137,plain,
    ( ~ hskp25
    | c0_1(a54) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f751,plain,
    ( spl0_110
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f86,f406,f748]) ).

fof(f86,plain,
    ( ~ hskp31
    | c0_1(a76) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f746,plain,
    ( spl0_109
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f27,f552,f743]) ).

fof(f27,plain,
    ( ~ hskp23
    | c0_1(a42) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f741,plain,
    ( spl0_108
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f192,f452,f738]) ).

fof(f192,plain,
    ( ~ hskp16
    | c3_1(a30) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f736,plain,
    ( spl0_64
    | spl0_94
    | ~ spl0_3
    | spl0_63 ),
    inference(avatar_split_clause,[],[f184,f505,f244,f657,f510]) ).

fof(f184,plain,
    ! [X6] :
      ( hskp9
      | ~ ndr1_0
      | hskp25
      | ~ c1_1(X6)
      | ~ c3_1(X6)
      | ~ c2_1(X6) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f730,plain,
    ( spl0_59
    | ~ spl0_3
    | spl0_77
    | spl0_2 ),
    inference(avatar_split_clause,[],[f215,f241,f571,f244,f485]) ).

fof(f215,plain,
    ! [X36,X37] :
      ( ~ c3_1(X36)
      | ~ c0_1(X37)
      | ~ ndr1_0
      | ~ c1_1(X36)
      | ~ c2_1(X37)
      | hskp21
      | ~ c0_1(X36)
      | ~ c3_1(X37) ),
    inference(duplicate_literal_removal,[],[f132]) ).

fof(f132,plain,
    ! [X36,X37] :
      ( ~ c1_1(X36)
      | ~ c2_1(X37)
      | hskp21
      | ~ c0_1(X37)
      | ~ ndr1_0
      | ~ c3_1(X36)
      | ~ ndr1_0
      | ~ c3_1(X37)
      | ~ c0_1(X36) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f729,plain,
    ( spl0_23
    | spl0_88
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f109,f241,f244,f628,f324]) ).

fof(f109,plain,
    ! [X48] :
      ( ~ c0_1(X48)
      | ~ ndr1_0
      | ~ c3_1(X48)
      | hskp14
      | ~ c1_1(X48)
      | hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f722,plain,
    ( ~ spl0_3
    | spl0_97
    | spl0_52 ),
    inference(avatar_split_clause,[],[f173,f452,f671,f244]) ).

fof(f173,plain,
    ! [X11] :
      ( hskp16
      | ~ c3_1(X11)
      | c2_1(X11)
      | ~ ndr1_0
      | ~ c1_1(X11) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f720,plain,
    ( ~ spl0_3
    | spl0_73
    | spl0_30
    | spl0_4 ),
    inference(avatar_split_clause,[],[f134,f248,f357,f552,f244]) ).

fof(f134,plain,
    ! [X33] :
      ( c1_1(X33)
      | hskp30
      | c2_1(X33)
      | ~ c0_1(X33)
      | hskp23
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f719,plain,
    ( spl0_70
    | spl0_53
    | ~ spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f216,f344,f244,f456,f537]) ).

fof(f216,plain,
    ! [X62,X60,X61] :
      ( c2_1(X62)
      | ~ ndr1_0
      | ~ c2_1(X60)
      | ~ c0_1(X61)
      | c3_1(X60)
      | ~ c1_1(X61)
      | c3_1(X61)
      | c0_1(X60)
      | ~ c0_1(X62)
      | c3_1(X62) ),
    inference(duplicate_literal_removal,[],[f93]) ).

fof(f93,plain,
    ! [X62,X60,X61] :
      ( c3_1(X61)
      | ~ c1_1(X61)
      | c3_1(X62)
      | c3_1(X60)
      | ~ ndr1_0
      | ~ c0_1(X62)
      | ~ ndr1_0
      | c0_1(X60)
      | ~ c0_1(X61)
      | ~ ndr1_0
      | c2_1(X62)
      | ~ c2_1(X60) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f718,plain,
    ( ~ spl0_75
    | spl0_105 ),
    inference(avatar_split_clause,[],[f112,f715,f562]) ).

fof(f112,plain,
    ( c2_1(a33)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f711,plain,
    ( spl0_26
    | ~ spl0_3
    | spl0_104
    | spl0_64 ),
    inference(avatar_split_clause,[],[f217,f510,f709,f244,f340]) ).

fof(f217,plain,
    ! [X63,X64] :
      ( ~ c1_1(X63)
      | ~ c3_1(X63)
      | c1_1(X64)
      | ~ c2_1(X64)
      | ~ ndr1_0
      | ~ c2_1(X63)
      | hskp3
      | c3_1(X64) ),
    inference(duplicate_literal_removal,[],[f92]) ).

fof(f92,plain,
    ! [X63,X64] :
      ( ~ c1_1(X63)
      | hskp3
      | ~ ndr1_0
      | ~ c2_1(X63)
      | ~ c2_1(X64)
      | c3_1(X64)
      | ~ ndr1_0
      | ~ c3_1(X63)
      | c1_1(X64) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f707,plain,
    ( spl0_19
    | ~ spl0_3
    | spl0_20
    | spl0_101 ),
    inference(avatar_split_clause,[],[f162,f691,f313,f244,f309]) ).

fof(f162,plain,
    ! [X15] :
      ( hskp28
      | c2_1(X15)
      | c0_1(X15)
      | c1_1(X15)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f706,plain,
    ( ~ spl0_103
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f169,f324,f703]) ).

fof(f169,plain,
    ( ~ hskp24
    | ~ c2_1(a52) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f701,plain,
    ( spl0_7
    | spl0_60
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f218,f275,f244,f490,f261]) ).

fof(f218,plain,
    ! [X10,X9] :
      ( c0_1(X9)
      | ~ ndr1_0
      | hskp7
      | c3_1(X10)
      | c2_1(X9)
      | c1_1(X10)
      | ~ c0_1(X10)
      | ~ c3_1(X9) ),
    inference(duplicate_literal_removal,[],[f174]) ).

fof(f174,plain,
    ! [X10,X9] :
      ( hskp7
      | c2_1(X9)
      | c3_1(X10)
      | c1_1(X10)
      | ~ c3_1(X9)
      | c0_1(X9)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c0_1(X10) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f689,plain,
    ( ~ spl0_100
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f80,f420,f686]) ).

fof(f80,plain,
    ( ~ hskp5
    | ~ c1_1(a9) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f678,plain,
    ( spl0_98
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f172,f324,f675]) ).

fof(f172,plain,
    ( ~ hskp24
    | c3_1(a52) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f673,plain,
    ( ~ spl0_3
    | spl0_20
    | spl0_96
    | spl0_97 ),
    inference(avatar_split_clause,[],[f221,f671,f668,f313,f244]) ).

fof(f221,plain,
    ! [X2,X0,X1] :
      ( ~ c1_1(X2)
      | c0_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c2_1(X0)
      | c2_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X2)
      | c0_1(X1) ),
    inference(duplicate_literal_removal,[],[f198]) ).

fof(f198,plain,
    ! [X2,X0,X1] :
      ( c0_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c3_1(X2)
      | c0_1(X0)
      | c2_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f655,plain,
    ( ~ spl0_19
    | spl0_93 ),
    inference(avatar_split_clause,[],[f200,f652,f309]) ).

fof(f200,plain,
    ( c0_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f640,plain,
    ( ~ spl0_88
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f55,f637,f628]) ).

fof(f55,plain,
    ( ~ c0_1(a28)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f635,plain,
    ( ~ spl0_88
    | spl0_89 ),
    inference(avatar_split_clause,[],[f58,f632,f628]) ).

fof(f58,plain,
    ( c2_1(a28)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f626,plain,
    ( ~ spl0_87
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f129,f490,f623]) ).

fof(f129,plain,
    ( ~ hskp7
    | ~ c3_1(a12) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f607,plain,
    ( ~ spl0_59
    | spl0_83 ),
    inference(avatar_split_clause,[],[f21,f604,f485]) ).

fof(f21,plain,
    ( c2_1(a39)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f602,plain,
    ( spl0_75
    | spl0_24
    | ~ spl0_3
    | spl0_82 ),
    inference(avatar_split_clause,[],[f68,f600,f244,f329,f562]) ).

fof(f68,plain,
    ! [X69] :
      ( ~ c0_1(X69)
      | ~ c2_1(X69)
      | ~ ndr1_0
      | hskp27
      | ~ c1_1(X69)
      | hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f598,plain,
    ( ~ spl0_31
    | spl0_81 ),
    inference(avatar_split_clause,[],[f165,f595,f361]) ).

fof(f165,plain,
    ( c2_1(a13)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f592,plain,
    ( ~ spl0_3
    | spl0_45
    | spl0_2
    | spl0_11 ),
    inference(avatar_split_clause,[],[f224,f275,f241,f420,f244]) ).

fof(f224,plain,
    ! [X58,X59] :
      ( c0_1(X58)
      | c2_1(X58)
      | ~ c0_1(X59)
      | hskp5
      | ~ c3_1(X58)
      | ~ c1_1(X59)
      | ~ c3_1(X59)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f94]) ).

fof(f94,plain,
    ! [X58,X59] :
      ( ~ c3_1(X59)
      | ~ ndr1_0
      | c0_1(X58)
      | ~ c0_1(X59)
      | ~ c1_1(X59)
      | ~ c3_1(X58)
      | c2_1(X58)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f591,plain,
    ( spl0_80
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f53,f357,f588]) ).

fof(f53,plain,
    ( ~ hskp30
    | c3_1(a20) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f586,plain,
    ( ~ spl0_3
    | spl0_45
    | spl0_70
    | spl0_11 ),
    inference(avatar_split_clause,[],[f225,f275,f537,f420,f244]) ).

fof(f225,plain,
    ! [X86,X87] :
      ( ~ c3_1(X86)
      | ~ c0_1(X87)
      | c0_1(X86)
      | c3_1(X87)
      | hskp5
      | ~ c1_1(X87)
      | c2_1(X86)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f29]) ).

fof(f29,plain,
    ! [X86,X87] :
      ( c3_1(X87)
      | ~ ndr1_0
      | ~ c3_1(X86)
      | hskp5
      | c2_1(X86)
      | ~ c1_1(X87)
      | c0_1(X86)
      | ~ c0_1(X87)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f585,plain,
    ( spl0_79
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f121,f292,f582]) ).

fof(f292,plain,
    ( spl0_15
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f121,plain,
    ( ~ hskp19
    | c1_1(a35) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f580,plain,
    ( spl0_78
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f189,f329,f577]) ).

fof(f189,plain,
    ( ~ hskp27
    | c3_1(a65) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f575,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_77
    | spl0_2 ),
    inference(avatar_split_clause,[],[f226,f241,f571,f264,f244]) ).

fof(f226,plain,
    ! [X98,X99,X97] :
      ( ~ c1_1(X99)
      | ~ c3_1(X97)
      | ~ c0_1(X98)
      | ~ c0_1(X99)
      | ~ ndr1_0
      | ~ c0_1(X97)
      | ~ c2_1(X97)
      | ~ c3_1(X98)
      | ~ c3_1(X99)
      | c1_1(X98) ),
    inference(duplicate_literal_removal,[],[f14]) ).

fof(f14,plain,
    ! [X98,X99,X97] :
      ( ~ c0_1(X99)
      | ~ c0_1(X98)
      | ~ ndr1_0
      | ~ c1_1(X99)
      | ~ c3_1(X98)
      | ~ ndr1_0
      | ~ c0_1(X97)
      | c1_1(X98)
      | ~ c2_1(X97)
      | ~ c3_1(X97)
      | ~ ndr1_0
      | ~ c3_1(X99) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f569,plain,
    ( ~ spl0_75
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f111,f566,f562]) ).

fof(f111,plain,
    ( ~ c3_1(a33)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f559,plain,
    ( ~ spl0_73
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f26,f556,f552]) ).

fof(f26,plain,
    ( ~ c3_1(a42)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f550,plain,
    ( ~ spl0_72
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f187,f329,f547]) ).

fof(f187,plain,
    ( ~ hskp27
    | ~ c1_1(a65) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f544,plain,
    ( ~ spl0_49
    | spl0_71 ),
    inference(avatar_split_clause,[],[f180,f541,f437]) ).

fof(f180,plain,
    ( c2_1(a10)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f539,plain,
    ( spl0_59
    | ~ spl0_3
    | spl0_69
    | spl0_70 ),
    inference(avatar_split_clause,[],[f227,f537,f534,f244,f485]) ).

fof(f227,plain,
    ! [X21,X22] :
      ( ~ c1_1(X22)
      | c2_1(X21)
      | c1_1(X21)
      | ~ c0_1(X22)
      | c3_1(X21)
      | ~ ndr1_0
      | c3_1(X22)
      | hskp21 ),
    inference(duplicate_literal_removal,[],[f146]) ).

fof(f146,plain,
    ! [X21,X22] :
      ( ~ c1_1(X22)
      | ~ ndr1_0
      | hskp21
      | c2_1(X21)
      | c3_1(X22)
      | ~ ndr1_0
      | c3_1(X21)
      | c1_1(X21)
      | ~ c0_1(X22) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f532,plain,
    ( ~ spl0_68
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f66,f505,f529]) ).

fof(f66,plain,
    ( ~ hskp9
    | ~ c1_1(a15) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f527,plain,
    ( ~ spl0_12
    | spl0_67 ),
    inference(avatar_split_clause,[],[f9,f524,f279]) ).

fof(f9,plain,
    ( c1_1(a29)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f517,plain,
    ( ~ spl0_43
    | spl0_65 ),
    inference(avatar_split_clause,[],[f104,f514,f410]) ).

fof(f104,plain,
    ( c3_1(a24)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f512,plain,
    ( spl0_43
    | spl0_6
    | ~ spl0_3
    | spl0_64 ),
    inference(avatar_split_clause,[],[f17,f510,f244,f257,f410]) ).

fof(f17,plain,
    ! [X93] :
      ( ~ c2_1(X93)
      | ~ c1_1(X93)
      | ~ ndr1_0
      | ~ c3_1(X93)
      | hskp2
      | hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f503,plain,
    ( spl0_3
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f151,f257,f244]) ).

fof(f151,plain,
    ( ~ hskp2
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f483,plain,
    ( ~ spl0_58
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f120,f292,f480]) ).

fof(f120,plain,
    ( ~ hskp19
    | ~ c3_1(a35) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f473,plain,
    ( ~ spl0_56
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f181,f437,f470]) ).

fof(f181,plain,
    ( ~ hskp6
    | ~ c3_1(a10) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f468,plain,
    ( spl0_26
    | spl0_6
    | spl0_55 ),
    inference(avatar_split_clause,[],[f114,f465,f257,f340]) ).

fof(f114,plain,
    ( hskp13
    | hskp2
    | hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f463,plain,
    ( ~ spl0_14
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f196,f460,f288]) ).

fof(f196,plain,
    ( ~ c2_1(a21)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f458,plain,
    ( spl0_12
    | spl0_52
    | ~ spl0_3
    | spl0_53 ),
    inference(avatar_split_clause,[],[f118,f456,f244,f452,f279]) ).

fof(f118,plain,
    ! [X43] :
      ( c3_1(X43)
      | ~ c2_1(X43)
      | ~ ndr1_0
      | hskp16
      | hskp15
      | c0_1(X43) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f445,plain,
    ( spl0_50
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f88,f406,f442]) ).

fof(f88,plain,
    ( ~ hskp31
    | c1_1(a76) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f440,plain,
    ( spl0_32
    | spl0_48
    | spl0_49
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f228,f244,f437,f434,f365]) ).

fof(f228,plain,
    ! [X34,X35] :
      ( ~ ndr1_0
      | hskp6
      | ~ c1_1(X35)
      | c0_1(X34)
      | ~ c1_1(X34)
      | c3_1(X34)
      | c0_1(X35)
      | c2_1(X35) ),
    inference(duplicate_literal_removal,[],[f133]) ).

fof(f133,plain,
    ! [X34,X35] :
      ( ~ ndr1_0
      | hskp6
      | c0_1(X34)
      | ~ c1_1(X34)
      | c0_1(X35)
      | c3_1(X34)
      | ~ c1_1(X35)
      | c2_1(X35)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f432,plain,
    ( ~ spl0_42
    | spl0_47 ),
    inference(avatar_split_clause,[],[f87,f429,f406]) ).

fof(f87,plain,
    ( c3_1(a76)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f427,plain,
    ( ~ spl0_45
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f81,f424,f420]) ).

fof(f81,plain,
    ( ~ c2_1(a9)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f418,plain,
    ( spl0_44
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f148,f257,f415]) ).

fof(f148,plain,
    ( ~ hskp2
    | c2_1(a5) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f413,plain,
    ( spl0_42
    | spl0_23
    | spl0_43 ),
    inference(avatar_split_clause,[],[f45,f410,f324,f406]) ).

fof(f45,plain,
    ( hskp12
    | hskp24
    | hskp31 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f404,plain,
    ( ~ spl0_41
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f119,f292,f401]) ).

fof(f119,plain,
    ( ~ hskp19
    | ~ c0_1(a35) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f399,plain,
    ( ~ spl0_31
    | spl0_40 ),
    inference(avatar_split_clause,[],[f167,f396,f361]) ).

fof(f167,plain,
    ( c1_1(a13)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f394,plain,
    ( spl0_26
    | spl0_38
    | ~ spl0_3
    | spl0_39 ),
    inference(avatar_split_clause,[],[f229,f392,f244,f389,f340]) ).

fof(f229,plain,
    ! [X90,X89] :
      ( c1_1(X90)
      | ~ ndr1_0
      | c2_1(X89)
      | hskp3
      | ~ c1_1(X89)
      | c0_1(X90)
      | ~ c3_1(X90)
      | ~ c0_1(X89) ),
    inference(duplicate_literal_removal,[],[f23]) ).

fof(f23,plain,
    ! [X90,X89] :
      ( hskp3
      | ~ c0_1(X89)
      | c0_1(X90)
      | c2_1(X89)
      | ~ ndr1_0
      | c1_1(X90)
      | ~ c3_1(X90)
      | ~ ndr1_0
      | ~ c1_1(X89) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f387,plain,
    ( ~ spl0_6
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f150,f384,f257]) ).

fof(f150,plain,
    ( ~ c0_1(a5)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f371,plain,
    ( spl0_17
    | spl0_33
    | spl0_11
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f231,f244,f275,f369,f300]) ).

fof(f231,plain,
    ! [X24,X23] :
      ( ~ ndr1_0
      | c2_1(X23)
      | c3_1(X24)
      | hskp1
      | c0_1(X23)
      | c0_1(X24)
      | c1_1(X24)
      | ~ c3_1(X23) ),
    inference(duplicate_literal_removal,[],[f145]) ).

fof(f145,plain,
    ! [X24,X23] :
      ( ~ c3_1(X23)
      | c3_1(X24)
      | ~ ndr1_0
      | c0_1(X23)
      | ~ ndr1_0
      | c2_1(X23)
      | c1_1(X24)
      | hskp1
      | c0_1(X24) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f355,plain,
    ( ~ spl0_28
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f75,f352,f348]) ).

fof(f75,plain,
    ( ~ hskp26
    | ~ c3_1(a57) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f346,plain,
    ( spl0_26
    | spl0_23
    | spl0_27
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f63,f244,f344,f324,f340]) ).

fof(f63,plain,
    ! [X70] :
      ( ~ ndr1_0
      | c3_1(X70)
      | ~ c0_1(X70)
      | c2_1(X70)
      | hskp24
      | hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f337,plain,
    ( ~ spl0_25
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f201,f309,f334]) ).

fof(f201,plain,
    ( ~ hskp0
    | ~ c2_1(a1) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f327,plain,
    ( ~ spl0_22
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f171,f324,f320]) ).

fof(f171,plain,
    ( ~ hskp24
    | ~ c0_1(a52) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f307,plain,
    ( ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f83,f304,f300]) ).

fof(f83,plain,
    ( ~ c1_1(a4)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f298,plain,
    ( spl0_14
    | spl0_15
    | spl0_16
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f143,f244,f296,f292,f288]) ).

fof(f143,plain,
    ! [X26] :
      ( ~ ndr1_0
      | ~ c3_1(X26)
      | c0_1(X26)
      | ~ c1_1(X26)
      | hskp19
      | hskp11 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f286,plain,
    ( ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f12,f283,f279]) ).

fof(f12,plain,
    ( ~ c3_1(a29)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f255,plain,
    ( ~ spl0_1
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f97,f252,f237]) ).

fof(f97,plain,
    ( ~ c2_1(a40)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f250,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f235,f248,f244,f241,f237]) ).

fof(f235,plain,
    ! [X72,X71] :
      ( ~ c0_1(X72)
      | ~ ndr1_0
      | ~ c1_1(X71)
      | c2_1(X72)
      | hskp22
      | c1_1(X72)
      | ~ c0_1(X71)
      | ~ c3_1(X71) ),
    inference(duplicate_literal_removal,[],[f54]) ).

fof(f54,plain,
    ! [X72,X71] :
      ( ~ c1_1(X71)
      | hskp22
      | ~ c0_1(X71)
      | c2_1(X72)
      | ~ ndr1_0
      | ~ c0_1(X72)
      | ~ ndr1_0
      | ~ c3_1(X71)
      | c1_1(X72) ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem    : SYN465+1 : TPTP v8.1.0. Released v2.1.0.
% 0.13/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.37  % Computer : n028.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8042.1875MB
% 0.13/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37  % CPULimit   : 300
% 0.13/0.37  % WCLimit    : 300
% 0.13/0.37  % DateTime   : Tue Aug 30 22:07:49 EDT 2022
% 0.13/0.37  % CPUTime    : 
% 0.21/0.50  % (7765)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.51  % (7775)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.52  % (7766)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53  % (7760)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.53  % (7783)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.27/0.54  Detected maximum model sizes of [32]
% 1.27/0.54  % (7767)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.27/0.54  % (7762)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.27/0.54  % (7773)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.27/0.54  TRYING [1]
% 1.27/0.54  TRYING [2]
% 1.27/0.54  % (7784)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.27/0.55  TRYING [3]
% 1.27/0.55  % (7768)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.27/0.55  % (7776)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.27/0.55  % (7777)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.27/0.55  % (7782)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.27/0.55  % (7785)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.27/0.56  TRYING [4]
% 1.46/0.56  % (7789)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.46/0.56  % (7770)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.46/0.56  Detected maximum model sizes of [32]
% 1.46/0.56  TRYING [1]
% 1.46/0.56  % (7769)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.46/0.56  TRYING [2]
% 1.46/0.56  TRYING [3]
% 1.46/0.56  % (7767)Instruction limit reached!
% 1.46/0.56  % (7767)------------------------------
% 1.46/0.56  % (7767)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.56  % (7767)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.56  % (7767)Termination reason: Unknown
% 1.46/0.56  % (7767)Termination phase: Saturation
% 1.46/0.56  
% 1.46/0.56  % (7767)Memory used [KB]: 6012
% 1.46/0.56  % (7767)Time elapsed: 0.007 s
% 1.46/0.56  % (7767)Instructions burned: 7 (million)
% 1.46/0.56  % (7767)------------------------------
% 1.46/0.56  % (7767)------------------------------
% 1.46/0.56  % (7772)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.46/0.56  % (7774)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.46/0.57  % (7768)Instruction limit reached!
% 1.46/0.57  % (7768)------------------------------
% 1.46/0.57  % (7768)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.57  % (7768)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.57  % (7768)Termination reason: Unknown
% 1.46/0.57  % (7768)Termination phase: Preprocessing 1
% 1.46/0.57  
% 1.46/0.57  % (7768)Memory used [KB]: 1151
% 1.46/0.57  % (7768)Time elapsed: 0.002 s
% 1.46/0.57  % (7768)Instructions burned: 2 (million)
% 1.46/0.57  % (7768)------------------------------
% 1.46/0.57  % (7768)------------------------------
% 1.46/0.57  % (7781)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.46/0.57  % (7761)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.46/0.58  % (7778)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.46/0.58  % (7763)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.46/0.59  % (7764)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.46/0.59  Detected maximum model sizes of [32]
% 1.46/0.59  TRYING [1]
% 1.46/0.59  TRYING [2]
% 1.46/0.59  TRYING [4]
% 1.46/0.60  % (7779)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.46/0.60  % (7766)Instruction limit reached!
% 1.46/0.60  % (7766)------------------------------
% 1.46/0.60  % (7766)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.60  TRYING [3]
% 1.46/0.60  % (7786)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.46/0.60  TRYING [4]
% 1.46/0.60  % (7766)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.60  % (7766)Termination reason: Unknown
% 1.46/0.60  % (7766)Termination phase: Finite model building SAT solving
% 1.46/0.60  
% 1.46/0.60  % (7766)Memory used [KB]: 6268
% 1.46/0.60  % (7766)Time elapsed: 0.163 s
% 1.46/0.60  % (7766)Instructions burned: 52 (million)
% 1.46/0.60  % (7766)------------------------------
% 1.46/0.60  % (7766)------------------------------
% 1.46/0.60  % (7788)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.46/0.61  % (7780)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.46/0.61  % (7765)Instruction limit reached!
% 1.46/0.61  % (7765)------------------------------
% 1.46/0.61  % (7765)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.61  % (7765)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.61  % (7765)Termination reason: Unknown
% 1.46/0.61  % (7765)Termination phase: Saturation
% 1.46/0.61  
% 1.46/0.61  % (7765)Memory used [KB]: 7036
% 1.46/0.61  % (7765)Time elapsed: 0.170 s
% 1.46/0.61  % (7765)Instructions burned: 48 (million)
% 1.46/0.61  % (7765)------------------------------
% 1.46/0.61  % (7765)------------------------------
% 1.46/0.61  % (7771)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.46/0.63  % (7762)Instruction limit reached!
% 1.46/0.63  % (7762)------------------------------
% 1.46/0.63  % (7762)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.63  % (7762)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.63  % (7762)Termination reason: Unknown
% 1.46/0.63  % (7762)Termination phase: Saturation
% 1.46/0.63  
% 1.46/0.63  % (7762)Memory used [KB]: 1535
% 1.46/0.63  % (7762)Time elapsed: 0.198 s
% 1.46/0.63  % (7762)Instructions burned: 38 (million)
% 1.46/0.63  % (7762)------------------------------
% 1.46/0.63  % (7762)------------------------------
% 1.46/0.63  % (7787)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 2.02/0.63  % (7775)Instruction limit reached!
% 2.02/0.63  % (7775)------------------------------
% 2.02/0.63  % (7775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.63  % (7775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.63  % (7775)Termination reason: Unknown
% 2.02/0.63  % (7775)Termination phase: Saturation
% 2.02/0.63  
% 2.02/0.63  % (7775)Memory used [KB]: 1535
% 2.02/0.63  % (7775)Time elapsed: 0.191 s
% 2.02/0.63  % (7775)Instructions burned: 76 (million)
% 2.02/0.63  % (7775)------------------------------
% 2.02/0.63  % (7775)------------------------------
% 2.02/0.63  % (7789)First to succeed.
% 2.02/0.64  % (7761)Refutation not found, incomplete strategy% (7761)------------------------------
% 2.02/0.64  % (7761)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.64  % (7761)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.64  % (7761)Termination reason: Refutation not found, incomplete strategy
% 2.02/0.64  
% 2.02/0.64  % (7761)Memory used [KB]: 6524
% 2.02/0.64  % (7761)Time elapsed: 0.184 s
% 2.02/0.64  % (7761)Instructions burned: 35 (million)
% 2.02/0.64  % (7761)------------------------------
% 2.02/0.64  % (7761)------------------------------
% 2.02/0.64  TRYING [5]
% 2.02/0.65  % (7777)Instruction limit reached!
% 2.02/0.65  % (7777)------------------------------
% 2.02/0.65  % (7777)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.65  % (7777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.65  % (7777)Termination reason: Unknown
% 2.02/0.65  % (7777)Termination phase: Finite model building SAT solving
% 2.02/0.65  
% 2.02/0.65  % (7777)Memory used [KB]: 6396
% 2.02/0.65  % (7777)Time elapsed: 0.150 s
% 2.02/0.65  % (7777)Instructions burned: 60 (million)
% 2.02/0.65  % (7777)------------------------------
% 2.02/0.65  % (7777)------------------------------
% 2.02/0.65  % (7769)Instruction limit reached!
% 2.02/0.65  % (7769)------------------------------
% 2.02/0.65  % (7769)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.65  % (7769)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.65  % (7769)Termination reason: Unknown
% 2.02/0.65  % (7769)Termination phase: Saturation
% 2.02/0.65  
% 2.02/0.65  % (7769)Memory used [KB]: 1535
% 2.02/0.65  % (7769)Time elapsed: 0.196 s
% 2.02/0.65  % (7769)Instructions burned: 51 (million)
% 2.02/0.65  % (7769)------------------------------
% 2.02/0.65  % (7769)------------------------------
% 2.02/0.67  % (7789)Refutation found. Thanks to Tanya!
% 2.02/0.67  % SZS status Theorem for theBenchmark
% 2.02/0.67  % SZS output start Proof for theBenchmark
% See solution above
% 2.02/0.67  % (7789)------------------------------
% 2.02/0.67  % (7789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.67  % (7789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.67  % (7789)Termination reason: Refutation
% 2.02/0.67  
% 2.02/0.67  % (7789)Memory used [KB]: 7164
% 2.02/0.67  % (7789)Time elapsed: 0.202 s
% 2.02/0.67  % (7789)Instructions burned: 37 (million)
% 2.02/0.67  % (7789)------------------------------
% 2.02/0.67  % (7789)------------------------------
% 2.02/0.67  % (7759)Success in time 0.29 s
%------------------------------------------------------------------------------