TSTP Solution File: SYN476-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN476-1 : 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 : n018.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 19:38:20 EDT 2022

% Result   : Unsatisfiable 2.01s 0.63s
% Output   : Refutation 2.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  316
% Syntax   : Number of formulae    :  732 (   1 unt;   0 def)
%            Number of atoms       : 2331 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2767 (1168   ~;1428   |;   0   &)
%                                         ( 171 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  207 ( 206 usr; 203 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   :  145 ( 145   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2248,plain,
    $false,
    inference(avatar_sat_refutation,[],[f209,f238,f252,f269,f283,f294,f303,f312,f321,f330,f339,f346,f355,f367,f376,f387,f400,f404,f417,f426,f431,f436,f445,f455,f460,f461,f466,f484,f490,f495,f497,f507,f511,f517,f518,f523,f532,f537,f542,f543,f544,f555,f565,f570,f576,f577,f582,f587,f592,f597,f602,f607,f615,f617,f618,f623,f625,f637,f644,f645,f646,f651,f657,f662,f684,f689,f694,f699,f701,f702,f713,f717,f722,f727,f728,f733,f739,f740,f745,f750,f755,f761,f766,f770,f775,f776,f781,f782,f787,f793,f798,f799,f800,f806,f807,f812,f814,f819,f824,f829,f834,f839,f844,f851,f852,f853,f854,f855,f856,f857,f858,f865,f870,f875,f876,f881,f886,f893,f894,f895,f896,f901,f908,f913,f914,f919,f924,f929,f940,f946,f951,f956,f961,f966,f967,f976,f977,f982,f987,f992,f993,f999,f1000,f1005,f1006,f1012,f1018,f1024,f1046,f1051,f1059,f1068,f1069,f1077,f1104,f1109,f1114,f1119,f1126,f1131,f1132,f1135,f1137,f1145,f1167,f1173,f1189,f1203,f1211,f1219,f1220,f1235,f1236,f1245,f1246,f1249,f1283,f1285,f1310,f1327,f1328,f1355,f1374,f1414,f1464,f1513,f1537,f1541,f1620,f1622,f1625,f1653,f1654,f1655,f1656,f1682,f1686,f1688,f1712,f1715,f1720,f1727,f1782,f1784,f1828,f1829,f1839,f1840,f1841,f1885,f1886,f1892,f1893,f1898,f1900,f1904,f1906,f1951,f2010,f2013,f2032,f2033,f2034,f2052,f2059,f2060,f2064,f2074,f2078,f2112,f2126,f2127,f2134,f2186,f2188,f2192,f2244,f2246,f2247]) ).

fof(f2247,plain,
    ( spl0_11
    | ~ spl0_173
    | ~ spl0_38
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2147,f921,f362,f1185,f245]) ).

fof(f245,plain,
    ( spl0_11
  <=> c0_1(a1149) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f1185,plain,
    ( spl0_173
  <=> c1_1(a1149) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f362,plain,
    ( spl0_38
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f921,plain,
    ( spl0_145
  <=> c3_1(a1149) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f2147,plain,
    ( ~ c1_1(a1149)
    | c0_1(a1149)
    | ~ spl0_38
    | ~ spl0_145 ),
    inference(resolution,[],[f363,f923]) ).

fof(f923,plain,
    ( c3_1(a1149)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f921]) ).

fof(f363,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f2246,plain,
    ( ~ spl0_173
    | spl0_11
    | ~ spl0_102
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1789,f763,f672,f245,f1185]) ).

fof(f672,plain,
    ( spl0_102
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f763,plain,
    ( spl0_119
  <=> c2_1(a1149) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1789,plain,
    ( c0_1(a1149)
    | ~ c1_1(a1149)
    | ~ spl0_102
    | ~ spl0_119 ),
    inference(resolution,[],[f673,f765]) ).

fof(f765,plain,
    ( c2_1(a1149)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f763]) ).

fof(f673,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f2244,plain,
    ( spl0_173
    | spl0_11
    | ~ spl0_89
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f2232,f763,f610,f245,f1185]) ).

fof(f610,plain,
    ( spl0_89
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f2232,plain,
    ( c0_1(a1149)
    | c1_1(a1149)
    | ~ spl0_89
    | ~ spl0_119 ),
    inference(resolution,[],[f611,f765]) ).

fof(f611,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f2192,plain,
    ( spl0_124
    | ~ spl0_131
    | ~ spl0_102
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f2191,f730,f672,f831,f790]) ).

fof(f790,plain,
    ( spl0_124
  <=> c0_1(a1099) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f831,plain,
    ( spl0_131
  <=> c1_1(a1099) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f730,plain,
    ( spl0_113
  <=> c2_1(a1099) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f2191,plain,
    ( ~ c1_1(a1099)
    | c0_1(a1099)
    | ~ spl0_102
    | ~ spl0_113 ),
    inference(resolution,[],[f732,f673]) ).

fof(f732,plain,
    ( c2_1(a1099)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f730]) ).

fof(f2188,plain,
    ( ~ spl0_50
    | spl0_111
    | ~ spl0_39
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f2173,f1048,f365,f719,f414]) ).

fof(f414,plain,
    ( spl0_50
  <=> c0_1(a1124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f719,plain,
    ( spl0_111
  <=> c2_1(a1124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f365,plain,
    ( spl0_39
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1048,plain,
    ( spl0_164
  <=> c3_1(a1124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f2173,plain,
    ( c2_1(a1124)
    | ~ c0_1(a1124)
    | ~ spl0_39
    | ~ spl0_164 ),
    inference(resolution,[],[f366,f1050]) ).

fof(f1050,plain,
    ( c3_1(a1124)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1048]) ).

fof(f366,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f2186,plain,
    ( ~ spl0_88
    | spl0_138
    | ~ spl0_39
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f2177,f452,f365,f878,f604]) ).

fof(f604,plain,
    ( spl0_88
  <=> c0_1(a1113) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f878,plain,
    ( spl0_138
  <=> c2_1(a1113) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f452,plain,
    ( spl0_58
  <=> c3_1(a1113) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f2177,plain,
    ( c2_1(a1113)
    | ~ c0_1(a1113)
    | ~ spl0_39
    | ~ spl0_58 ),
    inference(resolution,[],[f366,f454]) ).

fof(f454,plain,
    ( c3_1(a1113)
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f2134,plain,
    ( ~ spl0_105
    | ~ spl0_122
    | ~ spl0_69
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2131,f948,f505,f778,f686]) ).

fof(f686,plain,
    ( spl0_105
  <=> c0_1(a1116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f778,plain,
    ( spl0_122
  <=> c3_1(a1116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f505,plain,
    ( spl0_69
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f948,plain,
    ( spl0_150
  <=> c2_1(a1116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f2131,plain,
    ( ~ c3_1(a1116)
    | ~ c0_1(a1116)
    | ~ spl0_69
    | ~ spl0_150 ),
    inference(resolution,[],[f950,f506]) ).

fof(f506,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f950,plain,
    ( c2_1(a1116)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f948]) ).

fof(f2127,plain,
    ( spl0_141
    | spl0_78
    | ~ spl0_34
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f2118,f1009,f344,f552,f898]) ).

fof(f898,plain,
    ( spl0_141
  <=> c3_1(a1147) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f552,plain,
    ( spl0_78
  <=> c2_1(a1147) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f344,plain,
    ( spl0_34
  <=> ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1009,plain,
    ( spl0_160
  <=> c1_1(a1147) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f2118,plain,
    ( c2_1(a1147)
    | c3_1(a1147)
    | ~ spl0_34
    | ~ spl0_160 ),
    inference(resolution,[],[f345,f1011]) ).

fof(f1011,plain,
    ( c1_1(a1147)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1009]) ).

fof(f345,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f2126,plain,
    ( spl0_143
    | spl0_31
    | ~ spl0_34
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f2119,f584,f344,f332,f910]) ).

fof(f910,plain,
    ( spl0_143
  <=> c2_1(a1118) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f332,plain,
    ( spl0_31
  <=> c3_1(a1118) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f584,plain,
    ( spl0_84
  <=> c1_1(a1118) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f2119,plain,
    ( c3_1(a1118)
    | c2_1(a1118)
    | ~ spl0_34
    | ~ spl0_84 ),
    inference(resolution,[],[f345,f586]) ).

fof(f586,plain,
    ( c1_1(a1118)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f584]) ).

fof(f2112,plain,
    ( spl0_156
    | ~ spl0_177
    | ~ spl0_65
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2109,f672,f487,f1254,f984]) ).

fof(f984,plain,
    ( spl0_156
  <=> c0_1(a1114) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f1254,plain,
    ( spl0_177
  <=> c1_1(a1114) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f487,plain,
    ( spl0_65
  <=> c2_1(a1114) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f2109,plain,
    ( ~ c1_1(a1114)
    | c0_1(a1114)
    | ~ spl0_65
    | ~ spl0_102 ),
    inference(resolution,[],[f489,f673]) ).

fof(f489,plain,
    ( c2_1(a1114)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f2078,plain,
    ( ~ spl0_175
    | spl0_114
    | ~ spl0_79
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2077,f672,f557,f736,f1228]) ).

fof(f1228,plain,
    ( spl0_175
  <=> c1_1(a1130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f736,plain,
    ( spl0_114
  <=> c0_1(a1130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f557,plain,
    ( spl0_79
  <=> c2_1(a1130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f2077,plain,
    ( c0_1(a1130)
    | ~ c1_1(a1130)
    | ~ spl0_79
    | ~ spl0_102 ),
    inference(resolution,[],[f558,f673]) ).

fof(f558,plain,
    ( c2_1(a1130)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f2074,plain,
    ( spl0_171
    | ~ spl0_126
    | ~ spl0_102
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f2073,f784,f672,f803,f1164]) ).

fof(f1164,plain,
    ( spl0_171
  <=> c0_1(a1101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f803,plain,
    ( spl0_126
  <=> c1_1(a1101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f784,plain,
    ( spl0_123
  <=> c2_1(a1101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f2073,plain,
    ( ~ c1_1(a1101)
    | c0_1(a1101)
    | ~ spl0_102
    | ~ spl0_123 ),
    inference(resolution,[],[f786,f673]) ).

fof(f786,plain,
    ( c2_1(a1101)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f784]) ).

fof(f2064,plain,
    ( spl0_144
    | spl0_129
    | ~ spl0_22
    | spl0_163 ),
    inference(avatar_split_clause,[],[f1945,f1042,f292,f821,f916]) ).

fof(f916,plain,
    ( spl0_144
  <=> c1_1(a1180) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f821,plain,
    ( spl0_129
  <=> c0_1(a1180) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f292,plain,
    ( spl0_22
  <=> ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f1042,plain,
    ( spl0_163
  <=> c3_1(a1180) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f1945,plain,
    ( c0_1(a1180)
    | c1_1(a1180)
    | ~ spl0_22
    | spl0_163 ),
    inference(resolution,[],[f293,f1043]) ).

fof(f1043,plain,
    ( ~ c3_1(a1180)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f1042]) ).

fof(f293,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f2060,plain,
    ( spl0_158
    | spl0_155
    | ~ spl0_22
    | spl0_161 ),
    inference(avatar_split_clause,[],[f2039,f1015,f292,f979,f996]) ).

fof(f996,plain,
    ( spl0_158
  <=> c0_1(a1172) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f979,plain,
    ( spl0_155
  <=> c1_1(a1172) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1015,plain,
    ( spl0_161
  <=> c3_1(a1172) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f2039,plain,
    ( c1_1(a1172)
    | c0_1(a1172)
    | ~ spl0_22
    | spl0_161 ),
    inference(resolution,[],[f1017,f293]) ).

fof(f1017,plain,
    ( ~ c3_1(a1172)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f1015]) ).

fof(f2059,plain,
    ( ~ spl0_134
    | ~ spl0_43
    | ~ spl0_69
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2054,f1056,f505,f384,f848]) ).

fof(f848,plain,
    ( spl0_134
  <=> c0_1(a1105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f384,plain,
    ( spl0_43
  <=> c3_1(a1105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1056,plain,
    ( spl0_165
  <=> c2_1(a1105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f2054,plain,
    ( ~ c3_1(a1105)
    | ~ c0_1(a1105)
    | ~ spl0_69
    | ~ spl0_165 ),
    inference(resolution,[],[f1058,f506]) ).

fof(f1058,plain,
    ( c2_1(a1105)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1056]) ).

fof(f2052,plain,
    ( spl0_2
    | spl0_172
    | ~ spl0_53
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f2046,f502,f428,f1178,f206]) ).

fof(f206,plain,
    ( spl0_2
  <=> c1_1(a1107) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1178,plain,
    ( spl0_172
  <=> c2_1(a1107) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f428,plain,
    ( spl0_53
  <=> c3_1(a1107) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f502,plain,
    ( spl0_68
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c3_1(X2)
        | c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f2046,plain,
    ( c2_1(a1107)
    | c1_1(a1107)
    | ~ spl0_53
    | ~ spl0_68 ),
    inference(resolution,[],[f503,f430]) ).

fof(f430,plain,
    ( c3_1(a1107)
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f503,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) )
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f2034,plain,
    ( ~ spl0_186
    | ~ spl0_106
    | ~ spl0_24
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2020,f505,f300,f691,f1388]) ).

fof(f1388,plain,
    ( spl0_186
  <=> c3_1(a1111) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f691,plain,
    ( spl0_106
  <=> c0_1(a1111) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f300,plain,
    ( spl0_24
  <=> c2_1(a1111) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f2020,plain,
    ( ~ c0_1(a1111)
    | ~ c3_1(a1111)
    | ~ spl0_24
    | ~ spl0_69 ),
    inference(resolution,[],[f506,f302]) ).

fof(f302,plain,
    ( c2_1(a1111)
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f300]) ).

fof(f2033,plain,
    ( ~ spl0_174
    | ~ spl0_59
    | ~ spl0_69
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2024,f752,f505,f457,f1208]) ).

fof(f1208,plain,
    ( spl0_174
  <=> c3_1(a1125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f457,plain,
    ( spl0_59
  <=> c0_1(a1125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f752,plain,
    ( spl0_117
  <=> c2_1(a1125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2024,plain,
    ( ~ c0_1(a1125)
    | ~ c3_1(a1125)
    | ~ spl0_69
    | ~ spl0_117 ),
    inference(resolution,[],[f506,f754]) ).

fof(f754,plain,
    ( c2_1(a1125)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f752]) ).

fof(f2032,plain,
    ( ~ spl0_180
    | ~ spl0_104
    | ~ spl0_69
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f2023,f567,f505,f681,f1307]) ).

fof(f1307,plain,
    ( spl0_180
  <=> c0_1(a1145) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f681,plain,
    ( spl0_104
  <=> c3_1(a1145) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f567,plain,
    ( spl0_81
  <=> c2_1(a1145) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f2023,plain,
    ( ~ c3_1(a1145)
    | ~ c0_1(a1145)
    | ~ spl0_69
    | ~ spl0_81 ),
    inference(resolution,[],[f506,f569]) ).

fof(f569,plain,
    ( c2_1(a1145)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f2013,plain,
    ( ~ spl0_157
    | spl0_186
    | ~ spl0_24
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1849,f715,f300,f1388,f989]) ).

fof(f989,plain,
    ( spl0_157
  <=> c1_1(a1111) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f715,plain,
    ( spl0_110
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1849,plain,
    ( c3_1(a1111)
    | ~ c1_1(a1111)
    | ~ spl0_24
    | ~ spl0_110 ),
    inference(resolution,[],[f716,f302]) ).

fof(f716,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f2010,plain,
    ( ~ spl0_145
    | ~ spl0_173
    | ~ spl0_47
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f2002,f763,f402,f1185,f921]) ).

fof(f402,plain,
    ( spl0_47
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f2002,plain,
    ( ~ c1_1(a1149)
    | ~ c3_1(a1149)
    | ~ spl0_47
    | ~ spl0_119 ),
    inference(resolution,[],[f403,f765]) ).

fof(f403,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f1951,plain,
    ( spl0_184
    | spl0_86
    | ~ spl0_22
    | spl0_115 ),
    inference(avatar_split_clause,[],[f1937,f742,f292,f594,f1352]) ).

fof(f1352,plain,
    ( spl0_184
  <=> c0_1(a1115) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f594,plain,
    ( spl0_86
  <=> c1_1(a1115) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f742,plain,
    ( spl0_115
  <=> c3_1(a1115) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1937,plain,
    ( c1_1(a1115)
    | c0_1(a1115)
    | ~ spl0_22
    | spl0_115 ),
    inference(resolution,[],[f293,f744]) ).

fof(f744,plain,
    ( ~ c3_1(a1115)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f1906,plain,
    ( spl0_107
    | ~ spl0_30
    | ~ spl0_110
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1852,f1021,f715,f327,f696]) ).

fof(f696,plain,
    ( spl0_107
  <=> c3_1(a1131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f327,plain,
    ( spl0_30
  <=> c1_1(a1131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1021,plain,
    ( spl0_162
  <=> c2_1(a1131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f1852,plain,
    ( ~ c1_1(a1131)
    | c3_1(a1131)
    | ~ spl0_110
    | ~ spl0_162 ),
    inference(resolution,[],[f716,f1023]) ).

fof(f1023,plain,
    ( c2_1(a1131)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1021]) ).

fof(f1904,plain,
    ( spl0_112
    | ~ spl0_125
    | ~ spl0_102
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f1794,f1324,f672,f795,f724]) ).

fof(f724,plain,
    ( spl0_112
  <=> c0_1(a1121) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f795,plain,
    ( spl0_125
  <=> c1_1(a1121) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1324,plain,
    ( spl0_182
  <=> c2_1(a1121) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f1794,plain,
    ( ~ c1_1(a1121)
    | c0_1(a1121)
    | ~ spl0_102
    | ~ spl0_182 ),
    inference(resolution,[],[f673,f1326]) ).

fof(f1326,plain,
    ( c2_1(a1121)
    | ~ spl0_182 ),
    inference(avatar_component_clause,[],[f1324]) ).

fof(f1900,plain,
    ( spl0_139
    | ~ spl0_126
    | ~ spl0_110
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1860,f784,f715,f803,f883]) ).

fof(f883,plain,
    ( spl0_139
  <=> c3_1(a1101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1860,plain,
    ( ~ c1_1(a1101)
    | c3_1(a1101)
    | ~ spl0_110
    | ~ spl0_123 ),
    inference(resolution,[],[f716,f786]) ).

fof(f1898,plain,
    ( spl0_114
    | spl0_175
    | ~ spl0_22
    | spl0_56 ),
    inference(avatar_split_clause,[],[f1733,f442,f292,f1228,f736]) ).

fof(f442,plain,
    ( spl0_56
  <=> c3_1(a1130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1733,plain,
    ( c1_1(a1130)
    | c0_1(a1130)
    | ~ spl0_22
    | spl0_56 ),
    inference(resolution,[],[f444,f293]) ).

fof(f444,plain,
    ( ~ c3_1(a1130)
    | spl0_56 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f1893,plain,
    ( spl0_86
    | ~ spl0_184
    | ~ spl0_120
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1876,f973,f768,f1352,f594]) ).

fof(f768,plain,
    ( spl0_120
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f973,plain,
    ( spl0_154
  <=> c2_1(a1115) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1876,plain,
    ( ~ c0_1(a1115)
    | c1_1(a1115)
    | ~ spl0_120
    | ~ spl0_154 ),
    inference(resolution,[],[f769,f975]) ).

fof(f975,plain,
    ( c2_1(a1115)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f973]) ).

fof(f769,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f1892,plain,
    ( spl0_94
    | ~ spl0_45
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1884,f768,f394,f635]) ).

fof(f635,plain,
    ( spl0_94
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f394,plain,
    ( spl0_45
  <=> ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1884,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_45
    | ~ spl0_120 ),
    inference(duplicate_literal_removal,[],[f1867]) ).

fof(f1867,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_45
    | ~ spl0_120 ),
    inference(resolution,[],[f769,f395]) ).

fof(f395,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f1886,plain,
    ( spl0_121
    | ~ spl0_59
    | ~ spl0_117
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1873,f768,f752,f457,f772]) ).

fof(f772,plain,
    ( spl0_121
  <=> c1_1(a1125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1873,plain,
    ( ~ c0_1(a1125)
    | c1_1(a1125)
    | ~ spl0_117
    | ~ spl0_120 ),
    inference(resolution,[],[f769,f754]) ).

fof(f1885,plain,
    ( spl0_185
    | ~ spl0_133
    | ~ spl0_40
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1881,f768,f369,f841,f1376]) ).

fof(f1376,plain,
    ( spl0_185
  <=> c1_1(a1100) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f841,plain,
    ( spl0_133
  <=> c0_1(a1100) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f369,plain,
    ( spl0_40
  <=> c2_1(a1100) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1881,plain,
    ( ~ c0_1(a1100)
    | c1_1(a1100)
    | ~ spl0_40
    | ~ spl0_120 ),
    inference(resolution,[],[f769,f371]) ).

fof(f371,plain,
    ( c2_1(a1100)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f1841,plain,
    ( spl0_128
    | spl0_132
    | ~ spl0_33
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1834,f953,f341,f836,f816]) ).

fof(f816,plain,
    ( spl0_128
  <=> c0_1(a1103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f836,plain,
    ( spl0_132
  <=> c2_1(a1103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f341,plain,
    ( spl0_33
  <=> ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f953,plain,
    ( spl0_151
  <=> c3_1(a1103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1834,plain,
    ( c2_1(a1103)
    | c0_1(a1103)
    | ~ spl0_33
    | ~ spl0_151 ),
    inference(resolution,[],[f955,f342]) ).

fof(f342,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f955,plain,
    ( c3_1(a1103)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f953]) ).

fof(f1840,plain,
    ( spl0_189
    | spl0_132
    | ~ spl0_68
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1832,f953,f502,f836,f1836]) ).

fof(f1836,plain,
    ( spl0_189
  <=> c1_1(a1103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).

fof(f1832,plain,
    ( c2_1(a1103)
    | c1_1(a1103)
    | ~ spl0_68
    | ~ spl0_151 ),
    inference(resolution,[],[f955,f503]) ).

fof(f1839,plain,
    ( spl0_128
    | ~ spl0_189
    | ~ spl0_38
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1833,f953,f362,f1836,f816]) ).

fof(f1833,plain,
    ( ~ c1_1(a1103)
    | c0_1(a1103)
    | ~ spl0_38
    | ~ spl0_151 ),
    inference(resolution,[],[f955,f363]) ).

fof(f1829,plain,
    ( ~ spl0_185
    | spl0_80
    | ~ spl0_40
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1821,f715,f369,f562,f1376]) ).

fof(f562,plain,
    ( spl0_80
  <=> c3_1(a1100) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1821,plain,
    ( c3_1(a1100)
    | ~ c1_1(a1100)
    | ~ spl0_40
    | ~ spl0_110 ),
    inference(resolution,[],[f716,f371]) ).

fof(f1828,plain,
    ( ~ spl0_177
    | spl0_97
    | ~ spl0_65
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1816,f715,f487,f648,f1254]) ).

fof(f648,plain,
    ( spl0_97
  <=> c3_1(a1114) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f1816,plain,
    ( c3_1(a1114)
    | ~ c1_1(a1114)
    | ~ spl0_65
    | ~ spl0_110 ),
    inference(resolution,[],[f716,f489]) ).

fof(f1784,plain,
    ( ~ spl0_168
    | spl0_138
    | ~ spl0_58
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1774,f665,f452,f878,f1116]) ).

fof(f1116,plain,
    ( spl0_168
  <=> c1_1(a1113) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f665,plain,
    ( spl0_100
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1774,plain,
    ( c2_1(a1113)
    | ~ c1_1(a1113)
    | ~ spl0_58
    | ~ spl0_100 ),
    inference(resolution,[],[f666,f454]) ).

fof(f666,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f1782,plain,
    ( spl0_71
    | ~ spl0_99
    | ~ spl0_85
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1773,f665,f589,f659,f514]) ).

fof(f514,plain,
    ( spl0_71
  <=> c2_1(a1127) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f659,plain,
    ( spl0_99
  <=> c1_1(a1127) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f589,plain,
    ( spl0_85
  <=> c3_1(a1127) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1773,plain,
    ( ~ c1_1(a1127)
    | c2_1(a1127)
    | ~ spl0_85
    | ~ spl0_100 ),
    inference(resolution,[],[f666,f591]) ).

fof(f591,plain,
    ( c3_1(a1127)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f589]) ).

fof(f1727,plain,
    ( spl0_79
    | spl0_114
    | ~ spl0_16
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1573,f1228,f267,f736,f557]) ).

fof(f267,plain,
    ( spl0_16
  <=> ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1573,plain,
    ( c0_1(a1130)
    | c2_1(a1130)
    | ~ spl0_16
    | ~ spl0_175 ),
    inference(resolution,[],[f268,f1230]) ).

fof(f1230,plain,
    ( c1_1(a1130)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f1228]) ).

fof(f268,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f1720,plain,
    ( spl0_177
    | spl0_156
    | ~ spl0_22
    | spl0_97 ),
    inference(avatar_split_clause,[],[f1473,f648,f292,f984,f1254]) ).

fof(f1473,plain,
    ( c0_1(a1114)
    | c1_1(a1114)
    | ~ spl0_22
    | spl0_97 ),
    inference(resolution,[],[f293,f650]) ).

fof(f650,plain,
    ( ~ c3_1(a1114)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f1715,plain,
    ( spl0_170
    | spl0_146
    | ~ spl0_95
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1706,f937,f639,f926,f1139]) ).

fof(f1139,plain,
    ( spl0_170
  <=> c2_1(a1102) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f926,plain,
    ( spl0_146
  <=> c3_1(a1102) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f639,plain,
    ( spl0_95
  <=> ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f937,plain,
    ( spl0_148
  <=> c0_1(a1102) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1706,plain,
    ( c3_1(a1102)
    | c2_1(a1102)
    | ~ spl0_95
    | ~ spl0_148 ),
    inference(resolution,[],[f640,f939]) ).

fof(f939,plain,
    ( c0_1(a1102)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f937]) ).

fof(f640,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f1712,plain,
    ( spl0_78
    | spl0_141
    | ~ spl0_36
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1694,f639,f352,f898,f552]) ).

fof(f352,plain,
    ( spl0_36
  <=> c0_1(a1147) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1694,plain,
    ( c3_1(a1147)
    | c2_1(a1147)
    | ~ spl0_36
    | ~ spl0_95 ),
    inference(resolution,[],[f640,f354]) ).

fof(f354,plain,
    ( c0_1(a1147)
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f1688,plain,
    ( spl0_56
    | spl0_114
    | ~ spl0_96
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1680,f1228,f642,f736,f442]) ).

fof(f642,plain,
    ( spl0_96
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | c3_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1680,plain,
    ( c0_1(a1130)
    | c3_1(a1130)
    | ~ spl0_96
    | ~ spl0_175 ),
    inference(resolution,[],[f643,f1230]) ).

fof(f643,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | c3_1(X2) )
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f1686,plain,
    ( spl0_75
    | spl0_107
    | ~ spl0_30
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1666,f642,f327,f696,f534]) ).

fof(f534,plain,
    ( spl0_75
  <=> c0_1(a1131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1666,plain,
    ( c3_1(a1131)
    | c0_1(a1131)
    | ~ spl0_30
    | ~ spl0_96 ),
    inference(resolution,[],[f643,f329]) ).

fof(f329,plain,
    ( c1_1(a1131)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f1682,plain,
    ( spl0_139
    | spl0_171
    | ~ spl0_96
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1676,f803,f642,f1164,f883]) ).

fof(f1676,plain,
    ( c0_1(a1101)
    | c3_1(a1101)
    | ~ spl0_96
    | ~ spl0_126 ),
    inference(resolution,[],[f643,f805]) ).

fof(f805,plain,
    ( c1_1(a1101)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f803]) ).

fof(f1656,plain,
    ( ~ spl0_133
    | ~ spl0_185
    | ~ spl0_40
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1649,f632,f369,f1376,f841]) ).

fof(f632,plain,
    ( spl0_93
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1649,plain,
    ( ~ c1_1(a1100)
    | ~ c0_1(a1100)
    | ~ spl0_40
    | ~ spl0_93 ),
    inference(resolution,[],[f633,f371]) ).

fof(f633,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f1655,plain,
    ( ~ spl0_136
    | ~ spl0_169
    | ~ spl0_51
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1633,f632,f419,f1128,f867]) ).

fof(f867,plain,
    ( spl0_136
  <=> c1_1(a1136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1128,plain,
    ( spl0_169
  <=> c0_1(a1136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f419,plain,
    ( spl0_51
  <=> c2_1(a1136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1633,plain,
    ( ~ c0_1(a1136)
    | ~ c1_1(a1136)
    | ~ spl0_51
    | ~ spl0_93 ),
    inference(resolution,[],[f633,f421]) ).

fof(f421,plain,
    ( c2_1(a1136)
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f1654,plain,
    ( ~ spl0_148
    | ~ spl0_87
    | ~ spl0_93
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1647,f1139,f632,f599,f937]) ).

fof(f599,plain,
    ( spl0_87
  <=> c1_1(a1102) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1647,plain,
    ( ~ c1_1(a1102)
    | ~ c0_1(a1102)
    | ~ spl0_93
    | ~ spl0_170 ),
    inference(resolution,[],[f633,f1141]) ).

fof(f1141,plain,
    ( c2_1(a1102)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1139]) ).

fof(f1653,plain,
    ( ~ spl0_106
    | ~ spl0_157
    | ~ spl0_24
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1634,f632,f300,f989,f691]) ).

fof(f1634,plain,
    ( ~ c1_1(a1111)
    | ~ c0_1(a1111)
    | ~ spl0_24
    | ~ spl0_93 ),
    inference(resolution,[],[f633,f302]) ).

fof(f1625,plain,
    ( spl0_174
    | spl0_121
    | ~ spl0_59
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1607,f635,f457,f772,f1208]) ).

fof(f1607,plain,
    ( c1_1(a1125)
    | c3_1(a1125)
    | ~ spl0_59
    | ~ spl0_94 ),
    inference(resolution,[],[f636,f459]) ).

fof(f459,plain,
    ( c0_1(a1125)
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f636,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f1622,plain,
    ( spl0_115
    | spl0_86
    | ~ spl0_94
    | ~ spl0_184 ),
    inference(avatar_split_clause,[],[f1611,f1352,f635,f594,f742]) ).

fof(f1611,plain,
    ( c1_1(a1115)
    | c3_1(a1115)
    | ~ spl0_94
    | ~ spl0_184 ),
    inference(resolution,[],[f636,f1354]) ).

fof(f1354,plain,
    ( c0_1(a1115)
    | ~ spl0_184 ),
    inference(avatar_component_clause,[],[f1352]) ).

fof(f1620,plain,
    ( spl0_91
    | spl0_60
    | ~ spl0_94
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1614,f710,f635,f463,f620]) ).

fof(f620,plain,
    ( spl0_91
  <=> c1_1(a1108) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f463,plain,
    ( spl0_60
  <=> c3_1(a1108) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f710,plain,
    ( spl0_109
  <=> c0_1(a1108) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1614,plain,
    ( c3_1(a1108)
    | c1_1(a1108)
    | ~ spl0_94
    | ~ spl0_109 ),
    inference(resolution,[],[f636,f712]) ).

fof(f712,plain,
    ( c0_1(a1108)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f1541,plain,
    ( spl0_168
    | spl0_138
    | ~ spl0_58
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1532,f502,f452,f878,f1116]) ).

fof(f1532,plain,
    ( c2_1(a1113)
    | c1_1(a1113)
    | ~ spl0_58
    | ~ spl0_68 ),
    inference(resolution,[],[f503,f454]) ).

fof(f1537,plain,
    ( spl0_149
    | spl0_19
    | ~ spl0_68
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1533,f573,f502,f280,f943]) ).

fof(f943,plain,
    ( spl0_149
  <=> c1_1(a1110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f280,plain,
    ( spl0_19
  <=> c2_1(a1110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f573,plain,
    ( spl0_82
  <=> c3_1(a1110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1533,plain,
    ( c2_1(a1110)
    | c1_1(a1110)
    | ~ spl0_68
    | ~ spl0_82 ),
    inference(resolution,[],[f503,f575]) ).

fof(f575,plain,
    ( c3_1(a1110)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f1513,plain,
    ( spl0_176
    | spl0_31
    | ~ spl0_61
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1506,f910,f469,f332,f1242]) ).

fof(f1242,plain,
    ( spl0_176
  <=> c0_1(a1118) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f469,plain,
    ( spl0_61
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1506,plain,
    ( c3_1(a1118)
    | c0_1(a1118)
    | ~ spl0_61
    | spl0_143 ),
    inference(resolution,[],[f470,f912]) ).

fof(f912,plain,
    ( ~ c2_1(a1118)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f910]) ).

fof(f470,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f1464,plain,
    ( spl0_174
    | ~ spl0_59
    | ~ spl0_21
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1447,f752,f289,f457,f1208]) ).

fof(f289,plain,
    ( spl0_21
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f1447,plain,
    ( ~ c0_1(a1125)
    | c3_1(a1125)
    | ~ spl0_21
    | ~ spl0_117 ),
    inference(resolution,[],[f290,f754]) ).

fof(f290,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f1414,plain,
    ( spl0_28
    | spl0_111
    | ~ spl0_8
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f1403,f414,f232,f719,f318]) ).

fof(f318,plain,
    ( spl0_28
  <=> c1_1(a1124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f232,plain,
    ( spl0_8
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1403,plain,
    ( c2_1(a1124)
    | c1_1(a1124)
    | ~ spl0_8
    | ~ spl0_50 ),
    inference(resolution,[],[f233,f416]) ).

fof(f416,plain,
    ( c0_1(a1124)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f233,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f1374,plain,
    ( ~ spl0_136
    | spl0_169
    | ~ spl0_38
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1150,f1002,f362,f1128,f867]) ).

fof(f1002,plain,
    ( spl0_159
  <=> c3_1(a1136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f1150,plain,
    ( c0_1(a1136)
    | ~ c1_1(a1136)
    | ~ spl0_38
    | ~ spl0_159 ),
    inference(resolution,[],[f1004,f363]) ).

fof(f1004,plain,
    ( c3_1(a1136)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1002]) ).

fof(f1355,plain,
    ( spl0_184
    | spl0_86
    | ~ spl0_89
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1348,f973,f610,f594,f1352]) ).

fof(f1348,plain,
    ( c1_1(a1115)
    | c0_1(a1115)
    | ~ spl0_89
    | ~ spl0_154 ),
    inference(resolution,[],[f975,f611]) ).

fof(f1328,plain,
    ( spl0_112
    | ~ spl0_125
    | ~ spl0_38
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1321,f579,f362,f795,f724]) ).

fof(f579,plain,
    ( spl0_83
  <=> c3_1(a1121) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1321,plain,
    ( ~ c1_1(a1121)
    | c0_1(a1121)
    | ~ spl0_38
    | ~ spl0_83 ),
    inference(resolution,[],[f581,f363]) ).

fof(f581,plain,
    ( c3_1(a1121)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f579]) ).

fof(f1327,plain,
    ( spl0_112
    | spl0_182
    | ~ spl0_33
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1322,f579,f341,f1324,f724]) ).

fof(f1322,plain,
    ( c2_1(a1121)
    | c0_1(a1121)
    | ~ spl0_33
    | ~ spl0_83 ),
    inference(resolution,[],[f581,f342]) ).

fof(f1310,plain,
    ( spl0_180
    | ~ spl0_104
    | ~ spl0_7
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1304,f567,f229,f681,f1307]) ).

fof(f229,plain,
    ( spl0_7
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1304,plain,
    ( ~ c3_1(a1145)
    | c0_1(a1145)
    | ~ spl0_7
    | ~ spl0_81 ),
    inference(resolution,[],[f569,f230]) ).

fof(f230,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f1285,plain,
    ( spl0_74
    | spl0_130
    | ~ spl0_45
    | spl0_153 ),
    inference(avatar_split_clause,[],[f1280,f963,f394,f826,f529]) ).

fof(f529,plain,
    ( spl0_74
  <=> c1_1(a1098) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f826,plain,
    ( spl0_130
  <=> c3_1(a1098) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f963,plain,
    ( spl0_153
  <=> c2_1(a1098) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1280,plain,
    ( c3_1(a1098)
    | c1_1(a1098)
    | ~ spl0_45
    | spl0_153 ),
    inference(resolution,[],[f395,f965]) ).

fof(f965,plain,
    ( ~ c2_1(a1098)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f963]) ).

fof(f1283,plain,
    ( spl0_22
    | ~ spl0_45
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1282,f610,f394,f292]) ).

fof(f1282,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_45
    | ~ spl0_89 ),
    inference(duplicate_literal_removal,[],[f1266]) ).

fof(f1266,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_45
    | ~ spl0_89 ),
    inference(resolution,[],[f395,f611]) ).

fof(f1249,plain,
    ( spl0_129
    | spl0_26
    | ~ spl0_33
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1248,f1042,f341,f309,f821]) ).

fof(f309,plain,
    ( spl0_26
  <=> c2_1(a1180) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1248,plain,
    ( c2_1(a1180)
    | c0_1(a1180)
    | ~ spl0_33
    | ~ spl0_163 ),
    inference(resolution,[],[f1044,f342]) ).

fof(f1044,plain,
    ( c3_1(a1180)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1042]) ).

fof(f1246,plain,
    ( ~ spl0_176
    | spl0_31
    | ~ spl0_62
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1240,f584,f472,f332,f1242]) ).

fof(f472,plain,
    ( spl0_62
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f1240,plain,
    ( c3_1(a1118)
    | ~ c0_1(a1118)
    | ~ spl0_62
    | ~ spl0_84 ),
    inference(resolution,[],[f586,f473]) ).

fof(f473,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f1245,plain,
    ( ~ spl0_176
    | spl0_143
    | ~ spl0_67
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1239,f584,f499,f910,f1242]) ).

fof(f499,plain,
    ( spl0_67
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1239,plain,
    ( c2_1(a1118)
    | ~ c0_1(a1118)
    | ~ spl0_67
    | ~ spl0_84 ),
    inference(resolution,[],[f586,f500]) ).

fof(f500,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f1236,plain,
    ( spl0_141
    | ~ spl0_36
    | ~ spl0_62
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1233,f1009,f472,f352,f898]) ).

fof(f1233,plain,
    ( ~ c0_1(a1147)
    | c3_1(a1147)
    | ~ spl0_62
    | ~ spl0_160 ),
    inference(resolution,[],[f1011,f473]) ).

fof(f1235,plain,
    ( spl0_78
    | ~ spl0_36
    | ~ spl0_67
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1232,f1009,f499,f352,f552]) ).

fof(f1232,plain,
    ( ~ c0_1(a1147)
    | c2_1(a1147)
    | ~ spl0_67
    | ~ spl0_160 ),
    inference(resolution,[],[f1011,f500]) ).

fof(f1220,plain,
    ( ~ spl0_53
    | spl0_137
    | ~ spl0_7
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1216,f1178,f229,f872,f428]) ).

fof(f872,plain,
    ( spl0_137
  <=> c0_1(a1107) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1216,plain,
    ( c0_1(a1107)
    | ~ c3_1(a1107)
    | ~ spl0_7
    | ~ spl0_172 ),
    inference(resolution,[],[f1180,f230]) ).

fof(f1180,plain,
    ( c2_1(a1107)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1178]) ).

fof(f1219,plain,
    ( spl0_2
    | spl0_137
    | ~ spl0_89
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1215,f1178,f610,f872,f206]) ).

fof(f1215,plain,
    ( c0_1(a1107)
    | c1_1(a1107)
    | ~ spl0_89
    | ~ spl0_172 ),
    inference(resolution,[],[f1180,f611]) ).

fof(f1211,plain,
    ( spl0_121
    | ~ spl0_174
    | ~ spl0_49
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1206,f752,f410,f1208,f772]) ).

fof(f410,plain,
    ( spl0_49
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1206,plain,
    ( ~ c3_1(a1125)
    | c1_1(a1125)
    | ~ spl0_49
    | ~ spl0_117 ),
    inference(resolution,[],[f754,f411]) ).

fof(f411,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f1203,plain,
    ( spl0_158
    | spl0_155
    | ~ spl0_89
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1198,f654,f610,f979,f996]) ).

fof(f654,plain,
    ( spl0_98
  <=> c2_1(a1172) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1198,plain,
    ( c1_1(a1172)
    | c0_1(a1172)
    | ~ spl0_89
    | ~ spl0_98 ),
    inference(resolution,[],[f611,f656]) ).

fof(f656,plain,
    ( c2_1(a1172)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f654]) ).

fof(f1189,plain,
    ( spl0_11
    | ~ spl0_145
    | ~ spl0_7
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1182,f763,f229,f921,f245]) ).

fof(f1182,plain,
    ( ~ c3_1(a1149)
    | c0_1(a1149)
    | ~ spl0_7
    | ~ spl0_119 ),
    inference(resolution,[],[f765,f230]) ).

fof(f1173,plain,
    ( ~ spl0_118
    | spl0_152
    | ~ spl0_67
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1170,f747,f499,f958,f758]) ).

fof(f758,plain,
    ( spl0_118
  <=> c0_1(a1104) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f958,plain,
    ( spl0_152
  <=> c2_1(a1104) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f747,plain,
    ( spl0_116
  <=> c1_1(a1104) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1170,plain,
    ( c2_1(a1104)
    | ~ c0_1(a1104)
    | ~ spl0_67
    | ~ spl0_116 ),
    inference(resolution,[],[f500,f749]) ).

fof(f749,plain,
    ( c1_1(a1104)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f1167,plain,
    ( ~ spl0_171
    | spl0_139
    | ~ spl0_62
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1162,f803,f472,f883,f1164]) ).

fof(f1162,plain,
    ( c3_1(a1101)
    | ~ c0_1(a1101)
    | ~ spl0_62
    | ~ spl0_126 ),
    inference(resolution,[],[f473,f805]) ).

fof(f1145,plain,
    ( spl0_80
    | ~ spl0_133
    | ~ spl0_21
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f1144,f369,f289,f841,f562]) ).

fof(f1144,plain,
    ( ~ c0_1(a1100)
    | c3_1(a1100)
    | ~ spl0_21
    | ~ spl0_40 ),
    inference(resolution,[],[f371,f290]) ).

fof(f1137,plain,
    ( spl0_127
    | spl0_63
    | ~ spl0_16
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1136,f539,f267,f477,f809]) ).

fof(f809,plain,
    ( spl0_127
  <=> c0_1(a1119) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f477,plain,
    ( spl0_63
  <=> c2_1(a1119) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f539,plain,
    ( spl0_76
  <=> c1_1(a1119) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1136,plain,
    ( c2_1(a1119)
    | c0_1(a1119)
    | ~ spl0_16
    | ~ spl0_76 ),
    inference(resolution,[],[f541,f268]) ).

fof(f541,plain,
    ( c1_1(a1119)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f539]) ).

fof(f1135,plain,
    ( spl0_146
    | ~ spl0_148
    | ~ spl0_62
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1133,f599,f472,f937,f926]) ).

fof(f1133,plain,
    ( ~ c0_1(a1102)
    | c3_1(a1102)
    | ~ spl0_62
    | ~ spl0_87 ),
    inference(resolution,[],[f601,f473]) ).

fof(f601,plain,
    ( c1_1(a1102)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f1132,plain,
    ( ~ spl0_169
    | ~ spl0_159
    | ~ spl0_51
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1121,f505,f419,f1002,f1128]) ).

fof(f1121,plain,
    ( ~ c3_1(a1136)
    | ~ c0_1(a1136)
    | ~ spl0_51
    | ~ spl0_69 ),
    inference(resolution,[],[f421,f506]) ).

fof(f1131,plain,
    ( spl0_169
    | ~ spl0_159
    | ~ spl0_7
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1125,f419,f229,f1002,f1128]) ).

fof(f1125,plain,
    ( ~ c3_1(a1136)
    | c0_1(a1136)
    | ~ spl0_7
    | ~ spl0_51 ),
    inference(resolution,[],[f421,f230]) ).

fof(f1126,plain,
    ( ~ spl0_159
    | ~ spl0_136
    | ~ spl0_47
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1123,f419,f402,f867,f1002]) ).

fof(f1123,plain,
    ( ~ c1_1(a1136)
    | ~ c3_1(a1136)
    | ~ spl0_47
    | ~ spl0_51 ),
    inference(resolution,[],[f421,f403]) ).

fof(f1119,plain,
    ( spl0_168
    | ~ spl0_88
    | ~ spl0_58
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1111,f613,f452,f604,f1116]) ).

fof(f613,plain,
    ( spl0_90
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1111,plain,
    ( ~ c0_1(a1113)
    | c1_1(a1113)
    | ~ spl0_58
    | ~ spl0_90 ),
    inference(resolution,[],[f614,f454]) ).

fof(f614,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f1114,plain,
    ( ~ spl0_134
    | spl0_72
    | ~ spl0_43
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1112,f613,f384,f520,f848]) ).

fof(f520,plain,
    ( spl0_72
  <=> c1_1(a1105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1112,plain,
    ( c1_1(a1105)
    | ~ c0_1(a1105)
    | ~ spl0_43
    | ~ spl0_90 ),
    inference(resolution,[],[f614,f386]) ).

fof(f386,plain,
    ( c3_1(a1105)
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f1109,plain,
    ( spl0_158
    | spl0_161
    | ~ spl0_70
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1108,f654,f509,f1015,f996]) ).

fof(f509,plain,
    ( spl0_70
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1108,plain,
    ( c3_1(a1172)
    | c0_1(a1172)
    | ~ spl0_70
    | ~ spl0_98 ),
    inference(resolution,[],[f510,f656]) ).

fof(f510,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f1104,plain,
    ( spl0_72
    | spl0_165
    | ~ spl0_43
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1101,f502,f384,f1056,f520]) ).

fof(f1101,plain,
    ( c2_1(a1105)
    | c1_1(a1105)
    | ~ spl0_43
    | ~ spl0_68 ),
    inference(resolution,[],[f503,f386]) ).

fof(f1077,plain,
    ( ~ spl0_43
    | spl0_72
    | ~ spl0_49
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1076,f1056,f410,f520,f384]) ).

fof(f1076,plain,
    ( c1_1(a1105)
    | ~ c3_1(a1105)
    | ~ spl0_49
    | ~ spl0_165 ),
    inference(resolution,[],[f411,f1058]) ).

fof(f1069,plain,
    ( spl0_71
    | ~ spl0_166
    | ~ spl0_39
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1060,f589,f365,f1064,f514]) ).

fof(f1064,plain,
    ( spl0_166
  <=> c0_1(a1127) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f1060,plain,
    ( ~ c0_1(a1127)
    | c2_1(a1127)
    | ~ spl0_39
    | ~ spl0_85 ),
    inference(resolution,[],[f591,f366]) ).

fof(f1068,plain,
    ( ~ spl0_99
    | spl0_166
    | ~ spl0_38
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1061,f589,f362,f1064,f659]) ).

fof(f1061,plain,
    ( c0_1(a1127)
    | ~ c1_1(a1127)
    | ~ spl0_38
    | ~ spl0_85 ),
    inference(resolution,[],[f591,f363]) ).

fof(f1059,plain,
    ( spl0_165
    | ~ spl0_134
    | ~ spl0_39
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f1052,f384,f365,f848,f1056]) ).

fof(f1052,plain,
    ( ~ c0_1(a1105)
    | c2_1(a1105)
    | ~ spl0_39
    | ~ spl0_43 ),
    inference(resolution,[],[f386,f366]) ).

fof(f1051,plain,
    ( spl0_28
    | spl0_164
    | ~ spl0_45
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1037,f719,f394,f1048,f318]) ).

fof(f1037,plain,
    ( c3_1(a1124)
    | c1_1(a1124)
    | ~ spl0_45
    | spl0_111 ),
    inference(resolution,[],[f395,f721]) ).

fof(f721,plain,
    ( ~ c2_1(a1124)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f1046,plain,
    ( spl0_160
    | spl0_141
    | ~ spl0_45
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1036,f552,f394,f898,f1009]) ).

fof(f1036,plain,
    ( c3_1(a1147)
    | c1_1(a1147)
    | ~ spl0_45
    | spl0_78 ),
    inference(resolution,[],[f395,f554]) ).

fof(f554,plain,
    ( ~ c2_1(a1147)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f1024,plain,
    ( spl0_162
    | spl0_75
    | ~ spl0_16
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f1019,f327,f267,f534,f1021]) ).

fof(f1019,plain,
    ( c0_1(a1131)
    | c2_1(a1131)
    | ~ spl0_16
    | ~ spl0_30 ),
    inference(resolution,[],[f268,f329]) ).

fof(f1018,plain,
    ( ~ spl0_161
    | spl0_158
    | ~ spl0_7
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1013,f654,f229,f996,f1015]) ).

fof(f1013,plain,
    ( c0_1(a1172)
    | ~ c3_1(a1172)
    | ~ spl0_7
    | ~ spl0_98 ),
    inference(resolution,[],[f230,f656]) ).

fof(f1012,plain,
    ( spl0_78
    | spl0_160
    | ~ spl0_8
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f1007,f352,f232,f1009,f552]) ).

fof(f1007,plain,
    ( c1_1(a1147)
    | c2_1(a1147)
    | ~ spl0_8
    | ~ spl0_36 ),
    inference(resolution,[],[f233,f354]) ).

fof(f1006,plain,
    ( ~ spl0_5
    | spl0_90
    | spl0_52
    | spl0_45 ),
    inference(avatar_split_clause,[],[f171,f394,f423,f613,f220]) ).

fof(f220,plain,
    ( spl0_5
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f423,plain,
    ( spl0_52
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f171,axiom,
    ! [X0,X1] :
      ( c3_1(X1)
      | hskp30
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f1005,plain,
    ( spl0_159
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f48,f423,f1002]) ).

fof(f48,axiom,
    ( ~ hskp30
    | c3_1(a1136) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f1000,plain,
    ( spl0_5
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f20,f433,f220]) ).

fof(f433,plain,
    ( spl0_54
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f20,axiom,
    ( ~ hskp13
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).

fof(f999,plain,
    ( ~ spl0_158
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f97,f492,f996]) ).

fof(f492,plain,
    ( spl0_66
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f97,axiom,
    ( ~ hskp25
    | ~ c0_1(a1172) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f993,plain,
    ( ~ spl0_5
    | spl0_120
    | spl0_12
    | spl0_110 ),
    inference(avatar_split_clause,[],[f187,f715,f249,f768,f220]) ).

fof(f249,plain,
    ( spl0_12
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f187,axiom,
    ! [X0,X1] :
      ( c3_1(X0)
      | hskp24
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

fof(f992,plain,
    ( spl0_157
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f53,f296,f989]) ).

fof(f296,plain,
    ( spl0_23
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f53,axiom,
    ( ~ hskp28
    | c1_1(a1111) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f987,plain,
    ( ~ spl0_156
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f119,f263,f984]) ).

fof(f263,plain,
    ( spl0_15
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f119,axiom,
    ( ~ hskp12
    | ~ c0_1(a1114) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f982,plain,
    ( ~ spl0_155
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f98,f492,f979]) ).

fof(f98,axiom,
    ( ~ hskp25
    | ~ c1_1(a1172) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f977,plain,
    ( ~ spl0_5
    | spl0_45
    | spl0_64
    | spl0_96 ),
    inference(avatar_split_clause,[],[f164,f642,f481,f394,f220]) ).

fof(f481,plain,
    ( spl0_64
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f164,axiom,
    ! [X0,X1] :
      ( c0_1(X0)
      | hskp15
      | ~ c1_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f976,plain,
    ( spl0_154
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f71,f433,f973]) ).

fof(f71,axiom,
    ( ~ hskp13
    | c2_1(a1115) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f967,plain,
    ( ~ spl0_5
    | spl0_29
    | spl0_100
    | spl0_7 ),
    inference(avatar_split_clause,[],[f183,f229,f665,f323,f220]) ).

fof(f323,plain,
    ( spl0_29
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f183,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X1)
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X1)
      | hskp21
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f966,plain,
    ( ~ spl0_153
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f137,f525,f963]) ).

fof(f525,plain,
    ( spl0_73
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f137,axiom,
    ( ~ hskp0
    | ~ c2_1(a1098) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f961,plain,
    ( ~ spl0_108
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f129,f958,f705]) ).

fof(f705,plain,
    ( spl0_108
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f129,axiom,
    ( ~ c2_1(a1104)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f956,plain,
    ( ~ spl0_46
    | spl0_151 ),
    inference(avatar_split_clause,[],[f82,f953,f397]) ).

fof(f397,plain,
    ( spl0_46
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f82,axiom,
    ( c3_1(a1103)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f951,plain,
    ( ~ spl0_13
    | spl0_150 ),
    inference(avatar_split_clause,[],[f50,f948,f254]) ).

fof(f254,plain,
    ( spl0_13
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f50,axiom,
    ( c2_1(a1116)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f946,plain,
    ( ~ spl0_149
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f122,f276,f943]) ).

fof(f276,plain,
    ( spl0_18
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f122,axiom,
    ( ~ hskp10
    | ~ c1_1(a1110) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f940,plain,
    ( ~ spl0_9
    | spl0_148 ),
    inference(avatar_split_clause,[],[f83,f937,f235]) ).

fof(f235,plain,
    ( spl0_9
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f83,axiom,
    ( c0_1(a1102)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f929,plain,
    ( ~ spl0_9
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f132,f926,f235]) ).

fof(f132,axiom,
    ( ~ c3_1(a1102)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f924,plain,
    ( ~ spl0_12
    | spl0_145 ),
    inference(avatar_split_clause,[],[f57,f921,f249]) ).

fof(f57,axiom,
    ( c3_1(a1149)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f919,plain,
    ( ~ spl0_144
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f95,f305,f916]) ).

fof(f305,plain,
    ( spl0_25
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f95,axiom,
    ( ~ hskp26
    | ~ c1_1(a1180) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f914,plain,
    ( spl0_108
    | spl0_42
    | spl0_61
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f139,f220,f469,f380,f705]) ).

fof(f380,plain,
    ( spl0_42
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f139,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | c2_1(X0)
      | c0_1(X0)
      | hskp7
      | c3_1(X0)
      | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f913,plain,
    ( ~ spl0_143
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f115,f336,f910]) ).

fof(f336,plain,
    ( spl0_32
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f115,axiom,
    ( ~ hskp14
    | ~ c2_1(a1118) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f908,plain,
    ( spl0_57
    | ~ spl0_5
    | spl0_66
    | spl0_69 ),
    inference(avatar_split_clause,[],[f160,f505,f492,f220,f447]) ).

fof(f447,plain,
    ( spl0_57
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f160,axiom,
    ! [X0] :
      ( ~ c3_1(X0)
      | hskp25
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f901,plain,
    ( ~ spl0_141
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f101,f348,f898]) ).

fof(f348,plain,
    ( spl0_35
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f101,axiom,
    ( ~ hskp23
    | ~ c3_1(a1147) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f896,plain,
    ( spl0_5
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f10,f348,f220]) ).

fof(f10,axiom,
    ( ~ hskp23
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).

fof(f895,plain,
    ( ~ spl0_5
    | spl0_14
    | spl0_68
    | spl0_34 ),
    inference(avatar_split_clause,[],[f172,f344,f502,f259,f220]) ).

fof(f259,plain,
    ( spl0_14
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | c1_1(X1)
      | hskp11
      | c2_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f894,plain,
    ( spl0_7
    | spl0_42
    | ~ spl0_5
    | spl0_69 ),
    inference(avatar_split_clause,[],[f189,f505,f220,f380,f229]) ).

fof(f189,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | hskp7
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).

fof(f893,plain,
    ( spl0_29
    | spl0_73
    | spl0_38
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f152,f220,f362,f525,f323]) ).

fof(f152,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | hskp0
      | hskp21
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f886,plain,
    ( ~ spl0_139
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f133,f285,f883]) ).

fof(f285,plain,
    ( spl0_20
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f133,axiom,
    ( ~ hskp3
    | ~ c3_1(a1101) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f881,plain,
    ( ~ spl0_138
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f121,f259,f878]) ).

fof(f121,axiom,
    ( ~ hskp11
    | ~ c2_1(a1113) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f876,plain,
    ( ~ spl0_5
    | spl0_23
    | spl0_27
    | spl0_102 ),
    inference(avatar_split_clause,[],[f150,f672,f314,f296,f220]) ).

fof(f314,plain,
    ( spl0_27
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f150,axiom,
    ! [X0] :
      ( c0_1(X0)
      | hskp17
      | hskp28
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f875,plain,
    ( ~ spl0_1
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f126,f872,f202]) ).

fof(f202,plain,
    ( spl0_1
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f126,axiom,
    ( ~ c0_1(a1107)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f870,plain,
    ( ~ spl0_52
    | spl0_136 ),
    inference(avatar_split_clause,[],[f46,f867,f423]) ).

fof(f46,axiom,
    ( c1_1(a1136)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f865,plain,
    ( spl0_48
    | ~ spl0_5
    | spl0_1
    | spl0_49 ),
    inference(avatar_split_clause,[],[f156,f410,f202,f220,f406]) ).

fof(f406,plain,
    ( spl0_48
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f156,axiom,
    ! [X0] :
      ( c1_1(X0)
      | hskp8
      | ~ ndr1_0
      | ~ c2_1(X0)
      | hskp19
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f858,plain,
    ( ~ spl0_5
    | spl0_38
    | spl0_22
    | spl0_62 ),
    inference(avatar_split_clause,[],[f193,f472,f292,f362,f220]) ).

fof(f193,axiom,
    ! [X2,X0,X1] :
      ( c3_1(X0)
      | c3_1(X2)
      | c0_1(X2)
      | c1_1(X2)
      | ~ c1_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).

fof(f857,plain,
    ( spl0_46
    | spl0_110
    | ~ spl0_5
    | spl0_61 ),
    inference(avatar_split_clause,[],[f168,f469,f220,f715,f397]) ).

fof(f168,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | ~ ndr1_0
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | hskp5
      | c3_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f856,plain,
    ( ~ spl0_5
    | spl0_94
    | spl0_67
    | spl0_102 ),
    inference(avatar_split_clause,[],[f196,f672,f499,f635,f220]) ).

fof(f196,axiom,
    ! [X2,X0,X1] :
      ( ~ c1_1(X2)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X1)
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).

fof(f855,plain,
    ( ~ spl0_5
    | spl0_35
    | spl0_120
    | spl0_42 ),
    inference(avatar_split_clause,[],[f153,f380,f768,f348,f220]) ).

fof(f153,axiom,
    ! [X0] :
      ( hskp7
      | ~ c0_1(X0)
      | hskp23
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f854,plain,
    ( ~ spl0_5
    | spl0_39
    | spl0_55
    | spl0_120 ),
    inference(avatar_split_clause,[],[f186,f768,f438,f365,f220]) ).

fof(f438,plain,
    ( spl0_55
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f186,axiom,
    ! [X0,X1] :
      ( c1_1(X1)
      | hskp20
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

fof(f853,plain,
    ( spl0_35
    | spl0_52
    | spl0_73 ),
    inference(avatar_split_clause,[],[f40,f525,f423,f348]) ).

fof(f40,axiom,
    ( hskp0
    | hskp30
    | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f852,plain,
    ( spl0_32
    | spl0_35 ),
    inference(avatar_split_clause,[],[f1,f348,f336]) ).

fof(f1,axiom,
    ( hskp23
    | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f851,plain,
    ( spl0_134
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f78,f380,f848]) ).

fof(f78,axiom,
    ( ~ hskp7
    | c0_1(a1105) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f844,plain,
    ( spl0_133
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f87,f373,f841]) ).

fof(f373,plain,
    ( spl0_41
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f87,axiom,
    ( ~ hskp2
    | c0_1(a1100) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f839,plain,
    ( ~ spl0_132
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f131,f397,f836]) ).

fof(f131,axiom,
    ( ~ hskp5
    | ~ c2_1(a1103) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f834,plain,
    ( ~ spl0_44
    | spl0_131 ),
    inference(avatar_split_clause,[],[f89,f831,f389]) ).

fof(f389,plain,
    ( spl0_44
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f89,axiom,
    ( c1_1(a1099)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f829,plain,
    ( ~ spl0_73
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f138,f826,f525]) ).

fof(f138,axiom,
    ( ~ c3_1(a1098)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f824,plain,
    ( ~ spl0_129
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f94,f305,f821]) ).

fof(f94,axiom,
    ( ~ hskp26
    | ~ c0_1(a1180) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f819,plain,
    ( ~ spl0_128
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f130,f397,f816]) ).

fof(f130,axiom,
    ( ~ hskp5
    | ~ c0_1(a1103) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f814,plain,
    ( spl0_29
    | spl0_110
    | spl0_52
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f159,f220,f423,f715,f323]) ).

fof(f159,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp30
      | ~ c1_1(X0)
      | hskp21
      | ~ c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f812,plain,
    ( ~ spl0_64
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f113,f809,f481]) ).

fof(f113,axiom,
    ( ~ c0_1(a1119)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f807,plain,
    ( spl0_55
    | ~ spl0_5
    | spl0_38
    | spl0_21 ),
    inference(avatar_split_clause,[],[f182,f289,f362,f220,f438]) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( c3_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f806,plain,
    ( spl0_126
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f85,f285,f803]) ).

fof(f85,axiom,
    ( ~ hskp3
    | c1_1(a1101) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f800,plain,
    ( ~ spl0_5
    | spl0_102
    | spl0_16
    | spl0_37 ),
    inference(avatar_split_clause,[],[f173,f357,f267,f672,f220]) ).

fof(f357,plain,
    ( spl0_37
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( hskp9
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f799,plain,
    ( spl0_120
    | ~ spl0_5
    | spl0_37
    | spl0_68 ),
    inference(avatar_split_clause,[],[f177,f502,f357,f220,f768]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | ~ c3_1(X1)
      | hskp9
      | ~ ndr1_0
      | ~ c2_1(X0)
      | c1_1(X1)
      | ~ c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f798,plain,
    ( ~ spl0_6
    | spl0_125 ),
    inference(avatar_split_clause,[],[f67,f795,f224]) ).

fof(f224,plain,
    ( spl0_6
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f67,axiom,
    ( c1_1(a1121)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f793,plain,
    ( ~ spl0_44
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f135,f790,f389]) ).

fof(f135,axiom,
    ( ~ c0_1(a1099)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f787,plain,
    ( spl0_123
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f86,f285,f784]) ).

fof(f86,axiom,
    ( ~ hskp3
    | c2_1(a1101) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f782,plain,
    ( spl0_108
    | spl0_29
    | spl0_12 ),
    inference(avatar_split_clause,[],[f34,f249,f323,f705]) ).

fof(f34,axiom,
    ( hskp24
    | hskp21
    | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f781,plain,
    ( ~ spl0_13
    | spl0_122 ),
    inference(avatar_split_clause,[],[f51,f778,f254]) ).

fof(f51,axiom,
    ( c3_1(a1116)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f776,plain,
    ( spl0_100
    | spl0_41
    | spl0_69
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f192,f220,f505,f373,f665]) ).

fof(f192,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | hskp2
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).

fof(f775,plain,
    ( ~ spl0_121
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f109,f447,f772]) ).

fof(f109,axiom,
    ( ~ hskp18
    | ~ c1_1(a1125) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f770,plain,
    ( spl0_42
    | ~ spl0_5
    | spl0_39
    | spl0_120 ),
    inference(avatar_split_clause,[],[f185,f768,f365,f220,f380]) ).

fof(f185,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X1)
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp7
      | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f766,plain,
    ( ~ spl0_12
    | spl0_119 ),
    inference(avatar_split_clause,[],[f56,f763,f249]) ).

fof(f56,axiom,
    ( c2_1(a1149)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f761,plain,
    ( ~ spl0_108
    | spl0_118 ),
    inference(avatar_split_clause,[],[f80,f758,f705]) ).

fof(f80,axiom,
    ( c0_1(a1104)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f755,plain,
    ( ~ spl0_57
    | spl0_117 ),
    inference(avatar_split_clause,[],[f65,f752,f447]) ).

fof(f65,axiom,
    ( c2_1(a1125)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f750,plain,
    ( ~ spl0_108
    | spl0_116 ),
    inference(avatar_split_clause,[],[f81,f747,f705]) ).

fof(f81,axiom,
    ( c1_1(a1104)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f745,plain,
    ( ~ spl0_115
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f118,f433,f742]) ).

fof(f118,axiom,
    ( ~ hskp13
    | ~ c3_1(a1115) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f740,plain,
    ( spl0_48
    | spl0_15
    | spl0_25 ),
    inference(avatar_split_clause,[],[f42,f305,f263,f406]) ).

fof(f42,axiom,
    ( hskp26
    | hskp12
    | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f739,plain,
    ( ~ spl0_55
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f105,f736,f438]) ).

fof(f105,axiom,
    ( ~ c0_1(a1130)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f733,plain,
    ( ~ spl0_44
    | spl0_113 ),
    inference(avatar_split_clause,[],[f90,f730,f389]) ).

fof(f90,axiom,
    ( c2_1(a1099)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f728,plain,
    ( spl0_62
    | spl0_57
    | ~ spl0_5
    | spl0_64 ),
    inference(avatar_split_clause,[],[f157,f481,f220,f447,f472]) ).

fof(f157,axiom,
    ! [X0] :
      ( hskp15
      | ~ ndr1_0
      | hskp18
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f727,plain,
    ( ~ spl0_112
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f112,f224,f724]) ).

fof(f112,axiom,
    ( ~ hskp16
    | ~ c0_1(a1121) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f722,plain,
    ( ~ spl0_27
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f111,f719,f314]) ).

fof(f111,axiom,
    ( ~ c2_1(a1124)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f717,plain,
    ( spl0_110
    | spl0_46
    | spl0_62
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f188,f220,f472,f397,f715]) ).

fof(f188,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X1)
      | hskp5
      | ~ c1_1(X0)
      | c3_1(X0)
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

fof(f713,plain,
    ( spl0_109
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f76,f357,f710]) ).

fof(f76,axiom,
    ( ~ hskp9
    | c0_1(a1108) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f702,plain,
    ( ~ spl0_5
    | spl0_13
    | spl0_102
    | spl0_94 ),
    inference(avatar_split_clause,[],[f175,f635,f672,f254,f220]) ).

fof(f175,axiom,
    ! [X0,X1] :
      ( c3_1(X0)
      | c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | hskp29
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f701,plain,
    ( spl0_42
    | spl0_35
    | spl0_54 ),
    inference(avatar_split_clause,[],[f38,f433,f348,f380]) ).

fof(f38,axiom,
    ( hskp13
    | hskp23
    | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f699,plain,
    ( ~ spl0_29
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f104,f696,f323]) ).

fof(f104,axiom,
    ( ~ c3_1(a1131)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f694,plain,
    ( spl0_106
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f52,f296,f691]) ).

fof(f52,axiom,
    ( ~ hskp28
    | c0_1(a1111) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f689,plain,
    ( ~ spl0_13
    | spl0_105 ),
    inference(avatar_split_clause,[],[f49,f686,f254]) ).

fof(f49,axiom,
    ( c0_1(a1116)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f684,plain,
    ( spl0_104
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f60,f546,f681]) ).

fof(f546,plain,
    ( spl0_77
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f60,axiom,
    ( ~ hskp22
    | c3_1(a1145) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f662,plain,
    ( spl0_99
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f62,f406,f659]) ).

fof(f62,axiom,
    ( ~ hskp19
    | c1_1(a1127) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f657,plain,
    ( spl0_98
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f55,f492,f654]) ).

fof(f55,axiom,
    ( ~ hskp25
    | c2_1(a1172) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f651,plain,
    ( ~ spl0_15
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f120,f648,f263]) ).

fof(f120,axiom,
    ( ~ c3_1(a1114)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f646,plain,
    ( spl0_44
    | spl0_96
    | ~ spl0_5
    | spl0_22 ),
    inference(avatar_split_clause,[],[f163,f292,f220,f642,f389]) ).

fof(f163,axiom,
    ! [X0,X1] :
      ( c1_1(X1)
      | ~ ndr1_0
      | c0_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0)
      | c3_1(X1)
      | hskp1
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f645,plain,
    ( ~ spl0_5
    | spl0_21
    | spl0_38
    | spl0_64 ),
    inference(avatar_split_clause,[],[f181,f481,f362,f289,f220]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( hskp15
      | ~ c1_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f644,plain,
    ( spl0_95
    | spl0_96
    | spl0_69
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f195,f220,f505,f642,f639]) ).

fof(f195,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X2)
      | c3_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | c3_1(X2)
      | ~ c0_1(X0)
      | c2_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).

fof(f637,plain,
    ( spl0_35
    | ~ spl0_5
    | spl0_93
    | spl0_94 ),
    inference(avatar_split_clause,[],[f184,f635,f632,f220,f348]) ).

fof(f184,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | c3_1(X1)
      | hskp23
      | ~ c2_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f625,plain,
    ( spl0_7
    | ~ spl0_5
    | spl0_20
    | spl0_16 ),
    inference(avatar_split_clause,[],[f174,f267,f285,f220,f229]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | hskp3
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f623,plain,
    ( ~ spl0_91
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f124,f357,f620]) ).

fof(f124,axiom,
    ( ~ hskp9
    | ~ c1_1(a1108) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f618,plain,
    ( spl0_73
    | spl0_77
    | ~ spl0_5
    | spl0_68 ),
    inference(avatar_split_clause,[],[f148,f502,f220,f546,f525]) ).

fof(f148,axiom,
    ! [X0] :
      ( c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | hskp22
      | hskp0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f617,plain,
    ( ~ spl0_5
    | spl0_41
    | spl0_49
    | spl0_69 ),
    inference(avatar_split_clause,[],[f190,f505,f410,f373,f220]) ).

fof(f190,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | hskp2
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).

fof(f615,plain,
    ( ~ spl0_5
    | spl0_89
    | spl0_90
    | spl0_69 ),
    inference(avatar_split_clause,[],[f197,f505,f613,f610,f220]) ).

fof(f197,axiom,
    ! [X2,X0,X1] :
      ( ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | c0_1(X2)
      | c1_1(X2)
      | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).

fof(f607,plain,
    ( ~ spl0_14
    | spl0_88 ),
    inference(avatar_split_clause,[],[f73,f604,f259]) ).

fof(f73,axiom,
    ( c0_1(a1113)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f602,plain,
    ( ~ spl0_9
    | spl0_87 ),
    inference(avatar_split_clause,[],[f84,f599,f235]) ).

fof(f84,axiom,
    ( c1_1(a1102)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f597,plain,
    ( ~ spl0_54
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f117,f594,f433]) ).

fof(f117,axiom,
    ( ~ c1_1(a1115)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f592,plain,
    ( spl0_85
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f63,f406,f589]) ).

fof(f63,axiom,
    ( ~ hskp19
    | c3_1(a1127) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f587,plain,
    ( spl0_84
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f70,f336,f584]) ).

fof(f70,axiom,
    ( ~ hskp14
    | c1_1(a1118) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f582,plain,
    ( spl0_83
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f68,f224,f579]) ).

fof(f68,axiom,
    ( ~ hskp16
    | c3_1(a1121) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f577,plain,
    ( spl0_32
    | spl0_42
    | ~ spl0_5
    | spl0_33 ),
    inference(avatar_split_clause,[],[f145,f341,f220,f380,f336]) ).

fof(f145,axiom,
    ! [X0] :
      ( c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | hskp7
      | hskp14
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f576,plain,
    ( ~ spl0_18
    | spl0_82 ),
    inference(avatar_split_clause,[],[f75,f573,f276]) ).

fof(f75,axiom,
    ( c3_1(a1110)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f570,plain,
    ( spl0_81
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f59,f546,f567]) ).

fof(f59,axiom,
    ( ~ hskp22
    | c2_1(a1145) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f565,plain,
    ( ~ spl0_80
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f134,f373,f562]) ).

fof(f134,axiom,
    ( ~ hskp2
    | ~ c3_1(a1100) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f555,plain,
    ( ~ spl0_78
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f100,f348,f552]) ).

fof(f100,axiom,
    ( ~ hskp23
    | ~ c2_1(a1147) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f544,plain,
    ( ~ spl0_5
    | spl0_47
    | spl0_62
    | spl0_38 ),
    inference(avatar_split_clause,[],[f200,f362,f472,f402,f220]) ).

fof(f200,axiom,
    ! [X2,X0,X1] :
      ( ~ c1_1(X2)
      | c0_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X2)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause200) ).

fof(f543,plain,
    ( spl0_48
    | spl0_37
    | ~ spl0_5
    | spl0_47 ),
    inference(avatar_split_clause,[],[f161,f402,f220,f357,f406]) ).

fof(f161,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | hskp9
      | hskp19
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f542,plain,
    ( spl0_76
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f69,f481,f539]) ).

fof(f69,axiom,
    ( ~ hskp15
    | c1_1(a1119) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f537,plain,
    ( ~ spl0_75
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f103,f323,f534]) ).

fof(f103,axiom,
    ( ~ hskp21
    | ~ c0_1(a1131) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f532,plain,
    ( ~ spl0_73
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f136,f529,f525]) ).

fof(f136,axiom,
    ( ~ c1_1(a1098)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f523,plain,
    ( ~ spl0_42
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f128,f520,f380]) ).

fof(f128,axiom,
    ( ~ c1_1(a1105)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f518,plain,
    ( ~ spl0_5
    | spl0_41
    | spl0_16
    | spl0_23 ),
    inference(avatar_split_clause,[],[f143,f296,f267,f373,f220]) ).

fof(f143,axiom,
    ! [X0] :
      ( hskp28
      | c2_1(X0)
      | hskp2
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f517,plain,
    ( ~ spl0_48
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f108,f514,f406]) ).

fof(f108,axiom,
    ( ~ c2_1(a1127)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f511,plain,
    ( ~ spl0_5
    | spl0_70
    | spl0_41
    | spl0_6 ),
    inference(avatar_split_clause,[],[f146,f224,f373,f509,f220]) ).

fof(f146,axiom,
    ! [X0] :
      ( hskp16
      | hskp2
      | ~ c2_1(X0)
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f507,plain,
    ( ~ spl0_5
    | spl0_67
    | spl0_68
    | spl0_69 ),
    inference(avatar_split_clause,[],[f199,f505,f502,f499,f220]) ).

fof(f199,axiom,
    ! [X2,X0,X1] :
      ( ~ c2_1(X0)
      | c2_1(X2)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | c2_1(X1)
      | c1_1(X2)
      | ~ c3_1(X2)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause199) ).

fof(f497,plain,
    ( ~ spl0_5
    | spl0_1
    | spl0_48
    | spl0_45 ),
    inference(avatar_split_clause,[],[f142,f394,f406,f202,f220]) ).

fof(f142,axiom,
    ! [X0] :
      ( c1_1(X0)
      | hskp19
      | c3_1(X0)
      | hskp8
      | ~ ndr1_0
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f495,plain,
    ( spl0_14
    | spl0_27
    | spl0_66 ),
    inference(avatar_split_clause,[],[f39,f492,f314,f259]) ).

fof(f39,axiom,
    ( hskp25
    | hskp17
    | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f490,plain,
    ( ~ spl0_15
    | spl0_65 ),
    inference(avatar_split_clause,[],[f72,f487,f263]) ).

fof(f72,axiom,
    ( c2_1(a1114)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f484,plain,
    ( ~ spl0_63
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f114,f481,f477]) ).

fof(f114,axiom,
    ( ~ hskp15
    | ~ c2_1(a1119) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f466,plain,
    ( ~ spl0_60
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f125,f357,f463]) ).

fof(f125,axiom,
    ( ~ hskp9
    | ~ c3_1(a1108) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f461,plain,
    ( spl0_5
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f26,f380,f220]) ).

fof(f26,axiom,
    ( ~ hskp7
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).

fof(f460,plain,
    ( spl0_59
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f64,f447,f457]) ).

fof(f64,axiom,
    ( ~ hskp18
    | c0_1(a1125) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f455,plain,
    ( spl0_58
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f74,f259,f452]) ).

fof(f74,axiom,
    ( ~ hskp11
    | c3_1(a1113) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f445,plain,
    ( ~ spl0_55
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f107,f442,f438]) ).

fof(f107,axiom,
    ( ~ c3_1(a1130)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f436,plain,
    ( ~ spl0_5
    | spl0_37
    | spl0_54
    | spl0_21 ),
    inference(avatar_split_clause,[],[f158,f289,f433,f357,f220]) ).

fof(f158,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | c3_1(X0)
      | hskp13
      | ~ c0_1(X0)
      | hskp9
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f431,plain,
    ( spl0_53
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f77,f202,f428]) ).

fof(f77,axiom,
    ( ~ hskp8
    | c3_1(a1107) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f426,plain,
    ( spl0_51
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f47,f423,f419]) ).

fof(f47,axiom,
    ( ~ hskp30
    | c2_1(a1136) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f417,plain,
    ( spl0_50
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f66,f314,f414]) ).

fof(f66,axiom,
    ( ~ hskp17
    | c0_1(a1124) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f404,plain,
    ( spl0_18
    | ~ spl0_5
    | spl0_47
    | spl0_16 ),
    inference(avatar_split_clause,[],[f178,f267,f402,f220,f276]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f400,plain,
    ( ~ spl0_5
    | spl0_42
    | spl0_45
    | spl0_46 ),
    inference(avatar_split_clause,[],[f141,f397,f394,f380,f220]) ).

fof(f141,axiom,
    ! [X0] :
      ( hskp5
      | c1_1(X0)
      | c2_1(X0)
      | hskp7
      | ~ ndr1_0
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

fof(f387,plain,
    ( ~ spl0_42
    | spl0_43 ),
    inference(avatar_split_clause,[],[f79,f384,f380]) ).

fof(f79,axiom,
    ( c3_1(a1105)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f376,plain,
    ( spl0_40
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f88,f373,f369]) ).

fof(f88,axiom,
    ( ~ hskp2
    | c2_1(a1100) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f367,plain,
    ( ~ spl0_5
    | spl0_38
    | spl0_6
    | spl0_39 ),
    inference(avatar_split_clause,[],[f180,f365,f224,f362,f220]) ).

fof(f180,axiom,
    ! [X0,X1] :
      ( c2_1(X0)
      | ~ c0_1(X0)
      | hskp16
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f355,plain,
    ( ~ spl0_35
    | spl0_36 ),
    inference(avatar_split_clause,[],[f58,f352,f348]) ).

fof(f58,axiom,
    ( c0_1(a1147)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f346,plain,
    ( ~ spl0_5
    | spl0_33
    | spl0_13
    | spl0_34 ),
    inference(avatar_split_clause,[],[f170,f344,f254,f341,f220]) ).

fof(f170,axiom,
    ! [X0,X1] :
      ( c2_1(X0)
      | hskp29
      | c2_1(X1)
      | ~ c1_1(X0)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f339,plain,
    ( ~ spl0_31
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f116,f336,f332]) ).

fof(f116,axiom,
    ( ~ hskp14
    | ~ c3_1(a1118) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f330,plain,
    ( ~ spl0_29
    | spl0_30 ),
    inference(avatar_split_clause,[],[f61,f327,f323]) ).

fof(f61,axiom,
    ( c1_1(a1131)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f321,plain,
    ( ~ spl0_27
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f110,f318,f314]) ).

fof(f110,axiom,
    ( ~ c1_1(a1124)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f312,plain,
    ( ~ spl0_25
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f96,f309,f305]) ).

fof(f96,axiom,
    ( ~ c2_1(a1180)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f303,plain,
    ( ~ spl0_23
    | spl0_24 ),
    inference(avatar_split_clause,[],[f54,f300,f296]) ).

fof(f54,axiom,
    ( c2_1(a1111)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f294,plain,
    ( spl0_20
    | spl0_21
    | ~ spl0_5
    | spl0_22 ),
    inference(avatar_split_clause,[],[f166,f292,f220,f289,f285]) ).

fof(f166,axiom,
    ! [X0,X1] :
      ( c3_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0)
      | hskp3
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f283,plain,
    ( ~ spl0_18
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f123,f280,f276]) ).

fof(f123,axiom,
    ( ~ c2_1(a1110)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f269,plain,
    ( ~ spl0_5
    | spl0_14
    | spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f144,f267,f263,f259,f220]) ).

fof(f144,axiom,
    ! [X0] :
      ( c2_1(X0)
      | hskp12
      | hskp11
      | ~ c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f252,plain,
    ( ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f99,f249,f245]) ).

fof(f99,axiom,
    ( ~ hskp24
    | ~ c0_1(a1149) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f238,plain,
    ( ~ spl0_5
    | spl0_7
    | spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f176,f235,f232,f229,f220]) ).

fof(f176,axiom,
    ! [X0,X1] :
      ( hskp4
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f209,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f127,f206,f202]) ).

fof(f127,axiom,
    ( ~ c1_1(a1107)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN476-1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.36  % Computer : n018.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Aug 30 22:01:40 EDT 2022
% 0.15/0.36  % CPUTime    : 
% 1.12/0.51  % (26562)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.12/0.52  % (26578)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)
% 1.12/0.52  % (26570)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)
% 1.12/0.53  % (26562)Instruction limit reached!
% 1.12/0.53  % (26562)------------------------------
% 1.12/0.53  % (26562)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.12/0.53  % (26562)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.12/0.53  % (26562)Termination reason: Unknown
% 1.12/0.53  % (26562)Termination phase: Saturation
% 1.12/0.53  
% 1.12/0.53  % (26562)Memory used [KB]: 6012
% 1.12/0.53  % (26562)Time elapsed: 0.103 s
% 1.12/0.53  % (26562)Instructions burned: 7 (million)
% 1.12/0.53  % (26562)------------------------------
% 1.12/0.53  % (26562)------------------------------
% 1.25/0.53  % (26555)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.25/0.53  % (26559)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.25/0.54  Detected maximum model sizes of [32]
% 1.25/0.54  TRYING [1]
% 1.25/0.54  TRYING [2]
% 1.25/0.54  % (26563)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.25/0.54  % (26557)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)
% 1.25/0.54  % (26563)Instruction limit reached!
% 1.25/0.54  % (26563)------------------------------
% 1.25/0.54  % (26563)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.54  % (26563)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.54  % (26563)Termination reason: Unknown
% 1.25/0.54  % (26563)Termination phase: Blocked clause elimination
% 1.25/0.54  
% 1.25/0.54  % (26563)Memory used [KB]: 1151
% 1.25/0.54  % (26563)Time elapsed: 0.002 s
% 1.25/0.54  % (26563)Instructions burned: 3 (million)
% 1.25/0.54  % (26563)------------------------------
% 1.25/0.54  % (26563)------------------------------
% 1.25/0.54  % (26577)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)
% 1.25/0.54  % (26560)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)
% 1.25/0.55  % (26558)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)
% 1.25/0.55  TRYING [3]
% 1.25/0.55  % (26569)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)
% 1.25/0.55  % (26583)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.25/0.55  % (26580)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.25/0.55  TRYING [4]
% 1.25/0.55  % (26556)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)
% 1.25/0.56  % (26579)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.25/0.56  % (26573)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.25/0.56  % (26561)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)
% 1.25/0.56  % (26582)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)
% 1.25/0.56  Detected maximum model sizes of [32]
% 1.25/0.56  TRYING [1]
% 1.25/0.56  TRYING [2]
% 1.25/0.56  % (26572)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.25/0.56  % (26567)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.25/0.56  % (26574)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)
% 1.25/0.57  % (26575)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)
% 1.25/0.57  % (26564)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)
% 1.25/0.57  % (26581)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)
% 1.25/0.57  % (26566)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)
% 1.25/0.57  % (26568)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.25/0.58  % (26565)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.25/0.58  % (26571)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)
% 1.25/0.58  % (26584)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)
% 1.25/0.58  TRYING [3]
% 1.25/0.58  % (26576)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.25/0.59  TRYING [4]
% 1.25/0.59  Detected maximum model sizes of [32]
% 1.25/0.59  TRYING [1]
% 1.25/0.59  TRYING [2]
% 1.25/0.59  TRYING [3]
% 1.25/0.60  TRYING [5]
% 1.25/0.61  % (26558)First to succeed.
% 1.25/0.61  % (26556)Refutation not found, incomplete strategy% (26556)------------------------------
% 1.25/0.61  % (26556)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.61  % (26556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.61  % (26556)Termination reason: Refutation not found, incomplete strategy
% 1.25/0.61  
% 1.25/0.61  % (26556)Memory used [KB]: 6524
% 1.25/0.61  % (26556)Time elapsed: 0.172 s
% 1.25/0.61  % (26556)Instructions burned: 34 (million)
% 1.25/0.61  % (26556)------------------------------
% 1.25/0.61  % (26556)------------------------------
% 1.25/0.61  TRYING [4]
% 1.25/0.61  % (26570)Instruction limit reached!
% 1.25/0.61  % (26570)------------------------------
% 1.25/0.61  % (26570)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.61  % (26570)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.61  % (26570)Termination reason: Unknown
% 1.25/0.61  % (26570)Termination phase: Saturation
% 1.25/0.61  
% 1.25/0.61  % (26570)Memory used [KB]: 1279
% 1.25/0.61  % (26570)Time elapsed: 0.189 s
% 1.25/0.61  % (26570)Instructions burned: 75 (million)
% 1.25/0.61  % (26570)------------------------------
% 1.25/0.61  % (26570)------------------------------
% 1.25/0.62  % (26557)Instruction limit reached!
% 1.25/0.62  % (26557)------------------------------
% 1.25/0.62  % (26557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.62  % (26557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.62  % (26557)Termination reason: Unknown
% 1.25/0.62  % (26557)Termination phase: Saturation
% 1.25/0.62  
% 1.25/0.62  % (26557)Memory used [KB]: 1279
% 1.25/0.62  % (26557)Time elapsed: 0.177 s
% 1.25/0.62  % (26557)Instructions burned: 39 (million)
% 1.25/0.62  % (26557)------------------------------
% 1.25/0.62  % (26557)------------------------------
% 1.25/0.62  % (26561)Instruction limit reached!
% 1.25/0.62  % (26561)------------------------------
% 1.25/0.62  % (26561)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.62  % (26561)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.62  % (26561)Termination reason: Unknown
% 1.25/0.62  % (26561)Termination phase: Finite model building SAT solving
% 1.25/0.62  
% 1.25/0.62  % (26561)Memory used [KB]: 6140
% 1.25/0.62  % (26561)Time elapsed: 0.133 s
% 1.25/0.62  % (26561)Instructions burned: 51 (million)
% 1.25/0.62  % (26561)------------------------------
% 1.25/0.62  % (26561)------------------------------
% 2.01/0.63  % (26565)Also succeeded, but the first one will report.
% 2.01/0.63  % (26558)Refutation found. Thanks to Tanya!
% 2.01/0.63  % SZS status Unsatisfiable for theBenchmark
% 2.01/0.63  % SZS output start Proof for theBenchmark
% See solution above
% 2.01/0.64  % (26558)------------------------------
% 2.01/0.64  % (26558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.64  % (26558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.64  % (26558)Termination reason: Refutation
% 2.01/0.64  
% 2.01/0.64  % (26558)Memory used [KB]: 6780
% 2.01/0.64  % (26558)Time elapsed: 0.194 s
% 2.01/0.64  % (26558)Instructions burned: 36 (million)
% 2.01/0.64  % (26558)------------------------------
% 2.01/0.64  % (26558)------------------------------
% 2.01/0.64  % (26554)Success in time 0.265 s
%------------------------------------------------------------------------------