TSTP Solution File: SYN487-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN487-1 : 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 : n020.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 19:38:27 EDT 2022

% Result   : Unsatisfiable 1.61s 0.56s
% Output   : Refutation 1.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  297
% Syntax   : Number of formulae    :  677 (   1 unt;   0 def)
%            Number of atoms       : 2095 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2441 (1023   ~;1255   |;   0   &)
%                                         ( 163 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  198 ( 197 usr; 194 prp; 0-1 aty)
%            Number of functors    :   29 (  29 usr;  29 con; 0-0 aty)
%            Number of variables   :  127 ( 127   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2489,plain,
    $false,
    inference(avatar_sat_refutation,[],[f219,f231,f252,f271,f276,f285,f303,f308,f316,f321,f330,f339,f345,f350,f359,f371,f376,f385,f394,f403,f408,f417,f424,f433,f452,f456,f471,f480,f489,f494,f499,f504,f511,f516,f521,f525,f531,f536,f541,f547,f553,f557,f562,f573,f578,f583,f588,f593,f598,f604,f609,f610,f615,f620,f621,f622,f623,f625,f635,f641,f646,f648,f652,f658,f663,f668,f673,f683,f689,f693,f702,f706,f707,f712,f719,f729,f730,f736,f741,f746,f751,f755,f756,f761,f762,f768,f769,f780,f785,f791,f800,f805,f806,f808,f819,f826,f828,f834,f836,f841,f852,f858,f863,f868,f874,f880,f887,f893,f898,f899,f903,f908,f913,f918,f923,f929,f939,f944,f949,f954,f956,f961,f970,f976,f981,f982,f988,f993,f994,f995,f1000,f1005,f1010,f1012,f1021,f1030,f1046,f1047,f1054,f1060,f1077,f1095,f1108,f1130,f1155,f1156,f1158,f1164,f1167,f1187,f1188,f1189,f1195,f1207,f1210,f1230,f1231,f1237,f1251,f1288,f1289,f1303,f1311,f1315,f1320,f1340,f1341,f1375,f1376,f1377,f1389,f1507,f1509,f1523,f1547,f1616,f1654,f1656,f1658,f1659,f1696,f1711,f1712,f1713,f1714,f1719,f1740,f1741,f1743,f1744,f1786,f1806,f1809,f1811,f1831,f1876,f1915,f1954,f2004,f2009,f2049,f2050,f2070,f2074,f2176,f2222,f2245,f2246,f2247,f2249,f2342,f2408,f2416,f2424,f2488]) ).

fof(f2488,plain,
    ( spl0_30
    | spl0_150
    | ~ spl0_54
    | spl0_131 ),
    inference(avatar_split_clause,[],[f2484,f849,f435,f951,f327]) ).

fof(f327,plain,
    ( spl0_30
  <=> c2_1(a2306) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f951,plain,
    ( spl0_150
  <=> c3_1(a2306) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f435,plain,
    ( spl0_54
  <=> ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f849,plain,
    ( spl0_131
  <=> c1_1(a2306) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f2484,plain,
    ( c3_1(a2306)
    | c2_1(a2306)
    | ~ spl0_54
    | spl0_131 ),
    inference(resolution,[],[f436,f851]) ).

fof(f851,plain,
    ( ~ c1_1(a2306)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f436,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f2424,plain,
    ( spl0_170
    | spl0_129
    | ~ spl0_47
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2423,f704,f405,f831,f1110]) ).

fof(f1110,plain,
    ( spl0_170
  <=> c3_1(a2286) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f831,plain,
    ( spl0_129
  <=> c2_1(a2286) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f405,plain,
    ( spl0_47
  <=> c1_1(a2286) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f704,plain,
    ( spl0_107
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2423,plain,
    ( c2_1(a2286)
    | c3_1(a2286)
    | ~ spl0_47
    | ~ spl0_107 ),
    inference(resolution,[],[f407,f705]) ).

fof(f705,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f407,plain,
    ( c1_1(a2286)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f2416,plain,
    ( spl0_124
    | spl0_162
    | ~ spl0_140
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2395,f958,f901,f1033,f797]) ).

fof(f797,plain,
    ( spl0_124
  <=> c1_1(a2323) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1033,plain,
    ( spl0_162
  <=> c0_1(a2323) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f901,plain,
    ( spl0_140
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f958,plain,
    ( spl0_151
  <=> c3_1(a2323) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f2395,plain,
    ( c0_1(a2323)
    | c1_1(a2323)
    | ~ spl0_140
    | ~ spl0_151 ),
    inference(resolution,[],[f902,f960]) ).

fof(f960,plain,
    ( c3_1(a2323)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f958]) ).

fof(f902,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f2408,plain,
    ( spl0_86
    | spl0_41
    | ~ spl0_76
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2391,f901,f538,f378,f590]) ).

fof(f590,plain,
    ( spl0_86
  <=> c0_1(a2345) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f378,plain,
    ( spl0_41
  <=> c1_1(a2345) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f538,plain,
    ( spl0_76
  <=> c3_1(a2345) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2391,plain,
    ( c1_1(a2345)
    | c0_1(a2345)
    | ~ spl0_76
    | ~ spl0_140 ),
    inference(resolution,[],[f902,f540]) ).

fof(f540,plain,
    ( c3_1(a2345)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f2342,plain,
    ( ~ spl0_157
    | ~ spl0_179
    | ~ spl0_15
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2337,f743,f263,f1317,f997]) ).

fof(f997,plain,
    ( spl0_157
  <=> c0_1(a2277) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1317,plain,
    ( spl0_179
  <=> c3_1(a2277) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f263,plain,
    ( spl0_15
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f743,plain,
    ( spl0_114
  <=> c1_1(a2277) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f2337,plain,
    ( ~ c3_1(a2277)
    | ~ c0_1(a2277)
    | ~ spl0_15
    | ~ spl0_114 ),
    inference(resolution,[],[f264,f745]) ).

fof(f745,plain,
    ( c1_1(a2277)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f264,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f2249,plain,
    ( spl0_162
    | spl0_124
    | ~ spl0_66
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2230,f811,f491,f797,f1033]) ).

fof(f491,plain,
    ( spl0_66
  <=> c2_1(a2323) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f811,plain,
    ( spl0_126
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f2230,plain,
    ( c1_1(a2323)
    | c0_1(a2323)
    | ~ spl0_66
    | ~ spl0_126 ),
    inference(resolution,[],[f812,f493]) ).

fof(f493,plain,
    ( c2_1(a2323)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f812,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f2247,plain,
    ( spl0_188
    | spl0_115
    | ~ spl0_49
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2237,f811,f414,f748,f1716]) ).

fof(f1716,plain,
    ( spl0_188
  <=> c1_1(a2282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).

fof(f748,plain,
    ( spl0_115
  <=> c0_1(a2282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f414,plain,
    ( spl0_49
  <=> c2_1(a2282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f2237,plain,
    ( c0_1(a2282)
    | c1_1(a2282)
    | ~ spl0_49
    | ~ spl0_126 ),
    inference(resolution,[],[f812,f416]) ).

fof(f416,plain,
    ( c2_1(a2282)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f2246,plain,
    ( spl0_154
    | spl0_65
    | ~ spl0_126
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2240,f1023,f811,f486,f978]) ).

fof(f978,plain,
    ( spl0_154
  <=> c0_1(a2284) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f486,plain,
    ( spl0_65
  <=> c1_1(a2284) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1023,plain,
    ( spl0_161
  <=> c2_1(a2284) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f2240,plain,
    ( c1_1(a2284)
    | c0_1(a2284)
    | ~ spl0_126
    | ~ spl0_161 ),
    inference(resolution,[],[f812,f1025]) ).

fof(f1025,plain,
    ( c2_1(a2284)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1023]) ).

fof(f2245,plain,
    ( spl0_86
    | spl0_41
    | ~ spl0_126
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f2227,f1057,f811,f378,f590]) ).

fof(f1057,plain,
    ( spl0_164
  <=> c2_1(a2345) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f2227,plain,
    ( c1_1(a2345)
    | c0_1(a2345)
    | ~ spl0_126
    | ~ spl0_164 ),
    inference(resolution,[],[f812,f1059]) ).

fof(f1059,plain,
    ( c2_1(a2345)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1057]) ).

fof(f2222,plain,
    ( ~ spl0_20
    | ~ spl0_133
    | ~ spl0_123
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2205,f936,f793,f860,f282]) ).

fof(f282,plain,
    ( spl0_20
  <=> c2_1(a2315) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f860,plain,
    ( spl0_133
  <=> c3_1(a2315) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f793,plain,
    ( spl0_123
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f936,plain,
    ( spl0_147
  <=> c1_1(a2315) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f2205,plain,
    ( ~ c3_1(a2315)
    | ~ c2_1(a2315)
    | ~ spl0_123
    | ~ spl0_147 ),
    inference(resolution,[],[f794,f938]) ).

fof(f938,plain,
    ( c1_1(a2315)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f794,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f2176,plain,
    ( spl0_129
    | spl0_135
    | ~ spl0_47
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f2168,f727,f405,f871,f831]) ).

fof(f871,plain,
    ( spl0_135
  <=> c0_1(a2286) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f727,plain,
    ( spl0_111
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f2168,plain,
    ( c0_1(a2286)
    | c2_1(a2286)
    | ~ spl0_47
    | ~ spl0_111 ),
    inference(resolution,[],[f728,f407]) ).

fof(f728,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f2074,plain,
    ( ~ spl0_167
    | ~ spl0_100
    | ~ spl0_32
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f2073,f430,f336,f670,f1086]) ).

fof(f1086,plain,
    ( spl0_167
  <=> c2_1(a2285) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f670,plain,
    ( spl0_100
  <=> c0_1(a2285) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f336,plain,
    ( spl0_32
  <=> c1_1(a2285) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f430,plain,
    ( spl0_53
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f2073,plain,
    ( ~ c0_1(a2285)
    | ~ c2_1(a2285)
    | ~ spl0_32
    | ~ spl0_53 ),
    inference(resolution,[],[f338,f431]) ).

fof(f431,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f338,plain,
    ( c1_1(a2285)
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f2070,plain,
    ( ~ spl0_173
    | spl0_134
    | ~ spl0_96
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2062,f905,f650,f865,f1161]) ).

fof(f1161,plain,
    ( spl0_173
  <=> c2_1(a2324) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f865,plain,
    ( spl0_134
  <=> c3_1(a2324) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f650,plain,
    ( spl0_96
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f905,plain,
    ( spl0_141
  <=> c1_1(a2324) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f2062,plain,
    ( c3_1(a2324)
    | ~ c2_1(a2324)
    | ~ spl0_96
    | ~ spl0_141 ),
    inference(resolution,[],[f651,f907]) ).

fof(f907,plain,
    ( c1_1(a2324)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f651,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f2050,plain,
    ( ~ spl0_158
    | ~ spl0_108
    | ~ spl0_53
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f2042,f1305,f430,f709,f1002]) ).

fof(f1002,plain,
    ( spl0_158
  <=> c2_1(a2293) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f709,plain,
    ( spl0_108
  <=> c0_1(a2293) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1305,plain,
    ( spl0_178
  <=> c1_1(a2293) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f2042,plain,
    ( ~ c0_1(a2293)
    | ~ c2_1(a2293)
    | ~ spl0_53
    | ~ spl0_178 ),
    inference(resolution,[],[f431,f1307]) ).

fof(f1307,plain,
    ( c1_1(a2293)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f1305]) ).

fof(f2049,plain,
    ( ~ spl0_152
    | ~ spl0_90
    | ~ spl0_53
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2033,f920,f430,f612,f967]) ).

fof(f967,plain,
    ( spl0_152
  <=> c0_1(a2309) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f612,plain,
    ( spl0_90
  <=> c2_1(a2309) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f920,plain,
    ( spl0_144
  <=> c1_1(a2309) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2033,plain,
    ( ~ c2_1(a2309)
    | ~ c0_1(a2309)
    | ~ spl0_53
    | ~ spl0_144 ),
    inference(resolution,[],[f431,f922]) ).

fof(f922,plain,
    ( c1_1(a2309)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f920]) ).

fof(f2009,plain,
    ( spl0_178
    | spl0_127
    | ~ spl0_70
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1926,f709,f509,f816,f1305]) ).

fof(f816,plain,
    ( spl0_127
  <=> c3_1(a2293) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f509,plain,
    ( spl0_70
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1926,plain,
    ( c3_1(a2293)
    | c1_1(a2293)
    | ~ spl0_70
    | ~ spl0_108 ),
    inference(resolution,[],[f510,f711]) ).

fof(f711,plain,
    ( c0_1(a2293)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f510,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f2004,plain,
    ( ~ spl0_128
    | ~ spl0_72
    | ~ spl0_50
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f1993,f1651,f419,f518,f823]) ).

fof(f823,plain,
    ( spl0_128
  <=> c2_1(a2287) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f518,plain,
    ( spl0_72
  <=> c0_1(a2287) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f419,plain,
    ( spl0_50
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1651,plain,
    ( spl0_187
  <=> c3_1(a2287) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f1993,plain,
    ( ~ c0_1(a2287)
    | ~ c2_1(a2287)
    | ~ spl0_50
    | ~ spl0_187 ),
    inference(resolution,[],[f420,f1653]) ).

fof(f1653,plain,
    ( c3_1(a2287)
    | ~ spl0_187 ),
    inference(avatar_component_clause,[],[f1651]) ).

fof(f420,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f1954,plain,
    ( spl0_121
    | ~ spl0_176
    | ~ spl0_104
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1941,f895,f691,f1234,f782]) ).

fof(f782,plain,
    ( spl0_121
  <=> c2_1(a2308) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1234,plain,
    ( spl0_176
  <=> c0_1(a2308) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f691,plain,
    ( spl0_104
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f895,plain,
    ( spl0_139
  <=> c3_1(a2308) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1941,plain,
    ( ~ c0_1(a2308)
    | c2_1(a2308)
    | ~ spl0_104
    | ~ spl0_139 ),
    inference(resolution,[],[f692,f897]) ).

fof(f897,plain,
    ( c3_1(a2308)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f895]) ).

fof(f692,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f691]) ).

fof(f1915,plain,
    ( spl0_109
    | spl0_179
    | ~ spl0_69
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1913,f997,f506,f1317,f716]) ).

fof(f716,plain,
    ( spl0_109
  <=> c2_1(a2277) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f506,plain,
    ( spl0_69
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1913,plain,
    ( c3_1(a2277)
    | c2_1(a2277)
    | ~ spl0_69
    | ~ spl0_157 ),
    inference(resolution,[],[f507,f999]) ).

fof(f999,plain,
    ( c0_1(a2277)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f997]) ).

fof(f507,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f1876,plain,
    ( spl0_115
    | spl0_138
    | ~ spl0_27
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f1872,f1716,f314,f890,f748]) ).

fof(f890,plain,
    ( spl0_138
  <=> c3_1(a2282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f314,plain,
    ( spl0_27
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1872,plain,
    ( c3_1(a2282)
    | c0_1(a2282)
    | ~ spl0_27
    | ~ spl0_188 ),
    inference(resolution,[],[f315,f1718]) ).

fof(f1718,plain,
    ( c1_1(a2282)
    | ~ spl0_188 ),
    inference(avatar_component_clause,[],[f1716]) ).

fof(f315,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f1831,plain,
    ( spl0_30
    | spl0_163
    | ~ spl0_4
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1827,f951,f217,f1043,f327]) ).

fof(f1043,plain,
    ( spl0_163
  <=> c0_1(a2306) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f217,plain,
    ( spl0_4
  <=> ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1827,plain,
    ( c0_1(a2306)
    | c2_1(a2306)
    | ~ spl0_4
    | spl0_150 ),
    inference(resolution,[],[f218,f953]) ).

fof(f953,plain,
    ( ~ c3_1(a2306)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f218,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f1811,plain,
    ( spl0_121
    | spl0_176
    | ~ spl0_116
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1798,f895,f753,f1234,f782]) ).

fof(f753,plain,
    ( spl0_116
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1798,plain,
    ( c0_1(a2308)
    | c2_1(a2308)
    | ~ spl0_116
    | ~ spl0_139 ),
    inference(resolution,[],[f754,f897]) ).

fof(f754,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f1809,plain,
    ( spl0_175
    | spl0_77
    | ~ spl0_57
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1804,f753,f449,f544,f1192]) ).

fof(f1192,plain,
    ( spl0_175
  <=> c2_1(a2276) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f544,plain,
    ( spl0_77
  <=> c0_1(a2276) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f449,plain,
    ( spl0_57
  <=> c3_1(a2276) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1804,plain,
    ( c0_1(a2276)
    | c2_1(a2276)
    | ~ spl0_57
    | ~ spl0_116 ),
    inference(resolution,[],[f754,f451]) ).

fof(f451,plain,
    ( c3_1(a2276)
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f1806,plain,
    ( spl0_149
    | spl0_23
    | ~ spl0_116
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1795,f990,f753,f296,f946]) ).

fof(f946,plain,
    ( spl0_149
  <=> c0_1(a2327) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f296,plain,
    ( spl0_23
  <=> c2_1(a2327) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f990,plain,
    ( spl0_156
  <=> c3_1(a2327) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f1795,plain,
    ( c2_1(a2327)
    | c0_1(a2327)
    | ~ spl0_116
    | ~ spl0_156 ),
    inference(resolution,[],[f754,f992]) ).

fof(f992,plain,
    ( c3_1(a2327)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f990]) ).

fof(f1786,plain,
    ( spl0_40
    | spl0_159
    | ~ spl0_75
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1779,f704,f533,f1007,f373]) ).

fof(f373,plain,
    ( spl0_40
  <=> c3_1(a2316) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1007,plain,
    ( spl0_159
  <=> c2_1(a2316) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f533,plain,
    ( spl0_75
  <=> c1_1(a2316) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1779,plain,
    ( c2_1(a2316)
    | c3_1(a2316)
    | ~ spl0_75
    | ~ spl0_107 ),
    inference(resolution,[],[f705,f535]) ).

fof(f535,plain,
    ( c1_1(a2316)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f1744,plain,
    ( spl0_174
    | ~ spl0_20
    | ~ spl0_73
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1668,f936,f523,f282,f1170]) ).

fof(f1170,plain,
    ( spl0_174
  <=> c0_1(a2315) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f523,plain,
    ( spl0_73
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1668,plain,
    ( ~ c2_1(a2315)
    | c0_1(a2315)
    | ~ spl0_73
    | ~ spl0_147 ),
    inference(resolution,[],[f524,f938]) ).

fof(f524,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f523]) ).

fof(f1743,plain,
    ( ~ spl0_43
    | spl0_99
    | ~ spl0_73
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1670,f733,f523,f665,f387]) ).

fof(f387,plain,
    ( spl0_43
  <=> c2_1(a2367) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f665,plain,
    ( spl0_99
  <=> c0_1(a2367) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f733,plain,
    ( spl0_112
  <=> c1_1(a2367) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1670,plain,
    ( c0_1(a2367)
    | ~ c2_1(a2367)
    | ~ spl0_73
    | ~ spl0_112 ),
    inference(resolution,[],[f524,f735]) ).

fof(f735,plain,
    ( c1_1(a2367)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f1741,plain,
    ( spl0_168
    | ~ spl0_91
    | ~ spl0_95
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1724,f691,f643,f617,f1092]) ).

fof(f1092,plain,
    ( spl0_168
  <=> c2_1(a2278) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f617,plain,
    ( spl0_91
  <=> c0_1(a2278) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f643,plain,
    ( spl0_95
  <=> c3_1(a2278) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1724,plain,
    ( ~ c0_1(a2278)
    | c2_1(a2278)
    | ~ spl0_95
    | ~ spl0_104 ),
    inference(resolution,[],[f692,f645]) ).

fof(f645,plain,
    ( c3_1(a2278)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f643]) ).

fof(f1740,plain,
    ( spl0_109
    | ~ spl0_157
    | ~ spl0_104
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f1736,f1317,f691,f997,f716]) ).

fof(f1736,plain,
    ( ~ c0_1(a2277)
    | c2_1(a2277)
    | ~ spl0_104
    | ~ spl0_179 ),
    inference(resolution,[],[f692,f1319]) ).

fof(f1319,plain,
    ( c3_1(a2277)
    | ~ spl0_179 ),
    inference(avatar_component_clause,[],[f1317]) ).

fof(f1719,plain,
    ( spl0_188
    | spl0_138
    | ~ spl0_49
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1710,f607,f414,f890,f1716]) ).

fof(f607,plain,
    ( spl0_89
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1710,plain,
    ( c3_1(a2282)
    | c1_1(a2282)
    | ~ spl0_49
    | ~ spl0_89 ),
    inference(resolution,[],[f608,f416]) ).

fof(f608,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f1714,plain,
    ( spl0_83
    | spl0_142
    | ~ spl0_78
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1706,f607,f550,f910,f575]) ).

fof(f575,plain,
    ( spl0_83
  <=> c3_1(a2299) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f910,plain,
    ( spl0_142
  <=> c1_1(a2299) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f550,plain,
    ( spl0_78
  <=> c2_1(a2299) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1706,plain,
    ( c1_1(a2299)
    | c3_1(a2299)
    | ~ spl0_78
    | ~ spl0_89 ),
    inference(resolution,[],[f608,f552]) ).

fof(f552,plain,
    ( c2_1(a2299)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f1713,plain,
    ( spl0_187
    | spl0_130
    | ~ spl0_89
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1709,f823,f607,f838,f1651]) ).

fof(f838,plain,
    ( spl0_130
  <=> c1_1(a2287) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1709,plain,
    ( c1_1(a2287)
    | c3_1(a2287)
    | ~ spl0_89
    | ~ spl0_128 ),
    inference(resolution,[],[f608,f825]) ).

fof(f825,plain,
    ( c2_1(a2287)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f823]) ).

fof(f1712,plain,
    ( spl0_67
    | spl0_143
    | ~ spl0_89
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1707,f1285,f607,f915,f496]) ).

fof(f496,plain,
    ( spl0_67
  <=> c3_1(a2295) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f915,plain,
    ( spl0_143
  <=> c1_1(a2295) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1285,plain,
    ( spl0_177
  <=> c2_1(a2295) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f1707,plain,
    ( c1_1(a2295)
    | c3_1(a2295)
    | ~ spl0_89
    | ~ spl0_177 ),
    inference(resolution,[],[f608,f1287]) ).

fof(f1287,plain,
    ( c2_1(a2295)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1285]) ).

fof(f1711,plain,
    ( spl0_127
    | spl0_178
    | ~ spl0_89
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1708,f1002,f607,f1305,f816]) ).

fof(f1708,plain,
    ( c1_1(a2293)
    | c3_1(a2293)
    | ~ spl0_89
    | ~ spl0_158 ),
    inference(resolution,[],[f608,f1004]) ).

fof(f1004,plain,
    ( c2_1(a2293)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1002]) ).

fof(f1696,plain,
    ( spl0_77
    | ~ spl0_57
    | ~ spl0_79
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1692,f595,f555,f449,f544]) ).

fof(f555,plain,
    ( spl0_79
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f595,plain,
    ( spl0_87
  <=> c1_1(a2276) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1692,plain,
    ( ~ c3_1(a2276)
    | c0_1(a2276)
    | ~ spl0_79
    | ~ spl0_87 ),
    inference(resolution,[],[f556,f597]) ).

fof(f597,plain,
    ( c1_1(a2276)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f556,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f1659,plain,
    ( spl0_185
    | spl0_153
    | ~ spl0_54
    | spl0_117 ),
    inference(avatar_split_clause,[],[f1524,f758,f435,f973,f1520]) ).

fof(f1520,plain,
    ( spl0_185
  <=> c3_1(a2294) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f973,plain,
    ( spl0_153
  <=> c2_1(a2294) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f758,plain,
    ( spl0_117
  <=> c1_1(a2294) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1524,plain,
    ( c2_1(a2294)
    | c3_1(a2294)
    | ~ spl0_54
    | spl0_117 ),
    inference(resolution,[],[f760,f436]) ).

fof(f760,plain,
    ( ~ c1_1(a2294)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f1658,plain,
    ( spl0_69
    | ~ spl0_51
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1614,f435,f422,f506]) ).

fof(f422,plain,
    ( spl0_51
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1614,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_51
    | ~ spl0_54 ),
    inference(duplicate_literal_removal,[],[f1596]) ).

fof(f1596,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_51
    | ~ spl0_54 ),
    inference(resolution,[],[f423,f436]) ).

fof(f423,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f1656,plain,
    ( spl0_127
    | ~ spl0_108
    | ~ spl0_51
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f1606,f1305,f422,f709,f816]) ).

fof(f1606,plain,
    ( ~ c0_1(a2293)
    | c3_1(a2293)
    | ~ spl0_51
    | ~ spl0_178 ),
    inference(resolution,[],[f423,f1307]) ).

fof(f1654,plain,
    ( ~ spl0_72
    | spl0_187
    | ~ spl0_63
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1636,f823,f477,f1651,f518]) ).

fof(f477,plain,
    ( spl0_63
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1636,plain,
    ( c3_1(a2287)
    | ~ c0_1(a2287)
    | ~ spl0_63
    | ~ spl0_128 ),
    inference(resolution,[],[f478,f825]) ).

fof(f478,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f1616,plain,
    ( spl0_40
    | ~ spl0_160
    | ~ spl0_51
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1603,f533,f422,f1018,f373]) ).

fof(f1018,plain,
    ( spl0_160
  <=> c0_1(a2316) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1603,plain,
    ( ~ c0_1(a2316)
    | c3_1(a2316)
    | ~ spl0_51
    | ~ spl0_75 ),
    inference(resolution,[],[f423,f535]) ).

fof(f1547,plain,
    ( spl0_117
    | ~ spl0_113
    | ~ spl0_17
    | ~ spl0_185 ),
    inference(avatar_split_clause,[],[f1545,f1520,f269,f738,f758]) ).

fof(f738,plain,
    ( spl0_113
  <=> c0_1(a2294) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f269,plain,
    ( spl0_17
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f1545,plain,
    ( ~ c0_1(a2294)
    | c1_1(a2294)
    | ~ spl0_17
    | ~ spl0_185 ),
    inference(resolution,[],[f1522,f270]) ).

fof(f270,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f1522,plain,
    ( c3_1(a2294)
    | ~ spl0_185 ),
    inference(avatar_component_clause,[],[f1520]) ).

fof(f1523,plain,
    ( spl0_153
    | spl0_185
    | ~ spl0_69
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1518,f738,f506,f1520,f973]) ).

fof(f1518,plain,
    ( c3_1(a2294)
    | c2_1(a2294)
    | ~ spl0_69
    | ~ spl0_113 ),
    inference(resolution,[],[f740,f507]) ).

fof(f740,plain,
    ( c0_1(a2294)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f1509,plain,
    ( spl0_167
    | spl0_132
    | ~ spl0_69
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1499,f670,f506,f855,f1086]) ).

fof(f855,plain,
    ( spl0_132
  <=> c3_1(a2285) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1499,plain,
    ( c3_1(a2285)
    | c2_1(a2285)
    | ~ spl0_69
    | ~ spl0_100 ),
    inference(resolution,[],[f507,f672]) ).

fof(f672,plain,
    ( c0_1(a2285)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f1507,plain,
    ( spl0_136
    | spl0_118
    | ~ spl0_69
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1501,f559,f506,f765,f877]) ).

fof(f877,plain,
    ( spl0_136
  <=> c3_1(a2279) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f765,plain,
    ( spl0_118
  <=> c2_1(a2279) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f559,plain,
    ( spl0_80
  <=> c0_1(a2279) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1501,plain,
    ( c2_1(a2279)
    | c3_1(a2279)
    | ~ spl0_69
    | ~ spl0_80 ),
    inference(resolution,[],[f507,f561]) ).

fof(f561,plain,
    ( c0_1(a2279)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f1389,plain,
    ( ~ spl0_88
    | spl0_61
    | ~ spl0_5
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f1388,f1372,f221,f468,f601]) ).

fof(f601,plain,
    ( spl0_88
  <=> c2_1(a2325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f468,plain,
    ( spl0_61
  <=> c0_1(a2325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f221,plain,
    ( spl0_5
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1372,plain,
    ( spl0_181
  <=> c3_1(a2325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f1388,plain,
    ( c0_1(a2325)
    | ~ c2_1(a2325)
    | ~ spl0_5
    | ~ spl0_181 ),
    inference(resolution,[],[f1374,f222]) ).

fof(f222,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f1374,plain,
    ( c3_1(a2325)
    | ~ spl0_181 ),
    inference(avatar_component_clause,[],[f1372]) ).

fof(f1377,plain,
    ( spl0_154
    | spl0_103
    | ~ spl0_39
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1364,f1023,f369,f686,f978]) ).

fof(f686,plain,
    ( spl0_103
  <=> c3_1(a2284) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f369,plain,
    ( spl0_39
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1364,plain,
    ( c3_1(a2284)
    | c0_1(a2284)
    | ~ spl0_39
    | ~ spl0_161 ),
    inference(resolution,[],[f370,f1025]) ).

fof(f370,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f1376,plain,
    ( spl0_138
    | spl0_115
    | ~ spl0_39
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1361,f414,f369,f748,f890]) ).

fof(f1361,plain,
    ( c0_1(a2282)
    | c3_1(a2282)
    | ~ spl0_39
    | ~ spl0_49 ),
    inference(resolution,[],[f370,f416]) ).

fof(f1375,plain,
    ( spl0_61
    | spl0_181
    | ~ spl0_39
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1352,f601,f369,f1372,f468]) ).

fof(f1352,plain,
    ( c3_1(a2325)
    | c0_1(a2325)
    | ~ spl0_39
    | ~ spl0_88 ),
    inference(resolution,[],[f370,f603]) ).

fof(f603,plain,
    ( c2_1(a2325)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f1341,plain,
    ( ~ spl0_84
    | spl0_97
    | ~ spl0_17
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1331,f660,f269,f655,f580]) ).

fof(f580,plain,
    ( spl0_84
  <=> c0_1(a2337) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f655,plain,
    ( spl0_97
  <=> c1_1(a2337) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f660,plain,
    ( spl0_98
  <=> c3_1(a2337) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1331,plain,
    ( c1_1(a2337)
    | ~ c0_1(a2337)
    | ~ spl0_17
    | ~ spl0_98 ),
    inference(resolution,[],[f270,f662]) ).

fof(f662,plain,
    ( c3_1(a2337)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f1340,plain,
    ( ~ spl0_176
    | spl0_36
    | ~ spl0_17
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1334,f895,f269,f356,f1234]) ).

fof(f356,plain,
    ( spl0_36
  <=> c1_1(a2308) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1334,plain,
    ( c1_1(a2308)
    | ~ c0_1(a2308)
    | ~ spl0_17
    | ~ spl0_139 ),
    inference(resolution,[],[f270,f897]) ).

fof(f1320,plain,
    ( spl0_179
    | ~ spl0_157
    | ~ spl0_51
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1312,f743,f422,f997,f1317]) ).

fof(f1312,plain,
    ( ~ c0_1(a2277)
    | c3_1(a2277)
    | ~ spl0_51
    | ~ spl0_114 ),
    inference(resolution,[],[f745,f423]) ).

fof(f1315,plain,
    ( spl0_109
    | ~ spl0_157
    | ~ spl0_16
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1314,f743,f266,f997,f716]) ).

fof(f266,plain,
    ( spl0_16
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1314,plain,
    ( ~ c0_1(a2277)
    | c2_1(a2277)
    | ~ spl0_16
    | ~ spl0_114 ),
    inference(resolution,[],[f745,f267]) ).

fof(f267,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f1311,plain,
    ( spl0_67
    | spl0_143
    | ~ spl0_70
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1299,f699,f509,f915,f496]) ).

fof(f699,plain,
    ( spl0_106
  <=> c0_1(a2295) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1299,plain,
    ( c1_1(a2295)
    | c3_1(a2295)
    | ~ spl0_70
    | ~ spl0_106 ),
    inference(resolution,[],[f510,f701]) ).

fof(f701,plain,
    ( c0_1(a2295)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f699]) ).

fof(f1303,plain,
    ( spl0_131
    | spl0_150
    | ~ spl0_70
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1302,f1043,f509,f951,f849]) ).

fof(f1302,plain,
    ( c3_1(a2306)
    | c1_1(a2306)
    | ~ spl0_70
    | ~ spl0_163 ),
    inference(resolution,[],[f510,f1045]) ).

fof(f1045,plain,
    ( c0_1(a2306)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1043]) ).

fof(f1289,plain,
    ( spl0_150
    | spl0_30
    | ~ spl0_69
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1282,f1043,f506,f327,f951]) ).

fof(f1282,plain,
    ( c2_1(a2306)
    | c3_1(a2306)
    | ~ spl0_69
    | ~ spl0_163 ),
    inference(resolution,[],[f507,f1045]) ).

fof(f1288,plain,
    ( spl0_67
    | spl0_177
    | ~ spl0_69
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1279,f699,f506,f1285,f496]) ).

fof(f1279,plain,
    ( c2_1(a2295)
    | c3_1(a2295)
    | ~ spl0_69
    | ~ spl0_106 ),
    inference(resolution,[],[f507,f701]) ).

fof(f1251,plain,
    ( spl0_124
    | ~ spl0_66
    | ~ spl0_58
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1244,f958,f454,f491,f797]) ).

fof(f454,plain,
    ( spl0_58
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f1244,plain,
    ( ~ c2_1(a2323)
    | c1_1(a2323)
    | ~ spl0_58
    | ~ spl0_151 ),
    inference(resolution,[],[f455,f960]) ).

fof(f455,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f1237,plain,
    ( spl0_121
    | spl0_176
    | ~ spl0_11
    | spl0_36 ),
    inference(avatar_split_clause,[],[f1232,f356,f246,f1234,f782]) ).

fof(f246,plain,
    ( spl0_11
  <=> ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f1232,plain,
    ( c0_1(a2308)
    | c2_1(a2308)
    | ~ spl0_11
    | spl0_36 ),
    inference(resolution,[],[f358,f247]) ).

fof(f247,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f358,plain,
    ( ~ c1_1(a2308)
    | spl0_36 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f1231,plain,
    ( ~ spl0_168
    | ~ spl0_91
    | ~ spl0_34
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1223,f430,f347,f617,f1092]) ).

fof(f347,plain,
    ( spl0_34
  <=> c1_1(a2278) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1223,plain,
    ( ~ c0_1(a2278)
    | ~ c2_1(a2278)
    | ~ spl0_34
    | ~ spl0_53 ),
    inference(resolution,[],[f431,f349]) ).

fof(f349,plain,
    ( c1_1(a2278)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f1230,plain,
    ( ~ spl0_20
    | ~ spl0_174
    | ~ spl0_53
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1222,f936,f430,f1170,f282]) ).

fof(f1222,plain,
    ( ~ c0_1(a2315)
    | ~ c2_1(a2315)
    | ~ spl0_53
    | ~ spl0_147 ),
    inference(resolution,[],[f431,f938]) ).

fof(f1210,plain,
    ( spl0_68
    | spl0_94
    | ~ spl0_4
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1209,f585,f217,f638,f501]) ).

fof(f501,plain,
    ( spl0_68
  <=> c0_1(a2304) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f638,plain,
    ( spl0_94
  <=> c2_1(a2304) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f585,plain,
    ( spl0_85
  <=> c3_1(a2304) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1209,plain,
    ( c2_1(a2304)
    | c0_1(a2304)
    | ~ spl0_4
    | spl0_85 ),
    inference(resolution,[],[f587,f218]) ).

fof(f587,plain,
    ( ~ c3_1(a2304)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f1207,plain,
    ( ~ spl0_100
    | spl0_132
    | ~ spl0_32
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1203,f422,f336,f855,f670]) ).

fof(f1203,plain,
    ( c3_1(a2285)
    | ~ c0_1(a2285)
    | ~ spl0_32
    | ~ spl0_51 ),
    inference(resolution,[],[f423,f338]) ).

fof(f1195,plain,
    ( spl0_77
    | ~ spl0_175
    | ~ spl0_5
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f1190,f449,f221,f1192,f544]) ).

fof(f1190,plain,
    ( ~ c2_1(a2276)
    | c0_1(a2276)
    | ~ spl0_5
    | ~ spl0_57 ),
    inference(resolution,[],[f451,f222]) ).

fof(f1189,plain,
    ( ~ spl0_20
    | ~ spl0_174
    | ~ spl0_50
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1178,f860,f419,f1170,f282]) ).

fof(f1178,plain,
    ( ~ c0_1(a2315)
    | ~ c2_1(a2315)
    | ~ spl0_50
    | ~ spl0_133 ),
    inference(resolution,[],[f420,f862]) ).

fof(f862,plain,
    ( c3_1(a2315)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f1188,plain,
    ( ~ spl0_162
    | ~ spl0_66
    | ~ spl0_50
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1181,f958,f419,f491,f1033]) ).

fof(f1181,plain,
    ( ~ c2_1(a2323)
    | ~ c0_1(a2323)
    | ~ spl0_50
    | ~ spl0_151 ),
    inference(resolution,[],[f420,f960]) ).

fof(f1187,plain,
    ( ~ spl0_91
    | ~ spl0_168
    | ~ spl0_50
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1179,f643,f419,f1092,f617]) ).

fof(f1179,plain,
    ( ~ c2_1(a2278)
    | ~ c0_1(a2278)
    | ~ spl0_50
    | ~ spl0_95 ),
    inference(resolution,[],[f420,f645]) ).

fof(f1167,plain,
    ( spl0_122
    | spl0_134
    | ~ spl0_27
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1165,f905,f314,f865,f788]) ).

fof(f788,plain,
    ( spl0_122
  <=> c0_1(a2324) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1165,plain,
    ( c3_1(a2324)
    | c0_1(a2324)
    | ~ spl0_27
    | ~ spl0_141 ),
    inference(resolution,[],[f907,f315]) ).

fof(f1164,plain,
    ( spl0_173
    | spl0_122
    | ~ spl0_4
    | spl0_134 ),
    inference(avatar_split_clause,[],[f1159,f865,f217,f788,f1161]) ).

fof(f1159,plain,
    ( c0_1(a2324)
    | c2_1(a2324)
    | ~ spl0_4
    | spl0_134 ),
    inference(resolution,[],[f867,f218]) ).

fof(f867,plain,
    ( ~ c3_1(a2324)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f865]) ).

fof(f1158,plain,
    ( ~ spl0_170
    | spl0_129
    | ~ spl0_37
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f1150,f405,f361,f831,f1110]) ).

fof(f361,plain,
    ( spl0_37
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1150,plain,
    ( c2_1(a2286)
    | ~ c3_1(a2286)
    | ~ spl0_37
    | ~ spl0_47 ),
    inference(resolution,[],[f362,f407]) ).

fof(f362,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f1156,plain,
    ( spl0_74
    | ~ spl0_33
    | ~ spl0_37
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1152,f926,f361,f342,f528]) ).

fof(f528,plain,
    ( spl0_74
  <=> c2_1(a2280) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f342,plain,
    ( spl0_33
  <=> c3_1(a2280) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f926,plain,
    ( spl0_145
  <=> c1_1(a2280) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1152,plain,
    ( ~ c3_1(a2280)
    | c2_1(a2280)
    | ~ spl0_37
    | ~ spl0_145 ),
    inference(resolution,[],[f362,f928]) ).

fof(f928,plain,
    ( c1_1(a2280)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f926]) ).

fof(f1155,plain,
    ( spl0_116
    | ~ spl0_11
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f1154,f361,f246,f753]) ).

fof(f1154,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_11
    | ~ spl0_37 ),
    inference(duplicate_literal_removal,[],[f1147]) ).

fof(f1147,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_11
    | ~ spl0_37 ),
    inference(resolution,[],[f362,f247]) ).

fof(f1130,plain,
    ( spl0_102
    | spl0_148
    | ~ spl0_11
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1129,f632,f246,f941,f680]) ).

fof(f680,plain,
    ( spl0_102
  <=> c2_1(a2291) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f941,plain,
    ( spl0_148
  <=> c0_1(a2291) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f632,plain,
    ( spl0_93
  <=> c1_1(a2291) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1129,plain,
    ( c0_1(a2291)
    | c2_1(a2291)
    | ~ spl0_11
    | spl0_93 ),
    inference(resolution,[],[f634,f247]) ).

fof(f634,plain,
    ( ~ c1_1(a2291)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f1108,plain,
    ( spl0_4
    | ~ spl0_11
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f1102,f314,f246,f217]) ).

fof(f1102,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_11
    | ~ spl0_27 ),
    inference(duplicate_literal_removal,[],[f1096]) ).

fof(f1096,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_11
    | ~ spl0_27 ),
    inference(resolution,[],[f315,f247]) ).

fof(f1095,plain,
    ( ~ spl0_91
    | spl0_168
    | ~ spl0_16
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f1079,f347,f266,f1092,f617]) ).

fof(f1079,plain,
    ( c2_1(a2278)
    | ~ c0_1(a2278)
    | ~ spl0_16
    | ~ spl0_34 ),
    inference(resolution,[],[f267,f349]) ).

fof(f1077,plain,
    ( spl0_124
    | ~ spl0_162
    | ~ spl0_17
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1065,f958,f269,f1033,f797]) ).

fof(f1065,plain,
    ( ~ c0_1(a2323)
    | c1_1(a2323)
    | ~ spl0_17
    | ~ spl0_151 ),
    inference(resolution,[],[f270,f960]) ).

fof(f1060,plain,
    ( spl0_86
    | spl0_164
    | ~ spl0_11
    | spl0_41 ),
    inference(avatar_split_clause,[],[f1055,f378,f246,f1057,f590]) ).

fof(f1055,plain,
    ( c2_1(a2345)
    | c0_1(a2345)
    | ~ spl0_11
    | spl0_41 ),
    inference(resolution,[],[f380,f247]) ).

fof(f380,plain,
    ( ~ c1_1(a2345)
    | spl0_41 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f1054,plain,
    ( ~ spl0_91
    | ~ spl0_95
    | ~ spl0_15
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f1049,f347,f263,f643,f617]) ).

fof(f1049,plain,
    ( ~ c3_1(a2278)
    | ~ c0_1(a2278)
    | ~ spl0_15
    | ~ spl0_34 ),
    inference(resolution,[],[f264,f349]) ).

fof(f1047,plain,
    ( spl0_161
    | spl0_154
    | ~ spl0_11
    | spl0_65 ),
    inference(avatar_split_clause,[],[f1041,f486,f246,f978,f1023]) ).

fof(f1041,plain,
    ( c0_1(a2284)
    | c2_1(a2284)
    | ~ spl0_11
    | spl0_65 ),
    inference(resolution,[],[f247,f488]) ).

fof(f488,plain,
    ( ~ c1_1(a2284)
    | spl0_65 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f1046,plain,
    ( spl0_30
    | spl0_163
    | ~ spl0_11
    | spl0_131 ),
    inference(avatar_split_clause,[],[f1040,f849,f246,f1043,f327]) ).

fof(f1040,plain,
    ( c0_1(a2306)
    | c2_1(a2306)
    | ~ spl0_11
    | spl0_131 ),
    inference(resolution,[],[f247,f851]) ).

fof(f1030,plain,
    ( ~ spl0_25
    | spl0_125
    | ~ spl0_5
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1029,f513,f221,f802,f305]) ).

fof(f305,plain,
    ( spl0_25
  <=> c2_1(a2302) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f802,plain,
    ( spl0_125
  <=> c0_1(a2302) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f513,plain,
    ( spl0_71
  <=> c3_1(a2302) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1029,plain,
    ( c0_1(a2302)
    | ~ c2_1(a2302)
    | ~ spl0_5
    | ~ spl0_71 ),
    inference(resolution,[],[f222,f515]) ).

fof(f515,plain,
    ( c3_1(a2302)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f1021,plain,
    ( spl0_160
    | spl0_159
    | ~ spl0_4
    | spl0_40 ),
    inference(avatar_split_clause,[],[f1013,f373,f217,f1007,f1018]) ).

fof(f1013,plain,
    ( c2_1(a2316)
    | c0_1(a2316)
    | ~ spl0_4
    | spl0_40 ),
    inference(resolution,[],[f218,f375]) ).

fof(f375,plain,
    ( ~ c3_1(a2316)
    | spl0_40 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f1012,plain,
    ( spl0_42
    | ~ spl0_3
    | spl0_15
    | spl0_107 ),
    inference(avatar_split_clause,[],[f196,f704,f263,f213,f382]) ).

fof(f382,plain,
    ( spl0_42
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f213,plain,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f196,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | hskp26
      | ~ c3_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).

fof(f1010,plain,
    ( ~ spl0_159
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f104,f237,f1007]) ).

fof(f237,plain,
    ( spl0_9
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f104,axiom,
    ( ~ hskp19
    | ~ c2_1(a2316) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f1005,plain,
    ( ~ spl0_8
    | spl0_158 ),
    inference(avatar_split_clause,[],[f78,f1002,f233]) ).

fof(f233,plain,
    ( spl0_8
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f78,axiom,
    ( c2_1(a2293)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f1000,plain,
    ( ~ spl0_26
    | spl0_157 ),
    inference(avatar_split_clause,[],[f88,f997,f310]) ).

fof(f310,plain,
    ( spl0_26
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f88,axiom,
    ( c0_1(a2277)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f995,plain,
    ( spl0_3
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f26,f332,f213]) ).

fof(f332,plain,
    ( spl0_31
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f26,axiom,
    ( ~ hskp6
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).

fof(f994,plain,
    ( spl0_64
    | ~ spl0_3
    | spl0_70
    | spl0_4 ),
    inference(avatar_split_clause,[],[f178,f217,f509,f213,f482]) ).

fof(f482,plain,
    ( spl0_64
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( c3_1(X1)
      | ~ c0_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X0)
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f993,plain,
    ( spl0_156
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f63,f300,f990]) ).

fof(f300,plain,
    ( spl0_24
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f63,axiom,
    ( ~ hskp23
    | c3_1(a2327) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f988,plain,
    ( spl0_24
    | ~ spl0_3
    | spl0_51
    | spl0_89 ),
    inference(avatar_split_clause,[],[f188,f607,f422,f213,f300]) ).

fof(f188,axiom,
    ! [X0,X1] :
      ( c3_1(X1)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | hskp23
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | c1_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

fof(f982,plain,
    ( spl0_58
    | spl0_126
    | spl0_37
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f200,f213,f361,f811,f454]) ).

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

fof(f981,plain,
    ( ~ spl0_154
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f130,f482,f978]) ).

fof(f130,axiom,
    ( ~ hskp5
    | ~ c0_1(a2284) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f976,plain,
    ( ~ spl0_45
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f121,f973,f396]) ).

fof(f396,plain,
    ( spl0_45
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f121,axiom,
    ( ~ c2_1(a2294)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f970,plain,
    ( spl0_152
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f50,f224,f967]) ).

fof(f224,plain,
    ( spl0_6
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f50,axiom,
    ( ~ hskp29
    | c0_1(a2309) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f961,plain,
    ( ~ spl0_28
    | spl0_151 ),
    inference(avatar_split_clause,[],[f67,f958,f318]) ).

fof(f318,plain,
    ( spl0_28
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f67,axiom,
    ( c3_1(a2323)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f956,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_140
    | spl0_31 ),
    inference(avatar_split_clause,[],[f147,f332,f901,f287,f213]) ).

fof(f287,plain,
    ( spl0_21
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f147,axiom,
    ! [X0] :
      ( hskp6
      | c0_1(X0)
      | c1_1(X0)
      | hskp7
      | ~ c3_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f954,plain,
    ( ~ spl0_150
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f110,f323,f951]) ).

fof(f323,plain,
    ( spl0_29
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f110,axiom,
    ( ~ hskp17
    | ~ c3_1(a2306) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f949,plain,
    ( ~ spl0_149
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f97,f300,f946]) ).

fof(f97,axiom,
    ( ~ hskp23
    | ~ c0_1(a2327) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f944,plain,
    ( ~ spl0_1
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f123,f941,f205]) ).

fof(f205,plain,
    ( spl0_1
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f123,axiom,
    ( ~ c0_1(a2291)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f939,plain,
    ( spl0_147
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f47,f278,f936]) ).

fof(f278,plain,
    ( spl0_19
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f47,axiom,
    ( ~ hskp30
    | c1_1(a2315) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f929,plain,
    ( spl0_145
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f85,f242,f926]) ).

fof(f242,plain,
    ( spl0_10
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f85,axiom,
    ( ~ hskp3
    | c1_1(a2280) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f923,plain,
    ( ~ spl0_6
    | spl0_144 ),
    inference(avatar_split_clause,[],[f51,f920,f224]) ).

fof(f51,axiom,
    ( c1_1(a2309)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f918,plain,
    ( ~ spl0_46
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f118,f915,f400]) ).

fof(f400,plain,
    ( spl0_46
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f118,axiom,
    ( ~ c1_1(a2295)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f913,plain,
    ( ~ spl0_142
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f116,f426,f910]) ).

fof(f426,plain,
    ( spl0_52
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f116,axiom,
    ( ~ hskp13
    | ~ c1_1(a2299) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f908,plain,
    ( ~ spl0_38
    | spl0_141 ),
    inference(avatar_split_clause,[],[f65,f905,f364]) ).

fof(f364,plain,
    ( spl0_38
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f65,axiom,
    ( c1_1(a2324)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f903,plain,
    ( spl0_140
    | spl0_7
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f148,f287,f213,f228,f901]) ).

fof(f228,plain,
    ( spl0_7
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f148,axiom,
    ! [X0] :
      ( hskp7
      | ~ ndr1_0
      | hskp8
      | c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f899,plain,
    ( spl0_56
    | ~ spl0_3
    | spl0_15
    | spl0_89 ),
    inference(avatar_split_clause,[],[f194,f607,f263,f213,f443]) ).

fof(f443,plain,
    ( spl0_56
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f194,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | c3_1(X1)
      | ~ c3_1(X0)
      | c1_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).

fof(f898,plain,
    ( spl0_139
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f69,f352,f895]) ).

fof(f352,plain,
    ( spl0_35
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f69,axiom,
    ( ~ hskp18
    | c3_1(a2308) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f893,plain,
    ( ~ spl0_48
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f134,f890,f410]) ).

fof(f410,plain,
    ( spl0_48
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f134,axiom,
    ( ~ c3_1(a2282)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f887,plain,
    ( ~ spl0_19
    | spl0_3 ),
    inference(avatar_split_clause,[],[f2,f213,f278]) ).

fof(f2,axiom,
    ( ndr1_0
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f880,plain,
    ( ~ spl0_12
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f137,f877,f249]) ).

fof(f249,plain,
    ( spl0_12
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f137,axiom,
    ( ~ c3_1(a2279)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f874,plain,
    ( ~ spl0_21
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f127,f871,f287]) ).

fof(f127,axiom,
    ( ~ c0_1(a2286)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f868,plain,
    ( ~ spl0_38
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f102,f865,f364]) ).

fof(f102,axiom,
    ( ~ c3_1(a2324)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f863,plain,
    ( ~ spl0_19
    | spl0_133 ),
    inference(avatar_split_clause,[],[f49,f860,f278]) ).

fof(f49,axiom,
    ( c3_1(a2315)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f858,plain,
    ( ~ spl0_132
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f129,f332,f855]) ).

fof(f129,axiom,
    ( ~ hskp6
    | ~ c3_1(a2285) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f852,plain,
    ( ~ spl0_29
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f108,f849,f323]) ).

fof(f108,axiom,
    ( ~ c1_1(a2306)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f841,plain,
    ( ~ spl0_7
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f126,f838,f228]) ).

fof(f126,axiom,
    ( ~ c1_1(a2287)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f836,plain,
    ( spl0_7
    | ~ spl0_3
    | spl0_70
    | spl0_5 ),
    inference(avatar_split_clause,[],[f185,f221,f509,f213,f228]) ).

fof(f185,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c0_1(X1)
      | hskp8
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f834,plain,
    ( ~ spl0_21
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f128,f831,f287]) ).

fof(f128,axiom,
    ( ~ c2_1(a2286)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f828,plain,
    ( spl0_46
    | spl0_5
    | spl0_52
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f159,f213,f426,f221,f400]) ).

fof(f159,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp13
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0)
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f826,plain,
    ( ~ spl0_7
    | spl0_128 ),
    inference(avatar_split_clause,[],[f80,f823,f228]) ).

fof(f80,axiom,
    ( c2_1(a2287)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f819,plain,
    ( ~ spl0_8
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f122,f816,f233]) ).

fof(f122,axiom,
    ( ~ c3_1(a2293)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f808,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_123
    | spl0_44 ),
    inference(avatar_split_clause,[],[f175,f391,f793,f213,f205]) ).

fof(f391,plain,
    ( spl0_44
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f175,axiom,
    ! [X0] :
      ( hskp27
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f806,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_107
    | spl0_5 ),
    inference(avatar_split_clause,[],[f187,f221,f704,f237,f213]) ).

fof(f187,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0)
      | hskp19
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

fof(f805,plain,
    ( ~ spl0_18
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f115,f802,f273]) ).

fof(f273,plain,
    ( spl0_18
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f115,axiom,
    ( ~ c0_1(a2302)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f800,plain,
    ( ~ spl0_28
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f103,f797,f318]) ).

fof(f103,axiom,
    ( ~ c1_1(a2323)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f791,plain,
    ( ~ spl0_122
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f101,f364,f788]) ).

fof(f101,axiom,
    ( ~ hskp21
    | ~ c0_1(a2324) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f785,plain,
    ( ~ spl0_35
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f107,f782,f352]) ).

fof(f107,axiom,
    ( ~ c2_1(a2308)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f780,plain,
    ( spl0_55
    | spl0_18
    | spl0_10 ),
    inference(avatar_split_clause,[],[f43,f242,f273,f438]) ).

fof(f438,plain,
    ( spl0_55
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f43,axiom,
    ( hskp3
    | hskp14
    | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f769,plain,
    ( spl0_31
    | spl0_19
    | spl0_45 ),
    inference(avatar_split_clause,[],[f37,f396,f278,f332]) ).

fof(f37,axiom,
    ( hskp11
    | hskp30
    | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f768,plain,
    ( ~ spl0_118
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f136,f249,f765]) ).

fof(f136,axiom,
    ( ~ hskp2
    | ~ c2_1(a2279) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f762,plain,
    ( ~ spl0_3
    | spl0_2
    | spl0_11
    | spl0_37 ),
    inference(avatar_split_clause,[],[f179,f361,f246,f209,f213]) ).

fof(f209,plain,
    ( spl0_2
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp28
      | ~ ndr1_0
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f761,plain,
    ( ~ spl0_117
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f120,f396,f758]) ).

fof(f120,axiom,
    ( ~ hskp11
    | ~ c1_1(a2294) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f756,plain,
    ( spl0_38
    | ~ spl0_3
    | spl0_51
    | spl0_62 ),
    inference(avatar_split_clause,[],[f167,f473,f422,f213,f364]) ).

fof(f473,plain,
    ( spl0_62
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f167,axiom,
    ! [X0] :
      ( hskp16
      | ~ c1_1(X0)
      | ~ ndr1_0
      | hskp21
      | c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f755,plain,
    ( spl0_4
    | ~ spl0_3
    | spl0_73
    | spl0_116 ),
    inference(avatar_split_clause,[],[f199,f753,f523,f213,f217]) ).

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

fof(f751,plain,
    ( ~ spl0_48
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f133,f748,f410]) ).

fof(f133,axiom,
    ( ~ c0_1(a2282)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f746,plain,
    ( spl0_114
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f89,f310,f743]) ).

fof(f89,axiom,
    ( ~ hskp1
    | c1_1(a2277) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f741,plain,
    ( ~ spl0_45
    | spl0_113 ),
    inference(avatar_split_clause,[],[f76,f738,f396]) ).

fof(f76,axiom,
    ( c0_1(a2294)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f736,plain,
    ( ~ spl0_44
    | spl0_112 ),
    inference(avatar_split_clause,[],[f56,f733,f391]) ).

fof(f56,axiom,
    ( c1_1(a2367)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f730,plain,
    ( ~ spl0_3
    | spl0_35
    | spl0_12
    | spl0_53 ),
    inference(avatar_split_clause,[],[f171,f430,f249,f352,f213]) ).

fof(f171,axiom,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | hskp2
      | hskp18
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f729,plain,
    ( ~ spl0_3
    | spl0_2
    | spl0_111
    | spl0_7 ),
    inference(avatar_split_clause,[],[f149,f228,f727,f209,f213]) ).

fof(f149,axiom,
    ! [X0] :
      ( hskp8
      | c2_1(X0)
      | hskp28
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f719,plain,
    ( ~ spl0_109
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f138,f310,f716]) ).

fof(f138,axiom,
    ( ~ hskp1
    | ~ c2_1(a2277) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f712,plain,
    ( ~ spl0_8
    | spl0_108 ),
    inference(avatar_split_clause,[],[f77,f709,f233]) ).

fof(f77,axiom,
    ( c0_1(a2293)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f707,plain,
    ( ~ spl0_3
    | spl0_46
    | spl0_9
    | spl0_104 ),
    inference(avatar_split_clause,[],[f165,f691,f237,f400,f213]) ).

fof(f165,axiom,
    ! [X0] :
      ( c2_1(X0)
      | hskp19
      | ~ c0_1(X0)
      | hskp12
      | ~ c3_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f706,plain,
    ( spl0_29
    | spl0_73
    | spl0_107
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f184,f213,f704,f523,f323]) ).

fof(f184,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | c0_1(X1)
      | hskp17
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f702,plain,
    ( ~ spl0_46
    | spl0_106 ),
    inference(avatar_split_clause,[],[f75,f699,f400]) ).

fof(f75,axiom,
    ( c0_1(a2295)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f693,plain,
    ( spl0_54
    | spl0_104
    | spl0_53
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f201,f213,f430,f691,f435]) ).

fof(f201,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | c3_1(X2)
      | c1_1(X2)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause201) ).

fof(f689,plain,
    ( ~ spl0_103
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f132,f482,f686]) ).

fof(f132,axiom,
    ( ~ hskp5
    | ~ c3_1(a2284) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f683,plain,
    ( ~ spl0_1
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f125,f680,f205]) ).

fof(f125,axiom,
    ( ~ c2_1(a2291)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f673,plain,
    ( ~ spl0_31
    | spl0_100 ),
    inference(avatar_split_clause,[],[f82,f670,f332]) ).

fof(f82,axiom,
    ( c0_1(a2285)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f668,plain,
    ( ~ spl0_44
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f92,f665,f391]) ).

fof(f92,axiom,
    ( ~ c0_1(a2367)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f663,plain,
    ( ~ spl0_82
    | spl0_98 ),
    inference(avatar_split_clause,[],[f62,f660,f569]) ).

fof(f569,plain,
    ( spl0_82
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f62,axiom,
    ( c3_1(a2337)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f658,plain,
    ( ~ spl0_97
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f96,f569,f655]) ).

fof(f96,axiom,
    ( ~ hskp24
    | ~ c1_1(a2337) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f652,plain,
    ( ~ spl0_3
    | spl0_96
    | spl0_73
    | spl0_63 ),
    inference(avatar_split_clause,[],[f202,f477,f523,f650,f213]) ).

fof(f202,axiom,
    ! [X2,X0,X1] :
      ( ~ c0_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | c3_1(X0)
      | ~ c1_1(X2)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause202) ).

fof(f648,plain,
    ( spl0_18
    | spl0_69
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f189,f266,f213,f506,f273]) ).

fof(f189,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | hskp14
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).

fof(f646,plain,
    ( spl0_95
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f55,f209,f643]) ).

fof(f55,axiom,
    ( ~ hskp28
    | c3_1(a2278) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f641,plain,
    ( ~ spl0_62
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f112,f638,f473]) ).

fof(f112,axiom,
    ( ~ c2_1(a2304)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f635,plain,
    ( ~ spl0_93
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f124,f205,f632]) ).

fof(f124,axiom,
    ( ~ hskp9
    | ~ c1_1(a2291) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f625,plain,
    ( spl0_3
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f21,f396,f213]) ).

fof(f21,axiom,
    ( ~ hskp11
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).

fof(f623,plain,
    ( spl0_42
    | spl0_2
    | spl0_62 ),
    inference(avatar_split_clause,[],[f35,f473,f209,f382]) ).

fof(f35,axiom,
    ( hskp16
    | hskp28
    | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f622,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_5
    | spl0_89 ),
    inference(avatar_split_clause,[],[f186,f607,f221,f278,f213]) ).

fof(f186,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c2_1(X1)
      | c1_1(X0)
      | hskp30
      | c0_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

fof(f621,plain,
    ( spl0_45
    | spl0_69
    | ~ spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f180,f314,f213,f506,f396]) ).

fof(f180,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c3_1(X1)
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f620,plain,
    ( ~ spl0_2
    | spl0_91 ),
    inference(avatar_split_clause,[],[f53,f617,f209]) ).

fof(f53,axiom,
    ( c0_1(a2278)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f615,plain,
    ( ~ spl0_6
    | spl0_90 ),
    inference(avatar_split_clause,[],[f52,f612,f224]) ).

fof(f52,axiom,
    ( c2_1(a2309)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f610,plain,
    ( spl0_70
    | ~ spl0_3
    | spl0_53
    | spl0_26 ),
    inference(avatar_split_clause,[],[f193,f310,f430,f213,f509]) ).

fof(f193,axiom,
    ! [X0,X1] :
      ( hskp1
      | ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | c3_1(X1)
      | ~ c1_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).

fof(f609,plain,
    ( spl0_26
    | spl0_11
    | ~ spl0_3
    | spl0_89 ),
    inference(avatar_split_clause,[],[f177,f607,f213,f246,f310]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp1
      | c1_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f604,plain,
    ( spl0_88
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f64,f438,f601]) ).

fof(f64,axiom,
    ( ~ hskp22
    | c2_1(a2325) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f598,plain,
    ( ~ spl0_56
    | spl0_87 ),
    inference(avatar_split_clause,[],[f90,f595,f443]) ).

fof(f90,axiom,
    ( c1_1(a2276)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f593,plain,
    ( ~ spl0_42
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f93,f590,f382]) ).

fof(f93,axiom,
    ( ~ c0_1(a2345)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f588,plain,
    ( ~ spl0_62
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f113,f585,f473]) ).

fof(f113,axiom,
    ( ~ c3_1(a2304)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f583,plain,
    ( spl0_84
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f61,f569,f580]) ).

fof(f61,axiom,
    ( ~ hskp24
    | c0_1(a2337) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f578,plain,
    ( ~ spl0_52
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f117,f575,f426]) ).

fof(f117,axiom,
    ( ~ c3_1(a2299)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f573,plain,
    ( spl0_82
    | spl0_55
    | spl0_52 ),
    inference(avatar_split_clause,[],[f42,f426,f438,f569]) ).

fof(f42,axiom,
    ( hskp13
    | hskp22
    | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f562,plain,
    ( ~ spl0_12
    | spl0_80 ),
    inference(avatar_split_clause,[],[f87,f559,f249]) ).

fof(f87,axiom,
    ( c0_1(a2279)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f557,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_79
    | spl0_29 ),
    inference(avatar_split_clause,[],[f157,f323,f555,f273,f213]) ).

fof(f157,axiom,
    ! [X0] :
      ( hskp17
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0)
      | hskp14
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f553,plain,
    ( ~ spl0_52
    | spl0_78 ),
    inference(avatar_split_clause,[],[f74,f550,f426]) ).

fof(f74,axiom,
    ( c2_1(a2299)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f547,plain,
    ( ~ spl0_56
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f139,f544,f443]) ).

fof(f139,axiom,
    ( ~ c0_1(a2276)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f541,plain,
    ( spl0_76
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f58,f382,f538]) ).

fof(f58,axiom,
    ( ~ hskp26
    | c3_1(a2345) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f536,plain,
    ( ~ spl0_9
    | spl0_75 ),
    inference(avatar_split_clause,[],[f68,f533,f237]) ).

fof(f68,axiom,
    ( c1_1(a2316)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f531,plain,
    ( ~ spl0_74
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f135,f242,f528]) ).

fof(f135,axiom,
    ( ~ hskp3
    | ~ c2_1(a2280) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f525,plain,
    ( ~ spl0_3
    | spl0_35
    | spl0_73
    | spl0_50 ),
    inference(avatar_split_clause,[],[f197,f419,f523,f352,f213]) ).

fof(f197,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | hskp18
      | ~ c0_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).

fof(f521,plain,
    ( spl0_72
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f79,f228,f518]) ).

fof(f79,axiom,
    ( ~ hskp8
    | c0_1(a2287) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f516,plain,
    ( ~ spl0_18
    | spl0_71 ),
    inference(avatar_split_clause,[],[f73,f513,f273]) ).

fof(f73,axiom,
    ( c3_1(a2302)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f511,plain,
    ( ~ spl0_3
    | spl0_69
    | spl0_70
    | spl0_24 ),
    inference(avatar_split_clause,[],[f181,f300,f509,f506,f213]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( hskp23
      | c3_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f504,plain,
    ( ~ spl0_62
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f111,f501,f473]) ).

fof(f111,axiom,
    ( ~ c0_1(a2304)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f499,plain,
    ( ~ spl0_67
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f119,f400,f496]) ).

fof(f119,axiom,
    ( ~ hskp12
    | ~ c3_1(a2295) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f494,plain,
    ( spl0_66
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f66,f318,f491]) ).

fof(f66,axiom,
    ( ~ hskp20
    | c2_1(a2323) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f489,plain,
    ( ~ spl0_64
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f131,f486,f482]) ).

fof(f131,axiom,
    ( ~ c1_1(a2284)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f480,plain,
    ( spl0_31
    | spl0_8
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f143,f217,f213,f233,f332]) ).

fof(f143,axiom,
    ! [X0] :
      ( c0_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp10
      | hskp6
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f471,plain,
    ( ~ spl0_55
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f99,f468,f438]) ).

fof(f99,axiom,
    ( ~ c0_1(a2325)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f456,plain,
    ( spl0_26
    | ~ spl0_3
    | spl0_48
    | spl0_58 ),
    inference(avatar_split_clause,[],[f162,f454,f410,f213,f310]) ).

fof(f162,axiom,
    ! [X0] :
      ( c1_1(X0)
      | hskp4
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f452,plain,
    ( spl0_57
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f91,f443,f449]) ).

fof(f91,axiom,
    ( ~ hskp0
    | c3_1(a2276) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f433,plain,
    ( spl0_28
    | spl0_26
    | spl0_18 ),
    inference(avatar_split_clause,[],[f36,f273,f310,f318]) ).

fof(f36,axiom,
    ( hskp14
    | hskp1
    | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f424,plain,
    ( ~ spl0_3
    | spl0_50
    | spl0_10
    | spl0_51 ),
    inference(avatar_split_clause,[],[f198,f422,f242,f419,f213]) ).

fof(f198,axiom,
    ! [X0,X1] :
      ( c3_1(X1)
      | hskp3
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).

fof(f417,plain,
    ( ~ spl0_48
    | spl0_49 ),
    inference(avatar_split_clause,[],[f84,f414,f410]) ).

fof(f84,axiom,
    ( c2_1(a2282)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f408,plain,
    ( spl0_47
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f81,f287,f405]) ).

fof(f81,axiom,
    ( ~ hskp7
    | c1_1(a2286) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f403,plain,
    ( ~ spl0_3
    | spl0_45
    | spl0_46
    | spl0_4 ),
    inference(avatar_split_clause,[],[f144,f217,f400,f396,f213]) ).

fof(f144,axiom,
    ! [X0] :
      ( c0_1(X0)
      | hskp12
      | c3_1(X0)
      | c2_1(X0)
      | hskp11
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f394,plain,
    ( spl0_43
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f57,f391,f387]) ).

fof(f57,axiom,
    ( ~ hskp27
    | c2_1(a2367) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f385,plain,
    ( ~ spl0_41
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f94,f382,f378]) ).

fof(f94,axiom,
    ( ~ hskp26
    | ~ c1_1(a2345) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f376,plain,
    ( ~ spl0_40
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f105,f237,f373]) ).

fof(f105,axiom,
    ( ~ hskp19
    | ~ c3_1(a2316) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f371,plain,
    ( ~ spl0_3
    | spl0_39
    | spl0_29
    | spl0_18 ),
    inference(avatar_split_clause,[],[f153,f273,f323,f369,f213]) ).

fof(f153,axiom,
    ! [X0] :
      ( hskp14
      | hskp17
      | c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f359,plain,
    ( ~ spl0_35
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f106,f356,f352]) ).

fof(f106,axiom,
    ( ~ c1_1(a2308)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f350,plain,
    ( spl0_34
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f54,f209,f347]) ).

fof(f54,axiom,
    ( ~ hskp28
    | c1_1(a2278) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f345,plain,
    ( spl0_33
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f86,f242,f342]) ).

fof(f86,axiom,
    ( ~ hskp3
    | c3_1(a2280) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f339,plain,
    ( ~ spl0_31
    | spl0_32 ),
    inference(avatar_split_clause,[],[f83,f336,f332]) ).

fof(f83,axiom,
    ( c1_1(a2285)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f330,plain,
    ( ~ spl0_29
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f109,f327,f323]) ).

fof(f109,axiom,
    ( ~ c2_1(a2306)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f321,plain,
    ( spl0_28
    | spl0_5
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f154,f213,f221,f318]) ).

fof(f154,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | c0_1(X0)
      | hskp20
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f316,plain,
    ( ~ spl0_3
    | spl0_26
    | spl0_18
    | spl0_27 ),
    inference(avatar_split_clause,[],[f151,f314,f273,f310,f213]) ).

fof(f151,axiom,
    ! [X0] :
      ( c3_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0)
      | hskp14
      | hskp1
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f308,plain,
    ( spl0_25
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f72,f273,f305]) ).

fof(f72,axiom,
    ( ~ hskp14
    | c2_1(a2302) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f303,plain,
    ( ~ spl0_23
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f98,f300,f296]) ).

fof(f98,axiom,
    ( ~ hskp23
    | ~ c2_1(a2327) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f285,plain,
    ( ~ spl0_19
    | spl0_20 ),
    inference(avatar_split_clause,[],[f48,f282,f278]) ).

fof(f48,axiom,
    ( c2_1(a2315)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f276,plain,
    ( spl0_3
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f18,f273,f213]) ).

fof(f18,axiom,
    ( ~ hskp14
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).

fof(f271,plain,
    ( spl0_15
    | spl0_16
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f203,f269,f213,f266,f263]) ).

fof(f203,axiom,
    ! [X2,X0,X1] :
      ( ~ c3_1(X2)
      | ~ ndr1_0
      | c1_1(X2)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause203) ).

fof(f252,plain,
    ( spl0_10
    | ~ spl0_3
    | spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f140,f249,f246,f213,f242]) ).

fof(f140,axiom,
    ! [X0] :
      ( hskp2
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f231,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f158,f228,f224,f221,f213]) ).

fof(f158,axiom,
    ! [X0] :
      ( hskp8
      | hskp29
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f219,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f142,f217,f213,f209,f205]) ).

fof(f142,axiom,
    ! [X0] :
      ( c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp28
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN487-1 : TPTP v8.1.0. Released v2.1.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n020.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 22:02:15 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.45  % (32040)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (32048)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)
% 0.20/0.50  % (32038)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)
% 0.20/0.51  % (32065)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.51  % (32063)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.51  % (32039)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51  % (32041)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (32049)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52  % (32050)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52  % (32037)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.52  % (32053)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)
% 0.20/0.52  % (32060)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.53  % (32044)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53  % (32051)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53  % (32058)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53  % (32064)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.53  % (32057)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)
% 0.20/0.54  % (32066)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)
% 0.20/0.54  % (32047)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  % (32046)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)
% 0.20/0.54  % (32042)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.54  % (32059)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.54  % (32061)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54  % (32056)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (32044)Instruction limit reached!
% 0.20/0.54  % (32044)------------------------------
% 0.20/0.54  % (32044)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (32044)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (32044)Termination reason: Unknown
% 0.20/0.54  % (32044)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (32044)Memory used [KB]: 6140
% 0.20/0.54  % (32044)Time elapsed: 0.104 s
% 0.20/0.54  % (32044)Instructions burned: 8 (million)
% 0.20/0.54  % (32044)------------------------------
% 0.20/0.54  % (32044)------------------------------
% 0.20/0.55  % (32052)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.55  Detected maximum model sizes of [32]
% 0.20/0.55  TRYING [1]
% 0.20/0.55  TRYING [2]
% 0.20/0.55  % (32040)First to succeed.
% 0.20/0.55  % (32045)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55  % (32043)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  % (32054)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55  % (32062)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.56  % (32055)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.56  Detected maximum model sizes of [32]
% 1.61/0.56  % (32040)Refutation found. Thanks to Tanya!
% 1.61/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.61/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.61/0.57  % (32040)------------------------------
% 1.61/0.57  % (32040)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.57  % (32040)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.57  % (32040)Termination reason: Refutation
% 1.61/0.57  
% 1.61/0.57  % (32040)Memory used [KB]: 6780
% 1.61/0.57  % (32040)Time elapsed: 0.161 s
% 1.61/0.57  % (32040)Instructions burned: 40 (million)
% 1.61/0.57  % (32040)------------------------------
% 1.61/0.57  % (32040)------------------------------
% 1.61/0.57  % (32036)Success in time 0.212 s
%------------------------------------------------------------------------------