TSTP Solution File: SYN472-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN472-1 : 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 : n009.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 19:38:17 EDT 2022

% Result   : Unsatisfiable 1.79s 0.59s
% Output   : Refutation 1.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  287
% Syntax   : Number of formulae    :  667 (   1 unt;   0 def)
%            Number of atoms       : 2105 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2456 (1018   ~;1280   |;   0   &)
%                                         ( 158 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  192 ( 191 usr; 188 prp; 0-1 aty)
%            Number of functors    :   27 (  27 usr;  27 con; 0-0 aty)
%            Number of variables   :  133 ( 133   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2283,plain,
    $false,
    inference(avatar_sat_refutation,[],[f205,f221,f244,f257,f268,f288,f293,f298,f315,f320,f325,f334,f343,f349,f359,f368,f373,f383,f393,f398,f415,f424,f431,f436,f440,f444,f449,f456,f463,f473,f478,f483,f488,f498,f502,f514,f520,f525,f530,f534,f538,f539,f551,f552,f553,f557,f562,f567,f568,f573,f581,f586,f592,f602,f607,f612,f617,f619,f631,f641,f646,f650,f655,f660,f665,f671,f675,f684,f689,f698,f699,f703,f717,f723,f733,f748,f749,f754,f759,f765,f767,f772,f781,f782,f783,f788,f794,f804,f810,f816,f821,f823,f824,f830,f835,f836,f841,f846,f851,f856,f861,f865,f866,f871,f876,f878,f884,f885,f890,f891,f894,f899,f900,f901,f906,f907,f919,f925,f930,f936,f941,f947,f950,f955,f956,f961,f962,f967,f982,f997,f1007,f1012,f1017,f1039,f1040,f1041,f1043,f1057,f1060,f1069,f1075,f1088,f1095,f1114,f1115,f1125,f1126,f1132,f1138,f1151,f1162,f1164,f1171,f1195,f1198,f1216,f1225,f1236,f1251,f1256,f1262,f1269,f1273,f1276,f1321,f1322,f1328,f1329,f1330,f1376,f1378,f1423,f1424,f1477,f1484,f1515,f1531,f1561,f1562,f1594,f1595,f1659,f1681,f1685,f1712,f1783,f1784,f1785,f1786,f1789,f1806,f1811,f1815,f1865,f1870,f1883,f1884,f1983,f1985,f2022,f2023,f2055,f2056,f2057,f2073,f2195,f2196,f2250,f2251,f2252,f2254,f2256,f2281]) ).

fof(f2281,plain,
    ( spl0_164
    | spl0_150
    | ~ spl0_55
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f2274,f791,f438,f944,f1085]) ).

fof(f1085,plain,
    ( spl0_164
  <=> c2_1(a722) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f944,plain,
    ( spl0_150
  <=> c1_1(a722) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f438,plain,
    ( spl0_55
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f791,plain,
    ( spl0_125
  <=> c3_1(a722) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f2274,plain,
    ( c1_1(a722)
    | c2_1(a722)
    | ~ spl0_55
    | ~ spl0_125 ),
    inference(resolution,[],[f439,f793]) ).

fof(f793,plain,
    ( c3_1(a722)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f439,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f2256,plain,
    ( spl0_22
    | ~ spl0_156
    | ~ spl0_23
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f2160,f426,f290,f985,f285]) ).

fof(f285,plain,
    ( spl0_22
  <=> c2_1(a702) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f985,plain,
    ( spl0_156
  <=> c1_1(a702) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f290,plain,
    ( spl0_23
  <=> c3_1(a702) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f426,plain,
    ( spl0_52
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f2160,plain,
    ( ~ c1_1(a702)
    | c2_1(a702)
    | ~ spl0_23
    | ~ spl0_52 ),
    inference(resolution,[],[f427,f292]) ).

fof(f292,plain,
    ( c3_1(a702)
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f427,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f2254,plain,
    ( ~ spl0_114
    | spl0_182
    | ~ spl0_52
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f2151,f466,f426,f1709,f730]) ).

fof(f730,plain,
    ( spl0_114
  <=> c1_1(a691) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1709,plain,
    ( spl0_182
  <=> c2_1(a691) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f466,plain,
    ( spl0_62
  <=> c3_1(a691) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f2151,plain,
    ( c2_1(a691)
    | ~ c1_1(a691)
    | ~ spl0_52
    | ~ spl0_62 ),
    inference(resolution,[],[f427,f468]) ).

fof(f468,plain,
    ( c3_1(a691)
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f2252,plain,
    ( spl0_93
    | spl0_173
    | ~ spl0_77
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2208,f813,f536,f1222,f614]) ).

fof(f614,plain,
    ( spl0_93
  <=> c2_1(a763) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1222,plain,
    ( spl0_173
  <=> c3_1(a763) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f536,plain,
    ( spl0_77
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f813,plain,
    ( spl0_129
  <=> c0_1(a763) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2208,plain,
    ( c3_1(a763)
    | c2_1(a763)
    | ~ spl0_77
    | ~ spl0_129 ),
    inference(resolution,[],[f537,f815]) ).

fof(f815,plain,
    ( c0_1(a763)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f813]) ).

fof(f537,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f536]) ).

fof(f2251,plain,
    ( spl0_145
    | ~ spl0_136
    | ~ spl0_86
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f2247,f1325,f579,f853,f916]) ).

fof(f916,plain,
    ( spl0_145
  <=> c1_1(a692) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f853,plain,
    ( spl0_136
  <=> c2_1(a692) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f579,plain,
    ( spl0_86
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1325,plain,
    ( spl0_178
  <=> c3_1(a692) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f2247,plain,
    ( ~ c2_1(a692)
    | c1_1(a692)
    | ~ spl0_86
    | ~ spl0_178 ),
    inference(resolution,[],[f580,f1327]) ).

fof(f1327,plain,
    ( c3_1(a692)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f1325]) ).

fof(f580,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f579]) ).

fof(f2250,plain,
    ( spl0_169
    | ~ spl0_140
    | ~ spl0_86
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f2244,f720,f579,f881,f1135]) ).

fof(f1135,plain,
    ( spl0_169
  <=> c1_1(a710) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f881,plain,
    ( spl0_140
  <=> c2_1(a710) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f720,plain,
    ( spl0_112
  <=> c3_1(a710) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f2244,plain,
    ( ~ c2_1(a710)
    | c1_1(a710)
    | ~ spl0_86
    | ~ spl0_112 ),
    inference(resolution,[],[f580,f722]) ).

fof(f722,plain,
    ( c3_1(a710)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f2196,plain,
    ( spl0_72
    | ~ spl0_155
    | ~ spl0_76
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f2183,f1817,f532,f979,f511]) ).

fof(f511,plain,
    ( spl0_72
  <=> c2_1(a764) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f979,plain,
    ( spl0_155
  <=> c1_1(a764) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f532,plain,
    ( spl0_76
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1817,plain,
    ( spl0_183
  <=> c0_1(a764) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f2183,plain,
    ( ~ c1_1(a764)
    | c2_1(a764)
    | ~ spl0_76
    | ~ spl0_183 ),
    inference(resolution,[],[f533,f1819]) ).

fof(f1819,plain,
    ( c0_1(a764)
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f1817]) ).

fof(f533,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f2195,plain,
    ( ~ spl0_167
    | spl0_149
    | ~ spl0_76
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f2186,f769,f532,f938,f1122]) ).

fof(f1122,plain,
    ( spl0_167
  <=> c1_1(a752) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f938,plain,
    ( spl0_149
  <=> c2_1(a752) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f769,plain,
    ( spl0_121
  <=> c0_1(a752) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f2186,plain,
    ( c2_1(a752)
    | ~ c1_1(a752)
    | ~ spl0_76
    | ~ spl0_121 ),
    inference(resolution,[],[f533,f771]) ).

fof(f771,plain,
    ( c0_1(a752)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f2073,plain,
    ( spl0_43
    | ~ spl0_169
    | ~ spl0_19
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2067,f881,f274,f1135,f386]) ).

fof(f386,plain,
    ( spl0_43
  <=> c0_1(a710) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f274,plain,
    ( spl0_19
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f2067,plain,
    ( ~ c1_1(a710)
    | c0_1(a710)
    | ~ spl0_19
    | ~ spl0_140 ),
    inference(resolution,[],[f275,f883]) ).

fof(f883,plain,
    ( c2_1(a710)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f275,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f2057,plain,
    ( spl0_2
    | spl0_35
    | ~ spl0_103
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2037,f1092,f673,f346,f202]) ).

fof(f202,plain,
    ( spl0_2
  <=> c1_1(a751) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f346,plain,
    ( spl0_35
  <=> c3_1(a751) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f673,plain,
    ( spl0_103
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1092,plain,
    ( spl0_165
  <=> c2_1(a751) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f2037,plain,
    ( c3_1(a751)
    | c1_1(a751)
    | ~ spl0_103
    | ~ spl0_165 ),
    inference(resolution,[],[f674,f1094]) ).

fof(f1094,plain,
    ( c2_1(a751)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1092]) ).

fof(f674,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f2056,plain,
    ( spl0_161
    | spl0_143
    | ~ spl0_103
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f2045,f778,f673,f903,f1054]) ).

fof(f1054,plain,
    ( spl0_161
  <=> c1_1(a697) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f903,plain,
    ( spl0_143
  <=> c3_1(a697) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f778,plain,
    ( spl0_123
  <=> c2_1(a697) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f2045,plain,
    ( c3_1(a697)
    | c1_1(a697)
    | ~ spl0_103
    | ~ spl0_123 ),
    inference(resolution,[],[f674,f780]) ).

fof(f780,plain,
    ( c2_1(a697)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f2055,plain,
    ( spl0_31
    | spl0_84
    | ~ spl0_103
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2046,f858,f673,f570,f327]) ).

fof(f327,plain,
    ( spl0_31
  <=> c3_1(a693) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f570,plain,
    ( spl0_84
  <=> c1_1(a693) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f858,plain,
    ( spl0_137
  <=> c2_1(a693) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2046,plain,
    ( c1_1(a693)
    | c3_1(a693)
    | ~ spl0_103
    | ~ spl0_137 ),
    inference(resolution,[],[f674,f860]) ).

fof(f860,plain,
    ( c2_1(a693)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f858]) ).

fof(f2023,plain,
    ( spl0_150
    | ~ spl0_164
    | ~ spl0_86
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f2013,f791,f579,f1085,f944]) ).

fof(f2013,plain,
    ( ~ c2_1(a722)
    | c1_1(a722)
    | ~ spl0_86
    | ~ spl0_125 ),
    inference(resolution,[],[f580,f793]) ).

fof(f2022,plain,
    ( spl0_11
    | ~ spl0_124
    | ~ spl0_86
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f2018,f1168,f579,f785,f241]) ).

fof(f241,plain,
    ( spl0_11
  <=> c1_1(a701) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f785,plain,
    ( spl0_124
  <=> c2_1(a701) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1168,plain,
    ( spl0_170
  <=> c3_1(a701) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f2018,plain,
    ( ~ c2_1(a701)
    | c1_1(a701)
    | ~ spl0_86
    | ~ spl0_170 ),
    inference(resolution,[],[f580,f1170]) ).

fof(f1170,plain,
    ( c3_1(a701)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1168]) ).

fof(f1985,plain,
    ( spl0_111
    | ~ spl0_158
    | ~ spl0_71
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1967,f583,f507,f1004,f714]) ).

fof(f714,plain,
    ( spl0_111
  <=> c0_1(a760) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1004,plain,
    ( spl0_158
  <=> c2_1(a760) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f507,plain,
    ( spl0_71
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f583,plain,
    ( spl0_87
  <=> c3_1(a760) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1967,plain,
    ( ~ c2_1(a760)
    | c0_1(a760)
    | ~ spl0_71
    | ~ spl0_87 ),
    inference(resolution,[],[f508,f585]) ).

fof(f585,plain,
    ( c3_1(a760)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f508,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f1983,plain,
    ( spl0_43
    | ~ spl0_140
    | ~ spl0_71
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1972,f720,f507,f881,f386]) ).

fof(f1972,plain,
    ( ~ c2_1(a710)
    | c0_1(a710)
    | ~ spl0_71
    | ~ spl0_112 ),
    inference(resolution,[],[f508,f722]) ).

fof(f1884,plain,
    ( ~ spl0_120
    | spl0_91
    | ~ spl0_78
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1755,f1009,f541,f604,f762]) ).

fof(f762,plain,
    ( spl0_120
  <=> c1_1(a726) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f604,plain,
    ( spl0_91
  <=> c3_1(a726) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f541,plain,
    ( spl0_78
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1009,plain,
    ( spl0_159
  <=> c2_1(a726) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f1755,plain,
    ( c3_1(a726)
    | ~ c1_1(a726)
    | ~ spl0_78
    | ~ spl0_159 ),
    inference(resolution,[],[f542,f1011]) ).

fof(f1011,plain,
    ( c2_1(a726)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1009]) ).

fof(f542,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f1883,plain,
    ( spl0_75
    | ~ spl0_148
    | ~ spl0_59
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f1880,f1508,f454,f933,f527]) ).

fof(f527,plain,
    ( spl0_75
  <=> c2_1(a717) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f933,plain,
    ( spl0_148
  <=> c3_1(a717) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f454,plain,
    ( spl0_59
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1508,plain,
    ( spl0_180
  <=> c0_1(a717) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f1880,plain,
    ( ~ c3_1(a717)
    | c2_1(a717)
    | ~ spl0_59
    | ~ spl0_180 ),
    inference(resolution,[],[f1510,f455]) ).

fof(f455,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f1510,plain,
    ( c0_1(a717)
    | ~ spl0_180 ),
    inference(avatar_component_clause,[],[f1508]) ).

fof(f1870,plain,
    ( spl0_75
    | spl0_180
    | ~ spl0_20
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1860,f751,f277,f1508,f527]) ).

fof(f277,plain,
    ( spl0_20
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f751,plain,
    ( spl0_118
  <=> c1_1(a717) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1860,plain,
    ( c0_1(a717)
    | c2_1(a717)
    | ~ spl0_20
    | ~ spl0_118 ),
    inference(resolution,[],[f278,f753]) ).

fof(f753,plain,
    ( c1_1(a717)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f278,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f1865,plain,
    ( spl0_183
    | spl0_72
    | ~ spl0_20
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1855,f979,f277,f511,f1817]) ).

fof(f1855,plain,
    ( c2_1(a764)
    | c0_1(a764)
    | ~ spl0_20
    | ~ spl0_155 ),
    inference(resolution,[],[f278,f981]) ).

fof(f981,plain,
    ( c1_1(a764)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f979]) ).

fof(f1815,plain,
    ( spl0_68
    | spl0_72
    | ~ spl0_61
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1813,f979,f461,f511,f495]) ).

fof(f495,plain,
    ( spl0_68
  <=> c3_1(a764) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f461,plain,
    ( spl0_61
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1813,plain,
    ( c2_1(a764)
    | c3_1(a764)
    | ~ spl0_61
    | ~ spl0_155 ),
    inference(resolution,[],[f981,f462]) ).

fof(f462,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f1811,plain,
    ( spl0_72
    | ~ spl0_56
    | spl0_68
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1809,f536,f495,f442,f511]) ).

fof(f442,plain,
    ( spl0_56
  <=> ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1809,plain,
    ( c2_1(a764)
    | ~ spl0_56
    | spl0_68
    | ~ spl0_77 ),
    inference(resolution,[],[f497,f1729]) ).

fof(f1729,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_56
    | ~ spl0_77 ),
    inference(duplicate_literal_removal,[],[f1713]) ).

fof(f1713,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c2_1(X0)
        | c3_1(X0)
        | c3_1(X0) )
    | ~ spl0_56
    | ~ spl0_77 ),
    inference(resolution,[],[f537,f443]) ).

fof(f443,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f497,plain,
    ( ~ c3_1(a764)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f1806,plain,
    ( ~ spl0_141
    | ~ spl0_147
    | ~ spl0_81
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1792,f686,f555,f927,f887]) ).

fof(f887,plain,
    ( spl0_141
  <=> c1_1(a695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f927,plain,
    ( spl0_147
  <=> c2_1(a695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f555,plain,
    ( spl0_81
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f686,plain,
    ( spl0_106
  <=> c0_1(a695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1792,plain,
    ( ~ c2_1(a695)
    | ~ c1_1(a695)
    | ~ spl0_81
    | ~ spl0_106 ),
    inference(resolution,[],[f556,f688]) ).

fof(f688,plain,
    ( c0_1(a695)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f686]) ).

fof(f556,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f1789,plain,
    ( ~ spl0_164
    | ~ spl0_125
    | ~ spl0_65
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1777,f544,f480,f791,f1085]) ).

fof(f480,plain,
    ( spl0_65
  <=> c0_1(a722) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f544,plain,
    ( spl0_79
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1777,plain,
    ( ~ c3_1(a722)
    | ~ c2_1(a722)
    | ~ spl0_65
    | ~ spl0_79 ),
    inference(resolution,[],[f545,f482]) ).

fof(f482,plain,
    ( c0_1(a722)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f545,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f1786,plain,
    ( ~ spl0_119
    | ~ spl0_139
    | ~ spl0_79
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1773,f1129,f544,f873,f756]) ).

fof(f756,plain,
    ( spl0_119
  <=> c3_1(a738) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f873,plain,
    ( spl0_139
  <=> c2_1(a738) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1129,plain,
    ( spl0_168
  <=> c0_1(a738) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f1773,plain,
    ( ~ c2_1(a738)
    | ~ c3_1(a738)
    | ~ spl0_79
    | ~ spl0_168 ),
    inference(resolution,[],[f545,f1131]) ).

fof(f1131,plain,
    ( c0_1(a738)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1129]) ).

fof(f1785,plain,
    ( ~ spl0_151
    | ~ spl0_138
    | ~ spl0_30
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1767,f544,f322,f868,f952]) ).

fof(f952,plain,
    ( spl0_151
  <=> c2_1(a713) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f868,plain,
    ( spl0_138
  <=> c3_1(a713) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f322,plain,
    ( spl0_30
  <=> c0_1(a713) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1767,plain,
    ( ~ c3_1(a713)
    | ~ c2_1(a713)
    | ~ spl0_30
    | ~ spl0_79 ),
    inference(resolution,[],[f545,f324]) ).

fof(f324,plain,
    ( c0_1(a713)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f1784,plain,
    ( ~ spl0_147
    | ~ spl0_175
    | ~ spl0_79
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1768,f686,f544,f1253,f927]) ).

fof(f1253,plain,
    ( spl0_175
  <=> c3_1(a695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f1768,plain,
    ( ~ c3_1(a695)
    | ~ c2_1(a695)
    | ~ spl0_79
    | ~ spl0_106 ),
    inference(resolution,[],[f545,f688]) ).

fof(f1783,plain,
    ( ~ spl0_182
    | ~ spl0_62
    | ~ spl0_79
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1769,f548,f544,f466,f1709]) ).

fof(f548,plain,
    ( spl0_80
  <=> c0_1(a691) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1769,plain,
    ( ~ c3_1(a691)
    | ~ c2_1(a691)
    | ~ spl0_79
    | ~ spl0_80 ),
    inference(resolution,[],[f545,f550]) ).

fof(f550,plain,
    ( c0_1(a691)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f1712,plain,
    ( spl0_182
    | ~ spl0_114
    | ~ spl0_76
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1692,f548,f532,f730,f1709]) ).

fof(f1692,plain,
    ( ~ c1_1(a691)
    | c2_1(a691)
    | ~ spl0_76
    | ~ spl0_80 ),
    inference(resolution,[],[f533,f550]) ).

fof(f1685,plain,
    ( ~ spl0_153
    | spl0_134
    | ~ spl0_38
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1683,f429,f361,f843,f964]) ).

fof(f964,plain,
    ( spl0_153
  <=> c1_1(a730) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f843,plain,
    ( spl0_134
  <=> c3_1(a730) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f361,plain,
    ( spl0_38
  <=> c0_1(a730) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f429,plain,
    ( spl0_53
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1683,plain,
    ( c3_1(a730)
    | ~ c1_1(a730)
    | ~ spl0_38
    | ~ spl0_53 ),
    inference(resolution,[],[f363,f430]) ).

fof(f430,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f363,plain,
    ( c0_1(a730)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f1681,plain,
    ( spl0_145
    | spl0_132
    | ~ spl0_74
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f1677,f1325,f522,f832,f916]) ).

fof(f832,plain,
    ( spl0_132
  <=> c0_1(a692) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f522,plain,
    ( spl0_74
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1677,plain,
    ( c0_1(a692)
    | c1_1(a692)
    | ~ spl0_74
    | ~ spl0_178 ),
    inference(resolution,[],[f523,f1327]) ).

fof(f523,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f1659,plain,
    ( ~ spl0_114
    | ~ spl0_62
    | ~ spl0_70
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1644,f548,f504,f466,f730]) ).

fof(f504,plain,
    ( spl0_70
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1644,plain,
    ( ~ c3_1(a691)
    | ~ c1_1(a691)
    | ~ spl0_70
    | ~ spl0_80 ),
    inference(resolution,[],[f505,f550]) ).

fof(f505,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f504]) ).

fof(f1595,plain,
    ( ~ spl0_99
    | spl0_131
    | ~ spl0_53
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1584,f1077,f429,f827,f652]) ).

fof(f652,plain,
    ( spl0_99
  <=> c1_1(a708) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f827,plain,
    ( spl0_131
  <=> c3_1(a708) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1077,plain,
    ( spl0_163
  <=> c0_1(a708) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f1584,plain,
    ( c3_1(a708)
    | ~ c1_1(a708)
    | ~ spl0_53
    | ~ spl0_163 ),
    inference(resolution,[],[f430,f1079]) ).

fof(f1079,plain,
    ( c0_1(a708)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1077]) ).

fof(f1594,plain,
    ( ~ spl0_141
    | spl0_175
    | ~ spl0_53
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1575,f686,f429,f1253,f887]) ).

fof(f1575,plain,
    ( c3_1(a695)
    | ~ c1_1(a695)
    | ~ spl0_53
    | ~ spl0_106 ),
    inference(resolution,[],[f430,f688]) ).

fof(f1562,plain,
    ( spl0_167
    | spl0_149
    | ~ spl0_16
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1522,f769,f263,f938,f1122]) ).

fof(f263,plain,
    ( spl0_16
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1522,plain,
    ( c2_1(a752)
    | c1_1(a752)
    | ~ spl0_16
    | ~ spl0_121 ),
    inference(resolution,[],[f264,f771]) ).

fof(f264,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f1561,plain,
    ( spl0_152
    | spl0_73
    | spl0_50
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1559,f500,f417,f517,f958]) ).

fof(f958,plain,
    ( spl0_152
  <=> c2_1(a744) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f517,plain,
    ( spl0_73
  <=> c1_1(a744) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f417,plain,
    ( spl0_50
  <=> c3_1(a744) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f500,plain,
    ( spl0_69
  <=> ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1559,plain,
    ( c1_1(a744)
    | c2_1(a744)
    | spl0_50
    | ~ spl0_69 ),
    inference(resolution,[],[f501,f419]) ).

fof(f419,plain,
    ( ~ c3_1(a744)
    | spl0_50 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f501,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f1531,plain,
    ( spl0_146
    | spl0_93
    | ~ spl0_16
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1521,f813,f263,f614,f922]) ).

fof(f922,plain,
    ( spl0_146
  <=> c1_1(a763) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f1521,plain,
    ( c2_1(a763)
    | c1_1(a763)
    | ~ spl0_16
    | ~ spl0_129 ),
    inference(resolution,[],[f264,f815]) ).

fof(f1515,plain,
    ( ~ spl0_169
    | spl0_43
    | ~ spl0_28
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1496,f720,f313,f386,f1135]) ).

fof(f313,plain,
    ( spl0_28
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1496,plain,
    ( c0_1(a710)
    | ~ c1_1(a710)
    | ~ spl0_28
    | ~ spl0_112 ),
    inference(resolution,[],[f314,f722]) ).

fof(f314,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f1484,plain,
    ( spl0_127
    | spl0_142
    | ~ spl0_20
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1483,f848,f277,f896,f801]) ).

fof(f801,plain,
    ( spl0_127
  <=> c0_1(a761) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f896,plain,
    ( spl0_142
  <=> c2_1(a761) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f848,plain,
    ( spl0_135
  <=> c1_1(a761) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1483,plain,
    ( c2_1(a761)
    | c0_1(a761)
    | ~ spl0_20
    | ~ spl0_135 ),
    inference(resolution,[],[f850,f278]) ).

fof(f850,plain,
    ( c1_1(a761)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f1477,plain,
    ( spl0_92
    | spl0_45
    | ~ spl0_60
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1475,f1036,f458,f395,f609]) ).

fof(f609,plain,
    ( spl0_92
  <=> c3_1(a725) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f395,plain,
    ( spl0_45
  <=> c0_1(a725) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f458,plain,
    ( spl0_60
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1036,plain,
    ( spl0_160
  <=> c2_1(a725) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1475,plain,
    ( c0_1(a725)
    | c3_1(a725)
    | ~ spl0_60
    | ~ spl0_160 ),
    inference(resolution,[],[f459,f1038]) ).

fof(f1038,plain,
    ( c2_1(a725)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1036]) ).

fof(f459,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f1424,plain,
    ( spl0_142
    | ~ spl0_135
    | ~ spl0_52
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1406,f1259,f426,f848,f896]) ).

fof(f1259,plain,
    ( spl0_176
  <=> c3_1(a761) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f1406,plain,
    ( ~ c1_1(a761)
    | c2_1(a761)
    | ~ spl0_52
    | ~ spl0_176 ),
    inference(resolution,[],[f427,f1261]) ).

fof(f1261,plain,
    ( c3_1(a761)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f1259]) ).

fof(f1423,plain,
    ( spl0_75
    | ~ spl0_118
    | ~ spl0_52
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1414,f933,f426,f751,f527]) ).

fof(f1414,plain,
    ( ~ c1_1(a717)
    | c2_1(a717)
    | ~ spl0_52
    | ~ spl0_148 ),
    inference(resolution,[],[f427,f935]) ).

fof(f935,plain,
    ( c3_1(a717)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f933]) ).

fof(f1378,plain,
    ( spl0_91
    | spl0_159
    | ~ spl0_56
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1205,f564,f442,f1009,f604]) ).

fof(f564,plain,
    ( spl0_83
  <=> c0_1(a726) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1205,plain,
    ( c2_1(a726)
    | c3_1(a726)
    | ~ spl0_56
    | spl0_83 ),
    inference(resolution,[],[f443,f566]) ).

fof(f566,plain,
    ( ~ c0_1(a726)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f1376,plain,
    ( ~ spl0_173
    | spl0_93
    | ~ spl0_59
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1339,f813,f454,f614,f1222]) ).

fof(f1339,plain,
    ( c2_1(a763)
    | ~ c3_1(a763)
    | ~ spl0_59
    | ~ spl0_129 ),
    inference(resolution,[],[f455,f815]) ).

fof(f1330,plain,
    ( spl0_163
    | spl0_131
    | ~ spl0_60
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1315,f638,f458,f827,f1077]) ).

fof(f638,plain,
    ( spl0_97
  <=> c2_1(a708) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f1315,plain,
    ( c3_1(a708)
    | c0_1(a708)
    | ~ spl0_60
    | ~ spl0_97 ),
    inference(resolution,[],[f459,f640]) ).

fof(f640,plain,
    ( c2_1(a708)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f1329,plain,
    ( spl0_128
    | spl0_108
    | ~ spl0_60
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1309,f559,f458,f695,f807]) ).

fof(f807,plain,
    ( spl0_128
  <=> c0_1(a754) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f695,plain,
    ( spl0_108
  <=> c3_1(a754) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f559,plain,
    ( spl0_82
  <=> c2_1(a754) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1309,plain,
    ( c3_1(a754)
    | c0_1(a754)
    | ~ spl0_60
    | ~ spl0_82 ),
    inference(resolution,[],[f459,f561]) ).

fof(f561,plain,
    ( c2_1(a754)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f1328,plain,
    ( spl0_132
    | spl0_178
    | ~ spl0_60
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1319,f853,f458,f1325,f832]) ).

fof(f1319,plain,
    ( c3_1(a692)
    | c0_1(a692)
    | ~ spl0_60
    | ~ spl0_136 ),
    inference(resolution,[],[f459,f855]) ).

fof(f855,plain,
    ( c2_1(a692)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f853]) ).

fof(f1322,plain,
    ( spl0_91
    | spl0_83
    | ~ spl0_60
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1312,f1009,f458,f564,f604]) ).

fof(f1312,plain,
    ( c0_1(a726)
    | c3_1(a726)
    | ~ spl0_60
    | ~ spl0_159 ),
    inference(resolution,[],[f459,f1011]) ).

fof(f1321,plain,
    ( spl0_31
    | spl0_177
    | ~ spl0_60
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1318,f858,f458,f1266,f327]) ).

fof(f1266,plain,
    ( spl0_177
  <=> c0_1(a693) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f1318,plain,
    ( c0_1(a693)
    | c3_1(a693)
    | ~ spl0_60
    | ~ spl0_137 ),
    inference(resolution,[],[f459,f860]) ).

fof(f1276,plain,
    ( spl0_31
    | spl0_84
    | ~ spl0_49
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1275,f1266,f413,f570,f327]) ).

fof(f413,plain,
    ( spl0_49
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1275,plain,
    ( c1_1(a693)
    | c3_1(a693)
    | ~ spl0_49
    | ~ spl0_177 ),
    inference(resolution,[],[f1268,f414]) ).

fof(f414,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f1268,plain,
    ( c0_1(a693)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1266]) ).

fof(f1273,plain,
    ( ~ spl0_147
    | ~ spl0_141
    | ~ spl0_58
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1272,f1253,f451,f887,f927]) ).

fof(f451,plain,
    ( spl0_58
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f1272,plain,
    ( ~ c1_1(a695)
    | ~ c2_1(a695)
    | ~ spl0_58
    | ~ spl0_175 ),
    inference(resolution,[],[f1255,f452]) ).

fof(f452,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f1255,plain,
    ( c3_1(a695)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f1253]) ).

fof(f1269,plain,
    ( spl0_177
    | spl0_84
    | ~ spl0_17
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1264,f858,f266,f570,f1266]) ).

fof(f266,plain,
    ( spl0_17
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f1264,plain,
    ( c1_1(a693)
    | c0_1(a693)
    | ~ spl0_17
    | ~ spl0_137 ),
    inference(resolution,[],[f860,f267]) ).

fof(f267,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f1262,plain,
    ( spl0_176
    | spl0_142
    | ~ spl0_56
    | spl0_127 ),
    inference(avatar_split_clause,[],[f1257,f801,f442,f896,f1259]) ).

fof(f1257,plain,
    ( c2_1(a761)
    | c3_1(a761)
    | ~ spl0_56
    | spl0_127 ),
    inference(resolution,[],[f803,f443]) ).

fof(f803,plain,
    ( ~ c0_1(a761)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f1256,plain,
    ( ~ spl0_147
    | spl0_175
    | ~ spl0_4
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1239,f686,f211,f1253,f927]) ).

fof(f211,plain,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1239,plain,
    ( c3_1(a695)
    | ~ c2_1(a695)
    | ~ spl0_4
    | ~ spl0_106 ),
    inference(resolution,[],[f212,f688]) ).

fof(f212,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f1251,plain,
    ( ~ spl0_123
    | spl0_143
    | ~ spl0_4
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f1247,f295,f211,f903,f778]) ).

fof(f295,plain,
    ( spl0_24
  <=> c0_1(a697) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1247,plain,
    ( c3_1(a697)
    | ~ c2_1(a697)
    | ~ spl0_4
    | ~ spl0_24 ),
    inference(resolution,[],[f212,f297]) ).

fof(f297,plain,
    ( c0_1(a697)
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f1236,plain,
    ( spl0_93
    | spl0_146
    | ~ spl0_55
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1235,f1222,f438,f922,f614]) ).

fof(f1235,plain,
    ( c1_1(a763)
    | c2_1(a763)
    | ~ spl0_55
    | ~ spl0_173 ),
    inference(resolution,[],[f1224,f439]) ).

fof(f1224,plain,
    ( c3_1(a763)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1222]) ).

fof(f1225,plain,
    ( spl0_146
    | spl0_173
    | ~ spl0_49
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1220,f813,f413,f1222,f922]) ).

fof(f1220,plain,
    ( c3_1(a763)
    | c1_1(a763)
    | ~ spl0_49
    | ~ spl0_129 ),
    inference(resolution,[],[f815,f414]) ).

fof(f1216,plain,
    ( spl0_66
    | spl0_133
    | spl0_42
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f1209,f442,f380,f838,f485]) ).

fof(f485,plain,
    ( spl0_66
  <=> c2_1(a698) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f838,plain,
    ( spl0_133
  <=> c3_1(a698) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f380,plain,
    ( spl0_42
  <=> c0_1(a698) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1209,plain,
    ( c3_1(a698)
    | c2_1(a698)
    | spl0_42
    | ~ spl0_56 ),
    inference(resolution,[],[f443,f382]) ).

fof(f382,plain,
    ( ~ c0_1(a698)
    | spl0_42 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f1198,plain,
    ( spl0_145
    | spl0_132
    | ~ spl0_17
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1197,f853,f266,f832,f916]) ).

fof(f1197,plain,
    ( c0_1(a692)
    | c1_1(a692)
    | ~ spl0_17
    | ~ spl0_136 ),
    inference(resolution,[],[f855,f267]) ).

fof(f1195,plain,
    ( ~ spl0_23
    | spl0_22
    | ~ spl0_29
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f1191,f454,f317,f285,f290]) ).

fof(f317,plain,
    ( spl0_29
  <=> c0_1(a702) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1191,plain,
    ( c2_1(a702)
    | ~ c3_1(a702)
    | ~ spl0_29
    | ~ spl0_59 ),
    inference(resolution,[],[f455,f319]) ).

fof(f319,plain,
    ( c0_1(a702)
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f1171,plain,
    ( spl0_170
    | spl0_11
    | ~ spl0_49
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1166,f668,f413,f241,f1168]) ).

fof(f668,plain,
    ( spl0_102
  <=> c0_1(a701) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1166,plain,
    ( c1_1(a701)
    | c3_1(a701)
    | ~ spl0_49
    | ~ spl0_102 ),
    inference(resolution,[],[f670,f414]) ).

fof(f670,plain,
    ( c0_1(a701)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f1164,plain,
    ( ~ spl0_140
    | ~ spl0_169
    | ~ spl0_58
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1158,f720,f451,f1135,f881]) ).

fof(f1158,plain,
    ( ~ c1_1(a710)
    | ~ c2_1(a710)
    | ~ spl0_58
    | ~ spl0_112 ),
    inference(resolution,[],[f452,f722]) ).

fof(f1162,plain,
    ( ~ spl0_88
    | ~ spl0_34
    | ~ spl0_40
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f1153,f451,f370,f340,f589]) ).

fof(f589,plain,
    ( spl0_88
  <=> c2_1(a733) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f340,plain,
    ( spl0_34
  <=> c1_1(a733) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f370,plain,
    ( spl0_40
  <=> c3_1(a733) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1153,plain,
    ( ~ c1_1(a733)
    | ~ c2_1(a733)
    | ~ spl0_40
    | ~ spl0_58 ),
    inference(resolution,[],[f452,f372]) ).

fof(f372,plain,
    ( c3_1(a733)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f1151,plain,
    ( spl0_22
    | spl0_156
    | ~ spl0_23
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1148,f438,f290,f985,f285]) ).

fof(f1148,plain,
    ( c1_1(a702)
    | c2_1(a702)
    | ~ spl0_23
    | ~ spl0_55 ),
    inference(resolution,[],[f439,f292]) ).

fof(f1138,plain,
    ( spl0_169
    | spl0_43
    | ~ spl0_17
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1133,f881,f266,f386,f1135]) ).

fof(f1133,plain,
    ( c0_1(a710)
    | c1_1(a710)
    | ~ spl0_17
    | ~ spl0_140 ),
    inference(resolution,[],[f883,f267]) ).

fof(f1132,plain,
    ( spl0_101
    | spl0_168
    | ~ spl0_17
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1127,f873,f266,f1129,f662]) ).

fof(f662,plain,
    ( spl0_101
  <=> c1_1(a738) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1127,plain,
    ( c0_1(a738)
    | c1_1(a738)
    | ~ spl0_17
    | ~ spl0_139 ),
    inference(resolution,[],[f875,f267]) ).

fof(f875,plain,
    ( c2_1(a738)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f873]) ).

fof(f1126,plain,
    ( ~ spl0_167
    | spl0_105
    | ~ spl0_53
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1120,f769,f429,f681,f1122]) ).

fof(f681,plain,
    ( spl0_105
  <=> c3_1(a752) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1120,plain,
    ( c3_1(a752)
    | ~ c1_1(a752)
    | ~ spl0_53
    | ~ spl0_121 ),
    inference(resolution,[],[f771,f430]) ).

fof(f1125,plain,
    ( spl0_167
    | spl0_105
    | ~ spl0_49
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1119,f769,f413,f681,f1122]) ).

fof(f1119,plain,
    ( c3_1(a752)
    | c1_1(a752)
    | ~ spl0_49
    | ~ spl0_121 ),
    inference(resolution,[],[f771,f414]) ).

fof(f1115,plain,
    ( spl0_161
    | spl0_143
    | ~ spl0_24
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1111,f413,f295,f903,f1054]) ).

fof(f1111,plain,
    ( c3_1(a697)
    | c1_1(a697)
    | ~ spl0_24
    | ~ spl0_49 ),
    inference(resolution,[],[f414,f297]) ).

fof(f1114,plain,
    ( spl0_2
    | spl0_35
    | ~ spl0_49
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1107,f643,f413,f346,f202]) ).

fof(f643,plain,
    ( spl0_98
  <=> c0_1(a751) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1107,plain,
    ( c3_1(a751)
    | c1_1(a751)
    | ~ spl0_49
    | ~ spl0_98 ),
    inference(resolution,[],[f414,f645]) ).

fof(f645,plain,
    ( c0_1(a751)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f643]) ).

fof(f1095,plain,
    ( spl0_2
    | spl0_165
    | ~ spl0_16
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1090,f643,f263,f1092,f202]) ).

fof(f1090,plain,
    ( c2_1(a751)
    | c1_1(a751)
    | ~ spl0_16
    | ~ spl0_98 ),
    inference(resolution,[],[f645,f264]) ).

fof(f1088,plain,
    ( spl0_164
    | spl0_150
    | ~ spl0_16
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1083,f480,f263,f944,f1085]) ).

fof(f1083,plain,
    ( c1_1(a722)
    | c2_1(a722)
    | ~ spl0_16
    | ~ spl0_65 ),
    inference(resolution,[],[f482,f264]) ).

fof(f1075,plain,
    ( spl0_83
    | spl0_91
    | ~ spl0_57
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1067,f762,f447,f604,f564]) ).

fof(f447,plain,
    ( spl0_57
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1067,plain,
    ( c3_1(a726)
    | c0_1(a726)
    | ~ spl0_57
    | ~ spl0_120 ),
    inference(resolution,[],[f448,f764]) ).

fof(f764,plain,
    ( c1_1(a726)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f448,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f1069,plain,
    ( spl0_128
    | spl0_108
    | ~ spl0_57
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1066,f994,f447,f695,f807]) ).

fof(f994,plain,
    ( spl0_157
  <=> c1_1(a754) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1066,plain,
    ( c3_1(a754)
    | c0_1(a754)
    | ~ spl0_57
    | ~ spl0_157 ),
    inference(resolution,[],[f448,f996]) ).

fof(f996,plain,
    ( c1_1(a754)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f994]) ).

fof(f1060,plain,
    ( spl0_90
    | spl0_130
    | ~ spl0_54
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1058,f438,f433,f818,f599]) ).

fof(f599,plain,
    ( spl0_90
  <=> c2_1(a734) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f818,plain,
    ( spl0_130
  <=> c1_1(a734) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f433,plain,
    ( spl0_54
  <=> c3_1(a734) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f1058,plain,
    ( c1_1(a734)
    | c2_1(a734)
    | ~ spl0_54
    | ~ spl0_55 ),
    inference(resolution,[],[f435,f439]) ).

fof(f435,plain,
    ( c3_1(a734)
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f1057,plain,
    ( ~ spl0_161
    | spl0_143
    | ~ spl0_24
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1051,f429,f295,f903,f1054]) ).

fof(f1051,plain,
    ( c3_1(a697)
    | ~ c1_1(a697)
    | ~ spl0_24
    | ~ spl0_53 ),
    inference(resolution,[],[f297,f430]) ).

fof(f1043,plain,
    ( spl0_117
    | spl0_45
    | ~ spl0_17
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1042,f1036,f266,f395,f745]) ).

fof(f745,plain,
    ( spl0_117
  <=> c1_1(a725) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1042,plain,
    ( c0_1(a725)
    | c1_1(a725)
    | ~ spl0_17
    | ~ spl0_160 ),
    inference(resolution,[],[f1038,f267]) ).

fof(f1041,plain,
    ( spl0_69
    | ~ spl0_49
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f1032,f442,f413,f500]) ).

fof(f1032,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_49
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f1025]) ).

fof(f1025,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_49
    | ~ spl0_56 ),
    inference(resolution,[],[f443,f414]) ).

fof(f1040,plain,
    ( spl0_69
    | ~ spl0_16
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f1034,f442,f263,f500]) ).

fof(f1034,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c1_1(X2)
        | c2_1(X2) )
    | ~ spl0_16
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f1026]) ).

fof(f1026,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) )
    | ~ spl0_16
    | ~ spl0_56 ),
    inference(resolution,[],[f443,f264]) ).

fof(f1039,plain,
    ( spl0_92
    | spl0_160
    | spl0_45
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f1031,f442,f395,f1036,f609]) ).

fof(f1031,plain,
    ( c2_1(a725)
    | c3_1(a725)
    | spl0_45
    | ~ spl0_56 ),
    inference(resolution,[],[f443,f397]) ).

fof(f397,plain,
    ( ~ c0_1(a725)
    | spl0_45 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f1017,plain,
    ( ~ spl0_100
    | spl0_111
    | ~ spl0_28
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1016,f583,f313,f714,f657]) ).

fof(f657,plain,
    ( spl0_100
  <=> c1_1(a760) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1016,plain,
    ( c0_1(a760)
    | ~ c1_1(a760)
    | ~ spl0_28
    | ~ spl0_87 ),
    inference(resolution,[],[f314,f585]) ).

fof(f1012,plain,
    ( spl0_159
    | spl0_83
    | ~ spl0_20
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1001,f762,f277,f564,f1009]) ).

fof(f1001,plain,
    ( c0_1(a726)
    | c2_1(a726)
    | ~ spl0_20
    | ~ spl0_120 ),
    inference(resolution,[],[f278,f764]) ).

fof(f1007,plain,
    ( spl0_111
    | spl0_158
    | ~ spl0_20
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f999,f657,f277,f1004,f714]) ).

fof(f999,plain,
    ( c2_1(a760)
    | c0_1(a760)
    | ~ spl0_20
    | ~ spl0_100 ),
    inference(resolution,[],[f278,f659]) ).

fof(f659,plain,
    ( c1_1(a760)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f997,plain,
    ( spl0_157
    | spl0_128
    | ~ spl0_17
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f990,f559,f266,f807,f994]) ).

fof(f990,plain,
    ( c0_1(a754)
    | c1_1(a754)
    | ~ spl0_17
    | ~ spl0_82 ),
    inference(resolution,[],[f267,f561]) ).

fof(f982,plain,
    ( spl0_155
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f55,f490,f979]) ).

fof(f490,plain,
    ( spl0_67
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f55,axiom,
    ( ~ hskp24
    | c1_1(a764) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f967,plain,
    ( spl0_153
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f67,f365,f964]) ).

fof(f365,plain,
    ( spl0_39
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f67,axiom,
    ( ~ hskp14
    | c1_1(a730) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f962,plain,
    ( ~ spl0_6
    | spl0_86
    | spl0_61
    | spl0_71 ),
    inference(avatar_split_clause,[],[f195,f507,f461,f579,f218]) ).

fof(f218,plain,
    ( spl0_6
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

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

fof(f961,plain,
    ( ~ spl0_152
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f104,f421,f958]) ).

fof(f421,plain,
    ( spl0_51
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f104,axiom,
    ( ~ hskp17
    | ~ c2_1(a744) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f956,plain,
    ( spl0_33
    | spl0_15
    | spl0_36 ),
    inference(avatar_split_clause,[],[f32,f351,f259,f336]) ).

fof(f336,plain,
    ( spl0_33
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f259,plain,
    ( spl0_15
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f351,plain,
    ( spl0_36
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f32,axiom,
    ( hskp12
    | hskp28
    | hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

fof(f955,plain,
    ( ~ spl0_18
    | spl0_151 ),
    inference(avatar_split_clause,[],[f44,f952,f270]) ).

fof(f270,plain,
    ( spl0_18
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f44,axiom,
    ( c2_1(a713)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f950,plain,
    ( spl0_39
    | ~ spl0_6
    | spl0_103
    | spl0_79 ),
    inference(avatar_split_clause,[],[f180,f544,f673,f218,f365]) ).

fof(f180,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | hskp14
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f947,plain,
    ( ~ spl0_14
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f115,f944,f254]) ).

fof(f254,plain,
    ( spl0_14
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f115,axiom,
    ( ~ c1_1(a722)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f941,plain,
    ( ~ spl0_149
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f99,f677,f938]) ).

fof(f677,plain,
    ( spl0_104
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f99,axiom,
    ( ~ hskp19
    | ~ c2_1(a752) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f936,plain,
    ( ~ spl0_41
    | spl0_148 ),
    inference(avatar_split_clause,[],[f72,f933,f375]) ).

fof(f375,plain,
    ( spl0_41
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f72,axiom,
    ( c3_1(a717)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f930,plain,
    ( spl0_147
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f48,f259,f927]) ).

fof(f48,axiom,
    ( ~ hskp28
    | c2_1(a695) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f925,plain,
    ( ~ spl0_146
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f92,f250,f922]) ).

fof(f250,plain,
    ( spl0_13
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f92,axiom,
    ( ~ hskp23
    | ~ c1_1(a763) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f919,plain,
    ( ~ spl0_145
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f132,f475,f916]) ).

fof(f475,plain,
    ( spl0_64
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f132,axiom,
    ( ~ hskp0
    | ~ c1_1(a692) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f907,plain,
    ( spl0_59
    | ~ spl0_6
    | spl0_60
    | spl0_57 ),
    inference(avatar_split_clause,[],[f192,f447,f458,f218,f454]) ).

fof(f192,axiom,
    ! [X2,X0,X1] :
      ( ~ c1_1(X2)
      | c0_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | c3_1(X1)
      | c3_1(X2)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).

fof(f906,plain,
    ( ~ spl0_143
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f127,f232,f903]) ).

fof(f232,plain,
    ( spl0_9
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f127,axiom,
    ( ~ hskp3
    | ~ c3_1(a697) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f901,plain,
    ( spl0_79
    | ~ spl0_6
    | spl0_53
    | spl0_56 ),
    inference(avatar_split_clause,[],[f193,f442,f429,f218,f544]) ).

fof(f193,axiom,
    ! [X2,X0,X1] :
      ( c0_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | c2_1(X2)
      | c3_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c3_1(X1)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).

fof(f900,plain,
    ( spl0_6
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f6,f400,f218]) ).

fof(f400,plain,
    ( spl0_46
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f6,axiom,
    ( ~ hskp25
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

fof(f899,plain,
    ( ~ spl0_5
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f95,f896,f214]) ).

fof(f214,plain,
    ( spl0_5
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f95,axiom,
    ( ~ c2_1(a761)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f894,plain,
    ( spl0_44
    | spl0_60
    | spl0_58
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f178,f218,f451,f458,f390]) ).

fof(f390,plain,
    ( spl0_44
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | c3_1(X1)
      | hskp8
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f891,plain,
    ( spl0_6
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f3,f259,f218]) ).

fof(f3,axiom,
    ( ~ hskp28
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

fof(f890,plain,
    ( ~ spl0_15
    | spl0_141 ),
    inference(avatar_split_clause,[],[f47,f887,f259]) ).

fof(f47,axiom,
    ( c1_1(a695)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f885,plain,
    ( ~ spl0_6
    | spl0_48
    | spl0_53
    | spl0_89 ),
    inference(avatar_split_clause,[],[f151,f594,f429,f409,f218]) ).

fof(f409,plain,
    ( spl0_48
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f594,plain,
    ( spl0_89
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f151,axiom,
    ! [X0] :
      ( hskp16
      | ~ c0_1(X0)
      | c3_1(X0)
      | hskp15
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f884,plain,
    ( ~ spl0_44
    | spl0_140 ),
    inference(avatar_split_clause,[],[f73,f881,f390]) ).

fof(f73,axiom,
    ( c2_1(a710)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f878,plain,
    ( ~ spl0_6
    | spl0_20
    | spl0_63
    | spl0_17 ),
    inference(avatar_split_clause,[],[f158,f266,f470,f277,f218]) ).

fof(f470,plain,
    ( spl0_63
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f158,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | c1_1(X1)
      | ~ c2_1(X1)
      | hskp27
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f876,plain,
    ( spl0_139
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f63,f594,f873]) ).

fof(f63,axiom,
    ( ~ hskp16
    | c2_1(a738) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f871,plain,
    ( ~ spl0_18
    | spl0_138 ),
    inference(avatar_split_clause,[],[f45,f868,f270]) ).

fof(f45,axiom,
    ( c3_1(a713)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f866,plain,
    ( ~ spl0_6
    | spl0_37
    | spl0_33
    | spl0_70 ),
    inference(avatar_split_clause,[],[f155,f504,f336,f356,f218]) ).

fof(f356,plain,
    ( spl0_37
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f155,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | hskp30
      | hskp20
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f865,plain,
    ( spl0_46
    | spl0_5
    | spl0_15 ),
    inference(avatar_split_clause,[],[f33,f259,f214,f400]) ).

fof(f33,axiom,
    ( hskp28
    | hskp22
    | hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f861,plain,
    ( ~ spl0_32
    | spl0_137 ),
    inference(avatar_split_clause,[],[f85,f858,f331]) ).

fof(f331,plain,
    ( spl0_32
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f85,axiom,
    ( c2_1(a693)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f856,plain,
    ( spl0_136
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f86,f475,f853]) ).

fof(f86,axiom,
    ( ~ hskp0
    | c2_1(a692) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f851,plain,
    ( spl0_135
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f57,f214,f848]) ).

fof(f57,axiom,
    ( ~ hskp22
    | c1_1(a761) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f846,plain,
    ( ~ spl0_39
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f109,f843,f365]) ).

fof(f109,axiom,
    ( ~ c3_1(a730)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f841,plain,
    ( ~ spl0_27
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f126,f838,f309]) ).

fof(f309,plain,
    ( spl0_27
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f126,axiom,
    ( ~ c3_1(a698)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f836,plain,
    ( ~ spl0_6
    | spl0_56
    | spl0_63
    | spl0_21 ),
    inference(avatar_split_clause,[],[f134,f281,f470,f442,f218]) ).

fof(f281,plain,
    ( spl0_21
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f134,axiom,
    ! [X0] :
      ( hskp6
      | hskp27
      | c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f835,plain,
    ( ~ spl0_132
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f131,f475,f832]) ).

fof(f131,axiom,
    ( ~ hskp0
    | ~ c0_1(a692) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f830,plain,
    ( ~ spl0_131
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f121,f575,f827]) ).

fof(f575,plain,
    ( spl0_85
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f121,axiom,
    ( ~ hskp7
    | ~ c3_1(a708) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f824,plain,
    ( spl0_1
    | ~ spl0_6
    | spl0_104
    | spl0_52 ),
    inference(avatar_split_clause,[],[f148,f426,f677,f218,f198]) ).

fof(f198,plain,
    ( spl0_1
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f148,axiom,
    ! [X0] :
      ( ~ c1_1(X0)
      | hskp19
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f823,plain,
    ( spl0_9
    | spl0_20
    | spl0_74
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f160,f218,f522,f277,f232]) ).

fof(f160,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0)
      | hskp3
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f821,plain,
    ( ~ spl0_130
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f107,f409,f818]) ).

fof(f107,axiom,
    ( ~ hskp15
    | ~ c1_1(a734) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f816,plain,
    ( spl0_129
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f56,f250,f813]) ).

fof(f56,axiom,
    ( ~ hskp23
    | c0_1(a763) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f810,plain,
    ( ~ spl0_37
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f97,f807,f356]) ).

fof(f97,axiom,
    ( ~ c0_1(a754)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f804,plain,
    ( ~ spl0_5
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f94,f801,f214]) ).

fof(f94,axiom,
    ( ~ c0_1(a761)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f794,plain,
    ( spl0_125
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f70,f254,f791]) ).

fof(f70,axiom,
    ( ~ hskp11
    | c3_1(a722) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f788,plain,
    ( ~ spl0_10
    | spl0_124 ),
    inference(avatar_split_clause,[],[f80,f785,f237]) ).

fof(f237,plain,
    ( spl0_10
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f80,axiom,
    ( c2_1(a701)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f783,plain,
    ( ~ spl0_6
    | spl0_53
    | spl0_78
    | spl0_20 ),
    inference(avatar_split_clause,[],[f194,f277,f541,f429,f218]) ).

fof(f194,axiom,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | ~ c1_1(X0)
      | c0_1(X2)
      | ~ c1_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).

fof(f782,plain,
    ( spl0_37
    | spl0_33
    | spl0_32 ),
    inference(avatar_split_clause,[],[f38,f331,f336,f356]) ).

fof(f38,axiom,
    ( hskp1
    | hskp30
    | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f781,plain,
    ( spl0_123
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f82,f232,f778]) ).

fof(f82,axiom,
    ( ~ hskp3
    | c2_1(a697) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f772,plain,
    ( ~ spl0_104
    | spl0_121 ),
    inference(avatar_split_clause,[],[f61,f769,f677]) ).

fof(f61,axiom,
    ( c0_1(a752)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f767,plain,
    ( spl0_86
    | spl0_55
    | ~ spl0_6
    | spl0_53 ),
    inference(avatar_split_clause,[],[f196,f429,f218,f438,f579]) ).

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

fof(f765,plain,
    ( spl0_120
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f68,f246,f762]) ).

fof(f246,plain,
    ( spl0_12
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f68,axiom,
    ( ~ hskp13
    | c1_1(a726) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f759,plain,
    ( spl0_119
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f64,f594,f756]) ).

fof(f64,axiom,
    ( ~ hskp16
    | c3_1(a738) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f754,plain,
    ( ~ spl0_41
    | spl0_118 ),
    inference(avatar_split_clause,[],[f71,f751,f375]) ).

fof(f71,axiom,
    ( c1_1(a717)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f749,plain,
    ( spl0_9
    | ~ spl0_6
    | spl0_32
    | spl0_55 ),
    inference(avatar_split_clause,[],[f140,f438,f331,f218,f232]) ).

fof(f140,axiom,
    ! [X0] :
      ( c2_1(X0)
      | ~ c3_1(X0)
      | hskp1
      | ~ ndr1_0
      | hskp3
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f748,plain,
    ( ~ spl0_36
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f113,f745,f351]) ).

fof(f113,axiom,
    ( ~ c1_1(a725)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f733,plain,
    ( ~ spl0_63
    | spl0_114 ),
    inference(avatar_split_clause,[],[f50,f730,f470]) ).

fof(f50,axiom,
    ( c1_1(a691)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f723,plain,
    ( ~ spl0_44
    | spl0_112 ),
    inference(avatar_split_clause,[],[f74,f720,f390]) ).

fof(f74,axiom,
    ( c3_1(a710)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f717,plain,
    ( ~ spl0_111
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f96,f207,f714]) ).

fof(f207,plain,
    ( spl0_3
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f96,axiom,
    ( ~ hskp21
    | ~ c0_1(a760) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f703,plain,
    ( ~ spl0_6
    | spl0_10
    | spl0_19
    | spl0_76 ),
    inference(avatar_split_clause,[],[f179,f532,f274,f237,f218]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | hskp5
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f699,plain,
    ( spl0_59
    | spl0_64
    | spl0_49
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f175,f218,f413,f475,f454]) ).

fof(f175,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c3_1(X1)
      | hskp0
      | ~ c0_1(X1)
      | c1_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f698,plain,
    ( ~ spl0_37
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f98,f695,f356]) ).

fof(f98,axiom,
    ( ~ c3_1(a754)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f689,plain,
    ( ~ spl0_15
    | spl0_106 ),
    inference(avatar_split_clause,[],[f46,f686,f259]) ).

fof(f46,axiom,
    ( c0_1(a695)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f684,plain,
    ( ~ spl0_104
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f100,f681,f677]) ).

fof(f100,axiom,
    ( ~ c3_1(a752)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f675,plain,
    ( spl0_77
    | spl0_15
    | spl0_103
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f168,f218,f673,f259,f536]) ).

fof(f168,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c1_1(X1)
      | hskp28
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X1)
      | c2_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f671,plain,
    ( ~ spl0_10
    | spl0_102 ),
    inference(avatar_split_clause,[],[f79,f668,f237]) ).

fof(f79,axiom,
    ( c0_1(a701)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f665,plain,
    ( ~ spl0_89
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f106,f662,f594]) ).

fof(f106,axiom,
    ( ~ c1_1(a738)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f660,plain,
    ( ~ spl0_3
    | spl0_100 ),
    inference(avatar_split_clause,[],[f58,f657,f207]) ).

fof(f58,axiom,
    ( c1_1(a760)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f655,plain,
    ( spl0_99
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f75,f575,f652]) ).

fof(f75,axiom,
    ( ~ hskp7
    | c1_1(a708) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f650,plain,
    ( spl0_27
    | ~ spl0_6
    | spl0_9
    | spl0_17 ),
    inference(avatar_split_clause,[],[f138,f266,f232,f218,f309]) ).

fof(f138,axiom,
    ! [X0] :
      ( c0_1(X0)
      | hskp3
      | ~ ndr1_0
      | ~ c2_1(X0)
      | hskp4
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f646,plain,
    ( ~ spl0_1
    | spl0_98 ),
    inference(avatar_split_clause,[],[f62,f643,f198]) ).

fof(f62,axiom,
    ( c0_1(a751)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f641,plain,
    ( ~ spl0_85
    | spl0_97 ),
    inference(avatar_split_clause,[],[f76,f638,f575]) ).

fof(f76,axiom,
    ( c2_1(a708)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f631,plain,
    ( spl0_1
    | spl0_13
    | spl0_3 ),
    inference(avatar_split_clause,[],[f37,f207,f250,f198]) ).

fof(f37,axiom,
    ( hskp21
    | hskp23
    | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f619,plain,
    ( spl0_6
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f9,f214,f218]) ).

fof(f9,axiom,
    ( ~ hskp22
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).

fof(f617,plain,
    ( ~ spl0_13
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f93,f614,f250]) ).

fof(f93,axiom,
    ( ~ c2_1(a763)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f612,plain,
    ( ~ spl0_36
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f114,f609,f351]) ).

fof(f114,axiom,
    ( ~ c3_1(a725)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f607,plain,
    ( ~ spl0_91
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f111,f246,f604]) ).

fof(f111,axiom,
    ( ~ hskp13
    | ~ c3_1(a726) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f602,plain,
    ( ~ spl0_48
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f108,f599,f409]) ).

fof(f108,axiom,
    ( ~ c2_1(a734)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f592,plain,
    ( ~ spl0_33
    | spl0_88 ),
    inference(avatar_split_clause,[],[f41,f589,f336]) ).

fof(f41,axiom,
    ( c2_1(a733)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f586,plain,
    ( spl0_87
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f59,f207,f583]) ).

fof(f59,axiom,
    ( ~ hskp21
    | c3_1(a760) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f581,plain,
    ( spl0_12
    | ~ spl0_6
    | spl0_85
    | spl0_86 ),
    inference(avatar_split_clause,[],[f146,f579,f575,f218,f246]) ).

fof(f146,axiom,
    ! [X0] :
      ( c1_1(X0)
      | hskp7
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f573,plain,
    ( ~ spl0_84
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f129,f331,f570]) ).

fof(f129,axiom,
    ( ~ hskp1
    | ~ c1_1(a693) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f568,plain,
    ( spl0_78
    | spl0_17
    | spl0_49
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f191,f218,f413,f266,f541]) ).

fof(f191,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | c1_1(X1)
      | c3_1(X1)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X1)
      | c0_1(X2)
      | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).

fof(f567,plain,
    ( ~ spl0_12
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f110,f564,f246]) ).

fof(f110,axiom,
    ( ~ c0_1(a726)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f562,plain,
    ( spl0_82
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f60,f356,f559]) ).

fof(f60,axiom,
    ( ~ hskp20
    | c2_1(a754) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f557,plain,
    ( ~ spl0_6
    | spl0_13
    | spl0_81
    | spl0_67 ),
    inference(avatar_split_clause,[],[f153,f490,f555,f250,f218]) ).

fof(f153,axiom,
    ! [X0] :
      ( hskp24
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | hskp23
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f553,plain,
    ( ~ spl0_6
    | spl0_18
    | spl0_55
    | spl0_20 ),
    inference(avatar_split_clause,[],[f163,f277,f438,f270,f218]) ).

fof(f163,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | c2_1(X0)
      | hskp29
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f552,plain,
    ( spl0_14
    | spl0_71
    | spl0_77
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f173,f218,f536,f507,f254]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c3_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | c2_1(X0)
      | hskp11
      | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f551,plain,
    ( spl0_80
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f49,f470,f548]) ).

fof(f49,axiom,
    ( ~ hskp27
    | c0_1(a691) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f539,plain,
    ( spl0_41
    | spl0_28
    | ~ spl0_6
    | spl0_60 ),
    inference(avatar_split_clause,[],[f171,f458,f218,f313,f375]) ).

fof(f171,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X0)
      | hskp10
      | ~ c3_1(X0)
      | c3_1(X1)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f538,plain,
    ( ~ spl0_6
    | spl0_60
    | spl0_16
    | spl0_77 ),
    inference(avatar_split_clause,[],[f190,f536,f263,f458,f218]) ).

fof(f190,axiom,
    ! [X2,X0,X1] :
      ( c3_1(X0)
      | c2_1(X0)
      | c1_1(X1)
      | c3_1(X2)
      | c2_1(X1)
      | ~ c2_1(X2)
      | ~ c0_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).

fof(f534,plain,
    ( spl0_32
    | spl0_76
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_split_clause,[],[f147,f237,f218,f532,f331]) ).

fof(f147,axiom,
    ! [X0] :
      ( hskp5
      | ~ ndr1_0
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f530,plain,
    ( ~ spl0_41
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f116,f527,f375]) ).

fof(f116,axiom,
    ( ~ c2_1(a717)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f525,plain,
    ( ~ spl0_6
    | spl0_39
    | spl0_9
    | spl0_49 ),
    inference(avatar_split_clause,[],[f141,f413,f232,f365,f218]) ).

fof(f141,axiom,
    ! [X0] :
      ( c3_1(X0)
      | hskp3
      | hskp14
      | ~ ndr1_0
      | ~ c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

fof(f520,plain,
    ( ~ spl0_51
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f103,f517,f421]) ).

fof(f103,axiom,
    ( ~ c1_1(a744)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f514,plain,
    ( ~ spl0_67
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f90,f511,f490]) ).

fof(f90,axiom,
    ( ~ c2_1(a764)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f502,plain,
    ( spl0_20
    | ~ spl0_6
    | spl0_69
    | spl0_56 ),
    inference(avatar_split_clause,[],[f184,f442,f500,f218,f277]) ).

fof(f184,axiom,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c2_1(X1)
      | ~ ndr1_0
      | c0_1(X2)
      | c3_1(X2)
      | c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f498,plain,
    ( ~ spl0_67
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f91,f495,f490]) ).

fof(f91,axiom,
    ( ~ c3_1(a764)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f488,plain,
    ( ~ spl0_27
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f125,f485,f309]) ).

fof(f125,axiom,
    ( ~ c2_1(a698)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f483,plain,
    ( spl0_65
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f69,f254,f480]) ).

fof(f69,axiom,
    ( ~ hskp11
    | c0_1(a722) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f478,plain,
    ( ~ spl0_6
    | spl0_64
    | spl0_56
    | spl0_59 ),
    inference(avatar_split_clause,[],[f162,f454,f442,f475,f218]) ).

fof(f162,axiom,
    ! [X0,X1] :
      ( c2_1(X0)
      | c2_1(X1)
      | hskp0
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f473,plain,
    ( spl0_62
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f51,f470,f466]) ).

fof(f51,axiom,
    ( ~ hskp27
    | c3_1(a691) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f463,plain,
    ( spl0_21
    | spl0_60
    | ~ spl0_6
    | spl0_61 ),
    inference(avatar_split_clause,[],[f165,f461,f218,f458,f281]) ).

fof(f165,axiom,
    ! [X0,X1] :
      ( c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | ~ c2_1(X1)
      | hskp6
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f456,plain,
    ( ~ spl0_6
    | spl0_15
    | spl0_58
    | spl0_59 ),
    inference(avatar_split_clause,[],[f186,f454,f451,f259,f218]) ).

fof(f186,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | hskp28
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

fof(f449,plain,
    ( ~ spl0_6
    | spl0_56
    | spl0_57
    | spl0_21 ),
    inference(avatar_split_clause,[],[f157,f281,f447,f442,f218]) ).

fof(f157,axiom,
    ! [X0,X1] :
      ( hskp6
      | c0_1(X0)
      | c3_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f444,plain,
    ( spl0_44
    | ~ spl0_6
    | spl0_56
    | spl0_10 ),
    inference(avatar_split_clause,[],[f136,f237,f442,f218,f390]) ).

fof(f136,axiom,
    ! [X0] :
      ( hskp5
      | c2_1(X0)
      | ~ ndr1_0
      | hskp8
      | c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f440,plain,
    ( ~ spl0_6
    | spl0_12
    | spl0_49
    | spl0_55 ),
    inference(avatar_split_clause,[],[f167,f438,f413,f246,f218]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | hskp13
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f436,plain,
    ( spl0_54
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f65,f409,f433]) ).

fof(f65,axiom,
    ( ~ hskp15
    | c3_1(a734) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f431,plain,
    ( spl0_51
    | ~ spl0_6
    | spl0_52
    | spl0_53 ),
    inference(avatar_split_clause,[],[f183,f429,f426,f218,f421]) ).

fof(f183,axiom,
    ! [X0,X1] :
      ( c3_1(X0)
      | ~ c3_1(X1)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f424,plain,
    ( ~ spl0_50
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f105,f421,f417]) ).

fof(f105,axiom,
    ( ~ hskp17
    | ~ c3_1(a744) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f415,plain,
    ( spl0_48
    | spl0_49
    | spl0_36
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f143,f218,f351,f413,f409]) ).

fof(f143,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp12
      | ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f398,plain,
    ( ~ spl0_36
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f112,f395,f351]) ).

fof(f112,axiom,
    ( ~ c0_1(a725)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f393,plain,
    ( ~ spl0_43
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f120,f390,f386]) ).

fof(f120,axiom,
    ( ~ hskp8
    | ~ c0_1(a710) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f383,plain,
    ( ~ spl0_27
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f124,f380,f309]) ).

fof(f124,axiom,
    ( ~ c0_1(a698)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f373,plain,
    ( ~ spl0_33
    | spl0_40 ),
    inference(avatar_split_clause,[],[f42,f370,f336]) ).

fof(f42,axiom,
    ( c3_1(a733)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f368,plain,
    ( spl0_38
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f66,f365,f361]) ).

fof(f66,axiom,
    ( ~ hskp14
    | c0_1(a730) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f359,plain,
    ( spl0_37
    | spl0_12
    | spl0_36 ),
    inference(avatar_split_clause,[],[f39,f351,f246,f356]) ).

fof(f39,axiom,
    ( hskp12
    | hskp13
    | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f349,plain,
    ( ~ spl0_1
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f102,f346,f198]) ).

fof(f102,axiom,
    ( ~ c3_1(a751)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f343,plain,
    ( ~ spl0_33
    | spl0_34 ),
    inference(avatar_split_clause,[],[f40,f340,f336]) ).

fof(f40,axiom,
    ( c1_1(a733)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f334,plain,
    ( ~ spl0_31
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f130,f331,f327]) ).

fof(f130,axiom,
    ( ~ hskp1
    | ~ c3_1(a693) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f325,plain,
    ( ~ spl0_18
    | spl0_30 ),
    inference(avatar_split_clause,[],[f43,f322,f270]) ).

fof(f43,axiom,
    ( c0_1(a713)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f320,plain,
    ( ~ spl0_21
    | spl0_29 ),
    inference(avatar_split_clause,[],[f77,f317,f281]) ).

fof(f77,axiom,
    ( c0_1(a702)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f315,plain,
    ( spl0_27
    | spl0_28
    | ~ spl0_6
    | spl0_16 ),
    inference(avatar_split_clause,[],[f172,f263,f218,f313,f309]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | hskp4
      | ~ c1_1(X1)
      | c0_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f298,plain,
    ( spl0_24
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f81,f232,f295]) ).

fof(f81,axiom,
    ( ~ hskp3
    | c0_1(a697) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f293,plain,
    ( spl0_23
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f78,f281,f290]) ).

fof(f78,axiom,
    ( ~ hskp6
    | c3_1(a702) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f288,plain,
    ( ~ spl0_21
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f122,f285,f281]) ).

fof(f122,axiom,
    ( ~ c2_1(a702)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f268,plain,
    ( ~ spl0_6
    | spl0_15
    | spl0_16
    | spl0_17 ),
    inference(avatar_split_clause,[],[f159,f266,f263,f259,f218]) ).

fof(f159,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | c1_1(X0)
      | hskp28
      | c2_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f257,plain,
    ( spl0_12
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f36,f254,f250,f246]) ).

fof(f36,axiom,
    ( hskp11
    | hskp23
    | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f244,plain,
    ( ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f123,f241,f237]) ).

fof(f123,axiom,
    ( ~ c1_1(a701)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f221,plain,
    ( spl0_3
    | spl0_4
    | spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f152,f218,f214,f211,f207]) ).

fof(f152,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp22
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0)
      | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f205,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f101,f202,f198]) ).

fof(f101,axiom,
    ( ~ c1_1(a751)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN472-1 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 21:54:50 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (32488)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)
% 0.19/0.50  % (32480)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)
% 0.19/0.50  % (32482)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)
% 0.19/0.50  % (32490)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)
% 0.19/0.51  % (32504)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.51  % (32485)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)
% 0.19/0.51  % (32484)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)
% 0.19/0.52  % (32502)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)
% 0.19/0.52  % (32483)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (32493)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)
% 0.19/0.52  % (32481)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)
% 0.19/0.52  % (32507)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52  % (32494)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)
% 0.19/0.52  % (32487)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52  % (32487)Instruction limit reached!
% 0.19/0.52  % (32487)------------------------------
% 0.19/0.52  % (32487)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (32487)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (32487)Termination reason: Unknown
% 0.19/0.52  % (32487)Termination phase: Blocked clause elimination
% 0.19/0.52  
% 0.19/0.52  % (32487)Memory used [KB]: 1151
% 0.19/0.52  % (32487)Time elapsed: 0.003 s
% 0.19/0.52  % (32487)Instructions burned: 3 (million)
% 0.19/0.52  % (32487)------------------------------
% 0.19/0.52  % (32487)------------------------------
% 0.19/0.52  % (32505)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)
% 0.19/0.52  % (32492)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52  % (32506)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)
% 0.19/0.52  % (32489)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  Detected maximum model sizes of [31]
% 0.19/0.53  % (32497)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  TRYING [1]
% 0.19/0.53  % (32501)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)
% 0.19/0.53  TRYING [2]
% 0.19/0.53  % (32499)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)
% 0.19/0.53  TRYING [3]
% 0.19/0.53  % (32498)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)
% 0.19/0.54  % (32491)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.54  % (32486)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54  % (32486)Instruction limit reached!
% 0.19/0.54  % (32486)------------------------------
% 0.19/0.54  % (32486)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (32486)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (32486)Termination reason: Unknown
% 0.19/0.54  % (32486)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (32486)Memory used [KB]: 6012
% 0.19/0.54  % (32486)Time elapsed: 0.109 s
% 0.19/0.54  % (32486)Instructions burned: 8 (million)
% 0.19/0.54  % (32486)------------------------------
% 0.19/0.54  % (32486)------------------------------
% 0.19/0.54  % (32508)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)
% 0.19/0.54  TRYING [4]
% 0.19/0.54  % (32503)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54  % (32500)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54  % (32479)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)
% 0.19/0.55  Detected maximum model sizes of [31]
% 0.19/0.55  % (32495)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)
% 0.19/0.56  % (32496)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.56  % (32488)Instruction limit reached!
% 0.19/0.56  % (32488)------------------------------
% 0.19/0.56  % (32488)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (32490)First to succeed.
% 0.19/0.57  % (32488)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (32488)Termination reason: Unknown
% 0.19/0.57  % (32488)Termination phase: Saturation
% 0.19/0.57  
% 0.19/0.57  % (32488)Memory used [KB]: 1407
% 0.19/0.57  % (32488)Time elapsed: 0.156 s
% 0.19/0.57  % (32488)Instructions burned: 52 (million)
% 0.19/0.57  % (32488)------------------------------
% 0.19/0.57  % (32488)------------------------------
% 0.19/0.57  Detected maximum model sizes of [31]
% 0.19/0.57  TRYING [1]
% 0.19/0.57  % (32485)Instruction limit reached!
% 0.19/0.57  % (32485)------------------------------
% 0.19/0.57  % (32485)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  TRYING [2]
% 0.19/0.57  TRYING [3]
% 0.19/0.58  TRYING [4]
% 0.19/0.58  % (32481)Instruction limit reached!
% 0.19/0.58  % (32481)------------------------------
% 0.19/0.58  % (32481)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.58  % (32480)Instruction limit reached!
% 1.79/0.58  % (32480)------------------------------
% 1.79/0.58  % (32480)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.58  % (32480)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.58  % (32480)Termination reason: Unknown
% 1.79/0.58  % (32480)Termination phase: Saturation
% 1.79/0.58  
% 1.79/0.58  % (32480)Memory used [KB]: 6524
% 1.79/0.58  % (32480)Time elapsed: 0.184 s
% 1.79/0.58  % (32480)Instructions burned: 50 (million)
% 1.79/0.58  % (32480)------------------------------
% 1.79/0.58  % (32480)------------------------------
% 1.79/0.59  % (32481)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.59  % (32481)Termination reason: Unknown
% 1.79/0.59  % (32481)Termination phase: Saturation
% 1.79/0.59  
% 1.79/0.59  % (32481)Memory used [KB]: 1279
% 1.79/0.59  % (32481)Time elapsed: 0.167 s
% 1.79/0.59  % (32481)Instructions burned: 37 (million)
% 1.79/0.59  % (32481)------------------------------
% 1.79/0.59  % (32481)------------------------------
% 1.79/0.59  TRYING [1]
% 1.79/0.59  TRYING [2]
% 1.79/0.59  TRYING [3]
% 1.79/0.59  % (32490)Refutation found. Thanks to Tanya!
% 1.79/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.79/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.79/0.59  % (32490)------------------------------
% 1.79/0.59  % (32490)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.59  % (32490)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.59  % (32490)Termination reason: Refutation
% 1.79/0.59  
% 1.79/0.59  % (32490)Memory used [KB]: 6652
% 1.79/0.59  % (32490)Time elapsed: 0.170 s
% 1.79/0.59  % (32490)Instructions burned: 34 (million)
% 1.79/0.59  % (32490)------------------------------
% 1.79/0.59  % (32490)------------------------------
% 1.79/0.59  % (32478)Success in time 0.238 s
%------------------------------------------------------------------------------