TSTP Solution File: SYN483-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN483-1 : 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 : n008.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 19:38:24 EDT 2022

% Result   : Unsatisfiable 0.19s 0.59s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  218
% Syntax   : Number of formulae    :  502 (   1 unt;   0 def)
%            Number of atoms       : 1555 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 1839 ( 786   ~; 930   |;   0   &)
%                                         ( 123 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  150 ( 149 usr; 146 prp; 0-1 aty)
%            Number of functors    :   21 (  21 usr;  21 con; 0-0 aty)
%            Number of variables   :   96 (  96   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2206,plain,
    $false,
    inference(avatar_sat_refutation,[],[f205,f234,f238,f247,f260,f269,f274,f303,f312,f319,f336,f343,f354,f368,f377,f382,f387,f415,f426,f431,f442,f444,f449,f474,f479,f484,f498,f503,f524,f529,f534,f546,f561,f566,f567,f572,f576,f577,f578,f583,f589,f595,f604,f609,f614,f619,f622,f650,f655,f660,f682,f683,f711,f713,f719,f729,f734,f754,f766,f771,f777,f778,f788,f794,f800,f810,f812,f813,f814,f820,f826,f832,f841,f849,f850,f851,f852,f857,f858,f859,f864,f870,f875,f876,f899,f904,f911,f921,f923,f928,f949,f955,f962,f967,f969,f980,f985,f1014,f1020,f1030,f1037,f1056,f1068,f1105,f1136,f1150,f1168,f1170,f1175,f1177,f1191,f1192,f1218,f1267,f1279,f1334,f1338,f1340,f1366,f1400,f1443,f1444,f1445,f1467,f1469,f1471,f1495,f1520,f1530,f1536,f1537,f1585,f1619,f1641,f1646,f1647,f1688,f1696,f1712,f1713,f1751,f1766,f1782,f1784,f1806,f1818,f2023,f2026,f2044,f2048,f2049,f2100,f2101,f2105,f2119,f2198,f2203]) ).

fof(f2203,plain,
    ( spl0_82
    | ~ spl0_69
    | ~ spl0_27
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f2184,f625,f309,f500,f563]) ).

fof(f563,plain,
    ( spl0_82
  <=> c0_1(a1872) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f500,plain,
    ( spl0_69
  <=> c2_1(a1872) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f309,plain,
    ( spl0_27
  <=> c3_1(a1872) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f625,plain,
    ( spl0_93
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f2184,plain,
    ( ~ c2_1(a1872)
    | c0_1(a1872)
    | ~ spl0_27
    | ~ spl0_93 ),
    inference(resolution,[],[f626,f311]) ).

fof(f311,plain,
    ( c3_1(a1872)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f309]) ).

fof(f626,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f2198,plain,
    ( spl0_177
    | ~ spl0_121
    | ~ spl0_93
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f2191,f647,f625,f768,f1643]) ).

fof(f1643,plain,
    ( spl0_177
  <=> c0_1(a1856) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f768,plain,
    ( spl0_121
  <=> c2_1(a1856) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f647,plain,
    ( spl0_98
  <=> c3_1(a1856) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f2191,plain,
    ( ~ c2_1(a1856)
    | c0_1(a1856)
    | ~ spl0_93
    | ~ spl0_98 ),
    inference(resolution,[],[f626,f649]) ).

fof(f649,plain,
    ( c3_1(a1856)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f2119,plain,
    ( ~ spl0_135
    | spl0_141
    | ~ spl0_30
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f2118,f1667,f321,f896,f861]) ).

fof(f861,plain,
    ( spl0_135
  <=> c1_1(a1862) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f896,plain,
    ( spl0_141
  <=> c2_1(a1862) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f321,plain,
    ( spl0_30
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1667,plain,
    ( spl0_178
  <=> c3_1(a1862) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f2118,plain,
    ( c2_1(a1862)
    | ~ c1_1(a1862)
    | ~ spl0_30
    | ~ spl0_178 ),
    inference(resolution,[],[f1669,f322]) ).

fof(f322,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f1669,plain,
    ( c3_1(a1862)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f1667]) ).

fof(f2105,plain,
    ( ~ spl0_142
    | spl0_104
    | ~ spl0_88
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f2086,f1034,f597,f679,f901]) ).

fof(f901,plain,
    ( spl0_142
  <=> c0_1(a1864) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f679,plain,
    ( spl0_104
  <=> c1_1(a1864) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f597,plain,
    ( spl0_88
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1034,plain,
    ( spl0_159
  <=> c2_1(a1864) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f2086,plain,
    ( c1_1(a1864)
    | ~ c0_1(a1864)
    | ~ spl0_88
    | ~ spl0_159 ),
    inference(resolution,[],[f598,f1036]) ).

fof(f1036,plain,
    ( c2_1(a1864)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1034]) ).

fof(f598,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f2101,plain,
    ( spl0_168
    | ~ spl0_57
    | ~ spl0_85
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2076,f597,f580,f439,f1215]) ).

fof(f1215,plain,
    ( spl0_168
  <=> c1_1(a1877) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f439,plain,
    ( spl0_57
  <=> c0_1(a1877) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f580,plain,
    ( spl0_85
  <=> c2_1(a1877) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f2076,plain,
    ( ~ c0_1(a1877)
    | c1_1(a1877)
    | ~ spl0_85
    | ~ spl0_88 ),
    inference(resolution,[],[f598,f582]) ).

fof(f582,plain,
    ( c2_1(a1877)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f2100,plain,
    ( ~ spl0_1
    | spl0_18
    | ~ spl0_88
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f2079,f1276,f597,f271,f198]) ).

fof(f198,plain,
    ( spl0_1
  <=> c0_1(a1911) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f271,plain,
    ( spl0_18
  <=> c1_1(a1911) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1276,plain,
    ( spl0_170
  <=> c2_1(a1911) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f2079,plain,
    ( c1_1(a1911)
    | ~ c0_1(a1911)
    | ~ spl0_88
    | ~ spl0_170 ),
    inference(resolution,[],[f598,f1278]) ).

fof(f1278,plain,
    ( c2_1(a1911)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1276]) ).

fof(f2049,plain,
    ( spl0_92
    | spl0_167
    | ~ spl0_46
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f2035,f423,f389,f1172,f616]) ).

fof(f616,plain,
    ( spl0_92
  <=> c3_1(a1870) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1172,plain,
    ( spl0_167
  <=> c2_1(a1870) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f389,plain,
    ( spl0_46
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f423,plain,
    ( spl0_54
  <=> c1_1(a1870) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f2035,plain,
    ( c2_1(a1870)
    | c3_1(a1870)
    | ~ spl0_46
    | ~ spl0_54 ),
    inference(resolution,[],[f390,f425]) ).

fof(f425,plain,
    ( c1_1(a1870)
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f423]) ).

fof(f390,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f2048,plain,
    ( spl0_64
    | spl0_136
    | ~ spl0_46
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2043,f1139,f389,f867,f476]) ).

fof(f476,plain,
    ( spl0_64
  <=> c2_1(a1865) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f867,plain,
    ( spl0_136
  <=> c3_1(a1865) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1139,plain,
    ( spl0_165
  <=> c1_1(a1865) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f2043,plain,
    ( c3_1(a1865)
    | c2_1(a1865)
    | ~ spl0_46
    | ~ spl0_165 ),
    inference(resolution,[],[f390,f1141]) ).

fof(f1141,plain,
    ( c1_1(a1865)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1139]) ).

fof(f2044,plain,
    ( spl0_178
    | spl0_141
    | ~ spl0_46
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2038,f861,f389,f896,f1667]) ).

fof(f2038,plain,
    ( c2_1(a1862)
    | c3_1(a1862)
    | ~ spl0_46
    | ~ spl0_135 ),
    inference(resolution,[],[f390,f863]) ).

fof(f863,plain,
    ( c1_1(a1862)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f861]) ).

fof(f2026,plain,
    ( ~ spl0_65
    | spl0_12
    | ~ spl0_84
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f2010,f652,f574,f244,f481]) ).

fof(f481,plain,
    ( spl0_65
  <=> c0_1(a1875) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f244,plain,
    ( spl0_12
  <=> c3_1(a1875) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f574,plain,
    ( spl0_84
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f652,plain,
    ( spl0_99
  <=> c1_1(a1875) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f2010,plain,
    ( c3_1(a1875)
    | ~ c0_1(a1875)
    | ~ spl0_84
    | ~ spl0_99 ),
    inference(resolution,[],[f575,f654]) ).

fof(f654,plain,
    ( c1_1(a1875)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f575,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f574]) ).

fof(f2023,plain,
    ( ~ spl0_58
    | spl0_178
    | ~ spl0_84
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2015,f861,f574,f1667,f446]) ).

fof(f446,plain,
    ( spl0_58
  <=> c0_1(a1862) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f2015,plain,
    ( c3_1(a1862)
    | ~ c0_1(a1862)
    | ~ spl0_84
    | ~ spl0_135 ),
    inference(resolution,[],[f575,f863]) ).

fof(f1818,plain,
    ( spl0_120
    | spl0_122
    | ~ spl0_35
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1816,f1363,f341,f774,f763]) ).

fof(f763,plain,
    ( spl0_120
  <=> c3_1(a1857) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f774,plain,
    ( spl0_122
  <=> c0_1(a1857) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f341,plain,
    ( spl0_35
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1363,plain,
    ( spl0_174
  <=> c1_1(a1857) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f1816,plain,
    ( c0_1(a1857)
    | c3_1(a1857)
    | ~ spl0_35
    | ~ spl0_174 ),
    inference(resolution,[],[f1365,f342]) ).

fof(f342,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f1365,plain,
    ( c1_1(a1857)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1363]) ).

fof(f1806,plain,
    ( ~ spl0_90
    | spl0_166
    | ~ spl0_15
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1792,f726,f258,f1147,f606]) ).

fof(f606,plain,
    ( spl0_90
  <=> c0_1(a1858) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1147,plain,
    ( spl0_166
  <=> c2_1(a1858) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f258,plain,
    ( spl0_15
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f726,plain,
    ( spl0_113
  <=> c3_1(a1858) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1792,plain,
    ( c2_1(a1858)
    | ~ c0_1(a1858)
    | ~ spl0_15
    | ~ spl0_113 ),
    inference(resolution,[],[f259,f728]) ).

fof(f728,plain,
    ( c3_1(a1858)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f259,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f1784,plain,
    ( spl0_154
    | spl0_12
    | ~ spl0_50
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1772,f481,f404,f244,f982]) ).

fof(f982,plain,
    ( spl0_154
  <=> c2_1(a1875) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f404,plain,
    ( spl0_50
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1772,plain,
    ( c3_1(a1875)
    | c2_1(a1875)
    | ~ spl0_50
    | ~ spl0_65 ),
    inference(resolution,[],[f405,f483]) ).

fof(f483,plain,
    ( c0_1(a1875)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f405,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f1782,plain,
    ( spl0_150
    | spl0_126
    | ~ spl0_50
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1771,f731,f404,f797,f952]) ).

fof(f952,plain,
    ( spl0_150
  <=> c2_1(a1899) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f797,plain,
    ( spl0_126
  <=> c3_1(a1899) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f731,plain,
    ( spl0_114
  <=> c0_1(a1899) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1771,plain,
    ( c3_1(a1899)
    | c2_1(a1899)
    | ~ spl0_50
    | ~ spl0_114 ),
    inference(resolution,[],[f405,f733]) ).

fof(f733,plain,
    ( c0_1(a1899)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f1766,plain,
    ( spl0_128
    | spl0_134
    | ~ spl0_28
    | spl0_173 ),
    inference(avatar_split_clause,[],[f1763,f1348,f314,f854,f807]) ).

fof(f807,plain,
    ( spl0_128
  <=> c2_1(a1855) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f854,plain,
    ( spl0_134
  <=> c1_1(a1855) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f314,plain,
    ( spl0_28
  <=> ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1348,plain,
    ( spl0_173
  <=> c3_1(a1855) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f1763,plain,
    ( c1_1(a1855)
    | c2_1(a1855)
    | ~ spl0_28
    | spl0_173 ),
    inference(resolution,[],[f315,f1349]) ).

fof(f1349,plain,
    ( ~ c3_1(a1855)
    | spl0_173 ),
    inference(avatar_component_clause,[],[f1348]) ).

fof(f315,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f1751,plain,
    ( ~ spl0_57
    | spl0_168
    | ~ spl0_47
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1738,f791,f392,f1215,f439]) ).

fof(f392,plain,
    ( spl0_47
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f791,plain,
    ( spl0_125
  <=> c3_1(a1877) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1738,plain,
    ( c1_1(a1877)
    | ~ c0_1(a1877)
    | ~ spl0_47
    | ~ spl0_125 ),
    inference(resolution,[],[f393,f793]) ).

fof(f793,plain,
    ( c3_1(a1877)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f393,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f1713,plain,
    ( spl0_89
    | spl0_73
    | ~ spl0_9
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1709,f838,f232,f517,f601]) ).

fof(f601,plain,
    ( spl0_89
  <=> c2_1(a1861) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f517,plain,
    ( spl0_73
  <=> c1_1(a1861) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f232,plain,
    ( spl0_9
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f838,plain,
    ( spl0_132
  <=> c0_1(a1861) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1709,plain,
    ( c1_1(a1861)
    | c2_1(a1861)
    | ~ spl0_9
    | ~ spl0_132 ),
    inference(resolution,[],[f233,f840]) ).

fof(f840,plain,
    ( c0_1(a1861)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f233,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f1712,plain,
    ( spl0_76
    | spl0_169
    | ~ spl0_9
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1706,f925,f232,f1270,f531]) ).

fof(f531,plain,
    ( spl0_76
  <=> c2_1(a1868) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1270,plain,
    ( spl0_169
  <=> c1_1(a1868) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f925,plain,
    ( spl0_146
  <=> c0_1(a1868) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f1706,plain,
    ( c1_1(a1868)
    | c2_1(a1868)
    | ~ spl0_9
    | ~ spl0_146 ),
    inference(resolution,[],[f233,f927]) ).

fof(f927,plain,
    ( c0_1(a1868)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f1696,plain,
    ( spl0_12
    | spl0_154
    | ~ spl0_46
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1694,f652,f389,f982,f244]) ).

fof(f1694,plain,
    ( c2_1(a1875)
    | c3_1(a1875)
    | ~ spl0_46
    | ~ spl0_99 ),
    inference(resolution,[],[f654,f390]) ).

fof(f1688,plain,
    ( spl0_120
    | spl0_122
    | ~ spl0_41
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1660,f751,f366,f774,f763]) ).

fof(f366,plain,
    ( spl0_41
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f751,plain,
    ( spl0_118
  <=> c2_1(a1857) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1660,plain,
    ( c0_1(a1857)
    | c3_1(a1857)
    | ~ spl0_41
    | ~ spl0_118 ),
    inference(resolution,[],[f367,f753]) ).

fof(f753,plain,
    ( c2_1(a1857)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f367,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f1647,plain,
    ( spl0_166
    | ~ spl0_152
    | ~ spl0_30
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1588,f726,f321,f964,f1147]) ).

fof(f964,plain,
    ( spl0_152
  <=> c1_1(a1858) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1588,plain,
    ( ~ c1_1(a1858)
    | c2_1(a1858)
    | ~ spl0_30
    | ~ spl0_113 ),
    inference(resolution,[],[f322,f728]) ).

fof(f1646,plain,
    ( ~ spl0_177
    | ~ spl0_121
    | ~ spl0_38
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1637,f647,f352,f768,f1643]) ).

fof(f352,plain,
    ( spl0_38
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1637,plain,
    ( ~ c2_1(a1856)
    | ~ c0_1(a1856)
    | ~ spl0_38
    | ~ spl0_98 ),
    inference(resolution,[],[f353,f649]) ).

fof(f353,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f1641,plain,
    ( ~ spl0_90
    | ~ spl0_166
    | ~ spl0_38
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1631,f726,f352,f1147,f606]) ).

fof(f1631,plain,
    ( ~ c2_1(a1858)
    | ~ c0_1(a1858)
    | ~ spl0_38
    | ~ spl0_113 ),
    inference(resolution,[],[f353,f728]) ).

fof(f1619,plain,
    ( ~ spl0_121
    | spl0_151
    | ~ spl0_34
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1611,f647,f338,f959,f768]) ).

fof(f959,plain,
    ( spl0_151
  <=> c1_1(a1856) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f338,plain,
    ( spl0_34
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1611,plain,
    ( c1_1(a1856)
    | ~ c2_1(a1856)
    | ~ spl0_34
    | ~ spl0_98 ),
    inference(resolution,[],[f339,f649]) ).

fof(f339,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f1585,plain,
    ( ~ spl0_146
    | spl0_76
    | ~ spl0_10
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1584,f1270,f236,f531,f925]) ).

fof(f236,plain,
    ( spl0_10
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1584,plain,
    ( c2_1(a1868)
    | ~ c0_1(a1868)
    | ~ spl0_10
    | ~ spl0_169 ),
    inference(resolution,[],[f1272,f237]) ).

fof(f237,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f1272,plain,
    ( c1_1(a1868)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1270]) ).

fof(f1537,plain,
    ( spl0_32
    | spl0_165
    | ~ spl0_29
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1359,f867,f317,f1139,f329]) ).

fof(f329,plain,
    ( spl0_32
  <=> c0_1(a1865) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f317,plain,
    ( spl0_29
  <=> ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1359,plain,
    ( c1_1(a1865)
    | c0_1(a1865)
    | ~ spl0_29
    | spl0_136 ),
    inference(resolution,[],[f318,f869]) ).

fof(f869,plain,
    ( ~ c3_1(a1865)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f867]) ).

fof(f318,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f1536,plain,
    ( spl0_111
    | spl0_134
    | ~ spl0_29
    | spl0_173 ),
    inference(avatar_split_clause,[],[f1503,f1348,f317,f854,f716]) ).

fof(f716,plain,
    ( spl0_111
  <=> c0_1(a1855) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1503,plain,
    ( c1_1(a1855)
    | c0_1(a1855)
    | ~ spl0_29
    | spl0_173 ),
    inference(resolution,[],[f1349,f318]) ).

fof(f1530,plain,
    ( spl0_104
    | spl0_159
    | ~ spl0_79
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1484,f872,f549,f1034,f679]) ).

fof(f549,plain,
    ( spl0_79
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f872,plain,
    ( spl0_137
  <=> c3_1(a1864) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1484,plain,
    ( c2_1(a1864)
    | c1_1(a1864)
    | ~ spl0_79
    | ~ spl0_137 ),
    inference(resolution,[],[f550,f874]) ).

fof(f874,plain,
    ( c3_1(a1864)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f872]) ).

fof(f550,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f1520,plain,
    ( spl0_52
    | spl0_110
    | ~ spl0_79
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1479,f846,f549,f708,f412]) ).

fof(f412,plain,
    ( spl0_52
  <=> c2_1(a1919) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f708,plain,
    ( spl0_110
  <=> c1_1(a1919) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f846,plain,
    ( spl0_133
  <=> c3_1(a1919) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1479,plain,
    ( c1_1(a1919)
    | c2_1(a1919)
    | ~ spl0_79
    | ~ spl0_133 ),
    inference(resolution,[],[f550,f848]) ).

fof(f848,plain,
    ( c3_1(a1919)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f846]) ).

fof(f1495,plain,
    ( spl0_128
    | spl0_134
    | ~ spl0_79
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1489,f1348,f549,f854,f807]) ).

fof(f1489,plain,
    ( c1_1(a1855)
    | c2_1(a1855)
    | ~ spl0_79
    | ~ spl0_173 ),
    inference(resolution,[],[f550,f1350]) ).

fof(f1350,plain,
    ( c3_1(a1855)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1348]) ).

fof(f1471,plain,
    ( ~ spl0_162
    | ~ spl0_45
    | ~ spl0_42
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1463,f544,f370,f384,f1108]) ).

fof(f1108,plain,
    ( spl0_162
  <=> c2_1(a1853) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f384,plain,
    ( spl0_45
  <=> c1_1(a1853) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f370,plain,
    ( spl0_42
  <=> c3_1(a1853) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f544,plain,
    ( spl0_78
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1463,plain,
    ( ~ c1_1(a1853)
    | ~ c2_1(a1853)
    | ~ spl0_42
    | ~ spl0_78 ),
    inference(resolution,[],[f545,f372]) ).

fof(f372,plain,
    ( c3_1(a1853)
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f545,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f1469,plain,
    ( ~ spl0_85
    | ~ spl0_168
    | ~ spl0_78
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1454,f791,f544,f1215,f580]) ).

fof(f1454,plain,
    ( ~ c1_1(a1877)
    | ~ c2_1(a1877)
    | ~ spl0_78
    | ~ spl0_125 ),
    inference(resolution,[],[f545,f793]) ).

fof(f1467,plain,
    ( ~ spl0_166
    | ~ spl0_152
    | ~ spl0_78
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1455,f726,f544,f964,f1147]) ).

fof(f1455,plain,
    ( ~ c1_1(a1858)
    | ~ c2_1(a1858)
    | ~ spl0_78
    | ~ spl0_113 ),
    inference(resolution,[],[f545,f728]) ).

fof(f1445,plain,
    ( ~ spl0_100
    | spl0_55
    | ~ spl0_71
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1430,f611,f508,f428,f657]) ).

fof(f657,plain,
    ( spl0_100
  <=> c1_1(a1960) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f428,plain,
    ( spl0_55
  <=> c0_1(a1960) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f508,plain,
    ( spl0_71
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f611,plain,
    ( spl0_91
  <=> c2_1(a1960) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1430,plain,
    ( c0_1(a1960)
    | ~ c1_1(a1960)
    | ~ spl0_71
    | ~ spl0_91 ),
    inference(resolution,[],[f509,f613]) ).

fof(f613,plain,
    ( c2_1(a1960)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f611]) ).

fof(f509,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f1444,plain,
    ( spl0_122
    | ~ spl0_174
    | ~ spl0_71
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1438,f751,f508,f1363,f774]) ).

fof(f1438,plain,
    ( ~ c1_1(a1857)
    | c0_1(a1857)
    | ~ spl0_71
    | ~ spl0_118 ),
    inference(resolution,[],[f509,f753]) ).

fof(f1443,plain,
    ( spl0_87
    | ~ spl0_54
    | ~ spl0_71
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1435,f1172,f508,f423,f592]) ).

fof(f592,plain,
    ( spl0_87
  <=> c0_1(a1870) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1435,plain,
    ( ~ c1_1(a1870)
    | c0_1(a1870)
    | ~ spl0_71
    | ~ spl0_167 ),
    inference(resolution,[],[f509,f1174]) ).

fof(f1174,plain,
    ( c2_1(a1870)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1172]) ).

fof(f1400,plain,
    ( ~ spl0_90
    | ~ spl0_152
    | ~ spl0_60
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1389,f726,f456,f964,f606]) ).

fof(f456,plain,
    ( spl0_60
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1389,plain,
    ( ~ c1_1(a1858)
    | ~ c0_1(a1858)
    | ~ spl0_60
    | ~ spl0_113 ),
    inference(resolution,[],[f457,f728]) ).

fof(f457,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f1366,plain,
    ( spl0_174
    | spl0_122
    | ~ spl0_29
    | spl0_120 ),
    inference(avatar_split_clause,[],[f1358,f763,f317,f774,f1363]) ).

fof(f1358,plain,
    ( c0_1(a1857)
    | c1_1(a1857)
    | ~ spl0_29
    | spl0_120 ),
    inference(resolution,[],[f318,f765]) ).

fof(f765,plain,
    ( ~ c3_1(a1857)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f763]) ).

fof(f1340,plain,
    ( ~ spl0_57
    | ~ spl0_168
    | ~ spl0_70
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1313,f580,f505,f1215,f439]) ).

fof(f505,plain,
    ( spl0_70
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1313,plain,
    ( ~ c1_1(a1877)
    | ~ c0_1(a1877)
    | ~ spl0_70
    | ~ spl0_85 ),
    inference(resolution,[],[f506,f582]) ).

fof(f506,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f1338,plain,
    ( ~ spl0_99
    | ~ spl0_65
    | ~ spl0_70
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1319,f982,f505,f481,f652]) ).

fof(f1319,plain,
    ( ~ c0_1(a1875)
    | ~ c1_1(a1875)
    | ~ spl0_70
    | ~ spl0_154 ),
    inference(resolution,[],[f506,f984]) ).

fof(f984,plain,
    ( c2_1(a1875)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f982]) ).

fof(f1334,plain,
    ( ~ spl0_81
    | ~ spl0_63
    | ~ spl0_70
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1311,f918,f505,f471,f558]) ).

fof(f558,plain,
    ( spl0_81
  <=> c0_1(a1885) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f471,plain,
    ( spl0_63
  <=> c1_1(a1885) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f918,plain,
    ( spl0_145
  <=> c2_1(a1885) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1311,plain,
    ( ~ c1_1(a1885)
    | ~ c0_1(a1885)
    | ~ spl0_70
    | ~ spl0_145 ),
    inference(resolution,[],[f506,f920]) ).

fof(f920,plain,
    ( c2_1(a1885)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f1279,plain,
    ( spl0_18
    | spl0_170
    | ~ spl0_28
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1274,f586,f314,f1276,f271]) ).

fof(f586,plain,
    ( spl0_86
  <=> c3_1(a1911) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1274,plain,
    ( c2_1(a1911)
    | c1_1(a1911)
    | ~ spl0_28
    | spl0_86 ),
    inference(resolution,[],[f588,f315]) ).

fof(f588,plain,
    ( ~ c3_1(a1911)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f1267,plain,
    ( ~ spl0_142
    | spl0_104
    | ~ spl0_47
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1259,f872,f392,f679,f901]) ).

fof(f1259,plain,
    ( c1_1(a1864)
    | ~ c0_1(a1864)
    | ~ spl0_47
    | ~ spl0_137 ),
    inference(resolution,[],[f393,f874]) ).

fof(f1218,plain,
    ( spl0_168
    | ~ spl0_85
    | ~ spl0_34
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1202,f791,f338,f580,f1215]) ).

fof(f1202,plain,
    ( ~ c2_1(a1877)
    | c1_1(a1877)
    | ~ spl0_34
    | ~ spl0_125 ),
    inference(resolution,[],[f339,f793]) ).

fof(f1192,plain,
    ( ~ spl0_57
    | ~ spl0_85
    | ~ spl0_38
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1180,f791,f352,f580,f439]) ).

fof(f1180,plain,
    ( ~ c2_1(a1877)
    | ~ c0_1(a1877)
    | ~ spl0_38
    | ~ spl0_125 ),
    inference(resolution,[],[f353,f793]) ).

fof(f1191,plain,
    ( ~ spl0_142
    | ~ spl0_159
    | ~ spl0_38
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1187,f872,f352,f1034,f901]) ).

fof(f1187,plain,
    ( ~ c2_1(a1864)
    | ~ c0_1(a1864)
    | ~ spl0_38
    | ~ spl0_137 ),
    inference(resolution,[],[f353,f874]) ).

fof(f1177,plain,
    ( spl0_149
    | spl0_162
    | ~ spl0_37
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1163,f384,f349,f1108,f946]) ).

fof(f946,plain,
    ( spl0_149
  <=> c0_1(a1853) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f349,plain,
    ( spl0_37
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1163,plain,
    ( c2_1(a1853)
    | c0_1(a1853)
    | ~ spl0_37
    | ~ spl0_45 ),
    inference(resolution,[],[f350,f386]) ).

fof(f386,plain,
    ( c1_1(a1853)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f350,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f1175,plain,
    ( spl0_167
    | spl0_87
    | ~ spl0_37
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1159,f423,f349,f592,f1172]) ).

fof(f1159,plain,
    ( c0_1(a1870)
    | c2_1(a1870)
    | ~ spl0_37
    | ~ spl0_54 ),
    inference(resolution,[],[f350,f425]) ).

fof(f1170,plain,
    ( spl0_75
    | spl0_17
    | ~ spl0_37
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1162,f569,f349,f266,f526]) ).

fof(f526,plain,
    ( spl0_75
  <=> c0_1(a1860) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f266,plain,
    ( spl0_17
  <=> c2_1(a1860) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f569,plain,
    ( spl0_83
  <=> c1_1(a1860) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1162,plain,
    ( c2_1(a1860)
    | c0_1(a1860)
    | ~ spl0_37
    | ~ spl0_83 ),
    inference(resolution,[],[f350,f571]) ).

fof(f571,plain,
    ( c1_1(a1860)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f1168,plain,
    ( spl0_153
    | spl0_124
    | ~ spl0_37
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f1164,f379,f349,f785,f977]) ).

fof(f977,plain,
    ( spl0_153
  <=> c0_1(a1852) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f785,plain,
    ( spl0_124
  <=> c2_1(a1852) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f379,plain,
    ( spl0_44
  <=> c1_1(a1852) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1164,plain,
    ( c2_1(a1852)
    | c0_1(a1852)
    | ~ spl0_37
    | ~ spl0_44 ),
    inference(resolution,[],[f350,f381]) ).

fof(f381,plain,
    ( c1_1(a1852)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f1150,plain,
    ( ~ spl0_90
    | spl0_166
    | ~ spl0_10
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1145,f964,f236,f1147,f606]) ).

fof(f1145,plain,
    ( c2_1(a1858)
    | ~ c0_1(a1858)
    | ~ spl0_10
    | ~ spl0_152 ),
    inference(resolution,[],[f966,f237]) ).

fof(f966,plain,
    ( c1_1(a1858)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f964]) ).

fof(f1136,plain,
    ( spl0_92
    | spl0_87
    | ~ spl0_35
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1119,f423,f341,f592,f616]) ).

fof(f1119,plain,
    ( c0_1(a1870)
    | c3_1(a1870)
    | ~ spl0_35
    | ~ spl0_54 ),
    inference(resolution,[],[f342,f425]) ).

fof(f1105,plain,
    ( spl0_124
    | ~ spl0_44
    | ~ spl0_30
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1102,f495,f321,f379,f785]) ).

fof(f495,plain,
    ( spl0_68
  <=> c3_1(a1852) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1102,plain,
    ( ~ c1_1(a1852)
    | c2_1(a1852)
    | ~ spl0_30
    | ~ spl0_68 ),
    inference(resolution,[],[f322,f497]) ).

fof(f497,plain,
    ( c3_1(a1852)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f1068,plain,
    ( spl0_134
    | spl0_111
    | ~ spl0_21
    | spl0_128 ),
    inference(avatar_split_clause,[],[f1067,f807,f284,f716,f854]) ).

fof(f284,plain,
    ( spl0_21
  <=> ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f1067,plain,
    ( c0_1(a1855)
    | c1_1(a1855)
    | ~ spl0_21
    | spl0_128 ),
    inference(resolution,[],[f285,f809]) ).

fof(f809,plain,
    ( ~ c2_1(a1855)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f285,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f1056,plain,
    ( spl0_21
    | ~ spl0_23
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f1049,f314,f293,f284]) ).

fof(f293,plain,
    ( spl0_23
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1049,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_23
    | ~ spl0_28 ),
    inference(duplicate_literal_removal,[],[f1043]) ).

fof(f1043,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_23
    | ~ spl0_28 ),
    inference(resolution,[],[f315,f294]) ).

fof(f294,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f1037,plain,
    ( spl0_104
    | spl0_159
    | ~ spl0_9
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1032,f901,f232,f1034,f679]) ).

fof(f1032,plain,
    ( c2_1(a1864)
    | c1_1(a1864)
    | ~ spl0_9
    | ~ spl0_142 ),
    inference(resolution,[],[f903,f233]) ).

fof(f903,plain,
    ( c0_1(a1864)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f1030,plain,
    ( ~ spl0_58
    | spl0_141
    | ~ spl0_10
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1029,f861,f236,f896,f446]) ).

fof(f1029,plain,
    ( c2_1(a1862)
    | ~ c0_1(a1862)
    | ~ spl0_10
    | ~ spl0_135 ),
    inference(resolution,[],[f863,f237]) ).

fof(f1020,plain,
    ( spl0_155
    | spl0_110
    | ~ spl0_23
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1015,f846,f293,f708,f992]) ).

fof(f992,plain,
    ( spl0_155
  <=> c0_1(a1919) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1015,plain,
    ( c1_1(a1919)
    | c0_1(a1919)
    | ~ spl0_23
    | ~ spl0_133 ),
    inference(resolution,[],[f294,f848]) ).

fof(f1014,plain,
    ( spl0_110
    | spl0_52
    | ~ spl0_9
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1013,f992,f232,f412,f708]) ).

fof(f1013,plain,
    ( c2_1(a1919)
    | c1_1(a1919)
    | ~ spl0_9
    | ~ spl0_155 ),
    inference(resolution,[],[f993,f233]) ).

fof(f993,plain,
    ( c0_1(a1919)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f992]) ).

fof(f985,plain,
    ( spl0_154
    | ~ spl0_65
    | ~ spl0_10
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f971,f652,f236,f481,f982]) ).

fof(f971,plain,
    ( ~ c0_1(a1875)
    | c2_1(a1875)
    | ~ spl0_10
    | ~ spl0_99 ),
    inference(resolution,[],[f237,f654]) ).

fof(f980,plain,
    ( ~ spl0_153
    | spl0_124
    | ~ spl0_10
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f975,f379,f236,f785,f977]) ).

fof(f975,plain,
    ( c2_1(a1852)
    | ~ c0_1(a1852)
    | ~ spl0_10
    | ~ spl0_44 ),
    inference(resolution,[],[f237,f381]) ).

fof(f969,plain,
    ( ~ spl0_36
    | spl0_6 ),
    inference(avatar_split_clause,[],[f22,f220,f345]) ).

fof(f345,plain,
    ( spl0_36
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f220,plain,
    ( spl0_6
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f22,axiom,
    ( ndr1_0
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).

fof(f967,plain,
    ( spl0_152
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f51,f224,f964]) ).

fof(f224,plain,
    ( spl0_7
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f51,axiom,
    ( ~ hskp26
    | c1_1(a1858) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f962,plain,
    ( ~ spl0_24
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f124,f959,f296]) ).

fof(f296,plain,
    ( spl0_24
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f124,axiom,
    ( ~ c1_1(a1856)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f955,plain,
    ( ~ spl0_14
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f91,f952,f254]) ).

fof(f254,plain,
    ( spl0_14
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f91,axiom,
    ( ~ c2_1(a1899)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f949,plain,
    ( ~ spl0_43
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f129,f946,f374]) ).

fof(f374,plain,
    ( spl0_43
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f129,axiom,
    ( ~ c0_1(a1853)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f928,plain,
    ( spl0_146
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f67,f300,f925]) ).

fof(f300,plain,
    ( spl0_25
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f67,axiom,
    ( ~ hskp14
    | c0_1(a1868) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f923,plain,
    ( spl0_43
    | spl0_16
    | spl0_11 ),
    inference(avatar_split_clause,[],[f36,f240,f262,f374]) ).

fof(f262,plain,
    ( spl0_16
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f240,plain,
    ( spl0_11
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f36,axiom,
    ( hskp18
    | hskp6
    | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f921,plain,
    ( spl0_145
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f43,f451,f918]) ).

fof(f451,plain,
    ( spl0_59
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f43,axiom,
    ( ~ hskp29
    | c2_1(a1885) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f911,plain,
    ( spl0_3
    | ~ spl0_6
    | spl0_78
    | spl0_10 ),
    inference(avatar_split_clause,[],[f186,f236,f544,f220,f207]) ).

fof(f207,plain,
    ( spl0_3
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f186,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X1)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | hskp10
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f904,plain,
    ( ~ spl0_3
    | spl0_142 ),
    inference(avatar_split_clause,[],[f70,f901,f207]) ).

fof(f70,axiom,
    ( c0_1(a1864)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f899,plain,
    ( ~ spl0_141
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f117,f345,f896]) ).

fof(f117,axiom,
    ( ~ hskp8
    | ~ c2_1(a1862) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f876,plain,
    ( ~ spl0_6
    | spl0_7
    | spl0_19
    | spl0_70 ),
    inference(avatar_split_clause,[],[f158,f505,f276,f224,f220]) ).

fof(f276,plain,
    ( spl0_19
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f158,axiom,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c0_1(X0)
      | hskp3
      | hskp26
      | ~ c2_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f875,plain,
    ( ~ spl0_3
    | spl0_137 ),
    inference(avatar_split_clause,[],[f71,f872,f207]) ).

fof(f71,axiom,
    ( c3_1(a1864)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f870,plain,
    ( ~ spl0_33
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f113,f867,f333]) ).

fof(f333,plain,
    ( spl0_33
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f113,axiom,
    ( ~ c3_1(a1865)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f864,plain,
    ( spl0_135
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f74,f345,f861]) ).

fof(f74,axiom,
    ( ~ hskp8
    | c1_1(a1862) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f859,plain,
    ( spl0_93
    | ~ spl0_6
    | spl0_30
    | spl0_47 ),
    inference(avatar_split_clause,[],[f194,f392,f321,f220,f625]) ).

fof(f194,axiom,
    ! [X2,X0,X1] :
      ( c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).

fof(f858,plain,
    ( ~ spl0_6
    | spl0_51
    | spl0_50
    | spl0_38 ),
    inference(avatar_split_clause,[],[f183,f352,f404,f408,f220]) ).

fof(f408,plain,
    ( spl0_51
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f183,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ c2_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | hskp24
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f857,plain,
    ( ~ spl0_19
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f126,f854,f276]) ).

fof(f126,axiom,
    ( ~ c1_1(a1855)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f852,plain,
    ( spl0_4
    | ~ spl0_6
    | spl0_70
    | spl0_51 ),
    inference(avatar_split_clause,[],[f159,f408,f505,f220,f211]) ).

fof(f211,plain,
    ( spl0_4
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f159,axiom,
    ! [X0] :
      ( hskp24
      | ~ c0_1(X0)
      | ~ ndr1_0
      | hskp0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f851,plain,
    ( spl0_3
    | spl0_51
    | spl0_36 ),
    inference(avatar_split_clause,[],[f33,f345,f408,f207]) ).

fof(f33,axiom,
    ( hskp8
    | hskp24
    | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

fof(f850,plain,
    ( spl0_56
    | ~ spl0_6
    | spl0_21
    | spl0_24 ),
    inference(avatar_split_clause,[],[f132,f296,f284,f220,f434]) ).

fof(f434,plain,
    ( spl0_56
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f132,axiom,
    ! [X0] :
      ( hskp4
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f849,plain,
    ( spl0_133
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f55,f408,f846]) ).

fof(f55,axiom,
    ( ~ hskp24
    | c3_1(a1919) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f841,plain,
    ( ~ spl0_74
    | spl0_132 ),
    inference(avatar_split_clause,[],[f75,f838,f521]) ).

fof(f521,plain,
    ( spl0_74
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f75,axiom,
    ( c0_1(a1861)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f832,plain,
    ( spl0_11
    | spl0_36
    | ~ spl0_6
    | spl0_88 ),
    inference(avatar_split_clause,[],[f152,f597,f220,f345,f240]) ).

fof(f152,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | hskp8
      | c1_1(X0)
      | hskp18
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f826,plain,
    ( ~ spl0_6
    | spl0_71
    | spl0_36
    | spl0_79 ),
    inference(avatar_split_clause,[],[f174,f549,f345,f508,f220]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | hskp8
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f820,plain,
    ( ~ spl0_6
    | spl0_8
    | spl0_84
    | spl0_93 ),
    inference(avatar_split_clause,[],[f180,f625,f574,f228,f220]) ).

fof(f228,plain,
    ( spl0_8
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f180,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | hskp27
      | ~ c0_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f814,plain,
    ( spl0_6
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f20,f207,f220]) ).

fof(f20,axiom,
    ( ~ hskp10
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).

fof(f813,plain,
    ( spl0_16
    | spl0_13
    | spl0_56 ),
    inference(avatar_split_clause,[],[f38,f434,f249,f262]) ).

fof(f249,plain,
    ( spl0_13
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f38,axiom,
    ( hskp5
    | hskp25
    | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f812,plain,
    ( spl0_16
    | ~ spl0_6
    | spl0_70
    | spl0_29 ),
    inference(avatar_split_clause,[],[f169,f317,f505,f220,f262]) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( c3_1(X1)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c0_1(X1)
      | hskp6
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f810,plain,
    ( ~ spl0_19
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f127,f807,f276]) ).

fof(f127,axiom,
    ( ~ c2_1(a1855)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f800,plain,
    ( ~ spl0_14
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f92,f797,f254]) ).

fof(f92,axiom,
    ( ~ c3_1(a1899)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f794,plain,
    ( spl0_125
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f49,f228,f791]) ).

fof(f49,axiom,
    ( ~ hskp27
    | c3_1(a1877) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f788,plain,
    ( ~ spl0_4
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f130,f785,f211]) ).

fof(f130,axiom,
    ( ~ c2_1(a1852)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f778,plain,
    ( spl0_47
    | spl0_2
    | ~ spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f153,f224,f220,f202,f392]) ).

fof(f202,plain,
    ( spl0_2
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f153,axiom,
    ! [X0] :
      ( hskp26
      | ~ ndr1_0
      | hskp23
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

fof(f777,plain,
    ( ~ spl0_122
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f122,f434,f774]) ).

fof(f122,axiom,
    ( ~ hskp5
    | ~ c0_1(a1857) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f771,plain,
    ( spl0_121
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f78,f296,f768]) ).

fof(f78,axiom,
    ( ~ hskp4
    | c2_1(a1856) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f766,plain,
    ( ~ spl0_56
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f123,f763,f434]) ).

fof(f123,axiom,
    ( ~ c3_1(a1857)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f754,plain,
    ( ~ spl0_56
    | spl0_118 ),
    inference(avatar_split_clause,[],[f77,f751,f434]) ).

fof(f77,axiom,
    ( c2_1(a1857)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f734,plain,
    ( ~ spl0_14
    | spl0_114 ),
    inference(avatar_split_clause,[],[f57,f731,f254]) ).

fof(f57,axiom,
    ( c0_1(a1899)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f729,plain,
    ( ~ spl0_7
    | spl0_113 ),
    inference(avatar_split_clause,[],[f52,f726,f224]) ).

fof(f52,axiom,
    ( c3_1(a1858)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f719,plain,
    ( ~ spl0_111
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f125,f276,f716]) ).

fof(f125,axiom,
    ( ~ hskp3
    | ~ c0_1(a1855) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f713,plain,
    ( spl0_26
    | ~ spl0_6
    | spl0_38
    | spl0_30 ),
    inference(avatar_split_clause,[],[f187,f321,f352,f220,f305]) ).

fof(f305,plain,
    ( spl0_26
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f187,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp16
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

fof(f711,plain,
    ( ~ spl0_110
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f87,f408,f708]) ).

fof(f87,axiom,
    ( ~ hskp24
    | ~ c1_1(a1919) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f683,plain,
    ( ~ spl0_6
    | spl0_34
    | spl0_46
    | spl0_93 ),
    inference(avatar_split_clause,[],[f192,f625,f389,f338,f220]) ).

fof(f192,axiom,
    ! [X2,X0,X1] :
      ( ~ c3_1(X2)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | c1_1(X1)
      | c0_1(X2)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).

fof(f682,plain,
    ( ~ spl0_104
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f114,f207,f679]) ).

fof(f114,axiom,
    ( ~ hskp10
    | ~ c1_1(a1864) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f660,plain,
    ( spl0_100
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f53,f249,f657]) ).

fof(f53,axiom,
    ( ~ hskp25
    | c1_1(a1960) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f655,plain,
    ( spl0_99
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f61,f240,f652]) ).

fof(f61,axiom,
    ( ~ hskp18
    | c1_1(a1875) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f650,plain,
    ( ~ spl0_24
    | spl0_98 ),
    inference(avatar_split_clause,[],[f79,f647,f296]) ).

fof(f79,axiom,
    ( c3_1(a1856)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f622,plain,
    ( spl0_3
    | spl0_11
    | spl0_53 ),
    inference(avatar_split_clause,[],[f34,f419,f240,f207]) ).

fof(f419,plain,
    ( spl0_53
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f34,axiom,
    ( hskp15
    | hskp18
    | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f619,plain,
    ( ~ spl0_92
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f104,f419,f616]) ).

fof(f104,axiom,
    ( ~ hskp15
    | ~ c3_1(a1870) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f614,plain,
    ( ~ spl0_13
    | spl0_91 ),
    inference(avatar_split_clause,[],[f54,f611,f249]) ).

fof(f54,axiom,
    ( c2_1(a1960)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f609,plain,
    ( spl0_90
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f50,f224,f606]) ).

fof(f50,axiom,
    ( ~ hskp26
    | c0_1(a1858) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f604,plain,
    ( ~ spl0_89
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f119,f521,f601]) ).

fof(f119,axiom,
    ( ~ hskp7
    | ~ c2_1(a1861) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f595,plain,
    ( ~ spl0_87
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f103,f419,f592]) ).

fof(f103,axiom,
    ( ~ hskp15
    | ~ c0_1(a1870) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f589,plain,
    ( ~ spl0_2
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f90,f586,f202]) ).

fof(f90,axiom,
    ( ~ c3_1(a1911)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f583,plain,
    ( spl0_85
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f48,f228,f580]) ).

fof(f48,axiom,
    ( ~ hskp27
    | c2_1(a1877) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f578,plain,
    ( ~ spl0_6
    | spl0_11
    | spl0_34
    | spl0_10 ),
    inference(avatar_split_clause,[],[f182,f236,f338,f240,f220]) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | c1_1(X1)
      | ~ c0_1(X0)
      | hskp18
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f577,plain,
    ( ~ spl0_6
    | spl0_50
    | spl0_30
    | spl0_60 ),
    inference(avatar_split_clause,[],[f196,f456,f321,f404,f220]) ).

fof(f196,axiom,
    ! [X2,X0,X1] :
      ( ~ c3_1(X0)
      | ~ c1_1(X1)
      | c3_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X2)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X2)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).

fof(f576,plain,
    ( spl0_46
    | ~ spl0_6
    | spl0_84
    | spl0_10 ),
    inference(avatar_split_clause,[],[f193,f236,f574,f220,f389]) ).

fof(f193,axiom,
    ! [X2,X0,X1] :
      ( ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | c3_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X2)
      | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).

fof(f572,plain,
    ( spl0_83
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f76,f262,f569]) ).

fof(f76,axiom,
    ( ~ hskp6
    | c1_1(a1860) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f567,plain,
    ( spl0_59
    | spl0_35
    | spl0_7
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f144,f220,f224,f341,f451]) ).

fof(f144,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp26
      | c0_1(X0)
      | ~ c1_1(X0)
      | hskp29
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f566,plain,
    ( ~ spl0_26
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f102,f563,f305]) ).

fof(f102,axiom,
    ( ~ c0_1(a1872)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f561,plain,
    ( ~ spl0_59
    | spl0_81 ),
    inference(avatar_split_clause,[],[f41,f558,f451]) ).

fof(f41,axiom,
    ( c0_1(a1885)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f546,plain,
    ( spl0_74
    | ~ spl0_6
    | spl0_29
    | spl0_78 ),
    inference(avatar_split_clause,[],[f170,f544,f317,f220,f521]) ).

fof(f170,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | c3_1(X1)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c1_1(X1)
      | ~ c3_1(X0)
      | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f534,plain,
    ( ~ spl0_76
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f105,f300,f531]) ).

fof(f105,axiom,
    ( ~ hskp14
    | ~ c2_1(a1868) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f529,plain,
    ( ~ spl0_16
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f120,f526,f262]) ).

fof(f120,axiom,
    ( ~ c0_1(a1860)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f524,plain,
    ( ~ spl0_73
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f118,f521,f517]) ).

fof(f118,axiom,
    ( ~ hskp7
    | ~ c1_1(a1861) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f503,plain,
    ( spl0_69
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f64,f305,f500]) ).

fof(f64,axiom,
    ( ~ hskp16
    | c2_1(a1872) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f498,plain,
    ( ~ spl0_4
    | spl0_68 ),
    inference(avatar_split_clause,[],[f85,f495,f211]) ).

fof(f85,axiom,
    ( c3_1(a1852)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f484,plain,
    ( ~ spl0_11
    | spl0_65 ),
    inference(avatar_split_clause,[],[f60,f481,f240]) ).

fof(f60,axiom,
    ( c0_1(a1875)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f479,plain,
    ( ~ spl0_33
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f112,f476,f333]) ).

fof(f112,axiom,
    ( ~ c2_1(a1865)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f474,plain,
    ( ~ spl0_59
    | spl0_63 ),
    inference(avatar_split_clause,[],[f42,f471,f451]) ).

fof(f42,axiom,
    ( c1_1(a1885)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f449,plain,
    ( ~ spl0_36
    | spl0_58 ),
    inference(avatar_split_clause,[],[f73,f446,f345]) ).

fof(f73,axiom,
    ( c0_1(a1862)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f444,plain,
    ( spl0_6
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f6,f408,f220]) ).

fof(f6,axiom,
    ( ~ hskp24
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).

fof(f442,plain,
    ( spl0_57
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f47,f228,f439]) ).

fof(f47,axiom,
    ( ~ hskp27
    | c0_1(a1877) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f431,plain,
    ( ~ spl0_55
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f86,f249,f428]) ).

fof(f86,axiom,
    ( ~ hskp25
    | ~ c0_1(a1960) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f426,plain,
    ( ~ spl0_53
    | spl0_54 ),
    inference(avatar_split_clause,[],[f66,f423,f419]) ).

fof(f66,axiom,
    ( c1_1(a1870)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f415,plain,
    ( ~ spl0_51
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f88,f412,f408]) ).

fof(f88,axiom,
    ( ~ c2_1(a1919)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f387,plain,
    ( spl0_45
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f82,f374,f384]) ).

fof(f82,axiom,
    ( ~ hskp1
    | c1_1(a1853) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f382,plain,
    ( spl0_44
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f84,f211,f379]) ).

fof(f84,axiom,
    ( ~ hskp0
    | c1_1(a1852) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f377,plain,
    ( spl0_42
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f83,f374,f370]) ).

fof(f83,axiom,
    ( ~ hskp1
    | c3_1(a1853) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f368,plain,
    ( spl0_8
    | spl0_41
    | ~ spl0_6
    | spl0_9 ),
    inference(avatar_split_clause,[],[f167,f232,f220,f366,f228]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( c1_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c2_1(X0)
      | ~ c2_1(X1)
      | hskp27
      | ~ c0_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f354,plain,
    ( ~ spl0_6
    | spl0_36
    | spl0_37
    | spl0_38 ),
    inference(avatar_split_clause,[],[f178,f352,f349,f345,f220]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c0_1(X1)
      | hskp8
      | ~ ndr1_0
      | c2_1(X1)
      | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f343,plain,
    ( spl0_33
    | spl0_34
    | spl0_35
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f172,f220,f341,f338,f333]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | hskp11
      | ~ c3_1(X0)
      | c3_1(X1)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f336,plain,
    ( ~ spl0_32
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f111,f333,f329]) ).

fof(f111,axiom,
    ( ~ hskp11
    | ~ c0_1(a1865) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f319,plain,
    ( spl0_28
    | ~ spl0_6
    | spl0_29
    | spl0_7 ),
    inference(avatar_split_clause,[],[f161,f224,f317,f220,f314]) ).

fof(f161,axiom,
    ! [X0,X1] :
      ( hskp26
      | c3_1(X1)
      | ~ ndr1_0
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | c1_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f312,plain,
    ( ~ spl0_26
    | spl0_27 ),
    inference(avatar_split_clause,[],[f65,f309,f305]) ).

fof(f65,axiom,
    ( c3_1(a1872)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f303,plain,
    ( ~ spl0_6
    | spl0_23
    | spl0_24
    | spl0_25 ),
    inference(avatar_split_clause,[],[f140,f300,f296,f293,f220]) ).

fof(f140,axiom,
    ! [X0] :
      ( hskp14
      | hskp4
      | ~ c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f274,plain,
    ( ~ spl0_18
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f89,f202,f271]) ).

fof(f89,axiom,
    ( ~ hskp23
    | ~ c1_1(a1911) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f269,plain,
    ( ~ spl0_16
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f121,f266,f262]) ).

fof(f121,axiom,
    ( ~ c2_1(a1860)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f260,plain,
    ( spl0_8
    | ~ spl0_6
    | spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f156,f258,f254,f220,f228]) ).

fof(f156,axiom,
    ! [X0] :
      ( c2_1(X0)
      | hskp22
      | ~ ndr1_0
      | hskp27
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f247,plain,
    ( ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f100,f244,f240]) ).

fof(f100,axiom,
    ( ~ c3_1(a1875)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f238,plain,
    ( ~ spl0_6
    | spl0_3
    | spl0_7
    | spl0_10 ),
    inference(avatar_split_clause,[],[f155,f236,f224,f207,f220]) ).

fof(f155,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | hskp26
      | ~ c1_1(X0)
      | hskp10
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f234,plain,
    ( ~ spl0_6
    | spl0_7
    | spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f145,f232,f228,f224,f220]) ).

fof(f145,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | hskp27
      | hskp26
      | c1_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f205,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f56,f202,f198]) ).

fof(f56,axiom,
    ( ~ hskp23
    | c0_1(a1911) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYN483-1 : TPTP v8.1.0. Released v2.1.0.
% 0.06/0.13  % 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 : n008.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 22:03:25 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (1709)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)
% 0.19/0.50  % (1710)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  % (1731)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  % (1719)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)
% 0.19/0.51  Detected maximum model sizes of [30]
% 0.19/0.51  % (1722)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)
% 0.19/0.51  % (1717)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  % (1714)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  % (1727)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.52  TRYING [1]
% 0.19/0.52  TRYING [2]
% 0.19/0.52  % (1729)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  % (1713)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)
% 0.19/0.52  % (1706)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  % (1705)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)
% 0.19/0.52  % (1730)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52  % (1721)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  % (1734)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  % (1728)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  % (1704)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)
% 0.19/0.53  % (1733)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)
% 0.19/0.53  TRYING [3]
% 0.19/0.53  % (1707)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)
% 0.19/0.53  % (1725)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)
% 0.19/0.53  TRYING [4]
% 0.19/0.53  % (1735)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)
% 0.19/0.53  % (1711)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53  Detected maximum model sizes of [30]
% 0.19/0.53  % (1726)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)
% 0.19/0.54  % (1712)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54  % (1716)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  TRYING [1]
% 0.19/0.54  % (1715)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)
% 0.19/0.54  % (1724)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  TRYING [2]
% 0.19/0.54  % (1708)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (1723)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54  % (1732)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)
% 0.19/0.54  % (1712)Instruction limit reached!
% 0.19/0.54  % (1712)------------------------------
% 0.19/0.54  % (1712)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  TRYING [3]
% 0.19/0.54  % (1712)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (1712)Termination reason: Unknown
% 0.19/0.54  % (1712)Termination phase: shuffling
% 0.19/0.54  
% 0.19/0.54  % (1712)Memory used [KB]: 1023
% 0.19/0.54  % (1711)Instruction limit reached!
% 0.19/0.54  % (1711)------------------------------
% 0.19/0.54  % (1711)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (1711)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (1711)Termination reason: Unknown
% 0.19/0.54  % (1711)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (1711)Memory used [KB]: 6012
% 0.19/0.54  % (1711)Time elapsed: 0.111 s
% 0.19/0.54  % (1711)Instructions burned: 7 (million)
% 0.19/0.54  % (1711)------------------------------
% 0.19/0.54  % (1711)------------------------------
% 0.19/0.54  % (1712)Time elapsed: 0.003 s
% 0.19/0.54  % (1712)Instructions burned: 2 (million)
% 0.19/0.54  % (1712)------------------------------
% 0.19/0.54  % (1712)------------------------------
% 0.19/0.55  TRYING [4]
% 0.19/0.55  Detected maximum model sizes of [30]
% 0.19/0.56  TRYING [1]
% 0.19/0.56  TRYING [2]
% 0.19/0.56  TRYING [3]
% 0.19/0.57  % (1715)First to succeed.
% 0.19/0.57  TRYING [4]
% 0.19/0.57  TRYING [5]
% 0.19/0.57  TRYING [5]
% 0.19/0.57  % (1710)Instruction limit reached!
% 0.19/0.57  % (1710)------------------------------
% 0.19/0.57  % (1710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (1710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (1710)Termination reason: Unknown
% 0.19/0.57  % (1710)Termination phase: Finite model building constraint generation
% 0.19/0.57  
% 0.19/0.57  % (1710)Memory used [KB]: 6140
% 0.19/0.57  % (1710)Time elapsed: 0.150 s
% 0.19/0.57  % (1710)Instructions burned: 52 (million)
% 0.19/0.57  % (1710)------------------------------
% 0.19/0.57  % (1710)------------------------------
% 0.19/0.58  % (1706)Instruction limit reached!
% 0.19/0.58  % (1706)------------------------------
% 0.19/0.58  % (1706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (1706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (1706)Termination reason: Unknown
% 0.19/0.58  % (1706)Termination phase: Saturation
% 0.19/0.58  
% 0.19/0.58  % (1706)Memory used [KB]: 1279
% 0.19/0.58  % (1706)Time elapsed: 0.149 s
% 0.19/0.58  % (1706)Instructions burned: 39 (million)
% 0.19/0.58  % (1706)------------------------------
% 0.19/0.58  % (1706)------------------------------
% 0.19/0.59  % (1715)Refutation found. Thanks to Tanya!
% 0.19/0.59  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.59  % (1715)------------------------------
% 0.19/0.59  % (1715)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59  % (1715)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59  % (1715)Termination reason: Refutation
% 0.19/0.59  
% 0.19/0.59  % (1715)Memory used [KB]: 6652
% 0.19/0.59  % (1715)Time elapsed: 0.165 s
% 0.19/0.59  % (1715)Instructions burned: 32 (million)
% 0.19/0.59  % (1715)------------------------------
% 0.19/0.59  % (1715)------------------------------
% 0.19/0.59  % (1703)Success in time 0.241 s
%------------------------------------------------------------------------------