TSTP Solution File: SYN478-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN478-1 : 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 : n023.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 19:38:21 EDT 2022

% Result   : Unsatisfiable 1.45s 0.63s
% Output   : Refutation 1.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  227
% Syntax   : Number of formulae    :  511 (   1 unt;   0 def)
%            Number of atoms       : 1579 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 1810 ( 742   ~; 942   |;   0   &)
%                                         ( 126 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  155 ( 154 usr; 151 prp; 0-1 aty)
%            Number of functors    :   22 (  22 usr;  22 con; 0-0 aty)
%            Number of variables   :  104 ( 104   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2171,plain,
    $false,
    inference(avatar_sat_refutation,[],[f225,f240,f254,f310,f329,f338,f352,f378,f387,f391,f414,f419,f428,f437,f442,f457,f462,f474,f490,f499,f504,f508,f528,f529,f533,f553,f558,f559,f581,f586,f587,f588,f592,f598,f605,f610,f621,f631,f636,f642,f647,f651,f660,f661,f666,f671,f676,f682,f687,f692,f706,f712,f717,f719,f720,f725,f730,f741,f742,f744,f754,f771,f783,f784,f785,f790,f817,f823,f824,f841,f847,f852,f859,f869,f870,f872,f878,f883,f888,f893,f899,f900,f901,f908,f918,f919,f924,f930,f936,f942,f943,f949,f950,f952,f963,f973,f978,f984,f985,f986,f991,f1002,f1003,f1016,f1020,f1030,f1062,f1074,f1098,f1107,f1110,f1121,f1138,f1144,f1179,f1193,f1194,f1206,f1213,f1250,f1251,f1254,f1255,f1280,f1281,f1297,f1328,f1429,f1440,f1450,f1484,f1496,f1583,f1593,f1595,f1623,f1627,f1628,f1630,f1675,f1713,f1772,f1774,f1784,f1785,f1789,f1821,f1904,f1937,f1967,f1993,f1994,f2056,f2061,f2077,f2081,f2092,f2093,f2170]) ).

fof(f2170,plain,
    ( spl0_13
    | ~ spl0_104
    | ~ spl0_62
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f2162,f988,f472,f673,f251]) ).

fof(f251,plain,
    ( spl0_13
  <=> c0_1(a1334) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f673,plain,
    ( spl0_104
  <=> c3_1(a1334) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f472,plain,
    ( spl0_62
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f988,plain,
    ( spl0_156
  <=> c2_1(a1334) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f2162,plain,
    ( ~ c3_1(a1334)
    | c0_1(a1334)
    | ~ spl0_62
    | ~ spl0_156 ),
    inference(resolution,[],[f473,f990]) ).

fof(f990,plain,
    ( c2_1(a1334)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f988]) ).

fof(f473,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f2093,plain,
    ( spl0_185
    | spl0_113
    | ~ spl0_87
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2004,f590,f583,f727,f1797]) ).

fof(f1797,plain,
    ( spl0_185
  <=> c2_1(a1356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f727,plain,
    ( spl0_113
  <=> c3_1(a1356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f583,plain,
    ( spl0_87
  <=> c1_1(a1356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f590,plain,
    ( spl0_88
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f2004,plain,
    ( c3_1(a1356)
    | c2_1(a1356)
    | ~ spl0_87
    | ~ spl0_88 ),
    inference(resolution,[],[f591,f585]) ).

fof(f585,plain,
    ( c1_1(a1356)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f591,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f2092,plain,
    ( spl0_48
    | spl0_122
    | ~ spl0_88
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2091,f999,f590,f780,f407]) ).

fof(f407,plain,
    ( spl0_48
  <=> c3_1(a1316) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f780,plain,
    ( spl0_122
  <=> c2_1(a1316) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f999,plain,
    ( spl0_157
  <=> c1_1(a1316) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f2091,plain,
    ( c2_1(a1316)
    | c3_1(a1316)
    | ~ spl0_88
    | ~ spl0_157 ),
    inference(resolution,[],[f1001,f591]) ).

fof(f1001,plain,
    ( c1_1(a1316)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f999]) ).

fof(f2081,plain,
    ( spl0_136
    | spl0_170
    | ~ spl0_101
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f2069,f981,f658,f1135,f866]) ).

fof(f866,plain,
    ( spl0_136
  <=> c0_1(a1348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1135,plain,
    ( spl0_170
  <=> c3_1(a1348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f658,plain,
    ( spl0_101
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c2_1(X2)
        | c3_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f981,plain,
    ( spl0_155
  <=> c2_1(a1348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f2069,plain,
    ( c3_1(a1348)
    | c0_1(a1348)
    | ~ spl0_101
    | ~ spl0_155 ),
    inference(resolution,[],[f659,f983]) ).

fof(f983,plain,
    ( c2_1(a1348)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f981]) ).

fof(f659,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f2077,plain,
    ( spl0_95
    | spl0_69
    | ~ spl0_93
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2072,f658,f618,f501,f628]) ).

fof(f628,plain,
    ( spl0_95
  <=> c3_1(a1319) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f501,plain,
    ( spl0_69
  <=> c0_1(a1319) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f618,plain,
    ( spl0_93
  <=> c2_1(a1319) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f2072,plain,
    ( c0_1(a1319)
    | c3_1(a1319)
    | ~ spl0_93
    | ~ spl0_101 ),
    inference(resolution,[],[f659,f620]) ).

fof(f620,plain,
    ( c2_1(a1319)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f2061,plain,
    ( spl0_107
    | spl0_138
    | ~ spl0_99
    | spl0_111 ),
    inference(avatar_split_clause,[],[f2050,f714,f649,f880,f689]) ).

fof(f689,plain,
    ( spl0_107
  <=> c1_1(a1326) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f880,plain,
    ( spl0_138
  <=> c3_1(a1326) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f649,plain,
    ( spl0_99
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f714,plain,
    ( spl0_111
  <=> c2_1(a1326) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f2050,plain,
    ( c3_1(a1326)
    | c1_1(a1326)
    | ~ spl0_99
    | spl0_111 ),
    inference(resolution,[],[f650,f716]) ).

fof(f716,plain,
    ( ~ c2_1(a1326)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f650,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f2056,plain,
    ( spl0_157
    | spl0_48
    | ~ spl0_99
    | spl0_122 ),
    inference(avatar_split_clause,[],[f2051,f780,f649,f407,f999]) ).

fof(f2051,plain,
    ( c3_1(a1316)
    | c1_1(a1316)
    | ~ spl0_99
    | spl0_122 ),
    inference(resolution,[],[f650,f782]) ).

fof(f782,plain,
    ( ~ c2_1(a1316)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f1994,plain,
    ( spl0_105
    | spl0_142
    | ~ spl0_84
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f1990,f1325,f573,f905,f679]) ).

fof(f679,plain,
    ( spl0_105
  <=> c2_1(a1306) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f905,plain,
    ( spl0_142
  <=> c0_1(a1306) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f573,plain,
    ( spl0_84
  <=> ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1325,plain,
    ( spl0_178
  <=> c3_1(a1306) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f1990,plain,
    ( c0_1(a1306)
    | c2_1(a1306)
    | ~ spl0_84
    | ~ spl0_178 ),
    inference(resolution,[],[f574,f1327]) ).

fof(f1327,plain,
    ( c3_1(a1306)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f1325]) ).

fof(f574,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2)
        | c2_1(X2) )
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f1993,plain,
    ( spl0_96
    | spl0_139
    | ~ spl0_67
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1975,f573,f492,f885,f633]) ).

fof(f633,plain,
    ( spl0_96
  <=> c0_1(a1352) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f885,plain,
    ( spl0_139
  <=> c2_1(a1352) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f492,plain,
    ( spl0_67
  <=> c3_1(a1352) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1975,plain,
    ( c2_1(a1352)
    | c0_1(a1352)
    | ~ spl0_67
    | ~ spl0_84 ),
    inference(resolution,[],[f574,f494]) ).

fof(f494,plain,
    ( c3_1(a1352)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f492]) ).

fof(f1967,plain,
    ( ~ spl0_133
    | spl0_136
    | ~ spl0_86
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1948,f1135,f579,f866,f844]) ).

fof(f844,plain,
    ( spl0_133
  <=> c1_1(a1348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f579,plain,
    ( spl0_86
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1948,plain,
    ( c0_1(a1348)
    | ~ c1_1(a1348)
    | ~ spl0_86
    | ~ spl0_170 ),
    inference(resolution,[],[f580,f1136]) ).

fof(f1136,plain,
    ( c3_1(a1348)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1135]) ).

fof(f580,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f579]) ).

fof(f1937,plain,
    ( spl0_55
    | ~ spl0_97
    | ~ spl0_35
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1929,f576,f349,f639,f439]) ).

fof(f439,plain,
    ( spl0_55
  <=> c1_1(a1324) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f639,plain,
    ( spl0_97
  <=> c0_1(a1324) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f349,plain,
    ( spl0_35
  <=> c3_1(a1324) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f576,plain,
    ( spl0_85
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1929,plain,
    ( ~ c0_1(a1324)
    | c1_1(a1324)
    | ~ spl0_35
    | ~ spl0_85 ),
    inference(resolution,[],[f577,f351]) ).

fof(f351,plain,
    ( c3_1(a1324)
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f577,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f1904,plain,
    ( spl0_122
    | spl0_128
    | ~ spl0_82
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1900,f999,f566,f814,f780]) ).

fof(f814,plain,
    ( spl0_128
  <=> c0_1(a1316) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f566,plain,
    ( spl0_82
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1900,plain,
    ( c0_1(a1316)
    | c2_1(a1316)
    | ~ spl0_82
    | ~ spl0_157 ),
    inference(resolution,[],[f567,f1001]) ).

fof(f567,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f1821,plain,
    ( spl0_113
    | ~ spl0_115
    | ~ spl0_60
    | ~ spl0_185 ),
    inference(avatar_split_clause,[],[f1819,f1797,f464,f738,f727]) ).

fof(f738,plain,
    ( spl0_115
  <=> c0_1(a1356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f464,plain,
    ( spl0_60
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1819,plain,
    ( ~ c0_1(a1356)
    | c3_1(a1356)
    | ~ spl0_60
    | ~ spl0_185 ),
    inference(resolution,[],[f1799,f465]) ).

fof(f465,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f1799,plain,
    ( c2_1(a1356)
    | ~ spl0_185 ),
    inference(avatar_component_clause,[],[f1797]) ).

fof(f1789,plain,
    ( ~ spl0_115
    | spl0_113
    | ~ spl0_14
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1787,f583,f256,f727,f738]) ).

fof(f256,plain,
    ( spl0_14
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f1787,plain,
    ( c3_1(a1356)
    | ~ c0_1(a1356)
    | ~ spl0_14
    | ~ spl0_87 ),
    inference(resolution,[],[f585,f257]) ).

fof(f257,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f1785,plain,
    ( ~ spl0_106
    | ~ spl0_164
    | ~ spl0_80
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1777,f569,f555,f1071,f684]) ).

fof(f684,plain,
    ( spl0_106
  <=> c3_1(a1328) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1071,plain,
    ( spl0_164
  <=> c1_1(a1328) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f555,plain,
    ( spl0_80
  <=> c2_1(a1328) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f569,plain,
    ( spl0_83
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1777,plain,
    ( ~ c1_1(a1328)
    | ~ c3_1(a1328)
    | ~ spl0_80
    | ~ spl0_83 ),
    inference(resolution,[],[f570,f557]) ).

fof(f557,plain,
    ( c2_1(a1328)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f570,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f1784,plain,
    ( ~ spl0_154
    | ~ spl0_6
    | ~ spl0_83
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1776,f703,f569,f222,f975]) ).

fof(f975,plain,
    ( spl0_154
  <=> c3_1(a1338) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f222,plain,
    ( spl0_6
  <=> c1_1(a1338) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f703,plain,
    ( spl0_109
  <=> c2_1(a1338) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1776,plain,
    ( ~ c1_1(a1338)
    | ~ c3_1(a1338)
    | ~ spl0_83
    | ~ spl0_109 ),
    inference(resolution,[],[f570,f705]) ).

fof(f705,plain,
    ( c2_1(a1338)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f703]) ).

fof(f1774,plain,
    ( spl0_74
    | spl0_168
    | ~ spl0_82
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1769,f890,f566,f1115,f525]) ).

fof(f525,plain,
    ( spl0_74
  <=> c0_1(a1325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1115,plain,
    ( spl0_168
  <=> c2_1(a1325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f890,plain,
    ( spl0_140
  <=> c1_1(a1325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f1769,plain,
    ( c2_1(a1325)
    | c0_1(a1325)
    | ~ spl0_82
    | ~ spl0_140 ),
    inference(resolution,[],[f567,f892]) ).

fof(f892,plain,
    ( c1_1(a1325)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f890]) ).

fof(f1772,plain,
    ( spl0_26
    | spl0_146
    | ~ spl0_82
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1766,f768,f566,f927,f307]) ).

fof(f307,plain,
    ( spl0_26
  <=> c0_1(a1339) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f927,plain,
    ( spl0_146
  <=> c2_1(a1339) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f768,plain,
    ( spl0_120
  <=> c1_1(a1339) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1766,plain,
    ( c2_1(a1339)
    | c0_1(a1339)
    | ~ spl0_82
    | ~ spl0_120 ),
    inference(resolution,[],[f567,f770]) ).

fof(f770,plain,
    ( c1_1(a1339)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f1713,plain,
    ( ~ spl0_134
    | ~ spl0_112
    | ~ spl0_37
    | ~ spl0_184 ),
    inference(avatar_split_clause,[],[f1691,f1672,f357,f722,f849]) ).

fof(f849,plain,
    ( spl0_134
  <=> c1_1(a1307) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f722,plain,
    ( spl0_112
  <=> c0_1(a1307) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f357,plain,
    ( spl0_37
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1672,plain,
    ( spl0_184
  <=> c3_1(a1307) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f1691,plain,
    ( ~ c0_1(a1307)
    | ~ c1_1(a1307)
    | ~ spl0_37
    | ~ spl0_184 ),
    inference(resolution,[],[f358,f1674]) ).

fof(f1674,plain,
    ( c3_1(a1307)
    | ~ spl0_184 ),
    inference(avatar_component_clause,[],[f1672]) ).

fof(f358,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f1675,plain,
    ( spl0_184
    | ~ spl0_112
    | ~ spl0_14
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1659,f849,f256,f722,f1672]) ).

fof(f1659,plain,
    ( ~ c0_1(a1307)
    | c3_1(a1307)
    | ~ spl0_14
    | ~ spl0_134 ),
    inference(resolution,[],[f257,f851]) ).

fof(f851,plain,
    ( c1_1(a1307)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f1630,plain,
    ( spl0_164
    | ~ spl0_106
    | ~ spl0_76
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1545,f555,f535,f684,f1071]) ).

fof(f535,plain,
    ( spl0_76
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1545,plain,
    ( ~ c3_1(a1328)
    | c1_1(a1328)
    | ~ spl0_76
    | ~ spl0_80 ),
    inference(resolution,[],[f557,f536]) ).

fof(f536,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f1628,plain,
    ( spl0_95
    | spl0_160
    | ~ spl0_9
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1615,f618,f235,f1027,f628]) ).

fof(f1027,plain,
    ( spl0_160
  <=> c1_1(a1319) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f235,plain,
    ( spl0_9
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1615,plain,
    ( c1_1(a1319)
    | c3_1(a1319)
    | ~ spl0_9
    | ~ spl0_93 ),
    inference(resolution,[],[f236,f620]) ).

fof(f236,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f1627,plain,
    ( spl0_98
    | spl0_176
    | ~ spl0_9
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1609,f856,f235,f1294,f644]) ).

fof(f644,plain,
    ( spl0_98
  <=> c3_1(a1394) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1294,plain,
    ( spl0_176
  <=> c1_1(a1394) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f856,plain,
    ( spl0_135
  <=> c2_1(a1394) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1609,plain,
    ( c1_1(a1394)
    | c3_1(a1394)
    | ~ spl0_9
    | ~ spl0_135 ),
    inference(resolution,[],[f236,f858]) ).

fof(f858,plain,
    ( c2_1(a1394)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f1623,plain,
    ( spl0_8
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f1622,f235,f202,f232]) ).

fof(f232,plain,
    ( spl0_8
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | c3_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f202,plain,
    ( spl0_1
  <=> ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1622,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(duplicate_literal_removal,[],[f1604]) ).

fof(f1604,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(resolution,[],[f236,f203]) ).

fof(f203,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f1595,plain,
    ( spl0_69
    | spl0_160
    | ~ spl0_10
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1523,f618,f238,f1027,f501]) ).

fof(f238,plain,
    ( spl0_10
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1523,plain,
    ( c1_1(a1319)
    | c0_1(a1319)
    | ~ spl0_10
    | ~ spl0_93 ),
    inference(resolution,[],[f620,f239]) ).

fof(f239,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f1593,plain,
    ( spl0_8
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f1339,f238,f202,f232]) ).

fof(f1339,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(duplicate_literal_removal,[],[f1329]) ).

fof(f1329,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c0_1(X0)
        | c0_1(X0) )
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(resolution,[],[f239,f203]) ).

fof(f1583,plain,
    ( spl0_146
    | ~ spl0_120
    | ~ spl0_15
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1563,f1247,f259,f768,f927]) ).

fof(f259,plain,
    ( spl0_15
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f1247,plain,
    ( spl0_173
  <=> c3_1(a1339) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f1563,plain,
    ( ~ c1_1(a1339)
    | c2_1(a1339)
    | ~ spl0_15
    | ~ spl0_173 ),
    inference(resolution,[],[f260,f1249]) ).

fof(f1249,plain,
    ( c3_1(a1339)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1247]) ).

fof(f260,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f1496,plain,
    ( spl0_107
    | spl0_111
    | ~ spl0_41
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1427,f1210,f376,f714,f689]) ).

fof(f376,plain,
    ( spl0_41
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1210,plain,
    ( spl0_172
  <=> c0_1(a1326) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f1427,plain,
    ( c2_1(a1326)
    | c1_1(a1326)
    | ~ spl0_41
    | ~ spl0_172 ),
    inference(resolution,[],[f377,f1212]) ).

fof(f1212,plain,
    ( c0_1(a1326)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1210]) ).

fof(f377,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f1484,plain,
    ( ~ spl0_153
    | spl0_98
    | ~ spl0_60
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1475,f856,f464,f644,f970]) ).

fof(f970,plain,
    ( spl0_153
  <=> c0_1(a1394) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1475,plain,
    ( c3_1(a1394)
    | ~ c0_1(a1394)
    | ~ spl0_60
    | ~ spl0_135 ),
    inference(resolution,[],[f465,f858]) ).

fof(f1450,plain,
    ( spl0_43
    | ~ spl0_159
    | ~ spl0_76
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1449,f751,f535,f1013,f384]) ).

fof(f384,plain,
    ( spl0_43
  <=> c1_1(a1320) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1013,plain,
    ( spl0_159
  <=> c3_1(a1320) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f751,plain,
    ( spl0_117
  <=> c2_1(a1320) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1449,plain,
    ( ~ c3_1(a1320)
    | c1_1(a1320)
    | ~ spl0_76
    | ~ spl0_117 ),
    inference(resolution,[],[f753,f536]) ).

fof(f753,plain,
    ( c2_1(a1320)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f1440,plain,
    ( spl0_110
    | spl0_32
    | ~ spl0_41
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f1417,f416,f376,f335,f709]) ).

fof(f709,plain,
    ( spl0_110
  <=> c1_1(a1330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f335,plain,
    ( spl0_32
  <=> c2_1(a1330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f416,plain,
    ( spl0_50
  <=> c0_1(a1330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1417,plain,
    ( c2_1(a1330)
    | c1_1(a1330)
    | ~ spl0_41
    | ~ spl0_50 ),
    inference(resolution,[],[f377,f418]) ).

fof(f418,plain,
    ( c0_1(a1330)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f1429,plain,
    ( spl0_144
    | spl0_132
    | ~ spl0_41
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1425,f1059,f376,f838,f915]) ).

fof(f915,plain,
    ( spl0_144
  <=> c1_1(a1308) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f838,plain,
    ( spl0_132
  <=> c2_1(a1308) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1059,plain,
    ( spl0_163
  <=> c0_1(a1308) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f1425,plain,
    ( c2_1(a1308)
    | c1_1(a1308)
    | ~ spl0_41
    | ~ spl0_163 ),
    inference(resolution,[],[f377,f1061]) ).

fof(f1061,plain,
    ( c0_1(a1308)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1059]) ).

fof(f1328,plain,
    ( spl0_178
    | spl0_142
    | ~ spl0_1
    | spl0_105 ),
    inference(avatar_split_clause,[],[f1323,f679,f202,f905,f1325]) ).

fof(f1323,plain,
    ( c0_1(a1306)
    | c3_1(a1306)
    | ~ spl0_1
    | spl0_105 ),
    inference(resolution,[],[f203,f681]) ).

fof(f681,plain,
    ( ~ c2_1(a1306)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f1297,plain,
    ( ~ spl0_153
    | ~ spl0_176
    | ~ spl0_65
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1291,f856,f485,f1294,f970]) ).

fof(f485,plain,
    ( spl0_65
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1291,plain,
    ( ~ c1_1(a1394)
    | ~ c0_1(a1394)
    | ~ spl0_65
    | ~ spl0_135 ),
    inference(resolution,[],[f858,f486]) ).

fof(f486,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f1281,plain,
    ( ~ spl0_6
    | ~ spl0_174
    | ~ spl0_65
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1273,f703,f485,f1277,f222]) ).

fof(f1277,plain,
    ( spl0_174
  <=> c0_1(a1338) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f1273,plain,
    ( ~ c0_1(a1338)
    | ~ c1_1(a1338)
    | ~ spl0_65
    | ~ spl0_109 ),
    inference(resolution,[],[f705,f486]) ).

fof(f1280,plain,
    ( ~ spl0_154
    | spl0_174
    | ~ spl0_62
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1275,f703,f472,f1277,f975]) ).

fof(f1275,plain,
    ( c0_1(a1338)
    | ~ c3_1(a1338)
    | ~ spl0_62
    | ~ spl0_109 ),
    inference(resolution,[],[f705,f473]) ).

fof(f1255,plain,
    ( spl0_170
    | spl0_136
    | ~ spl0_66
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1238,f844,f488,f866,f1135]) ).

fof(f488,plain,
    ( spl0_66
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1238,plain,
    ( c0_1(a1348)
    | c3_1(a1348)
    | ~ spl0_66
    | ~ spl0_133 ),
    inference(resolution,[],[f489,f846]) ).

fof(f846,plain,
    ( c1_1(a1348)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f489,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f1254,plain,
    ( spl0_48
    | spl0_128
    | ~ spl0_66
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1245,f999,f488,f814,f407]) ).

fof(f1245,plain,
    ( c0_1(a1316)
    | c3_1(a1316)
    | ~ spl0_66
    | ~ spl0_157 ),
    inference(resolution,[],[f489,f1001]) ).

fof(f1251,plain,
    ( spl0_95
    | spl0_69
    | ~ spl0_66
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1242,f1027,f488,f501,f628]) ).

fof(f1242,plain,
    ( c0_1(a1319)
    | c3_1(a1319)
    | ~ spl0_66
    | ~ spl0_160 ),
    inference(resolution,[],[f489,f1029]) ).

fof(f1029,plain,
    ( c1_1(a1319)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1027]) ).

fof(f1250,plain,
    ( spl0_26
    | spl0_173
    | ~ spl0_66
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1239,f768,f488,f1247,f307]) ).

fof(f1239,plain,
    ( c3_1(a1339)
    | c0_1(a1339)
    | ~ spl0_66
    | ~ spl0_120 ),
    inference(resolution,[],[f489,f770]) ).

fof(f1213,plain,
    ( spl0_172
    | spl0_107
    | ~ spl0_8
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1208,f880,f232,f689,f1210]) ).

fof(f1208,plain,
    ( c1_1(a1326)
    | c0_1(a1326)
    | ~ spl0_8
    | spl0_138 ),
    inference(resolution,[],[f882,f233]) ).

fof(f233,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f882,plain,
    ( ~ c3_1(a1326)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f1206,plain,
    ( ~ spl0_164
    | ~ spl0_89
    | ~ spl0_65
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1155,f555,f485,f595,f1071]) ).

fof(f595,plain,
    ( spl0_89
  <=> c0_1(a1328) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1155,plain,
    ( ~ c0_1(a1328)
    | ~ c1_1(a1328)
    | ~ spl0_65
    | ~ spl0_80 ),
    inference(resolution,[],[f486,f557]) ).

fof(f1194,plain,
    ( spl0_147
    | spl0_58
    | ~ spl0_59
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1188,f531,f459,f454,f933]) ).

fof(f933,plain,
    ( spl0_147
  <=> c0_1(a1315) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f454,plain,
    ( spl0_58
  <=> c1_1(a1315) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f459,plain,
    ( spl0_59
  <=> c3_1(a1315) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f531,plain,
    ( spl0_75
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1188,plain,
    ( c1_1(a1315)
    | c0_1(a1315)
    | ~ spl0_59
    | ~ spl0_75 ),
    inference(resolution,[],[f532,f461]) ).

fof(f461,plain,
    ( c3_1(a1315)
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f532,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f1193,plain,
    ( spl0_149
    | spl0_43
    | ~ spl0_75
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1187,f1013,f531,f384,f946]) ).

fof(f946,plain,
    ( spl0_149
  <=> c0_1(a1320) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1187,plain,
    ( c1_1(a1320)
    | c0_1(a1320)
    | ~ spl0_75
    | ~ spl0_159 ),
    inference(resolution,[],[f532,f1015]) ).

fof(f1015,plain,
    ( c3_1(a1320)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1013]) ).

fof(f1179,plain,
    ( ~ spl0_89
    | spl0_164
    | ~ spl0_70
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1168,f555,f506,f1071,f595]) ).

fof(f506,plain,
    ( spl0_70
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1168,plain,
    ( c1_1(a1328)
    | ~ c0_1(a1328)
    | ~ spl0_70
    | ~ spl0_80 ),
    inference(resolution,[],[f507,f557]) ).

fof(f507,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f1144,plain,
    ( spl0_74
    | ~ spl0_79
    | ~ spl0_62
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1143,f1115,f472,f550,f525]) ).

fof(f550,plain,
    ( spl0_79
  <=> c3_1(a1325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1143,plain,
    ( ~ c3_1(a1325)
    | c0_1(a1325)
    | ~ spl0_62
    | ~ spl0_168 ),
    inference(resolution,[],[f1117,f473]) ).

fof(f1117,plain,
    ( c2_1(a1325)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1115]) ).

fof(f1138,plain,
    ( spl0_136
    | ~ spl0_170
    | ~ spl0_62
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1133,f981,f472,f1135,f866]) ).

fof(f1133,plain,
    ( ~ c3_1(a1348)
    | c0_1(a1348)
    | ~ spl0_62
    | ~ spl0_155 ),
    inference(resolution,[],[f983,f473]) ).

fof(f1121,plain,
    ( spl0_30
    | ~ spl0_145
    | ~ spl0_15
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1120,f663,f259,f921,f326]) ).

fof(f326,plain,
    ( spl0_30
  <=> c2_1(a1309) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f921,plain,
    ( spl0_145
  <=> c1_1(a1309) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f663,plain,
    ( spl0_102
  <=> c3_1(a1309) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1120,plain,
    ( ~ c1_1(a1309)
    | c2_1(a1309)
    | ~ spl0_15
    | ~ spl0_102 ),
    inference(resolution,[],[f665,f260]) ).

fof(f665,plain,
    ( c3_1(a1309)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f1110,plain,
    ( spl0_149
    | spl0_43
    | ~ spl0_8
    | spl0_159 ),
    inference(avatar_split_clause,[],[f1109,f1013,f232,f384,f946]) ).

fof(f1109,plain,
    ( c1_1(a1320)
    | c0_1(a1320)
    | ~ spl0_8
    | spl0_159 ),
    inference(resolution,[],[f1014,f233]) ).

fof(f1014,plain,
    ( ~ c3_1(a1320)
    | spl0_159 ),
    inference(avatar_component_clause,[],[f1013]) ).

fof(f1107,plain,
    ( spl0_149
    | ~ spl0_159
    | ~ spl0_62
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1101,f751,f472,f1013,f946]) ).

fof(f1101,plain,
    ( ~ c3_1(a1320)
    | c0_1(a1320)
    | ~ spl0_62
    | ~ spl0_117 ),
    inference(resolution,[],[f473,f753]) ).

fof(f1098,plain,
    ( spl0_148
    | spl0_51
    | ~ spl0_44
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1076,f607,f389,f421,f939]) ).

fof(f939,plain,
    ( spl0_148
  <=> c2_1(a1411) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f421,plain,
    ( spl0_51
  <=> c3_1(a1411) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f389,plain,
    ( spl0_44
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f607,plain,
    ( spl0_91
  <=> c0_1(a1411) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1076,plain,
    ( c3_1(a1411)
    | c2_1(a1411)
    | ~ spl0_44
    | ~ spl0_91 ),
    inference(resolution,[],[f390,f609]) ).

fof(f609,plain,
    ( c0_1(a1411)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f390,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f1074,plain,
    ( ~ spl0_164
    | ~ spl0_89
    | ~ spl0_37
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1065,f684,f357,f595,f1071]) ).

fof(f1065,plain,
    ( ~ c0_1(a1328)
    | ~ c1_1(a1328)
    | ~ spl0_37
    | ~ spl0_106 ),
    inference(resolution,[],[f358,f686]) ).

fof(f686,plain,
    ( c3_1(a1328)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f1062,plain,
    ( spl0_163
    | spl0_144
    | ~ spl0_16
    | spl0_132 ),
    inference(avatar_split_clause,[],[f1056,f838,f262,f915,f1059]) ).

fof(f262,plain,
    ( spl0_16
  <=> ! [X2] :
        ( c1_1(X2)
        | c0_1(X2)
        | c2_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1056,plain,
    ( c1_1(a1308)
    | c0_1(a1308)
    | ~ spl0_16
    | spl0_132 ),
    inference(resolution,[],[f263,f840]) ).

fof(f840,plain,
    ( ~ c2_1(a1308)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f263,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f1030,plain,
    ( spl0_69
    | spl0_160
    | ~ spl0_8
    | spl0_95 ),
    inference(avatar_split_clause,[],[f1023,f628,f232,f1027,f501]) ).

fof(f1023,plain,
    ( c1_1(a1319)
    | c0_1(a1319)
    | ~ spl0_8
    | spl0_95 ),
    inference(resolution,[],[f233,f630]) ).

fof(f630,plain,
    ( ~ c3_1(a1319)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f1020,plain,
    ( spl0_43
    | spl0_149
    | ~ spl0_10
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1018,f751,f238,f946,f384]) ).

fof(f1018,plain,
    ( c0_1(a1320)
    | c1_1(a1320)
    | ~ spl0_10
    | ~ spl0_117 ),
    inference(resolution,[],[f239,f753]) ).

fof(f1016,plain,
    ( spl0_43
    | spl0_159
    | ~ spl0_9
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1005,f751,f235,f1013,f384]) ).

fof(f1005,plain,
    ( c3_1(a1320)
    | c1_1(a1320)
    | ~ spl0_9
    | ~ spl0_117 ),
    inference(resolution,[],[f236,f753]) ).

fof(f1003,plain,
    ( spl0_103
    | spl0_123
    | ~ spl0_8
    | spl0_54 ),
    inference(avatar_split_clause,[],[f996,f434,f232,f787,f668]) ).

fof(f668,plain,
    ( spl0_103
  <=> c1_1(a1359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f787,plain,
    ( spl0_123
  <=> c0_1(a1359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f434,plain,
    ( spl0_54
  <=> c3_1(a1359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f996,plain,
    ( c0_1(a1359)
    | c1_1(a1359)
    | ~ spl0_8
    | spl0_54 ),
    inference(resolution,[],[f233,f436]) ).

fof(f436,plain,
    ( ~ c3_1(a1359)
    | spl0_54 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f1002,plain,
    ( spl0_157
    | spl0_128
    | ~ spl0_8
    | spl0_48 ),
    inference(avatar_split_clause,[],[f997,f407,f232,f814,f999]) ).

fof(f997,plain,
    ( c0_1(a1316)
    | c1_1(a1316)
    | ~ spl0_8
    | spl0_48 ),
    inference(resolution,[],[f233,f409]) ).

fof(f409,plain,
    ( ~ c3_1(a1316)
    | spl0_48 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f991,plain,
    ( ~ spl0_7
    | spl0_156 ),
    inference(avatar_split_clause,[],[f71,f988,f227]) ).

fof(f227,plain,
    ( spl0_7
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f71,axiom,
    ( c2_1(a1334)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f986,plain,
    ( spl0_62
    | ~ spl0_2
    | spl0_70
    | spl0_101 ),
    inference(avatar_split_clause,[],[f198,f658,f506,f205,f472]) ).

fof(f205,plain,
    ( spl0_2
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f198,axiom,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).

fof(f985,plain,
    ( spl0_31
    | ~ spl0_2
    | spl0_14
    | spl0_61 ),
    inference(avatar_split_clause,[],[f161,f468,f256,f205,f331]) ).

fof(f331,plain,
    ( spl0_31
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f468,plain,
    ( spl0_61
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f161,axiom,
    ! [X0] :
      ( hskp8
      | ~ c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | hskp14
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f984,plain,
    ( ~ spl0_46
    | spl0_155 ),
    inference(avatar_split_clause,[],[f67,f981,f398]) ).

fof(f398,plain,
    ( spl0_46
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f67,axiom,
    ( c2_1(a1348)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f978,plain,
    ( ~ spl0_5
    | spl0_154 ),
    inference(avatar_split_clause,[],[f52,f975,f218]) ).

fof(f218,plain,
    ( spl0_5
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f52,axiom,
    ( c3_1(a1338)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f973,plain,
    ( ~ spl0_47
    | spl0_153 ),
    inference(avatar_split_clause,[],[f60,f970,f402]) ).

fof(f402,plain,
    ( spl0_47
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f60,axiom,
    ( c0_1(a1394)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f963,plain,
    ( spl0_31
    | spl0_47
    | spl0_45 ),
    inference(avatar_split_clause,[],[f37,f393,f402,f331]) ).

fof(f393,plain,
    ( spl0_45
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f37,axiom,
    ( hskp28
    | hskp25
    | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f952,plain,
    ( spl0_45
    | ~ spl0_2
    | spl0_66 ),
    inference(avatar_split_clause,[],[f143,f488,f205,f393]) ).

fof(f143,axiom,
    ! [X0] :
      ( c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | hskp28
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f950,plain,
    ( spl0_49
    | ~ spl0_2
    | spl0_61
    | spl0_41 ),
    inference(avatar_split_clause,[],[f148,f376,f468,f205,f411]) ).

fof(f411,plain,
    ( spl0_49
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f148,axiom,
    ! [X0] :
      ( c2_1(X0)
      | hskp8
      | ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f949,plain,
    ( ~ spl0_149
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f120,f380,f946]) ).

fof(f380,plain,
    ( spl0_42
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f120,axiom,
    ( ~ hskp9
    | ~ c0_1(a1320) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f943,plain,
    ( spl0_2
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f3,f280,f205]) ).

fof(f280,plain,
    ( spl0_20
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f3,axiom,
    ( ~ hskp30
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

fof(f942,plain,
    ( ~ spl0_52
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f93,f939,f425]) ).

fof(f425,plain,
    ( spl0_52
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f93,axiom,
    ( ~ c2_1(a1411)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f936,plain,
    ( ~ spl0_147
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f127,f213,f933]) ).

fof(f213,plain,
    ( spl0_4
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f127,axiom,
    ( ~ hskp6
    | ~ c0_1(a1315) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f930,plain,
    ( ~ spl0_25
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f107,f927,f303]) ).

fof(f303,plain,
    ( spl0_25
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f107,axiom,
    ( ~ c2_1(a1339)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f924,plain,
    ( spl0_145
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f90,f322,f921]) ).

fof(f322,plain,
    ( spl0_29
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f90,axiom,
    ( ~ hskp2
    | c1_1(a1309) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f919,plain,
    ( ~ spl0_2
    | spl0_31
    | spl0_28
    | spl0_88 ),
    inference(avatar_split_clause,[],[f154,f590,f317,f331,f205]) ).

fof(f317,plain,
    ( spl0_28
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f154,axiom,
    ! [X0] :
      ( c2_1(X0)
      | hskp13
      | ~ c1_1(X0)
      | c3_1(X0)
      | hskp14
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f918,plain,
    ( ~ spl0_57
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f135,f915,f449]) ).

fof(f449,plain,
    ( spl0_57
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f135,axiom,
    ( ~ c1_1(a1308)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f908,plain,
    ( ~ spl0_73
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f137,f905,f520]) ).

fof(f520,plain,
    ( spl0_73
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f137,axiom,
    ( ~ c0_1(a1306)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f901,plain,
    ( spl0_2
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f31,f322,f205]) ).

fof(f31,axiom,
    ( ~ hskp2
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).

fof(f900,plain,
    ( spl0_25
    | spl0_46 ),
    inference(avatar_split_clause,[],[f2,f398,f303]) ).

fof(f2,axiom,
    ( hskp20
    | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f899,plain,
    ( spl0_73
    | spl0_68
    | ~ spl0_2
    | spl0_70 ),
    inference(avatar_split_clause,[],[f158,f506,f205,f496,f520]) ).

fof(f496,plain,
    ( spl0_68
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f158,axiom,
    ! [X0] :
      ( c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | hskp21
      | hskp0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f893,plain,
    ( spl0_140
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f77,f481,f890]) ).

fof(f481,plain,
    ( spl0_64
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f77,axiom,
    ( ~ hskp12
    | c1_1(a1325) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f888,plain,
    ( ~ spl0_68
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f103,f885,f496]) ).

fof(f103,axiom,
    ( ~ c2_1(a1352)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f883,plain,
    ( ~ spl0_28
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f116,f880,f317]) ).

fof(f116,axiom,
    ( ~ c3_1(a1326)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f878,plain,
    ( spl0_42
    | ~ spl0_2
    | spl0_82
    | spl0_66 ),
    inference(avatar_split_clause,[],[f175,f488,f566,f205,f380]) ).

fof(f175,axiom,
    ! [X0,X1] :
      ( c0_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X1)
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f872,plain,
    ( ~ spl0_2
    | spl0_60
    | spl0_4
    | spl0_42 ),
    inference(avatar_split_clause,[],[f165,f380,f213,f464,f205]) ).

fof(f165,axiom,
    ! [X0] :
      ( hskp9
      | hskp6
      | ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f870,plain,
    ( spl0_34
    | ~ spl0_2
    | spl0_99
    | spl0_82 ),
    inference(avatar_split_clause,[],[f171,f566,f649,f205,f345]) ).

fof(f345,plain,
    ( spl0_34
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f171,axiom,
    ! [X0,X1] :
      ( c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | hskp11
      | c1_1(X1)
      | c2_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f869,plain,
    ( ~ spl0_136
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f104,f398,f866]) ).

fof(f104,axiom,
    ( ~ hskp20
    | ~ c0_1(a1348) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f859,plain,
    ( spl0_135
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f61,f402,f856]) ).

fof(f61,axiom,
    ( ~ hskp25
    | c2_1(a1394) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f852,plain,
    ( ~ spl0_63
    | spl0_134 ),
    inference(avatar_split_clause,[],[f57,f849,f476]) ).

fof(f476,plain,
    ( spl0_63
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f57,axiom,
    ( c1_1(a1307)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f847,plain,
    ( spl0_133
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f66,f398,f844]) ).

fof(f66,axiom,
    ( ~ hskp20
    | c1_1(a1348) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f841,plain,
    ( ~ spl0_132
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f136,f449,f838]) ).

fof(f136,axiom,
    ( ~ hskp1
    | ~ c2_1(a1308) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f824,plain,
    ( spl0_31
    | spl0_25
    | spl0_63 ),
    inference(avatar_split_clause,[],[f34,f476,f303,f331]) ).

fof(f34,axiom,
    ( hskp27
    | hskp18
    | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f823,plain,
    ( spl0_31
    | spl0_64
    | spl0_60
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f164,f205,f464,f481,f331]) ).

fof(f164,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | ~ c2_1(X0)
      | hskp12
      | ~ c0_1(X0)
      | hskp14
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f817,plain,
    ( ~ spl0_49
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f124,f814,f411]) ).

fof(f124,axiom,
    ( ~ c0_1(a1316)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f790,plain,
    ( ~ spl0_123
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f98,f430,f787]) ).

fof(f430,plain,
    ( spl0_53
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f98,axiom,
    ( ~ hskp23
    | ~ c0_1(a1359) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f785,plain,
    ( ~ spl0_2
    | spl0_34
    | spl0_37
    | spl0_60 ),
    inference(avatar_split_clause,[],[f188,f464,f357,f345,f205]) ).

fof(f188,axiom,
    ! [X0,X1] :
      ( c3_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | hskp11
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

fof(f784,plain,
    ( spl0_84
    | ~ spl0_2
    | spl0_82
    | spl0_88 ),
    inference(avatar_split_clause,[],[f193,f590,f566,f205,f573]) ).

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

fof(f783,plain,
    ( ~ spl0_49
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f125,f780,f411]) ).

fof(f125,axiom,
    ( ~ c2_1(a1316)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f771,plain,
    ( spl0_120
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f70,f303,f768]) ).

fof(f70,axiom,
    ( ~ hskp18
    | c1_1(a1339) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f754,plain,
    ( ~ spl0_42
    | spl0_117 ),
    inference(avatar_split_clause,[],[f83,f751,f380]) ).

fof(f83,axiom,
    ( c2_1(a1320)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f744,plain,
    ( ~ spl0_2
    | spl0_73
    | spl0_9
    | spl0_16 ),
    inference(avatar_split_clause,[],[f168,f262,f235,f520,f205]) ).

fof(f168,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | ~ c2_1(X0)
      | hskp0
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f742,plain,
    ( ~ spl0_2
    | spl0_83
    | spl0_34
    | spl0_71 ),
    inference(avatar_split_clause,[],[f167,f510,f345,f569,f205]) ).

fof(f510,plain,
    ( spl0_71
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f167,axiom,
    ! [X0] :
      ( hskp22
      | hskp11
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f741,plain,
    ( spl0_115
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f63,f510,f738]) ).

fof(f63,axiom,
    ( ~ hskp22
    | c0_1(a1356) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f730,plain,
    ( ~ spl0_71
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f101,f727,f510]) ).

fof(f101,axiom,
    ( ~ c3_1(a1356)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f725,plain,
    ( spl0_112
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f56,f476,f722]) ).

fof(f56,axiom,
    ( ~ hskp27
    | c0_1(a1307) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f720,plain,
    ( spl0_20
    | spl0_42
    | spl0_29 ),
    inference(avatar_split_clause,[],[f35,f322,f380,f280]) ).

fof(f35,axiom,
    ( hskp2
    | hskp9
    | hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f719,plain,
    ( spl0_7
    | ~ spl0_2
    | spl0_83
    | spl0_65 ),
    inference(avatar_split_clause,[],[f191,f485,f569,f205,f227]) ).

fof(f191,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | hskp17
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).

fof(f717,plain,
    ( ~ spl0_111
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f115,f317,f714]) ).

fof(f115,axiom,
    ( ~ hskp13
    | ~ c2_1(a1326) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f712,plain,
    ( ~ spl0_110
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f112,f331,f709]) ).

fof(f112,axiom,
    ( ~ hskp14
    | ~ c1_1(a1330) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f706,plain,
    ( spl0_109
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f51,f218,f703]) ).

fof(f51,axiom,
    ( ~ hskp29
    | c2_1(a1338) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f692,plain,
    ( ~ spl0_107
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f114,f317,f689]) ).

fof(f114,axiom,
    ( ~ hskp13
    | ~ c1_1(a1326) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f687,plain,
    ( ~ spl0_45
    | spl0_106 ),
    inference(avatar_split_clause,[],[f55,f684,f393]) ).

fof(f55,axiom,
    ( c3_1(a1328)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f682,plain,
    ( ~ spl0_73
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f139,f679,f520]) ).

fof(f139,axiom,
    ( ~ c2_1(a1306)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f676,plain,
    ( ~ spl0_7
    | spl0_104 ),
    inference(avatar_split_clause,[],[f72,f673,f227]) ).

fof(f72,axiom,
    ( c3_1(a1334)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f671,plain,
    ( ~ spl0_103
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f99,f430,f668]) ).

fof(f99,axiom,
    ( ~ hskp23
    | ~ c1_1(a1359) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f666,plain,
    ( spl0_102
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f91,f322,f663]) ).

fof(f91,axiom,
    ( ~ hskp2
    | c3_1(a1309) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f661,plain,
    ( spl0_52
    | spl0_64 ),
    inference(avatar_split_clause,[],[f1,f481,f425]) ).

fof(f1,axiom,
    ( hskp12
    | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f660,plain,
    ( ~ spl0_2
    | spl0_101
    | spl0_62
    | spl0_37 ),
    inference(avatar_split_clause,[],[f200,f357,f472,f658,f205]) ).

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

fof(f651,plain,
    ( spl0_14
    | spl0_99
    | spl0_66
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f194,f205,f488,f649,f256]) ).

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

fof(f647,plain,
    ( ~ spl0_47
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f95,f644,f402]) ).

fof(f95,axiom,
    ( ~ c3_1(a1394)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f642,plain,
    ( ~ spl0_34
    | spl0_97 ),
    inference(avatar_split_clause,[],[f79,f639,f345]) ).

fof(f79,axiom,
    ( c0_1(a1324)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f636,plain,
    ( ~ spl0_96
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f102,f496,f633]) ).

fof(f102,axiom,
    ( ~ hskp21
    | ~ c0_1(a1352) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f631,plain,
    ( ~ spl0_61
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f123,f628,f468]) ).

fof(f123,axiom,
    ( ~ c3_1(a1319)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f621,plain,
    ( ~ spl0_61
    | spl0_93 ),
    inference(avatar_split_clause,[],[f84,f618,f468]) ).

fof(f84,axiom,
    ( c2_1(a1319)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f610,plain,
    ( spl0_91
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f59,f425,f607]) ).

fof(f59,axiom,
    ( ~ hskp26
    | c0_1(a1411) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f605,plain,
    ( spl0_57
    | spl0_49
    | spl0_45 ),
    inference(avatar_split_clause,[],[f38,f393,f411,f449]) ).

fof(f38,axiom,
    ( hskp28
    | hskp7
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f598,plain,
    ( ~ spl0_45
    | spl0_89 ),
    inference(avatar_split_clause,[],[f53,f595,f393]) ).

fof(f53,axiom,
    ( c0_1(a1328)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f592,plain,
    ( spl0_88
    | ~ spl0_2
    | spl0_85
    | spl0_46 ),
    inference(avatar_split_clause,[],[f181,f398,f576,f205,f590]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( hskp20
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | c1_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f588,plain,
    ( spl0_71
    | spl0_53
    | spl0_76
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f160,f205,f535,f430,f510]) ).

fof(f160,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0)
      | hskp23
      | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f587,plain,
    ( spl0_2
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f24,f380,f205]) ).

fof(f24,axiom,
    ( ~ hskp9
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).

fof(f586,plain,
    ( spl0_87
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f64,f510,f583]) ).

fof(f64,axiom,
    ( ~ hskp22
    | c1_1(a1356) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f581,plain,
    ( ~ spl0_2
    | spl0_84
    | spl0_85
    | spl0_86 ),
    inference(avatar_split_clause,[],[f197,f579,f576,f573,f205]) ).

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

fof(f559,plain,
    ( spl0_46
    | spl0_5
    | spl0_52 ),
    inference(avatar_split_clause,[],[f43,f425,f218,f398]) ).

fof(f43,axiom,
    ( hskp26
    | hskp29
    | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f558,plain,
    ( ~ spl0_45
    | spl0_80 ),
    inference(avatar_split_clause,[],[f54,f555,f393]) ).

fof(f54,axiom,
    ( c2_1(a1328)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f553,plain,
    ( ~ spl0_64
    | spl0_79 ),
    inference(avatar_split_clause,[],[f78,f550,f481]) ).

fof(f78,axiom,
    ( c3_1(a1325)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f533,plain,
    ( spl0_75
    | spl0_49
    | ~ spl0_2
    | spl0_15 ),
    inference(avatar_split_clause,[],[f178,f259,f205,f411,f531]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | hskp7
      | c0_1(X1)
      | ~ c3_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f529,plain,
    ( ~ spl0_2
    | spl0_28
    | spl0_65 ),
    inference(avatar_split_clause,[],[f166,f485,f317,f205]) ).

fof(f166,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | hskp13
      | ~ c2_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f528,plain,
    ( ~ spl0_74
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f117,f481,f525]) ).

fof(f117,axiom,
    ( ~ hskp12
    | ~ c0_1(a1325) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f508,plain,
    ( ~ spl0_2
    | spl0_46
    | spl0_70
    | spl0_29 ),
    inference(avatar_split_clause,[],[f156,f322,f506,f398,f205]) ).

fof(f156,axiom,
    ! [X0] :
      ( hskp2
      | c1_1(X0)
      | ~ c0_1(X0)
      | hskp20
      | ~ c2_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f504,plain,
    ( ~ spl0_61
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f122,f501,f468]) ).

fof(f122,axiom,
    ( ~ c0_1(a1319)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f499,plain,
    ( spl0_67
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f65,f496,f492]) ).

fof(f65,axiom,
    ( ~ hskp21
    | c3_1(a1352) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f490,plain,
    ( spl0_64
    | spl0_65
    | ~ spl0_2
    | spl0_66 ),
    inference(avatar_split_clause,[],[f184,f488,f205,f485,f481]) ).

fof(f184,axiom,
    ! [X0,X1] :
      ( c3_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | hskp12
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f474,plain,
    ( ~ spl0_2
    | spl0_61
    | spl0_62
    | spl0_1 ),
    inference(avatar_split_clause,[],[f174,f202,f472,f468,f205]) ).

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

fof(f462,plain,
    ( spl0_59
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f85,f213,f459]) ).

fof(f85,axiom,
    ( ~ hskp6
    | c3_1(a1315) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f457,plain,
    ( ~ spl0_4
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f128,f454,f213]) ).

fof(f128,axiom,
    ( ~ c1_1(a1315)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f442,plain,
    ( ~ spl0_55
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f118,f345,f439]) ).

fof(f118,axiom,
    ( ~ hskp11
    | ~ c1_1(a1324) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f437,plain,
    ( ~ spl0_53
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f100,f434,f430]) ).

fof(f100,axiom,
    ( ~ c3_1(a1359)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f428,plain,
    ( ~ spl0_51
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f94,f425,f421]) ).

fof(f94,axiom,
    ( ~ hskp26
    | ~ c3_1(a1411) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f419,plain,
    ( ~ spl0_31
    | spl0_50 ),
    inference(avatar_split_clause,[],[f76,f416,f331]) ).

fof(f76,axiom,
    ( c0_1(a1330)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f414,plain,
    ( ~ spl0_48
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f126,f411,f407]) ).

fof(f126,axiom,
    ( ~ hskp7
    | ~ c3_1(a1316) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f391,plain,
    ( ~ spl0_2
    | spl0_1
    | spl0_42
    | spl0_44 ),
    inference(avatar_split_clause,[],[f170,f389,f380,f202,f205]) ).

fof(f170,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c3_1(X0)
      | hskp9
      | c2_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f387,plain,
    ( ~ spl0_42
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f121,f384,f380]) ).

fof(f121,axiom,
    ( ~ c1_1(a1320)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f378,plain,
    ( spl0_25
    | spl0_5
    | ~ spl0_2
    | spl0_41 ),
    inference(avatar_split_clause,[],[f147,f376,f205,f218,f303]) ).

fof(f147,axiom,
    ! [X0] :
      ( c1_1(X0)
      | ~ ndr1_0
      | hskp29
      | hskp18
      | c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f352,plain,
    ( ~ spl0_34
    | spl0_35 ),
    inference(avatar_split_clause,[],[f80,f349,f345]) ).

fof(f80,axiom,
    ( c3_1(a1324)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f338,plain,
    ( ~ spl0_31
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f113,f335,f331]) ).

fof(f113,axiom,
    ( ~ c2_1(a1330)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f329,plain,
    ( ~ spl0_29
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f134,f326,f322]) ).

fof(f134,axiom,
    ( ~ c2_1(a1309)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f310,plain,
    ( ~ spl0_25
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f106,f307,f303]) ).

fof(f106,axiom,
    ( ~ c0_1(a1339)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f254,plain,
    ( ~ spl0_7
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f108,f251,f227]) ).

fof(f108,axiom,
    ( ~ c0_1(a1334)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f240,plain,
    ( spl0_8
    | ~ spl0_2
    | spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f190,f238,f235,f205,f232]) ).

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

fof(f225,plain,
    ( ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f50,f222,f218]) ).

fof(f50,axiom,
    ( c1_1(a1338)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN478-1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n023.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 22:20:19 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 1.29/0.52  % (10157)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.29/0.53  % (10165)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.29/0.53  % (10169)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.29/0.54  % (10153)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.29/0.54  % (10147)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.45/0.54  % (10149)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.45/0.54  % (10154)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.45/0.54  % (10154)Instruction limit reached!
% 1.45/0.54  % (10154)------------------------------
% 1.45/0.54  % (10154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54  % (10154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54  % (10154)Termination reason: Unknown
% 1.45/0.54  % (10154)Termination phase: Blocked clause elimination
% 1.45/0.54  
% 1.45/0.54  % (10154)Memory used [KB]: 1151
% 1.45/0.54  % (10154)Time elapsed: 0.003 s
% 1.45/0.54  % (10154)Instructions burned: 4 (million)
% 1.45/0.54  % (10154)------------------------------
% 1.45/0.54  % (10154)------------------------------
% 1.45/0.54  % (10150)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.45/0.54  % (10146)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.45/0.54  % (10151)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.45/0.54  % (10153)Instruction limit reached!
% 1.45/0.54  % (10153)------------------------------
% 1.45/0.54  % (10153)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54  % (10153)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54  % (10153)Termination reason: Unknown
% 1.45/0.54  % (10153)Termination phase: Saturation
% 1.45/0.54  
% 1.45/0.54  % (10153)Memory used [KB]: 6012
% 1.45/0.54  % (10153)Time elapsed: 0.123 s
% 1.45/0.54  % (10153)Instructions burned: 7 (million)
% 1.45/0.54  % (10153)------------------------------
% 1.45/0.54  % (10153)------------------------------
% 1.45/0.55  % (10152)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.45/0.55  % (10168)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.45/0.55  % (10148)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.45/0.55  % (10166)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.45/0.55  % (10164)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.45/0.55  % (10173)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.45/0.55  Detected maximum model sizes of [31]
% 1.45/0.55  TRYING [1]
% 1.45/0.55  % (10167)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.45/0.55  % (10161)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.45/0.55  % (10162)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.45/0.55  % (10160)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.45/0.56  % (10156)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.45/0.56  % (10158)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.45/0.56  % (10171)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.45/0.56  % (10159)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.45/0.56  % (10155)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.45/0.56  % (10163)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.45/0.56  % (10170)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.45/0.57  % (10175)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.45/0.57  % (10174)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.45/0.57  Detected maximum model sizes of [31]
% 1.45/0.57  % (10172)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.45/0.57  TRYING [2]
% 1.45/0.57  TRYING [3]
% 1.45/0.58  TRYING [4]
% 1.45/0.58  TRYING [1]
% 1.45/0.58  TRYING [2]
% 1.45/0.59  Detected maximum model sizes of [31]
% 1.45/0.59  TRYING [1]
% 1.45/0.59  TRYING [3]
% 1.45/0.59  TRYING [4]
% 1.45/0.59  TRYING [2]
% 1.45/0.60  TRYING [3]
% 1.45/0.60  % (10149)First to succeed.
% 1.45/0.61  TRYING [4]
% 1.45/0.61  % (10148)Instruction limit reached!
% 1.45/0.61  % (10148)------------------------------
% 1.45/0.61  % (10148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.61  % (10148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.61  % (10148)Termination reason: Unknown
% 1.45/0.61  % (10148)Termination phase: Saturation
% 1.45/0.61  
% 1.45/0.61  % (10148)Memory used [KB]: 1279
% 1.45/0.61  % (10148)Time elapsed: 0.192 s
% 1.45/0.61  % (10148)Instructions burned: 37 (million)
% 1.45/0.61  % (10148)------------------------------
% 1.45/0.61  % (10148)------------------------------
% 1.45/0.62  TRYING [5]
% 1.45/0.62  TRYING [5]
% 1.45/0.62  % (10152)Instruction limit reached!
% 1.45/0.62  % (10152)------------------------------
% 1.45/0.62  % (10152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.62  % (10152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.62  % (10152)Termination reason: Unknown
% 1.45/0.62  % (10152)Termination phase: Finite model building SAT solving
% 1.45/0.62  
% 1.45/0.62  % (10152)Memory used [KB]: 6140
% 1.45/0.62  % (10152)Time elapsed: 0.169 s
% 1.45/0.62  % (10152)Instructions burned: 52 (million)
% 1.45/0.62  % (10152)------------------------------
% 1.45/0.62  % (10152)------------------------------
% 1.45/0.62  % (10157)Also succeeded, but the first one will report.
% 1.45/0.63  % (10149)Refutation found. Thanks to Tanya!
% 1.45/0.63  % SZS status Unsatisfiable for theBenchmark
% 1.45/0.63  % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.63  % (10149)------------------------------
% 1.45/0.63  % (10149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.63  % (10149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.63  % (10149)Termination reason: Refutation
% 1.45/0.63  
% 1.45/0.63  % (10149)Memory used [KB]: 6652
% 1.45/0.63  % (10149)Time elapsed: 0.176 s
% 1.45/0.63  % (10149)Instructions burned: 33 (million)
% 1.45/0.63  % (10149)------------------------------
% 1.45/0.63  % (10149)------------------------------
% 1.45/0.63  % (10145)Success in time 0.266 s
%------------------------------------------------------------------------------