TSTP Solution File: SYN466-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN466-1 : 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 : n027.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 19:38:13 EDT 2022

% Result   : Unsatisfiable 1.57s 0.56s
% Output   : Refutation 1.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  286
% Syntax   : Number of formulae    :  649 (   1 unt;   0 def)
%            Number of atoms       : 1995 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2326 ( 980   ~;1189   |;   0   &)
%                                         ( 157 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  191 ( 190 usr; 187 prp; 0-1 aty)
%            Number of functors    :   28 (  28 usr;  28 con; 0-0 aty)
%            Number of variables   :  117 ( 117   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2383,plain,
    $false,
    inference(avatar_sat_refutation,[],[f205,f214,f242,f253,f263,f272,f281,f282,f291,f312,f317,f335,f342,f351,f369,f395,f402,f409,f436,f443,f452,f457,f467,f468,f473,f478,f479,f488,f489,f495,f504,f509,f521,f522,f526,f531,f537,f542,f547,f572,f582,f587,f592,f604,f609,f618,f624,f630,f635,f636,f650,f655,f660,f665,f670,f671,f672,f677,f682,f687,f688,f693,f698,f704,f705,f706,f712,f717,f722,f723,f725,f731,f736,f748,f754,f755,f760,f765,f770,f780,f786,f788,f798,f799,f804,f805,f815,f820,f822,f828,f833,f835,f841,f842,f843,f848,f853,f858,f863,f868,f873,f879,f885,f886,f891,f896,f901,f906,f907,f913,f923,f930,f935,f940,f945,f951,f956,f961,f962,f968,f974,f976,f981,f982,f987,f989,f994,f1000,f1001,f1004,f1020,f1028,f1031,f1045,f1053,f1055,f1064,f1102,f1121,f1138,f1140,f1157,f1158,f1159,f1162,f1188,f1196,f1197,f1205,f1216,f1217,f1243,f1315,f1325,f1328,f1394,f1396,f1414,f1416,f1433,f1434,f1454,f1456,f1472,f1475,f1507,f1513,f1537,f1538,f1539,f1546,f1607,f1734,f1736,f1738,f1739,f1797,f1798,f1808,f1810,f1811,f1829,f1852,f1853,f1854,f1881,f1882,f1883,f1906,f1908,f1921,f1991,f2024,f2025,f2069,f2115,f2159,f2166,f2176,f2228,f2260,f2261,f2308,f2310,f2378,f2381,f2382]) ).

fof(f2382,plain,
    ( spl0_166
    | ~ spl0_143
    | ~ spl0_49
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f2248,f757,f400,f898,f1061]) ).

fof(f1061,plain,
    ( spl0_166
  <=> c3_1(a128) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f898,plain,
    ( spl0_143
  <=> c0_1(a128) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f400,plain,
    ( spl0_49
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f757,plain,
    ( spl0_118
  <=> c2_1(a128) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f2248,plain,
    ( ~ c0_1(a128)
    | c3_1(a128)
    | ~ spl0_49
    | ~ spl0_118 ),
    inference(resolution,[],[f401,f759]) ).

fof(f759,plain,
    ( c2_1(a128)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f401,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f2381,plain,
    ( ~ spl0_180
    | spl0_33
    | ~ spl0_49
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2252,f978,f400,f332,f1312]) ).

fof(f1312,plain,
    ( spl0_180
  <=> c0_1(a114) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f332,plain,
    ( spl0_33
  <=> c3_1(a114) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f978,plain,
    ( spl0_157
  <=> c2_1(a114) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f2252,plain,
    ( c3_1(a114)
    | ~ c0_1(a114)
    | ~ spl0_49
    | ~ spl0_157 ),
    inference(resolution,[],[f401,f980]) ).

fof(f980,plain,
    ( c2_1(a114)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f978]) ).

fof(f2378,plain,
    ( ~ spl0_150
    | ~ spl0_143
    | ~ spl0_59
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f2359,f1061,f445,f898,f937]) ).

fof(f937,plain,
    ( spl0_150
  <=> c1_1(a128) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f445,plain,
    ( spl0_59
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f2359,plain,
    ( ~ c0_1(a128)
    | ~ c1_1(a128)
    | ~ spl0_59
    | ~ spl0_166 ),
    inference(resolution,[],[f446,f1063]) ).

fof(f1063,plain,
    ( c3_1(a128)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1061]) ).

fof(f446,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f2310,plain,
    ( spl0_74
    | spl0_65
    | ~ spl0_34
    | spl0_148 ),
    inference(avatar_split_clause,[],[f2038,f927,f337,f475,f518]) ).

fof(f518,plain,
    ( spl0_74
  <=> c1_1(a145) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f475,plain,
    ( spl0_65
  <=> c0_1(a145) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f337,plain,
    ( spl0_34
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f927,plain,
    ( spl0_148
  <=> c2_1(a145) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f2038,plain,
    ( c0_1(a145)
    | c1_1(a145)
    | ~ spl0_34
    | spl0_148 ),
    inference(resolution,[],[f338,f929]) ).

fof(f929,plain,
    ( ~ c2_1(a145)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f338,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f2308,plain,
    ( ~ spl0_100
    | spl0_103
    | ~ spl0_35
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f2290,f1802,f340,f667,f652]) ).

fof(f652,plain,
    ( spl0_100
  <=> c1_1(a167) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f667,plain,
    ( spl0_103
  <=> c2_1(a167) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f340,plain,
    ( spl0_35
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1802,plain,
    ( spl0_188
  <=> c3_1(a167) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).

fof(f2290,plain,
    ( c2_1(a167)
    | ~ c1_1(a167)
    | ~ spl0_35
    | ~ spl0_188 ),
    inference(resolution,[],[f341,f1804]) ).

fof(f1804,plain,
    ( c3_1(a167)
    | ~ spl0_188 ),
    inference(avatar_component_clause,[],[f1802]) ).

fof(f341,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f2261,plain,
    ( spl0_149
    | ~ spl0_92
    | ~ spl0_49
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2251,f817,f400,f611,f932]) ).

fof(f932,plain,
    ( spl0_149
  <=> c3_1(a116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f611,plain,
    ( spl0_92
  <=> c0_1(a116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f817,plain,
    ( spl0_129
  <=> c2_1(a116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2251,plain,
    ( ~ c0_1(a116)
    | c3_1(a116)
    | ~ spl0_49
    | ~ spl0_129 ),
    inference(resolution,[],[f401,f819]) ).

fof(f819,plain,
    ( c2_1(a116)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f2260,plain,
    ( ~ spl0_181
    | spl0_123
    | ~ spl0_49
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2253,f942,f400,f783,f1322]) ).

fof(f1322,plain,
    ( spl0_181
  <=> c0_1(a110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f783,plain,
    ( spl0_123
  <=> c3_1(a110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f942,plain,
    ( spl0_151
  <=> c2_1(a110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f2253,plain,
    ( c3_1(a110)
    | ~ c0_1(a110)
    | ~ spl0_49
    | ~ spl0_151 ),
    inference(resolution,[],[f401,f944]) ).

fof(f944,plain,
    ( c2_1(a110)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f942]) ).

fof(f2228,plain,
    ( spl0_166
    | ~ spl0_143
    | ~ spl0_44
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2211,f937,f381,f898,f1061]) ).

fof(f381,plain,
    ( spl0_44
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f2211,plain,
    ( ~ c0_1(a128)
    | c3_1(a128)
    | ~ spl0_44
    | ~ spl0_150 ),
    inference(resolution,[],[f382,f939]) ).

fof(f939,plain,
    ( c1_1(a128)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f937]) ).

fof(f382,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f2176,plain,
    ( spl0_112
    | spl0_101
    | ~ spl0_10
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2175,f1047,f237,f657,f719]) ).

fof(f719,plain,
    ( spl0_112
  <=> c2_1(a163) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f657,plain,
    ( spl0_101
  <=> c3_1(a163) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f237,plain,
    ( spl0_10
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1047,plain,
    ( spl0_165
  <=> c0_1(a163) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f2175,plain,
    ( c3_1(a163)
    | c2_1(a163)
    | ~ spl0_10
    | ~ spl0_165 ),
    inference(resolution,[],[f1049,f238]) ).

fof(f238,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f1049,plain,
    ( c0_1(a163)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1047]) ).

fof(f2166,plain,
    ( spl0_165
    | spl0_96
    | ~ spl0_34
    | spl0_112 ),
    inference(avatar_split_clause,[],[f2036,f719,f337,f632,f1047]) ).

fof(f632,plain,
    ( spl0_96
  <=> c1_1(a163) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f2036,plain,
    ( c1_1(a163)
    | c0_1(a163)
    | ~ spl0_34
    | spl0_112 ),
    inference(resolution,[],[f338,f721]) ).

fof(f721,plain,
    ( ~ c2_1(a163)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f2159,plain,
    ( spl0_175
    | ~ spl0_109
    | ~ spl0_2
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f2138,f367,f202,f701,f1185]) ).

fof(f1185,plain,
    ( spl0_175
  <=> c1_1(a131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f701,plain,
    ( spl0_109
  <=> c0_1(a131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f202,plain,
    ( spl0_2
  <=> c2_1(a131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f367,plain,
    ( spl0_41
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f2138,plain,
    ( ~ c0_1(a131)
    | c1_1(a131)
    | ~ spl0_2
    | ~ spl0_41 ),
    inference(resolution,[],[f368,f204]) ).

fof(f204,plain,
    ( c2_1(a131)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f368,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f2115,plain,
    ( spl0_135
    | spl0_176
    | ~ spl0_17
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f2110,f991,f261,f1193,f855]) ).

fof(f855,plain,
    ( spl0_135
  <=> c1_1(a117) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1193,plain,
    ( spl0_176
  <=> c2_1(a117) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f261,plain,
    ( spl0_17
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f991,plain,
    ( spl0_159
  <=> c0_1(a117) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f2110,plain,
    ( c2_1(a117)
    | c1_1(a117)
    | ~ spl0_17
    | ~ spl0_159 ),
    inference(resolution,[],[f262,f993]) ).

fof(f993,plain,
    ( c0_1(a117)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f991]) ).

fof(f262,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f2069,plain,
    ( ~ spl0_70
    | spl0_120
    | ~ spl0_40
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f2051,f1104,f364,f767,f501]) ).

fof(f501,plain,
    ( spl0_70
  <=> c0_1(a187) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f767,plain,
    ( spl0_120
  <=> c1_1(a187) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f364,plain,
    ( spl0_40
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1104,plain,
    ( spl0_170
  <=> c3_1(a187) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f2051,plain,
    ( c1_1(a187)
    | ~ c0_1(a187)
    | ~ spl0_40
    | ~ spl0_170 ),
    inference(resolution,[],[f365,f1106]) ).

fof(f1106,plain,
    ( c3_1(a187)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1104]) ).

fof(f365,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f2025,plain,
    ( spl0_107
    | ~ spl0_186
    | ~ spl0_16
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2005,f910,f258,f1510,f690]) ).

fof(f690,plain,
    ( spl0_107
  <=> c2_1(a126) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1510,plain,
    ( spl0_186
  <=> c0_1(a126) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f258,plain,
    ( spl0_16
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f910,plain,
    ( spl0_145
  <=> c1_1(a126) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f2005,plain,
    ( ~ c0_1(a126)
    | c2_1(a126)
    | ~ spl0_16
    | ~ spl0_145 ),
    inference(resolution,[],[f259,f912]) ).

fof(f912,plain,
    ( c1_1(a126)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f910]) ).

fof(f259,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f2024,plain,
    ( ~ spl0_90
    | spl0_182
    | ~ spl0_16
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2012,f801,f258,f1341,f601]) ).

fof(f601,plain,
    ( spl0_90
  <=> c0_1(a103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1341,plain,
    ( spl0_182
  <=> c2_1(a103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f801,plain,
    ( spl0_126
  <=> c1_1(a103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f2012,plain,
    ( c2_1(a103)
    | ~ c0_1(a103)
    | ~ spl0_16
    | ~ spl0_126 ),
    inference(resolution,[],[f259,f803]) ).

fof(f803,plain,
    ( c1_1(a103)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f1991,plain,
    ( spl0_33
    | spl0_180
    | ~ spl0_11
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1871,f695,f240,f1312,f332]) ).

fof(f240,plain,
    ( spl0_11
  <=> ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f695,plain,
    ( spl0_108
  <=> c1_1(a114) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1871,plain,
    ( c0_1(a114)
    | c3_1(a114)
    | ~ spl0_11
    | ~ spl0_108 ),
    inference(resolution,[],[f241,f697]) ).

fof(f697,plain,
    ( c1_1(a114)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f241,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | c3_1(X2) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f1921,plain,
    ( spl0_79
    | spl0_178
    | ~ spl0_11
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1920,f745,f240,f1213,f544]) ).

fof(f544,plain,
    ( spl0_79
  <=> c0_1(a107) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1213,plain,
    ( spl0_178
  <=> c3_1(a107) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f745,plain,
    ( spl0_116
  <=> c1_1(a107) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1920,plain,
    ( c3_1(a107)
    | c0_1(a107)
    | ~ spl0_11
    | ~ spl0_116 ),
    inference(resolution,[],[f747,f241]) ).

fof(f747,plain,
    ( c1_1(a107)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f745]) ).

fof(f1908,plain,
    ( spl0_132
    | spl0_94
    | ~ spl0_15
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1899,f1173,f255,f621,f838]) ).

fof(f838,plain,
    ( spl0_132
  <=> c1_1(a102) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f621,plain,
    ( spl0_94
  <=> c0_1(a102) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f255,plain,
    ( spl0_15
  <=> ! [X2] :
        ( c1_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f1173,plain,
    ( spl0_174
  <=> c3_1(a102) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f1899,plain,
    ( c0_1(a102)
    | c1_1(a102)
    | ~ spl0_15
    | ~ spl0_174 ),
    inference(resolution,[],[f256,f1174]) ).

fof(f1174,plain,
    ( c3_1(a102)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1173]) ).

fof(f256,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f1906,plain,
    ( spl0_142
    | spl0_119
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f1891,f269,f255,f762,f893]) ).

fof(f893,plain,
    ( spl0_142
  <=> c0_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f762,plain,
    ( spl0_119
  <=> c1_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f269,plain,
    ( spl0_19
  <=> c3_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1891,plain,
    ( c1_1(a132)
    | c0_1(a132)
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(resolution,[],[f256,f271]) ).

fof(f271,plain,
    ( c3_1(a132)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f1883,plain,
    ( spl0_28
    | spl0_87
    | ~ spl0_11
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f1880,f1042,f240,f584,f309]) ).

fof(f309,plain,
    ( spl0_28
  <=> c3_1(a111) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f584,plain,
    ( spl0_87
  <=> c0_1(a111) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1042,plain,
    ( spl0_164
  <=> c1_1(a111) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f1880,plain,
    ( c0_1(a111)
    | c3_1(a111)
    | ~ spl0_11
    | ~ spl0_164 ),
    inference(resolution,[],[f241,f1044]) ).

fof(f1044,plain,
    ( c1_1(a111)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1042]) ).

fof(f1882,plain,
    ( spl0_99
    | spl0_169
    | ~ spl0_11
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1873,f714,f240,f1099,f647]) ).

fof(f647,plain,
    ( spl0_99
  <=> c3_1(a112) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1099,plain,
    ( spl0_169
  <=> c0_1(a112) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f714,plain,
    ( spl0_111
  <=> c1_1(a112) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1873,plain,
    ( c0_1(a112)
    | c3_1(a112)
    | ~ spl0_11
    | ~ spl0_111 ),
    inference(resolution,[],[f241,f716]) ).

fof(f716,plain,
    ( c1_1(a112)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f1881,plain,
    ( spl0_188
    | spl0_29
    | ~ spl0_11
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1867,f652,f240,f314,f1802]) ).

fof(f314,plain,
    ( spl0_29
  <=> c0_1(a167) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1867,plain,
    ( c0_1(a167)
    | c3_1(a167)
    | ~ spl0_11
    | ~ spl0_100 ),
    inference(resolution,[],[f241,f654]) ).

fof(f654,plain,
    ( c1_1(a167)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f1854,plain,
    ( spl0_88
    | spl0_154
    | ~ spl0_10
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1841,f751,f237,f958,f589]) ).

fof(f589,plain,
    ( spl0_88
  <=> c3_1(a135) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f958,plain,
    ( spl0_154
  <=> c2_1(a135) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f751,plain,
    ( spl0_117
  <=> c0_1(a135) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1841,plain,
    ( c2_1(a135)
    | c3_1(a135)
    | ~ spl0_10
    | ~ spl0_117 ),
    inference(resolution,[],[f238,f753]) ).

fof(f753,plain,
    ( c0_1(a135)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f1853,plain,
    ( spl0_56
    | spl0_168
    | ~ spl0_10
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1845,f684,f237,f1094,f433]) ).

fof(f433,plain,
    ( spl0_56
  <=> c2_1(a106) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1094,plain,
    ( spl0_168
  <=> c3_1(a106) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f684,plain,
    ( spl0_106
  <=> c0_1(a106) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1845,plain,
    ( c3_1(a106)
    | c2_1(a106)
    | ~ spl0_10
    | ~ spl0_106 ),
    inference(resolution,[],[f238,f686]) ).

fof(f686,plain,
    ( c0_1(a106)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f1852,plain,
    ( spl0_91
    | spl0_170
    | ~ spl0_10
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1839,f501,f237,f1104,f606]) ).

fof(f606,plain,
    ( spl0_91
  <=> c2_1(a187) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1839,plain,
    ( c3_1(a187)
    | c2_1(a187)
    | ~ spl0_10
    | ~ spl0_70 ),
    inference(resolution,[],[f238,f503]) ).

fof(f503,plain,
    ( c0_1(a187)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f1829,plain,
    ( spl0_34
    | ~ spl0_12
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f1704,f441,f244,f337]) ).

fof(f244,plain,
    ( spl0_12
  <=> ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f441,plain,
    ( spl0_58
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f1704,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_12
    | ~ spl0_58 ),
    inference(duplicate_literal_removal,[],[f1691]) ).

fof(f1691,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_12
    | ~ spl0_58 ),
    inference(resolution,[],[f442,f245]) ).

fof(f245,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f442,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f1811,plain,
    ( ~ spl0_158
    | ~ spl0_159
    | ~ spl0_72
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1766,f1193,f511,f991,f984]) ).

fof(f984,plain,
    ( spl0_158
  <=> c3_1(a117) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f511,plain,
    ( spl0_72
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1766,plain,
    ( ~ c0_1(a117)
    | ~ c3_1(a117)
    | ~ spl0_72
    | ~ spl0_176 ),
    inference(resolution,[],[f512,f1195]) ).

fof(f1195,plain,
    ( c2_1(a117)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f1193]) ).

fof(f512,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f1810,plain,
    ( spl0_187
    | spl0_22
    | ~ spl0_17
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1743,f965,f261,f284,f1594]) ).

fof(f1594,plain,
    ( spl0_187
  <=> c2_1(a139) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f284,plain,
    ( spl0_22
  <=> c1_1(a139) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f965,plain,
    ( spl0_155
  <=> c0_1(a139) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1743,plain,
    ( c1_1(a139)
    | c2_1(a139)
    | ~ spl0_17
    | ~ spl0_155 ),
    inference(resolution,[],[f967,f262]) ).

fof(f967,plain,
    ( c0_1(a139)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f965]) ).

fof(f1808,plain,
    ( ~ spl0_150
    | ~ spl0_166
    | ~ spl0_50
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1527,f757,f404,f1061,f937]) ).

fof(f404,plain,
    ( spl0_50
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1527,plain,
    ( ~ c3_1(a128)
    | ~ c1_1(a128)
    | ~ spl0_50
    | ~ spl0_118 ),
    inference(resolution,[],[f405,f759]) ).

fof(f405,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f1798,plain,
    ( spl0_11
    | ~ spl0_9
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1796,f524,f234,f240]) ).

fof(f234,plain,
    ( spl0_9
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f524,plain,
    ( spl0_75
  <=> ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1796,plain,
    ( ! [X5] :
        ( c0_1(X5)
        | c3_1(X5)
        | ~ c1_1(X5) )
    | ~ spl0_9
    | ~ spl0_75 ),
    inference(duplicate_literal_removal,[],[f1779]) ).

fof(f1779,plain,
    ( ! [X5] :
        ( c3_1(X5)
        | c0_1(X5)
        | ~ c1_1(X5)
        | c3_1(X5) )
    | ~ spl0_9
    | ~ spl0_75 ),
    inference(resolution,[],[f525,f235]) ).

fof(f235,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f525,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f1797,plain,
    ( spl0_87
    | spl0_28
    | ~ spl0_75
    | spl0_114 ),
    inference(avatar_split_clause,[],[f1793,f733,f524,f309,f584]) ).

fof(f733,plain,
    ( spl0_114
  <=> c2_1(a111) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1793,plain,
    ( c3_1(a111)
    | c0_1(a111)
    | ~ spl0_75
    | spl0_114 ),
    inference(resolution,[],[f525,f735]) ).

fof(f735,plain,
    ( ~ c2_1(a111)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f1739,plain,
    ( ~ spl0_138
    | ~ spl0_21
    | ~ spl0_59
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1715,f865,f445,f278,f870]) ).

fof(f870,plain,
    ( spl0_138
  <=> c0_1(a141) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f278,plain,
    ( spl0_21
  <=> c1_1(a141) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f865,plain,
    ( spl0_137
  <=> c3_1(a141) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1715,plain,
    ( ~ c1_1(a141)
    | ~ c0_1(a141)
    | ~ spl0_59
    | ~ spl0_137 ),
    inference(resolution,[],[f446,f867]) ).

fof(f867,plain,
    ( c3_1(a141)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f865]) ).

fof(f1738,plain,
    ( ~ spl0_106
    | ~ spl0_104
    | ~ spl0_59
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1727,f1094,f445,f674,f684]) ).

fof(f674,plain,
    ( spl0_104
  <=> c1_1(a106) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1727,plain,
    ( ~ c1_1(a106)
    | ~ c0_1(a106)
    | ~ spl0_59
    | ~ spl0_168 ),
    inference(resolution,[],[f446,f1096]) ).

fof(f1096,plain,
    ( c3_1(a106)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1094]) ).

fof(f1736,plain,
    ( ~ spl0_177
    | ~ spl0_78
    | ~ spl0_59
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1717,f860,f445,f539,f1202]) ).

fof(f1202,plain,
    ( spl0_177
  <=> c0_1(a118) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f539,plain,
    ( spl0_78
  <=> c1_1(a118) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f860,plain,
    ( spl0_136
  <=> c3_1(a118) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1717,plain,
    ( ~ c1_1(a118)
    | ~ c0_1(a118)
    | ~ spl0_59
    | ~ spl0_136 ),
    inference(resolution,[],[f446,f862]) ).

fof(f862,plain,
    ( c3_1(a118)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f1734,plain,
    ( ~ spl0_109
    | ~ spl0_175
    | ~ spl0_59
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1716,f728,f445,f1185,f701]) ).

fof(f728,plain,
    ( spl0_113
  <=> c3_1(a131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1716,plain,
    ( ~ c1_1(a131)
    | ~ c0_1(a131)
    | ~ spl0_59
    | ~ spl0_113 ),
    inference(resolution,[],[f446,f730]) ).

fof(f730,plain,
    ( c3_1(a131)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f728]) ).

fof(f1607,plain,
    ( spl0_144
    | ~ spl0_155
    | ~ spl0_49
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f1605,f1594,f400,f965,f903]) ).

fof(f903,plain,
    ( spl0_144
  <=> c3_1(a139) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1605,plain,
    ( ~ c0_1(a139)
    | c3_1(a139)
    | ~ spl0_49
    | ~ spl0_187 ),
    inference(resolution,[],[f1596,f401]) ).

fof(f1596,plain,
    ( c2_1(a139)
    | ~ spl0_187 ),
    inference(avatar_component_clause,[],[f1594]) ).

fof(f1546,plain,
    ( ~ spl0_178
    | ~ spl0_116
    | ~ spl0_50
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1543,f579,f404,f745,f1213]) ).

fof(f579,plain,
    ( spl0_86
  <=> c2_1(a107) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1543,plain,
    ( ~ c1_1(a107)
    | ~ c3_1(a107)
    | ~ spl0_50
    | ~ spl0_86 ),
    inference(resolution,[],[f581,f405]) ).

fof(f581,plain,
    ( c2_1(a107)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f579]) ).

fof(f1539,plain,
    ( spl0_62
    | ~ spl0_163
    | ~ spl0_41
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1489,f709,f367,f1025,f460]) ).

fof(f460,plain,
    ( spl0_62
  <=> c1_1(a105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f1025,plain,
    ( spl0_163
  <=> c0_1(a105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f709,plain,
    ( spl0_110
  <=> c2_1(a105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1489,plain,
    ( ~ c0_1(a105)
    | c1_1(a105)
    | ~ spl0_41
    | ~ spl0_110 ),
    inference(resolution,[],[f368,f711]) ).

fof(f711,plain,
    ( c2_1(a105)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f1538,plain,
    ( spl0_135
    | ~ spl0_159
    | ~ spl0_41
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1485,f1193,f367,f991,f855]) ).

fof(f1485,plain,
    ( ~ c0_1(a117)
    | c1_1(a117)
    | ~ spl0_41
    | ~ spl0_176 ),
    inference(resolution,[],[f368,f1195]) ).

fof(f1537,plain,
    ( ~ spl0_60
    | ~ spl0_133
    | ~ spl0_50
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1532,f1075,f404,f845,f449]) ).

fof(f449,plain,
    ( spl0_60
  <=> c3_1(a108) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f845,plain,
    ( spl0_133
  <=> c1_1(a108) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1075,plain,
    ( spl0_167
  <=> c2_1(a108) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f1532,plain,
    ( ~ c1_1(a108)
    | ~ c3_1(a108)
    | ~ spl0_50
    | ~ spl0_167 ),
    inference(resolution,[],[f405,f1077]) ).

fof(f1077,plain,
    ( c2_1(a108)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1075]) ).

fof(f1513,plain,
    ( spl0_107
    | spl0_186
    | ~ spl0_47
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1499,f876,f393,f1510,f690]) ).

fof(f393,plain,
    ( spl0_47
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f876,plain,
    ( spl0_139
  <=> c3_1(a126) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1499,plain,
    ( c0_1(a126)
    | c2_1(a126)
    | ~ spl0_47
    | ~ spl0_139 ),
    inference(resolution,[],[f394,f878]) ).

fof(f878,plain,
    ( c3_1(a126)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f394,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f1507,plain,
    ( spl0_147
    | spl0_130
    | ~ spl0_47
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1501,f627,f393,f825,f920]) ).

fof(f920,plain,
    ( spl0_147
  <=> c2_1(a113) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f825,plain,
    ( spl0_130
  <=> c0_1(a113) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f627,plain,
    ( spl0_95
  <=> c3_1(a113) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1501,plain,
    ( c0_1(a113)
    | c2_1(a113)
    | ~ spl0_47
    | ~ spl0_95 ),
    inference(resolution,[],[f394,f629]) ).

fof(f629,plain,
    ( c3_1(a113)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f627]) ).

fof(f1475,plain,
    ( spl0_152
    | spl0_84
    | ~ spl0_12
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1473,f850,f244,f569,f948]) ).

fof(f948,plain,
    ( spl0_152
  <=> c1_1(a143) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f569,plain,
    ( spl0_84
  <=> c2_1(a143) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f850,plain,
    ( spl0_134
  <=> c3_1(a143) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1473,plain,
    ( c2_1(a143)
    | c1_1(a143)
    | ~ spl0_12
    | ~ spl0_134 ),
    inference(resolution,[],[f852,f245]) ).

fof(f852,plain,
    ( c3_1(a143)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f1472,plain,
    ( spl0_94
    | spl0_132
    | ~ spl0_51
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1467,f528,f407,f838,f621]) ).

fof(f407,plain,
    ( spl0_51
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f528,plain,
    ( spl0_76
  <=> c2_1(a102) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1467,plain,
    ( c1_1(a102)
    | c0_1(a102)
    | ~ spl0_51
    | ~ spl0_76 ),
    inference(resolution,[],[f408,f530]) ).

fof(f530,plain,
    ( c2_1(a102)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f408,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f1456,plain,
    ( ~ spl0_126
    | spl0_128
    | ~ spl0_9
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f1358,f1341,f234,f812,f801]) ).

fof(f812,plain,
    ( spl0_128
  <=> c3_1(a103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1358,plain,
    ( c3_1(a103)
    | ~ c1_1(a103)
    | ~ spl0_9
    | ~ spl0_182 ),
    inference(resolution,[],[f1343,f235]) ).

fof(f1343,plain,
    ( c2_1(a103)
    | ~ spl0_182 ),
    inference(avatar_component_clause,[],[f1341]) ).

fof(f1454,plain,
    ( spl0_107
    | ~ spl0_145
    | ~ spl0_35
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1446,f876,f340,f910,f690]) ).

fof(f1446,plain,
    ( ~ c1_1(a126)
    | c2_1(a126)
    | ~ spl0_35
    | ~ spl0_139 ),
    inference(resolution,[],[f341,f878]) ).

fof(f1434,plain,
    ( spl0_96
    | spl0_165
    | ~ spl0_58
    | spl0_101 ),
    inference(avatar_split_clause,[],[f1429,f657,f441,f1047,f632]) ).

fof(f1429,plain,
    ( c0_1(a163)
    | c1_1(a163)
    | ~ spl0_58
    | spl0_101 ),
    inference(resolution,[],[f442,f659]) ).

fof(f659,plain,
    ( ~ c3_1(a163)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f1433,plain,
    ( spl0_181
    | spl0_105
    | ~ spl0_58
    | spl0_123 ),
    inference(avatar_split_clause,[],[f1424,f783,f441,f679,f1322]) ).

fof(f679,plain,
    ( spl0_105
  <=> c1_1(a110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1424,plain,
    ( c1_1(a110)
    | c0_1(a110)
    | ~ spl0_58
    | spl0_123 ),
    inference(resolution,[],[f442,f785]) ).

fof(f785,plain,
    ( ~ c3_1(a110)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f783]) ).

fof(f1416,plain,
    ( spl0_94
    | spl0_174
    | ~ spl0_57
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1409,f528,f438,f1173,f621]) ).

fof(f438,plain,
    ( spl0_57
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1409,plain,
    ( c3_1(a102)
    | c0_1(a102)
    | ~ spl0_57
    | ~ spl0_76 ),
    inference(resolution,[],[f439,f530]) ).

fof(f439,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f1414,plain,
    ( spl0_123
    | spl0_181
    | ~ spl0_57
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1406,f942,f438,f1322,f783]) ).

fof(f1406,plain,
    ( c0_1(a110)
    | c3_1(a110)
    | ~ spl0_57
    | ~ spl0_151 ),
    inference(resolution,[],[f439,f944]) ).

fof(f1396,plain,
    ( ~ spl0_141
    | ~ spl0_171
    | ~ spl0_50
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1391,f997,f404,f1118,f888]) ).

fof(f888,plain,
    ( spl0_141
  <=> c3_1(a101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1118,plain,
    ( spl0_171
  <=> c1_1(a101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f997,plain,
    ( spl0_160
  <=> c2_1(a101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1391,plain,
    ( ~ c1_1(a101)
    | ~ c3_1(a101)
    | ~ spl0_50
    | ~ spl0_160 ),
    inference(resolution,[],[f405,f999]) ).

fof(f999,plain,
    ( c2_1(a101)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f997]) ).

fof(f1394,plain,
    ( ~ spl0_136
    | ~ spl0_78
    | ~ spl0_4
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f1382,f404,f211,f539,f860]) ).

fof(f211,plain,
    ( spl0_4
  <=> c2_1(a118) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1382,plain,
    ( ~ c1_1(a118)
    | ~ c3_1(a118)
    | ~ spl0_4
    | ~ spl0_50 ),
    inference(resolution,[],[f405,f213]) ).

fof(f213,plain,
    ( c2_1(a118)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f1328,plain,
    ( spl0_33
    | ~ spl0_108
    | ~ spl0_9
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1327,f978,f234,f695,f332]) ).

fof(f1327,plain,
    ( ~ c1_1(a114)
    | c3_1(a114)
    | ~ spl0_9
    | ~ spl0_157 ),
    inference(resolution,[],[f980,f235]) ).

fof(f1325,plain,
    ( spl0_105
    | ~ spl0_181
    | ~ spl0_41
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1319,f942,f367,f1322,f679]) ).

fof(f1319,plain,
    ( ~ c0_1(a110)
    | c1_1(a110)
    | ~ spl0_41
    | ~ spl0_151 ),
    inference(resolution,[],[f944,f368]) ).

fof(f1315,plain,
    ( ~ spl0_180
    | spl0_33
    | ~ spl0_44
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1310,f695,f381,f332,f1312]) ).

fof(f1310,plain,
    ( c3_1(a114)
    | ~ c0_1(a114)
    | ~ spl0_44
    | ~ spl0_108 ),
    inference(resolution,[],[f697,f382]) ).

fof(f1243,plain,
    ( spl0_29
    | spl0_103
    | ~ spl0_14
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1230,f652,f251,f667,f314]) ).

fof(f251,plain,
    ( spl0_14
  <=> ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f1230,plain,
    ( c2_1(a167)
    | c0_1(a167)
    | ~ spl0_14
    | ~ spl0_100 ),
    inference(resolution,[],[f252,f654]) ).

fof(f252,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f1217,plain,
    ( ~ spl0_116
    | spl0_178
    | ~ spl0_9
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1211,f579,f234,f1213,f745]) ).

fof(f1211,plain,
    ( c3_1(a107)
    | ~ c1_1(a107)
    | ~ spl0_9
    | ~ spl0_86 ),
    inference(resolution,[],[f581,f235]) ).

fof(f1216,plain,
    ( spl0_79
    | ~ spl0_178
    | ~ spl0_48
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1210,f579,f397,f1213,f544]) ).

fof(f397,plain,
    ( spl0_48
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1210,plain,
    ( ~ c3_1(a107)
    | c0_1(a107)
    | ~ spl0_48
    | ~ spl0_86 ),
    inference(resolution,[],[f581,f398]) ).

fof(f398,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f1205,plain,
    ( ~ spl0_136
    | spl0_177
    | ~ spl0_4
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1199,f397,f211,f1202,f860]) ).

fof(f1199,plain,
    ( c0_1(a118)
    | ~ c3_1(a118)
    | ~ spl0_4
    | ~ spl0_48 ),
    inference(resolution,[],[f213,f398]) ).

fof(f1197,plain,
    ( ~ spl0_159
    | spl0_135
    | ~ spl0_40
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1190,f984,f364,f855,f991]) ).

fof(f1190,plain,
    ( c1_1(a117)
    | ~ c0_1(a117)
    | ~ spl0_40
    | ~ spl0_158 ),
    inference(resolution,[],[f986,f365]) ).

fof(f986,plain,
    ( c3_1(a117)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f984]) ).

fof(f1196,plain,
    ( spl0_176
    | spl0_135
    | ~ spl0_12
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1191,f984,f244,f855,f1193]) ).

fof(f1191,plain,
    ( c1_1(a117)
    | c2_1(a117)
    | ~ spl0_12
    | ~ spl0_158 ),
    inference(resolution,[],[f986,f245]) ).

fof(f1188,plain,
    ( spl0_175
    | ~ spl0_109
    | ~ spl0_40
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1182,f728,f364,f701,f1185]) ).

fof(f1182,plain,
    ( ~ c0_1(a131)
    | c1_1(a131)
    | ~ spl0_40
    | ~ spl0_113 ),
    inference(resolution,[],[f730,f365]) ).

fof(f1162,plain,
    ( spl0_153
    | spl0_167
    | ~ spl0_47
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f1149,f449,f393,f1075,f953]) ).

fof(f953,plain,
    ( spl0_153
  <=> c0_1(a108) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1149,plain,
    ( c2_1(a108)
    | c0_1(a108)
    | ~ spl0_47
    | ~ spl0_60 ),
    inference(resolution,[],[f394,f451]) ).

fof(f451,plain,
    ( c3_1(a108)
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f1159,plain,
    ( spl0_153
    | ~ spl0_60
    | ~ spl0_48
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1153,f1075,f397,f449,f953]) ).

fof(f1153,plain,
    ( ~ c3_1(a108)
    | c0_1(a108)
    | ~ spl0_48
    | ~ spl0_167 ),
    inference(resolution,[],[f398,f1077]) ).

fof(f1158,plain,
    ( ~ spl0_125
    | spl0_163
    | ~ spl0_48
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1154,f709,f397,f1025,f795]) ).

fof(f795,plain,
    ( spl0_125
  <=> c3_1(a105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1154,plain,
    ( c0_1(a105)
    | ~ c3_1(a105)
    | ~ spl0_48
    | ~ spl0_110 ),
    inference(resolution,[],[f398,f711]) ).

fof(f1157,plain,
    ( ~ spl0_141
    | spl0_102
    | ~ spl0_48
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1156,f997,f397,f662,f888]) ).

fof(f662,plain,
    ( spl0_102
  <=> c0_1(a101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1156,plain,
    ( c0_1(a101)
    | ~ c3_1(a101)
    | ~ spl0_48
    | ~ spl0_160 ),
    inference(resolution,[],[f398,f999]) ).

fof(f1140,plain,
    ( spl0_99
    | spl0_140
    | ~ spl0_45
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1130,f714,f385,f882,f647]) ).

fof(f882,plain,
    ( spl0_140
  <=> c2_1(a112) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f385,plain,
    ( spl0_45
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1130,plain,
    ( c2_1(a112)
    | c3_1(a112)
    | ~ spl0_45
    | ~ spl0_111 ),
    inference(resolution,[],[f386,f716]) ).

fof(f386,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f1138,plain,
    ( spl0_114
    | spl0_28
    | ~ spl0_45
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f1136,f1042,f385,f309,f733]) ).

fof(f1136,plain,
    ( c3_1(a111)
    | c2_1(a111)
    | ~ spl0_45
    | ~ spl0_164 ),
    inference(resolution,[],[f386,f1044]) ).

fof(f1121,plain,
    ( spl0_102
    | spl0_171
    | ~ spl0_15
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1114,f888,f255,f1118,f662]) ).

fof(f1114,plain,
    ( c1_1(a101)
    | c0_1(a101)
    | ~ spl0_15
    | ~ spl0_141 ),
    inference(resolution,[],[f890,f256]) ).

fof(f890,plain,
    ( c3_1(a101)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f888]) ).

fof(f1102,plain,
    ( ~ spl0_169
    | spl0_99
    | ~ spl0_44
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1087,f714,f381,f647,f1099]) ).

fof(f1087,plain,
    ( c3_1(a112)
    | ~ c0_1(a112)
    | ~ spl0_44
    | ~ spl0_111 ),
    inference(resolution,[],[f382,f716]) ).

fof(f1064,plain,
    ( spl0_166
    | ~ spl0_150
    | ~ spl0_9
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1059,f757,f234,f937,f1061]) ).

fof(f1059,plain,
    ( ~ c1_1(a128)
    | c3_1(a128)
    | ~ spl0_9
    | ~ spl0_118 ),
    inference(resolution,[],[f759,f235]) ).

fof(f1055,plain,
    ( spl0_112
    | spl0_96
    | ~ spl0_17
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1054,f1047,f261,f632,f719]) ).

fof(f1054,plain,
    ( c1_1(a163)
    | c2_1(a163)
    | ~ spl0_17
    | ~ spl0_165 ),
    inference(resolution,[],[f1049,f262]) ).

fof(f1053,plain,
    ( ~ spl0_163
    | spl0_62
    | ~ spl0_40
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1051,f795,f364,f460,f1025]) ).

fof(f1051,plain,
    ( c1_1(a105)
    | ~ c0_1(a105)
    | ~ spl0_40
    | ~ spl0_125 ),
    inference(resolution,[],[f365,f797]) ).

fof(f797,plain,
    ( c3_1(a105)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f1045,plain,
    ( spl0_164
    | spl0_87
    | ~ spl0_34
    | spl0_114 ),
    inference(avatar_split_clause,[],[f1039,f733,f337,f584,f1042]) ).

fof(f1039,plain,
    ( c0_1(a111)
    | c1_1(a111)
    | ~ spl0_34
    | spl0_114 ),
    inference(resolution,[],[f338,f735]) ).

fof(f1031,plain,
    ( spl0_91
    | spl0_120
    | ~ spl0_17
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1029,f501,f261,f767,f606]) ).

fof(f1029,plain,
    ( c1_1(a187)
    | c2_1(a187)
    | ~ spl0_17
    | ~ spl0_70 ),
    inference(resolution,[],[f262,f503]) ).

fof(f1028,plain,
    ( spl0_62
    | spl0_163
    | ~ spl0_15
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1022,f795,f255,f1025,f460]) ).

fof(f1022,plain,
    ( c0_1(a105)
    | c1_1(a105)
    | ~ spl0_15
    | ~ spl0_125 ),
    inference(resolution,[],[f797,f256]) ).

fof(f1020,plain,
    ( spl0_56
    | ~ spl0_106
    | ~ spl0_16
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1019,f674,f258,f684,f433]) ).

fof(f1019,plain,
    ( ~ c0_1(a106)
    | c2_1(a106)
    | ~ spl0_16
    | ~ spl0_104 ),
    inference(resolution,[],[f259,f676]) ).

fof(f676,plain,
    ( c1_1(a106)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f1004,plain,
    ( spl0_36
    | spl0_131
    | ~ spl0_11
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1002,f506,f240,f830,f344]) ).

fof(f344,plain,
    ( spl0_36
  <=> c3_1(a109) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f830,plain,
    ( spl0_131
  <=> c0_1(a109) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f506,plain,
    ( spl0_71
  <=> c1_1(a109) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1002,plain,
    ( c0_1(a109)
    | c3_1(a109)
    | ~ spl0_11
    | ~ spl0_71 ),
    inference(resolution,[],[f241,f508]) ).

fof(f508,plain,
    ( c1_1(a109)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f1001,plain,
    ( spl0_38
    | spl0_45
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f141,f229,f385,f354]) ).

fof(f354,plain,
    ( spl0_38
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f229,plain,
    ( spl0_8
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f141,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | c2_1(X0)
      | hskp19
      | c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

fof(f1000,plain,
    ( ~ spl0_43
    | spl0_160 ),
    inference(avatar_split_clause,[],[f87,f997,f377]) ).

fof(f377,plain,
    ( spl0_43
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f87,axiom,
    ( c2_1(a101)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f994,plain,
    ( spl0_159
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f64,f389,f991]) ).

fof(f389,plain,
    ( spl0_46
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f64,axiom,
    ( ~ hskp15
    | c0_1(a117) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f989,plain,
    ( spl0_11
    | spl0_12
    | spl0_40
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f190,f229,f364,f244,f240]) ).

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

fof(f987,plain,
    ( spl0_158
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f65,f389,f984]) ).

fof(f65,axiom,
    ( ~ hskp15
    | c3_1(a117) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f982,plain,
    ( spl0_27
    | spl0_40
    | spl0_63
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f155,f229,f464,f364,f305]) ).

fof(f305,plain,
    ( spl0_27
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f464,plain,
    ( spl0_63
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f155,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp4
      | ~ c3_1(X0)
      | hskp10
      | ~ c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f981,plain,
    ( spl0_157
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f69,f328,f978]) ).

fof(f328,plain,
    ( spl0_32
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f69,axiom,
    ( ~ hskp13
    | c2_1(a114) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f976,plain,
    ( spl0_8
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f20,f328,f229]) ).

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

fof(f974,plain,
    ( spl0_37
    | spl0_64
    | ~ spl0_8
    | spl0_58 ),
    inference(avatar_split_clause,[],[f140,f441,f229,f470,f348]) ).

fof(f348,plain,
    ( spl0_37
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f470,plain,
    ( spl0_64
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f140,axiom,
    ! [X0] :
      ( c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp9
      | c3_1(X0)
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f968,plain,
    ( ~ spl0_23
    | spl0_155 ),
    inference(avatar_split_clause,[],[f57,f965,f288]) ).

fof(f288,plain,
    ( spl0_23
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f57,axiom,
    ( c0_1(a139)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f962,plain,
    ( spl0_20
    | spl0_39
    | spl0_1 ),
    inference(avatar_split_clause,[],[f34,f198,f359,f274]) ).

fof(f274,plain,
    ( spl0_20
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f359,plain,
    ( spl0_39
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f198,plain,
    ( spl0_1
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f34,axiom,
    ( hskp30
    | hskp24
    | hskp31 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f961,plain,
    ( ~ spl0_154
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f108,f354,f958]) ).

fof(f108,axiom,
    ( ~ hskp19
    | ~ c2_1(a135) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f956,plain,
    ( ~ spl0_24
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f128,f953,f293]) ).

fof(f293,plain,
    ( spl0_24
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f128,axiom,
    ( ~ c0_1(a108)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f951,plain,
    ( ~ spl0_67
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f104,f948,f485]) ).

fof(f485,plain,
    ( spl0_67
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f104,axiom,
    ( ~ c1_1(a143)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f945,plain,
    ( spl0_151
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f72,f470,f942]) ).

fof(f72,axiom,
    ( ~ hskp9
    | c2_1(a110) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f940,plain,
    ( ~ spl0_66
    | spl0_150 ),
    inference(avatar_split_clause,[],[f48,f937,f481]) ).

fof(f481,plain,
    ( spl0_66
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f48,axiom,
    ( c1_1(a128)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f935,plain,
    ( ~ spl0_149
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f115,f615,f932]) ).

fof(f615,plain,
    ( spl0_93
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f115,axiom,
    ( ~ hskp14
    | ~ c3_1(a116) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f930,plain,
    ( ~ spl0_148
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f103,f454,f927]) ).

fof(f454,plain,
    ( spl0_61
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f103,axiom,
    ( ~ hskp22
    | ~ c2_1(a145) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f923,plain,
    ( ~ spl0_147
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f118,f534,f920]) ).

fof(f534,plain,
    ( spl0_77
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f118,axiom,
    ( ~ hskp12
    | ~ c2_1(a113) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f913,plain,
    ( ~ spl0_7
    | spl0_145 ),
    inference(avatar_split_clause,[],[f62,f910,f224]) ).

fof(f224,plain,
    ( spl0_7
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f62,axiom,
    ( c1_1(a126)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f907,plain,
    ( spl0_66
    | ~ spl0_8
    | spl0_63
    | spl0_16 ),
    inference(avatar_split_clause,[],[f156,f258,f464,f229,f481]) ).

fof(f156,axiom,
    ! [X0] :
      ( ~ c1_1(X0)
      | c2_1(X0)
      | hskp4
      | ~ ndr1_0
      | hskp29
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f906,plain,
    ( ~ spl0_144
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f107,f288,f903]) ).

fof(f107,axiom,
    ( ~ hskp20
    | ~ c3_1(a139) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f901,plain,
    ( ~ spl0_66
    | spl0_143 ),
    inference(avatar_split_clause,[],[f47,f898,f481]) ).

fof(f47,axiom,
    ( c0_1(a128)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f896,plain,
    ( ~ spl0_142
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f111,f265,f893]) ).

fof(f265,plain,
    ( spl0_18
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f111,axiom,
    ( ~ hskp17
    | ~ c0_1(a132) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f891,plain,
    ( ~ spl0_43
    | spl0_141 ),
    inference(avatar_split_clause,[],[f88,f888,f377]) ).

fof(f88,axiom,
    ( c3_1(a101)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f886,plain,
    ( spl0_32
    | spl0_46
    | spl0_6 ),
    inference(avatar_split_clause,[],[f35,f220,f389,f328]) ).

fof(f220,plain,
    ( spl0_6
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f35,axiom,
    ( hskp5
    | hskp15
    | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f885,plain,
    ( ~ spl0_42
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f119,f882,f372]) ).

fof(f372,plain,
    ( spl0_42
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f119,axiom,
    ( ~ c2_1(a112)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f879,plain,
    ( ~ spl0_7
    | spl0_139 ),
    inference(avatar_split_clause,[],[f63,f876,f224]) ).

fof(f63,axiom,
    ( c3_1(a126)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f873,plain,
    ( ~ spl0_20
    | spl0_138 ),
    inference(avatar_split_clause,[],[f41,f870,f274]) ).

fof(f41,axiom,
    ( c0_1(a141)
    | ~ hskp31 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f868,plain,
    ( spl0_137
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f43,f274,f865]) ).

fof(f43,axiom,
    ( ~ hskp31
    | c3_1(a141) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f863,plain,
    ( spl0_136
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f52,f207,f860]) ).

fof(f207,plain,
    ( spl0_3
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f52,axiom,
    ( ~ hskp28
    | c3_1(a118) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f858,plain,
    ( ~ spl0_46
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f114,f855,f389]) ).

fof(f114,axiom,
    ( ~ c1_1(a117)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f853,plain,
    ( ~ spl0_67
    | spl0_134 ),
    inference(avatar_split_clause,[],[f56,f850,f485]) ).

fof(f56,axiom,
    ( c3_1(a143)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f848,plain,
    ( spl0_133
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f74,f293,f845]) ).

fof(f74,axiom,
    ( ~ hskp7
    | c1_1(a108) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f843,plain,
    ( spl0_20
    | spl0_40
    | spl0_3
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f151,f229,f207,f364,f274]) ).

fof(f151,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp28
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c1_1(X0)
      | hskp31 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f842,plain,
    ( ~ spl0_8
    | spl0_7
    | spl0_12
    | spl0_17 ),
    inference(avatar_split_clause,[],[f169,f261,f244,f224,f229]) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c3_1(X0)
      | hskp16
      | c1_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f841,plain,
    ( ~ spl0_132
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f135,f423,f838]) ).

fof(f423,plain,
    ( spl0_54
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f135,axiom,
    ( ~ hskp1
    | ~ c1_1(a102) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f835,plain,
    ( spl0_58
    | spl0_6
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f137,f229,f220,f441]) ).

fof(f137,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp5
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f833,plain,
    ( ~ spl0_37
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f126,f830,f348]) ).

fof(f126,axiom,
    ( ~ c0_1(a109)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f828,plain,
    ( ~ spl0_77
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f117,f825,f534]) ).

fof(f117,axiom,
    ( ~ c0_1(a113)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f822,plain,
    ( spl0_38
    | ~ spl0_8
    | spl0_42
    | spl0_72 ),
    inference(avatar_split_clause,[],[f161,f511,f372,f229,f354]) ).

fof(f161,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | hskp11
      | ~ ndr1_0
      | hskp19
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f820,plain,
    ( ~ spl0_93
    | spl0_129 ),
    inference(avatar_split_clause,[],[f67,f817,f615]) ).

fof(f67,axiom,
    ( c2_1(a116)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f815,plain,
    ( ~ spl0_25
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f133,f812,f297]) ).

fof(f297,plain,
    ( spl0_25
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f133,axiom,
    ( ~ c3_1(a103)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f805,plain,
    ( ~ spl0_8
    | spl0_77
    | spl0_16
    | spl0_9 ),
    inference(avatar_split_clause,[],[f184,f234,f258,f534,f229]) ).

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

fof(f804,plain,
    ( spl0_126
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f85,f297,f801]) ).

fof(f85,axiom,
    ( ~ hskp2
    | c1_1(a103) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f799,plain,
    ( ~ spl0_8
    | spl0_13
    | spl0_24
    | spl0_58 ),
    inference(avatar_split_clause,[],[f139,f441,f293,f247,f229]) ).

fof(f247,plain,
    ( spl0_13
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f139,axiom,
    ! [X0] :
      ( c3_1(X0)
      | c0_1(X0)
      | hskp7
      | hskp6
      | c1_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f798,plain,
    ( ~ spl0_63
    | spl0_125 ),
    inference(avatar_split_clause,[],[f81,f795,f464]) ).

fof(f81,axiom,
    ( c3_1(a105)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f788,plain,
    ( spl0_37
    | spl0_5 ),
    inference(avatar_split_clause,[],[f1,f216,f348]) ).

fof(f216,plain,
    ( spl0_5
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1,axiom,
    ( hskp25
    | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f786,plain,
    ( ~ spl0_123
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f125,f470,f783]) ).

fof(f125,axiom,
    ( ~ hskp9
    | ~ c3_1(a110) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f780,plain,
    ( ~ spl0_8
    | spl0_16
    | spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f174,f265,f261,f258,f229]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( hskp17
      | ~ c0_1(X1)
      | c1_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f770,plain,
    ( ~ spl0_120
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f91,f497,f767]) ).

fof(f497,plain,
    ( spl0_69
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f91,axiom,
    ( ~ hskp26
    | ~ c1_1(a187) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f765,plain,
    ( ~ spl0_18
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f112,f762,f265]) ).

fof(f112,axiom,
    ( ~ c1_1(a132)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f760,plain,
    ( ~ spl0_66
    | spl0_118 ),
    inference(avatar_split_clause,[],[f49,f757,f481]) ).

fof(f49,axiom,
    ( c2_1(a128)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f755,plain,
    ( ~ spl0_8
    | spl0_54
    | spl0_35
    | spl0_72 ),
    inference(avatar_split_clause,[],[f186,f511,f340,f423,f229]) ).

fof(f186,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X1)
      | hskp1
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

fof(f754,plain,
    ( spl0_117
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f58,f354,f751]) ).

fof(f58,axiom,
    ( ~ hskp19
    | c0_1(a135) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f748,plain,
    ( ~ spl0_13
    | spl0_116 ),
    inference(avatar_split_clause,[],[f76,f745,f247]) ).

fof(f76,axiom,
    ( c1_1(a107)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f736,plain,
    ( ~ spl0_114
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f122,f305,f733]) ).

fof(f122,axiom,
    ( ~ hskp10
    | ~ c2_1(a111) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f731,plain,
    ( spl0_113
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f46,f198,f728]) ).

fof(f46,axiom,
    ( ~ hskp30
    | c3_1(a131) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f725,plain,
    ( spl0_47
    | spl0_41
    | spl0_93
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f173,f229,f615,f367,f393]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp14
      | c1_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f723,plain,
    ( ~ spl0_8
    | spl0_15
    | spl0_59
    | spl0_47 ),
    inference(avatar_split_clause,[],[f193,f393,f445,f255,f229]) ).

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

fof(f722,plain,
    ( ~ spl0_39
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f96,f719,f359]) ).

fof(f96,axiom,
    ( ~ c2_1(a163)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f717,plain,
    ( ~ spl0_42
    | spl0_111 ),
    inference(avatar_split_clause,[],[f71,f714,f372]) ).

fof(f71,axiom,
    ( c1_1(a112)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f712,plain,
    ( spl0_110
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f80,f464,f709]) ).

fof(f80,axiom,
    ( ~ hskp4
    | c2_1(a105) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f706,plain,
    ( spl0_27
    | spl0_51
    | spl0_59
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f176,f229,f445,f407,f305]) ).

fof(f176,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | c1_1(X1)
      | ~ c2_1(X1)
      | c0_1(X1)
      | hskp10
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f705,plain,
    ( ~ spl0_8
    | spl0_16
    | spl0_54
    | spl0_39 ),
    inference(avatar_split_clause,[],[f157,f359,f423,f258,f229]) ).

fof(f157,axiom,
    ! [X0] :
      ( hskp24
      | hskp1
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f704,plain,
    ( ~ spl0_1
    | spl0_109 ),
    inference(avatar_split_clause,[],[f44,f701,f198]) ).

fof(f44,axiom,
    ( c0_1(a131)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f698,plain,
    ( spl0_108
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f68,f328,f695]) ).

fof(f68,axiom,
    ( ~ hskp13
    | c1_1(a114) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f693,plain,
    ( ~ spl0_107
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f113,f224,f690]) ).

fof(f113,axiom,
    ( ~ hskp16
    | ~ c2_1(a126) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f688,plain,
    ( spl0_8
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f18,f389,f229]) ).

fof(f18,axiom,
    ( ~ hskp15
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).

fof(f687,plain,
    ( spl0_106
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f78,f220,f684]) ).

fof(f78,axiom,
    ( ~ hskp5
    | c0_1(a106) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f682,plain,
    ( ~ spl0_64
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f124,f679,f470]) ).

fof(f124,axiom,
    ( ~ c1_1(a110)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f677,plain,
    ( spl0_104
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f79,f220,f674]) ).

fof(f79,axiom,
    ( ~ hskp5
    | c1_1(a106) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f672,plain,
    ( ~ spl0_8
    | spl0_46
    | spl0_43
    | spl0_57 ),
    inference(avatar_split_clause,[],[f144,f438,f377,f389,f229]) ).

fof(f144,axiom,
    ! [X0] :
      ( c0_1(X0)
      | c3_1(X0)
      | hskp0
      | hskp15
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f671,plain,
    ( spl0_46
    | ~ spl0_8
    | spl0_3
    | spl0_40 ),
    inference(avatar_split_clause,[],[f152,f364,f207,f229,f389]) ).

fof(f152,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | hskp28
      | ~ ndr1_0
      | hskp15
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f670,plain,
    ( ~ spl0_5
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f94,f667,f216]) ).

fof(f94,axiom,
    ( ~ c2_1(a167)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f665,plain,
    ( ~ spl0_102
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f136,f377,f662]) ).

fof(f136,axiom,
    ( ~ hskp0
    | ~ c0_1(a101) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f660,plain,
    ( ~ spl0_39
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f97,f657,f359]) ).

fof(f97,axiom,
    ( ~ c3_1(a163)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f655,plain,
    ( ~ spl0_5
    | spl0_100 ),
    inference(avatar_split_clause,[],[f55,f652,f216]) ).

fof(f55,axiom,
    ( c1_1(a167)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f650,plain,
    ( ~ spl0_99
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f120,f372,f647]) ).

fof(f120,axiom,
    ( ~ hskp11
    | ~ c3_1(a112) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f636,plain,
    ( spl0_27
    | spl0_46
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_split_clause,[],[f143,f240,f229,f389,f305]) ).

fof(f143,axiom,
    ! [X0] :
      ( c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | hskp15
      | hskp10
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f635,plain,
    ( ~ spl0_39
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f95,f632,f359]) ).

fof(f95,axiom,
    ( ~ c1_1(a163)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f630,plain,
    ( ~ spl0_77
    | spl0_95 ),
    inference(avatar_split_clause,[],[f70,f627,f534]) ).

fof(f70,axiom,
    ( c3_1(a113)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f624,plain,
    ( ~ spl0_54
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f134,f621,f423]) ).

fof(f134,axiom,
    ( ~ c0_1(a102)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f618,plain,
    ( spl0_92
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f66,f615,f611]) ).

fof(f66,axiom,
    ( ~ hskp14
    | c0_1(a116) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f609,plain,
    ( ~ spl0_69
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f92,f606,f497]) ).

fof(f92,axiom,
    ( ~ c2_1(a187)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f604,plain,
    ( spl0_90
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f84,f297,f601]) ).

fof(f84,axiom,
    ( ~ hskp2
    | c0_1(a103) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f592,plain,
    ( ~ spl0_88
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f109,f354,f589]) ).

fof(f109,axiom,
    ( ~ hskp19
    | ~ c3_1(a135) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f587,plain,
    ( ~ spl0_27
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f121,f584,f305]) ).

fof(f121,axiom,
    ( ~ c0_1(a111)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f582,plain,
    ( ~ spl0_13
    | spl0_86 ),
    inference(avatar_split_clause,[],[f77,f579,f247]) ).

fof(f77,axiom,
    ( c2_1(a107)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f572,plain,
    ( ~ spl0_67
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f105,f569,f485]) ).

fof(f105,axiom,
    ( ~ c2_1(a143)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f547,plain,
    ( ~ spl0_13
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f129,f544,f247]) ).

fof(f129,axiom,
    ( ~ c0_1(a107)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f542,plain,
    ( spl0_78
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f50,f207,f539]) ).

fof(f50,axiom,
    ( ~ hskp28
    | c1_1(a118) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f537,plain,
    ( spl0_77
    | spl0_49
    | ~ spl0_8
    | spl0_15 ),
    inference(avatar_split_clause,[],[f171,f255,f229,f400,f534]) ).

fof(f171,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | ~ ndr1_0
      | c1_1(X1)
      | c3_1(X0)
      | hskp12
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f531,plain,
    ( spl0_76
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f86,f423,f528]) ).

fof(f86,axiom,
    ( ~ hskp1
    | c2_1(a102) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f526,plain,
    ( ~ spl0_8
    | spl0_32
    | spl0_59
    | spl0_75 ),
    inference(avatar_split_clause,[],[f172,f524,f445,f328,f229]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( c3_1(X1)
      | ~ c3_1(X0)
      | hskp13
      | ~ ndr1_0
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f522,plain,
    ( spl0_69
    | spl0_42
    | spl0_63 ),
    inference(avatar_split_clause,[],[f39,f464,f372,f497]) ).

fof(f39,axiom,
    ( hskp4
    | hskp11
    | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f521,plain,
    ( ~ spl0_74
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f102,f454,f518]) ).

fof(f102,axiom,
    ( ~ hskp22
    | ~ c1_1(a145) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f509,plain,
    ( spl0_71
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f73,f348,f506]) ).

fof(f73,axiom,
    ( ~ hskp8
    | c1_1(a109) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f504,plain,
    ( ~ spl0_69
    | spl0_70 ),
    inference(avatar_split_clause,[],[f54,f501,f497]) ).

fof(f54,axiom,
    ( c0_1(a187)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f495,plain,
    ( ~ spl0_8
    | spl0_41
    | spl0_49
    | spl0_18 ),
    inference(avatar_split_clause,[],[f181,f265,f400,f367,f229]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( hskp17
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c2_1(X1)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f489,plain,
    ( spl0_66
    | ~ spl0_8
    | spl0_42
    | spl0_48 ),
    inference(avatar_split_clause,[],[f149,f397,f372,f229,f481]) ).

fof(f149,axiom,
    ! [X0] :
      ( ~ c3_1(X0)
      | hskp11
      | ~ ndr1_0
      | c0_1(X0)
      | ~ c2_1(X0)
      | hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f488,plain,
    ( spl0_66
    | spl0_67
    | ~ spl0_8
    | spl0_41 ),
    inference(avatar_split_clause,[],[f150,f367,f229,f485,f481]) ).

fof(f150,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | hskp21
      | hskp29
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f479,plain,
    ( spl0_54
    | ~ spl0_8
    | spl0_34
    | spl0_48 ),
    inference(avatar_split_clause,[],[f164,f397,f337,f229,f423]) ).

fof(f164,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | c1_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f478,plain,
    ( ~ spl0_65
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f101,f454,f475]) ).

fof(f101,axiom,
    ( ~ hskp22
    | ~ c0_1(a145) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f473,plain,
    ( spl0_6
    | spl0_63
    | spl0_64 ),
    inference(avatar_split_clause,[],[f37,f470,f464,f220]) ).

fof(f37,axiom,
    ( hskp9
    | hskp4
    | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f468,plain,
    ( spl0_43
    | spl0_15
    | ~ spl0_8
    | spl0_34 ),
    inference(avatar_split_clause,[],[f163,f337,f229,f255,f377]) ).

fof(f163,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | ~ ndr1_0
      | c1_1(X0)
      | c0_1(X0)
      | c0_1(X1)
      | ~ c3_1(X0)
      | hskp0
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f467,plain,
    ( ~ spl0_62
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f131,f464,f460]) ).

fof(f131,axiom,
    ( ~ hskp4
    | ~ c1_1(a105) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f457,plain,
    ( ~ spl0_8
    | spl0_61
    | spl0_44
    | spl0_40 ),
    inference(avatar_split_clause,[],[f183,f364,f381,f454,f229]) ).

fof(f183,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X1)
      | ~ c0_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | hskp22
      | ~ c3_1(X1)
      | ~ ndr1_0
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f452,plain,
    ( spl0_60
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f75,f293,f449]) ).

fof(f75,axiom,
    ( ~ hskp7
    | c3_1(a108) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f443,plain,
    ( spl0_49
    | ~ spl0_8
    | spl0_57
    | spl0_58 ),
    inference(avatar_split_clause,[],[f187,f441,f438,f229,f400]) ).

fof(f187,axiom,
    ! [X2,X0,X1] :
      ( c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | c3_1(X0)
      | c3_1(X1)
      | c1_1(X2)
      | c3_1(X2)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

fof(f436,plain,
    ( ~ spl0_6
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f130,f433,f220]) ).

fof(f130,axiom,
    ( ~ c2_1(a106)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f409,plain,
    ( spl0_34
    | ~ spl0_8
    | spl0_50
    | spl0_51 ),
    inference(avatar_split_clause,[],[f188,f407,f404,f229,f337]) ).

fof(f188,axiom,
    ! [X2,X0,X1] :
      ( c1_1(X1)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

fof(f402,plain,
    ( spl0_27
    | ~ spl0_8
    | spl0_48
    | spl0_49 ),
    inference(avatar_split_clause,[],[f178,f400,f397,f229,f305]) ).

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

fof(f395,plain,
    ( spl0_3
    | spl0_46
    | ~ spl0_8
    | spl0_47 ),
    inference(avatar_split_clause,[],[f142,f393,f229,f389,f207]) ).

fof(f142,axiom,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | hskp15
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f369,plain,
    ( ~ spl0_8
    | spl0_23
    | spl0_40
    | spl0_41 ),
    inference(avatar_split_clause,[],[f180,f367,f364,f288,f229]) ).

fof(f180,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0)
      | c1_1(X1)
      | hskp20
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f351,plain,
    ( ~ spl0_36
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f127,f348,f344]) ).

fof(f127,axiom,
    ( ~ hskp8
    | ~ c3_1(a109) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f342,plain,
    ( ~ spl0_8
    | spl0_34
    | spl0_35
    | spl0_25 ),
    inference(avatar_split_clause,[],[f165,f297,f340,f337,f229]) ).

fof(f165,axiom,
    ! [X0,X1] :
      ( hskp2
      | ~ c3_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f335,plain,
    ( ~ spl0_32
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f116,f332,f328]) ).

fof(f116,axiom,
    ( ~ c3_1(a114)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f317,plain,
    ( ~ spl0_5
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f93,f314,f216]) ).

fof(f93,axiom,
    ( ~ c0_1(a167)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f312,plain,
    ( ~ spl0_27
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f123,f309,f305]) ).

fof(f123,axiom,
    ( ~ c3_1(a111)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f291,plain,
    ( ~ spl0_22
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f106,f288,f284]) ).

fof(f106,axiom,
    ( ~ hskp20
    | ~ c1_1(a139) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f282,plain,
    ( ~ spl0_6
    | spl0_8 ),
    inference(avatar_split_clause,[],[f28,f229,f220]) ).

fof(f28,axiom,
    ( ndr1_0
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).

fof(f281,plain,
    ( ~ spl0_20
    | spl0_21 ),
    inference(avatar_split_clause,[],[f42,f278,f274]) ).

fof(f42,axiom,
    ( c1_1(a141)
    | ~ hskp31 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f272,plain,
    ( ~ spl0_18
    | spl0_19 ),
    inference(avatar_split_clause,[],[f61,f269,f265]) ).

fof(f61,axiom,
    ( c3_1(a132)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f263,plain,
    ( spl0_15
    | ~ spl0_8
    | spl0_16
    | spl0_17 ),
    inference(avatar_split_clause,[],[f189,f261,f258,f229,f255]) ).

fof(f189,axiom,
    ! [X2,X0,X1] :
      ( c1_1(X1)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X2)
      | ~ c3_1(X2)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).

fof(f253,plain,
    ( ~ spl0_8
    | spl0_12
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f167,f251,f247,f244,f229]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | ~ c1_1(X1)
      | hskp6
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f242,plain,
    ( ~ spl0_8
    | spl0_9
    | spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f191,f240,f237,f234,f229]) ).

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

fof(f214,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f51,f211,f207]) ).

fof(f51,axiom,
    ( c2_1(a118)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f205,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f45,f202,f198]) ).

fof(f45,axiom,
    ( c2_1(a131)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SYN466-1 : TPTP v8.1.0. Released v2.1.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 22:13:46 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.46  % (23589)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)
% 0.18/0.48  % (23592)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)
% 0.18/0.48  Detected maximum model sizes of [32]
% 0.18/0.49  % (23613)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)
% 0.18/0.49  TRYING [1]
% 0.18/0.49  % (23600)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)
% 0.18/0.49  TRYING [2]
% 0.18/0.49  % (23591)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)
% 0.18/0.49  TRYING [3]
% 0.18/0.49  % (23605)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)
% 0.18/0.49  % (23608)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)
% 0.18/0.50  TRYING [4]
% 0.18/0.50  % (23607)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.50  % (23599)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.50  % (23609)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)
% 0.18/0.51  % (23597)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)
% 0.18/0.51  % (23601)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)
% 0.18/0.51  % (23588)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)
% 0.18/0.51  % (23590)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51  % (23587)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)
% 0.18/0.51  % (23593)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.52  % (23595)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)
% 0.18/0.52  % (23586)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)
% 0.18/0.52  % (23614)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.52  % (23594)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.52  % (23594)Instruction limit reached!
% 0.18/0.52  % (23594)------------------------------
% 0.18/0.52  % (23594)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (23594)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (23594)Termination reason: Unknown
% 0.18/0.52  % (23594)Termination phase: Blocked clause elimination
% 0.18/0.52  
% 0.18/0.52  % (23594)Memory used [KB]: 1151
% 0.18/0.52  % (23594)Time elapsed: 0.003 s
% 0.18/0.52  % (23594)Instructions burned: 3 (million)
% 0.18/0.52  % (23594)------------------------------
% 0.18/0.52  % (23594)------------------------------
% 0.18/0.52  % (23593)Instruction limit reached!
% 0.18/0.52  % (23593)------------------------------
% 0.18/0.52  % (23593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (23606)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)
% 0.18/0.53  % (23610)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.53  % (23602)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)
% 0.18/0.53  % (23603)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.45/0.53  % (23596)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.45/0.53  % (23589)First to succeed.
% 1.45/0.53  % (23598)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.45/0.53  % (23611)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.45/0.53  Detected maximum model sizes of [32]
% 1.45/0.53  TRYING [1]
% 1.45/0.54  TRYING [2]
% 1.45/0.54  % (23615)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)
% 1.45/0.54  % (23612)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)
% 1.45/0.54  TRYING [3]
% 1.45/0.54  TRYING [5]
% 1.45/0.54  % (23587)Refutation not found, incomplete strategy% (23587)------------------------------
% 1.45/0.54  % (23587)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54  % (23587)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54  % (23587)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.54  
% 1.45/0.54  % (23587)Memory used [KB]: 6140
% 1.45/0.54  % (23587)Time elapsed: 0.156 s
% 1.45/0.54  % (23587)Instructions burned: 15 (million)
% 1.45/0.54  % (23587)------------------------------
% 1.45/0.54  % (23587)------------------------------
% 1.45/0.54  % (23592)Instruction limit reached!
% 1.45/0.54  % (23592)------------------------------
% 1.45/0.54  % (23592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54  % (23592)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54  % (23592)Termination reason: Unknown
% 1.45/0.54  % (23592)Termination phase: Finite model building constraint generation
% 1.45/0.54  
% 1.45/0.54  % (23592)Memory used [KB]: 6140
% 1.45/0.54  % (23592)Time elapsed: 0.133 s
% 1.45/0.54  % (23592)Instructions burned: 51 (million)
% 1.45/0.54  % (23592)------------------------------
% 1.45/0.54  % (23592)------------------------------
% 1.45/0.54  % (23604)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.45/0.54  % (23593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54  % (23593)Termination reason: Unknown
% 1.45/0.54  % (23593)Termination phase: Saturation
% 1.45/0.54  
% 1.45/0.54  % (23593)Memory used [KB]: 6012
% 1.45/0.54  % (23593)Time elapsed: 0.098 s
% 1.45/0.54  % (23593)Instructions burned: 8 (million)
% 1.45/0.54  % (23593)------------------------------
% 1.45/0.54  % (23593)------------------------------
% 1.57/0.55  Detected maximum model sizes of [32]
% 1.57/0.56  TRYING [4]
% 1.57/0.56  TRYING [1]
% 1.57/0.56  % (23589)Refutation found. Thanks to Tanya!
% 1.57/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.57/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.57/0.56  % (23589)------------------------------
% 1.57/0.56  % (23589)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.56  % (23589)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.56  % (23589)Termination reason: Refutation
% 1.57/0.56  
% 1.57/0.56  % (23589)Memory used [KB]: 6780
% 1.57/0.56  % (23589)Time elapsed: 0.145 s
% 1.57/0.56  % (23589)Instructions burned: 39 (million)
% 1.57/0.56  % (23589)------------------------------
% 1.57/0.56  % (23589)------------------------------
% 1.57/0.56  % (23585)Success in time 0.218 s
%------------------------------------------------------------------------------