TSTP Solution File: SYN486-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN486-1 : 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 19:38:26 EDT 2022

% Result   : Unsatisfiable 0.20s 0.57s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  273
% Syntax   : Number of formulae    :  626 (   1 unt;   0 def)
%            Number of atoms       : 1977 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2290 ( 939   ~;1203   |;   0   &)
%                                         ( 148 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  182 ( 181 usr; 178 prp; 0-1 aty)
%            Number of functors    :   25 (  25 usr;  25 con; 0-0 aty)
%            Number of variables   :  127 ( 127   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2423,plain,
    $false,
    inference(avatar_sat_refutation,[],[f224,f246,f255,f266,f276,f285,f305,f318,f327,f336,f343,f351,f356,f361,f366,f371,f376,f385,f394,f399,f408,f412,f417,f422,f434,f439,f443,f448,f449,f457,f471,f479,f485,f490,f495,f500,f505,f514,f518,f524,f529,f535,f540,f545,f567,f576,f581,f586,f591,f598,f603,f609,f610,f620,f633,f637,f642,f643,f653,f658,f663,f672,f674,f679,f680,f685,f689,f702,f712,f722,f727,f737,f742,f748,f753,f754,f759,f767,f772,f773,f778,f784,f791,f796,f803,f808,f813,f824,f830,f838,f841,f842,f860,f861,f866,f867,f872,f877,f884,f889,f899,f900,f901,f902,f907,f912,f918,f929,f935,f936,f942,f948,f949,f951,f957,f962,f967,f974,f975,f980,f981,f986,f987,f992,f993,f1003,f1025,f1035,f1042,f1047,f1048,f1053,f1054,f1055,f1067,f1081,f1082,f1089,f1092,f1097,f1105,f1144,f1155,f1156,f1175,f1195,f1228,f1230,f1231,f1253,f1257,f1262,f1270,f1275,f1374,f1379,f1415,f1420,f1425,f1434,f1485,f1503,f1530,f1535,f1590,f1595,f1632,f1633,f1634,f1691,f1704,f1705,f1706,f1707,f1738,f1739,f1750,f1766,f1775,f1796,f1828,f1871,f1895,f1958,f1977,f2006,f2009,f2029,f2030,f2066,f2108,f2144,f2148,f2149,f2154,f2155,f2340,f2382,f2383,f2406,f2422]) ).

fof(f2422,plain,
    ( spl0_89
    | ~ spl0_169
    | ~ spl0_72
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f2420,f756,f516,f1152,f600]) ).

fof(f600,plain,
    ( spl0_89
  <=> c1_1(a2197) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1152,plain,
    ( spl0_169
  <=> c0_1(a2197) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f516,plain,
    ( spl0_72
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f756,plain,
    ( spl0_119
  <=> c3_1(a2197) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f2420,plain,
    ( ~ c0_1(a2197)
    | c1_1(a2197)
    | ~ spl0_72
    | ~ spl0_119 ),
    inference(resolution,[],[f758,f517]) ).

fof(f517,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f758,plain,
    ( c3_1(a2197)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f756]) ).

fof(f2406,plain,
    ( spl0_46
    | ~ spl0_102
    | ~ spl0_53
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f2405,f1371,f427,f669,f396]) ).

fof(f396,plain,
    ( spl0_46
  <=> c2_1(a2194) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f669,plain,
    ( spl0_102
  <=> c0_1(a2194) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f427,plain,
    ( spl0_53
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1371,plain,
    ( spl0_177
  <=> c1_1(a2194) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f2405,plain,
    ( ~ c0_1(a2194)
    | c2_1(a2194)
    | ~ spl0_53
    | ~ spl0_177 ),
    inference(resolution,[],[f1373,f428]) ).

fof(f428,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f1373,plain,
    ( c1_1(a2194)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1371]) ).

fof(f2383,plain,
    ( spl0_177
    | ~ spl0_102
    | ~ spl0_72
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2376,f874,f516,f669,f1371]) ).

fof(f874,plain,
    ( spl0_138
  <=> c3_1(a2194) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2376,plain,
    ( ~ c0_1(a2194)
    | c1_1(a2194)
    | ~ spl0_72
    | ~ spl0_138 ),
    inference(resolution,[],[f517,f876]) ).

fof(f876,plain,
    ( c3_1(a2194)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f2382,plain,
    ( ~ spl0_30
    | spl0_92
    | ~ spl0_72
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f2375,f2003,f516,f617,f324]) ).

fof(f324,plain,
    ( spl0_30
  <=> c0_1(a2198) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f617,plain,
    ( spl0_92
  <=> c1_1(a2198) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f2003,plain,
    ( spl0_186
  <=> c3_1(a2198) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f2375,plain,
    ( c1_1(a2198)
    | ~ c0_1(a2198)
    | ~ spl0_72
    | ~ spl0_186 ),
    inference(resolution,[],[f517,f2005]) ).

fof(f2005,plain,
    ( c3_1(a2198)
    | ~ spl0_186 ),
    inference(avatar_component_clause,[],[f2003]) ).

fof(f2340,plain,
    ( spl0_176
    | ~ spl0_113
    | ~ spl0_59
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f2322,f989,f455,f724,f1342]) ).

fof(f1342,plain,
    ( spl0_176
  <=> c3_1(a2188) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f724,plain,
    ( spl0_113
  <=> c0_1(a2188) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f455,plain,
    ( spl0_59
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f989,plain,
    ( spl0_156
  <=> c1_1(a2188) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f2322,plain,
    ( ~ c0_1(a2188)
    | c3_1(a2188)
    | ~ spl0_59
    | ~ spl0_156 ),
    inference(resolution,[],[f456,f991]) ).

fof(f991,plain,
    ( c1_1(a2188)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f989]) ).

fof(f456,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f2155,plain,
    ( spl0_180
    | spl0_100
    | ~ spl0_35
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2123,f827,f346,f660,f1443]) ).

fof(f1443,plain,
    ( spl0_180
  <=> c3_1(a2174) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f660,plain,
    ( spl0_100
  <=> c0_1(a2174) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f346,plain,
    ( spl0_35
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f827,plain,
    ( spl0_131
  <=> c1_1(a2174) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f2123,plain,
    ( c0_1(a2174)
    | c3_1(a2174)
    | ~ spl0_35
    | ~ spl0_131 ),
    inference(resolution,[],[f347,f829]) ).

fof(f829,plain,
    ( c1_1(a2174)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f347,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f2154,plain,
    ( ~ spl0_50
    | ~ spl0_103
    | ~ spl0_1
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f2060,f1376,f202,f676,f414]) ).

fof(f414,plain,
    ( spl0_50
  <=> c3_1(a2180) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f676,plain,
    ( spl0_103
  <=> c0_1(a2180) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

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

fof(f1376,plain,
    ( spl0_178
  <=> c2_1(a2180) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f2060,plain,
    ( ~ c0_1(a2180)
    | ~ c3_1(a2180)
    | ~ spl0_1
    | ~ spl0_178 ),
    inference(resolution,[],[f203,f1378]) ).

fof(f1378,plain,
    ( c2_1(a2180)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f1376]) ).

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

fof(f2149,plain,
    ( spl0_74
    | spl0_96
    | ~ spl0_56
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2141,f1000,f441,f639,f526]) ).

fof(f526,plain,
    ( spl0_74
  <=> c1_1(a2195) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f639,plain,
    ( spl0_96
  <=> c2_1(a2195) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f441,plain,
    ( spl0_56
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1000,plain,
    ( spl0_157
  <=> c0_1(a2195) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f2141,plain,
    ( c2_1(a2195)
    | c1_1(a2195)
    | ~ spl0_56
    | ~ spl0_157 ),
    inference(resolution,[],[f442,f1002]) ).

fof(f1002,plain,
    ( c0_1(a2195)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1000]) ).

fof(f442,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f2148,plain,
    ( spl0_92
    | spl0_104
    | ~ spl0_30
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f2131,f441,f324,f682,f617]) ).

fof(f682,plain,
    ( spl0_104
  <=> c2_1(a2198) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f2131,plain,
    ( c2_1(a2198)
    | c1_1(a2198)
    | ~ spl0_30
    | ~ spl0_56 ),
    inference(resolution,[],[f442,f326]) ).

fof(f326,plain,
    ( c0_1(a2198)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f2144,plain,
    ( spl0_130
    | spl0_155
    | ~ spl0_56
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f2134,f1192,f441,f983,f821]) ).

fof(f821,plain,
    ( spl0_130
  <=> c2_1(a2193) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f983,plain,
    ( spl0_155
  <=> c1_1(a2193) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1192,plain,
    ( spl0_170
  <=> c0_1(a2193) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f2134,plain,
    ( c1_1(a2193)
    | c2_1(a2193)
    | ~ spl0_56
    | ~ spl0_170 ),
    inference(resolution,[],[f442,f1194]) ).

fof(f1194,plain,
    ( c0_1(a2193)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1192]) ).

fof(f2108,plain,
    ( spl0_180
    | spl0_100
    | ~ spl0_18
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2107,f709,f271,f660,f1443]) ).

fof(f271,plain,
    ( spl0_18
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f709,plain,
    ( spl0_110
  <=> c2_1(a2174) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f2107,plain,
    ( c0_1(a2174)
    | c3_1(a2174)
    | ~ spl0_18
    | ~ spl0_110 ),
    inference(resolution,[],[f272,f711]) ).

fof(f711,plain,
    ( c2_1(a2174)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f272,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f2066,plain,
    ( ~ spl0_176
    | ~ spl0_113
    | ~ spl0_1
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2053,f886,f202,f724,f1342]) ).

fof(f886,plain,
    ( spl0_140
  <=> c2_1(a2188) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2053,plain,
    ( ~ c0_1(a2188)
    | ~ c3_1(a2188)
    | ~ spl0_1
    | ~ spl0_140 ),
    inference(resolution,[],[f203,f888]) ).

fof(f888,plain,
    ( c2_1(a2188)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f2030,plain,
    ( spl0_108
    | spl0_66
    | ~ spl0_36
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1905,f1267,f349,f487,f699]) ).

fof(f699,plain,
    ( spl0_108
  <=> c0_1(a2185) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f487,plain,
    ( spl0_66
  <=> c1_1(a2185) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f349,plain,
    ( spl0_36
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2)
        | c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1267,plain,
    ( spl0_173
  <=> c3_1(a2185) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f1905,plain,
    ( c1_1(a2185)
    | c0_1(a2185)
    | ~ spl0_36
    | ~ spl0_173 ),
    inference(resolution,[],[f350,f1269]) ).

fof(f1269,plain,
    ( c3_1(a2185)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1267]) ).

fof(f350,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f2029,plain,
    ( spl0_132
    | spl0_162
    | spl0_69
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1998,f565,f502,f1044,f835]) ).

fof(f835,plain,
    ( spl0_132
  <=> c3_1(a2211) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1044,plain,
    ( spl0_162
  <=> c1_1(a2211) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f502,plain,
    ( spl0_69
  <=> c2_1(a2211) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f565,plain,
    ( spl0_82
  <=> ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1998,plain,
    ( c1_1(a2211)
    | c3_1(a2211)
    | spl0_69
    | ~ spl0_82 ),
    inference(resolution,[],[f566,f504]) ).

fof(f504,plain,
    ( ~ c2_1(a2211)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f566,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f2009,plain,
    ( spl0_74
    | spl0_112
    | ~ spl0_82
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1999,f639,f565,f719,f526]) ).

fof(f719,plain,
    ( spl0_112
  <=> c3_1(a2195) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1999,plain,
    ( c3_1(a2195)
    | c1_1(a2195)
    | ~ spl0_82
    | spl0_96 ),
    inference(resolution,[],[f566,f641]) ).

fof(f641,plain,
    ( ~ c2_1(a2195)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f2006,plain,
    ( spl0_186
    | spl0_92
    | ~ spl0_82
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1989,f682,f565,f617,f2003]) ).

fof(f1989,plain,
    ( c1_1(a2198)
    | c3_1(a2198)
    | ~ spl0_82
    | spl0_104 ),
    inference(resolution,[],[f566,f684]) ).

fof(f684,plain,
    ( ~ c2_1(a2198)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f1977,plain,
    ( ~ spl0_125
    | spl0_175
    | ~ spl0_70
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1969,f543,f507,f1303,f793]) ).

fof(f793,plain,
    ( spl0_125
  <=> c0_1(a2187) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1303,plain,
    ( spl0_175
  <=> c3_1(a2187) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f507,plain,
    ( spl0_70
  <=> c2_1(a2187) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f543,plain,
    ( spl0_77
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1969,plain,
    ( c3_1(a2187)
    | ~ c0_1(a2187)
    | ~ spl0_70
    | ~ spl0_77 ),
    inference(resolution,[],[f544,f509]) ).

fof(f509,plain,
    ( c2_1(a2187)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f544,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f1958,plain,
    ( spl0_41
    | spl0_75
    | ~ spl0_6
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1942,f498,f221,f532,f373]) ).

fof(f373,plain,
    ( spl0_41
  <=> c1_1(a2219) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f532,plain,
    ( spl0_75
  <=> c3_1(a2219) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f221,plain,
    ( spl0_6
  <=> c2_1(a2219) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f498,plain,
    ( spl0_68
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1942,plain,
    ( c3_1(a2219)
    | c1_1(a2219)
    | ~ spl0_6
    | ~ spl0_68 ),
    inference(resolution,[],[f499,f223]) ).

fof(f223,plain,
    ( c2_1(a2219)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f499,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f1895,plain,
    ( spl0_100
    | ~ spl0_180
    | ~ spl0_34
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1892,f709,f341,f1443,f660]) ).

fof(f341,plain,
    ( spl0_34
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1892,plain,
    ( ~ c3_1(a2174)
    | c0_1(a2174)
    | ~ spl0_34
    | ~ spl0_110 ),
    inference(resolution,[],[f342,f711]) ).

fof(f342,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f1871,plain,
    ( spl0_162
    | spl0_142
    | ~ spl0_33
    | spl0_69 ),
    inference(avatar_split_clause,[],[f1863,f502,f338,f896,f1044]) ).

fof(f896,plain,
    ( spl0_142
  <=> c0_1(a2211) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f338,plain,
    ( spl0_33
  <=> ! [X2] :
        ( c1_1(X2)
        | c0_1(X2)
        | c2_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1863,plain,
    ( c0_1(a2211)
    | c1_1(a2211)
    | ~ spl0_33
    | spl0_69 ),
    inference(resolution,[],[f339,f504]) ).

fof(f339,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f1828,plain,
    ( spl0_35
    | ~ spl0_2
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1823,f261,f205,f346]) ).

fof(f205,plain,
    ( spl0_2
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f261,plain,
    ( spl0_15
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f1823,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_2
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f1805]) ).

fof(f1805,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_15 ),
    inference(resolution,[],[f206,f262]) ).

fof(f262,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f206,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f1796,plain,
    ( spl0_142
    | spl0_132
    | ~ spl0_35
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1795,f1044,f346,f835,f896]) ).

fof(f1795,plain,
    ( c3_1(a2211)
    | c0_1(a2211)
    | ~ spl0_35
    | ~ spl0_162 ),
    inference(resolution,[],[f1046,f347]) ).

fof(f1046,plain,
    ( c1_1(a2211)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1044]) ).

fof(f1775,plain,
    ( ~ spl0_115
    | ~ spl0_48
    | ~ spl0_76
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1774,f665,f537,f405,f734]) ).

fof(f734,plain,
    ( spl0_115
  <=> c3_1(a2196) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f405,plain,
    ( spl0_48
  <=> c1_1(a2196) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f537,plain,
    ( spl0_76
  <=> c2_1(a2196) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f665,plain,
    ( spl0_101
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1774,plain,
    ( ~ c1_1(a2196)
    | ~ c3_1(a2196)
    | ~ spl0_76
    | ~ spl0_101 ),
    inference(resolution,[],[f539,f666]) ).

fof(f666,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f539,plain,
    ( c2_1(a2196)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f1766,plain,
    ( spl0_123
    | spl0_21
    | ~ spl0_35
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1764,f739,f346,f282,f781]) ).

fof(f781,plain,
    ( spl0_123
  <=> c3_1(a2176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f282,plain,
    ( spl0_21
  <=> c0_1(a2176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f739,plain,
    ( spl0_116
  <=> c1_1(a2176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1764,plain,
    ( c0_1(a2176)
    | c3_1(a2176)
    | ~ spl0_35
    | ~ spl0_116 ),
    inference(resolution,[],[f741,f347]) ).

fof(f741,plain,
    ( c1_1(a2176)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f739]) ).

fof(f1750,plain,
    ( spl0_44
    | spl0_139
    | ~ spl0_18
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1747,f583,f271,f881,f387]) ).

fof(f387,plain,
    ( spl0_44
  <=> c0_1(a2175) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f881,plain,
    ( spl0_139
  <=> c3_1(a2175) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f583,plain,
    ( spl0_86
  <=> c2_1(a2175) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1747,plain,
    ( c3_1(a2175)
    | c0_1(a2175)
    | ~ spl0_18
    | ~ spl0_86 ),
    inference(resolution,[],[f585,f272]) ).

fof(f585,plain,
    ( c2_1(a2175)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f1739,plain,
    ( spl0_152
    | ~ spl0_125
    | ~ spl0_70
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1735,f551,f507,f793,f964]) ).

fof(f964,plain,
    ( spl0_152
  <=> c1_1(a2187) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f551,plain,
    ( spl0_79
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1735,plain,
    ( ~ c0_1(a2187)
    | c1_1(a2187)
    | ~ spl0_70
    | ~ spl0_79 ),
    inference(resolution,[],[f509,f552]) ).

fof(f552,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f1738,plain,
    ( ~ spl0_175
    | ~ spl0_125
    | ~ spl0_1
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1731,f507,f202,f793,f1303]) ).

fof(f1731,plain,
    ( ~ c0_1(a2187)
    | ~ c3_1(a2187)
    | ~ spl0_1
    | ~ spl0_70 ),
    inference(resolution,[],[f509,f203]) ).

fof(f1707,plain,
    ( spl0_128
    | spl0_159
    | ~ spl0_32
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f1663,f346,f333,f1010,f810]) ).

fof(f810,plain,
    ( spl0_128
  <=> c0_1(a2268) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1010,plain,
    ( spl0_159
  <=> c3_1(a2268) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f333,plain,
    ( spl0_32
  <=> c1_1(a2268) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1663,plain,
    ( c3_1(a2268)
    | c0_1(a2268)
    | ~ spl0_32
    | ~ spl0_35 ),
    inference(resolution,[],[f347,f335]) ).

fof(f335,plain,
    ( c1_1(a2268)
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f1706,plain,
    ( ~ spl0_177
    | spl0_46
    | ~ spl0_105
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1679,f874,f687,f396,f1371]) ).

fof(f687,plain,
    ( spl0_105
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1679,plain,
    ( c2_1(a2194)
    | ~ c1_1(a2194)
    | ~ spl0_105
    | ~ spl0_138 ),
    inference(resolution,[],[f688,f876]) ).

fof(f688,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f1705,plain,
    ( spl0_151
    | ~ spl0_148
    | ~ spl0_12
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1674,f687,f248,f939,f959]) ).

fof(f959,plain,
    ( spl0_151
  <=> c2_1(a2265) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f939,plain,
    ( spl0_148
  <=> c1_1(a2265) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f248,plain,
    ( spl0_12
  <=> c3_1(a2265) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1674,plain,
    ( ~ c1_1(a2265)
    | c2_1(a2265)
    | ~ spl0_12
    | ~ spl0_105 ),
    inference(resolution,[],[f688,f250]) ).

fof(f250,plain,
    ( c3_1(a2265)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f1704,plain,
    ( spl0_54
    | ~ spl0_32
    | ~ spl0_105
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1673,f1010,f687,f333,f431]) ).

fof(f431,plain,
    ( spl0_54
  <=> c2_1(a2268) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f1673,plain,
    ( ~ c1_1(a2268)
    | c2_1(a2268)
    | ~ spl0_105
    | ~ spl0_159 ),
    inference(resolution,[],[f688,f1012]) ).

fof(f1012,plain,
    ( c3_1(a2268)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1010]) ).

fof(f1691,plain,
    ( ~ spl0_136
    | spl0_172
    | ~ spl0_105
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1675,f775,f687,f1250,f863]) ).

fof(f863,plain,
    ( spl0_136
  <=> c1_1(a2262) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1250,plain,
    ( spl0_172
  <=> c2_1(a2262) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f775,plain,
    ( spl0_122
  <=> c3_1(a2262) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1675,plain,
    ( c2_1(a2262)
    | ~ c1_1(a2262)
    | ~ spl0_105
    | ~ spl0_122 ),
    inference(resolution,[],[f688,f777]) ).

fof(f777,plain,
    ( c3_1(a2262)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f1634,plain,
    ( spl0_183
    | ~ spl0_115
    | ~ spl0_34
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1622,f537,f341,f734,f1629]) ).

fof(f1629,plain,
    ( spl0_183
  <=> c0_1(a2196) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f1622,plain,
    ( ~ c3_1(a2196)
    | c0_1(a2196)
    | ~ spl0_34
    | ~ spl0_76 ),
    inference(resolution,[],[f539,f342]) ).

fof(f1633,plain,
    ( ~ spl0_48
    | spl0_183
    | ~ spl0_15
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1619,f537,f261,f1629,f405]) ).

fof(f1619,plain,
    ( c0_1(a2196)
    | ~ c1_1(a2196)
    | ~ spl0_15
    | ~ spl0_76 ),
    inference(resolution,[],[f539,f262]) ).

fof(f1632,plain,
    ( ~ spl0_115
    | ~ spl0_183
    | ~ spl0_1
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1618,f537,f202,f1629,f734]) ).

fof(f1618,plain,
    ( ~ c0_1(a2196)
    | ~ c3_1(a2196)
    | ~ spl0_1
    | ~ spl0_76 ),
    inference(resolution,[],[f539,f203]) ).

fof(f1595,plain,
    ( ~ spl0_85
    | ~ spl0_154
    | ~ spl0_90
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1568,f635,f606,f977,f578]) ).

fof(f578,plain,
    ( spl0_85
  <=> c1_1(a2208) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f977,plain,
    ( spl0_154
  <=> c0_1(a2208) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f606,plain,
    ( spl0_90
  <=> c3_1(a2208) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f635,plain,
    ( spl0_95
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1568,plain,
    ( ~ c0_1(a2208)
    | ~ c1_1(a2208)
    | ~ spl0_90
    | ~ spl0_95 ),
    inference(resolution,[],[f636,f608]) ).

fof(f608,plain,
    ( c3_1(a2208)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f636,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f1590,plain,
    ( ~ spl0_177
    | ~ spl0_102
    | ~ spl0_95
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1577,f874,f635,f669,f1371]) ).

fof(f1577,plain,
    ( ~ c0_1(a2194)
    | ~ c1_1(a2194)
    | ~ spl0_95
    | ~ spl0_138 ),
    inference(resolution,[],[f636,f876]) ).

fof(f1535,plain,
    ( spl0_87
    | ~ spl0_103
    | ~ spl0_50
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1523,f516,f414,f676,f588]) ).

fof(f588,plain,
    ( spl0_87
  <=> c1_1(a2180) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1523,plain,
    ( ~ c0_1(a2180)
    | c1_1(a2180)
    | ~ spl0_50
    | ~ spl0_72 ),
    inference(resolution,[],[f517,f416]) ).

fof(f416,plain,
    ( c3_1(a2180)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f1530,plain,
    ( spl0_155
    | ~ spl0_170
    | ~ spl0_62
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1516,f516,f468,f1192,f983]) ).

fof(f468,plain,
    ( spl0_62
  <=> c3_1(a2193) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f1516,plain,
    ( ~ c0_1(a2193)
    | c1_1(a2193)
    | ~ spl0_62
    | ~ spl0_72 ),
    inference(resolution,[],[f517,f470]) ).

fof(f470,plain,
    ( c3_1(a2193)
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f1503,plain,
    ( ~ spl0_51
    | spl0_28
    | ~ spl0_34
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1502,f945,f341,f315,f419]) ).

fof(f419,plain,
    ( spl0_51
  <=> c3_1(a2182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f315,plain,
    ( spl0_28
  <=> c0_1(a2182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f945,plain,
    ( spl0_149
  <=> c2_1(a2182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1502,plain,
    ( c0_1(a2182)
    | ~ c3_1(a2182)
    | ~ spl0_34
    | ~ spl0_149 ),
    inference(resolution,[],[f342,f947]) ).

fof(f947,plain,
    ( c2_1(a2182)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f945]) ).

fof(f1485,plain,
    ( ~ spl0_32
    | spl0_128
    | ~ spl0_19
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1464,f1010,f274,f810,f333]) ).

fof(f274,plain,
    ( spl0_19
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1464,plain,
    ( c0_1(a2268)
    | ~ c1_1(a2268)
    | ~ spl0_19
    | ~ spl0_159 ),
    inference(resolution,[],[f275,f1012]) ).

fof(f275,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f1434,plain,
    ( spl0_128
    | spl0_54
    | ~ spl0_32
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1431,f410,f333,f431,f810]) ).

fof(f410,plain,
    ( spl0_49
  <=> ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1431,plain,
    ( c2_1(a2268)
    | c0_1(a2268)
    | ~ spl0_32
    | ~ spl0_49 ),
    inference(resolution,[],[f335,f411]) ).

fof(f411,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f1425,plain,
    ( spl0_100
    | ~ spl0_131
    | ~ spl0_15
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1424,f709,f261,f827,f660]) ).

fof(f1424,plain,
    ( ~ c1_1(a2174)
    | c0_1(a2174)
    | ~ spl0_15
    | ~ spl0_110 ),
    inference(resolution,[],[f711,f262]) ).

fof(f1420,plain,
    ( spl0_89
    | ~ spl0_119
    | ~ spl0_63
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1403,f954,f473,f756,f600]) ).

fof(f473,plain,
    ( spl0_63
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f954,plain,
    ( spl0_150
  <=> c2_1(a2197) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1403,plain,
    ( ~ c3_1(a2197)
    | c1_1(a2197)
    | ~ spl0_63
    | ~ spl0_150 ),
    inference(resolution,[],[f474,f956]) ).

fof(f956,plain,
    ( c2_1(a2197)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f954]) ).

fof(f474,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f473]) ).

fof(f1415,plain,
    ( ~ spl0_173
    | spl0_66
    | ~ spl0_63
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1405,f595,f473,f487,f1267]) ).

fof(f595,plain,
    ( spl0_88
  <=> c2_1(a2185) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1405,plain,
    ( c1_1(a2185)
    | ~ c3_1(a2185)
    | ~ spl0_63
    | ~ spl0_88 ),
    inference(resolution,[],[f474,f597]) ).

fof(f597,plain,
    ( c2_1(a2185)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f1379,plain,
    ( spl0_178
    | spl0_87
    | ~ spl0_56
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1366,f676,f441,f588,f1376]) ).

fof(f1366,plain,
    ( c1_1(a2180)
    | c2_1(a2180)
    | ~ spl0_56
    | ~ spl0_103 ),
    inference(resolution,[],[f442,f678]) ).

fof(f678,plain,
    ( c0_1(a2180)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f1374,plain,
    ( spl0_46
    | spl0_177
    | ~ spl0_56
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1363,f669,f441,f1371,f396]) ).

fof(f1363,plain,
    ( c1_1(a2194)
    | c2_1(a2194)
    | ~ spl0_56
    | ~ spl0_102 ),
    inference(resolution,[],[f442,f671]) ).

fof(f671,plain,
    ( c0_1(a2194)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f1275,plain,
    ( ~ spl0_121
    | spl0_99
    | ~ spl0_53
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1272,f1102,f427,f655,f769]) ).

fof(f769,plain,
    ( spl0_121
  <=> c0_1(a2216) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f655,plain,
    ( spl0_99
  <=> c2_1(a2216) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1102,plain,
    ( spl0_166
  <=> c1_1(a2216) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f1272,plain,
    ( c2_1(a2216)
    | ~ c0_1(a2216)
    | ~ spl0_53
    | ~ spl0_166 ),
    inference(resolution,[],[f428,f1104]) ).

fof(f1104,plain,
    ( c1_1(a2216)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1102]) ).

fof(f1270,plain,
    ( spl0_108
    | spl0_173
    | ~ spl0_18
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1263,f595,f271,f1267,f699]) ).

fof(f1263,plain,
    ( c3_1(a2185)
    | c0_1(a2185)
    | ~ spl0_18
    | ~ spl0_88 ),
    inference(resolution,[],[f597,f272]) ).

fof(f1262,plain,
    ( ~ spl0_136
    | spl0_144
    | ~ spl0_15
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1260,f1250,f261,f915,f863]) ).

fof(f915,plain,
    ( spl0_144
  <=> c0_1(a2262) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1260,plain,
    ( c0_1(a2262)
    | ~ c1_1(a2262)
    | ~ spl0_15
    | ~ spl0_172 ),
    inference(resolution,[],[f1252,f262]) ).

fof(f1252,plain,
    ( c2_1(a2262)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1250]) ).

fof(f1257,plain,
    ( spl0_21
    | ~ spl0_116
    | ~ spl0_15
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f1255,f1078,f261,f739,f282]) ).

fof(f1078,plain,
    ( spl0_164
  <=> c2_1(a2176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f1255,plain,
    ( ~ c1_1(a2176)
    | c0_1(a2176)
    | ~ spl0_15
    | ~ spl0_164 ),
    inference(resolution,[],[f1080,f262]) ).

fof(f1080,plain,
    ( c2_1(a2176)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1078]) ).

fof(f1253,plain,
    ( spl0_172
    | spl0_144
    | ~ spl0_49
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1234,f863,f410,f915,f1250]) ).

fof(f1234,plain,
    ( c0_1(a2262)
    | c2_1(a2262)
    | ~ spl0_49
    | ~ spl0_136 ),
    inference(resolution,[],[f411,f865]) ).

fof(f865,plain,
    ( c1_1(a2262)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f863]) ).

fof(f1231,plain,
    ( spl0_98
    | spl0_146
    | ~ spl0_36
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1220,f805,f349,f926,f650]) ).

fof(f650,plain,
    ( spl0_98
  <=> c1_1(a2186) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f926,plain,
    ( spl0_146
  <=> c0_1(a2186) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f805,plain,
    ( spl0_127
  <=> c3_1(a2186) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1220,plain,
    ( c0_1(a2186)
    | c1_1(a2186)
    | ~ spl0_36
    | ~ spl0_127 ),
    inference(resolution,[],[f350,f807]) ).

fof(f807,plain,
    ( c3_1(a2186)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f1230,plain,
    ( spl0_89
    | spl0_169
    | ~ spl0_36
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1216,f756,f349,f1152,f600]) ).

fof(f1216,plain,
    ( c0_1(a2197)
    | c1_1(a2197)
    | ~ spl0_36
    | ~ spl0_119 ),
    inference(resolution,[],[f350,f758]) ).

fof(f1228,plain,
    ( spl0_155
    | spl0_170
    | ~ spl0_36
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f1218,f468,f349,f1192,f983]) ).

fof(f1218,plain,
    ( c0_1(a2193)
    | c1_1(a2193)
    | ~ spl0_36
    | ~ spl0_62 ),
    inference(resolution,[],[f350,f470]) ).

fof(f1195,plain,
    ( spl0_155
    | spl0_170
    | ~ spl0_33
    | spl0_130 ),
    inference(avatar_split_clause,[],[f1183,f821,f338,f1192,f983]) ).

fof(f1183,plain,
    ( c0_1(a2193)
    | c1_1(a2193)
    | ~ spl0_33
    | spl0_130 ),
    inference(resolution,[],[f339,f823]) ).

fof(f823,plain,
    ( ~ c2_1(a2193)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f1175,plain,
    ( spl0_169
    | ~ spl0_119
    | ~ spl0_34
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1171,f954,f341,f756,f1152]) ).

fof(f1171,plain,
    ( ~ c3_1(a2197)
    | c0_1(a2197)
    | ~ spl0_34
    | ~ spl0_150 ),
    inference(resolution,[],[f342,f956]) ).

fof(f1156,plain,
    ( spl0_169
    | spl0_89
    | ~ spl0_16
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1149,f954,f264,f600,f1152]) ).

fof(f264,plain,
    ( spl0_16
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1149,plain,
    ( c1_1(a2197)
    | c0_1(a2197)
    | ~ spl0_16
    | ~ spl0_150 ),
    inference(resolution,[],[f956,f265]) ).

fof(f265,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f1155,plain,
    ( ~ spl0_119
    | ~ spl0_169
    | ~ spl0_1
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1150,f954,f202,f1152,f756]) ).

fof(f1150,plain,
    ( ~ c0_1(a2197)
    | ~ c3_1(a2197)
    | ~ spl0_1
    | ~ spl0_150 ),
    inference(resolution,[],[f956,f203]) ).

fof(f1144,plain,
    ( spl0_118
    | spl0_57
    | ~ spl0_17
    | spl0_73 ),
    inference(avatar_split_clause,[],[f1143,f521,f268,f445,f750]) ).

fof(f750,plain,
    ( spl0_118
  <=> c0_1(a2177) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f445,plain,
    ( spl0_57
  <=> c1_1(a2177) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f268,plain,
    ( spl0_17
  <=> ! [X2] :
        ( c1_1(X2)
        | c0_1(X2)
        | c3_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f521,plain,
    ( spl0_73
  <=> c3_1(a2177) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1143,plain,
    ( c1_1(a2177)
    | c0_1(a2177)
    | ~ spl0_17
    | spl0_73 ),
    inference(resolution,[],[f269,f523]) ).

fof(f523,plain,
    ( ~ c3_1(a2177)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f269,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f1105,plain,
    ( spl0_143
    | spl0_166
    | ~ spl0_27
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1100,f769,f311,f1102,f904]) ).

fof(f904,plain,
    ( spl0_143
  <=> c3_1(a2216) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f311,plain,
    ( spl0_27
  <=> ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1100,plain,
    ( c1_1(a2216)
    | c3_1(a2216)
    | ~ spl0_27
    | ~ spl0_121 ),
    inference(resolution,[],[f771,f312]) ).

fof(f312,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f771,plain,
    ( c0_1(a2216)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f1097,plain,
    ( ~ spl0_137
    | ~ spl0_67
    | ~ spl0_1
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f1096,f302,f202,f492,f869]) ).

fof(f869,plain,
    ( spl0_137
  <=> c0_1(a2178) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f492,plain,
    ( spl0_67
  <=> c3_1(a2178) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f302,plain,
    ( spl0_25
  <=> c2_1(a2178) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f1096,plain,
    ( ~ c3_1(a2178)
    | ~ c0_1(a2178)
    | ~ spl0_1
    | ~ spl0_25 ),
    inference(resolution,[],[f304,f203]) ).

fof(f304,plain,
    ( c2_1(a2178)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f1092,plain,
    ( spl0_55
    | spl0_38
    | ~ spl0_27
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1091,f932,f311,f358,f436]) ).

fof(f436,plain,
    ( spl0_55
  <=> c1_1(a2191) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f358,plain,
    ( spl0_38
  <=> c3_1(a2191) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f932,plain,
    ( spl0_147
  <=> c0_1(a2191) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1091,plain,
    ( c3_1(a2191)
    | c1_1(a2191)
    | ~ spl0_27
    | ~ spl0_147 ),
    inference(resolution,[],[f934,f312]) ).

fof(f934,plain,
    ( c0_1(a2191)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f932]) ).

fof(f1089,plain,
    ( spl0_54
    | spl0_159
    | ~ spl0_11
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f1068,f333,f244,f1010,f431]) ).

fof(f244,plain,
    ( spl0_11
  <=> ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f1068,plain,
    ( c3_1(a2268)
    | c2_1(a2268)
    | ~ spl0_11
    | ~ spl0_32 ),
    inference(resolution,[],[f245,f335]) ).

fof(f245,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f1082,plain,
    ( spl0_132
    | spl0_69
    | ~ spl0_11
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1074,f1044,f244,f502,f835]) ).

fof(f1074,plain,
    ( c2_1(a2211)
    | c3_1(a2211)
    | ~ spl0_11
    | ~ spl0_162 ),
    inference(resolution,[],[f245,f1046]) ).

fof(f1081,plain,
    ( spl0_164
    | spl0_123
    | ~ spl0_11
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1072,f739,f244,f781,f1078]) ).

fof(f1072,plain,
    ( c3_1(a2176)
    | c2_1(a2176)
    | ~ spl0_11
    | ~ spl0_116 ),
    inference(resolution,[],[f245,f741]) ).

fof(f1067,plain,
    ( spl0_144
    | ~ spl0_136
    | ~ spl0_19
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1064,f775,f274,f863,f915]) ).

fof(f1064,plain,
    ( ~ c1_1(a2262)
    | c0_1(a2262)
    | ~ spl0_19
    | ~ spl0_122 ),
    inference(resolution,[],[f275,f777]) ).

fof(f1055,plain,
    ( spl0_75
    | spl0_161
    | ~ spl0_6
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f1049,f271,f221,f1031,f532]) ).

fof(f1031,plain,
    ( spl0_161
  <=> c0_1(a2219) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f1049,plain,
    ( c0_1(a2219)
    | c3_1(a2219)
    | ~ spl0_6
    | ~ spl0_18 ),
    inference(resolution,[],[f272,f223]) ).

fof(f1054,plain,
    ( spl0_74
    | spl0_112
    | ~ spl0_27
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1052,f1000,f311,f719,f526]) ).

fof(f1052,plain,
    ( c3_1(a2195)
    | c1_1(a2195)
    | ~ spl0_27
    | ~ spl0_157 ),
    inference(resolution,[],[f312,f1002]) ).

fof(f1053,plain,
    ( spl0_41
    | spl0_75
    | ~ spl0_27
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1051,f1031,f311,f532,f373]) ).

fof(f1051,plain,
    ( c3_1(a2219)
    | c1_1(a2219)
    | ~ spl0_27
    | ~ spl0_161 ),
    inference(resolution,[],[f312,f1033]) ).

fof(f1033,plain,
    ( c0_1(a2219)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1031]) ).

fof(f1048,plain,
    ( spl0_157
    | spl0_74
    | ~ spl0_17
    | spl0_112 ),
    inference(avatar_split_clause,[],[f1041,f719,f268,f526,f1000]) ).

fof(f1041,plain,
    ( c1_1(a2195)
    | c0_1(a2195)
    | ~ spl0_17
    | spl0_112 ),
    inference(resolution,[],[f269,f721]) ).

fof(f721,plain,
    ( ~ c3_1(a2195)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f1047,plain,
    ( spl0_142
    | spl0_162
    | ~ spl0_17
    | spl0_132 ),
    inference(avatar_split_clause,[],[f1040,f835,f268,f1044,f896]) ).

fof(f1040,plain,
    ( c1_1(a2211)
    | c0_1(a2211)
    | ~ spl0_17
    | spl0_132 ),
    inference(resolution,[],[f269,f837]) ).

fof(f837,plain,
    ( ~ c3_1(a2211)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f835]) ).

fof(f1042,plain,
    ( spl0_160
    | spl0_44
    | ~ spl0_17
    | spl0_139 ),
    inference(avatar_split_clause,[],[f1039,f881,f268,f387,f1022]) ).

fof(f1022,plain,
    ( spl0_160
  <=> c1_1(a2175) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1039,plain,
    ( c0_1(a2175)
    | c1_1(a2175)
    | ~ spl0_17
    | spl0_139 ),
    inference(resolution,[],[f269,f883]) ).

fof(f883,plain,
    ( ~ c3_1(a2175)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f1035,plain,
    ( spl0_66
    | spl0_108
    | ~ spl0_16
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1027,f595,f264,f699,f487]) ).

fof(f1027,plain,
    ( c0_1(a2185)
    | c1_1(a2185)
    | ~ spl0_16
    | ~ spl0_88 ),
    inference(resolution,[],[f265,f597]) ).

fof(f1025,plain,
    ( spl0_44
    | ~ spl0_160
    | ~ spl0_15
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1020,f583,f261,f1022,f387]) ).

fof(f1020,plain,
    ( ~ c1_1(a2175)
    | c0_1(a2175)
    | ~ spl0_15
    | ~ spl0_86 ),
    inference(resolution,[],[f262,f585]) ).

fof(f1003,plain,
    ( spl0_157
    | spl0_112
    | ~ spl0_2
    | spl0_96 ),
    inference(avatar_split_clause,[],[f998,f639,f205,f719,f1000]) ).

fof(f998,plain,
    ( c3_1(a2195)
    | c0_1(a2195)
    | ~ spl0_2
    | spl0_96 ),
    inference(resolution,[],[f206,f641]) ).

fof(f993,plain,
    ( ~ spl0_81
    | spl0_4 ),
    inference(avatar_split_clause,[],[f27,f212,f560]) ).

fof(f560,plain,
    ( spl0_81
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f212,plain,
    ( spl0_4
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f27,axiom,
    ( ndr1_0
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).

fof(f992,plain,
    ( ~ spl0_3
    | spl0_156 ),
    inference(avatar_split_clause,[],[f49,f989,f208]) ).

fof(f208,plain,
    ( spl0_3
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f49,axiom,
    ( c1_1(a2188)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f987,plain,
    ( spl0_45
    | spl0_71
    | ~ spl0_4
    | spl0_1 ),
    inference(avatar_split_clause,[],[f153,f202,f212,f511,f391]) ).

fof(f391,plain,
    ( spl0_45
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f511,plain,
    ( spl0_71
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f153,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp11
      | hskp1
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f986,plain,
    ( ~ spl0_40
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f111,f983,f368]) ).

fof(f368,plain,
    ( spl0_40
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f111,axiom,
    ( ~ c1_1(a2193)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f981,plain,
    ( spl0_9
    | spl0_24
    | spl0_40 ),
    inference(avatar_split_clause,[],[f37,f368,f296,f236]) ).

fof(f236,plain,
    ( spl0_9
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f296,plain,
    ( spl0_24
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f37,axiom,
    ( hskp14
    | hskp24
    | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f980,plain,
    ( spl0_154
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f42,f481,f977]) ).

fof(f481,plain,
    ( spl0_65
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f42,axiom,
    ( ~ hskp30
    | c0_1(a2208) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f975,plain,
    ( ~ spl0_4
    | spl0_79
    | spl0_82
    | spl0_17 ),
    inference(avatar_split_clause,[],[f187,f268,f565,f551,f212]) ).

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

fof(f974,plain,
    ( ~ spl0_4
    | spl0_15
    | spl0_29
    | spl0_27 ),
    inference(avatar_split_clause,[],[f173,f311,f320,f261,f212]) ).

fof(f320,plain,
    ( spl0_29
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( c1_1(X0)
      | c3_1(X0)
      | hskp18
      | ~ c2_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f967,plain,
    ( ~ spl0_152
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f117,f511,f964]) ).

fof(f117,axiom,
    ( ~ hskp11
    | ~ c1_1(a2187) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f962,plain,
    ( ~ spl0_13
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f91,f959,f252]) ).

fof(f252,plain,
    ( spl0_13
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f91,axiom,
    ( ~ c2_1(a2265)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f957,plain,
    ( ~ spl0_39
    | spl0_150 ),
    inference(avatar_split_clause,[],[f64,f954,f363]) ).

fof(f363,plain,
    ( spl0_39
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f64,axiom,
    ( c2_1(a2197)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f951,plain,
    ( spl0_4
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f23,f569,f212]) ).

fof(f569,plain,
    ( spl0_83
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f23,axiom,
    ( ~ hskp8
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).

fof(f949,plain,
    ( spl0_14
    | spl0_105
    | spl0_15
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f178,f212,f261,f687,f257]) ).

fof(f257,plain,
    ( spl0_14
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | hskp27
      | ~ c3_1(X0)
      | c2_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f948,plain,
    ( ~ spl0_7
    | spl0_149 ),
    inference(avatar_split_clause,[],[f77,f945,f226]) ).

fof(f226,plain,
    ( spl0_7
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f77,axiom,
    ( c2_1(a2182)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f942,plain,
    ( ~ spl0_13
    | spl0_148 ),
    inference(avatar_split_clause,[],[f55,f939,f252]) ).

fof(f55,axiom,
    ( c1_1(a2265)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f936,plain,
    ( ~ spl0_4
    | spl0_5
    | spl0_14
    | spl0_95 ),
    inference(avatar_split_clause,[],[f152,f635,f257,f217,f212]) ).

fof(f217,plain,
    ( spl0_5
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f152,axiom,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ c0_1(X0)
      | hskp27
      | hskp22
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f935,plain,
    ( ~ spl0_9
    | spl0_147 ),
    inference(avatar_split_clause,[],[f69,f932,f236]) ).

fof(f69,axiom,
    ( c0_1(a2191)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f929,plain,
    ( ~ spl0_146
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f118,f612,f926]) ).

fof(f612,plain,
    ( spl0_91
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f118,axiom,
    ( ~ hskp10
    | ~ c0_1(a2186) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f918,plain,
    ( ~ spl0_24
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f92,f915,f296]) ).

fof(f92,axiom,
    ( ~ c0_1(a2262)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f912,plain,
    ( spl0_7
    | ~ spl0_4
    | spl0_36
    | spl0_18 ),
    inference(avatar_split_clause,[],[f160,f271,f349,f212,f226]) ).

fof(f160,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | hskp7
      | c1_1(X1)
      | ~ c3_1(X1)
      | c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f907,plain,
    ( ~ spl0_78
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f99,f904,f547]) ).

fof(f547,plain,
    ( spl0_78
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f99,axiom,
    ( ~ c3_1(a2216)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f902,plain,
    ( ~ spl0_4
    | spl0_2
    | spl0_72
    | spl0_71 ),
    inference(avatar_split_clause,[],[f161,f511,f516,f205,f212]) ).

fof(f161,axiom,
    ! [X0,X1] :
      ( hskp11
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f901,plain,
    ( spl0_9
    | ~ spl0_4
    | spl0_10
    | spl0_72 ),
    inference(avatar_split_clause,[],[f147,f516,f240,f212,f236]) ).

fof(f240,plain,
    ( spl0_10
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f147,axiom,
    ! [X0] :
      ( c1_1(X0)
      | ~ c0_1(X0)
      | hskp16
      | ~ ndr1_0
      | ~ c3_1(X0)
      | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f900,plain,
    ( spl0_68
    | spl0_95
    | ~ spl0_4
    | spl0_59 ),
    inference(avatar_split_clause,[],[f200,f455,f212,f635,f498]) ).

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

fof(f899,plain,
    ( ~ spl0_43
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f101,f896,f382]) ).

fof(f382,plain,
    ( spl0_43
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f101,axiom,
    ( ~ c0_1(a2211)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f889,plain,
    ( ~ spl0_3
    | spl0_140 ),
    inference(avatar_split_clause,[],[f50,f886,f208]) ).

fof(f50,axiom,
    ( c2_1(a2188)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f884,plain,
    ( ~ spl0_45
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f133,f881,f391]) ).

fof(f133,axiom,
    ( ~ c3_1(a2175)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f877,plain,
    ( spl0_138
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f67,f231,f874]) ).

fof(f231,plain,
    ( spl0_8
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f67,axiom,
    ( ~ hskp15
    | c3_1(a2194) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f872,plain,
    ( ~ spl0_14
    | spl0_137 ),
    inference(avatar_split_clause,[],[f51,f869,f257]) ).

fof(f51,axiom,
    ( c0_1(a2178)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f867,plain,
    ( spl0_65
    | ~ spl0_4
    | spl0_45
    | spl0_56 ),
    inference(avatar_split_clause,[],[f140,f441,f391,f212,f481]) ).

fof(f140,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | hskp1
      | ~ ndr1_0
      | c2_1(X0)
      | c1_1(X0)
      | hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f866,plain,
    ( spl0_136
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f57,f296,f863]) ).

fof(f57,axiom,
    ( ~ hskp24
    | c1_1(a2262) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f861,plain,
    ( spl0_20
    | spl0_101
    | spl0_34
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f183,f212,f341,f665,f278]) ).

fof(f278,plain,
    ( spl0_20
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f183,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | hskp2
      | c0_1(X1)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f860,plain,
    ( spl0_27
    | spl0_64
    | spl0_8
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f142,f212,f231,f476,f311]) ).

fof(f476,plain,
    ( spl0_64
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f142,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp15
      | hskp0
      | c3_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f842,plain,
    ( spl0_4
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f8,f573,f212]) ).

fof(f573,plain,
    ( spl0_84
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f8,axiom,
    ( ~ hskp23
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

fof(f841,plain,
    ( spl0_39
    | spl0_53
    | spl0_91
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f148,f212,f612,f427,f363]) ).

fof(f148,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp10
      | c2_1(X0)
      | hskp17
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f838,plain,
    ( ~ spl0_43
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f103,f835,f382]) ).

fof(f103,axiom,
    ( ~ c3_1(a2211)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f830,plain,
    ( spl0_131
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f87,f476,f827]) ).

fof(f87,axiom,
    ( ~ hskp0
    | c1_1(a2174) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f824,plain,
    ( ~ spl0_130
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f112,f368,f821]) ).

fof(f112,axiom,
    ( ~ hskp14
    | ~ c2_1(a2193) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f813,plain,
    ( ~ spl0_128
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f89,f329,f810]) ).

fof(f329,plain,
    ( spl0_31
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f89,axiom,
    ( ~ hskp26
    | ~ c0_1(a2268) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f808,plain,
    ( spl0_127
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f73,f612,f805]) ).

fof(f73,axiom,
    ( ~ hskp10
    | c3_1(a2186) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f803,plain,
    ( spl0_78
    | spl0_5
    | spl0_13 ),
    inference(avatar_split_clause,[],[f38,f252,f217,f547]) ).

fof(f38,axiom,
    ( hskp25
    | hskp22
    | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f796,plain,
    ( spl0_125
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f71,f511,f793]) ).

fof(f71,axiom,
    ( ~ hskp11
    | c0_1(a2187) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f791,plain,
    ( spl0_10
    | spl0_43
    | spl0_42 ),
    inference(avatar_split_clause,[],[f34,f378,f382,f240]) ).

fof(f378,plain,
    ( spl0_42
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f34,axiom,
    ( hskp5
    | hskp19
    | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f784,plain,
    ( ~ spl0_123
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f131,f278,f781]) ).

fof(f131,axiom,
    ( ~ hskp2
    | ~ c3_1(a2176) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f778,plain,
    ( ~ spl0_24
    | spl0_122 ),
    inference(avatar_split_clause,[],[f58,f775,f296]) ).

fof(f58,axiom,
    ( c3_1(a2262)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f773,plain,
    ( ~ spl0_4
    | spl0_91
    | spl0_79
    | spl0_63 ),
    inference(avatar_split_clause,[],[f181,f473,f551,f612,f212]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( c1_1(X0)
      | ~ c0_1(X1)
      | hskp10
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f772,plain,
    ( ~ spl0_78
    | spl0_121 ),
    inference(avatar_split_clause,[],[f60,f769,f547]) ).

fof(f60,axiom,
    ( c0_1(a2216)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f767,plain,
    ( spl0_47
    | spl0_56
    | ~ spl0_4
    | spl0_34 ),
    inference(avatar_split_clause,[],[f175,f341,f212,f441,f401]) ).

fof(f401,plain,
    ( spl0_47
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f175,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | hskp29
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f759,plain,
    ( spl0_119
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f65,f363,f756]) ).

fof(f65,axiom,
    ( ~ hskp17
    | c3_1(a2197) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f754,plain,
    ( spl0_58
    | spl0_20
    | spl0_24 ),
    inference(avatar_split_clause,[],[f40,f296,f278,f451]) ).

fof(f451,plain,
    ( spl0_58
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f40,axiom,
    ( hskp24
    | hskp2
    | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f753,plain,
    ( ~ spl0_37
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f127,f750,f353]) ).

fof(f353,plain,
    ( spl0_37
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f127,axiom,
    ( ~ c0_1(a2177)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f748,plain,
    ( spl0_39
    | ~ spl0_4
    | spl0_47
    | spl0_35 ),
    inference(avatar_split_clause,[],[f139,f346,f401,f212,f363]) ).

fof(f139,axiom,
    ! [X0] :
      ( ~ c1_1(X0)
      | hskp29
      | ~ ndr1_0
      | c3_1(X0)
      | c0_1(X0)
      | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f742,plain,
    ( ~ spl0_20
    | spl0_116 ),
    inference(avatar_split_clause,[],[f85,f739,f278]) ).

fof(f85,axiom,
    ( c1_1(a2176)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f737,plain,
    ( spl0_115
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f47,f401,f734]) ).

fof(f47,axiom,
    ( ~ hskp29
    | c3_1(a2196) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f727,plain,
    ( spl0_113
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f48,f208,f724]) ).

fof(f48,axiom,
    ( ~ hskp28
    | c0_1(a2188) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f722,plain,
    ( ~ spl0_112
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f109,f240,f719]) ).

fof(f109,axiom,
    ( ~ hskp16
    | ~ c3_1(a2195) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f712,plain,
    ( spl0_110
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f88,f476,f709]) ).

fof(f88,axiom,
    ( ~ hskp0
    | c2_1(a2174) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f702,plain,
    ( ~ spl0_108
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f120,f451,f699]) ).

fof(f120,axiom,
    ( ~ hskp9
    | ~ c0_1(a2185) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f689,plain,
    ( spl0_64
    | ~ spl0_4
    | spl0_36
    | spl0_105 ),
    inference(avatar_split_clause,[],[f168,f687,f349,f212,f476]) ).

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

fof(f685,plain,
    ( ~ spl0_29
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f105,f682,f320]) ).

fof(f105,axiom,
    ( ~ c2_1(a2198)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f680,plain,
    ( ~ spl0_4
    | spl0_43
    | spl0_9
    | spl0_101 ),
    inference(avatar_split_clause,[],[f155,f665,f236,f382,f212]) ).

fof(f155,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | hskp13
      | ~ c1_1(X0)
      | hskp19
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f679,plain,
    ( spl0_103
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f81,f378,f676]) ).

fof(f81,axiom,
    ( ~ hskp5
    | c0_1(a2180) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f674,plain,
    ( spl0_9
    | spl0_91
    | spl0_64 ),
    inference(avatar_split_clause,[],[f36,f476,f612,f236]) ).

fof(f36,axiom,
    ( hskp0
    | hskp10
    | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f672,plain,
    ( spl0_102
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f66,f231,f669]) ).

fof(f66,axiom,
    ( ~ hskp15
    | c0_1(a2194) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f663,plain,
    ( ~ spl0_100
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f134,f476,f660]) ).

fof(f134,axiom,
    ( ~ hskp0
    | ~ c0_1(a2174) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f658,plain,
    ( ~ spl0_99
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f98,f547,f655]) ).

fof(f98,axiom,
    ( ~ hskp21
    | ~ c2_1(a2216) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f653,plain,
    ( ~ spl0_91
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f119,f650,f612]) ).

fof(f119,axiom,
    ( ~ c1_1(a2186)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f643,plain,
    ( ~ spl0_4
    | spl0_82
    | spl0_1
    | spl0_72 ),
    inference(avatar_split_clause,[],[f197,f516,f202,f565,f212]) ).

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

fof(f642,plain,
    ( ~ spl0_10
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f108,f639,f240]) ).

fof(f108,axiom,
    ( ~ c2_1(a2195)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f637,plain,
    ( ~ spl0_4
    | spl0_15
    | spl0_16
    | spl0_95 ),
    inference(avatar_split_clause,[],[f198,f635,f264,f261,f212]) ).

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

fof(f633,plain,
    ( spl0_10
    | spl0_37
    | spl0_39 ),
    inference(avatar_split_clause,[],[f41,f363,f353,f240]) ).

fof(f41,axiom,
    ( hskp17
    | hskp3
    | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f620,plain,
    ( ~ spl0_29
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f104,f617,f320]) ).

fof(f104,axiom,
    ( ~ c1_1(a2198)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f610,plain,
    ( ~ spl0_4
    | spl0_82
    | spl0_36
    | spl0_15 ),
    inference(avatar_split_clause,[],[f192,f261,f349,f565,f212]) ).

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

fof(f609,plain,
    ( spl0_90
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f44,f481,f606]) ).

fof(f44,axiom,
    ( ~ hskp30
    | c3_1(a2208) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f603,plain,
    ( ~ spl0_89
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f106,f363,f600]) ).

fof(f106,axiom,
    ( ~ hskp17
    | ~ c1_1(a2197) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f598,plain,
    ( spl0_88
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f74,f451,f595]) ).

fof(f74,axiom,
    ( ~ hskp9
    | c2_1(a2185) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f591,plain,
    ( ~ spl0_42
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f125,f588,f378]) ).

fof(f125,axiom,
    ( ~ c1_1(a2180)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f586,plain,
    ( spl0_86
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f86,f391,f583]) ).

fof(f86,axiom,
    ( ~ hskp1
    | c2_1(a2175) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f581,plain,
    ( ~ spl0_65
    | spl0_85 ),
    inference(avatar_split_clause,[],[f43,f578,f481]) ).

fof(f43,axiom,
    ( c1_1(a2208)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f576,plain,
    ( spl0_81
    | spl0_83
    | spl0_84 ),
    inference(avatar_split_clause,[],[f32,f573,f569,f560]) ).

fof(f32,axiom,
    ( hskp23
    | hskp8
    | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

fof(f567,plain,
    ( spl0_3
    | spl0_27
    | ~ spl0_4
    | spl0_82 ),
    inference(avatar_split_clause,[],[f156,f565,f212,f311,f208]) ).

fof(f156,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | c3_1(X1)
      | hskp28
      | c1_1(X1)
      | c3_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f545,plain,
    ( ~ spl0_4
    | spl0_56
    | spl0_77
    | spl0_34 ),
    inference(avatar_split_clause,[],[f195,f341,f543,f441,f212]) ).

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

fof(f540,plain,
    ( spl0_76
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f46,f401,f537]) ).

fof(f46,axiom,
    ( ~ hskp29
    | c2_1(a2196) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f535,plain,
    ( ~ spl0_5
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f97,f532,f217]) ).

fof(f97,axiom,
    ( ~ c3_1(a2219)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f529,plain,
    ( ~ spl0_10
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f107,f526,f240]) ).

fof(f107,axiom,
    ( ~ c1_1(a2195)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f524,plain,
    ( ~ spl0_73
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f129,f353,f521]) ).

fof(f129,axiom,
    ( ~ hskp3
    | ~ c3_1(a2177) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f518,plain,
    ( ~ spl0_4
    | spl0_15
    | spl0_35
    | spl0_72 ),
    inference(avatar_split_clause,[],[f193,f516,f346,f261,f212]) ).

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

fof(f514,plain,
    ( spl0_70
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f72,f511,f507]) ).

fof(f72,axiom,
    ( ~ hskp11
    | c2_1(a2187) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f505,plain,
    ( ~ spl0_43
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f102,f502,f382]) ).

fof(f102,axiom,
    ( ~ c2_1(a2211)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f500,plain,
    ( ~ spl0_4
    | spl0_20
    | spl0_56
    | spl0_68 ),
    inference(avatar_split_clause,[],[f165,f498,f441,f278,f212]) ).

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

fof(f495,plain,
    ( ~ spl0_14
    | spl0_67 ),
    inference(avatar_split_clause,[],[f53,f492,f257]) ).

fof(f53,axiom,
    ( c3_1(a2178)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f490,plain,
    ( ~ spl0_66
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f121,f451,f487]) ).

fof(f121,axiom,
    ( ~ hskp9
    | ~ c1_1(a2185) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f485,plain,
    ( ~ spl0_4
    | spl0_17
    | spl0_1
    | spl0_20 ),
    inference(avatar_split_clause,[],[f166,f278,f202,f268,f212]) ).

fof(f166,axiom,
    ! [X0,X1] :
      ( hskp2
      | ~ c0_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | ~ c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f479,plain,
    ( ~ spl0_4
    | spl0_33
    | spl0_63
    | spl0_64 ),
    inference(avatar_split_clause,[],[f157,f476,f473,f338,f212]) ).

fof(f157,axiom,
    ! [X0,X1] :
      ( hskp0
      | ~ c2_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f471,plain,
    ( ~ spl0_40
    | spl0_62 ),
    inference(avatar_split_clause,[],[f68,f468,f368]) ).

fof(f68,axiom,
    ( c3_1(a2193)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f457,plain,
    ( spl0_58
    | spl0_47
    | spl0_59
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f149,f212,f455,f401,f451]) ).

fof(f149,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | c3_1(X0)
      | hskp29
      | hskp9
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f449,plain,
    ( spl0_8
    | spl0_10
    | ~ spl0_4
    | spl0_35 ),
    inference(avatar_split_clause,[],[f138,f346,f212,f240,f231]) ).

fof(f138,axiom,
    ! [X0] :
      ( c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | c3_1(X0)
      | hskp16
      | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f448,plain,
    ( ~ spl0_37
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f128,f445,f353]) ).

fof(f128,axiom,
    ( ~ c1_1(a2177)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f443,plain,
    ( spl0_10
    | ~ spl0_4
    | spl0_56 ),
    inference(avatar_split_clause,[],[f135,f441,f212,f240]) ).

fof(f135,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp16
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f439,plain,
    ( ~ spl0_55
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f113,f236,f436]) ).

fof(f113,axiom,
    ( ~ hskp13
    | ~ c1_1(a2191) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f434,plain,
    ( ~ spl0_54
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f90,f329,f431]) ).

fof(f90,axiom,
    ( ~ hskp26
    | ~ c2_1(a2268) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f422,plain,
    ( spl0_51
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f78,f226,f419]) ).

fof(f78,axiom,
    ( ~ hskp7
    | c3_1(a2182) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f417,plain,
    ( spl0_50
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f82,f378,f414]) ).

fof(f82,axiom,
    ( ~ hskp5
    | c3_1(a2180) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f412,plain,
    ( spl0_37
    | ~ spl0_4
    | spl0_16
    | spl0_49 ),
    inference(avatar_split_clause,[],[f159,f410,f264,f212,f353]) ).

fof(f159,axiom,
    ! [X0,X1] :
      ( c0_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | c2_1(X0)
      | hskp3
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f408,plain,
    ( ~ spl0_47
    | spl0_48 ),
    inference(avatar_split_clause,[],[f45,f405,f401]) ).

fof(f45,axiom,
    ( c1_1(a2196)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f399,plain,
    ( ~ spl0_8
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f110,f396,f231]) ).

fof(f110,axiom,
    ( ~ c2_1(a2194)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f394,plain,
    ( ~ spl0_44
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f132,f391,f387]) ).

fof(f132,axiom,
    ( ~ hskp1
    | ~ c0_1(a2175) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f385,plain,
    ( spl0_42
    | spl0_20
    | spl0_43 ),
    inference(avatar_split_clause,[],[f33,f382,f278,f378]) ).

fof(f33,axiom,
    ( hskp19
    | hskp2
    | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f376,plain,
    ( ~ spl0_41
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f96,f217,f373]) ).

fof(f96,axiom,
    ( ~ hskp22
    | ~ c1_1(a2219) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f371,plain,
    ( ~ spl0_4
    | spl0_40
    | spl0_35
    | spl0_11 ),
    inference(avatar_split_clause,[],[f164,f244,f346,f368,f212]) ).

fof(f164,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | c3_1(X1)
      | ~ c1_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | hskp14
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f366,plain,
    ( spl0_31
    | spl0_24
    | spl0_39 ),
    inference(avatar_split_clause,[],[f39,f363,f296,f329]) ).

fof(f39,axiom,
    ( hskp17
    | hskp24
    | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f361,plain,
    ( ~ spl0_9
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f114,f358,f236]) ).

fof(f114,axiom,
    ( ~ c3_1(a2191)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f356,plain,
    ( ~ spl0_4
    | spl0_15
    | spl0_37
    | spl0_8 ),
    inference(avatar_split_clause,[],[f145,f231,f353,f261,f212]) ).

fof(f145,axiom,
    ! [X0] :
      ( hskp15
      | hskp3
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f351,plain,
    ( spl0_11
    | spl0_35
    | ~ spl0_4
    | spl0_36 ),
    inference(avatar_split_clause,[],[f191,f349,f212,f346,f244]) ).

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

fof(f343,plain,
    ( ~ spl0_4
    | spl0_33
    | spl0_18
    | spl0_34 ),
    inference(avatar_split_clause,[],[f188,f341,f271,f338,f212]) ).

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

fof(f336,plain,
    ( ~ spl0_31
    | spl0_32 ),
    inference(avatar_split_clause,[],[f54,f333,f329]) ).

fof(f54,axiom,
    ( c1_1(a2268)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f327,plain,
    ( ~ spl0_29
    | spl0_30 ),
    inference(avatar_split_clause,[],[f63,f324,f320]) ).

fof(f63,axiom,
    ( c0_1(a2198)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f318,plain,
    ( ~ spl0_28
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f123,f226,f315]) ).

fof(f123,axiom,
    ( ~ hskp7
    | ~ c0_1(a2182) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f305,plain,
    ( spl0_25
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f52,f257,f302]) ).

fof(f52,axiom,
    ( ~ hskp27
    | c2_1(a2178) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f285,plain,
    ( ~ spl0_20
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f130,f282,f278]) ).

fof(f130,axiom,
    ( ~ c0_1(a2176)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f276,plain,
    ( ~ spl0_4
    | spl0_17
    | spl0_18
    | spl0_19 ),
    inference(avatar_split_clause,[],[f190,f274,f271,f268,f212]) ).

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

fof(f266,plain,
    ( ~ spl0_4
    | spl0_14
    | spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f167,f264,f261,f257,f212]) ).

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

fof(f255,plain,
    ( spl0_12
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f56,f252,f248]) ).

fof(f56,axiom,
    ( ~ hskp25
    | c3_1(a2265) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f246,plain,
    ( spl0_9
    | ~ spl0_4
    | spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f144,f244,f240,f212,f236]) ).

fof(f144,axiom,
    ! [X0] :
      ( c2_1(X0)
      | ~ c1_1(X0)
      | hskp16
      | ~ ndr1_0
      | hskp13
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f224,plain,
    ( ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f59,f221,f217]) ).

fof(f59,axiom,
    ( c2_1(a2219)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN486-1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 22:15:31 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.45  % (27318)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.48  Detected maximum model sizes of [31]
% 0.20/0.48  TRYING [1]
% 0.20/0.50  % (27337)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50  TRYING [2]
% 0.20/0.50  % (27321)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  TRYING [3]
% 0.20/0.51  TRYING [4]
% 0.20/0.51  % (27322)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (27332)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.51  % (27347)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52  % (27329)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52  % (27335)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.52  % (27319)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  % (27320)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52  % (27343)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53  % (27341)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.53  % (27323)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53  % (27333)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.53  % (27348)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.53  % (27324)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (27339)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53  % (27330)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.53  Detected maximum model sizes of [31]
% 0.20/0.53  % (27328)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  TRYING [1]
% 0.20/0.53  % (27345)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.53  TRYING [2]
% 0.20/0.54  % (27325)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54  % (27340)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.54  % (27326)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (27326)Instruction limit reached!
% 0.20/0.54  % (27326)------------------------------
% 0.20/0.54  % (27326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (27326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (27326)Termination reason: Unknown
% 0.20/0.54  % (27326)Termination phase: shuffling
% 0.20/0.54  
% 0.20/0.54  % (27326)Memory used [KB]: 1151
% 0.20/0.54  % (27326)Time elapsed: 0.002 s
% 0.20/0.54  % (27326)Instructions burned: 2 (million)
% 0.20/0.54  % (27326)------------------------------
% 0.20/0.54  % (27326)------------------------------
% 0.20/0.54  % (27344)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54  % (27331)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  % (27342)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55  % (27319)Refutation not found, incomplete strategy% (27319)------------------------------
% 0.20/0.55  % (27319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (27336)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55  % (27319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (27319)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55  
% 0.20/0.55  % (27319)Memory used [KB]: 6268
% 0.20/0.55  % (27319)Time elapsed: 0.118 s
% 0.20/0.55  % (27319)Instructions burned: 20 (million)
% 0.20/0.55  % (27319)------------------------------
% 0.20/0.55  % (27319)------------------------------
% 0.20/0.55  % (27321)First to succeed.
% 0.20/0.55  TRYING [3]
% 0.20/0.55  Detected maximum model sizes of [31]
% 0.20/0.55  TRYING [1]
% 0.20/0.56  TRYING [2]
% 0.20/0.56  % (27327)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56  % (27334)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.56  TRYING [3]
% 0.20/0.56  % (27338)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.56  TRYING [4]
% 0.20/0.56  % (27325)Instruction limit reached!
% 0.20/0.56  % (27325)------------------------------
% 0.20/0.56  % (27325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (27325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (27325)Termination reason: Unknown
% 0.20/0.56  % (27325)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (27325)Memory used [KB]: 6012
% 0.20/0.56  % (27325)Time elapsed: 0.123 s
% 0.20/0.56  % (27325)Instructions burned: 8 (million)
% 0.20/0.56  % (27325)------------------------------
% 0.20/0.56  % (27325)------------------------------
% 0.20/0.57  TRYING [4]
% 0.20/0.57  % (27321)Refutation found. Thanks to Tanya!
% 0.20/0.57  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57  % (27321)------------------------------
% 0.20/0.57  % (27321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (27321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (27321)Termination reason: Refutation
% 0.20/0.57  
% 0.20/0.57  % (27321)Memory used [KB]: 6780
% 0.20/0.57  % (27321)Time elapsed: 0.150 s
% 0.20/0.57  % (27321)Instructions burned: 42 (million)
% 0.20/0.57  % (27321)------------------------------
% 0.20/0.57  % (27321)------------------------------
% 0.20/0.57  % (27317)Success in time 0.22 s
%------------------------------------------------------------------------------