TSTP Solution File: SYN470-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN470-1 : 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 : n026.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 19:38:16 EDT 2022

% Result   : Unsatisfiable 2.30s 0.66s
% Output   : Refutation 2.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  284
% Syntax   : Number of formulae    :  648 (   1 unt;   0 def)
%            Number of atoms       : 2045 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2396 ( 999   ~;1242   |;   0   &)
%                                         ( 155 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  188 ( 187 usr; 184 prp; 0-1 aty)
%            Number of functors    :   27 (  27 usr;  27 con; 0-0 aty)
%            Number of variables   :  134 ( 134   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2485,plain,
    $false,
    inference(avatar_sat_refutation,[],[f205,f214,f229,f246,f251,f260,f277,f304,f322,f333,f370,f380,f389,f394,f398,f404,f410,f417,f427,f432,f433,f437,f455,f461,f466,f472,f476,f481,f487,f508,f517,f521,f526,f542,f547,f548,f553,f558,f563,f565,f570,f571,f577,f578,f594,f599,f604,f608,f609,f614,f619,f629,f634,f643,f648,f653,f656,f662,f663,f669,f674,f675,f680,f686,f691,f701,f702,f712,f718,f720,f725,f731,f736,f741,f742,f743,f753,f758,f759,f760,f765,f766,f773,f774,f791,f795,f800,f805,f810,f816,f821,f828,f833,f840,f845,f850,f855,f860,f866,f868,f873,f878,f883,f888,f889,f895,f896,f901,f907,f911,f912,f917,f925,f930,f935,f940,f946,f947,f952,f953,f958,f965,f971,f972,f978,f983,f988,f993,f998,f1010,f1012,f1026,f1040,f1051,f1063,f1090,f1107,f1121,f1128,f1142,f1172,f1173,f1181,f1182,f1196,f1210,f1211,f1213,f1214,f1225,f1226,f1233,f1234,f1259,f1273,f1333,f1368,f1369,f1374,f1375,f1391,f1411,f1437,f1438,f1446,f1448,f1465,f1474,f1490,f1506,f1509,f1512,f1553,f1584,f1638,f1641,f1642,f1664,f1700,f1809,f1810,f1813,f1880,f1923,f2035,f2036,f2043,f2045,f2047,f2059,f2072,f2099,f2158,f2178,f2205,f2207,f2261,f2264,f2281,f2292,f2294,f2304,f2309,f2318,f2319,f2406,f2484]) ).

fof(f2484,plain,
    ( spl0_60
    | spl0_119
    | ~ spl0_123
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f2483,f1104,f793,f770,f458]) ).

fof(f458,plain,
    ( spl0_60
  <=> c3_1(a496) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f770,plain,
    ( spl0_119
  <=> c1_1(a496) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f793,plain,
    ( spl0_123
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1104,plain,
    ( spl0_169
  <=> c0_1(a496) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f2483,plain,
    ( c1_1(a496)
    | c3_1(a496)
    | ~ spl0_123
    | ~ spl0_169 ),
    inference(resolution,[],[f794,f1106]) ).

fof(f1106,plain,
    ( c0_1(a496)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1104]) ).

fof(f794,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f2406,plain,
    ( ~ spl0_107
    | ~ spl0_127
    | ~ spl0_22
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f2388,f560,f288,f813,f698]) ).

fof(f698,plain,
    ( spl0_107
  <=> c1_1(a512) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f813,plain,
    ( spl0_127
  <=> c2_1(a512) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f288,plain,
    ( spl0_22
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f560,plain,
    ( spl0_82
  <=> c3_1(a512) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f2388,plain,
    ( ~ c2_1(a512)
    | ~ c1_1(a512)
    | ~ spl0_22
    | ~ spl0_82 ),
    inference(resolution,[],[f289,f562]) ).

fof(f562,plain,
    ( c3_1(a512)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f289,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f2319,plain,
    ( ~ spl0_146
    | spl0_64
    | ~ spl0_53
    | ~ spl0_185 ),
    inference(avatar_split_clause,[],[f2298,f1550,f425,f478,f922]) ).

fof(f922,plain,
    ( spl0_146
  <=> c1_1(a528) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f478,plain,
    ( spl0_64
  <=> c3_1(a528) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f425,plain,
    ( spl0_53
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1550,plain,
    ( spl0_185
  <=> c2_1(a528) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f2298,plain,
    ( c3_1(a528)
    | ~ c1_1(a528)
    | ~ spl0_53
    | ~ spl0_185 ),
    inference(resolution,[],[f1552,f426]) ).

fof(f426,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f1552,plain,
    ( c2_1(a528)
    | ~ spl0_185 ),
    inference(avatar_component_clause,[],[f1550]) ).

fof(f2318,plain,
    ( ~ spl0_118
    | spl0_84
    | ~ spl0_68
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2316,f1007,f497,f574,f762]) ).

fof(f762,plain,
    ( spl0_118
  <=> c1_1(a540) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f574,plain,
    ( spl0_84
  <=> c0_1(a540) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f497,plain,
    ( spl0_68
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1007,plain,
    ( spl0_161
  <=> c2_1(a540) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f2316,plain,
    ( c0_1(a540)
    | ~ c1_1(a540)
    | ~ spl0_68
    | ~ spl0_161 ),
    inference(resolution,[],[f1009,f498]) ).

fof(f498,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f1009,plain,
    ( c2_1(a540)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1007]) ).

fof(f2309,plain,
    ( spl0_84
    | ~ spl0_118
    | ~ spl0_55
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f2305,f523,f435,f762,f574]) ).

fof(f435,plain,
    ( spl0_55
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f523,plain,
    ( spl0_74
  <=> c3_1(a540) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f2305,plain,
    ( ~ c1_1(a540)
    | c0_1(a540)
    | ~ spl0_55
    | ~ spl0_74 ),
    inference(resolution,[],[f525,f436]) ).

fof(f436,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f525,plain,
    ( c3_1(a540)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f523]) ).

fof(f2304,plain,
    ( spl0_25
    | ~ spl0_132
    | ~ spl0_50
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f2300,f2254,f415,f842,f301]) ).

fof(f301,plain,
    ( spl0_25
  <=> c2_1(a510) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f842,plain,
    ( spl0_132
  <=> c0_1(a510) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f415,plain,
    ( spl0_50
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f2254,plain,
    ( spl0_188
  <=> c3_1(a510) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).

fof(f2300,plain,
    ( ~ c0_1(a510)
    | c2_1(a510)
    | ~ spl0_50
    | ~ spl0_188 ),
    inference(resolution,[],[f2256,f416]) ).

fof(f416,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f2256,plain,
    ( c3_1(a510)
    | ~ spl0_188 ),
    inference(avatar_component_clause,[],[f2254]) ).

fof(f2294,plain,
    ( spl0_150
    | spl0_109
    | ~ spl0_103
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2283,f909,f677,f709,f943]) ).

fof(f943,plain,
    ( spl0_150
  <=> c3_1(a554) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f709,plain,
    ( spl0_109
  <=> c2_1(a554) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f677,plain,
    ( spl0_103
  <=> c0_1(a554) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f909,plain,
    ( spl0_144
  <=> ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2283,plain,
    ( c2_1(a554)
    | c3_1(a554)
    | ~ spl0_103
    | ~ spl0_144 ),
    inference(resolution,[],[f910,f679]) ).

fof(f679,plain,
    ( c0_1(a554)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f910,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f909]) ).

fof(f2292,plain,
    ( spl0_188
    | spl0_25
    | ~ spl0_132
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2288,f909,f842,f301,f2254]) ).

fof(f2288,plain,
    ( c2_1(a510)
    | c3_1(a510)
    | ~ spl0_132
    | ~ spl0_144 ),
    inference(resolution,[],[f910,f844]) ).

fof(f844,plain,
    ( c0_1(a510)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f2281,plain,
    ( spl0_149
    | spl0_168
    | ~ spl0_110
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2270,f798,f715,f1097,f937]) ).

fof(f937,plain,
    ( spl0_149
  <=> c1_1(a568) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1097,plain,
    ( spl0_168
  <=> c2_1(a568) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f715,plain,
    ( spl0_110
  <=> c3_1(a568) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f798,plain,
    ( spl0_124
  <=> ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f2270,plain,
    ( c2_1(a568)
    | c1_1(a568)
    | ~ spl0_110
    | ~ spl0_124 ),
    inference(resolution,[],[f799,f717]) ).

fof(f717,plain,
    ( c3_1(a568)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f799,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f798]) ).

fof(f2264,plain,
    ( spl0_173
    | spl0_148
    | ~ spl0_98
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f2248,f793,f645,f932,f1169]) ).

fof(f1169,plain,
    ( spl0_173
  <=> c1_1(a520) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f932,plain,
    ( spl0_148
  <=> c3_1(a520) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f645,plain,
    ( spl0_98
  <=> c0_1(a520) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f2248,plain,
    ( c3_1(a520)
    | c1_1(a520)
    | ~ spl0_98
    | ~ spl0_123 ),
    inference(resolution,[],[f794,f647]) ).

fof(f647,plain,
    ( c0_1(a520)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f2261,plain,
    ( spl0_39
    | spl0_154
    | ~ spl0_113
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f2245,f793,f733,f968,f363]) ).

fof(f363,plain,
    ( spl0_39
  <=> c1_1(a538) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f968,plain,
    ( spl0_154
  <=> c3_1(a538) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f733,plain,
    ( spl0_113
  <=> c0_1(a538) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f2245,plain,
    ( c3_1(a538)
    | c1_1(a538)
    | ~ spl0_113
    | ~ spl0_123 ),
    inference(resolution,[],[f794,f735]) ).

fof(f735,plain,
    ( c0_1(a538)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f2207,plain,
    ( spl0_163
    | spl0_70
    | ~ spl0_47
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f2196,f641,f401,f505,f1037]) ).

fof(f1037,plain,
    ( spl0_163
  <=> c0_1(a532) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f505,plain,
    ( spl0_70
  <=> c2_1(a532) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f401,plain,
    ( spl0_47
  <=> c3_1(a532) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f641,plain,
    ( spl0_97
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f2196,plain,
    ( c2_1(a532)
    | c0_1(a532)
    | ~ spl0_47
    | ~ spl0_97 ),
    inference(resolution,[],[f642,f403]) ).

fof(f403,plain,
    ( c3_1(a532)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f642,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2)
        | c2_1(X2) )
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f2205,plain,
    ( spl0_156
    | spl0_147
    | ~ spl0_14
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f2202,f641,f253,f927,f980]) ).

fof(f980,plain,
    ( spl0_156
  <=> c0_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f927,plain,
    ( spl0_147
  <=> c2_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f253,plain,
    ( spl0_14
  <=> c3_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f2202,plain,
    ( c2_1(a494)
    | c0_1(a494)
    | ~ spl0_14
    | ~ spl0_97 ),
    inference(resolution,[],[f642,f255]) ).

fof(f255,plain,
    ( c3_1(a494)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f2178,plain,
    ( ~ spl0_175
    | spl0_138
    | ~ spl0_55
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2174,f990,f435,f875,f1222]) ).

fof(f1222,plain,
    ( spl0_175
  <=> c1_1(a505) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f875,plain,
    ( spl0_138
  <=> c0_1(a505) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f990,plain,
    ( spl0_158
  <=> c3_1(a505) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f2174,plain,
    ( c0_1(a505)
    | ~ c1_1(a505)
    | ~ spl0_55
    | ~ spl0_158 ),
    inference(resolution,[],[f436,f992]) ).

fof(f992,plain,
    ( c3_1(a505)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f990]) ).

fof(f2158,plain,
    ( ~ spl0_100
    | spl0_61
    | ~ spl0_19
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f2154,f425,f274,f463,f659]) ).

fof(f659,plain,
    ( spl0_100
  <=> c1_1(a501) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f463,plain,
    ( spl0_61
  <=> c3_1(a501) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f274,plain,
    ( spl0_19
  <=> c2_1(a501) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f2154,plain,
    ( c3_1(a501)
    | ~ c1_1(a501)
    | ~ spl0_19
    | ~ spl0_53 ),
    inference(resolution,[],[f426,f276]) ).

fof(f276,plain,
    ( c2_1(a501)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f2099,plain,
    ( spl0_147
    | spl0_156
    | ~ spl0_18
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f2098,f1002,f270,f980,f927]) ).

fof(f270,plain,
    ( spl0_18
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1002,plain,
    ( spl0_160
  <=> c1_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f2098,plain,
    ( c0_1(a494)
    | c2_1(a494)
    | ~ spl0_18
    | ~ spl0_160 ),
    inference(resolution,[],[f271,f1003]) ).

fof(f1003,plain,
    ( c1_1(a494)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1002]) ).

fof(f271,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f2072,plain,
    ( spl0_171
    | spl0_28
    | ~ spl0_46
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2071,f955,f396,f315,f1118]) ).

fof(f1118,plain,
    ( spl0_171
  <=> c1_1(a509) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f315,plain,
    ( spl0_28
  <=> c2_1(a509) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f396,plain,
    ( spl0_46
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f955,plain,
    ( spl0_152
  <=> c0_1(a509) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f2071,plain,
    ( c2_1(a509)
    | c1_1(a509)
    | ~ spl0_46
    | ~ spl0_152 ),
    inference(resolution,[],[f957,f397]) ).

fof(f397,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f957,plain,
    ( c0_1(a509)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f955]) ).

fof(f2059,plain,
    ( ~ spl0_164
    | spl0_95
    | ~ spl0_49
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2055,f852,f412,f631,f1048]) ).

fof(f1048,plain,
    ( spl0_164
  <=> c0_1(a514) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f631,plain,
    ( spl0_95
  <=> c2_1(a514) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f412,plain,
    ( spl0_49
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f852,plain,
    ( spl0_134
  <=> c1_1(a514) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2055,plain,
    ( c2_1(a514)
    | ~ c0_1(a514)
    | ~ spl0_49
    | ~ spl0_134 ),
    inference(resolution,[],[f854,f413]) ).

fof(f413,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f854,plain,
    ( c1_1(a514)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f2047,plain,
    ( spl0_25
    | spl0_42
    | ~ spl0_46
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f2046,f842,f396,f377,f301]) ).

fof(f377,plain,
    ( spl0_42
  <=> c1_1(a510) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f2046,plain,
    ( c1_1(a510)
    | c2_1(a510)
    | ~ spl0_46
    | ~ spl0_132 ),
    inference(resolution,[],[f844,f397]) ).

fof(f2045,plain,
    ( spl0_114
    | spl0_142
    | ~ spl0_52
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1994,f539,f422,f898,f738]) ).

fof(f738,plain,
    ( spl0_114
  <=> c1_1(a502) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f898,plain,
    ( spl0_142
  <=> c0_1(a502) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f422,plain,
    ( spl0_52
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | c3_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f539,plain,
    ( spl0_78
  <=> c3_1(a502) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1994,plain,
    ( c0_1(a502)
    | c1_1(a502)
    | ~ spl0_52
    | spl0_78 ),
    inference(resolution,[],[f423,f541]) ).

fof(f541,plain,
    ( ~ c3_1(a502)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f539]) ).

fof(f423,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f2043,plain,
    ( spl0_99
    | ~ spl0_101
    | ~ spl0_90
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2029,f914,f606,f666,f650]) ).

fof(f650,plain,
    ( spl0_99
  <=> c1_1(a499) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f666,plain,
    ( spl0_101
  <=> c0_1(a499) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f606,plain,
    ( spl0_90
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f914,plain,
    ( spl0_145
  <=> c2_1(a499) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f2029,plain,
    ( ~ c0_1(a499)
    | c1_1(a499)
    | ~ spl0_90
    | ~ spl0_145 ),
    inference(resolution,[],[f607,f916]) ).

fof(f916,plain,
    ( c2_1(a499)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f914]) ).

fof(f607,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f2036,plain,
    ( ~ spl0_131
    | spl0_149
    | ~ spl0_90
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f2018,f1097,f606,f937,f837]) ).

fof(f837,plain,
    ( spl0_131
  <=> c0_1(a568) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f2018,plain,
    ( c1_1(a568)
    | ~ c0_1(a568)
    | ~ spl0_90
    | ~ spl0_168 ),
    inference(resolution,[],[f607,f1099]) ).

fof(f1099,plain,
    ( c2_1(a568)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1097]) ).

fof(f2035,plain,
    ( ~ spl0_98
    | spl0_173
    | ~ spl0_90
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f2026,f626,f606,f1169,f645]) ).

fof(f626,plain,
    ( spl0_94
  <=> c2_1(a520) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f2026,plain,
    ( c1_1(a520)
    | ~ c0_1(a520)
    | ~ spl0_90
    | ~ spl0_94 ),
    inference(resolution,[],[f607,f628]) ).

fof(f628,plain,
    ( c2_1(a520)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f1923,plain,
    ( spl0_79
    | spl0_70
    | ~ spl0_46
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1899,f1037,f396,f505,f544]) ).

fof(f544,plain,
    ( spl0_79
  <=> c1_1(a532) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1899,plain,
    ( c2_1(a532)
    | c1_1(a532)
    | ~ spl0_46
    | ~ spl0_163 ),
    inference(resolution,[],[f397,f1038]) ).

fof(f1038,plain,
    ( c0_1(a532)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1037]) ).

fof(f1880,plain,
    ( ~ spl0_98
    | spl0_148
    | ~ spl0_72
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1877,f1169,f515,f932,f645]) ).

fof(f515,plain,
    ( spl0_72
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1877,plain,
    ( c3_1(a520)
    | ~ c0_1(a520)
    | ~ spl0_72
    | ~ spl0_173 ),
    inference(resolution,[],[f1170,f516]) ).

fof(f516,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f1170,plain,
    ( c1_1(a520)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1169]) ).

fof(f1813,plain,
    ( spl0_78
    | spl0_114
    | ~ spl0_58
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1801,f1065,f448,f738,f539]) ).

fof(f448,plain,
    ( spl0_58
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f1065,plain,
    ( spl0_165
  <=> c2_1(a502) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f1801,plain,
    ( c1_1(a502)
    | c3_1(a502)
    | ~ spl0_58
    | ~ spl0_165 ),
    inference(resolution,[],[f449,f1067]) ).

fof(f1067,plain,
    ( c2_1(a502)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1065]) ).

fof(f449,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f1810,plain,
    ( spl0_177
    | spl0_99
    | ~ spl0_58
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1799,f914,f448,f650,f1256]) ).

fof(f1256,plain,
    ( spl0_177
  <=> c3_1(a499) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f1799,plain,
    ( c1_1(a499)
    | c3_1(a499)
    | ~ spl0_58
    | ~ spl0_145 ),
    inference(resolution,[],[f449,f916]) ).

fof(f1809,plain,
    ( spl0_173
    | spl0_148
    | ~ spl0_58
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1798,f626,f448,f932,f1169]) ).

fof(f1798,plain,
    ( c3_1(a520)
    | c1_1(a520)
    | ~ spl0_58
    | ~ spl0_94 ),
    inference(resolution,[],[f449,f628]) ).

fof(f1700,plain,
    ( spl0_140
    | spl0_155
    | ~ spl0_73
    | spl0_122 ),
    inference(avatar_split_clause,[],[f1696,f788,f519,f975,f885]) ).

fof(f885,plain,
    ( spl0_140
  <=> c1_1(a536) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f975,plain,
    ( spl0_155
  <=> c0_1(a536) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f519,plain,
    ( spl0_73
  <=> ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f788,plain,
    ( spl0_122
  <=> c2_1(a536) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1696,plain,
    ( c0_1(a536)
    | c1_1(a536)
    | ~ spl0_73
    | spl0_122 ),
    inference(resolution,[],[f520,f790]) ).

fof(f790,plain,
    ( ~ c2_1(a536)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f788]) ).

fof(f520,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f519]) ).

fof(f1664,plain,
    ( ~ spl0_161
    | ~ spl0_118
    | ~ spl0_22
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1661,f523,f288,f762,f1007]) ).

fof(f1661,plain,
    ( ~ c1_1(a540)
    | ~ c2_1(a540)
    | ~ spl0_22
    | ~ spl0_74 ),
    inference(resolution,[],[f525,f289]) ).

fof(f1642,plain,
    ( spl0_142
    | spl0_165
    | ~ spl0_51
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1523,f539,f419,f1065,f898]) ).

fof(f419,plain,
    ( spl0_51
  <=> ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1523,plain,
    ( c2_1(a502)
    | c0_1(a502)
    | ~ spl0_51
    | spl0_78 ),
    inference(resolution,[],[f541,f420]) ).

fof(f420,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f1641,plain,
    ( ~ spl0_179
    | spl0_61
    | ~ spl0_72
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1635,f659,f515,f463,f1266]) ).

fof(f1266,plain,
    ( spl0_179
  <=> c0_1(a501) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f1635,plain,
    ( c3_1(a501)
    | ~ c0_1(a501)
    | ~ spl0_72
    | ~ spl0_100 ),
    inference(resolution,[],[f516,f661]) ).

fof(f661,plain,
    ( c1_1(a501)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f659]) ).

fof(f1638,plain,
    ( ~ spl0_159
    | spl0_64
    | ~ spl0_72
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1634,f922,f515,f478,f995]) ).

fof(f995,plain,
    ( spl0_159
  <=> c0_1(a528) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f1634,plain,
    ( c3_1(a528)
    | ~ c0_1(a528)
    | ~ spl0_72
    | ~ spl0_146 ),
    inference(resolution,[],[f516,f924]) ).

fof(f924,plain,
    ( c1_1(a528)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f922]) ).

fof(f1584,plain,
    ( ~ spl0_133
    | ~ spl0_116
    | ~ spl0_63
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1572,f949,f474,f750,f847]) ).

fof(f847,plain,
    ( spl0_133
  <=> c0_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f750,plain,
    ( spl0_116
  <=> c2_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f474,plain,
    ( spl0_63
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f949,plain,
    ( spl0_151
  <=> c3_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1572,plain,
    ( ~ c2_1(a500)
    | ~ c0_1(a500)
    | ~ spl0_63
    | ~ spl0_151 ),
    inference(resolution,[],[f475,f951]) ).

fof(f951,plain,
    ( c3_1(a500)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f949]) ).

fof(f475,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f1553,plain,
    ( ~ spl0_159
    | spl0_185
    | ~ spl0_49
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1543,f922,f412,f1550,f995]) ).

fof(f1543,plain,
    ( c2_1(a528)
    | ~ c0_1(a528)
    | ~ spl0_49
    | ~ spl0_146 ),
    inference(resolution,[],[f413,f924]) ).

fof(f1512,plain,
    ( ~ spl0_134
    | spl0_95
    | ~ spl0_5
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1510,f601,f216,f631,f852]) ).

fof(f216,plain,
    ( spl0_5
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f601,plain,
    ( spl0_89
  <=> c3_1(a514) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1510,plain,
    ( c2_1(a514)
    | ~ c1_1(a514)
    | ~ spl0_5
    | ~ spl0_89 ),
    inference(resolution,[],[f603,f217]) ).

fof(f217,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f603,plain,
    ( c3_1(a514)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f1509,plain,
    ( spl0_92
    | ~ spl0_83
    | ~ spl0_5
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f1499,f1371,f216,f567,f616]) ).

fof(f616,plain,
    ( spl0_92
  <=> c2_1(a498) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f567,plain,
    ( spl0_83
  <=> c1_1(a498) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1371,plain,
    ( spl0_182
  <=> c3_1(a498) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f1499,plain,
    ( ~ c1_1(a498)
    | c2_1(a498)
    | ~ spl0_5
    | ~ spl0_182 ),
    inference(resolution,[],[f217,f1373]) ).

fof(f1373,plain,
    ( c3_1(a498)
    | ~ spl0_182 ),
    inference(avatar_component_clause,[],[f1371]) ).

fof(f1506,plain,
    ( spl0_28
    | ~ spl0_171
    | ~ spl0_5
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1497,f722,f216,f1118,f315]) ).

fof(f722,plain,
    ( spl0_111
  <=> c3_1(a509) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1497,plain,
    ( ~ c1_1(a509)
    | c2_1(a509)
    | ~ spl0_5
    | ~ spl0_111 ),
    inference(resolution,[],[f217,f724]) ).

fof(f724,plain,
    ( c3_1(a509)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f1490,plain,
    ( spl0_92
    | spl0_48
    | ~ spl0_51
    | spl0_182 ),
    inference(avatar_split_clause,[],[f1489,f1371,f419,f407,f616]) ).

fof(f407,plain,
    ( spl0_48
  <=> c0_1(a498) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1489,plain,
    ( c0_1(a498)
    | c2_1(a498)
    | ~ spl0_51
    | spl0_182 ),
    inference(resolution,[],[f1372,f420]) ).

fof(f1372,plain,
    ( ~ c3_1(a498)
    | spl0_182 ),
    inference(avatar_component_clause,[],[f1371]) ).

fof(f1474,plain,
    ( spl0_142
    | spl0_114
    | ~ spl0_33
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1473,f1065,f335,f738,f898]) ).

fof(f335,plain,
    ( spl0_33
  <=> ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1473,plain,
    ( c1_1(a502)
    | c0_1(a502)
    | ~ spl0_33
    | ~ spl0_165 ),
    inference(resolution,[],[f1067,f336]) ).

fof(f336,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f335]) ).

fof(f1465,plain,
    ( spl0_157
    | spl0_166
    | ~ spl0_18
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1195,f596,f270,f1076,f985]) ).

fof(f985,plain,
    ( spl0_157
  <=> c0_1(a495) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1076,plain,
    ( spl0_166
  <=> c2_1(a495) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f596,plain,
    ( spl0_88
  <=> c1_1(a495) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1195,plain,
    ( c2_1(a495)
    | c0_1(a495)
    | ~ spl0_18
    | ~ spl0_88 ),
    inference(resolution,[],[f271,f598]) ).

fof(f598,plain,
    ( c1_1(a495)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f1448,plain,
    ( ~ spl0_184
    | spl0_45
    | ~ spl0_31
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1447,f671,f328,f391,f1443]) ).

fof(f1443,plain,
    ( spl0_184
  <=> c0_1(a530) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f391,plain,
    ( spl0_45
  <=> c1_1(a530) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f328,plain,
    ( spl0_31
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f671,plain,
    ( spl0_102
  <=> c3_1(a530) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1447,plain,
    ( c1_1(a530)
    | ~ c0_1(a530)
    | ~ spl0_31
    | ~ spl0_102 ),
    inference(resolution,[],[f673,f329]) ).

fof(f329,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f673,plain,
    ( c3_1(a530)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f1446,plain,
    ( spl0_184
    | spl0_45
    | ~ spl0_33
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1441,f611,f335,f391,f1443]) ).

fof(f611,plain,
    ( spl0_91
  <=> c2_1(a530) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1441,plain,
    ( c1_1(a530)
    | c0_1(a530)
    | ~ spl0_33
    | ~ spl0_91 ),
    inference(resolution,[],[f613,f336]) ).

fof(f613,plain,
    ( c2_1(a530)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f611]) ).

fof(f1438,plain,
    ( ~ spl0_98
    | ~ spl0_173
    | ~ spl0_76
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1421,f626,f531,f1169,f645]) ).

fof(f531,plain,
    ( spl0_76
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1421,plain,
    ( ~ c1_1(a520)
    | ~ c0_1(a520)
    | ~ spl0_76
    | ~ spl0_94 ),
    inference(resolution,[],[f532,f628]) ).

fof(f532,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f1437,plain,
    ( ~ spl0_117
    | ~ spl0_137
    | ~ spl0_76
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1415,f857,f531,f870,f755]) ).

fof(f755,plain,
    ( spl0_117
  <=> c0_1(a522) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f870,plain,
    ( spl0_137
  <=> c1_1(a522) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f857,plain,
    ( spl0_135
  <=> c2_1(a522) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1415,plain,
    ( ~ c1_1(a522)
    | ~ c0_1(a522)
    | ~ spl0_76
    | ~ spl0_135 ),
    inference(resolution,[],[f532,f859]) ).

fof(f859,plain,
    ( c2_1(a522)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f857]) ).

fof(f1411,plain,
    ( spl0_179
    | spl0_61
    | ~ spl0_19
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1402,f528,f274,f463,f1266]) ).

fof(f528,plain,
    ( spl0_75
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1402,plain,
    ( c3_1(a501)
    | c0_1(a501)
    | ~ spl0_19
    | ~ spl0_75 ),
    inference(resolution,[],[f529,f276]) ).

fof(f529,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f1391,plain,
    ( spl0_28
    | ~ spl0_152
    | ~ spl0_50
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1385,f722,f415,f955,f315]) ).

fof(f1385,plain,
    ( ~ c0_1(a509)
    | c2_1(a509)
    | ~ spl0_50
    | ~ spl0_111 ),
    inference(resolution,[],[f416,f724]) ).

fof(f1375,plain,
    ( spl0_61
    | spl0_179
    | ~ spl0_32
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1363,f659,f331,f1266,f463]) ).

fof(f331,plain,
    ( spl0_32
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1363,plain,
    ( c0_1(a501)
    | c3_1(a501)
    | ~ spl0_32
    | ~ spl0_100 ),
    inference(resolution,[],[f332,f661]) ).

fof(f332,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f1374,plain,
    ( spl0_48
    | spl0_182
    | ~ spl0_32
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1364,f567,f331,f1371,f407]) ).

fof(f1364,plain,
    ( c3_1(a498)
    | c0_1(a498)
    | ~ spl0_32
    | ~ spl0_83 ),
    inference(resolution,[],[f332,f569]) ).

fof(f569,plain,
    ( c1_1(a498)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f1369,plain,
    ( spl0_143
    | spl0_125
    | ~ spl0_32
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1354,f1087,f331,f802,f904]) ).

fof(f904,plain,
    ( spl0_143
  <=> c3_1(a558) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f802,plain,
    ( spl0_125
  <=> c0_1(a558) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1087,plain,
    ( spl0_167
  <=> c1_1(a558) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f1354,plain,
    ( c0_1(a558)
    | c3_1(a558)
    | ~ spl0_32
    | ~ spl0_167 ),
    inference(resolution,[],[f332,f1089]) ).

fof(f1089,plain,
    ( c1_1(a558)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1087]) ).

fof(f1368,plain,
    ( spl0_43
    | spl0_157
    | ~ spl0_32
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1365,f596,f331,f985,f382]) ).

fof(f382,plain,
    ( spl0_43
  <=> c3_1(a495) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1365,plain,
    ( c0_1(a495)
    | c3_1(a495)
    | ~ spl0_32
    | ~ spl0_88 ),
    inference(resolution,[],[f332,f598]) ).

fof(f1333,plain,
    ( spl0_80
    | spl0_128
    | ~ spl0_2
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f1332,f335,f202,f818,f550]) ).

fof(f550,plain,
    ( spl0_80
  <=> c1_1(a497) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f818,plain,
    ( spl0_128
  <=> c0_1(a497) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f202,plain,
    ( spl0_2
  <=> c2_1(a497) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1332,plain,
    ( c0_1(a497)
    | c1_1(a497)
    | ~ spl0_2
    | ~ spl0_33 ),
    inference(resolution,[],[f204,f336]) ).

fof(f204,plain,
    ( c2_1(a497)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f1273,plain,
    ( spl0_99
    | ~ spl0_101
    | ~ spl0_31
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1270,f1256,f328,f666,f650]) ).

fof(f1270,plain,
    ( ~ c0_1(a499)
    | c1_1(a499)
    | ~ spl0_31
    | ~ spl0_177 ),
    inference(resolution,[],[f1258,f329]) ).

fof(f1258,plain,
    ( c3_1(a499)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1256]) ).

fof(f1259,plain,
    ( spl0_177
    | ~ spl0_101
    | ~ spl0_6
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1251,f914,f219,f666,f1256]) ).

fof(f219,plain,
    ( spl0_6
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f1251,plain,
    ( ~ c0_1(a499)
    | c3_1(a499)
    | ~ spl0_6
    | ~ spl0_145 ),
    inference(resolution,[],[f220,f916]) ).

fof(f220,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f1234,plain,
    ( ~ spl0_175
    | ~ spl0_139
    | ~ spl0_22
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1231,f990,f288,f880,f1222]) ).

fof(f880,plain,
    ( spl0_139
  <=> c2_1(a505) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1231,plain,
    ( ~ c2_1(a505)
    | ~ c1_1(a505)
    | ~ spl0_22
    | ~ spl0_158 ),
    inference(resolution,[],[f992,f289]) ).

fof(f1233,plain,
    ( ~ spl0_139
    | spl0_138
    | ~ spl0_12
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1232,f990,f244,f875,f880]) ).

fof(f244,plain,
    ( spl0_12
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1232,plain,
    ( c0_1(a505)
    | ~ c2_1(a505)
    | ~ spl0_12
    | ~ spl0_158 ),
    inference(resolution,[],[f992,f245]) ).

fof(f245,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f1226,plain,
    ( spl0_33
    | ~ spl0_12
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1161,f422,f244,f335]) ).

fof(f1161,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_12
    | ~ spl0_52 ),
    inference(duplicate_literal_removal,[],[f1153]) ).

fof(f1153,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_12
    | ~ spl0_52 ),
    inference(resolution,[],[f423,f245]) ).

fof(f1225,plain,
    ( spl0_138
    | spl0_175
    | ~ spl0_33
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1220,f880,f335,f1222,f875]) ).

fof(f1220,plain,
    ( c1_1(a505)
    | c0_1(a505)
    | ~ spl0_33
    | ~ spl0_139 ),
    inference(resolution,[],[f882,f336]) ).

fof(f882,plain,
    ( c2_1(a505)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f1214,plain,
    ( spl0_65
    | spl0_126
    | ~ spl0_71
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1204,f688,f510,f807,f484]) ).

fof(f484,plain,
    ( spl0_65
  <=> c0_1(a507) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f807,plain,
    ( spl0_126
  <=> c1_1(a507) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f510,plain,
    ( spl0_71
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f688,plain,
    ( spl0_105
  <=> c3_1(a507) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1204,plain,
    ( c1_1(a507)
    | c0_1(a507)
    | ~ spl0_71
    | ~ spl0_105 ),
    inference(resolution,[],[f511,f690]) ).

fof(f690,plain,
    ( c3_1(a507)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f511,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f1213,plain,
    ( spl0_156
    | spl0_160
    | ~ spl0_14
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1205,f510,f253,f1002,f980]) ).

fof(f1205,plain,
    ( c1_1(a494)
    | c0_1(a494)
    | ~ spl0_14
    | ~ spl0_71 ),
    inference(resolution,[],[f511,f255]) ).

fof(f1211,plain,
    ( spl0_73
    | ~ spl0_51
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1209,f510,f419,f519]) ).

fof(f1209,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_51
    | ~ spl0_71 ),
    inference(duplicate_literal_removal,[],[f1198]) ).

fof(f1198,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c0_1(X1)
        | c0_1(X1) )
    | ~ spl0_51
    | ~ spl0_71 ),
    inference(resolution,[],[f511,f420]) ).

fof(f1210,plain,
    ( spl0_79
    | spl0_163
    | ~ spl0_47
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1201,f510,f401,f1037,f544]) ).

fof(f1201,plain,
    ( c0_1(a532)
    | c1_1(a532)
    | ~ spl0_47
    | ~ spl0_71 ),
    inference(resolution,[],[f511,f403]) ).

fof(f1196,plain,
    ( spl0_164
    | spl0_95
    | ~ spl0_18
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1192,f852,f270,f631,f1048]) ).

fof(f1192,plain,
    ( c2_1(a514)
    | c0_1(a514)
    | ~ spl0_18
    | ~ spl0_134 ),
    inference(resolution,[],[f271,f854]) ).

fof(f1182,plain,
    ( spl0_125
    | ~ spl0_167
    | ~ spl0_68
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1176,f683,f497,f1087,f802]) ).

fof(f683,plain,
    ( spl0_104
  <=> c2_1(a558) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1176,plain,
    ( ~ c1_1(a558)
    | c0_1(a558)
    | ~ spl0_68
    | ~ spl0_104 ),
    inference(resolution,[],[f498,f685]) ).

fof(f685,plain,
    ( c2_1(a558)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f1181,plain,
    ( spl0_157
    | ~ spl0_88
    | ~ spl0_68
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1179,f1076,f497,f596,f985]) ).

fof(f1179,plain,
    ( ~ c1_1(a495)
    | c0_1(a495)
    | ~ spl0_68
    | ~ spl0_166 ),
    inference(resolution,[],[f498,f1078]) ).

fof(f1078,plain,
    ( c2_1(a495)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1076]) ).

fof(f1173,plain,
    ( ~ spl0_88
    | spl0_43
    | ~ spl0_53
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1165,f1076,f425,f382,f596]) ).

fof(f1165,plain,
    ( c3_1(a495)
    | ~ c1_1(a495)
    | ~ spl0_53
    | ~ spl0_166 ),
    inference(resolution,[],[f426,f1078]) ).

fof(f1172,plain,
    ( spl0_148
    | ~ spl0_173
    | ~ spl0_53
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1164,f626,f425,f1169,f932]) ).

fof(f1164,plain,
    ( ~ c1_1(a520)
    | c3_1(a520)
    | ~ spl0_53
    | ~ spl0_94 ),
    inference(resolution,[],[f426,f628]) ).

fof(f1142,plain,
    ( spl0_28
    | ~ spl0_152
    | ~ spl0_49
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1135,f1118,f412,f955,f315]) ).

fof(f1135,plain,
    ( ~ c0_1(a509)
    | c2_1(a509)
    | ~ spl0_49
    | ~ spl0_171 ),
    inference(resolution,[],[f413,f1120]) ).

fof(f1120,plain,
    ( c1_1(a509)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1118]) ).

fof(f1128,plain,
    ( spl0_119
    | spl0_130
    | ~ spl0_46
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1127,f1104,f396,f830,f770]) ).

fof(f830,plain,
    ( spl0_130
  <=> c2_1(a496) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1127,plain,
    ( c2_1(a496)
    | c1_1(a496)
    | ~ spl0_46
    | ~ spl0_169 ),
    inference(resolution,[],[f1106,f397]) ).

fof(f1121,plain,
    ( ~ spl0_152
    | spl0_171
    | ~ spl0_31
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1114,f722,f328,f1118,f955]) ).

fof(f1114,plain,
    ( c1_1(a509)
    | ~ c0_1(a509)
    | ~ spl0_31
    | ~ spl0_111 ),
    inference(resolution,[],[f724,f329]) ).

fof(f1107,plain,
    ( spl0_169
    | spl0_130
    | ~ spl0_51
    | spl0_60 ),
    inference(avatar_split_clause,[],[f1102,f458,f419,f830,f1104]) ).

fof(f1102,plain,
    ( c2_1(a496)
    | c0_1(a496)
    | ~ spl0_51
    | spl0_60 ),
    inference(resolution,[],[f460,f420]) ).

fof(f460,plain,
    ( ~ c3_1(a496)
    | spl0_60 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f1090,plain,
    ( spl0_125
    | spl0_167
    | ~ spl0_33
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1085,f683,f335,f1087,f802]) ).

fof(f1085,plain,
    ( c1_1(a558)
    | c0_1(a558)
    | ~ spl0_33
    | ~ spl0_104 ),
    inference(resolution,[],[f685,f336]) ).

fof(f1063,plain,
    ( spl0_141
    | spl0_13
    | spl0_4
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1058,f419,f211,f248,f892]) ).

fof(f892,plain,
    ( spl0_141
  <=> c0_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f248,plain,
    ( spl0_13
  <=> c2_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f211,plain,
    ( spl0_4
  <=> c3_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1058,plain,
    ( c2_1(a559)
    | c0_1(a559)
    | spl0_4
    | ~ spl0_51 ),
    inference(resolution,[],[f420,f213]) ).

fof(f213,plain,
    ( ~ c3_1(a559)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f1051,plain,
    ( spl0_95
    | ~ spl0_164
    | ~ spl0_50
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1045,f601,f415,f1048,f631]) ).

fof(f1045,plain,
    ( ~ c0_1(a514)
    | c2_1(a514)
    | ~ spl0_50
    | ~ spl0_89 ),
    inference(resolution,[],[f416,f603]) ).

fof(f1040,plain,
    ( ~ spl0_163
    | spl0_79
    | ~ spl0_31
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f1033,f401,f328,f544,f1037]) ).

fof(f1033,plain,
    ( c1_1(a532)
    | ~ c0_1(a532)
    | ~ spl0_31
    | ~ spl0_47 ),
    inference(resolution,[],[f329,f403]) ).

fof(f1026,plain,
    ( spl0_48
    | spl0_92
    | ~ spl0_18
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1018,f567,f270,f616,f407]) ).

fof(f1018,plain,
    ( c2_1(a498)
    | c0_1(a498)
    | ~ spl0_18
    | ~ spl0_83 ),
    inference(resolution,[],[f271,f569]) ).

fof(f1012,plain,
    ( ~ spl0_98
    | spl0_148
    | ~ spl0_6
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1011,f626,f219,f932,f645]) ).

fof(f1011,plain,
    ( c3_1(a520)
    | ~ c0_1(a520)
    | ~ spl0_6
    | ~ spl0_94 ),
    inference(resolution,[],[f220,f628]) ).

fof(f1010,plain,
    ( spl0_161
    | ~ spl0_118
    | ~ spl0_5
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1000,f523,f216,f762,f1007]) ).

fof(f1000,plain,
    ( ~ c1_1(a540)
    | c2_1(a540)
    | ~ spl0_5
    | ~ spl0_74 ),
    inference(resolution,[],[f217,f525]) ).

fof(f998,plain,
    ( spl0_159
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f67,f429,f995]) ).

fof(f429,plain,
    ( spl0_54
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f67,axiom,
    ( ~ hskp15
    | c0_1(a528) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f993,plain,
    ( spl0_158
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f79,f324,f990]) ).

fof(f324,plain,
    ( spl0_30
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f79,axiom,
    ( ~ hskp8
    | c3_1(a505) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f988,plain,
    ( ~ spl0_157
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f132,f386,f985]) ).

fof(f386,plain,
    ( spl0_44
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f132,axiom,
    ( ~ hskp1
    | ~ c0_1(a495) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f983,plain,
    ( ~ spl0_156
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f134,f257,f980]) ).

fof(f257,plain,
    ( spl0_15
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f134,axiom,
    ( ~ hskp0
    | ~ c0_1(a494) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f978,plain,
    ( ~ spl0_35
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f100,f975,f344]) ).

fof(f344,plain,
    ( spl0_35
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f100,axiom,
    ( ~ c0_1(a536)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f972,plain,
    ( ~ spl0_8
    | spl0_69
    | spl0_17
    | spl0_123 ),
    inference(avatar_split_clause,[],[f145,f793,f266,f500,f226]) ).

fof(f226,plain,
    ( spl0_8
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f500,plain,
    ( spl0_69
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f266,plain,
    ( spl0_17
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f145,axiom,
    ! [X0] :
      ( c3_1(X0)
      | hskp4
      | hskp31
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f971,plain,
    ( ~ spl0_40
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f99,f968,f367]) ).

fof(f367,plain,
    ( spl0_40
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f99,axiom,
    ( ~ c3_1(a538)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f965,plain,
    ( ~ spl0_8
    | spl0_31
    | spl0_10
    | spl0_71 ),
    inference(avatar_split_clause,[],[f170,f510,f236,f328,f226]) ).

fof(f236,plain,
    ( spl0_10
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f170,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | hskp28
      | ~ c0_1(X0)
      | c0_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f958,plain,
    ( ~ spl0_29
    | spl0_152 ),
    inference(avatar_split_clause,[],[f75,f955,f319]) ).

fof(f319,plain,
    ( spl0_29
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f75,axiom,
    ( c0_1(a509)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f953,plain,
    ( spl0_68
    | spl0_51
    | spl0_22
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f194,f226,f288,f419,f497]) ).

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

fof(f952,plain,
    ( spl0_151
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f51,f236,f949]) ).

fof(f51,axiom,
    ( ~ hskp28
    | c3_1(a500) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f947,plain,
    ( ~ spl0_62
    | spl0_8 ),
    inference(avatar_split_clause,[],[f19,f226,f469]) ).

fof(f469,plain,
    ( spl0_62
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f19,axiom,
    ( ndr1_0
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).

fof(f946,plain,
    ( ~ spl0_34
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f95,f943,f339]) ).

fof(f339,plain,
    ( spl0_34
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f95,axiom,
    ( ~ c3_1(a554)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f940,plain,
    ( ~ spl0_149
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f88,f292,f937]) ).

fof(f292,plain,
    ( spl0_23
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f88,axiom,
    ( ~ hskp27
    | ~ c1_1(a568) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f935,plain,
    ( ~ spl0_148
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f112,f469,f932]) ).

fof(f112,axiom,
    ( ~ hskp13
    | ~ c3_1(a520) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f930,plain,
    ( ~ spl0_15
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f135,f927,f257]) ).

fof(f135,axiom,
    ( ~ c2_1(a494)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f925,plain,
    ( ~ spl0_54
    | spl0_146 ),
    inference(avatar_split_clause,[],[f68,f922,f429]) ).

fof(f68,axiom,
    ( c1_1(a528)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f917,plain,
    ( ~ spl0_81
    | spl0_145 ),
    inference(avatar_split_clause,[],[f83,f914,f555]) ).

fof(f555,plain,
    ( spl0_81
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f83,axiom,
    ( c2_1(a499)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f912,plain,
    ( spl0_8
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f17,f429,f226]) ).

fof(f17,axiom,
    ( ~ hskp15
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).

fof(f911,plain,
    ( spl0_123
    | ~ spl0_8
    | spl0_21
    | spl0_144 ),
    inference(avatar_split_clause,[],[f165,f909,f284,f226,f793]) ).

fof(f284,plain,
    ( spl0_21
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f165,axiom,
    ! [X0,X1] :
      ( c3_1(X0)
      | hskp22
      | ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f907,plain,
    ( ~ spl0_87
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f93,f904,f591]) ).

fof(f591,plain,
    ( spl0_87
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f93,axiom,
    ( ~ c3_1(a558)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f901,plain,
    ( ~ spl0_77
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f120,f898,f535]) ).

fof(f535,plain,
    ( spl0_77
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f120,axiom,
    ( ~ c0_1(a502)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f896,plain,
    ( spl0_24
    | spl0_29
    | spl0_51
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f136,f226,f419,f319,f297]) ).

fof(f297,plain,
    ( spl0_24
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f136,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | c3_1(X0)
      | hskp10
      | c2_1(X0)
      | c0_1(X0)
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f895,plain,
    ( ~ spl0_3
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f89,f892,f207]) ).

fof(f207,plain,
    ( spl0_3
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f89,axiom,
    ( ~ c0_1(a559)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f889,plain,
    ( spl0_72
    | spl0_51
    | ~ spl0_8
    | spl0_49 ),
    inference(avatar_split_clause,[],[f192,f412,f226,f419,f515]) ).

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

fof(f888,plain,
    ( ~ spl0_35
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f101,f885,f344]) ).

fof(f101,axiom,
    ( ~ c1_1(a536)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f883,plain,
    ( ~ spl0_30
    | spl0_139 ),
    inference(avatar_split_clause,[],[f78,f880,f324]) ).

fof(f78,axiom,
    ( c2_1(a505)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f878,plain,
    ( ~ spl0_138
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f119,f324,f875]) ).

fof(f119,axiom,
    ( ~ hskp8
    | ~ c0_1(a505) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f873,plain,
    ( spl0_137
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f41,f500,f870]) ).

fof(f41,axiom,
    ( ~ hskp31
    | c1_1(a522) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f868,plain,
    ( ~ spl0_8
    | spl0_81
    | spl0_77
    | spl0_123 ),
    inference(avatar_split_clause,[],[f146,f793,f535,f555,f226]) ).

fof(f146,axiom,
    ! [X0] :
      ( c3_1(X0)
      | hskp7
      | hskp5
      | ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f866,plain,
    ( spl0_7
    | spl0_3
    | spl0_24 ),
    inference(avatar_split_clause,[],[f38,f297,f207,f222]) ).

fof(f222,plain,
    ( spl0_7
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f38,axiom,
    ( hskp11
    | hskp26
    | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f860,plain,
    ( ~ spl0_69
    | spl0_135 ),
    inference(avatar_split_clause,[],[f42,f857,f500]) ).

fof(f42,axiom,
    ( c2_1(a522)
    | ~ hskp31 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f855,plain,
    ( ~ spl0_59
    | spl0_134 ),
    inference(avatar_split_clause,[],[f72,f852,f451]) ).

fof(f451,plain,
    ( spl0_59
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f72,axiom,
    ( c1_1(a514)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f850,plain,
    ( ~ spl0_10
    | spl0_133 ),
    inference(avatar_split_clause,[],[f49,f847,f236]) ).

fof(f49,axiom,
    ( c0_1(a500)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f845,plain,
    ( spl0_132
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f74,f297,f842]) ).

fof(f74,axiom,
    ( ~ hskp11
    | c0_1(a510) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f840,plain,
    ( ~ spl0_23
    | spl0_131 ),
    inference(avatar_split_clause,[],[f52,f837,f292]) ).

fof(f52,axiom,
    ( c0_1(a568)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f833,plain,
    ( ~ spl0_20
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f130,f830,f279]) ).

fof(f279,plain,
    ( spl0_20
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f130,axiom,
    ( ~ c2_1(a496)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f828,plain,
    ( ~ spl0_8
    | spl0_33
    | spl0_76
    | spl0_81 ),
    inference(avatar_split_clause,[],[f178,f555,f531,f335,f226]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( hskp5
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | c0_1(X1)
      | ~ c0_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f821,plain,
    ( ~ spl0_128
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f127,f198,f818]) ).

fof(f198,plain,
    ( spl0_1
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f127,axiom,
    ( ~ hskp3
    | ~ c0_1(a497) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f816,plain,
    ( spl0_127
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f44,f262,f813]) ).

fof(f262,plain,
    ( spl0_16
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f44,axiom,
    ( ~ hskp30
    | c2_1(a512) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f810,plain,
    ( ~ spl0_126
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f118,f372,f807]) ).

fof(f372,plain,
    ( spl0_41
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f118,axiom,
    ( ~ hskp9
    | ~ c1_1(a507) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f805,plain,
    ( ~ spl0_87
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f92,f802,f591]) ).

fof(f92,axiom,
    ( ~ c0_1(a558)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f800,plain,
    ( ~ spl0_8
    | spl0_41
    | spl0_46
    | spl0_124 ),
    inference(avatar_split_clause,[],[f164,f798,f396,f372,f226]) ).

fof(f164,axiom,
    ! [X0,X1] :
      ( c2_1(X0)
      | c1_1(X1)
      | ~ c0_1(X1)
      | c2_1(X1)
      | ~ c3_1(X0)
      | hskp9
      | c1_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f795,plain,
    ( ~ spl0_8
    | spl0_44
    | spl0_52
    | spl0_123 ),
    inference(avatar_split_clause,[],[f161,f793,f422,f386,f226]) ).

fof(f161,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c3_1(X1)
      | c1_1(X0)
      | hskp1
      | ~ ndr1_0
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f791,plain,
    ( ~ spl0_122
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f102,f344,f788]) ).

fof(f102,axiom,
    ( ~ hskp20
    | ~ c2_1(a536) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f774,plain,
    ( ~ spl0_8
    | spl0_62
    | spl0_16
    | spl0_75 ),
    inference(avatar_split_clause,[],[f144,f528,f262,f469,f226]) ).

fof(f144,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | c3_1(X0)
      | hskp30
      | hskp13
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f773,plain,
    ( ~ spl0_20
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f129,f770,f279]) ).

fof(f129,axiom,
    ( ~ c1_1(a496)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f766,plain,
    ( ~ spl0_59
    | spl0_8 ),
    inference(avatar_split_clause,[],[f20,f226,f451]) ).

fof(f20,axiom,
    ( ndr1_0
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).

fof(f765,plain,
    ( ~ spl0_21
    | spl0_118 ),
    inference(avatar_split_clause,[],[f58,f762,f284]) ).

fof(f58,axiom,
    ( c1_1(a540)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f760,plain,
    ( spl0_1
    | spl0_46
    | ~ spl0_8
    | spl0_76 ),
    inference(avatar_split_clause,[],[f181,f531,f226,f396,f198]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | hskp3
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f759,plain,
    ( ~ spl0_8
    | spl0_90
    | spl0_46
    | spl0_35 ),
    inference(avatar_split_clause,[],[f174,f344,f396,f606,f226]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( hskp20
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f758,plain,
    ( ~ spl0_69
    | spl0_117 ),
    inference(avatar_split_clause,[],[f40,f755,f500]) ).

fof(f40,axiom,
    ( c0_1(a522)
    | ~ hskp31 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f753,plain,
    ( spl0_116
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f50,f236,f750]) ).

fof(f50,axiom,
    ( ~ hskp28
    | c2_1(a500) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f743,plain,
    ( spl0_54
    | spl0_59
    | spl0_62 ),
    inference(avatar_split_clause,[],[f33,f469,f451,f429]) ).

fof(f33,axiom,
    ( hskp13
    | hskp12
    | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f742,plain,
    ( spl0_30
    | ~ spl0_8
    | spl0_59
    | spl0_76 ),
    inference(avatar_split_clause,[],[f156,f531,f451,f226,f324]) ).

fof(f156,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | hskp12
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f741,plain,
    ( ~ spl0_77
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f121,f738,f535]) ).

fof(f121,axiom,
    ( ~ c1_1(a502)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f736,plain,
    ( ~ spl0_40
    | spl0_113 ),
    inference(avatar_split_clause,[],[f60,f733,f367]) ).

fof(f60,axiom,
    ( c0_1(a538)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f731,plain,
    ( ~ spl0_8
    | spl0_72
    | spl0_41
    | spl0_46 ),
    inference(avatar_split_clause,[],[f175,f396,f372,f515,f226]) ).

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

fof(f725,plain,
    ( spl0_111
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f76,f319,f722]) ).

fof(f76,axiom,
    ( ~ hskp10
    | c3_1(a509) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f720,plain,
    ( spl0_20
    | spl0_17
    | spl0_30 ),
    inference(avatar_split_clause,[],[f39,f324,f266,f279]) ).

fof(f39,axiom,
    ( hskp8
    | hskp4
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f718,plain,
    ( spl0_110
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f53,f292,f715]) ).

fof(f53,axiom,
    ( ~ hskp27
    | c3_1(a568) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f712,plain,
    ( ~ spl0_34
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f94,f709,f339]) ).

fof(f94,axiom,
    ( ~ c2_1(a554)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f702,plain,
    ( ~ spl0_8
    | spl0_46
    | spl0_40
    | spl0_53 ),
    inference(avatar_split_clause,[],[f176,f425,f367,f396,f226]) ).

fof(f176,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0)
      | hskp21
      | ~ c0_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f701,plain,
    ( ~ spl0_16
    | spl0_107 ),
    inference(avatar_split_clause,[],[f43,f698,f262]) ).

fof(f43,axiom,
    ( c1_1(a512)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f691,plain,
    ( ~ spl0_41
    | spl0_105 ),
    inference(avatar_split_clause,[],[f77,f688,f372]) ).

fof(f77,axiom,
    ( c3_1(a507)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f686,plain,
    ( ~ spl0_87
    | spl0_104 ),
    inference(avatar_split_clause,[],[f54,f683,f591]) ).

fof(f54,axiom,
    ( c2_1(a558)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f680,plain,
    ( spl0_103
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f55,f339,f677]) ).

fof(f55,axiom,
    ( ~ hskp24
    | c0_1(a554) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f675,plain,
    ( spl0_3
    | spl0_23
    | spl0_29 ),
    inference(avatar_split_clause,[],[f37,f319,f292,f207]) ).

fof(f37,axiom,
    ( hskp10
    | hskp27
    | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f674,plain,
    ( ~ spl0_11
    | spl0_102 ),
    inference(avatar_split_clause,[],[f66,f671,f240]) ).

fof(f240,plain,
    ( spl0_11
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f66,axiom,
    ( c3_1(a530)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f669,plain,
    ( spl0_101
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f82,f555,f666]) ).

fof(f82,axiom,
    ( ~ hskp5
    | c0_1(a499) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f663,plain,
    ( spl0_18
    | ~ spl0_8
    | spl0_71
    | spl0_5 ),
    inference(avatar_split_clause,[],[f191,f216,f510,f226,f270]) ).

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

fof(f662,plain,
    ( spl0_100
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f80,f231,f659]) ).

fof(f231,plain,
    ( spl0_9
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f80,axiom,
    ( ~ hskp6
    | c1_1(a501) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f656,plain,
    ( ~ spl0_8
    | spl0_50
    | spl0_6
    | spl0_34 ),
    inference(avatar_split_clause,[],[f185,f339,f219,f415,f226]) ).

fof(f185,axiom,
    ! [X0,X1] :
      ( hskp24
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | c2_1(X1)
      | c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f653,plain,
    ( ~ spl0_81
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f124,f650,f555]) ).

fof(f124,axiom,
    ( ~ c1_1(a499)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f648,plain,
    ( spl0_98
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f70,f469,f645]) ).

fof(f70,axiom,
    ( ~ hskp13
    | c0_1(a520) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f643,plain,
    ( ~ spl0_8
    | spl0_97
    | spl0_72
    | spl0_32 ),
    inference(avatar_split_clause,[],[f193,f331,f515,f641,f226]) ).

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

fof(f634,plain,
    ( ~ spl0_59
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f113,f631,f451]) ).

fof(f113,axiom,
    ( ~ c2_1(a514)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f629,plain,
    ( spl0_94
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f71,f469,f626]) ).

fof(f71,axiom,
    ( ~ hskp13
    | c2_1(a520) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f619,plain,
    ( ~ spl0_92
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f126,f266,f616]) ).

fof(f126,axiom,
    ( ~ hskp4
    | ~ c2_1(a498) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f614,plain,
    ( spl0_91
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f65,f240,f611]) ).

fof(f65,axiom,
    ( ~ hskp16
    | c2_1(a530) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f609,plain,
    ( spl0_32
    | spl0_44
    | spl0_77
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f143,f226,f535,f386,f331]) ).

fof(f143,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp7
      | hskp1
      | c3_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f608,plain,
    ( spl0_77
    | spl0_71
    | spl0_90
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f169,f226,f606,f510,f535]) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0)
      | c1_1(X0)
      | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f604,plain,
    ( spl0_89
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f73,f451,f601]) ).

fof(f73,axiom,
    ( ~ hskp12
    | c3_1(a514) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f599,plain,
    ( ~ spl0_44
    | spl0_88 ),
    inference(avatar_split_clause,[],[f86,f596,f386]) ).

fof(f86,axiom,
    ( c1_1(a495)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f594,plain,
    ( spl0_87
    | ~ spl0_8
    | spl0_11
    | spl0_72 ),
    inference(avatar_split_clause,[],[f155,f515,f240,f226,f591]) ).

fof(f155,axiom,
    ! [X0] :
      ( ~ c1_1(X0)
      | hskp16
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f578,plain,
    ( spl0_10
    | spl0_62
    | spl0_29 ),
    inference(avatar_split_clause,[],[f34,f319,f469,f236]) ).

fof(f34,axiom,
    ( hskp10
    | hskp13
    | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f577,plain,
    ( ~ spl0_21
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f97,f574,f284]) ).

fof(f97,axiom,
    ( ~ c0_1(a540)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f571,plain,
    ( ~ spl0_8
    | spl0_63
    | spl0_20
    | spl0_72 ),
    inference(avatar_split_clause,[],[f188,f515,f279,f474,f226]) ).

fof(f188,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X1)
      | c3_1(X1)
      | hskp2
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

fof(f570,plain,
    ( ~ spl0_17
    | spl0_83 ),
    inference(avatar_split_clause,[],[f84,f567,f266]) ).

fof(f84,axiom,
    ( c1_1(a498)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f565,plain,
    ( spl0_17
    | ~ spl0_8
    | spl0_7
    | spl0_12 ),
    inference(avatar_split_clause,[],[f151,f244,f222,f226,f266]) ).

fof(f151,axiom,
    ! [X0] :
      ( ~ c3_1(X0)
      | hskp17
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp4
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f563,plain,
    ( ~ spl0_16
    | spl0_82 ),
    inference(avatar_split_clause,[],[f45,f560,f262]) ).

fof(f45,axiom,
    ( c3_1(a512)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f558,plain,
    ( spl0_17
    | ~ spl0_8
    | spl0_81
    | spl0_49 ),
    inference(avatar_split_clause,[],[f152,f412,f555,f226,f266]) ).

fof(f152,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | hskp5
      | ~ ndr1_0
      | ~ c1_1(X0)
      | hskp4
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f553,plain,
    ( ~ spl0_80
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f128,f198,f550]) ).

fof(f128,axiom,
    ( ~ hskp3
    | ~ c1_1(a497) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f548,plain,
    ( spl0_17
    | ~ spl0_8
    | spl0_33
    | spl0_6 ),
    inference(avatar_split_clause,[],[f168,f219,f335,f226,f266]) ).

fof(f168,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X1)
      | hskp4
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f547,plain,
    ( ~ spl0_79
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f106,f222,f544]) ).

fof(f106,axiom,
    ( ~ hskp17
    | ~ c1_1(a532) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f542,plain,
    ( ~ spl0_77
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f122,f539,f535]) ).

fof(f122,axiom,
    ( ~ c3_1(a502)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f526,plain,
    ( spl0_74
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f59,f284,f523]) ).

fof(f59,axiom,
    ( ~ hskp22
    | c3_1(a540) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f521,plain,
    ( spl0_58
    | spl0_15
    | ~ spl0_8
    | spl0_73 ),
    inference(avatar_split_clause,[],[f160,f519,f226,f257,f448]) ).

fof(f160,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | ~ ndr1_0
      | hskp0
      | ~ c2_1(X0)
      | c3_1(X0)
      | c1_1(X0)
      | c1_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f517,plain,
    ( spl0_31
    | spl0_55
    | ~ spl0_8
    | spl0_72 ),
    inference(avatar_split_clause,[],[f196,f515,f226,f435,f328]) ).

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

fof(f508,plain,
    ( ~ spl0_70
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f107,f222,f505]) ).

fof(f107,axiom,
    ( ~ hskp17
    | ~ c2_1(a532) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f487,plain,
    ( ~ spl0_41
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f117,f484,f372]) ).

fof(f117,axiom,
    ( ~ c0_1(a507)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f481,plain,
    ( ~ spl0_54
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f109,f478,f429]) ).

fof(f109,axiom,
    ( ~ c3_1(a528)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f476,plain,
    ( ~ spl0_8
    | spl0_63
    | spl0_15
    | spl0_53 ),
    inference(avatar_split_clause,[],[f189,f425,f257,f474,f226]) ).

fof(f189,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X1)
      | hskp0
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).

fof(f472,plain,
    ( spl0_62
    | ~ spl0_8
    | spl0_22
    | spl0_1 ),
    inference(avatar_split_clause,[],[f157,f198,f288,f226,f469]) ).

fof(f157,axiom,
    ! [X0] :
      ( hskp3
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp13
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f466,plain,
    ( ~ spl0_9
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f123,f463,f231]) ).

fof(f123,axiom,
    ( ~ c3_1(a501)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f461,plain,
    ( ~ spl0_20
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f131,f458,f279]) ).

fof(f131,axiom,
    ( ~ c3_1(a496)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f455,plain,
    ( spl0_9
    | ~ spl0_8
    | spl0_49
    | spl0_51 ),
    inference(avatar_split_clause,[],[f162,f419,f412,f226,f231]) ).

fof(f162,axiom,
    ! [X0,X1] :
      ( c3_1(X1)
      | c0_1(X1)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | ~ c0_1(X0)
      | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f437,plain,
    ( ~ spl0_8
    | spl0_29
    | spl0_46
    | spl0_55 ),
    inference(avatar_split_clause,[],[f172,f435,f396,f319,f226]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | hskp10
      | c1_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f433,plain,
    ( spl0_54
    | spl0_29
    | ~ spl0_8
    | spl0_50 ),
    inference(avatar_split_clause,[],[f153,f415,f226,f319,f429]) ).

fof(f153,axiom,
    ! [X0] :
      ( c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | hskp10
      | hskp15
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f432,plain,
    ( ~ spl0_8
    | spl0_12
    | spl0_49
    | spl0_54 ),
    inference(avatar_split_clause,[],[f180,f429,f412,f244,f226]) ).

fof(f180,axiom,
    ! [X0,X1] :
      ( hskp15
      | ~ c0_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f427,plain,
    ( ~ spl0_8
    | spl0_51
    | spl0_52
    | spl0_53 ),
    inference(avatar_split_clause,[],[f190,f425,f422,f419,f226]) ).

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

fof(f417,plain,
    ( spl0_20
    | spl0_49
    | ~ spl0_8
    | spl0_50 ),
    inference(avatar_split_clause,[],[f184,f415,f226,f412,f279]) ).

fof(f184,axiom,
    ! [X0,X1] :
      ( c2_1(X0)
      | ~ ndr1_0
      | c2_1(X1)
      | hskp2
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f410,plain,
    ( ~ spl0_17
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f125,f407,f266]) ).

fof(f125,axiom,
    ( ~ c0_1(a498)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f404,plain,
    ( spl0_47
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f64,f222,f401]) ).

fof(f64,axiom,
    ( ~ hskp17
    | c3_1(a532) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f398,plain,
    ( ~ spl0_8
    | spl0_41
    | spl0_18
    | spl0_46 ),
    inference(avatar_split_clause,[],[f163,f396,f270,f372,f226]) ).

fof(f163,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | hskp9
      | ~ ndr1_0
      | ~ c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f394,plain,
    ( ~ spl0_45
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f108,f240,f391]) ).

fof(f108,axiom,
    ( ~ hskp16
    | ~ c1_1(a530) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f389,plain,
    ( ~ spl0_43
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f133,f386,f382]) ).

fof(f133,axiom,
    ( ~ hskp1
    | ~ c3_1(a495) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f380,plain,
    ( ~ spl0_42
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f114,f297,f377]) ).

fof(f114,axiom,
    ( ~ hskp11
    | ~ c1_1(a510) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f370,plain,
    ( ~ spl0_39
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f98,f367,f363]) ).

fof(f98,axiom,
    ( ~ hskp21
    | ~ c1_1(a538) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f333,plain,
    ( spl0_30
    | ~ spl0_8
    | spl0_31
    | spl0_32 ),
    inference(avatar_split_clause,[],[f171,f331,f328,f226,f324]) ).

fof(f171,axiom,
    ! [X0,X1] :
      ( c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f322,plain,
    ( ~ spl0_28
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f116,f319,f315]) ).

fof(f116,axiom,
    ( ~ hskp10
    | ~ c2_1(a509) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f304,plain,
    ( ~ spl0_24
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f115,f301,f297]) ).

fof(f115,axiom,
    ( ~ c2_1(a510)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f277,plain,
    ( spl0_19
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f81,f231,f274]) ).

fof(f81,axiom,
    ( ~ hskp6
    | c2_1(a501) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f260,plain,
    ( spl0_14
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f87,f257,f253]) ).

fof(f87,axiom,
    ( ~ hskp0
    | c3_1(a494) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f251,plain,
    ( ~ spl0_13
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f90,f207,f248]) ).

fof(f90,axiom,
    ( ~ hskp26
    | ~ c2_1(a559) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f246,plain,
    ( ~ spl0_8
    | spl0_10
    | spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f150,f244,f240,f236,f226]) ).

fof(f150,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | hskp16
      | hskp28
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f229,plain,
    ( spl0_5
    | spl0_6
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f186,f226,f222,f219,f216]) ).

fof(f186,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp17
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | c2_1(X1)
      | ~ c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

fof(f214,plain,
    ( ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f91,f211,f207]) ).

fof(f91,axiom,
    ( ~ c3_1(a559)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f205,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f85,f202,f198]) ).

fof(f85,axiom,
    ( c2_1(a497)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN470-1 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 22:11:36 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.52  % (2501)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53  % (2515)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)
% 0.20/0.53  % (2495)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)
% 0.20/0.54  % (2494)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)
% 0.20/0.54  % (2499)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)
% 0.20/0.54  % (2501)Instruction limit reached!
% 0.20/0.54  % (2501)------------------------------
% 0.20/0.54  % (2501)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (2501)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (2501)Termination reason: Unknown
% 0.20/0.54  % (2501)Termination phase: Blocked clause elimination
% 0.20/0.54  
% 0.20/0.54  % (2501)Memory used [KB]: 1151
% 0.20/0.54  % (2501)Time elapsed: 0.004 s
% 0.20/0.54  % (2501)Instructions burned: 3 (million)
% 0.20/0.54  % (2501)------------------------------
% 0.20/0.54  % (2501)------------------------------
% 0.20/0.54  % (2516)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)
% 0.20/0.55  % (2509)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)
% 0.20/0.55  % (2496)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)
% 0.20/0.55  % (2506)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  % (2502)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)
% 0.20/0.55  % (2500)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55  % (2508)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)
% 0.20/0.55  % (2513)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)
% 0.20/0.55  % (2514)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55  % (2500)Instruction limit reached!
% 0.20/0.55  % (2500)------------------------------
% 0.20/0.55  % (2500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (2500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (2500)Termination reason: Unknown
% 0.20/0.56  % (2500)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (2500)Memory used [KB]: 6012
% 0.20/0.56  % (2500)Time elapsed: 0.108 s
% 0.20/0.56  % (2500)Instructions burned: 7 (million)
% 0.20/0.56  % (2500)------------------------------
% 0.20/0.56  % (2500)------------------------------
% 0.20/0.56  % (2507)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)
% 0.20/0.56  % (2503)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56  % (2518)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.56  % (2521)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.56  % (2512)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)
% 0.20/0.56  % (2517)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.56  % (2493)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)
% 0.20/0.56  Detected maximum model sizes of [32]
% 0.20/0.56  TRYING [1]
% 0.20/0.56  % (2498)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)
% 0.20/0.56  % (2522)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)
% 0.20/0.56  TRYING [2]
% 0.20/0.57  TRYING [3]
% 0.20/0.57  % (2519)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)
% 0.20/0.57  Detected maximum model sizes of [32]
% 0.20/0.57  TRYING [1]
% 0.20/0.57  % (2497)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.57  TRYING [2]
% 0.20/0.57  % (2505)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.57  % (2495)Instruction limit reached!
% 0.20/0.57  % (2495)------------------------------
% 0.20/0.57  % (2495)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (2495)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (2495)Termination reason: Unknown
% 0.20/0.57  % (2495)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (2495)Memory used [KB]: 1279
% 0.20/0.57  % (2495)Time elapsed: 0.144 s
% 0.20/0.57  % (2495)Instructions burned: 37 (million)
% 0.20/0.57  % (2495)------------------------------
% 0.20/0.57  % (2495)------------------------------
% 0.20/0.57  % (2504)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)
% 0.20/0.58  % (2510)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.58  TRYING [3]
% 0.20/0.58  Detected maximum model sizes of [32]
% 0.20/0.59  TRYING [4]
% 0.20/0.59  % (2520)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)
% 0.20/0.59  TRYING [4]
% 0.20/0.60  TRYING [1]
% 0.20/0.60  % (2511)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.60  TRYING [2]
% 0.20/0.60  TRYING [3]
% 1.90/0.61  % (2494)Instruction limit reached!
% 1.90/0.61  % (2494)------------------------------
% 1.90/0.61  % (2494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.61  TRYING [4]
% 1.90/0.62  % (2499)Instruction limit reached!
% 1.90/0.62  % (2499)------------------------------
% 1.90/0.62  % (2499)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.62  % (2499)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.62  % (2499)Termination reason: Unknown
% 1.90/0.62  % (2499)Termination phase: Finite model building SAT solving
% 1.90/0.62  
% 1.90/0.62  % (2499)Memory used [KB]: 6140
% 1.90/0.62  % (2499)Time elapsed: 0.175 s
% 1.90/0.62  % (2499)Instructions burned: 53 (million)
% 1.90/0.62  % (2499)------------------------------
% 1.90/0.62  % (2499)------------------------------
% 2.15/0.63  % (2496)First to succeed.
% 2.15/0.63  TRYING [5]
% 2.15/0.63  % (2494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.63  % (2494)Termination reason: Unknown
% 2.15/0.63  % (2494)Termination phase: Saturation
% 2.15/0.63  
% 2.15/0.63  % (2494)Memory used [KB]: 6524
% 2.15/0.63  % (2494)Time elapsed: 0.198 s
% 2.15/0.63  % (2494)Instructions burned: 50 (million)
% 2.15/0.63  % (2494)------------------------------
% 2.15/0.63  % (2494)------------------------------
% 2.15/0.64  % (2502)Instruction limit reached!
% 2.15/0.64  % (2502)------------------------------
% 2.15/0.64  % (2502)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.64  % (2502)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.64  % (2502)Termination reason: Unknown
% 2.15/0.64  % (2502)Termination phase: Saturation
% 2.15/0.64  
% 2.15/0.64  % (2502)Memory used [KB]: 1407
% 2.15/0.64  % (2502)Time elapsed: 0.217 s
% 2.15/0.64  % (2502)Instructions burned: 53 (million)
% 2.15/0.64  % (2502)------------------------------
% 2.15/0.64  % (2502)------------------------------
% 2.15/0.64  % (2510)Instruction limit reached!
% 2.15/0.64  % (2510)------------------------------
% 2.15/0.64  % (2510)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.64  % (2510)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.64  % (2510)Termination reason: Unknown
% 2.15/0.64  % (2510)Termination phase: Finite model building SAT solving
% 2.15/0.64  
% 2.15/0.64  % (2510)Memory used [KB]: 6140
% 2.15/0.64  % (2510)Time elapsed: 0.185 s
% 2.15/0.64  % (2510)Instructions burned: 59 (million)
% 2.15/0.64  % (2510)------------------------------
% 2.15/0.64  % (2510)------------------------------
% 2.30/0.65  % (2498)Instruction limit reached!
% 2.30/0.65  % (2498)------------------------------
% 2.30/0.65  % (2498)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.65  % (2498)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.65  % (2498)Termination reason: Unknown
% 2.30/0.65  % (2498)Termination phase: Saturation
% 2.30/0.65  
% 2.30/0.65  % (2498)Memory used [KB]: 6908
% 2.30/0.65  % (2498)Time elapsed: 0.238 s
% 2.30/0.65  % (2498)Instructions burned: 49 (million)
% 2.30/0.65  % (2498)------------------------------
% 2.30/0.65  % (2498)------------------------------
% 2.30/0.66  % (2496)Refutation found. Thanks to Tanya!
% 2.30/0.66  % SZS status Unsatisfiable for theBenchmark
% 2.30/0.66  % SZS output start Proof for theBenchmark
% See solution above
% 2.30/0.66  % (2496)------------------------------
% 2.30/0.66  % (2496)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.66  % (2496)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.66  % (2496)Termination reason: Refutation
% 2.30/0.66  
% 2.30/0.66  % (2496)Memory used [KB]: 6780
% 2.30/0.66  % (2496)Time elapsed: 0.224 s
% 2.30/0.66  % (2496)Instructions burned: 43 (million)
% 2.30/0.66  % (2496)------------------------------
% 2.30/0.66  % (2496)------------------------------
% 2.30/0.66  % (2492)Success in time 0.306 s
%------------------------------------------------------------------------------