TSTP Solution File: SYN502-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN502-1 : 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 : n019.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 19:38:34 EDT 2022

% Result   : Unsatisfiable 1.77s 0.58s
% Output   : Refutation 1.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  290
% Syntax   : Number of formulae    :  653 (   1 unt;   0 def)
%            Number of atoms       : 2139 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2502 (1016   ~;1305   |;   0   &)
%                                         ( 181 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  211 ( 210 usr; 207 prp; 0-1 aty)
%            Number of functors    :   23 (  23 usr;  23 con; 0-0 aty)
%            Number of variables   :  207 ( 207   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2606,plain,
    $false,
    inference(avatar_sat_refutation,[],[f323,f344,f365,f407,f424,f448,f458,f463,f468,f473,f489,f490,f495,f503,f515,f524,f532,f540,f580,f587,f596,f601,f606,f607,f626,f630,f643,f648,f657,f666,f684,f689,f701,f706,f711,f733,f742,f747,f748,f758,f763,f767,f772,f773,f778,f783,f787,f792,f793,f807,f812,f828,f844,f854,f859,f864,f878,f883,f897,f903,f904,f910,f920,f925,f926,f934,f945,f950,f957,f962,f963,f974,f979,f984,f989,f996,f997,f998,f1003,f1013,f1021,f1026,f1032,f1037,f1052,f1068,f1080,f1085,f1086,f1088,f1093,f1094,f1100,f1105,f1111,f1118,f1120,f1121,f1122,f1137,f1142,f1166,f1167,f1177,f1182,f1184,f1189,f1196,f1197,f1202,f1207,f1213,f1214,f1219,f1221,f1226,f1237,f1242,f1247,f1257,f1263,f1270,f1275,f1276,f1288,f1294,f1296,f1306,f1307,f1312,f1317,f1330,f1331,f1337,f1338,f1340,f1366,f1378,f1379,f1383,f1397,f1404,f1414,f1416,f1445,f1473,f1478,f1486,f1517,f1526,f1527,f1533,f1553,f1577,f1578,f1686,f1701,f1786,f1789,f1800,f1805,f1806,f1808,f1809,f1830,f1862,f1874,f1877,f1900,f1917,f1937,f2021,f2146,f2147,f2173,f2228,f2230,f2232,f2240,f2286,f2287,f2343,f2395,f2475,f2484,f2541,f2546,f2547,f2601,f2603]) ).

fof(f2603,plain,
    ( ~ spl46_210
    | spl46_165
    | spl46_25
    | ~ spl46_75 ),
    inference(avatar_split_clause,[],[f2597,f628,f400,f1097,f1401]) ).

fof(f1401,plain,
    ( spl46_210
  <=> c3_1(a235) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_210])]) ).

fof(f1097,plain,
    ( spl46_165
  <=> c2_1(a235) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_165])]) ).

fof(f400,plain,
    ( spl46_25
  <=> c1_1(a235) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_25])]) ).

fof(f628,plain,
    ( spl46_75
  <=> ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_75])]) ).

fof(f2597,plain,
    ( c2_1(a235)
    | ~ c3_1(a235)
    | spl46_25
    | ~ spl46_75 ),
    inference(resolution,[],[f629,f402]) ).

fof(f402,plain,
    ( ~ c1_1(a235)
    | spl46_25 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f629,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl46_75 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f2601,plain,
    ( spl46_123
    | ~ spl46_18
    | ~ spl46_75 ),
    inference(avatar_split_clause,[],[f2598,f628,f371,f866]) ).

fof(f866,plain,
    ( spl46_123
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_123])]) ).

fof(f371,plain,
    ( spl46_18
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_18])]) ).

fof(f2598,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl46_18
    | ~ spl46_75 ),
    inference(duplicate_literal_removal,[],[f2584]) ).

fof(f2584,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl46_18
    | ~ spl46_75 ),
    inference(resolution,[],[f629,f372]) ).

fof(f372,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl46_18 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f2547,plain,
    ( spl46_229
    | spl46_183
    | ~ spl46_20
    | spl46_69 ),
    inference(avatar_split_clause,[],[f2510,f598,f379,f1204,f2369]) ).

fof(f2369,plain,
    ( spl46_229
  <=> c2_1(a252) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_229])]) ).

fof(f1204,plain,
    ( spl46_183
  <=> c3_1(a252) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_183])]) ).

fof(f379,plain,
    ( spl46_20
  <=> ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_20])]) ).

fof(f598,plain,
    ( spl46_69
  <=> c1_1(a252) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_69])]) ).

fof(f2510,plain,
    ( c3_1(a252)
    | c2_1(a252)
    | ~ spl46_20
    | spl46_69 ),
    inference(resolution,[],[f380,f600]) ).

fof(f600,plain,
    ( ~ c1_1(a252)
    | spl46_69 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f380,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl46_20 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f2546,plain,
    ( ~ spl46_162
    | ~ spl46_38
    | ~ spl46_56
    | spl46_129 ),
    inference(avatar_split_clause,[],[f2525,f894,f538,f460,f1077]) ).

fof(f1077,plain,
    ( spl46_162
  <=> c3_1(a269) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_162])]) ).

fof(f460,plain,
    ( spl46_38
  <=> c0_1(a269) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_38])]) ).

fof(f538,plain,
    ( spl46_56
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_56])]) ).

fof(f894,plain,
    ( spl46_129
  <=> c1_1(a269) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_129])]) ).

fof(f2525,plain,
    ( ~ c0_1(a269)
    | ~ c3_1(a269)
    | ~ spl46_56
    | spl46_129 ),
    inference(resolution,[],[f539,f896]) ).

fof(f896,plain,
    ( ~ c1_1(a269)
    | spl46_129 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f539,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl46_56 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f2541,plain,
    ( ~ spl46_185
    | ~ spl46_226
    | ~ spl46_56
    | spl46_178 ),
    inference(avatar_split_clause,[],[f2532,f1174,f538,f1897,f1216]) ).

fof(f1216,plain,
    ( spl46_185
  <=> c3_1(a239) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_185])]) ).

fof(f1897,plain,
    ( spl46_226
  <=> c0_1(a239) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_226])]) ).

fof(f1174,plain,
    ( spl46_178
  <=> c1_1(a239) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_178])]) ).

fof(f2532,plain,
    ( ~ c0_1(a239)
    | ~ c3_1(a239)
    | ~ spl46_56
    | spl46_178 ),
    inference(resolution,[],[f539,f1176]) ).

fof(f1176,plain,
    ( ~ c1_1(a239)
    | spl46_178 ),
    inference(avatar_component_clause,[],[f1174]) ).

fof(f2484,plain,
    ( ~ spl46_190
    | ~ spl46_205
    | spl46_36
    | ~ spl46_54 ),
    inference(avatar_split_clause,[],[f2483,f530,f451,f1334,f1244]) ).

fof(f1244,plain,
    ( spl46_190
  <=> c2_1(a274) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_190])]) ).

fof(f1334,plain,
    ( spl46_205
  <=> c0_1(a274) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_205])]) ).

fof(f451,plain,
    ( spl46_36
  <=> c3_1(a274) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_36])]) ).

fof(f530,plain,
    ( spl46_54
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_54])]) ).

fof(f2483,plain,
    ( ~ c0_1(a274)
    | ~ c2_1(a274)
    | spl46_36
    | ~ spl46_54 ),
    inference(resolution,[],[f453,f531]) ).

fof(f531,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl46_54 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f453,plain,
    ( ~ c3_1(a274)
    | spl46_36 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f2475,plain,
    ( ~ spl46_106
    | spl46_221
    | ~ spl46_49
    | ~ spl46_148 ),
    inference(avatar_split_clause,[],[f2463,f1000,f509,f1797,f780]) ).

fof(f780,plain,
    ( spl46_106
  <=> c3_1(a240) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_106])]) ).

fof(f1797,plain,
    ( spl46_221
  <=> c0_1(a240) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_221])]) ).

fof(f509,plain,
    ( spl46_49
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_49])]) ).

fof(f1000,plain,
    ( spl46_148
  <=> c1_1(a240) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_148])]) ).

fof(f2463,plain,
    ( c0_1(a240)
    | ~ c3_1(a240)
    | ~ spl46_49
    | ~ spl46_148 ),
    inference(resolution,[],[f510,f1002]) ).

fof(f1002,plain,
    ( c1_1(a240)
    | ~ spl46_148 ),
    inference(avatar_component_clause,[],[f1000]) ).

fof(f510,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl46_49 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f2395,plain,
    ( ~ spl46_229
    | ~ spl46_195
    | ~ spl46_54
    | spl46_183 ),
    inference(avatar_split_clause,[],[f2394,f1204,f530,f1272,f2369]) ).

fof(f1272,plain,
    ( spl46_195
  <=> c0_1(a252) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_195])]) ).

fof(f2394,plain,
    ( ~ c0_1(a252)
    | ~ c2_1(a252)
    | ~ spl46_54
    | spl46_183 ),
    inference(resolution,[],[f1206,f531]) ).

fof(f1206,plain,
    ( ~ c3_1(a252)
    | spl46_183 ),
    inference(avatar_component_clause,[],[f1204]) ).

fof(f2343,plain,
    ( spl46_30
    | ~ spl46_20
    | spl46_40
    | ~ spl46_47 ),
    inference(avatar_split_clause,[],[f2337,f501,f470,f379,f421]) ).

fof(f421,plain,
    ( spl46_30
  <=> c2_1(a238) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_30])]) ).

fof(f470,plain,
    ( spl46_40
  <=> c3_1(a238) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_40])]) ).

fof(f501,plain,
    ( spl46_47
  <=> ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_47])]) ).

fof(f2337,plain,
    ( c2_1(a238)
    | ~ spl46_20
    | spl46_40
    | ~ spl46_47 ),
    inference(resolution,[],[f1935,f472]) ).

fof(f472,plain,
    ( ~ c3_1(a238)
    | spl46_40 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f1935,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c2_1(X1) )
    | ~ spl46_20
    | ~ spl46_47 ),
    inference(duplicate_literal_removal,[],[f1921]) ).

fof(f1921,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c3_1(X1)
        | c2_1(X1)
        | c2_1(X1) )
    | ~ spl46_20
    | ~ spl46_47 ),
    inference(resolution,[],[f502,f380]) ).

fof(f502,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl46_47 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f2287,plain,
    ( spl46_108
    | spl46_206
    | ~ spl46_137
    | spl46_186 ),
    inference(avatar_split_clause,[],[f2273,f1223,f938,f1345,f789]) ).

fof(f789,plain,
    ( spl46_108
  <=> c3_1(a251) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_108])]) ).

fof(f1345,plain,
    ( spl46_206
  <=> c0_1(a251) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_206])]) ).

fof(f938,plain,
    ( spl46_137
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_137])]) ).

fof(f1223,plain,
    ( spl46_186
  <=> c1_1(a251) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_186])]) ).

fof(f2273,plain,
    ( c0_1(a251)
    | c3_1(a251)
    | ~ spl46_137
    | spl46_186 ),
    inference(resolution,[],[f939,f1225]) ).

fof(f1225,plain,
    ( ~ c1_1(a251)
    | spl46_186 ),
    inference(avatar_component_clause,[],[f1223]) ).

fof(f939,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl46_137 ),
    inference(avatar_component_clause,[],[f938]) ).

fof(f2286,plain,
    ( spl46_126
    | spl46_200
    | spl46_87
    | ~ spl46_137 ),
    inference(avatar_split_clause,[],[f2280,f938,f686,f1303,f880]) ).

fof(f880,plain,
    ( spl46_126
  <=> c0_1(a263) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_126])]) ).

fof(f1303,plain,
    ( spl46_200
  <=> c3_1(a263) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_200])]) ).

fof(f686,plain,
    ( spl46_87
  <=> c1_1(a263) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_87])]) ).

fof(f2280,plain,
    ( c3_1(a263)
    | c0_1(a263)
    | spl46_87
    | ~ spl46_137 ),
    inference(resolution,[],[f939,f688]) ).

fof(f688,plain,
    ( ~ c1_1(a263)
    | spl46_87 ),
    inference(avatar_component_clause,[],[f686]) ).

fof(f2240,plain,
    ( ~ spl46_168
    | spl46_192
    | ~ spl46_91
    | ~ spl46_123 ),
    inference(avatar_split_clause,[],[f1763,f866,f708,f1254,f1115]) ).

fof(f1115,plain,
    ( spl46_168
  <=> c0_1(a249) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_168])]) ).

fof(f1254,plain,
    ( spl46_192
  <=> c2_1(a249) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_192])]) ).

fof(f708,plain,
    ( spl46_91
  <=> c3_1(a249) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_91])]) ).

fof(f1763,plain,
    ( c2_1(a249)
    | ~ c0_1(a249)
    | ~ spl46_91
    | ~ spl46_123 ),
    inference(resolution,[],[f867,f710]) ).

fof(f710,plain,
    ( c3_1(a249)
    | ~ spl46_91 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f867,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl46_123 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f2232,plain,
    ( ~ spl46_226
    | ~ spl46_9
    | ~ spl46_96
    | spl46_150 ),
    inference(avatar_split_clause,[],[f2220,f1010,f731,f333,f1897]) ).

fof(f333,plain,
    ( spl46_9
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_9])]) ).

fof(f731,plain,
    ( spl46_96
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_96])]) ).

fof(f1010,plain,
    ( spl46_150
  <=> c2_1(a239) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_150])]) ).

fof(f2220,plain,
    ( ~ c0_1(a239)
    | ~ spl46_9
    | ~ spl46_96
    | spl46_150 ),
    inference(resolution,[],[f1648,f1012]) ).

fof(f1012,plain,
    ( ~ c2_1(a239)
    | spl46_150 ),
    inference(avatar_component_clause,[],[f1010]) ).

fof(f1648,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | ~ c0_1(X2) )
    | ~ spl46_9
    | ~ spl46_96 ),
    inference(duplicate_literal_removal,[],[f1639]) ).

fof(f1639,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | c2_1(X2)
        | c2_1(X2)
        | ~ c0_1(X2) )
    | ~ spl46_9
    | ~ spl46_96 ),
    inference(resolution,[],[f732,f334]) ).

fof(f334,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl46_9 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f732,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl46_96 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f2230,plain,
    ( ~ spl46_6
    | ~ spl46_9
    | ~ spl46_96
    | spl46_202 ),
    inference(avatar_split_clause,[],[f2215,f1314,f731,f333,f320]) ).

fof(f320,plain,
    ( spl46_6
  <=> c0_1(a271) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_6])]) ).

fof(f1314,plain,
    ( spl46_202
  <=> c2_1(a271) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_202])]) ).

fof(f2215,plain,
    ( ~ c0_1(a271)
    | ~ spl46_9
    | ~ spl46_96
    | spl46_202 ),
    inference(resolution,[],[f1648,f1316]) ).

fof(f1316,plain,
    ( ~ c2_1(a271)
    | spl46_202 ),
    inference(avatar_component_clause,[],[f1314]) ).

fof(f2228,plain,
    ( ~ spl46_181
    | ~ spl46_9
    | spl46_30
    | ~ spl46_96 ),
    inference(avatar_split_clause,[],[f2221,f731,f421,f333,f1193]) ).

fof(f1193,plain,
    ( spl46_181
  <=> c0_1(a238) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_181])]) ).

fof(f2221,plain,
    ( ~ c0_1(a238)
    | ~ spl46_9
    | spl46_30
    | ~ spl46_96 ),
    inference(resolution,[],[f1648,f423]) ).

fof(f423,plain,
    ( ~ c2_1(a238)
    | spl46_30 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f2173,plain,
    ( ~ spl46_212
    | ~ spl46_162
    | spl46_129
    | ~ spl46_156 ),
    inference(avatar_split_clause,[],[f2158,f1045,f894,f1077,f1442]) ).

fof(f1442,plain,
    ( spl46_212
  <=> c2_1(a269) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_212])]) ).

fof(f1045,plain,
    ( spl46_156
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_156])]) ).

fof(f2158,plain,
    ( ~ c3_1(a269)
    | ~ c2_1(a269)
    | spl46_129
    | ~ spl46_156 ),
    inference(resolution,[],[f1046,f896]) ).

fof(f1046,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl46_156 ),
    inference(avatar_component_clause,[],[f1045]) ).

fof(f2147,plain,
    ( ~ spl46_180
    | spl46_89
    | ~ spl46_136
    | ~ spl46_201 ),
    inference(avatar_split_clause,[],[f2135,f1309,f932,f698,f1186]) ).

fof(f1186,plain,
    ( spl46_180
  <=> c2_1(a294) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_180])]) ).

fof(f698,plain,
    ( spl46_89
  <=> c3_1(a294) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_89])]) ).

fof(f932,plain,
    ( spl46_136
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_136])]) ).

fof(f1309,plain,
    ( spl46_201
  <=> c1_1(a294) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_201])]) ).

fof(f2135,plain,
    ( c3_1(a294)
    | ~ c2_1(a294)
    | ~ spl46_136
    | ~ spl46_201 ),
    inference(resolution,[],[f933,f1311]) ).

fof(f1311,plain,
    ( c1_1(a294)
    | ~ spl46_201 ),
    inference(avatar_component_clause,[],[f1309]) ).

fof(f933,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl46_136 ),
    inference(avatar_component_clause,[],[f932]) ).

fof(f2146,plain,
    ( spl46_214
    | ~ spl46_115
    | ~ spl46_136
    | ~ spl46_194 ),
    inference(avatar_split_clause,[],[f2138,f1267,f932,f825,f1475]) ).

fof(f1475,plain,
    ( spl46_214
  <=> c3_1(a265) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_214])]) ).

fof(f825,plain,
    ( spl46_115
  <=> c2_1(a265) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_115])]) ).

fof(f1267,plain,
    ( spl46_194
  <=> c1_1(a265) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_194])]) ).

fof(f2138,plain,
    ( ~ c2_1(a265)
    | c3_1(a265)
    | ~ spl46_136
    | ~ spl46_194 ),
    inference(resolution,[],[f933,f1269]) ).

fof(f1269,plain,
    ( c1_1(a265)
    | ~ spl46_194 ),
    inference(avatar_component_clause,[],[f1267]) ).

fof(f2021,plain,
    ( ~ spl46_185
    | spl46_150
    | ~ spl46_75
    | spl46_178 ),
    inference(avatar_split_clause,[],[f2013,f1174,f628,f1010,f1216]) ).

fof(f2013,plain,
    ( c2_1(a239)
    | ~ c3_1(a239)
    | ~ spl46_75
    | spl46_178 ),
    inference(resolution,[],[f629,f1176]) ).

fof(f1937,plain,
    ( spl46_188
    | spl46_143
    | ~ spl46_47
    | ~ spl46_120 ),
    inference(avatar_split_clause,[],[f1929,f851,f501,f971,f1234]) ).

fof(f1234,plain,
    ( spl46_188
  <=> c2_1(a259) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_188])]) ).

fof(f971,plain,
    ( spl46_143
  <=> c3_1(a259) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_143])]) ).

fof(f851,plain,
    ( spl46_120
  <=> c1_1(a259) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_120])]) ).

fof(f1929,plain,
    ( c3_1(a259)
    | c2_1(a259)
    | ~ spl46_47
    | ~ spl46_120 ),
    inference(resolution,[],[f502,f853]) ).

fof(f853,plain,
    ( c1_1(a259)
    | ~ spl46_120 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f1917,plain,
    ( spl46_222
    | spl46_167
    | ~ spl46_28
    | ~ spl46_82 ),
    inference(avatar_split_clause,[],[f1908,f663,f413,f1108,f1826]) ).

fof(f1826,plain,
    ( spl46_222
  <=> c0_1(a281) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_222])]) ).

fof(f1108,plain,
    ( spl46_167
  <=> c2_1(a281) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_167])]) ).

fof(f413,plain,
    ( spl46_28
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_28])]) ).

fof(f663,plain,
    ( spl46_82
  <=> c3_1(a281) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_82])]) ).

fof(f1908,plain,
    ( c2_1(a281)
    | c0_1(a281)
    | ~ spl46_28
    | ~ spl46_82 ),
    inference(resolution,[],[f414,f665]) ).

fof(f665,plain,
    ( c3_1(a281)
    | ~ spl46_82 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f414,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl46_28 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f1900,plain,
    ( spl46_150
    | spl46_226
    | ~ spl46_21
    | spl46_178 ),
    inference(avatar_split_clause,[],[f1891,f1174,f383,f1897,f1010]) ).

fof(f383,plain,
    ( spl46_21
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_21])]) ).

fof(f1891,plain,
    ( c0_1(a239)
    | c2_1(a239)
    | ~ spl46_21
    | spl46_178 ),
    inference(resolution,[],[f384,f1176]) ).

fof(f384,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl46_21 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f1877,plain,
    ( spl46_144
    | spl46_68
    | ~ spl46_20
    | spl46_172 ),
    inference(avatar_split_clause,[],[f1875,f1139,f379,f593,f976]) ).

fof(f976,plain,
    ( spl46_144
  <=> c2_1(a322) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_144])]) ).

fof(f593,plain,
    ( spl46_68
  <=> c3_1(a322) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_68])]) ).

fof(f1139,plain,
    ( spl46_172
  <=> c1_1(a322) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_172])]) ).

fof(f1875,plain,
    ( c3_1(a322)
    | c2_1(a322)
    | ~ spl46_20
    | spl46_172 ),
    inference(resolution,[],[f1141,f380]) ).

fof(f1141,plain,
    ( ~ c1_1(a322)
    | spl46_172 ),
    inference(avatar_component_clause,[],[f1139]) ).

fof(f1874,plain,
    ( ~ spl46_214
    | ~ spl46_115
    | ~ spl46_110
    | ~ spl46_194 ),
    inference(avatar_split_clause,[],[f1750,f1267,f799,f825,f1475]) ).

fof(f799,plain,
    ( spl46_110
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_110])]) ).

fof(f1750,plain,
    ( ~ c2_1(a265)
    | ~ c3_1(a265)
    | ~ spl46_110
    | ~ spl46_194 ),
    inference(resolution,[],[f800,f1269]) ).

fof(f800,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl46_110 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f1862,plain,
    ( spl46_214
    | spl46_145
    | ~ spl46_4
    | ~ spl46_194 ),
    inference(avatar_split_clause,[],[f1849,f1267,f312,f981,f1475]) ).

fof(f981,plain,
    ( spl46_145
  <=> c0_1(a265) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_145])]) ).

fof(f312,plain,
    ( spl46_4
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_4])]) ).

fof(f1849,plain,
    ( c0_1(a265)
    | c3_1(a265)
    | ~ spl46_4
    | ~ spl46_194 ),
    inference(resolution,[],[f313,f1269]) ).

fof(f313,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl46_4 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f1830,plain,
    ( ~ spl46_82
    | ~ spl46_222
    | ~ spl46_18
    | ~ spl46_184 ),
    inference(avatar_split_clause,[],[f1824,f1210,f371,f1826,f663]) ).

fof(f1210,plain,
    ( spl46_184
  <=> c1_1(a281) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_184])]) ).

fof(f1824,plain,
    ( ~ c0_1(a281)
    | ~ c3_1(a281)
    | ~ spl46_18
    | ~ spl46_184 ),
    inference(resolution,[],[f1212,f372]) ).

fof(f1212,plain,
    ( c1_1(a281)
    | ~ spl46_184 ),
    inference(avatar_component_clause,[],[f1210]) ).

fof(f1809,plain,
    ( ~ spl46_220
    | spl46_131
    | ~ spl46_107
    | spl46_166 ),
    inference(avatar_split_clause,[],[f1736,f1102,f785,f907,f1698]) ).

fof(f1698,plain,
    ( spl46_220
  <=> c2_1(a248) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_220])]) ).

fof(f907,plain,
    ( spl46_131
  <=> c0_1(a248) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_131])]) ).

fof(f785,plain,
    ( spl46_107
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_107])]) ).

fof(f1102,plain,
    ( spl46_166
  <=> c1_1(a248) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_166])]) ).

fof(f1736,plain,
    ( c0_1(a248)
    | ~ c2_1(a248)
    | ~ spl46_107
    | spl46_166 ),
    inference(resolution,[],[f786,f1104]) ).

fof(f1104,plain,
    ( ~ c1_1(a248)
    | spl46_166 ),
    inference(avatar_component_clause,[],[f1102]) ).

fof(f786,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl46_107 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f1808,plain,
    ( spl46_126
    | ~ spl46_208
    | spl46_87
    | ~ spl46_107 ),
    inference(avatar_split_clause,[],[f1739,f785,f686,f1375,f880]) ).

fof(f1375,plain,
    ( spl46_208
  <=> c2_1(a263) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_208])]) ).

fof(f1739,plain,
    ( ~ c2_1(a263)
    | c0_1(a263)
    | spl46_87
    | ~ spl46_107 ),
    inference(resolution,[],[f786,f688]) ).

fof(f1806,plain,
    ( ~ spl46_106
    | ~ spl46_64
    | ~ spl46_110
    | ~ spl46_148 ),
    inference(avatar_split_clause,[],[f1801,f1000,f799,f573,f780]) ).

fof(f573,plain,
    ( spl46_64
  <=> c2_1(a240) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_64])]) ).

fof(f1801,plain,
    ( ~ c2_1(a240)
    | ~ c3_1(a240)
    | ~ spl46_110
    | ~ spl46_148 ),
    inference(resolution,[],[f1002,f800]) ).

fof(f1805,plain,
    ( ~ spl46_221
    | ~ spl46_106
    | ~ spl46_18
    | ~ spl46_148 ),
    inference(avatar_split_clause,[],[f1804,f1000,f371,f780,f1797]) ).

fof(f1804,plain,
    ( ~ c3_1(a240)
    | ~ c0_1(a240)
    | ~ spl46_18
    | ~ spl46_148 ),
    inference(resolution,[],[f1002,f372]) ).

fof(f1800,plain,
    ( spl46_221
    | ~ spl46_64
    | ~ spl46_103
    | ~ spl46_106 ),
    inference(avatar_split_clause,[],[f1795,f780,f765,f573,f1797]) ).

fof(f765,plain,
    ( spl46_103
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_103])]) ).

fof(f1795,plain,
    ( ~ c2_1(a240)
    | c0_1(a240)
    | ~ spl46_103
    | ~ spl46_106 ),
    inference(resolution,[],[f782,f766]) ).

fof(f766,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl46_103 ),
    inference(avatar_component_clause,[],[f765]) ).

fof(f782,plain,
    ( c3_1(a240)
    | ~ spl46_106 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f1789,plain,
    ( spl46_220
    | spl46_131
    | ~ spl46_21
    | spl46_166 ),
    inference(avatar_split_clause,[],[f1702,f1102,f383,f907,f1698]) ).

fof(f1702,plain,
    ( c0_1(a248)
    | c2_1(a248)
    | ~ spl46_21
    | spl46_166 ),
    inference(resolution,[],[f1104,f384]) ).

fof(f1786,plain,
    ( ~ spl46_215
    | ~ spl46_6
    | ~ spl46_18
    | ~ spl46_39 ),
    inference(avatar_split_clause,[],[f1521,f465,f371,f320,f1523]) ).

fof(f1523,plain,
    ( spl46_215
  <=> c3_1(a271) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_215])]) ).

fof(f465,plain,
    ( spl46_39
  <=> c1_1(a271) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_39])]) ).

fof(f1521,plain,
    ( ~ c0_1(a271)
    | ~ c3_1(a271)
    | ~ spl46_18
    | ~ spl46_39 ),
    inference(resolution,[],[f467,f372]) ).

fof(f467,plain,
    ( c1_1(a271)
    | ~ spl46_39 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f1701,plain,
    ( spl46_131
    | ~ spl46_220
    | ~ spl46_103
    | ~ spl46_140 ),
    inference(avatar_split_clause,[],[f1696,f954,f765,f1698,f907]) ).

fof(f954,plain,
    ( spl46_140
  <=> c3_1(a248) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_140])]) ).

fof(f1696,plain,
    ( ~ c2_1(a248)
    | c0_1(a248)
    | ~ spl46_103
    | ~ spl46_140 ),
    inference(resolution,[],[f956,f766]) ).

fof(f956,plain,
    ( c3_1(a248)
    | ~ spl46_140 ),
    inference(avatar_component_clause,[],[f954]) ).

fof(f1686,plain,
    ( spl46_179
    | ~ spl46_164
    | ~ spl46_97
    | ~ spl46_103 ),
    inference(avatar_split_clause,[],[f1673,f765,f735,f1090,f1179]) ).

fof(f1179,plain,
    ( spl46_179
  <=> c0_1(a241) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_179])]) ).

fof(f1090,plain,
    ( spl46_164
  <=> c2_1(a241) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_164])]) ).

fof(f735,plain,
    ( spl46_97
  <=> c3_1(a241) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_97])]) ).

fof(f1673,plain,
    ( ~ c2_1(a241)
    | c0_1(a241)
    | ~ spl46_97
    | ~ spl46_103 ),
    inference(resolution,[],[f766,f737]) ).

fof(f737,plain,
    ( c3_1(a241)
    | ~ spl46_97 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f1578,plain,
    ( spl46_208
    | spl46_126
    | ~ spl46_84
    | spl46_200 ),
    inference(avatar_split_clause,[],[f1575,f1303,f673,f880,f1375]) ).

fof(f673,plain,
    ( spl46_84
  <=> ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_84])]) ).

fof(f1575,plain,
    ( c0_1(a263)
    | c2_1(a263)
    | ~ spl46_84
    | spl46_200 ),
    inference(resolution,[],[f674,f1305]) ).

fof(f1305,plain,
    ( ~ c3_1(a263)
    | spl46_200 ),
    inference(avatar_component_clause,[],[f1303]) ).

fof(f674,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl46_84 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f1577,plain,
    ( spl46_15
    | spl46_66
    | ~ spl46_84
    | spl46_171 ),
    inference(avatar_split_clause,[],[f1576,f1134,f673,f584,f358]) ).

fof(f358,plain,
    ( spl46_15
  <=> c2_1(a258) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_15])]) ).

fof(f584,plain,
    ( spl46_66
  <=> c0_1(a258) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_66])]) ).

fof(f1134,plain,
    ( spl46_171
  <=> c3_1(a258) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_171])]) ).

fof(f1576,plain,
    ( c0_1(a258)
    | c2_1(a258)
    | ~ spl46_84
    | spl46_171 ),
    inference(resolution,[],[f674,f1136]) ).

fof(f1136,plain,
    ( ~ c3_1(a258)
    | spl46_171 ),
    inference(avatar_component_clause,[],[f1134]) ).

fof(f1553,plain,
    ( ~ spl46_10
    | ~ spl46_18
    | ~ spl46_56
    | ~ spl46_125 ),
    inference(avatar_split_clause,[],[f1545,f875,f538,f371,f337]) ).

fof(f337,plain,
    ( spl46_10
  <=> c0_1(a246) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_10])]) ).

fof(f875,plain,
    ( spl46_125
  <=> c3_1(a246) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_125])]) ).

fof(f1545,plain,
    ( ~ c0_1(a246)
    | ~ spl46_18
    | ~ spl46_56
    | ~ spl46_125 ),
    inference(resolution,[],[f1500,f877]) ).

fof(f877,plain,
    ( c3_1(a246)
    | ~ spl46_125 ),
    inference(avatar_component_clause,[],[f875]) ).

fof(f1500,plain,
    ( ! [X3] :
        ( ~ c3_1(X3)
        | ~ c0_1(X3) )
    | ~ spl46_18
    | ~ spl46_56 ),
    inference(duplicate_literal_removal,[],[f1491]) ).

fof(f1491,plain,
    ( ! [X3] :
        ( ~ c3_1(X3)
        | ~ c0_1(X3)
        | ~ c0_1(X3)
        | ~ c3_1(X3) )
    | ~ spl46_18
    | ~ spl46_56 ),
    inference(resolution,[],[f539,f372]) ).

fof(f1533,plain,
    ( ~ spl46_78
    | spl46_133
    | ~ spl46_9
    | spl46_157 ),
    inference(avatar_split_clause,[],[f1531,f1049,f333,f917,f645]) ).

fof(f645,plain,
    ( spl46_78
  <=> c0_1(a244) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_78])]) ).

fof(f917,plain,
    ( spl46_133
  <=> c2_1(a244) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_133])]) ).

fof(f1049,plain,
    ( spl46_157
  <=> c1_1(a244) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_157])]) ).

fof(f1531,plain,
    ( c2_1(a244)
    | ~ c0_1(a244)
    | ~ spl46_9
    | spl46_157 ),
    inference(resolution,[],[f1051,f334]) ).

fof(f1051,plain,
    ( ~ c1_1(a244)
    | spl46_157 ),
    inference(avatar_component_clause,[],[f1049]) ).

fof(f1527,plain,
    ( spl46_215
    | spl46_202
    | ~ spl46_39
    | ~ spl46_47 ),
    inference(avatar_split_clause,[],[f1519,f501,f465,f1314,f1523]) ).

fof(f1519,plain,
    ( c2_1(a271)
    | c3_1(a271)
    | ~ spl46_39
    | ~ spl46_47 ),
    inference(resolution,[],[f467,f502]) ).

fof(f1526,plain,
    ( ~ spl46_215
    | spl46_202
    | ~ spl46_39
    | ~ spl46_41 ),
    inference(avatar_split_clause,[],[f1520,f475,f465,f1314,f1523]) ).

fof(f475,plain,
    ( spl46_41
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_41])]) ).

fof(f1520,plain,
    ( c2_1(a271)
    | ~ c3_1(a271)
    | ~ spl46_39
    | ~ spl46_41 ),
    inference(resolution,[],[f467,f476]) ).

fof(f476,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl46_41 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f1517,plain,
    ( ~ spl46_115
    | spl46_145
    | ~ spl46_71
    | ~ spl46_194 ),
    inference(avatar_split_clause,[],[f1511,f1267,f609,f981,f825]) ).

fof(f609,plain,
    ( spl46_71
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_71])]) ).

fof(f1511,plain,
    ( c0_1(a265)
    | ~ c2_1(a265)
    | ~ spl46_71
    | ~ spl46_194 ),
    inference(resolution,[],[f610,f1269]) ).

fof(f610,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl46_71 ),
    inference(avatar_component_clause,[],[f609]) ).

fof(f1486,plain,
    ( ~ spl46_112
    | ~ spl46_206
    | ~ spl46_54
    | spl46_108 ),
    inference(avatar_split_clause,[],[f1483,f789,f530,f1345,f809]) ).

fof(f809,plain,
    ( spl46_112
  <=> c2_1(a251) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_112])]) ).

fof(f1483,plain,
    ( ~ c0_1(a251)
    | ~ c2_1(a251)
    | ~ spl46_54
    | spl46_108 ),
    inference(resolution,[],[f531,f791]) ).

fof(f791,plain,
    ( ~ c3_1(a251)
    | spl46_108 ),
    inference(avatar_component_clause,[],[f789]) ).

fof(f1478,plain,
    ( spl46_145
    | ~ spl46_214
    | ~ spl46_49
    | ~ spl46_194 ),
    inference(avatar_split_clause,[],[f1469,f1267,f509,f1475,f981]) ).

fof(f1469,plain,
    ( ~ c3_1(a265)
    | c0_1(a265)
    | ~ spl46_49
    | ~ spl46_194 ),
    inference(resolution,[],[f510,f1269]) ).

fof(f1473,plain,
    ( spl46_152
    | ~ spl46_35
    | ~ spl46_49
    | ~ spl46_189 ),
    inference(avatar_split_clause,[],[f1472,f1239,f509,f445,f1023]) ).

fof(f1023,plain,
    ( spl46_152
  <=> c0_1(a236) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_152])]) ).

fof(f445,plain,
    ( spl46_35
  <=> c3_1(a236) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_35])]) ).

fof(f1239,plain,
    ( spl46_189
  <=> c1_1(a236) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_189])]) ).

fof(f1472,plain,
    ( ~ c3_1(a236)
    | c0_1(a236)
    | ~ spl46_49
    | ~ spl46_189 ),
    inference(resolution,[],[f510,f1241]) ).

fof(f1241,plain,
    ( c1_1(a236)
    | ~ spl46_189 ),
    inference(avatar_component_clause,[],[f1239]) ).

fof(f1445,plain,
    ( spl46_212
    | ~ spl46_38
    | ~ spl46_9
    | spl46_129 ),
    inference(avatar_split_clause,[],[f1434,f894,f333,f460,f1442]) ).

fof(f1434,plain,
    ( ~ c0_1(a269)
    | c2_1(a269)
    | ~ spl46_9
    | spl46_129 ),
    inference(resolution,[],[f334,f896]) ).

fof(f1416,plain,
    ( spl46_108
    | ~ spl46_112
    | ~ spl46_43
    | spl46_186 ),
    inference(avatar_split_clause,[],[f1410,f1223,f483,f809,f789]) ).

fof(f483,plain,
    ( spl46_43
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_43])]) ).

fof(f1410,plain,
    ( ~ c2_1(a251)
    | c3_1(a251)
    | ~ spl46_43
    | spl46_186 ),
    inference(resolution,[],[f484,f1225]) ).

fof(f484,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl46_43 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f1414,plain,
    ( ~ spl46_208
    | spl46_200
    | ~ spl46_43
    | spl46_87 ),
    inference(avatar_split_clause,[],[f1411,f686,f483,f1303,f1375]) ).

fof(f1411,plain,
    ( c3_1(a263)
    | ~ c2_1(a263)
    | ~ spl46_43
    | spl46_87 ),
    inference(resolution,[],[f484,f688]) ).

fof(f1404,plain,
    ( spl46_165
    | spl46_210
    | ~ spl46_20
    | spl46_25 ),
    inference(avatar_split_clause,[],[f1399,f400,f379,f1401,f1097]) ).

fof(f1399,plain,
    ( c3_1(a235)
    | c2_1(a235)
    | ~ spl46_20
    | spl46_25 ),
    inference(resolution,[],[f402,f380]) ).

fof(f1397,plain,
    ( spl46_28
    | ~ spl46_21
    | ~ spl46_41 ),
    inference(avatar_split_clause,[],[f1396,f475,f383,f413]) ).

fof(f1396,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl46_21
    | ~ spl46_41 ),
    inference(duplicate_literal_removal,[],[f1392]) ).

fof(f1392,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl46_21
    | ~ spl46_41 ),
    inference(resolution,[],[f476,f384]) ).

fof(f1383,plain,
    ( ~ spl46_208
    | spl46_126
    | ~ spl46_14
    | spl46_200 ),
    inference(avatar_split_clause,[],[f1382,f1303,f354,f880,f1375]) ).

fof(f354,plain,
    ( spl46_14
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_14])]) ).

fof(f1382,plain,
    ( c0_1(a263)
    | ~ c2_1(a263)
    | ~ spl46_14
    | spl46_200 ),
    inference(resolution,[],[f1305,f355]) ).

fof(f355,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl46_14 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f1379,plain,
    ( spl46_208
    | spl46_126
    | ~ spl46_21
    | spl46_87 ),
    inference(avatar_split_clause,[],[f1372,f686,f383,f880,f1375]) ).

fof(f1372,plain,
    ( c0_1(a263)
    | c2_1(a263)
    | ~ spl46_21
    | spl46_87 ),
    inference(resolution,[],[f688,f384]) ).

fof(f1378,plain,
    ( spl46_208
    | spl46_200
    | ~ spl46_20
    | spl46_87 ),
    inference(avatar_split_clause,[],[f1373,f686,f379,f1303,f1375]) ).

fof(f1373,plain,
    ( c3_1(a263)
    | c2_1(a263)
    | ~ spl46_20
    | spl46_87 ),
    inference(resolution,[],[f688,f380]) ).

fof(f1366,plain,
    ( spl46_80
    | spl46_141
    | ~ spl46_28
    | ~ spl46_182 ),
    inference(avatar_split_clause,[],[f1361,f1199,f413,f959,f654]) ).

fof(f654,plain,
    ( spl46_80
  <=> c2_1(a282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_80])]) ).

fof(f959,plain,
    ( spl46_141
  <=> c0_1(a282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_141])]) ).

fof(f1199,plain,
    ( spl46_182
  <=> c3_1(a282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_182])]) ).

fof(f1361,plain,
    ( c0_1(a282)
    | c2_1(a282)
    | ~ spl46_28
    | ~ spl46_182 ),
    inference(resolution,[],[f414,f1201]) ).

fof(f1201,plain,
    ( c3_1(a282)
    | ~ spl46_182 ),
    inference(avatar_component_clause,[],[f1199]) ).

fof(f1340,plain,
    ( spl46_57
    | ~ spl46_1
    | ~ spl46_111
    | spl46_156 ),
    inference(avatar_split_clause,[],[f274,f1045,f804,f300,f542]) ).

fof(f542,plain,
    ( spl46_57
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_57])]) ).

fof(f300,plain,
    ( spl46_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_1])]) ).

fof(f804,plain,
    ( spl46_111
  <=> sP33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_111])]) ).

fof(f274,plain,
    ! [X1] :
      ( ~ c2_1(X1)
      | ~ sP33
      | c1_1(X1)
      | ~ ndr1_0
      | hskp7
      | ~ c3_1(X1) ),
    inference(general_splitting,[],[f196,f273_D]) ).

fof(f273,plain,
    ! [X0] :
      ( c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | sP33 ),
    inference(cnf_transformation,[],[f273_D]) ).

fof(f273_D,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
  <=> ~ sP33 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP33])]) ).

fof(f196,axiom,
    ! [X0,X1] :
      ( c2_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | c1_1(X1)
      | ~ c2_1(X1)
      | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).

fof(f1338,plain,
    ( spl46_99
    | spl46_136 ),
    inference(avatar_split_clause,[],[f263,f932,f744]) ).

fof(f744,plain,
    ( spl46_99
  <=> sP28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_99])]) ).

fof(f263,plain,
    ! [X0] :
      ( c3_1(X0)
      | sP28
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f263_D]) ).

fof(f263_D,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
  <=> ~ sP28 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP28])]) ).

fof(f1337,plain,
    ( ~ spl46_37
    | spl46_205 ),
    inference(avatar_split_clause,[],[f63,f1334,f455]) ).

fof(f455,plain,
    ( spl46_37
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_37])]) ).

fof(f63,axiom,
    ( c0_1(a274)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f1331,plain,
    ( spl46_76
    | spl46_107
    | ~ spl46_1 ),
    inference(avatar_split_clause,[],[f141,f300,f785,f633]) ).

fof(f633,plain,
    ( spl46_76
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_76])]) ).

fof(f141,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | c1_1(X0)
      | hskp10
      | ~ c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f1330,plain,
    ( spl46_98
    | ~ spl46_1
    | ~ spl46_53
    | spl46_43 ),
    inference(avatar_split_clause,[],[f270,f483,f526,f300,f739]) ).

fof(f739,plain,
    ( spl46_98
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_98])]) ).

fof(f526,plain,
    ( spl46_53
  <=> sP31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_53])]) ).

fof(f270,plain,
    ! [X1] :
      ( c3_1(X1)
      | ~ c2_1(X1)
      | ~ sP31
      | ~ ndr1_0
      | hskp5
      | c1_1(X1) ),
    inference(general_splitting,[],[f192,f269_D]) ).

fof(f269,plain,
    ! [X0] :
      ( c3_1(X0)
      | ~ c0_1(X0)
      | sP31
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f269_D]) ).

fof(f269_D,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
  <=> ~ sP31 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP31])]) ).

fof(f192,axiom,
    ! [X0,X1] :
      ( c1_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | ~ c0_1(X0)
      | hskp5
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).

fof(f1317,plain,
    ( ~ spl46_5
    | ~ spl46_202 ),
    inference(avatar_split_clause,[],[f102,f1314,f316]) ).

fof(f316,plain,
    ( spl46_5
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_5])]) ).

fof(f102,axiom,
    ( ~ c2_1(a271)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f1312,plain,
    ( ~ spl46_88
    | spl46_201 ),
    inference(avatar_split_clause,[],[f56,f1309,f694]) ).

fof(f694,plain,
    ( spl46_88
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_88])]) ).

fof(f56,axiom,
    ( c1_1(a294)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f1307,plain,
    ( spl46_1
    | ~ spl46_81 ),
    inference(avatar_split_clause,[],[f9,f659,f300]) ).

fof(f659,plain,
    ( spl46_81
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_81])]) ).

fof(f9,axiom,
    ( ~ hskp23
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).

fof(f1306,plain,
    ( ~ spl46_200
    | ~ spl46_42 ),
    inference(avatar_split_clause,[],[f107,f479,f1303]) ).

fof(f479,plain,
    ( spl46_42
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_42])]) ).

fof(f107,axiom,
    ( ~ hskp17
    | ~ c3_1(a263) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f1296,plain,
    ( spl46_29
    | ~ spl46_1
    | spl46_21
    | ~ spl46_154 ),
    inference(avatar_split_clause,[],[f238,f1034,f383,f300,f417]) ).

fof(f417,plain,
    ( spl46_29
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_29])]) ).

fof(f1034,plain,
    ( spl46_154
  <=> sP15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_154])]) ).

fof(f238,plain,
    ! [X1] :
      ( ~ sP15
      | c2_1(X1)
      | ~ ndr1_0
      | c1_1(X1)
      | c0_1(X1)
      | hskp3 ),
    inference(general_splitting,[],[f182,f237_D]) ).

fof(f237,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ c0_1(X0)
      | sP15
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f237_D]) ).

fof(f237_D,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
  <=> ~ sP15 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP15])]) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | c1_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f1294,plain,
    ( spl46_65
    | spl46_21
    | ~ spl46_1
    | spl46_98 ),
    inference(avatar_split_clause,[],[f139,f739,f300,f383,f577]) ).

fof(f577,plain,
    ( spl46_65
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_65])]) ).

fof(f139,axiom,
    ! [X0] :
      ( hskp5
      | ~ ndr1_0
      | c1_1(X0)
      | hskp29
      | c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

fof(f1288,plain,
    ( ~ spl46_176
    | ~ spl46_1
    | spl46_43
    | spl46_88 ),
    inference(avatar_split_clause,[],[f292,f694,f483,f300,f1163]) ).

fof(f1163,plain,
    ( spl46_176
  <=> sP42 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_176])]) ).

fof(f292,plain,
    ! [X1] :
      ( hskp25
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ sP42
      | c1_1(X1) ),
    inference(general_splitting,[],[f191,f291_D]) ).

fof(f291,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | sP42
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f291_D]) ).

fof(f291_D,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
  <=> ~ sP42 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP42])]) ).

fof(f191,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | hskp25
      | c3_1(X1)
      | ~ c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).

fof(f1276,plain,
    ( spl46_42
    | ~ spl46_1
    | spl46_103
    | spl46_31 ),
    inference(avatar_split_clause,[],[f159,f426,f765,f300,f479]) ).

fof(f426,plain,
    ( spl46_31
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_31])]) ).

fof(f159,axiom,
    ! [X0] :
      ( hskp19
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp17
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f1275,plain,
    ( spl46_195
    | ~ spl46_55 ),
    inference(avatar_split_clause,[],[f75,f534,f1272]) ).

fof(f534,plain,
    ( spl46_55
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_55])]) ).

fof(f75,axiom,
    ( ~ hskp12
    | c0_1(a252) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f1270,plain,
    ( ~ spl46_51
    | spl46_194 ),
    inference(avatar_split_clause,[],[f69,f1267,f517]) ).

fof(f517,plain,
    ( spl46_51
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_51])]) ).

fof(f69,axiom,
    ( c1_1(a265)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f1263,plain,
    ( spl46_54
    | spl46_134 ),
    inference(avatar_split_clause,[],[f211,f922,f530]) ).

fof(f922,plain,
    ( spl46_134
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_134])]) ).

fof(f211,plain,
    ! [X0] :
      ( sP2
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f211_D]) ).

fof(f211_D,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
  <=> ~ sP2 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).

fof(f1257,plain,
    ( ~ spl46_192
    | ~ spl46_76 ),
    inference(avatar_split_clause,[],[f120,f633,f1254]) ).

fof(f120,axiom,
    ( ~ hskp10
    | ~ c2_1(a249) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f1247,plain,
    ( ~ spl46_37
    | spl46_190 ),
    inference(avatar_split_clause,[],[f64,f1244,f455]) ).

fof(f64,axiom,
    ( c2_1(a274)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f1242,plain,
    ( ~ spl46_34
    | spl46_189 ),
    inference(avatar_split_clause,[],[f88,f1239,f441]) ).

fof(f441,plain,
    ( spl46_34
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_34])]) ).

fof(f88,axiom,
    ( c1_1(a236)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f1237,plain,
    ( ~ spl46_7
    | ~ spl46_188 ),
    inference(avatar_split_clause,[],[f108,f1234,f325]) ).

fof(f325,plain,
    ( spl46_7
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_7])]) ).

fof(f108,axiom,
    ( ~ c2_1(a259)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f1226,plain,
    ( ~ spl46_186
    | ~ spl46_8 ),
    inference(avatar_split_clause,[],[f118,f329,f1223]) ).

fof(f329,plain,
    ( spl46_8
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_8])]) ).

fof(f118,axiom,
    ( ~ hskp11
    | ~ c1_1(a251) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f1221,plain,
    ( ~ spl46_1
    | ~ spl46_135
    | spl46_47
    | ~ spl46_163 ),
    inference(avatar_split_clause,[],[f278,f1082,f501,f928,f300]) ).

fof(f928,plain,
    ( spl46_135
  <=> sP35 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_135])]) ).

fof(f1082,plain,
    ( spl46_163
  <=> sP34 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_163])]) ).

fof(f278,plain,
    ! [X1] :
      ( ~ sP34
      | ~ c1_1(X1)
      | c3_1(X1)
      | ~ sP35
      | ~ ndr1_0
      | c2_1(X1) ),
    inference(general_splitting,[],[f276,f277_D]) ).

fof(f277,plain,
    ! [X0] :
      ( c3_1(X0)
      | sP35
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f277_D]) ).

fof(f277_D,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
  <=> ~ sP35 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP35])]) ).

fof(f276,plain,
    ! [X0,X1] :
      ( c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | c3_1(X1)
      | ~ sP34 ),
    inference(general_splitting,[],[f203,f275_D]) ).

fof(f275,plain,
    ! [X2] :
      ( c2_1(X2)
      | ~ c3_1(X2)
      | sP34
      | c1_1(X2) ),
    inference(cnf_transformation,[],[f275_D]) ).

fof(f275_D,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | ~ c3_1(X2)
        | c1_1(X2) )
  <=> ~ sP34 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP34])]) ).

fof(f203,axiom,
    ! [X2,X0,X1] :
      ( c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | c3_1(X1)
      | ~ c3_1(X2)
      | c2_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause203) ).

fof(f1219,plain,
    ( ~ spl46_12
    | spl46_185 ),
    inference(avatar_split_clause,[],[f86,f1216,f346]) ).

fof(f346,plain,
    ( spl46_12
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_12])]) ).

fof(f86,axiom,
    ( c3_1(a239)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f1214,plain,
    ( ~ spl46_1
    | spl46_31
    | spl46_47
    | spl46_16 ),
    inference(avatar_split_clause,[],[f156,f362,f501,f426,f300]) ).

fof(f362,plain,
    ( spl46_16
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_16])]) ).

fof(f156,axiom,
    ! [X0] :
      ( hskp15
      | c2_1(X0)
      | c3_1(X0)
      | hskp19
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f1213,plain,
    ( ~ spl46_81
    | spl46_184 ),
    inference(avatar_split_clause,[],[f59,f1210,f659]) ).

fof(f59,axiom,
    ( c1_1(a281)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f1207,plain,
    ( ~ spl46_55
    | ~ spl46_183 ),
    inference(avatar_split_clause,[],[f117,f1204,f534]) ).

fof(f117,axiom,
    ( ~ c3_1(a252)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f1202,plain,
    ( ~ spl46_79
    | spl46_182 ),
    inference(avatar_split_clause,[],[f58,f1199,f650]) ).

fof(f650,plain,
    ( spl46_79
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_79])]) ).

fof(f58,axiom,
    ( c3_1(a282)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f1197,plain,
    ( spl46_34
    | ~ spl46_1
    | spl46_21
    | ~ spl46_153 ),
    inference(avatar_split_clause,[],[f240,f1029,f383,f300,f441]) ).

fof(f1029,plain,
    ( spl46_153
  <=> sP16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_153])]) ).

fof(f240,plain,
    ! [X1] :
      ( ~ sP16
      | c1_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | hskp2
      | c0_1(X1) ),
    inference(general_splitting,[],[f175,f239_D]) ).

fof(f239,plain,
    ! [X0] :
      ( ~ c1_1(X0)
      | sP16
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f239_D]) ).

fof(f239_D,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
  <=> ~ sP16 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP16])]) ).

fof(f175,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | hskp2
      | ~ c0_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f1196,plain,
    ( spl46_181
    | ~ spl46_29 ),
    inference(avatar_split_clause,[],[f87,f417,f1193]) ).

fof(f87,axiom,
    ( ~ hskp3
    | c0_1(a238) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f1189,plain,
    ( spl46_180
    | ~ spl46_88 ),
    inference(avatar_split_clause,[],[f57,f694,f1186]) ).

fof(f57,axiom,
    ( ~ hskp25
    | c2_1(a294) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f1184,plain,
    ( spl46_65
    | ~ spl46_1
    | spl46_75
    | ~ spl46_70 ),
    inference(avatar_split_clause,[],[f290,f603,f628,f300,f577]) ).

fof(f603,plain,
    ( spl46_70
  <=> sP41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_70])]) ).

fof(f290,plain,
    ! [X1] :
      ( ~ sP41
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | c1_1(X1)
      | hskp29 ),
    inference(general_splitting,[],[f189,f289_D]) ).

fof(f289,plain,
    ! [X0] :
      ( ~ c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | sP41 ),
    inference(cnf_transformation,[],[f289_D]) ).

fof(f289_D,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
  <=> ~ sP41 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP41])]) ).

fof(f189,axiom,
    ! [X0,X1] :
      ( hskp29
      | c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

fof(f1182,plain,
    ( ~ spl46_98
    | ~ spl46_179 ),
    inference(avatar_split_clause,[],[f128,f1179,f739]) ).

fof(f128,axiom,
    ( ~ c0_1(a241)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f1177,plain,
    ( ~ spl46_178
    | ~ spl46_12 ),
    inference(avatar_split_clause,[],[f129,f346,f1174]) ).

fof(f129,axiom,
    ( ~ hskp4
    | ~ c1_1(a239) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f1167,plain,
    ( spl46_8
    | ~ spl46_1
    | spl46_84
    | ~ spl46_45 ),
    inference(avatar_split_clause,[],[f248,f492,f673,f300,f329]) ).

fof(f492,plain,
    ( spl46_45
  <=> sP20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_45])]) ).

fof(f248,plain,
    ! [X1] :
      ( ~ sP20
      | c0_1(X1)
      | ~ ndr1_0
      | c2_1(X1)
      | hskp11
      | c3_1(X1) ),
    inference(general_splitting,[],[f173,f247_D]) ).

fof(f247,plain,
    ! [X0] :
      ( c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | sP20 ),
    inference(cnf_transformation,[],[f247_D]) ).

fof(f247_D,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
  <=> ~ sP20 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP20])]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | ~ c3_1(X0)
      | c3_1(X1)
      | c2_1(X0)
      | hskp11
      | c0_1(X0)
      | ~ ndr1_0
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f1166,plain,
    ( spl46_176
    | spl46_56 ),
    inference(avatar_split_clause,[],[f291,f538,f1163]) ).

fof(f1142,plain,
    ( ~ spl46_67
    | ~ spl46_172 ),
    inference(avatar_split_clause,[],[f91,f1139,f589]) ).

fof(f589,plain,
    ( spl46_67
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_67])]) ).

fof(f91,axiom,
    ( ~ c1_1(a322)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f1137,plain,
    ( ~ spl46_16
    | ~ spl46_171 ),
    inference(avatar_split_clause,[],[f112,f1134,f362]) ).

fof(f112,axiom,
    ( ~ c3_1(a258)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f1122,plain,
    ( spl46_1
    | ~ spl46_79 ),
    inference(avatar_split_clause,[],[f8,f650,f300]) ).

fof(f8,axiom,
    ( ~ hskp24
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f1121,plain,
    ( spl46_48
    | spl46_18 ),
    inference(avatar_split_clause,[],[f257,f371,f505]) ).

fof(f505,plain,
    ( spl46_48
  <=> sP25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_48])]) ).

fof(f257,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | sP25
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f257_D]) ).

fof(f257_D,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
  <=> ~ sP25 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP25])]) ).

fof(f1120,plain,
    ( spl46_104
    | spl46_43 ),
    inference(avatar_split_clause,[],[f245,f483,f769]) ).

fof(f769,plain,
    ( spl46_104
  <=> sP19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_104])]) ).

fof(f245,plain,
    ! [X0] :
      ( c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0)
      | sP19 ),
    inference(cnf_transformation,[],[f245_D]) ).

fof(f245_D,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
  <=> ~ sP19 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP19])]) ).

fof(f1118,plain,
    ( ~ spl46_76
    | spl46_168 ),
    inference(avatar_split_clause,[],[f77,f1115,f633]) ).

fof(f77,axiom,
    ( c0_1(a249)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f1111,plain,
    ( ~ spl46_167
    | ~ spl46_81 ),
    inference(avatar_split_clause,[],[f99,f659,f1108]) ).

fof(f99,axiom,
    ( ~ hskp23
    | ~ c2_1(a281) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f1105,plain,
    ( ~ spl46_166
    | ~ spl46_44 ),
    inference(avatar_split_clause,[],[f122,f486,f1102]) ).

fof(f486,plain,
    ( spl46_44
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_44])]) ).

fof(f122,axiom,
    ( ~ hskp9
    | ~ c1_1(a248) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f1100,plain,
    ( ~ spl46_165
    | ~ spl46_26 ),
    inference(avatar_split_clause,[],[f136,f404,f1097]) ).

fof(f404,plain,
    ( spl46_26
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_26])]) ).

fof(f136,axiom,
    ( ~ hskp1
    | ~ c2_1(a235) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f1094,plain,
    ( ~ spl46_1
    | spl46_67
    | spl46_79
    | spl46_110 ),
    inference(avatar_split_clause,[],[f168,f799,f650,f589,f300]) ).

fof(f168,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | hskp24
      | hskp27
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f1093,plain,
    ( ~ spl46_98
    | spl46_164 ),
    inference(avatar_split_clause,[],[f84,f1090,f739]) ).

fof(f84,axiom,
    ( c2_1(a241)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f1088,plain,
    ( spl46_81
    | spl46_61
    | spl46_79 ),
    inference(avatar_split_clause,[],[f41,f650,f558,f659]) ).

fof(f558,plain,
    ( spl46_61
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_61])]) ).

fof(f41,axiom,
    ( hskp24
    | hskp13
    | hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f1086,plain,
    ( spl46_8
    | ~ spl46_1
    | spl46_49
    | ~ spl46_122 ),
    inference(avatar_split_clause,[],[f266,f861,f509,f300,f329]) ).

fof(f861,plain,
    ( spl46_122
  <=> sP29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_122])]) ).

fof(f266,plain,
    ! [X1] :
      ( ~ sP29
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | hskp11 ),
    inference(general_splitting,[],[f197,f265_D]) ).

fof(f265,plain,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | sP29 ),
    inference(cnf_transformation,[],[f265_D]) ).

fof(f265_D,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
  <=> ~ sP29 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP29])]) ).

fof(f197,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | hskp11
      | ~ c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).

fof(f1085,plain,
    ( spl46_163
    | spl46_75 ),
    inference(avatar_split_clause,[],[f275,f628,f1082]) ).

fof(f1080,plain,
    ( spl46_162
    | ~ spl46_31 ),
    inference(avatar_split_clause,[],[f68,f426,f1077]) ).

fof(f68,axiom,
    ( ~ hskp19
    | c3_1(a269) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f1068,plain,
    ( ~ spl46_1
    | spl46_14
    | spl46_31
    | spl46_7 ),
    inference(avatar_split_clause,[],[f150,f325,f426,f354,f300]) ).

fof(f150,axiom,
    ! [X0] :
      ( hskp16
      | hskp19
      | ~ c2_1(X0)
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f1052,plain,
    ( ~ spl46_157
    | ~ spl46_57 ),
    inference(avatar_split_clause,[],[f124,f542,f1049]) ).

fof(f124,axiom,
    ( ~ hskp7
    | ~ c1_1(a244) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f1037,plain,
    ( spl46_154
    | spl46_18 ),
    inference(avatar_split_clause,[],[f237,f371,f1034]) ).

fof(f1032,plain,
    ( spl46_153
    | spl46_96 ),
    inference(avatar_split_clause,[],[f239,f731,f1029]) ).

fof(f1026,plain,
    ( ~ spl46_152
    | ~ spl46_34 ),
    inference(avatar_split_clause,[],[f133,f441,f1023]) ).

fof(f133,axiom,
    ( ~ hskp2
    | ~ c0_1(a236) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f1021,plain,
    ( spl46_57
    | ~ spl46_1
    | ~ spl46_95
    | spl46_137 ),
    inference(avatar_split_clause,[],[f250,f938,f727,f300,f542]) ).

fof(f727,plain,
    ( spl46_95
  <=> sP21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_95])]) ).

fof(f250,plain,
    ! [X1] :
      ( c1_1(X1)
      | ~ sP21
      | ~ ndr1_0
      | c0_1(X1)
      | c3_1(X1)
      | hskp7 ),
    inference(general_splitting,[],[f176,f249_D]) ).

fof(f249,plain,
    ! [X0] :
      ( ~ c1_1(X0)
      | c2_1(X0)
      | sP21
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f249_D]) ).

fof(f249_D,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
  <=> ~ sP21 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP21])]) ).

fof(f176,axiom,
    ! [X0,X1] :
      ( hskp7
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c1_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f1013,plain,
    ( ~ spl46_150
    | ~ spl46_12 ),
    inference(avatar_split_clause,[],[f130,f346,f1010]) ).

fof(f130,axiom,
    ( ~ hskp4
    | ~ c2_1(a239) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f1003,plain,
    ( spl46_148
    | ~ spl46_65 ),
    inference(avatar_split_clause,[],[f49,f577,f1000]) ).

fof(f49,axiom,
    ( ~ hskp29
    | c1_1(a240) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f998,plain,
    ( ~ spl46_146
    | spl46_7
    | spl46_28
    | ~ spl46_1 ),
    inference(avatar_split_clause,[],[f294,f300,f413,f325,f986]) ).

fof(f986,plain,
    ( spl46_146
  <=> sP43 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_146])]) ).

fof(f294,plain,
    ! [X1] :
      ( ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X1)
      | hskp16
      | c2_1(X1)
      | ~ sP43 ),
    inference(general_splitting,[],[f186,f293_D]) ).

fof(f293,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c1_1(X0)
      | sP43
      | c3_1(X0) ),
    inference(cnf_transformation,[],[f293_D]) ).

fof(f293_D,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
  <=> ~ sP43 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP43])]) ).

fof(f186,axiom,
    ! [X0,X1] :
      ( hskp16
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c3_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f997,plain,
    ( ~ spl46_1
    | spl46_20
    | spl46_37
    | ~ spl46_121 ),
    inference(avatar_split_clause,[],[f254,f856,f455,f379,f300]) ).

fof(f856,plain,
    ( spl46_121
  <=> sP23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_121])]) ).

fof(f254,plain,
    ! [X1] :
      ( ~ sP23
      | hskp21
      | c3_1(X1)
      | ~ ndr1_0
      | c2_1(X1)
      | c1_1(X1) ),
    inference(general_splitting,[],[f178,f253_D]) ).

fof(f253,plain,
    ! [X0] :
      ( c0_1(X0)
      | sP23
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f253_D]) ).

fof(f253_D,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
  <=> ~ sP23 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP23])]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c1_1(X1)
      | c0_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f996,plain,
    ( ~ spl46_90
    | ~ spl46_139
    | spl46_28
    | ~ spl46_1 ),
    inference(avatar_split_clause,[],[f230,f300,f413,f947,f703]) ).

fof(f703,plain,
    ( spl46_90
  <=> sP10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_90])]) ).

fof(f947,plain,
    ( spl46_139
  <=> sP11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_139])]) ).

fof(f230,plain,
    ! [X1] :
      ( ~ ndr1_0
      | c0_1(X1)
      | ~ sP11
      | c2_1(X1)
      | ~ sP10
      | ~ c3_1(X1) ),
    inference(general_splitting,[],[f228,f229_D]) ).

fof(f229,plain,
    ! [X0] :
      ( sP11
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    inference(cnf_transformation,[],[f229_D]) ).

fof(f229_D,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
  <=> ~ sP11 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP11])]) ).

fof(f228,plain,
    ! [X0,X1] :
      ( c2_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | c0_1(X1)
      | c2_1(X0)
      | ~ sP10 ),
    inference(general_splitting,[],[f200,f227_D]) ).

fof(f227,plain,
    ! [X2] :
      ( c2_1(X2)
      | c3_1(X2)
      | c0_1(X2)
      | sP10 ),
    inference(cnf_transformation,[],[f227_D]) ).

fof(f227_D,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
  <=> ~ sP10 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP10])]) ).

fof(f200,axiom,
    ! [X2,X0,X1] :
      ( c2_1(X1)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | c2_1(X2)
      | ~ c3_1(X0)
      | c3_1(X2)
      | c0_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).

fof(f989,plain,
    ( spl46_146
    | spl46_136 ),
    inference(avatar_split_clause,[],[f293,f932,f986]) ).

fof(f984,plain,
    ( ~ spl46_51
    | ~ spl46_145 ),
    inference(avatar_split_clause,[],[f104,f981,f517]) ).

fof(f104,axiom,
    ( ~ c0_1(a265)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f979,plain,
    ( ~ spl46_67
    | ~ spl46_144 ),
    inference(avatar_split_clause,[],[f92,f976,f589]) ).

fof(f92,axiom,
    ( ~ c2_1(a322)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f974,plain,
    ( ~ spl46_143
    | ~ spl46_7 ),
    inference(avatar_split_clause,[],[f109,f325,f971]) ).

fof(f109,axiom,
    ( ~ hskp16
    | ~ c3_1(a259) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f963,plain,
    ( spl46_138
    | spl46_41 ),
    inference(avatar_split_clause,[],[f217,f475,f942]) ).

fof(f942,plain,
    ( spl46_138
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_138])]) ).

fof(f217,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0)
      | sP5 ),
    inference(cnf_transformation,[],[f217_D]) ).

fof(f217_D,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
  <=> ~ sP5 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).

fof(f962,plain,
    ( ~ spl46_79
    | ~ spl46_141 ),
    inference(avatar_split_clause,[],[f97,f959,f650]) ).

fof(f97,axiom,
    ( ~ c0_1(a282)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f957,plain,
    ( spl46_140
    | ~ spl46_44 ),
    inference(avatar_split_clause,[],[f79,f486,f954]) ).

fof(f79,axiom,
    ( ~ hskp9
    | c3_1(a248) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f950,plain,
    ( spl46_123
    | spl46_139 ),
    inference(avatar_split_clause,[],[f229,f947,f866]) ).

fof(f945,plain,
    ( ~ spl46_138
    | ~ spl46_1
    | ~ spl46_105
    | spl46_4 ),
    inference(avatar_split_clause,[],[f218,f312,f775,f300,f942]) ).

fof(f775,plain,
    ( spl46_105
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_105])]) ).

fof(f218,plain,
    ! [X1] :
      ( ~ c1_1(X1)
      | ~ sP4
      | ~ ndr1_0
      | ~ sP5
      | c0_1(X1)
      | c3_1(X1) ),
    inference(general_splitting,[],[f216,f217_D]) ).

fof(f216,plain,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | c0_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ sP4 ),
    inference(general_splitting,[],[f199,f215_D]) ).

fof(f215,plain,
    ! [X2] :
      ( c2_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | sP4 ),
    inference(cnf_transformation,[],[f215_D]) ).

fof(f215_D,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) )
  <=> ~ sP4 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).

fof(f199,axiom,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | ~ c3_1(X0)
      | c0_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause199) ).

fof(f934,plain,
    ( spl46_135
    | spl46_136 ),
    inference(avatar_split_clause,[],[f277,f932,f928]) ).

fof(f926,plain,
    ( spl46_8
    | spl46_98
    | spl46_44 ),
    inference(avatar_split_clause,[],[f42,f486,f739,f329]) ).

fof(f42,axiom,
    ( hskp9
    | hskp5
    | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f925,plain,
    ( ~ spl46_134
    | spl46_5
    | ~ spl46_1
    | spl46_71 ),
    inference(avatar_split_clause,[],[f212,f609,f300,f316,f922]) ).

fof(f212,plain,
    ! [X1] :
      ( ~ c1_1(X1)
      | ~ ndr1_0
      | hskp20
      | ~ sP2
      | ~ c2_1(X1)
      | c0_1(X1) ),
    inference(general_splitting,[],[f194,f211_D]) ).

fof(f194,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | hskp20
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).

fof(f920,plain,
    ( ~ spl46_133
    | ~ spl46_57 ),
    inference(avatar_split_clause,[],[f125,f542,f917]) ).

fof(f125,axiom,
    ( ~ hskp7
    | ~ c2_1(a244) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f910,plain,
    ( ~ spl46_131
    | ~ spl46_44 ),
    inference(avatar_split_clause,[],[f121,f486,f907]) ).

fof(f121,axiom,
    ( ~ hskp9
    | ~ c0_1(a248) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f904,plain,
    ( spl46_51
    | spl46_31
    | spl46_8 ),
    inference(avatar_split_clause,[],[f39,f329,f426,f517]) ).

fof(f39,axiom,
    ( hskp11
    | hskp19
    | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f903,plain,
    ( spl46_50
    | spl46_21 ),
    inference(avatar_split_clause,[],[f255,f383,f512]) ).

fof(f512,plain,
    ( spl46_50
  <=> sP24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_50])]) ).

fof(f255,plain,
    ! [X2] :
      ( c0_1(X2)
      | c2_1(X2)
      | sP24
      | c1_1(X2) ),
    inference(cnf_transformation,[],[f255_D]) ).

fof(f255_D,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) )
  <=> ~ sP24 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP24])]) ).

fof(f897,plain,
    ( ~ spl46_31
    | ~ spl46_129 ),
    inference(avatar_split_clause,[],[f103,f894,f426]) ).

fof(f103,axiom,
    ( ~ c1_1(a269)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f883,plain,
    ( ~ spl46_126
    | ~ spl46_42 ),
    inference(avatar_split_clause,[],[f105,f479,f880]) ).

fof(f105,axiom,
    ( ~ hskp17
    | ~ c0_1(a263) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f878,plain,
    ( ~ spl46_11
    | spl46_125 ),
    inference(avatar_split_clause,[],[f45,f875,f341]) ).

fof(f341,plain,
    ( spl46_11
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_11])]) ).

fof(f45,axiom,
    ( c3_1(a246)
    | ~ hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f864,plain,
    ( spl46_122
    | spl46_110 ),
    inference(avatar_split_clause,[],[f265,f799,f861]) ).

fof(f859,plain,
    ( spl46_121
    | spl46_49 ),
    inference(avatar_split_clause,[],[f253,f509,f856]) ).

fof(f854,plain,
    ( spl46_120
    | ~ spl46_7 ),
    inference(avatar_split_clause,[],[f71,f325,f851]) ).

fof(f71,axiom,
    ( ~ hskp16
    | c1_1(a259) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f844,plain,
    ( spl46_79
    | spl46_81
    | spl46_103
    | ~ spl46_1 ),
    inference(avatar_split_clause,[],[f160,f300,f765,f659,f650]) ).

fof(f160,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | hskp23
      | ~ c2_1(X0)
      | hskp24
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f828,plain,
    ( spl46_115
    | ~ spl46_51 ),
    inference(avatar_split_clause,[],[f70,f517,f825]) ).

fof(f70,axiom,
    ( ~ hskp18
    | c2_1(a265) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f812,plain,
    ( ~ spl46_8
    | spl46_112 ),
    inference(avatar_split_clause,[],[f76,f809,f329]) ).

fof(f76,axiom,
    ( c2_1(a251)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f807,plain,
    ( spl46_111
    | spl46_96 ),
    inference(avatar_split_clause,[],[f273,f731,f804]) ).

fof(f793,plain,
    ( ~ spl46_1
    | ~ spl46_102
    | spl46_9
    | ~ spl46_101 ),
    inference(avatar_split_clause,[],[f236,f755,f333,f760,f300]) ).

fof(f760,plain,
    ( spl46_102
  <=> sP14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_102])]) ).

fof(f755,plain,
    ( spl46_101
  <=> sP13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_101])]) ).

fof(f236,plain,
    ! [X1] :
      ( ~ sP13
      | ~ c0_1(X1)
      | c1_1(X1)
      | ~ sP14
      | c2_1(X1)
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f234,f235_D]) ).

fof(f235,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | c1_1(X0)
      | sP14
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f235_D]) ).

fof(f235_D,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
  <=> ~ sP14 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP14])]) ).

fof(f234,plain,
    ! [X0,X1] :
      ( ~ c0_1(X1)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c0_1(X0)
      | c1_1(X0)
      | ~ sP13 ),
    inference(general_splitting,[],[f201,f233_D]) ).

fof(f233,plain,
    ! [X2] :
      ( c3_1(X2)
      | c2_1(X2)
      | sP13
      | c1_1(X2) ),
    inference(cnf_transformation,[],[f233_D]) ).

fof(f233_D,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) )
  <=> ~ sP13 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP13])]) ).

fof(f201,axiom,
    ! [X2,X0,X1] :
      ( ~ c0_1(X1)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c2_1(X2)
      | ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause201) ).

fof(f792,plain,
    ( ~ spl46_8
    | ~ spl46_108 ),
    inference(avatar_split_clause,[],[f119,f789,f329]) ).

fof(f119,axiom,
    ( ~ c3_1(a251)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f787,plain,
    ( ~ spl46_1
    | spl46_11
    | spl46_107 ),
    inference(avatar_split_clause,[],[f140,f785,f341,f300]) ).

fof(f140,axiom,
    ! [X0] :
      ( c1_1(X0)
      | hskp31
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f783,plain,
    ( spl46_106
    | ~ spl46_65 ),
    inference(avatar_split_clause,[],[f51,f577,f780]) ).

fof(f51,axiom,
    ( ~ hskp29
    | c3_1(a240) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f778,plain,
    ( spl46_105
    | spl46_21 ),
    inference(avatar_split_clause,[],[f215,f383,f775]) ).

fof(f773,plain,
    ( spl46_86
    | spl46_28 ),
    inference(avatar_split_clause,[],[f251,f413,f681]) ).

fof(f681,plain,
    ( spl46_86
  <=> sP22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_86])]) ).

fof(f251,plain,
    ! [X0] :
      ( c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | sP22 ),
    inference(cnf_transformation,[],[f251_D]) ).

fof(f251_D,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
  <=> ~ sP22 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP22])]) ).

fof(f772,plain,
    ( ~ spl46_1
    | spl46_20
    | spl46_5
    | ~ spl46_104 ),
    inference(avatar_split_clause,[],[f246,f769,f316,f379,f300]) ).

fof(f246,plain,
    ! [X1] :
      ( ~ sP19
      | hskp20
      | c2_1(X1)
      | ~ ndr1_0
      | c3_1(X1)
      | c1_1(X1) ),
    inference(general_splitting,[],[f174,f245_D]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c2_1(X0)
      | hskp20
      | c1_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f767,plain,
    ( spl46_79
    | spl46_8
    | ~ spl46_1
    | spl46_103 ),
    inference(avatar_split_clause,[],[f161,f765,f300,f329,f650]) ).

fof(f161,axiom,
    ! [X0] :
      ( c0_1(X0)
      | ~ ndr1_0
      | hskp11
      | ~ c2_1(X0)
      | hskp24
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f763,plain,
    ( spl46_102
    | spl46_56 ),
    inference(avatar_split_clause,[],[f235,f538,f760]) ).

fof(f758,plain,
    ( spl46_101
    | spl46_20 ),
    inference(avatar_split_clause,[],[f233,f379,f755]) ).

fof(f748,plain,
    ( spl46_76
    | ~ spl46_46
    | ~ spl46_1
    | spl46_75 ),
    inference(avatar_split_clause,[],[f232,f628,f300,f497,f633]) ).

fof(f497,plain,
    ( spl46_46
  <=> sP12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_46])]) ).

fof(f232,plain,
    ! [X1] :
      ( c1_1(X1)
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ sP12
      | hskp10 ),
    inference(general_splitting,[],[f180,f231_D]) ).

fof(f231,plain,
    ! [X0] :
      ( c2_1(X0)
      | ~ c1_1(X0)
      | sP12
      | c3_1(X0) ),
    inference(cnf_transformation,[],[f231_D]) ).

fof(f231_D,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
  <=> ~ sP12 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP12])]) ).

fof(f180,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | hskp10
      | ~ ndr1_0
      | ~ c1_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f747,plain,
    ( spl46_8
    | ~ spl46_1
    | spl46_75
    | ~ spl46_99 ),
    inference(avatar_split_clause,[],[f264,f744,f628,f300,f329]) ).

fof(f264,plain,
    ! [X1] :
      ( ~ sP28
      | c1_1(X1)
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | hskp11 ),
    inference(general_splitting,[],[f190,f263_D]) ).

fof(f190,axiom,
    ! [X0,X1] :
      ( hskp11
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | c2_1(X1)
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).

fof(f742,plain,
    ( spl46_97
    | ~ spl46_98 ),
    inference(avatar_split_clause,[],[f85,f739,f735]) ).

fof(f85,axiom,
    ( ~ hskp5
    | c3_1(a241) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f733,plain,
    ( spl46_95
    | spl46_96 ),
    inference(avatar_split_clause,[],[f249,f731,f727]) ).

fof(f711,plain,
    ( ~ spl46_76
    | spl46_91 ),
    inference(avatar_split_clause,[],[f78,f708,f633]) ).

fof(f78,axiom,
    ( c3_1(a249)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f706,plain,
    ( spl46_90
    | spl46_84 ),
    inference(avatar_split_clause,[],[f227,f673,f703]) ).

fof(f701,plain,
    ( ~ spl46_88
    | ~ spl46_89 ),
    inference(avatar_split_clause,[],[f96,f698,f694]) ).

fof(f96,axiom,
    ( ~ c3_1(a294)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f689,plain,
    ( ~ spl46_87
    | ~ spl46_42 ),
    inference(avatar_split_clause,[],[f106,f479,f686]) ).

fof(f106,axiom,
    ( ~ hskp17
    | ~ c1_1(a263) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f684,plain,
    ( ~ spl46_86
    | spl46_21
    | spl46_26
    | ~ spl46_1 ),
    inference(avatar_split_clause,[],[f252,f300,f404,f383,f681]) ).

fof(f252,plain,
    ! [X1] :
      ( ~ ndr1_0
      | hskp1
      | c0_1(X1)
      | ~ sP22
      | c2_1(X1)
      | c1_1(X1) ),
    inference(general_splitting,[],[f171,f251_D]) ).

fof(f171,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | hskp1
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f666,plain,
    ( ~ spl46_81
    | spl46_82 ),
    inference(avatar_split_clause,[],[f60,f663,f659]) ).

fof(f60,axiom,
    ( c3_1(a281)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f657,plain,
    ( ~ spl46_79
    | ~ spl46_80 ),
    inference(avatar_split_clause,[],[f98,f654,f650]) ).

fof(f98,axiom,
    ( ~ c2_1(a282)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f648,plain,
    ( ~ spl46_57
    | spl46_78 ),
    inference(avatar_split_clause,[],[f82,f645,f542]) ).

fof(f82,axiom,
    ( c0_1(a244)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f643,plain,
    ( ~ spl46_1
    | spl46_65
    | spl46_28
    | spl46_42 ),
    inference(avatar_split_clause,[],[f147,f479,f413,f577,f300]) ).

fof(f147,axiom,
    ! [X0] :
      ( hskp17
      | ~ c3_1(X0)
      | hskp29
      | c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

fof(f630,plain,
    ( spl46_52
    | spl46_75 ),
    inference(avatar_split_clause,[],[f225,f628,f521]) ).

fof(f521,plain,
    ( spl46_52
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_52])]) ).

fof(f225,plain,
    ! [X0] :
      ( c2_1(X0)
      | sP9
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(cnf_transformation,[],[f225_D]) ).

fof(f225_D,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
  <=> ~ sP9 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP9])]) ).

fof(f626,plain,
    ( ~ spl46_61
    | spl46_1 ),
    inference(avatar_split_clause,[],[f19,f300,f558]) ).

fof(f19,axiom,
    ( ndr1_0
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).

fof(f607,plain,
    ( spl46_12
    | ~ spl46_1
    | spl46_11
    | spl46_47 ),
    inference(avatar_split_clause,[],[f155,f501,f341,f300,f346]) ).

fof(f155,axiom,
    ! [X0] :
      ( ~ c1_1(X0)
      | hskp31
      | ~ ndr1_0
      | c3_1(X0)
      | hskp4
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f606,plain,
    ( spl46_70
    | spl46_41 ),
    inference(avatar_split_clause,[],[f289,f475,f603]) ).

fof(f601,plain,
    ( ~ spl46_69
    | ~ spl46_55 ),
    inference(avatar_split_clause,[],[f116,f534,f598]) ).

fof(f116,axiom,
    ( ~ hskp12
    | ~ c1_1(a252) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f596,plain,
    ( ~ spl46_67
    | ~ spl46_68 ),
    inference(avatar_split_clause,[],[f93,f593,f589]) ).

fof(f93,axiom,
    ( ~ c3_1(a322)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f587,plain,
    ( ~ spl46_16
    | ~ spl46_66 ),
    inference(avatar_split_clause,[],[f110,f584,f362]) ).

fof(f110,axiom,
    ( ~ c0_1(a258)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f580,plain,
    ( spl46_64
    | ~ spl46_65 ),
    inference(avatar_split_clause,[],[f50,f577,f573]) ).

fof(f50,axiom,
    ( ~ hskp29
    | c2_1(a240) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f540,plain,
    ( spl46_29
    | spl46_55
    | ~ spl46_1
    | spl46_56 ),
    inference(avatar_split_clause,[],[f163,f538,f300,f534,f417]) ).

fof(f163,axiom,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | c1_1(X0)
      | hskp12
      | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f532,plain,
    ( spl46_53
    | spl46_54 ),
    inference(avatar_split_clause,[],[f269,f530,f526]) ).

fof(f524,plain,
    ( spl46_51
    | ~ spl46_52
    | ~ spl46_1
    | spl46_9 ),
    inference(avatar_split_clause,[],[f226,f333,f300,f521,f517]) ).

fof(f226,plain,
    ! [X1] :
      ( c1_1(X1)
      | ~ c0_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ sP9
      | hskp18 ),
    inference(general_splitting,[],[f179,f225_D]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( hskp18
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c2_1(X1)
      | c1_1(X0)
      | ~ c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f515,plain,
    ( ~ spl46_1
    | ~ spl46_48
    | spl46_49
    | ~ spl46_50 ),
    inference(avatar_split_clause,[],[f258,f512,f509,f505,f300]) ).

fof(f258,plain,
    ! [X1] :
      ( ~ sP24
      | ~ c3_1(X1)
      | ~ sP25
      | ~ ndr1_0
      | c0_1(X1)
      | ~ c1_1(X1) ),
    inference(general_splitting,[],[f256,f257_D]) ).

fof(f256,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ sP24 ),
    inference(general_splitting,[],[f204,f255_D]) ).

fof(f204,axiom,
    ! [X2,X0,X1] :
      ( c1_1(X2)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause204) ).

fof(f503,plain,
    ( spl46_46
    | spl46_47 ),
    inference(avatar_split_clause,[],[f231,f501,f497]) ).

fof(f495,plain,
    ( spl46_45
    | spl46_28 ),
    inference(avatar_split_clause,[],[f247,f413,f492]) ).

fof(f490,plain,
    ( spl46_18
    | ~ spl46_1
    | spl46_12 ),
    inference(avatar_split_clause,[],[f167,f346,f300,f371]) ).

fof(f167,axiom,
    ! [X0] :
      ( hskp4
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f489,plain,
    ( ~ spl46_1
    | spl46_42
    | spl46_43
    | spl46_44 ),
    inference(avatar_split_clause,[],[f152,f486,f483,f479,f300]) ).

fof(f152,axiom,
    ! [X0] :
      ( hskp9
      | c1_1(X0)
      | hskp17
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f473,plain,
    ( ~ spl46_29
    | ~ spl46_40 ),
    inference(avatar_split_clause,[],[f132,f470,f417]) ).

fof(f132,axiom,
    ( ~ c3_1(a238)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f468,plain,
    ( ~ spl46_5
    | spl46_39 ),
    inference(avatar_split_clause,[],[f66,f465,f316]) ).

fof(f66,axiom,
    ( c1_1(a271)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f463,plain,
    ( ~ spl46_31
    | spl46_38 ),
    inference(avatar_split_clause,[],[f67,f460,f426]) ).

fof(f67,axiom,
    ( c0_1(a269)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f458,plain,
    ( ~ spl46_36
    | ~ spl46_37 ),
    inference(avatar_split_clause,[],[f101,f455,f451]) ).

fof(f101,axiom,
    ( ~ hskp21
    | ~ c3_1(a274) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f448,plain,
    ( ~ spl46_34
    | spl46_35 ),
    inference(avatar_split_clause,[],[f89,f445,f441]) ).

fof(f89,axiom,
    ( c3_1(a236)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f424,plain,
    ( ~ spl46_29
    | ~ spl46_30 ),
    inference(avatar_split_clause,[],[f131,f421,f417]) ).

fof(f131,axiom,
    ( ~ c2_1(a238)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f407,plain,
    ( ~ spl46_25
    | ~ spl46_26 ),
    inference(avatar_split_clause,[],[f135,f404,f400]) ).

fof(f135,axiom,
    ( ~ hskp1
    | ~ c1_1(a235) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f365,plain,
    ( ~ spl46_15
    | ~ spl46_16 ),
    inference(avatar_split_clause,[],[f111,f362,f358]) ).

fof(f111,axiom,
    ( ~ hskp15
    | ~ c2_1(a258) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f344,plain,
    ( spl46_10
    | ~ spl46_11 ),
    inference(avatar_split_clause,[],[f43,f341,f337]) ).

fof(f43,axiom,
    ( ~ hskp31
    | c0_1(a246) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f323,plain,
    ( ~ spl46_5
    | spl46_6 ),
    inference(avatar_split_clause,[],[f65,f320,f316]) ).

fof(f65,axiom,
    ( c0_1(a271)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN502-1 : TPTP v8.1.0. Released v2.1.0.
% 0.00/0.13  % 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 : n019.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 22:04:20 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.49  % (10290)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50  % (10306)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)
% 0.20/0.50  % (10294)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)
% 0.20/0.50  % (10302)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)
% 0.20/0.50  % (10298)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50  % (10286)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)
% 0.20/0.51  % (10292)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51  Detected maximum model sizes of [32]
% 0.20/0.51  TRYING [1]
% 0.20/0.51  TRYING [2]
% 0.20/0.52  % (10296)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)
% 0.20/0.52  TRYING [3]
% 0.20/0.52  % (10282)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52  % (10283)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)
% 0.20/0.52  % (10285)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)
% 0.20/0.52  % (10288)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (10288)Instruction limit reached!
% 0.20/0.52  % (10288)------------------------------
% 0.20/0.52  % (10288)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (10288)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (10288)Termination reason: Unknown
% 0.20/0.52  % (10288)Termination phase: shuffling
% 0.20/0.52  
% 0.20/0.52  % (10288)Memory used [KB]: 1151
% 0.20/0.52  % (10288)Time elapsed: 0.002 s
% 0.20/0.52  % (10288)Instructions burned: 2 (million)
% 0.20/0.52  % (10288)------------------------------
% 0.20/0.52  % (10288)------------------------------
% 0.20/0.53  % (10284)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (10280)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)
% 0.20/0.53  TRYING [4]
% 0.20/0.53  % (10281)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)
% 0.20/0.53  % (10289)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)
% 0.20/0.53  % (10291)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)
% 0.20/0.53  % (10293)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53  % (10303)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)
% 0.20/0.54  % (10304)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54  % (10309)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)
% 0.20/0.54  % (10287)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54  % (10297)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54  % (10300)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)
% 0.20/0.54  % (10299)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)
% 0.20/0.54  % (10301)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  % (10295)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  TRYING [5]
% 0.20/0.55  % (10305)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.55  % (10308)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.55  % (10307)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)
% 0.20/0.56  % (10286)Instruction limit reached!
% 0.20/0.56  % (10286)------------------------------
% 0.20/0.56  % (10286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.56  % (10290)First to succeed.
% 1.61/0.56  % (10286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.56  % (10286)Termination reason: Unknown
% 1.61/0.56  % (10286)Termination phase: Finite model building SAT solving
% 1.61/0.56  
% 1.61/0.56  % (10286)Memory used [KB]: 6268
% 1.61/0.56  % (10286)Time elapsed: 0.108 s
% 1.61/0.56  % (10286)Instructions burned: 51 (million)
% 1.61/0.56  % (10286)------------------------------
% 1.61/0.56  % (10286)------------------------------
% 1.61/0.56  Detected maximum model sizes of [32]
% 1.61/0.57  % (10287)Instruction limit reached!
% 1.61/0.57  % (10287)------------------------------
% 1.61/0.57  % (10287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.57  Detected maximum model sizes of [32]
% 1.61/0.57  TRYING [1]
% 1.61/0.57  TRYING [1]
% 1.61/0.57  TRYING [2]
% 1.61/0.57  % (10287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.57  % (10287)Termination reason: Unknown
% 1.61/0.57  % (10287)Termination phase: Saturation
% 1.61/0.57  
% 1.61/0.57  % (10287)Memory used [KB]: 6012
% 1.61/0.57  % (10287)Time elapsed: 0.165 s
% 1.61/0.57  % (10287)Instructions burned: 8 (million)
% 1.61/0.57  % (10287)------------------------------
% 1.61/0.57  % (10287)------------------------------
% 1.61/0.57  TRYING [3]
% 1.77/0.58  % (10290)Refutation found. Thanks to Tanya!
% 1.77/0.58  % SZS status Unsatisfiable for theBenchmark
% 1.77/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.77/0.58  % (10290)------------------------------
% 1.77/0.58  % (10290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.58  % (10290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.58  % (10290)Termination reason: Refutation
% 1.77/0.58  
% 1.77/0.58  % (10290)Memory used [KB]: 6908
% 1.77/0.58  % (10290)Time elapsed: 0.152 s
% 1.77/0.58  % (10290)Instructions burned: 36 (million)
% 1.77/0.58  % (10290)------------------------------
% 1.77/0.58  % (10290)------------------------------
% 1.77/0.58  % (10279)Success in time 0.229 s
%------------------------------------------------------------------------------