TSTP Solution File: SYN509-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN509-1 : 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 : n003.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 19:38:38 EDT 2022

% Result   : Unsatisfiable 0.20s 0.59s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  321
% Syntax   : Number of formulae    :  753 (   1 unt;   0 def)
%            Number of atoms       : 2542 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3086 (1297   ~;1585   |;   0   &)
%                                         ( 204 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  233 ( 232 usr; 229 prp; 0-1 aty)
%            Number of functors    :   23 (  23 usr;  23 con; 0-0 aty)
%            Number of variables   :  264 ( 264   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3073,plain,
    $false,
    inference(avatar_sat_refutation,[],[f343,f352,f417,f422,f431,f436,f441,f459,f471,f488,f497,f522,f526,f535,f544,f552,f557,f569,f577,f599,f618,f623,f635,f647,f657,f658,f663,f667,f672,f680,f690,f699,f725,f739,f753,f763,f769,f774,f779,f784,f804,f805,f811,f812,f817,f822,f827,f833,f839,f850,f855,f860,f865,f869,f874,f880,f905,f910,f925,f930,f935,f940,f954,f959,f978,f983,f988,f993,f995,f1001,f1006,f1011,f1016,f1021,f1026,f1037,f1038,f1043,f1048,f1049,f1054,f1059,f1065,f1070,f1097,f1098,f1103,f1120,f1121,f1126,f1131,f1138,f1143,f1144,f1145,f1157,f1162,f1172,f1186,f1187,f1188,f1189,f1190,f1195,f1196,f1201,f1202,f1208,f1213,f1214,f1216,f1226,f1235,f1241,f1247,f1248,f1250,f1257,f1258,f1264,f1266,f1271,f1272,f1277,f1282,f1295,f1306,f1307,f1313,f1323,f1335,f1340,f1345,f1346,f1347,f1349,f1351,f1356,f1361,f1367,f1372,f1373,f1375,f1382,f1387,f1388,f1413,f1414,f1419,f1424,f1429,f1430,f1441,f1452,f1464,f1469,f1481,f1494,f1495,f1509,f1514,f1522,f1530,f1535,f1542,f1550,f1551,f1567,f1576,f1582,f1590,f1591,f1646,f1647,f1726,f1731,f1741,f1748,f1774,f1780,f1790,f1810,f1835,f1851,f1852,f1875,f1906,f2015,f2021,f2056,f2057,f2194,f2195,f2198,f2241,f2272,f2286,f2345,f2368,f2370,f2371,f2387,f2405,f2424,f2425,f2461,f2462,f2511,f2650,f2655,f2681,f2682,f2766,f2796,f2873,f3014,f3018,f3041,f3072]) ).

fof(f3072,plain,
    ( spl61_100
    | spl61_169
    | ~ spl61_49
    | ~ spl61_78 ),
    inference(avatar_split_clause,[],[f3061,f665,f537,f1128,f766]) ).

fof(f766,plain,
    ( spl61_100
  <=> c1_1(a454) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_100])]) ).

fof(f1128,plain,
    ( spl61_169
  <=> c0_1(a454) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_169])]) ).

fof(f537,plain,
    ( spl61_49
  <=> c3_1(a454) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_49])]) ).

fof(f665,plain,
    ( spl61_78
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_78])]) ).

fof(f3061,plain,
    ( c0_1(a454)
    | c1_1(a454)
    | ~ spl61_49
    | ~ spl61_78 ),
    inference(resolution,[],[f666,f539]) ).

fof(f539,plain,
    ( c3_1(a454)
    | ~ spl61_49 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f666,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl61_78 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f3041,plain,
    ( spl61_145
    | spl61_180
    | spl61_48
    | ~ spl61_160 ),
    inference(avatar_split_clause,[],[f3037,f1080,f532,f1192,f998]) ).

fof(f998,plain,
    ( spl61_145
  <=> c1_1(a445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_145])]) ).

fof(f1192,plain,
    ( spl61_180
  <=> c0_1(a445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_180])]) ).

fof(f532,plain,
    ( spl61_48
  <=> c3_1(a445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_48])]) ).

fof(f1080,plain,
    ( spl61_160
  <=> ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_160])]) ).

fof(f3037,plain,
    ( c0_1(a445)
    | c1_1(a445)
    | spl61_48
    | ~ spl61_160 ),
    inference(resolution,[],[f1081,f534]) ).

fof(f534,plain,
    ( ~ c3_1(a445)
    | spl61_48 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f1081,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl61_160 ),
    inference(avatar_component_clause,[],[f1080]) ).

fof(f3018,plain,
    ( ~ spl61_206
    | spl61_231
    | ~ spl61_135
    | spl61_199 ),
    inference(avatar_split_clause,[],[f3005,f1310,f948,f1777,f1353]) ).

fof(f1353,plain,
    ( spl61_206
  <=> c0_1(a442) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_206])]) ).

fof(f1777,plain,
    ( spl61_231
  <=> c1_1(a442) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_231])]) ).

fof(f948,plain,
    ( spl61_135
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_135])]) ).

fof(f1310,plain,
    ( spl61_199
  <=> c3_1(a442) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_199])]) ).

fof(f3005,plain,
    ( c1_1(a442)
    | ~ c0_1(a442)
    | ~ spl61_135
    | spl61_199 ),
    inference(resolution,[],[f949,f1312]) ).

fof(f1312,plain,
    ( ~ c3_1(a442)
    | spl61_199 ),
    inference(avatar_component_clause,[],[f1310]) ).

fof(f949,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl61_135 ),
    inference(avatar_component_clause,[],[f948]) ).

fof(f3014,plain,
    ( ~ spl61_157
    | spl61_23
    | spl61_53
    | ~ spl61_135 ),
    inference(avatar_split_clause,[],[f3007,f948,f554,f424,f1062]) ).

fof(f1062,plain,
    ( spl61_157
  <=> c0_1(a434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_157])]) ).

fof(f424,plain,
    ( spl61_23
  <=> c1_1(a434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_23])]) ).

fof(f554,plain,
    ( spl61_53
  <=> c3_1(a434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_53])]) ).

fof(f3007,plain,
    ( c1_1(a434)
    | ~ c0_1(a434)
    | spl61_53
    | ~ spl61_135 ),
    inference(resolution,[],[f949,f556]) ).

fof(f556,plain,
    ( ~ c3_1(a434)
    | spl61_53 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f2873,plain,
    ( spl61_121
    | ~ spl61_204
    | ~ spl61_131
    | spl61_154 ),
    inference(avatar_split_clause,[],[f2853,f1045,f928,f1337,f877]) ).

fof(f877,plain,
    ( spl61_121
  <=> c2_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_121])]) ).

fof(f1337,plain,
    ( spl61_204
  <=> c1_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_204])]) ).

fof(f928,plain,
    ( spl61_131
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_131])]) ).

fof(f1045,plain,
    ( spl61_154
  <=> c3_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_154])]) ).

fof(f2853,plain,
    ( ~ c1_1(a484)
    | c2_1(a484)
    | ~ spl61_131
    | spl61_154 ),
    inference(resolution,[],[f929,f1047]) ).

fof(f1047,plain,
    ( ~ c3_1(a484)
    | spl61_154 ),
    inference(avatar_component_clause,[],[f1045]) ).

fof(f929,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl61_131 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f2796,plain,
    ( spl61_180
    | spl61_145
    | ~ spl61_17
    | ~ spl61_224 ),
    inference(avatar_split_clause,[],[f2795,f1532,f398,f998,f1192]) ).

fof(f398,plain,
    ( spl61_17
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_17])]) ).

fof(f1532,plain,
    ( spl61_224
  <=> c2_1(a445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_224])]) ).

fof(f2795,plain,
    ( c1_1(a445)
    | c0_1(a445)
    | ~ spl61_17
    | ~ spl61_224 ),
    inference(resolution,[],[f399,f1533]) ).

fof(f1533,plain,
    ( c2_1(a445)
    | ~ spl61_224 ),
    inference(avatar_component_clause,[],[f1532]) ).

fof(f399,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl61_17 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f2766,plain,
    ( ~ spl61_144
    | spl61_116
    | ~ spl61_74
    | ~ spl61_226 ),
    inference(avatar_split_clause,[],[f2761,f1579,f645,f852,f990]) ).

fof(f990,plain,
    ( spl61_144
  <=> c1_1(a435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_144])]) ).

fof(f852,plain,
    ( spl61_116
  <=> c0_1(a435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_116])]) ).

fof(f645,plain,
    ( spl61_74
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_74])]) ).

fof(f1579,plain,
    ( spl61_226
  <=> c2_1(a435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_226])]) ).

fof(f2761,plain,
    ( c0_1(a435)
    | ~ c1_1(a435)
    | ~ spl61_74
    | ~ spl61_226 ),
    inference(resolution,[],[f646,f1580]) ).

fof(f1580,plain,
    ( c2_1(a435)
    | ~ spl61_226 ),
    inference(avatar_component_clause,[],[f1579]) ).

fof(f646,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl61_74 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f2682,plain,
    ( spl61_237
    | ~ spl61_204
    | ~ spl61_52
    | spl61_121 ),
    inference(avatar_split_clause,[],[f2663,f877,f550,f1337,f2341]) ).

fof(f2341,plain,
    ( spl61_237
  <=> c0_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_237])]) ).

fof(f550,plain,
    ( spl61_52
  <=> ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_52])]) ).

fof(f2663,plain,
    ( ~ c1_1(a484)
    | c0_1(a484)
    | ~ spl61_52
    | spl61_121 ),
    inference(resolution,[],[f551,f879]) ).

fof(f879,plain,
    ( ~ c2_1(a484)
    | spl61_121 ),
    inference(avatar_component_clause,[],[f877]) ).

fof(f551,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl61_52 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f2681,plain,
    ( spl61_205
    | ~ spl61_183
    | ~ spl61_52
    | spl61_222 ),
    inference(avatar_split_clause,[],[f2669,f1466,f550,f1210,f1342]) ).

fof(f1342,plain,
    ( spl61_205
  <=> c0_1(a450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_205])]) ).

fof(f1210,plain,
    ( spl61_183
  <=> c1_1(a450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_183])]) ).

fof(f1466,plain,
    ( spl61_222
  <=> c2_1(a450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_222])]) ).

fof(f2669,plain,
    ( ~ c1_1(a450)
    | c0_1(a450)
    | ~ spl61_52
    | spl61_222 ),
    inference(resolution,[],[f551,f1468]) ).

fof(f1468,plain,
    ( ~ c2_1(a450)
    | spl61_222 ),
    inference(avatar_component_clause,[],[f1466]) ).

fof(f2655,plain,
    ( ~ spl61_144
    | ~ spl61_116
    | ~ spl61_83
    | spl61_226 ),
    inference(avatar_split_clause,[],[f2419,f1579,f688,f852,f990]) ).

fof(f688,plain,
    ( spl61_83
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_83])]) ).

fof(f2419,plain,
    ( ~ c0_1(a435)
    | ~ c1_1(a435)
    | ~ spl61_83
    | spl61_226 ),
    inference(resolution,[],[f689,f1581]) ).

fof(f1581,plain,
    ( ~ c2_1(a435)
    | spl61_226 ),
    inference(avatar_component_clause,[],[f1579]) ).

fof(f689,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl61_83 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f2650,plain,
    ( spl61_226
    | ~ spl61_144
    | spl61_112
    | ~ spl61_131 ),
    inference(avatar_split_clause,[],[f2639,f928,f830,f990,f1579]) ).

fof(f830,plain,
    ( spl61_112
  <=> c3_1(a435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_112])]) ).

fof(f2639,plain,
    ( ~ c1_1(a435)
    | c2_1(a435)
    | spl61_112
    | ~ spl61_131 ),
    inference(resolution,[],[f929,f832]) ).

fof(f832,plain,
    ( ~ c3_1(a435)
    | spl61_112 ),
    inference(avatar_component_clause,[],[f830]) ).

fof(f2511,plain,
    ( spl61_192
    | spl61_221
    | ~ spl61_17
    | ~ spl61_130 ),
    inference(avatar_split_clause,[],[f2506,f922,f398,f1455,f1274]) ).

fof(f1274,plain,
    ( spl61_192
  <=> c0_1(a444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_192])]) ).

fof(f1455,plain,
    ( spl61_221
  <=> c1_1(a444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_221])]) ).

fof(f922,plain,
    ( spl61_130
  <=> c2_1(a444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_130])]) ).

fof(f2506,plain,
    ( c1_1(a444)
    | c0_1(a444)
    | ~ spl61_17
    | ~ spl61_130 ),
    inference(resolution,[],[f399,f924]) ).

fof(f924,plain,
    ( c2_1(a444)
    | ~ spl61_130 ),
    inference(avatar_component_clause,[],[f922]) ).

fof(f2462,plain,
    ( spl61_145
    | spl61_180
    | ~ spl61_104
    | spl61_224 ),
    inference(avatar_split_clause,[],[f2458,f1532,f788,f1192,f998]) ).

fof(f788,plain,
    ( spl61_104
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_104])]) ).

fof(f2458,plain,
    ( c0_1(a445)
    | c1_1(a445)
    | ~ spl61_104
    | spl61_224 ),
    inference(resolution,[],[f789,f1534]) ).

fof(f1534,plain,
    ( ~ c2_1(a445)
    | spl61_224 ),
    inference(avatar_component_clause,[],[f1532]) ).

fof(f789,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl61_104 ),
    inference(avatar_component_clause,[],[f788]) ).

fof(f2461,plain,
    ( spl61_120
    | spl61_126
    | spl61_4
    | ~ spl61_104 ),
    inference(avatar_split_clause,[],[f2459,f788,f340,f902,f871]) ).

fof(f871,plain,
    ( spl61_120
  <=> c0_1(a433) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_120])]) ).

fof(f902,plain,
    ( spl61_126
  <=> c1_1(a433) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_126])]) ).

fof(f340,plain,
    ( spl61_4
  <=> c2_1(a433) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_4])]) ).

fof(f2459,plain,
    ( c1_1(a433)
    | c0_1(a433)
    | spl61_4
    | ~ spl61_104 ),
    inference(resolution,[],[f789,f342]) ).

fof(f342,plain,
    ( ~ c2_1(a433)
    | spl61_4 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f2425,plain,
    ( ~ spl61_237
    | ~ spl61_204
    | ~ spl61_83
    | spl61_121 ),
    inference(avatar_split_clause,[],[f2412,f877,f688,f1337,f2341]) ).

fof(f2412,plain,
    ( ~ c1_1(a484)
    | ~ c0_1(a484)
    | ~ spl61_83
    | spl61_121 ),
    inference(resolution,[],[f689,f879]) ).

fof(f2424,plain,
    ( ~ spl61_115
    | ~ spl61_217
    | ~ spl61_83
    | spl61_181 ),
    inference(avatar_split_clause,[],[f2415,f1198,f688,f1421,f847]) ).

fof(f847,plain,
    ( spl61_115
  <=> c1_1(a452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_115])]) ).

fof(f1421,plain,
    ( spl61_217
  <=> c0_1(a452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_217])]) ).

fof(f1198,plain,
    ( spl61_181
  <=> c2_1(a452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_181])]) ).

fof(f2415,plain,
    ( ~ c0_1(a452)
    | ~ c1_1(a452)
    | ~ spl61_83
    | spl61_181 ),
    inference(resolution,[],[f689,f1200]) ).

fof(f1200,plain,
    ( ~ c2_1(a452)
    | spl61_181 ),
    inference(avatar_component_clause,[],[f1198]) ).

fof(f2405,plain,
    ( ~ spl61_221
    | spl61_192
    | ~ spl61_74
    | ~ spl61_130 ),
    inference(avatar_split_clause,[],[f2401,f922,f645,f1274,f1455]) ).

fof(f2401,plain,
    ( c0_1(a444)
    | ~ c1_1(a444)
    | ~ spl61_74
    | ~ spl61_130 ),
    inference(resolution,[],[f646,f924]) ).

fof(f2387,plain,
    ( ~ spl61_236
    | spl61_169
    | ~ spl61_33
    | ~ spl61_49 ),
    inference(avatar_split_clause,[],[f2384,f537,f469,f1128,f2282]) ).

fof(f2282,plain,
    ( spl61_236
  <=> c2_1(a454) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_236])]) ).

fof(f469,plain,
    ( spl61_33
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_33])]) ).

fof(f2384,plain,
    ( c0_1(a454)
    | ~ c2_1(a454)
    | ~ spl61_33
    | ~ spl61_49 ),
    inference(resolution,[],[f470,f539]) ).

fof(f470,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl61_33 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f2371,plain,
    ( ~ spl61_219
    | spl61_191
    | ~ spl61_22
    | ~ spl61_62 ),
    inference(avatar_split_clause,[],[f2361,f593,f419,f1261,f1438]) ).

fof(f1438,plain,
    ( spl61_219
  <=> c0_1(a451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_219])]) ).

fof(f1261,plain,
    ( spl61_191
  <=> c1_1(a451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_191])]) ).

fof(f419,plain,
    ( spl61_22
  <=> c2_1(a451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_22])]) ).

fof(f593,plain,
    ( spl61_62
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_62])]) ).

fof(f2361,plain,
    ( c1_1(a451)
    | ~ c0_1(a451)
    | ~ spl61_22
    | ~ spl61_62 ),
    inference(resolution,[],[f594,f421]) ).

fof(f421,plain,
    ( c2_1(a451)
    | ~ spl61_22 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f594,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl61_62 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f2370,plain,
    ( ~ spl61_232
    | spl61_39
    | ~ spl61_62
    | ~ spl61_196 ),
    inference(avatar_split_clause,[],[f2362,f1292,f593,f494,f1832]) ).

fof(f1832,plain,
    ( spl61_232
  <=> c0_1(a449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_232])]) ).

fof(f494,plain,
    ( spl61_39
  <=> c1_1(a449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_39])]) ).

fof(f1292,plain,
    ( spl61_196
  <=> c2_1(a449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_196])]) ).

fof(f2362,plain,
    ( c1_1(a449)
    | ~ c0_1(a449)
    | ~ spl61_62
    | ~ spl61_196 ),
    inference(resolution,[],[f594,f1294]) ).

fof(f1294,plain,
    ( c2_1(a449)
    | ~ spl61_196 ),
    inference(avatar_component_clause,[],[f1292]) ).

fof(f2368,plain,
    ( ~ spl61_189
    | spl61_141
    | ~ spl61_62
    | ~ spl61_146 ),
    inference(avatar_split_clause,[],[f2359,f1003,f593,f975,f1244]) ).

fof(f1244,plain,
    ( spl61_189
  <=> c0_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_189])]) ).

fof(f975,plain,
    ( spl61_141
  <=> c1_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_141])]) ).

fof(f1003,plain,
    ( spl61_146
  <=> c2_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_146])]) ).

fof(f2359,plain,
    ( c1_1(a463)
    | ~ c0_1(a463)
    | ~ spl61_62
    | ~ spl61_146 ),
    inference(resolution,[],[f594,f1005]) ).

fof(f1005,plain,
    ( c2_1(a463)
    | ~ spl61_146 ),
    inference(avatar_component_clause,[],[f1003]) ).

fof(f2345,plain,
    ( spl61_83
    | ~ spl61_36
    | ~ spl61_45 ),
    inference(avatar_split_clause,[],[f2338,f520,f481,f688]) ).

fof(f481,plain,
    ( spl61_36
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_36])]) ).

fof(f520,plain,
    ( spl61_45
  <=> ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_45])]) ).

fof(f2338,plain,
    ( ! [X3] :
        ( ~ c0_1(X3)
        | ~ c1_1(X3)
        | c2_1(X3) )
    | ~ spl61_36
    | ~ spl61_45 ),
    inference(duplicate_literal_removal,[],[f2319]) ).

fof(f2319,plain,
    ( ! [X3] :
        ( ~ c0_1(X3)
        | ~ c0_1(X3)
        | ~ c1_1(X3)
        | c2_1(X3) )
    | ~ spl61_36
    | ~ spl61_45 ),
    inference(resolution,[],[f521,f482]) ).

fof(f482,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl61_36 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f521,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl61_45 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f2286,plain,
    ( spl61_236
    | spl61_169
    | ~ spl61_1
    | ~ spl61_49 ),
    inference(avatar_split_clause,[],[f2276,f537,f328,f1128,f2282]) ).

fof(f328,plain,
    ( spl61_1
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c3_1(X2)
        | c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_1])]) ).

fof(f2276,plain,
    ( c0_1(a454)
    | c2_1(a454)
    | ~ spl61_1
    | ~ spl61_49 ),
    inference(resolution,[],[f539,f329]) ).

fof(f329,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2)
        | c2_1(X2) )
    | ~ spl61_1 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f2272,plain,
    ( spl61_218
    | spl61_101
    | ~ spl61_1
    | ~ spl61_211 ),
    inference(avatar_split_clause,[],[f2265,f1384,f328,f771,f1426]) ).

fof(f1426,plain,
    ( spl61_218
  <=> c2_1(a432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_218])]) ).

fof(f771,plain,
    ( spl61_101
  <=> c0_1(a432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_101])]) ).

fof(f1384,plain,
    ( spl61_211
  <=> c3_1(a432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_211])]) ).

fof(f2265,plain,
    ( c0_1(a432)
    | c2_1(a432)
    | ~ spl61_1
    | ~ spl61_211 ),
    inference(resolution,[],[f1386,f329]) ).

fof(f1386,plain,
    ( c3_1(a432)
    | ~ spl61_211 ),
    inference(avatar_component_clause,[],[f1384]) ).

fof(f2241,plain,
    ( spl61_230
    | ~ spl61_118
    | ~ spl61_52
    | spl61_153 ),
    inference(avatar_split_clause,[],[f2228,f1040,f550,f862,f1743]) ).

fof(f1743,plain,
    ( spl61_230
  <=> c0_1(a457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_230])]) ).

fof(f862,plain,
    ( spl61_118
  <=> c1_1(a457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_118])]) ).

fof(f1040,plain,
    ( spl61_153
  <=> c2_1(a457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_153])]) ).

fof(f2228,plain,
    ( ~ c1_1(a457)
    | c0_1(a457)
    | ~ spl61_52
    | spl61_153 ),
    inference(resolution,[],[f551,f1042]) ).

fof(f1042,plain,
    ( ~ c2_1(a457)
    | spl61_153 ),
    inference(avatar_component_clause,[],[f1040]) ).

fof(f2198,plain,
    ( spl61_39
    | ~ spl61_196
    | ~ spl61_119
    | spl61_143 ),
    inference(avatar_split_clause,[],[f2172,f985,f867,f1292,f494]) ).

fof(f867,plain,
    ( spl61_119
  <=> ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_119])]) ).

fof(f985,plain,
    ( spl61_143
  <=> c3_1(a449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_143])]) ).

fof(f2172,plain,
    ( ~ c2_1(a449)
    | c1_1(a449)
    | ~ spl61_119
    | spl61_143 ),
    inference(resolution,[],[f868,f987]) ).

fof(f987,plain,
    ( ~ c3_1(a449)
    | spl61_143 ),
    inference(avatar_component_clause,[],[f985]) ).

fof(f868,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl61_119 ),
    inference(avatar_component_clause,[],[f867]) ).

fof(f2195,plain,
    ( spl61_62
    | ~ spl61_19
    | ~ spl61_119 ),
    inference(avatar_split_clause,[],[f2181,f867,f406,f593]) ).

fof(f406,plain,
    ( spl61_19
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_19])]) ).

fof(f2181,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl61_19
    | ~ spl61_119 ),
    inference(duplicate_literal_removal,[],[f2162]) ).

fof(f2162,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl61_19
    | ~ spl61_119 ),
    inference(resolution,[],[f868,f407]) ).

fof(f407,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl61_19 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f2194,plain,
    ( spl61_62
    | ~ spl61_46
    | ~ spl61_119 ),
    inference(avatar_split_clause,[],[f2182,f867,f524,f593]) ).

fof(f524,plain,
    ( spl61_46
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_46])]) ).

fof(f2182,plain,
    ( ! [X4] :
        ( ~ c0_1(X4)
        | ~ c2_1(X4)
        | c1_1(X4) )
    | ~ spl61_46
    | ~ spl61_119 ),
    inference(duplicate_literal_removal,[],[f2165]) ).

fof(f2165,plain,
    ( ! [X4] :
        ( ~ c0_1(X4)
        | ~ c2_1(X4)
        | ~ c2_1(X4)
        | c1_1(X4) )
    | ~ spl61_46
    | ~ spl61_119 ),
    inference(resolution,[],[f868,f525]) ).

fof(f525,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl61_46 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f2057,plain,
    ( spl61_74
    | ~ spl61_33
    | ~ spl61_81 ),
    inference(avatar_split_clause,[],[f2053,f678,f469,f645]) ).

fof(f678,plain,
    ( spl61_81
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | c3_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_81])]) ).

fof(f2053,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) )
    | ~ spl61_33
    | ~ spl61_81 ),
    inference(duplicate_literal_removal,[],[f2034]) ).

fof(f2034,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) )
    | ~ spl61_33
    | ~ spl61_81 ),
    inference(resolution,[],[f679,f470]) ).

fof(f679,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) )
    | ~ spl61_81 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f2056,plain,
    ( spl61_116
    | ~ spl61_144
    | ~ spl61_81
    | spl61_112 ),
    inference(avatar_split_clause,[],[f2049,f830,f678,f990,f852]) ).

fof(f2049,plain,
    ( ~ c1_1(a435)
    | c0_1(a435)
    | ~ spl61_81
    | spl61_112 ),
    inference(resolution,[],[f679,f832]) ).

fof(f2021,plain,
    ( spl61_83
    | ~ spl61_14
    | ~ spl61_89 ),
    inference(avatar_split_clause,[],[f1983,f714,f386,f688]) ).

fof(f386,plain,
    ( spl61_14
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_14])]) ).

fof(f714,plain,
    ( spl61_89
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_89])]) ).

fof(f1983,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) )
    | ~ spl61_14
    | ~ spl61_89 ),
    inference(duplicate_literal_removal,[],[f1956]) ).

fof(f1956,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl61_14
    | ~ spl61_89 ),
    inference(resolution,[],[f715,f387]) ).

fof(f387,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl61_14 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f715,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl61_89 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f2015,plain,
    ( ~ spl61_233
    | ~ spl61_71
    | ~ spl61_83
    | ~ spl61_207 ),
    inference(avatar_split_clause,[],[f2006,f1358,f688,f633,f1847]) ).

fof(f1847,plain,
    ( spl61_233
  <=> c0_1(a447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_233])]) ).

fof(f633,plain,
    ( spl61_71
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_71])]) ).

fof(f1358,plain,
    ( spl61_207
  <=> c1_1(a447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_207])]) ).

fof(f2006,plain,
    ( ~ c0_1(a447)
    | ~ spl61_71
    | ~ spl61_83
    | ~ spl61_207 ),
    inference(resolution,[],[f1954,f1360]) ).

fof(f1360,plain,
    ( c1_1(a447)
    | ~ spl61_207 ),
    inference(avatar_component_clause,[],[f1358]) ).

fof(f1954,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl61_71
    | ~ spl61_83 ),
    inference(duplicate_literal_removal,[],[f1936]) ).

fof(f1936,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c1_1(X1)
        | ~ c0_1(X1)
        | ~ c0_1(X1) )
    | ~ spl61_71
    | ~ spl61_83 ),
    inference(resolution,[],[f689,f634]) ).

fof(f634,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl61_71 ),
    inference(avatar_component_clause,[],[f633]) ).

fof(f1906,plain,
    ( spl61_74
    | ~ spl61_16
    | ~ spl61_33 ),
    inference(avatar_split_clause,[],[f1902,f469,f394,f645]) ).

fof(f394,plain,
    ( spl61_16
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_16])]) ).

fof(f1902,plain,
    ( ! [X3] :
        ( c0_1(X3)
        | ~ c2_1(X3)
        | ~ c1_1(X3) )
    | ~ spl61_16
    | ~ spl61_33 ),
    inference(duplicate_literal_removal,[],[f1881]) ).

fof(f1881,plain,
    ( ! [X3] :
        ( ~ c2_1(X3)
        | ~ c1_1(X3)
        | ~ c2_1(X3)
        | c0_1(X3) )
    | ~ spl61_16
    | ~ spl61_33 ),
    inference(resolution,[],[f395,f470]) ).

fof(f395,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl61_16 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f1875,plain,
    ( spl61_116
    | ~ spl61_144
    | ~ spl61_52
    | spl61_226 ),
    inference(avatar_split_clause,[],[f1868,f1579,f550,f990,f852]) ).

fof(f1868,plain,
    ( ~ c1_1(a435)
    | c0_1(a435)
    | ~ spl61_52
    | spl61_226 ),
    inference(resolution,[],[f551,f1581]) ).

fof(f1852,plain,
    ( spl61_233
    | ~ spl61_117
    | ~ spl61_33
    | ~ spl61_215 ),
    inference(avatar_split_clause,[],[f1841,f1410,f469,f857,f1847]) ).

fof(f857,plain,
    ( spl61_117
  <=> c2_1(a447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_117])]) ).

fof(f1410,plain,
    ( spl61_215
  <=> c3_1(a447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_215])]) ).

fof(f1841,plain,
    ( ~ c2_1(a447)
    | c0_1(a447)
    | ~ spl61_33
    | ~ spl61_215 ),
    inference(resolution,[],[f1412,f470]) ).

fof(f1412,plain,
    ( c3_1(a447)
    | ~ spl61_215 ),
    inference(avatar_component_clause,[],[f1410]) ).

fof(f1851,plain,
    ( ~ spl61_207
    | ~ spl61_233
    | ~ spl61_36
    | ~ spl61_215 ),
    inference(avatar_split_clause,[],[f1842,f1410,f481,f1847,f1358]) ).

fof(f1842,plain,
    ( ~ c0_1(a447)
    | ~ c1_1(a447)
    | ~ spl61_36
    | ~ spl61_215 ),
    inference(resolution,[],[f1412,f482]) ).

fof(f1835,plain,
    ( spl61_232
    | spl61_39
    | ~ spl61_17
    | ~ spl61_196 ),
    inference(avatar_split_clause,[],[f1827,f1292,f398,f494,f1832]) ).

fof(f1827,plain,
    ( c1_1(a449)
    | c0_1(a449)
    | ~ spl61_17
    | ~ spl61_196 ),
    inference(resolution,[],[f399,f1294]) ).

fof(f1810,plain,
    ( spl61_185
    | spl61_66
    | ~ spl61_56
    | ~ spl61_163 ),
    inference(avatar_split_clause,[],[f1809,f1094,f567,f611,f1223]) ).

fof(f1223,plain,
    ( spl61_185
  <=> c1_1(a443) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_185])]) ).

fof(f611,plain,
    ( spl61_66
  <=> c2_1(a443) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_66])]) ).

fof(f567,plain,
    ( spl61_56
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_56])]) ).

fof(f1094,plain,
    ( spl61_163
  <=> c3_1(a443) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_163])]) ).

fof(f1809,plain,
    ( c2_1(a443)
    | c1_1(a443)
    | ~ spl61_56
    | ~ spl61_163 ),
    inference(resolution,[],[f568,f1096]) ).

fof(f1096,plain,
    ( c3_1(a443)
    | ~ spl61_163 ),
    inference(avatar_component_clause,[],[f1094]) ).

fof(f568,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl61_56 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f1790,plain,
    ( spl61_205
    | spl61_222
    | ~ spl61_1
    | ~ spl61_173 ),
    inference(avatar_split_clause,[],[f1786,f1154,f328,f1466,f1342]) ).

fof(f1154,plain,
    ( spl61_173
  <=> c3_1(a450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_173])]) ).

fof(f1786,plain,
    ( c2_1(a450)
    | c0_1(a450)
    | ~ spl61_1
    | ~ spl61_173 ),
    inference(resolution,[],[f329,f1156]) ).

fof(f1156,plain,
    ( c3_1(a450)
    | ~ spl61_173 ),
    inference(avatar_component_clause,[],[f1154]) ).

fof(f1780,plain,
    ( ~ spl61_231
    | ~ spl61_29
    | ~ spl61_16
    | spl61_199 ),
    inference(avatar_split_clause,[],[f1763,f1310,f394,f452,f1777]) ).

fof(f452,plain,
    ( spl61_29
  <=> c2_1(a442) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_29])]) ).

fof(f1763,plain,
    ( ~ c2_1(a442)
    | ~ c1_1(a442)
    | ~ spl61_16
    | spl61_199 ),
    inference(resolution,[],[f395,f1312]) ).

fof(f1774,plain,
    ( spl61_71
    | ~ spl61_16
    | ~ spl61_36 ),
    inference(avatar_split_clause,[],[f1772,f481,f394,f633]) ).

fof(f1772,plain,
    ( ! [X5] :
        ( ~ c1_1(X5)
        | ~ c0_1(X5)
        | ~ c2_1(X5) )
    | ~ spl61_16
    | ~ spl61_36 ),
    inference(duplicate_literal_removal,[],[f1757]) ).

fof(f1757,plain,
    ( ! [X5] :
        ( ~ c1_1(X5)
        | ~ c0_1(X5)
        | ~ c2_1(X5)
        | ~ c1_1(X5) )
    | ~ spl61_16
    | ~ spl61_36 ),
    inference(resolution,[],[f395,f482]) ).

fof(f1748,plain,
    ( ~ spl61_230
    | ~ spl61_118
    | ~ spl61_36
    | ~ spl61_209 ),
    inference(avatar_split_clause,[],[f1740,f1369,f481,f862,f1743]) ).

fof(f1369,plain,
    ( spl61_209
  <=> c3_1(a457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_209])]) ).

fof(f1740,plain,
    ( ~ c1_1(a457)
    | ~ c0_1(a457)
    | ~ spl61_36
    | ~ spl61_209 ),
    inference(resolution,[],[f1371,f482]) ).

fof(f1371,plain,
    ( c3_1(a457)
    | ~ spl61_209 ),
    inference(avatar_component_clause,[],[f1369]) ).

fof(f1741,plain,
    ( spl61_153
    | ~ spl61_118
    | ~ spl61_35
    | ~ spl61_209 ),
    inference(avatar_split_clause,[],[f1735,f1369,f477,f862,f1040]) ).

fof(f477,plain,
    ( spl61_35
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_35])]) ).

fof(f1735,plain,
    ( ~ c1_1(a457)
    | c2_1(a457)
    | ~ spl61_35
    | ~ spl61_209 ),
    inference(resolution,[],[f1371,f478]) ).

fof(f478,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c2_1(X1) )
    | ~ spl61_35 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f1731,plain,
    ( spl61_176
    | ~ spl61_21
    | spl61_26
    | ~ spl61_99 ),
    inference(avatar_split_clause,[],[f1652,f760,f438,f414,f1169]) ).

fof(f1169,plain,
    ( spl61_176
  <=> c1_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_176])]) ).

fof(f414,plain,
    ( spl61_21
  <=> c0_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_21])]) ).

fof(f438,plain,
    ( spl61_26
  <=> c2_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_26])]) ).

fof(f760,plain,
    ( spl61_99
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_99])]) ).

fof(f1652,plain,
    ( ~ c0_1(a467)
    | c1_1(a467)
    | spl61_26
    | ~ spl61_99 ),
    inference(resolution,[],[f761,f440]) ).

fof(f440,plain,
    ( ~ c2_1(a467)
    | spl61_26 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f761,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | ~ c0_1(X2)
        | c1_1(X2) )
    | ~ spl61_99 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f1726,plain,
    ( ~ spl61_85
    | ~ spl61_62
    | ~ spl61_99
    | spl61_220 ),
    inference(avatar_split_clause,[],[f1712,f1448,f760,f593,f696]) ).

fof(f696,plain,
    ( spl61_85
  <=> c0_1(a437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_85])]) ).

fof(f1448,plain,
    ( spl61_220
  <=> c1_1(a437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_220])]) ).

fof(f1712,plain,
    ( ~ c0_1(a437)
    | ~ spl61_62
    | ~ spl61_99
    | spl61_220 ),
    inference(resolution,[],[f1658,f1449]) ).

fof(f1449,plain,
    ( ~ c1_1(a437)
    | spl61_220 ),
    inference(avatar_component_clause,[],[f1448]) ).

fof(f1658,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl61_62
    | ~ spl61_99 ),
    inference(duplicate_literal_removal,[],[f1649]) ).

fof(f1649,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1)
        | ~ c0_1(X1) )
    | ~ spl61_62
    | ~ spl61_99 ),
    inference(resolution,[],[f761,f594]) ).

fof(f1647,plain,
    ( ~ spl61_174
    | ~ spl61_225
    | ~ spl61_89
    | spl61_216 ),
    inference(avatar_split_clause,[],[f1636,f1416,f714,f1539,f1159]) ).

fof(f1159,plain,
    ( spl61_174
  <=> c1_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_174])]) ).

fof(f1539,plain,
    ( spl61_225
  <=> c0_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_225])]) ).

fof(f1416,plain,
    ( spl61_216
  <=> c3_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_216])]) ).

fof(f1636,plain,
    ( ~ c0_1(a492)
    | ~ c1_1(a492)
    | ~ spl61_89
    | spl61_216 ),
    inference(resolution,[],[f715,f1418]) ).

fof(f1418,plain,
    ( ~ c3_1(a492)
    | spl61_216 ),
    inference(avatar_component_clause,[],[f1416]) ).

fof(f1646,plain,
    ( spl61_71
    | ~ spl61_46
    | ~ spl61_89 ),
    inference(avatar_split_clause,[],[f1642,f714,f524,f633]) ).

fof(f1642,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | ~ c1_1(X2)
        | ~ c0_1(X2) )
    | ~ spl61_46
    | ~ spl61_89 ),
    inference(duplicate_literal_removal,[],[f1633]) ).

fof(f1633,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2)
        | ~ c0_1(X2) )
    | ~ spl61_46
    | ~ spl61_89 ),
    inference(resolution,[],[f715,f525]) ).

fof(f1591,plain,
    ( spl61_223
    | spl61_101
    | ~ spl61_78
    | ~ spl61_211 ),
    inference(avatar_split_clause,[],[f1587,f1384,f665,f771,f1511]) ).

fof(f1511,plain,
    ( spl61_223
  <=> c1_1(a432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_223])]) ).

fof(f1587,plain,
    ( c0_1(a432)
    | c1_1(a432)
    | ~ spl61_78
    | ~ spl61_211 ),
    inference(resolution,[],[f666,f1386]) ).

fof(f1590,plain,
    ( spl61_219
    | spl61_191
    | ~ spl61_25
    | ~ spl61_78 ),
    inference(avatar_split_clause,[],[f1585,f665,f433,f1261,f1438]) ).

fof(f433,plain,
    ( spl61_25
  <=> c3_1(a451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_25])]) ).

fof(f1585,plain,
    ( c1_1(a451)
    | c0_1(a451)
    | ~ spl61_25
    | ~ spl61_78 ),
    inference(resolution,[],[f666,f435]) ).

fof(f435,plain,
    ( c3_1(a451)
    | ~ spl61_25 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f1582,plain,
    ( ~ spl61_226
    | spl61_116
    | ~ spl61_58
    | spl61_112 ),
    inference(avatar_split_clause,[],[f1577,f830,f575,f852,f1579]) ).

fof(f575,plain,
    ( spl61_58
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_58])]) ).

fof(f1577,plain,
    ( c0_1(a435)
    | ~ c2_1(a435)
    | ~ spl61_58
    | spl61_112 ),
    inference(resolution,[],[f832,f576]) ).

fof(f576,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl61_58 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f1576,plain,
    ( spl61_110
    | ~ spl61_79
    | ~ spl61_74
    | ~ spl61_132 ),
    inference(avatar_split_clause,[],[f1572,f932,f645,f669,f819]) ).

fof(f819,plain,
    ( spl61_110
  <=> c0_1(a486) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_110])]) ).

fof(f669,plain,
    ( spl61_79
  <=> c1_1(a486) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_79])]) ).

fof(f932,plain,
    ( spl61_132
  <=> c2_1(a486) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_132])]) ).

fof(f1572,plain,
    ( ~ c1_1(a486)
    | c0_1(a486)
    | ~ spl61_74
    | ~ spl61_132 ),
    inference(resolution,[],[f646,f934]) ).

fof(f934,plain,
    ( c2_1(a486)
    | ~ spl61_132 ),
    inference(avatar_component_clause,[],[f932]) ).

fof(f1567,plain,
    ( ~ spl61_164
    | ~ spl61_6
    | ~ spl61_71
    | ~ spl61_76 ),
    inference(avatar_split_clause,[],[f1561,f654,f633,f349,f1100]) ).

fof(f1100,plain,
    ( spl61_164
  <=> c0_1(a456) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_164])]) ).

fof(f349,plain,
    ( spl61_6
  <=> c1_1(a456) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_6])]) ).

fof(f654,plain,
    ( spl61_76
  <=> c2_1(a456) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_76])]) ).

fof(f1561,plain,
    ( ~ c1_1(a456)
    | ~ c0_1(a456)
    | ~ spl61_71
    | ~ spl61_76 ),
    inference(resolution,[],[f634,f656]) ).

fof(f656,plain,
    ( c2_1(a456)
    | ~ spl61_76 ),
    inference(avatar_component_clause,[],[f654]) ).

fof(f1551,plain,
    ( ~ spl61_223
    | spl61_101
    | ~ spl61_43
    | ~ spl61_211 ),
    inference(avatar_split_clause,[],[f1548,f1384,f512,f771,f1511]) ).

fof(f512,plain,
    ( spl61_43
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_43])]) ).

fof(f1548,plain,
    ( c0_1(a432)
    | ~ c1_1(a432)
    | ~ spl61_43
    | ~ spl61_211 ),
    inference(resolution,[],[f513,f1386]) ).

fof(f513,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl61_43 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f1550,plain,
    ( ~ spl61_183
    | spl61_205
    | ~ spl61_43
    | ~ spl61_173 ),
    inference(avatar_split_clause,[],[f1547,f1154,f512,f1342,f1210]) ).

fof(f1547,plain,
    ( c0_1(a450)
    | ~ c1_1(a450)
    | ~ spl61_43
    | ~ spl61_173 ),
    inference(resolution,[],[f513,f1156]) ).

fof(f1542,plain,
    ( spl61_225
    | ~ spl61_210
    | ~ spl61_58
    | spl61_216 ),
    inference(avatar_split_clause,[],[f1536,f1416,f575,f1379,f1539]) ).

fof(f1379,plain,
    ( spl61_210
  <=> c2_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_210])]) ).

fof(f1536,plain,
    ( ~ c2_1(a492)
    | c0_1(a492)
    | ~ spl61_58
    | spl61_216 ),
    inference(resolution,[],[f1418,f576]) ).

fof(f1535,plain,
    ( spl61_180
    | ~ spl61_224
    | spl61_48
    | ~ spl61_58 ),
    inference(avatar_split_clause,[],[f1528,f575,f532,f1532,f1192]) ).

fof(f1528,plain,
    ( ~ c2_1(a445)
    | c0_1(a445)
    | spl61_48
    | ~ spl61_58 ),
    inference(resolution,[],[f576,f534]) ).

fof(f1530,plain,
    ( ~ spl61_130
    | spl61_192
    | ~ spl61_58
    | spl61_150 ),
    inference(avatar_split_clause,[],[f1526,f1023,f575,f1274,f922]) ).

fof(f1023,plain,
    ( spl61_150
  <=> c3_1(a444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_150])]) ).

fof(f1526,plain,
    ( c0_1(a444)
    | ~ c2_1(a444)
    | ~ spl61_58
    | spl61_150 ),
    inference(resolution,[],[f576,f1025]) ).

fof(f1025,plain,
    ( ~ c3_1(a444)
    | spl61_150 ),
    inference(avatar_component_clause,[],[f1023]) ).

fof(f1522,plain,
    ( spl61_218
    | spl61_223
    | ~ spl61_56
    | ~ spl61_211 ),
    inference(avatar_split_clause,[],[f1521,f1384,f567,f1511,f1426]) ).

fof(f1521,plain,
    ( c1_1(a432)
    | c2_1(a432)
    | ~ spl61_56
    | ~ spl61_211 ),
    inference(resolution,[],[f568,f1386]) ).

fof(f1514,plain,
    ( ~ spl61_223
    | spl61_101
    | ~ spl61_52
    | spl61_218 ),
    inference(avatar_split_clause,[],[f1507,f1426,f550,f771,f1511]) ).

fof(f1507,plain,
    ( c0_1(a432)
    | ~ c1_1(a432)
    | ~ spl61_52
    | spl61_218 ),
    inference(resolution,[],[f551,f1428]) ).

fof(f1428,plain,
    ( ~ c2_1(a432)
    | spl61_218 ),
    inference(avatar_component_clause,[],[f1426]) ).

fof(f1509,plain,
    ( ~ spl61_171
    | spl61_107
    | ~ spl61_52
    | spl61_91 ),
    inference(avatar_split_clause,[],[f1506,f722,f550,f801,f1140]) ).

fof(f1140,plain,
    ( spl61_171
  <=> c1_1(a448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_171])]) ).

fof(f801,plain,
    ( spl61_107
  <=> c0_1(a448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_107])]) ).

fof(f722,plain,
    ( spl61_91
  <=> c2_1(a448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_91])]) ).

fof(f1506,plain,
    ( c0_1(a448)
    | ~ c1_1(a448)
    | ~ spl61_52
    | spl61_91 ),
    inference(resolution,[],[f551,f724]) ).

fof(f724,plain,
    ( ~ c2_1(a448)
    | spl61_91 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f1495,plain,
    ( ~ spl61_85
    | ~ spl61_198
    | ~ spl61_46
    | ~ spl61_127 ),
    inference(avatar_split_clause,[],[f1489,f907,f524,f1303,f696]) ).

fof(f1303,plain,
    ( spl61_198
  <=> c2_1(a437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_198])]) ).

fof(f907,plain,
    ( spl61_127
  <=> c3_1(a437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_127])]) ).

fof(f1489,plain,
    ( ~ c2_1(a437)
    | ~ c0_1(a437)
    | ~ spl61_46
    | ~ spl61_127 ),
    inference(resolution,[],[f525,f909]) ).

fof(f909,plain,
    ( c3_1(a437)
    | ~ spl61_127 ),
    inference(avatar_component_clause,[],[f907]) ).

fof(f1494,plain,
    ( ~ spl61_22
    | ~ spl61_219
    | ~ spl61_25
    | ~ spl61_46 ),
    inference(avatar_split_clause,[],[f1490,f524,f433,f1438,f419]) ).

fof(f1490,plain,
    ( ~ c0_1(a451)
    | ~ c2_1(a451)
    | ~ spl61_25
    | ~ spl61_46 ),
    inference(resolution,[],[f525,f435]) ).

fof(f1481,plain,
    ( ~ spl61_220
    | ~ spl61_85
    | ~ spl61_36
    | ~ spl61_127 ),
    inference(avatar_split_clause,[],[f1477,f907,f481,f696,f1448]) ).

fof(f1477,plain,
    ( ~ c0_1(a437)
    | ~ c1_1(a437)
    | ~ spl61_36
    | ~ spl61_127 ),
    inference(resolution,[],[f482,f909]) ).

fof(f1469,plain,
    ( spl61_205
    | ~ spl61_222
    | ~ spl61_33
    | ~ spl61_173 ),
    inference(avatar_split_clause,[],[f1462,f1154,f469,f1466,f1342]) ).

fof(f1462,plain,
    ( ~ c2_1(a450)
    | c0_1(a450)
    | ~ spl61_33
    | ~ spl61_173 ),
    inference(resolution,[],[f470,f1156]) ).

fof(f1464,plain,
    ( spl61_219
    | ~ spl61_22
    | ~ spl61_25
    | ~ spl61_33 ),
    inference(avatar_split_clause,[],[f1461,f469,f433,f419,f1438]) ).

fof(f1461,plain,
    ( ~ c2_1(a451)
    | c0_1(a451)
    | ~ spl61_25
    | ~ spl61_33 ),
    inference(resolution,[],[f470,f435]) ).

fof(f1452,plain,
    ( spl61_191
    | ~ spl61_219
    | ~ spl61_19
    | ~ spl61_25 ),
    inference(avatar_split_clause,[],[f1445,f433,f406,f1438,f1261]) ).

fof(f1445,plain,
    ( ~ c0_1(a451)
    | c1_1(a451)
    | ~ spl61_19
    | ~ spl61_25 ),
    inference(resolution,[],[f407,f435]) ).

fof(f1441,plain,
    ( spl61_191
    | spl61_219
    | ~ spl61_17
    | ~ spl61_22 ),
    inference(avatar_split_clause,[],[f1435,f419,f398,f1438,f1261]) ).

fof(f1435,plain,
    ( c0_1(a451)
    | c1_1(a451)
    | ~ spl61_17
    | ~ spl61_22 ),
    inference(resolution,[],[f399,f421]) ).

fof(f1430,plain,
    ( spl61_149
    | spl61_62 ),
    inference(avatar_split_clause,[],[f319,f593,f1018]) ).

fof(f1018,plain,
    ( spl61_149
  <=> sP57 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_149])]) ).

fof(f319,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | sP57
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f319_D]) ).

fof(f319_D,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
  <=> ~ sP57 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP57])]) ).

fof(f1429,plain,
    ( ~ spl61_218
    | ~ spl61_31 ),
    inference(avatar_split_clause,[],[f130,f461,f1426]) ).

fof(f461,plain,
    ( spl61_31
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_31])]) ).

fof(f130,axiom,
    ( ~ hskp0
    | ~ c2_1(a432) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f1424,plain,
    ( ~ spl61_51
    | spl61_217 ),
    inference(avatar_split_clause,[],[f65,f1421,f546]) ).

fof(f546,plain,
    ( spl61_51
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_51])]) ).

fof(f65,axiom,
    ( c0_1(a452)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f1419,plain,
    ( ~ spl61_133
    | ~ spl61_216 ),
    inference(avatar_split_clause,[],[f86,f1416,f937]) ).

fof(f937,plain,
    ( spl61_133
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_133])]) ).

fof(f86,axiom,
    ( ~ c3_1(a492)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f1414,plain,
    ( ~ spl61_111
    | spl61_9 ),
    inference(avatar_split_clause,[],[f8,f363,f824]) ).

fof(f824,plain,
    ( spl61_111
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_111])]) ).

fof(f363,plain,
    ( spl61_9
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_9])]) ).

fof(f8,axiom,
    ( ndr1_0
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f1413,plain,
    ( spl61_215
    | ~ spl61_10 ),
    inference(avatar_split_clause,[],[f43,f367,f1410]) ).

fof(f367,plain,
    ( spl61_10
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_10])]) ).

fof(f43,axiom,
    ( ~ hskp29
    | c3_1(a447) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f1388,plain,
    ( spl61_96
    | spl61_33 ),
    inference(avatar_split_clause,[],[f227,f469,f746]) ).

fof(f746,plain,
    ( spl61_96
  <=> sP11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_96])]) ).

fof(f227,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0)
      | sP11 ),
    inference(cnf_transformation,[],[f227_D]) ).

fof(f227_D,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
  <=> ~ sP11 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP11])]) ).

fof(f1387,plain,
    ( spl61_211
    | ~ spl61_31 ),
    inference(avatar_split_clause,[],[f82,f461,f1384]) ).

fof(f82,axiom,
    ( ~ hskp0
    | c3_1(a432) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f1382,plain,
    ( ~ spl61_133
    | spl61_210 ),
    inference(avatar_split_clause,[],[f48,f1379,f937]) ).

fof(f48,axiom,
    ( c2_1(a492)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f1375,plain,
    ( spl61_83
    | spl61_201 ),
    inference(avatar_split_clause,[],[f229,f1320,f688]) ).

fof(f1320,plain,
    ( spl61_201
  <=> sP12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_201])]) ).

fof(f229,plain,
    ! [X0] :
      ( sP12
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f229_D]) ).

fof(f229_D,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
  <=> ~ sP12 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP12])]) ).

fof(f1373,plain,
    ( spl61_182
    | spl61_33 ),
    inference(avatar_split_clause,[],[f211,f469,f1205]) ).

fof(f1205,plain,
    ( spl61_182
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_182])]) ).

fof(f211,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | sP3
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(cnf_transformation,[],[f211_D]) ).

fof(f211_D,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
  <=> ~ sP3 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).

fof(f1372,plain,
    ( spl61_209
    | ~ spl61_94 ),
    inference(avatar_split_clause,[],[f63,f736,f1369]) ).

fof(f736,plain,
    ( spl61_94
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_94])]) ).

fof(f63,axiom,
    ( ~ hskp16
    | c3_1(a457) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f1367,plain,
    ( spl61_69
    | spl61_36 ),
    inference(avatar_split_clause,[],[f279,f481,f625]) ).

fof(f625,plain,
    ( spl61_69
  <=> sP37 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_69])]) ).

fof(f279,plain,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | sP37
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f279_D]) ).

fof(f279_D,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
  <=> ~ sP37 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP37])]) ).

fof(f1361,plain,
    ( spl61_207
    | ~ spl61_10 ),
    inference(avatar_split_clause,[],[f41,f367,f1358]) ).

fof(f41,axiom,
    ( ~ hskp29
    | c1_1(a447) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f1356,plain,
    ( spl61_206
    | ~ spl61_30 ),
    inference(avatar_split_clause,[],[f75,f456,f1353]) ).

fof(f456,plain,
    ( spl61_30
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_30])]) ).

fof(f75,axiom,
    ( ~ hskp6
    | c0_1(a442) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f1351,plain,
    ( spl61_51
    | spl61_5
    | spl61_63 ),
    inference(avatar_split_clause,[],[f32,f596,f345,f546]) ).

fof(f345,plain,
    ( spl61_5
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_5])]) ).

fof(f596,plain,
    ( spl61_63
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_63])]) ).

fof(f32,axiom,
    ( hskp24
    | hskp30
    | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).

fof(f1349,plain,
    ( spl61_102
    | spl61_83 ),
    inference(avatar_split_clause,[],[f269,f688,f776]) ).

fof(f776,plain,
    ( spl61_102
  <=> sP32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_102])]) ).

fof(f269,plain,
    ! [X0] :
      ( c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | sP32 ),
    inference(cnf_transformation,[],[f269_D]) ).

fof(f269_D,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
  <=> ~ sP32 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP32])]) ).

fof(f1347,plain,
    ( ~ spl61_147
    | ~ spl61_9
    | spl61_83
    | ~ spl61_193 ),
    inference(avatar_split_clause,[],[f236,f1279,f688,f363,f1008]) ).

fof(f1008,plain,
    ( spl61_147
  <=> sP14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_147])]) ).

fof(f1279,plain,
    ( spl61_193
  <=> sP15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_193])]) ).

fof(f236,plain,
    ! [X1] :
      ( ~ sP15
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ sP14 ),
    inference(general_splitting,[],[f234,f235_D]) ).

fof(f235,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ c2_1(X0)
      | sP15
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f235_D]) ).

fof(f235_D,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
  <=> ~ sP15 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP15])]) ).

fof(f234,plain,
    ! [X0,X1] :
      ( ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ sP14 ),
    inference(general_splitting,[],[f200,f233_D]) ).

fof(f233,plain,
    ! [X2] :
      ( c0_1(X2)
      | sP14
      | c1_1(X2)
      | ~ c2_1(X2) ),
    inference(cnf_transformation,[],[f233_D]) ).

fof(f233_D,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | ~ c2_1(X2) )
  <=> ~ sP14 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP14])]) ).

fof(f200,axiom,
    ! [X2,X0,X1] :
      ( c0_1(X2)
      | c1_1(X2)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).

fof(f1346,plain,
    ( ~ spl61_9
    | ~ spl61_68
    | ~ spl61_203
    | spl61_74 ),
    inference(avatar_split_clause,[],[f312,f645,f1332,f620,f363]) ).

fof(f620,plain,
    ( spl61_68
  <=> sP53 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_68])]) ).

fof(f1332,plain,
    ( spl61_203
  <=> sP52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_203])]) ).

fof(f312,plain,
    ! [X1] :
      ( c0_1(X1)
      | ~ c2_1(X1)
      | ~ sP52
      | ~ c1_1(X1)
      | ~ sP53
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f310,f311_D]) ).

fof(f311,plain,
    ! [X0] :
      ( c1_1(X0)
      | ~ c3_1(X0)
      | sP53
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f311_D]) ).

fof(f311_D,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
  <=> ~ sP53 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP53])]) ).

fof(f310,plain,
    ! [X0,X1] :
      ( c0_1(X1)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ sP52 ),
    inference(general_splitting,[],[f197,f309_D]) ).

fof(f309,plain,
    ! [X2] :
      ( ~ c3_1(X2)
      | c2_1(X2)
      | c0_1(X2)
      | sP52 ),
    inference(cnf_transformation,[],[f309_D]) ).

fof(f309_D,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
  <=> ~ sP52 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP52])]) ).

fof(f197,axiom,
    ! [X2,X0,X1] :
      ( c0_1(X1)
      | c1_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | c2_1(X2)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).

fof(f1345,plain,
    ( ~ spl61_205
    | ~ spl61_122 ),
    inference(avatar_split_clause,[],[f106,f882,f1342]) ).

fof(f882,plain,
    ( spl61_122
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_122])]) ).

fof(f106,axiom,
    ( ~ hskp12
    | ~ c0_1(a450) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f1340,plain,
    ( ~ spl61_111
    | spl61_204 ),
    inference(avatar_split_clause,[],[f53,f1337,f824]) ).

fof(f53,axiom,
    ( c1_1(a484)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f1335,plain,
    ( spl61_203
    | spl61_1 ),
    inference(avatar_split_clause,[],[f309,f328,f1332]) ).

fof(f1323,plain,
    ( ~ spl61_9
    | spl61_11
    | spl61_160
    | ~ spl61_201 ),
    inference(avatar_split_clause,[],[f230,f1320,f1080,f372,f363]) ).

fof(f372,plain,
    ( spl61_11
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_11])]) ).

fof(f230,plain,
    ! [X1] :
      ( ~ sP12
      | c0_1(X1)
      | c3_1(X1)
      | hskp3
      | c1_1(X1)
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f161,f229_D]) ).

fof(f161,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0)
      | hskp3
      | ~ ndr1_0
      | ~ c0_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f1313,plain,
    ( ~ spl61_30
    | ~ spl61_199 ),
    inference(avatar_split_clause,[],[f118,f1310,f456]) ).

fof(f118,axiom,
    ( ~ c3_1(a442)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f1307,plain,
    ( spl61_56
    | spl61_148 ),
    inference(avatar_split_clause,[],[f303,f1013,f567]) ).

fof(f1013,plain,
    ( spl61_148
  <=> sP49 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_148])]) ).

fof(f303,plain,
    ! [X0] :
      ( sP49
      | c1_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    inference(cnf_transformation,[],[f303_D]) ).

fof(f303_D,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
  <=> ~ sP49 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP49])]) ).

fof(f1306,plain,
    ( spl61_198
    | ~ spl61_84 ),
    inference(avatar_split_clause,[],[f45,f692,f1303]) ).

fof(f692,plain,
    ( spl61_84
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_84])]) ).

fof(f45,axiom,
    ( ~ hskp28
    | c2_1(a437) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f1295,plain,
    ( ~ spl61_38
    | spl61_196 ),
    inference(avatar_split_clause,[],[f71,f1292,f490]) ).

fof(f490,plain,
    ( spl61_38
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_38])]) ).

fof(f71,axiom,
    ( c2_1(a449)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f1282,plain,
    ( spl61_193
    | spl61_46 ),
    inference(avatar_split_clause,[],[f235,f524,f1279]) ).

fof(f1277,plain,
    ( ~ spl61_32
    | ~ spl61_192 ),
    inference(avatar_split_clause,[],[f114,f1274,f465]) ).

fof(f465,plain,
    ( spl61_32
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_32])]) ).

fof(f114,axiom,
    ( ~ c0_1(a444)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f1272,plain,
    ( spl61_81
    | spl61_73 ),
    inference(avatar_split_clause,[],[f249,f641,f678]) ).

fof(f641,plain,
    ( spl61_73
  <=> sP22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_73])]) ).

fof(f249,plain,
    ! [X2] :
      ( sP22
      | c3_1(X2)
      | ~ c1_1(X2)
      | c0_1(X2) ),
    inference(cnf_transformation,[],[f249_D]) ).

fof(f249_D,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) )
  <=> ~ sP22 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP22])]) ).

fof(f1271,plain,
    ( ~ spl61_9
    | spl61_30
    | spl61_67
    | spl61_78 ),
    inference(avatar_split_clause,[],[f134,f665,f615,f456,f363]) ).

fof(f615,plain,
    ( spl61_67
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_67])]) ).

fof(f134,axiom,
    ! [X0] :
      ( c1_1(X0)
      | c0_1(X0)
      | hskp7
      | ~ c3_1(X0)
      | hskp6
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f1266,plain,
    ( spl61_168
    | spl61_14 ),
    inference(avatar_split_clause,[],[f315,f386,f1123]) ).

fof(f1123,plain,
    ( spl61_168
  <=> sP55 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_168])]) ).

fof(f315,plain,
    ! [X0] :
      ( c2_1(X0)
      | sP55
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f315_D]) ).

fof(f315_D,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
  <=> ~ sP55 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP55])]) ).

fof(f1264,plain,
    ( ~ spl61_20
    | ~ spl61_191 ),
    inference(avatar_split_clause,[],[f105,f1261,f409]) ).

fof(f409,plain,
    ( spl61_20
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_20])]) ).

fof(f105,axiom,
    ( ~ c1_1(a451)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f1258,plain,
    ( ~ spl61_187
    | ~ spl61_113
    | spl61_160
    | ~ spl61_9 ),
    inference(avatar_split_clause,[],[f262,f363,f1080,f836,f1232]) ).

fof(f1232,plain,
    ( spl61_187
  <=> sP28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_187])]) ).

fof(f836,plain,
    ( spl61_113
  <=> sP27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_113])]) ).

fof(f262,plain,
    ! [X1] :
      ( ~ ndr1_0
      | c1_1(X1)
      | c3_1(X1)
      | ~ sP27
      | c0_1(X1)
      | ~ sP28 ),
    inference(general_splitting,[],[f260,f261_D]) ).

fof(f261,plain,
    ! [X0] :
      ( sP28
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f261_D]) ).

fof(f261_D,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
  <=> ~ sP28 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP28])]) ).

fof(f260,plain,
    ! [X0,X1] :
      ( c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ sP27 ),
    inference(general_splitting,[],[f191,f259_D]) ).

fof(f259,plain,
    ! [X2] :
      ( sP27
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    inference(cnf_transformation,[],[f259_D]) ).

fof(f259_D,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | c2_1(X2) )
  <=> ~ sP27 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP27])]) ).

fof(f191,axiom,
    ! [X2,X0,X1] :
      ( c1_1(X1)
      | ~ ndr1_0
      | c2_1(X2)
      | ~ c3_1(X0)
      | c0_1(X1)
      | c1_1(X2)
      | c3_1(X1)
      | ~ c2_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).

fof(f1257,plain,
    ( spl61_83
    | spl61_152 ),
    inference(avatar_split_clause,[],[f263,f1034,f688]) ).

fof(f1034,plain,
    ( spl61_152
  <=> sP29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_152])]) ).

fof(f263,plain,
    ! [X0] :
      ( sP29
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    inference(cnf_transformation,[],[f263_D]) ).

fof(f263_D,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
  <=> ~ sP29 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP29])]) ).

fof(f1250,plain,
    ( spl61_9
    | ~ spl61_90 ),
    inference(avatar_split_clause,[],[f21,f718,f363]) ).

fof(f718,plain,
    ( spl61_90
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_90])]) ).

fof(f21,axiom,
    ( ~ hskp10
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).

fof(f1248,plain,
    ( spl61_57
    | spl61_33 ),
    inference(avatar_split_clause,[],[f237,f469,f571]) ).

fof(f571,plain,
    ( spl61_57
  <=> sP16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_57])]) ).

fof(f237,plain,
    ! [X0] :
      ( c0_1(X0)
      | ~ c2_1(X0)
      | sP16
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f237_D]) ).

fof(f237_D,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
  <=> ~ sP16 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP16])]) ).

fof(f1247,plain,
    ( ~ spl61_37
    | spl61_189 ),
    inference(avatar_split_clause,[],[f60,f1244,f485]) ).

fof(f485,plain,
    ( spl61_37
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_37])]) ).

fof(f60,axiom,
    ( c0_1(a463)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f1241,plain,
    ( ~ spl61_9
    | ~ spl61_137
    | spl61_52
    | spl61_38 ),
    inference(avatar_split_clause,[],[f208,f490,f550,f956,f363]) ).

fof(f956,plain,
    ( spl61_137
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_137])]) ).

fof(f208,plain,
    ! [X1] :
      ( hskp11
      | c2_1(X1)
      | ~ sP1
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1) ),
    inference(general_splitting,[],[f164,f207_D]) ).

fof(f207,plain,
    ! [X0] :
      ( c2_1(X0)
      | ~ c0_1(X0)
      | sP1
      | c1_1(X0) ),
    inference(cnf_transformation,[],[f207_D]) ).

fof(f207_D,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
  <=> ~ sP1 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f164,axiom,
    ! [X0,X1] :
      ( hskp11
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f1235,plain,
    ( spl61_46
    | spl61_187 ),
    inference(avatar_split_clause,[],[f261,f1232,f524]) ).

fof(f1226,plain,
    ( ~ spl61_67
    | ~ spl61_185 ),
    inference(avatar_split_clause,[],[f116,f1223,f615]) ).

fof(f116,axiom,
    ( ~ c1_1(a443)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f1216,plain,
    ( spl61_155
    | spl61_14 ),
    inference(avatar_split_clause,[],[f323,f386,f1051]) ).

fof(f1051,plain,
    ( spl61_155
  <=> sP59 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_155])]) ).

fof(f323,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | c2_1(X0)
      | sP59
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f323_D]) ).

fof(f323_D,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
  <=> ~ sP59 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP59])]) ).

fof(f1214,plain,
    ( ~ spl61_9
    | spl61_36
    | spl61_11
    | spl61_122 ),
    inference(avatar_split_clause,[],[f154,f882,f372,f481,f363]) ).

fof(f154,axiom,
    ! [X0] :
      ( hskp12
      | hskp3
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f1213,plain,
    ( ~ spl61_122
    | spl61_183 ),
    inference(avatar_split_clause,[],[f69,f1210,f882]) ).

fof(f69,axiom,
    ( c1_1(a450)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f1208,plain,
    ( spl61_32
    | ~ spl61_9
    | spl61_74
    | ~ spl61_182 ),
    inference(avatar_split_clause,[],[f212,f1205,f645,f363,f465]) ).

fof(f212,plain,
    ! [X1] :
      ( ~ sP3
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | hskp8 ),
    inference(general_splitting,[],[f181,f211_D]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | hskp8
      | ~ ndr1_0
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f1202,plain,
    ( spl61_55
    | spl61_89 ),
    inference(avatar_split_clause,[],[f285,f714,f563]) ).

fof(f563,plain,
    ( spl61_55
  <=> sP40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_55])]) ).

fof(f285,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0)
      | sP40 ),
    inference(cnf_transformation,[],[f285_D]) ).

fof(f285_D,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
  <=> ~ sP40 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP40])]) ).

fof(f1201,plain,
    ( ~ spl61_51
    | ~ spl61_181 ),
    inference(avatar_split_clause,[],[f104,f1198,f546]) ).

fof(f104,axiom,
    ( ~ c2_1(a452)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f1196,plain,
    ( spl61_70
    | spl61_135 ),
    inference(avatar_split_clause,[],[f277,f948,f629]) ).

fof(f629,plain,
    ( spl61_70
  <=> sP36 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_70])]) ).

fof(f277,plain,
    ! [X2] :
      ( c3_1(X2)
      | c1_1(X2)
      | ~ c0_1(X2)
      | sP36 ),
    inference(cnf_transformation,[],[f277_D]) ).

fof(f277_D,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c1_1(X2)
        | ~ c0_1(X2) )
  <=> ~ sP36 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP36])]) ).

fof(f1195,plain,
    ( ~ spl61_180
    | ~ spl61_47 ),
    inference(avatar_split_clause,[],[f111,f528,f1192]) ).

fof(f528,plain,
    ( spl61_47
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_47])]) ).

fof(f111,axiom,
    ( ~ hskp9
    | ~ c0_1(a445) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f1190,plain,
    ( spl61_11
    | spl61_63
    | spl61_122 ),
    inference(avatar_split_clause,[],[f36,f882,f596,f372]) ).

fof(f36,axiom,
    ( hskp12
    | hskp24
    | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f1189,plain,
    ( ~ spl61_9
    | ~ spl61_136
    | spl61_122
    | spl61_52 ),
    inference(avatar_split_clause,[],[f314,f550,f882,f951,f363]) ).

fof(f951,plain,
    ( spl61_136
  <=> sP54 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_136])]) ).

fof(f314,plain,
    ! [X1] :
      ( ~ c1_1(X1)
      | c0_1(X1)
      | c2_1(X1)
      | hskp12
      | ~ sP54
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f165,f313_D]) ).

fof(f313,plain,
    ! [X0] :
      ( sP54
      | ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X0) ),
    inference(cnf_transformation,[],[f313_D]) ).

fof(f313_D,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
  <=> ~ sP54 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP54])]) ).

fof(f165,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c0_1(X1)
      | hskp12
      | c1_1(X0)
      | ~ ndr1_0
      | c2_1(X1)
      | ~ c1_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f1188,plain,
    ( spl61_5
    | spl61_94
    | ~ spl61_9
    | spl61_1 ),
    inference(avatar_split_clause,[],[f138,f328,f363,f736,f345]) ).

fof(f138,axiom,
    ! [X0] :
      ( c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | c2_1(X0)
      | hskp16
      | hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f1187,plain,
    ( spl61_58
    | spl61_158 ),
    inference(avatar_split_clause,[],[f271,f1067,f575]) ).

fof(f1067,plain,
    ( spl61_158
  <=> sP33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_158])]) ).

fof(f271,plain,
    ! [X0] :
      ( sP33
      | ~ c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(cnf_transformation,[],[f271_D]) ).

fof(f271_D,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
  <=> ~ sP33 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP33])]) ).

fof(f1186,plain,
    ( spl61_20
    | spl61_51
    | spl61_12 ),
    inference(avatar_split_clause,[],[f33,f377,f546,f409]) ).

fof(f377,plain,
    ( spl61_12
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_12])]) ).

fof(f33,axiom,
    ( hskp19
    | hskp14
    | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

fof(f1172,plain,
    ( ~ spl61_12
    | ~ spl61_176 ),
    inference(avatar_split_clause,[],[f95,f1169,f377]) ).

fof(f95,axiom,
    ( ~ c1_1(a467)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f1162,plain,
    ( spl61_174
    | ~ spl61_133 ),
    inference(avatar_split_clause,[],[f47,f937,f1159]) ).

fof(f47,axiom,
    ( ~ hskp26
    | c1_1(a492) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f1157,plain,
    ( spl61_173
    | ~ spl61_122 ),
    inference(avatar_split_clause,[],[f70,f882,f1154]) ).

fof(f70,axiom,
    ( ~ hskp12
    | c3_1(a450) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f1145,plain,
    ( spl61_46
    | spl61_50
    | spl61_38
    | ~ spl61_9 ),
    inference(avatar_split_clause,[],[f156,f363,f490,f541,f524]) ).

fof(f541,plain,
    ( spl61_50
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_50])]) ).

fof(f156,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp11
      | hskp15
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f1144,plain,
    ( spl61_142
    | spl61_17 ),
    inference(avatar_split_clause,[],[f215,f398,f980]) ).

fof(f980,plain,
    ( spl61_142
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_142])]) ).

fof(f215,plain,
    ! [X2] :
      ( c1_1(X2)
      | c0_1(X2)
      | ~ c2_1(X2)
      | sP5 ),
    inference(cnf_transformation,[],[f215_D]) ).

fof(f215_D,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) )
  <=> ~ sP5 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).

fof(f1143,plain,
    ( ~ spl61_90
    | spl61_171 ),
    inference(avatar_split_clause,[],[f72,f1140,f718]) ).

fof(f72,axiom,
    ( c1_1(a448)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f1138,plain,
    ( spl61_3
    | spl61_90
    | spl61_32 ),
    inference(avatar_split_clause,[],[f37,f465,f718,f336]) ).

fof(f336,plain,
    ( spl61_3
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_3])]) ).

fof(f37,axiom,
    ( hskp8
    | hskp10
    | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f1131,plain,
    ( ~ spl61_50
    | ~ spl61_169 ),
    inference(avatar_split_clause,[],[f102,f1128,f541]) ).

fof(f102,axiom,
    ( ~ c0_1(a454)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f1126,plain,
    ( ~ spl61_168
    | ~ spl61_9
    | spl61_78 ),
    inference(avatar_split_clause,[],[f316,f665,f363,f1123]) ).

fof(f316,plain,
    ! [X1] :
      ( ~ c3_1(X1)
      | ~ ndr1_0
      | c0_1(X1)
      | ~ sP55
      | c1_1(X1) ),
    inference(general_splitting,[],[f163,f315_D]) ).

fof(f163,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f1121,plain,
    ( spl61_109
    | spl61_33 ),
    inference(avatar_split_clause,[],[f297,f469,f814]) ).

fof(f814,plain,
    ( spl61_109
  <=> sP46 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_109])]) ).

fof(f297,plain,
    ! [X0] :
      ( c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | sP46 ),
    inference(cnf_transformation,[],[f297_D]) ).

fof(f297_D,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
  <=> ~ sP46 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP46])]) ).

fof(f1120,plain,
    ( ~ spl61_156
    | ~ spl61_103
    | ~ spl61_9
    | spl61_35 ),
    inference(avatar_split_clause,[],[f276,f477,f363,f781,f1056]) ).

fof(f1056,plain,
    ( spl61_156
  <=> sP35 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_156])]) ).

fof(f781,plain,
    ( spl61_103
  <=> sP34 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_103])]) ).

fof(f276,plain,
    ! [X1] :
      ( ~ c3_1(X1)
      | ~ ndr1_0
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ sP34
      | ~ sP35 ),
    inference(general_splitting,[],[f274,f275_D]) ).

fof(f275,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | sP35
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f275_D]) ).

fof(f275_D,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
  <=> ~ sP35 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP35])]) ).

fof(f274,plain,
    ! [X0,X1] :
      ( c2_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ sP34 ),
    inference(general_splitting,[],[f198,f273_D]) ).

fof(f273,plain,
    ! [X2] :
      ( ~ c1_1(X2)
      | c3_1(X2)
      | c0_1(X2)
      | sP34 ),
    inference(cnf_transformation,[],[f273_D]) ).

fof(f273_D,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
  <=> ~ sP34 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP34])]) ).

fof(f198,axiom,
    ! [X2,X0,X1] :
      ( c2_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | c0_1(X2)
      | c3_1(X0)
      | c3_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).

fof(f1103,plain,
    ( ~ spl61_5
    | spl61_164 ),
    inference(avatar_split_clause,[],[f38,f1100,f345]) ).

fof(f38,axiom,
    ( c0_1(a456)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f1098,plain,
    ( spl61_1
    | spl61_97 ),
    inference(avatar_split_clause,[],[f225,f750,f328]) ).

fof(f750,plain,
    ( spl61_97
  <=> sP10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_97])]) ).

fof(f225,plain,
    ! [X2] :
      ( sP10
      | c0_1(X2)
      | c2_1(X2)
      | ~ c3_1(X2) ),
    inference(cnf_transformation,[],[f225_D]) ).

fof(f225_D,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | ~ c3_1(X2) )
  <=> ~ sP10 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP10])]) ).

fof(f1097,plain,
    ( ~ spl61_67
    | spl61_163 ),
    inference(avatar_split_clause,[],[f74,f1094,f615]) ).

fof(f74,axiom,
    ( c3_1(a443)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f1070,plain,
    ( spl61_31
    | ~ spl61_9
    | spl61_104
    | ~ spl61_158 ),
    inference(avatar_split_clause,[],[f272,f1067,f788,f363,f461]) ).

fof(f272,plain,
    ! [X1] :
      ( ~ sP33
      | c2_1(X1)
      | ~ ndr1_0
      | hskp0
      | c0_1(X1)
      | c1_1(X1) ),
    inference(general_splitting,[],[f158,f271_D]) ).

fof(f158,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c1_1(X1)
      | c0_1(X0)
      | c2_1(X1)
      | hskp0
      | c3_1(X0)
      | c0_1(X1)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f1065,plain,
    ( spl61_157
    | ~ spl61_24 ),
    inference(avatar_split_clause,[],[f81,f428,f1062]) ).

fof(f428,plain,
    ( spl61_24
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_24])]) ).

fof(f81,axiom,
    ( ~ hskp2
    | c0_1(a434) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f1059,plain,
    ( spl61_156
    | spl61_89 ),
    inference(avatar_split_clause,[],[f275,f714,f1056]) ).

fof(f1054,plain,
    ( spl61_111
    | spl61_62
    | ~ spl61_9
    | ~ spl61_155 ),
    inference(avatar_split_clause,[],[f324,f1051,f363,f593,f824]) ).

fof(f324,plain,
    ! [X1] :
      ( ~ sP59
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | hskp23
      | c1_1(X1) ),
    inference(general_splitting,[],[f185,f323_D]) ).

fof(f185,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c2_1(X1)
      | c1_1(X1)
      | ~ c3_1(X0)
      | hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

fof(f1049,plain,
    ( spl61_84
    | spl61_16
    | spl61_12
    | ~ spl61_9 ),
    inference(avatar_split_clause,[],[f151,f363,f377,f394,f692]) ).

fof(f151,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp19
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0)
      | hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f1048,plain,
    ( ~ spl61_111
    | ~ spl61_154 ),
    inference(avatar_split_clause,[],[f90,f1045,f824]) ).

fof(f90,axiom,
    ( ~ c3_1(a484)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f1043,plain,
    ( ~ spl61_94
    | ~ spl61_153 ),
    inference(avatar_split_clause,[],[f101,f1040,f736]) ).

fof(f101,axiom,
    ( ~ c2_1(a457)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f1038,plain,
    ( spl61_82
    | spl61_36 ),
    inference(avatar_split_clause,[],[f241,f481,f684]) ).

fof(f684,plain,
    ( spl61_82
  <=> sP18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_82])]) ).

fof(f241,plain,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | sP18 ),
    inference(cnf_transformation,[],[f241_D]) ).

fof(f241_D,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
  <=> ~ sP18 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP18])]) ).

fof(f1037,plain,
    ( spl61_11
    | ~ spl61_9
    | spl61_135
    | ~ spl61_152 ),
    inference(avatar_split_clause,[],[f264,f1034,f948,f363,f372]) ).

fof(f264,plain,
    ! [X1] :
      ( ~ sP29
      | c3_1(X1)
      | ~ ndr1_0
      | c1_1(X1)
      | hskp3
      | ~ c0_1(X1) ),
    inference(general_splitting,[],[f176,f263_D]) ).

fof(f176,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c0_1(X1)
      | c1_1(X1)
      | hskp3
      | ~ ndr1_0
      | c3_1(X1)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f1026,plain,
    ( ~ spl61_32
    | ~ spl61_150 ),
    inference(avatar_split_clause,[],[f115,f1023,f465]) ).

fof(f115,axiom,
    ( ~ c3_1(a444)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f1021,plain,
    ( spl61_3
    | spl61_33
    | ~ spl61_9
    | ~ spl61_149 ),
    inference(avatar_split_clause,[],[f320,f1018,f363,f469,f336]) ).

fof(f320,plain,
    ! [X1] :
      ( ~ sP57
      | ~ ndr1_0
      | ~ c3_1(X1)
      | hskp1
      | c0_1(X1)
      | ~ c2_1(X1) ),
    inference(general_splitting,[],[f184,f319_D]) ).

fof(f184,axiom,
    ! [X0,X1] :
      ( hskp1
      | ~ c2_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f1016,plain,
    ( spl61_84
    | ~ spl61_9
    | spl61_99
    | ~ spl61_148 ),
    inference(avatar_split_clause,[],[f304,f1013,f760,f363,f692]) ).

fof(f304,plain,
    ! [X1] :
      ( ~ sP49
      | ~ c0_1(X1)
      | ~ ndr1_0
      | hskp28
      | c1_1(X1)
      | c2_1(X1) ),
    inference(general_splitting,[],[f168,f303_D]) ).

fof(f168,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X1)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp28
      | ~ c3_1(X0)
      | c2_1(X1)
      | c1_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f1011,plain,
    ( spl61_147
    | spl61_17 ),
    inference(avatar_split_clause,[],[f233,f398,f1008]) ).

fof(f1006,plain,
    ( ~ spl61_37
    | spl61_146 ),
    inference(avatar_split_clause,[],[f61,f1003,f485]) ).

fof(f61,axiom,
    ( c2_1(a463)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f1001,plain,
    ( ~ spl61_145
    | ~ spl61_47 ),
    inference(avatar_split_clause,[],[f112,f528,f998]) ).

fof(f112,axiom,
    ( ~ hskp9
    | ~ c1_1(a445) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f995,plain,
    ( spl61_72
    | spl61_119 ),
    inference(avatar_split_clause,[],[f251,f867,f637]) ).

fof(f637,plain,
    ( spl61_72
  <=> sP23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_72])]) ).

fof(f251,plain,
    ! [X0] :
      ( c1_1(X0)
      | sP23
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f251_D]) ).

fof(f251_D,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
  <=> ~ sP23 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP23])]) ).

fof(f993,plain,
    ( spl61_144
    | ~ spl61_11 ),
    inference(avatar_split_clause,[],[f80,f372,f990]) ).

fof(f80,axiom,
    ( ~ hskp3
    | c1_1(a435) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f988,plain,
    ( ~ spl61_38
    | ~ spl61_143 ),
    inference(avatar_split_clause,[],[f108,f985,f490]) ).

fof(f108,axiom,
    ( ~ c3_1(a449)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f983,plain,
    ( ~ spl61_9
    | ~ spl61_142
    | spl61_43
    | ~ spl61_77 ),
    inference(avatar_split_clause,[],[f218,f660,f512,f980,f363]) ).

fof(f660,plain,
    ( spl61_77
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_77])]) ).

fof(f218,plain,
    ! [X1] :
      ( ~ sP6
      | ~ c3_1(X1)
      | ~ sP5
      | ~ ndr1_0
      | c0_1(X1)
      | ~ c1_1(X1) ),
    inference(general_splitting,[],[f216,f217_D]) ).

fof(f217,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c1_1(X0)
      | sP6
      | c3_1(X0) ),
    inference(cnf_transformation,[],[f217_D]) ).

fof(f217_D,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
  <=> ~ sP6 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP6])]) ).

fof(f216,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ sP5 ),
    inference(general_splitting,[],[f196,f215_D]) ).

fof(f196,axiom,
    ! [X2,X0,X1] :
      ( c1_1(X2)
      | c0_1(X2)
      | ~ c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).

fof(f978,plain,
    ( ~ spl61_37
    | ~ spl61_141 ),
    inference(avatar_split_clause,[],[f100,f975,f485]) ).

fof(f100,axiom,
    ( ~ c1_1(a463)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f959,plain,
    ( spl61_137
    | spl61_99 ),
    inference(avatar_split_clause,[],[f207,f760,f956]) ).

fof(f954,plain,
    ( spl61_135
    | spl61_136 ),
    inference(avatar_split_clause,[],[f313,f951,f948]) ).

fof(f940,plain,
    ( spl61_5
    | ~ spl61_9
    | spl61_35
    | spl61_133 ),
    inference(avatar_split_clause,[],[f149,f937,f477,f363,f345]) ).

fof(f149,axiom,
    ! [X0] :
      ( hskp26
      | ~ c1_1(X0)
      | ~ ndr1_0
      | hskp30
      | c2_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f935,plain,
    ( ~ spl61_63
    | spl61_132 ),
    inference(avatar_split_clause,[],[f52,f932,f596]) ).

fof(f52,axiom,
    ( c2_1(a486)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f930,plain,
    ( spl61_61
    | spl61_131 ),
    inference(avatar_split_clause,[],[f307,f928,f589]) ).

fof(f589,plain,
    ( spl61_61
  <=> sP51 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_61])]) ).

fof(f307,plain,
    ! [X0] :
      ( c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0)
      | sP51 ),
    inference(cnf_transformation,[],[f307_D]) ).

fof(f307_D,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
  <=> ~ sP51 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP51])]) ).

fof(f925,plain,
    ( spl61_130
    | ~ spl61_32 ),
    inference(avatar_split_clause,[],[f73,f465,f922]) ).

fof(f73,axiom,
    ( ~ hskp8
    | c2_1(a444) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f910,plain,
    ( spl61_127
    | ~ spl61_84 ),
    inference(avatar_split_clause,[],[f46,f692,f907]) ).

fof(f46,axiom,
    ( ~ hskp28
    | c3_1(a437) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f905,plain,
    ( ~ spl61_126
    | ~ spl61_3 ),
    inference(avatar_split_clause,[],[f127,f336,f902]) ).

fof(f127,axiom,
    ( ~ hskp1
    | ~ c1_1(a433) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f880,plain,
    ( ~ spl61_111
    | ~ spl61_121 ),
    inference(avatar_split_clause,[],[f89,f877,f824]) ).

fof(f89,axiom,
    ( ~ c2_1(a484)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f874,plain,
    ( ~ spl61_120
    | ~ spl61_3 ),
    inference(avatar_split_clause,[],[f126,f336,f871]) ).

fof(f126,axiom,
    ( ~ hskp1
    | ~ c0_1(a433) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f869,plain,
    ( ~ spl61_9
    | spl61_67
    | spl61_119
    | spl61_111 ),
    inference(avatar_split_clause,[],[f143,f824,f867,f615,f363]) ).

fof(f143,axiom,
    ! [X0] :
      ( hskp23
      | c3_1(X0)
      | ~ c2_1(X0)
      | hskp7
      | c1_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f865,plain,
    ( spl61_118
    | ~ spl61_94 ),
    inference(avatar_split_clause,[],[f62,f736,f862]) ).

fof(f62,axiom,
    ( ~ hskp16
    | c1_1(a457) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f860,plain,
    ( ~ spl61_10
    | spl61_117 ),
    inference(avatar_split_clause,[],[f42,f857,f367]) ).

fof(f42,axiom,
    ( c2_1(a447)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f855,plain,
    ( ~ spl61_11
    | ~ spl61_116 ),
    inference(avatar_split_clause,[],[f122,f852,f372]) ).

fof(f122,axiom,
    ( ~ c0_1(a435)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f850,plain,
    ( spl61_115
    | ~ spl61_51 ),
    inference(avatar_split_clause,[],[f66,f546,f847]) ).

fof(f66,axiom,
    ( ~ hskp14
    | c1_1(a452) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f839,plain,
    ( spl61_104
    | spl61_113 ),
    inference(avatar_split_clause,[],[f259,f836,f788]) ).

fof(f833,plain,
    ( ~ spl61_112
    | ~ spl61_11 ),
    inference(avatar_split_clause,[],[f123,f372,f830]) ).

fof(f123,axiom,
    ( ~ hskp3
    | ~ c3_1(a435) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f827,plain,
    ( spl61_90
    | spl61_111
    | spl61_37 ),
    inference(avatar_split_clause,[],[f34,f485,f824,f718]) ).

fof(f34,axiom,
    ( hskp17
    | hskp23
    | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f822,plain,
    ( ~ spl61_110
    | ~ spl61_63 ),
    inference(avatar_split_clause,[],[f88,f596,f819]) ).

fof(f88,axiom,
    ( ~ hskp24
    | ~ c0_1(a486) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f817,plain,
    ( ~ spl61_9
    | spl61_51
    | spl61_58
    | ~ spl61_109 ),
    inference(avatar_split_clause,[],[f298,f814,f575,f546,f363]) ).

fof(f298,plain,
    ! [X1] :
      ( ~ sP46
      | c0_1(X1)
      | c3_1(X1)
      | ~ c2_1(X1)
      | hskp14
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f172,f297_D]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ c2_1(X1)
      | c0_1(X0)
      | hskp14
      | c3_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f812,plain,
    ( spl61_36
    | ~ spl61_9
    | spl61_63
    | spl61_32 ),
    inference(avatar_split_clause,[],[f152,f465,f596,f363,f481]) ).

fof(f152,axiom,
    ! [X0] :
      ( hskp8
      | hskp24
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f811,plain,
    ( ~ spl61_44
    | ~ spl61_9
    | spl61_90
    | spl61_19 ),
    inference(avatar_split_clause,[],[f244,f406,f718,f363,f516]) ).

fof(f516,plain,
    ( spl61_44
  <=> sP19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_44])]) ).

fof(f244,plain,
    ! [X1] :
      ( ~ c3_1(X1)
      | c1_1(X1)
      | hskp10
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ sP19 ),
    inference(general_splitting,[],[f178,f243_D]) ).

fof(f243,plain,
    ! [X0] :
      ( c3_1(X0)
      | ~ c0_1(X0)
      | sP19
      | c2_1(X0) ),
    inference(cnf_transformation,[],[f243_D]) ).

fof(f243_D,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
  <=> ~ sP19 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP19])]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | hskp10
      | c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f805,plain,
    ( ~ spl61_9
    | spl61_52
    | spl61_50
    | spl61_47 ),
    inference(avatar_split_clause,[],[f137,f528,f541,f550,f363]) ).

fof(f137,axiom,
    ! [X0] :
      ( hskp9
      | hskp15
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f804,plain,
    ( ~ spl61_107
    | ~ spl61_90 ),
    inference(avatar_split_clause,[],[f109,f718,f801]) ).

fof(f109,axiom,
    ( ~ hskp10
    | ~ c0_1(a448) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f784,plain,
    ( spl61_103
    | spl61_81 ),
    inference(avatar_split_clause,[],[f273,f678,f781]) ).

fof(f779,plain,
    ( ~ spl61_9
    | spl61_37
    | ~ spl61_102
    | spl61_58 ),
    inference(avatar_split_clause,[],[f270,f575,f776,f485,f363]) ).

fof(f270,plain,
    ! [X1] :
      ( ~ c2_1(X1)
      | ~ sP32
      | hskp17
      | c0_1(X1)
      | ~ ndr1_0
      | c3_1(X1) ),
    inference(general_splitting,[],[f174,f269_D]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | hskp17
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f774,plain,
    ( ~ spl61_31
    | ~ spl61_101 ),
    inference(avatar_split_clause,[],[f129,f771,f461]) ).

fof(f129,axiom,
    ( ~ c0_1(a432)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f769,plain,
    ( ~ spl61_100
    | ~ spl61_50 ),
    inference(avatar_split_clause,[],[f103,f541,f766]) ).

fof(f103,axiom,
    ( ~ hskp15
    | ~ c1_1(a454) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f763,plain,
    ( ~ spl61_9
    | spl61_12
    | spl61_58
    | spl61_3 ),
    inference(avatar_split_clause,[],[f141,f336,f575,f377,f363]) ).

fof(f141,axiom,
    ! [X0] :
      ( hskp1
      | c0_1(X0)
      | hskp19
      | ~ ndr1_0
      | ~ c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f753,plain,
    ( ~ spl61_9
    | ~ spl61_96
    | ~ spl61_97
    | spl61_81 ),
    inference(avatar_split_clause,[],[f228,f678,f750,f746,f363]) ).

fof(f228,plain,
    ! [X1] :
      ( ~ c1_1(X1)
      | ~ sP10
      | ~ sP11
      | c0_1(X1)
      | ~ ndr1_0
      | c3_1(X1) ),
    inference(general_splitting,[],[f226,f227_D]) ).

fof(f226,plain,
    ! [X0,X1] :
      ( c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ sP10 ),
    inference(general_splitting,[],[f192,f225_D]) ).

fof(f192,axiom,
    ! [X2,X0,X1] :
      ( c3_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X0)
      | c0_1(X2)
      | ~ c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | c2_1(X2)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).

fof(f739,plain,
    ( ~ spl61_9
    | spl61_83
    | spl61_10
    | spl61_94 ),
    inference(avatar_split_clause,[],[f148,f736,f367,f688,f363]) ).

fof(f148,axiom,
    ! [X0] :
      ( hskp16
      | hskp29
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f725,plain,
    ( ~ spl61_90
    | ~ spl61_91 ),
    inference(avatar_split_clause,[],[f110,f722,f718]) ).

fof(f110,axiom,
    ( ~ c2_1(a448)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f699,plain,
    ( ~ spl61_84
    | spl61_85 ),
    inference(avatar_split_clause,[],[f44,f696,f692]) ).

fof(f44,axiom,
    ( c0_1(a437)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f690,plain,
    ( ~ spl61_9
    | ~ spl61_82
    | spl61_83
    | ~ spl61_80 ),
    inference(avatar_split_clause,[],[f242,f674,f688,f684,f363]) ).

fof(f674,plain,
    ( spl61_80
  <=> sP17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_80])]) ).

fof(f242,plain,
    ! [X1] :
      ( ~ sP17
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ sP18
      | ~ ndr1_0
      | c2_1(X1) ),
    inference(general_splitting,[],[f240,f241_D]) ).

fof(f240,plain,
    ! [X0,X1] :
      ( ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ sP17 ),
    inference(general_splitting,[],[f201,f239_D]) ).

fof(f239,plain,
    ! [X2] :
      ( ~ c1_1(X2)
      | c3_1(X2)
      | sP17
      | c0_1(X2) ),
    inference(cnf_transformation,[],[f239_D]) ).

fof(f239_D,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
  <=> ~ sP17 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP17])]) ).

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

fof(f680,plain,
    ( spl61_80
    | spl61_81 ),
    inference(avatar_split_clause,[],[f239,f678,f674]) ).

fof(f672,plain,
    ( spl61_79
    | ~ spl61_63 ),
    inference(avatar_split_clause,[],[f51,f596,f669]) ).

fof(f51,axiom,
    ( ~ hskp24
    | c1_1(a486) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f667,plain,
    ( spl61_32
    | spl61_47
    | spl61_78
    | ~ spl61_9 ),
    inference(avatar_split_clause,[],[f135,f363,f665,f528,f465]) ).

fof(f135,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | c1_1(X0)
      | c0_1(X0)
      | hskp9
      | hskp8
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f663,plain,
    ( spl61_77
    | spl61_16 ),
    inference(avatar_split_clause,[],[f217,f394,f660]) ).

fof(f658,plain,
    ( spl61_54
    | spl61_58 ),
    inference(avatar_split_clause,[],[f283,f575,f559]) ).

fof(f559,plain,
    ( spl61_54
  <=> sP39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_54])]) ).

fof(f283,plain,
    ! [X2] :
      ( c3_1(X2)
      | c0_1(X2)
      | sP39
      | ~ c2_1(X2) ),
    inference(cnf_transformation,[],[f283_D]) ).

fof(f283_D,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) )
  <=> ~ sP39 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP39])]) ).

fof(f657,plain,
    ( ~ spl61_5
    | spl61_76 ),
    inference(avatar_split_clause,[],[f40,f654,f345]) ).

fof(f40,axiom,
    ( c2_1(a456)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f647,plain,
    ( ~ spl61_9
    | ~ spl61_72
    | ~ spl61_73
    | spl61_74 ),
    inference(avatar_split_clause,[],[f252,f645,f641,f637,f363]) ).

fof(f252,plain,
    ! [X1] :
      ( c0_1(X1)
      | ~ sP22
      | ~ sP23
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f250,f251_D]) ).

fof(f250,plain,
    ! [X0,X1] :
      ( c0_1(X1)
      | c3_1(X0)
      | ~ c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ sP22 ),
    inference(general_splitting,[],[f194,f249_D]) ).

fof(f194,axiom,
    ! [X2,X0,X1] :
      ( c0_1(X1)
      | c3_1(X0)
      | ~ c1_1(X1)
      | c0_1(X2)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | c3_1(X2)
      | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).

fof(f635,plain,
    ( ~ spl61_69
    | ~ spl61_9
    | ~ spl61_70
    | spl61_71 ),
    inference(avatar_split_clause,[],[f280,f633,f629,f363,f625]) ).

fof(f280,plain,
    ! [X1] :
      ( ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ sP36
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ sP37 ),
    inference(general_splitting,[],[f278,f279_D]) ).

fof(f278,plain,
    ! [X0,X1] :
      ( ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ sP36 ),
    inference(general_splitting,[],[f204,f277_D]) ).

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

fof(f623,plain,
    ( spl61_68
    | spl61_19 ),
    inference(avatar_split_clause,[],[f311,f406,f620]) ).

fof(f618,plain,
    ( ~ spl61_66
    | ~ spl61_67 ),
    inference(avatar_split_clause,[],[f117,f615,f611]) ).

fof(f117,axiom,
    ( ~ hskp7
    | ~ c2_1(a443) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f599,plain,
    ( ~ spl61_61
    | ~ spl61_9
    | spl61_62
    | spl61_63 ),
    inference(avatar_split_clause,[],[f308,f596,f593,f363,f589]) ).

fof(f308,plain,
    ! [X1] :
      ( hskp24
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ sP51 ),
    inference(general_splitting,[],[f177,f307_D]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( hskp24
      | c3_1(X0)
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f577,plain,
    ( spl61_20
    | ~ spl61_57
    | spl61_58
    | ~ spl61_9 ),
    inference(avatar_split_clause,[],[f238,f363,f575,f571,f409]) ).

fof(f238,plain,
    ! [X1] :
      ( ~ ndr1_0
      | c0_1(X1)
      | ~ sP16
      | hskp13
      | c3_1(X1)
      | ~ c2_1(X1) ),
    inference(general_splitting,[],[f173,f237_D]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp13
      | c3_1(X1)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f569,plain,
    ( ~ spl61_9
    | ~ spl61_54
    | ~ spl61_55
    | spl61_56 ),
    inference(avatar_split_clause,[],[f286,f567,f563,f559,f363]) ).

fof(f286,plain,
    ! [X1] :
      ( c2_1(X1)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ sP40
      | ~ sP39
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f284,f285_D]) ).

fof(f284,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | c2_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ sP39 ),
    inference(general_splitting,[],[f195,f283_D]) ).

fof(f195,axiom,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | c3_1(X2)
      | ~ c1_1(X0)
      | c2_1(X1)
      | c3_1(X0)
      | c0_1(X2)
      | ~ c2_1(X2)
      | ~ c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).

fof(f557,plain,
    ( ~ spl61_24
    | ~ spl61_53 ),
    inference(avatar_split_clause,[],[f125,f554,f428]) ).

fof(f125,axiom,
    ( ~ c3_1(a434)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f552,plain,
    ( spl61_51
    | ~ spl61_9
    | spl61_24
    | spl61_52 ),
    inference(avatar_split_clause,[],[f136,f550,f428,f363,f546]) ).

fof(f136,axiom,
    ! [X0] :
      ( c0_1(X0)
      | ~ c1_1(X0)
      | hskp2
      | ~ ndr1_0
      | hskp14
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f544,plain,
    ( spl61_49
    | ~ spl61_50 ),
    inference(avatar_split_clause,[],[f64,f541,f537]) ).

fof(f64,axiom,
    ( ~ hskp15
    | c3_1(a454) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f535,plain,
    ( ~ spl61_47
    | ~ spl61_48 ),
    inference(avatar_split_clause,[],[f113,f532,f528]) ).

fof(f113,axiom,
    ( ~ c3_1(a445)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f526,plain,
    ( spl61_31
    | ~ spl61_9
    | spl61_46
    | spl61_10 ),
    inference(avatar_split_clause,[],[f155,f367,f524,f363,f461]) ).

fof(f155,axiom,
    ! [X0] :
      ( hskp29
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f522,plain,
    ( spl61_44
    | spl61_45 ),
    inference(avatar_split_clause,[],[f243,f520,f516]) ).

fof(f497,plain,
    ( ~ spl61_38
    | ~ spl61_39 ),
    inference(avatar_split_clause,[],[f107,f494,f490]) ).

fof(f107,axiom,
    ( ~ c1_1(a449)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f488,plain,
    ( spl61_9
    | ~ spl61_37 ),
    inference(avatar_split_clause,[],[f14,f485,f363]) ).

fof(f14,axiom,
    ( ~ hskp17
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).

fof(f471,plain,
    ( spl61_31
    | spl61_32
    | ~ spl61_9
    | spl61_33 ),
    inference(avatar_split_clause,[],[f145,f469,f363,f465,f461]) ).

fof(f145,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | hskp8
      | c0_1(X0)
      | ~ c3_1(X0)
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f459,plain,
    ( spl61_29
    | ~ spl61_30 ),
    inference(avatar_split_clause,[],[f76,f456,f452]) ).

fof(f76,axiom,
    ( ~ hskp6
    | c2_1(a442) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f441,plain,
    ( ~ spl61_26
    | ~ spl61_12 ),
    inference(avatar_split_clause,[],[f96,f377,f438]) ).

fof(f96,axiom,
    ( ~ hskp19
    | ~ c2_1(a467) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f436,plain,
    ( ~ spl61_20
    | spl61_25 ),
    inference(avatar_split_clause,[],[f68,f433,f409]) ).

fof(f68,axiom,
    ( c3_1(a451)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f431,plain,
    ( ~ spl61_23
    | ~ spl61_24 ),
    inference(avatar_split_clause,[],[f124,f428,f424]) ).

fof(f124,axiom,
    ( ~ hskp2
    | ~ c1_1(a434) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f422,plain,
    ( ~ spl61_20
    | spl61_22 ),
    inference(avatar_split_clause,[],[f67,f419,f409]) ).

fof(f67,axiom,
    ( c2_1(a451)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f417,plain,
    ( spl61_21
    | ~ spl61_12 ),
    inference(avatar_split_clause,[],[f59,f377,f414]) ).

fof(f59,axiom,
    ( ~ hskp19
    | c0_1(a467) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f352,plain,
    ( ~ spl61_5
    | spl61_6 ),
    inference(avatar_split_clause,[],[f39,f349,f345]) ).

fof(f39,axiom,
    ( c1_1(a456)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f343,plain,
    ( ~ spl61_3
    | ~ spl61_4 ),
    inference(avatar_split_clause,[],[f128,f340,f336]) ).

fof(f128,axiom,
    ( ~ c2_1(a433)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYN509-1 : TPTP v8.1.0. Released v2.1.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n003.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 22:02:23 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.49  % (13066)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)
% 0.20/0.51  % (13075)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51  % (13066)Refutation not found, incomplete strategy% (13066)------------------------------
% 0.20/0.51  % (13066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (13083)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51  % (13070)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  % (13080)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)
% 0.20/0.52  % (13088)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)
% 0.20/0.52  % (13065)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)
% 0.20/0.52  % (13093)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52  % (13072)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (13087)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.53  % (13069)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  % (13085)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)
% 0.20/0.53  % (13068)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)
% 0.20/0.53  % (13071)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (13091)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)
% 0.20/0.53  % (13092)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.53  % (13073)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53  % (13066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (13066)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (13066)Memory used [KB]: 6140
% 0.20/0.53  % (13066)Time elapsed: 0.105 s
% 0.20/0.53  % (13066)Instructions burned: 12 (million)
% 0.20/0.53  % (13066)------------------------------
% 0.20/0.53  % (13066)------------------------------
% 0.20/0.53  % (13067)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)
% 0.20/0.53  % (13073)Instruction limit reached!
% 0.20/0.53  % (13073)------------------------------
% 0.20/0.53  % (13073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (13073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (13073)Termination reason: Unknown
% 0.20/0.53  % (13073)Termination phase: Blocked clause elimination
% 0.20/0.53  
% 0.20/0.53  % (13073)Memory used [KB]: 1151
% 0.20/0.53  % (13073)Time elapsed: 0.003 s
% 0.20/0.53  % (13073)Instructions burned: 2 (million)
% 0.20/0.53  % (13073)------------------------------
% 0.20/0.53  % (13073)------------------------------
% 0.20/0.53  % (13078)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  % (13077)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54  % (13079)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54  % (13082)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54  % (13086)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54  % (13072)Instruction limit reached!
% 0.20/0.54  % (13072)------------------------------
% 0.20/0.54  % (13072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (13072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (13072)Termination reason: Unknown
% 0.20/0.54  % (13072)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (13072)Memory used [KB]: 6012
% 0.20/0.54  % (13072)Time elapsed: 0.087 s
% 0.20/0.54  % (13072)Instructions burned: 7 (million)
% 0.20/0.54  % (13072)------------------------------
% 0.20/0.54  % (13072)------------------------------
% 0.20/0.54  % (13090)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54  % (13089)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  % (13076)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)
% 0.20/0.54  % (13094)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  Detected maximum model sizes of [31]
% 0.20/0.54  TRYING [1]
% 0.20/0.54  TRYING [2]
% 0.20/0.54  % (13084)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)
% 0.20/0.55  % (13074)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  Detected maximum model sizes of [31]
% 0.20/0.55  TRYING [3]
% 0.20/0.56  % (13081)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.56  TRYING [4]
% 0.20/0.56  TRYING [1]
% 0.20/0.57  Detected maximum model sizes of [31]
% 0.20/0.57  TRYING [2]
% 0.20/0.57  TRYING [3]
% 0.20/0.57  % (13075)First to succeed.
% 0.20/0.57  TRYING [1]
% 0.20/0.57  TRYING [2]
% 0.20/0.57  TRYING [3]
% 0.20/0.58  TRYING [4]
% 0.20/0.58  TRYING [4]
% 0.20/0.59  % (13068)Also succeeded, but the first one will report.
% 0.20/0.59  % (13075)Refutation found. Thanks to Tanya!
% 0.20/0.59  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.60  % (13075)------------------------------
% 0.20/0.60  % (13075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (13075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (13075)Termination reason: Refutation
% 0.20/0.60  
% 0.20/0.60  % (13075)Memory used [KB]: 7036
% 0.20/0.60  % (13075)Time elapsed: 0.164 s
% 0.20/0.60  % (13075)Instructions burned: 49 (million)
% 0.20/0.60  % (13075)------------------------------
% 0.20/0.60  % (13075)------------------------------
% 0.20/0.60  % (13064)Success in time 0.239 s
%------------------------------------------------------------------------------