TSTP Solution File: SYN443-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN443-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:38:01 EDT 2022

% Result   : Unsatisfiable 1.88s 0.62s
% Output   : Refutation 1.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  280
% Syntax   : Number of formulae    :  616 (   1 unt;   0 def)
%            Number of atoms       : 1929 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2307 ( 994   ~;1135   |;   0   &)
%                                         ( 178 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  208 ( 207 usr; 204 prp; 0-1 aty)
%            Number of functors    :   24 (  24 usr;  24 con; 0-0 aty)
%            Number of variables   :  170 ( 170   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2061,plain,
    $false,
    inference(avatar_sat_refutation,[],[f263,f288,f297,f306,f319,f332,f347,f382,f390,f398,f407,f424,f441,f446,f468,f477,f482,f494,f500,f509,f520,f553,f574,f593,f599,f604,f609,f619,f620,f624,f632,f637,f642,f650,f659,f668,f677,f682,f702,f707,f712,f717,f735,f740,f749,f754,f760,f774,f779,f785,f786,f796,f801,f806,f821,f830,f837,f838,f847,f852,f857,f860,f868,f873,f879,f884,f889,f891,f897,f905,f908,f909,f914,f915,f930,f935,f943,f951,f957,f962,f967,f973,f978,f983,f985,f991,f996,f1001,f1019,f1028,f1029,f1034,f1039,f1049,f1059,f1064,f1069,f1074,f1085,f1086,f1092,f1098,f1101,f1103,f1108,f1113,f1124,f1126,f1131,f1137,f1139,f1155,f1157,f1158,f1159,f1162,f1167,f1172,f1177,f1178,f1184,f1185,f1186,f1191,f1196,f1231,f1236,f1246,f1254,f1255,f1262,f1267,f1274,f1279,f1284,f1321,f1327,f1330,f1390,f1405,f1407,f1432,f1445,f1460,f1461,f1462,f1509,f1527,f1535,f1560,f1561,f1563,f1628,f1629,f1630,f1666,f1681,f1682,f1683,f1713,f1714,f1715,f1749,f1750,f1762,f1768,f1798,f1799,f1854,f1909,f1924,f1947,f1997,f1998,f2010,f2016,f2033,f2060]) ).

fof(f2060,plain,
    ( ~ spl35_189
    | spl35_34
    | ~ spl35_41
    | spl35_204 ),
    inference(avatar_split_clause,[],[f2048,f1415,f430,f400,f1193]) ).

fof(f1193,plain,
    ( spl35_189
  <=> c0_1(a27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_189])]) ).

fof(f400,plain,
    ( spl35_34
  <=> c2_1(a27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_34])]) ).

fof(f430,plain,
    ( spl35_41
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_41])]) ).

fof(f1415,plain,
    ( spl35_204
  <=> c3_1(a27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_204])]) ).

fof(f2048,plain,
    ( c2_1(a27)
    | ~ c0_1(a27)
    | ~ spl35_41
    | spl35_204 ),
    inference(resolution,[],[f431,f1416]) ).

fof(f1416,plain,
    ( ~ c3_1(a27)
    | spl35_204 ),
    inference(avatar_component_clause,[],[f1415]) ).

fof(f431,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl35_41 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f2033,plain,
    ( spl35_185
    | spl35_149
    | ~ spl35_18
    | ~ spl35_101 ),
    inference(avatar_split_clause,[],[f2025,f709,f330,f964,f1169]) ).

fof(f1169,plain,
    ( spl35_185
  <=> c3_1(a12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_185])]) ).

fof(f964,plain,
    ( spl35_149
  <=> c2_1(a12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_149])]) ).

fof(f330,plain,
    ( spl35_18
  <=> ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_18])]) ).

fof(f709,plain,
    ( spl35_101
  <=> c1_1(a12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_101])]) ).

fof(f2025,plain,
    ( c2_1(a12)
    | c3_1(a12)
    | ~ spl35_18
    | ~ spl35_101 ),
    inference(resolution,[],[f331,f711]) ).

fof(f711,plain,
    ( c1_1(a12)
    | ~ spl35_101 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f331,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl35_18 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f2016,plain,
    ( ~ spl35_138
    | spl35_201
    | ~ spl35_83
    | spl35_120 ),
    inference(avatar_split_clause,[],[f2015,f803,f626,f1323,f911]) ).

fof(f911,plain,
    ( spl35_138
  <=> c3_1(a4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_138])]) ).

fof(f1323,plain,
    ( spl35_201
  <=> c2_1(a4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_201])]) ).

fof(f626,plain,
    ( spl35_83
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_83])]) ).

fof(f803,plain,
    ( spl35_120
  <=> c1_1(a4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_120])]) ).

fof(f2015,plain,
    ( c2_1(a4)
    | ~ c3_1(a4)
    | ~ spl35_83
    | spl35_120 ),
    inference(resolution,[],[f805,f627]) ).

fof(f627,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl35_83 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f805,plain,
    ( ~ c1_1(a4)
    | spl35_120 ),
    inference(avatar_component_clause,[],[f803]) ).

fof(f2010,plain,
    ( spl35_212
    | ~ spl35_179
    | ~ spl35_83
    | spl35_176 ),
    inference(avatar_split_clause,[],[f2002,f1110,f626,f1128,f1944]) ).

fof(f1944,plain,
    ( spl35_212
  <=> c2_1(a58) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_212])]) ).

fof(f1128,plain,
    ( spl35_179
  <=> c3_1(a58) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_179])]) ).

fof(f1110,plain,
    ( spl35_176
  <=> c1_1(a58) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_176])]) ).

fof(f2002,plain,
    ( ~ c3_1(a58)
    | c2_1(a58)
    | ~ spl35_83
    | spl35_176 ),
    inference(resolution,[],[f627,f1112]) ).

fof(f1112,plain,
    ( ~ c1_1(a58)
    | spl35_176 ),
    inference(avatar_component_clause,[],[f1110]) ).

fof(f1998,plain,
    ( ~ spl35_200
    | spl35_170
    | ~ spl35_48
    | spl35_58 ),
    inference(avatar_split_clause,[],[f1864,f506,f461,f1071,f1309]) ).

fof(f1309,plain,
    ( spl35_200
  <=> c0_1(a43) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_200])]) ).

fof(f1071,plain,
    ( spl35_170
  <=> c3_1(a43) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_170])]) ).

fof(f461,plain,
    ( spl35_48
  <=> ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_48])]) ).

fof(f506,plain,
    ( spl35_58
  <=> c1_1(a43) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_58])]) ).

fof(f1864,plain,
    ( c3_1(a43)
    | ~ c0_1(a43)
    | ~ spl35_48
    | spl35_58 ),
    inference(resolution,[],[f462,f508]) ).

fof(f508,plain,
    ( ~ c1_1(a43)
    | spl35_58 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f462,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl35_48 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f1997,plain,
    ( ~ spl35_81
    | ~ spl35_172
    | ~ spl35_65
    | spl35_163 ),
    inference(avatar_split_clause,[],[f1991,f1036,f541,f1082,f616]) ).

fof(f616,plain,
    ( spl35_81
  <=> c2_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_81])]) ).

fof(f1082,plain,
    ( spl35_172
  <=> c3_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_172])]) ).

fof(f541,plain,
    ( spl35_65
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_65])]) ).

fof(f1036,plain,
    ( spl35_163
  <=> c1_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_163])]) ).

fof(f1991,plain,
    ( ~ c3_1(a5)
    | ~ c2_1(a5)
    | ~ spl35_65
    | spl35_163 ),
    inference(resolution,[],[f542,f1038]) ).

fof(f1038,plain,
    ( ~ c1_1(a5)
    | spl35_163 ),
    inference(avatar_component_clause,[],[f1036]) ).

fof(f542,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl35_65 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f1947,plain,
    ( ~ spl35_141
    | ~ spl35_212
    | ~ spl35_55
    | spl35_176 ),
    inference(avatar_split_clause,[],[f1942,f1110,f492,f1944,f927]) ).

fof(f927,plain,
    ( spl35_141
  <=> c0_1(a58) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_141])]) ).

fof(f492,plain,
    ( spl35_55
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_55])]) ).

fof(f1942,plain,
    ( ~ c2_1(a58)
    | ~ c0_1(a58)
    | ~ spl35_55
    | spl35_176 ),
    inference(resolution,[],[f1112,f493]) ).

fof(f493,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl35_55 ),
    inference(avatar_component_clause,[],[f492]) ).

fof(f1924,plain,
    ( spl35_170
    | ~ spl35_174
    | spl35_58
    | ~ spl35_146 ),
    inference(avatar_split_clause,[],[f1915,f949,f506,f1095,f1071]) ).

fof(f1095,plain,
    ( spl35_174
  <=> c2_1(a43) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_174])]) ).

fof(f949,plain,
    ( spl35_146
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_146])]) ).

fof(f1915,plain,
    ( ~ c2_1(a43)
    | c3_1(a43)
    | spl35_58
    | ~ spl35_146 ),
    inference(resolution,[],[f950,f508]) ).

fof(f950,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl35_146 ),
    inference(avatar_component_clause,[],[f949]) ).

fof(f1909,plain,
    ( ~ spl35_20
    | spl35_175
    | ~ spl35_144
    | spl35_147 ),
    inference(avatar_split_clause,[],[f1892,f954,f941,f1105,f340]) ).

fof(f340,plain,
    ( spl35_20
  <=> c2_1(a92) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_20])]) ).

fof(f1105,plain,
    ( spl35_175
  <=> c0_1(a92) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_175])]) ).

fof(f941,plain,
    ( spl35_144
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_144])]) ).

fof(f954,plain,
    ( spl35_147
  <=> c3_1(a92) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_147])]) ).

fof(f1892,plain,
    ( c0_1(a92)
    | ~ c2_1(a92)
    | ~ spl35_144
    | spl35_147 ),
    inference(resolution,[],[f942,f956]) ).

fof(f956,plain,
    ( ~ c3_1(a92)
    | spl35_147 ),
    inference(avatar_component_clause,[],[f954]) ).

fof(f942,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl35_144 ),
    inference(avatar_component_clause,[],[f941]) ).

fof(f1854,plain,
    ( spl35_49
    | ~ spl35_28
    | ~ spl35_41
    | spl35_114 ),
    inference(avatar_split_clause,[],[f1845,f771,f430,f375,f465]) ).

fof(f465,plain,
    ( spl35_49
  <=> c2_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_49])]) ).

fof(f375,plain,
    ( spl35_28
  <=> c0_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_28])]) ).

fof(f771,plain,
    ( spl35_114
  <=> c3_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_114])]) ).

fof(f1845,plain,
    ( ~ c0_1(a8)
    | c2_1(a8)
    | ~ spl35_41
    | spl35_114 ),
    inference(resolution,[],[f431,f773]) ).

fof(f773,plain,
    ( ~ c3_1(a8)
    | spl35_114 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f1799,plain,
    ( ~ spl35_198
    | spl35_173
    | spl35_56
    | ~ spl35_83 ),
    inference(avatar_split_clause,[],[f1784,f626,f497,f1089,f1281]) ).

fof(f1281,plain,
    ( spl35_198
  <=> c3_1(a52) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_198])]) ).

fof(f1089,plain,
    ( spl35_173
  <=> c2_1(a52) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_173])]) ).

fof(f497,plain,
    ( spl35_56
  <=> c1_1(a52) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_56])]) ).

fof(f1784,plain,
    ( c2_1(a52)
    | ~ c3_1(a52)
    | spl35_56
    | ~ spl35_83 ),
    inference(resolution,[],[f627,f499]) ).

fof(f499,plain,
    ( ~ c1_1(a52)
    | spl35_56 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f1798,plain,
    ( ~ spl35_168
    | spl35_135
    | spl35_75
    | ~ spl35_83 ),
    inference(avatar_split_clause,[],[f1786,f626,f586,f886,f1061]) ).

fof(f1061,plain,
    ( spl35_168
  <=> c3_1(a34) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_168])]) ).

fof(f886,plain,
    ( spl35_135
  <=> c2_1(a34) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_135])]) ).

fof(f586,plain,
    ( spl35_75
  <=> c1_1(a34) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_75])]) ).

fof(f1786,plain,
    ( c2_1(a34)
    | ~ c3_1(a34)
    | spl35_75
    | ~ spl35_83 ),
    inference(resolution,[],[f627,f588]) ).

fof(f588,plain,
    ( ~ c1_1(a34)
    | spl35_75 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f1768,plain,
    ( spl35_123
    | ~ spl35_55
    | ~ spl35_82 ),
    inference(avatar_split_clause,[],[f1761,f622,f492,f819]) ).

fof(f819,plain,
    ( spl35_123
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_123])]) ).

fof(f622,plain,
    ( spl35_82
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_82])]) ).

fof(f1761,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl35_55
    | ~ spl35_82 ),
    inference(duplicate_literal_removal,[],[f1751]) ).

fof(f1751,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl35_55
    | ~ spl35_82 ),
    inference(resolution,[],[f623,f493]) ).

fof(f623,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl35_82 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f1762,plain,
    ( ~ spl35_196
    | ~ spl35_115
    | ~ spl35_82
    | ~ spl35_90 ),
    inference(avatar_split_clause,[],[f1756,f656,f622,f776,f1242]) ).

fof(f1242,plain,
    ( spl35_196
  <=> c0_1(a64) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_196])]) ).

fof(f776,plain,
    ( spl35_115
  <=> c3_1(a64) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_115])]) ).

fof(f656,plain,
    ( spl35_90
  <=> c1_1(a64) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_90])]) ).

fof(f1756,plain,
    ( ~ c3_1(a64)
    | ~ c0_1(a64)
    | ~ spl35_82
    | ~ spl35_90 ),
    inference(resolution,[],[f623,f658]) ).

fof(f658,plain,
    ( c1_1(a64)
    | ~ spl35_90 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f1750,plain,
    ( ~ spl35_50
    | spl35_209
    | ~ spl35_72
    | ~ spl35_132 ),
    inference(avatar_split_clause,[],[f1739,f870,f572,f1532,f470]) ).

fof(f470,plain,
    ( spl35_50
  <=> c0_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_50])]) ).

fof(f1532,plain,
    ( spl35_209
  <=> c2_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_209])]) ).

fof(f572,plain,
    ( spl35_72
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_72])]) ).

fof(f870,plain,
    ( spl35_132
  <=> c1_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_132])]) ).

fof(f1739,plain,
    ( c2_1(a15)
    | ~ c0_1(a15)
    | ~ spl35_72
    | ~ spl35_132 ),
    inference(resolution,[],[f573,f872]) ).

fof(f872,plain,
    ( c1_1(a15)
    | ~ spl35_132 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f573,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl35_72 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f1749,plain,
    ( spl35_149
    | ~ spl35_195
    | ~ spl35_72
    | ~ spl35_101 ),
    inference(avatar_split_clause,[],[f1743,f709,f572,f1233,f964]) ).

fof(f1233,plain,
    ( spl35_195
  <=> c0_1(a12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_195])]) ).

fof(f1743,plain,
    ( ~ c0_1(a12)
    | c2_1(a12)
    | ~ spl35_72
    | ~ spl35_101 ),
    inference(resolution,[],[f573,f711]) ).

fof(f1715,plain,
    ( ~ spl35_209
    | ~ spl35_50
    | ~ spl35_33
    | ~ spl35_132 ),
    inference(avatar_split_clause,[],[f1707,f870,f396,f470,f1532]) ).

fof(f396,plain,
    ( spl35_33
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_33])]) ).

fof(f1707,plain,
    ( ~ c0_1(a15)
    | ~ c2_1(a15)
    | ~ spl35_33
    | ~ spl35_132 ),
    inference(resolution,[],[f397,f872]) ).

fof(f397,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c2_1(X2)
        | ~ c0_1(X2) )
    | ~ spl35_33 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f1714,plain,
    ( ~ spl35_148
    | ~ spl35_203
    | ~ spl35_33
    | ~ spl35_125 ),
    inference(avatar_split_clause,[],[f1708,f827,f396,f1402,f959]) ).

fof(f959,plain,
    ( spl35_148
  <=> c2_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_148])]) ).

fof(f1402,plain,
    ( spl35_203
  <=> c0_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_203])]) ).

fof(f827,plain,
    ( spl35_125
  <=> c1_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_125])]) ).

fof(f1708,plain,
    ( ~ c0_1(a10)
    | ~ c2_1(a10)
    | ~ spl35_33
    | ~ spl35_125 ),
    inference(resolution,[],[f397,f829]) ).

fof(f829,plain,
    ( c1_1(a10)
    | ~ spl35_125 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f1713,plain,
    ( ~ spl35_1
    | ~ spl35_44
    | ~ spl35_33
    | ~ spl35_183 ),
    inference(avatar_split_clause,[],[f1706,f1152,f396,f443,f256]) ).

fof(f256,plain,
    ( spl35_1
  <=> c0_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_1])]) ).

fof(f443,plain,
    ( spl35_44
  <=> c2_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_44])]) ).

fof(f1152,plain,
    ( spl35_183
  <=> c1_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_183])]) ).

fof(f1706,plain,
    ( ~ c2_1(a25)
    | ~ c0_1(a25)
    | ~ spl35_33
    | ~ spl35_183 ),
    inference(resolution,[],[f397,f1154]) ).

fof(f1154,plain,
    ( c1_1(a25)
    | ~ spl35_183 ),
    inference(avatar_component_clause,[],[f1152]) ).

fof(f1683,plain,
    ( ~ spl35_209
    | ~ spl35_162
    | ~ spl35_131
    | ~ spl35_132 ),
    inference(avatar_split_clause,[],[f1671,f870,f866,f1031,f1532]) ).

fof(f1031,plain,
    ( spl35_162
  <=> c3_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_162])]) ).

fof(f866,plain,
    ( spl35_131
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_131])]) ).

fof(f1671,plain,
    ( ~ c3_1(a15)
    | ~ c2_1(a15)
    | ~ spl35_131
    | ~ spl35_132 ),
    inference(resolution,[],[f867,f872]) ).

fof(f867,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl35_131 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f1682,plain,
    ( spl35_123
    | ~ spl35_55
    | ~ spl35_131 ),
    inference(avatar_split_clause,[],[f1679,f866,f492,f819]) ).

fof(f1679,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl35_55
    | ~ spl35_131 ),
    inference(duplicate_literal_removal,[],[f1669]) ).

fof(f1669,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1)
        | ~ c2_1(X1) )
    | ~ spl35_55
    | ~ spl35_131 ),
    inference(resolution,[],[f867,f493]) ).

fof(f1681,plain,
    ( ~ spl35_148
    | ~ spl35_133
    | ~ spl35_125
    | ~ spl35_131 ),
    inference(avatar_split_clause,[],[f1672,f866,f827,f876,f959]) ).

fof(f876,plain,
    ( spl35_133
  <=> c3_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_133])]) ).

fof(f1672,plain,
    ( ~ c3_1(a10)
    | ~ c2_1(a10)
    | ~ spl35_125
    | ~ spl35_131 ),
    inference(resolution,[],[f867,f829]) ).

fof(f1666,plain,
    ( spl35_91
    | ~ spl35_31
    | ~ spl35_38
    | spl35_100 ),
    inference(avatar_split_clause,[],[f1661,f704,f417,f388,f661]) ).

fof(f661,plain,
    ( spl35_91
  <=> c0_1(a22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_91])]) ).

fof(f388,plain,
    ( spl35_31
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_31])]) ).

fof(f417,plain,
    ( spl35_38
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_38])]) ).

fof(f704,plain,
    ( spl35_100
  <=> c2_1(a22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_100])]) ).

fof(f1661,plain,
    ( c0_1(a22)
    | ~ spl35_31
    | ~ spl35_38
    | spl35_100 ),
    inference(resolution,[],[f1547,f706]) ).

fof(f706,plain,
    ( ~ c2_1(a22)
    | spl35_100 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f1547,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1) )
    | ~ spl35_31
    | ~ spl35_38 ),
    inference(duplicate_literal_removal,[],[f1537]) ).

fof(f1537,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c2_1(X1)
        | c0_1(X1)
        | c0_1(X1) )
    | ~ spl35_31
    | ~ spl35_38 ),
    inference(resolution,[],[f389,f418]) ).

fof(f418,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl35_38 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f389,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | c2_1(X2) )
    | ~ spl35_31 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f1630,plain,
    ( ~ spl35_203
    | ~ spl35_148
    | ~ spl35_123
    | ~ spl35_133 ),
    inference(avatar_split_clause,[],[f1616,f876,f819,f959,f1402]) ).

fof(f1616,plain,
    ( ~ c2_1(a10)
    | ~ c0_1(a10)
    | ~ spl35_123
    | ~ spl35_133 ),
    inference(resolution,[],[f820,f878]) ).

fof(f878,plain,
    ( c3_1(a10)
    | ~ spl35_133 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f820,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl35_123 ),
    inference(avatar_component_clause,[],[f819]) ).

fof(f1629,plain,
    ( ~ spl35_169
    | ~ spl35_95
    | ~ spl35_77
    | ~ spl35_123 ),
    inference(avatar_split_clause,[],[f1614,f819,f596,f679,f1066]) ).

fof(f1066,plain,
    ( spl35_169
  <=> c2_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_169])]) ).

fof(f679,plain,
    ( spl35_95
  <=> c0_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_95])]) ).

fof(f596,plain,
    ( spl35_77
  <=> c3_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_77])]) ).

fof(f1614,plain,
    ( ~ c0_1(a33)
    | ~ c2_1(a33)
    | ~ spl35_77
    | ~ spl35_123 ),
    inference(resolution,[],[f820,f598]) ).

fof(f598,plain,
    ( c3_1(a33)
    | ~ spl35_77 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f1628,plain,
    ( ~ spl35_50
    | ~ spl35_209
    | ~ spl35_123
    | ~ spl35_162 ),
    inference(avatar_split_clause,[],[f1615,f1031,f819,f1532,f470]) ).

fof(f1615,plain,
    ( ~ c2_1(a15)
    | ~ c0_1(a15)
    | ~ spl35_123
    | ~ spl35_162 ),
    inference(resolution,[],[f820,f1033]) ).

fof(f1033,plain,
    ( c3_1(a15)
    | ~ spl35_162 ),
    inference(avatar_component_clause,[],[f1031]) ).

fof(f1563,plain,
    ( ~ spl35_203
    | ~ spl35_133
    | ~ spl35_82
    | ~ spl35_125 ),
    inference(avatar_split_clause,[],[f1551,f827,f622,f876,f1402]) ).

fof(f1551,plain,
    ( ~ c3_1(a10)
    | ~ c0_1(a10)
    | ~ spl35_82
    | ~ spl35_125 ),
    inference(resolution,[],[f623,f829]) ).

fof(f1561,plain,
    ( ~ spl35_204
    | ~ spl35_189
    | ~ spl35_82
    | ~ spl35_184 ),
    inference(avatar_split_clause,[],[f1554,f1164,f622,f1193,f1415]) ).

fof(f1164,plain,
    ( spl35_184
  <=> c1_1(a27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_184])]) ).

fof(f1554,plain,
    ( ~ c0_1(a27)
    | ~ c3_1(a27)
    | ~ spl35_82
    | ~ spl35_184 ),
    inference(resolution,[],[f623,f1166]) ).

fof(f1166,plain,
    ( c1_1(a27)
    | ~ spl35_184 ),
    inference(avatar_component_clause,[],[f1164]) ).

fof(f1560,plain,
    ( ~ spl35_162
    | ~ spl35_50
    | ~ spl35_82
    | ~ spl35_132 ),
    inference(avatar_split_clause,[],[f1550,f870,f622,f470,f1031]) ).

fof(f1550,plain,
    ( ~ c0_1(a15)
    | ~ c3_1(a15)
    | ~ spl35_82
    | ~ spl35_132 ),
    inference(resolution,[],[f623,f872]) ).

fof(f1535,plain,
    ( spl35_209
    | ~ spl35_50
    | ~ spl35_24
    | ~ spl35_162 ),
    inference(avatar_split_clause,[],[f1516,f1031,f357,f470,f1532]) ).

fof(f357,plain,
    ( spl35_24
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_24])]) ).

fof(f1516,plain,
    ( ~ c0_1(a15)
    | c2_1(a15)
    | ~ spl35_24
    | ~ spl35_162 ),
    inference(resolution,[],[f358,f1033]) ).

fof(f358,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl35_24 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f1527,plain,
    ( spl35_110
    | ~ spl35_165
    | ~ spl35_9
    | ~ spl35_24 ),
    inference(avatar_split_clause,[],[f1524,f357,f290,f1046,f751]) ).

fof(f751,plain,
    ( spl35_110
  <=> c2_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_110])]) ).

fof(f1046,plain,
    ( spl35_165
  <=> c0_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_165])]) ).

fof(f290,plain,
    ( spl35_9
  <=> c3_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_9])]) ).

fof(f1524,plain,
    ( ~ c0_1(a2)
    | c2_1(a2)
    | ~ spl35_9
    | ~ spl35_24 ),
    inference(resolution,[],[f358,f292]) ).

fof(f292,plain,
    ( c3_1(a2)
    | ~ spl35_9 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f1509,plain,
    ( spl35_205
    | ~ spl35_172
    | ~ spl35_5
    | spl35_163 ),
    inference(avatar_split_clause,[],[f1495,f1036,f273,f1082,f1429]) ).

fof(f1429,plain,
    ( spl35_205
  <=> c0_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_205])]) ).

fof(f273,plain,
    ( spl35_5
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_5])]) ).

fof(f1495,plain,
    ( ~ c3_1(a5)
    | c0_1(a5)
    | ~ spl35_5
    | spl35_163 ),
    inference(resolution,[],[f274,f1038]) ).

fof(f274,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl35_5 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f1462,plain,
    ( ~ spl35_116
    | spl35_186
    | ~ spl35_39
    | ~ spl35_98 ),
    inference(avatar_split_clause,[],[f1456,f696,f421,f1174,f782]) ).

fof(f782,plain,
    ( spl35_116
  <=> c2_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_116])]) ).

fof(f1174,plain,
    ( spl35_186
  <=> c0_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_186])]) ).

fof(f421,plain,
    ( spl35_39
  <=> c1_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_39])]) ).

fof(f696,plain,
    ( spl35_98
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_98])]) ).

fof(f1456,plain,
    ( c0_1(a1)
    | ~ c2_1(a1)
    | ~ spl35_39
    | ~ spl35_98 ),
    inference(resolution,[],[f697,f423]) ).

fof(f423,plain,
    ( c1_1(a1)
    | ~ spl35_39 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f697,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl35_98 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f1461,plain,
    ( spl35_194
    | ~ spl35_111
    | ~ spl35_98
    | ~ spl35_109 ),
    inference(avatar_split_clause,[],[f1454,f746,f696,f757,f1228]) ).

fof(f1228,plain,
    ( spl35_194
  <=> c0_1(a11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_194])]) ).

fof(f757,plain,
    ( spl35_111
  <=> c2_1(a11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_111])]) ).

fof(f746,plain,
    ( spl35_109
  <=> c1_1(a11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_109])]) ).

fof(f1454,plain,
    ( ~ c2_1(a11)
    | c0_1(a11)
    | ~ spl35_98
    | ~ spl35_109 ),
    inference(resolution,[],[f697,f748]) ).

fof(f748,plain,
    ( c1_1(a11)
    | ~ spl35_109 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f1460,plain,
    ( spl35_203
    | ~ spl35_148
    | ~ spl35_98
    | ~ spl35_125 ),
    inference(avatar_split_clause,[],[f1449,f827,f696,f959,f1402]) ).

fof(f1449,plain,
    ( ~ c2_1(a10)
    | c0_1(a10)
    | ~ spl35_98
    | ~ spl35_125 ),
    inference(resolution,[],[f697,f829]) ).

fof(f1445,plain,
    ( spl35_200
    | spl35_170
    | spl35_58
    | ~ spl35_87 ),
    inference(avatar_split_clause,[],[f1438,f644,f506,f1071,f1309]) ).

fof(f644,plain,
    ( spl35_87
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_87])]) ).

fof(f1438,plain,
    ( c3_1(a43)
    | c0_1(a43)
    | spl35_58
    | ~ spl35_87 ),
    inference(resolution,[],[f645,f508]) ).

fof(f645,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl35_87 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f1432,plain,
    ( ~ spl35_81
    | ~ spl35_205
    | ~ spl35_55
    | spl35_163 ),
    inference(avatar_split_clause,[],[f1423,f1036,f492,f1429,f616]) ).

fof(f1423,plain,
    ( ~ c0_1(a5)
    | ~ c2_1(a5)
    | ~ spl35_55
    | spl35_163 ),
    inference(resolution,[],[f493,f1038]) ).

fof(f1407,plain,
    ( spl35_106
    | ~ spl35_201
    | ~ spl35_73
    | ~ spl35_138 ),
    inference(avatar_split_clause,[],[f1398,f911,f577,f1323,f732]) ).

fof(f732,plain,
    ( spl35_106
  <=> c0_1(a4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_106])]) ).

fof(f577,plain,
    ( spl35_73
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_73])]) ).

fof(f1398,plain,
    ( ~ c2_1(a4)
    | c0_1(a4)
    | ~ spl35_73
    | ~ spl35_138 ),
    inference(resolution,[],[f578,f913]) ).

fof(f913,plain,
    ( c3_1(a4)
    | ~ spl35_138 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f578,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl35_73 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f1405,plain,
    ( spl35_203
    | ~ spl35_148
    | ~ spl35_73
    | ~ spl35_133 ),
    inference(avatar_split_clause,[],[f1395,f876,f577,f959,f1402]) ).

fof(f1395,plain,
    ( ~ c2_1(a10)
    | c0_1(a10)
    | ~ spl35_73
    | ~ spl35_133 ),
    inference(resolution,[],[f578,f878]) ).

fof(f1390,plain,
    ( ~ spl35_159
    | ~ spl35_155
    | ~ spl35_85
    | spl35_94 ),
    inference(avatar_split_clause,[],[f1388,f674,f635,f998,f1016]) ).

fof(f1016,plain,
    ( spl35_159
  <=> c2_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_159])]) ).

fof(f998,plain,
    ( spl35_155
  <=> c0_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_155])]) ).

fof(f635,plain,
    ( spl35_85
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_85])]) ).

fof(f674,plain,
    ( spl35_94
  <=> c3_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_94])]) ).

fof(f1388,plain,
    ( ~ c0_1(a6)
    | ~ c2_1(a6)
    | ~ spl35_85
    | spl35_94 ),
    inference(resolution,[],[f636,f676]) ).

fof(f676,plain,
    ( ~ c3_1(a6)
    | spl35_94 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f636,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl35_85 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f1330,plain,
    ( ~ spl35_107
    | ~ spl35_178
    | ~ spl35_55
    | spl35_60 ),
    inference(avatar_split_clause,[],[f1329,f517,f492,f1121,f737]) ).

fof(f737,plain,
    ( spl35_107
  <=> c2_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_107])]) ).

fof(f1121,plain,
    ( spl35_178
  <=> c0_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_178])]) ).

fof(f517,plain,
    ( spl35_60
  <=> c1_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_60])]) ).

fof(f1329,plain,
    ( ~ c0_1(a3)
    | ~ c2_1(a3)
    | ~ spl35_55
    | spl35_60 ),
    inference(resolution,[],[f519,f493]) ).

fof(f519,plain,
    ( ~ c1_1(a3)
    | spl35_60 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f1327,plain,
    ( spl35_196
    | spl35_126
    | ~ spl35_57
    | ~ spl35_115 ),
    inference(avatar_split_clause,[],[f1316,f776,f502,f834,f1242]) ).

fof(f834,plain,
    ( spl35_126
  <=> c2_1(a64) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_126])]) ).

fof(f502,plain,
    ( spl35_57
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_57])]) ).

fof(f1316,plain,
    ( c2_1(a64)
    | c0_1(a64)
    | ~ spl35_57
    | ~ spl35_115 ),
    inference(resolution,[],[f503,f778]) ).

fof(f778,plain,
    ( c3_1(a64)
    | ~ spl35_115 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f503,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl35_57 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f1321,plain,
    ( spl35_151
    | spl35_152
    | ~ spl35_57
    | ~ spl35_67 ),
    inference(avatar_split_clause,[],[f1318,f550,f502,f980,f975]) ).

fof(f975,plain,
    ( spl35_151
  <=> c2_1(a32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_151])]) ).

fof(f980,plain,
    ( spl35_152
  <=> c0_1(a32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_152])]) ).

fof(f550,plain,
    ( spl35_67
  <=> c3_1(a32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_67])]) ).

fof(f1318,plain,
    ( c0_1(a32)
    | c2_1(a32)
    | ~ spl35_57
    | ~ spl35_67 ),
    inference(resolution,[],[f503,f552]) ).

fof(f552,plain,
    ( c3_1(a32)
    | ~ spl35_67 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f1284,plain,
    ( ~ spl35_118
    | spl35_198
    | ~ spl35_48
    | spl35_56 ),
    inference(avatar_split_clause,[],[f1275,f497,f461,f1281,f793]) ).

fof(f793,plain,
    ( spl35_118
  <=> c0_1(a52) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_118])]) ).

fof(f1275,plain,
    ( c3_1(a52)
    | ~ c0_1(a52)
    | ~ spl35_48
    | spl35_56 ),
    inference(resolution,[],[f462,f499]) ).

fof(f1279,plain,
    ( spl35_137
    | ~ spl35_197
    | ~ spl35_48
    | spl35_161 ),
    inference(avatar_split_clause,[],[f1277,f1025,f461,f1264,f902]) ).

fof(f902,plain,
    ( spl35_137
  <=> c3_1(a36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_137])]) ).

fof(f1264,plain,
    ( spl35_197
  <=> c0_1(a36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_197])]) ).

fof(f1025,plain,
    ( spl35_161
  <=> c1_1(a36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_161])]) ).

fof(f1277,plain,
    ( ~ c0_1(a36)
    | c3_1(a36)
    | ~ spl35_48
    | spl35_161 ),
    inference(resolution,[],[f462,f1027]) ).

fof(f1027,plain,
    ( ~ c1_1(a36)
    | spl35_161 ),
    inference(avatar_component_clause,[],[f1025]) ).

fof(f1274,plain,
    ( spl35_149
    | ~ spl35_195
    | ~ spl35_41
    | spl35_185 ),
    inference(avatar_split_clause,[],[f1270,f1169,f430,f1233,f964]) ).

fof(f1270,plain,
    ( ~ c0_1(a12)
    | c2_1(a12)
    | ~ spl35_41
    | spl35_185 ),
    inference(resolution,[],[f431,f1171]) ).

fof(f1171,plain,
    ( ~ c3_1(a12)
    | spl35_185 ),
    inference(avatar_component_clause,[],[f1169]) ).

fof(f1267,plain,
    ( spl35_188
    | spl35_197
    | ~ spl35_38
    | spl35_161 ),
    inference(avatar_split_clause,[],[f1259,f1025,f417,f1264,f1188]) ).

fof(f1188,plain,
    ( spl35_188
  <=> c2_1(a36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_188])]) ).

fof(f1259,plain,
    ( c0_1(a36)
    | c2_1(a36)
    | ~ spl35_38
    | spl35_161 ),
    inference(resolution,[],[f418,f1027]) ).

fof(f1262,plain,
    ( spl35_192
    | spl35_135
    | ~ spl35_38
    | spl35_75 ),
    inference(avatar_split_clause,[],[f1258,f586,f417,f886,f1212]) ).

fof(f1212,plain,
    ( spl35_192
  <=> c0_1(a34) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_192])]) ).

fof(f1258,plain,
    ( c2_1(a34)
    | c0_1(a34)
    | ~ spl35_38
    | spl35_75 ),
    inference(resolution,[],[f418,f588]) ).

fof(f1255,plain,
    ( spl35_149
    | spl35_195
    | ~ spl35_31
    | ~ spl35_101 ),
    inference(avatar_split_clause,[],[f1249,f709,f388,f1233,f964]) ).

fof(f1249,plain,
    ( c0_1(a12)
    | c2_1(a12)
    | ~ spl35_31
    | ~ spl35_101 ),
    inference(resolution,[],[f389,f711]) ).

fof(f1254,plain,
    ( spl35_180
    | spl35_102
    | ~ spl35_7
    | ~ spl35_31 ),
    inference(avatar_split_clause,[],[f1251,f388,f281,f714,f1134]) ).

fof(f1134,plain,
    ( spl35_180
  <=> c2_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_180])]) ).

fof(f714,plain,
    ( spl35_102
  <=> c0_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_102])]) ).

fof(f281,plain,
    ( spl35_7
  <=> c1_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_7])]) ).

fof(f1251,plain,
    ( c0_1(a9)
    | c2_1(a9)
    | ~ spl35_7
    | ~ spl35_31 ),
    inference(resolution,[],[f389,f283]) ).

fof(f283,plain,
    ( c1_1(a9)
    | ~ spl35_7 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f1246,plain,
    ( spl35_135
    | ~ spl35_192
    | ~ spl35_24
    | ~ spl35_168 ),
    inference(avatar_split_clause,[],[f1240,f1061,f357,f1212,f886]) ).

fof(f1240,plain,
    ( ~ c0_1(a34)
    | c2_1(a34)
    | ~ spl35_24
    | ~ spl35_168 ),
    inference(resolution,[],[f358,f1063]) ).

fof(f1063,plain,
    ( c3_1(a34)
    | ~ spl35_168 ),
    inference(avatar_component_clause,[],[f1061]) ).

fof(f1236,plain,
    ( spl35_185
    | ~ spl35_195
    | ~ spl35_12
    | ~ spl35_101 ),
    inference(avatar_split_clause,[],[f1223,f709,f303,f1233,f1169]) ).

fof(f303,plain,
    ( spl35_12
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_12])]) ).

fof(f1223,plain,
    ( ~ c0_1(a12)
    | c3_1(a12)
    | ~ spl35_12
    | ~ spl35_101 ),
    inference(resolution,[],[f304,f711]) ).

fof(f304,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl35_12 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f1231,plain,
    ( ~ spl35_194
    | spl35_150
    | ~ spl35_12
    | ~ spl35_109 ),
    inference(avatar_split_clause,[],[f1224,f746,f303,f970,f1228]) ).

fof(f970,plain,
    ( spl35_150
  <=> c3_1(a11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_150])]) ).

fof(f1224,plain,
    ( c3_1(a11)
    | ~ c0_1(a11)
    | ~ spl35_12
    | ~ spl35_109 ),
    inference(resolution,[],[f304,f748]) ).

fof(f1196,plain,
    ( ~ spl35_35
    | spl35_189 ),
    inference(avatar_split_clause,[],[f68,f1193,f404]) ).

fof(f404,plain,
    ( spl35_35
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_35])]) ).

fof(f68,axiom,
    ( c0_1(a27)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f1191,plain,
    ( ~ spl35_23
    | ~ spl35_188 ),
    inference(avatar_split_clause,[],[f100,f1188,f353]) ).

fof(f353,plain,
    ( spl35_23
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_23])]) ).

fof(f100,axiom,
    ( ~ c2_1(a36)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f1186,plain,
    ( spl35_42
    | spl35_108
    | spl35_5
    | ~ spl35_4 ),
    inference(avatar_split_clause,[],[f140,f269,f273,f742,f434]) ).

fof(f434,plain,
    ( spl35_42
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_42])]) ).

fof(f742,plain,
    ( spl35_108
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_108])]) ).

fof(f269,plain,
    ( spl35_4
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_4])]) ).

fof(f140,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | hskp8
      | hskp27
      | c1_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f1185,plain,
    ( ~ spl35_21
    | spl35_4 ),
    inference(avatar_split_clause,[],[f6,f269,f344]) ).

fof(f344,plain,
    ( spl35_21
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_21])]) ).

fof(f6,axiom,
    ( ndr1_0
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

fof(f1184,plain,
    ( spl35_88
    | spl35_24 ),
    inference(avatar_split_clause,[],[f199,f357,f647]) ).

fof(f647,plain,
    ( spl35_88
  <=> sP7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_88])]) ).

fof(f199,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ c0_1(X0)
      | sP7
      | c2_1(X0) ),
    inference(cnf_transformation,[],[f199_D]) ).

fof(f199_D,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
  <=> ~ sP7 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP7])]) ).

fof(f1178,plain,
    ( spl35_84
    | spl35_131 ),
    inference(avatar_split_clause,[],[f235,f866,f629]) ).

fof(f629,plain,
    ( spl35_84
  <=> sP25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_84])]) ).

fof(f235,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ c1_1(X0)
      | sP25
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f235_D]) ).

fof(f235_D,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
  <=> ~ sP25 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP25])]) ).

fof(f1177,plain,
    ( ~ spl35_37
    | ~ spl35_186 ),
    inference(avatar_split_clause,[],[f134,f1174,f413]) ).

fof(f413,plain,
    ( spl35_37
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_37])]) ).

fof(f134,axiom,
    ( ~ c0_1(a1)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f1172,plain,
    ( ~ spl35_3
    | ~ spl35_185 ),
    inference(avatar_split_clause,[],[f122,f1169,f265]) ).

fof(f265,plain,
    ( spl35_3
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_3])]) ).

fof(f122,axiom,
    ( ~ c3_1(a12)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f1167,plain,
    ( ~ spl35_35
    | spl35_184 ),
    inference(avatar_split_clause,[],[f69,f1164,f404]) ).

fof(f69,axiom,
    ( c1_1(a27)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f1162,plain,
    ( spl35_10
    | spl35_38
    | ~ spl35_128
    | ~ spl35_4 ),
    inference(avatar_split_clause,[],[f252,f269,f849,f417,f294]) ).

fof(f294,plain,
    ( spl35_10
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_10])]) ).

fof(f849,plain,
    ( spl35_128
  <=> sP33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_128])]) ).

fof(f252,plain,
    ! [X1] :
      ( ~ ndr1_0
      | ~ sP33
      | c0_1(X1)
      | hskp1
      | c1_1(X1)
      | c2_1(X1) ),
    inference(general_splitting,[],[f160,f251_D]) ).

fof(f251,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | sP33
      | ~ c0_1(X0)
      | c1_1(X0) ),
    inference(cnf_transformation,[],[f251_D]) ).

fof(f251_D,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
  <=> ~ sP33 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP33])]) ).

fof(f160,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X0)
      | hskp1
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f1159,plain,
    ( spl35_145
    | spl35_98 ),
    inference(avatar_split_clause,[],[f231,f696,f945]) ).

fof(f945,plain,
    ( spl35_145
  <=> sP23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_145])]) ).

fof(f231,plain,
    ! [X2] :
      ( ~ c2_1(X2)
      | ~ c1_1(X2)
      | sP23
      | c0_1(X2) ),
    inference(cnf_transformation,[],[f231_D]) ).

fof(f231_D,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) )
  <=> ~ sP23 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP23])]) ).

fof(f1158,plain,
    ( spl35_57
    | spl35_78 ),
    inference(avatar_split_clause,[],[f205,f601,f502]) ).

fof(f601,plain,
    ( spl35_78
  <=> sP10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_78])]) ).

fof(f205,plain,
    ! [X0] :
      ( sP10
      | c2_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f205_D]) ).

fof(f205_D,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
  <=> ~ sP10 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP10])]) ).

fof(f1157,plain,
    ( ~ spl35_4
    | spl35_51
    | spl35_42
    | spl35_31 ),
    inference(avatar_split_clause,[],[f142,f388,f434,f474,f269]) ).

fof(f474,plain,
    ( spl35_51
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_51])]) ).

fof(f142,axiom,
    ! [X0] :
      ( c2_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0)
      | hskp27
      | hskp28
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f1155,plain,
    ( ~ spl35_2
    | spl35_183 ),
    inference(avatar_split_clause,[],[f46,f1152,f260]) ).

fof(f260,plain,
    ( spl35_2
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_2])]) ).

fof(f46,axiom,
    ( c1_1(a25)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f1139,plain,
    ( spl35_43
    | spl35_42
    | spl35_8 ),
    inference(avatar_split_clause,[],[f38,f285,f434,f438]) ).

fof(f438,plain,
    ( spl35_43
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_43])]) ).

fof(f285,plain,
    ( spl35_8
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_8])]) ).

fof(f38,axiom,
    ( hskp7
    | hskp27
    | hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f1137,plain,
    ( ~ spl35_180
    | ~ spl35_8 ),
    inference(avatar_split_clause,[],[f125,f285,f1134]) ).

fof(f125,axiom,
    ( ~ hskp7
    | ~ c2_1(a9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f1131,plain,
    ( spl35_179
    | ~ spl35_13 ),
    inference(avatar_split_clause,[],[f58,f308,f1128]) ).

fof(f308,plain,
    ( spl35_13
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_13])]) ).

fof(f58,axiom,
    ( ~ hskp24
    | c3_1(a58) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f1126,plain,
    ( ~ spl35_134
    | spl35_23
    | ~ spl35_4
    | spl35_65 ),
    inference(avatar_split_clause,[],[f186,f541,f269,f353,f881]) ).

fof(f881,plain,
    ( spl35_134
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_134])]) ).

fof(f186,plain,
    ! [X1] :
      ( ~ c2_1(X1)
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c3_1(X1)
      | hskp19
      | ~ sP0 ),
    inference(general_splitting,[],[f177,f185_D]) ).

fof(f185,plain,
    ! [X0] :
      ( sP0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f185_D]) ).

fof(f185_D,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
  <=> ~ sP0 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | hskp19
      | ~ c2_1(X1)
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f1124,plain,
    ( ~ spl35_14
    | spl35_178 ),
    inference(avatar_split_clause,[],[f83,f1121,f312]) ).

fof(f312,plain,
    ( spl35_14
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_14])]) ).

fof(f83,axiom,
    ( c0_1(a3)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f1113,plain,
    ( ~ spl35_13
    | ~ spl35_176 ),
    inference(avatar_split_clause,[],[f92,f1110,f308]) ).

fof(f92,axiom,
    ( ~ c1_1(a58)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f1108,plain,
    ( ~ spl35_21
    | ~ spl35_175 ),
    inference(avatar_split_clause,[],[f89,f1105,f344]) ).

fof(f89,axiom,
    ( ~ c0_1(a92)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f1103,plain,
    ( spl35_143
    | spl35_48 ),
    inference(avatar_split_clause,[],[f209,f461,f937]) ).

fof(f937,plain,
    ( spl35_143
  <=> sP12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_143])]) ).

fof(f209,plain,
    ! [X0] :
      ( c3_1(X0)
      | c1_1(X0)
      | sP12
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f209_D]) ).

fof(f209_D,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
  <=> ~ sP12 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP12])]) ).

fof(f1101,plain,
    ( spl35_99
    | spl35_48 ),
    inference(avatar_split_clause,[],[f219,f461,f699]) ).

fof(f699,plain,
    ( spl35_99
  <=> sP17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_99])]) ).

fof(f219,plain,
    ! [X0] :
      ( c1_1(X0)
      | c3_1(X0)
      | sP17
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f219_D]) ).

fof(f219_D,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
  <=> ~ sP17 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP17])]) ).

fof(f1098,plain,
    ( spl35_174
    | ~ spl35_22 ),
    inference(avatar_split_clause,[],[f60,f349,f1095]) ).

fof(f349,plain,
    ( spl35_22
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_22])]) ).

fof(f60,axiom,
    ( ~ hskp22
    | c2_1(a43) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f1092,plain,
    ( ~ spl35_15
    | ~ spl35_173 ),
    inference(avatar_split_clause,[],[f94,f1089,f316]) ).

fof(f316,plain,
    ( spl35_15
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_15])]) ).

fof(f94,axiom,
    ( ~ c2_1(a52)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f1086,plain,
    ( ~ spl35_4
    | spl35_93
    | spl35_73
    | ~ spl35_167 ),
    inference(avatar_split_clause,[],[f212,f1056,f577,f670,f269]) ).

fof(f670,plain,
    ( spl35_93
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_93])]) ).

fof(f1056,plain,
    ( spl35_167
  <=> sP13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_167])]) ).

fof(f212,plain,
    ! [X1] :
      ( ~ sP13
      | ~ c2_1(X1)
      | hskp5
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1) ),
    inference(general_splitting,[],[f173,f211_D]) ).

fof(f211,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | sP13
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f211_D]) ).

fof(f211_D,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
  <=> ~ sP13 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP13])]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f1085,plain,
    ( spl35_172
    | ~ spl35_80 ),
    inference(avatar_split_clause,[],[f81,f612,f1082]) ).

fof(f612,plain,
    ( spl35_80
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_80])]) ).

fof(f81,axiom,
    ( ~ hskp4
    | c3_1(a5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f1074,plain,
    ( ~ spl35_22
    | ~ spl35_170 ),
    inference(avatar_split_clause,[],[f96,f1071,f349]) ).

fof(f96,axiom,
    ( ~ c3_1(a43)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f1069,plain,
    ( spl35_169
    | ~ spl35_43 ),
    inference(avatar_split_clause,[],[f43,f438,f1066]) ).

fof(f43,axiom,
    ( ~ hskp30
    | c2_1(a33) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f1064,plain,
    ( spl35_168
    | ~ spl35_76 ),
    inference(avatar_split_clause,[],[f65,f590,f1061]) ).

fof(f590,plain,
    ( spl35_76
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_76])]) ).

fof(f65,axiom,
    ( ~ hskp18
    | c3_1(a34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f1059,plain,
    ( spl35_167
    | spl35_55 ),
    inference(avatar_split_clause,[],[f211,f492,f1056]) ).

fof(f1049,plain,
    ( ~ spl35_10
    | spl35_165 ),
    inference(avatar_split_clause,[],[f85,f1046,f294]) ).

fof(f85,axiom,
    ( c0_1(a2)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f1039,plain,
    ( ~ spl35_163
    | ~ spl35_80 ),
    inference(avatar_split_clause,[],[f129,f612,f1036]) ).

fof(f129,axiom,
    ( ~ hskp4
    | ~ c1_1(a5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f1034,plain,
    ( spl35_162
    | ~ spl35_51 ),
    inference(avatar_split_clause,[],[f50,f474,f1031]) ).

fof(f50,axiom,
    ( ~ hskp28
    | c3_1(a15) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f1029,plain,
    ( spl35_70
    | spl35_55 ),
    inference(avatar_split_clause,[],[f241,f492,f564]) ).

fof(f564,plain,
    ( spl35_70
  <=> sP28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_70])]) ).

fof(f241,plain,
    ! [X2] :
      ( c1_1(X2)
      | sP28
      | ~ c0_1(X2)
      | ~ c2_1(X2) ),
    inference(cnf_transformation,[],[f241_D]) ).

fof(f241_D,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) )
  <=> ~ sP28 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP28])]) ).

fof(f1028,plain,
    ( ~ spl35_161
    | ~ spl35_23 ),
    inference(avatar_split_clause,[],[f99,f353,f1025]) ).

fof(f99,axiom,
    ( ~ hskp19
    | ~ c1_1(a36) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f1019,plain,
    ( ~ spl35_93
    | spl35_159 ),
    inference(avatar_split_clause,[],[f79,f1016,f670]) ).

fof(f79,axiom,
    ( c2_1(a6)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f1001,plain,
    ( ~ spl35_93
    | spl35_155 ),
    inference(avatar_split_clause,[],[f78,f998,f670]) ).

fof(f78,axiom,
    ( c0_1(a6)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f996,plain,
    ( spl35_82
    | ~ spl35_130
    | ~ spl35_32
    | ~ spl35_4 ),
    inference(avatar_split_clause,[],[f198,f269,f392,f862,f622]) ).

fof(f862,plain,
    ( spl35_130
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_130])]) ).

fof(f392,plain,
    ( spl35_32
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_32])]) ).

fof(f198,plain,
    ! [X1] :
      ( ~ ndr1_0
      | ~ sP5
      | ~ sP6
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X1) ),
    inference(general_splitting,[],[f196,f197_D]) ).

fof(f197,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | sP6 ),
    inference(cnf_transformation,[],[f197_D]) ).

fof(f197_D,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
  <=> ~ sP6 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP6])]) ).

fof(f196,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ sP5 ),
    inference(general_splitting,[],[f184,f195_D]) ).

fof(f195,plain,
    ! [X2] :
      ( ~ c1_1(X2)
      | ~ c2_1(X2)
      | sP5
      | ~ c0_1(X2) ),
    inference(cnf_transformation,[],[f195_D]) ).

fof(f195_D,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c2_1(X2)
        | ~ c0_1(X2) )
  <=> ~ sP5 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).

fof(f184,axiom,
    ! [X2,X0,X1] :
      ( ~ c0_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f991,plain,
    ( spl35_76
    | spl35_14
    | spl35_43 ),
    inference(avatar_split_clause,[],[f37,f438,f312,f590]) ).

fof(f37,axiom,
    ( hskp30
    | hskp2
    | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f985,plain,
    ( spl35_129
    | spl35_65 ),
    inference(avatar_split_clause,[],[f193,f541,f854]) ).

fof(f854,plain,
    ( spl35_129
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_129])]) ).

fof(f193,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ c2_1(X0)
      | sP4
      | c1_1(X0) ),
    inference(cnf_transformation,[],[f193_D]) ).

fof(f193_D,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
  <=> ~ sP4 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).

fof(f983,plain,
    ( ~ spl35_152
    | ~ spl35_25 ),
    inference(avatar_split_clause,[],[f104,f361,f980]) ).

fof(f361,plain,
    ( spl35_25
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_25])]) ).

fof(f104,axiom,
    ( ~ hskp17
    | ~ c0_1(a32) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f978,plain,
    ( ~ spl35_25
    | ~ spl35_151 ),
    inference(avatar_split_clause,[],[f105,f975,f361]) ).

fof(f105,axiom,
    ( ~ c2_1(a32)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f973,plain,
    ( ~ spl35_150
    | ~ spl35_108 ),
    inference(avatar_split_clause,[],[f123,f742,f970]) ).

fof(f123,axiom,
    ( ~ hskp8
    | ~ c3_1(a11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f967,plain,
    ( ~ spl35_149
    | ~ spl35_3 ),
    inference(avatar_split_clause,[],[f121,f265,f964]) ).

fof(f121,axiom,
    ( ~ hskp9
    | ~ c2_1(a12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f962,plain,
    ( ~ spl35_42
    | spl35_148 ),
    inference(avatar_split_clause,[],[f52,f959,f434]) ).

fof(f52,axiom,
    ( c2_1(a10)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f957,plain,
    ( ~ spl35_147
    | ~ spl35_21 ),
    inference(avatar_split_clause,[],[f90,f344,f954]) ).

fof(f90,axiom,
    ( ~ hskp26
    | ~ c3_1(a92) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f951,plain,
    ( ~ spl35_4
    | ~ spl35_119
    | ~ spl35_145
    | spl35_146 ),
    inference(avatar_split_clause,[],[f234,f949,f945,f798,f269]) ).

fof(f798,plain,
    ( spl35_119
  <=> sP24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_119])]) ).

fof(f234,plain,
    ! [X1] :
      ( c1_1(X1)
      | c3_1(X1)
      | ~ sP23
      | ~ c2_1(X1)
      | ~ sP24
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f232,f233_D]) ).

fof(f233,plain,
    ! [X0] :
      ( c2_1(X0)
      | ~ c0_1(X0)
      | sP24
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f233_D]) ).

fof(f233_D,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
  <=> ~ sP24 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP24])]) ).

fof(f232,plain,
    ! [X0,X1] :
      ( ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X1)
      | ~ sP23 ),
    inference(general_splitting,[],[f181,f231_D]) ).

fof(f181,axiom,
    ! [X2,X0,X1] :
      ( ~ c2_1(X1)
      | c0_1(X2)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | c2_1(X0)
      | ~ c1_1(X2)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f943,plain,
    ( ~ spl35_143
    | ~ spl35_4
    | spl35_6
    | spl35_144 ),
    inference(avatar_split_clause,[],[f210,f941,f276,f269,f937]) ).

fof(f276,plain,
    ( spl35_6
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_6])]) ).

fof(f210,plain,
    ! [X1] :
      ( c3_1(X1)
      | hskp3
      | ~ ndr1_0
      | ~ sP12
      | c0_1(X1)
      | ~ c2_1(X1) ),
    inference(general_splitting,[],[f165,f209_D]) ).

fof(f165,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | hskp3
      | c3_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f935,plain,
    ( spl35_76
    | spl35_8
    | spl35_21 ),
    inference(avatar_split_clause,[],[f41,f344,f285,f590]) ).

fof(f41,axiom,
    ( hskp26
    | hskp7
    | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f930,plain,
    ( ~ spl35_13
    | spl35_141 ),
    inference(avatar_split_clause,[],[f57,f927,f308]) ).

fof(f57,axiom,
    ( c0_1(a58)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f915,plain,
    ( spl35_37
    | ~ spl35_86
    | ~ spl35_4
    | spl35_83 ),
    inference(avatar_split_clause,[],[f222,f626,f269,f639,f413]) ).

fof(f639,plain,
    ( spl35_86
  <=> sP18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_86])]) ).

fof(f222,plain,
    ! [X1] :
      ( c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ sP18
      | hskp0 ),
    inference(general_splitting,[],[f168,f221_D]) ).

fof(f221,plain,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0)
      | sP18 ),
    inference(cnf_transformation,[],[f221_D]) ).

fof(f221_D,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
  <=> ~ sP18 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP18])]) ).

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

fof(f914,plain,
    ( spl35_138
    | ~ spl35_6 ),
    inference(avatar_split_clause,[],[f82,f276,f911]) ).

fof(f82,axiom,
    ( ~ hskp3
    | c3_1(a4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f909,plain,
    ( spl35_41
    | spl35_79 ),
    inference(avatar_split_clause,[],[f203,f606,f430]) ).

fof(f606,plain,
    ( spl35_79
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_79])]) ).

fof(f203,plain,
    ! [X0] :
      ( sP9
      | c3_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    inference(cnf_transformation,[],[f203_D]) ).

fof(f203_D,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
  <=> ~ sP9 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP9])]) ).

fof(f908,plain,
    ( spl35_53
    | spl35_73 ),
    inference(avatar_split_clause,[],[f245,f577,f484]) ).

fof(f484,plain,
    ( spl35_53
  <=> sP30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_53])]) ).

fof(f245,plain,
    ! [X2] :
      ( ~ c2_1(X2)
      | c0_1(X2)
      | ~ c3_1(X2)
      | sP30 ),
    inference(cnf_transformation,[],[f245_D]) ).

fof(f245_D,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) )
  <=> ~ sP30 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP30])]) ).

fof(f905,plain,
    ( ~ spl35_137
    | ~ spl35_23 ),
    inference(avatar_split_clause,[],[f101,f353,f902]) ).

fof(f101,axiom,
    ( ~ hskp19
    | ~ c3_1(a36) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f897,plain,
    ( ~ spl35_122
    | ~ spl35_4
    | spl35_48
    | spl35_2 ),
    inference(avatar_split_clause,[],[f208,f260,f461,f269,f815]) ).

fof(f815,plain,
    ( spl35_122
  <=> sP11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_122])]) ).

fof(f208,plain,
    ! [X1] :
      ( hskp29
      | ~ c0_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ sP11
      | c1_1(X1) ),
    inference(general_splitting,[],[f175,f207_D]) ).

fof(f207,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ c0_1(X0)
      | sP11
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f207_D]) ).

fof(f207_D,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
  <=> ~ sP11 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP11])]) ).

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

fof(f891,plain,
    ( spl35_80
    | ~ spl35_4
    | spl35_41
    | spl35_14 ),
    inference(avatar_split_clause,[],[f149,f312,f430,f269,f612]) ).

fof(f149,axiom,
    ! [X0] :
      ( hskp2
      | c3_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f889,plain,
    ( ~ spl35_135
    | ~ spl35_76 ),
    inference(avatar_split_clause,[],[f103,f590,f886]) ).

fof(f103,axiom,
    ( ~ hskp18
    | ~ c2_1(a34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f884,plain,
    ( spl35_131
    | spl35_134 ),
    inference(avatar_split_clause,[],[f185,f881,f866]) ).

fof(f879,plain,
    ( spl35_133
    | ~ spl35_42 ),
    inference(avatar_split_clause,[],[f53,f434,f876]) ).

fof(f53,axiom,
    ( ~ hskp27
    | c3_1(a10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f873,plain,
    ( ~ spl35_51
    | spl35_132 ),
    inference(avatar_split_clause,[],[f49,f870,f474]) ).

fof(f49,axiom,
    ( c1_1(a15)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f868,plain,
    ( spl35_130
    | spl35_131 ),
    inference(avatar_split_clause,[],[f197,f866,f862]) ).

fof(f860,plain,
    ( spl35_35
    | spl35_14
    | spl35_89 ),
    inference(avatar_split_clause,[],[f35,f652,f312,f404]) ).

fof(f652,plain,
    ( spl35_89
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_89])]) ).

fof(f35,axiom,
    ( hskp25
    | hskp2
    | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f857,plain,
    ( ~ spl35_129
    | spl35_22
    | ~ spl35_4
    | spl35_83 ),
    inference(avatar_split_clause,[],[f194,f626,f269,f349,f854]) ).

fof(f194,plain,
    ! [X1] :
      ( c1_1(X1)
      | ~ ndr1_0
      | hskp22
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ sP4 ),
    inference(general_splitting,[],[f167,f193_D]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | c2_1(X1)
      | hskp22
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f852,plain,
    ( spl35_128
    | spl35_55 ),
    inference(avatar_split_clause,[],[f251,f492,f849]) ).

fof(f847,plain,
    ( spl35_4
    | ~ spl35_76 ),
    inference(avatar_split_clause,[],[f14,f590,f269]) ).

fof(f14,axiom,
    ( ~ hskp18
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).

fof(f838,plain,
    ( ~ spl35_52
    | ~ spl35_4
    | spl35_55
    | spl35_92 ),
    inference(avatar_split_clause,[],[f192,f665,f492,f269,f479]) ).

fof(f479,plain,
    ( spl35_52
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_52])]) ).

fof(f665,plain,
    ( spl35_92
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_92])]) ).

fof(f192,plain,
    ! [X1] :
      ( hskp13
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ sP3 ),
    inference(general_splitting,[],[f170,f191_D]) ).

fof(f191,plain,
    ! [X0] :
      ( c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0)
      | sP3 ),
    inference(cnf_transformation,[],[f191_D]) ).

fof(f191_D,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
  <=> ~ sP3 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).

fof(f170,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X1)
      | c1_1(X1)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | c3_1(X0)
      | ~ c0_1(X0)
      | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f837,plain,
    ( ~ spl35_126
    | ~ spl35_89 ),
    inference(avatar_split_clause,[],[f91,f652,f834]) ).

fof(f91,axiom,
    ( ~ hskp25
    | ~ c2_1(a64) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f830,plain,
    ( ~ spl35_42
    | spl35_125 ),
    inference(avatar_split_clause,[],[f51,f827,f434]) ).

fof(f51,axiom,
    ( c1_1(a10)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f821,plain,
    ( spl35_122
    | spl35_123 ),
    inference(avatar_split_clause,[],[f207,f819,f815]) ).

fof(f806,plain,
    ( ~ spl35_120
    | ~ spl35_6 ),
    inference(avatar_split_clause,[],[f131,f276,f803]) ).

fof(f131,axiom,
    ( ~ hskp3
    | ~ c1_1(a4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f801,plain,
    ( spl35_119
    | spl35_24 ),
    inference(avatar_split_clause,[],[f233,f357,f798]) ).

fof(f796,plain,
    ( ~ spl35_15
    | spl35_118 ),
    inference(avatar_split_clause,[],[f59,f793,f316]) ).

fof(f59,axiom,
    ( c0_1(a52)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f786,plain,
    ( spl35_3
    | spl35_51
    | spl35_8 ),
    inference(avatar_split_clause,[],[f34,f285,f474,f265]) ).

fof(f34,axiom,
    ( hskp7
    | hskp28
    | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f785,plain,
    ( spl35_116
    | ~ spl35_37 ),
    inference(avatar_split_clause,[],[f88,f413,f782]) ).

fof(f88,axiom,
    ( ~ hskp0
    | c2_1(a1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f779,plain,
    ( spl35_115
    | ~ spl35_89 ),
    inference(avatar_split_clause,[],[f56,f652,f776]) ).

fof(f56,axiom,
    ( ~ hskp25
    | c3_1(a64) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f774,plain,
    ( ~ spl35_114
    | ~ spl35_29 ),
    inference(avatar_split_clause,[],[f127,f379,f771]) ).

fof(f379,plain,
    ( spl35_29
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_29])]) ).

fof(f127,axiom,
    ( ~ hskp6
    | ~ c3_1(a8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f760,plain,
    ( ~ spl35_108
    | spl35_111 ),
    inference(avatar_split_clause,[],[f75,f757,f742]) ).

fof(f75,axiom,
    ( c2_1(a11)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f754,plain,
    ( ~ spl35_110
    | ~ spl35_10 ),
    inference(avatar_split_clause,[],[f133,f294,f751]) ).

fof(f133,axiom,
    ( ~ hskp1
    | ~ c2_1(a2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f749,plain,
    ( ~ spl35_108
    | spl35_109 ),
    inference(avatar_split_clause,[],[f74,f746,f742]) ).

fof(f74,axiom,
    ( c1_1(a11)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f740,plain,
    ( spl35_107
    | ~ spl35_14 ),
    inference(avatar_split_clause,[],[f84,f312,f737]) ).

fof(f84,axiom,
    ( ~ hskp2
    | c2_1(a3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f735,plain,
    ( ~ spl35_6
    | ~ spl35_106 ),
    inference(avatar_split_clause,[],[f130,f732,f276]) ).

fof(f130,axiom,
    ( ~ c0_1(a4)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f717,plain,
    ( ~ spl35_102
    | ~ spl35_8 ),
    inference(avatar_split_clause,[],[f124,f285,f714]) ).

fof(f124,axiom,
    ( ~ hskp7
    | ~ c0_1(a9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f712,plain,
    ( ~ spl35_3
    | spl35_101 ),
    inference(avatar_split_clause,[],[f73,f709,f265]) ).

fof(f73,axiom,
    ( c1_1(a12)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f707,plain,
    ( ~ spl35_100
    | ~ spl35_92 ),
    inference(avatar_split_clause,[],[f113,f665,f704]) ).

fof(f113,axiom,
    ( ~ hskp13
    | ~ c2_1(a22) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f702,plain,
    ( ~ spl35_4
    | ~ spl35_30
    | spl35_98
    | ~ spl35_99 ),
    inference(avatar_split_clause,[],[f220,f699,f696,f384,f269]) ).

fof(f384,plain,
    ( spl35_30
  <=> sP16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_30])]) ).

fof(f220,plain,
    ! [X1] :
      ( ~ sP17
      | ~ c2_1(X1)
      | ~ sP16
      | ~ ndr1_0
      | c0_1(X1)
      | ~ c1_1(X1) ),
    inference(general_splitting,[],[f218,f219_D]) ).

fof(f218,plain,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | c3_1(X0)
      | ~ sP16 ),
    inference(general_splitting,[],[f180,f217_D]) ).

fof(f217,plain,
    ! [X2] :
      ( ~ c1_1(X2)
      | c0_1(X2)
      | c2_1(X2)
      | sP16 ),
    inference(cnf_transformation,[],[f217_D]) ).

fof(f217_D,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | c2_1(X2) )
  <=> ~ sP16 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP16])]) ).

fof(f180,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c2_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | c2_1(X2)
      | ~ c1_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f682,plain,
    ( spl35_95
    | ~ spl35_43 ),
    inference(avatar_split_clause,[],[f42,f438,f679]) ).

fof(f42,axiom,
    ( ~ hskp30
    | c0_1(a33) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f677,plain,
    ( ~ spl35_93
    | ~ spl35_94 ),
    inference(avatar_split_clause,[],[f128,f674,f670]) ).

fof(f128,axiom,
    ( ~ c3_1(a6)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f668,plain,
    ( ~ spl35_91
    | ~ spl35_92 ),
    inference(avatar_split_clause,[],[f112,f665,f661]) ).

fof(f112,axiom,
    ( ~ hskp13
    | ~ c0_1(a22) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f659,plain,
    ( ~ spl35_89
    | spl35_90 ),
    inference(avatar_split_clause,[],[f55,f656,f652]) ).

fof(f55,axiom,
    ( c1_1(a64)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f650,plain,
    ( spl35_87
    | ~ spl35_88
    | ~ spl35_4
    | spl35_6 ),
    inference(avatar_split_clause,[],[f200,f276,f269,f647,f644]) ).

fof(f200,plain,
    ! [X1] :
      ( hskp3
      | ~ ndr1_0
      | ~ sP7
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X1) ),
    inference(general_splitting,[],[f161,f199_D]) ).

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

fof(f642,plain,
    ( spl35_86
    | spl35_12 ),
    inference(avatar_split_clause,[],[f221,f303,f639]) ).

fof(f637,plain,
    ( spl35_85
    | spl35_54 ),
    inference(avatar_split_clause,[],[f247,f488,f635]) ).

fof(f488,plain,
    ( spl35_54
  <=> sP31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_54])]) ).

fof(f247,plain,
    ! [X0] :
      ( sP31
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f247_D]) ).

fof(f247_D,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
  <=> ~ sP31 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP31])]) ).

fof(f632,plain,
    ( ~ spl35_4
    | spl35_83
    | ~ spl35_84
    | spl35_2 ),
    inference(avatar_split_clause,[],[f236,f260,f629,f626,f269]) ).

fof(f236,plain,
    ! [X1] :
      ( hskp29
      | ~ sP25
      | ~ c3_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | c1_1(X1) ),
    inference(general_splitting,[],[f174,f235_D]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X1)
      | hskp29
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f624,plain,
    ( spl35_71
    | spl35_82 ),
    inference(avatar_split_clause,[],[f243,f622,f568]) ).

fof(f568,plain,
    ( spl35_71
  <=> sP29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_71])]) ).

fof(f243,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | sP29
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f243_D]) ).

fof(f243_D,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
  <=> ~ sP29 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP29])]) ).

fof(f620,plain,
    ( ~ spl35_17
    | spl35_22
    | ~ spl35_4
    | spl35_41 ),
    inference(avatar_split_clause,[],[f224,f430,f269,f349,f326]) ).

fof(f326,plain,
    ( spl35_17
  <=> sP19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl35_17])]) ).

fof(f224,plain,
    ! [X1] :
      ( c3_1(X1)
      | ~ ndr1_0
      | hskp22
      | ~ c0_1(X1)
      | c2_1(X1)
      | ~ sP19 ),
    inference(general_splitting,[],[f166,f223_D]) ).

fof(f223,plain,
    ! [X0] :
      ( c3_1(X0)
      | sP19
      | ~ c1_1(X0)
      | c2_1(X0) ),
    inference(cnf_transformation,[],[f223_D]) ).

fof(f223_D,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
  <=> ~ sP19 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP19])]) ).

fof(f166,axiom,
    ! [X0,X1] :
      ( c3_1(X1)
      | hskp22
      | c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0)
      | c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f619,plain,
    ( ~ spl35_80
    | spl35_81 ),
    inference(avatar_split_clause,[],[f80,f616,f612]) ).

fof(f80,axiom,
    ( c2_1(a5)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f609,plain,
    ( ~ spl35_4
    | spl35_14
    | ~ spl35_79
    | spl35_38 ),
    inference(avatar_split_clause,[],[f204,f417,f606,f312,f269]) ).

fof(f204,plain,
    ! [X1] :
      ( c1_1(X1)
      | c0_1(X1)
      | ~ sP9
      | c2_1(X1)
      | hskp2
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f158,f203_D]) ).

fof(f158,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | ~ c0_1(X0)
      | c2_1(X1)
      | hskp2
      | ~ ndr1_0
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f604,plain,
    ( ~ spl35_4
    | ~ spl35_78
    | spl35_29
    | spl35_31 ),
    inference(avatar_split_clause,[],[f206,f388,f379,f601,f269]) ).

fof(f206,plain,
    ! [X1] :
      ( c0_1(X1)
      | hskp6
      | ~ c1_1(X1)
      | ~ sP10
      | c2_1(X1)
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f162,f205_D]) ).

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

fof(f599,plain,
    ( spl35_77
    | ~ spl35_43 ),
    inference(avatar_split_clause,[],[f44,f438,f596]) ).

fof(f44,axiom,
    ( ~ hskp30
    | c3_1(a33) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f593,plain,
    ( ~ spl35_75
    | ~ spl35_76 ),
    inference(avatar_split_clause,[],[f102,f590,f586]) ).

fof(f102,axiom,
    ( ~ hskp18
    | ~ c1_1(a34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f574,plain,
    ( ~ spl35_4
    | ~ spl35_70
    | ~ spl35_71
    | spl35_72 ),
    inference(avatar_split_clause,[],[f244,f572,f568,f564,f269]) ).

fof(f244,plain,
    ! [X1] :
      ( ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ sP29
      | ~ sP28
      | ~ ndr1_0
      | c2_1(X1) ),
    inference(general_splitting,[],[f242,f243_D]) ).

fof(f242,plain,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ sP28 ),
    inference(general_splitting,[],[f183,f241_D]) ).

fof(f183,axiom,
    ! [X2,X0,X1] :
      ( ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | c1_1(X2)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X2)
      | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f553,plain,
    ( spl35_67
    | ~ spl35_25 ),
    inference(avatar_split_clause,[],[f66,f361,f550]) ).

fof(f66,axiom,
    ( ~ hskp17
    | c3_1(a32) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f520,plain,
    ( ~ spl35_60
    | ~ spl35_14 ),
    inference(avatar_split_clause,[],[f132,f312,f517]) ).

fof(f132,axiom,
    ( ~ hskp2
    | ~ c1_1(a3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f509,plain,
    ( ~ spl35_58
    | ~ spl35_22 ),
    inference(avatar_split_clause,[],[f95,f349,f506]) ).

fof(f95,axiom,
    ( ~ hskp22
    | ~ c1_1(a43) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f500,plain,
    ( ~ spl35_15
    | ~ spl35_56 ),
    inference(avatar_split_clause,[],[f93,f497,f316]) ).

fof(f93,axiom,
    ( ~ c1_1(a52)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f494,plain,
    ( ~ spl35_4
    | ~ spl35_53
    | ~ spl35_54
    | spl35_55 ),
    inference(avatar_split_clause,[],[f248,f492,f488,f484,f269]) ).

fof(f248,plain,
    ! [X1] :
      ( c1_1(X1)
      | ~ c2_1(X1)
      | ~ sP31
      | ~ sP30
      | ~ c0_1(X1)
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f246,f247_D]) ).

fof(f246,plain,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ c0_1(X1)
      | ~ sP30 ),
    inference(general_splitting,[],[f182,f245_D]) ).

fof(f182,axiom,
    ! [X2,X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c0_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ c3_1(X2)
      | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f482,plain,
    ( spl35_52
    | spl35_41 ),
    inference(avatar_split_clause,[],[f191,f430,f479]) ).

fof(f477,plain,
    ( spl35_50
    | ~ spl35_51 ),
    inference(avatar_split_clause,[],[f48,f474,f470]) ).

fof(f48,axiom,
    ( ~ hskp28
    | c0_1(a15) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f468,plain,
    ( ~ spl35_29
    | ~ spl35_49 ),
    inference(avatar_split_clause,[],[f126,f465,f379]) ).

fof(f126,axiom,
    ( ~ c2_1(a8)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f446,plain,
    ( spl35_44
    | ~ spl35_2 ),
    inference(avatar_split_clause,[],[f47,f260,f443]) ).

fof(f47,axiom,
    ( ~ hskp29
    | c2_1(a25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f441,plain,
    ( spl35_42
    | spl35_25
    | spl35_43 ),
    inference(avatar_split_clause,[],[f39,f438,f361,f434]) ).

fof(f39,axiom,
    ( hskp30
    | hskp17
    | hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f424,plain,
    ( ~ spl35_37
    | spl35_39 ),
    inference(avatar_split_clause,[],[f87,f421,f413]) ).

fof(f87,axiom,
    ( c1_1(a1)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f407,plain,
    ( ~ spl35_34
    | ~ spl35_35 ),
    inference(avatar_split_clause,[],[f108,f404,f400]) ).

fof(f108,axiom,
    ( ~ hskp15
    | ~ c2_1(a27) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f398,plain,
    ( spl35_32
    | spl35_33 ),
    inference(avatar_split_clause,[],[f195,f396,f392]) ).

fof(f390,plain,
    ( spl35_30
    | spl35_31 ),
    inference(avatar_split_clause,[],[f217,f388,f384]) ).

fof(f382,plain,
    ( spl35_28
    | ~ spl35_29 ),
    inference(avatar_split_clause,[],[f77,f379,f375]) ).

fof(f77,axiom,
    ( ~ hskp6
    | c0_1(a8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f347,plain,
    ( spl35_20
    | ~ spl35_21 ),
    inference(avatar_split_clause,[],[f54,f344,f340]) ).

fof(f54,axiom,
    ( ~ hskp26
    | c2_1(a92) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f332,plain,
    ( spl35_17
    | spl35_18 ),
    inference(avatar_split_clause,[],[f223,f330,f326]) ).

fof(f319,plain,
    ( spl35_13
    | spl35_14
    | spl35_15 ),
    inference(avatar_split_clause,[],[f40,f316,f312,f308]) ).

fof(f40,axiom,
    ( hskp23
    | hskp2
    | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f306,plain,
    ( ~ spl35_8
    | spl35_4 ),
    inference(avatar_split_clause,[],[f25,f269,f285]) ).

fof(f25,axiom,
    ( ndr1_0
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).

fof(f297,plain,
    ( spl35_9
    | ~ spl35_10 ),
    inference(avatar_split_clause,[],[f86,f294,f290]) ).

fof(f86,axiom,
    ( ~ hskp1
    | c3_1(a2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f288,plain,
    ( spl35_7
    | ~ spl35_8 ),
    inference(avatar_split_clause,[],[f76,f285,f281]) ).

fof(f76,axiom,
    ( ~ hskp7
    | c1_1(a9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f263,plain,
    ( spl35_1
    | ~ spl35_2 ),
    inference(avatar_split_clause,[],[f45,f260,f256]) ).

fof(f45,axiom,
    ( ~ hskp29
    | c0_1(a25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : SYN443-1 : TPTP v8.1.0. Released v2.1.0.
% 0.08/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 22:09:51 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  % (26234)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.48  % (26226)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)
% 0.21/0.49  % (26218)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.50  % (26218)Instruction limit reached!
% 0.21/0.50  % (26218)------------------------------
% 0.21/0.50  % (26218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (26218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (26218)Termination reason: Unknown
% 0.21/0.50  % (26218)Termination phase: Blocked clause elimination
% 0.21/0.50  
% 0.21/0.50  % (26218)Memory used [KB]: 1151
% 0.21/0.50  % (26218)Time elapsed: 0.004 s
% 0.21/0.50  % (26218)Instructions burned: 4 (million)
% 0.21/0.50  % (26218)------------------------------
% 0.21/0.50  % (26218)------------------------------
% 0.21/0.51  % (26210)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)
% 0.21/0.52  % (26221)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)
% 0.21/0.52  % (26220)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53  % (26214)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53  % (26222)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.53  % (26232)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)
% 0.21/0.53  % (26235)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.53  % (26224)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)
% 0.21/0.53  % (26213)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)
% 0.21/0.53  % (26211)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)
% 0.21/0.53  % (26215)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)
% 0.21/0.53  Detected maximum model sizes of [31]
% 0.21/0.54  % (26212)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)
% 0.21/0.54  % (26225)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)
% 0.21/0.54  % (26223)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54  % (26216)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)
% 0.21/0.54  % (26217)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.54  % (26227)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.54  TRYING [1]
% 0.21/0.54  TRYING [2]
% 0.21/0.54  TRYING [3]
% 0.21/0.54  % (26233)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)
% 0.21/0.54  % (26236)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)
% 0.21/0.54  % (26238)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.55  % (26239)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)
% 0.21/0.55  % (26219)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)
% 0.21/0.55  % (26237)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)
% 0.21/0.55  TRYING [4]
% 0.21/0.55  Detected maximum model sizes of [31]
% 0.21/0.55  TRYING [1]
% 0.21/0.55  TRYING [2]
% 0.21/0.55  % (26217)Instruction limit reached!
% 0.21/0.55  % (26217)------------------------------
% 0.21/0.55  % (26217)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (26228)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.55  % (26217)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (26217)Termination reason: Unknown
% 0.21/0.55  % (26217)Termination phase: Saturation
% 0.21/0.55  
% 0.21/0.55  % (26217)Memory used [KB]: 6012
% 0.21/0.55  % (26217)Time elapsed: 0.151 s
% 0.21/0.55  % (26217)Instructions burned: 7 (million)
% 0.21/0.55  % (26217)------------------------------
% 0.21/0.55  % (26217)------------------------------
% 0.21/0.55  % (26229)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)
% 0.21/0.55  % (26231)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.56  % (26230)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)
% 0.21/0.56  TRYING [3]
% 0.21/0.57  Detected maximum model sizes of [31]
% 0.21/0.57  TRYING [1]
% 0.21/0.57  TRYING [2]
% 0.21/0.57  TRYING [4]
% 0.21/0.57  TRYING [3]
% 0.21/0.58  TRYING [4]
% 0.21/0.58  TRYING [5]
% 1.66/0.59  % (26220)First to succeed.
% 1.66/0.60  TRYING [5]
% 1.66/0.61  % (26216)Instruction limit reached!
% 1.66/0.61  % (26216)------------------------------
% 1.66/0.61  % (26216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.61  % (26216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.61  % (26216)Termination reason: Unknown
% 1.66/0.61  % (26216)Termination phase: Finite model building SAT solving
% 1.66/0.61  
% 1.66/0.61  % (26216)Memory used [KB]: 6140
% 1.66/0.61  % (26216)Time elapsed: 0.166 s
% 1.66/0.61  % (26216)Instructions burned: 51 (million)
% 1.66/0.61  % (26216)------------------------------
% 1.66/0.61  % (26216)------------------------------
% 1.88/0.61  % (26211)Instruction limit reached!
% 1.88/0.61  % (26211)------------------------------
% 1.88/0.61  % (26211)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.62  % (26212)Instruction limit reached!
% 1.88/0.62  % (26212)------------------------------
% 1.88/0.62  % (26212)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.62  % (26212)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.88/0.62  % (26212)Termination reason: Unknown
% 1.88/0.62  % (26212)Termination phase: Saturation
% 1.88/0.62  
% 1.88/0.62  % (26212)Memory used [KB]: 1279
% 1.88/0.62  % (26212)Time elapsed: 0.193 s
% 1.88/0.62  % (26212)Instructions burned: 37 (million)
% 1.88/0.62  % (26212)------------------------------
% 1.88/0.62  % (26212)------------------------------
% 1.88/0.62  TRYING [5]
% 1.88/0.62  % (26215)Instruction limit reached!
% 1.88/0.62  % (26215)------------------------------
% 1.88/0.62  % (26215)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.62  % (26213)Also succeeded, but the first one will report.
% 1.88/0.62  % (26227)Instruction limit reached!
% 1.88/0.62  % (26227)------------------------------
% 1.88/0.62  % (26227)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.62  % (26211)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.88/0.62  % (26211)Termination reason: Unknown
% 1.88/0.62  % (26211)Termination phase: Saturation
% 1.88/0.62  
% 1.88/0.62  % (26211)Memory used [KB]: 6524
% 1.88/0.62  % (26211)Time elapsed: 0.200 s
% 1.88/0.62  % (26211)Instructions burned: 50 (million)
% 1.88/0.62  % (26211)------------------------------
% 1.88/0.62  % (26211)------------------------------
% 1.88/0.62  % (26221)Also succeeded, but the first one will report.
% 1.88/0.62  % (26220)Refutation found. Thanks to Tanya!
% 1.88/0.62  % SZS status Unsatisfiable for theBenchmark
% 1.88/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 1.88/0.63  % (26220)------------------------------
% 1.88/0.63  % (26220)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.63  % (26220)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.88/0.63  % (26220)Termination reason: Refutation
% 1.88/0.63  
% 1.88/0.63  % (26220)Memory used [KB]: 6652
% 1.88/0.63  % (26220)Time elapsed: 0.182 s
% 1.88/0.63  % (26220)Instructions burned: 29 (million)
% 1.88/0.63  % (26220)------------------------------
% 1.88/0.63  % (26220)------------------------------
% 1.88/0.63  % (26209)Success in time 0.264 s
%------------------------------------------------------------------------------