TSTP Solution File: SYN506+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN506+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 : n007.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 19:38:37 EDT 2022

% Result   : Theorem 1.45s 0.64s
% Output   : Refutation 1.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :  202
% Syntax   : Number of formulae    :  759 (   1 unt;   0 def)
%            Number of atoms       : 7878 (   0 equ)
%            Maximal formula atoms :  759 (  10 avg)
%            Number of connectives : 10708 (3589   ~;5049   |;1365   &)
%                                         ( 201 <=>; 504  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  118 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  236 ( 235 usr; 232 prp; 0-1 aty)
%            Number of functors    :   29 (  29 usr;  29 con; 0-0 aty)
%            Number of variables   : 1125 (1125   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2407,plain,
    $false,
    inference(avatar_sat_refutation,[],[f376,f402,f427,f452,f461,f483,f492,f500,f509,f522,f534,f548,f562,f567,f571,f580,f589,f602,f611,f620,f629,f639,f652,f657,f662,f667,f696,f705,f710,f718,f723,f728,f733,f738,f743,f747,f767,f768,f778,f796,f801,f814,f822,f827,f850,f855,f856,f866,f876,f877,f882,f887,f894,f899,f900,f918,f919,f929,f934,f939,f944,f956,f957,f958,f963,f981,f982,f987,f991,f1010,f1015,f1020,f1022,f1027,f1033,f1038,f1044,f1049,f1055,f1061,f1062,f1068,f1069,f1074,f1079,f1093,f1098,f1103,f1108,f1113,f1114,f1119,f1120,f1126,f1139,f1142,f1159,f1160,f1161,f1166,f1171,f1176,f1181,f1186,f1191,f1197,f1202,f1208,f1216,f1221,f1226,f1244,f1256,f1266,f1274,f1279,f1285,f1286,f1293,f1294,f1295,f1301,f1302,f1307,f1312,f1313,f1314,f1315,f1316,f1317,f1323,f1328,f1330,f1335,f1337,f1342,f1347,f1348,f1349,f1358,f1363,f1369,f1374,f1375,f1376,f1377,f1378,f1383,f1384,f1386,f1387,f1392,f1393,f1398,f1420,f1421,f1425,f1430,f1456,f1461,f1494,f1515,f1520,f1527,f1528,f1543,f1577,f1588,f1614,f1616,f1636,f1637,f1642,f1643,f1672,f1714,f1716,f1733,f1736,f1737,f1739,f1741,f1772,f1773,f1774,f1799,f1806,f1807,f1812,f1936,f1954,f1967,f1968,f1970,f2011,f2045,f2046,f2077,f2081,f2097,f2127,f2152,f2153,f2207,f2211,f2301,f2302,f2303,f2304,f2306,f2312,f2329,f2331,f2379,f2404]) ).

fof(f2404,plain,
    ( spl55_98
    | ~ spl55_187
    | spl55_163
    | ~ spl55_168 ),
    inference(avatar_split_clause,[],[f2394,f1164,f1136,f1276,f793]) ).

fof(f793,plain,
    ( spl55_98
  <=> c0_1(a330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_98])]) ).

fof(f1276,plain,
    ( spl55_187
  <=> c3_1(a330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_187])]) ).

fof(f1136,plain,
    ( spl55_163
  <=> c1_1(a330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_163])]) ).

fof(f1164,plain,
    ( spl55_168
  <=> ! [X91] :
        ( c1_1(X91)
        | c0_1(X91)
        | ~ c3_1(X91) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_168])]) ).

fof(f2394,plain,
    ( ~ c3_1(a330)
    | c0_1(a330)
    | spl55_163
    | ~ spl55_168 ),
    inference(resolution,[],[f1165,f1138]) ).

fof(f1138,plain,
    ( ~ c1_1(a330)
    | spl55_163 ),
    inference(avatar_component_clause,[],[f1136]) ).

fof(f1165,plain,
    ( ! [X91] :
        ( c1_1(X91)
        | c0_1(X91)
        | ~ c3_1(X91) )
    | ~ spl55_168 ),
    inference(avatar_component_clause,[],[f1164]) ).

fof(f2379,plain,
    ( spl55_137
    | ~ spl55_130
    | ~ spl55_162 ),
    inference(avatar_split_clause,[],[f2378,f1132,f965,f999]) ).

fof(f999,plain,
    ( spl55_137
  <=> ! [X33] :
        ( c3_1(X33)
        | c0_1(X33)
        | ~ c2_1(X33) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_137])]) ).

fof(f965,plain,
    ( spl55_130
  <=> ! [X18] :
        ( c3_1(X18)
        | c0_1(X18)
        | ~ c1_1(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_130])]) ).

fof(f1132,plain,
    ( spl55_162
  <=> ! [X123] :
        ( ~ c2_1(X123)
        | c1_1(X123)
        | c3_1(X123) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_162])]) ).

fof(f2378,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl55_130
    | ~ spl55_162 ),
    inference(duplicate_literal_removal,[],[f2363]) ).

fof(f2363,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl55_130
    | ~ spl55_162 ),
    inference(resolution,[],[f1133,f966]) ).

fof(f966,plain,
    ( ! [X18] :
        ( ~ c1_1(X18)
        | c0_1(X18)
        | c3_1(X18) )
    | ~ spl55_130 ),
    inference(avatar_component_clause,[],[f965]) ).

fof(f1133,plain,
    ( ! [X123] :
        ( c1_1(X123)
        | c3_1(X123)
        | ~ c2_1(X123) )
    | ~ spl55_162 ),
    inference(avatar_component_clause,[],[f1132]) ).

fof(f2331,plain,
    ( spl55_215
    | ~ spl55_177
    | ~ spl55_58
    | ~ spl55_66 ),
    inference(avatar_split_clause,[],[f2319,f645,f608,f1213,f1524]) ).

fof(f1524,plain,
    ( spl55_215
  <=> c2_1(a327) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_215])]) ).

fof(f1213,plain,
    ( spl55_177
  <=> c0_1(a327) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_177])]) ).

fof(f608,plain,
    ( spl55_58
  <=> c1_1(a327) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_58])]) ).

fof(f645,plain,
    ( spl55_66
  <=> ! [X49] :
        ( ~ c0_1(X49)
        | c2_1(X49)
        | ~ c1_1(X49) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_66])]) ).

fof(f2319,plain,
    ( ~ c0_1(a327)
    | c2_1(a327)
    | ~ spl55_58
    | ~ spl55_66 ),
    inference(resolution,[],[f646,f610]) ).

fof(f610,plain,
    ( c1_1(a327)
    | ~ spl55_58 ),
    inference(avatar_component_clause,[],[f608]) ).

fof(f646,plain,
    ( ! [X49] :
        ( ~ c1_1(X49)
        | ~ c0_1(X49)
        | c2_1(X49) )
    | ~ spl55_66 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f2329,plain,
    ( spl55_26
    | ~ spl55_66
    | ~ spl55_81 ),
    inference(avatar_split_clause,[],[f2328,f712,f645,f468]) ).

fof(f468,plain,
    ( spl55_26
  <=> ! [X35] :
        ( c2_1(X35)
        | ~ c0_1(X35)
        | c3_1(X35) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_26])]) ).

fof(f712,plain,
    ( spl55_81
  <=> ! [X26] :
        ( c2_1(X26)
        | c3_1(X26)
        | c1_1(X26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_81])]) ).

fof(f2328,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl55_66
    | ~ spl55_81 ),
    inference(duplicate_literal_removal,[],[f2317]) ).

fof(f2317,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl55_66
    | ~ spl55_81 ),
    inference(resolution,[],[f646,f713]) ).

fof(f713,plain,
    ( ! [X26] :
        ( c1_1(X26)
        | c3_1(X26)
        | c2_1(X26) )
    | ~ spl55_81 ),
    inference(avatar_component_clause,[],[f712]) ).

fof(f2312,plain,
    ( ~ spl55_159
    | ~ spl55_224
    | ~ spl55_110
    | ~ spl55_188 ),
    inference(avatar_split_clause,[],[f2311,f1282,f859,f2124,f1116]) ).

fof(f1116,plain,
    ( spl55_159
  <=> c3_1(a333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_159])]) ).

fof(f2124,plain,
    ( spl55_224
  <=> c2_1(a333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_224])]) ).

fof(f859,plain,
    ( spl55_110
  <=> ! [X8] :
        ( ~ c3_1(X8)
        | ~ c2_1(X8)
        | ~ c0_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_110])]) ).

fof(f1282,plain,
    ( spl55_188
  <=> c0_1(a333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_188])]) ).

fof(f2311,plain,
    ( ~ c2_1(a333)
    | ~ c3_1(a333)
    | ~ spl55_110
    | ~ spl55_188 ),
    inference(resolution,[],[f1284,f860]) ).

fof(f860,plain,
    ( ! [X8] :
        ( ~ c0_1(X8)
        | ~ c3_1(X8)
        | ~ c2_1(X8) )
    | ~ spl55_110 ),
    inference(avatar_component_clause,[],[f859]) ).

fof(f1284,plain,
    ( c0_1(a333)
    | ~ spl55_188 ),
    inference(avatar_component_clause,[],[f1282]) ).

fof(f2306,plain,
    ( ~ spl55_206
    | ~ spl55_80
    | ~ spl55_110
    | ~ spl55_146 ),
    inference(avatar_split_clause,[],[f2273,f1046,f859,f707,f1427]) ).

fof(f1427,plain,
    ( spl55_206
  <=> c3_1(a343) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_206])]) ).

fof(f707,plain,
    ( spl55_80
  <=> c2_1(a343) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_80])]) ).

fof(f1046,plain,
    ( spl55_146
  <=> c0_1(a343) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_146])]) ).

fof(f2273,plain,
    ( ~ c2_1(a343)
    | ~ c3_1(a343)
    | ~ spl55_110
    | ~ spl55_146 ),
    inference(resolution,[],[f860,f1048]) ).

fof(f1048,plain,
    ( c0_1(a343)
    | ~ spl55_146 ),
    inference(avatar_component_clause,[],[f1046]) ).

fof(f2304,plain,
    ( spl55_213
    | spl55_109
    | spl55_56
    | ~ spl55_81 ),
    inference(avatar_split_clause,[],[f2253,f712,f599,f852,f1500]) ).

fof(f1500,plain,
    ( spl55_213
  <=> c2_1(a348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_213])]) ).

fof(f852,plain,
    ( spl55_109
  <=> c3_1(a348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_109])]) ).

fof(f599,plain,
    ( spl55_56
  <=> c1_1(a348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_56])]) ).

fof(f2253,plain,
    ( c3_1(a348)
    | c2_1(a348)
    | spl55_56
    | ~ spl55_81 ),
    inference(resolution,[],[f713,f601]) ).

fof(f601,plain,
    ( ~ c1_1(a348)
    | spl55_56 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f2303,plain,
    ( ~ spl55_209
    | spl55_175
    | ~ spl55_135
    | spl55_203 ),
    inference(avatar_split_clause,[],[f2292,f1380,f989,f1199,f1452]) ).

fof(f1452,plain,
    ( spl55_209
  <=> c3_1(a338) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_209])]) ).

fof(f1199,plain,
    ( spl55_175
  <=> c2_1(a338) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_175])]) ).

fof(f989,plain,
    ( spl55_135
  <=> ! [X56] :
        ( ~ c3_1(X56)
        | c0_1(X56)
        | c2_1(X56) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_135])]) ).

fof(f1380,plain,
    ( spl55_203
  <=> c0_1(a338) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_203])]) ).

fof(f2292,plain,
    ( c2_1(a338)
    | ~ c3_1(a338)
    | ~ spl55_135
    | spl55_203 ),
    inference(resolution,[],[f990,f1382]) ).

fof(f1382,plain,
    ( ~ c0_1(a338)
    | spl55_203 ),
    inference(avatar_component_clause,[],[f1380]) ).

fof(f990,plain,
    ( ! [X56] :
        ( c0_1(X56)
        | c2_1(X56)
        | ~ c3_1(X56) )
    | ~ spl55_135 ),
    inference(avatar_component_clause,[],[f989]) ).

fof(f2302,plain,
    ( spl55_217
    | ~ spl55_187
    | spl55_98
    | ~ spl55_135 ),
    inference(avatar_split_clause,[],[f2289,f989,f793,f1276,f1540]) ).

fof(f1540,plain,
    ( spl55_217
  <=> c2_1(a330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_217])]) ).

fof(f2289,plain,
    ( ~ c3_1(a330)
    | c2_1(a330)
    | spl55_98
    | ~ spl55_135 ),
    inference(resolution,[],[f990,f795]) ).

fof(f795,plain,
    ( ~ c0_1(a330)
    | spl55_98 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f2301,plain,
    ( spl55_115
    | ~ spl55_142
    | ~ spl55_135
    | spl55_207 ),
    inference(avatar_split_clause,[],[f2296,f1434,f989,f1024,f884]) ).

fof(f884,plain,
    ( spl55_115
  <=> c2_1(a367) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_115])]) ).

fof(f1024,plain,
    ( spl55_142
  <=> c3_1(a367) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_142])]) ).

fof(f1434,plain,
    ( spl55_207
  <=> c0_1(a367) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_207])]) ).

fof(f2296,plain,
    ( ~ c3_1(a367)
    | c2_1(a367)
    | ~ spl55_135
    | spl55_207 ),
    inference(resolution,[],[f990,f1436]) ).

fof(f1436,plain,
    ( ~ c0_1(a367)
    | spl55_207 ),
    inference(avatar_component_clause,[],[f1434]) ).

fof(f2211,plain,
    ( ~ spl55_48
    | spl55_179
    | ~ spl55_16
    | ~ spl55_102 ),
    inference(avatar_split_clause,[],[f2209,f811,f425,f1223,f564]) ).

fof(f564,plain,
    ( spl55_48
  <=> c2_1(a355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_48])]) ).

fof(f1223,plain,
    ( spl55_179
  <=> c3_1(a355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_179])]) ).

fof(f425,plain,
    ( spl55_16
  <=> ! [X10] :
        ( ~ c1_1(X10)
        | c3_1(X10)
        | ~ c2_1(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_16])]) ).

fof(f811,plain,
    ( spl55_102
  <=> c1_1(a355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_102])]) ).

fof(f2209,plain,
    ( c3_1(a355)
    | ~ c2_1(a355)
    | ~ spl55_16
    | ~ spl55_102 ),
    inference(resolution,[],[f813,f426]) ).

fof(f426,plain,
    ( ! [X10] :
        ( ~ c1_1(X10)
        | c3_1(X10)
        | ~ c2_1(X10) )
    | ~ spl55_16 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f813,plain,
    ( c1_1(a355)
    | ~ spl55_102 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f2207,plain,
    ( ~ spl55_61
    | ~ spl55_117
    | ~ spl55_55
    | spl55_192 ),
    inference(avatar_split_clause,[],[f2196,f1309,f595,f896,f622]) ).

fof(f622,plain,
    ( spl55_61
  <=> c3_1(a322) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_61])]) ).

fof(f896,plain,
    ( spl55_117
  <=> c2_1(a322) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_117])]) ).

fof(f595,plain,
    ( spl55_55
  <=> ! [X96] :
        ( ~ c2_1(X96)
        | ~ c3_1(X96)
        | c0_1(X96) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_55])]) ).

fof(f1309,plain,
    ( spl55_192
  <=> c0_1(a322) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_192])]) ).

fof(f2196,plain,
    ( ~ c2_1(a322)
    | ~ c3_1(a322)
    | ~ spl55_55
    | spl55_192 ),
    inference(resolution,[],[f596,f1311]) ).

fof(f1311,plain,
    ( ~ c0_1(a322)
    | spl55_192 ),
    inference(avatar_component_clause,[],[f1309]) ).

fof(f596,plain,
    ( ! [X96] :
        ( c0_1(X96)
        | ~ c3_1(X96)
        | ~ c2_1(X96) )
    | ~ spl55_55 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f2153,plain,
    ( spl55_196
    | ~ spl55_219
    | ~ spl55_72
    | ~ spl55_202 ),
    inference(avatar_split_clause,[],[f2109,f1371,f673,f1585,f1339]) ).

fof(f1339,plain,
    ( spl55_196
  <=> c3_1(a354) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_196])]) ).

fof(f1585,plain,
    ( spl55_219
  <=> c0_1(a354) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_219])]) ).

fof(f673,plain,
    ( spl55_72
  <=> ! [X104] :
        ( c3_1(X104)
        | ~ c0_1(X104)
        | ~ c1_1(X104) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_72])]) ).

fof(f1371,plain,
    ( spl55_202
  <=> c1_1(a354) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_202])]) ).

fof(f2109,plain,
    ( ~ c0_1(a354)
    | c3_1(a354)
    | ~ spl55_72
    | ~ spl55_202 ),
    inference(resolution,[],[f674,f1373]) ).

fof(f1373,plain,
    ( c1_1(a354)
    | ~ spl55_202 ),
    inference(avatar_component_clause,[],[f1371]) ).

fof(f674,plain,
    ( ! [X104] :
        ( ~ c1_1(X104)
        | ~ c0_1(X104)
        | c3_1(X104) )
    | ~ spl55_72 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f2152,plain,
    ( spl55_140
    | ~ spl55_155
    | spl55_60
    | ~ spl55_100 ),
    inference(avatar_split_clause,[],[f2138,f803,f617,f1095,f1012]) ).

fof(f1012,plain,
    ( spl55_140
  <=> c0_1(a334) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_140])]) ).

fof(f1095,plain,
    ( spl55_155
  <=> c2_1(a334) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_155])]) ).

fof(f617,plain,
    ( spl55_60
  <=> c1_1(a334) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_60])]) ).

fof(f803,plain,
    ( spl55_100
  <=> ! [X101] :
        ( c0_1(X101)
        | c1_1(X101)
        | ~ c2_1(X101) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_100])]) ).

fof(f2138,plain,
    ( ~ c2_1(a334)
    | c0_1(a334)
    | spl55_60
    | ~ spl55_100 ),
    inference(resolution,[],[f804,f619]) ).

fof(f619,plain,
    ( ~ c1_1(a334)
    | spl55_60 ),
    inference(avatar_component_clause,[],[f617]) ).

fof(f804,plain,
    ( ! [X101] :
        ( c1_1(X101)
        | ~ c2_1(X101)
        | c0_1(X101) )
    | ~ spl55_100 ),
    inference(avatar_component_clause,[],[f803]) ).

fof(f2127,plain,
    ( spl55_224
    | ~ spl55_159
    | ~ spl55_64
    | ~ spl55_96 ),
    inference(avatar_split_clause,[],[f2121,f785,f636,f1116,f2124]) ).

fof(f636,plain,
    ( spl55_64
  <=> c1_1(a333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_64])]) ).

fof(f785,plain,
    ( spl55_96
  <=> ! [X27] :
        ( ~ c1_1(X27)
        | c2_1(X27)
        | ~ c3_1(X27) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_96])]) ).

fof(f2121,plain,
    ( ~ c3_1(a333)
    | c2_1(a333)
    | ~ spl55_64
    | ~ spl55_96 ),
    inference(resolution,[],[f786,f638]) ).

fof(f638,plain,
    ( c1_1(a333)
    | ~ spl55_64 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f786,plain,
    ( ! [X27] :
        ( ~ c1_1(X27)
        | ~ c3_1(X27)
        | c2_1(X27) )
    | ~ spl55_96 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f2097,plain,
    ( spl55_137
    | ~ spl55_16
    | ~ spl55_153 ),
    inference(avatar_split_clause,[],[f2093,f1085,f425,f999]) ).

fof(f1085,plain,
    ( spl55_153
  <=> ! [X53] :
        ( c0_1(X53)
        | c1_1(X53)
        | c3_1(X53) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_153])]) ).

fof(f2093,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl55_16
    | ~ spl55_153 ),
    inference(duplicate_literal_removal,[],[f2083]) ).

fof(f2083,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1)
        | c3_1(X1) )
    | ~ spl55_16
    | ~ spl55_153 ),
    inference(resolution,[],[f1086,f426]) ).

fof(f1086,plain,
    ( ! [X53] :
        ( c1_1(X53)
        | c3_1(X53)
        | c0_1(X53) )
    | ~ spl55_153 ),
    inference(avatar_component_clause,[],[f1085]) ).

fof(f2081,plain,
    ( ~ spl55_44
    | spl55_150
    | ~ spl55_49
    | ~ spl55_170 ),
    inference(avatar_split_clause,[],[f2070,f1173,f569,f1071,f545]) ).

fof(f545,plain,
    ( spl55_44
  <=> c3_1(a345) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_44])]) ).

fof(f1071,plain,
    ( spl55_150
  <=> c2_1(a345) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_150])]) ).

fof(f569,plain,
    ( spl55_49
  <=> ! [X115] :
        ( ~ c0_1(X115)
        | ~ c3_1(X115)
        | c2_1(X115) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_49])]) ).

fof(f1173,plain,
    ( spl55_170
  <=> c0_1(a345) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_170])]) ).

fof(f2070,plain,
    ( c2_1(a345)
    | ~ c3_1(a345)
    | ~ spl55_49
    | ~ spl55_170 ),
    inference(resolution,[],[f570,f1175]) ).

fof(f1175,plain,
    ( c0_1(a345)
    | ~ spl55_170 ),
    inference(avatar_component_clause,[],[f1173]) ).

fof(f570,plain,
    ( ! [X115] :
        ( ~ c0_1(X115)
        | c2_1(X115)
        | ~ c3_1(X115) )
    | ~ spl55_49 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f2077,plain,
    ( ~ spl55_158
    | spl55_86
    | ~ spl55_49
    | ~ spl55_214 ),
    inference(avatar_split_clause,[],[f2073,f1517,f569,f735,f1110]) ).

fof(f1110,plain,
    ( spl55_158
  <=> c3_1(a349) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_158])]) ).

fof(f735,plain,
    ( spl55_86
  <=> c2_1(a349) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_86])]) ).

fof(f1517,plain,
    ( spl55_214
  <=> c0_1(a349) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_214])]) ).

fof(f2073,plain,
    ( c2_1(a349)
    | ~ c3_1(a349)
    | ~ spl55_49
    | ~ spl55_214 ),
    inference(resolution,[],[f570,f1519]) ).

fof(f1519,plain,
    ( c0_1(a349)
    | ~ spl55_214 ),
    inference(avatar_component_clause,[],[f1517]) ).

fof(f2046,plain,
    ( spl55_53
    | ~ spl55_68
    | spl55_124
    | ~ spl55_137 ),
    inference(avatar_split_clause,[],[f2039,f999,f931,f654,f586]) ).

fof(f586,plain,
    ( spl55_53
  <=> c3_1(a358) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_53])]) ).

fof(f654,plain,
    ( spl55_68
  <=> c2_1(a358) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_68])]) ).

fof(f931,plain,
    ( spl55_124
  <=> c0_1(a358) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_124])]) ).

fof(f2039,plain,
    ( ~ c2_1(a358)
    | c3_1(a358)
    | spl55_124
    | ~ spl55_137 ),
    inference(resolution,[],[f1000,f933]) ).

fof(f933,plain,
    ( ~ c0_1(a358)
    | spl55_124 ),
    inference(avatar_component_clause,[],[f931]) ).

fof(f1000,plain,
    ( ! [X33] :
        ( c0_1(X33)
        | c3_1(X33)
        | ~ c2_1(X33) )
    | ~ spl55_137 ),
    inference(avatar_component_clause,[],[f999]) ).

fof(f2045,plain,
    ( ~ spl55_220
    | spl55_174
    | spl55_70
    | ~ spl55_137 ),
    inference(avatar_split_clause,[],[f2032,f999,f664,f1194,f1639]) ).

fof(f1639,plain,
    ( spl55_220
  <=> c2_1(a324) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_220])]) ).

fof(f1194,plain,
    ( spl55_174
  <=> c3_1(a324) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_174])]) ).

fof(f664,plain,
    ( spl55_70
  <=> c0_1(a324) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_70])]) ).

fof(f2032,plain,
    ( c3_1(a324)
    | ~ c2_1(a324)
    | spl55_70
    | ~ spl55_137 ),
    inference(resolution,[],[f1000,f666]) ).

fof(f666,plain,
    ( ~ c0_1(a324)
    | spl55_70 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f2011,plain,
    ( ~ spl55_217
    | ~ spl55_187
    | ~ spl55_40
    | spl55_163 ),
    inference(avatar_split_clause,[],[f2003,f1136,f528,f1276,f1540]) ).

fof(f528,plain,
    ( spl55_40
  <=> ! [X107] :
        ( ~ c2_1(X107)
        | ~ c3_1(X107)
        | c1_1(X107) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_40])]) ).

fof(f2003,plain,
    ( ~ c3_1(a330)
    | ~ c2_1(a330)
    | ~ spl55_40
    | spl55_163 ),
    inference(resolution,[],[f529,f1138]) ).

fof(f529,plain,
    ( ! [X107] :
        ( c1_1(X107)
        | ~ c2_1(X107)
        | ~ c3_1(X107) )
    | ~ spl55_40 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f1970,plain,
    ( spl55_135
    | ~ spl55_33
    | ~ spl55_42 ),
    inference(avatar_split_clause,[],[f1859,f536,f498,f989]) ).

fof(f498,plain,
    ( spl55_33
  <=> ! [X116] :
        ( c1_1(X116)
        | ~ c3_1(X116)
        | c2_1(X116) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_33])]) ).

fof(f536,plain,
    ( spl55_42
  <=> ! [X34] :
        ( c0_1(X34)
        | ~ c1_1(X34)
        | c2_1(X34) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_42])]) ).

fof(f1859,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl55_33
    | ~ spl55_42 ),
    inference(duplicate_literal_removal,[],[f1848]) ).

fof(f1848,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl55_33
    | ~ spl55_42 ),
    inference(resolution,[],[f537,f499]) ).

fof(f499,plain,
    ( ! [X116] :
        ( c1_1(X116)
        | c2_1(X116)
        | ~ c3_1(X116) )
    | ~ spl55_33 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f537,plain,
    ( ! [X34] :
        ( ~ c1_1(X34)
        | c0_1(X34)
        | c2_1(X34) )
    | ~ spl55_42 ),
    inference(avatar_component_clause,[],[f536]) ).

fof(f1968,plain,
    ( ~ spl55_177
    | spl55_156
    | ~ spl55_58
    | ~ spl55_72 ),
    inference(avatar_split_clause,[],[f1958,f673,f608,f1100,f1213]) ).

fof(f1100,plain,
    ( spl55_156
  <=> c3_1(a327) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_156])]) ).

fof(f1958,plain,
    ( c3_1(a327)
    | ~ c0_1(a327)
    | ~ spl55_58
    | ~ spl55_72 ),
    inference(resolution,[],[f674,f610]) ).

fof(f1967,plain,
    ( spl55_206
    | ~ spl55_146
    | ~ spl55_69
    | ~ spl55_72 ),
    inference(avatar_split_clause,[],[f1965,f673,f659,f1046,f1427]) ).

fof(f659,plain,
    ( spl55_69
  <=> c1_1(a343) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_69])]) ).

fof(f1965,plain,
    ( ~ c0_1(a343)
    | c3_1(a343)
    | ~ spl55_69
    | ~ spl55_72 ),
    inference(resolution,[],[f674,f661]) ).

fof(f661,plain,
    ( c1_1(a343)
    | ~ spl55_69 ),
    inference(avatar_component_clause,[],[f659]) ).

fof(f1954,plain,
    ( ~ spl55_108
    | spl55_104
    | spl55_78
    | ~ spl55_135 ),
    inference(avatar_split_clause,[],[f1948,f989,f698,f824,f847]) ).

fof(f847,plain,
    ( spl55_108
  <=> c3_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_108])]) ).

fof(f824,plain,
    ( spl55_104
  <=> c2_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_104])]) ).

fof(f698,plain,
    ( spl55_78
  <=> c0_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_78])]) ).

fof(f1948,plain,
    ( c2_1(a359)
    | ~ c3_1(a359)
    | spl55_78
    | ~ spl55_135 ),
    inference(resolution,[],[f990,f700]) ).

fof(f700,plain,
    ( ~ c0_1(a359)
    | spl55_78 ),
    inference(avatar_component_clause,[],[f698]) ).

fof(f1936,plain,
    ( spl55_223
    | spl55_160
    | ~ spl55_94
    | ~ spl55_130 ),
    inference(avatar_split_clause,[],[f1931,f965,f775,f1123,f1809]) ).

fof(f1809,plain,
    ( spl55_223
  <=> c3_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_223])]) ).

fof(f1123,plain,
    ( spl55_160
  <=> c0_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_160])]) ).

fof(f775,plain,
    ( spl55_94
  <=> c1_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_94])]) ).

fof(f1931,plain,
    ( c0_1(a353)
    | c3_1(a353)
    | ~ spl55_94
    | ~ spl55_130 ),
    inference(resolution,[],[f966,f777]) ).

fof(f777,plain,
    ( c1_1(a353)
    | ~ spl55_94 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f1812,plain,
    ( ~ spl55_84
    | ~ spl55_223
    | ~ spl55_74
    | ~ spl55_94 ),
    inference(avatar_split_clause,[],[f1805,f775,f681,f1809,f725]) ).

fof(f725,plain,
    ( spl55_84
  <=> c2_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_84])]) ).

fof(f681,plain,
    ( spl55_74
  <=> ! [X29] :
        ( ~ c1_1(X29)
        | ~ c3_1(X29)
        | ~ c2_1(X29) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_74])]) ).

fof(f1805,plain,
    ( ~ c3_1(a353)
    | ~ c2_1(a353)
    | ~ spl55_74
    | ~ spl55_94 ),
    inference(resolution,[],[f777,f682]) ).

fof(f682,plain,
    ( ! [X29] :
        ( ~ c1_1(X29)
        | ~ c2_1(X29)
        | ~ c3_1(X29) )
    | ~ spl55_74 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f1807,plain,
    ( spl55_210
    | spl55_77
    | ~ spl55_26
    | ~ spl55_47 ),
    inference(avatar_split_clause,[],[f1746,f559,f468,f693,f1458]) ).

fof(f1458,plain,
    ( spl55_210
  <=> c3_1(a419) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_210])]) ).

fof(f693,plain,
    ( spl55_77
  <=> c2_1(a419) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_77])]) ).

fof(f559,plain,
    ( spl55_47
  <=> c0_1(a419) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_47])]) ).

fof(f1746,plain,
    ( c2_1(a419)
    | c3_1(a419)
    | ~ spl55_26
    | ~ spl55_47 ),
    inference(resolution,[],[f561,f469]) ).

fof(f469,plain,
    ( ! [X35] :
        ( ~ c0_1(X35)
        | c2_1(X35)
        | c3_1(X35) )
    | ~ spl55_26 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f561,plain,
    ( c0_1(a419)
    | ~ spl55_47 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f1806,plain,
    ( spl55_160
    | ~ spl55_84
    | ~ spl55_21
    | ~ spl55_94 ),
    inference(avatar_split_clause,[],[f1803,f775,f446,f725,f1123]) ).

fof(f446,plain,
    ( spl55_21
  <=> ! [X39] :
        ( ~ c2_1(X39)
        | c0_1(X39)
        | ~ c1_1(X39) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_21])]) ).

fof(f1803,plain,
    ( ~ c2_1(a353)
    | c0_1(a353)
    | ~ spl55_21
    | ~ spl55_94 ),
    inference(resolution,[],[f777,f447]) ).

fof(f447,plain,
    ( ! [X39] :
        ( ~ c1_1(X39)
        | ~ c2_1(X39)
        | c0_1(X39) )
    | ~ spl55_21 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f1799,plain,
    ( ~ spl55_204
    | ~ spl55_218
    | ~ spl55_40
    | spl55_178 ),
    inference(avatar_split_clause,[],[f1783,f1218,f528,f1548,f1389]) ).

fof(f1389,plain,
    ( spl55_204
  <=> c2_1(a326) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_204])]) ).

fof(f1548,plain,
    ( spl55_218
  <=> c3_1(a326) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_218])]) ).

fof(f1218,plain,
    ( spl55_178
  <=> c1_1(a326) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_178])]) ).

fof(f1783,plain,
    ( ~ c3_1(a326)
    | ~ c2_1(a326)
    | ~ spl55_40
    | spl55_178 ),
    inference(resolution,[],[f529,f1220]) ).

fof(f1220,plain,
    ( ~ c1_1(a326)
    | spl55_178 ),
    inference(avatar_component_clause,[],[f1218]) ).

fof(f1774,plain,
    ( ~ spl55_204
    | spl55_218
    | ~ spl55_10
    | ~ spl55_184 ),
    inference(avatar_split_clause,[],[f1766,f1253,f400,f1548,f1389]) ).

fof(f400,plain,
    ( spl55_10
  <=> ! [X31] :
        ( ~ c0_1(X31)
        | ~ c2_1(X31)
        | c3_1(X31) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_10])]) ).

fof(f1253,plain,
    ( spl55_184
  <=> c0_1(a326) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_184])]) ).

fof(f1766,plain,
    ( c3_1(a326)
    | ~ c2_1(a326)
    | ~ spl55_10
    | ~ spl55_184 ),
    inference(resolution,[],[f401,f1255]) ).

fof(f1255,plain,
    ( c0_1(a326)
    | ~ spl55_184 ),
    inference(avatar_component_clause,[],[f1253]) ).

fof(f401,plain,
    ( ! [X31] :
        ( ~ c0_1(X31)
        | ~ c2_1(X31)
        | c3_1(X31) )
    | ~ spl55_10 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f1773,plain,
    ( spl55_109
    | ~ spl55_213
    | ~ spl55_10
    | ~ spl55_133 ),
    inference(avatar_split_clause,[],[f1770,f978,f400,f1500,f852]) ).

fof(f978,plain,
    ( spl55_133
  <=> c0_1(a348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_133])]) ).

fof(f1770,plain,
    ( ~ c2_1(a348)
    | c3_1(a348)
    | ~ spl55_10
    | ~ spl55_133 ),
    inference(resolution,[],[f401,f980]) ).

fof(f980,plain,
    ( c0_1(a348)
    | ~ spl55_133 ),
    inference(avatar_component_clause,[],[f978]) ).

fof(f1772,plain,
    ( ~ spl55_67
    | spl55_92
    | ~ spl55_10
    | ~ spl55_143 ),
    inference(avatar_split_clause,[],[f1769,f1030,f400,f764,f649]) ).

fof(f649,plain,
    ( spl55_67
  <=> c2_1(a346) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_67])]) ).

fof(f764,plain,
    ( spl55_92
  <=> c3_1(a346) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_92])]) ).

fof(f1030,plain,
    ( spl55_143
  <=> c0_1(a346) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_143])]) ).

fof(f1769,plain,
    ( c3_1(a346)
    | ~ c2_1(a346)
    | ~ spl55_10
    | ~ spl55_143 ),
    inference(resolution,[],[f401,f1032]) ).

fof(f1032,plain,
    ( c0_1(a346)
    | ~ spl55_143 ),
    inference(avatar_component_clause,[],[f1030]) ).

fof(f1741,plain,
    ( ~ spl55_47
    | ~ spl55_210
    | ~ spl55_37
    | spl55_173 ),
    inference(avatar_split_clause,[],[f1478,f1188,f516,f1458,f559]) ).

fof(f516,plain,
    ( spl55_37
  <=> ! [X110] :
        ( ~ c3_1(X110)
        | c1_1(X110)
        | ~ c0_1(X110) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_37])]) ).

fof(f1188,plain,
    ( spl55_173
  <=> c1_1(a419) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_173])]) ).

fof(f1478,plain,
    ( ~ c3_1(a419)
    | ~ c0_1(a419)
    | ~ spl55_37
    | spl55_173 ),
    inference(resolution,[],[f517,f1190]) ).

fof(f1190,plain,
    ( ~ c1_1(a419)
    | spl55_173 ),
    inference(avatar_component_clause,[],[f1188]) ).

fof(f517,plain,
    ( ! [X110] :
        ( c1_1(X110)
        | ~ c0_1(X110)
        | ~ c3_1(X110) )
    | ~ spl55_37 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f1739,plain,
    ( spl55_49
    | ~ spl55_37
    | ~ spl55_96 ),
    inference(avatar_split_clause,[],[f1693,f785,f516,f569]) ).

fof(f1693,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl55_37
    | ~ spl55_96 ),
    inference(duplicate_literal_removal,[],[f1683]) ).

fof(f1683,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl55_37
    | ~ spl55_96 ),
    inference(resolution,[],[f786,f517]) ).

fof(f1737,plain,
    ( ~ spl55_205
    | spl55_199
    | ~ spl55_96
    | ~ spl55_128 ),
    inference(avatar_split_clause,[],[f1686,f953,f785,f1355,f1417]) ).

fof(f1417,plain,
    ( spl55_205
  <=> c3_1(a325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_205])]) ).

fof(f1355,plain,
    ( spl55_199
  <=> c2_1(a325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_199])]) ).

fof(f953,plain,
    ( spl55_128
  <=> c1_1(a325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_128])]) ).

fof(f1686,plain,
    ( c2_1(a325)
    | ~ c3_1(a325)
    | ~ spl55_96
    | ~ spl55_128 ),
    inference(resolution,[],[f786,f955]) ).

fof(f955,plain,
    ( c1_1(a325)
    | ~ spl55_128 ),
    inference(avatar_component_clause,[],[f953]) ).

fof(f1736,plain,
    ( spl55_86
    | ~ spl55_158
    | ~ spl55_96
    | ~ spl55_121 ),
    inference(avatar_split_clause,[],[f1688,f915,f785,f1110,f735]) ).

fof(f915,plain,
    ( spl55_121
  <=> c1_1(a349) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_121])]) ).

fof(f1688,plain,
    ( ~ c3_1(a349)
    | c2_1(a349)
    | ~ spl55_96
    | ~ spl55_121 ),
    inference(resolution,[],[f786,f917]) ).

fof(f917,plain,
    ( c1_1(a349)
    | ~ spl55_121 ),
    inference(avatar_component_clause,[],[f915]) ).

fof(f1733,plain,
    ( ~ spl55_142
    | ~ spl55_207
    | ~ spl55_37
    | spl55_87 ),
    inference(avatar_split_clause,[],[f1477,f740,f516,f1434,f1024]) ).

fof(f740,plain,
    ( spl55_87
  <=> c1_1(a367) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_87])]) ).

fof(f1477,plain,
    ( ~ c0_1(a367)
    | ~ c3_1(a367)
    | ~ spl55_37
    | spl55_87 ),
    inference(resolution,[],[f517,f742]) ).

fof(f742,plain,
    ( ~ c1_1(a367)
    | spl55_87 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f1716,plain,
    ( spl55_55
    | ~ spl55_74
    | ~ spl55_100 ),
    inference(avatar_split_clause,[],[f1710,f803,f681,f595]) ).

fof(f1710,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl55_74
    | ~ spl55_100 ),
    inference(duplicate_literal_removal,[],[f1697]) ).

fof(f1697,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl55_74
    | ~ spl55_100 ),
    inference(resolution,[],[f804,f682]) ).

fof(f1714,plain,
    ( ~ spl55_217
    | spl55_98
    | ~ spl55_100
    | spl55_163 ),
    inference(avatar_split_clause,[],[f1704,f1136,f803,f793,f1540]) ).

fof(f1704,plain,
    ( c0_1(a330)
    | ~ c2_1(a330)
    | ~ spl55_100
    | spl55_163 ),
    inference(resolution,[],[f804,f1138]) ).

fof(f1672,plain,
    ( spl55_203
    | spl55_175
    | ~ spl55_88
    | spl55_141 ),
    inference(avatar_split_clause,[],[f1664,f1017,f745,f1199,f1380]) ).

fof(f745,plain,
    ( spl55_88
  <=> ! [X14] :
        ( c1_1(X14)
        | c0_1(X14)
        | c2_1(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_88])]) ).

fof(f1017,plain,
    ( spl55_141
  <=> c1_1(a338) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_141])]) ).

fof(f1664,plain,
    ( c2_1(a338)
    | c0_1(a338)
    | ~ spl55_88
    | spl55_141 ),
    inference(resolution,[],[f746,f1019]) ).

fof(f1019,plain,
    ( ~ c1_1(a338)
    | spl55_141 ),
    inference(avatar_component_clause,[],[f1017]) ).

fof(f746,plain,
    ( ! [X14] :
        ( c1_1(X14)
        | c2_1(X14)
        | c0_1(X14) )
    | ~ spl55_88 ),
    inference(avatar_component_clause,[],[f745]) ).

fof(f1643,plain,
    ( spl55_209
    | spl55_175
    | ~ spl55_81
    | spl55_141 ),
    inference(avatar_split_clause,[],[f1628,f1017,f712,f1199,f1452]) ).

fof(f1628,plain,
    ( c2_1(a338)
    | c3_1(a338)
    | ~ spl55_81
    | spl55_141 ),
    inference(resolution,[],[f713,f1019]) ).

fof(f1642,plain,
    ( spl55_220
    | spl55_174
    | ~ spl55_81
    | spl55_190 ),
    inference(avatar_split_clause,[],[f1625,f1298,f712,f1194,f1639]) ).

fof(f1298,plain,
    ( spl55_190
  <=> c1_1(a324) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_190])]) ).

fof(f1625,plain,
    ( c3_1(a324)
    | c2_1(a324)
    | ~ spl55_81
    | spl55_190 ),
    inference(resolution,[],[f713,f1300]) ).

fof(f1300,plain,
    ( ~ c1_1(a324)
    | spl55_190 ),
    inference(avatar_component_clause,[],[f1298]) ).

fof(f1637,plain,
    ( spl55_210
    | spl55_77
    | ~ spl55_81
    | spl55_173 ),
    inference(avatar_split_clause,[],[f1632,f1188,f712,f693,f1458]) ).

fof(f1632,plain,
    ( c2_1(a419)
    | c3_1(a419)
    | ~ spl55_81
    | spl55_173 ),
    inference(resolution,[],[f713,f1190]) ).

fof(f1636,plain,
    ( spl55_197
    | spl55_149
    | ~ spl55_81
    | spl55_167 ),
    inference(avatar_split_clause,[],[f1624,f1156,f712,f1065,f1344]) ).

fof(f1344,plain,
    ( spl55_197
  <=> c2_1(a323) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_197])]) ).

fof(f1065,plain,
    ( spl55_149
  <=> c3_1(a323) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_149])]) ).

fof(f1156,plain,
    ( spl55_167
  <=> c1_1(a323) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_167])]) ).

fof(f1624,plain,
    ( c3_1(a323)
    | c2_1(a323)
    | ~ spl55_81
    | spl55_167 ),
    inference(resolution,[],[f713,f1158]) ).

fof(f1158,plain,
    ( ~ c1_1(a323)
    | spl55_167 ),
    inference(avatar_component_clause,[],[f1156]) ).

fof(f1616,plain,
    ( ~ spl55_24
    | ~ spl55_134
    | ~ spl55_74
    | ~ spl55_189 ),
    inference(avatar_split_clause,[],[f1610,f1290,f681,f984,f458]) ).

fof(f458,plain,
    ( spl55_24
  <=> c3_1(a341) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_24])]) ).

fof(f984,plain,
    ( spl55_134
  <=> c2_1(a341) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_134])]) ).

fof(f1290,plain,
    ( spl55_189
  <=> c1_1(a341) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_189])]) ).

fof(f1610,plain,
    ( ~ c2_1(a341)
    | ~ c3_1(a341)
    | ~ spl55_74
    | ~ spl55_189 ),
    inference(resolution,[],[f682,f1292]) ).

fof(f1292,plain,
    ( c1_1(a341)
    | ~ spl55_189 ),
    inference(avatar_component_clause,[],[f1290]) ).

fof(f1614,plain,
    ( ~ spl55_206
    | ~ spl55_80
    | ~ spl55_69
    | ~ spl55_74 ),
    inference(avatar_split_clause,[],[f1611,f681,f659,f707,f1427]) ).

fof(f1611,plain,
    ( ~ c2_1(a343)
    | ~ c3_1(a343)
    | ~ spl55_69
    | ~ spl55_74 ),
    inference(resolution,[],[f682,f661]) ).

fof(f1588,plain,
    ( spl55_186
    | spl55_219
    | ~ spl55_42
    | ~ spl55_202 ),
    inference(avatar_split_clause,[],[f1582,f1371,f536,f1585,f1271]) ).

fof(f1271,plain,
    ( spl55_186
  <=> c2_1(a354) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_186])]) ).

fof(f1582,plain,
    ( c0_1(a354)
    | c2_1(a354)
    | ~ spl55_42
    | ~ spl55_202 ),
    inference(resolution,[],[f1373,f537]) ).

fof(f1577,plain,
    ( ~ spl55_217
    | ~ spl55_187
    | ~ spl55_55
    | spl55_98 ),
    inference(avatar_split_clause,[],[f1569,f793,f595,f1276,f1540]) ).

fof(f1569,plain,
    ( ~ c3_1(a330)
    | ~ c2_1(a330)
    | ~ spl55_55
    | spl55_98 ),
    inference(resolution,[],[f596,f795]) ).

fof(f1543,plain,
    ( ~ spl55_187
    | spl55_217
    | ~ spl55_33
    | spl55_163 ),
    inference(avatar_split_clause,[],[f1537,f1136,f498,f1540,f1276]) ).

fof(f1537,plain,
    ( c2_1(a330)
    | ~ c3_1(a330)
    | ~ spl55_33
    | spl55_163 ),
    inference(resolution,[],[f1138,f499]) ).

fof(f1528,plain,
    ( ~ spl55_215
    | spl55_156
    | ~ spl55_16
    | ~ spl55_58 ),
    inference(avatar_split_clause,[],[f1521,f608,f425,f1100,f1524]) ).

fof(f1521,plain,
    ( c3_1(a327)
    | ~ c2_1(a327)
    | ~ spl55_16
    | ~ spl55_58 ),
    inference(resolution,[],[f610,f426]) ).

fof(f1527,plain,
    ( ~ spl55_177
    | ~ spl55_215
    | ~ spl55_14
    | ~ spl55_58 ),
    inference(avatar_split_clause,[],[f1522,f608,f417,f1524,f1213]) ).

fof(f417,plain,
    ( spl55_14
  <=> ! [X94] :
        ( ~ c1_1(X94)
        | ~ c0_1(X94)
        | ~ c2_1(X94) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_14])]) ).

fof(f1522,plain,
    ( ~ c2_1(a327)
    | ~ c0_1(a327)
    | ~ spl55_14
    | ~ spl55_58 ),
    inference(resolution,[],[f610,f418]) ).

fof(f418,plain,
    ( ! [X94] :
        ( ~ c1_1(X94)
        | ~ c0_1(X94)
        | ~ c2_1(X94) )
    | ~ spl55_14 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f1520,plain,
    ( spl55_86
    | spl55_214
    | ~ spl55_42
    | ~ spl55_121 ),
    inference(avatar_split_clause,[],[f1509,f915,f536,f1517,f735]) ).

fof(f1509,plain,
    ( c0_1(a349)
    | c2_1(a349)
    | ~ spl55_42
    | ~ spl55_121 ),
    inference(resolution,[],[f537,f917]) ).

fof(f1515,plain,
    ( spl55_99
    | spl55_116
    | ~ spl55_29
    | ~ spl55_42 ),
    inference(avatar_split_clause,[],[f1510,f536,f480,f891,f798]) ).

fof(f798,plain,
    ( spl55_99
  <=> c0_1(a401) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_99])]) ).

fof(f891,plain,
    ( spl55_116
  <=> c2_1(a401) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_116])]) ).

fof(f480,plain,
    ( spl55_29
  <=> c1_1(a401) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_29])]) ).

fof(f1510,plain,
    ( c2_1(a401)
    | c0_1(a401)
    | ~ spl55_29
    | ~ spl55_42 ),
    inference(resolution,[],[f537,f482]) ).

fof(f482,plain,
    ( c1_1(a401)
    | ~ spl55_29 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f1494,plain,
    ( ~ spl55_157
    | ~ spl55_113
    | spl55_34
    | ~ spl55_40 ),
    inference(avatar_split_clause,[],[f1489,f528,f502,f873,f1105]) ).

fof(f1105,plain,
    ( spl55_157
  <=> c2_1(a347) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_157])]) ).

fof(f873,plain,
    ( spl55_113
  <=> c3_1(a347) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_113])]) ).

fof(f502,plain,
    ( spl55_34
  <=> c1_1(a347) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_34])]) ).

fof(f1489,plain,
    ( ~ c3_1(a347)
    | ~ c2_1(a347)
    | spl55_34
    | ~ spl55_40 ),
    inference(resolution,[],[f529,f504]) ).

fof(f504,plain,
    ( ~ c1_1(a347)
    | spl55_34 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f1461,plain,
    ( ~ spl55_210
    | spl55_77
    | ~ spl55_33
    | spl55_173 ),
    inference(avatar_split_clause,[],[f1450,f1188,f498,f693,f1458]) ).

fof(f1450,plain,
    ( c2_1(a419)
    | ~ c3_1(a419)
    | ~ spl55_33
    | spl55_173 ),
    inference(resolution,[],[f499,f1190]) ).

fof(f1456,plain,
    ( spl55_115
    | ~ spl55_142
    | ~ spl55_33
    | spl55_87 ),
    inference(avatar_split_clause,[],[f1449,f740,f498,f1024,f884]) ).

fof(f1449,plain,
    ( ~ c3_1(a367)
    | c2_1(a367)
    | ~ spl55_33
    | spl55_87 ),
    inference(resolution,[],[f499,f742]) ).

fof(f1430,plain,
    ( ~ spl55_80
    | spl55_206
    | ~ spl55_16
    | ~ spl55_69 ),
    inference(avatar_split_clause,[],[f1423,f659,f425,f1427,f707]) ).

fof(f1423,plain,
    ( c3_1(a343)
    | ~ c2_1(a343)
    | ~ spl55_16
    | ~ spl55_69 ),
    inference(resolution,[],[f661,f426]) ).

fof(f1425,plain,
    ( ~ spl55_146
    | ~ spl55_80
    | ~ spl55_14
    | ~ spl55_69 ),
    inference(avatar_split_clause,[],[f1424,f659,f417,f707,f1046]) ).

fof(f1424,plain,
    ( ~ c2_1(a343)
    | ~ c0_1(a343)
    | ~ spl55_14
    | ~ spl55_69 ),
    inference(resolution,[],[f661,f418]) ).

fof(f1421,plain,
    ( spl55_30
    | spl55_171
    | ~ spl55_26
    | ~ spl55_169 ),
    inference(avatar_split_clause,[],[f1414,f1168,f468,f1178,f485]) ).

fof(f485,plain,
    ( spl55_30
  <=> c2_1(a337) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_30])]) ).

fof(f1178,plain,
    ( spl55_171
  <=> c3_1(a337) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_171])]) ).

fof(f1168,plain,
    ( spl55_169
  <=> c0_1(a337) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_169])]) ).

fof(f1414,plain,
    ( c3_1(a337)
    | c2_1(a337)
    | ~ spl55_26
    | ~ spl55_169 ),
    inference(resolution,[],[f469,f1170]) ).

fof(f1170,plain,
    ( c0_1(a337)
    | ~ spl55_169 ),
    inference(avatar_component_clause,[],[f1168]) ).

fof(f1420,plain,
    ( spl55_199
    | spl55_205
    | ~ spl55_26
    | ~ spl55_129 ),
    inference(avatar_split_clause,[],[f1415,f960,f468,f1417,f1355]) ).

fof(f960,plain,
    ( spl55_129
  <=> c0_1(a325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_129])]) ).

fof(f1415,plain,
    ( c3_1(a325)
    | c2_1(a325)
    | ~ spl55_26
    | ~ spl55_129 ),
    inference(resolution,[],[f469,f962]) ).

fof(f962,plain,
    ( c0_1(a325)
    | ~ spl55_129 ),
    inference(avatar_component_clause,[],[f960]) ).

fof(f1398,plain,
    ( ~ spl55_47
    | spl55_77
    | ~ spl55_4
    | spl55_173 ),
    inference(avatar_split_clause,[],[f1397,f1188,f374,f693,f559]) ).

fof(f374,plain,
    ( spl55_4
  <=> ! [X90] :
        ( c2_1(X90)
        | ~ c0_1(X90)
        | c1_1(X90) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_4])]) ).

fof(f1397,plain,
    ( c2_1(a419)
    | ~ c0_1(a419)
    | ~ spl55_4
    | spl55_173 ),
    inference(resolution,[],[f375,f1190]) ).

fof(f375,plain,
    ( ! [X90] :
        ( c1_1(X90)
        | ~ c0_1(X90)
        | c2_1(X90) )
    | ~ spl55_4 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f1393,plain,
    ( spl55_193
    | spl55_21 ),
    inference(avatar_split_clause,[],[f306,f446,f1320]) ).

fof(f1320,plain,
    ( spl55_193
  <=> sP51 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_193])]) ).

fof(f306,plain,
    ! [X118] :
      ( c0_1(X118)
      | ~ c2_1(X118)
      | sP51
      | ~ c1_1(X118) ),
    inference(cnf_transformation,[],[f306_D]) ).

fof(f306_D,plain,
    ( ! [X118] :
        ( c0_1(X118)
        | ~ c2_1(X118)
        | ~ c1_1(X118) )
  <=> ~ sP51 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP51])]) ).

fof(f1392,plain,
    ( ~ spl55_7
    | spl55_204 ),
    inference(avatar_split_clause,[],[f161,f1389,f387]) ).

fof(f387,plain,
    ( spl55_7
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_7])]) ).

fof(f161,plain,
    ( c2_1(a326)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ( hskp17
      | ! [X0] :
          ( ~ c1_1(X0)
          | c2_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( ~ c2_1(X1)
          | ~ ndr1_0
          | ~ c3_1(X1)
          | c1_1(X1) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c2_1(a332)
        & ~ c3_1(a332)
        & ~ c0_1(a332) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | c2_1(X2)
          | c0_1(X2)
          | ~ c3_1(X2) )
      | hskp28
      | ! [X3] :
          ( c2_1(X3)
          | ~ ndr1_0
          | ~ c3_1(X3)
          | ~ c0_1(X3) ) )
    & ( hskp14
      | ! [X4] :
          ( c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0
          | c2_1(X4) )
      | hskp5 )
    & ( ( ~ c3_1(a324)
        & ndr1_0
        & ~ c1_1(a324)
        & ~ c0_1(a324) )
      | ~ hskp2 )
    & ( ! [X5] :
          ( c2_1(X5)
          | c1_1(X5)
          | ~ ndr1_0
          | c0_1(X5) )
      | hskp1
      | hskp5 )
    & ( ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ ndr1_0
          | ~ c0_1(X6) )
      | hskp6
      | ! [X7] :
          ( c1_1(X7)
          | ~ ndr1_0
          | ~ c2_1(X7)
          | ~ c0_1(X7) ) )
    & ( hskp5
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c0_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 )
      | hskp16 )
    & ( hskp17
      | hskp11
      | hskp18 )
    & ( ! [X9] :
          ( ~ ndr1_0
          | c2_1(X9)
          | ~ c0_1(X9)
          | c3_1(X9) )
      | hskp27
      | hskp28 )
    & ( ! [X10] :
          ( ~ c1_1(X10)
          | ~ ndr1_0
          | c3_1(X10)
          | ~ c2_1(X10) )
      | ! [X11] :
          ( c0_1(X11)
          | ~ ndr1_0
          | c2_1(X11)
          | ~ c1_1(X11) )
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c0_1(X12)
          | ~ c2_1(X12)
          | ~ c1_1(X12) ) )
    & ( ! [X13] :
          ( ~ c1_1(X13)
          | c0_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 )
      | hskp9
      | hskp16 )
    & ( hskp4
      | ! [X14] :
          ( c1_1(X14)
          | ~ ndr1_0
          | c0_1(X14)
          | c2_1(X14) )
      | hskp3 )
    & ( hskp11
      | hskp19
      | ! [X15] :
          ( c0_1(X15)
          | ~ ndr1_0
          | ~ c2_1(X15)
          | ~ c3_1(X15) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c2_1(a345)
        & c0_1(a345)
        & c3_1(a345) ) )
    & ( ~ hskp28
      | ( c1_1(a343)
        & c2_1(a343)
        & c0_1(a343)
        & ndr1_0 ) )
    & ( ! [X16] :
          ( ~ c2_1(X16)
          | c3_1(X16)
          | ~ ndr1_0
          | ~ c1_1(X16) )
      | hskp7
      | hskp28 )
    & ( ( c2_1(a322)
        & ndr1_0
        & c3_1(a322)
        & ~ c0_1(a322) )
      | ~ hskp0 )
    & ( ! [X17] :
          ( c2_1(X17)
          | c0_1(X17)
          | ~ ndr1_0
          | ~ c1_1(X17) )
      | hskp11
      | ! [X18] :
          ( c3_1(X18)
          | ~ c1_1(X18)
          | c0_1(X18)
          | ~ ndr1_0 ) )
    & ( ( ~ c2_1(a401)
        & ndr1_0
        & ~ c0_1(a401)
        & c1_1(a401) )
      | ~ hskp24 )
    & ( hskp1
      | hskp25
      | hskp11 )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c1_1(a326)
        & c0_1(a326)
        & c2_1(a326) ) )
    & ( ! [X19] :
          ( ~ ndr1_0
          | ~ c1_1(X19)
          | c2_1(X19)
          | c0_1(X19) )
      | ! [X20] :
          ( c1_1(X20)
          | ~ ndr1_0
          | c2_1(X20)
          | c0_1(X20) )
      | hskp0 )
    & ( ! [X21] :
          ( c2_1(X21)
          | ~ ndr1_0
          | c3_1(X21)
          | ~ c0_1(X21) )
      | ! [X22] :
          ( ~ c2_1(X22)
          | ~ ndr1_0
          | ~ c3_1(X22)
          | ~ c0_1(X22) )
      | ! [X23] :
          ( ~ c3_1(X23)
          | c2_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp3
      | ! [X24] :
          ( c2_1(X24)
          | c3_1(X24)
          | ~ ndr1_0
          | ~ c0_1(X24) ) )
    & ( ~ hskp15
      | ( ~ c1_1(a348)
        & ~ c3_1(a348)
        & c0_1(a348)
        & ndr1_0 ) )
    & ( ! [X25] :
          ( ~ ndr1_0
          | ~ c3_1(X25)
          | c1_1(X25)
          | ~ c0_1(X25) )
      | ! [X26] :
          ( ~ ndr1_0
          | c1_1(X26)
          | c3_1(X26)
          | c2_1(X26) )
      | hskp20 )
    & ( hskp14
      | ! [X27] :
          ( ~ c3_1(X27)
          | c2_1(X27)
          | ~ ndr1_0
          | ~ c1_1(X27) )
      | ! [X28] :
          ( ~ ndr1_0
          | c1_1(X28)
          | ~ c0_1(X28)
          | ~ c3_1(X28) ) )
    & ( ( c3_1(a349)
        & ~ c2_1(a349)
        & c1_1(a349)
        & ndr1_0 )
      | ~ hskp16 )
    & ( hskp13
      | hskp8
      | hskp4 )
    & ( ! [X29] :
          ( ~ c1_1(X29)
          | ~ c2_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c0_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ( c1_1(a341)
        & ndr1_0
        & c2_1(a341)
        & c3_1(a341) )
      | ~ hskp27 )
    & ( hskp4
      | hskp16
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ ndr1_0
          | ~ c0_1(X31)
          | c3_1(X31) ) )
    & ( hskp16
      | hskp25 )
    & ( hskp15
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c2_1(X32)
          | c1_1(X32)
          | ~ c3_1(X32) ) )
    & ( ! [X33] :
          ( c3_1(X33)
          | ~ ndr1_0
          | c0_1(X33)
          | ~ c2_1(X33) )
      | hskp14
      | hskp13 )
    & ( ! [X34] :
          ( ~ c1_1(X34)
          | ~ ndr1_0
          | c0_1(X34)
          | c2_1(X34) )
      | ! [X35] :
          ( ~ c0_1(X35)
          | c2_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | c1_1(X36)
          | ~ c0_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( c1_1(X37)
          | ~ c3_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c1_1(X38)
          | c3_1(X38)
          | ~ ndr1_0
          | c2_1(X38) )
      | hskp12 )
    & ( ( ~ c3_1(a354)
        & ~ c2_1(a354)
        & ndr1_0
        & c1_1(a354) )
      | ~ hskp18 )
    & ( hskp15
      | ! [X39] :
          ( c0_1(X39)
          | ~ ndr1_0
          | ~ c2_1(X39)
          | ~ c1_1(X39) )
      | ! [X40] :
          ( c1_1(X40)
          | ~ ndr1_0
          | c2_1(X40)
          | ~ c0_1(X40) ) )
    & ( ! [X41] :
          ( ~ ndr1_0
          | ~ c0_1(X41)
          | ~ c2_1(X41)
          | ~ c1_1(X41) )
      | ! [X42] :
          ( c1_1(X42)
          | ~ ndr1_0
          | ~ c3_1(X42)
          | c2_1(X42) )
      | ! [X43] :
          ( c2_1(X43)
          | ~ ndr1_0
          | ~ c3_1(X43)
          | ~ c1_1(X43) ) )
    & ( hskp5
      | ! [X44] :
          ( c0_1(X44)
          | ~ c1_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0
          | c1_1(X45) ) )
    & ( ! [X46] :
          ( ~ ndr1_0
          | c3_1(X46)
          | c0_1(X46)
          | c1_1(X46) )
      | hskp7
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c2_1(X47)
          | ~ c0_1(X47)
          | ~ c3_1(X47) ) )
    & ( ( ndr1_0
        & ~ c3_1(a327)
        & c1_1(a327)
        & c0_1(a327) )
      | ~ hskp5 )
    & ( hskp8
      | ! [X48] :
          ( ~ c1_1(X48)
          | ~ ndr1_0
          | c3_1(X48)
          | ~ c0_1(X48) )
      | ! [X49] :
          ( c2_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0
          | ~ c0_1(X49) ) )
    & ( ! [X50] :
          ( c2_1(X50)
          | ~ ndr1_0
          | ~ c1_1(X50)
          | ~ c3_1(X50) )
      | ! [X51] :
          ( ~ ndr1_0
          | c2_1(X51)
          | c1_1(X51)
          | ~ c0_1(X51) )
      | ! [X52] :
          ( c0_1(X52)
          | ~ c3_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 ) )
    & ( ! [X53] :
          ( c0_1(X53)
          | c3_1(X53)
          | ~ ndr1_0
          | c1_1(X53) )
      | hskp6
      | ! [X54] :
          ( ~ c1_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0
          | ~ c2_1(X54) ) )
    & ( hskp1
      | ! [X55] :
          ( c1_1(X55)
          | c0_1(X55)
          | ~ ndr1_0
          | c2_1(X55) )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ ndr1_0
          | c2_1(X56)
          | c0_1(X56) ) )
    & ( hskp12
      | ! [X57] :
          ( ~ c0_1(X57)
          | ~ c2_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c0_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0
          | ~ c1_1(X58) ) )
    & ( hskp14
      | hskp12
      | hskp17 )
    & ( ! [X59] :
          ( c2_1(X59)
          | ~ ndr1_0
          | ~ c0_1(X59)
          | c1_1(X59) )
      | hskp0
      | hskp19 )
    & ( ! [X60] :
          ( ~ c3_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0
          | ~ c2_1(X60) )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c1_1(X61)
          | c2_1(X61)
          | ~ c0_1(X61) )
      | hskp20 )
    & ( hskp3
      | hskp5
      | hskp4 )
    & ( ! [X62] :
          ( ~ c0_1(X62)
          | c1_1(X62)
          | ~ ndr1_0
          | ~ c3_1(X62) )
      | ! [X63] :
          ( c0_1(X63)
          | ~ c2_1(X63)
          | ~ ndr1_0
          | c1_1(X63) )
      | ! [X64] :
          ( c1_1(X64)
          | ~ ndr1_0
          | ~ c3_1(X64)
          | ~ c2_1(X64) ) )
    & ( ! [X65] :
          ( c1_1(X65)
          | c2_1(X65)
          | c3_1(X65)
          | ~ ndr1_0 )
      | hskp21
      | ! [X66] :
          ( ~ c1_1(X66)
          | c3_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 ) )
    & ( ~ hskp6
      | ( ~ c1_1(a329)
        & ndr1_0
        & ~ c3_1(a329)
        & c2_1(a329) ) )
    & ( hskp23
      | hskp22
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c0_1(X67)
          | ~ c3_1(X67)
          | c1_1(X67) ) )
    & ( ( ~ c1_1(a330)
        & ndr1_0
        & c3_1(a330)
        & ~ c0_1(a330) )
      | ~ hskp7 )
    & ( hskp26
      | hskp24
      | hskp2 )
    & ( ! [X68] :
          ( ~ c1_1(X68)
          | ~ ndr1_0
          | c3_1(X68)
          | c0_1(X68) )
      | ! [X69] :
          ( ~ c3_1(X69)
          | ~ c0_1(X69)
          | c2_1(X69)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ~ hskp25
      | ( c0_1(a419)
        & ndr1_0
        & ~ c1_1(a419)
        & ~ c2_1(a419) ) )
    & ( ( ~ c3_1(a355)
        & c1_1(a355)
        & c2_1(a355)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ! [X70] :
          ( ~ c3_1(X70)
          | c1_1(X70)
          | ~ ndr1_0
          | ~ c0_1(X70) )
      | hskp12
      | ! [X71] :
          ( c0_1(X71)
          | ~ ndr1_0
          | ~ c2_1(X71)
          | c3_1(X71) ) )
    & ( ! [X72] :
          ( c2_1(X72)
          | ~ ndr1_0
          | c0_1(X72)
          | ~ c3_1(X72) )
      | ! [X73] :
          ( c2_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0
          | c1_1(X73) )
      | ! [X74] :
          ( ~ c2_1(X74)
          | c1_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp7 )
    & ( ! [X75] :
          ( c1_1(X75)
          | c0_1(X75)
          | ~ ndr1_0
          | ~ c3_1(X75) )
      | hskp9
      | ! [X76] :
          ( ~ ndr1_0
          | c1_1(X76)
          | ~ c0_1(X76)
          | c2_1(X76) ) )
    & ( ( ndr1_0
        & ~ c3_1(a346)
        & c2_1(a346)
        & c0_1(a346) )
      | ~ hskp13 )
    & ( ! [X77] :
          ( ~ c0_1(X77)
          | c1_1(X77)
          | c3_1(X77)
          | ~ ndr1_0 )
      | hskp22
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c0_1(X78)
          | c2_1(X78)
          | c3_1(X78) ) )
    & ( ( c0_1(a337)
        & ndr1_0
        & ~ c2_1(a337)
        & ~ c3_1(a337) )
      | ~ hskp10 )
    & ( ( ~ c0_1(a358)
        & c2_1(a358)
        & ~ c3_1(a358)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( c0_1(a325)
        & c1_1(a325)
        & ndr1_0
        & ~ c2_1(a325) )
      | ~ hskp3 )
    & ( ( c3_1(a333)
        & c1_1(a333)
        & ndr1_0
        & c0_1(a333) )
      | ~ hskp26 )
    & ( hskp5
      | ! [X79] :
          ( c3_1(X79)
          | ~ ndr1_0
          | c2_1(X79)
          | c0_1(X79) )
      | hskp10 )
    & ( hskp10
      | hskp3
      | ! [X80] :
          ( ~ c2_1(X80)
          | ~ ndr1_0
          | ~ c3_1(X80)
          | ~ c1_1(X80) ) )
    & ( ! [X81] :
          ( c0_1(X81)
          | ~ ndr1_0
          | c1_1(X81)
          | ~ c3_1(X81) )
      | hskp7
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c0_1(X82)
          | ~ c2_1(X82)
          | ~ c1_1(X82) ) )
    & ( hskp28
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c3_1(X83)
          | c2_1(X83)
          | ~ c1_1(X83) ) )
    & ( ( ~ c1_1(a347)
        & ndr1_0
        & c2_1(a347)
        & c3_1(a347) )
      | ~ hskp14 )
    & ( hskp27
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c2_1(X84)
          | ~ c0_1(X84)
          | c1_1(X84) )
      | hskp26 )
    & ( hskp27
      | ! [X85] :
          ( ~ c3_1(X85)
          | c2_1(X85)
          | ~ ndr1_0
          | c0_1(X85) )
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c1_1(X86)
          | c0_1(X86)
          | c3_1(X86) ) )
    & ( ~ hskp21
      | ( c3_1(a359)
        & ndr1_0
        & ~ c0_1(a359)
        & ~ c2_1(a359) ) )
    & ( ! [X87] :
          ( c2_1(X87)
          | ~ c1_1(X87)
          | ~ ndr1_0
          | c3_1(X87) )
      | ! [X88] :
          ( c1_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0
          | ~ c2_1(X88) )
      | ! [X89] :
          ( ~ c1_1(X89)
          | c0_1(X89)
          | c3_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X90] :
          ( ~ c0_1(X90)
          | c2_1(X90)
          | c1_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ ndr1_0
          | c1_1(X91)
          | c0_1(X91)
          | ~ c3_1(X91) ) )
    & ( hskp1
      | hskp2
      | ! [X92] :
          ( ~ c0_1(X92)
          | ~ c2_1(X92)
          | ~ ndr1_0
          | c3_1(X92) ) )
    & ( ! [X93] :
          ( c2_1(X93)
          | ~ c0_1(X93)
          | ~ ndr1_0
          | c3_1(X93) )
      | hskp10
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c1_1(X94)
          | ~ c0_1(X94)
          | ~ c2_1(X94) ) )
    & ( ~ hskp1
      | ( ~ c1_1(a323)
        & ~ c2_1(a323)
        & ~ c3_1(a323)
        & ndr1_0 ) )
    & ( ( c3_1(a377)
        & ~ c0_1(a377)
        & ndr1_0
        & c1_1(a377) )
      | ~ hskp23 )
    & ( hskp3
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c0_1(X95)
          | c3_1(X95)
          | ~ c2_1(X95) )
      | hskp10 )
    & ( ! [X96] :
          ( ~ c2_1(X96)
          | ~ ndr1_0
          | ~ c3_1(X96)
          | c0_1(X96) )
      | ! [X97] :
          ( c3_1(X97)
          | ~ ndr1_0
          | ~ c2_1(X97)
          | ~ c0_1(X97) )
      | hskp4 )
    & ( hskp17
      | hskp8
      | hskp24 )
    & ( ! [X98] :
          ( c1_1(X98)
          | c2_1(X98)
          | ~ ndr1_0
          | c0_1(X98) )
      | ! [X99] :
          ( ~ c2_1(X99)
          | c3_1(X99)
          | c1_1(X99)
          | ~ ndr1_0 )
      | hskp2 )
    & ( hskp17
      | ! [X100] :
          ( ~ c3_1(X100)
          | ~ ndr1_0
          | ~ c2_1(X100)
          | c0_1(X100) )
      | hskp18 )
    & ( ! [X101] :
          ( ~ ndr1_0
          | c1_1(X101)
          | ~ c2_1(X101)
          | c0_1(X101) )
      | ! [X102] :
          ( ~ c3_1(X102)
          | ~ c1_1(X102)
          | ~ c2_1(X102)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a334)
        & ~ c1_1(a334)
        & ~ c0_1(a334) ) )
    & ( ! [X103] :
          ( ~ c0_1(X103)
          | ~ ndr1_0
          | ~ c2_1(X103)
          | c1_1(X103) )
      | ! [X104] :
          ( ~ c1_1(X104)
          | c3_1(X104)
          | ~ ndr1_0
          | ~ c0_1(X104) )
      | hskp19 )
    & ( ! [X105] :
          ( ~ c1_1(X105)
          | ~ ndr1_0
          | ~ c0_1(X105)
          | ~ c2_1(X105) )
      | hskp24
      | hskp17 )
    & ( hskp22
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c3_1(X106)
          | ~ c2_1(X106)
          | ~ c1_1(X106) )
      | ! [X107] :
          ( c1_1(X107)
          | ~ c2_1(X107)
          | ~ ndr1_0
          | ~ c3_1(X107) ) )
    & ( ~ hskp17
      | ( c2_1(a353)
        & ~ c0_1(a353)
        & ndr1_0
        & c1_1(a353) ) )
    & ( ! [X108] :
          ( c2_1(X108)
          | ~ ndr1_0
          | ~ c3_1(X108)
          | c0_1(X108) )
      | hskp7
      | ! [X109] :
          ( ~ ndr1_0
          | c0_1(X109)
          | c3_1(X109)
          | ~ c1_1(X109) ) )
    & ( ! [X110] :
          ( ~ c0_1(X110)
          | ~ ndr1_0
          | ~ c3_1(X110)
          | c1_1(X110) )
      | hskp19
      | ! [X111] :
          ( c1_1(X111)
          | ~ ndr1_0
          | ~ c2_1(X111)
          | c3_1(X111) ) )
    & ( ! [X112] :
          ( c3_1(X112)
          | ~ c2_1(X112)
          | ~ c1_1(X112)
          | ~ ndr1_0 )
      | hskp4
      | ! [X113] :
          ( c0_1(X113)
          | ~ ndr1_0
          | ~ c1_1(X113)
          | c2_1(X113) ) )
    & ( hskp15
      | hskp16
      | ! [X114] :
          ( c2_1(X114)
          | ~ ndr1_0
          | c3_1(X114)
          | c1_1(X114) ) )
    & ( ! [X115] :
          ( ~ ndr1_0
          | ~ c0_1(X115)
          | c2_1(X115)
          | ~ c3_1(X115) )
      | hskp2
      | ! [X116] :
          ( ~ ndr1_0
          | c1_1(X116)
          | c2_1(X116)
          | ~ c3_1(X116) ) )
    & ( hskp22
      | hskp7
      | ! [X117] :
          ( ~ c0_1(X117)
          | c2_1(X117)
          | ~ ndr1_0
          | c1_1(X117) ) )
    & ( ~ hskp11
      | ( ~ c2_1(a338)
        & ndr1_0
        & ~ c1_1(a338)
        & ~ c0_1(a338) ) )
    & ( ( ~ c1_1(a367)
        & c3_1(a367)
        & ndr1_0
        & ~ c2_1(a367) )
      | ~ hskp22 )
    & ( ! [X118] :
          ( ~ ndr1_0
          | ~ c1_1(X118)
          | c0_1(X118)
          | ~ c2_1(X118) )
      | hskp5
      | ! [X119] :
          ( ~ c2_1(X119)
          | c1_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 ) )
    & ( ! [X120] :
          ( ~ ndr1_0
          | ~ c3_1(X120)
          | ~ c0_1(X120)
          | ~ c2_1(X120) )
      | ! [X121] :
          ( ~ ndr1_0
          | ~ c1_1(X121)
          | c0_1(X121)
          | c2_1(X121) )
      | ! [X122] :
          ( c2_1(X122)
          | ~ ndr1_0
          | ~ c0_1(X122)
          | ~ c3_1(X122) ) )
    & ( hskp5
      | ! [X123] :
          ( ~ c2_1(X123)
          | c3_1(X123)
          | ~ ndr1_0
          | c1_1(X123) )
      | ! [X124] :
          ( ~ c2_1(X124)
          | ~ c0_1(X124)
          | c1_1(X124)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp13
      | ! [X125] :
          ( ~ c0_1(X125)
          | c2_1(X125)
          | ~ c1_1(X125)
          | ~ ndr1_0 ) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,plain,
    ( ( hskp17
      | ! [X9] :
          ( ~ c1_1(X9)
          | c2_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ ndr1_0
          | ~ c3_1(X10)
          | c1_1(X10) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c2_1(a332)
        & ~ c3_1(a332)
        & ~ c0_1(a332) ) )
    & ( ! [X122] :
          ( ~ ndr1_0
          | c2_1(X122)
          | c0_1(X122)
          | ~ c3_1(X122) )
      | hskp28
      | ! [X123] :
          ( c2_1(X123)
          | ~ ndr1_0
          | ~ c3_1(X123)
          | ~ c0_1(X123) ) )
    & ( hskp14
      | ! [X109] :
          ( c1_1(X109)
          | c3_1(X109)
          | ~ ndr1_0
          | c2_1(X109) )
      | hskp5 )
    & ( ( ~ c3_1(a324)
        & ndr1_0
        & ~ c1_1(a324)
        & ~ c0_1(a324) )
      | ~ hskp2 )
    & ( ! [X77] :
          ( c2_1(X77)
          | c1_1(X77)
          | ~ ndr1_0
          | c0_1(X77) )
      | hskp1
      | hskp5 )
    & ( ! [X18] :
          ( ~ c3_1(X18)
          | ~ c1_1(X18)
          | ~ ndr1_0
          | ~ c0_1(X18) )
      | hskp6
      | ! [X17] :
          ( c1_1(X17)
          | ~ ndr1_0
          | ~ c2_1(X17)
          | ~ c0_1(X17) ) )
    & ( hskp5
      | ! [X101] :
          ( ~ c2_1(X101)
          | ~ c0_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 )
      | hskp16 )
    & ( hskp17
      | hskp11
      | hskp18 )
    & ( ! [X31] :
          ( ~ ndr1_0
          | c2_1(X31)
          | ~ c0_1(X31)
          | c3_1(X31) )
      | hskp27
      | hskp28 )
    & ( ! [X112] :
          ( ~ c1_1(X112)
          | ~ ndr1_0
          | c3_1(X112)
          | ~ c2_1(X112) )
      | ! [X111] :
          ( c0_1(X111)
          | ~ ndr1_0
          | c2_1(X111)
          | ~ c1_1(X111) )
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c0_1(X110)
          | ~ c2_1(X110)
          | ~ c1_1(X110) ) )
    & ( ! [X105] :
          ( ~ c1_1(X105)
          | c0_1(X105)
          | ~ c2_1(X105)
          | ~ ndr1_0 )
      | hskp9
      | hskp16 )
    & ( hskp4
      | ! [X24] :
          ( c1_1(X24)
          | ~ ndr1_0
          | c0_1(X24)
          | c2_1(X24) )
      | hskp3 )
    & ( hskp11
      | hskp19
      | ! [X121] :
          ( c0_1(X121)
          | ~ ndr1_0
          | ~ c2_1(X121)
          | ~ c3_1(X121) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c2_1(a345)
        & c0_1(a345)
        & c3_1(a345) ) )
    & ( ~ hskp28
      | ( c1_1(a343)
        & c2_1(a343)
        & c0_1(a343)
        & ndr1_0 ) )
    & ( ! [X38] :
          ( ~ c2_1(X38)
          | c3_1(X38)
          | ~ ndr1_0
          | ~ c1_1(X38) )
      | hskp7
      | hskp28 )
    & ( ( c2_1(a322)
        & ndr1_0
        & c3_1(a322)
        & ~ c0_1(a322) )
      | ~ hskp0 )
    & ( ! [X34] :
          ( c2_1(X34)
          | c0_1(X34)
          | ~ ndr1_0
          | ~ c1_1(X34) )
      | hskp11
      | ! [X35] :
          ( c3_1(X35)
          | ~ c1_1(X35)
          | c0_1(X35)
          | ~ ndr1_0 ) )
    & ( ( ~ c2_1(a401)
        & ndr1_0
        & ~ c0_1(a401)
        & c1_1(a401) )
      | ~ hskp24 )
    & ( hskp1
      | hskp25
      | hskp11 )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c1_1(a326)
        & c0_1(a326)
        & c2_1(a326) ) )
    & ( ! [X86] :
          ( ~ ndr1_0
          | ~ c1_1(X86)
          | c2_1(X86)
          | c0_1(X86) )
      | ! [X87] :
          ( c1_1(X87)
          | ~ ndr1_0
          | c2_1(X87)
          | c0_1(X87) )
      | hskp0 )
    & ( ! [X27] :
          ( c2_1(X27)
          | ~ ndr1_0
          | c3_1(X27)
          | ~ c0_1(X27) )
      | ! [X28] :
          ( ~ c2_1(X28)
          | ~ ndr1_0
          | ~ c3_1(X28)
          | ~ c0_1(X28) )
      | ! [X26] :
          ( ~ c3_1(X26)
          | c2_1(X26)
          | ~ c0_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp3
      | ! [X0] :
          ( c2_1(X0)
          | c3_1(X0)
          | ~ ndr1_0
          | ~ c0_1(X0) ) )
    & ( ~ hskp15
      | ( ~ c1_1(a348)
        & ~ c3_1(a348)
        & c0_1(a348)
        & ndr1_0 ) )
    & ( ! [X49] :
          ( ~ ndr1_0
          | ~ c3_1(X49)
          | c1_1(X49)
          | ~ c0_1(X49) )
      | ! [X48] :
          ( ~ ndr1_0
          | c1_1(X48)
          | c3_1(X48)
          | c2_1(X48) )
      | hskp20 )
    & ( hskp14
      | ! [X119] :
          ( ~ c3_1(X119)
          | c2_1(X119)
          | ~ ndr1_0
          | ~ c1_1(X119) )
      | ! [X120] :
          ( ~ ndr1_0
          | c1_1(X120)
          | ~ c0_1(X120)
          | ~ c3_1(X120) ) )
    & ( ( c3_1(a349)
        & ~ c2_1(a349)
        & c1_1(a349)
        & ndr1_0 )
      | ~ hskp16 )
    & ( hskp13
      | hskp8
      | hskp4 )
    & ( ! [X53] :
          ( ~ c1_1(X53)
          | ~ c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c0_1(X54)
          | ~ c1_1(X54)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ( c1_1(a341)
        & ndr1_0
        & c2_1(a341)
        & c3_1(a341) )
      | ~ hskp27 )
    & ( hskp4
      | hskp16
      | ! [X83] :
          ( ~ c2_1(X83)
          | ~ ndr1_0
          | ~ c0_1(X83)
          | c3_1(X83) ) )
    & ( hskp16
      | hskp25 )
    & ( hskp15
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c2_1(X30)
          | c1_1(X30)
          | ~ c3_1(X30) ) )
    & ( ! [X55] :
          ( c3_1(X55)
          | ~ ndr1_0
          | c0_1(X55)
          | ~ c2_1(X55) )
      | hskp14
      | hskp13 )
    & ( ! [X90] :
          ( ~ c1_1(X90)
          | ~ ndr1_0
          | c0_1(X90)
          | c2_1(X90) )
      | ! [X89] :
          ( ~ c0_1(X89)
          | c2_1(X89)
          | c3_1(X89)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c2_1(X91)
          | c1_1(X91)
          | ~ c0_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X5] :
          ( c1_1(X5)
          | ~ c3_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0
          | c2_1(X6) )
      | hskp12 )
    & ( ( ~ c3_1(a354)
        & ~ c2_1(a354)
        & ndr1_0
        & c1_1(a354) )
      | ~ hskp18 )
    & ( hskp15
      | ! [X37] :
          ( c0_1(X37)
          | ~ ndr1_0
          | ~ c2_1(X37)
          | ~ c1_1(X37) )
      | ! [X36] :
          ( c1_1(X36)
          | ~ ndr1_0
          | c2_1(X36)
          | ~ c0_1(X36) ) )
    & ( ! [X81] :
          ( ~ ndr1_0
          | ~ c0_1(X81)
          | ~ c2_1(X81)
          | ~ c1_1(X81) )
      | ! [X82] :
          ( c1_1(X82)
          | ~ ndr1_0
          | ~ c3_1(X82)
          | c2_1(X82) )
      | ! [X80] :
          ( c2_1(X80)
          | ~ ndr1_0
          | ~ c3_1(X80)
          | ~ c1_1(X80) ) )
    & ( hskp5
      | ! [X64] :
          ( c0_1(X64)
          | ~ c1_1(X64)
          | c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c3_1(X65)
          | ~ c2_1(X65)
          | ~ ndr1_0
          | c1_1(X65) ) )
    & ( ! [X72] :
          ( ~ ndr1_0
          | c3_1(X72)
          | c0_1(X72)
          | c1_1(X72) )
      | hskp7
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c2_1(X73)
          | ~ c0_1(X73)
          | ~ c3_1(X73) ) )
    & ( ( ndr1_0
        & ~ c3_1(a327)
        & c1_1(a327)
        & c0_1(a327) )
      | ~ hskp5 )
    & ( hskp8
      | ! [X52] :
          ( ~ c1_1(X52)
          | ~ ndr1_0
          | c3_1(X52)
          | ~ c0_1(X52) )
      | ! [X51] :
          ( c2_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0
          | ~ c0_1(X51) ) )
    & ( ! [X115] :
          ( c2_1(X115)
          | ~ ndr1_0
          | ~ c1_1(X115)
          | ~ c3_1(X115) )
      | ! [X114] :
          ( ~ ndr1_0
          | c2_1(X114)
          | c1_1(X114)
          | ~ c0_1(X114) )
      | ! [X113] :
          ( c0_1(X113)
          | ~ c3_1(X113)
          | ~ c1_1(X113)
          | ~ ndr1_0 ) )
    & ( ! [X32] :
          ( c0_1(X32)
          | c3_1(X32)
          | ~ ndr1_0
          | c1_1(X32) )
      | hskp6
      | ! [X33] :
          ( ~ c1_1(X33)
          | ~ c0_1(X33)
          | ~ ndr1_0
          | ~ c2_1(X33) ) )
    & ( hskp1
      | ! [X1] :
          ( c1_1(X1)
          | c0_1(X1)
          | ~ ndr1_0
          | c2_1(X1) )
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ ndr1_0
          | c2_1(X2)
          | c0_1(X2) ) )
    & ( hskp12
      | ! [X93] :
          ( ~ c0_1(X93)
          | ~ c2_1(X93)
          | c1_1(X93)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c0_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0
          | ~ c1_1(X92) ) )
    & ( hskp14
      | hskp12
      | hskp17 )
    & ( ! [X98] :
          ( c2_1(X98)
          | ~ ndr1_0
          | ~ c0_1(X98)
          | c1_1(X98) )
      | hskp0
      | hskp19 )
    & ( ! [X75] :
          ( ~ c3_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0
          | ~ c2_1(X75) )
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c1_1(X74)
          | c2_1(X74)
          | ~ c0_1(X74) )
      | hskp20 )
    & ( hskp3
      | hskp5
      | hskp4 )
    & ( ! [X22] :
          ( ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0
          | ~ c3_1(X22) )
      | ! [X23] :
          ( c0_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0
          | c1_1(X23) )
      | ! [X21] :
          ( c1_1(X21)
          | ~ ndr1_0
          | ~ c3_1(X21)
          | ~ c2_1(X21) ) )
    & ( ! [X61] :
          ( c1_1(X61)
          | c2_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | hskp21
      | ! [X60] :
          ( ~ c1_1(X60)
          | c3_1(X60)
          | ~ c0_1(X60)
          | ~ ndr1_0 ) )
    & ( ~ hskp6
      | ( ~ c1_1(a329)
        & ndr1_0
        & ~ c3_1(a329)
        & c2_1(a329) ) )
    & ( hskp23
      | hskp22
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c0_1(X76)
          | ~ c3_1(X76)
          | c1_1(X76) ) )
    & ( ( ~ c1_1(a330)
        & ndr1_0
        & c3_1(a330)
        & ~ c0_1(a330) )
      | ~ hskp7 )
    & ( hskp26
      | hskp24
      | hskp2 )
    & ( ! [X46] :
          ( ~ c1_1(X46)
          | ~ ndr1_0
          | c3_1(X46)
          | c0_1(X46) )
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c0_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ~ hskp25
      | ( c0_1(a419)
        & ndr1_0
        & ~ c1_1(a419)
        & ~ c2_1(a419) ) )
    & ( ( ~ c3_1(a355)
        & c1_1(a355)
        & c2_1(a355)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ! [X85] :
          ( ~ c3_1(X85)
          | c1_1(X85)
          | ~ ndr1_0
          | ~ c0_1(X85) )
      | hskp12
      | ! [X84] :
          ( c0_1(X84)
          | ~ ndr1_0
          | ~ c2_1(X84)
          | c3_1(X84) ) )
    & ( ! [X43] :
          ( c2_1(X43)
          | ~ ndr1_0
          | c0_1(X43)
          | ~ c3_1(X43) )
      | ! [X41] :
          ( c2_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0
          | c1_1(X41) )
      | ! [X42] :
          ( ~ c2_1(X42)
          | c1_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp7 )
    & ( ! [X100] :
          ( c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0
          | ~ c3_1(X100) )
      | hskp9
      | ! [X99] :
          ( ~ ndr1_0
          | c1_1(X99)
          | ~ c0_1(X99)
          | c2_1(X99) ) )
    & ( ( ndr1_0
        & ~ c3_1(a346)
        & c2_1(a346)
        & c0_1(a346) )
      | ~ hskp13 )
    & ( ! [X67] :
          ( ~ c0_1(X67)
          | c1_1(X67)
          | c3_1(X67)
          | ~ ndr1_0 )
      | hskp22
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c0_1(X66)
          | c2_1(X66)
          | c3_1(X66) ) )
    & ( ( c0_1(a337)
        & ndr1_0
        & ~ c2_1(a337)
        & ~ c3_1(a337) )
      | ~ hskp10 )
    & ( ( ~ c0_1(a358)
        & c2_1(a358)
        & ~ c3_1(a358)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( c0_1(a325)
        & c1_1(a325)
        & ndr1_0
        & ~ c2_1(a325) )
      | ~ hskp3 )
    & ( ( c3_1(a333)
        & c1_1(a333)
        & ndr1_0
        & c0_1(a333) )
      | ~ hskp26 )
    & ( hskp5
      | ! [X63] :
          ( c3_1(X63)
          | ~ ndr1_0
          | c2_1(X63)
          | c0_1(X63) )
      | hskp10 )
    & ( hskp10
      | hskp3
      | ! [X59] :
          ( ~ c2_1(X59)
          | ~ ndr1_0
          | ~ c3_1(X59)
          | ~ c1_1(X59) ) )
    & ( ! [X13] :
          ( c0_1(X13)
          | ~ ndr1_0
          | c1_1(X13)
          | ~ c3_1(X13) )
      | hskp7
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c0_1(X14)
          | ~ c2_1(X14)
          | ~ c1_1(X14) ) )
    & ( hskp28
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c3_1(X29)
          | c2_1(X29)
          | ~ c1_1(X29) ) )
    & ( ( ~ c1_1(a347)
        & ndr1_0
        & c2_1(a347)
        & c3_1(a347) )
      | ~ hskp14 )
    & ( hskp27
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c2_1(X25)
          | ~ c0_1(X25)
          | c1_1(X25) )
      | hskp26 )
    & ( hskp27
      | ! [X40] :
          ( ~ c3_1(X40)
          | c2_1(X40)
          | ~ ndr1_0
          | c0_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c1_1(X39)
          | c0_1(X39)
          | c3_1(X39) ) )
    & ( ~ hskp21
      | ( c3_1(a359)
        & ndr1_0
        & ~ c0_1(a359)
        & ~ c2_1(a359) ) )
    & ( ! [X106] :
          ( c2_1(X106)
          | ~ c1_1(X106)
          | ~ ndr1_0
          | c3_1(X106) )
      | ! [X108] :
          ( c1_1(X108)
          | ~ c0_1(X108)
          | ~ ndr1_0
          | ~ c2_1(X108) )
      | ! [X107] :
          ( ~ c1_1(X107)
          | c0_1(X107)
          | c3_1(X107)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X44] :
          ( ~ c0_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ ndr1_0
          | c1_1(X45)
          | c0_1(X45)
          | ~ c3_1(X45) ) )
    & ( hskp1
      | hskp2
      | ! [X104] :
          ( ~ c0_1(X104)
          | ~ c2_1(X104)
          | ~ ndr1_0
          | c3_1(X104) ) )
    & ( ! [X4] :
          ( c2_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0
          | c3_1(X4) )
      | hskp10
      | ! [X3] :
          ( ~ ndr1_0
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ c2_1(X3) ) )
    & ( ~ hskp1
      | ( ~ c1_1(a323)
        & ~ c2_1(a323)
        & ~ c3_1(a323)
        & ndr1_0 ) )
    & ( ( c3_1(a377)
        & ~ c0_1(a377)
        & ndr1_0
        & c1_1(a377) )
      | ~ hskp23 )
    & ( hskp3
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c0_1(X62)
          | c3_1(X62)
          | ~ c2_1(X62) )
      | hskp10 )
    & ( ! [X117] :
          ( ~ c2_1(X117)
          | ~ ndr1_0
          | ~ c3_1(X117)
          | c0_1(X117) )
      | ! [X118] :
          ( c3_1(X118)
          | ~ ndr1_0
          | ~ c2_1(X118)
          | ~ c0_1(X118) )
      | hskp4 )
    & ( hskp17
      | hskp8
      | hskp24 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c2_1(X78)
          | ~ ndr1_0
          | c0_1(X78) )
      | ! [X79] :
          ( ~ c2_1(X79)
          | c3_1(X79)
          | c1_1(X79)
          | ~ ndr1_0 )
      | hskp2 )
    & ( hskp17
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ ndr1_0
          | ~ c2_1(X7)
          | c0_1(X7) )
      | hskp18 )
    & ( ! [X97] :
          ( ~ ndr1_0
          | c1_1(X97)
          | ~ c2_1(X97)
          | c0_1(X97) )
      | ! [X96] :
          ( ~ c3_1(X96)
          | ~ c1_1(X96)
          | ~ c2_1(X96)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a334)
        & ~ c1_1(a334)
        & ~ c0_1(a334) ) )
    & ( ! [X20] :
          ( ~ c0_1(X20)
          | ~ ndr1_0
          | ~ c2_1(X20)
          | c1_1(X20) )
      | ! [X19] :
          ( ~ c1_1(X19)
          | c3_1(X19)
          | ~ ndr1_0
          | ~ c0_1(X19) )
      | hskp19 )
    & ( ! [X8] :
          ( ~ c1_1(X8)
          | ~ ndr1_0
          | ~ c0_1(X8)
          | ~ c2_1(X8) )
      | hskp24
      | hskp17 )
    & ( hskp22
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c3_1(X95)
          | ~ c2_1(X95)
          | ~ c1_1(X95) )
      | ! [X94] :
          ( c1_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0
          | ~ c3_1(X94) ) )
    & ( ~ hskp17
      | ( c2_1(a353)
        & ~ c0_1(a353)
        & ndr1_0
        & c1_1(a353) ) )
    & ( ! [X71] :
          ( c2_1(X71)
          | ~ ndr1_0
          | ~ c3_1(X71)
          | c0_1(X71) )
      | hskp7
      | ! [X70] :
          ( ~ ndr1_0
          | c0_1(X70)
          | c3_1(X70)
          | ~ c1_1(X70) ) )
    & ( ! [X11] :
          ( ~ c0_1(X11)
          | ~ ndr1_0
          | ~ c3_1(X11)
          | c1_1(X11) )
      | hskp19
      | ! [X12] :
          ( c1_1(X12)
          | ~ ndr1_0
          | ~ c2_1(X12)
          | c3_1(X12) ) )
    & ( ! [X125] :
          ( c3_1(X125)
          | ~ c2_1(X125)
          | ~ c1_1(X125)
          | ~ ndr1_0 )
      | hskp4
      | ! [X124] :
          ( c0_1(X124)
          | ~ ndr1_0
          | ~ c1_1(X124)
          | c2_1(X124) ) )
    & ( hskp15
      | hskp16
      | ! [X88] :
          ( c2_1(X88)
          | ~ ndr1_0
          | c3_1(X88)
          | c1_1(X88) ) )
    & ( ! [X103] :
          ( ~ ndr1_0
          | ~ c0_1(X103)
          | c2_1(X103)
          | ~ c3_1(X103) )
      | hskp2
      | ! [X102] :
          ( ~ ndr1_0
          | c1_1(X102)
          | c2_1(X102)
          | ~ c3_1(X102) ) )
    & ( hskp22
      | hskp7
      | ! [X116] :
          ( ~ c0_1(X116)
          | c2_1(X116)
          | ~ ndr1_0
          | c1_1(X116) ) )
    & ( ~ hskp11
      | ( ~ c2_1(a338)
        & ndr1_0
        & ~ c1_1(a338)
        & ~ c0_1(a338) ) )
    & ( ( ~ c1_1(a367)
        & c3_1(a367)
        & ndr1_0
        & ~ c2_1(a367) )
      | ~ hskp22 )
    & ( ! [X68] :
          ( ~ ndr1_0
          | ~ c1_1(X68)
          | c0_1(X68)
          | ~ c2_1(X68) )
      | hskp5
      | ! [X69] :
          ( ~ c2_1(X69)
          | c1_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( ! [X58] :
          ( ~ ndr1_0
          | ~ c3_1(X58)
          | ~ c0_1(X58)
          | ~ c2_1(X58) )
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c1_1(X56)
          | c0_1(X56)
          | c2_1(X56) )
      | ! [X57] :
          ( c2_1(X57)
          | ~ ndr1_0
          | ~ c0_1(X57)
          | ~ c3_1(X57) ) )
    & ( hskp5
      | ! [X15] :
          ( ~ c2_1(X15)
          | c3_1(X15)
          | ~ ndr1_0
          | c1_1(X15) )
      | ! [X16] :
          ( ~ c2_1(X16)
          | ~ c0_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp13
      | ! [X50] :
          ( ~ c0_1(X50)
          | c2_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 ) ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | c2_1(X1)
          | ~ ndr1_0 )
      | hskp1
      | ! [X2] :
          ( ~ c3_1(X2)
          | c2_1(X2)
          | c0_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X13] :
          ( c1_1(X13)
          | c0_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c1_1(X14)
          | ~ c2_1(X14)
          | ~ c0_1(X14)
          | ~ ndr1_0 )
      | hskp7 )
    & ( hskp4
      | ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ( c3_1(a349)
        & ~ c2_1(a349)
        & c1_1(a349)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ~ hskp21
      | ( c3_1(a359)
        & ndr1_0
        & ~ c0_1(a359)
        & ~ c2_1(a359) ) )
    & ( ( c1_1(a341)
        & ndr1_0
        & c2_1(a341)
        & c3_1(a341) )
      | ~ hskp27 )
    & ( ! [X26] :
          ( ~ c3_1(X26)
          | c2_1(X26)
          | ~ c0_1(X26)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c0_1(X28)
          | ~ c3_1(X28)
          | ~ c2_1(X28)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | c2_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X31] :
          ( c3_1(X31)
          | ~ c0_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 )
      | hskp28 )
    & ( hskp16
      | hskp25 )
    & ( ! [X106] :
          ( c3_1(X106)
          | ~ c1_1(X106)
          | c2_1(X106)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c0_1(X108)
          | c1_1(X108)
          | ~ c2_1(X108)
          | ~ ndr1_0 )
      | ! [X107] :
          ( ~ c1_1(X107)
          | c3_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c2_1(a345)
        & c0_1(a345)
        & c3_1(a345) ) )
    & ( ! [X55] :
          ( ~ c2_1(X55)
          | c3_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 )
      | hskp13
      | hskp14 )
    & ( ~ hskp15
      | ( ~ c1_1(a348)
        & ~ c3_1(a348)
        & c0_1(a348)
        & ndr1_0 ) )
    & ( hskp14
      | hskp12
      | hskp17 )
    & ( ~ hskp11
      | ( ~ c2_1(a338)
        & ndr1_0
        & ~ c1_1(a338)
        & ~ c0_1(a338) ) )
    & ( hskp22
      | ! [X66] :
          ( c2_1(X66)
          | c3_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c3_1(X67)
          | c1_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( ~ c1_1(X52)
          | c3_1(X52)
          | ~ c0_1(X52)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c1_1(X51)
          | c2_1(X51)
          | ~ c0_1(X51)
          | ~ ndr1_0 )
      | hskp8 )
    & ( hskp13
      | hskp12
      | ! [X50] :
          ( ~ c1_1(X50)
          | c2_1(X50)
          | ~ c0_1(X50)
          | ~ ndr1_0 ) )
    & ( ! [X15] :
          ( c1_1(X15)
          | ~ c2_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c1_1(X16)
          | ~ c2_1(X16)
          | ~ c0_1(X16)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a334)
        & ~ c1_1(a334)
        & ~ c0_1(a334) ) )
    & ( ( c3_1(a377)
        & ~ c0_1(a377)
        & ndr1_0
        & c1_1(a377) )
      | ~ hskp23 )
    & ( ( ~ c2_1(a401)
        & ndr1_0
        & ~ c0_1(a401)
        & c1_1(a401) )
      | ~ hskp24 )
    & ( ! [X109] :
          ( c2_1(X109)
          | c1_1(X109)
          | c3_1(X109)
          | ~ ndr1_0 )
      | hskp5
      | hskp14 )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c1_1(a326)
        & c0_1(a326)
        & c2_1(a326) ) )
    & ( ! [X20] :
          ( ~ c2_1(X20)
          | c1_1(X20)
          | ~ c0_1(X20)
          | ~ ndr1_0 )
      | hskp19
      | ! [X19] :
          ( ~ c1_1(X19)
          | c3_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a333)
        & c1_1(a333)
        & ndr1_0
        & c0_1(a333) )
      | ~ hskp26 )
    & ( hskp15
      | ! [X88] :
          ( c2_1(X88)
          | c3_1(X88)
          | c1_1(X88)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X25] :
          ( c1_1(X25)
          | ~ c0_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 )
      | hskp26
      | hskp27 )
    & ( ! [X98] :
          ( c1_1(X98)
          | ~ c0_1(X98)
          | c2_1(X98)
          | ~ ndr1_0 )
      | hskp19
      | hskp0 )
    & ( ! [X63] :
          ( c2_1(X63)
          | c0_1(X63)
          | c3_1(X63)
          | ~ ndr1_0 )
      | hskp5
      | hskp10 )
    & ( hskp7
      | ! [X116] :
          ( c1_1(X116)
          | c2_1(X116)
          | ~ c0_1(X116)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ( ~ c3_1(a355)
        & c1_1(a355)
        & c2_1(a355)
        & ndr1_0 )
      | ~ hskp19 )
    & ( hskp5
      | ! [X77] :
          ( c1_1(X77)
          | c0_1(X77)
          | c2_1(X77)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ( c0_1(a337)
        & ndr1_0
        & ~ c2_1(a337)
        & ~ c3_1(a337) )
      | ~ hskp10 )
    & ( ! [X119] :
          ( ~ c3_1(X119)
          | c2_1(X119)
          | ~ c1_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( c1_1(X120)
          | ~ c0_1(X120)
          | ~ c3_1(X120)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ~ hskp1
      | ( ~ c1_1(a323)
        & ~ c2_1(a323)
        & ~ c3_1(a323)
        & ndr1_0 ) )
    & ( ! [X47] :
          ( c2_1(X47)
          | ~ c0_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | hskp26
      | ! [X46] :
          ( c3_1(X46)
          | c0_1(X46)
          | ~ c1_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X85] :
          ( ~ c0_1(X85)
          | c1_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | hskp12
      | ! [X84] :
          ( c0_1(X84)
          | ~ c2_1(X84)
          | c3_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp8
      | hskp4 )
    & ( hskp15
      | ! [X30] :
          ( ~ c3_1(X30)
          | c1_1(X30)
          | ~ c2_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c0_1(X99)
          | c2_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c0_1(X100)
          | ~ c3_1(X100)
          | c1_1(X100)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X41] :
          ( c1_1(X41)
          | c2_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c2_1(X43)
          | ~ c3_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c1_1(X42)
          | ~ c2_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 ) )
    & ( ! [X125] :
          ( ~ c1_1(X125)
          | ~ c2_1(X125)
          | c3_1(X125)
          | ~ ndr1_0 )
      | ! [X124] :
          ( ~ c1_1(X124)
          | c0_1(X124)
          | c2_1(X124)
          | ~ ndr1_0 )
      | hskp4 )
    & ( hskp17
      | ! [X10] :
          ( c1_1(X10)
          | ~ c2_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c0_1(X9)
          | ~ c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( ! [X83] :
          ( ~ c0_1(X83)
          | c3_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0 )
      | hskp16
      | hskp4 )
    & ( ! [X112] :
          ( ~ c2_1(X112)
          | ~ c1_1(X112)
          | c3_1(X112)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c1_1(X111)
          | c0_1(X111)
          | c2_1(X111)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c1_1(X110)
          | ~ c0_1(X110)
          | ~ c2_1(X110)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp2
      | ! [X104] :
          ( c3_1(X104)
          | ~ c2_1(X104)
          | ~ c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X60] :
          ( ~ c1_1(X60)
          | c3_1(X60)
          | ~ c0_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c2_1(X61)
          | c1_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 ) )
    & ( ! [X122] :
          ( c2_1(X122)
          | ~ c3_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 )
      | hskp28
      | ! [X123] :
          ( c2_1(X123)
          | ~ c0_1(X123)
          | ~ c3_1(X123)
          | ~ ndr1_0 ) )
    & ( ! [X113] :
          ( ~ c3_1(X113)
          | ~ c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( ~ c0_1(X114)
          | c1_1(X114)
          | c2_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c2_1(X115)
          | ~ c3_1(X115)
          | ~ c1_1(X115)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X70] :
          ( c3_1(X70)
          | ~ c1_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c2_1(X71)
          | ~ c3_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( ( c0_1(a325)
        & c1_1(a325)
        & ndr1_0
        & ~ c2_1(a325) )
      | ~ hskp3 )
    & ( hskp3
      | ! [X0] :
          ( c3_1(X0)
          | c2_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 )
      | hskp8 )
    & ( hskp17
      | hskp11
      | hskp18 )
    & ( ( ~ c0_1(a358)
        & c2_1(a358)
        & ~ c3_1(a358)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ! [X7] :
          ( c0_1(X7)
          | ~ c2_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | hskp17
      | hskp18 )
    & ( hskp17
      | hskp8
      | hskp24 )
    & ( ! [X97] :
          ( c0_1(X97)
          | ~ c2_1(X97)
          | c1_1(X97)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c1_1(X96)
          | ~ c2_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X64] :
          ( ~ c1_1(X64)
          | c0_1(X64)
          | c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c3_1(X65)
          | c1_1(X65)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X80] :
          ( ~ c1_1(X80)
          | ~ c3_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c0_1(X81)
          | ~ c1_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c2_1(X82)
          | c1_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c2_1(a332)
        & ~ c3_1(a332)
        & ~ c0_1(a332) ) )
    & ( hskp3
      | hskp5
      | hskp4 )
    & ( hskp19
      | ! [X12] :
          ( c3_1(X12)
          | ~ c2_1(X12)
          | c1_1(X12)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c3_1(X11)
          | c1_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 ) )
    & ( ! [X78] :
          ( c1_1(X78)
          | c0_1(X78)
          | c2_1(X78)
          | ~ ndr1_0 )
      | hskp2
      | ! [X79] :
          ( c3_1(X79)
          | c1_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( c0_1(X56)
          | c2_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c2_1(X57)
          | ~ c0_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c0_1(X58)
          | ~ c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( c2_1(X48)
          | c3_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c0_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ~ hskp28
      | ( c1_1(a343)
        & c2_1(a343)
        & c0_1(a343)
        & ndr1_0 ) )
    & ( ( ~ c3_1(a354)
        & ~ c2_1(a354)
        & ndr1_0
        & c1_1(a354) )
      | ~ hskp18 )
    & ( hskp12
      | ! [X5] :
          ( ~ c3_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c2_1(X6)
          | c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp24
      | hskp2 )
    & ( ! [X23] :
          ( ~ c2_1(X23)
          | c1_1(X23)
          | c0_1(X23)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c2_1(X21)
          | ~ c3_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c0_1(X22)
          | ~ c3_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( c1_1(X102)
          | c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp2
      | ! [X103] :
          ( c2_1(X103)
          | ~ c0_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 ) )
    & ( ( ~ c1_1(a367)
        & c3_1(a367)
        & ndr1_0
        & ~ c2_1(a367) )
      | ~ hskp22 )
    & ( ! [X54] :
          ( ~ c0_1(X54)
          | ~ c3_1(X54)
          | ~ c1_1(X54)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | ~ c1_1(X53)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X121] :
          ( ~ c2_1(X121)
          | ~ c3_1(X121)
          | c0_1(X121)
          | ~ ndr1_0 )
      | hskp11
      | hskp19 )
    & ( hskp10
      | hskp3
      | ! [X62] :
          ( c3_1(X62)
          | ~ c0_1(X62)
          | ~ c2_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp22
      | ! [X76] :
          ( ~ c3_1(X76)
          | c1_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X69] :
          ( ~ c2_1(X69)
          | c1_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c2_1(X68)
          | ~ c1_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X73] :
          ( ~ c0_1(X73)
          | ~ c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c0_1(X72)
          | c1_1(X72)
          | c3_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X32] :
          ( c1_1(X32)
          | c3_1(X32)
          | c0_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c1_1(X33)
          | ~ c2_1(X33)
          | ~ c0_1(X33)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ~ hskp6
      | ( ~ c1_1(a329)
        & ndr1_0
        & ~ c3_1(a329)
        & c2_1(a329) ) )
    & ( ! [X101] :
          ( ~ c3_1(X101)
          | ~ c2_1(X101)
          | ~ c0_1(X101)
          | ~ ndr1_0 )
      | hskp16
      | hskp5 )
    & ( hskp24
      | hskp7 )
    & ( ~ hskp25
      | ( c0_1(a419)
        & ndr1_0
        & ~ c1_1(a419)
        & ~ c2_1(a419) ) )
    & ( ! [X4] :
          ( c2_1(X4)
          | ~ c0_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | hskp10
      | ! [X3] :
          ( ~ c0_1(X3)
          | ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( ~ c0_1(X89)
          | c3_1(X89)
          | c2_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c0_1(X90)
          | c2_1(X90)
          | ~ c1_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c0_1(X91)
          | c1_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X94] :
          ( ~ c2_1(X94)
          | ~ c3_1(X94)
          | c1_1(X94)
          | ~ ndr1_0 )
      | hskp22
      | ! [X95] :
          ( ~ c3_1(X95)
          | ~ c1_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 ) )
    & ( ~ hskp17
      | ( c2_1(a353)
        & ~ c0_1(a353)
        & ndr1_0
        & c1_1(a353) ) )
    & ( hskp15
      | ! [X36] :
          ( c1_1(X36)
          | c2_1(X36)
          | ~ c0_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c2_1(X37)
          | c0_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X59] :
          ( ~ c1_1(X59)
          | ~ c3_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 )
      | hskp3 )
    & ( hskp24
      | ! [X8] :
          ( ~ c0_1(X8)
          | ~ c2_1(X8)
          | ~ c1_1(X8)
          | ~ ndr1_0 )
      | hskp17 )
    & ( hskp4
      | ! [X117] :
          ( c0_1(X117)
          | ~ c3_1(X117)
          | ~ c2_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( ~ c0_1(X118)
          | ~ c2_1(X118)
          | c3_1(X118)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c3_1(a346)
        & c2_1(a346)
        & c0_1(a346) )
      | ~ hskp13 )
    & ( ! [X38] :
          ( c3_1(X38)
          | ~ c2_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | hskp28
      | hskp7 )
    & ( ! [X92] :
          ( ~ c1_1(X92)
          | c0_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c2_1(X93)
          | c1_1(X93)
          | ~ c0_1(X93)
          | ~ ndr1_0 )
      | hskp12 )
    & ( hskp9
      | hskp16
      | ! [X105] :
          ( ~ c2_1(X105)
          | c0_1(X105)
          | ~ c1_1(X105)
          | ~ ndr1_0 ) )
    & ( ( ~ c1_1(a330)
        & ndr1_0
        & c3_1(a330)
        & ~ c0_1(a330) )
      | ~ hskp7 )
    & ( ( ndr1_0
        & ~ c3_1(a327)
        & c1_1(a327)
        & c0_1(a327) )
      | ~ hskp5 )
    & ( hskp1
      | hskp25
      | hskp11 )
    & ( ! [X29] :
          ( ~ c1_1(X29)
          | c2_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X39] :
          ( c0_1(X39)
          | ~ c1_1(X39)
          | c3_1(X39)
          | ~ ndr1_0 )
      | hskp27
      | ! [X40] :
          ( c2_1(X40)
          | ~ c3_1(X40)
          | c0_1(X40)
          | ~ ndr1_0 ) )
    & ( ( ~ c1_1(a347)
        & ndr1_0
        & c2_1(a347)
        & c3_1(a347) )
      | ~ hskp14 )
    & ( ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | ~ c1_1(X18)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c2_1(X17)
          | ~ c0_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X75] :
          ( ~ c1_1(X75)
          | ~ c2_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c2_1(X74)
          | ~ c0_1(X74)
          | ~ c1_1(X74)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X35] :
          ( c3_1(X35)
          | ~ c1_1(X35)
          | c0_1(X35)
          | ~ ndr1_0 )
      | hskp11
      | ! [X34] :
          ( ~ c1_1(X34)
          | c2_1(X34)
          | c0_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X87] :
          ( c0_1(X87)
          | c2_1(X87)
          | c1_1(X87)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ( c2_1(a322)
        & ndr1_0
        & c3_1(a322)
        & ~ c0_1(a322) )
      | ~ hskp0 )
    & ( ( ~ c3_1(a324)
        & ndr1_0
        & ~ c1_1(a324)
        & ~ c0_1(a324) )
      | ~ hskp2 )
    & ( ! [X45] :
          ( c1_1(X45)
          | ~ c3_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 )
      | hskp26
      | ! [X44] :
          ( c2_1(X44)
          | c1_1(X44)
          | ~ c0_1(X44)
          | ~ ndr1_0 ) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c1_1(X1)
            | c2_1(X1) ) )
      | hskp1
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | c2_1(X2)
            | c0_1(X2) ) ) )
    & ( ! [X13] :
          ( ndr1_0
         => ( c1_1(X13)
            | c0_1(X13)
            | ~ c3_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c1_1(X14)
            | ~ c2_1(X14)
            | ~ c0_1(X14) ) )
      | hskp7 )
    & ( hskp4
      | ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c1_1(X24)
            | c2_1(X24) ) )
      | hskp3 )
    & ( ( c3_1(a349)
        & ~ c2_1(a349)
        & c1_1(a349)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ~ hskp21
      | ( c3_1(a359)
        & ndr1_0
        & ~ c0_1(a359)
        & ~ c2_1(a359) ) )
    & ( ( c1_1(a341)
        & ndr1_0
        & c2_1(a341)
        & c3_1(a341) )
      | ~ hskp27 )
    & ( ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | c2_1(X26)
            | ~ c0_1(X26) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c0_1(X28)
            | ~ c3_1(X28)
            | ~ c2_1(X28) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | c2_1(X27)
            | c3_1(X27) ) ) )
    & ( hskp27
      | ! [X31] :
          ( ndr1_0
         => ( c3_1(X31)
            | ~ c0_1(X31)
            | c2_1(X31) ) )
      | hskp28 )
    & ( hskp16
      | hskp25 )
    & ( ! [X106] :
          ( ndr1_0
         => ( c3_1(X106)
            | ~ c1_1(X106)
            | c2_1(X106) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c0_1(X108)
            | c1_1(X108)
            | ~ c2_1(X108) ) )
      | ! [X107] :
          ( ndr1_0
         => ( ~ c1_1(X107)
            | c3_1(X107)
            | c0_1(X107) ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c2_1(a345)
        & c0_1(a345)
        & c3_1(a345) ) )
    & ( ! [X55] :
          ( ndr1_0
         => ( ~ c2_1(X55)
            | c3_1(X55)
            | c0_1(X55) ) )
      | hskp13
      | hskp14 )
    & ( ~ hskp15
      | ( ~ c1_1(a348)
        & ~ c3_1(a348)
        & c0_1(a348)
        & ndr1_0 ) )
    & ( hskp14
      | hskp12
      | hskp17 )
    & ( ~ hskp11
      | ( ~ c2_1(a338)
        & ndr1_0
        & ~ c1_1(a338)
        & ~ c0_1(a338) ) )
    & ( hskp22
      | ! [X66] :
          ( ndr1_0
         => ( c2_1(X66)
            | c3_1(X66)
            | ~ c0_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c3_1(X67)
            | c1_1(X67)
            | ~ c0_1(X67) ) ) )
    & ( ! [X52] :
          ( ndr1_0
         => ( ~ c1_1(X52)
            | c3_1(X52)
            | ~ c0_1(X52) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c1_1(X51)
            | c2_1(X51)
            | ~ c0_1(X51) ) )
      | hskp8 )
    & ( hskp13
      | hskp12
      | ! [X50] :
          ( ndr1_0
         => ( ~ c1_1(X50)
            | c2_1(X50)
            | ~ c0_1(X50) ) ) )
    & ( ! [X15] :
          ( ndr1_0
         => ( c1_1(X15)
            | ~ c2_1(X15)
            | c3_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c1_1(X16)
            | ~ c2_1(X16)
            | ~ c0_1(X16) ) )
      | hskp5 )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a334)
        & ~ c1_1(a334)
        & ~ c0_1(a334) ) )
    & ( ( c3_1(a377)
        & ~ c0_1(a377)
        & ndr1_0
        & c1_1(a377) )
      | ~ hskp23 )
    & ( ( ~ c2_1(a401)
        & ndr1_0
        & ~ c0_1(a401)
        & c1_1(a401) )
      | ~ hskp24 )
    & ( ! [X109] :
          ( ndr1_0
         => ( c2_1(X109)
            | c1_1(X109)
            | c3_1(X109) ) )
      | hskp5
      | hskp14 )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c1_1(a326)
        & c0_1(a326)
        & c2_1(a326) ) )
    & ( ! [X20] :
          ( ndr1_0
         => ( ~ c2_1(X20)
            | c1_1(X20)
            | ~ c0_1(X20) ) )
      | hskp19
      | ! [X19] :
          ( ndr1_0
         => ( ~ c1_1(X19)
            | c3_1(X19)
            | ~ c0_1(X19) ) ) )
    & ( ( c3_1(a333)
        & c1_1(a333)
        & ndr1_0
        & c0_1(a333) )
      | ~ hskp26 )
    & ( hskp15
      | ! [X88] :
          ( ndr1_0
         => ( c2_1(X88)
            | c3_1(X88)
            | c1_1(X88) ) )
      | hskp16 )
    & ( ! [X25] :
          ( ndr1_0
         => ( c1_1(X25)
            | ~ c0_1(X25)
            | ~ c2_1(X25) ) )
      | hskp26
      | hskp27 )
    & ( ! [X98] :
          ( ndr1_0
         => ( c1_1(X98)
            | ~ c0_1(X98)
            | c2_1(X98) ) )
      | hskp19
      | hskp0 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c2_1(X63)
            | c0_1(X63)
            | c3_1(X63) ) )
      | hskp5
      | hskp10 )
    & ( hskp7
      | ! [X116] :
          ( ndr1_0
         => ( c1_1(X116)
            | c2_1(X116)
            | ~ c0_1(X116) ) )
      | hskp22 )
    & ( ( ~ c3_1(a355)
        & c1_1(a355)
        & c2_1(a355)
        & ndr1_0 )
      | ~ hskp19 )
    & ( hskp5
      | ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | c0_1(X77)
            | c2_1(X77) ) )
      | hskp1 )
    & ( ( c0_1(a337)
        & ndr1_0
        & ~ c2_1(a337)
        & ~ c3_1(a337) )
      | ~ hskp10 )
    & ( ! [X119] :
          ( ndr1_0
         => ( ~ c3_1(X119)
            | c2_1(X119)
            | ~ c1_1(X119) ) )
      | ! [X120] :
          ( ndr1_0
         => ( c1_1(X120)
            | ~ c0_1(X120)
            | ~ c3_1(X120) ) )
      | hskp14 )
    & ( ~ hskp1
      | ( ~ c1_1(a323)
        & ~ c2_1(a323)
        & ~ c3_1(a323)
        & ndr1_0 ) )
    & ( ! [X47] :
          ( ndr1_0
         => ( c2_1(X47)
            | ~ c0_1(X47)
            | ~ c3_1(X47) ) )
      | hskp26
      | ! [X46] :
          ( ndr1_0
         => ( c3_1(X46)
            | c0_1(X46)
            | ~ c1_1(X46) ) ) )
    & ( ! [X85] :
          ( ndr1_0
         => ( ~ c0_1(X85)
            | c1_1(X85)
            | ~ c3_1(X85) ) )
      | hskp12
      | ! [X84] :
          ( ndr1_0
         => ( c0_1(X84)
            | ~ c2_1(X84)
            | c3_1(X84) ) ) )
    & ( hskp13
      | hskp8
      | hskp4 )
    & ( hskp15
      | ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | c1_1(X30)
            | ~ c2_1(X30) ) ) )
    & ( ! [X99] :
          ( ndr1_0
         => ( c1_1(X99)
            | ~ c0_1(X99)
            | c2_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( c0_1(X100)
            | ~ c3_1(X100)
            | c1_1(X100) ) )
      | hskp9 )
    & ( ! [X41] :
          ( ndr1_0
         => ( c1_1(X41)
            | c2_1(X41)
            | ~ c0_1(X41) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c2_1(X43)
            | ~ c3_1(X43)
            | c0_1(X43) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c1_1(X42)
            | ~ c2_1(X42)
            | ~ c3_1(X42) ) ) )
    & ( ! [X125] :
          ( ndr1_0
         => ( ~ c1_1(X125)
            | ~ c2_1(X125)
            | c3_1(X125) ) )
      | ! [X124] :
          ( ndr1_0
         => ( ~ c1_1(X124)
            | c0_1(X124)
            | c2_1(X124) ) )
      | hskp4 )
    & ( hskp17
      | ! [X10] :
          ( ndr1_0
         => ( c1_1(X10)
            | ~ c2_1(X10)
            | ~ c3_1(X10) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c0_1(X9)
            | ~ c1_1(X9)
            | c2_1(X9) ) ) )
    & ( ! [X83] :
          ( ndr1_0
         => ( ~ c0_1(X83)
            | c3_1(X83)
            | ~ c2_1(X83) ) )
      | hskp16
      | hskp4 )
    & ( ! [X112] :
          ( ndr1_0
         => ( ~ c2_1(X112)
            | ~ c1_1(X112)
            | c3_1(X112) ) )
      | ! [X111] :
          ( ndr1_0
         => ( ~ c1_1(X111)
            | c0_1(X111)
            | c2_1(X111) ) )
      | ! [X110] :
          ( ndr1_0
         => ( ~ c1_1(X110)
            | ~ c0_1(X110)
            | ~ c2_1(X110) ) ) )
    & ( hskp1
      | hskp2
      | ! [X104] :
          ( ndr1_0
         => ( c3_1(X104)
            | ~ c2_1(X104)
            | ~ c0_1(X104) ) ) )
    & ( hskp21
      | ! [X60] :
          ( ndr1_0
         => ( ~ c1_1(X60)
            | c3_1(X60)
            | ~ c0_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c2_1(X61)
            | c1_1(X61)
            | c3_1(X61) ) ) )
    & ( ! [X122] :
          ( ndr1_0
         => ( c2_1(X122)
            | ~ c3_1(X122)
            | c0_1(X122) ) )
      | hskp28
      | ! [X123] :
          ( ndr1_0
         => ( c2_1(X123)
            | ~ c0_1(X123)
            | ~ c3_1(X123) ) ) )
    & ( ! [X113] :
          ( ndr1_0
         => ( ~ c3_1(X113)
            | ~ c1_1(X113)
            | c0_1(X113) ) )
      | ! [X114] :
          ( ndr1_0
         => ( ~ c0_1(X114)
            | c1_1(X114)
            | c2_1(X114) ) )
      | ! [X115] :
          ( ndr1_0
         => ( c2_1(X115)
            | ~ c3_1(X115)
            | ~ c1_1(X115) ) ) )
    & ( hskp7
      | ! [X70] :
          ( ndr1_0
         => ( c3_1(X70)
            | ~ c1_1(X70)
            | c0_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( c2_1(X71)
            | ~ c3_1(X71)
            | c0_1(X71) ) ) )
    & ( ( c0_1(a325)
        & c1_1(a325)
        & ndr1_0
        & ~ c2_1(a325) )
      | ~ hskp3 )
    & ( hskp3
      | ! [X0] :
          ( ndr1_0
         => ( c3_1(X0)
            | c2_1(X0)
            | ~ c0_1(X0) ) )
      | hskp8 )
    & ( hskp17
      | hskp11
      | hskp18 )
    & ( ( ~ c0_1(a358)
        & c2_1(a358)
        & ~ c3_1(a358)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | ~ c2_1(X7)
            | ~ c3_1(X7) ) )
      | hskp17
      | hskp18 )
    & ( hskp17
      | hskp8
      | hskp24 )
    & ( ! [X97] :
          ( ndr1_0
         => ( c0_1(X97)
            | ~ c2_1(X97)
            | c1_1(X97) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c1_1(X96)
            | ~ c2_1(X96)
            | ~ c3_1(X96) ) )
      | hskp8 )
    & ( ! [X64] :
          ( ndr1_0
         => ( ~ c1_1(X64)
            | c0_1(X64)
            | c2_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | ~ c3_1(X65)
            | c1_1(X65) ) )
      | hskp5 )
    & ( ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | ~ c3_1(X80)
            | c2_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c0_1(X81)
            | ~ c1_1(X81)
            | ~ c2_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( c2_1(X82)
            | c1_1(X82)
            | ~ c3_1(X82) ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c2_1(a332)
        & ~ c3_1(a332)
        & ~ c0_1(a332) ) )
    & ( hskp3
      | hskp5
      | hskp4 )
    & ( hskp19
      | ! [X12] :
          ( ndr1_0
         => ( c3_1(X12)
            | ~ c2_1(X12)
            | c1_1(X12) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | c1_1(X11)
            | ~ c0_1(X11) ) ) )
    & ( ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | c0_1(X78)
            | c2_1(X78) ) )
      | hskp2
      | ! [X79] :
          ( ndr1_0
         => ( c3_1(X79)
            | c1_1(X79)
            | ~ c2_1(X79) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | c2_1(X56)
            | ~ c1_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( c2_1(X57)
            | ~ c0_1(X57)
            | ~ c3_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c0_1(X58)
            | ~ c2_1(X58)
            | ~ c3_1(X58) ) ) )
    & ( ! [X48] :
          ( ndr1_0
         => ( c2_1(X48)
            | c3_1(X48)
            | c1_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c0_1(X49)
            | c1_1(X49) ) )
      | hskp20 )
    & ( ~ hskp28
      | ( c1_1(a343)
        & c2_1(a343)
        & c0_1(a343)
        & ndr1_0 ) )
    & ( ( ~ c3_1(a354)
        & ~ c2_1(a354)
        & ndr1_0
        & c1_1(a354) )
      | ~ hskp18 )
    & ( hskp12
      | ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | c1_1(X5)
            | c2_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c2_1(X6)
            | c1_1(X6)
            | c3_1(X6) ) ) )
    & ( hskp26
      | hskp24
      | hskp2 )
    & ( ! [X23] :
          ( ndr1_0
         => ( ~ c2_1(X23)
            | c1_1(X23)
            | c0_1(X23) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c2_1(X21)
            | ~ c3_1(X21)
            | c1_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c0_1(X22)
            | ~ c3_1(X22)
            | c1_1(X22) ) ) )
    & ( ! [X102] :
          ( ndr1_0
         => ( c1_1(X102)
            | c2_1(X102)
            | ~ c3_1(X102) ) )
      | hskp2
      | ! [X103] :
          ( ndr1_0
         => ( c2_1(X103)
            | ~ c0_1(X103)
            | ~ c3_1(X103) ) ) )
    & ( ( ~ c1_1(a367)
        & c3_1(a367)
        & ndr1_0
        & ~ c2_1(a367) )
      | ~ hskp22 )
    & ( ! [X54] :
          ( ndr1_0
         => ( ~ c0_1(X54)
            | ~ c3_1(X54)
            | ~ c1_1(X54) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c2_1(X53)
            | ~ c1_1(X53) ) )
      | hskp10 )
    & ( ! [X121] :
          ( ndr1_0
         => ( ~ c2_1(X121)
            | ~ c3_1(X121)
            | c0_1(X121) ) )
      | hskp11
      | hskp19 )
    & ( hskp10
      | hskp3
      | ! [X62] :
          ( ndr1_0
         => ( c3_1(X62)
            | ~ c0_1(X62)
            | ~ c2_1(X62) ) ) )
    & ( hskp23
      | hskp22
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | c1_1(X76)
            | ~ c0_1(X76) ) ) )
    & ( hskp5
      | ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | c1_1(X69)
            | c0_1(X69) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | ~ c1_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp7
      | ! [X73] :
          ( ndr1_0
         => ( ~ c0_1(X73)
            | ~ c2_1(X73)
            | ~ c3_1(X73) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c0_1(X72)
            | c1_1(X72)
            | c3_1(X72) ) ) )
    & ( ! [X32] :
          ( ndr1_0
         => ( c1_1(X32)
            | c3_1(X32)
            | c0_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c1_1(X33)
            | ~ c2_1(X33)
            | ~ c0_1(X33) ) )
      | hskp6 )
    & ( ~ hskp6
      | ( ~ c1_1(a329)
        & ndr1_0
        & ~ c3_1(a329)
        & c2_1(a329) ) )
    & ( ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | ~ c2_1(X101)
            | ~ c0_1(X101) ) )
      | hskp16
      | hskp5 )
    & ( hskp24
      | hskp7 )
    & ( ~ hskp25
      | ( c0_1(a419)
        & ndr1_0
        & ~ c1_1(a419)
        & ~ c2_1(a419) ) )
    & ( ! [X4] :
          ( ndr1_0
         => ( c2_1(X4)
            | ~ c0_1(X4)
            | c3_1(X4) ) )
      | hskp10
      | ! [X3] :
          ( ndr1_0
         => ( ~ c0_1(X3)
            | ~ c2_1(X3)
            | ~ c1_1(X3) ) ) )
    & ( ! [X89] :
          ( ndr1_0
         => ( ~ c0_1(X89)
            | c3_1(X89)
            | c2_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( c0_1(X90)
            | c2_1(X90)
            | ~ c1_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c0_1(X91)
            | c1_1(X91)
            | ~ c2_1(X91) ) ) )
    & ( ! [X94] :
          ( ndr1_0
         => ( ~ c2_1(X94)
            | ~ c3_1(X94)
            | c1_1(X94) ) )
      | hskp22
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | ~ c1_1(X95)
            | ~ c2_1(X95) ) ) )
    & ( ~ hskp17
      | ( c2_1(a353)
        & ~ c0_1(a353)
        & ndr1_0
        & c1_1(a353) ) )
    & ( hskp15
      | ! [X36] :
          ( ndr1_0
         => ( c1_1(X36)
            | c2_1(X36)
            | ~ c0_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | c0_1(X37)
            | ~ c1_1(X37) ) ) )
    & ( hskp10
      | ! [X59] :
          ( ndr1_0
         => ( ~ c1_1(X59)
            | ~ c3_1(X59)
            | ~ c2_1(X59) ) )
      | hskp3 )
    & ( hskp24
      | ! [X8] :
          ( ndr1_0
         => ( ~ c0_1(X8)
            | ~ c2_1(X8)
            | ~ c1_1(X8) ) )
      | hskp17 )
    & ( hskp4
      | ! [X117] :
          ( ndr1_0
         => ( c0_1(X117)
            | ~ c3_1(X117)
            | ~ c2_1(X117) ) )
      | ! [X118] :
          ( ndr1_0
         => ( ~ c0_1(X118)
            | ~ c2_1(X118)
            | c3_1(X118) ) ) )
    & ( ( ndr1_0
        & ~ c3_1(a346)
        & c2_1(a346)
        & c0_1(a346) )
      | ~ hskp13 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c3_1(X38)
            | ~ c2_1(X38)
            | ~ c1_1(X38) ) )
      | hskp28
      | hskp7 )
    & ( ! [X92] :
          ( ndr1_0
         => ( ~ c1_1(X92)
            | c0_1(X92)
            | ~ c3_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c2_1(X93)
            | c1_1(X93)
            | ~ c0_1(X93) ) )
      | hskp12 )
    & ( hskp9
      | hskp16
      | ! [X105] :
          ( ndr1_0
         => ( ~ c2_1(X105)
            | c0_1(X105)
            | ~ c1_1(X105) ) ) )
    & ( ( ~ c1_1(a330)
        & ndr1_0
        & c3_1(a330)
        & ~ c0_1(a330) )
      | ~ hskp7 )
    & ( ( ndr1_0
        & ~ c3_1(a327)
        & c1_1(a327)
        & c0_1(a327) )
      | ~ hskp5 )
    & ( hskp1
      | hskp25
      | hskp11 )
    & ( ! [X29] :
          ( ndr1_0
         => ( ~ c1_1(X29)
            | c2_1(X29)
            | ~ c3_1(X29) ) )
      | hskp28 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | ~ c1_1(X39)
            | c3_1(X39) ) )
      | hskp27
      | ! [X40] :
          ( ndr1_0
         => ( c2_1(X40)
            | ~ c3_1(X40)
            | c0_1(X40) ) ) )
    & ( ( ~ c1_1(a347)
        & ndr1_0
        & c2_1(a347)
        & c3_1(a347) )
      | ~ hskp14 )
    & ( ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c0_1(X18)
            | ~ c1_1(X18) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c2_1(X17)
            | ~ c0_1(X17)
            | c1_1(X17) ) )
      | hskp6 )
    & ( ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | ~ c2_1(X75)
            | ~ c3_1(X75) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c2_1(X74)
            | ~ c0_1(X74)
            | ~ c1_1(X74) ) )
      | hskp20 )
    & ( ! [X35] :
          ( ndr1_0
         => ( c3_1(X35)
            | ~ c1_1(X35)
            | c0_1(X35) ) )
      | hskp11
      | ! [X34] :
          ( ndr1_0
         => ( ~ c1_1(X34)
            | c2_1(X34)
            | c0_1(X34) ) ) )
    & ( ! [X87] :
          ( ndr1_0
         => ( c0_1(X87)
            | c2_1(X87)
            | c1_1(X87) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | c2_1(X86)
            | c0_1(X86) ) )
      | hskp0 )
    & ( ( c2_1(a322)
        & ndr1_0
        & c3_1(a322)
        & ~ c0_1(a322) )
      | ~ hskp0 )
    & ( ( ~ c3_1(a324)
        & ndr1_0
        & ~ c1_1(a324)
        & ~ c0_1(a324) )
      | ~ hskp2 )
    & ( ! [X45] :
          ( ndr1_0
         => ( c1_1(X45)
            | ~ c3_1(X45)
            | c0_1(X45) ) )
      | hskp26
      | ! [X44] :
          ( ndr1_0
         => ( c2_1(X44)
            | c1_1(X44)
            | ~ c0_1(X44) ) ) ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c2_1(X1) ) )
          | hskp1
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | c2_1(X2)
                | c0_1(X2) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( c1_1(X13)
                | c0_1(X13)
                | ~ c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | ~ c2_1(X14)
                | ~ c0_1(X14) ) )
          | hskp7 )
        & ( hskp4
          | ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c1_1(X24)
                | c2_1(X24) ) )
          | hskp3 )
        & ( ( c3_1(a349)
            & ~ c2_1(a349)
            & c1_1(a349)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ~ hskp21
          | ( c3_1(a359)
            & ndr1_0
            & ~ c0_1(a359)
            & ~ c2_1(a359) ) )
        & ( ( c1_1(a341)
            & ndr1_0
            & c2_1(a341)
            & c3_1(a341) )
          | ~ hskp27 )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | c2_1(X26)
                | ~ c0_1(X26) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | ~ c3_1(X28)
                | ~ c2_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | c2_1(X27)
                | c3_1(X27) ) ) )
        & ( hskp27
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | ~ c0_1(X31)
                | c2_1(X31) ) )
          | hskp28 )
        & ( hskp16
          | hskp25 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | ~ c1_1(X106)
                | c2_1(X106) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c0_1(X108)
                | c1_1(X108)
                | ~ c2_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | c3_1(X107)
                | c0_1(X107) ) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & ~ c2_1(a345)
            & c0_1(a345)
            & c3_1(a345) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | c3_1(X55)
                | c0_1(X55) ) )
          | hskp13
          | hskp14 )
        & ( ~ hskp15
          | ( ~ c1_1(a348)
            & ~ c3_1(a348)
            & c0_1(a348)
            & ndr1_0 ) )
        & ( hskp14
          | hskp12
          | hskp17 )
        & ( ~ hskp11
          | ( ~ c2_1(a338)
            & ndr1_0
            & ~ c1_1(a338)
            & ~ c0_1(a338) ) )
        & ( hskp22
          | ! [X66] :
              ( ndr1_0
             => ( c2_1(X66)
                | c3_1(X66)
                | ~ c0_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c3_1(X67)
                | c1_1(X67)
                | ~ c0_1(X67) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c3_1(X52)
                | ~ c0_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | c2_1(X51)
                | ~ c0_1(X51) ) )
          | hskp8 )
        & ( hskp13
          | hskp12
          | ! [X50] :
              ( ndr1_0
             => ( ~ c1_1(X50)
                | c2_1(X50)
                | ~ c0_1(X50) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( c1_1(X15)
                | ~ c2_1(X15)
                | c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c1_1(X16)
                | ~ c2_1(X16)
                | ~ c0_1(X16) ) )
          | hskp5 )
        & ( ~ hskp9
          | ( ndr1_0
            & c2_1(a334)
            & ~ c1_1(a334)
            & ~ c0_1(a334) ) )
        & ( ( c3_1(a377)
            & ~ c0_1(a377)
            & ndr1_0
            & c1_1(a377) )
          | ~ hskp23 )
        & ( ( ~ c2_1(a401)
            & ndr1_0
            & ~ c0_1(a401)
            & c1_1(a401) )
          | ~ hskp24 )
        & ( ! [X109] :
              ( ndr1_0
             => ( c2_1(X109)
                | c1_1(X109)
                | c3_1(X109) ) )
          | hskp5
          | hskp14 )
        & ( ~ hskp4
          | ( ndr1_0
            & ~ c1_1(a326)
            & c0_1(a326)
            & c2_1(a326) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c1_1(X20)
                | ~ c0_1(X20) ) )
          | hskp19
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c3_1(X19)
                | ~ c0_1(X19) ) ) )
        & ( ( c3_1(a333)
            & c1_1(a333)
            & ndr1_0
            & c0_1(a333) )
          | ~ hskp26 )
        & ( hskp15
          | ! [X88] :
              ( ndr1_0
             => ( c2_1(X88)
                | c3_1(X88)
                | c1_1(X88) ) )
          | hskp16 )
        & ( ! [X25] :
              ( ndr1_0
             => ( c1_1(X25)
                | ~ c0_1(X25)
                | ~ c2_1(X25) ) )
          | hskp26
          | hskp27 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c1_1(X98)
                | ~ c0_1(X98)
                | c2_1(X98) ) )
          | hskp19
          | hskp0 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c2_1(X63)
                | c0_1(X63)
                | c3_1(X63) ) )
          | hskp5
          | hskp10 )
        & ( hskp7
          | ! [X116] :
              ( ndr1_0
             => ( c1_1(X116)
                | c2_1(X116)
                | ~ c0_1(X116) ) )
          | hskp22 )
        & ( ( ~ c3_1(a355)
            & c1_1(a355)
            & c2_1(a355)
            & ndr1_0 )
          | ~ hskp19 )
        & ( hskp5
          | ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c0_1(X77)
                | c2_1(X77) ) )
          | hskp1 )
        & ( ( c0_1(a337)
            & ndr1_0
            & ~ c2_1(a337)
            & ~ c3_1(a337) )
          | ~ hskp10 )
        & ( ! [X119] :
              ( ndr1_0
             => ( ~ c3_1(X119)
                | c2_1(X119)
                | ~ c1_1(X119) ) )
          | ! [X120] :
              ( ndr1_0
             => ( c1_1(X120)
                | ~ c0_1(X120)
                | ~ c3_1(X120) ) )
          | hskp14 )
        & ( ~ hskp1
          | ( ~ c1_1(a323)
            & ~ c2_1(a323)
            & ~ c3_1(a323)
            & ndr1_0 ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( c2_1(X47)
                | ~ c0_1(X47)
                | ~ c3_1(X47) ) )
          | hskp26
          | ! [X46] :
              ( ndr1_0
             => ( c3_1(X46)
                | c0_1(X46)
                | ~ c1_1(X46) ) ) )
        & ( ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c1_1(X85)
                | ~ c3_1(X85) ) )
          | hskp12
          | ! [X84] :
              ( ndr1_0
             => ( c0_1(X84)
                | ~ c2_1(X84)
                | c3_1(X84) ) ) )
        & ( hskp13
          | hskp8
          | hskp4 )
        & ( hskp15
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | c1_1(X30)
                | ~ c2_1(X30) ) ) )
        & ( ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | ~ c0_1(X99)
                | c2_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c0_1(X100)
                | ~ c3_1(X100)
                | c1_1(X100) ) )
          | hskp9 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c1_1(X41)
                | c2_1(X41)
                | ~ c0_1(X41) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c2_1(X43)
                | ~ c3_1(X43)
                | c0_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c1_1(X42)
                | ~ c2_1(X42)
                | ~ c3_1(X42) ) ) )
        & ( ! [X125] :
              ( ndr1_0
             => ( ~ c1_1(X125)
                | ~ c2_1(X125)
                | c3_1(X125) ) )
          | ! [X124] :
              ( ndr1_0
             => ( ~ c1_1(X124)
                | c0_1(X124)
                | c2_1(X124) ) )
          | hskp4 )
        & ( hskp17
          | ! [X10] :
              ( ndr1_0
             => ( c1_1(X10)
                | ~ c2_1(X10)
                | ~ c3_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c0_1(X9)
                | ~ c1_1(X9)
                | c2_1(X9) ) ) )
        & ( ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | c3_1(X83)
                | ~ c2_1(X83) ) )
          | hskp16
          | hskp4 )
        & ( ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c1_1(X112)
                | c3_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | c0_1(X111)
                | c2_1(X111) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c1_1(X110)
                | ~ c0_1(X110)
                | ~ c2_1(X110) ) ) )
        & ( hskp1
          | hskp2
          | ! [X104] :
              ( ndr1_0
             => ( c3_1(X104)
                | ~ c2_1(X104)
                | ~ c0_1(X104) ) ) )
        & ( hskp21
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | c3_1(X60)
                | ~ c0_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c2_1(X61)
                | c1_1(X61)
                | c3_1(X61) ) ) )
        & ( ! [X122] :
              ( ndr1_0
             => ( c2_1(X122)
                | ~ c3_1(X122)
                | c0_1(X122) ) )
          | hskp28
          | ! [X123] :
              ( ndr1_0
             => ( c2_1(X123)
                | ~ c0_1(X123)
                | ~ c3_1(X123) ) ) )
        & ( ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c1_1(X113)
                | c0_1(X113) ) )
          | ! [X114] :
              ( ndr1_0
             => ( ~ c0_1(X114)
                | c1_1(X114)
                | c2_1(X114) ) )
          | ! [X115] :
              ( ndr1_0
             => ( c2_1(X115)
                | ~ c3_1(X115)
                | ~ c1_1(X115) ) ) )
        & ( hskp7
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | ~ c1_1(X70)
                | c0_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c2_1(X71)
                | ~ c3_1(X71)
                | c0_1(X71) ) ) )
        & ( ( c0_1(a325)
            & c1_1(a325)
            & ndr1_0
            & ~ c2_1(a325) )
          | ~ hskp3 )
        & ( hskp3
          | ! [X0] :
              ( ndr1_0
             => ( c3_1(X0)
                | c2_1(X0)
                | ~ c0_1(X0) ) )
          | hskp8 )
        & ( hskp17
          | hskp11
          | hskp18 )
        & ( ( ~ c0_1(a358)
            & c2_1(a358)
            & ~ c3_1(a358)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | ~ c2_1(X7)
                | ~ c3_1(X7) ) )
          | hskp17
          | hskp18 )
        & ( hskp17
          | hskp8
          | hskp24 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c0_1(X97)
                | ~ c2_1(X97)
                | c1_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c1_1(X96)
                | ~ c2_1(X96)
                | ~ c3_1(X96) ) )
          | hskp8 )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | c0_1(X64)
                | c2_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c3_1(X65)
                | c1_1(X65) ) )
          | hskp5 )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | ~ c3_1(X80)
                | c2_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | ~ c1_1(X81)
                | ~ c2_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | c1_1(X82)
                | ~ c3_1(X82) ) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & ~ c2_1(a332)
            & ~ c3_1(a332)
            & ~ c0_1(a332) ) )
        & ( hskp3
          | hskp5
          | hskp4 )
        & ( hskp19
          | ! [X12] :
              ( ndr1_0
             => ( c3_1(X12)
                | ~ c2_1(X12)
                | c1_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | c1_1(X11)
                | ~ c0_1(X11) ) ) )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c0_1(X78)
                | c2_1(X78) ) )
          | hskp2
          | ! [X79] :
              ( ndr1_0
             => ( c3_1(X79)
                | c1_1(X79)
                | ~ c2_1(X79) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | c2_1(X56)
                | ~ c1_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c2_1(X57)
                | ~ c0_1(X57)
                | ~ c3_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c0_1(X58)
                | ~ c2_1(X58)
                | ~ c3_1(X58) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( c2_1(X48)
                | c3_1(X48)
                | c1_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c0_1(X49)
                | c1_1(X49) ) )
          | hskp20 )
        & ( ~ hskp28
          | ( c1_1(a343)
            & c2_1(a343)
            & c0_1(a343)
            & ndr1_0 ) )
        & ( ( ~ c3_1(a354)
            & ~ c2_1(a354)
            & ndr1_0
            & c1_1(a354) )
          | ~ hskp18 )
        & ( hskp12
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | c1_1(X5)
                | c2_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c3_1(X6) ) ) )
        & ( hskp26
          | hskp24
          | hskp2 )
        & ( ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | c1_1(X23)
                | c0_1(X23) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c3_1(X21)
                | c1_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c0_1(X22)
                | ~ c3_1(X22)
                | c1_1(X22) ) ) )
        & ( ! [X102] :
              ( ndr1_0
             => ( c1_1(X102)
                | c2_1(X102)
                | ~ c3_1(X102) ) )
          | hskp2
          | ! [X103] :
              ( ndr1_0
             => ( c2_1(X103)
                | ~ c0_1(X103)
                | ~ c3_1(X103) ) ) )
        & ( ( ~ c1_1(a367)
            & c3_1(a367)
            & ndr1_0
            & ~ c2_1(a367) )
          | ~ hskp22 )
        & ( ! [X54] :
              ( ndr1_0
             => ( ~ c0_1(X54)
                | ~ c3_1(X54)
                | ~ c1_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c2_1(X53)
                | ~ c1_1(X53) ) )
          | hskp10 )
        & ( ! [X121] :
              ( ndr1_0
             => ( ~ c2_1(X121)
                | ~ c3_1(X121)
                | c0_1(X121) ) )
          | hskp11
          | hskp19 )
        & ( hskp10
          | hskp3
          | ! [X62] :
              ( ndr1_0
             => ( c3_1(X62)
                | ~ c0_1(X62)
                | ~ c2_1(X62) ) ) )
        & ( hskp23
          | hskp22
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c1_1(X76)
                | ~ c0_1(X76) ) ) )
        & ( hskp5
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | c1_1(X69)
                | c0_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c1_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp7
          | ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | ~ c2_1(X73)
                | ~ c3_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c0_1(X72)
                | c1_1(X72)
                | c3_1(X72) ) ) )
        & ( ! [X32] :
              ( ndr1_0
             => ( c1_1(X32)
                | c3_1(X32)
                | c0_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | ~ c2_1(X33)
                | ~ c0_1(X33) ) )
          | hskp6 )
        & ( ~ hskp6
          | ( ~ c1_1(a329)
            & ndr1_0
            & ~ c3_1(a329)
            & c2_1(a329) ) )
        & ( ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c2_1(X101)
                | ~ c0_1(X101) ) )
          | hskp16
          | hskp5 )
        & ( hskp24
          | hskp7 )
        & ( ~ hskp25
          | ( c0_1(a419)
            & ndr1_0
            & ~ c1_1(a419)
            & ~ c2_1(a419) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | ~ c0_1(X4)
                | c3_1(X4) ) )
          | hskp10
          | ! [X3] :
              ( ndr1_0
             => ( ~ c0_1(X3)
                | ~ c2_1(X3)
                | ~ c1_1(X3) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c3_1(X89)
                | c2_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c0_1(X90)
                | c2_1(X90)
                | ~ c1_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | c1_1(X91)
                | ~ c2_1(X91) ) ) )
        & ( ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | ~ c3_1(X94)
                | c1_1(X94) ) )
          | hskp22
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c1_1(X95)
                | ~ c2_1(X95) ) ) )
        & ( ~ hskp17
          | ( c2_1(a353)
            & ~ c0_1(a353)
            & ndr1_0
            & c1_1(a353) ) )
        & ( hskp15
          | ! [X36] :
              ( ndr1_0
             => ( c1_1(X36)
                | c2_1(X36)
                | ~ c0_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | c0_1(X37)
                | ~ c1_1(X37) ) ) )
        & ( hskp10
          | ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | ~ c3_1(X59)
                | ~ c2_1(X59) ) )
          | hskp3 )
        & ( hskp24
          | ! [X8] :
              ( ndr1_0
             => ( ~ c0_1(X8)
                | ~ c2_1(X8)
                | ~ c1_1(X8) ) )
          | hskp17 )
        & ( hskp4
          | ! [X117] :
              ( ndr1_0
             => ( c0_1(X117)
                | ~ c3_1(X117)
                | ~ c2_1(X117) ) )
          | ! [X118] :
              ( ndr1_0
             => ( ~ c0_1(X118)
                | ~ c2_1(X118)
                | c3_1(X118) ) ) )
        & ( ( ndr1_0
            & ~ c3_1(a346)
            & c2_1(a346)
            & c0_1(a346) )
          | ~ hskp13 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c3_1(X38)
                | ~ c2_1(X38)
                | ~ c1_1(X38) ) )
          | hskp28
          | hskp7 )
        & ( ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | c0_1(X92)
                | ~ c3_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | c1_1(X93)
                | ~ c0_1(X93) ) )
          | hskp12 )
        & ( hskp9
          | hskp16
          | ! [X105] :
              ( ndr1_0
             => ( ~ c2_1(X105)
                | c0_1(X105)
                | ~ c1_1(X105) ) ) )
        & ( ( ~ c1_1(a330)
            & ndr1_0
            & c3_1(a330)
            & ~ c0_1(a330) )
          | ~ hskp7 )
        & ( ( ndr1_0
            & ~ c3_1(a327)
            & c1_1(a327)
            & c0_1(a327) )
          | ~ hskp5 )
        & ( hskp1
          | hskp25
          | hskp11 )
        & ( ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c2_1(X29)
                | ~ c3_1(X29) ) )
          | hskp28 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | ~ c1_1(X39)
                | c3_1(X39) ) )
          | hskp27
          | ! [X40] :
              ( ndr1_0
             => ( c2_1(X40)
                | ~ c3_1(X40)
                | c0_1(X40) ) ) )
        & ( ( ~ c1_1(a347)
            & ndr1_0
            & c2_1(a347)
            & c3_1(a347) )
          | ~ hskp14 )
        & ( ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c0_1(X18)
                | ~ c1_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | ~ c0_1(X17)
                | c1_1(X17) ) )
          | hskp6 )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | ~ c2_1(X75)
                | ~ c3_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c2_1(X74)
                | ~ c0_1(X74)
                | ~ c1_1(X74) ) )
          | hskp20 )
        & ( ! [X35] :
              ( ndr1_0
             => ( c3_1(X35)
                | ~ c1_1(X35)
                | c0_1(X35) ) )
          | hskp11
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( ! [X87] :
              ( ndr1_0
             => ( c0_1(X87)
                | c2_1(X87)
                | c1_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c2_1(X86)
                | c0_1(X86) ) )
          | hskp0 )
        & ( ( c2_1(a322)
            & ndr1_0
            & c3_1(a322)
            & ~ c0_1(a322) )
          | ~ hskp0 )
        & ( ( ~ c3_1(a324)
            & ndr1_0
            & ~ c1_1(a324)
            & ~ c0_1(a324) )
          | ~ hskp2 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | ~ c3_1(X45)
                | c0_1(X45) ) )
          | hskp26
          | ! [X44] :
              ( ndr1_0
             => ( c2_1(X44)
                | c1_1(X44)
                | ~ c0_1(X44) ) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ( c0_1(a325)
            & c1_1(a325)
            & ndr1_0
            & ~ c2_1(a325) )
          | ~ hskp3 )
        & ( ~ hskp4
          | ( ndr1_0
            & ~ c1_1(a326)
            & c0_1(a326)
            & c2_1(a326) ) )
        & ( hskp3
          | ! [X110] :
              ( ndr1_0
             => ( ~ c0_1(X110)
                | c3_1(X110)
                | c2_1(X110) ) )
          | hskp8 )
        & ( ! [X2] :
              ( ndr1_0
             => ( c1_1(X2)
                | c2_1(X2)
                | c0_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c0_1(X3)
                | ~ c3_1(X3) ) )
          | hskp1 )
        & ( ( ~ c1_1(a330)
            & ndr1_0
            & c3_1(a330)
            & ~ c0_1(a330) )
          | ~ hskp7 )
        & ( hskp24
          | hskp7 )
        & ( ! [X108] :
              ( ndr1_0
             => ( ~ c1_1(X108)
                | ~ c0_1(X108)
                | ~ c2_1(X108) ) )
          | hskp10
          | ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | c3_1(X107)
                | c2_1(X107) ) ) )
        & ( hskp13
          | hskp8
          | hskp4 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | ~ c3_1(X71)
                | c2_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c2_1(X70)
                | c1_1(X70)
                | c3_1(X70) ) )
          | hskp12 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c0_1(X68)
                | ~ c2_1(X68)
                | ~ c3_1(X68) ) )
          | hskp18
          | hskp17 )
        & ( hskp24
          | hskp17
          | ! [X121] :
              ( ndr1_0
             => ( ~ c2_1(X121)
                | ~ c0_1(X121)
                | ~ c1_1(X121) ) ) )
        & ( ! [X100] :
              ( ndr1_0
             => ( ~ c0_1(X100)
                | c2_1(X100)
                | ~ c1_1(X100) ) )
          | hskp17
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | c1_1(X99) ) ) )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | c1_1(X90)
                | ~ c0_1(X90) ) )
          | hskp19
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | c1_1(X89)
                | c3_1(X89) ) ) )
        & ( hskp17
          | hskp11
          | hskp18 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c1_1(X23)
                | ~ c3_1(X23)
                | c0_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | ~ c0_1(X24)
                | ~ c2_1(X24) ) )
          | hskp7 )
        & ( ~ hskp28
          | ( c1_1(a343)
            & c2_1(a343)
            & c0_1(a343)
            & ndr1_0 ) )
        & ( ( c2_1(a322)
            & ndr1_0
            & c3_1(a322)
            & ~ c0_1(a322) )
          | ~ hskp0 )
        & ( ~ hskp15
          | ( ~ c1_1(a348)
            & ~ c3_1(a348)
            & c0_1(a348)
            & ndr1_0 ) )
        & ( hskp5
          | ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | c1_1(X87)
                | ~ c2_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | ~ c0_1(X88)
                | ~ c2_1(X88) ) ) )
        & ( ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | ~ c2_1(X93)
                | c1_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c0_1(X94)
                | ~ c3_1(X94)
                | ~ c1_1(X94) ) )
          | hskp6 )
        & ( ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | ~ c1_1(X92)
                | c3_1(X92) ) )
          | hskp19
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | c1_1(X91)
                | ~ c2_1(X91) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | c1_1(X16)
                | ~ c3_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | c1_1(X15)
                | ~ c3_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | ~ c2_1(X14)
                | c1_1(X14) ) ) )
        & ( hskp3
          | hskp4
          | ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c2_1(X6) ) ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( c1_1(X95)
                | ~ c2_1(X95)
                | ~ c0_1(X95) ) )
          | hskp26
          | hskp27 )
        & ( ( ~ c3_1(a355)
            & c1_1(a355)
            & c2_1(a355)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c0_1(X105)
                | c2_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( c3_1(X104)
                | ~ c0_1(X104)
                | c2_1(X104) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c2_1(X106)
                | ~ c0_1(X106) ) ) )
        & ( ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | c2_1(X116)
                | ~ c1_1(X116) ) )
          | hskp28 )
        & ( hskp3
          | hskp5
          | hskp4 )
        & ( hskp15
          | ! [X103] :
              ( ndr1_0
             => ( c1_1(X103)
                | ~ c2_1(X103)
                | ~ c3_1(X103) ) ) )
        & ( hskp28
          | ! [X109] :
              ( ndr1_0
             => ( c2_1(X109)
                | c3_1(X109)
                | ~ c0_1(X109) ) )
          | hskp27 )
        & ( hskp6
          | ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | c3_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | ~ c0_1(X9)
                | ~ c2_1(X9) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | ~ c1_1(X26)
                | c2_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | ~ c1_1(X27)
                | c3_1(X27) ) )
          | hskp11 )
        & ( hskp15
          | ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | c1_1(X59)
                | c2_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c1_1(X58)
                | c0_1(X58)
                | ~ c2_1(X58) ) ) )
        & ( ~ hskp11
          | ( ~ c2_1(a338)
            & ndr1_0
            & ~ c1_1(a338)
            & ~ c0_1(a338) ) )
        & ( ! [X120] :
              ( ndr1_0
             => ( c3_1(X120)
                | ~ c1_1(X120)
                | ~ c2_1(X120) ) )
          | hskp7
          | hskp28 )
        & ( ( ndr1_0
            & ~ c3_1(a346)
            & c2_1(a346)
            & c0_1(a346) )
          | ~ hskp13 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | ~ c1_1(X42)
                | c3_1(X42) ) )
          | hskp27
          | ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | ~ c3_1(X41)
                | c2_1(X41) ) ) )
        & ( ~ hskp1
          | ( ~ c1_1(a323)
            & ~ c2_1(a323)
            & ~ c3_1(a323)
            & ndr1_0 ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( c2_1(X46)
                | ~ c0_1(X46)
                | c1_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c2_1(X47)
                | c1_1(X47) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c2_1(X45)
                | ~ c3_1(X45) ) ) )
        & ( ~ hskp17
          | ( c2_1(a353)
            & ~ c0_1(a353)
            & ndr1_0
            & c1_1(a353) ) )
        & ( ( ~ c1_1(a347)
            & ndr1_0
            & c2_1(a347)
            & c3_1(a347) )
          | ~ hskp14 )
        & ( ~ hskp6
          | ( ~ c1_1(a329)
            & ndr1_0
            & ~ c3_1(a329)
            & c2_1(a329) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & ~ c2_1(a345)
            & c0_1(a345)
            & c3_1(a345) ) )
        & ( ( ~ c0_1(a358)
            & c2_1(a358)
            & ~ c3_1(a358)
            & ndr1_0 )
          | ~ hskp20 )
        & ( hskp17
          | hskp8
          | hskp24 )
        & ( ( c1_1(a341)
            & ndr1_0
            & c2_1(a341)
            & c3_1(a341) )
          | ~ hskp27 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c2_1(X20)
                | ~ c0_1(X20)
                | c1_1(X20) ) )
          | hskp26
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | ~ c3_1(X19)
                | c1_1(X19) ) ) )
        & ( ( ndr1_0
            & ~ c3_1(a327)
            & c1_1(a327)
            & c0_1(a327) )
          | ~ hskp5 )
        & ( ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | c2_1(X54)
                | ~ c0_1(X54) ) )
          | hskp26 )
        & ( hskp20
          | ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | c3_1(X72)
                | c1_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c0_1(X73)
                | c1_1(X73) ) ) )
        & ( ( ~ c1_1(a367)
            & c3_1(a367)
            & ndr1_0
            & ~ c2_1(a367) )
          | ~ hskp22 )
        & ( ! [X115] :
              ( ndr1_0
             => ( ~ c0_1(X115)
                | ~ c1_1(X115)
                | c2_1(X115) ) )
          | hskp12
          | hskp13 )
        & ( hskp8
          | ! [X111] :
              ( ndr1_0
             => ( c2_1(X111)
                | ~ c1_1(X111)
                | ~ c0_1(X111) ) )
          | ! [X112] :
              ( ndr1_0
             => ( ~ c0_1(X112)
                | ~ c1_1(X112)
                | c3_1(X112) ) ) )
        & ( hskp10
          | ! [X123] :
              ( ndr1_0
             => ( ~ c2_1(X123)
                | ~ c3_1(X123)
                | ~ c1_1(X123) ) )
          | ! [X122] :
              ( ndr1_0
             => ( ~ c0_1(X122)
                | ~ c1_1(X122)
                | ~ c3_1(X122) ) ) )
        & ( ( c3_1(a349)
            & ~ c2_1(a349)
            & c1_1(a349)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( c3_1(a377)
            & ~ c0_1(a377)
            & ndr1_0
            & c1_1(a377) )
          | ~ hskp23 )
        & ( hskp13
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | c3_1(X57)
                | c0_1(X57) ) )
          | hskp14 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | ~ c1_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | ~ c3_1(X34)
                | c2_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c2_1(X35)
                | ~ c0_1(X35) ) ) )
        & ( ! [X125] :
              ( ndr1_0
             => ( ~ c1_1(X125)
                | ~ c2_1(X125)
                | ~ c3_1(X125) ) )
          | hskp3
          | hskp10 )
        & ( hskp21
          | ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | c3_1(X75)
                | ~ c1_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c3_1(X74)
                | c2_1(X74) ) ) )
        & ( hskp14
          | hskp12
          | hskp17 )
        & ( hskp3
          | ! [X117] :
              ( ndr1_0
             => ( c3_1(X117)
                | ~ c2_1(X117)
                | ~ c0_1(X117) ) )
          | hskp10 )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c2_1(X25)
                | c3_1(X25) ) )
          | hskp5
          | hskp10 )
        & ( hskp26
          | hskp24
          | hskp2 )
        & ( ( ~ c3_1(a324)
            & ndr1_0
            & ~ c1_1(a324)
            & ~ c0_1(a324) )
          | ~ hskp2 )
        & ( hskp5
          | ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | ~ c1_1(X31)
                | c2_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c2_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp22
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | ~ c0_1(X86)
                | c2_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | c1_1(X85)
                | ~ c0_1(X85) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | ~ c1_1(X13)
                | c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c0_1(X12)
                | c1_1(X12) ) )
          | hskp5 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c3_1(X44)
                | ~ c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) )
          | hskp7 )
        & ( hskp7
          | ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c3_1(X10)
                | c1_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c0_1(X11)
                | ~ c2_1(X11)
                | ~ c3_1(X11) ) ) )
        & ( ( ~ c3_1(a354)
            & ~ c2_1(a354)
            & ndr1_0
            & c1_1(a354) )
          | ~ hskp18 )
        & ( ! [X113] :
              ( ndr1_0
             => ( ~ c1_1(X113)
                | ~ c0_1(X113)
                | c2_1(X113) ) )
          | hskp20
          | ! [X114] :
              ( ndr1_0
             => ( ~ c2_1(X114)
                | ~ c1_1(X114)
                | ~ c3_1(X114) ) ) )
        & ( hskp22
          | hskp23
          | ! [X98] :
              ( ndr1_0
             => ( ~ c0_1(X98)
                | ~ c3_1(X98)
                | c1_1(X98) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c2_1(X7)
                | c1_1(X7) ) )
          | hskp1
          | hskp5 )
        & ( ! [X4] :
              ( ndr1_0
             => ( c1_1(X4)
                | c0_1(X4)
                | c2_1(X4) ) )
          | hskp2
          | ! [X5] :
              ( ndr1_0
             => ( c1_1(X5)
                | ~ c2_1(X5)
                | c3_1(X5) ) ) )
        & ( ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c1_1(X83)
                | c2_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c1_1(X84)
                | ~ c2_1(X84)
                | ~ c0_1(X84) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | c1_1(X82)
                | ~ c3_1(X82) ) ) )
        & ( hskp16
          | hskp4
          | ! [X118] :
              ( ndr1_0
             => ( c3_1(X118)
                | ~ c0_1(X118)
                | ~ c2_1(X118) ) ) )
        & ( hskp12
          | ! [X55] :
              ( ndr1_0
             => ( c3_1(X55)
                | c0_1(X55)
                | ~ c2_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c1_1(X56)
                | ~ c3_1(X56)
                | ~ c0_1(X56) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | ~ c1_1(X1)
                | c2_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c0_1(X0)
                | c1_1(X0) ) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c2_1(a334)
            & ~ c1_1(a334)
            & ~ c0_1(a334) ) )
        & ( hskp16
          | hskp15
          | ! [X77] :
              ( ndr1_0
             => ( c2_1(X77)
                | c3_1(X77)
                | c1_1(X77) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | ~ c0_1(X30)
                | c2_1(X30) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | ~ c1_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c1_1(X29)
                | ~ c0_1(X29)
                | ~ c2_1(X29) ) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & ~ c2_1(a332)
            & ~ c3_1(a332)
            & ~ c0_1(a332) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) )
          | hskp12
          | ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | ~ c2_1(X65)
                | c1_1(X65) ) ) )
        & ( ( c0_1(a337)
            & ndr1_0
            & ~ c2_1(a337)
            & ~ c3_1(a337) )
          | ~ hskp10 )
        & ( ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | c1_1(X101)
                | ~ c2_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | ~ c1_1(X102) ) )
          | hskp22 )
        & ( hskp8
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c2_1(X18)
                | ~ c1_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c1_1(X17)
                | c0_1(X17)
                | ~ c2_1(X17) ) ) )
        & ( hskp0
          | hskp19
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c1_1(X78)
                | c2_1(X78) ) ) )
        & ( hskp9
          | ! [X22] :
              ( ndr1_0
             => ( ~ c0_1(X22)
                | c2_1(X22)
                | c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | c0_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp5
          | hskp16
          | ! [X124] :
              ( ndr1_0
             => ( ~ c0_1(X124)
                | ~ c2_1(X124)
                | ~ c3_1(X124) ) ) )
        & ( ~ hskp21
          | ( c3_1(a359)
            & ndr1_0
            & ~ c0_1(a359)
            & ~ c2_1(a359) ) )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c1_1(X80)
                | c2_1(X80) ) )
          | hskp2
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c0_1(X81)
                | c2_1(X81) ) ) )
        & ( hskp1
          | ! [X119] :
              ( ndr1_0
             => ( ~ c0_1(X119)
                | ~ c2_1(X119)
                | c3_1(X119) ) )
          | hskp2 )
        & ( hskp16
          | hskp9
          | ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c1_1(X60)
                | ~ c2_1(X60) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c2_1(X52)
                | c3_1(X52) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c3_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | ~ c2_1(X51)
                | ~ c0_1(X51) ) ) )
        & ( hskp14
          | ! [X76] :
              ( ndr1_0
             => ( c2_1(X76)
                | c1_1(X76)
                | c3_1(X76) ) )
          | hskp5 )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | ~ c0_1(X38)
                | ~ c2_1(X38) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | ~ c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | c3_1(X37)
                | ~ c1_1(X37) ) ) )
        & ( ~ hskp25
          | ( c0_1(a419)
            & ndr1_0
            & ~ c1_1(a419)
            & ~ c2_1(a419) ) )
        & ( hskp1
          | hskp25
          | hskp11 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c1_1(X61)
                | ~ c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c0_1(X62)
                | c1_1(X62)
                | c2_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c2_1(X63)
                | ~ c3_1(X63)
                | ~ c1_1(X63) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c2_1(X79)
                | ~ c0_1(X79) ) )
          | hskp7
          | hskp22 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c0_1(X66)
                | ~ c3_1(X66)
                | ~ c2_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c3_1(X67)
                | ~ c0_1(X67)
                | ~ c2_1(X67) ) )
          | hskp4 )
        & ( ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | c2_1(X97)
                | ~ c3_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c1_1(X96) ) )
          | hskp14 )
        & ( hskp16
          | hskp25 )
        & ( ( c3_1(a333)
            & c1_1(a333)
            & ndr1_0
            & c0_1(a333) )
          | ~ hskp26 )
        & ( hskp11
          | hskp19
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | ~ c3_1(X69)
                | c0_1(X69) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | c0_1(X48)
                | c2_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | c2_1(X49)
                | ~ c0_1(X49) ) )
          | hskp28 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c2_1(X39)
                | ~ c1_1(X39)
                | c0_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | c3_1(X40)
                | ~ c2_1(X40) ) )
          | hskp4 )
        & ( ( ~ c2_1(a401)
            & ndr1_0
            & ~ c0_1(a401)
            & c1_1(a401) )
          | ~ hskp24 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( ( c0_1(a325)
          & c1_1(a325)
          & ndr1_0
          & ~ c2_1(a325) )
        | ~ hskp3 )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ c1_1(a326)
          & c0_1(a326)
          & c2_1(a326) ) )
      & ( hskp3
        | ! [X110] :
            ( ndr1_0
           => ( ~ c0_1(X110)
              | c3_1(X110)
              | c2_1(X110) ) )
        | hskp8 )
      & ( ! [X2] :
            ( ndr1_0
           => ( c1_1(X2)
              | c2_1(X2)
              | c0_1(X2) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c0_1(X3)
              | ~ c3_1(X3) ) )
        | hskp1 )
      & ( ( ~ c1_1(a330)
          & ndr1_0
          & c3_1(a330)
          & ~ c0_1(a330) )
        | ~ hskp7 )
      & ( hskp24
        | hskp7 )
      & ( ! [X108] :
            ( ndr1_0
           => ( ~ c1_1(X108)
              | ~ c0_1(X108)
              | ~ c2_1(X108) ) )
        | hskp10
        | ! [X107] :
            ( ndr1_0
           => ( ~ c0_1(X107)
              | c3_1(X107)
              | c2_1(X107) ) ) )
      & ( hskp13
        | hskp8
        | hskp4 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | ~ c3_1(X71)
              | c2_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c2_1(X70)
              | c1_1(X70)
              | c3_1(X70) ) )
        | hskp12 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c0_1(X68)
              | ~ c2_1(X68)
              | ~ c3_1(X68) ) )
        | hskp18
        | hskp17 )
      & ( hskp24
        | hskp17
        | ! [X121] :
            ( ndr1_0
           => ( ~ c2_1(X121)
              | ~ c0_1(X121)
              | ~ c1_1(X121) ) ) )
      & ( ! [X100] :
            ( ndr1_0
           => ( ~ c0_1(X100)
              | c2_1(X100)
              | ~ c1_1(X100) ) )
        | hskp17
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c2_1(X99)
              | c1_1(X99) ) ) )
      & ( ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | c1_1(X90)
              | ~ c0_1(X90) ) )
        | hskp19
        | ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | c1_1(X89)
              | c3_1(X89) ) ) )
      & ( hskp17
        | hskp11
        | hskp18 )
      & ( ! [X23] :
            ( ndr1_0
           => ( c1_1(X23)
              | ~ c3_1(X23)
              | c0_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c1_1(X24)
              | ~ c0_1(X24)
              | ~ c2_1(X24) ) )
        | hskp7 )
      & ( ~ hskp28
        | ( c1_1(a343)
          & c2_1(a343)
          & c0_1(a343)
          & ndr1_0 ) )
      & ( ( c2_1(a322)
          & ndr1_0
          & c3_1(a322)
          & ~ c0_1(a322) )
        | ~ hskp0 )
      & ( ~ hskp15
        | ( ~ c1_1(a348)
          & ~ c3_1(a348)
          & c0_1(a348)
          & ndr1_0 ) )
      & ( hskp5
        | ! [X87] :
            ( ndr1_0
           => ( c3_1(X87)
              | c1_1(X87)
              | ~ c2_1(X87) ) )
        | ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | ~ c0_1(X88)
              | ~ c2_1(X88) ) ) )
      & ( ! [X93] :
            ( ndr1_0
           => ( ~ c0_1(X93)
              | ~ c2_1(X93)
              | c1_1(X93) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c0_1(X94)
              | ~ c3_1(X94)
              | ~ c1_1(X94) ) )
        | hskp6 )
      & ( ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | ~ c1_1(X92)
              | c3_1(X92) ) )
        | hskp19
        | ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | c1_1(X91)
              | ~ c2_1(X91) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | c1_1(X16)
              | ~ c3_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c0_1(X15)
              | c1_1(X15)
              | ~ c3_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | ~ c2_1(X14)
              | c1_1(X14) ) ) )
      & ( hskp3
        | hskp4
        | ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c2_1(X6) ) ) )
      & ( ! [X95] :
            ( ndr1_0
           => ( c1_1(X95)
              | ~ c2_1(X95)
              | ~ c0_1(X95) ) )
        | hskp26
        | hskp27 )
      & ( ( ~ c3_1(a355)
          & c1_1(a355)
          & c2_1(a355)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c0_1(X105)
              | c2_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( c3_1(X104)
              | ~ c0_1(X104)
              | c2_1(X104) ) )
        | ! [X106] :
            ( ndr1_0
           => ( ~ c3_1(X106)
              | ~ c2_1(X106)
              | ~ c0_1(X106) ) ) )
      & ( ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | c2_1(X116)
              | ~ c1_1(X116) ) )
        | hskp28 )
      & ( hskp3
        | hskp5
        | hskp4 )
      & ( hskp15
        | ! [X103] :
            ( ndr1_0
           => ( c1_1(X103)
              | ~ c2_1(X103)
              | ~ c3_1(X103) ) ) )
      & ( hskp28
        | ! [X109] :
            ( ndr1_0
           => ( c2_1(X109)
              | c3_1(X109)
              | ~ c0_1(X109) ) )
        | hskp27 )
      & ( hskp6
        | ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | c3_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c1_1(X9)
              | ~ c0_1(X9)
              | ~ c2_1(X9) ) ) )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | ~ c1_1(X26)
              | c2_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | ~ c1_1(X27)
              | c3_1(X27) ) )
        | hskp11 )
      & ( hskp15
        | ! [X59] :
            ( ndr1_0
           => ( ~ c0_1(X59)
              | c1_1(X59)
              | c2_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c1_1(X58)
              | c0_1(X58)
              | ~ c2_1(X58) ) ) )
      & ( ~ hskp11
        | ( ~ c2_1(a338)
          & ndr1_0
          & ~ c1_1(a338)
          & ~ c0_1(a338) ) )
      & ( ! [X120] :
            ( ndr1_0
           => ( c3_1(X120)
              | ~ c1_1(X120)
              | ~ c2_1(X120) ) )
        | hskp7
        | hskp28 )
      & ( ( ndr1_0
          & ~ c3_1(a346)
          & c2_1(a346)
          & c0_1(a346) )
        | ~ hskp13 )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | ~ c1_1(X42)
              | c3_1(X42) ) )
        | hskp27
        | ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | ~ c3_1(X41)
              | c2_1(X41) ) ) )
      & ( ~ hskp1
        | ( ~ c1_1(a323)
          & ~ c2_1(a323)
          & ~ c3_1(a323)
          & ndr1_0 ) )
      & ( ! [X46] :
            ( ndr1_0
           => ( c2_1(X46)
              | ~ c0_1(X46)
              | c1_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | ~ c2_1(X47)
              | c1_1(X47) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | c2_1(X45)
              | ~ c3_1(X45) ) ) )
      & ( ~ hskp17
        | ( c2_1(a353)
          & ~ c0_1(a353)
          & ndr1_0
          & c1_1(a353) ) )
      & ( ( ~ c1_1(a347)
          & ndr1_0
          & c2_1(a347)
          & c3_1(a347) )
        | ~ hskp14 )
      & ( ~ hskp6
        | ( ~ c1_1(a329)
          & ndr1_0
          & ~ c3_1(a329)
          & c2_1(a329) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ~ c2_1(a345)
          & c0_1(a345)
          & c3_1(a345) ) )
      & ( ( ~ c0_1(a358)
          & c2_1(a358)
          & ~ c3_1(a358)
          & ndr1_0 )
        | ~ hskp20 )
      & ( hskp17
        | hskp8
        | hskp24 )
      & ( ( c1_1(a341)
          & ndr1_0
          & c2_1(a341)
          & c3_1(a341) )
        | ~ hskp27 )
      & ( ! [X20] :
            ( ndr1_0
           => ( c2_1(X20)
              | ~ c0_1(X20)
              | c1_1(X20) ) )
        | hskp26
        | ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | ~ c3_1(X19)
              | c1_1(X19) ) ) )
      & ( ( ndr1_0
          & ~ c3_1(a327)
          & c1_1(a327)
          & c0_1(a327) )
        | ~ hskp5 )
      & ( ! [X53] :
            ( ndr1_0
           => ( ~ c1_1(X53)
              | c3_1(X53)
              | c0_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | c2_1(X54)
              | ~ c0_1(X54) ) )
        | hskp26 )
      & ( hskp20
        | ! [X72] :
            ( ndr1_0
           => ( c2_1(X72)
              | c3_1(X72)
              | c1_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c0_1(X73)
              | c1_1(X73) ) ) )
      & ( ( ~ c1_1(a367)
          & c3_1(a367)
          & ndr1_0
          & ~ c2_1(a367) )
        | ~ hskp22 )
      & ( ! [X115] :
            ( ndr1_0
           => ( ~ c0_1(X115)
              | ~ c1_1(X115)
              | c2_1(X115) ) )
        | hskp12
        | hskp13 )
      & ( hskp8
        | ! [X111] :
            ( ndr1_0
           => ( c2_1(X111)
              | ~ c1_1(X111)
              | ~ c0_1(X111) ) )
        | ! [X112] :
            ( ndr1_0
           => ( ~ c0_1(X112)
              | ~ c1_1(X112)
              | c3_1(X112) ) ) )
      & ( hskp10
        | ! [X123] :
            ( ndr1_0
           => ( ~ c2_1(X123)
              | ~ c3_1(X123)
              | ~ c1_1(X123) ) )
        | ! [X122] :
            ( ndr1_0
           => ( ~ c0_1(X122)
              | ~ c1_1(X122)
              | ~ c3_1(X122) ) ) )
      & ( ( c3_1(a349)
          & ~ c2_1(a349)
          & c1_1(a349)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( c3_1(a377)
          & ~ c0_1(a377)
          & ndr1_0
          & c1_1(a377) )
        | ~ hskp23 )
      & ( hskp13
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | c3_1(X57)
              | c0_1(X57) ) )
        | hskp14 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c2_1(X33)
              | ~ c1_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c0_1(X34)
              | ~ c3_1(X34)
              | c2_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | ~ c2_1(X35)
              | ~ c0_1(X35) ) ) )
      & ( ! [X125] :
            ( ndr1_0
           => ( ~ c1_1(X125)
              | ~ c2_1(X125)
              | ~ c3_1(X125) ) )
        | hskp3
        | hskp10 )
      & ( hskp21
        | ! [X75] :
            ( ndr1_0
           => ( ~ c0_1(X75)
              | c3_1(X75)
              | ~ c1_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | c3_1(X74)
              | c2_1(X74) ) ) )
      & ( hskp14
        | hskp12
        | hskp17 )
      & ( hskp3
        | ! [X117] :
            ( ndr1_0
           => ( c3_1(X117)
              | ~ c2_1(X117)
              | ~ c0_1(X117) ) )
        | hskp10 )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c2_1(X25)
              | c3_1(X25) ) )
        | hskp5
        | hskp10 )
      & ( hskp26
        | hskp24
        | hskp2 )
      & ( ( ~ c3_1(a324)
          & ndr1_0
          & ~ c1_1(a324)
          & ~ c0_1(a324) )
        | ~ hskp2 )
      & ( hskp5
        | ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | ~ c1_1(X31)
              | c2_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | ~ c2_1(X32)
              | c1_1(X32) ) ) )
      & ( hskp22
        | ! [X86] :
            ( ndr1_0
           => ( c3_1(X86)
              | ~ c0_1(X86)
              | c2_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( c3_1(X85)
              | c1_1(X85)
              | ~ c0_1(X85) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | ~ c1_1(X13)
              | c0_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c0_1(X12)
              | c1_1(X12) ) )
        | hskp5 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c3_1(X44)
              | ~ c1_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) )
        | hskp7 )
      & ( hskp7
        | ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c3_1(X10)
              | c1_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c0_1(X11)
              | ~ c2_1(X11)
              | ~ c3_1(X11) ) ) )
      & ( ( ~ c3_1(a354)
          & ~ c2_1(a354)
          & ndr1_0
          & c1_1(a354) )
        | ~ hskp18 )
      & ( ! [X113] :
            ( ndr1_0
           => ( ~ c1_1(X113)
              | ~ c0_1(X113)
              | c2_1(X113) ) )
        | hskp20
        | ! [X114] :
            ( ndr1_0
           => ( ~ c2_1(X114)
              | ~ c1_1(X114)
              | ~ c3_1(X114) ) ) )
      & ( hskp22
        | hskp23
        | ! [X98] :
            ( ndr1_0
           => ( ~ c0_1(X98)
              | ~ c3_1(X98)
              | c1_1(X98) ) ) )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c2_1(X7)
              | c1_1(X7) ) )
        | hskp1
        | hskp5 )
      & ( ! [X4] :
            ( ndr1_0
           => ( c1_1(X4)
              | c0_1(X4)
              | c2_1(X4) ) )
        | hskp2
        | ! [X5] :
            ( ndr1_0
           => ( c1_1(X5)
              | ~ c2_1(X5)
              | c3_1(X5) ) ) )
      & ( ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c1_1(X83)
              | c2_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c1_1(X84)
              | ~ c2_1(X84)
              | ~ c0_1(X84) ) )
        | ! [X82] :
            ( ndr1_0
           => ( c2_1(X82)
              | c1_1(X82)
              | ~ c3_1(X82) ) ) )
      & ( hskp16
        | hskp4
        | ! [X118] :
            ( ndr1_0
           => ( c3_1(X118)
              | ~ c0_1(X118)
              | ~ c2_1(X118) ) ) )
      & ( hskp12
        | ! [X55] :
            ( ndr1_0
           => ( c3_1(X55)
              | c0_1(X55)
              | ~ c2_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c1_1(X56)
              | ~ c3_1(X56)
              | ~ c0_1(X56) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | ~ c1_1(X1)
              | c2_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c0_1(X0)
              | c1_1(X0) ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c2_1(a334)
          & ~ c1_1(a334)
          & ~ c0_1(a334) ) )
      & ( hskp16
        | hskp15
        | ! [X77] :
            ( ndr1_0
           => ( c2_1(X77)
              | c3_1(X77)
              | c1_1(X77) ) ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( c3_1(X30)
              | ~ c0_1(X30)
              | c2_1(X30) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | ~ c1_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c1_1(X29)
              | ~ c0_1(X29)
              | ~ c2_1(X29) ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ~ c2_1(a332)
          & ~ c3_1(a332)
          & ~ c0_1(a332) ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c1_1(X64)
              | c0_1(X64) ) )
        | hskp12
        | ! [X65] :
            ( ndr1_0
           => ( ~ c0_1(X65)
              | ~ c2_1(X65)
              | c1_1(X65) ) ) )
      & ( ( c0_1(a337)
          & ndr1_0
          & ~ c2_1(a337)
          & ~ c3_1(a337) )
        | ~ hskp10 )
      & ( ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | c1_1(X101)
              | ~ c2_1(X101) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | ~ c1_1(X102) ) )
        | hskp22 )
      & ( hskp8
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | ~ c2_1(X18)
              | ~ c1_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c1_1(X17)
              | c0_1(X17)
              | ~ c2_1(X17) ) ) )
      & ( hskp0
        | hskp19
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | c1_1(X78)
              | c2_1(X78) ) ) )
      & ( hskp9
        | ! [X22] :
            ( ndr1_0
           => ( ~ c0_1(X22)
              | c2_1(X22)
              | c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | c0_1(X21)
              | c1_1(X21) ) ) )
      & ( hskp5
        | hskp16
        | ! [X124] :
            ( ndr1_0
           => ( ~ c0_1(X124)
              | ~ c2_1(X124)
              | ~ c3_1(X124) ) ) )
      & ( ~ hskp21
        | ( c3_1(a359)
          & ndr1_0
          & ~ c0_1(a359)
          & ~ c2_1(a359) ) )
      & ( ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | c1_1(X80)
              | c2_1(X80) ) )
        | hskp2
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c0_1(X81)
              | c2_1(X81) ) ) )
      & ( hskp1
        | ! [X119] :
            ( ndr1_0
           => ( ~ c0_1(X119)
              | ~ c2_1(X119)
              | c3_1(X119) ) )
        | hskp2 )
      & ( hskp16
        | hskp9
        | ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | ~ c1_1(X60)
              | ~ c2_1(X60) ) ) )
      & ( ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | c2_1(X52)
              | c3_1(X52) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c3_1(X50)
              | ~ c1_1(X50)
              | c0_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( c1_1(X51)
              | ~ c2_1(X51)
              | ~ c0_1(X51) ) ) )
      & ( hskp14
        | ! [X76] :
            ( ndr1_0
           => ( c2_1(X76)
              | c1_1(X76)
              | c3_1(X76) ) )
        | hskp5 )
      & ( ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | ~ c0_1(X38)
              | ~ c2_1(X38) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c2_1(X36)
              | ~ c1_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c2_1(X37)
              | c3_1(X37)
              | ~ c1_1(X37) ) ) )
      & ( ~ hskp25
        | ( c0_1(a419)
          & ndr1_0
          & ~ c1_1(a419)
          & ~ c2_1(a419) ) )
      & ( hskp1
        | hskp25
        | hskp11 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | ~ c1_1(X61)
              | ~ c3_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c0_1(X62)
              | c1_1(X62)
              | c2_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c2_1(X63)
              | ~ c3_1(X63)
              | ~ c1_1(X63) ) ) )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | c2_1(X79)
              | ~ c0_1(X79) ) )
        | hskp7
        | hskp22 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c0_1(X66)
              | ~ c3_1(X66)
              | ~ c2_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c3_1(X67)
              | ~ c0_1(X67)
              | ~ c2_1(X67) ) )
        | hskp4 )
      & ( ! [X97] :
            ( ndr1_0
           => ( ~ c1_1(X97)
              | c2_1(X97)
              | ~ c3_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c0_1(X96)
              | c1_1(X96) ) )
        | hskp14 )
      & ( hskp16
        | hskp25 )
      & ( ( c3_1(a333)
          & c1_1(a333)
          & ndr1_0
          & c0_1(a333) )
        | ~ hskp26 )
      & ( hskp11
        | hskp19
        | ! [X69] :
            ( ndr1_0
           => ( ~ c2_1(X69)
              | ~ c3_1(X69)
              | c0_1(X69) ) ) )
      & ( ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | c0_1(X48)
              | c2_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | c2_1(X49)
              | ~ c0_1(X49) ) )
        | hskp28 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c2_1(X39)
              | ~ c1_1(X39)
              | c0_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c1_1(X40)
              | c3_1(X40)
              | ~ c2_1(X40) ) )
        | hskp4 )
      & ( ( ~ c2_1(a401)
          & ndr1_0
          & ~ c0_1(a401)
          & c1_1(a401) )
        | ~ hskp24 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f1387,plain,
    ( spl55_194
    | spl55_153 ),
    inference(avatar_split_clause,[],[f242,f1085,f1325]) ).

fof(f1325,plain,
    ( spl55_194
  <=> sP19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_194])]) ).

fof(f242,plain,
    ! [X46] :
      ( c1_1(X46)
      | c3_1(X46)
      | sP19
      | c0_1(X46) ),
    inference(cnf_transformation,[],[f242_D]) ).

fof(f242_D,plain,
    ( ! [X46] :
        ( c1_1(X46)
        | c3_1(X46)
        | c0_1(X46) )
  <=> ~ sP19 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP19])]) ).

fof(f1386,plain,
    ( spl55_19
    | spl55_49
    | ~ spl55_201
    | ~ spl55_1 ),
    inference(avatar_split_clause,[],[f314,f361,f1366,f569,f437]) ).

fof(f437,plain,
    ( spl55_19
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_19])]) ).

fof(f1366,plain,
    ( spl55_201
  <=> sP30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_201])]) ).

fof(f361,plain,
    ( spl55_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_1])]) ).

fof(f314,plain,
    ! [X69] :
      ( ~ ndr1_0
      | ~ sP30
      | ~ c3_1(X69)
      | ~ c0_1(X69)
      | c2_1(X69)
      | hskp26 ),
    inference(duplicate_literal_removal,[],[f265]) ).

fof(f265,plain,
    ! [X69] :
      ( ~ ndr1_0
      | ~ c3_1(X69)
      | ~ ndr1_0
      | hskp26
      | ~ c0_1(X69)
      | ~ sP30
      | c2_1(X69) ),
    inference(general_splitting,[],[f102,f264_D]) ).

fof(f264,plain,
    ! [X68] :
      ( c0_1(X68)
      | c3_1(X68)
      | ~ c1_1(X68)
      | sP30 ),
    inference(cnf_transformation,[],[f264_D]) ).

fof(f264_D,plain,
    ( ! [X68] :
        ( c0_1(X68)
        | c3_1(X68)
        | ~ c1_1(X68) )
  <=> ~ sP30 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP30])]) ).

fof(f102,plain,
    ! [X68,X69] :
      ( ~ c1_1(X68)
      | ~ ndr1_0
      | c3_1(X68)
      | c0_1(X68)
      | ~ c3_1(X69)
      | ~ c0_1(X69)
      | c2_1(X69)
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1384,plain,
    ( ~ spl55_1
    | ~ spl55_123
    | ~ spl55_176
    | spl55_49 ),
    inference(avatar_split_clause,[],[f315,f569,f1205,f926,f361]) ).

fof(f926,plain,
    ( spl55_123
  <=> sP8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_123])]) ).

fof(f1205,plain,
    ( spl55_176
  <=> sP7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_176])]) ).

fof(f315,plain,
    ! [X23] :
      ( ~ c0_1(X23)
      | ~ c3_1(X23)
      | ~ sP7
      | ~ sP8
      | ~ ndr1_0
      | c2_1(X23) ),
    inference(duplicate_literal_removal,[],[f221]) ).

fof(f221,plain,
    ! [X23] :
      ( ~ ndr1_0
      | ~ ndr1_0
      | ~ c0_1(X23)
      | ~ ndr1_0
      | ~ sP7
      | c2_1(X23)
      | ~ c3_1(X23)
      | ~ sP8 ),
    inference(general_splitting,[],[f219,f220_D]) ).

fof(f220,plain,
    ! [X22] :
      ( ~ c3_1(X22)
      | sP8
      | ~ c2_1(X22)
      | ~ c0_1(X22) ),
    inference(cnf_transformation,[],[f220_D]) ).

fof(f220_D,plain,
    ( ! [X22] :
        ( ~ c3_1(X22)
        | ~ c2_1(X22)
        | ~ c0_1(X22) )
  <=> ~ sP8 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP8])]) ).

fof(f219,plain,
    ! [X22,X23] :
      ( ~ ndr1_0
      | ~ c2_1(X22)
      | ~ ndr1_0
      | ~ c3_1(X22)
      | ~ c0_1(X22)
      | ~ c3_1(X23)
      | c2_1(X23)
      | ~ c0_1(X23)
      | ~ ndr1_0
      | ~ sP7 ),
    inference(general_splitting,[],[f159,f218_D]) ).

fof(f218,plain,
    ! [X21] :
      ( sP7
      | c3_1(X21)
      | ~ c0_1(X21)
      | c2_1(X21) ),
    inference(cnf_transformation,[],[f218_D]) ).

fof(f218_D,plain,
    ( ! [X21] :
        ( c3_1(X21)
        | ~ c0_1(X21)
        | c2_1(X21) )
  <=> ~ sP7 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP7])]) ).

fof(f159,plain,
    ! [X21,X22,X23] :
      ( c2_1(X21)
      | ~ ndr1_0
      | c3_1(X21)
      | ~ c0_1(X21)
      | ~ c2_1(X22)
      | ~ ndr1_0
      | ~ c3_1(X22)
      | ~ c0_1(X22)
      | ~ c3_1(X23)
      | c2_1(X23)
      | ~ c0_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1383,plain,
    ( ~ spl55_103
    | ~ spl55_203 ),
    inference(avatar_split_clause,[],[f16,f1380,f819]) ).

fof(f819,plain,
    ( spl55_103
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_103])]) ).

fof(f16,plain,
    ( ~ c0_1(a338)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1378,plain,
    ( ~ spl55_85
    | ~ spl55_1
    | ~ spl55_195
    | spl55_40 ),
    inference(avatar_split_clause,[],[f316,f528,f1332,f361,f730]) ).

fof(f730,plain,
    ( spl55_85
  <=> sP27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_85])]) ).

fof(f1332,plain,
    ( spl55_195
  <=> sP28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_195])]) ).

fof(f316,plain,
    ! [X64] :
      ( ~ c3_1(X64)
      | ~ sP28
      | ~ ndr1_0
      | ~ c2_1(X64)
      | ~ sP27
      | c1_1(X64) ),
    inference(duplicate_literal_removal,[],[f261]) ).

fof(f261,plain,
    ! [X64] :
      ( ~ c3_1(X64)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP28
      | c1_1(X64)
      | ~ ndr1_0
      | ~ c2_1(X64)
      | ~ sP27 ),
    inference(general_splitting,[],[f259,f260_D]) ).

fof(f260,plain,
    ! [X63] :
      ( c1_1(X63)
      | c0_1(X63)
      | sP28
      | ~ c2_1(X63) ),
    inference(cnf_transformation,[],[f260_D]) ).

fof(f260_D,plain,
    ( ! [X63] :
        ( c1_1(X63)
        | c0_1(X63)
        | ~ c2_1(X63) )
  <=> ~ sP28 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP28])]) ).

fof(f259,plain,
    ! [X63,X64] :
      ( ~ ndr1_0
      | c0_1(X63)
      | ~ c2_1(X63)
      | ~ ndr1_0
      | c1_1(X63)
      | c1_1(X64)
      | ~ ndr1_0
      | ~ c3_1(X64)
      | ~ c2_1(X64)
      | ~ sP27 ),
    inference(general_splitting,[],[f114,f258_D]) ).

fof(f258,plain,
    ! [X62] :
      ( sP27
      | ~ c3_1(X62)
      | c1_1(X62)
      | ~ c0_1(X62) ),
    inference(cnf_transformation,[],[f258_D]) ).

fof(f258_D,plain,
    ( ! [X62] :
        ( ~ c3_1(X62)
        | c1_1(X62)
        | ~ c0_1(X62) )
  <=> ~ sP27 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP27])]) ).

fof(f114,plain,
    ! [X62,X63,X64] :
      ( ~ c0_1(X62)
      | c1_1(X62)
      | ~ ndr1_0
      | ~ c3_1(X62)
      | c0_1(X63)
      | ~ c2_1(X63)
      | ~ ndr1_0
      | c1_1(X63)
      | c1_1(X64)
      | ~ ndr1_0
      | ~ c3_1(X64)
      | ~ c2_1(X64) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1377,plain,
    ( ~ spl55_1
    | spl55_36
    | spl55_62
    | spl55_4 ),
    inference(avatar_split_clause,[],[f117,f374,f626,f511,f361]) ).

fof(f511,plain,
    ( spl55_36
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_36])]) ).

fof(f626,plain,
    ( spl55_62
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_62])]) ).

fof(f117,plain,
    ! [X59] :
      ( c2_1(X59)
      | hskp0
      | ~ c0_1(X59)
      | hskp19
      | c1_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1376,plain,
    ( spl55_114
    | spl55_42 ),
    inference(avatar_split_clause,[],[f212,f536,f879]) ).

fof(f879,plain,
    ( spl55_114
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_114])]) ).

fof(f212,plain,
    ! [X11] :
      ( c0_1(X11)
      | ~ c1_1(X11)
      | sP4
      | c2_1(X11) ),
    inference(cnf_transformation,[],[f212_D]) ).

fof(f212_D,plain,
    ( ! [X11] :
        ( c0_1(X11)
        | ~ c1_1(X11)
        | c2_1(X11) )
  <=> ~ sP4 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).

fof(f1375,plain,
    ( ~ spl55_1
    | spl55_55
    | spl55_36
    | spl55_103 ),
    inference(avatar_split_clause,[],[f184,f819,f511,f595,f361]) ).

fof(f184,plain,
    ! [X15] :
      ( hskp11
      | hskp19
      | c0_1(X15)
      | ~ ndr1_0
      | ~ c3_1(X15)
      | ~ c2_1(X15) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1374,plain,
    ( ~ spl55_125
    | spl55_202 ),
    inference(avatar_split_clause,[],[f132,f1371,f936]) ).

fof(f936,plain,
    ( spl55_125
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_125])]) ).

fof(f132,plain,
    ( c1_1(a354)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1369,plain,
    ( spl55_201
    | spl55_130 ),
    inference(avatar_split_clause,[],[f264,f965,f1366]) ).

fof(f1363,plain,
    ( spl55_35
    | spl55_2
    | spl55_25 ),
    inference(avatar_split_clause,[],[f118,f463,f365,f506]) ).

fof(f506,plain,
    ( spl55_35
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_35])]) ).

fof(f365,plain,
    ( spl55_2
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_2])]) ).

fof(f463,plain,
    ( spl55_25
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_25])]) ).

fof(f118,plain,
    ( hskp17
    | hskp12
    | hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1358,plain,
    ( ~ spl55_5
    | ~ spl55_199 ),
    inference(avatar_split_clause,[],[f73,f1355,f378]) ).

fof(f378,plain,
    ( spl55_5
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_5])]) ).

fof(f73,plain,
    ( ~ c2_1(a325)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1349,plain,
    ( ~ spl55_1
    | spl55_25
    | spl55_125
    | spl55_55 ),
    inference(avatar_split_clause,[],[f38,f595,f936,f463,f361]) ).

fof(f38,plain,
    ! [X100] :
      ( c0_1(X100)
      | ~ c3_1(X100)
      | hskp18
      | ~ c2_1(X100)
      | hskp17
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1348,plain,
    ( spl55_1
    | ~ spl55_25 ),
    inference(avatar_split_clause,[],[f27,f463,f361]) ).

fof(f27,plain,
    ( ~ hskp17
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1347,plain,
    ( ~ spl55_43
    | ~ spl55_197 ),
    inference(avatar_split_clause,[],[f49,f1344,f540]) ).

fof(f540,plain,
    ( spl55_43
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_43])]) ).

fof(f49,plain,
    ( ~ c2_1(a323)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1342,plain,
    ( ~ spl55_125
    | ~ spl55_196 ),
    inference(avatar_split_clause,[],[f135,f1339,f936]) ).

fof(f135,plain,
    ( ~ c3_1(a354)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1337,plain,
    ( ~ spl55_1
    | spl55_96
    | spl55_51 ),
    inference(avatar_split_clause,[],[f65,f577,f785,f361]) ).

fof(f577,plain,
    ( spl55_51
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_51])]) ).

fof(f65,plain,
    ! [X83] :
      ( hskp28
      | c2_1(X83)
      | ~ c3_1(X83)
      | ~ c1_1(X83)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1335,plain,
    ( spl55_195
    | spl55_100 ),
    inference(avatar_split_clause,[],[f260,f803,f1332]) ).

fof(f1330,plain,
    ( spl55_138
    | spl55_4 ),
    inference(avatar_split_clause,[],[f270,f374,f1003]) ).

fof(f1003,plain,
    ( spl55_138
  <=> sP33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_138])]) ).

fof(f270,plain,
    ! [X73] :
      ( c1_1(X73)
      | sP33
      | c2_1(X73)
      | ~ c0_1(X73) ),
    inference(cnf_transformation,[],[f270_D]) ).

fof(f270_D,plain,
    ( ! [X73] :
        ( c1_1(X73)
        | c2_1(X73)
        | ~ c0_1(X73) )
  <=> ~ sP33 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP33])]) ).

fof(f1328,plain,
    ( spl55_97
    | spl55_110
    | ~ spl55_1
    | ~ spl55_194 ),
    inference(avatar_split_clause,[],[f320,f1325,f361,f859,f789]) ).

fof(f789,plain,
    ( spl55_97
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_97])]) ).

fof(f320,plain,
    ! [X47] :
      ( ~ sP19
      | ~ ndr1_0
      | ~ c2_1(X47)
      | ~ c3_1(X47)
      | ~ c0_1(X47)
      | hskp7 ),
    inference(duplicate_literal_removal,[],[f243]) ).

fof(f243,plain,
    ! [X47] :
      ( ~ c3_1(X47)
      | ~ c2_1(X47)
      | ~ sP19
      | hskp7
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c0_1(X47) ),
    inference(general_splitting,[],[f128,f242_D]) ).

fof(f128,plain,
    ! [X46,X47] :
      ( ~ ndr1_0
      | c3_1(X46)
      | c0_1(X46)
      | c1_1(X46)
      | hskp7
      | ~ ndr1_0
      | ~ c2_1(X47)
      | ~ c0_1(X47)
      | ~ c3_1(X47) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1323,plain,
    ( spl55_57
    | spl55_100
    | ~ spl55_193
    | ~ spl55_1 ),
    inference(avatar_split_clause,[],[f321,f361,f1320,f803,f604]) ).

fof(f604,plain,
    ( spl55_57
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_57])]) ).

fof(f321,plain,
    ! [X119] :
      ( ~ ndr1_0
      | ~ sP51
      | c1_1(X119)
      | ~ c2_1(X119)
      | c0_1(X119)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f307]) ).

fof(f307,plain,
    ! [X119] :
      ( c1_1(X119)
      | hskp5
      | ~ c2_1(X119)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP51
      | c0_1(X119) ),
    inference(general_splitting,[],[f11,f306_D]) ).

fof(f11,plain,
    ! [X118,X119] :
      ( ~ ndr1_0
      | ~ c1_1(X118)
      | c0_1(X118)
      | ~ c2_1(X118)
      | hskp5
      | ~ c2_1(X119)
      | c1_1(X119)
      | c0_1(X119)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1317,plain,
    ( spl55_14
    | spl55_191 ),
    inference(avatar_split_clause,[],[f236,f1304,f417]) ).

fof(f1304,plain,
    ( spl55_191
  <=> sP16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_191])]) ).

fof(f236,plain,
    ! [X41] :
      ( sP16
      | ~ c2_1(X41)
      | ~ c1_1(X41)
      | ~ c0_1(X41) ),
    inference(cnf_transformation,[],[f236_D]) ).

fof(f236_D,plain,
    ( ! [X41] :
        ( ~ c2_1(X41)
        | ~ c1_1(X41)
        | ~ c0_1(X41) )
  <=> ~ sP16 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP16])]) ).

fof(f1316,plain,
    ( ~ spl55_1
    | ~ spl55_151
    | spl55_23
    | spl55_135 ),
    inference(avatar_split_clause,[],[f322,f989,f454,f1076,f361]) ).

fof(f1076,plain,
    ( spl55_151
  <=> sP37 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_151])]) ).

fof(f454,plain,
    ( spl55_23
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_23])]) ).

fof(f322,plain,
    ! [X85] :
      ( c0_1(X85)
      | c2_1(X85)
      | hskp27
      | ~ c3_1(X85)
      | ~ sP37
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f279]) ).

fof(f279,plain,
    ! [X85] :
      ( ~ sP37
      | c2_1(X85)
      | ~ ndr1_0
      | c0_1(X85)
      | hskp27
      | ~ c3_1(X85)
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f59,f278_D]) ).

fof(f278,plain,
    ! [X86] :
      ( ~ c1_1(X86)
      | c3_1(X86)
      | sP37
      | c0_1(X86) ),
    inference(cnf_transformation,[],[f278_D]) ).

fof(f278_D,plain,
    ( ! [X86] :
        ( ~ c1_1(X86)
        | c3_1(X86)
        | c0_1(X86) )
  <=> ~ sP37 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP37])]) ).

fof(f59,plain,
    ! [X86,X85] :
      ( hskp27
      | ~ c3_1(X85)
      | c2_1(X85)
      | ~ ndr1_0
      | c0_1(X85)
      | ~ ndr1_0
      | ~ c1_1(X86)
      | c0_1(X86)
      | c3_1(X86) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1315,plain,
    ( spl55_57
    | ~ spl55_148
    | ~ spl55_1
    | spl55_40 ),
    inference(avatar_split_clause,[],[f323,f528,f361,f1058,f604]) ).

fof(f1058,plain,
    ( spl55_148
  <=> sP18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_148])]) ).

fof(f323,plain,
    ! [X45] :
      ( c1_1(X45)
      | ~ ndr1_0
      | ~ sP18
      | ~ c2_1(X45)
      | hskp5
      | ~ c3_1(X45) ),
    inference(duplicate_literal_removal,[],[f241]) ).

fof(f241,plain,
    ! [X45] :
      ( ~ ndr1_0
      | hskp5
      | ~ ndr1_0
      | ~ sP18
      | ~ c2_1(X45)
      | c1_1(X45)
      | ~ c3_1(X45) ),
    inference(general_splitting,[],[f129,f240_D]) ).

fof(f240,plain,
    ! [X44] :
      ( c0_1(X44)
      | sP18
      | ~ c1_1(X44)
      | c2_1(X44) ),
    inference(cnf_transformation,[],[f240_D]) ).

fof(f240_D,plain,
    ( ! [X44] :
        ( c0_1(X44)
        | ~ c1_1(X44)
        | c2_1(X44) )
  <=> ~ sP18 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP18])]) ).

fof(f129,plain,
    ! [X44,X45] :
      ( hskp5
      | c0_1(X44)
      | ~ c1_1(X44)
      | c2_1(X44)
      | ~ ndr1_0
      | ~ c3_1(X45)
      | ~ c2_1(X45)
      | ~ ndr1_0
      | c1_1(X45) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1314,plain,
    ( ~ spl55_1
    | spl55_97
    | spl55_4
    | spl55_39 ),
    inference(avatar_split_clause,[],[f20,f524,f374,f789,f361]) ).

fof(f524,plain,
    ( spl55_39
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_39])]) ).

fof(f20,plain,
    ! [X117] :
      ( hskp22
      | c1_1(X117)
      | hskp7
      | c2_1(X117)
      | ~ c0_1(X117)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1313,plain,
    ( spl55_2
    | ~ spl55_1
    | ~ spl55_126
    | spl55_33 ),
    inference(avatar_split_clause,[],[f324,f498,f941,f361,f365]) ).

fof(f941,plain,
    ( spl55_126
  <=> sP14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_126])]) ).

fof(f324,plain,
    ! [X37] :
      ( ~ c3_1(X37)
      | ~ sP14
      | ~ ndr1_0
      | hskp12
      | c2_1(X37)
      | c1_1(X37) ),
    inference(duplicate_literal_removal,[],[f233]) ).

fof(f233,plain,
    ! [X37] :
      ( ~ c3_1(X37)
      | ~ sP14
      | c2_1(X37)
      | ~ ndr1_0
      | hskp12
      | ~ ndr1_0
      | c1_1(X37) ),
    inference(general_splitting,[],[f136,f232_D]) ).

fof(f232,plain,
    ! [X38] :
      ( c3_1(X38)
      | sP14
      | c1_1(X38)
      | c2_1(X38) ),
    inference(cnf_transformation,[],[f232_D]) ).

fof(f232_D,plain,
    ( ! [X38] :
        ( c3_1(X38)
        | c1_1(X38)
        | c2_1(X38) )
  <=> ~ sP14 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP14])]) ).

fof(f136,plain,
    ! [X38,X37] :
      ( c1_1(X37)
      | ~ c3_1(X37)
      | c2_1(X37)
      | ~ ndr1_0
      | c1_1(X38)
      | c3_1(X38)
      | ~ ndr1_0
      | c2_1(X38)
      | hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1312,plain,
    ( ~ spl55_192
    | ~ spl55_62 ),
    inference(avatar_split_clause,[],[f171,f626,f1309]) ).

fof(f171,plain,
    ( ~ hskp0
    | ~ c0_1(a322) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1307,plain,
    ( ~ spl55_191
    | ~ spl55_172
    | ~ spl55_1
    | spl55_96 ),
    inference(avatar_split_clause,[],[f325,f785,f361,f1183,f1304]) ).

fof(f1183,plain,
    ( spl55_172
  <=> sP17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_172])]) ).

fof(f325,plain,
    ! [X43] :
      ( ~ c1_1(X43)
      | ~ c3_1(X43)
      | ~ ndr1_0
      | c2_1(X43)
      | ~ sP17
      | ~ sP16 ),
    inference(duplicate_literal_removal,[],[f239]) ).

fof(f239,plain,
    ! [X43] :
      ( ~ sP16
      | ~ ndr1_0
      | ~ sP17
      | c2_1(X43)
      | ~ c3_1(X43)
      | ~ ndr1_0
      | ~ c1_1(X43)
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f237,f238_D]) ).

fof(f238,plain,
    ! [X42] :
      ( c2_1(X42)
      | sP17
      | c1_1(X42)
      | ~ c3_1(X42) ),
    inference(cnf_transformation,[],[f238_D]) ).

fof(f238_D,plain,
    ( ! [X42] :
        ( c2_1(X42)
        | c1_1(X42)
        | ~ c3_1(X42) )
  <=> ~ sP17 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP17])]) ).

fof(f237,plain,
    ! [X42,X43] :
      ( ~ ndr1_0
      | c1_1(X42)
      | ~ ndr1_0
      | ~ c3_1(X42)
      | c2_1(X42)
      | c2_1(X43)
      | ~ ndr1_0
      | ~ c3_1(X43)
      | ~ c1_1(X43)
      | ~ sP16 ),
    inference(general_splitting,[],[f130,f236_D]) ).

fof(f130,plain,
    ! [X41,X42,X43] :
      ( ~ ndr1_0
      | ~ c0_1(X41)
      | ~ c2_1(X41)
      | ~ c1_1(X41)
      | c1_1(X42)
      | ~ ndr1_0
      | ~ c3_1(X42)
      | c2_1(X42)
      | c2_1(X43)
      | ~ ndr1_0
      | ~ c3_1(X43)
      | ~ c1_1(X43) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1302,plain,
    ( spl55_17
    | spl55_97 ),
    inference(avatar_split_clause,[],[f91,f789,f429]) ).

fof(f429,plain,
    ( spl55_17
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_17])]) ).

fof(f91,plain,
    ( hskp7
    | hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1301,plain,
    ( ~ spl55_18
    | ~ spl55_190 ),
    inference(avatar_split_clause,[],[f194,f1298,f433]) ).

fof(f433,plain,
    ( spl55_18
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_18])]) ).

fof(f194,plain,
    ( ~ c1_1(a324)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1295,plain,
    ( spl55_144
    | spl55_74 ),
    inference(avatar_split_clause,[],[f256,f681,f1035]) ).

fof(f1035,plain,
    ( spl55_144
  <=> sP26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_144])]) ).

fof(f256,plain,
    ! [X60] :
      ( ~ c3_1(X60)
      | ~ c1_1(X60)
      | ~ c2_1(X60)
      | sP26 ),
    inference(cnf_transformation,[],[f256_D]) ).

fof(f256_D,plain,
    ( ! [X60] :
        ( ~ c3_1(X60)
        | ~ c1_1(X60)
        | ~ c2_1(X60) )
  <=> ~ sP26 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP26])]) ).

fof(f1294,plain,
    ( spl55_135
    | spl55_50 ),
    inference(avatar_split_clause,[],[f206,f573,f989]) ).

fof(f573,plain,
    ( spl55_50
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_50])]) ).

fof(f206,plain,
    ! [X2] :
      ( sP1
      | c0_1(X2)
      | c2_1(X2)
      | ~ c3_1(X2) ),
    inference(cnf_transformation,[],[f206_D]) ).

fof(f206_D,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | ~ c3_1(X2) )
  <=> ~ sP1 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f1293,plain,
    ( spl55_189
    | ~ spl55_23 ),
    inference(avatar_split_clause,[],[f145,f454,f1290]) ).

fof(f145,plain,
    ( ~ hskp27
    | c1_1(a341) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1286,plain,
    ( spl55_38
    | spl55_162 ),
    inference(avatar_split_clause,[],[f300,f1132,f519]) ).

fof(f519,plain,
    ( spl55_38
  <=> sP48 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_38])]) ).

fof(f300,plain,
    ! [X111] :
      ( c3_1(X111)
      | c1_1(X111)
      | ~ c2_1(X111)
      | sP48 ),
    inference(cnf_transformation,[],[f300_D]) ).

fof(f300_D,plain,
    ( ! [X111] :
        ( c3_1(X111)
        | c1_1(X111)
        | ~ c2_1(X111) )
  <=> ~ sP48 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP48])]) ).

fof(f1285,plain,
    ( spl55_188
    | ~ spl55_19 ),
    inference(avatar_split_clause,[],[f69,f437,f1282]) ).

fof(f69,plain,
    ( ~ hskp26
    | c0_1(a333) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1279,plain,
    ( spl55_187
    | ~ spl55_97 ),
    inference(avatar_split_clause,[],[f105,f789,f1276]) ).

fof(f105,plain,
    ( ~ hskp7
    | c3_1(a330) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1274,plain,
    ( ~ spl55_186
    | ~ spl55_125 ),
    inference(avatar_split_clause,[],[f134,f936,f1271]) ).

fof(f134,plain,
    ( ~ hskp18
    | ~ c2_1(a354) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1266,plain,
    ( spl55_57
    | spl55_35
    | spl55_81
    | ~ spl55_1 ),
    inference(avatar_split_clause,[],[f197,f361,f712,f506,f604]) ).

fof(f197,plain,
    ! [X4] :
      ( ~ ndr1_0
      | c3_1(X4)
      | c2_1(X4)
      | hskp14
      | hskp5
      | c1_1(X4) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1256,plain,
    ( ~ spl55_7
    | spl55_184 ),
    inference(avatar_split_clause,[],[f162,f1253,f387]) ).

fof(f162,plain,
    ( c0_1(a326)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1244,plain,
    ( ~ spl55_82
    | ~ spl55_1
    | spl55_52
    | spl55_37 ),
    inference(avatar_split_clause,[],[f329,f516,f582,f361,f715]) ).

fof(f715,plain,
    ( spl55_82
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_82])]) ).

fof(f582,plain,
    ( spl55_52
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_52])]) ).

fof(f329,plain,
    ! [X25] :
      ( c1_1(X25)
      | hskp20
      | ~ ndr1_0
      | ~ c3_1(X25)
      | ~ sP9
      | ~ c0_1(X25) ),
    inference(duplicate_literal_removal,[],[f223]) ).

fof(f223,plain,
    ! [X25] :
      ( ~ c0_1(X25)
      | ~ c3_1(X25)
      | c1_1(X25)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP9
      | hskp20 ),
    inference(general_splitting,[],[f153,f222_D]) ).

fof(f222,plain,
    ! [X26] :
      ( sP9
      | c2_1(X26)
      | c1_1(X26)
      | c3_1(X26) ),
    inference(cnf_transformation,[],[f222_D]) ).

fof(f222_D,plain,
    ( ! [X26] :
        ( c2_1(X26)
        | c1_1(X26)
        | c3_1(X26) )
  <=> ~ sP9 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP9])]) ).

fof(f153,plain,
    ! [X26,X25] :
      ( ~ ndr1_0
      | ~ c3_1(X25)
      | c1_1(X25)
      | ~ c0_1(X25)
      | ~ ndr1_0
      | c1_1(X26)
      | c3_1(X26)
      | c2_1(X26)
      | hskp20 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1226,plain,
    ( ~ spl55_36
    | ~ spl55_179 ),
    inference(avatar_split_clause,[],[f97,f1223,f511]) ).

fof(f97,plain,
    ( ~ c3_1(a355)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1221,plain,
    ( ~ spl55_178
    | ~ spl55_7 ),
    inference(avatar_split_clause,[],[f163,f387,f1218]) ).

fof(f163,plain,
    ( ~ hskp4
    | ~ c1_1(a326) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1216,plain,
    ( spl55_177
    | ~ spl55_57 ),
    inference(avatar_split_clause,[],[f124,f604,f1213]) ).

fof(f124,plain,
    ( ~ hskp5
    | c0_1(a327) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1208,plain,
    ( spl55_26
    | spl55_176 ),
    inference(avatar_split_clause,[],[f218,f1205,f468]) ).

fof(f1202,plain,
    ( ~ spl55_175
    | ~ spl55_103 ),
    inference(avatar_split_clause,[],[f19,f819,f1199]) ).

fof(f19,plain,
    ( ~ hskp11
    | ~ c2_1(a338) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1197,plain,
    ( ~ spl55_18
    | ~ spl55_174 ),
    inference(avatar_split_clause,[],[f196,f1194,f433]) ).

fof(f196,plain,
    ( ~ c3_1(a324)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1191,plain,
    ( ~ spl55_46
    | ~ spl55_173 ),
    inference(avatar_split_clause,[],[f99,f1188,f555]) ).

fof(f555,plain,
    ( spl55_46
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_46])]) ).

fof(f99,plain,
    ( ~ c1_1(a419)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1186,plain,
    ( spl55_172
    | spl55_33 ),
    inference(avatar_split_clause,[],[f238,f498,f1183]) ).

fof(f1181,plain,
    ( ~ spl55_31
    | ~ spl55_171 ),
    inference(avatar_split_clause,[],[f81,f1178,f489]) ).

fof(f489,plain,
    ( spl55_31
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_31])]) ).

fof(f81,plain,
    ( ~ c3_1(a337)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1176,plain,
    ( ~ spl55_2
    | spl55_170 ),
    inference(avatar_split_clause,[],[f181,f1173,f365]) ).

fof(f181,plain,
    ( c0_1(a345)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1171,plain,
    ( ~ spl55_31
    | spl55_169 ),
    inference(avatar_split_clause,[],[f84,f1168,f489]) ).

fof(f84,plain,
    ( c0_1(a337)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1166,plain,
    ( ~ spl55_3
    | spl55_19
    | spl55_168
    | ~ spl55_1 ),
    inference(avatar_split_clause,[],[f335,f361,f1164,f437,f370]) ).

fof(f370,plain,
    ( spl55_3
  <=> sP40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_3])]) ).

fof(f335,plain,
    ! [X91] :
      ( ~ ndr1_0
      | c1_1(X91)
      | hskp26
      | ~ sP40
      | ~ c3_1(X91)
      | c0_1(X91) ),
    inference(duplicate_literal_removal,[],[f285]) ).

fof(f285,plain,
    ! [X91] :
      ( ~ ndr1_0
      | ~ ndr1_0
      | c0_1(X91)
      | ~ sP40
      | c1_1(X91)
      | ~ c3_1(X91)
      | hskp26 ),
    inference(general_splitting,[],[f53,f284_D]) ).

fof(f284,plain,
    ! [X90] :
      ( c2_1(X90)
      | sP40
      | c1_1(X90)
      | ~ c0_1(X90) ),
    inference(cnf_transformation,[],[f284_D]) ).

fof(f284_D,plain,
    ( ! [X90] :
        ( c2_1(X90)
        | c1_1(X90)
        | ~ c0_1(X90) )
  <=> ~ sP40 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP40])]) ).

fof(f53,plain,
    ! [X90,X91] :
      ( hskp26
      | ~ c0_1(X90)
      | c2_1(X90)
      | c1_1(X90)
      | ~ ndr1_0
      | ~ ndr1_0
      | c1_1(X91)
      | c0_1(X91)
      | ~ c3_1(X91) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1161,plain,
    ( ~ spl55_1
    | spl55_59
    | spl55_9
    | spl55_21 ),
    inference(avatar_split_clause,[],[f186,f446,f396,f613,f361]) ).

fof(f613,plain,
    ( spl55_59
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_59])]) ).

fof(f396,plain,
    ( spl55_9
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_9])]) ).

fof(f186,plain,
    ! [X13] :
      ( c0_1(X13)
      | ~ c2_1(X13)
      | ~ c1_1(X13)
      | hskp16
      | hskp9
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1160,plain,
    ( spl55_154
    | spl55_42 ),
    inference(avatar_split_clause,[],[f302,f536,f1090]) ).

fof(f1090,plain,
    ( spl55_154
  <=> sP49 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_154])]) ).

fof(f302,plain,
    ! [X113] :
      ( c0_1(X113)
      | ~ c1_1(X113)
      | sP49
      | c2_1(X113) ),
    inference(cnf_transformation,[],[f302_D]) ).

fof(f302_D,plain,
    ( ! [X113] :
        ( c0_1(X113)
        | ~ c1_1(X113)
        | c2_1(X113) )
  <=> ~ sP49 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP49])]) ).

fof(f1159,plain,
    ( ~ spl55_43
    | ~ spl55_167 ),
    inference(avatar_split_clause,[],[f50,f1156,f540]) ).

fof(f50,plain,
    ( ~ c1_1(a323)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1142,plain,
    ( spl55_51
    | spl55_16
    | spl55_97
    | ~ spl55_1 ),
    inference(avatar_split_clause,[],[f175,f361,f789,f425,f577]) ).

fof(f175,plain,
    ! [X16] :
      ( ~ ndr1_0
      | hskp7
      | ~ c2_1(X16)
      | ~ c1_1(X16)
      | hskp28
      | c3_1(X16) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1139,plain,
    ( ~ spl55_163
    | ~ spl55_97 ),
    inference(avatar_split_clause,[],[f107,f789,f1136]) ).

fof(f107,plain,
    ( ~ hskp7
    | ~ c1_1(a330) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1126,plain,
    ( ~ spl55_160
    | ~ spl55_25 ),
    inference(avatar_split_clause,[],[f28,f463,f1123]) ).

fof(f28,plain,
    ( ~ hskp17
    | ~ c0_1(a353) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1120,plain,
    ( spl55_139
    | spl55_135 ),
    inference(avatar_split_clause,[],[f268,f989,f1007]) ).

fof(f1007,plain,
    ( spl55_139
  <=> sP32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_139])]) ).

fof(f268,plain,
    ! [X72] :
      ( ~ c3_1(X72)
      | c2_1(X72)
      | sP32
      | c0_1(X72) ),
    inference(cnf_transformation,[],[f268_D]) ).

fof(f268_D,plain,
    ( ! [X72] :
        ( ~ c3_1(X72)
        | c2_1(X72)
        | c0_1(X72) )
  <=> ~ sP32 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP32])]) ).

fof(f1119,plain,
    ( spl55_159
    | ~ spl55_19 ),
    inference(avatar_split_clause,[],[f72,f437,f1116]) ).

fof(f72,plain,
    ( ~ hskp26
    | c3_1(a333) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1114,plain,
    ( spl55_81
    | spl55_83 ),
    inference(avatar_split_clause,[],[f262,f720,f712]) ).

fof(f720,plain,
    ( spl55_83
  <=> sP29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_83])]) ).

fof(f262,plain,
    ! [X65] :
      ( sP29
      | c1_1(X65)
      | c2_1(X65)
      | c3_1(X65) ),
    inference(cnf_transformation,[],[f262_D]) ).

fof(f262_D,plain,
    ( ! [X65] :
        ( c1_1(X65)
        | c2_1(X65)
        | c3_1(X65) )
  <=> ~ sP29 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP29])]) ).

fof(f1113,plain,
    ( spl55_158
    | ~ spl55_9 ),
    inference(avatar_split_clause,[],[f151,f396,f1110]) ).

fof(f151,plain,
    ( ~ hskp16
    | c3_1(a349) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1108,plain,
    ( spl55_157
    | ~ spl55_35 ),
    inference(avatar_split_clause,[],[f62,f506,f1105]) ).

fof(f62,plain,
    ( ~ hskp14
    | c2_1(a347) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1103,plain,
    ( ~ spl55_156
    | ~ spl55_57 ),
    inference(avatar_split_clause,[],[f126,f604,f1100]) ).

fof(f126,plain,
    ( ~ hskp5
    | ~ c3_1(a327) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1098,plain,
    ( spl55_155
    | ~ spl55_59 ),
    inference(avatar_split_clause,[],[f35,f613,f1095]) ).

fof(f35,plain,
    ( ~ hskp9
    | c2_1(a334) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1093,plain,
    ( ~ spl55_1
    | spl55_7
    | ~ spl55_154
    | spl55_16 ),
    inference(avatar_split_clause,[],[f338,f425,f1090,f387,f361]) ).

fof(f338,plain,
    ! [X112] :
      ( ~ c1_1(X112)
      | c3_1(X112)
      | ~ c2_1(X112)
      | ~ sP49
      | hskp4
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f303]) ).

fof(f303,plain,
    ! [X112] :
      ( ~ sP49
      | ~ ndr1_0
      | ~ c2_1(X112)
      | ~ c1_1(X112)
      | c3_1(X112)
      | ~ ndr1_0
      | hskp4 ),
    inference(general_splitting,[],[f23,f302_D]) ).

fof(f23,plain,
    ! [X113,X112] :
      ( c3_1(X112)
      | ~ c2_1(X112)
      | ~ c1_1(X112)
      | ~ ndr1_0
      | hskp4
      | c0_1(X113)
      | ~ ndr1_0
      | ~ c1_1(X113)
      | c2_1(X113) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1079,plain,
    ( spl55_151
    | spl55_130 ),
    inference(avatar_split_clause,[],[f278,f965,f1076]) ).

fof(f1074,plain,
    ( ~ spl55_150
    | ~ spl55_2 ),
    inference(avatar_split_clause,[],[f182,f365,f1071]) ).

fof(f182,plain,
    ( ~ hskp12
    | ~ c2_1(a345) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1069,plain,
    ( spl55_51
    | ~ spl55_1
    | spl55_23
    | spl55_26 ),
    inference(avatar_split_clause,[],[f188,f468,f454,f361,f577]) ).

fof(f188,plain,
    ! [X9] :
      ( c2_1(X9)
      | hskp27
      | ~ ndr1_0
      | ~ c0_1(X9)
      | c3_1(X9)
      | hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1068,plain,
    ( ~ spl55_43
    | ~ spl55_149 ),
    inference(avatar_split_clause,[],[f48,f1065,f540]) ).

fof(f48,plain,
    ( ~ c3_1(a323)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1062,plain,
    ( spl55_103
    | spl55_25
    | spl55_125 ),
    inference(avatar_split_clause,[],[f189,f936,f463,f819]) ).

fof(f189,plain,
    ( hskp18
    | hskp17
    | hskp11 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1061,plain,
    ( spl55_148
    | spl55_42 ),
    inference(avatar_split_clause,[],[f240,f536,f1058]) ).

fof(f1055,plain,
    ( ~ spl55_1
    | ~ spl55_145
    | spl55_2
    | spl55_137 ),
    inference(avatar_split_clause,[],[f341,f999,f365,f1041,f361]) ).

fof(f1041,plain,
    ( spl55_145
  <=> sP31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_145])]) ).

fof(f341,plain,
    ! [X71] :
      ( ~ c2_1(X71)
      | hskp12
      | c3_1(X71)
      | ~ sP31
      | c0_1(X71)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f267]) ).

fof(f267,plain,
    ! [X71] :
      ( ~ sP31
      | ~ c2_1(X71)
      | hskp12
      | c0_1(X71)
      | c3_1(X71)
      | ~ ndr1_0
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f93,f266_D]) ).

fof(f266,plain,
    ! [X70] :
      ( ~ c3_1(X70)
      | sP31
      | c1_1(X70)
      | ~ c0_1(X70) ),
    inference(cnf_transformation,[],[f266_D]) ).

fof(f266_D,plain,
    ( ! [X70] :
        ( ~ c3_1(X70)
        | c1_1(X70)
        | ~ c0_1(X70) )
  <=> ~ sP31 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP31])]) ).

fof(f93,plain,
    ! [X70,X71] :
      ( ~ c3_1(X70)
      | c1_1(X70)
      | ~ ndr1_0
      | ~ c0_1(X70)
      | hskp12
      | c0_1(X71)
      | ~ ndr1_0
      | ~ c2_1(X71)
      | c3_1(X71) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1049,plain,
    ( ~ spl55_51
    | spl55_146 ),
    inference(avatar_split_clause,[],[f177,f1046,f577]) ).

fof(f177,plain,
    ( c0_1(a343)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1044,plain,
    ( spl55_145
    | spl55_37 ),
    inference(avatar_split_clause,[],[f266,f516,f1041]) ).

fof(f1038,plain,
    ( ~ spl55_1
    | spl55_52
    | ~ spl55_144
    | spl55_66 ),
    inference(avatar_split_clause,[],[f342,f645,f1035,f582,f361]) ).

fof(f342,plain,
    ! [X61] :
      ( ~ c1_1(X61)
      | ~ c0_1(X61)
      | ~ sP26
      | hskp20
      | ~ ndr1_0
      | c2_1(X61) ),
    inference(duplicate_literal_removal,[],[f257]) ).

fof(f257,plain,
    ! [X61] :
      ( ~ c0_1(X61)
      | ~ c1_1(X61)
      | hskp20
      | ~ sP26
      | ~ ndr1_0
      | c2_1(X61)
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f116,f256_D]) ).

fof(f116,plain,
    ! [X60,X61] :
      ( ~ c3_1(X60)
      | ~ c1_1(X60)
      | ~ ndr1_0
      | ~ c2_1(X60)
      | ~ ndr1_0
      | ~ c1_1(X61)
      | c2_1(X61)
      | ~ c0_1(X61)
      | hskp20 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1033,plain,
    ( ~ spl55_8
    | spl55_143 ),
    inference(avatar_split_clause,[],[f86,f1030,f391]) ).

fof(f391,plain,
    ( spl55_8
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_8])]) ).

fof(f86,plain,
    ( c0_1(a346)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1027,plain,
    ( ~ spl55_39
    | spl55_142 ),
    inference(avatar_split_clause,[],[f14,f1024,f524]) ).

fof(f14,plain,
    ( c3_1(a367)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1022,plain,
    ( ~ spl55_1
    | spl55_18
    | spl55_43
    | spl55_10 ),
    inference(avatar_split_clause,[],[f52,f400,f540,f433,f361]) ).

fof(f52,plain,
    ! [X92] :
      ( ~ c2_1(X92)
      | hskp1
      | c3_1(X92)
      | hskp2
      | ~ ndr1_0
      | ~ c0_1(X92) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1020,plain,
    ( ~ spl55_141
    | ~ spl55_103 ),
    inference(avatar_split_clause,[],[f17,f819,f1017]) ).

fof(f17,plain,
    ( ~ hskp11
    | ~ c1_1(a338) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1015,plain,
    ( ~ spl55_140
    | ~ spl55_59 ),
    inference(avatar_split_clause,[],[f33,f613,f1012]) ).

fof(f33,plain,
    ( ~ hskp9
    | ~ c0_1(a334) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1010,plain,
    ( ~ spl55_1
    | ~ spl55_138
    | ~ spl55_139
    | spl55_40 ),
    inference(avatar_split_clause,[],[f344,f528,f1007,f1003,f361]) ).

fof(f344,plain,
    ! [X74] :
      ( ~ c3_1(X74)
      | ~ sP32
      | c1_1(X74)
      | ~ sP33
      | ~ c2_1(X74)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f271]) ).

fof(f271,plain,
    ! [X74] :
      ( ~ ndr1_0
      | ~ c2_1(X74)
      | ~ ndr1_0
      | ~ c3_1(X74)
      | ~ ndr1_0
      | ~ sP33
      | ~ sP32
      | c1_1(X74) ),
    inference(general_splitting,[],[f269,f270_D]) ).

fof(f269,plain,
    ! [X73,X74] :
      ( ~ ndr1_0
      | c2_1(X73)
      | ~ c0_1(X73)
      | ~ ndr1_0
      | c1_1(X73)
      | ~ c2_1(X74)
      | c1_1(X74)
      | ~ c3_1(X74)
      | ~ ndr1_0
      | ~ sP32 ),
    inference(general_splitting,[],[f92,f268_D]) ).

fof(f92,plain,
    ! [X72,X73,X74] :
      ( c2_1(X72)
      | ~ ndr1_0
      | c0_1(X72)
      | ~ c3_1(X72)
      | c2_1(X73)
      | ~ c0_1(X73)
      | ~ ndr1_0
      | c1_1(X73)
      | ~ c2_1(X74)
      | c1_1(X74)
      | ~ c3_1(X74)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f991,plain,
    ( spl55_111
    | spl55_135 ),
    inference(avatar_split_clause,[],[f252,f989,f863]) ).

fof(f863,plain,
    ( spl55_111
  <=> sP24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_111])]) ).

fof(f252,plain,
    ! [X56] :
      ( ~ c3_1(X56)
      | sP24
      | c2_1(X56)
      | c0_1(X56) ),
    inference(cnf_transformation,[],[f252_D]) ).

fof(f252_D,plain,
    ( ! [X56] :
        ( ~ c3_1(X56)
        | c2_1(X56)
        | c0_1(X56) )
  <=> ~ sP24 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP24])]) ).

fof(f987,plain,
    ( spl55_134
    | ~ spl55_23 ),
    inference(avatar_split_clause,[],[f143,f454,f984]) ).

fof(f143,plain,
    ( ~ hskp27
    | c2_1(a341) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f982,plain,
    ( spl55_46
    | spl55_43
    | spl55_103 ),
    inference(avatar_split_clause,[],[f165,f819,f540,f555]) ).

fof(f165,plain,
    ( hskp11
    | hskp1
    | hskp25 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f981,plain,
    ( spl55_133
    | ~ spl55_20 ),
    inference(avatar_split_clause,[],[f155,f442,f978]) ).

fof(f442,plain,
    ( spl55_20
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_20])]) ).

fof(f155,plain,
    ( ~ hskp15
    | c0_1(a348) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f963,plain,
    ( ~ spl55_5
    | spl55_129 ),
    inference(avatar_split_clause,[],[f76,f960,f378]) ).

fof(f76,plain,
    ( c0_1(a325)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f958,plain,
    ( spl55_31
    | spl55_5
    | spl55_10
    | ~ spl55_1 ),
    inference(avatar_split_clause,[],[f42,f361,f400,f378,f489]) ).

fof(f42,plain,
    ! [X95] :
      ( ~ ndr1_0
      | ~ c2_1(X95)
      | hskp3
      | c3_1(X95)
      | hskp10
      | ~ c0_1(X95) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f957,plain,
    ( spl55_46
    | spl55_9 ),
    inference(avatar_split_clause,[],[f140,f396,f555]) ).

fof(f140,plain,
    ( hskp16
    | hskp25 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f956,plain,
    ( spl55_128
    | ~ spl55_5 ),
    inference(avatar_split_clause,[],[f75,f378,f953]) ).

fof(f75,plain,
    ( ~ hskp3
    | c1_1(a325) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f944,plain,
    ( spl55_126
    | spl55_81 ),
    inference(avatar_split_clause,[],[f232,f712,f941]) ).

fof(f939,plain,
    ( ~ spl55_125
    | spl55_1 ),
    inference(avatar_split_clause,[],[f133,f361,f936]) ).

fof(f133,plain,
    ( ndr1_0
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f934,plain,
    ( ~ spl55_124
    | ~ spl55_52 ),
    inference(avatar_split_clause,[],[f80,f582,f931]) ).

fof(f80,plain,
    ( ~ hskp20
    | ~ c0_1(a358) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f929,plain,
    ( spl55_123
    | spl55_110 ),
    inference(avatar_split_clause,[],[f220,f859,f926]) ).

fof(f919,plain,
    ( spl55_8
    | ~ spl55_1
    | spl55_2
    | spl55_66 ),
    inference(avatar_split_clause,[],[f8,f645,f365,f361,f391]) ).

fof(f8,plain,
    ! [X125] :
      ( c2_1(X125)
      | ~ c1_1(X125)
      | hskp12
      | ~ c0_1(X125)
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f918,plain,
    ( ~ spl55_9
    | spl55_121 ),
    inference(avatar_split_clause,[],[f149,f915,f396]) ).

fof(f149,plain,
    ( c1_1(a349)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f900,plain,
    ( spl55_5
    | spl55_74
    | spl55_31
    | ~ spl55_1 ),
    inference(avatar_split_clause,[],[f67,f361,f489,f681,f378]) ).

fof(f67,plain,
    ! [X80] :
      ( ~ ndr1_0
      | hskp10
      | ~ c1_1(X80)
      | hskp3
      | ~ c3_1(X80)
      | ~ c2_1(X80) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f899,plain,
    ( spl55_117
    | ~ spl55_62 ),
    inference(avatar_split_clause,[],[f174,f626,f896]) ).

fof(f174,plain,
    ( ~ hskp0
    | c2_1(a322) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f894,plain,
    ( ~ spl55_17
    | ~ spl55_116 ),
    inference(avatar_split_clause,[],[f169,f891,f429]) ).

fof(f169,plain,
    ( ~ c2_1(a401)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f887,plain,
    ( ~ spl55_39
    | ~ spl55_115 ),
    inference(avatar_split_clause,[],[f12,f884,f524]) ).

fof(f12,plain,
    ( ~ c2_1(a367)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f882,plain,
    ( ~ spl55_15
    | ~ spl55_114
    | ~ spl55_1
    | spl55_14 ),
    inference(avatar_split_clause,[],[f347,f417,f361,f879,f421]) ).

fof(f421,plain,
    ( spl55_15
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_15])]) ).

fof(f347,plain,
    ! [X12] :
      ( ~ c2_1(X12)
      | ~ c0_1(X12)
      | ~ ndr1_0
      | ~ sP4
      | ~ c1_1(X12)
      | ~ sP3 ),
    inference(duplicate_literal_removal,[],[f213]) ).

fof(f213,plain,
    ! [X12] :
      ( ~ sP3
      | ~ c0_1(X12)
      | ~ ndr1_0
      | ~ sP4
      | ~ c2_1(X12)
      | ~ ndr1_0
      | ~ c1_1(X12)
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f211,f212_D]) ).

fof(f211,plain,
    ! [X11,X12] :
      ( ~ ndr1_0
      | c0_1(X11)
      | ~ ndr1_0
      | c2_1(X11)
      | ~ c1_1(X11)
      | ~ ndr1_0
      | ~ c0_1(X12)
      | ~ c2_1(X12)
      | ~ c1_1(X12)
      | ~ sP3 ),
    inference(general_splitting,[],[f187,f210_D]) ).

fof(f210,plain,
    ! [X10] :
      ( ~ c1_1(X10)
      | sP3
      | ~ c2_1(X10)
      | c3_1(X10) ),
    inference(cnf_transformation,[],[f210_D]) ).

fof(f210_D,plain,
    ( ! [X10] :
        ( ~ c1_1(X10)
        | ~ c2_1(X10)
        | c3_1(X10) )
  <=> ~ sP3 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).

fof(f187,plain,
    ! [X10,X11,X12] :
      ( ~ c1_1(X10)
      | ~ ndr1_0
      | c3_1(X10)
      | ~ c2_1(X10)
      | c0_1(X11)
      | ~ ndr1_0
      | c2_1(X11)
      | ~ c1_1(X11)
      | ~ ndr1_0
      | ~ c0_1(X12)
      | ~ c2_1(X12)
      | ~ c1_1(X12) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f877,plain,
    ( spl55_17
    | ~ spl55_1
    | spl55_25
    | spl55_14 ),
    inference(avatar_split_clause,[],[f31,f417,f463,f361,f429]) ).

fof(f31,plain,
    ! [X105] :
      ( ~ c1_1(X105)
      | hskp17
      | ~ c2_1(X105)
      | ~ ndr1_0
      | hskp24
      | ~ c0_1(X105) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f876,plain,
    ( ~ spl55_35
    | spl55_113 ),
    inference(avatar_split_clause,[],[f61,f873,f506]) ).

fof(f61,plain,
    ( c3_1(a347)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f866,plain,
    ( ~ spl55_1
    | spl55_43
    | ~ spl55_111
    | spl55_88 ),
    inference(avatar_split_clause,[],[f348,f745,f863,f540,f361]) ).

fof(f348,plain,
    ! [X55] :
      ( c0_1(X55)
      | ~ sP24
      | c2_1(X55)
      | c1_1(X55)
      | hskp1
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f253]) ).

fof(f253,plain,
    ! [X55] :
      ( hskp1
      | c0_1(X55)
      | c1_1(X55)
      | c2_1(X55)
      | ~ ndr1_0
      | ~ sP24
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f120,f252_D]) ).

fof(f120,plain,
    ! [X56,X55] :
      ( hskp1
      | c1_1(X55)
      | c0_1(X55)
      | ~ ndr1_0
      | c2_1(X55)
      | ~ c3_1(X56)
      | ~ ndr1_0
      | c2_1(X56)
      | c0_1(X56) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f856,plain,
    ( spl55_41
    | spl55_74 ),
    inference(avatar_split_clause,[],[f296,f681,f531]) ).

fof(f531,plain,
    ( spl55_41
  <=> sP46 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_41])]) ).

fof(f296,plain,
    ! [X106] :
      ( ~ c1_1(X106)
      | sP46
      | ~ c3_1(X106)
      | ~ c2_1(X106) ),
    inference(cnf_transformation,[],[f296_D]) ).

fof(f296_D,plain,
    ( ! [X106] :
        ( ~ c1_1(X106)
        | ~ c3_1(X106)
        | ~ c2_1(X106) )
  <=> ~ sP46 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP46])]) ).

fof(f855,plain,
    ( ~ spl55_109
    | ~ spl55_20 ),
    inference(avatar_split_clause,[],[f156,f442,f852]) ).

fof(f156,plain,
    ( ~ hskp15
    | ~ c3_1(a348) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f850,plain,
    ( spl55_108
    | ~ spl55_79 ),
    inference(avatar_split_clause,[],[f58,f702,f847]) ).

fof(f702,plain,
    ( spl55_79
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_79])]) ).

fof(f58,plain,
    ( ~ hskp21
    | c3_1(a359) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f827,plain,
    ( ~ spl55_79
    | ~ spl55_104 ),
    inference(avatar_split_clause,[],[f55,f824,f702]) ).

fof(f55,plain,
    ( ~ c2_1(a359)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f822,plain,
    ( spl55_1
    | ~ spl55_103 ),
    inference(avatar_split_clause,[],[f18,f819,f361]) ).

fof(f18,plain,
    ( ~ hskp11
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f814,plain,
    ( spl55_102
    | ~ spl55_36 ),
    inference(avatar_split_clause,[],[f96,f511,f811]) ).

fof(f96,plain,
    ( ~ hskp19
    | c1_1(a355) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f801,plain,
    ( ~ spl55_17
    | ~ spl55_99 ),
    inference(avatar_split_clause,[],[f167,f798,f429]) ).

fof(f167,plain,
    ( ~ c0_1(a401)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f796,plain,
    ( ~ spl55_97
    | ~ spl55_98 ),
    inference(avatar_split_clause,[],[f104,f793,f789]) ).

fof(f104,plain,
    ( ~ c0_1(a330)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f778,plain,
    ( spl55_94
    | ~ spl55_25 ),
    inference(avatar_split_clause,[],[f26,f463,f775]) ).

fof(f26,plain,
    ( ~ hskp17
    | c1_1(a353) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f768,plain,
    ( spl55_22
    | spl55_4 ),
    inference(avatar_split_clause,[],[f234,f374,f449]) ).

fof(f449,plain,
    ( spl55_22
  <=> sP15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_22])]) ).

fof(f234,plain,
    ! [X40] :
      ( c1_1(X40)
      | ~ c0_1(X40)
      | sP15
      | c2_1(X40) ),
    inference(cnf_transformation,[],[f234_D]) ).

fof(f234_D,plain,
    ( ! [X40] :
        ( c1_1(X40)
        | ~ c0_1(X40)
        | c2_1(X40) )
  <=> ~ sP15 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP15])]) ).

fof(f767,plain,
    ( ~ spl55_92
    | ~ spl55_8 ),
    inference(avatar_split_clause,[],[f88,f391,f764]) ).

fof(f88,plain,
    ( ~ hskp13
    | ~ c3_1(a346) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f747,plain,
    ( spl55_5
    | ~ spl55_1
    | spl55_88
    | spl55_7 ),
    inference(avatar_split_clause,[],[f185,f387,f745,f361,f378]) ).

fof(f185,plain,
    ! [X14] :
      ( hskp4
      | c1_1(X14)
      | c2_1(X14)
      | ~ ndr1_0
      | c0_1(X14)
      | hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f743,plain,
    ( ~ spl55_39
    | ~ spl55_87 ),
    inference(avatar_split_clause,[],[f15,f740,f524]) ).

fof(f15,plain,
    ( ~ c1_1(a367)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f738,plain,
    ( ~ spl55_9
    | ~ spl55_86 ),
    inference(avatar_split_clause,[],[f150,f735,f396]) ).

fof(f150,plain,
    ( ~ c2_1(a349)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f733,plain,
    ( spl55_37
    | spl55_85 ),
    inference(avatar_split_clause,[],[f258,f730,f516]) ).

fof(f728,plain,
    ( spl55_84
    | ~ spl55_25 ),
    inference(avatar_split_clause,[],[f29,f463,f725]) ).

fof(f29,plain,
    ( ~ hskp17
    | c2_1(a353) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f723,plain,
    ( spl55_79
    | spl55_72
    | ~ spl55_83
    | ~ spl55_1 ),
    inference(avatar_split_clause,[],[f351,f361,f720,f673,f702]) ).

fof(f351,plain,
    ! [X66] :
      ( ~ ndr1_0
      | ~ sP29
      | ~ c1_1(X66)
      | c3_1(X66)
      | ~ c0_1(X66)
      | hskp21 ),
    inference(duplicate_literal_removal,[],[f263]) ).

fof(f263,plain,
    ! [X66] :
      ( ~ sP29
      | ~ c0_1(X66)
      | hskp21
      | ~ ndr1_0
      | c3_1(X66)
      | ~ ndr1_0
      | ~ c1_1(X66) ),
    inference(general_splitting,[],[f113,f262_D]) ).

fof(f113,plain,
    ! [X65,X66] :
      ( c1_1(X65)
      | c2_1(X65)
      | c3_1(X65)
      | ~ ndr1_0
      | hskp21
      | ~ c1_1(X66)
      | c3_1(X66)
      | ~ c0_1(X66)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f718,plain,
    ( spl55_81
    | spl55_82 ),
    inference(avatar_split_clause,[],[f222,f715,f712]) ).

fof(f710,plain,
    ( spl55_80
    | ~ spl55_51 ),
    inference(avatar_split_clause,[],[f178,f577,f707]) ).

fof(f178,plain,
    ( ~ hskp28
    | c2_1(a343) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f705,plain,
    ( ~ spl55_78
    | ~ spl55_79 ),
    inference(avatar_split_clause,[],[f56,f702,f698]) ).

fof(f56,plain,
    ( ~ hskp21
    | ~ c0_1(a359) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f696,plain,
    ( ~ spl55_77
    | ~ spl55_46 ),
    inference(avatar_split_clause,[],[f98,f555,f693]) ).

fof(f98,plain,
    ( ~ hskp25
    | ~ c2_1(a419) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f667,plain,
    ( ~ spl55_70
    | ~ spl55_18 ),
    inference(avatar_split_clause,[],[f193,f433,f664]) ).

fof(f193,plain,
    ( ~ hskp2
    | ~ c0_1(a324) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f662,plain,
    ( spl55_69
    | ~ spl55_51 ),
    inference(avatar_split_clause,[],[f179,f577,f659]) ).

fof(f179,plain,
    ( ~ hskp28
    | c1_1(a343) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f657,plain,
    ( spl55_68
    | ~ spl55_52 ),
    inference(avatar_split_clause,[],[f79,f582,f654]) ).

fof(f79,plain,
    ( ~ hskp20
    | c2_1(a358) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f652,plain,
    ( ~ spl55_8
    | spl55_67 ),
    inference(avatar_split_clause,[],[f87,f649,f391]) ).

fof(f87,plain,
    ( c2_1(a346)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f639,plain,
    ( spl55_64
    | ~ spl55_19 ),
    inference(avatar_split_clause,[],[f71,f437,f636]) ).

fof(f71,plain,
    ( ~ hskp26
    | c1_1(a333) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f629,plain,
    ( spl55_61
    | ~ spl55_62 ),
    inference(avatar_split_clause,[],[f172,f626,f622]) ).

fof(f172,plain,
    ( ~ hskp0
    | c3_1(a322) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f620,plain,
    ( ~ spl55_59
    | ~ spl55_60 ),
    inference(avatar_split_clause,[],[f34,f617,f613]) ).

fof(f34,plain,
    ( ~ c1_1(a334)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f611,plain,
    ( ~ spl55_57
    | spl55_58 ),
    inference(avatar_split_clause,[],[f125,f608,f604]) ).

fof(f125,plain,
    ( c1_1(a327)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f602,plain,
    ( ~ spl55_56
    | ~ spl55_20 ),
    inference(avatar_split_clause,[],[f157,f442,f599]) ).

fof(f157,plain,
    ( ~ hskp15
    | ~ c1_1(a348) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f589,plain,
    ( ~ spl55_52
    | ~ spl55_53 ),
    inference(avatar_split_clause,[],[f78,f586,f582]) ).

fof(f78,plain,
    ( ~ c3_1(a358)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f580,plain,
    ( ~ spl55_50
    | spl55_51
    | spl55_49
    | ~ spl55_1 ),
    inference(avatar_split_clause,[],[f354,f361,f569,f577,f573]) ).

fof(f354,plain,
    ! [X3] :
      ( ~ ndr1_0
      | ~ c0_1(X3)
      | ~ c3_1(X3)
      | hskp28
      | ~ sP1
      | c2_1(X3) ),
    inference(duplicate_literal_removal,[],[f207]) ).

fof(f207,plain,
    ! [X3] :
      ( ~ c3_1(X3)
      | c2_1(X3)
      | hskp28
      | ~ sP1
      | ~ ndr1_0
      | ~ c0_1(X3)
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f198,f206_D]) ).

fof(f198,plain,
    ! [X2,X3] :
      ( ~ ndr1_0
      | c2_1(X2)
      | c0_1(X2)
      | ~ c3_1(X2)
      | hskp28
      | c2_1(X3)
      | ~ ndr1_0
      | ~ c3_1(X3)
      | ~ c0_1(X3) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f571,plain,
    ( ~ spl55_1
    | spl55_49
    | spl55_18
    | ~ spl55_32 ),
    inference(avatar_split_clause,[],[f355,f494,f433,f569,f361]) ).

fof(f494,plain,
    ( spl55_32
  <=> sP50 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_32])]) ).

fof(f355,plain,
    ! [X115] :
      ( ~ sP50
      | hskp2
      | ~ c0_1(X115)
      | c2_1(X115)
      | ~ ndr1_0
      | ~ c3_1(X115) ),
    inference(duplicate_literal_removal,[],[f305]) ).

fof(f305,plain,
    ! [X115] :
      ( ~ c3_1(X115)
      | c2_1(X115)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c0_1(X115)
      | hskp2
      | ~ sP50 ),
    inference(general_splitting,[],[f21,f304_D]) ).

fof(f304,plain,
    ! [X116] :
      ( c1_1(X116)
      | c2_1(X116)
      | sP50
      | ~ c3_1(X116) ),
    inference(cnf_transformation,[],[f304_D]) ).

fof(f304_D,plain,
    ( ! [X116] :
        ( c1_1(X116)
        | c2_1(X116)
        | ~ c3_1(X116) )
  <=> ~ sP50 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP50])]) ).

fof(f21,plain,
    ! [X116,X115] :
      ( ~ ndr1_0
      | ~ c0_1(X115)
      | c2_1(X115)
      | ~ c3_1(X115)
      | hskp2
      | ~ ndr1_0
      | c1_1(X116)
      | c2_1(X116)
      | ~ c3_1(X116) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f567,plain,
    ( spl55_48
    | ~ spl55_36 ),
    inference(avatar_split_clause,[],[f95,f511,f564]) ).

fof(f95,plain,
    ( ~ hskp19
    | c2_1(a355) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f562,plain,
    ( ~ spl55_46
    | spl55_47 ),
    inference(avatar_split_clause,[],[f101,f559,f555]) ).

fof(f101,plain,
    ( c0_1(a419)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f548,plain,
    ( ~ spl55_2
    | spl55_44 ),
    inference(avatar_split_clause,[],[f180,f545,f365]) ).

fof(f180,plain,
    ( c3_1(a345)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f534,plain,
    ( spl55_39
    | ~ spl55_1
    | spl55_40
    | ~ spl55_41 ),
    inference(avatar_split_clause,[],[f356,f531,f528,f361,f524]) ).

fof(f356,plain,
    ! [X107] :
      ( ~ sP46
      | ~ c2_1(X107)
      | ~ ndr1_0
      | c1_1(X107)
      | ~ c3_1(X107)
      | hskp22 ),
    inference(duplicate_literal_removal,[],[f297]) ).

fof(f297,plain,
    ! [X107] :
      ( ~ sP46
      | ~ ndr1_0
      | hskp22
      | c1_1(X107)
      | ~ c3_1(X107)
      | ~ ndr1_0
      | ~ c2_1(X107) ),
    inference(general_splitting,[],[f30,f296_D]) ).

fof(f30,plain,
    ! [X106,X107] :
      ( hskp22
      | ~ ndr1_0
      | ~ c3_1(X106)
      | ~ c2_1(X106)
      | ~ c1_1(X106)
      | c1_1(X107)
      | ~ c2_1(X107)
      | ~ ndr1_0
      | ~ c3_1(X107) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f522,plain,
    ( spl55_36
    | ~ spl55_1
    | spl55_37
    | ~ spl55_38 ),
    inference(avatar_split_clause,[],[f357,f519,f516,f361,f511]) ).

fof(f357,plain,
    ! [X110] :
      ( ~ sP48
      | ~ c3_1(X110)
      | ~ c0_1(X110)
      | ~ ndr1_0
      | hskp19
      | c1_1(X110) ),
    inference(duplicate_literal_removal,[],[f301]) ).

fof(f301,plain,
    ! [X110] :
      ( ~ ndr1_0
      | ~ sP48
      | c1_1(X110)
      | hskp19
      | ~ c0_1(X110)
      | ~ ndr1_0
      | ~ c3_1(X110) ),
    inference(general_splitting,[],[f24,f300_D]) ).

fof(f24,plain,
    ! [X111,X110] :
      ( ~ c0_1(X110)
      | ~ ndr1_0
      | ~ c3_1(X110)
      | c1_1(X110)
      | hskp19
      | c1_1(X111)
      | ~ ndr1_0
      | ~ c2_1(X111)
      | c3_1(X111) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f509,plain,
    ( ~ spl55_34
    | ~ spl55_35 ),
    inference(avatar_split_clause,[],[f64,f506,f502]) ).

fof(f64,plain,
    ( ~ hskp14
    | ~ c1_1(a347) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f500,plain,
    ( spl55_32
    | spl55_33 ),
    inference(avatar_split_clause,[],[f304,f498,f494]) ).

fof(f492,plain,
    ( ~ spl55_30
    | ~ spl55_31 ),
    inference(avatar_split_clause,[],[f82,f489,f485]) ).

fof(f82,plain,
    ( ~ hskp10
    | ~ c2_1(a337) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f483,plain,
    ( ~ spl55_17
    | spl55_29 ),
    inference(avatar_split_clause,[],[f166,f480,f429]) ).

fof(f166,plain,
    ( c1_1(a401)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f461,plain,
    ( ~ spl55_23
    | spl55_24 ),
    inference(avatar_split_clause,[],[f142,f458,f454]) ).

fof(f142,plain,
    ( c3_1(a341)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f452,plain,
    ( spl55_20
    | ~ spl55_1
    | spl55_21
    | ~ spl55_22 ),
    inference(avatar_split_clause,[],[f359,f449,f446,f361,f442]) ).

fof(f359,plain,
    ! [X39] :
      ( ~ sP15
      | ~ c2_1(X39)
      | ~ ndr1_0
      | ~ c1_1(X39)
      | c0_1(X39)
      | hskp15 ),
    inference(duplicate_literal_removal,[],[f235]) ).

fof(f235,plain,
    ! [X39] :
      ( ~ sP15
      | ~ c2_1(X39)
      | ~ ndr1_0
      | c0_1(X39)
      | ~ ndr1_0
      | hskp15
      | ~ c1_1(X39) ),
    inference(general_splitting,[],[f131,f234_D]) ).

fof(f131,plain,
    ! [X40,X39] :
      ( hskp15
      | c0_1(X39)
      | ~ ndr1_0
      | ~ c2_1(X39)
      | ~ c1_1(X39)
      | c1_1(X40)
      | ~ ndr1_0
      | c2_1(X40)
      | ~ c0_1(X40) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f427,plain,
    ( spl55_15
    | spl55_16 ),
    inference(avatar_split_clause,[],[f210,f425,f421]) ).

fof(f402,plain,
    ( ~ spl55_1
    | spl55_9
    | spl55_7
    | spl55_10 ),
    inference(avatar_split_clause,[],[f141,f400,f387,f396,f361]) ).

fof(f141,plain,
    ! [X31] :
      ( ~ c0_1(X31)
      | hskp4
      | hskp16
      | c3_1(X31)
      | ~ c2_1(X31)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f376,plain,
    ( spl55_3
    | spl55_4 ),
    inference(avatar_split_clause,[],[f284,f374,f370]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN506+1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 21:46:31 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (20510)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.51  % (20498)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51  % (20498)Instruction limit reached!
% 0.20/0.51  % (20498)------------------------------
% 0.20/0.51  % (20498)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (20498)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (20498)Termination reason: Unknown
% 0.20/0.51  % (20498)Termination phase: shuffling
% 0.20/0.51  
% 0.20/0.51  % (20498)Memory used [KB]: 1279
% 0.20/0.51  % (20498)Time elapsed: 0.003 s
% 0.20/0.51  % (20498)Instructions burned: 3 (million)
% 0.20/0.51  % (20498)------------------------------
% 0.20/0.51  % (20498)------------------------------
% 0.20/0.51  % (20502)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51  % (20494)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (20491)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)
% 1.20/0.52  % (20518)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.20/0.52  % (20495)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)
% 1.20/0.52  % (20517)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)
% 1.20/0.52  % (20512)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)
% 1.20/0.53  % (20490)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)
% 1.20/0.53  % (20493)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)
% 1.20/0.53  % (20515)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.20/0.53  % (20504)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)
% 1.20/0.53  % (20499)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)
% 1.20/0.53  % (20500)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.20/0.53  % (20497)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.20/0.54  % (20496)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)
% 1.20/0.54  % (20492)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)
% 1.20/0.54  % (20497)Instruction limit reached!
% 1.20/0.54  % (20497)------------------------------
% 1.20/0.54  % (20497)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.20/0.54  % (20497)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.20/0.54  % (20497)Termination reason: Unknown
% 1.20/0.54  % (20497)Termination phase: Saturation
% 1.20/0.54  
% 1.20/0.54  % (20497)Memory used [KB]: 6140
% 1.20/0.54  % (20497)Time elapsed: 0.006 s
% 1.20/0.54  % (20497)Instructions burned: 8 (million)
% 1.20/0.54  % (20497)------------------------------
% 1.20/0.54  % (20497)------------------------------
% 1.20/0.54  % (20509)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)
% 1.20/0.54  % (20513)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)
% 1.20/0.54  % (20514)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.20/0.54  % (20511)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.20/0.55  % (20516)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)
% 1.45/0.55  % (20508)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.45/0.55  % (20506)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)
% 1.45/0.55  % (20501)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)
% 1.45/0.55  % (20505)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)
% 1.45/0.55  % (20519)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)
% 1.45/0.56  Detected maximum model sizes of [29]
% 1.45/0.56  % (20491)Refutation not found, incomplete strategy% (20491)------------------------------
% 1.45/0.56  % (20491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.56  Detected maximum model sizes of [29]
% 1.45/0.56  TRYING [1]
% 1.45/0.56  % (20503)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.45/0.56  % (20507)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.45/0.56  TRYING [2]
% 1.45/0.56  TRYING [3]
% 1.45/0.57  TRYING [4]
% 1.45/0.57  % (20491)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.57  % (20491)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.57  
% 1.45/0.57  % (20491)Memory used [KB]: 6652
% 1.45/0.57  % (20491)Time elapsed: 0.144 s
% 1.45/0.57  % (20491)Instructions burned: 36 (million)
% 1.45/0.57  % (20491)------------------------------
% 1.45/0.57  % (20491)------------------------------
% 1.45/0.57  TRYING [1]
% 1.45/0.57  TRYING [2]
% 1.45/0.57  TRYING [3]
% 1.45/0.58  TRYING [4]
% 1.45/0.59  Detected maximum model sizes of [29]
% 1.45/0.59  TRYING [1]
% 1.45/0.59  TRYING [2]
% 1.45/0.59  TRYING [3]
% 1.45/0.59  TRYING [5]
% 1.45/0.60  % (20496)Instruction limit reached!
% 1.45/0.60  % (20496)------------------------------
% 1.45/0.60  % (20496)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.60  % (20496)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.60  % (20496)Termination reason: Unknown
% 1.45/0.60  % (20496)Termination phase: Finite model building SAT solving
% 1.45/0.60  
% 1.45/0.60  % (20496)Memory used [KB]: 6524
% 1.45/0.60  % (20496)Time elapsed: 0.144 s
% 1.45/0.60  % (20496)Instructions burned: 51 (million)
% 1.45/0.60  % (20496)------------------------------
% 1.45/0.60  % (20496)------------------------------
% 1.45/0.60  % (20492)Instruction limit reached!
% 1.45/0.60  % (20492)------------------------------
% 1.45/0.60  % (20492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.60  % (20492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.60  % (20492)Termination reason: Unknown
% 1.45/0.60  % (20492)Termination phase: Saturation
% 1.45/0.60  
% 1.45/0.60  % (20492)Memory used [KB]: 1663
% 1.45/0.60  % (20492)Time elapsed: 0.183 s
% 1.45/0.60  % (20492)Instructions burned: 37 (million)
% 1.45/0.60  % (20492)------------------------------
% 1.45/0.60  % (20492)------------------------------
% 1.45/0.60  % (20500)First to succeed.
% 1.45/0.61  TRYING [5]
% 1.45/0.61  % (20495)Instruction limit reached!
% 1.45/0.61  % (20495)------------------------------
% 1.45/0.61  % (20495)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.61  % (20495)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.61  % (20495)Termination reason: Unknown
% 1.45/0.61  % (20495)Termination phase: Saturation
% 1.45/0.61  
% 1.45/0.61  % (20495)Memory used [KB]: 7164
% 1.45/0.61  % (20495)Time elapsed: 0.185 s
% 1.45/0.61  % (20495)Instructions burned: 48 (million)
% 1.45/0.61  % (20495)------------------------------
% 1.45/0.61  % (20495)------------------------------
% 1.45/0.62  TRYING [4]
% 1.45/0.62  % (20494)Instruction limit reached!
% 1.45/0.62  % (20494)------------------------------
% 1.45/0.62  % (20494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.62  % (20494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.62  % (20494)Termination reason: Unknown
% 1.45/0.62  % (20494)Termination phase: Saturation
% 1.45/0.62  
% 1.45/0.62  % (20494)Memory used [KB]: 7036
% 1.45/0.62  % (20494)Time elapsed: 0.198 s
% 1.45/0.62  % (20494)Instructions burned: 52 (million)
% 1.45/0.62  % (20494)------------------------------
% 1.45/0.62  % (20494)------------------------------
% 1.45/0.63  % (20499)Instruction limit reached!
% 1.45/0.63  % (20499)------------------------------
% 1.45/0.63  % (20499)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.63  % (20499)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.63  % (20499)Termination reason: Unknown
% 1.45/0.63  % (20499)Termination phase: Saturation
% 1.45/0.63  
% 1.45/0.63  % (20499)Memory used [KB]: 1663
% 1.45/0.63  % (20499)Time elapsed: 0.198 s
% 1.45/0.63  % (20499)Instructions burned: 51 (million)
% 1.45/0.63  % (20499)------------------------------
% 1.45/0.63  % (20499)------------------------------
% 1.45/0.64  % (20500)Refutation found. Thanks to Tanya!
% 1.45/0.64  % SZS status Theorem for theBenchmark
% 1.45/0.64  % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.64  % (20500)------------------------------
% 1.45/0.64  % (20500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.64  % (20500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.64  % (20500)Termination reason: Refutation
% 1.45/0.64  
% 1.45/0.64  % (20500)Memory used [KB]: 7419
% 1.45/0.64  % (20500)Time elapsed: 0.207 s
% 1.45/0.64  % (20500)Instructions burned: 39 (million)
% 1.45/0.64  % (20500)------------------------------
% 1.45/0.64  % (20500)------------------------------
% 1.45/0.64  % (20489)Success in time 0.274 s
%------------------------------------------------------------------------------