TSTP Solution File: SYN460+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN460+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n025.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 : Tue Apr 30 18:03:36 EDT 2024

% Result   : Theorem 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  170
% Syntax   : Number of formulae    :  931 (   1 unt;   0 def)
%            Number of atoms       : 8107 (   0 equ)
%            Maximal formula atoms :  786 (   8 avg)
%            Number of connectives : 11005 (3829   ~;4821   |;1770   &)
%                                         ( 169 <=>; 416  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  126 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  234 ( 233 usr; 230 prp; 0-1 aty)
%            Number of functors    :   59 (  59 usr;  59 con; 0-0 aty)
%            Number of variables   :  895 ( 895   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8467,plain,
    $false,
    inference(avatar_sat_refutation,[],[f351,f362,f372,f380,f388,f396,f400,f407,f417,f425,f453,f474,f485,f486,f491,f500,f507,f536,f544,f549,f554,f556,f561,f562,f571,f585,f586,f595,f596,f614,f623,f627,f632,f633,f634,f643,f687,f692,f693,f694,f713,f732,f737,f742,f747,f769,f774,f779,f817,f822,f827,f833,f838,f843,f897,f902,f907,f913,f918,f929,f934,f939,f961,f966,f977,f982,f987,f993,f998,f1003,f1009,f1019,f1025,f1030,f1035,f1100,f1116,f1121,f1126,f1131,f1137,f1142,f1147,f1153,f1158,f1163,f1169,f1174,f1179,f1249,f1254,f1259,f1265,f1270,f1275,f1345,f1350,f1355,f1361,f1366,f1371,f1377,f1382,f1387,f1393,f1398,f1403,f1409,f1414,f1419,f1441,f1446,f1451,f1473,f1478,f1483,f1489,f1494,f1499,f1505,f1510,f1515,f1526,f1542,f1547,f1596,f1601,f1606,f1611,f1617,f1622,f1627,f1654,f1659,f1721,f1894,f2083,f2100,f2255,f2289,f2294,f2298,f2536,f2654,f2655,f2697,f2738,f2754,f2877,f2905,f2963,f2964,f3141,f3144,f3183,f3196,f3205,f3254,f3310,f3391,f3500,f3547,f3591,f3612,f3679,f3683,f3777,f3783,f3789,f3800,f3804,f3934,f4038,f4221,f4505,f4731,f4817,f4850,f4935,f5006,f5009,f5090,f5140,f5202,f5299,f5315,f5343,f5345,f5346,f5372,f5447,f5481,f5668,f5670,f5846,f6128,f6226,f6330,f6342,f6509,f6651,f6657,f6673,f6792,f6930,f7000,f7017,f7065,f7095,f7118,f7121,f7124,f7212,f7338,f7364,f7438,f7656,f7666,f7762,f7794,f7802,f7972,f7977,f7984,f8043,f8108,f8227,f8231,f8269,f8274,f8283,f8372,f8434]) ).

fof(f8434,plain,
    ( spl0_15
    | ~ spl0_17
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f8433,f435,f402,f394]) ).

fof(f394,plain,
    ( spl0_15
  <=> ! [X12] :
        ( c2_1(X12)
        | ~ c0_1(X12)
        | c1_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f402,plain,
    ( spl0_17
  <=> ! [X18] :
        ( c3_1(X18)
        | c1_1(X18)
        | c2_1(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f435,plain,
    ( spl0_26
  <=> ! [X23] :
        ( c1_1(X23)
        | ~ c0_1(X23)
        | ~ c3_1(X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f8433,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_17
    | ~ spl0_26 ),
    inference(duplicate_literal_removal,[],[f8417]) ).

fof(f8417,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_17
    | ~ spl0_26 ),
    inference(resolution,[],[f436,f403]) ).

fof(f403,plain,
    ( ! [X18] :
        ( c3_1(X18)
        | c1_1(X18)
        | c2_1(X18) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f436,plain,
    ( ! [X23] :
        ( ~ c3_1(X23)
        | ~ c0_1(X23)
        | c1_1(X23) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f8372,plain,
    ( ~ spl0_5
    | ~ spl0_19
    | spl0_264
    | ~ spl0_265 ),
    inference(avatar_contradiction_clause,[],[f8371]) ).

fof(f8371,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_19
    | spl0_264
    | ~ spl0_265 ),
    inference(subsumption_resolution,[],[f8351,f1653]) ).

fof(f1653,plain,
    ( ~ c0_1(a2182)
    | spl0_264 ),
    inference(avatar_component_clause,[],[f1651]) ).

fof(f1651,plain,
    ( spl0_264
  <=> c0_1(a2182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).

fof(f8351,plain,
    ( c0_1(a2182)
    | ~ spl0_5
    | ~ spl0_19
    | ~ spl0_265 ),
    inference(resolution,[],[f8347,f1658]) ).

fof(f1658,plain,
    ( c3_1(a2182)
    | ~ spl0_265 ),
    inference(avatar_component_clause,[],[f1656]) ).

fof(f1656,plain,
    ( spl0_265
  <=> c3_1(a2182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).

fof(f8347,plain,
    ( ! [X21] :
        ( ~ c3_1(X21)
        | c0_1(X21) )
    | ~ spl0_5
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f410,f357]) ).

fof(f357,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f356,plain,
    ( spl0_5
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f410,plain,
    ( ! [X21] :
        ( ~ c3_1(X21)
        | c2_1(X21)
        | c0_1(X21) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f409,plain,
    ( spl0_19
  <=> ! [X21] :
        ( ~ c3_1(X21)
        | c2_1(X21)
        | c0_1(X21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f8283,plain,
    ( ~ spl0_311
    | ~ spl0_74
    | ~ spl0_128
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f8282,f936,f926,f649,f6997]) ).

fof(f6997,plain,
    ( spl0_311
  <=> c1_1(a2218) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).

fof(f649,plain,
    ( spl0_74
  <=> ! [X80] :
        ( ~ c2_1(X80)
        | ~ c1_1(X80)
        | ~ c0_1(X80) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f926,plain,
    ( spl0_128
  <=> c2_1(a2218) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f936,plain,
    ( spl0_130
  <=> c0_1(a2218) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f8282,plain,
    ( ~ c1_1(a2218)
    | ~ spl0_74
    | ~ spl0_128
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f8280,f938]) ).

fof(f938,plain,
    ( c0_1(a2218)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f8280,plain,
    ( ~ c1_1(a2218)
    | ~ c0_1(a2218)
    | ~ spl0_74
    | ~ spl0_128 ),
    inference(resolution,[],[f928,f650]) ).

fof(f650,plain,
    ( ! [X80] :
        ( ~ c2_1(X80)
        | ~ c1_1(X80)
        | ~ c0_1(X80) )
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f928,plain,
    ( c2_1(a2218)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f926]) ).

fof(f8274,plain,
    ( ~ spl0_42
    | ~ spl0_164
    | ~ spl0_165
    | spl0_166 ),
    inference(avatar_contradiction_clause,[],[f8273]) ).

fof(f8273,plain,
    ( $false
    | ~ spl0_42
    | ~ spl0_164
    | ~ spl0_165
    | spl0_166 ),
    inference(subsumption_resolution,[],[f8272,f1125]) ).

fof(f1125,plain,
    ( c1_1(a2189)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1123]) ).

fof(f1123,plain,
    ( spl0_165
  <=> c1_1(a2189) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f8272,plain,
    ( ~ c1_1(a2189)
    | ~ spl0_42
    | ~ spl0_164
    | spl0_166 ),
    inference(subsumption_resolution,[],[f8251,f1130]) ).

fof(f1130,plain,
    ( ~ c0_1(a2189)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f1128]) ).

fof(f1128,plain,
    ( spl0_166
  <=> c0_1(a2189) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f8251,plain,
    ( c0_1(a2189)
    | ~ c1_1(a2189)
    | ~ spl0_42
    | ~ spl0_164 ),
    inference(resolution,[],[f503,f1120]) ).

fof(f1120,plain,
    ( c3_1(a2189)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1118]) ).

fof(f1118,plain,
    ( spl0_164
  <=> c3_1(a2189) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f503,plain,
    ( ! [X38] :
        ( ~ c3_1(X38)
        | c0_1(X38)
        | ~ c1_1(X38) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f502,plain,
    ( spl0_42
  <=> ! [X38] :
        ( c0_1(X38)
        | ~ c3_1(X38)
        | ~ c1_1(X38) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f8269,plain,
    ( ~ spl0_303
    | ~ spl0_42
    | spl0_191
    | ~ spl0_193 ),
    inference(avatar_split_clause,[],[f8268,f1272,f1262,f502,f3947]) ).

fof(f3947,plain,
    ( spl0_303
  <=> c1_1(a2249) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).

fof(f1262,plain,
    ( spl0_191
  <=> c0_1(a2249) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).

fof(f1272,plain,
    ( spl0_193
  <=> c3_1(a2249) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).

fof(f8268,plain,
    ( ~ c1_1(a2249)
    | ~ spl0_42
    | spl0_191
    | ~ spl0_193 ),
    inference(subsumption_resolution,[],[f8247,f1264]) ).

fof(f1264,plain,
    ( ~ c0_1(a2249)
    | spl0_191 ),
    inference(avatar_component_clause,[],[f1262]) ).

fof(f8247,plain,
    ( c0_1(a2249)
    | ~ c1_1(a2249)
    | ~ spl0_42
    | ~ spl0_193 ),
    inference(resolution,[],[f503,f1274]) ).

fof(f1274,plain,
    ( c3_1(a2249)
    | ~ spl0_193 ),
    inference(avatar_component_clause,[],[f1272]) ).

fof(f8231,plain,
    ( spl0_270
    | ~ spl0_38
    | ~ spl0_92
    | spl0_93 ),
    inference(avatar_split_clause,[],[f8230,f739,f734,f483,f1798]) ).

fof(f1798,plain,
    ( spl0_270
  <=> c3_1(a2252) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).

fof(f483,plain,
    ( spl0_38
  <=> ! [X29] :
        ( ~ c0_1(X29)
        | c3_1(X29)
        | c1_1(X29) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f734,plain,
    ( spl0_92
  <=> c0_1(a2252) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f739,plain,
    ( spl0_93
  <=> c1_1(a2252) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f8230,plain,
    ( c3_1(a2252)
    | ~ spl0_38
    | ~ spl0_92
    | spl0_93 ),
    inference(subsumption_resolution,[],[f8220,f741]) ).

fof(f741,plain,
    ( ~ c1_1(a2252)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f739]) ).

fof(f8220,plain,
    ( c3_1(a2252)
    | c1_1(a2252)
    | ~ spl0_38
    | ~ spl0_92 ),
    inference(resolution,[],[f484,f736]) ).

fof(f736,plain,
    ( c0_1(a2252)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f734]) ).

fof(f484,plain,
    ( ! [X29] :
        ( ~ c0_1(X29)
        | c3_1(X29)
        | c1_1(X29) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f8227,plain,
    ( spl0_311
    | spl0_129
    | ~ spl0_38
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f8212,f936,f483,f931,f6997]) ).

fof(f931,plain,
    ( spl0_129
  <=> c3_1(a2218) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f8212,plain,
    ( c3_1(a2218)
    | c1_1(a2218)
    | ~ spl0_38
    | ~ spl0_130 ),
    inference(resolution,[],[f484,f938]) ).

fof(f8108,plain,
    ( spl0_298
    | ~ spl0_12
    | spl0_218
    | spl0_220 ),
    inference(avatar_split_clause,[],[f8107,f1416,f1406,f382,f3558]) ).

fof(f3558,plain,
    ( spl0_298
  <=> c0_1(a2220) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).

fof(f382,plain,
    ( spl0_12
  <=> ! [X9] :
        ( c2_1(X9)
        | c3_1(X9)
        | c0_1(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1406,plain,
    ( spl0_218
  <=> c3_1(a2220) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).

fof(f1416,plain,
    ( spl0_220
  <=> c2_1(a2220) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).

fof(f8107,plain,
    ( c0_1(a2220)
    | ~ spl0_12
    | spl0_218
    | spl0_220 ),
    inference(subsumption_resolution,[],[f8084,f1418]) ).

fof(f1418,plain,
    ( ~ c2_1(a2220)
    | spl0_220 ),
    inference(avatar_component_clause,[],[f1416]) ).

fof(f8084,plain,
    ( c2_1(a2220)
    | c0_1(a2220)
    | ~ spl0_12
    | spl0_218 ),
    inference(resolution,[],[f383,f1408]) ).

fof(f1408,plain,
    ( ~ c3_1(a2220)
    | spl0_218 ),
    inference(avatar_component_clause,[],[f1406]) ).

fof(f383,plain,
    ( ! [X9] :
        ( c3_1(X9)
        | c2_1(X9)
        | c0_1(X9) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f8043,plain,
    ( spl0_313
    | ~ spl0_8
    | spl0_147
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f8042,f1032,f1027,f367,f7019]) ).

fof(f7019,plain,
    ( spl0_313
  <=> c0_1(a2204) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).

fof(f367,plain,
    ( spl0_8
  <=> ! [X5] :
        ( c1_1(X5)
        | ~ c2_1(X5)
        | c0_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1027,plain,
    ( spl0_147
  <=> c1_1(a2204) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1032,plain,
    ( spl0_148
  <=> c2_1(a2204) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f8042,plain,
    ( c0_1(a2204)
    | ~ spl0_8
    | spl0_147
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f8041,f1029]) ).

fof(f1029,plain,
    ( ~ c1_1(a2204)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f1027]) ).

fof(f8041,plain,
    ( c1_1(a2204)
    | c0_1(a2204)
    | ~ spl0_8
    | ~ spl0_148 ),
    inference(resolution,[],[f1034,f368]) ).

fof(f368,plain,
    ( ! [X5] :
        ( ~ c2_1(X5)
        | c1_1(X5)
        | c0_1(X5) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f1034,plain,
    ( c2_1(a2204)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f1032]) ).

fof(f7984,plain,
    ( spl0_297
    | ~ spl0_17
    | spl0_236
    | spl0_238 ),
    inference(avatar_split_clause,[],[f7983,f1512,f1502,f402,f3468]) ).

fof(f3468,plain,
    ( spl0_297
  <=> c1_1(a2206) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).

fof(f1502,plain,
    ( spl0_236
  <=> c3_1(a2206) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).

fof(f1512,plain,
    ( spl0_238
  <=> c2_1(a2206) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).

fof(f7983,plain,
    ( c1_1(a2206)
    | ~ spl0_17
    | spl0_236
    | spl0_238 ),
    inference(subsumption_resolution,[],[f7373,f1514]) ).

fof(f1514,plain,
    ( ~ c2_1(a2206)
    | spl0_238 ),
    inference(avatar_component_clause,[],[f1512]) ).

fof(f7373,plain,
    ( c1_1(a2206)
    | c2_1(a2206)
    | ~ spl0_17
    | spl0_236 ),
    inference(resolution,[],[f403,f1504]) ).

fof(f1504,plain,
    ( ~ c3_1(a2206)
    | spl0_236 ),
    inference(avatar_component_clause,[],[f1502]) ).

fof(f7977,plain,
    ( ~ spl0_313
    | ~ spl0_148
    | ~ spl0_21
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f7937,f1022,f415,f1032,f7019]) ).

fof(f415,plain,
    ( spl0_21
  <=> ! [X19] :
        ( ~ c3_1(X19)
        | ~ c2_1(X19)
        | ~ c0_1(X19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f1022,plain,
    ( spl0_146
  <=> c3_1(a2204) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f7937,plain,
    ( ~ c2_1(a2204)
    | ~ c0_1(a2204)
    | ~ spl0_21
    | ~ spl0_146 ),
    inference(resolution,[],[f416,f1024]) ).

fof(f1024,plain,
    ( c3_1(a2204)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f1022]) ).

fof(f416,plain,
    ( ! [X19] :
        ( ~ c3_1(X19)
        | ~ c2_1(X19)
        | ~ c0_1(X19) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f7972,plain,
    ( ~ spl0_108
    | ~ spl0_21
    | ~ spl0_107
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f7971,f824,f814,f415,f819]) ).

fof(f819,plain,
    ( spl0_108
  <=> c2_1(a2235) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f814,plain,
    ( spl0_107
  <=> c3_1(a2235) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f824,plain,
    ( spl0_109
  <=> c0_1(a2235) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f7971,plain,
    ( ~ c2_1(a2235)
    | ~ spl0_21
    | ~ spl0_107
    | ~ spl0_109 ),
    inference(subsumption_resolution,[],[f7944,f826]) ).

fof(f826,plain,
    ( c0_1(a2235)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f824]) ).

fof(f7944,plain,
    ( ~ c2_1(a2235)
    | ~ c0_1(a2235)
    | ~ spl0_21
    | ~ spl0_107 ),
    inference(resolution,[],[f416,f816]) ).

fof(f816,plain,
    ( c3_1(a2235)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f814]) ).

fof(f7802,plain,
    ( ~ spl0_46
    | ~ spl0_74
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f7801]) ).

fof(f7801,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_74
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f7782,f960]) ).

fof(f960,plain,
    ( c1_1(a2215)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f958]) ).

fof(f958,plain,
    ( spl0_134
  <=> c1_1(a2215) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f7782,plain,
    ( ~ c1_1(a2215)
    | ~ spl0_46
    | ~ spl0_74
    | ~ spl0_135 ),
    inference(resolution,[],[f7767,f965]) ).

fof(f965,plain,
    ( c2_1(a2215)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f963]) ).

fof(f963,plain,
    ( spl0_135
  <=> c2_1(a2215) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f7767,plain,
    ( ! [X39] :
        ( ~ c2_1(X39)
        | ~ c1_1(X39) )
    | ~ spl0_46
    | ~ spl0_74 ),
    inference(subsumption_resolution,[],[f518,f650]) ).

fof(f518,plain,
    ( ! [X39] :
        ( ~ c2_1(X39)
        | ~ c1_1(X39)
        | c0_1(X39) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f517,plain,
    ( spl0_46
  <=> ! [X39] :
        ( ~ c2_1(X39)
        | ~ c1_1(X39)
        | c0_1(X39) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f7794,plain,
    ( ~ spl0_46
    | ~ spl0_74
    | ~ spl0_216
    | ~ spl0_273 ),
    inference(avatar_contradiction_clause,[],[f7793]) ).

fof(f7793,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_74
    | ~ spl0_216
    | ~ spl0_273 ),
    inference(subsumption_resolution,[],[f7773,f1893]) ).

fof(f1893,plain,
    ( c1_1(a2221)
    | ~ spl0_273 ),
    inference(avatar_component_clause,[],[f1891]) ).

fof(f1891,plain,
    ( spl0_273
  <=> c1_1(a2221) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).

fof(f7773,plain,
    ( ~ c1_1(a2221)
    | ~ spl0_46
    | ~ spl0_74
    | ~ spl0_216 ),
    inference(resolution,[],[f7767,f1397]) ).

fof(f1397,plain,
    ( c2_1(a2221)
    | ~ spl0_216 ),
    inference(avatar_component_clause,[],[f1395]) ).

fof(f1395,plain,
    ( spl0_216
  <=> c2_1(a2221) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).

fof(f7762,plain,
    ( spl0_290
    | ~ spl0_42
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f7761,f840,f835,f502,f2731]) ).

fof(f2731,plain,
    ( spl0_290
  <=> c0_1(a2234) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).

fof(f835,plain,
    ( spl0_111
  <=> c3_1(a2234) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f840,plain,
    ( spl0_112
  <=> c1_1(a2234) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f7761,plain,
    ( c0_1(a2234)
    | ~ spl0_42
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(subsumption_resolution,[],[f7750,f842]) ).

fof(f842,plain,
    ( c1_1(a2234)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f840]) ).

fof(f7750,plain,
    ( c0_1(a2234)
    | ~ c1_1(a2234)
    | ~ spl0_42
    | ~ spl0_111 ),
    inference(resolution,[],[f503,f837]) ).

fof(f837,plain,
    ( c3_1(a2234)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f835]) ).

fof(f7666,plain,
    ( spl0_303
    | ~ spl0_8
    | spl0_191
    | ~ spl0_192 ),
    inference(avatar_split_clause,[],[f7665,f1267,f1262,f367,f3947]) ).

fof(f1267,plain,
    ( spl0_192
  <=> c2_1(a2249) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).

fof(f7665,plain,
    ( c1_1(a2249)
    | ~ spl0_8
    | spl0_191
    | ~ spl0_192 ),
    inference(subsumption_resolution,[],[f7664,f1264]) ).

fof(f7664,plain,
    ( c1_1(a2249)
    | c0_1(a2249)
    | ~ spl0_8
    | ~ spl0_192 ),
    inference(resolution,[],[f1269,f368]) ).

fof(f1269,plain,
    ( c2_1(a2249)
    | ~ spl0_192 ),
    inference(avatar_component_clause,[],[f1267]) ).

fof(f7656,plain,
    ( ~ spl0_290
    | ~ spl0_74
    | ~ spl0_110
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f7638,f840,f830,f649,f2731]) ).

fof(f830,plain,
    ( spl0_110
  <=> c2_1(a2234) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f7638,plain,
    ( ~ c0_1(a2234)
    | ~ spl0_74
    | ~ spl0_110
    | ~ spl0_112 ),
    inference(subsumption_resolution,[],[f7607,f842]) ).

fof(f7607,plain,
    ( ~ c1_1(a2234)
    | ~ c0_1(a2234)
    | ~ spl0_74
    | ~ spl0_110 ),
    inference(resolution,[],[f650,f832]) ).

fof(f832,plain,
    ( c2_1(a2234)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f830]) ).

fof(f7438,plain,
    ( ~ spl0_34
    | ~ spl0_173
    | spl0_174
    | ~ spl0_175 ),
    inference(avatar_contradiction_clause,[],[f7437]) ).

fof(f7437,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_173
    | spl0_174
    | ~ spl0_175 ),
    inference(subsumption_resolution,[],[f7436,f1173]) ).

fof(f1173,plain,
    ( ~ c2_1(a2185)
    | spl0_174 ),
    inference(avatar_component_clause,[],[f1171]) ).

fof(f1171,plain,
    ( spl0_174
  <=> c2_1(a2185) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f7436,plain,
    ( c2_1(a2185)
    | ~ spl0_34
    | ~ spl0_173
    | ~ spl0_175 ),
    inference(subsumption_resolution,[],[f7407,f1178]) ).

fof(f1178,plain,
    ( c1_1(a2185)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f1176]) ).

fof(f1176,plain,
    ( spl0_175
  <=> c1_1(a2185) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f7407,plain,
    ( ~ c1_1(a2185)
    | c2_1(a2185)
    | ~ spl0_34
    | ~ spl0_173 ),
    inference(resolution,[],[f469,f1168]) ).

fof(f1168,plain,
    ( c3_1(a2185)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1166]) ).

fof(f1166,plain,
    ( spl0_173
  <=> c3_1(a2185) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f469,plain,
    ( ! [X28] :
        ( ~ c3_1(X28)
        | ~ c1_1(X28)
        | c2_1(X28) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f468,plain,
    ( spl0_34
  <=> ! [X28] :
        ( ~ c1_1(X28)
        | ~ c3_1(X28)
        | c2_1(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f7364,plain,
    ( ~ spl0_23
    | ~ spl0_83
    | ~ spl0_98
    | spl0_99 ),
    inference(avatar_contradiction_clause,[],[f7363]) ).

fof(f7363,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_83
    | ~ spl0_98
    | spl0_99 ),
    inference(subsumption_resolution,[],[f7356,f773]) ).

fof(f773,plain,
    ( ~ c3_1(a2242)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f771,plain,
    ( spl0_99
  <=> c3_1(a2242) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f7356,plain,
    ( c3_1(a2242)
    | ~ spl0_23
    | ~ spl0_83
    | ~ spl0_98 ),
    inference(resolution,[],[f7339,f768]) ).

fof(f768,plain,
    ( c2_1(a2242)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f766]) ).

fof(f766,plain,
    ( spl0_98
  <=> c2_1(a2242) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f7339,plain,
    ( ! [X90] :
        ( ~ c2_1(X90)
        | c3_1(X90) )
    | ~ spl0_23
    | ~ spl0_83 ),
    inference(subsumption_resolution,[],[f691,f424]) ).

fof(f424,plain,
    ( ! [X22] :
        ( ~ c2_1(X22)
        | ~ c1_1(X22)
        | c3_1(X22) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f423]) ).

fof(f423,plain,
    ( spl0_23
  <=> ! [X22] :
        ( ~ c1_1(X22)
        | ~ c2_1(X22)
        | c3_1(X22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f691,plain,
    ( ! [X90] :
        ( ~ c2_1(X90)
        | c3_1(X90)
        | c1_1(X90) )
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f690]) ).

fof(f690,plain,
    ( spl0_83
  <=> ! [X90] :
        ( ~ c2_1(X90)
        | c3_1(X90)
        | c1_1(X90) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f7338,plain,
    ( ~ spl0_16
    | ~ spl0_146
    | spl0_147
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f7337]) ).

fof(f7337,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_146
    | spl0_147
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f7336,f1024]) ).

fof(f7336,plain,
    ( ~ c3_1(a2204)
    | ~ spl0_16
    | spl0_147
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f7325,f1029]) ).

fof(f7325,plain,
    ( c1_1(a2204)
    | ~ c3_1(a2204)
    | ~ spl0_16
    | ~ spl0_148 ),
    inference(resolution,[],[f399,f1034]) ).

fof(f399,plain,
    ( ! [X14] :
        ( ~ c2_1(X14)
        | c1_1(X14)
        | ~ c3_1(X14) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f398,plain,
    ( spl0_16
  <=> ! [X14] :
        ( ~ c2_1(X14)
        | c1_1(X14)
        | ~ c3_1(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f7212,plain,
    ( spl0_8
    | ~ spl0_5
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f7170,f405,f356,f367]) ).

fof(f405,plain,
    ( spl0_18
  <=> ! [X17] :
        ( c3_1(X17)
        | c0_1(X17)
        | c1_1(X17) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f7170,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_5
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f7144]) ).

fof(f7144,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_5
    | ~ spl0_18 ),
    inference(resolution,[],[f357,f406]) ).

fof(f406,plain,
    ( ! [X17] :
        ( c3_1(X17)
        | c0_1(X17)
        | c1_1(X17) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f7124,plain,
    ( spl0_273
    | spl0_217
    | ~ spl0_18
    | spl0_215 ),
    inference(avatar_split_clause,[],[f6571,f1390,f405,f1400,f1891]) ).

fof(f1400,plain,
    ( spl0_217
  <=> c0_1(a2221) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).

fof(f1390,plain,
    ( spl0_215
  <=> c3_1(a2221) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).

fof(f6571,plain,
    ( c0_1(a2221)
    | c1_1(a2221)
    | ~ spl0_18
    | spl0_215 ),
    inference(resolution,[],[f406,f1392]) ).

fof(f1392,plain,
    ( ~ c3_1(a2221)
    | spl0_215 ),
    inference(avatar_component_clause,[],[f1390]) ).

fof(f7121,plain,
    ( spl0_219
    | spl0_298
    | ~ spl0_18
    | spl0_218 ),
    inference(avatar_split_clause,[],[f6570,f1406,f405,f3558,f1411]) ).

fof(f1411,plain,
    ( spl0_219
  <=> c1_1(a2220) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).

fof(f6570,plain,
    ( c0_1(a2220)
    | c1_1(a2220)
    | ~ spl0_18
    | spl0_218 ),
    inference(resolution,[],[f406,f1408]) ).

fof(f7118,plain,
    ( ~ spl0_18
    | ~ spl0_26
    | ~ spl0_38
    | ~ spl0_92
    | spl0_93 ),
    inference(avatar_contradiction_clause,[],[f7117]) ).

fof(f7117,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_26
    | ~ spl0_38
    | ~ spl0_92
    | spl0_93 ),
    inference(subsumption_resolution,[],[f7108,f736]) ).

fof(f7108,plain,
    ( ~ c0_1(a2252)
    | ~ spl0_18
    | ~ spl0_26
    | ~ spl0_38
    | spl0_93 ),
    inference(resolution,[],[f7099,f741]) ).

fof(f7099,plain,
    ( ! [X23] :
        ( c1_1(X23)
        | ~ c0_1(X23) )
    | ~ spl0_18
    | ~ spl0_26
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f436,f7025]) ).

fof(f7025,plain,
    ( ! [X29] :
        ( c3_1(X29)
        | c1_1(X29) )
    | ~ spl0_18
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f484,f406]) ).

fof(f7095,plain,
    ( spl0_311
    | ~ spl0_8
    | ~ spl0_30
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f7087,f926,f451,f367,f6997]) ).

fof(f451,plain,
    ( spl0_30
  <=> ! [X25] :
        ( ~ c2_1(X25)
        | c1_1(X25)
        | ~ c0_1(X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f7087,plain,
    ( c1_1(a2218)
    | ~ spl0_8
    | ~ spl0_30
    | ~ spl0_128 ),
    inference(resolution,[],[f7026,f928]) ).

fof(f7026,plain,
    ( ! [X25] :
        ( ~ c2_1(X25)
        | c1_1(X25) )
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(subsumption_resolution,[],[f452,f368]) ).

fof(f452,plain,
    ( ! [X25] :
        ( ~ c2_1(X25)
        | c1_1(X25)
        | ~ c0_1(X25) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f7065,plain,
    ( ~ spl0_18
    | ~ spl0_38
    | spl0_234
    | spl0_296 ),
    inference(avatar_contradiction_clause,[],[f7064]) ).

fof(f7064,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_38
    | spl0_234
    | spl0_296 ),
    inference(subsumption_resolution,[],[f7043,f1493]) ).

fof(f1493,plain,
    ( ~ c1_1(a2209)
    | spl0_234 ),
    inference(avatar_component_clause,[],[f1491]) ).

fof(f1491,plain,
    ( spl0_234
  <=> c1_1(a2209) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).

fof(f7043,plain,
    ( c1_1(a2209)
    | ~ spl0_18
    | ~ spl0_38
    | spl0_296 ),
    inference(resolution,[],[f7025,f3041]) ).

fof(f3041,plain,
    ( ~ c3_1(a2209)
    | spl0_296 ),
    inference(avatar_component_clause,[],[f3039]) ).

fof(f3039,plain,
    ( spl0_296
  <=> c3_1(a2209) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).

fof(f7017,plain,
    ( spl0_129
    | ~ spl0_9
    | ~ spl0_128
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f7016,f936,f926,f370,f931]) ).

fof(f370,plain,
    ( spl0_9
  <=> ! [X4] :
        ( ~ c2_1(X4)
        | c3_1(X4)
        | ~ c0_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f7016,plain,
    ( c3_1(a2218)
    | ~ spl0_9
    | ~ spl0_128
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f7004,f928]) ).

fof(f7004,plain,
    ( c3_1(a2218)
    | ~ c2_1(a2218)
    | ~ spl0_9
    | ~ spl0_130 ),
    inference(resolution,[],[f938,f371]) ).

fof(f371,plain,
    ( ! [X4] :
        ( ~ c0_1(X4)
        | c3_1(X4)
        | ~ c2_1(X4) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f7000,plain,
    ( spl0_129
    | ~ spl0_311
    | ~ spl0_23
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f6994,f926,f423,f6997,f931]) ).

fof(f6994,plain,
    ( ~ c1_1(a2218)
    | c3_1(a2218)
    | ~ spl0_23
    | ~ spl0_128 ),
    inference(resolution,[],[f928,f424]) ).

fof(f6930,plain,
    ( ~ spl0_275
    | ~ spl0_5
    | ~ spl0_164
    | spl0_166 ),
    inference(avatar_split_clause,[],[f6929,f1128,f1118,f356,f1927]) ).

fof(f1927,plain,
    ( spl0_275
  <=> c2_1(a2189) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).

fof(f6929,plain,
    ( ~ c2_1(a2189)
    | ~ spl0_5
    | ~ spl0_164
    | spl0_166 ),
    inference(subsumption_resolution,[],[f6928,f1130]) ).

fof(f6928,plain,
    ( c0_1(a2189)
    | ~ c2_1(a2189)
    | ~ spl0_5
    | ~ spl0_164 ),
    inference(resolution,[],[f1120,f357]) ).

fof(f6792,plain,
    ( spl0_224
    | spl0_226
    | ~ spl0_8
    | ~ spl0_225 ),
    inference(avatar_split_clause,[],[f6791,f1443,f367,f1448,f1438]) ).

fof(f1438,plain,
    ( spl0_224
  <=> c0_1(a2213) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).

fof(f1448,plain,
    ( spl0_226
  <=> c1_1(a2213) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).

fof(f1443,plain,
    ( spl0_225
  <=> c2_1(a2213) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).

fof(f6791,plain,
    ( c1_1(a2213)
    | c0_1(a2213)
    | ~ spl0_8
    | ~ spl0_225 ),
    inference(resolution,[],[f1445,f368]) ).

fof(f1445,plain,
    ( c2_1(a2213)
    | ~ spl0_225 ),
    inference(avatar_component_clause,[],[f1443]) ).

fof(f6673,plain,
    ( spl0_237
    | ~ spl0_20
    | spl0_238
    | ~ spl0_297 ),
    inference(avatar_split_clause,[],[f6672,f3468,f1512,f412,f1507]) ).

fof(f1507,plain,
    ( spl0_237
  <=> c0_1(a2206) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).

fof(f412,plain,
    ( spl0_20
  <=> ! [X20] :
        ( ~ c1_1(X20)
        | c0_1(X20)
        | c2_1(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f6672,plain,
    ( c0_1(a2206)
    | ~ spl0_20
    | spl0_238
    | ~ spl0_297 ),
    inference(subsumption_resolution,[],[f6606,f3470]) ).

fof(f3470,plain,
    ( c1_1(a2206)
    | ~ spl0_297 ),
    inference(avatar_component_clause,[],[f3468]) ).

fof(f6606,plain,
    ( c0_1(a2206)
    | ~ c1_1(a2206)
    | ~ spl0_20
    | spl0_238 ),
    inference(resolution,[],[f413,f1514]) ).

fof(f413,plain,
    ( ! [X20] :
        ( c2_1(X20)
        | c0_1(X20)
        | ~ c1_1(X20) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f6657,plain,
    ( ~ spl0_20
    | ~ spl0_165
    | spl0_166
    | spl0_275 ),
    inference(avatar_contradiction_clause,[],[f6656]) ).

fof(f6656,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_165
    | spl0_166
    | spl0_275 ),
    inference(subsumption_resolution,[],[f6655,f1125]) ).

fof(f6655,plain,
    ( ~ c1_1(a2189)
    | ~ spl0_20
    | spl0_166
    | spl0_275 ),
    inference(subsumption_resolution,[],[f6616,f1130]) ).

fof(f6616,plain,
    ( c0_1(a2189)
    | ~ c1_1(a2189)
    | ~ spl0_20
    | spl0_275 ),
    inference(resolution,[],[f413,f1929]) ).

fof(f1929,plain,
    ( ~ c2_1(a2189)
    | spl0_275 ),
    inference(avatar_component_clause,[],[f1927]) ).

fof(f6651,plain,
    ( spl0_288
    | ~ spl0_20
    | spl0_174
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f6650,f1176,f1171,f412,f2714]) ).

fof(f2714,plain,
    ( spl0_288
  <=> c0_1(a2185) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).

fof(f6650,plain,
    ( c0_1(a2185)
    | ~ spl0_20
    | spl0_174
    | ~ spl0_175 ),
    inference(subsumption_resolution,[],[f6613,f1178]) ).

fof(f6613,plain,
    ( c0_1(a2185)
    | ~ c1_1(a2185)
    | ~ spl0_20
    | spl0_174 ),
    inference(resolution,[],[f413,f1173]) ).

fof(f6509,plain,
    ( ~ spl0_12
    | spl0_236
    | spl0_237
    | spl0_238 ),
    inference(avatar_contradiction_clause,[],[f6508]) ).

fof(f6508,plain,
    ( $false
    | ~ spl0_12
    | spl0_236
    | spl0_237
    | spl0_238 ),
    inference(subsumption_resolution,[],[f6507,f1509]) ).

fof(f1509,plain,
    ( ~ c0_1(a2206)
    | spl0_237 ),
    inference(avatar_component_clause,[],[f1507]) ).

fof(f6507,plain,
    ( c0_1(a2206)
    | ~ spl0_12
    | spl0_236
    | spl0_238 ),
    inference(subsumption_resolution,[],[f6467,f1514]) ).

fof(f6467,plain,
    ( c2_1(a2206)
    | c0_1(a2206)
    | ~ spl0_12
    | spl0_236 ),
    inference(resolution,[],[f383,f1504]) ).

fof(f6342,plain,
    ( ~ spl0_2
    | ~ spl0_17
    | ~ spl0_52
    | spl0_168
    | spl0_169 ),
    inference(avatar_contradiction_clause,[],[f6341]) ).

fof(f6341,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_17
    | ~ spl0_52
    | spl0_168
    | spl0_169 ),
    inference(subsumption_resolution,[],[f6306,f1141]) ).

fof(f1141,plain,
    ( ~ c2_1(a2188)
    | spl0_168 ),
    inference(avatar_component_clause,[],[f1139]) ).

fof(f1139,plain,
    ( spl0_168
  <=> c2_1(a2188) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f6306,plain,
    ( c2_1(a2188)
    | ~ spl0_2
    | ~ spl0_17
    | ~ spl0_52
    | spl0_169 ),
    inference(resolution,[],[f6280,f1146]) ).

fof(f1146,plain,
    ( ~ c3_1(a2188)
    | spl0_169 ),
    inference(avatar_component_clause,[],[f1144]) ).

fof(f1144,plain,
    ( spl0_169
  <=> c3_1(a2188) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f6280,plain,
    ( ! [X44] :
        ( c3_1(X44)
        | c2_1(X44) )
    | ~ spl0_2
    | ~ spl0_17
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f543,f5676]) ).

fof(f5676,plain,
    ( ! [X18] :
        ( c2_1(X18)
        | c1_1(X18) )
    | ~ spl0_2
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f403,f346]) ).

fof(f346,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f345,plain,
    ( spl0_2
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f543,plain,
    ( ! [X44] :
        ( c2_1(X44)
        | ~ c1_1(X44)
        | c3_1(X44) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f542,plain,
    ( spl0_52
  <=> ! [X44] :
        ( c2_1(X44)
        | ~ c1_1(X44)
        | c3_1(X44) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f6330,plain,
    ( ~ spl0_2
    | ~ spl0_17
    | ~ spl0_52
    | spl0_236
    | spl0_238 ),
    inference(avatar_contradiction_clause,[],[f6329]) ).

fof(f6329,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_17
    | ~ spl0_52
    | spl0_236
    | spl0_238 ),
    inference(subsumption_resolution,[],[f6290,f1514]) ).

fof(f6290,plain,
    ( c2_1(a2206)
    | ~ spl0_2
    | ~ spl0_17
    | ~ spl0_52
    | spl0_236 ),
    inference(resolution,[],[f6280,f1504]) ).

fof(f6226,plain,
    ( spl0_288
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_42
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f6220,f1166,f502,f398,f345,f2714]) ).

fof(f6220,plain,
    ( c0_1(a2185)
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_42
    | ~ spl0_173 ),
    inference(resolution,[],[f6212,f1168]) ).

fof(f6212,plain,
    ( ! [X38] :
        ( ~ c3_1(X38)
        | c0_1(X38) )
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_42 ),
    inference(subsumption_resolution,[],[f503,f5594]) ).

fof(f5594,plain,
    ( ! [X14] :
        ( ~ c3_1(X14)
        | c1_1(X14) )
    | ~ spl0_2
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f399,f346]) ).

fof(f6128,plain,
    ( ~ spl0_28
    | spl0_215
    | spl0_217
    | ~ spl0_273 ),
    inference(avatar_contradiction_clause,[],[f6127]) ).

fof(f6127,plain,
    ( $false
    | ~ spl0_28
    | spl0_215
    | spl0_217
    | ~ spl0_273 ),
    inference(subsumption_resolution,[],[f6126,f1402]) ).

fof(f1402,plain,
    ( ~ c0_1(a2221)
    | spl0_217 ),
    inference(avatar_component_clause,[],[f1400]) ).

fof(f6126,plain,
    ( c0_1(a2221)
    | ~ spl0_28
    | spl0_215
    | ~ spl0_273 ),
    inference(subsumption_resolution,[],[f6075,f1893]) ).

fof(f6075,plain,
    ( ~ c1_1(a2221)
    | c0_1(a2221)
    | ~ spl0_28
    | spl0_215 ),
    inference(resolution,[],[f444,f1392]) ).

fof(f444,plain,
    ( ! [X24] :
        ( c3_1(X24)
        | ~ c1_1(X24)
        | c0_1(X24) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f443,plain,
    ( spl0_28
  <=> ! [X24] :
        ( c3_1(X24)
        | ~ c1_1(X24)
        | c0_1(X24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f5846,plain,
    ( ~ spl0_2
    | ~ spl0_16
    | ~ spl0_37
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(avatar_contradiction_clause,[],[f5845]) ).

fof(f5845,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_37
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(subsumption_resolution,[],[f5830,f821]) ).

fof(f821,plain,
    ( c2_1(a2235)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f819]) ).

fof(f5830,plain,
    ( ~ c2_1(a2235)
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_37
    | ~ spl0_107 ),
    inference(resolution,[],[f5698,f816]) ).

fof(f5698,plain,
    ( ! [X30] :
        ( ~ c3_1(X30)
        | ~ c2_1(X30) )
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_37 ),
    inference(subsumption_resolution,[],[f481,f5594]) ).

fof(f481,plain,
    ( ! [X30] :
        ( ~ c2_1(X30)
        | ~ c1_1(X30)
        | ~ c3_1(X30) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f480,plain,
    ( spl0_37
  <=> ! [X30] :
        ( ~ c2_1(X30)
        | ~ c1_1(X30)
        | ~ c3_1(X30) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f5670,plain,
    ( spl0_230
    | ~ spl0_9
    | ~ spl0_232
    | ~ spl0_299 ),
    inference(avatar_split_clause,[],[f5669,f3564,f1480,f370,f1470]) ).

fof(f1470,plain,
    ( spl0_230
  <=> c3_1(a2211) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).

fof(f1480,plain,
    ( spl0_232
  <=> c2_1(a2211) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).

fof(f3564,plain,
    ( spl0_299
  <=> c0_1(a2211) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).

fof(f5669,plain,
    ( c3_1(a2211)
    | ~ spl0_9
    | ~ spl0_232
    | ~ spl0_299 ),
    inference(subsumption_resolution,[],[f5633,f1482]) ).

fof(f1482,plain,
    ( c2_1(a2211)
    | ~ spl0_232 ),
    inference(avatar_component_clause,[],[f1480]) ).

fof(f5633,plain,
    ( c3_1(a2211)
    | ~ c2_1(a2211)
    | ~ spl0_9
    | ~ spl0_299 ),
    inference(resolution,[],[f371,f3566]) ).

fof(f3566,plain,
    ( c0_1(a2211)
    | ~ spl0_299 ),
    inference(avatar_component_clause,[],[f3564]) ).

fof(f5668,plain,
    ( spl0_190
    | ~ spl0_9
    | ~ spl0_188
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f5667,f1251,f1246,f370,f1256]) ).

fof(f1256,plain,
    ( spl0_190
  <=> c3_1(a2178) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).

fof(f1246,plain,
    ( spl0_188
  <=> c2_1(a2178) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).

fof(f1251,plain,
    ( spl0_189
  <=> c0_1(a2178) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).

fof(f5667,plain,
    ( c3_1(a2178)
    | ~ spl0_9
    | ~ spl0_188
    | ~ spl0_189 ),
    inference(subsumption_resolution,[],[f5635,f1248]) ).

fof(f1248,plain,
    ( c2_1(a2178)
    | ~ spl0_188 ),
    inference(avatar_component_clause,[],[f1246]) ).

fof(f5635,plain,
    ( c3_1(a2178)
    | ~ c2_1(a2178)
    | ~ spl0_9
    | ~ spl0_189 ),
    inference(resolution,[],[f371,f1253]) ).

fof(f1253,plain,
    ( c0_1(a2178)
    | ~ spl0_189 ),
    inference(avatar_component_clause,[],[f1251]) ).

fof(f5481,plain,
    ( ~ spl0_4
    | ~ spl0_21
    | ~ spl0_42
    | ~ spl0_173
    | ~ spl0_175 ),
    inference(avatar_contradiction_clause,[],[f5480]) ).

fof(f5480,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_21
    | ~ spl0_42
    | ~ spl0_173
    | ~ spl0_175 ),
    inference(subsumption_resolution,[],[f5462,f1178]) ).

fof(f5462,plain,
    ( ~ c1_1(a2185)
    | ~ spl0_4
    | ~ spl0_21
    | ~ spl0_42
    | ~ spl0_173 ),
    inference(resolution,[],[f5427,f1168]) ).

fof(f5427,plain,
    ( ! [X38] :
        ( ~ c3_1(X38)
        | ~ c1_1(X38) )
    | ~ spl0_4
    | ~ spl0_21
    | ~ spl0_42 ),
    inference(subsumption_resolution,[],[f503,f5205]) ).

fof(f5205,plain,
    ( ! [X19] :
        ( ~ c3_1(X19)
        | ~ c0_1(X19) )
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f416,f354]) ).

fof(f354,plain,
    ( ! [X3] :
        ( ~ c0_1(X3)
        | c2_1(X3)
        | ~ c3_1(X3) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f353,plain,
    ( spl0_4
  <=> ! [X3] :
        ( ~ c0_1(X3)
        | c2_1(X3)
        | ~ c3_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f5447,plain,
    ( spl0_297
    | ~ spl0_2
    | ~ spl0_17
    | spl0_238 ),
    inference(avatar_split_clause,[],[f5432,f1512,f402,f345,f3468]) ).

fof(f5432,plain,
    ( c1_1(a2206)
    | ~ spl0_2
    | ~ spl0_17
    | spl0_238 ),
    inference(resolution,[],[f5349,f1514]) ).

fof(f5349,plain,
    ( ! [X18] :
        ( c2_1(X18)
        | c1_1(X18) )
    | ~ spl0_2
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f403,f346]) ).

fof(f5372,plain,
    ( ~ spl0_4
    | ~ spl0_19
    | ~ spl0_173
    | spl0_174 ),
    inference(avatar_contradiction_clause,[],[f5371]) ).

fof(f5371,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_19
    | ~ spl0_173
    | spl0_174 ),
    inference(subsumption_resolution,[],[f5357,f1173]) ).

fof(f5357,plain,
    ( c2_1(a2185)
    | ~ spl0_4
    | ~ spl0_19
    | ~ spl0_173 ),
    inference(resolution,[],[f5322,f1168]) ).

fof(f5322,plain,
    ( ! [X21] :
        ( ~ c3_1(X21)
        | c2_1(X21) )
    | ~ spl0_4
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f410,f354]) ).

fof(f5346,plain,
    ( ~ spl0_4
    | ~ spl0_21
    | ~ spl0_38
    | ~ spl0_43
    | ~ spl0_240 ),
    inference(avatar_contradiction_clause,[],[f5329]) ).

fof(f5329,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_21
    | ~ spl0_38
    | ~ spl0_43
    | ~ spl0_240 ),
    inference(resolution,[],[f5321,f1525]) ).

fof(f1525,plain,
    ( c0_1(a2203)
    | ~ spl0_240 ),
    inference(avatar_component_clause,[],[f1523]) ).

fof(f1523,plain,
    ( spl0_240
  <=> c0_1(a2203) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).

fof(f5321,plain,
    ( ! [X36] : ~ c0_1(X36)
    | ~ spl0_4
    | ~ spl0_21
    | ~ spl0_38
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f5320,f5205]) ).

fof(f5320,plain,
    ( ! [X36] :
        ( ~ c0_1(X36)
        | c3_1(X36) )
    | ~ spl0_4
    | ~ spl0_21
    | ~ spl0_38
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f506,f5300]) ).

fof(f5300,plain,
    ( ! [X29] :
        ( c1_1(X29)
        | ~ c0_1(X29) )
    | ~ spl0_4
    | ~ spl0_21
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f484,f5205]) ).

fof(f506,plain,
    ( ! [X36] :
        ( ~ c0_1(X36)
        | ~ c1_1(X36)
        | c3_1(X36) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f505,plain,
    ( spl0_43
  <=> ! [X36] :
        ( ~ c0_1(X36)
        | ~ c1_1(X36)
        | c3_1(X36) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f5345,plain,
    ( ~ spl0_4
    | ~ spl0_21
    | ~ spl0_38
    | ~ spl0_43
    | ~ spl0_189 ),
    inference(avatar_contradiction_clause,[],[f5330]) ).

fof(f5330,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_21
    | ~ spl0_38
    | ~ spl0_43
    | ~ spl0_189 ),
    inference(resolution,[],[f5321,f1253]) ).

fof(f5343,plain,
    ( ~ spl0_4
    | ~ spl0_21
    | ~ spl0_38
    | ~ spl0_43
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f5332]) ).

fof(f5332,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_21
    | ~ spl0_38
    | ~ spl0_43
    | ~ spl0_140 ),
    inference(resolution,[],[f5321,f992]) ).

fof(f992,plain,
    ( c0_1(a2207)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f990]) ).

fof(f990,plain,
    ( spl0_140
  <=> c0_1(a2207) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f5315,plain,
    ( ~ spl0_4
    | ~ spl0_21
    | ~ spl0_38
    | ~ spl0_125
    | spl0_126 ),
    inference(avatar_contradiction_clause,[],[f5314]) ).

fof(f5314,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_21
    | ~ spl0_38
    | ~ spl0_125
    | spl0_126 ),
    inference(subsumption_resolution,[],[f5308,f912]) ).

fof(f912,plain,
    ( c0_1(a2226)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f910]) ).

fof(f910,plain,
    ( spl0_125
  <=> c0_1(a2226) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f5308,plain,
    ( ~ c0_1(a2226)
    | ~ spl0_4
    | ~ spl0_21
    | ~ spl0_38
    | spl0_126 ),
    inference(resolution,[],[f5300,f917]) ).

fof(f917,plain,
    ( ~ c1_1(a2226)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f915]) ).

fof(f915,plain,
    ( spl0_126
  <=> c1_1(a2226) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f5299,plain,
    ( ~ spl0_18
    | ~ spl0_38
    | spl0_99
    | spl0_100 ),
    inference(avatar_contradiction_clause,[],[f5298]) ).

fof(f5298,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_38
    | spl0_99
    | spl0_100 ),
    inference(subsumption_resolution,[],[f5281,f778]) ).

fof(f778,plain,
    ( ~ c1_1(a2242)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f776,plain,
    ( spl0_100
  <=> c1_1(a2242) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f5281,plain,
    ( c1_1(a2242)
    | ~ spl0_18
    | ~ spl0_38
    | spl0_99 ),
    inference(resolution,[],[f5239,f773]) ).

fof(f5239,plain,
    ( ! [X29] :
        ( c3_1(X29)
        | c1_1(X29) )
    | ~ spl0_18
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f484,f406]) ).

fof(f5202,plain,
    ( spl0_210
    | ~ spl0_18
    | spl0_209
    | spl0_211 ),
    inference(avatar_split_clause,[],[f5192,f1368,f1358,f405,f1363]) ).

fof(f1363,plain,
    ( spl0_210
  <=> c1_1(a2233) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).

fof(f1358,plain,
    ( spl0_209
  <=> c3_1(a2233) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).

fof(f1368,plain,
    ( spl0_211
  <=> c0_1(a2233) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).

fof(f5192,plain,
    ( c1_1(a2233)
    | ~ spl0_18
    | spl0_209
    | spl0_211 ),
    inference(subsumption_resolution,[],[f5165,f1370]) ).

fof(f1370,plain,
    ( ~ c0_1(a2233)
    | spl0_211 ),
    inference(avatar_component_clause,[],[f1368]) ).

fof(f5165,plain,
    ( c0_1(a2233)
    | c1_1(a2233)
    | ~ spl0_18
    | spl0_209 ),
    inference(resolution,[],[f406,f1360]) ).

fof(f1360,plain,
    ( ~ c3_1(a2233)
    | spl0_209 ),
    inference(avatar_component_clause,[],[f1358]) ).

fof(f5140,plain,
    ( spl0_299
    | ~ spl0_8
    | spl0_231
    | ~ spl0_232 ),
    inference(avatar_split_clause,[],[f5139,f1480,f1475,f367,f3564]) ).

fof(f1475,plain,
    ( spl0_231
  <=> c1_1(a2211) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).

fof(f5139,plain,
    ( c0_1(a2211)
    | ~ spl0_8
    | spl0_231
    | ~ spl0_232 ),
    inference(subsumption_resolution,[],[f5118,f1477]) ).

fof(f1477,plain,
    ( ~ c1_1(a2211)
    | spl0_231 ),
    inference(avatar_component_clause,[],[f1475]) ).

fof(f5118,plain,
    ( c1_1(a2211)
    | c0_1(a2211)
    | ~ spl0_8
    | ~ spl0_232 ),
    inference(resolution,[],[f368,f1482]) ).

fof(f5090,plain,
    ( ~ spl0_4
    | ~ spl0_173
    | spl0_174
    | ~ spl0_288 ),
    inference(avatar_contradiction_clause,[],[f5089]) ).

fof(f5089,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_173
    | spl0_174
    | ~ spl0_288 ),
    inference(subsumption_resolution,[],[f5088,f1168]) ).

fof(f5088,plain,
    ( ~ c3_1(a2185)
    | ~ spl0_4
    | spl0_174
    | ~ spl0_288 ),
    inference(subsumption_resolution,[],[f5077,f1173]) ).

fof(f5077,plain,
    ( c2_1(a2185)
    | ~ c3_1(a2185)
    | ~ spl0_4
    | ~ spl0_288 ),
    inference(resolution,[],[f354,f2716]) ).

fof(f2716,plain,
    ( c0_1(a2185)
    | ~ spl0_288 ),
    inference(avatar_component_clause,[],[f2714]) ).

fof(f5009,plain,
    ( ~ spl0_4
    | spl0_212
    | ~ spl0_213
    | ~ spl0_214 ),
    inference(avatar_contradiction_clause,[],[f5008]) ).

fof(f5008,plain,
    ( $false
    | ~ spl0_4
    | spl0_212
    | ~ spl0_213
    | ~ spl0_214 ),
    inference(subsumption_resolution,[],[f5007,f1381]) ).

fof(f1381,plain,
    ( c3_1(a2222)
    | ~ spl0_213 ),
    inference(avatar_component_clause,[],[f1379]) ).

fof(f1379,plain,
    ( spl0_213
  <=> c3_1(a2222) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).

fof(f5007,plain,
    ( ~ c3_1(a2222)
    | ~ spl0_4
    | spl0_212
    | ~ spl0_214 ),
    inference(subsumption_resolution,[],[f4977,f1376]) ).

fof(f1376,plain,
    ( ~ c2_1(a2222)
    | spl0_212 ),
    inference(avatar_component_clause,[],[f1374]) ).

fof(f1374,plain,
    ( spl0_212
  <=> c2_1(a2222) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).

fof(f4977,plain,
    ( c2_1(a2222)
    | ~ c3_1(a2222)
    | ~ spl0_4
    | ~ spl0_214 ),
    inference(resolution,[],[f354,f1386]) ).

fof(f1386,plain,
    ( c0_1(a2222)
    | ~ spl0_214 ),
    inference(avatar_component_clause,[],[f1384]) ).

fof(f1384,plain,
    ( spl0_214
  <=> c0_1(a2222) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).

fof(f5006,plain,
    ( ~ spl0_296
    | ~ spl0_4
    | spl0_233
    | ~ spl0_235 ),
    inference(avatar_split_clause,[],[f5005,f1496,f1486,f353,f3039]) ).

fof(f1486,plain,
    ( spl0_233
  <=> c2_1(a2209) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).

fof(f1496,plain,
    ( spl0_235
  <=> c0_1(a2209) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).

fof(f5005,plain,
    ( ~ c3_1(a2209)
    | ~ spl0_4
    | spl0_233
    | ~ spl0_235 ),
    inference(subsumption_resolution,[],[f4976,f1488]) ).

fof(f1488,plain,
    ( ~ c2_1(a2209)
    | spl0_233 ),
    inference(avatar_component_clause,[],[f1486]) ).

fof(f4976,plain,
    ( c2_1(a2209)
    | ~ c3_1(a2209)
    | ~ spl0_4
    | ~ spl0_235 ),
    inference(resolution,[],[f354,f1498]) ).

fof(f1498,plain,
    ( c0_1(a2209)
    | ~ spl0_235 ),
    inference(avatar_component_clause,[],[f1496]) ).

fof(f4935,plain,
    ( ~ spl0_2
    | ~ spl0_16
    | ~ spl0_38
    | ~ spl0_69
    | spl0_212
    | ~ spl0_214 ),
    inference(avatar_contradiction_clause,[],[f4934]) ).

fof(f4934,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_38
    | ~ spl0_69
    | spl0_212
    | ~ spl0_214 ),
    inference(subsumption_resolution,[],[f4905,f1386]) ).

fof(f4905,plain,
    ( ~ c0_1(a2222)
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_38
    | ~ spl0_69
    | spl0_212 ),
    inference(resolution,[],[f4864,f1376]) ).

fof(f4864,plain,
    ( ! [X71] :
        ( c2_1(X71)
        | ~ c0_1(X71) )
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_38
    | ~ spl0_69 ),
    inference(subsumption_resolution,[],[f626,f4662]) ).

fof(f4662,plain,
    ( ! [X29] :
        ( c1_1(X29)
        | ~ c0_1(X29) )
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f484,f3736]) ).

fof(f3736,plain,
    ( ! [X14] :
        ( ~ c3_1(X14)
        | c1_1(X14) )
    | ~ spl0_2
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f399,f346]) ).

fof(f626,plain,
    ( ! [X71] :
        ( c2_1(X71)
        | ~ c0_1(X71)
        | ~ c1_1(X71) )
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f625,plain,
    ( spl0_69
  <=> ! [X71] :
        ( c2_1(X71)
        | ~ c0_1(X71)
        | ~ c1_1(X71) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f4850,plain,
    ( ~ spl0_2
    | ~ spl0_34
    | spl0_212
    | ~ spl0_213 ),
    inference(avatar_contradiction_clause,[],[f4849]) ).

fof(f4849,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_34
    | spl0_212
    | ~ spl0_213 ),
    inference(subsumption_resolution,[],[f4835,f1376]) ).

fof(f4835,plain,
    ( c2_1(a2222)
    | ~ spl0_2
    | ~ spl0_34
    | ~ spl0_213 ),
    inference(resolution,[],[f4826,f1381]) ).

fof(f4826,plain,
    ( ! [X28] :
        ( ~ c3_1(X28)
        | c2_1(X28) )
    | ~ spl0_2
    | ~ spl0_34 ),
    inference(subsumption_resolution,[],[f469,f346]) ).

fof(f4817,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_17
    | ~ spl0_20
    | ~ spl0_173
    | spl0_174 ),
    inference(avatar_contradiction_clause,[],[f4816]) ).

fof(f4816,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_17
    | ~ spl0_20
    | ~ spl0_173
    | spl0_174 ),
    inference(subsumption_resolution,[],[f4797,f1173]) ).

fof(f4797,plain,
    ( c2_1(a2185)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_17
    | ~ spl0_20
    | ~ spl0_173 ),
    inference(resolution,[],[f4663,f1168]) ).

fof(f4663,plain,
    ( ! [X3] :
        ( ~ c3_1(X3)
        | c2_1(X3) )
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_17
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f354,f4529]) ).

fof(f4529,plain,
    ( ! [X20] :
        ( c2_1(X20)
        | c0_1(X20) )
    | ~ spl0_2
    | ~ spl0_17
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f413,f4119]) ).

fof(f4119,plain,
    ( ! [X18] :
        ( c2_1(X18)
        | c1_1(X18) )
    | ~ spl0_2
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f403,f346]) ).

fof(f4731,plain,
    ( ~ spl0_125
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_38
    | spl0_126 ),
    inference(avatar_split_clause,[],[f4704,f915,f483,f398,f345,f910]) ).

fof(f4704,plain,
    ( ~ c0_1(a2226)
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_38
    | spl0_126 ),
    inference(resolution,[],[f4662,f917]) ).

fof(f4505,plain,
    ( ~ spl0_2
    | ~ spl0_17
    | ~ spl0_69
    | spl0_212
    | ~ spl0_214 ),
    inference(avatar_contradiction_clause,[],[f4504]) ).

fof(f4504,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_17
    | ~ spl0_69
    | spl0_212
    | ~ spl0_214 ),
    inference(subsumption_resolution,[],[f4479,f1376]) ).

fof(f4479,plain,
    ( c2_1(a2222)
    | ~ spl0_2
    | ~ spl0_17
    | ~ spl0_69
    | ~ spl0_214 ),
    inference(resolution,[],[f4468,f1386]) ).

fof(f4468,plain,
    ( ! [X71] :
        ( ~ c0_1(X71)
        | c2_1(X71) )
    | ~ spl0_2
    | ~ spl0_17
    | ~ spl0_69 ),
    inference(subsumption_resolution,[],[f626,f4119]) ).

fof(f4221,plain,
    ( ~ spl0_2
    | ~ spl0_17
    | spl0_243
    | spl0_244 ),
    inference(avatar_contradiction_clause,[],[f4220]) ).

fof(f4220,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_17
    | spl0_243
    | spl0_244 ),
    inference(subsumption_resolution,[],[f4197,f1541]) ).

fof(f1541,plain,
    ( ~ c1_1(a2202)
    | spl0_243 ),
    inference(avatar_component_clause,[],[f1539]) ).

fof(f1539,plain,
    ( spl0_243
  <=> c1_1(a2202) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).

fof(f4197,plain,
    ( c1_1(a2202)
    | ~ spl0_2
    | ~ spl0_17
    | spl0_244 ),
    inference(resolution,[],[f4119,f1546]) ).

fof(f1546,plain,
    ( ~ c2_1(a2202)
    | spl0_244 ),
    inference(avatar_component_clause,[],[f1544]) ).

fof(f1544,plain,
    ( spl0_244
  <=> c2_1(a2202) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).

fof(f4038,plain,
    ( ~ spl0_208
    | ~ spl0_23
    | spl0_206
    | ~ spl0_286 ),
    inference(avatar_split_clause,[],[f4037,f2584,f1342,f423,f1352]) ).

fof(f1352,plain,
    ( spl0_208
  <=> c1_1(a2237) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).

fof(f1342,plain,
    ( spl0_206
  <=> c3_1(a2237) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).

fof(f2584,plain,
    ( spl0_286
  <=> c2_1(a2237) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).

fof(f4037,plain,
    ( ~ c1_1(a2237)
    | ~ spl0_23
    | spl0_206
    | ~ spl0_286 ),
    inference(subsumption_resolution,[],[f4020,f1344]) ).

fof(f1344,plain,
    ( ~ c3_1(a2237)
    | spl0_206 ),
    inference(avatar_component_clause,[],[f1342]) ).

fof(f4020,plain,
    ( ~ c1_1(a2237)
    | c3_1(a2237)
    | ~ spl0_23
    | ~ spl0_286 ),
    inference(resolution,[],[f2586,f424]) ).

fof(f2586,plain,
    ( c2_1(a2237)
    | ~ spl0_286 ),
    inference(avatar_component_clause,[],[f2584]) ).

fof(f3934,plain,
    ( ~ spl0_5
    | ~ spl0_122
    | ~ spl0_123
    | spl0_124 ),
    inference(avatar_contradiction_clause,[],[f3933]) ).

fof(f3933,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_122
    | ~ spl0_123
    | spl0_124 ),
    inference(subsumption_resolution,[],[f3932,f896]) ).

fof(f896,plain,
    ( c2_1(a2228)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f894,plain,
    ( spl0_122
  <=> c2_1(a2228) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f3932,plain,
    ( ~ c2_1(a2228)
    | ~ spl0_5
    | ~ spl0_123
    | spl0_124 ),
    inference(subsumption_resolution,[],[f3902,f906]) ).

fof(f906,plain,
    ( ~ c0_1(a2228)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f904,plain,
    ( spl0_124
  <=> c0_1(a2228) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f3902,plain,
    ( c0_1(a2228)
    | ~ c2_1(a2228)
    | ~ spl0_5
    | ~ spl0_123 ),
    inference(resolution,[],[f357,f901]) ).

fof(f901,plain,
    ( c3_1(a2228)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f899]) ).

fof(f899,plain,
    ( spl0_123
  <=> c3_1(a2228) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f3804,plain,
    ( spl0_286
    | ~ spl0_207
    | ~ spl0_7
    | spl0_206 ),
    inference(avatar_split_clause,[],[f3803,f1342,f364,f1347,f2584]) ).

fof(f1347,plain,
    ( spl0_207
  <=> c0_1(a2237) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).

fof(f364,plain,
    ( spl0_7
  <=> ! [X6] :
        ( ~ c0_1(X6)
        | c3_1(X6)
        | c2_1(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f3803,plain,
    ( ~ c0_1(a2237)
    | c2_1(a2237)
    | ~ spl0_7
    | spl0_206 ),
    inference(resolution,[],[f1344,f365]) ).

fof(f365,plain,
    ( ! [X6] :
        ( c3_1(X6)
        | ~ c0_1(X6)
        | c2_1(X6) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f3800,plain,
    ( spl0_219
    | ~ spl0_298
    | ~ spl0_15
    | spl0_220 ),
    inference(avatar_split_clause,[],[f3694,f1416,f394,f3558,f1411]) ).

fof(f3694,plain,
    ( ~ c0_1(a2220)
    | c1_1(a2220)
    | ~ spl0_15
    | spl0_220 ),
    inference(resolution,[],[f1418,f395]) ).

fof(f395,plain,
    ( ! [X12] :
        ( c2_1(X12)
        | ~ c0_1(X12)
        | c1_1(X12) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f3789,plain,
    ( ~ spl0_23
    | ~ spl0_37
    | ~ spl0_108
    | ~ spl0_281 ),
    inference(avatar_contradiction_clause,[],[f3788]) ).

fof(f3788,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_37
    | ~ spl0_108
    | ~ spl0_281 ),
    inference(subsumption_resolution,[],[f3759,f821]) ).

fof(f3759,plain,
    ( ~ c2_1(a2235)
    | ~ spl0_23
    | ~ spl0_37
    | ~ spl0_281 ),
    inference(resolution,[],[f3735,f2225]) ).

fof(f2225,plain,
    ( c1_1(a2235)
    | ~ spl0_281 ),
    inference(avatar_component_clause,[],[f2223]) ).

fof(f2223,plain,
    ( spl0_281
  <=> c1_1(a2235) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).

fof(f3735,plain,
    ( ! [X30] :
        ( ~ c1_1(X30)
        | ~ c2_1(X30) )
    | ~ spl0_23
    | ~ spl0_37 ),
    inference(subsumption_resolution,[],[f481,f424]) ).

fof(f3783,plain,
    ( ~ spl0_23
    | ~ spl0_37
    | ~ spl0_143
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f3782]) ).

fof(f3782,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_37
    | ~ spl0_143
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f3755,f1018]) ).

fof(f1018,plain,
    ( c2_1(a2205)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f1016]) ).

fof(f1016,plain,
    ( spl0_145
  <=> c2_1(a2205) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f3755,plain,
    ( ~ c2_1(a2205)
    | ~ spl0_23
    | ~ spl0_37
    | ~ spl0_143 ),
    inference(resolution,[],[f3735,f1008]) ).

fof(f1008,plain,
    ( c1_1(a2205)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f1006]) ).

fof(f1006,plain,
    ( spl0_143
  <=> c1_1(a2205) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f3777,plain,
    ( ~ spl0_23
    | ~ spl0_37
    | ~ spl0_165
    | ~ spl0_275 ),
    inference(avatar_contradiction_clause,[],[f3776]) ).

fof(f3776,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_37
    | ~ spl0_165
    | ~ spl0_275 ),
    inference(subsumption_resolution,[],[f3752,f1928]) ).

fof(f1928,plain,
    ( c2_1(a2189)
    | ~ spl0_275 ),
    inference(avatar_component_clause,[],[f1927]) ).

fof(f3752,plain,
    ( ~ c2_1(a2189)
    | ~ spl0_23
    | ~ spl0_37
    | ~ spl0_165 ),
    inference(resolution,[],[f3735,f1125]) ).

fof(f3683,plain,
    ( spl0_171
    | ~ spl0_170
    | ~ spl0_7
    | spl0_172 ),
    inference(avatar_split_clause,[],[f3572,f1160,f364,f1150,f1155]) ).

fof(f1155,plain,
    ( spl0_171
  <=> c2_1(a2186) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f1150,plain,
    ( spl0_170
  <=> c0_1(a2186) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f1160,plain,
    ( spl0_172
  <=> c3_1(a2186) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f3572,plain,
    ( ~ c0_1(a2186)
    | c2_1(a2186)
    | ~ spl0_7
    | spl0_172 ),
    inference(resolution,[],[f365,f1162]) ).

fof(f1162,plain,
    ( ~ c3_1(a2186)
    | spl0_172 ),
    inference(avatar_component_clause,[],[f1160]) ).

fof(f3679,plain,
    ( ~ spl0_216
    | ~ spl0_10
    | spl0_215
    | spl0_217 ),
    inference(avatar_split_clause,[],[f3678,f1400,f1390,f374,f1395]) ).

fof(f374,plain,
    ( spl0_10
  <=> ! [X8] :
        ( ~ c2_1(X8)
        | c3_1(X8)
        | c0_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f3678,plain,
    ( ~ c2_1(a2221)
    | ~ spl0_10
    | spl0_215
    | spl0_217 ),
    inference(subsumption_resolution,[],[f3667,f1402]) ).

fof(f3667,plain,
    ( ~ c2_1(a2221)
    | c0_1(a2221)
    | ~ spl0_10
    | spl0_215 ),
    inference(resolution,[],[f375,f1392]) ).

fof(f375,plain,
    ( ! [X8] :
        ( c3_1(X8)
        | ~ c2_1(X8)
        | c0_1(X8) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f3612,plain,
    ( spl0_93
    | ~ spl0_15
    | ~ spl0_92
    | spl0_94 ),
    inference(avatar_split_clause,[],[f3609,f744,f734,f394,f739]) ).

fof(f744,plain,
    ( spl0_94
  <=> c2_1(a2252) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f3609,plain,
    ( c1_1(a2252)
    | ~ spl0_15
    | ~ spl0_92
    | spl0_94 ),
    inference(subsumption_resolution,[],[f3605,f736]) ).

fof(f3605,plain,
    ( ~ c0_1(a2252)
    | c1_1(a2252)
    | ~ spl0_15
    | spl0_94 ),
    inference(resolution,[],[f395,f746]) ).

fof(f746,plain,
    ( ~ c2_1(a2252)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f744]) ).

fof(f3591,plain,
    ( ~ spl0_7
    | ~ spl0_12
    | spl0_236
    | spl0_238 ),
    inference(avatar_contradiction_clause,[],[f3590]) ).

fof(f3590,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_12
    | spl0_236
    | spl0_238 ),
    inference(subsumption_resolution,[],[f3586,f1514]) ).

fof(f3586,plain,
    ( c2_1(a2206)
    | ~ spl0_7
    | ~ spl0_12
    | spl0_236 ),
    inference(resolution,[],[f3585,f1504]) ).

fof(f3585,plain,
    ( ! [X9] :
        ( c3_1(X9)
        | c2_1(X9) )
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f383,f365]) ).

fof(f3547,plain,
    ( ~ spl0_15
    | spl0_233
    | spl0_234
    | ~ spl0_235 ),
    inference(avatar_contradiction_clause,[],[f3546]) ).

fof(f3546,plain,
    ( $false
    | ~ spl0_15
    | spl0_233
    | spl0_234
    | ~ spl0_235 ),
    inference(subsumption_resolution,[],[f3545,f1493]) ).

fof(f3545,plain,
    ( c1_1(a2209)
    | ~ spl0_15
    | spl0_233
    | ~ spl0_235 ),
    inference(subsumption_resolution,[],[f3534,f1498]) ).

fof(f3534,plain,
    ( ~ c0_1(a2209)
    | c1_1(a2209)
    | ~ spl0_15
    | spl0_233 ),
    inference(resolution,[],[f395,f1488]) ).

fof(f3500,plain,
    ( spl0_15
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_23
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f3495,f690,f423,f364,f345,f394]) ).

fof(f3495,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_23
    | ~ spl0_83 ),
    inference(resolution,[],[f3493,f346]) ).

fof(f3493,plain,
    ( ! [X6] :
        ( c3_1(X6)
        | ~ c0_1(X6) )
    | ~ spl0_7
    | ~ spl0_23
    | ~ spl0_83 ),
    inference(subsumption_resolution,[],[f365,f3404]) ).

fof(f3404,plain,
    ( ! [X90] :
        ( c3_1(X90)
        | ~ c2_1(X90) )
    | ~ spl0_23
    | ~ spl0_83 ),
    inference(subsumption_resolution,[],[f691,f424]) ).

fof(f3391,plain,
    ( ~ spl0_15
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_52
    | ~ spl0_137
    | spl0_139 ),
    inference(avatar_contradiction_clause,[],[f3390]) ).

fof(f3390,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_52
    | ~ spl0_137
    | spl0_139 ),
    inference(subsumption_resolution,[],[f3370,f976]) ).

fof(f976,plain,
    ( c0_1(a2208)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f974]) ).

fof(f974,plain,
    ( spl0_137
  <=> c0_1(a2208) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f3370,plain,
    ( ~ c0_1(a2208)
    | ~ spl0_15
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_52
    | spl0_139 ),
    inference(resolution,[],[f3354,f986]) ).

fof(f986,plain,
    ( ~ c2_1(a2208)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f984]) ).

fof(f984,plain,
    ( spl0_139
  <=> c2_1(a2208) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f3354,plain,
    ( ! [X12] :
        ( c2_1(X12)
        | ~ c0_1(X12) )
    | ~ spl0_15
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f395,f3255]) ).

fof(f3255,plain,
    ( ! [X28] :
        ( ~ c1_1(X28)
        | c2_1(X28) )
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f469,f2214]) ).

fof(f2214,plain,
    ( ! [X44] :
        ( ~ c1_1(X44)
        | c3_1(X44) )
    | ~ spl0_23
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f543,f424]) ).

fof(f3310,plain,
    ( spl0_275
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_52
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f3308,f1123,f542,f468,f423,f1927]) ).

fof(f3308,plain,
    ( c2_1(a2189)
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_52
    | ~ spl0_165 ),
    inference(resolution,[],[f1125,f3255]) ).

fof(f3254,plain,
    ( ~ spl0_17
    | ~ spl0_23
    | ~ spl0_52
    | spl0_171
    | spl0_172 ),
    inference(avatar_contradiction_clause,[],[f3253]) ).

fof(f3253,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_23
    | ~ spl0_52
    | spl0_171
    | spl0_172 ),
    inference(subsumption_resolution,[],[f3252,f1157]) ).

fof(f1157,plain,
    ( ~ c2_1(a2186)
    | spl0_171 ),
    inference(avatar_component_clause,[],[f1155]) ).

fof(f3252,plain,
    ( c2_1(a2186)
    | ~ spl0_17
    | ~ spl0_23
    | ~ spl0_52
    | spl0_172 ),
    inference(resolution,[],[f1162,f3147]) ).

fof(f3147,plain,
    ( ! [X18] :
        ( c3_1(X18)
        | c2_1(X18) )
    | ~ spl0_17
    | ~ spl0_23
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f403,f2214]) ).

fof(f3205,plain,
    ( spl0_281
    | ~ spl0_8
    | ~ spl0_30
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f3176,f819,f451,f367,f2223]) ).

fof(f3176,plain,
    ( c1_1(a2235)
    | ~ spl0_8
    | ~ spl0_30
    | ~ spl0_108 ),
    inference(resolution,[],[f3136,f821]) ).

fof(f3136,plain,
    ( ! [X25] :
        ( ~ c2_1(X25)
        | c1_1(X25) )
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(subsumption_resolution,[],[f452,f368]) ).

fof(f3196,plain,
    ( ~ spl0_8
    | ~ spl0_30
    | spl0_147
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f3195]) ).

fof(f3195,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_30
    | spl0_147
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f3169,f1029]) ).

fof(f3169,plain,
    ( c1_1(a2204)
    | ~ spl0_8
    | ~ spl0_30
    | ~ spl0_148 ),
    inference(resolution,[],[f3136,f1034]) ).

fof(f3183,plain,
    ( ~ spl0_8
    | ~ spl0_30
    | spl0_231
    | ~ spl0_232 ),
    inference(avatar_contradiction_clause,[],[f3182]) ).

fof(f3182,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_30
    | spl0_231
    | ~ spl0_232 ),
    inference(subsumption_resolution,[],[f3155,f1477]) ).

fof(f3155,plain,
    ( c1_1(a2211)
    | ~ spl0_8
    | ~ spl0_30
    | ~ spl0_232 ),
    inference(resolution,[],[f3136,f1482]) ).

fof(f3144,plain,
    ( spl0_139
    | ~ spl0_4
    | ~ spl0_137
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f3143,f979,f974,f353,f984]) ).

fof(f979,plain,
    ( spl0_138
  <=> c3_1(a2208) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f3143,plain,
    ( c2_1(a2208)
    | ~ spl0_4
    | ~ spl0_137
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f3142,f981]) ).

fof(f981,plain,
    ( c3_1(a2208)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f979]) ).

fof(f3142,plain,
    ( c2_1(a2208)
    | ~ c3_1(a2208)
    | ~ spl0_4
    | ~ spl0_137 ),
    inference(resolution,[],[f976,f354]) ).

fof(f3141,plain,
    ( ~ spl0_270
    | ~ spl0_4
    | ~ spl0_92
    | spl0_94 ),
    inference(avatar_split_clause,[],[f3140,f744,f734,f353,f1798]) ).

fof(f3140,plain,
    ( ~ c3_1(a2252)
    | ~ spl0_4
    | ~ spl0_92
    | spl0_94 ),
    inference(subsumption_resolution,[],[f3139,f746]) ).

fof(f3139,plain,
    ( c2_1(a2252)
    | ~ c3_1(a2252)
    | ~ spl0_4
    | ~ spl0_92 ),
    inference(resolution,[],[f736,f354]) ).

fof(f2964,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_37
    | ~ spl0_52
    | ~ spl0_177 ),
    inference(avatar_contradiction_clause,[],[f2959]) ).

fof(f2959,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_37
    | ~ spl0_52
    | ~ spl0_177 ),
    inference(resolution,[],[f2957,f1188]) ).

fof(f1188,plain,
    ( c1_1(a2184)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1187]) ).

fof(f1187,plain,
    ( spl0_177
  <=> c1_1(a2184) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f2957,plain,
    ( ! [X30] : ~ c1_1(X30)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_37
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f2832,f2743]) ).

fof(f2743,plain,
    ( ! [X20] :
        ( c2_1(X20)
        | ~ c1_1(X20) )
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f413,f1682]) ).

fof(f1682,plain,
    ( ! [X6] :
        ( ~ c0_1(X6)
        | c2_1(X6) )
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f365,f354]) ).

fof(f2832,plain,
    ( ! [X30] :
        ( ~ c1_1(X30)
        | ~ c2_1(X30) )
    | ~ spl0_23
    | ~ spl0_37
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f481,f2214]) ).

fof(f2963,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_37
    | ~ spl0_52
    | ~ spl0_165 ),
    inference(avatar_contradiction_clause,[],[f2960]) ).

fof(f2960,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_37
    | ~ spl0_52
    | ~ spl0_165 ),
    inference(resolution,[],[f2957,f1125]) ).

fof(f2905,plain,
    ( ~ spl0_216
    | ~ spl0_9
    | ~ spl0_18
    | ~ spl0_23
    | ~ spl0_52
    | spl0_215 ),
    inference(avatar_split_clause,[],[f2893,f1390,f542,f423,f405,f370,f1395]) ).

fof(f2893,plain,
    ( ~ c2_1(a2221)
    | ~ spl0_9
    | ~ spl0_18
    | ~ spl0_23
    | ~ spl0_52
    | spl0_215 ),
    inference(resolution,[],[f2744,f1392]) ).

fof(f2744,plain,
    ( ! [X4] :
        ( c3_1(X4)
        | ~ c2_1(X4) )
    | ~ spl0_9
    | ~ spl0_18
    | ~ spl0_23
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f371,f2540]) ).

fof(f2540,plain,
    ( ! [X17] :
        ( c3_1(X17)
        | c0_1(X17) )
    | ~ spl0_18
    | ~ spl0_23
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f406,f2214]) ).

fof(f2877,plain,
    ( ~ spl0_23
    | ~ spl0_83
    | spl0_230
    | ~ spl0_232 ),
    inference(avatar_contradiction_clause,[],[f2876]) ).

fof(f2876,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_83
    | spl0_230
    | ~ spl0_232 ),
    inference(subsumption_resolution,[],[f2871,f1482]) ).

fof(f2871,plain,
    ( ~ c2_1(a2211)
    | ~ spl0_23
    | ~ spl0_83
    | spl0_230 ),
    inference(resolution,[],[f2542,f1472]) ).

fof(f1472,plain,
    ( ~ c3_1(a2211)
    | spl0_230 ),
    inference(avatar_component_clause,[],[f1470]) ).

fof(f2542,plain,
    ( ! [X90] :
        ( c3_1(X90)
        | ~ c2_1(X90) )
    | ~ spl0_23
    | ~ spl0_83 ),
    inference(subsumption_resolution,[],[f691,f424]) ).

fof(f2754,plain,
    ( spl0_217
    | ~ spl0_18
    | ~ spl0_23
    | ~ spl0_52
    | spl0_215 ),
    inference(avatar_split_clause,[],[f2753,f1390,f542,f423,f405,f1400]) ).

fof(f2753,plain,
    ( c0_1(a2221)
    | ~ spl0_18
    | ~ spl0_23
    | ~ spl0_52
    | spl0_215 ),
    inference(resolution,[],[f1392,f2540]) ).

fof(f2738,plain,
    ( ~ spl0_18
    | ~ spl0_23
    | ~ spl0_38
    | ~ spl0_52
    | spl0_215 ),
    inference(avatar_contradiction_clause,[],[f2737]) ).

fof(f2737,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_23
    | ~ spl0_38
    | ~ spl0_52
    | spl0_215 ),
    inference(subsumption_resolution,[],[f1392,f2643]) ).

fof(f2643,plain,
    ( ! [X29] : c3_1(X29)
    | ~ spl0_18
    | ~ spl0_23
    | ~ spl0_38
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f2541,f2540]) ).

fof(f2541,plain,
    ( ! [X29] :
        ( ~ c0_1(X29)
        | c3_1(X29) )
    | ~ spl0_23
    | ~ spl0_38
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f484,f2214]) ).

fof(f2697,plain,
    ( ~ spl0_8
    | spl0_257
    | spl0_258
    | ~ spl0_259 ),
    inference(avatar_contradiction_clause,[],[f2696]) ).

fof(f2696,plain,
    ( $false
    | ~ spl0_8
    | spl0_257
    | spl0_258
    | ~ spl0_259 ),
    inference(subsumption_resolution,[],[f2695,f1616]) ).

fof(f1616,plain,
    ( ~ c0_1(a2190)
    | spl0_257 ),
    inference(avatar_component_clause,[],[f1614]) ).

fof(f1614,plain,
    ( spl0_257
  <=> c0_1(a2190) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).

fof(f2695,plain,
    ( c0_1(a2190)
    | ~ spl0_8
    | spl0_258
    | ~ spl0_259 ),
    inference(subsumption_resolution,[],[f2663,f1621]) ).

fof(f1621,plain,
    ( ~ c1_1(a2190)
    | spl0_258 ),
    inference(avatar_component_clause,[],[f1619]) ).

fof(f1619,plain,
    ( spl0_258
  <=> c1_1(a2190) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).

fof(f2663,plain,
    ( c1_1(a2190)
    | c0_1(a2190)
    | ~ spl0_8
    | ~ spl0_259 ),
    inference(resolution,[],[f368,f1626]) ).

fof(f1626,plain,
    ( c2_1(a2190)
    | ~ spl0_259 ),
    inference(avatar_component_clause,[],[f1624]) ).

fof(f1624,plain,
    ( spl0_259
  <=> c2_1(a2190) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).

fof(f2655,plain,
    ( ~ spl0_18
    | ~ spl0_23
    | ~ spl0_38
    | ~ spl0_52
    | spl0_230 ),
    inference(avatar_contradiction_clause,[],[f2648]) ).

fof(f2648,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_23
    | ~ spl0_38
    | ~ spl0_52
    | spl0_230 ),
    inference(resolution,[],[f2643,f1472]) ).

fof(f2654,plain,
    ( ~ spl0_18
    | ~ spl0_23
    | ~ spl0_38
    | ~ spl0_52
    | spl0_218 ),
    inference(avatar_contradiction_clause,[],[f2649]) ).

fof(f2649,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_23
    | ~ spl0_38
    | ~ spl0_52
    | spl0_218 ),
    inference(resolution,[],[f2643,f1408]) ).

fof(f2536,plain,
    ( ~ spl0_2
    | ~ spl0_16
    | ~ spl0_18
    | ~ spl0_38
    | spl0_234 ),
    inference(avatar_contradiction_clause,[],[f2517]) ).

fof(f2517,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_18
    | ~ spl0_38
    | spl0_234 ),
    inference(resolution,[],[f2512,f1493]) ).

fof(f2512,plain,
    ( ! [X17] : c1_1(X17)
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_18
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f2315,f2304]) ).

fof(f2304,plain,
    ( ! [X29] :
        ( ~ c0_1(X29)
        | c1_1(X29) )
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f484,f1817]) ).

fof(f1817,plain,
    ( ! [X14] :
        ( ~ c3_1(X14)
        | c1_1(X14) )
    | ~ spl0_2
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f399,f346]) ).

fof(f2315,plain,
    ( ! [X17] :
        ( c0_1(X17)
        | c1_1(X17) )
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f406,f1817]) ).

fof(f2298,plain,
    ( ~ spl0_23
    | ~ spl0_52
    | spl0_141
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f2297]) ).

fof(f2297,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_52
    | spl0_141
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f2273,f997]) ).

fof(f997,plain,
    ( ~ c3_1(a2207)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f995]) ).

fof(f995,plain,
    ( spl0_141
  <=> c3_1(a2207) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f2273,plain,
    ( c3_1(a2207)
    | ~ spl0_23
    | ~ spl0_52
    | ~ spl0_142 ),
    inference(resolution,[],[f2214,f1002]) ).

fof(f1002,plain,
    ( c1_1(a2207)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f1000]) ).

fof(f1000,plain,
    ( spl0_142
  <=> c1_1(a2207) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2294,plain,
    ( ~ spl0_23
    | ~ spl0_52
    | ~ spl0_167
    | spl0_169 ),
    inference(avatar_contradiction_clause,[],[f2293]) ).

fof(f2293,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_52
    | ~ spl0_167
    | spl0_169 ),
    inference(subsumption_resolution,[],[f2269,f1146]) ).

fof(f2269,plain,
    ( c3_1(a2188)
    | ~ spl0_23
    | ~ spl0_52
    | ~ spl0_167 ),
    inference(resolution,[],[f2214,f1136]) ).

fof(f1136,plain,
    ( c1_1(a2188)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1134]) ).

fof(f1134,plain,
    ( spl0_167
  <=> c1_1(a2188) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f2289,plain,
    ( ~ spl0_23
    | ~ spl0_52
    | spl0_206
    | ~ spl0_208 ),
    inference(avatar_contradiction_clause,[],[f2288]) ).

fof(f2288,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_52
    | spl0_206
    | ~ spl0_208 ),
    inference(subsumption_resolution,[],[f2264,f1344]) ).

fof(f2264,plain,
    ( c3_1(a2237)
    | ~ spl0_23
    | ~ spl0_52
    | ~ spl0_208 ),
    inference(resolution,[],[f2214,f1354]) ).

fof(f1354,plain,
    ( c1_1(a2237)
    | ~ spl0_208 ),
    inference(avatar_component_clause,[],[f1352]) ).

fof(f2255,plain,
    ( ~ spl0_2
    | spl0_254
    | spl0_255
    | ~ spl0_256 ),
    inference(avatar_contradiction_clause,[],[f2254]) ).

fof(f2254,plain,
    ( $false
    | ~ spl0_2
    | spl0_254
    | spl0_255
    | ~ spl0_256 ),
    inference(subsumption_resolution,[],[f2253,f1605]) ).

fof(f1605,plain,
    ( ~ c2_1(a2191)
    | spl0_255 ),
    inference(avatar_component_clause,[],[f1603]) ).

fof(f1603,plain,
    ( spl0_255
  <=> c2_1(a2191) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).

fof(f2253,plain,
    ( c2_1(a2191)
    | ~ spl0_2
    | spl0_254
    | ~ spl0_256 ),
    inference(subsumption_resolution,[],[f2247,f1600]) ).

fof(f1600,plain,
    ( ~ c1_1(a2191)
    | spl0_254 ),
    inference(avatar_component_clause,[],[f1598]) ).

fof(f1598,plain,
    ( spl0_254
  <=> c1_1(a2191) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).

fof(f2247,plain,
    ( c1_1(a2191)
    | c2_1(a2191)
    | ~ spl0_2
    | ~ spl0_256 ),
    inference(resolution,[],[f1610,f346]) ).

fof(f1610,plain,
    ( c3_1(a2191)
    | ~ spl0_256 ),
    inference(avatar_component_clause,[],[f1608]) ).

fof(f1608,plain,
    ( spl0_256
  <=> c3_1(a2191) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).

fof(f2100,plain,
    ( ~ spl0_2
    | ~ spl0_16
    | ~ spl0_18
    | ~ spl0_38
    | spl0_231 ),
    inference(avatar_contradiction_clause,[],[f2091]) ).

fof(f2091,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_18
    | ~ spl0_38
    | spl0_231 ),
    inference(resolution,[],[f2090,f1477]) ).

fof(f2090,plain,
    ( ! [X29] : c1_1(X29)
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_18
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f2089,f1817]) ).

fof(f2089,plain,
    ( ! [X29] :
        ( c3_1(X29)
        | c1_1(X29) )
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_18
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f484,f1920]) ).

fof(f1920,plain,
    ( ! [X17] :
        ( c1_1(X17)
        | c0_1(X17) )
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f406,f1817]) ).

fof(f2083,plain,
    ( ~ spl0_2
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_18
    | ~ spl0_30
    | spl0_177 ),
    inference(avatar_contradiction_clause,[],[f2078]) ).

fof(f2078,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_18
    | ~ spl0_30
    | spl0_177 ),
    inference(resolution,[],[f2075,f1189]) ).

fof(f1189,plain,
    ( ~ c1_1(a2184)
    | spl0_177 ),
    inference(avatar_component_clause,[],[f1187]) ).

fof(f2075,plain,
    ( ! [X25] : c1_1(X25)
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_18
    | ~ spl0_30 ),
    inference(subsumption_resolution,[],[f2074,f1920]) ).

fof(f2074,plain,
    ( ! [X25] :
        ( c1_1(X25)
        | ~ c0_1(X25) )
    | ~ spl0_2
    | ~ spl0_17
    | ~ spl0_30 ),
    inference(subsumption_resolution,[],[f452,f1846]) ).

fof(f1846,plain,
    ( ! [X18] :
        ( c2_1(X18)
        | c1_1(X18) )
    | ~ spl0_2
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f403,f346]) ).

fof(f1894,plain,
    ( spl0_217
    | spl0_273
    | ~ spl0_8
    | ~ spl0_216 ),
    inference(avatar_split_clause,[],[f1889,f1395,f367,f1891,f1400]) ).

fof(f1889,plain,
    ( c1_1(a2221)
    | c0_1(a2221)
    | ~ spl0_8
    | ~ spl0_216 ),
    inference(resolution,[],[f1397,f368]) ).

fof(f1721,plain,
    ( ~ spl0_2
    | ~ spl0_17
    | spl0_219
    | spl0_220 ),
    inference(avatar_contradiction_clause,[],[f1720]) ).

fof(f1720,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_17
    | spl0_219
    | spl0_220 ),
    inference(subsumption_resolution,[],[f1719,f1413]) ).

fof(f1413,plain,
    ( ~ c1_1(a2220)
    | spl0_219 ),
    inference(avatar_component_clause,[],[f1411]) ).

fof(f1719,plain,
    ( c1_1(a2220)
    | ~ spl0_2
    | ~ spl0_17
    | spl0_220 ),
    inference(resolution,[],[f1418,f1695]) ).

fof(f1695,plain,
    ( ! [X18] :
        ( c2_1(X18)
        | c1_1(X18) )
    | ~ spl0_2
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f403,f346]) ).

fof(f1659,plain,
    ( ~ spl0_87
    | spl0_265 ),
    inference(avatar_split_clause,[],[f12,f1656,f710]) ).

fof(f710,plain,
    ( spl0_87
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f12,plain,
    ( c3_1(a2182)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( ! [X0] :
          ( c2_1(X0)
          | c1_1(X0)
          | ~ c3_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | c2_1(X1)
          | ~ c3_1(X1)
          | ~ ndr1_0 )
      | hskp58 )
    & ( hskp40
      | ! [X2] :
          ( c0_1(X2)
          | ~ c2_1(X2)
          | ~ c3_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c0_1(X3)
          | ~ c3_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 ) )
    & ( ! [X4] :
          ( ~ c2_1(X4)
          | ~ c0_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c1_1(X5)
          | c0_1(X5)
          | ~ c2_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c0_1(X6)
          | c2_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X7] :
          ( ~ c0_1(X7)
          | ~ c2_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | hskp56
      | ! [X8] :
          ( ~ c2_1(X8)
          | c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X9] :
          ( c2_1(X9)
          | c0_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c3_1(X10)
          | c0_1(X10)
          | ~ ndr1_0 ) )
    & ( ! [X11] :
          ( ~ c3_1(X11)
          | c1_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c2_1(X12)
          | c1_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | hskp32 )
    & ( ! [X13] :
          ( c1_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c2_1(X14)
          | ~ c3_1(X14)
          | c1_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c1_1(X15)
          | ~ c2_1(X15)
          | c0_1(X15)
          | ~ ndr1_0 ) )
    & ( ! [X16] :
          ( ~ c3_1(X16)
          | ~ c0_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c3_1(X17)
          | c1_1(X17)
          | c0_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c3_1(X18)
          | c2_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( ! [X19] :
          ( ~ c3_1(X19)
          | ~ c0_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c1_1(X20)
          | c2_1(X20)
          | c0_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c3_1(X21)
          | c0_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X22] :
          ( ~ c1_1(X22)
          | c3_1(X22)
          | ~ c2_1(X22)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X23] :
          ( c1_1(X23)
          | ~ c3_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 )
      | hskp24
      | hskp23 )
    & ( hskp22
      | ! [X24] :
          ( c3_1(X24)
          | c0_1(X24)
          | ~ c1_1(X24)
          | ~ ndr1_0 )
      | hskp57 )
    & ( ! [X25] :
          ( ~ c2_1(X25)
          | ~ c0_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 )
      | hskp56
      | ! [X26] :
          ( c2_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp55
      | hskp54
      | hskp21 )
    & ( hskp10
      | ! [X27] :
          ( ~ c0_1(X27)
          | c2_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c1_1(X28)
          | c2_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 ) )
    & ( ! [X29] :
          ( ~ c0_1(X29)
          | c1_1(X29)
          | c3_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c2_1(X30)
          | ~ c3_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X31] :
          ( c1_1(X31)
          | ~ c3_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 )
      | hskp10
      | ! [X32] :
          ( c3_1(X32)
          | ~ c0_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0 ) )
    & ( ! [X33] :
          ( c1_1(X33)
          | c2_1(X33)
          | c3_1(X33)
          | ~ ndr1_0 )
      | hskp53
      | ! [X34] :
          ( c1_1(X34)
          | c3_1(X34)
          | ~ c0_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp52
      | hskp19
      | ! [X35] :
          ( c0_1(X35)
          | ~ c2_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( ~ c0_1(X36)
          | c3_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c2_1(X37)
          | c0_1(X37)
          | c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c0_1(X38)
          | ~ c1_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 ) )
    & ( ! [X39] :
          ( ~ c2_1(X39)
          | c0_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | hskp51
      | hskp50 )
    & ( hskp31
      | hskp49
      | ! [X40] :
          ( ~ c3_1(X40)
          | c1_1(X40)
          | c0_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp48
      | ! [X41] :
          ( ~ c1_1(X41)
          | c0_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c0_1(X42)
          | ~ c3_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 ) )
    & ( ! [X43] :
          ( c2_1(X43)
          | ~ c1_1(X43)
          | c3_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c2_1(X44)
          | c3_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X45] :
          ( c3_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c2_1(X46)
          | c0_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | hskp47 )
    & ( ! [X47] :
          ( c0_1(X47)
          | ~ c1_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | hskp33
      | ! [X48] :
          ( c3_1(X48)
          | ~ c0_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( c0_1(X49)
          | ~ c1_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | hskp33
      | ! [X50] :
          ( ~ c2_1(X50)
          | ~ c3_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X51] :
          ( c3_1(X51)
          | ~ c2_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X52] :
          ( c1_1(X52)
          | ~ c2_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 )
      | hskp17
      | hskp16 )
    & ( ! [X53] :
          ( c3_1(X53)
          | c2_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c0_1(X54)
          | c2_1(X54)
          | c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c0_1(X55)
          | c2_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp34
      | hskp46
      | ! [X56] :
          ( ~ c3_1(X56)
          | c1_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( c1_1(X57)
          | ~ c2_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | hskp15
      | hskp45 )
    & ( ! [X58] :
          ( ~ c0_1(X58)
          | ~ c3_1(X58)
          | c1_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c0_1(X59)
          | c2_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | hskp44 )
    & ( ! [X60] :
          ( ~ c3_1(X60)
          | c1_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c2_1(X61)
          | c0_1(X61)
          | c1_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c2_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X63] :
          ( c2_1(X63)
          | c3_1(X63)
          | ~ c0_1(X63)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X64] :
          ( ~ c1_1(X64)
          | c0_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c0_1(X66)
          | ~ c2_1(X66)
          | c3_1(X66)
          | ~ ndr1_0 ) )
    & ( ! [X67] :
          ( c1_1(X67)
          | c3_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c3_1(X68)
          | c1_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 )
      | hskp13 )
    & ( hskp12
      | hskp3
      | hskp11 )
    & ( hskp43
      | hskp42
      | ! [X69] :
          ( c0_1(X69)
          | c3_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 ) )
    & ( ! [X70] :
          ( ~ c1_1(X70)
          | ~ c3_1(X70)
          | c2_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c2_1(X71)
          | ~ c1_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c0_1(X72)
          | ~ c1_1(X72)
          | c2_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp41
      | ! [X73] :
          ( c0_1(X73)
          | c3_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp40
      | ! [X74] :
          ( c2_1(X74)
          | c1_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c0_1(X75)
          | c3_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 ) )
    & ( ! [X76] :
          ( c1_1(X76)
          | ~ c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c2_1(X77)
          | c3_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c1_1(X78)
          | ~ c0_1(X78)
          | c3_1(X78)
          | ~ ndr1_0 ) )
    & ( ! [X79] :
          ( ~ c0_1(X79)
          | c1_1(X79)
          | c2_1(X79)
          | ~ ndr1_0 )
      | hskp9
      | hskp8 )
    & ( ! [X80] :
          ( ~ c2_1(X80)
          | ~ c0_1(X80)
          | ~ c1_1(X80)
          | ~ ndr1_0 )
      | hskp39
      | ! [X81] :
          ( ~ c1_1(X81)
          | c2_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( c0_1(X82)
          | c1_1(X82)
          | c2_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c0_1(X83)
          | ~ c1_1(X83)
          | c3_1(X83)
          | ~ ndr1_0 )
      | hskp38 )
    & ( hskp37
      | hskp7
      | ! [X84] :
          ( ~ c0_1(X84)
          | c3_1(X84)
          | c2_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp37
      | hskp34 )
    & ( ! [X85] :
          ( c2_1(X85)
          | c3_1(X85)
          | ~ c1_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c0_1(X86)
          | ~ c2_1(X86)
          | ~ c1_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c2_1(X87)
          | c0_1(X87)
          | c1_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp36
      | hskp35
      | hskp5 )
    & ( hskp4
      | ! [X88] :
          ( c3_1(X88)
          | ~ c1_1(X88)
          | c2_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c2_1(X89)
          | ~ c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X90] :
          ( ~ c2_1(X90)
          | c1_1(X90)
          | c3_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c1_1(X91)
          | ~ c2_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X92] :
          ( c3_1(X92)
          | c2_1(X92)
          | ~ c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c2_1(X93)
          | ~ c3_1(X93)
          | c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c2_1(X94)
          | ~ c0_1(X94)
          | ~ c1_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp34
      | ! [X95] :
          ( ~ c2_1(X95)
          | c1_1(X95)
          | ~ c0_1(X95)
          | ~ ndr1_0 )
      | hskp33 )
    & ( ! [X96] :
          ( c0_1(X96)
          | c1_1(X96)
          | c3_1(X96)
          | ~ ndr1_0 )
      | hskp2
      | hskp32 )
    & ( hskp31
      | hskp30
      | hskp29 )
    & ( ! [X97] :
          ( c0_1(X97)
          | c1_1(X97)
          | c3_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c3_1(X98)
          | c0_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X99] :
          ( ~ c1_1(X99)
          | ~ c2_1(X99)
          | ~ c0_1(X99)
          | ~ ndr1_0 )
      | hskp0
      | ! [X100] :
          ( ~ c1_1(X100)
          | ~ c0_1(X100)
          | ~ c2_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp27
      | ! [X101] :
          ( c2_1(X101)
          | c1_1(X101)
          | c3_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( c0_1(X102)
          | ~ c3_1(X102)
          | ~ c1_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ( c0_1(a2252)
        & ~ c1_1(a2252)
        & ~ c2_1(a2252)
        & ndr1_0 )
      | ~ hskp58 )
    & ( ( c3_1(a2243)
        & c0_1(a2243)
        & c1_1(a2243)
        & ndr1_0 )
      | ~ hskp57 )
    & ( ( c2_1(a2242)
        & ~ c3_1(a2242)
        & ~ c1_1(a2242)
        & ndr1_0 )
      | ~ hskp56 )
    & ( ( c2_1(a2241)
        & c0_1(a2241)
        & c1_1(a2241)
        & ndr1_0 )
      | ~ hskp55 )
    & ( ( c0_1(a2240)
        & c3_1(a2240)
        & c1_1(a2240)
        & ndr1_0 )
      | ~ hskp54 )
    & ( ( c3_1(a2235)
        & c2_1(a2235)
        & c0_1(a2235)
        & ndr1_0 )
      | ~ hskp53 )
    & ( ( c2_1(a2234)
        & c3_1(a2234)
        & c1_1(a2234)
        & ndr1_0 )
      | ~ hskp52 )
    & ( ( c2_1(a2232)
        & c3_1(a2232)
        & c0_1(a2232)
        & ndr1_0 )
      | ~ hskp51 )
    & ( ( c1_1(a2231)
        & c2_1(a2231)
        & ~ c3_1(a2231)
        & ndr1_0 )
      | ~ hskp50 )
    & ( ( c3_1(a2229)
        & ~ c1_1(a2229)
        & c0_1(a2229)
        & ndr1_0 )
      | ~ hskp49 )
    & ( ( c2_1(a2228)
        & c3_1(a2228)
        & ~ c0_1(a2228)
        & ndr1_0 )
      | ~ hskp48 )
    & ( ( c0_1(a2226)
        & ~ c1_1(a2226)
        & c2_1(a2226)
        & ndr1_0 )
      | ~ hskp47 )
    & ( ( c2_1(a2218)
        & ~ c3_1(a2218)
        & c0_1(a2218)
        & ndr1_0 )
      | ~ hskp46 )
    & ( ( c0_1(a2216)
        & c3_1(a2216)
        & c2_1(a2216)
        & ndr1_0 )
      | ~ hskp45 )
    & ( ( c1_1(a2215)
        & c2_1(a2215)
        & ~ c0_1(a2215)
        & ndr1_0 )
      | ~ hskp44 )
    & ( ( c0_1(a2208)
        & c3_1(a2208)
        & ~ c2_1(a2208)
        & ndr1_0 )
      | ~ hskp43 )
    & ( ( c0_1(a2207)
        & ~ c3_1(a2207)
        & c1_1(a2207)
        & ndr1_0 )
      | ~ hskp42 )
    & ( ( c1_1(a2205)
        & ~ c0_1(a2205)
        & c2_1(a2205)
        & ndr1_0 )
      | ~ hskp41 )
    & ( ( c3_1(a2204)
        & ~ c1_1(a2204)
        & c2_1(a2204)
        & ndr1_0 )
      | ~ hskp40 )
    & ( ( c3_1(a2201)
        & ~ c0_1(a2201)
        & ~ c1_1(a2201)
        & ndr1_0 )
      | ~ hskp39 )
    & ( ( c1_1(a2200)
        & ~ c2_1(a2200)
        & ~ c0_1(a2200)
        & ndr1_0 )
      | ~ hskp38 )
    & ( ( c2_1(a2196)
        & ~ c0_1(a2196)
        & c1_1(a2196)
        & ndr1_0 )
      | ~ hskp37 )
    & ( ( c1_1(a2194)
        & ~ c2_1(a2194)
        & c3_1(a2194)
        & ndr1_0 )
      | ~ hskp36 )
    & ( ( c3_1(a2193)
        & ~ c0_1(a2193)
        & c2_1(a2193)
        & ndr1_0 )
      | ~ hskp35 )
    & ( ( c3_1(a2189)
        & c1_1(a2189)
        & ~ c0_1(a2189)
        & ndr1_0 )
      | ~ hskp34 )
    & ( ( c1_1(a2188)
        & ~ c2_1(a2188)
        & ~ c3_1(a2188)
        & ndr1_0 )
      | ~ hskp33 )
    & ( ( c0_1(a2186)
        & ~ c2_1(a2186)
        & ~ c3_1(a2186)
        & ndr1_0 )
      | ~ hskp32 )
    & ( ( c3_1(a2185)
        & ~ c2_1(a2185)
        & c1_1(a2185)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c0_1(a2184)
        & ~ c1_1(a2184)
        & ~ c3_1(a2184)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a2183)
        & c2_1(a2183)
        & ~ c0_1(a2183)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2180)
        & c1_1(a2180)
        & c3_1(a2180)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c0_1(a2179)
        & ~ c2_1(a2179)
        & ~ c1_1(a2179)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c2_1(a2178)
        & c0_1(a2178)
        & ~ c3_1(a2178)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a2249)
        & c2_1(a2249)
        & c3_1(a2249)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a2246)
        & ~ c0_1(a2246)
        & c1_1(a2246)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a2245)
        & c0_1(a2245)
        & c3_1(a2245)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a2244)
        & ~ c2_1(a2244)
        & c0_1(a2244)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a2239)
        & ~ c0_1(a2239)
        & c2_1(a2239)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a2237)
        & c0_1(a2237)
        & c1_1(a2237)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2233)
        & ~ c1_1(a2233)
        & ~ c0_1(a2233)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a2222)
        & c3_1(a2222)
        & c0_1(a2222)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a2221)
        & c2_1(a2221)
        & ~ c0_1(a2221)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2220)
        & ~ c1_1(a2220)
        & ~ c2_1(a2220)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a2217)
        & c1_1(a2217)
        & ~ c3_1(a2217)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a2213)
        & c2_1(a2213)
        & ~ c1_1(a2213)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a2212)
        & c2_1(a2212)
        & c0_1(a2212)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a2211)
        & ~ c1_1(a2211)
        & c2_1(a2211)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a2209)
        & ~ c1_1(a2209)
        & c0_1(a2209)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a2206)
        & ~ c0_1(a2206)
        & ~ c2_1(a2206)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a2203)
        & c0_1(a2203)
        & ~ c1_1(a2203)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a2202)
        & ~ c1_1(a2202)
        & ~ c2_1(a2202)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a2198)
        & c0_1(a2198)
        & c2_1(a2198)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a2197)
        & ~ c3_1(a2197)
        & ~ c0_1(a2197)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a2192)
        & c1_1(a2192)
        & ~ c0_1(a2192)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a2191)
        & ~ c2_1(a2191)
        & c3_1(a2191)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c0_1(a2190)
        & ~ c1_1(a2190)
        & c2_1(a2190)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a2187)
        & c1_1(a2187)
        & c3_1(a2187)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2182)
        & ~ c0_1(a2182)
        & c3_1(a2182)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a2181)
        & ~ c1_1(a2181)
        & ~ c0_1(a2181)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( ! [X0] :
          ( c2_1(X0)
          | c1_1(X0)
          | ~ c3_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | c2_1(X1)
          | ~ c3_1(X1)
          | ~ ndr1_0 )
      | hskp58 )
    & ( hskp40
      | ! [X2] :
          ( c0_1(X2)
          | ~ c2_1(X2)
          | ~ c3_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c0_1(X3)
          | ~ c3_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 ) )
    & ( ! [X4] :
          ( ~ c2_1(X4)
          | ~ c0_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c1_1(X5)
          | c0_1(X5)
          | ~ c2_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c0_1(X6)
          | c2_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X7] :
          ( ~ c0_1(X7)
          | ~ c2_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | hskp56
      | ! [X8] :
          ( ~ c2_1(X8)
          | c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X9] :
          ( c2_1(X9)
          | c0_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c3_1(X10)
          | c0_1(X10)
          | ~ ndr1_0 ) )
    & ( ! [X11] :
          ( ~ c3_1(X11)
          | c1_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c2_1(X12)
          | c1_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | hskp32 )
    & ( ! [X13] :
          ( c1_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c2_1(X14)
          | ~ c3_1(X14)
          | c1_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c1_1(X15)
          | ~ c2_1(X15)
          | c0_1(X15)
          | ~ ndr1_0 ) )
    & ( ! [X16] :
          ( ~ c3_1(X16)
          | ~ c0_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c3_1(X17)
          | c1_1(X17)
          | c0_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c3_1(X18)
          | c2_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( ! [X19] :
          ( ~ c3_1(X19)
          | ~ c0_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c1_1(X20)
          | c2_1(X20)
          | c0_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c3_1(X21)
          | c0_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X22] :
          ( ~ c1_1(X22)
          | c3_1(X22)
          | ~ c2_1(X22)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X23] :
          ( c1_1(X23)
          | ~ c3_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 )
      | hskp24
      | hskp23 )
    & ( hskp22
      | ! [X24] :
          ( c3_1(X24)
          | c0_1(X24)
          | ~ c1_1(X24)
          | ~ ndr1_0 )
      | hskp57 )
    & ( ! [X25] :
          ( ~ c2_1(X25)
          | ~ c0_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 )
      | hskp56
      | ! [X26] :
          ( c2_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp55
      | hskp54
      | hskp21 )
    & ( hskp10
      | ! [X27] :
          ( ~ c0_1(X27)
          | c2_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c1_1(X28)
          | c2_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 ) )
    & ( ! [X29] :
          ( ~ c0_1(X29)
          | c1_1(X29)
          | c3_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c2_1(X30)
          | ~ c3_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X31] :
          ( c1_1(X31)
          | ~ c3_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 )
      | hskp10
      | ! [X32] :
          ( c3_1(X32)
          | ~ c0_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0 ) )
    & ( ! [X33] :
          ( c1_1(X33)
          | c2_1(X33)
          | c3_1(X33)
          | ~ ndr1_0 )
      | hskp53
      | ! [X34] :
          ( c1_1(X34)
          | c3_1(X34)
          | ~ c0_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp52
      | hskp19
      | ! [X35] :
          ( c0_1(X35)
          | ~ c2_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( ~ c0_1(X36)
          | c3_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c2_1(X37)
          | c0_1(X37)
          | c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c0_1(X38)
          | ~ c1_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 ) )
    & ( ! [X39] :
          ( ~ c2_1(X39)
          | c0_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | hskp51
      | hskp50 )
    & ( hskp31
      | hskp49
      | ! [X40] :
          ( ~ c3_1(X40)
          | c1_1(X40)
          | c0_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp48
      | ! [X41] :
          ( ~ c1_1(X41)
          | c0_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c0_1(X42)
          | ~ c3_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 ) )
    & ( ! [X43] :
          ( c2_1(X43)
          | ~ c1_1(X43)
          | c3_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c2_1(X44)
          | c3_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X45] :
          ( c3_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c2_1(X46)
          | c0_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | hskp47 )
    & ( ! [X47] :
          ( c0_1(X47)
          | ~ c1_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | hskp33
      | ! [X48] :
          ( c3_1(X48)
          | ~ c0_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( c0_1(X49)
          | ~ c1_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | hskp33
      | ! [X50] :
          ( ~ c2_1(X50)
          | ~ c3_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X51] :
          ( c3_1(X51)
          | ~ c2_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X52] :
          ( c1_1(X52)
          | ~ c2_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 )
      | hskp17
      | hskp16 )
    & ( ! [X53] :
          ( c3_1(X53)
          | c2_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c0_1(X54)
          | c2_1(X54)
          | c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c0_1(X55)
          | c2_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp34
      | hskp46
      | ! [X56] :
          ( ~ c3_1(X56)
          | c1_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( c1_1(X57)
          | ~ c2_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | hskp15
      | hskp45 )
    & ( ! [X58] :
          ( ~ c0_1(X58)
          | ~ c3_1(X58)
          | c1_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c0_1(X59)
          | c2_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | hskp44 )
    & ( ! [X60] :
          ( ~ c3_1(X60)
          | c1_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c2_1(X61)
          | c0_1(X61)
          | c1_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c2_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X63] :
          ( c2_1(X63)
          | c3_1(X63)
          | ~ c0_1(X63)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X64] :
          ( ~ c1_1(X64)
          | c0_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c0_1(X66)
          | ~ c2_1(X66)
          | c3_1(X66)
          | ~ ndr1_0 ) )
    & ( ! [X67] :
          ( c1_1(X67)
          | c3_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c3_1(X68)
          | c1_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 )
      | hskp13 )
    & ( hskp12
      | hskp3
      | hskp11 )
    & ( hskp43
      | hskp42
      | ! [X69] :
          ( c0_1(X69)
          | c3_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 ) )
    & ( ! [X70] :
          ( ~ c1_1(X70)
          | ~ c3_1(X70)
          | c2_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c2_1(X71)
          | ~ c1_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c0_1(X72)
          | ~ c1_1(X72)
          | c2_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp41
      | ! [X73] :
          ( c0_1(X73)
          | c3_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp40
      | ! [X74] :
          ( c2_1(X74)
          | c1_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c0_1(X75)
          | c3_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 ) )
    & ( ! [X76] :
          ( c1_1(X76)
          | ~ c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c2_1(X77)
          | c3_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c1_1(X78)
          | ~ c0_1(X78)
          | c3_1(X78)
          | ~ ndr1_0 ) )
    & ( ! [X79] :
          ( ~ c0_1(X79)
          | c1_1(X79)
          | c2_1(X79)
          | ~ ndr1_0 )
      | hskp9
      | hskp8 )
    & ( ! [X80] :
          ( ~ c2_1(X80)
          | ~ c0_1(X80)
          | ~ c1_1(X80)
          | ~ ndr1_0 )
      | hskp39
      | ! [X81] :
          ( ~ c1_1(X81)
          | c2_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( c0_1(X82)
          | c1_1(X82)
          | c2_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c0_1(X83)
          | ~ c1_1(X83)
          | c3_1(X83)
          | ~ ndr1_0 )
      | hskp38 )
    & ( hskp37
      | hskp7
      | ! [X84] :
          ( ~ c0_1(X84)
          | c3_1(X84)
          | c2_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp37
      | hskp34 )
    & ( ! [X85] :
          ( c2_1(X85)
          | c3_1(X85)
          | ~ c1_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c0_1(X86)
          | ~ c2_1(X86)
          | ~ c1_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c2_1(X87)
          | c0_1(X87)
          | c1_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp36
      | hskp35
      | hskp5 )
    & ( hskp4
      | ! [X88] :
          ( c3_1(X88)
          | ~ c1_1(X88)
          | c2_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c2_1(X89)
          | ~ c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X90] :
          ( ~ c2_1(X90)
          | c1_1(X90)
          | c3_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c1_1(X91)
          | ~ c2_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X92] :
          ( c3_1(X92)
          | c2_1(X92)
          | ~ c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c2_1(X93)
          | ~ c3_1(X93)
          | c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c2_1(X94)
          | ~ c0_1(X94)
          | ~ c1_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp34
      | ! [X95] :
          ( ~ c2_1(X95)
          | c1_1(X95)
          | ~ c0_1(X95)
          | ~ ndr1_0 )
      | hskp33 )
    & ( ! [X96] :
          ( c0_1(X96)
          | c1_1(X96)
          | c3_1(X96)
          | ~ ndr1_0 )
      | hskp2
      | hskp32 )
    & ( hskp31
      | hskp30
      | hskp29 )
    & ( ! [X97] :
          ( c0_1(X97)
          | c1_1(X97)
          | c3_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c3_1(X98)
          | c0_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X99] :
          ( ~ c1_1(X99)
          | ~ c2_1(X99)
          | ~ c0_1(X99)
          | ~ ndr1_0 )
      | hskp0
      | ! [X100] :
          ( ~ c1_1(X100)
          | ~ c0_1(X100)
          | ~ c2_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp27
      | ! [X101] :
          ( c2_1(X101)
          | c1_1(X101)
          | c3_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( c0_1(X102)
          | ~ c3_1(X102)
          | ~ c1_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ( c0_1(a2252)
        & ~ c1_1(a2252)
        & ~ c2_1(a2252)
        & ndr1_0 )
      | ~ hskp58 )
    & ( ( c3_1(a2243)
        & c0_1(a2243)
        & c1_1(a2243)
        & ndr1_0 )
      | ~ hskp57 )
    & ( ( c2_1(a2242)
        & ~ c3_1(a2242)
        & ~ c1_1(a2242)
        & ndr1_0 )
      | ~ hskp56 )
    & ( ( c2_1(a2241)
        & c0_1(a2241)
        & c1_1(a2241)
        & ndr1_0 )
      | ~ hskp55 )
    & ( ( c0_1(a2240)
        & c3_1(a2240)
        & c1_1(a2240)
        & ndr1_0 )
      | ~ hskp54 )
    & ( ( c3_1(a2235)
        & c2_1(a2235)
        & c0_1(a2235)
        & ndr1_0 )
      | ~ hskp53 )
    & ( ( c2_1(a2234)
        & c3_1(a2234)
        & c1_1(a2234)
        & ndr1_0 )
      | ~ hskp52 )
    & ( ( c2_1(a2232)
        & c3_1(a2232)
        & c0_1(a2232)
        & ndr1_0 )
      | ~ hskp51 )
    & ( ( c1_1(a2231)
        & c2_1(a2231)
        & ~ c3_1(a2231)
        & ndr1_0 )
      | ~ hskp50 )
    & ( ( c3_1(a2229)
        & ~ c1_1(a2229)
        & c0_1(a2229)
        & ndr1_0 )
      | ~ hskp49 )
    & ( ( c2_1(a2228)
        & c3_1(a2228)
        & ~ c0_1(a2228)
        & ndr1_0 )
      | ~ hskp48 )
    & ( ( c0_1(a2226)
        & ~ c1_1(a2226)
        & c2_1(a2226)
        & ndr1_0 )
      | ~ hskp47 )
    & ( ( c2_1(a2218)
        & ~ c3_1(a2218)
        & c0_1(a2218)
        & ndr1_0 )
      | ~ hskp46 )
    & ( ( c0_1(a2216)
        & c3_1(a2216)
        & c2_1(a2216)
        & ndr1_0 )
      | ~ hskp45 )
    & ( ( c1_1(a2215)
        & c2_1(a2215)
        & ~ c0_1(a2215)
        & ndr1_0 )
      | ~ hskp44 )
    & ( ( c0_1(a2208)
        & c3_1(a2208)
        & ~ c2_1(a2208)
        & ndr1_0 )
      | ~ hskp43 )
    & ( ( c0_1(a2207)
        & ~ c3_1(a2207)
        & c1_1(a2207)
        & ndr1_0 )
      | ~ hskp42 )
    & ( ( c1_1(a2205)
        & ~ c0_1(a2205)
        & c2_1(a2205)
        & ndr1_0 )
      | ~ hskp41 )
    & ( ( c3_1(a2204)
        & ~ c1_1(a2204)
        & c2_1(a2204)
        & ndr1_0 )
      | ~ hskp40 )
    & ( ( c3_1(a2201)
        & ~ c0_1(a2201)
        & ~ c1_1(a2201)
        & ndr1_0 )
      | ~ hskp39 )
    & ( ( c1_1(a2200)
        & ~ c2_1(a2200)
        & ~ c0_1(a2200)
        & ndr1_0 )
      | ~ hskp38 )
    & ( ( c2_1(a2196)
        & ~ c0_1(a2196)
        & c1_1(a2196)
        & ndr1_0 )
      | ~ hskp37 )
    & ( ( c1_1(a2194)
        & ~ c2_1(a2194)
        & c3_1(a2194)
        & ndr1_0 )
      | ~ hskp36 )
    & ( ( c3_1(a2193)
        & ~ c0_1(a2193)
        & c2_1(a2193)
        & ndr1_0 )
      | ~ hskp35 )
    & ( ( c3_1(a2189)
        & c1_1(a2189)
        & ~ c0_1(a2189)
        & ndr1_0 )
      | ~ hskp34 )
    & ( ( c1_1(a2188)
        & ~ c2_1(a2188)
        & ~ c3_1(a2188)
        & ndr1_0 )
      | ~ hskp33 )
    & ( ( c0_1(a2186)
        & ~ c2_1(a2186)
        & ~ c3_1(a2186)
        & ndr1_0 )
      | ~ hskp32 )
    & ( ( c3_1(a2185)
        & ~ c2_1(a2185)
        & c1_1(a2185)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c0_1(a2184)
        & ~ c1_1(a2184)
        & ~ c3_1(a2184)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a2183)
        & c2_1(a2183)
        & ~ c0_1(a2183)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2180)
        & c1_1(a2180)
        & c3_1(a2180)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c0_1(a2179)
        & ~ c2_1(a2179)
        & ~ c1_1(a2179)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c2_1(a2178)
        & c0_1(a2178)
        & ~ c3_1(a2178)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a2249)
        & c2_1(a2249)
        & c3_1(a2249)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a2246)
        & ~ c0_1(a2246)
        & c1_1(a2246)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a2245)
        & c0_1(a2245)
        & c3_1(a2245)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a2244)
        & ~ c2_1(a2244)
        & c0_1(a2244)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a2239)
        & ~ c0_1(a2239)
        & c2_1(a2239)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a2237)
        & c0_1(a2237)
        & c1_1(a2237)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2233)
        & ~ c1_1(a2233)
        & ~ c0_1(a2233)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a2222)
        & c3_1(a2222)
        & c0_1(a2222)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a2221)
        & c2_1(a2221)
        & ~ c0_1(a2221)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2220)
        & ~ c1_1(a2220)
        & ~ c2_1(a2220)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a2217)
        & c1_1(a2217)
        & ~ c3_1(a2217)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a2213)
        & c2_1(a2213)
        & ~ c1_1(a2213)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a2212)
        & c2_1(a2212)
        & c0_1(a2212)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a2211)
        & ~ c1_1(a2211)
        & c2_1(a2211)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a2209)
        & ~ c1_1(a2209)
        & c0_1(a2209)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a2206)
        & ~ c0_1(a2206)
        & ~ c2_1(a2206)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a2203)
        & c0_1(a2203)
        & ~ c1_1(a2203)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a2202)
        & ~ c1_1(a2202)
        & ~ c2_1(a2202)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a2198)
        & c0_1(a2198)
        & c2_1(a2198)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a2197)
        & ~ c3_1(a2197)
        & ~ c0_1(a2197)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a2192)
        & c1_1(a2192)
        & ~ c0_1(a2192)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a2191)
        & ~ c2_1(a2191)
        & c3_1(a2191)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c0_1(a2190)
        & ~ c1_1(a2190)
        & c2_1(a2190)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a2187)
        & c1_1(a2187)
        & c3_1(a2187)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2182)
        & ~ c0_1(a2182)
        & c3_1(a2182)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a2181)
        & ~ c1_1(a2181)
        & ~ c0_1(a2181)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | c1_1(X0)
            | ~ c3_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c1_1(X1)
            | c2_1(X1)
            | ~ c3_1(X1) ) )
      | hskp58 )
    & ( hskp40
      | ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | ~ c2_1(X2)
            | ~ c3_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( ~ c0_1(X3)
            | ~ c3_1(X3)
            | c2_1(X3) ) ) )
    & ( ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c0_1(X4)
            | c3_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c1_1(X5)
            | c0_1(X5)
            | ~ c2_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( ~ c0_1(X6)
            | c2_1(X6)
            | c3_1(X6) ) ) )
    & ( ! [X7] :
          ( ndr1_0
         => ( ~ c0_1(X7)
            | ~ c2_1(X7)
            | c3_1(X7) ) )
      | hskp56
      | ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | c0_1(X8)
            | c3_1(X8) ) ) )
    & ( hskp25
      | ! [X9] :
          ( ndr1_0
         => ( c2_1(X9)
            | c0_1(X9)
            | c3_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c3_1(X10)
            | c0_1(X10) ) ) )
    & ( ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | c1_1(X11)
            | c2_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c2_1(X12)
            | c1_1(X12)
            | ~ c0_1(X12) ) )
      | hskp32 )
    & ( ! [X13] :
          ( ndr1_0
         => ( c1_1(X13)
            | ~ c0_1(X13)
            | c2_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c2_1(X14)
            | ~ c3_1(X14)
            | c1_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c1_1(X15)
            | ~ c2_1(X15)
            | c0_1(X15) ) ) )
    & ( ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | ~ c0_1(X16)
            | c2_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( c3_1(X17)
            | c1_1(X17)
            | c0_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c3_1(X18)
            | c2_1(X18)
            | c1_1(X18) ) ) )
    & ( ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c0_1(X19)
            | ~ c2_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c1_1(X20)
            | c2_1(X20)
            | c0_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | c0_1(X21)
            | c2_1(X21) ) ) )
    & ( ! [X22] :
          ( ndr1_0
         => ( ~ c1_1(X22)
            | c3_1(X22)
            | ~ c2_1(X22) ) )
      | hskp17 )
    & ( ! [X23] :
          ( ndr1_0
         => ( c1_1(X23)
            | ~ c3_1(X23)
            | ~ c0_1(X23) ) )
      | hskp24
      | hskp23 )
    & ( hskp22
      | ! [X24] :
          ( ndr1_0
         => ( c3_1(X24)
            | c0_1(X24)
            | ~ c1_1(X24) ) )
      | hskp57 )
    & ( ! [X25] :
          ( ndr1_0
         => ( ~ c2_1(X25)
            | ~ c0_1(X25)
            | c1_1(X25) ) )
      | hskp56
      | ! [X26] :
          ( ndr1_0
         => ( c2_1(X26)
            | ~ c0_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp55
      | hskp54
      | hskp21 )
    & ( hskp10
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | c2_1(X27)
            | ~ c3_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c1_1(X28)
            | c2_1(X28)
            | ~ c3_1(X28) ) ) )
    & ( ! [X29] :
          ( ndr1_0
         => ( ~ c0_1(X29)
            | c1_1(X29)
            | c3_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | ~ c3_1(X30)
            | ~ c1_1(X30) ) )
      | hskp20 )
    & ( ! [X31] :
          ( ndr1_0
         => ( c1_1(X31)
            | ~ c3_1(X31)
            | c2_1(X31) ) )
      | hskp10
      | ! [X32] :
          ( ndr1_0
         => ( c3_1(X32)
            | ~ c0_1(X32)
            | ~ c2_1(X32) ) ) )
    & ( ! [X33] :
          ( ndr1_0
         => ( c1_1(X33)
            | c2_1(X33)
            | c3_1(X33) ) )
      | hskp53
      | ! [X34] :
          ( ndr1_0
         => ( c1_1(X34)
            | c3_1(X34)
            | ~ c0_1(X34) ) ) )
    & ( hskp52
      | hskp19
      | ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | ~ c2_1(X35)
            | c3_1(X35) ) ) )
    & ( ! [X36] :
          ( ndr1_0
         => ( ~ c0_1(X36)
            | c3_1(X36)
            | ~ c1_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | c0_1(X37)
            | c3_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | ~ c1_1(X38)
            | ~ c3_1(X38) ) ) )
    & ( ! [X39] :
          ( ndr1_0
         => ( ~ c2_1(X39)
            | c0_1(X39)
            | ~ c1_1(X39) ) )
      | hskp51
      | hskp50 )
    & ( hskp31
      | hskp49
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | c1_1(X40)
            | c0_1(X40) ) ) )
    & ( hskp48
      | ! [X41] :
          ( ndr1_0
         => ( ~ c1_1(X41)
            | c0_1(X41)
            | ~ c2_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | ~ c3_1(X42)
            | ~ c1_1(X42) ) ) )
    & ( ! [X43] :
          ( ndr1_0
         => ( c2_1(X43)
            | ~ c1_1(X43)
            | c3_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( c2_1(X44)
            | c3_1(X44)
            | ~ c1_1(X44) ) )
      | hskp18 )
    & ( ! [X45] :
          ( ndr1_0
         => ( c3_1(X45)
            | c2_1(X45)
            | c1_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c2_1(X46)
            | c0_1(X46)
            | ~ c3_1(X46) ) )
      | hskp47 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | ~ c1_1(X47)
            | c2_1(X47) ) )
      | hskp33
      | ! [X48] :
          ( ndr1_0
         => ( c3_1(X48)
            | ~ c0_1(X48)
            | c1_1(X48) ) ) )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | ~ c1_1(X49)
            | ~ c2_1(X49) ) )
      | hskp33
      | ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | ~ c3_1(X50)
            | ~ c1_1(X50) ) ) )
    & ( hskp31
      | ! [X51] :
          ( ndr1_0
         => ( c3_1(X51)
            | ~ c2_1(X51)
            | ~ c1_1(X51) ) )
      | hskp18 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c1_1(X52)
            | ~ c2_1(X52)
            | c0_1(X52) ) )
      | hskp17
      | hskp16 )
    & ( ! [X53] :
          ( ndr1_0
         => ( c3_1(X53)
            | c2_1(X53)
            | c1_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c0_1(X54)
            | c2_1(X54)
            | c3_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c0_1(X55)
            | c2_1(X55)
            | ~ c3_1(X55) ) ) )
    & ( hskp34
      | hskp46
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | c1_1(X56)
            | ~ c0_1(X56) ) ) )
    & ( ! [X57] :
          ( ndr1_0
         => ( c1_1(X57)
            | ~ c2_1(X57)
            | ~ c3_1(X57) ) )
      | hskp15
      | hskp45 )
    & ( ! [X58] :
          ( ndr1_0
         => ( ~ c0_1(X58)
            | ~ c3_1(X58)
            | c1_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c0_1(X59)
            | c2_1(X59)
            | ~ c3_1(X59) ) )
      | hskp44 )
    & ( ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | c1_1(X60)
            | ~ c2_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | c0_1(X61)
            | c1_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c2_1(X62)
            | c3_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp4
      | ! [X63] :
          ( ndr1_0
         => ( c2_1(X63)
            | c3_1(X63)
            | ~ c0_1(X63) ) )
      | hskp14 )
    & ( ! [X64] :
          ( ndr1_0
         => ( ~ c1_1(X64)
            | c0_1(X64)
            | ~ c3_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | ~ c3_1(X65)
            | ~ c0_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( c0_1(X66)
            | ~ c2_1(X66)
            | c3_1(X66) ) ) )
    & ( ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | c3_1(X67)
            | ~ c0_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | c1_1(X68)
            | c0_1(X68) ) )
      | hskp13 )
    & ( hskp12
      | hskp3
      | hskp11 )
    & ( hskp43
      | hskp42
      | ! [X69] :
          ( ndr1_0
         => ( c0_1(X69)
            | c3_1(X69)
            | c1_1(X69) ) ) )
    & ( ! [X70] :
          ( ndr1_0
         => ( ~ c1_1(X70)
            | ~ c3_1(X70)
            | c2_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( c2_1(X71)
            | ~ c1_1(X71)
            | ~ c0_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c0_1(X72)
            | ~ c1_1(X72)
            | c2_1(X72) ) ) )
    & ( hskp10
      | hskp41
      | ! [X73] :
          ( ndr1_0
         => ( c0_1(X73)
            | c3_1(X73)
            | ~ c2_1(X73) ) ) )
    & ( hskp40
      | ! [X74] :
          ( ndr1_0
         => ( c2_1(X74)
            | c1_1(X74)
            | ~ c3_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c0_1(X75)
            | c3_1(X75)
            | c1_1(X75) ) ) )
    & ( ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | ~ c2_1(X76)
            | c0_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c2_1(X77)
            | c3_1(X77)
            | ~ c0_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | ~ c0_1(X78)
            | c3_1(X78) ) ) )
    & ( ! [X79] :
          ( ndr1_0
         => ( ~ c0_1(X79)
            | c1_1(X79)
            | c2_1(X79) ) )
      | hskp9
      | hskp8 )
    & ( ! [X80] :
          ( ndr1_0
         => ( ~ c2_1(X80)
            | ~ c0_1(X80)
            | ~ c1_1(X80) ) )
      | hskp39
      | ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | c2_1(X81)
            | ~ c0_1(X81) ) ) )
    & ( ! [X82] :
          ( ndr1_0
         => ( c0_1(X82)
            | c1_1(X82)
            | c2_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c0_1(X83)
            | ~ c1_1(X83)
            | c3_1(X83) ) )
      | hskp38 )
    & ( hskp37
      | hskp7
      | ! [X84] :
          ( ndr1_0
         => ( ~ c0_1(X84)
            | c3_1(X84)
            | c2_1(X84) ) ) )
    & ( hskp6
      | hskp37
      | hskp34 )
    & ( ! [X85] :
          ( ndr1_0
         => ( c2_1(X85)
            | c3_1(X85)
            | ~ c1_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c0_1(X86)
            | ~ c2_1(X86)
            | ~ c1_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( c2_1(X87)
            | c0_1(X87)
            | c1_1(X87) ) ) )
    & ( hskp36
      | hskp35
      | hskp5 )
    & ( hskp4
      | ! [X88] :
          ( ndr1_0
         => ( c3_1(X88)
            | ~ c1_1(X88)
            | c2_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c2_1(X89)
            | ~ c1_1(X89)
            | c0_1(X89) ) ) )
    & ( hskp3
      | ! [X90] :
          ( ndr1_0
         => ( ~ c2_1(X90)
            | c1_1(X90)
            | c3_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( c1_1(X91)
            | ~ c2_1(X91)
            | ~ c3_1(X91) ) ) )
    & ( ! [X92] :
          ( ndr1_0
         => ( c3_1(X92)
            | c2_1(X92)
            | ~ c0_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( c2_1(X93)
            | ~ c3_1(X93)
            | c1_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( ~ c2_1(X94)
            | ~ c0_1(X94)
            | ~ c1_1(X94) ) ) )
    & ( hskp34
      | ! [X95] :
          ( ndr1_0
         => ( ~ c2_1(X95)
            | c1_1(X95)
            | ~ c0_1(X95) ) )
      | hskp33 )
    & ( ! [X96] :
          ( ndr1_0
         => ( c0_1(X96)
            | c1_1(X96)
            | c3_1(X96) ) )
      | hskp2
      | hskp32 )
    & ( hskp31
      | hskp30
      | hskp29 )
    & ( ! [X97] :
          ( ndr1_0
         => ( c0_1(X97)
            | c1_1(X97)
            | c3_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( c3_1(X98)
            | c0_1(X98)
            | ~ c1_1(X98) ) )
      | hskp1 )
    & ( ! [X99] :
          ( ndr1_0
         => ( ~ c1_1(X99)
            | ~ c2_1(X99)
            | ~ c0_1(X99) ) )
      | hskp0
      | ! [X100] :
          ( ndr1_0
         => ( ~ c1_1(X100)
            | ~ c0_1(X100)
            | ~ c2_1(X100) ) ) )
    & ( hskp28
      | hskp27
      | ! [X101] :
          ( ndr1_0
         => ( c2_1(X101)
            | c1_1(X101)
            | c3_1(X101) ) ) )
    & ( ! [X102] :
          ( ndr1_0
         => ( c0_1(X102)
            | ~ c3_1(X102)
            | ~ c1_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c2_1(X103)
            | c1_1(X103)
            | c0_1(X103) ) )
      | hskp26 )
    & ( ( c0_1(a2252)
        & ~ c1_1(a2252)
        & ~ c2_1(a2252)
        & ndr1_0 )
      | ~ hskp58 )
    & ( ( c3_1(a2243)
        & c0_1(a2243)
        & c1_1(a2243)
        & ndr1_0 )
      | ~ hskp57 )
    & ( ( c2_1(a2242)
        & ~ c3_1(a2242)
        & ~ c1_1(a2242)
        & ndr1_0 )
      | ~ hskp56 )
    & ( ( c2_1(a2241)
        & c0_1(a2241)
        & c1_1(a2241)
        & ndr1_0 )
      | ~ hskp55 )
    & ( ( c0_1(a2240)
        & c3_1(a2240)
        & c1_1(a2240)
        & ndr1_0 )
      | ~ hskp54 )
    & ( ( c3_1(a2235)
        & c2_1(a2235)
        & c0_1(a2235)
        & ndr1_0 )
      | ~ hskp53 )
    & ( ( c2_1(a2234)
        & c3_1(a2234)
        & c1_1(a2234)
        & ndr1_0 )
      | ~ hskp52 )
    & ( ( c2_1(a2232)
        & c3_1(a2232)
        & c0_1(a2232)
        & ndr1_0 )
      | ~ hskp51 )
    & ( ( c1_1(a2231)
        & c2_1(a2231)
        & ~ c3_1(a2231)
        & ndr1_0 )
      | ~ hskp50 )
    & ( ( c3_1(a2229)
        & ~ c1_1(a2229)
        & c0_1(a2229)
        & ndr1_0 )
      | ~ hskp49 )
    & ( ( c2_1(a2228)
        & c3_1(a2228)
        & ~ c0_1(a2228)
        & ndr1_0 )
      | ~ hskp48 )
    & ( ( c0_1(a2226)
        & ~ c1_1(a2226)
        & c2_1(a2226)
        & ndr1_0 )
      | ~ hskp47 )
    & ( ( c2_1(a2218)
        & ~ c3_1(a2218)
        & c0_1(a2218)
        & ndr1_0 )
      | ~ hskp46 )
    & ( ( c0_1(a2216)
        & c3_1(a2216)
        & c2_1(a2216)
        & ndr1_0 )
      | ~ hskp45 )
    & ( ( c1_1(a2215)
        & c2_1(a2215)
        & ~ c0_1(a2215)
        & ndr1_0 )
      | ~ hskp44 )
    & ( ( c0_1(a2208)
        & c3_1(a2208)
        & ~ c2_1(a2208)
        & ndr1_0 )
      | ~ hskp43 )
    & ( ( c0_1(a2207)
        & ~ c3_1(a2207)
        & c1_1(a2207)
        & ndr1_0 )
      | ~ hskp42 )
    & ( ( c1_1(a2205)
        & ~ c0_1(a2205)
        & c2_1(a2205)
        & ndr1_0 )
      | ~ hskp41 )
    & ( ( c3_1(a2204)
        & ~ c1_1(a2204)
        & c2_1(a2204)
        & ndr1_0 )
      | ~ hskp40 )
    & ( ( c3_1(a2201)
        & ~ c0_1(a2201)
        & ~ c1_1(a2201)
        & ndr1_0 )
      | ~ hskp39 )
    & ( ( c1_1(a2200)
        & ~ c2_1(a2200)
        & ~ c0_1(a2200)
        & ndr1_0 )
      | ~ hskp38 )
    & ( ( c2_1(a2196)
        & ~ c0_1(a2196)
        & c1_1(a2196)
        & ndr1_0 )
      | ~ hskp37 )
    & ( ( c1_1(a2194)
        & ~ c2_1(a2194)
        & c3_1(a2194)
        & ndr1_0 )
      | ~ hskp36 )
    & ( ( c3_1(a2193)
        & ~ c0_1(a2193)
        & c2_1(a2193)
        & ndr1_0 )
      | ~ hskp35 )
    & ( ( c3_1(a2189)
        & c1_1(a2189)
        & ~ c0_1(a2189)
        & ndr1_0 )
      | ~ hskp34 )
    & ( ( c1_1(a2188)
        & ~ c2_1(a2188)
        & ~ c3_1(a2188)
        & ndr1_0 )
      | ~ hskp33 )
    & ( ( c0_1(a2186)
        & ~ c2_1(a2186)
        & ~ c3_1(a2186)
        & ndr1_0 )
      | ~ hskp32 )
    & ( ( c3_1(a2185)
        & ~ c2_1(a2185)
        & c1_1(a2185)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c0_1(a2184)
        & ~ c1_1(a2184)
        & ~ c3_1(a2184)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a2183)
        & c2_1(a2183)
        & ~ c0_1(a2183)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2180)
        & c1_1(a2180)
        & c3_1(a2180)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c0_1(a2179)
        & ~ c2_1(a2179)
        & ~ c1_1(a2179)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c2_1(a2178)
        & c0_1(a2178)
        & ~ c3_1(a2178)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a2249)
        & c2_1(a2249)
        & c3_1(a2249)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a2246)
        & ~ c0_1(a2246)
        & c1_1(a2246)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a2245)
        & c0_1(a2245)
        & c3_1(a2245)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a2244)
        & ~ c2_1(a2244)
        & c0_1(a2244)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a2239)
        & ~ c0_1(a2239)
        & c2_1(a2239)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a2237)
        & c0_1(a2237)
        & c1_1(a2237)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2233)
        & ~ c1_1(a2233)
        & ~ c0_1(a2233)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a2222)
        & c3_1(a2222)
        & c0_1(a2222)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a2221)
        & c2_1(a2221)
        & ~ c0_1(a2221)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2220)
        & ~ c1_1(a2220)
        & ~ c2_1(a2220)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a2217)
        & c1_1(a2217)
        & ~ c3_1(a2217)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a2213)
        & c2_1(a2213)
        & ~ c1_1(a2213)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a2212)
        & c2_1(a2212)
        & c0_1(a2212)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a2211)
        & ~ c1_1(a2211)
        & c2_1(a2211)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a2209)
        & ~ c1_1(a2209)
        & c0_1(a2209)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a2206)
        & ~ c0_1(a2206)
        & ~ c2_1(a2206)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a2203)
        & c0_1(a2203)
        & ~ c1_1(a2203)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a2202)
        & ~ c1_1(a2202)
        & ~ c2_1(a2202)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a2198)
        & c0_1(a2198)
        & c2_1(a2198)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a2197)
        & ~ c3_1(a2197)
        & ~ c0_1(a2197)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a2192)
        & c1_1(a2192)
        & ~ c0_1(a2192)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a2191)
        & ~ c2_1(a2191)
        & c3_1(a2191)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c0_1(a2190)
        & ~ c1_1(a2190)
        & c2_1(a2190)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a2187)
        & c1_1(a2187)
        & c3_1(a2187)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2182)
        & ~ c0_1(a2182)
        & c3_1(a2182)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a2181)
        & ~ c1_1(a2181)
        & ~ c0_1(a2181)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | ~ c3_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c1_1(X1)
                | c2_1(X1)
                | ~ c3_1(X1) ) )
          | hskp58 )
        & ( hskp40
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | ~ c2_1(X2)
                | ~ c3_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c0_1(X3)
                | ~ c3_1(X3)
                | c2_1(X3) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c0_1(X4)
                | c3_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c1_1(X5)
                | c0_1(X5)
                | ~ c2_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c0_1(X6)
                | c2_1(X6)
                | c3_1(X6) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( ~ c0_1(X7)
                | ~ c2_1(X7)
                | c3_1(X7) ) )
          | hskp56
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c0_1(X8)
                | c3_1(X8) ) ) )
        & ( hskp25
          | ! [X9] :
              ( ndr1_0
             => ( c2_1(X9)
                | c0_1(X9)
                | c3_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c3_1(X10)
                | c0_1(X10) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | c1_1(X11)
                | c2_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | c1_1(X12)
                | ~ c0_1(X12) ) )
          | hskp32 )
        & ( ! [X13] :
              ( ndr1_0
             => ( c1_1(X13)
                | ~ c0_1(X13)
                | c2_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c3_1(X14)
                | c1_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c1_1(X15)
                | ~ c2_1(X15)
                | c0_1(X15) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c0_1(X16)
                | c2_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | c2_1(X18)
                | c1_1(X18) ) ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c0_1(X19)
                | ~ c2_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c1_1(X20)
                | c2_1(X20)
                | c0_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | c0_1(X21)
                | c2_1(X21) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c1_1(X22)
                | c3_1(X22)
                | ~ c2_1(X22) ) )
          | hskp17 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c1_1(X23)
                | ~ c3_1(X23)
                | ~ c0_1(X23) ) )
          | hskp24
          | hskp23 )
        & ( hskp22
          | ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | c0_1(X24)
                | ~ c1_1(X24) ) )
          | hskp57 )
        & ( ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | ~ c0_1(X25)
                | c1_1(X25) ) )
          | hskp56
          | ! [X26] :
              ( ndr1_0
             => ( c2_1(X26)
                | ~ c0_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp55
          | hskp54
          | hskp21 )
        & ( hskp10
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | c2_1(X27)
                | ~ c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c2_1(X28)
                | ~ c3_1(X28) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | c1_1(X29)
                | c3_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | ~ c3_1(X30)
                | ~ c1_1(X30) ) )
          | hskp20 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c1_1(X31)
                | ~ c3_1(X31)
                | c2_1(X31) ) )
          | hskp10
          | ! [X32] :
              ( ndr1_0
             => ( c3_1(X32)
                | ~ c0_1(X32)
                | ~ c2_1(X32) ) ) )
        & ( ! [X33] :
              ( ndr1_0
             => ( c1_1(X33)
                | c2_1(X33)
                | c3_1(X33) ) )
          | hskp53
          | ! [X34] :
              ( ndr1_0
             => ( c1_1(X34)
                | c3_1(X34)
                | ~ c0_1(X34) ) ) )
        & ( hskp52
          | hskp19
          | ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | ~ c2_1(X35)
                | c3_1(X35) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c0_1(X36)
                | c3_1(X36)
                | ~ c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | c0_1(X37)
                | c3_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | ~ c1_1(X38)
                | ~ c3_1(X38) ) ) )
        & ( ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | c0_1(X39)
                | ~ c1_1(X39) ) )
          | hskp51
          | hskp50 )
        & ( hskp31
          | hskp49
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c1_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp48
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | c0_1(X41)
                | ~ c2_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | ~ c3_1(X42)
                | ~ c1_1(X42) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( c2_1(X43)
                | ~ c1_1(X43)
                | c3_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c2_1(X44)
                | c3_1(X44)
                | ~ c1_1(X44) ) )
          | hskp18 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c3_1(X45)
                | c2_1(X45)
                | c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c2_1(X46)
                | c0_1(X46)
                | ~ c3_1(X46) ) )
          | hskp47 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | ~ c1_1(X47)
                | c2_1(X47) ) )
          | hskp33
          | ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | ~ c0_1(X48)
                | c1_1(X48) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | ~ c1_1(X49)
                | ~ c2_1(X49) ) )
          | hskp33
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c3_1(X50)
                | ~ c1_1(X50) ) ) )
        & ( hskp31
          | ! [X51] :
              ( ndr1_0
             => ( c3_1(X51)
                | ~ c2_1(X51)
                | ~ c1_1(X51) ) )
          | hskp18 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c1_1(X52)
                | ~ c2_1(X52)
                | c0_1(X52) ) )
          | hskp17
          | hskp16 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c3_1(X53)
                | c2_1(X53)
                | c1_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | c2_1(X54)
                | c3_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | c2_1(X55)
                | ~ c3_1(X55) ) ) )
        & ( hskp34
          | hskp46
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | c1_1(X56)
                | ~ c0_1(X56) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | ~ c2_1(X57)
                | ~ c3_1(X57) ) )
          | hskp15
          | hskp45 )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c0_1(X58)
                | ~ c3_1(X58)
                | c1_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | c2_1(X59)
                | ~ c3_1(X59) ) )
          | hskp44 )
        & ( ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | c1_1(X60)
                | ~ c2_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | c0_1(X61)
                | c1_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | c3_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp4
          | ! [X63] :
              ( ndr1_0
             => ( c2_1(X63)
                | c3_1(X63)
                | ~ c0_1(X63) ) )
          | hskp14 )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | c0_1(X64)
                | ~ c3_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c3_1(X65)
                | ~ c0_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c0_1(X66)
                | ~ c2_1(X66)
                | c3_1(X66) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | c3_1(X67)
                | ~ c0_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c1_1(X68)
                | c0_1(X68) ) )
          | hskp13 )
        & ( hskp12
          | hskp3
          | hskp11 )
        & ( hskp43
          | hskp42
          | ! [X69] :
              ( ndr1_0
             => ( c0_1(X69)
                | c3_1(X69)
                | c1_1(X69) ) ) )
        & ( ! [X70] :
              ( ndr1_0
             => ( ~ c1_1(X70)
                | ~ c3_1(X70)
                | c2_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c2_1(X71)
                | ~ c1_1(X71)
                | ~ c0_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c0_1(X72)
                | ~ c1_1(X72)
                | c2_1(X72) ) ) )
        & ( hskp10
          | hskp41
          | ! [X73] :
              ( ndr1_0
             => ( c0_1(X73)
                | c3_1(X73)
                | ~ c2_1(X73) ) ) )
        & ( hskp40
          | ! [X74] :
              ( ndr1_0
             => ( c2_1(X74)
                | c1_1(X74)
                | ~ c3_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | c3_1(X75)
                | c1_1(X75) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | ~ c2_1(X76)
                | c0_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | c3_1(X77)
                | ~ c0_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | ~ c0_1(X78)
                | c3_1(X78) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c1_1(X79)
                | c2_1(X79) ) )
          | hskp9
          | hskp8 )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | ~ c0_1(X80)
                | ~ c1_1(X80) ) )
          | hskp39
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | c2_1(X81)
                | ~ c0_1(X81) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( c0_1(X82)
                | c1_1(X82)
                | c2_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | ~ c1_1(X83)
                | c3_1(X83) ) )
          | hskp38 )
        & ( hskp37
          | hskp7
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | c3_1(X84)
                | c2_1(X84) ) ) )
        & ( hskp6
          | hskp37
          | hskp34 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c2_1(X85)
                | c3_1(X85)
                | ~ c1_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | ~ c2_1(X86)
                | ~ c1_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c2_1(X87)
                | c0_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp36
          | hskp35
          | hskp5 )
        & ( hskp4
          | ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | ~ c1_1(X88)
                | c2_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c1_1(X89)
                | c0_1(X89) ) ) )
        & ( hskp3
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | c1_1(X90)
                | c3_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | ~ c2_1(X91)
                | ~ c3_1(X91) ) ) )
        & ( ! [X92] :
              ( ndr1_0
             => ( c3_1(X92)
                | c2_1(X92)
                | ~ c0_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( c2_1(X93)
                | ~ c3_1(X93)
                | c1_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | ~ c0_1(X94)
                | ~ c1_1(X94) ) ) )
        & ( hskp34
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | c1_1(X95)
                | ~ c0_1(X95) ) )
          | hskp33 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c0_1(X96)
                | c1_1(X96)
                | c3_1(X96) ) )
          | hskp2
          | hskp32 )
        & ( hskp31
          | hskp30
          | hskp29 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c0_1(X97)
                | c1_1(X97)
                | c3_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( c3_1(X98)
                | c0_1(X98)
                | ~ c1_1(X98) ) )
          | hskp1 )
        & ( ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | ~ c2_1(X99)
                | ~ c0_1(X99) ) )
          | hskp0
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | ~ c0_1(X100)
                | ~ c2_1(X100) ) ) )
        & ( hskp28
          | hskp27
          | ! [X101] :
              ( ndr1_0
             => ( c2_1(X101)
                | c1_1(X101)
                | c3_1(X101) ) ) )
        & ( ! [X102] :
              ( ndr1_0
             => ( c0_1(X102)
                | ~ c3_1(X102)
                | ~ c1_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | c1_1(X103)
                | c0_1(X103) ) )
          | hskp26 )
        & ( ( c0_1(a2252)
            & ~ c1_1(a2252)
            & ~ c2_1(a2252)
            & ndr1_0 )
          | ~ hskp58 )
        & ( ( c3_1(a2243)
            & c0_1(a2243)
            & c1_1(a2243)
            & ndr1_0 )
          | ~ hskp57 )
        & ( ( c2_1(a2242)
            & ~ c3_1(a2242)
            & ~ c1_1(a2242)
            & ndr1_0 )
          | ~ hskp56 )
        & ( ( c2_1(a2241)
            & c0_1(a2241)
            & c1_1(a2241)
            & ndr1_0 )
          | ~ hskp55 )
        & ( ( c0_1(a2240)
            & c3_1(a2240)
            & c1_1(a2240)
            & ndr1_0 )
          | ~ hskp54 )
        & ( ( c3_1(a2235)
            & c2_1(a2235)
            & c0_1(a2235)
            & ndr1_0 )
          | ~ hskp53 )
        & ( ( c2_1(a2234)
            & c3_1(a2234)
            & c1_1(a2234)
            & ndr1_0 )
          | ~ hskp52 )
        & ( ( c2_1(a2232)
            & c3_1(a2232)
            & c0_1(a2232)
            & ndr1_0 )
          | ~ hskp51 )
        & ( ( c1_1(a2231)
            & c2_1(a2231)
            & ~ c3_1(a2231)
            & ndr1_0 )
          | ~ hskp50 )
        & ( ( c3_1(a2229)
            & ~ c1_1(a2229)
            & c0_1(a2229)
            & ndr1_0 )
          | ~ hskp49 )
        & ( ( c2_1(a2228)
            & c3_1(a2228)
            & ~ c0_1(a2228)
            & ndr1_0 )
          | ~ hskp48 )
        & ( ( c0_1(a2226)
            & ~ c1_1(a2226)
            & c2_1(a2226)
            & ndr1_0 )
          | ~ hskp47 )
        & ( ( c2_1(a2218)
            & ~ c3_1(a2218)
            & c0_1(a2218)
            & ndr1_0 )
          | ~ hskp46 )
        & ( ( c0_1(a2216)
            & c3_1(a2216)
            & c2_1(a2216)
            & ndr1_0 )
          | ~ hskp45 )
        & ( ( c1_1(a2215)
            & c2_1(a2215)
            & ~ c0_1(a2215)
            & ndr1_0 )
          | ~ hskp44 )
        & ( ( c0_1(a2208)
            & c3_1(a2208)
            & ~ c2_1(a2208)
            & ndr1_0 )
          | ~ hskp43 )
        & ( ( c0_1(a2207)
            & ~ c3_1(a2207)
            & c1_1(a2207)
            & ndr1_0 )
          | ~ hskp42 )
        & ( ( c1_1(a2205)
            & ~ c0_1(a2205)
            & c2_1(a2205)
            & ndr1_0 )
          | ~ hskp41 )
        & ( ( c3_1(a2204)
            & ~ c1_1(a2204)
            & c2_1(a2204)
            & ndr1_0 )
          | ~ hskp40 )
        & ( ( c3_1(a2201)
            & ~ c0_1(a2201)
            & ~ c1_1(a2201)
            & ndr1_0 )
          | ~ hskp39 )
        & ( ( c1_1(a2200)
            & ~ c2_1(a2200)
            & ~ c0_1(a2200)
            & ndr1_0 )
          | ~ hskp38 )
        & ( ( c2_1(a2196)
            & ~ c0_1(a2196)
            & c1_1(a2196)
            & ndr1_0 )
          | ~ hskp37 )
        & ( ( c1_1(a2194)
            & ~ c2_1(a2194)
            & c3_1(a2194)
            & ndr1_0 )
          | ~ hskp36 )
        & ( ( c3_1(a2193)
            & ~ c0_1(a2193)
            & c2_1(a2193)
            & ndr1_0 )
          | ~ hskp35 )
        & ( ( c3_1(a2189)
            & c1_1(a2189)
            & ~ c0_1(a2189)
            & ndr1_0 )
          | ~ hskp34 )
        & ( ( c1_1(a2188)
            & ~ c2_1(a2188)
            & ~ c3_1(a2188)
            & ndr1_0 )
          | ~ hskp33 )
        & ( ( c0_1(a2186)
            & ~ c2_1(a2186)
            & ~ c3_1(a2186)
            & ndr1_0 )
          | ~ hskp32 )
        & ( ( c3_1(a2185)
            & ~ c2_1(a2185)
            & c1_1(a2185)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c0_1(a2184)
            & ~ c1_1(a2184)
            & ~ c3_1(a2184)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a2183)
            & c2_1(a2183)
            & ~ c0_1(a2183)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a2180)
            & c1_1(a2180)
            & c3_1(a2180)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c0_1(a2179)
            & ~ c2_1(a2179)
            & ~ c1_1(a2179)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c2_1(a2178)
            & c0_1(a2178)
            & ~ c3_1(a2178)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c0_1(a2249)
            & c2_1(a2249)
            & c3_1(a2249)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a2246)
            & ~ c0_1(a2246)
            & c1_1(a2246)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a2245)
            & c0_1(a2245)
            & c3_1(a2245)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c1_1(a2244)
            & ~ c2_1(a2244)
            & c0_1(a2244)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a2239)
            & ~ c0_1(a2239)
            & c2_1(a2239)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a2237)
            & c0_1(a2237)
            & c1_1(a2237)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a2233)
            & ~ c1_1(a2233)
            & ~ c0_1(a2233)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a2222)
            & c3_1(a2222)
            & c0_1(a2222)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a2221)
            & c2_1(a2221)
            & ~ c0_1(a2221)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a2220)
            & ~ c1_1(a2220)
            & ~ c2_1(a2220)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c0_1(a2217)
            & c1_1(a2217)
            & ~ c3_1(a2217)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c0_1(a2213)
            & c2_1(a2213)
            & ~ c1_1(a2213)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a2212)
            & c2_1(a2212)
            & c0_1(a2212)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a2211)
            & ~ c1_1(a2211)
            & c2_1(a2211)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a2209)
            & ~ c1_1(a2209)
            & c0_1(a2209)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a2206)
            & ~ c0_1(a2206)
            & ~ c2_1(a2206)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a2203)
            & c0_1(a2203)
            & ~ c1_1(a2203)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c0_1(a2202)
            & ~ c1_1(a2202)
            & ~ c2_1(a2202)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a2198)
            & c0_1(a2198)
            & c2_1(a2198)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c1_1(a2197)
            & ~ c3_1(a2197)
            & ~ c0_1(a2197)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a2192)
            & c1_1(a2192)
            & ~ c0_1(a2192)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a2191)
            & ~ c2_1(a2191)
            & c3_1(a2191)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c0_1(a2190)
            & ~ c1_1(a2190)
            & c2_1(a2190)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a2187)
            & c1_1(a2187)
            & c3_1(a2187)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a2182)
            & ~ c0_1(a2182)
            & c3_1(a2182)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a2181)
            & ~ c1_1(a2181)
            & ~ c0_1(a2181)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ! [X103] :
              ( ndr1_0
             => ( c2_1(X103)
                | c1_1(X103)
                | ~ c3_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( c1_1(X102)
                | c2_1(X102)
                | ~ c3_1(X102) ) )
          | hskp58 )
        & ( hskp40
          | ! [X101] :
              ( ndr1_0
             => ( c0_1(X101)
                | ~ c2_1(X101)
                | ~ c3_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c0_1(X100)
                | ~ c3_1(X100)
                | c2_1(X100) ) ) )
        & ( ! [X99] :
              ( ndr1_0
             => ( ~ c2_1(X99)
                | ~ c0_1(X99)
                | c3_1(X99) ) )
          | ! [X98] :
              ( ndr1_0
             => ( c1_1(X98)
                | c0_1(X98)
                | ~ c2_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | c2_1(X97)
                | c3_1(X97) ) ) )
        & ( ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | ~ c2_1(X96)
                | c3_1(X96) ) )
          | hskp56
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | c0_1(X95)
                | c3_1(X95) ) ) )
        & ( hskp25
          | ! [X94] :
              ( ndr1_0
             => ( c2_1(X94)
                | c0_1(X94)
                | c3_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | ~ c3_1(X93)
                | c0_1(X93) ) ) )
        & ( ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | c1_1(X92)
                | c2_1(X92) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | c1_1(X91)
                | ~ c0_1(X91) ) )
          | hskp32 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | ~ c0_1(X90)
                | c2_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c3_1(X89)
                | c1_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | ~ c2_1(X88)
                | c0_1(X88) ) ) )
        & ( ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c0_1(X87)
                | c2_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | c1_1(X86)
                | c0_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | c2_1(X85)
                | c1_1(X85) ) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c0_1(X84)
                | ~ c2_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | c2_1(X83)
                | c0_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c0_1(X82)
                | c2_1(X82) ) ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | c3_1(X81)
                | ~ c2_1(X81) ) )
          | hskp17 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | ~ c3_1(X80)
                | ~ c0_1(X80) ) )
          | hskp24
          | hskp23 )
        & ( hskp22
          | ! [X79] :
              ( ndr1_0
             => ( c3_1(X79)
                | c0_1(X79)
                | ~ c1_1(X79) ) )
          | hskp57 )
        & ( ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | ~ c0_1(X78)
                | c1_1(X78) ) )
          | hskp56
          | ! [X77] :
              ( ndr1_0
             => ( c2_1(X77)
                | ~ c0_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp55
          | hskp54
          | hskp21 )
        & ( hskp10
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | c2_1(X76)
                | ~ c3_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | c2_1(X75)
                | ~ c3_1(X75) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c1_1(X74)
                | c3_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c3_1(X73)
                | ~ c1_1(X73) ) )
          | hskp20 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | ~ c3_1(X72)
                | c2_1(X72) ) )
          | hskp10
          | ! [X71] :
              ( ndr1_0
             => ( c3_1(X71)
                | ~ c0_1(X71)
                | ~ c2_1(X71) ) ) )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | c3_1(X70) ) )
          | hskp53
          | ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | c3_1(X69)
                | ~ c0_1(X69) ) ) )
        & ( hskp52
          | hskp19
          | ! [X68] :
              ( ndr1_0
             => ( c0_1(X68)
                | ~ c2_1(X68)
                | c3_1(X68) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c3_1(X67)
                | ~ c1_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | c0_1(X66)
                | c3_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c1_1(X65)
                | ~ c3_1(X65) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | c0_1(X64)
                | ~ c1_1(X64) ) )
          | hskp51
          | hskp50 )
        & ( hskp31
          | hskp49
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | c1_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp48
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | c0_1(X62)
                | ~ c2_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c3_1(X61)
                | ~ c1_1(X61) ) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( c2_1(X60)
                | ~ c1_1(X60)
                | c3_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c2_1(X59)
                | c3_1(X59)
                | ~ c1_1(X59) ) )
          | hskp18 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c3_1(X58)
                | c2_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c2_1(X57)
                | c0_1(X57)
                | ~ c3_1(X57) ) )
          | hskp47 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c1_1(X56)
                | c2_1(X56) ) )
          | hskp33
          | ! [X55] :
              ( ndr1_0
             => ( c3_1(X55)
                | ~ c0_1(X55)
                | c1_1(X55) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | ~ c1_1(X54)
                | ~ c2_1(X54) ) )
          | hskp33
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | ~ c3_1(X53)
                | ~ c1_1(X53) ) ) )
        & ( hskp31
          | ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | ~ c2_1(X52)
                | ~ c1_1(X52) ) )
          | hskp18 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | ~ c2_1(X51)
                | c0_1(X51) ) )
          | hskp17
          | hskp16 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c3_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c2_1(X49)
                | c3_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c0_1(X48)
                | c2_1(X48)
                | ~ c3_1(X48) ) ) )
        & ( hskp34
          | hskp46
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | c1_1(X47)
                | ~ c0_1(X47) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | ~ c2_1(X46)
                | ~ c3_1(X46) ) )
          | hskp15
          | hskp45 )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c0_1(X45)
                | ~ c3_1(X45)
                | c1_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | c2_1(X44)
                | ~ c3_1(X44) ) )
          | hskp44 )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c1_1(X43)
                | ~ c2_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | c0_1(X42)
                | c1_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | c3_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp4
          | ! [X40] :
              ( ndr1_0
             => ( c2_1(X40)
                | c3_1(X40)
                | ~ c0_1(X40) ) )
          | hskp14 )
        & ( ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c0_1(X39)
                | ~ c3_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | ~ c3_1(X38)
                | ~ c0_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | ~ c2_1(X37)
                | c3_1(X37) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( c1_1(X36)
                | c3_1(X36)
                | ~ c0_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | c1_1(X35)
                | c0_1(X35) ) )
          | hskp13 )
        & ( hskp12
          | hskp3
          | hskp11 )
        & ( hskp43
          | hskp42
          | ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c3_1(X34)
                | c1_1(X34) ) ) )
        & ( ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | ~ c3_1(X33)
                | c2_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c2_1(X32)
                | ~ c1_1(X32)
                | ~ c0_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | ~ c1_1(X31)
                | c2_1(X31) ) ) )
        & ( hskp10
          | hskp41
          | ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c3_1(X30)
                | ~ c2_1(X30) ) ) )
        & ( hskp40
          | ! [X29] :
              ( ndr1_0
             => ( c2_1(X29)
                | c1_1(X29)
                | ~ c3_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | c3_1(X28)
                | c1_1(X28) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( c1_1(X27)
                | ~ c2_1(X27)
                | c0_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | c3_1(X26)
                | ~ c0_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c1_1(X25)
                | ~ c0_1(X25)
                | c3_1(X25) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c0_1(X24)
                | c1_1(X24)
                | c2_1(X24) ) )
          | hskp9
          | hskp8 )
        & ( ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | ~ c0_1(X23)
                | ~ c1_1(X23) ) )
          | hskp39
          | ! [X22] :
              ( ndr1_0
             => ( ~ c1_1(X22)
                | c2_1(X22)
                | ~ c0_1(X22) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | c2_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c0_1(X20)
                | ~ c1_1(X20)
                | c3_1(X20) ) )
          | hskp38 )
        & ( hskp37
          | hskp7
          | ! [X19] :
              ( ndr1_0
             => ( ~ c0_1(X19)
                | c3_1(X19)
                | c2_1(X19) ) ) )
        & ( hskp6
          | hskp37
          | hskp34 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c2_1(X18)
                | c3_1(X18)
                | ~ c1_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c0_1(X17)
                | ~ c2_1(X17)
                | ~ c1_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c2_1(X16)
                | c0_1(X16)
                | c1_1(X16) ) ) )
        & ( hskp36
          | hskp35
          | hskp5 )
        & ( hskp4
          | ! [X15] :
              ( ndr1_0
             => ( c3_1(X15)
                | ~ c1_1(X15)
                | c2_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c1_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp3
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | c1_1(X13)
                | c3_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c1_1(X12)
                | ~ c2_1(X12)
                | ~ c3_1(X12) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | c2_1(X11)
                | ~ c0_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | ~ c3_1(X10)
                | c1_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c0_1(X9)
                | ~ c1_1(X9) ) ) )
        & ( hskp34
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c1_1(X8)
                | ~ c0_1(X8) ) )
          | hskp33 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) )
          | hskp2
          | hskp32 )
        & ( hskp31
          | hskp30
          | hskp29 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c3_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c3_1(X5)
                | c0_1(X5)
                | ~ c1_1(X5) ) )
          | hskp1 )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c1_1(X4)
                | ~ c2_1(X4)
                | ~ c0_1(X4) ) )
          | hskp0
          | ! [X3] :
              ( ndr1_0
             => ( ~ c1_1(X3)
                | ~ c0_1(X3)
                | ~ c2_1(X3) ) ) )
        & ( hskp28
          | hskp27
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c3_1(X2) ) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | ~ c3_1(X1)
                | ~ c1_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( ~ c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) )
          | hskp26 )
        & ( ( c0_1(a2252)
            & ~ c1_1(a2252)
            & ~ c2_1(a2252)
            & ndr1_0 )
          | ~ hskp58 )
        & ( ( c3_1(a2243)
            & c0_1(a2243)
            & c1_1(a2243)
            & ndr1_0 )
          | ~ hskp57 )
        & ( ( c2_1(a2242)
            & ~ c3_1(a2242)
            & ~ c1_1(a2242)
            & ndr1_0 )
          | ~ hskp56 )
        & ( ( c2_1(a2241)
            & c0_1(a2241)
            & c1_1(a2241)
            & ndr1_0 )
          | ~ hskp55 )
        & ( ( c0_1(a2240)
            & c3_1(a2240)
            & c1_1(a2240)
            & ndr1_0 )
          | ~ hskp54 )
        & ( ( c3_1(a2235)
            & c2_1(a2235)
            & c0_1(a2235)
            & ndr1_0 )
          | ~ hskp53 )
        & ( ( c2_1(a2234)
            & c3_1(a2234)
            & c1_1(a2234)
            & ndr1_0 )
          | ~ hskp52 )
        & ( ( c2_1(a2232)
            & c3_1(a2232)
            & c0_1(a2232)
            & ndr1_0 )
          | ~ hskp51 )
        & ( ( c1_1(a2231)
            & c2_1(a2231)
            & ~ c3_1(a2231)
            & ndr1_0 )
          | ~ hskp50 )
        & ( ( c3_1(a2229)
            & ~ c1_1(a2229)
            & c0_1(a2229)
            & ndr1_0 )
          | ~ hskp49 )
        & ( ( c2_1(a2228)
            & c3_1(a2228)
            & ~ c0_1(a2228)
            & ndr1_0 )
          | ~ hskp48 )
        & ( ( c0_1(a2226)
            & ~ c1_1(a2226)
            & c2_1(a2226)
            & ndr1_0 )
          | ~ hskp47 )
        & ( ( c2_1(a2218)
            & ~ c3_1(a2218)
            & c0_1(a2218)
            & ndr1_0 )
          | ~ hskp46 )
        & ( ( c0_1(a2216)
            & c3_1(a2216)
            & c2_1(a2216)
            & ndr1_0 )
          | ~ hskp45 )
        & ( ( c1_1(a2215)
            & c2_1(a2215)
            & ~ c0_1(a2215)
            & ndr1_0 )
          | ~ hskp44 )
        & ( ( c0_1(a2208)
            & c3_1(a2208)
            & ~ c2_1(a2208)
            & ndr1_0 )
          | ~ hskp43 )
        & ( ( c0_1(a2207)
            & ~ c3_1(a2207)
            & c1_1(a2207)
            & ndr1_0 )
          | ~ hskp42 )
        & ( ( c1_1(a2205)
            & ~ c0_1(a2205)
            & c2_1(a2205)
            & ndr1_0 )
          | ~ hskp41 )
        & ( ( c3_1(a2204)
            & ~ c1_1(a2204)
            & c2_1(a2204)
            & ndr1_0 )
          | ~ hskp40 )
        & ( ( c3_1(a2201)
            & ~ c0_1(a2201)
            & ~ c1_1(a2201)
            & ndr1_0 )
          | ~ hskp39 )
        & ( ( c1_1(a2200)
            & ~ c2_1(a2200)
            & ~ c0_1(a2200)
            & ndr1_0 )
          | ~ hskp38 )
        & ( ( c2_1(a2196)
            & ~ c0_1(a2196)
            & c1_1(a2196)
            & ndr1_0 )
          | ~ hskp37 )
        & ( ( c1_1(a2194)
            & ~ c2_1(a2194)
            & c3_1(a2194)
            & ndr1_0 )
          | ~ hskp36 )
        & ( ( c3_1(a2193)
            & ~ c0_1(a2193)
            & c2_1(a2193)
            & ndr1_0 )
          | ~ hskp35 )
        & ( ( c3_1(a2189)
            & c1_1(a2189)
            & ~ c0_1(a2189)
            & ndr1_0 )
          | ~ hskp34 )
        & ( ( c1_1(a2188)
            & ~ c2_1(a2188)
            & ~ c3_1(a2188)
            & ndr1_0 )
          | ~ hskp33 )
        & ( ( c0_1(a2186)
            & ~ c2_1(a2186)
            & ~ c3_1(a2186)
            & ndr1_0 )
          | ~ hskp32 )
        & ( ( c3_1(a2185)
            & ~ c2_1(a2185)
            & c1_1(a2185)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c0_1(a2184)
            & ~ c1_1(a2184)
            & ~ c3_1(a2184)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a2183)
            & c2_1(a2183)
            & ~ c0_1(a2183)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a2180)
            & c1_1(a2180)
            & c3_1(a2180)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c0_1(a2179)
            & ~ c2_1(a2179)
            & ~ c1_1(a2179)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c2_1(a2178)
            & c0_1(a2178)
            & ~ c3_1(a2178)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c0_1(a2249)
            & c2_1(a2249)
            & c3_1(a2249)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a2246)
            & ~ c0_1(a2246)
            & c1_1(a2246)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a2245)
            & c0_1(a2245)
            & c3_1(a2245)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c1_1(a2244)
            & ~ c2_1(a2244)
            & c0_1(a2244)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a2239)
            & ~ c0_1(a2239)
            & c2_1(a2239)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a2237)
            & c0_1(a2237)
            & c1_1(a2237)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a2233)
            & ~ c1_1(a2233)
            & ~ c0_1(a2233)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a2222)
            & c3_1(a2222)
            & c0_1(a2222)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a2221)
            & c2_1(a2221)
            & ~ c0_1(a2221)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a2220)
            & ~ c1_1(a2220)
            & ~ c2_1(a2220)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c0_1(a2217)
            & c1_1(a2217)
            & ~ c3_1(a2217)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c0_1(a2213)
            & c2_1(a2213)
            & ~ c1_1(a2213)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a2212)
            & c2_1(a2212)
            & c0_1(a2212)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a2211)
            & ~ c1_1(a2211)
            & c2_1(a2211)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a2209)
            & ~ c1_1(a2209)
            & c0_1(a2209)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a2206)
            & ~ c0_1(a2206)
            & ~ c2_1(a2206)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a2203)
            & c0_1(a2203)
            & ~ c1_1(a2203)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c0_1(a2202)
            & ~ c1_1(a2202)
            & ~ c2_1(a2202)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a2198)
            & c0_1(a2198)
            & c2_1(a2198)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c1_1(a2197)
            & ~ c3_1(a2197)
            & ~ c0_1(a2197)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a2192)
            & c1_1(a2192)
            & ~ c0_1(a2192)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a2191)
            & ~ c2_1(a2191)
            & c3_1(a2191)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c0_1(a2190)
            & ~ c1_1(a2190)
            & c2_1(a2190)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a2187)
            & c1_1(a2187)
            & c3_1(a2187)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a2182)
            & ~ c0_1(a2182)
            & c3_1(a2182)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a2181)
            & ~ c1_1(a2181)
            & ~ c0_1(a2181)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( ! [X103] :
            ( ndr1_0
           => ( c2_1(X103)
              | c1_1(X103)
              | ~ c3_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( c1_1(X102)
              | c2_1(X102)
              | ~ c3_1(X102) ) )
        | hskp58 )
      & ( hskp40
        | ! [X101] :
            ( ndr1_0
           => ( c0_1(X101)
              | ~ c2_1(X101)
              | ~ c3_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c0_1(X100)
              | ~ c3_1(X100)
              | c2_1(X100) ) ) )
      & ( ! [X99] :
            ( ndr1_0
           => ( ~ c2_1(X99)
              | ~ c0_1(X99)
              | c3_1(X99) ) )
        | ! [X98] :
            ( ndr1_0
           => ( c1_1(X98)
              | c0_1(X98)
              | ~ c2_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c0_1(X97)
              | c2_1(X97)
              | c3_1(X97) ) ) )
      & ( ! [X96] :
            ( ndr1_0
           => ( ~ c0_1(X96)
              | ~ c2_1(X96)
              | c3_1(X96) ) )
        | hskp56
        | ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | c0_1(X95)
              | c3_1(X95) ) ) )
      & ( hskp25
        | ! [X94] :
            ( ndr1_0
           => ( c2_1(X94)
              | c0_1(X94)
              | c3_1(X94) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c2_1(X93)
              | ~ c3_1(X93)
              | c0_1(X93) ) ) )
      & ( ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | c1_1(X92)
              | c2_1(X92) ) )
        | ! [X91] :
            ( ndr1_0
           => ( c2_1(X91)
              | c1_1(X91)
              | ~ c0_1(X91) ) )
        | hskp32 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c1_1(X90)
              | ~ c0_1(X90)
              | c2_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | ~ c3_1(X89)
              | c1_1(X89) ) )
        | ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | ~ c2_1(X88)
              | c0_1(X88) ) ) )
      & ( ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c0_1(X87)
              | c2_1(X87) ) )
        | ! [X86] :
            ( ndr1_0
           => ( c3_1(X86)
              | c1_1(X86)
              | c0_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( c3_1(X85)
              | c2_1(X85)
              | c1_1(X85) ) ) )
      & ( ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c0_1(X84)
              | ~ c2_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c1_1(X83)
              | c2_1(X83)
              | c0_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | c0_1(X82)
              | c2_1(X82) ) ) )
      & ( ! [X81] :
            ( ndr1_0
           => ( ~ c1_1(X81)
              | c3_1(X81)
              | ~ c2_1(X81) ) )
        | hskp17 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | ~ c3_1(X80)
              | ~ c0_1(X80) ) )
        | hskp24
        | hskp23 )
      & ( hskp22
        | ! [X79] :
            ( ndr1_0
           => ( c3_1(X79)
              | c0_1(X79)
              | ~ c1_1(X79) ) )
        | hskp57 )
      & ( ! [X78] :
            ( ndr1_0
           => ( ~ c2_1(X78)
              | ~ c0_1(X78)
              | c1_1(X78) ) )
        | hskp56
        | ! [X77] :
            ( ndr1_0
           => ( c2_1(X77)
              | ~ c0_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp55
        | hskp54
        | hskp21 )
      & ( hskp10
        | ! [X76] :
            ( ndr1_0
           => ( ~ c0_1(X76)
              | c2_1(X76)
              | ~ c3_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c1_1(X75)
              | c2_1(X75)
              | ~ c3_1(X75) ) ) )
      & ( ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c1_1(X74)
              | c3_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c2_1(X73)
              | ~ c3_1(X73)
              | ~ c1_1(X73) ) )
        | hskp20 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | ~ c3_1(X72)
              | c2_1(X72) ) )
        | hskp10
        | ! [X71] :
            ( ndr1_0
           => ( c3_1(X71)
              | ~ c0_1(X71)
              | ~ c2_1(X71) ) ) )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c2_1(X70)
              | c3_1(X70) ) )
        | hskp53
        | ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | c3_1(X69)
              | ~ c0_1(X69) ) ) )
      & ( hskp52
        | hskp19
        | ! [X68] :
            ( ndr1_0
           => ( c0_1(X68)
              | ~ c2_1(X68)
              | c3_1(X68) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | c3_1(X67)
              | ~ c1_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c2_1(X66)
              | c0_1(X66)
              | c3_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c0_1(X65)
              | ~ c1_1(X65)
              | ~ c3_1(X65) ) ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( ~ c2_1(X64)
              | c0_1(X64)
              | ~ c1_1(X64) ) )
        | hskp51
        | hskp50 )
      & ( hskp31
        | hskp49
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | c1_1(X63)
              | c0_1(X63) ) ) )
      & ( hskp48
        | ! [X62] :
            ( ndr1_0
           => ( ~ c1_1(X62)
              | c0_1(X62)
              | ~ c2_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | ~ c3_1(X61)
              | ~ c1_1(X61) ) ) )
      & ( ! [X60] :
            ( ndr1_0
           => ( c2_1(X60)
              | ~ c1_1(X60)
              | c3_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c2_1(X59)
              | c3_1(X59)
              | ~ c1_1(X59) ) )
        | hskp18 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c3_1(X58)
              | c2_1(X58)
              | c1_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c2_1(X57)
              | c0_1(X57)
              | ~ c3_1(X57) ) )
        | hskp47 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | ~ c1_1(X56)
              | c2_1(X56) ) )
        | hskp33
        | ! [X55] :
            ( ndr1_0
           => ( c3_1(X55)
              | ~ c0_1(X55)
              | c1_1(X55) ) ) )
      & ( ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | ~ c1_1(X54)
              | ~ c2_1(X54) ) )
        | hskp33
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | ~ c3_1(X53)
              | ~ c1_1(X53) ) ) )
      & ( hskp31
        | ! [X52] :
            ( ndr1_0
           => ( c3_1(X52)
              | ~ c2_1(X52)
              | ~ c1_1(X52) ) )
        | hskp18 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c1_1(X51)
              | ~ c2_1(X51)
              | c0_1(X51) ) )
        | hskp17
        | hskp16 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c3_1(X50)
              | c2_1(X50)
              | c1_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | c2_1(X49)
              | c3_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c0_1(X48)
              | c2_1(X48)
              | ~ c3_1(X48) ) ) )
      & ( hskp34
        | hskp46
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | c1_1(X47)
              | ~ c0_1(X47) ) ) )
      & ( ! [X46] :
            ( ndr1_0
           => ( c1_1(X46)
              | ~ c2_1(X46)
              | ~ c3_1(X46) ) )
        | hskp15
        | hskp45 )
      & ( ! [X45] :
            ( ndr1_0
           => ( ~ c0_1(X45)
              | ~ c3_1(X45)
              | c1_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c0_1(X44)
              | c2_1(X44)
              | ~ c3_1(X44) ) )
        | hskp44 )
      & ( ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | c1_1(X43)
              | ~ c2_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | c0_1(X42)
              | c1_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c2_1(X41)
              | c3_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp4
        | ! [X40] :
            ( ndr1_0
           => ( c2_1(X40)
              | c3_1(X40)
              | ~ c0_1(X40) ) )
        | hskp14 )
      & ( ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c0_1(X39)
              | ~ c3_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c2_1(X38)
              | ~ c3_1(X38)
              | ~ c0_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | ~ c2_1(X37)
              | c3_1(X37) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( c1_1(X36)
              | c3_1(X36)
              | ~ c0_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | c1_1(X35)
              | c0_1(X35) ) )
        | hskp13 )
      & ( hskp12
        | hskp3
        | hskp11 )
      & ( hskp43
        | hskp42
        | ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c3_1(X34)
              | c1_1(X34) ) ) )
      & ( ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | ~ c3_1(X33)
              | c2_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c2_1(X32)
              | ~ c1_1(X32)
              | ~ c0_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | ~ c1_1(X31)
              | c2_1(X31) ) ) )
      & ( hskp10
        | hskp41
        | ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c3_1(X30)
              | ~ c2_1(X30) ) ) )
      & ( hskp40
        | ! [X29] :
            ( ndr1_0
           => ( c2_1(X29)
              | c1_1(X29)
              | ~ c3_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c0_1(X28)
              | c3_1(X28)
              | c1_1(X28) ) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( c1_1(X27)
              | ~ c2_1(X27)
              | c0_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c2_1(X26)
              | c3_1(X26)
              | ~ c0_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c1_1(X25)
              | ~ c0_1(X25)
              | c3_1(X25) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( ~ c0_1(X24)
              | c1_1(X24)
              | c2_1(X24) ) )
        | hskp9
        | hskp8 )
      & ( ! [X23] :
            ( ndr1_0
           => ( ~ c2_1(X23)
              | ~ c0_1(X23)
              | ~ c1_1(X23) ) )
        | hskp39
        | ! [X22] :
            ( ndr1_0
           => ( ~ c1_1(X22)
              | c2_1(X22)
              | ~ c0_1(X22) ) ) )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c1_1(X21)
              | c2_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c0_1(X20)
              | ~ c1_1(X20)
              | c3_1(X20) ) )
        | hskp38 )
      & ( hskp37
        | hskp7
        | ! [X19] :
            ( ndr1_0
           => ( ~ c0_1(X19)
              | c3_1(X19)
              | c2_1(X19) ) ) )
      & ( hskp6
        | hskp37
        | hskp34 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c2_1(X18)
              | c3_1(X18)
              | ~ c1_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c0_1(X17)
              | ~ c2_1(X17)
              | ~ c1_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c2_1(X16)
              | c0_1(X16)
              | c1_1(X16) ) ) )
      & ( hskp36
        | hskp35
        | hskp5 )
      & ( hskp4
        | ! [X15] :
            ( ndr1_0
           => ( c3_1(X15)
              | ~ c1_1(X15)
              | c2_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | ~ c1_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp3
        | ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | c1_1(X13)
              | c3_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c1_1(X12)
              | ~ c2_1(X12)
              | ~ c3_1(X12) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | c2_1(X11)
              | ~ c0_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c2_1(X10)
              | ~ c3_1(X10)
              | c1_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | ~ c0_1(X9)
              | ~ c1_1(X9) ) ) )
      & ( hskp34
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c1_1(X8)
              | ~ c0_1(X8) ) )
        | hskp33 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c3_1(X7) ) )
        | hskp2
        | hskp32 )
      & ( hskp31
        | hskp30
        | hskp29 )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c3_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c3_1(X5)
              | c0_1(X5)
              | ~ c1_1(X5) ) )
        | hskp1 )
      & ( ! [X4] :
            ( ndr1_0
           => ( ~ c1_1(X4)
              | ~ c2_1(X4)
              | ~ c0_1(X4) ) )
        | hskp0
        | ! [X3] :
            ( ndr1_0
           => ( ~ c1_1(X3)
              | ~ c0_1(X3)
              | ~ c2_1(X3) ) ) )
      & ( hskp28
        | hskp27
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c3_1(X2) ) ) )
      & ( ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | ~ c3_1(X1)
              | ~ c1_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( ~ c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) )
        | hskp26 )
      & ( ( c0_1(a2252)
          & ~ c1_1(a2252)
          & ~ c2_1(a2252)
          & ndr1_0 )
        | ~ hskp58 )
      & ( ( c3_1(a2243)
          & c0_1(a2243)
          & c1_1(a2243)
          & ndr1_0 )
        | ~ hskp57 )
      & ( ( c2_1(a2242)
          & ~ c3_1(a2242)
          & ~ c1_1(a2242)
          & ndr1_0 )
        | ~ hskp56 )
      & ( ( c2_1(a2241)
          & c0_1(a2241)
          & c1_1(a2241)
          & ndr1_0 )
        | ~ hskp55 )
      & ( ( c0_1(a2240)
          & c3_1(a2240)
          & c1_1(a2240)
          & ndr1_0 )
        | ~ hskp54 )
      & ( ( c3_1(a2235)
          & c2_1(a2235)
          & c0_1(a2235)
          & ndr1_0 )
        | ~ hskp53 )
      & ( ( c2_1(a2234)
          & c3_1(a2234)
          & c1_1(a2234)
          & ndr1_0 )
        | ~ hskp52 )
      & ( ( c2_1(a2232)
          & c3_1(a2232)
          & c0_1(a2232)
          & ndr1_0 )
        | ~ hskp51 )
      & ( ( c1_1(a2231)
          & c2_1(a2231)
          & ~ c3_1(a2231)
          & ndr1_0 )
        | ~ hskp50 )
      & ( ( c3_1(a2229)
          & ~ c1_1(a2229)
          & c0_1(a2229)
          & ndr1_0 )
        | ~ hskp49 )
      & ( ( c2_1(a2228)
          & c3_1(a2228)
          & ~ c0_1(a2228)
          & ndr1_0 )
        | ~ hskp48 )
      & ( ( c0_1(a2226)
          & ~ c1_1(a2226)
          & c2_1(a2226)
          & ndr1_0 )
        | ~ hskp47 )
      & ( ( c2_1(a2218)
          & ~ c3_1(a2218)
          & c0_1(a2218)
          & ndr1_0 )
        | ~ hskp46 )
      & ( ( c0_1(a2216)
          & c3_1(a2216)
          & c2_1(a2216)
          & ndr1_0 )
        | ~ hskp45 )
      & ( ( c1_1(a2215)
          & c2_1(a2215)
          & ~ c0_1(a2215)
          & ndr1_0 )
        | ~ hskp44 )
      & ( ( c0_1(a2208)
          & c3_1(a2208)
          & ~ c2_1(a2208)
          & ndr1_0 )
        | ~ hskp43 )
      & ( ( c0_1(a2207)
          & ~ c3_1(a2207)
          & c1_1(a2207)
          & ndr1_0 )
        | ~ hskp42 )
      & ( ( c1_1(a2205)
          & ~ c0_1(a2205)
          & c2_1(a2205)
          & ndr1_0 )
        | ~ hskp41 )
      & ( ( c3_1(a2204)
          & ~ c1_1(a2204)
          & c2_1(a2204)
          & ndr1_0 )
        | ~ hskp40 )
      & ( ( c3_1(a2201)
          & ~ c0_1(a2201)
          & ~ c1_1(a2201)
          & ndr1_0 )
        | ~ hskp39 )
      & ( ( c1_1(a2200)
          & ~ c2_1(a2200)
          & ~ c0_1(a2200)
          & ndr1_0 )
        | ~ hskp38 )
      & ( ( c2_1(a2196)
          & ~ c0_1(a2196)
          & c1_1(a2196)
          & ndr1_0 )
        | ~ hskp37 )
      & ( ( c1_1(a2194)
          & ~ c2_1(a2194)
          & c3_1(a2194)
          & ndr1_0 )
        | ~ hskp36 )
      & ( ( c3_1(a2193)
          & ~ c0_1(a2193)
          & c2_1(a2193)
          & ndr1_0 )
        | ~ hskp35 )
      & ( ( c3_1(a2189)
          & c1_1(a2189)
          & ~ c0_1(a2189)
          & ndr1_0 )
        | ~ hskp34 )
      & ( ( c1_1(a2188)
          & ~ c2_1(a2188)
          & ~ c3_1(a2188)
          & ndr1_0 )
        | ~ hskp33 )
      & ( ( c0_1(a2186)
          & ~ c2_1(a2186)
          & ~ c3_1(a2186)
          & ndr1_0 )
        | ~ hskp32 )
      & ( ( c3_1(a2185)
          & ~ c2_1(a2185)
          & c1_1(a2185)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c0_1(a2184)
          & ~ c1_1(a2184)
          & ~ c3_1(a2184)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a2183)
          & c2_1(a2183)
          & ~ c0_1(a2183)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c2_1(a2180)
          & c1_1(a2180)
          & c3_1(a2180)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c0_1(a2179)
          & ~ c2_1(a2179)
          & ~ c1_1(a2179)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( c2_1(a2178)
          & c0_1(a2178)
          & ~ c3_1(a2178)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c0_1(a2249)
          & c2_1(a2249)
          & c3_1(a2249)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a2246)
          & ~ c0_1(a2246)
          & c1_1(a2246)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c1_1(a2245)
          & c0_1(a2245)
          & c3_1(a2245)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c1_1(a2244)
          & ~ c2_1(a2244)
          & c0_1(a2244)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a2239)
          & ~ c0_1(a2239)
          & c2_1(a2239)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a2237)
          & c0_1(a2237)
          & c1_1(a2237)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a2233)
          & ~ c1_1(a2233)
          & ~ c0_1(a2233)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a2222)
          & c3_1(a2222)
          & c0_1(a2222)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a2221)
          & c2_1(a2221)
          & ~ c0_1(a2221)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a2220)
          & ~ c1_1(a2220)
          & ~ c2_1(a2220)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c0_1(a2217)
          & c1_1(a2217)
          & ~ c3_1(a2217)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c0_1(a2213)
          & c2_1(a2213)
          & ~ c1_1(a2213)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a2212)
          & c2_1(a2212)
          & c0_1(a2212)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a2211)
          & ~ c1_1(a2211)
          & c2_1(a2211)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c2_1(a2209)
          & ~ c1_1(a2209)
          & c0_1(a2209)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a2206)
          & ~ c0_1(a2206)
          & ~ c2_1(a2206)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a2203)
          & c0_1(a2203)
          & ~ c1_1(a2203)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c0_1(a2202)
          & ~ c1_1(a2202)
          & ~ c2_1(a2202)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a2198)
          & c0_1(a2198)
          & c2_1(a2198)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c1_1(a2197)
          & ~ c3_1(a2197)
          & ~ c0_1(a2197)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a2192)
          & c1_1(a2192)
          & ~ c0_1(a2192)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c1_1(a2191)
          & ~ c2_1(a2191)
          & c3_1(a2191)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c0_1(a2190)
          & ~ c1_1(a2190)
          & c2_1(a2190)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c2_1(a2187)
          & c1_1(a2187)
          & c3_1(a2187)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a2182)
          & ~ c0_1(a2182)
          & c3_1(a2182)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a2181)
          & ~ c1_1(a2181)
          & ~ c0_1(a2181)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f1654,plain,
    ( ~ spl0_87
    | ~ spl0_264 ),
    inference(avatar_split_clause,[],[f13,f1651,f710]) ).

fof(f13,plain,
    ( ~ c0_1(a2182)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1627,plain,
    ( ~ spl0_65
    | spl0_259 ),
    inference(avatar_split_clause,[],[f20,f1624,f607]) ).

fof(f607,plain,
    ( spl0_65
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f20,plain,
    ( c2_1(a2190)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1622,plain,
    ( ~ spl0_65
    | ~ spl0_258 ),
    inference(avatar_split_clause,[],[f21,f1619,f607]) ).

fof(f21,plain,
    ( ~ c1_1(a2190)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1617,plain,
    ( ~ spl0_65
    | ~ spl0_257 ),
    inference(avatar_split_clause,[],[f22,f1614,f607]) ).

fof(f22,plain,
    ( ~ c0_1(a2190)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1611,plain,
    ( ~ spl0_62
    | spl0_256 ),
    inference(avatar_split_clause,[],[f24,f1608,f592]) ).

fof(f592,plain,
    ( spl0_62
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f24,plain,
    ( c3_1(a2191)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1606,plain,
    ( ~ spl0_62
    | ~ spl0_255 ),
    inference(avatar_split_clause,[],[f25,f1603,f592]) ).

fof(f25,plain,
    ( ~ c2_1(a2191)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1601,plain,
    ( ~ spl0_62
    | ~ spl0_254 ),
    inference(avatar_split_clause,[],[f26,f1598,f592]) ).

fof(f26,plain,
    ( ~ c1_1(a2191)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1596,plain,
    ( ~ spl0_80
    | spl0_3 ),
    inference(avatar_split_clause,[],[f27,f348,f676]) ).

fof(f676,plain,
    ( spl0_80
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f348,plain,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f27,plain,
    ( ndr1_0
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1547,plain,
    ( ~ spl0_71
    | ~ spl0_244 ),
    inference(avatar_split_clause,[],[f40,f1544,f636]) ).

fof(f636,plain,
    ( spl0_71
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f40,plain,
    ( ~ c2_1(a2202)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1542,plain,
    ( ~ spl0_71
    | ~ spl0_243 ),
    inference(avatar_split_clause,[],[f41,f1539,f636]) ).

fof(f41,plain,
    ( ~ c1_1(a2202)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1526,plain,
    ( ~ spl0_72
    | spl0_240 ),
    inference(avatar_split_clause,[],[f45,f1523,f640]) ).

fof(f640,plain,
    ( spl0_72
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f45,plain,
    ( c0_1(a2203)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1515,plain,
    ( ~ spl0_35
    | ~ spl0_238 ),
    inference(avatar_split_clause,[],[f48,f1512,f471]) ).

fof(f471,plain,
    ( spl0_35
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f48,plain,
    ( ~ c2_1(a2206)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1510,plain,
    ( ~ spl0_35
    | ~ spl0_237 ),
    inference(avatar_split_clause,[],[f49,f1507,f471]) ).

fof(f49,plain,
    ( ~ c0_1(a2206)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1505,plain,
    ( ~ spl0_35
    | ~ spl0_236 ),
    inference(avatar_split_clause,[],[f50,f1502,f471]) ).

fof(f50,plain,
    ( ~ c3_1(a2206)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1499,plain,
    ( ~ spl0_64
    | spl0_235 ),
    inference(avatar_split_clause,[],[f52,f1496,f603]) ).

fof(f603,plain,
    ( spl0_64
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f52,plain,
    ( c0_1(a2209)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1494,plain,
    ( ~ spl0_64
    | ~ spl0_234 ),
    inference(avatar_split_clause,[],[f53,f1491,f603]) ).

fof(f53,plain,
    ( ~ c1_1(a2209)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1489,plain,
    ( ~ spl0_64
    | ~ spl0_233 ),
    inference(avatar_split_clause,[],[f54,f1486,f603]) ).

fof(f54,plain,
    ( ~ c2_1(a2209)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1483,plain,
    ( ~ spl0_66
    | spl0_232 ),
    inference(avatar_split_clause,[],[f56,f1480,f611]) ).

fof(f611,plain,
    ( spl0_66
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f56,plain,
    ( c2_1(a2211)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1478,plain,
    ( ~ spl0_66
    | ~ spl0_231 ),
    inference(avatar_split_clause,[],[f57,f1475,f611]) ).

fof(f57,plain,
    ( ~ c1_1(a2211)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1473,plain,
    ( ~ spl0_66
    | ~ spl0_230 ),
    inference(avatar_split_clause,[],[f58,f1470,f611]) ).

fof(f58,plain,
    ( ~ c3_1(a2211)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1451,plain,
    ( ~ spl0_61
    | ~ spl0_226 ),
    inference(avatar_split_clause,[],[f64,f1448,f588]) ).

fof(f588,plain,
    ( spl0_61
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f64,plain,
    ( ~ c1_1(a2213)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1446,plain,
    ( ~ spl0_61
    | spl0_225 ),
    inference(avatar_split_clause,[],[f65,f1443,f588]) ).

fof(f65,plain,
    ( c2_1(a2213)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1441,plain,
    ( ~ spl0_61
    | ~ spl0_224 ),
    inference(avatar_split_clause,[],[f66,f1438,f588]) ).

fof(f66,plain,
    ( ~ c0_1(a2213)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1419,plain,
    ( ~ spl0_55
    | ~ spl0_220 ),
    inference(avatar_split_clause,[],[f72,f1416,f558]) ).

fof(f558,plain,
    ( spl0_55
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f72,plain,
    ( ~ c2_1(a2220)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1414,plain,
    ( ~ spl0_55
    | ~ spl0_219 ),
    inference(avatar_split_clause,[],[f73,f1411,f558]) ).

fof(f73,plain,
    ( ~ c1_1(a2220)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1409,plain,
    ( ~ spl0_55
    | ~ spl0_218 ),
    inference(avatar_split_clause,[],[f74,f1406,f558]) ).

fof(f74,plain,
    ( ~ c3_1(a2220)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1403,plain,
    ( ~ spl0_22
    | ~ spl0_217 ),
    inference(avatar_split_clause,[],[f76,f1400,f419]) ).

fof(f419,plain,
    ( spl0_22
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f76,plain,
    ( ~ c0_1(a2221)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1398,plain,
    ( ~ spl0_22
    | spl0_216 ),
    inference(avatar_split_clause,[],[f77,f1395,f419]) ).

fof(f77,plain,
    ( c2_1(a2221)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1393,plain,
    ( ~ spl0_22
    | ~ spl0_215 ),
    inference(avatar_split_clause,[],[f78,f1390,f419]) ).

fof(f78,plain,
    ( ~ c3_1(a2221)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1387,plain,
    ( ~ spl0_51
    | spl0_214 ),
    inference(avatar_split_clause,[],[f80,f1384,f538]) ).

fof(f538,plain,
    ( spl0_51
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f80,plain,
    ( c0_1(a2222)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1382,plain,
    ( ~ spl0_51
    | spl0_213 ),
    inference(avatar_split_clause,[],[f81,f1379,f538]) ).

fof(f81,plain,
    ( c3_1(a2222)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1377,plain,
    ( ~ spl0_51
    | ~ spl0_212 ),
    inference(avatar_split_clause,[],[f82,f1374,f538]) ).

fof(f82,plain,
    ( ~ c2_1(a2222)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1371,plain,
    ( ~ spl0_40
    | ~ spl0_211 ),
    inference(avatar_split_clause,[],[f84,f1368,f493]) ).

fof(f493,plain,
    ( spl0_40
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f84,plain,
    ( ~ c0_1(a2233)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1366,plain,
    ( ~ spl0_40
    | ~ spl0_210 ),
    inference(avatar_split_clause,[],[f85,f1363,f493]) ).

fof(f85,plain,
    ( ~ c1_1(a2233)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1361,plain,
    ( ~ spl0_40
    | ~ spl0_209 ),
    inference(avatar_split_clause,[],[f86,f1358,f493]) ).

fof(f86,plain,
    ( ~ c3_1(a2233)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1355,plain,
    ( ~ spl0_36
    | spl0_208 ),
    inference(avatar_split_clause,[],[f88,f1352,f476]) ).

fof(f476,plain,
    ( spl0_36
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f88,plain,
    ( c1_1(a2237)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1350,plain,
    ( ~ spl0_36
    | spl0_207 ),
    inference(avatar_split_clause,[],[f89,f1347,f476]) ).

fof(f89,plain,
    ( c0_1(a2237)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1345,plain,
    ( ~ spl0_36
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f90,f1342,f476]) ).

fof(f90,plain,
    ( ~ c3_1(a2237)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1275,plain,
    ( ~ spl0_13
    | spl0_193 ),
    inference(avatar_split_clause,[],[f108,f1272,f385]) ).

fof(f385,plain,
    ( spl0_13
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f108,plain,
    ( c3_1(a2249)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1270,plain,
    ( ~ spl0_13
    | spl0_192 ),
    inference(avatar_split_clause,[],[f109,f1267,f385]) ).

fof(f109,plain,
    ( c2_1(a2249)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1265,plain,
    ( ~ spl0_13
    | ~ spl0_191 ),
    inference(avatar_split_clause,[],[f110,f1262,f385]) ).

fof(f110,plain,
    ( ~ c0_1(a2249)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1259,plain,
    ( ~ spl0_91
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f112,f1256,f729]) ).

fof(f729,plain,
    ( spl0_91
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f112,plain,
    ( ~ c3_1(a2178)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1254,plain,
    ( ~ spl0_91
    | spl0_189 ),
    inference(avatar_split_clause,[],[f113,f1251,f729]) ).

fof(f113,plain,
    ( c0_1(a2178)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1249,plain,
    ( ~ spl0_91
    | spl0_188 ),
    inference(avatar_split_clause,[],[f114,f1246,f729]) ).

fof(f114,plain,
    ( c2_1(a2178)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1179,plain,
    ( ~ spl0_49
    | spl0_175 ),
    inference(avatar_split_clause,[],[f132,f1176,f528]) ).

fof(f528,plain,
    ( spl0_49
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f132,plain,
    ( c1_1(a2185)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1174,plain,
    ( ~ spl0_49
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f133,f1171,f528]) ).

fof(f133,plain,
    ( ~ c2_1(a2185)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1169,plain,
    ( ~ spl0_49
    | spl0_173 ),
    inference(avatar_split_clause,[],[f134,f1166,f528]) ).

fof(f134,plain,
    ( c3_1(a2185)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1163,plain,
    ( ~ spl0_14
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f136,f1160,f390]) ).

fof(f390,plain,
    ( spl0_14
  <=> hskp32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f136,plain,
    ( ~ c3_1(a2186)
    | ~ hskp32 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1158,plain,
    ( ~ spl0_14
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f137,f1155,f390]) ).

fof(f137,plain,
    ( ~ c2_1(a2186)
    | ~ hskp32 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1153,plain,
    ( ~ spl0_14
    | spl0_170 ),
    inference(avatar_split_clause,[],[f138,f1150,f390]) ).

fof(f138,plain,
    ( c0_1(a2186)
    | ~ hskp32 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1147,plain,
    ( ~ spl0_54
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f140,f1144,f551]) ).

fof(f551,plain,
    ( spl0_54
  <=> hskp33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f140,plain,
    ( ~ c3_1(a2188)
    | ~ hskp33 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1142,plain,
    ( ~ spl0_54
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f141,f1139,f551]) ).

fof(f141,plain,
    ( ~ c2_1(a2188)
    | ~ hskp33 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1137,plain,
    ( ~ spl0_54
    | spl0_167 ),
    inference(avatar_split_clause,[],[f142,f1134,f551]) ).

fof(f142,plain,
    ( c1_1(a2188)
    | ~ hskp33 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1131,plain,
    ( ~ spl0_57
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f144,f1128,f568]) ).

fof(f568,plain,
    ( spl0_57
  <=> hskp34 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f144,plain,
    ( ~ c0_1(a2189)
    | ~ hskp34 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1126,plain,
    ( ~ spl0_57
    | spl0_165 ),
    inference(avatar_split_clause,[],[f145,f1123,f568]) ).

fof(f145,plain,
    ( c1_1(a2189)
    | ~ hskp34 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1121,plain,
    ( ~ spl0_57
    | spl0_164 ),
    inference(avatar_split_clause,[],[f146,f1118,f568]) ).

fof(f146,plain,
    ( c3_1(a2189)
    | ~ hskp34 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1116,plain,
    ( ~ spl0_81
    | spl0_3 ),
    inference(avatar_split_clause,[],[f147,f348,f680]) ).

fof(f680,plain,
    ( spl0_81
  <=> hskp35 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f147,plain,
    ( ndr1_0
    | ~ hskp35 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1100,plain,
    ( ~ spl0_82
    | spl0_3 ),
    inference(avatar_split_clause,[],[f151,f348,f684]) ).

fof(f684,plain,
    ( spl0_82
  <=> hskp36 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f151,plain,
    ( ndr1_0
    | ~ hskp36 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1035,plain,
    ( ~ spl0_6
    | spl0_148 ),
    inference(avatar_split_clause,[],[f168,f1032,f359]) ).

fof(f359,plain,
    ( spl0_6
  <=> hskp40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f168,plain,
    ( c2_1(a2204)
    | ~ hskp40 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1030,plain,
    ( ~ spl0_6
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f169,f1027,f359]) ).

fof(f169,plain,
    ( ~ c1_1(a2204)
    | ~ hskp40 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1025,plain,
    ( ~ spl0_6
    | spl0_146 ),
    inference(avatar_split_clause,[],[f170,f1022,f359]) ).

fof(f170,plain,
    ( c3_1(a2204)
    | ~ hskp40 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1019,plain,
    ( ~ spl0_70
    | spl0_145 ),
    inference(avatar_split_clause,[],[f172,f1016,f629]) ).

fof(f629,plain,
    ( spl0_70
  <=> hskp41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f172,plain,
    ( c2_1(a2205)
    | ~ hskp41 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1009,plain,
    ( ~ spl0_70
    | spl0_143 ),
    inference(avatar_split_clause,[],[f174,f1006,f629]) ).

fof(f174,plain,
    ( c1_1(a2205)
    | ~ hskp41 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1003,plain,
    ( ~ spl0_67
    | spl0_142 ),
    inference(avatar_split_clause,[],[f176,f1000,f616]) ).

fof(f616,plain,
    ( spl0_67
  <=> hskp42 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f176,plain,
    ( c1_1(a2207)
    | ~ hskp42 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f998,plain,
    ( ~ spl0_67
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f177,f995,f616]) ).

fof(f177,plain,
    ( ~ c3_1(a2207)
    | ~ hskp42 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f993,plain,
    ( ~ spl0_67
    | spl0_140 ),
    inference(avatar_split_clause,[],[f178,f990,f616]) ).

fof(f178,plain,
    ( c0_1(a2207)
    | ~ hskp42 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f987,plain,
    ( ~ spl0_68
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f180,f984,f620]) ).

fof(f620,plain,
    ( spl0_68
  <=> hskp43 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f180,plain,
    ( ~ c2_1(a2208)
    | ~ hskp43 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f982,plain,
    ( ~ spl0_68
    | spl0_138 ),
    inference(avatar_split_clause,[],[f181,f979,f620]) ).

fof(f181,plain,
    ( c3_1(a2208)
    | ~ hskp43 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f977,plain,
    ( ~ spl0_68
    | spl0_137 ),
    inference(avatar_split_clause,[],[f182,f974,f620]) ).

fof(f182,plain,
    ( c0_1(a2208)
    | ~ hskp43 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f966,plain,
    ( ~ spl0_60
    | spl0_135 ),
    inference(avatar_split_clause,[],[f185,f963,f582]) ).

fof(f582,plain,
    ( spl0_60
  <=> hskp44 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f185,plain,
    ( c2_1(a2215)
    | ~ hskp44 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f961,plain,
    ( ~ spl0_60
    | spl0_134 ),
    inference(avatar_split_clause,[],[f186,f958,f582]) ).

fof(f186,plain,
    ( c1_1(a2215)
    | ~ hskp44 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f939,plain,
    ( ~ spl0_56
    | spl0_130 ),
    inference(avatar_split_clause,[],[f192,f936,f564]) ).

fof(f564,plain,
    ( spl0_56
  <=> hskp46 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f192,plain,
    ( c0_1(a2218)
    | ~ hskp46 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f934,plain,
    ( ~ spl0_56
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f193,f931,f564]) ).

fof(f193,plain,
    ( ~ c3_1(a2218)
    | ~ hskp46 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f929,plain,
    ( ~ spl0_56
    | spl0_128 ),
    inference(avatar_split_clause,[],[f194,f926,f564]) ).

fof(f194,plain,
    ( c2_1(a2218)
    | ~ hskp46 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f918,plain,
    ( ~ spl0_53
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f197,f915,f546]) ).

fof(f546,plain,
    ( spl0_53
  <=> hskp47 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f197,plain,
    ( ~ c1_1(a2226)
    | ~ hskp47 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f913,plain,
    ( ~ spl0_53
    | spl0_125 ),
    inference(avatar_split_clause,[],[f198,f910,f546]) ).

fof(f198,plain,
    ( c0_1(a2226)
    | ~ hskp47 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f907,plain,
    ( ~ spl0_50
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f200,f904,f533]) ).

fof(f533,plain,
    ( spl0_50
  <=> hskp48 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f200,plain,
    ( ~ c0_1(a2228)
    | ~ hskp48 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f902,plain,
    ( ~ spl0_50
    | spl0_123 ),
    inference(avatar_split_clause,[],[f201,f899,f533]) ).

fof(f201,plain,
    ( c3_1(a2228)
    | ~ hskp48 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f897,plain,
    ( ~ spl0_50
    | spl0_122 ),
    inference(avatar_split_clause,[],[f202,f894,f533]) ).

fof(f202,plain,
    ( c2_1(a2228)
    | ~ hskp48 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f843,plain,
    ( ~ spl0_41
    | spl0_112 ),
    inference(avatar_split_clause,[],[f216,f840,f497]) ).

fof(f497,plain,
    ( spl0_41
  <=> hskp52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f216,plain,
    ( c1_1(a2234)
    | ~ hskp52 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f838,plain,
    ( ~ spl0_41
    | spl0_111 ),
    inference(avatar_split_clause,[],[f217,f835,f497]) ).

fof(f217,plain,
    ( c3_1(a2234)
    | ~ hskp52 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f833,plain,
    ( ~ spl0_41
    | spl0_110 ),
    inference(avatar_split_clause,[],[f218,f830,f497]) ).

fof(f218,plain,
    ( c2_1(a2234)
    | ~ hskp52 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f827,plain,
    ( ~ spl0_39
    | spl0_109 ),
    inference(avatar_split_clause,[],[f220,f824,f488]) ).

fof(f488,plain,
    ( spl0_39
  <=> hskp53 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f220,plain,
    ( c0_1(a2235)
    | ~ hskp53 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f822,plain,
    ( ~ spl0_39
    | spl0_108 ),
    inference(avatar_split_clause,[],[f221,f819,f488]) ).

fof(f221,plain,
    ( c2_1(a2235)
    | ~ hskp53 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f817,plain,
    ( ~ spl0_39
    | spl0_107 ),
    inference(avatar_split_clause,[],[f222,f814,f488]) ).

fof(f222,plain,
    ( c3_1(a2235)
    | ~ hskp53 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f779,plain,
    ( ~ spl0_11
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f232,f776,f377]) ).

fof(f377,plain,
    ( spl0_11
  <=> hskp56 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f232,plain,
    ( ~ c1_1(a2242)
    | ~ hskp56 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f774,plain,
    ( ~ spl0_11
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f233,f771,f377]) ).

fof(f233,plain,
    ( ~ c3_1(a2242)
    | ~ hskp56 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f769,plain,
    ( ~ spl0_11
    | spl0_98 ),
    inference(avatar_split_clause,[],[f234,f766,f377]) ).

fof(f234,plain,
    ( c2_1(a2242)
    | ~ hskp56 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f747,plain,
    ( ~ spl0_1
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f240,f744,f341]) ).

fof(f341,plain,
    ( spl0_1
  <=> hskp58 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f240,plain,
    ( ~ c2_1(a2252)
    | ~ hskp58 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f742,plain,
    ( ~ spl0_1
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f241,f739,f341]) ).

fof(f241,plain,
    ( ~ c1_1(a2252)
    | ~ hskp58 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f737,plain,
    ( ~ spl0_1
    | spl0_92 ),
    inference(avatar_split_clause,[],[f242,f734,f341]) ).

fof(f242,plain,
    ( c0_1(a2252)
    | ~ hskp58 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f732,plain,
    ( spl0_91
    | spl0_8
    | ~ spl0_3
    | spl0_42 ),
    inference(avatar_split_clause,[],[f303,f502,f348,f367,f729]) ).

fof(f303,plain,
    ! [X102,X103] :
      ( c0_1(X102)
      | ~ c3_1(X102)
      | ~ c1_1(X102)
      | ~ ndr1_0
      | ~ c2_1(X103)
      | c1_1(X103)
      | c0_1(X103)
      | hskp26 ),
    inference(duplicate_literal_removal,[],[f243]) ).

fof(f243,plain,
    ! [X102,X103] :
      ( c0_1(X102)
      | ~ c3_1(X102)
      | ~ c1_1(X102)
      | ~ ndr1_0
      | ~ c2_1(X103)
      | c1_1(X103)
      | c0_1(X103)
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f713,plain,
    ( spl0_87
    | spl0_28
    | ~ spl0_3
    | spl0_18 ),
    inference(avatar_split_clause,[],[f305,f405,f348,f443,f710]) ).

fof(f305,plain,
    ! [X98,X97] :
      ( c0_1(X97)
      | c1_1(X97)
      | c3_1(X97)
      | ~ ndr1_0
      | c3_1(X98)
      | c0_1(X98)
      | ~ c1_1(X98)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f246]) ).

fof(f246,plain,
    ! [X98,X97] :
      ( c0_1(X97)
      | c1_1(X97)
      | c3_1(X97)
      | ~ ndr1_0
      | c3_1(X98)
      | c0_1(X98)
      | ~ c1_1(X98)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f694,plain,
    ( spl0_54
    | ~ spl0_3
    | spl0_30
    | spl0_57 ),
    inference(avatar_split_clause,[],[f249,f568,f451,f348,f551]) ).

fof(f249,plain,
    ! [X95] :
      ( hskp34
      | ~ c2_1(X95)
      | c1_1(X95)
      | ~ c0_1(X95)
      | ~ ndr1_0
      | hskp33 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f693,plain,
    ( spl0_74
    | spl0_2
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f306,f364,f348,f345,f649]) ).

fof(f306,plain,
    ! [X94,X92,X93] :
      ( c3_1(X92)
      | c2_1(X92)
      | ~ c0_1(X92)
      | ~ ndr1_0
      | c2_1(X93)
      | ~ c3_1(X93)
      | c1_1(X93)
      | ~ c2_1(X94)
      | ~ c0_1(X94)
      | ~ c1_1(X94) ),
    inference(duplicate_literal_removal,[],[f250]) ).

fof(f250,plain,
    ! [X94,X92,X93] :
      ( c3_1(X92)
      | c2_1(X92)
      | ~ c0_1(X92)
      | ~ ndr1_0
      | c2_1(X93)
      | ~ c3_1(X93)
      | c1_1(X93)
      | ~ ndr1_0
      | ~ c2_1(X94)
      | ~ c0_1(X94)
      | ~ c1_1(X94)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f692,plain,
    ( spl0_16
    | ~ spl0_3
    | spl0_83
    | spl0_65 ),
    inference(avatar_split_clause,[],[f307,f607,f690,f348,f398]) ).

fof(f307,plain,
    ! [X90,X91] :
      ( hskp3
      | ~ c2_1(X90)
      | c1_1(X90)
      | c3_1(X90)
      | ~ ndr1_0
      | c1_1(X91)
      | ~ c2_1(X91)
      | ~ c3_1(X91) ),
    inference(duplicate_literal_removal,[],[f251]) ).

fof(f251,plain,
    ! [X90,X91] :
      ( hskp3
      | ~ c2_1(X90)
      | c1_1(X90)
      | c3_1(X90)
      | ~ ndr1_0
      | c1_1(X91)
      | ~ c2_1(X91)
      | ~ c3_1(X91)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f687,plain,
    ( spl0_80
    | spl0_81
    | spl0_82 ),
    inference(avatar_split_clause,[],[f253,f684,f680,f676]) ).

fof(f253,plain,
    ( hskp36
    | hskp35
    | hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f643,plain,
    ( spl0_71
    | spl0_72
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f259,f394,f348,f640,f636]) ).

fof(f259,plain,
    ! [X79] :
      ( ~ c0_1(X79)
      | c1_1(X79)
      | c2_1(X79)
      | ~ ndr1_0
      | hskp9
      | hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f634,plain,
    ( spl0_38
    | spl0_9
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f312,f367,f348,f370,f483]) ).

fof(f312,plain,
    ! [X78,X76,X77] :
      ( c1_1(X76)
      | ~ c2_1(X76)
      | c0_1(X76)
      | ~ ndr1_0
      | ~ c2_1(X77)
      | c3_1(X77)
      | ~ c0_1(X77)
      | c1_1(X78)
      | ~ c0_1(X78)
      | c3_1(X78) ),
    inference(duplicate_literal_removal,[],[f260]) ).

fof(f260,plain,
    ! [X78,X76,X77] :
      ( c1_1(X76)
      | ~ c2_1(X76)
      | c0_1(X76)
      | ~ ndr1_0
      | ~ c2_1(X77)
      | c3_1(X77)
      | ~ c0_1(X77)
      | ~ ndr1_0
      | c1_1(X78)
      | ~ c0_1(X78)
      | c3_1(X78)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f633,plain,
    ( spl0_38
    | ~ spl0_3
    | spl0_2
    | spl0_6 ),
    inference(avatar_split_clause,[],[f313,f359,f345,f348,f483]) ).

fof(f313,plain,
    ! [X74,X75] :
      ( hskp40
      | c2_1(X74)
      | c1_1(X74)
      | ~ c3_1(X74)
      | ~ ndr1_0
      | ~ c0_1(X75)
      | c3_1(X75)
      | c1_1(X75) ),
    inference(duplicate_literal_removal,[],[f261]) ).

fof(f261,plain,
    ! [X74,X75] :
      ( hskp40
      | c2_1(X74)
      | c1_1(X74)
      | ~ c3_1(X74)
      | ~ ndr1_0
      | ~ c0_1(X75)
      | c3_1(X75)
      | c1_1(X75)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f632,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_70
    | spl0_35 ),
    inference(avatar_split_clause,[],[f262,f471,f629,f374,f348]) ).

fof(f262,plain,
    ! [X73] :
      ( hskp10
      | hskp41
      | c0_1(X73)
      | c3_1(X73)
      | ~ c2_1(X73)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f627,plain,
    ( spl0_20
    | spl0_69
    | ~ spl0_3
    | spl0_34 ),
    inference(avatar_split_clause,[],[f314,f468,f348,f625,f412]) ).

fof(f314,plain,
    ! [X72,X70,X71] :
      ( ~ c1_1(X70)
      | ~ c3_1(X70)
      | c2_1(X70)
      | ~ ndr1_0
      | c2_1(X71)
      | ~ c1_1(X71)
      | ~ c0_1(X71)
      | c0_1(X72)
      | ~ c1_1(X72)
      | c2_1(X72) ),
    inference(duplicate_literal_removal,[],[f263]) ).

fof(f263,plain,
    ! [X72,X70,X71] :
      ( ~ c1_1(X70)
      | ~ c3_1(X70)
      | c2_1(X70)
      | ~ ndr1_0
      | c2_1(X71)
      | ~ c1_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | c0_1(X72)
      | ~ c1_1(X72)
      | c2_1(X72)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f623,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_67
    | spl0_68 ),
    inference(avatar_split_clause,[],[f264,f620,f616,f405,f348]) ).

fof(f264,plain,
    ! [X69] :
      ( hskp43
      | hskp42
      | c0_1(X69)
      | c3_1(X69)
      | c1_1(X69)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f614,plain,
    ( spl0_64
    | spl0_65
    | spl0_66 ),
    inference(avatar_split_clause,[],[f265,f611,f607,f603]) ).

fof(f265,plain,
    ( hskp12
    | hskp3
    | hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f596,plain,
    ( spl0_10
    | spl0_21
    | ~ spl0_3
    | spl0_42 ),
    inference(avatar_split_clause,[],[f316,f502,f348,f415,f374]) ).

fof(f316,plain,
    ! [X65,X66,X64] :
      ( ~ c1_1(X64)
      | c0_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | ~ c2_1(X65)
      | ~ c3_1(X65)
      | ~ c0_1(X65)
      | c0_1(X66)
      | ~ c2_1(X66)
      | c3_1(X66) ),
    inference(duplicate_literal_removal,[],[f267]) ).

fof(f267,plain,
    ! [X65,X66,X64] :
      ( ~ c1_1(X64)
      | c0_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | ~ c2_1(X65)
      | ~ c3_1(X65)
      | ~ c0_1(X65)
      | ~ ndr1_0
      | c0_1(X66)
      | ~ c2_1(X66)
      | c3_1(X66)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f595,plain,
    ( spl0_61
    | ~ spl0_3
    | spl0_7
    | spl0_62 ),
    inference(avatar_split_clause,[],[f268,f592,f364,f348,f588]) ).

fof(f268,plain,
    ! [X63] :
      ( hskp4
      | c2_1(X63)
      | c3_1(X63)
      | ~ c0_1(X63)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f586,plain,
    ( spl0_10
    | spl0_8
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f317,f398,f348,f367,f374]) ).

fof(f317,plain,
    ! [X62,X60,X61] :
      ( ~ c3_1(X60)
      | c1_1(X60)
      | ~ c2_1(X60)
      | ~ ndr1_0
      | ~ c2_1(X61)
      | c0_1(X61)
      | c1_1(X61)
      | ~ c2_1(X62)
      | c3_1(X62)
      | c0_1(X62) ),
    inference(duplicate_literal_removal,[],[f269]) ).

fof(f269,plain,
    ! [X62,X60,X61] :
      ( ~ c3_1(X60)
      | c1_1(X60)
      | ~ c2_1(X60)
      | ~ ndr1_0
      | ~ c2_1(X61)
      | c0_1(X61)
      | c1_1(X61)
      | ~ ndr1_0
      | ~ c2_1(X62)
      | c3_1(X62)
      | c0_1(X62)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f585,plain,
    ( spl0_60
    | spl0_4
    | ~ spl0_3
    | spl0_26 ),
    inference(avatar_split_clause,[],[f318,f435,f348,f353,f582]) ).

fof(f318,plain,
    ! [X58,X59] :
      ( ~ c0_1(X58)
      | ~ c3_1(X58)
      | c1_1(X58)
      | ~ ndr1_0
      | ~ c0_1(X59)
      | c2_1(X59)
      | ~ c3_1(X59)
      | hskp44 ),
    inference(duplicate_literal_removal,[],[f270]) ).

fof(f270,plain,
    ! [X58,X59] :
      ( ~ c0_1(X58)
      | ~ c3_1(X58)
      | c1_1(X58)
      | ~ ndr1_0
      | ~ c0_1(X59)
      | c2_1(X59)
      | ~ c3_1(X59)
      | ~ ndr1_0
      | hskp44 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f571,plain,
    ( ~ spl0_3
    | spl0_26
    | spl0_56
    | spl0_57 ),
    inference(avatar_split_clause,[],[f272,f568,f564,f435,f348]) ).

fof(f272,plain,
    ! [X56] :
      ( hskp34
      | hskp46
      | ~ c3_1(X56)
      | c1_1(X56)
      | ~ c0_1(X56)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f562,plain,
    ( spl0_4
    | spl0_12
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f319,f402,f348,f382,f353]) ).

fof(f319,plain,
    ! [X54,X55,X53] :
      ( c3_1(X53)
      | c2_1(X53)
      | c1_1(X53)
      | ~ ndr1_0
      | c0_1(X54)
      | c2_1(X54)
      | c3_1(X54)
      | ~ c0_1(X55)
      | c2_1(X55)
      | ~ c3_1(X55) ),
    inference(duplicate_literal_removal,[],[f273]) ).

fof(f273,plain,
    ! [X54,X55,X53] :
      ( c3_1(X53)
      | c2_1(X53)
      | c1_1(X53)
      | ~ ndr1_0
      | c0_1(X54)
      | c2_1(X54)
      | c3_1(X54)
      | ~ ndr1_0
      | ~ c0_1(X55)
      | c2_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f561,plain,
    ( spl0_55
    | spl0_22
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f274,f367,f348,f419,f558]) ).

fof(f274,plain,
    ! [X52] :
      ( c1_1(X52)
      | ~ c2_1(X52)
      | c0_1(X52)
      | ~ ndr1_0
      | hskp17
      | hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f556,plain,
    ( spl0_51
    | ~ spl0_3
    | spl0_23
    | spl0_49 ),
    inference(avatar_split_clause,[],[f275,f528,f423,f348,f538]) ).

fof(f275,plain,
    ! [X51] :
      ( hskp31
      | c3_1(X51)
      | ~ c2_1(X51)
      | ~ c1_1(X51)
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f554,plain,
    ( spl0_38
    | spl0_54
    | ~ spl0_3
    | spl0_20 ),
    inference(avatar_split_clause,[],[f321,f412,f348,f551,f483]) ).

fof(f321,plain,
    ! [X48,X47] :
      ( c0_1(X47)
      | ~ c1_1(X47)
      | c2_1(X47)
      | ~ ndr1_0
      | hskp33
      | c3_1(X48)
      | ~ c0_1(X48)
      | c1_1(X48) ),
    inference(duplicate_literal_removal,[],[f277]) ).

fof(f277,plain,
    ! [X48,X47] :
      ( c0_1(X47)
      | ~ c1_1(X47)
      | c2_1(X47)
      | ~ ndr1_0
      | hskp33
      | c3_1(X48)
      | ~ c0_1(X48)
      | c1_1(X48)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f549,plain,
    ( spl0_53
    | spl0_19
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f322,f402,f348,f409,f546]) ).

fof(f322,plain,
    ! [X46,X45] :
      ( c3_1(X45)
      | c2_1(X45)
      | c1_1(X45)
      | ~ ndr1_0
      | c2_1(X46)
      | c0_1(X46)
      | ~ c3_1(X46)
      | hskp47 ),
    inference(duplicate_literal_removal,[],[f278]) ).

fof(f278,plain,
    ! [X46,X45] :
      ( c3_1(X45)
      | c2_1(X45)
      | c1_1(X45)
      | ~ ndr1_0
      | c2_1(X46)
      | c0_1(X46)
      | ~ c3_1(X46)
      | ~ ndr1_0
      | hskp47 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f544,plain,
    ( spl0_51
    | spl0_52
    | ~ spl0_3
    | spl0_52 ),
    inference(avatar_split_clause,[],[f323,f542,f348,f542,f538]) ).

fof(f323,plain,
    ! [X44,X43] :
      ( c2_1(X43)
      | ~ c1_1(X43)
      | c3_1(X43)
      | ~ ndr1_0
      | c2_1(X44)
      | c3_1(X44)
      | ~ c1_1(X44)
      | hskp18 ),
    inference(duplicate_literal_removal,[],[f279]) ).

fof(f279,plain,
    ! [X44,X43] :
      ( c2_1(X43)
      | ~ c1_1(X43)
      | c3_1(X43)
      | ~ ndr1_0
      | c2_1(X44)
      | c3_1(X44)
      | ~ c1_1(X44)
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f536,plain,
    ( spl0_42
    | ~ spl0_3
    | spl0_46
    | spl0_50 ),
    inference(avatar_split_clause,[],[f324,f533,f517,f348,f502]) ).

fof(f324,plain,
    ! [X41,X42] :
      ( hskp48
      | ~ c1_1(X41)
      | c0_1(X41)
      | ~ c2_1(X41)
      | ~ ndr1_0
      | c0_1(X42)
      | ~ c3_1(X42)
      | ~ c1_1(X42) ),
    inference(duplicate_literal_removal,[],[f280]) ).

fof(f280,plain,
    ! [X41,X42] :
      ( hskp48
      | ~ c1_1(X41)
      | c0_1(X41)
      | ~ c2_1(X41)
      | ~ ndr1_0
      | c0_1(X42)
      | ~ c3_1(X42)
      | ~ c1_1(X42)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f507,plain,
    ( spl0_42
    | spl0_10
    | ~ spl0_3
    | spl0_43 ),
    inference(avatar_split_clause,[],[f325,f505,f348,f374,f502]) ).

fof(f325,plain,
    ! [X38,X36,X37] :
      ( ~ c0_1(X36)
      | c3_1(X36)
      | ~ c1_1(X36)
      | ~ ndr1_0
      | ~ c2_1(X37)
      | c0_1(X37)
      | c3_1(X37)
      | c0_1(X38)
      | ~ c1_1(X38)
      | ~ c3_1(X38) ),
    inference(duplicate_literal_removal,[],[f283]) ).

fof(f283,plain,
    ! [X38,X36,X37] :
      ( ~ c0_1(X36)
      | c3_1(X36)
      | ~ c1_1(X36)
      | ~ ndr1_0
      | ~ c2_1(X37)
      | c0_1(X37)
      | c3_1(X37)
      | ~ ndr1_0
      | c0_1(X38)
      | ~ c1_1(X38)
      | ~ c3_1(X38)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f500,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_40
    | spl0_41 ),
    inference(avatar_split_clause,[],[f284,f497,f493,f374,f348]) ).

fof(f284,plain,
    ! [X35] :
      ( hskp52
      | hskp19
      | c0_1(X35)
      | ~ c2_1(X35)
      | c3_1(X35)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f491,plain,
    ( spl0_38
    | spl0_39
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f326,f402,f348,f488,f483]) ).

fof(f326,plain,
    ! [X34,X33] :
      ( c1_1(X33)
      | c2_1(X33)
      | c3_1(X33)
      | ~ ndr1_0
      | hskp53
      | c1_1(X34)
      | c3_1(X34)
      | ~ c0_1(X34) ),
    inference(duplicate_literal_removal,[],[f285]) ).

fof(f285,plain,
    ! [X34,X33] :
      ( c1_1(X33)
      | c2_1(X33)
      | c3_1(X33)
      | ~ ndr1_0
      | hskp53
      | c1_1(X34)
      | c3_1(X34)
      | ~ c0_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f486,plain,
    ( spl0_9
    | spl0_35
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f327,f345,f348,f471,f370]) ).

fof(f327,plain,
    ! [X31,X32] :
      ( c1_1(X31)
      | ~ c3_1(X31)
      | c2_1(X31)
      | ~ ndr1_0
      | hskp10
      | c3_1(X32)
      | ~ c0_1(X32)
      | ~ c2_1(X32) ),
    inference(duplicate_literal_removal,[],[f286]) ).

fof(f286,plain,
    ! [X31,X32] :
      ( c1_1(X31)
      | ~ c3_1(X31)
      | c2_1(X31)
      | ~ ndr1_0
      | hskp10
      | c3_1(X32)
      | ~ c0_1(X32)
      | ~ c2_1(X32)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f485,plain,
    ( spl0_36
    | spl0_37
    | ~ spl0_3
    | spl0_38 ),
    inference(avatar_split_clause,[],[f328,f483,f348,f480,f476]) ).

fof(f328,plain,
    ! [X29,X30] :
      ( ~ c0_1(X29)
      | c1_1(X29)
      | c3_1(X29)
      | ~ ndr1_0
      | ~ c2_1(X30)
      | ~ c3_1(X30)
      | ~ c1_1(X30)
      | hskp20 ),
    inference(duplicate_literal_removal,[],[f287]) ).

fof(f287,plain,
    ! [X29,X30] :
      ( ~ c0_1(X29)
      | c1_1(X29)
      | c3_1(X29)
      | ~ ndr1_0
      | ~ c2_1(X30)
      | ~ c3_1(X30)
      | ~ c1_1(X30)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f474,plain,
    ( spl0_34
    | ~ spl0_3
    | spl0_4
    | spl0_35 ),
    inference(avatar_split_clause,[],[f329,f471,f353,f348,f468]) ).

fof(f329,plain,
    ! [X28,X27] :
      ( hskp10
      | ~ c0_1(X27)
      | c2_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | ~ c1_1(X28)
      | c2_1(X28)
      | ~ c3_1(X28) ),
    inference(duplicate_literal_removal,[],[f288]) ).

fof(f288,plain,
    ! [X28,X27] :
      ( hskp10
      | ~ c0_1(X27)
      | c2_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | ~ c1_1(X28)
      | c2_1(X28)
      | ~ c3_1(X28)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f453,plain,
    ( spl0_15
    | spl0_11
    | ~ spl0_3
    | spl0_30 ),
    inference(avatar_split_clause,[],[f330,f451,f348,f377,f394]) ).

fof(f330,plain,
    ! [X26,X25] :
      ( ~ c2_1(X25)
      | ~ c0_1(X25)
      | c1_1(X25)
      | ~ ndr1_0
      | hskp56
      | c2_1(X26)
      | ~ c0_1(X26)
      | c1_1(X26) ),
    inference(duplicate_literal_removal,[],[f290]) ).

fof(f290,plain,
    ! [X26,X25] :
      ( ~ c2_1(X25)
      | ~ c0_1(X25)
      | c1_1(X25)
      | ~ ndr1_0
      | hskp56
      | c2_1(X26)
      | ~ c0_1(X26)
      | c1_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f425,plain,
    ( spl0_22
    | ~ spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f293,f423,f348,f419]) ).

fof(f293,plain,
    ! [X22] :
      ( ~ c1_1(X22)
      | c3_1(X22)
      | ~ c2_1(X22)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f417,plain,
    ( spl0_19
    | spl0_20
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f331,f415,f348,f412,f409]) ).

fof(f331,plain,
    ! [X21,X19,X20] :
      ( ~ c3_1(X19)
      | ~ c0_1(X19)
      | ~ c2_1(X19)
      | ~ ndr1_0
      | ~ c1_1(X20)
      | c2_1(X20)
      | c0_1(X20)
      | ~ c3_1(X21)
      | c0_1(X21)
      | c2_1(X21) ),
    inference(duplicate_literal_removal,[],[f294]) ).

fof(f294,plain,
    ! [X21,X19,X20] :
      ( ~ c3_1(X19)
      | ~ c0_1(X19)
      | ~ c2_1(X19)
      | ~ ndr1_0
      | ~ c1_1(X20)
      | c2_1(X20)
      | c0_1(X20)
      | ~ ndr1_0
      | ~ c3_1(X21)
      | c0_1(X21)
      | c2_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f407,plain,
    ( spl0_17
    | spl0_18
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f332,f353,f348,f405,f402]) ).

fof(f332,plain,
    ! [X18,X16,X17] :
      ( ~ c3_1(X16)
      | ~ c0_1(X16)
      | c2_1(X16)
      | ~ ndr1_0
      | c3_1(X17)
      | c1_1(X17)
      | c0_1(X17)
      | c3_1(X18)
      | c2_1(X18)
      | c1_1(X18) ),
    inference(duplicate_literal_removal,[],[f295]) ).

fof(f295,plain,
    ! [X18,X16,X17] :
      ( ~ c3_1(X16)
      | ~ c0_1(X16)
      | c2_1(X16)
      | ~ ndr1_0
      | c3_1(X17)
      | c1_1(X17)
      | c0_1(X17)
      | ~ ndr1_0
      | c3_1(X18)
      | c2_1(X18)
      | c1_1(X18)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f400,plain,
    ( spl0_8
    | spl0_16
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f333,f394,f348,f398,f367]) ).

fof(f333,plain,
    ! [X14,X15,X13] :
      ( c1_1(X13)
      | ~ c0_1(X13)
      | c2_1(X13)
      | ~ ndr1_0
      | ~ c2_1(X14)
      | ~ c3_1(X14)
      | c1_1(X14)
      | c1_1(X15)
      | ~ c2_1(X15)
      | c0_1(X15) ),
    inference(duplicate_literal_removal,[],[f296]) ).

fof(f296,plain,
    ! [X14,X15,X13] :
      ( c1_1(X13)
      | ~ c0_1(X13)
      | c2_1(X13)
      | ~ ndr1_0
      | ~ c2_1(X14)
      | ~ c3_1(X14)
      | c1_1(X14)
      | ~ ndr1_0
      | c1_1(X15)
      | ~ c2_1(X15)
      | c0_1(X15)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f396,plain,
    ( spl0_14
    | spl0_15
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f334,f345,f348,f394,f390]) ).

fof(f334,plain,
    ! [X11,X12] :
      ( ~ c3_1(X11)
      | c1_1(X11)
      | c2_1(X11)
      | ~ ndr1_0
      | c2_1(X12)
      | c1_1(X12)
      | ~ c0_1(X12)
      | hskp32 ),
    inference(duplicate_literal_removal,[],[f297]) ).

fof(f297,plain,
    ! [X11,X12] :
      ( ~ c3_1(X11)
      | c1_1(X11)
      | c2_1(X11)
      | ~ ndr1_0
      | c2_1(X12)
      | c1_1(X12)
      | ~ c0_1(X12)
      | ~ ndr1_0
      | hskp32 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f388,plain,
    ( spl0_5
    | ~ spl0_3
    | spl0_12
    | spl0_13 ),
    inference(avatar_split_clause,[],[f335,f385,f382,f348,f356]) ).

fof(f335,plain,
    ! [X10,X9] :
      ( hskp25
      | c2_1(X9)
      | c0_1(X9)
      | c3_1(X9)
      | ~ ndr1_0
      | ~ c2_1(X10)
      | ~ c3_1(X10)
      | c0_1(X10) ),
    inference(duplicate_literal_removal,[],[f298]) ).

fof(f298,plain,
    ! [X10,X9] :
      ( hskp25
      | c2_1(X9)
      | c0_1(X9)
      | c3_1(X9)
      | ~ ndr1_0
      | ~ c2_1(X10)
      | ~ c3_1(X10)
      | c0_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f380,plain,
    ( spl0_10
    | spl0_11
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f336,f370,f348,f377,f374]) ).

fof(f336,plain,
    ! [X8,X7] :
      ( ~ c0_1(X7)
      | ~ c2_1(X7)
      | c3_1(X7)
      | ~ ndr1_0
      | hskp56
      | ~ c2_1(X8)
      | c0_1(X8)
      | c3_1(X8) ),
    inference(duplicate_literal_removal,[],[f299]) ).

fof(f299,plain,
    ! [X8,X7] :
      ( ~ c0_1(X7)
      | ~ c2_1(X7)
      | c3_1(X7)
      | ~ ndr1_0
      | hskp56
      | ~ c2_1(X8)
      | c0_1(X8)
      | c3_1(X8)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f372,plain,
    ( spl0_7
    | spl0_8
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f337,f370,f348,f367,f364]) ).

fof(f337,plain,
    ! [X6,X4,X5] :
      ( ~ c2_1(X4)
      | ~ c0_1(X4)
      | c3_1(X4)
      | ~ ndr1_0
      | c1_1(X5)
      | c0_1(X5)
      | ~ c2_1(X5)
      | ~ c0_1(X6)
      | c2_1(X6)
      | c3_1(X6) ),
    inference(duplicate_literal_removal,[],[f300]) ).

fof(f300,plain,
    ! [X6,X4,X5] :
      ( ~ c2_1(X4)
      | ~ c0_1(X4)
      | c3_1(X4)
      | ~ ndr1_0
      | c1_1(X5)
      | c0_1(X5)
      | ~ c2_1(X5)
      | ~ ndr1_0
      | ~ c0_1(X6)
      | c2_1(X6)
      | c3_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f362,plain,
    ( spl0_4
    | ~ spl0_3
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f338,f359,f356,f348,f353]) ).

fof(f338,plain,
    ! [X2,X3] :
      ( hskp40
      | c0_1(X2)
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | ~ ndr1_0
      | ~ c0_1(X3)
      | ~ c3_1(X3)
      | c2_1(X3) ),
    inference(duplicate_literal_removal,[],[f301]) ).

fof(f301,plain,
    ! [X2,X3] :
      ( hskp40
      | c0_1(X2)
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | ~ ndr1_0
      | ~ c0_1(X3)
      | ~ c3_1(X3)
      | c2_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f351,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f339,f345,f348,f345,f341]) ).

fof(f339,plain,
    ! [X0,X1] :
      ( c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c2_1(X1)
      | ~ c3_1(X1)
      | hskp58 ),
    inference(duplicate_literal_removal,[],[f302]) ).

fof(f302,plain,
    ! [X0,X1] :
      ( c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | hskp58 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN460+1 : TPTP v8.1.2. Released v2.1.0.
% 0.13/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n025.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Apr 30 02:09:41 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (4711)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37  % (4714)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.20/0.37  % (4713)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.37  % (4712)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.37  % (4717)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.20/0.37  % (4715)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.20/0.37  % (4716)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.20/0.37  % (4718)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.37  Detected minimum model sizes of [1]
% 0.20/0.37  Detected maximum model sizes of [59]
% 0.20/0.38  TRYING [1]
% 0.20/0.38  Detected minimum model sizes of [1]
% 0.20/0.38  Detected maximum model sizes of [59]
% 0.20/0.38  TRYING [1]
% 0.20/0.38  TRYING [2]
% 0.20/0.38  TRYING [2]
% 0.20/0.38  Detected minimum model sizes of [1]
% 0.20/0.38  Detected maximum model sizes of [59]
% 0.20/0.38  TRYING [1]
% 0.20/0.38  TRYING [3]
% 0.20/0.38  Detected minimum model sizes of [1]
% 0.20/0.38  Detected maximum model sizes of [59]
% 0.20/0.38  TRYING [2]
% 0.20/0.38  TRYING [1]
% 0.20/0.38  TRYING [3]
% 0.20/0.38  TRYING [2]
% 0.20/0.39  TRYING [3]
% 0.20/0.39  TRYING [3]
% 0.20/0.39  TRYING [4]
% 0.20/0.39  TRYING [4]
% 0.20/0.39  TRYING [4]
% 0.20/0.39  TRYING [4]
% 0.20/0.41  TRYING [5]
% 0.20/0.41  TRYING [5]
% 0.20/0.41  TRYING [5]
% 0.20/0.41  TRYING [5]
% 0.20/0.48  % (4717)First to succeed.
% 0.20/0.49  TRYING [6]
% 0.20/0.49  TRYING [6]
% 0.20/0.50  % (4714)Also succeeded, but the first one will report.
% 0.20/0.50  % (4717)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Theorem for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (4717)------------------------------
% 0.20/0.50  % (4717)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.50  % (4717)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (4717)Memory used [KB]: 3620
% 0.20/0.50  % (4717)Time elapsed: 0.127 s
% 0.20/0.50  % (4717)Instructions burned: 242 (million)
% 0.20/0.50  % (4717)------------------------------
% 0.20/0.50  % (4717)------------------------------
% 0.20/0.50  % (4711)Success in time 0.14 s
%------------------------------------------------------------------------------