TSTP Solution File: SYN503+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN503+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:38:35 EDT 2022

% Result   : Theorem 1.93s 0.63s
% Output   : Refutation 2.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  160
% Syntax   : Number of formulae    :  694 (   1 unt;   0 def)
%            Number of atoms       : 7780 (   0 equ)
%            Maximal formula atoms :  771 (  11 avg)
%            Number of connectives : 10623 (3537   ~;5022   |;1393   &)
%                                         ( 159 <=>; 512  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  119 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  195 ( 194 usr; 191 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   : 1103 (1103   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2261,plain,
    $false,
    inference(avatar_sat_refutation,[],[f260,f278,f290,f303,f310,f325,f334,f343,f352,f362,f374,f397,f406,f417,f426,f430,f435,f449,f454,f459,f464,f469,f479,f494,f499,f520,f529,f530,f531,f540,f550,f551,f552,f557,f566,f573,f578,f583,f592,f602,f607,f612,f613,f618,f626,f630,f635,f641,f651,f661,f667,f671,f676,f681,f692,f696,f701,f707,f708,f713,f719,f726,f727,f728,f729,f734,f738,f747,f755,f762,f767,f774,f780,f785,f790,f795,f801,f805,f807,f808,f814,f824,f831,f835,f836,f847,f852,f858,f859,f864,f870,f872,f878,f883,f888,f900,f901,f906,f907,f912,f917,f922,f923,f925,f927,f928,f930,f934,f944,f950,f953,f958,f963,f964,f969,f974,f979,f980,f985,f986,f991,f992,f997,f998,f1003,f1008,f1013,f1018,f1019,f1024,f1030,f1042,f1047,f1055,f1060,f1067,f1068,f1077,f1081,f1082,f1087,f1095,f1099,f1100,f1101,f1109,f1117,f1128,f1135,f1142,f1161,f1200,f1201,f1217,f1240,f1250,f1277,f1290,f1297,f1359,f1360,f1392,f1395,f1397,f1407,f1428,f1433,f1434,f1435,f1458,f1459,f1470,f1475,f1476,f1488,f1489,f1492,f1504,f1518,f1519,f1551,f1564,f1584,f1633,f1738,f1740,f1757,f1770,f1773,f1775,f1785,f1803,f1822,f1853,f1897,f1919,f1942,f1943,f1955,f1982,f2023,f2067,f2073,f2142,f2164,f2165,f2202,f2208,f2242,f2243,f2259]) ).

fof(f2259,plain,
    ( spl0_119
    | spl0_173
    | ~ spl0_28
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2252,f919,f369,f1363,f828]) ).

fof(f828,plain,
    ( spl0_119
  <=> c2_1(a242) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1363,plain,
    ( spl0_173
  <=> c3_1(a242) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f369,plain,
    ( spl0_28
  <=> ! [X10] :
        ( c3_1(X10)
        | c2_1(X10)
        | ~ c1_1(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f919,plain,
    ( spl0_135
  <=> c1_1(a242) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f2252,plain,
    ( c3_1(a242)
    | c2_1(a242)
    | ~ spl0_28
    | ~ spl0_135 ),
    inference(resolution,[],[f370,f921]) ).

fof(f921,plain,
    ( c1_1(a242)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f370,plain,
    ( ! [X10] :
        ( ~ c1_1(X10)
        | c3_1(X10)
        | c2_1(X10) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f2243,plain,
    ( spl0_183
    | ~ spl0_78
    | ~ spl0_6
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f2240,f372,f275,f604,f1819]) ).

fof(f1819,plain,
    ( spl0_183
  <=> c3_1(a282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f604,plain,
    ( spl0_78
  <=> c1_1(a282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f275,plain,
    ( spl0_6
  <=> c0_1(a282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f372,plain,
    ( spl0_29
  <=> ! [X9] :
        ( ~ c0_1(X9)
        | ~ c1_1(X9)
        | c3_1(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f2240,plain,
    ( ~ c1_1(a282)
    | c3_1(a282)
    | ~ spl0_6
    | ~ spl0_29 ),
    inference(resolution,[],[f373,f277]) ).

fof(f277,plain,
    ( c0_1(a282)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f373,plain,
    ( ! [X9] :
        ( ~ c0_1(X9)
        | c3_1(X9)
        | ~ c1_1(X9) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f2242,plain,
    ( ~ spl0_182
    | spl0_142
    | ~ spl0_29
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2236,f764,f372,f966,f1800]) ).

fof(f1800,plain,
    ( spl0_182
  <=> c1_1(a236) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f966,plain,
    ( spl0_142
  <=> c3_1(a236) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f764,plain,
    ( spl0_108
  <=> c0_1(a236) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f2236,plain,
    ( c3_1(a236)
    | ~ c1_1(a236)
    | ~ spl0_29
    | ~ spl0_108 ),
    inference(resolution,[],[f373,f766]) ).

fof(f766,plain,
    ( c0_1(a236)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f2208,plain,
    ( ~ spl0_23
    | spl0_71
    | ~ spl0_60
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f2207,f710,f514,f570,f345]) ).

fof(f345,plain,
    ( spl0_23
  <=> c1_1(a231) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f570,plain,
    ( spl0_71
  <=> c0_1(a231) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f514,plain,
    ( spl0_60
  <=> ! [X98] :
        ( ~ c3_1(X98)
        | ~ c1_1(X98)
        | c0_1(X98) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f710,plain,
    ( spl0_99
  <=> c3_1(a231) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f2207,plain,
    ( c0_1(a231)
    | ~ c1_1(a231)
    | ~ spl0_60
    | ~ spl0_99 ),
    inference(resolution,[],[f712,f515]) ).

fof(f515,plain,
    ( ! [X98] :
        ( ~ c3_1(X98)
        | ~ c1_1(X98)
        | c0_1(X98) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f712,plain,
    ( c3_1(a231)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f2202,plain,
    ( ~ spl0_165
    | ~ spl0_109
    | ~ spl0_16
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2148,f994,f317,f771,f1170]) ).

fof(f1170,plain,
    ( spl0_165
  <=> c2_1(a234) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f771,plain,
    ( spl0_109
  <=> c3_1(a234) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f317,plain,
    ( spl0_16
  <=> ! [X12] :
        ( ~ c0_1(X12)
        | ~ c2_1(X12)
        | ~ c3_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f994,plain,
    ( spl0_147
  <=> c0_1(a234) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f2148,plain,
    ( ~ c3_1(a234)
    | ~ c2_1(a234)
    | ~ spl0_16
    | ~ spl0_147 ),
    inference(resolution,[],[f996,f318]) ).

fof(f318,plain,
    ( ! [X12] :
        ( ~ c0_1(X12)
        | ~ c2_1(X12)
        | ~ c3_1(X12) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f996,plain,
    ( c0_1(a234)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f994]) ).

fof(f2165,plain,
    ( spl0_98
    | spl0_143
    | ~ spl0_103
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f2162,f1472,f736,f971,f704]) ).

fof(f704,plain,
    ( spl0_98
  <=> c0_1(a215) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f971,plain,
    ( spl0_143
  <=> c1_1(a215) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f736,plain,
    ( spl0_103
  <=> ! [X61] :
        ( ~ c3_1(X61)
        | c1_1(X61)
        | c0_1(X61) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1472,plain,
    ( spl0_177
  <=> c3_1(a215) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f2162,plain,
    ( c1_1(a215)
    | c0_1(a215)
    | ~ spl0_103
    | ~ spl0_177 ),
    inference(resolution,[],[f1474,f737]) ).

fof(f737,plain,
    ( ! [X61] :
        ( ~ c3_1(X61)
        | c1_1(X61)
        | c0_1(X61) )
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f1474,plain,
    ( c3_1(a215)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1472]) ).

fof(f2164,plain,
    ( ~ spl0_149
    | spl0_143
    | ~ spl0_91
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f2160,f1472,f669,f971,f1005]) ).

fof(f1005,plain,
    ( spl0_149
  <=> c2_1(a215) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f669,plain,
    ( spl0_91
  <=> ! [X33] :
        ( ~ c2_1(X33)
        | ~ c3_1(X33)
        | c1_1(X33) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f2160,plain,
    ( c1_1(a215)
    | ~ c2_1(a215)
    | ~ spl0_91
    | ~ spl0_177 ),
    inference(resolution,[],[f1474,f670]) ).

fof(f670,plain,
    ( ! [X33] :
        ( ~ c3_1(X33)
        | ~ c2_1(X33)
        | c1_1(X33) )
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f2142,plain,
    ( spl0_177
    | spl0_98
    | ~ spl0_120
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f2129,f1005,f833,f704,f1472]) ).

fof(f833,plain,
    ( spl0_120
  <=> ! [X64] :
        ( ~ c2_1(X64)
        | c0_1(X64)
        | c3_1(X64) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f2129,plain,
    ( c0_1(a215)
    | c3_1(a215)
    | ~ spl0_120
    | ~ spl0_149 ),
    inference(resolution,[],[f834,f1007]) ).

fof(f1007,plain,
    ( c2_1(a215)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f1005]) ).

fof(f834,plain,
    ( ! [X64] :
        ( ~ c2_1(X64)
        | c3_1(X64)
        | c0_1(X64) )
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f2073,plain,
    ( spl0_113
    | spl0_114
    | ~ spl0_18
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f2072,f1182,f323,f798,f792]) ).

fof(f792,plain,
    ( spl0_113
  <=> c0_1(a214) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f798,plain,
    ( spl0_114
  <=> c3_1(a214) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f323,plain,
    ( spl0_18
  <=> ! [X14] :
        ( c0_1(X14)
        | ~ c1_1(X14)
        | c3_1(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1182,plain,
    ( spl0_166
  <=> c1_1(a214) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f2072,plain,
    ( c3_1(a214)
    | c0_1(a214)
    | ~ spl0_18
    | ~ spl0_166 ),
    inference(resolution,[],[f1184,f324]) ).

fof(f324,plain,
    ( ! [X14] :
        ( ~ c1_1(X14)
        | c0_1(X14)
        | c3_1(X14) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f1184,plain,
    ( c1_1(a214)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1182]) ).

fof(f2067,plain,
    ( spl0_164
    | spl0_112
    | ~ spl0_86
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2055,f723,f644,f787,f1164]) ).

fof(f1164,plain,
    ( spl0_164
  <=> c3_1(a226) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f787,plain,
    ( spl0_112
  <=> c2_1(a226) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f644,plain,
    ( spl0_86
  <=> ! [X116] :
        ( c2_1(X116)
        | c3_1(X116)
        | ~ c0_1(X116) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f723,plain,
    ( spl0_101
  <=> c0_1(a226) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f2055,plain,
    ( c2_1(a226)
    | c3_1(a226)
    | ~ spl0_86
    | ~ spl0_101 ),
    inference(resolution,[],[f645,f725]) ).

fof(f725,plain,
    ( c0_1(a226)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f723]) ).

fof(f645,plain,
    ( ! [X116] :
        ( ~ c0_1(X116)
        | c3_1(X116)
        | c2_1(X116) )
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f2023,plain,
    ( spl0_85
    | spl0_144
    | ~ spl0_30
    | spl0_162 ),
    inference(avatar_split_clause,[],[f2012,f1130,f376,f976,f638]) ).

fof(f638,plain,
    ( spl0_85
  <=> c1_1(a271) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f976,plain,
    ( spl0_144
  <=> c2_1(a271) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f376,plain,
    ( spl0_30
  <=> ! [X75] :
        ( c2_1(X75)
        | c1_1(X75)
        | c3_1(X75) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1130,plain,
    ( spl0_162
  <=> c3_1(a271) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f2012,plain,
    ( c2_1(a271)
    | c1_1(a271)
    | ~ spl0_30
    | spl0_162 ),
    inference(resolution,[],[f377,f1131]) ).

fof(f1131,plain,
    ( ~ c3_1(a271)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1130]) ).

fof(f377,plain,
    ( ! [X75] :
        ( c3_1(X75)
        | c2_1(X75)
        | c1_1(X75) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f1982,plain,
    ( spl0_112
    | ~ spl0_164
    | ~ spl0_61
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1980,f723,f518,f1164,f787]) ).

fof(f518,plain,
    ( spl0_61
  <=> ! [X127] :
        ( ~ c0_1(X127)
        | ~ c3_1(X127)
        | c2_1(X127) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1980,plain,
    ( ~ c3_1(a226)
    | c2_1(a226)
    | ~ spl0_61
    | ~ spl0_101 ),
    inference(resolution,[],[f725,f519]) ).

fof(f519,plain,
    ( ! [X127] :
        ( ~ c0_1(X127)
        | c2_1(X127)
        | ~ c3_1(X127) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f1955,plain,
    ( ~ spl0_163
    | ~ spl0_65
    | ~ spl0_33
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1951,f563,f390,f537,f1139]) ).

fof(f1139,plain,
    ( spl0_163
  <=> c1_1(a320) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f537,plain,
    ( spl0_65
  <=> c2_1(a320) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f390,plain,
    ( spl0_33
  <=> c3_1(a320) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f563,plain,
    ( spl0_70
  <=> ! [X27] :
        ( ~ c2_1(X27)
        | ~ c3_1(X27)
        | ~ c1_1(X27) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1951,plain,
    ( ~ c2_1(a320)
    | ~ c1_1(a320)
    | ~ spl0_33
    | ~ spl0_70 ),
    inference(resolution,[],[f392,f564]) ).

fof(f564,plain,
    ( ! [X27] :
        ( ~ c3_1(X27)
        | ~ c1_1(X27)
        | ~ c2_1(X27) )
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f563]) ).

fof(f392,plain,
    ( c3_1(a320)
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f1943,plain,
    ( ~ spl0_152
    | ~ spl0_165
    | ~ spl0_70
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1937,f771,f563,f1170,f1021]) ).

fof(f1021,plain,
    ( spl0_152
  <=> c1_1(a234) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1937,plain,
    ( ~ c2_1(a234)
    | ~ c1_1(a234)
    | ~ spl0_70
    | ~ spl0_109 ),
    inference(resolution,[],[f564,f773]) ).

fof(f773,plain,
    ( c3_1(a234)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f1942,plain,
    ( ~ spl0_80
    | ~ spl0_116
    | ~ spl0_52
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1938,f563,f476,f811,f615]) ).

fof(f615,plain,
    ( spl0_80
  <=> c1_1(a261) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f811,plain,
    ( spl0_116
  <=> c2_1(a261) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f476,plain,
    ( spl0_52
  <=> c3_1(a261) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1938,plain,
    ( ~ c2_1(a261)
    | ~ c1_1(a261)
    | ~ spl0_52
    | ~ spl0_70 ),
    inference(resolution,[],[f564,f478]) ).

fof(f478,plain,
    ( c3_1(a261)
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f1919,plain,
    ( spl0_126
    | spl0_170
    | ~ spl0_64
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1908,f914,f533,f1237,f867]) ).

fof(f867,plain,
    ( spl0_126
  <=> c2_1(a248) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1237,plain,
    ( spl0_170
  <=> c0_1(a248) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f533,plain,
    ( spl0_64
  <=> ! [X102] :
        ( ~ c1_1(X102)
        | c0_1(X102)
        | c2_1(X102) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f914,plain,
    ( spl0_134
  <=> c1_1(a248) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1908,plain,
    ( c0_1(a248)
    | c2_1(a248)
    | ~ spl0_64
    | ~ spl0_134 ),
    inference(resolution,[],[f534,f916]) ).

fof(f916,plain,
    ( c1_1(a248)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f914]) ).

fof(f534,plain,
    ( ! [X102] :
        ( ~ c1_1(X102)
        | c0_1(X102)
        | c2_1(X102) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f1897,plain,
    ( spl0_181
    | spl0_72
    | ~ spl0_51
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1890,f960,f471,f575,f1782]) ).

fof(f1782,plain,
    ( spl0_181
  <=> c2_1(a241) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f575,plain,
    ( spl0_72
  <=> c1_1(a241) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f471,plain,
    ( spl0_51
  <=> ! [X103] :
        ( c2_1(X103)
        | ~ c3_1(X103)
        | c1_1(X103) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f960,plain,
    ( spl0_141
  <=> c3_1(a241) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1890,plain,
    ( c1_1(a241)
    | c2_1(a241)
    | ~ spl0_51
    | ~ spl0_141 ),
    inference(resolution,[],[f472,f962]) ).

fof(f962,plain,
    ( c3_1(a241)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f960]) ).

fof(f472,plain,
    ( ! [X103] :
        ( ~ c3_1(X103)
        | c2_1(X103)
        | c1_1(X103) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f1853,plain,
    ( spl0_165
    | ~ spl0_109
    | ~ spl0_61
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1850,f994,f518,f771,f1170]) ).

fof(f1850,plain,
    ( ~ c3_1(a234)
    | c2_1(a234)
    | ~ spl0_61
    | ~ spl0_147 ),
    inference(resolution,[],[f519,f996]) ).

fof(f1822,plain,
    ( ~ spl0_183
    | ~ spl0_153
    | ~ spl0_6
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f1817,f317,f275,f1027,f1819]) ).

fof(f1027,plain,
    ( spl0_153
  <=> c2_1(a282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1817,plain,
    ( ~ c2_1(a282)
    | ~ c3_1(a282)
    | ~ spl0_6
    | ~ spl0_16 ),
    inference(resolution,[],[f318,f277]) ).

fof(f1803,plain,
    ( spl0_182
    | spl0_22
    | ~ spl0_12
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1790,f764,f301,f340,f1800]) ).

fof(f340,plain,
    ( spl0_22
  <=> c2_1(a236) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f301,plain,
    ( spl0_12
  <=> ! [X117] :
        ( c1_1(X117)
        | ~ c0_1(X117)
        | c2_1(X117) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1790,plain,
    ( c2_1(a236)
    | c1_1(a236)
    | ~ spl0_12
    | ~ spl0_108 ),
    inference(resolution,[],[f302,f766]) ).

fof(f302,plain,
    ( ! [X117] :
        ( ~ c0_1(X117)
        | c2_1(X117)
        | c1_1(X117) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f1785,plain,
    ( spl0_72
    | ~ spl0_181
    | ~ spl0_91
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1780,f960,f669,f1782,f575]) ).

fof(f1780,plain,
    ( ~ c2_1(a241)
    | c1_1(a241)
    | ~ spl0_91
    | ~ spl0_141 ),
    inference(resolution,[],[f962,f670]) ).

fof(f1775,plain,
    ( spl0_68
    | spl0_167
    | ~ spl0_28
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1398,f941,f369,f1197,f554]) ).

fof(f554,plain,
    ( spl0_68
  <=> c2_1(a216) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1197,plain,
    ( spl0_167
  <=> c3_1(a216) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f941,plain,
    ( spl0_138
  <=> c1_1(a216) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1398,plain,
    ( c3_1(a216)
    | c2_1(a216)
    | ~ spl0_28
    | ~ spl0_138 ),
    inference(resolution,[],[f370,f943]) ).

fof(f943,plain,
    ( c1_1(a216)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f941]) ).

fof(f1773,plain,
    ( spl0_97
    | ~ spl0_95
    | ~ spl0_83
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1680,f849,f628,f689,f698]) ).

fof(f698,plain,
    ( spl0_97
  <=> c3_1(a220) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f689,plain,
    ( spl0_95
  <=> c2_1(a220) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f628,plain,
    ( spl0_83
  <=> ! [X22] :
        ( ~ c1_1(X22)
        | ~ c2_1(X22)
        | c3_1(X22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f849,plain,
    ( spl0_123
  <=> c1_1(a220) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1680,plain,
    ( ~ c2_1(a220)
    | c3_1(a220)
    | ~ spl0_83
    | ~ spl0_123 ),
    inference(resolution,[],[f629,f851]) ).

fof(f851,plain,
    ( c1_1(a220)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f629,plain,
    ( ! [X22] :
        ( ~ c1_1(X22)
        | c3_1(X22)
        | ~ c2_1(X22) )
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f1770,plain,
    ( spl0_85
    | spl0_144
    | spl0_132
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1765,f932,f903,f976,f638]) ).

fof(f903,plain,
    ( spl0_132
  <=> c0_1(a271) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f932,plain,
    ( spl0_136
  <=> ! [X28] :
        ( c1_1(X28)
        | c0_1(X28)
        | c2_1(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1765,plain,
    ( c2_1(a271)
    | c1_1(a271)
    | spl0_132
    | ~ spl0_136 ),
    inference(resolution,[],[f933,f905]) ).

fof(f905,plain,
    ( ~ c0_1(a271)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f933,plain,
    ( ! [X28] :
        ( c0_1(X28)
        | c2_1(X28)
        | c1_1(X28) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f932]) ).

fof(f1757,plain,
    ( spl0_113
    | spl0_114
    | ~ spl0_120
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1749,f861,f833,f798,f792]) ).

fof(f861,plain,
    ( spl0_125
  <=> c2_1(a214) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1749,plain,
    ( c3_1(a214)
    | c0_1(a214)
    | ~ spl0_120
    | ~ spl0_125 ),
    inference(resolution,[],[f834,f863]) ).

fof(f863,plain,
    ( c2_1(a214)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f861]) ).

fof(f1740,plain,
    ( spl0_77
    | ~ spl0_25
    | ~ spl0_50
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1729,f803,f466,f355,f599]) ).

fof(f599,plain,
    ( spl0_77
  <=> c0_1(a223) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f355,plain,
    ( spl0_25
  <=> c2_1(a223) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f466,plain,
    ( spl0_50
  <=> c1_1(a223) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f803,plain,
    ( spl0_115
  <=> ! [X48] :
        ( ~ c1_1(X48)
        | c0_1(X48)
        | ~ c2_1(X48) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1729,plain,
    ( ~ c2_1(a223)
    | c0_1(a223)
    | ~ spl0_50
    | ~ spl0_115 ),
    inference(resolution,[],[f804,f468]) ).

fof(f468,plain,
    ( c1_1(a223)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f804,plain,
    ( ! [X48] :
        ( ~ c1_1(X48)
        | c0_1(X48)
        | ~ c2_1(X48) )
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f803]) ).

fof(f1738,plain,
    ( spl0_71
    | ~ spl0_156
    | ~ spl0_23
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1730,f803,f345,f1052,f570]) ).

fof(f1052,plain,
    ( spl0_156
  <=> c2_1(a231) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f1730,plain,
    ( ~ c2_1(a231)
    | c0_1(a231)
    | ~ spl0_23
    | ~ spl0_115 ),
    inference(resolution,[],[f804,f347]) ).

fof(f347,plain,
    ( c1_1(a231)
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f1633,plain,
    ( spl0_79
    | spl0_127
    | ~ spl0_51
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1620,f821,f471,f875,f609]) ).

fof(f609,plain,
    ( spl0_79
  <=> c1_1(a218) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f875,plain,
    ( spl0_127
  <=> c2_1(a218) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f821,plain,
    ( spl0_118
  <=> c3_1(a218) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1620,plain,
    ( c2_1(a218)
    | c1_1(a218)
    | ~ spl0_51
    | ~ spl0_118 ),
    inference(resolution,[],[f472,f823]) ).

fof(f823,plain,
    ( c3_1(a218)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f1584,plain,
    ( spl0_73
    | spl0_1
    | ~ spl0_9
    | spl0_145 ),
    inference(avatar_split_clause,[],[f1579,f982,f288,f253,f580]) ).

fof(f580,plain,
    ( spl0_73
  <=> c3_1(a255) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f253,plain,
    ( spl0_1
  <=> c1_1(a255) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f288,plain,
    ( spl0_9
  <=> ! [X85] :
        ( c0_1(X85)
        | c1_1(X85)
        | c3_1(X85) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f982,plain,
    ( spl0_145
  <=> c0_1(a255) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1579,plain,
    ( c1_1(a255)
    | c3_1(a255)
    | ~ spl0_9
    | spl0_145 ),
    inference(resolution,[],[f289,f984]) ).

fof(f984,plain,
    ( ~ c0_1(a255)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f982]) ).

fof(f289,plain,
    ( ! [X85] :
        ( c0_1(X85)
        | c3_1(X85)
        | c1_1(X85) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f1564,plain,
    ( spl0_143
    | spl0_98
    | ~ spl0_42
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1558,f1005,f428,f704,f971]) ).

fof(f428,plain,
    ( spl0_42
  <=> ! [X18] :
        ( c0_1(X18)
        | c1_1(X18)
        | ~ c2_1(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1558,plain,
    ( c0_1(a215)
    | c1_1(a215)
    | ~ spl0_42
    | ~ spl0_149 ),
    inference(resolution,[],[f429,f1007]) ).

fof(f429,plain,
    ( ! [X18] :
        ( ~ c2_1(X18)
        | c0_1(X18)
        | c1_1(X18) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f1551,plain,
    ( spl0_43
    | ~ spl0_150
    | ~ spl0_39
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1545,f988,f415,f1010,f432]) ).

fof(f432,plain,
    ( spl0_43
  <=> c1_1(a252) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1010,plain,
    ( spl0_150
  <=> c2_1(a252) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f415,plain,
    ( spl0_39
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f988,plain,
    ( spl0_146
  <=> c0_1(a252) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f1545,plain,
    ( ~ c2_1(a252)
    | c1_1(a252)
    | ~ spl0_39
    | ~ spl0_146 ),
    inference(resolution,[],[f416,f990]) ).

fof(f990,plain,
    ( c0_1(a252)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f988]) ).

fof(f416,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f1519,plain,
    ( spl0_126
    | ~ spl0_134
    | ~ spl0_13
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1511,f731,f305,f914,f867]) ).

fof(f305,plain,
    ( spl0_13
  <=> ! [X112] :
        ( ~ c1_1(X112)
        | c2_1(X112)
        | ~ c3_1(X112) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f731,plain,
    ( spl0_102
  <=> c3_1(a248) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1511,plain,
    ( ~ c1_1(a248)
    | c2_1(a248)
    | ~ spl0_13
    | ~ spl0_102 ),
    inference(resolution,[],[f306,f733]) ).

fof(f733,plain,
    ( c3_1(a248)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f306,plain,
    ( ! [X112] :
        ( ~ c3_1(X112)
        | ~ c1_1(X112)
        | c2_1(X112) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f305]) ).

fof(f1518,plain,
    ( spl0_68
    | ~ spl0_138
    | ~ spl0_13
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1505,f1197,f305,f941,f554]) ).

fof(f1505,plain,
    ( ~ c1_1(a216)
    | c2_1(a216)
    | ~ spl0_13
    | ~ spl0_167 ),
    inference(resolution,[],[f306,f1199]) ).

fof(f1199,plain,
    ( c3_1(a216)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1197]) ).

fof(f1504,plain,
    ( spl0_106
    | spl0_124
    | ~ spl0_14
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1503,f1035,f308,f855,f752]) ).

fof(f752,plain,
    ( spl0_106
  <=> c1_1(a245) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f855,plain,
    ( spl0_124
  <=> c3_1(a245) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f308,plain,
    ( spl0_14
  <=> ! [X114] :
        ( ~ c2_1(X114)
        | c1_1(X114)
        | c3_1(X114) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f1035,plain,
    ( spl0_154
  <=> c2_1(a245) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1503,plain,
    ( c3_1(a245)
    | c1_1(a245)
    | ~ spl0_14
    | ~ spl0_154 ),
    inference(resolution,[],[f1037,f309]) ).

fof(f309,plain,
    ( ! [X114] :
        ( ~ c2_1(X114)
        | c1_1(X114)
        | c3_1(X114) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f1037,plain,
    ( c2_1(a245)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f1035]) ).

fof(f1492,plain,
    ( spl0_68
    | ~ spl0_138
    | ~ spl0_38
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1479,f955,f412,f941,f554]) ).

fof(f412,plain,
    ( spl0_38
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f955,plain,
    ( spl0_140
  <=> c0_1(a216) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f1479,plain,
    ( ~ c1_1(a216)
    | c2_1(a216)
    | ~ spl0_38
    | ~ spl0_140 ),
    inference(resolution,[],[f413,f957]) ).

fof(f957,plain,
    ( c0_1(a216)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f955]) ).

fof(f413,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f1489,plain,
    ( ~ spl0_152
    | spl0_165
    | ~ spl0_38
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1487,f994,f412,f1170,f1021]) ).

fof(f1487,plain,
    ( c2_1(a234)
    | ~ c1_1(a234)
    | ~ spl0_38
    | ~ spl0_147 ),
    inference(resolution,[],[f413,f996]) ).

fof(f1488,plain,
    ( spl0_126
    | ~ spl0_134
    | ~ spl0_38
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1482,f1237,f412,f914,f867]) ).

fof(f1482,plain,
    ( ~ c1_1(a248)
    | c2_1(a248)
    | ~ spl0_38
    | ~ spl0_170 ),
    inference(resolution,[],[f413,f1239]) ).

fof(f1239,plain,
    ( c0_1(a248)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1237]) ).

fof(f1476,plain,
    ( spl0_176
    | spl0_43
    | ~ spl0_14
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1465,f1010,f308,f432,f1455]) ).

fof(f1455,plain,
    ( spl0_176
  <=> c3_1(a252) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f1465,plain,
    ( c1_1(a252)
    | c3_1(a252)
    | ~ spl0_14
    | ~ spl0_150 ),
    inference(resolution,[],[f309,f1012]) ).

fof(f1012,plain,
    ( c2_1(a252)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1010]) ).

fof(f1475,plain,
    ( spl0_143
    | spl0_177
    | ~ spl0_14
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1461,f1005,f308,f1472,f971]) ).

fof(f1461,plain,
    ( c3_1(a215)
    | c1_1(a215)
    | ~ spl0_14
    | ~ spl0_149 ),
    inference(resolution,[],[f309,f1007]) ).

fof(f1470,plain,
    ( spl0_166
    | spl0_114
    | ~ spl0_14
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1460,f861,f308,f798,f1182]) ).

fof(f1460,plain,
    ( c3_1(a214)
    | c1_1(a214)
    | ~ spl0_14
    | ~ spl0_125 ),
    inference(resolution,[],[f309,f863]) ).

fof(f1459,plain,
    ( ~ spl0_176
    | spl0_43
    | ~ spl0_82
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1453,f988,f624,f432,f1455]) ).

fof(f624,plain,
    ( spl0_82
  <=> ! [X76] :
        ( ~ c0_1(X76)
        | c1_1(X76)
        | ~ c3_1(X76) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1453,plain,
    ( c1_1(a252)
    | ~ c3_1(a252)
    | ~ spl0_82
    | ~ spl0_146 ),
    inference(resolution,[],[f990,f625]) ).

fof(f625,plain,
    ( ! [X76] :
        ( ~ c0_1(X76)
        | c1_1(X76)
        | ~ c3_1(X76) )
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f1458,plain,
    ( ~ spl0_150
    | ~ spl0_176
    | ~ spl0_16
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1451,f988,f317,f1455,f1010]) ).

fof(f1451,plain,
    ( ~ c3_1(a252)
    | ~ c2_1(a252)
    | ~ spl0_16
    | ~ spl0_146 ),
    inference(resolution,[],[f990,f318]) ).

fof(f1435,plain,
    ( spl0_106
    | spl0_154
    | ~ spl0_12
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1158,f777,f301,f1035,f752]) ).

fof(f777,plain,
    ( spl0_110
  <=> c0_1(a245) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1158,plain,
    ( c2_1(a245)
    | c1_1(a245)
    | ~ spl0_12
    | ~ spl0_110 ),
    inference(resolution,[],[f302,f779]) ).

fof(f779,plain,
    ( c0_1(a245)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f777]) ).

fof(f1434,plain,
    ( spl0_124
    | spl0_154
    | ~ spl0_86
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1318,f777,f644,f1035,f855]) ).

fof(f1318,plain,
    ( c2_1(a245)
    | c3_1(a245)
    | ~ spl0_86
    | ~ spl0_110 ),
    inference(resolution,[],[f645,f779]) ).

fof(f1433,plain,
    ( ~ spl0_135
    | spl0_104
    | ~ spl0_60
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1432,f1363,f514,f740,f919]) ).

fof(f740,plain,
    ( spl0_104
  <=> c0_1(a242) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1432,plain,
    ( c0_1(a242)
    | ~ c1_1(a242)
    | ~ spl0_60
    | ~ spl0_173 ),
    inference(resolution,[],[f1365,f515]) ).

fof(f1365,plain,
    ( c3_1(a242)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1363]) ).

fof(f1428,plain,
    ( spl0_87
    | ~ spl0_65
    | ~ spl0_33
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1420,f694,f390,f537,f648]) ).

fof(f648,plain,
    ( spl0_87
  <=> c0_1(a320) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f694,plain,
    ( spl0_96
  <=> ! [X70] :
        ( c0_1(X70)
        | ~ c2_1(X70)
        | ~ c3_1(X70) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1420,plain,
    ( ~ c2_1(a320)
    | c0_1(a320)
    | ~ spl0_33
    | ~ spl0_96 ),
    inference(resolution,[],[f695,f392]) ).

fof(f695,plain,
    ( ! [X70] :
        ( ~ c3_1(X70)
        | c0_1(X70)
        | ~ c2_1(X70) )
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f1407,plain,
    ( spl0_75
    | spl0_122
    | ~ spl0_28
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1405,f909,f369,f844,f589]) ).

fof(f589,plain,
    ( spl0_75
  <=> c3_1(a280) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f844,plain,
    ( spl0_122
  <=> c2_1(a280) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f909,plain,
    ( spl0_133
  <=> c1_1(a280) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1405,plain,
    ( c2_1(a280)
    | c3_1(a280)
    | ~ spl0_28
    | ~ spl0_133 ),
    inference(resolution,[],[f370,f911]) ).

fof(f911,plain,
    ( c1_1(a280)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f909]) ).

fof(f1397,plain,
    ( ~ spl0_102
    | ~ spl0_134
    | ~ spl0_93
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1386,f1237,f679,f914,f731]) ).

fof(f679,plain,
    ( spl0_93
  <=> ! [X106] :
        ( ~ c0_1(X106)
        | ~ c1_1(X106)
        | ~ c3_1(X106) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1386,plain,
    ( ~ c1_1(a248)
    | ~ c3_1(a248)
    | ~ spl0_93
    | ~ spl0_170 ),
    inference(resolution,[],[f680,f1239]) ).

fof(f680,plain,
    ( ! [X106] :
        ( ~ c0_1(X106)
        | ~ c1_1(X106)
        | ~ c3_1(X106) )
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f1395,plain,
    ( ~ spl0_138
    | ~ spl0_167
    | ~ spl0_93
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1382,f955,f679,f1197,f941]) ).

fof(f1382,plain,
    ( ~ c3_1(a216)
    | ~ c1_1(a216)
    | ~ spl0_93
    | ~ spl0_140 ),
    inference(resolution,[],[f680,f957]) ).

fof(f1392,plain,
    ( ~ spl0_109
    | ~ spl0_152
    | ~ spl0_93
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1389,f994,f679,f1021,f771]) ).

fof(f1389,plain,
    ( ~ c1_1(a234)
    | ~ c3_1(a234)
    | ~ spl0_93
    | ~ spl0_147 ),
    inference(resolution,[],[f680,f996]) ).

fof(f1360,plain,
    ( spl0_163
    | ~ spl0_65
    | ~ spl0_33
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1356,f669,f390,f537,f1139]) ).

fof(f1356,plain,
    ( ~ c2_1(a320)
    | c1_1(a320)
    | ~ spl0_33
    | ~ spl0_91 ),
    inference(resolution,[],[f670,f392]) ).

fof(f1359,plain,
    ( ~ spl0_148
    | spl0_107
    | ~ spl0_84
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1350,f669,f632,f759,f1000]) ).

fof(f1000,plain,
    ( spl0_148
  <=> c2_1(a239) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f759,plain,
    ( spl0_107
  <=> c1_1(a239) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f632,plain,
    ( spl0_84
  <=> c3_1(a239) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1350,plain,
    ( c1_1(a239)
    | ~ c2_1(a239)
    | ~ spl0_84
    | ~ spl0_91 ),
    inference(resolution,[],[f670,f634]) ).

fof(f634,plain,
    ( c3_1(a239)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f1297,plain,
    ( spl0_144
    | spl0_132
    | ~ spl0_67
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1287,f1130,f548,f903,f976]) ).

fof(f548,plain,
    ( spl0_67
  <=> ! [X95] :
        ( c2_1(X95)
        | c0_1(X95)
        | ~ c3_1(X95) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1287,plain,
    ( c0_1(a271)
    | c2_1(a271)
    | ~ spl0_67
    | ~ spl0_162 ),
    inference(resolution,[],[f549,f1132]) ).

fof(f1132,plain,
    ( c3_1(a271)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1130]) ).

fof(f549,plain,
    ( ! [X95] :
        ( ~ c3_1(X95)
        | c0_1(X95)
        | c2_1(X95) )
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f1290,plain,
    ( spl0_71
    | spl0_156
    | ~ spl0_67
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1281,f710,f548,f1052,f570]) ).

fof(f1281,plain,
    ( c2_1(a231)
    | c0_1(a231)
    | ~ spl0_67
    | ~ spl0_99 ),
    inference(resolution,[],[f549,f712]) ).

fof(f1277,plain,
    ( spl0_36
    | spl0_49
    | ~ spl0_17
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1270,f1092,f320,f461,f403]) ).

fof(f403,plain,
    ( spl0_36
  <=> c1_1(a213) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f461,plain,
    ( spl0_49
  <=> c3_1(a213) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f320,plain,
    ( spl0_17
  <=> ! [X13] :
        ( c1_1(X13)
        | ~ c0_1(X13)
        | c3_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f1092,plain,
    ( spl0_159
  <=> c0_1(a213) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f1270,plain,
    ( c3_1(a213)
    | c1_1(a213)
    | ~ spl0_17
    | ~ spl0_159 ),
    inference(resolution,[],[f321,f1094]) ).

fof(f1094,plain,
    ( c0_1(a213)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1092]) ).

fof(f321,plain,
    ( ! [X13] :
        ( ~ c0_1(X13)
        | c3_1(X13)
        | c1_1(X13) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f320]) ).

fof(f1250,plain,
    ( ~ spl0_167
    | spl0_68
    | ~ spl0_61
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1243,f955,f518,f554,f1197]) ).

fof(f1243,plain,
    ( c2_1(a216)
    | ~ c3_1(a216)
    | ~ spl0_61
    | ~ spl0_140 ),
    inference(resolution,[],[f519,f957]) ).

fof(f1240,plain,
    ( ~ spl0_134
    | spl0_170
    | ~ spl0_60
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1235,f731,f514,f1237,f914]) ).

fof(f1235,plain,
    ( c0_1(a248)
    | ~ c1_1(a248)
    | ~ spl0_60
    | ~ spl0_102 ),
    inference(resolution,[],[f733,f515]) ).

fof(f1217,plain,
    ( spl0_47
    | spl0_55
    | ~ spl0_30
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1215,f664,f376,f491,f451]) ).

fof(f451,plain,
    ( spl0_47
  <=> c2_1(a217) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f491,plain,
    ( spl0_55
  <=> c1_1(a217) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f664,plain,
    ( spl0_90
  <=> c3_1(a217) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1215,plain,
    ( c1_1(a217)
    | c2_1(a217)
    | ~ spl0_30
    | spl0_90 ),
    inference(resolution,[],[f377,f666]) ).

fof(f666,plain,
    ( ~ c3_1(a217)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f1201,plain,
    ( spl0_97
    | ~ spl0_123
    | ~ spl0_29
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1190,f1106,f372,f849,f698]) ).

fof(f1106,plain,
    ( spl0_160
  <=> c0_1(a220) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1190,plain,
    ( ~ c1_1(a220)
    | c3_1(a220)
    | ~ spl0_29
    | ~ spl0_160 ),
    inference(resolution,[],[f373,f1108]) ).

fof(f1108,plain,
    ( c0_1(a220)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1106]) ).

fof(f1200,plain,
    ( spl0_167
    | ~ spl0_138
    | ~ spl0_29
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1189,f955,f372,f941,f1197]) ).

fof(f1189,plain,
    ( ~ c1_1(a216)
    | c3_1(a216)
    | ~ spl0_29
    | ~ spl0_140 ),
    inference(resolution,[],[f373,f957]) ).

fof(f1161,plain,
    ( spl0_112
    | spl0_129
    | ~ spl0_12
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1156,f723,f301,f885,f787]) ).

fof(f885,plain,
    ( spl0_129
  <=> c1_1(a226) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1156,plain,
    ( c1_1(a226)
    | c2_1(a226)
    | ~ spl0_12
    | ~ spl0_101 ),
    inference(resolution,[],[f302,f725]) ).

fof(f1142,plain,
    ( spl0_163
    | spl0_87
    | ~ spl0_42
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1137,f537,f428,f648,f1139]) ).

fof(f1137,plain,
    ( c0_1(a320)
    | c1_1(a320)
    | ~ spl0_42
    | ~ spl0_65 ),
    inference(resolution,[],[f539,f429]) ).

fof(f539,plain,
    ( c2_1(a320)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f1135,plain,
    ( spl0_1
    | spl0_145
    | ~ spl0_42
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1134,f1125,f428,f982,f253]) ).

fof(f1125,plain,
    ( spl0_161
  <=> c2_1(a255) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f1134,plain,
    ( c0_1(a255)
    | c1_1(a255)
    | ~ spl0_42
    | ~ spl0_161 ),
    inference(resolution,[],[f1127,f429]) ).

fof(f1127,plain,
    ( c2_1(a255)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1125]) ).

fof(f1128,plain,
    ( spl0_73
    | spl0_161
    | ~ spl0_59
    | spl0_145 ),
    inference(avatar_split_clause,[],[f1122,f982,f510,f1125,f580]) ).

fof(f510,plain,
    ( spl0_59
  <=> ! [X100] :
        ( c3_1(X100)
        | c0_1(X100)
        | c2_1(X100) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1122,plain,
    ( c2_1(a255)
    | c3_1(a255)
    | ~ spl0_59
    | spl0_145 ),
    inference(resolution,[],[f511,f984]) ).

fof(f511,plain,
    ( ! [X100] :
        ( c0_1(X100)
        | c3_1(X100)
        | c2_1(X100) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f1117,plain,
    ( spl0_157
    | spl0_131
    | ~ spl0_51
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1114,f658,f471,f897,f1057]) ).

fof(f1057,plain,
    ( spl0_157
  <=> c1_1(a225) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f897,plain,
    ( spl0_131
  <=> c2_1(a225) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f658,plain,
    ( spl0_89
  <=> c3_1(a225) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1114,plain,
    ( c2_1(a225)
    | c1_1(a225)
    | ~ spl0_51
    | ~ spl0_89 ),
    inference(resolution,[],[f472,f660]) ).

fof(f660,plain,
    ( c3_1(a225)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f1109,plain,
    ( spl0_97
    | spl0_160
    | ~ spl0_18
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1104,f849,f323,f1106,f698]) ).

fof(f1104,plain,
    ( c0_1(a220)
    | c3_1(a220)
    | ~ spl0_18
    | ~ spl0_123 ),
    inference(resolution,[],[f851,f324]) ).

fof(f1101,plain,
    ( spl0_111
    | ~ spl0_158
    | ~ spl0_46
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f1096,f496,f447,f1074,f782]) ).

fof(f782,plain,
    ( spl0_111
  <=> c3_1(a257) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1074,plain,
    ( spl0_158
  <=> c2_1(a257) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f447,plain,
    ( spl0_46
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f496,plain,
    ( spl0_56
  <=> c0_1(a257) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1096,plain,
    ( ~ c2_1(a257)
    | c3_1(a257)
    | ~ spl0_46
    | ~ spl0_56 ),
    inference(resolution,[],[f448,f498]) ).

fof(f498,plain,
    ( c0_1(a257)
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f448,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f1100,plain,
    ( spl0_124
    | ~ spl0_154
    | ~ spl0_46
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1097,f777,f447,f1035,f855]) ).

fof(f1097,plain,
    ( ~ c2_1(a245)
    | c3_1(a245)
    | ~ spl0_46
    | ~ spl0_110 ),
    inference(resolution,[],[f448,f779]) ).

fof(f1099,plain,
    ( spl0_151
    | ~ spl0_100
    | ~ spl0_46
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1098,f673,f447,f716,f1015]) ).

fof(f1015,plain,
    ( spl0_151
  <=> c3_1(a237) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f716,plain,
    ( spl0_100
  <=> c2_1(a237) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f673,plain,
    ( spl0_92
  <=> c0_1(a237) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1098,plain,
    ( ~ c2_1(a237)
    | c3_1(a237)
    | ~ spl0_46
    | ~ spl0_92 ),
    inference(resolution,[],[f448,f675]) ).

fof(f675,plain,
    ( c0_1(a237)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f1095,plain,
    ( spl0_36
    | spl0_159
    | ~ spl0_42
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1089,f880,f428,f1092,f403]) ).

fof(f880,plain,
    ( spl0_128
  <=> c2_1(a213) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1089,plain,
    ( c0_1(a213)
    | c1_1(a213)
    | ~ spl0_42
    | ~ spl0_128 ),
    inference(resolution,[],[f429,f882]) ).

fof(f882,plain,
    ( c2_1(a213)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f1087,plain,
    ( ~ spl0_100
    | spl0_155
    | ~ spl0_39
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1085,f673,f415,f1044,f716]) ).

fof(f1044,plain,
    ( spl0_155
  <=> c1_1(a237) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1085,plain,
    ( c1_1(a237)
    | ~ c2_1(a237)
    | ~ spl0_39
    | ~ spl0_92 ),
    inference(resolution,[],[f416,f675]) ).

fof(f1082,plain,
    ( ~ spl0_155
    | spl0_151
    | ~ spl0_29
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1080,f673,f372,f1015,f1044]) ).

fof(f1080,plain,
    ( c3_1(a237)
    | ~ c1_1(a237)
    | ~ spl0_29
    | ~ spl0_92 ),
    inference(resolution,[],[f373,f675]) ).

fof(f1081,plain,
    ( ~ spl0_19
    | spl0_111
    | ~ spl0_29
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f1078,f496,f372,f782,f327]) ).

fof(f327,plain,
    ( spl0_19
  <=> c1_1(a257) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1078,plain,
    ( c3_1(a257)
    | ~ c1_1(a257)
    | ~ spl0_29
    | ~ spl0_56 ),
    inference(resolution,[],[f373,f498]) ).

fof(f1077,plain,
    ( spl0_111
    | spl0_158
    | ~ spl0_19
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f1071,f369,f327,f1074,f782]) ).

fof(f1071,plain,
    ( c2_1(a257)
    | c3_1(a257)
    | ~ spl0_19
    | ~ spl0_28 ),
    inference(resolution,[],[f370,f329]) ).

fof(f329,plain,
    ( c1_1(a257)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f1068,plain,
    ( spl0_106
    | spl0_124
    | ~ spl0_17
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1065,f777,f320,f855,f752]) ).

fof(f1065,plain,
    ( c3_1(a245)
    | c1_1(a245)
    | ~ spl0_17
    | ~ spl0_110 ),
    inference(resolution,[],[f321,f779]) ).

fof(f1067,plain,
    ( spl0_151
    | spl0_155
    | ~ spl0_17
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1066,f673,f320,f1044,f1015]) ).

fof(f1066,plain,
    ( c1_1(a237)
    | c3_1(a237)
    | ~ spl0_17
    | ~ spl0_92 ),
    inference(resolution,[],[f321,f675]) ).

fof(f1060,plain,
    ( ~ spl0_157
    | spl0_131
    | ~ spl0_13
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1049,f658,f305,f897,f1057]) ).

fof(f1049,plain,
    ( c2_1(a225)
    | ~ c1_1(a225)
    | ~ spl0_13
    | ~ spl0_89 ),
    inference(resolution,[],[f306,f660]) ).

fof(f1055,plain,
    ( ~ spl0_23
    | spl0_156
    | ~ spl0_13
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1050,f710,f305,f1052,f345]) ).

fof(f1050,plain,
    ( c2_1(a231)
    | ~ c1_1(a231)
    | ~ spl0_13
    | ~ spl0_99 ),
    inference(resolution,[],[f306,f712]) ).

fof(f1047,plain,
    ( spl0_155
    | spl0_151
    | ~ spl0_14
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1041,f716,f308,f1015,f1044]) ).

fof(f1041,plain,
    ( c3_1(a237)
    | c1_1(a237)
    | ~ spl0_14
    | ~ spl0_100 ),
    inference(resolution,[],[f309,f718]) ).

fof(f718,plain,
    ( c2_1(a237)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f1042,plain,
    ( spl0_36
    | spl0_49
    | ~ spl0_14
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1040,f880,f308,f461,f403]) ).

fof(f1040,plain,
    ( c3_1(a213)
    | c1_1(a213)
    | ~ spl0_14
    | ~ spl0_128 ),
    inference(resolution,[],[f309,f882]) ).

fof(f1030,plain,
    ( spl0_153
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f207,f271,f1027]) ).

fof(f271,plain,
    ( spl0_5
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f207,plain,
    ( ~ hskp28
    | c2_1(a282) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ( ~ hskp28
      | ( c2_1(a282)
        & ndr1_0
        & c0_1(a282)
        & c1_1(a282) ) )
    & ( hskp22
      | ! [X0] :
          ( ~ ndr1_0
          | ~ c0_1(X0)
          | ~ c1_1(X0)
          | c2_1(X0) )
      | ! [X1] :
          ( ~ c2_1(X1)
          | ~ ndr1_0
          | ~ c0_1(X1)
          | c1_1(X1) ) )
    & ( ! [X2] :
          ( ~ c0_1(X2)
          | ~ c2_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 )
      | hskp7
      | hskp6 )
    & ( ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c3_1(X3)
          | ~ ndr1_0 )
      | hskp28
      | ! [X4] :
          ( ~ ndr1_0
          | ~ c0_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4) ) )
    & ( ! [X5] :
          ( ~ c3_1(X5)
          | ~ ndr1_0
          | ~ c1_1(X5)
          | c0_1(X5) )
      | hskp1
      | ! [X6] :
          ( ~ ndr1_0
          | c3_1(X6)
          | c2_1(X6)
          | ~ c1_1(X6) ) )
    & ( hskp26
      | hskp23
      | ! [X7] :
          ( c1_1(X7)
          | ~ c0_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 ) )
    & ( ! [X8] :
          ( ~ ndr1_0
          | ~ c0_1(X8)
          | ~ c2_1(X8)
          | ~ c3_1(X8) )
      | ! [X9] :
          ( ~ c1_1(X9)
          | ~ ndr1_0
          | c3_1(X9)
          | ~ c0_1(X9) )
      | ! [X10] :
          ( c3_1(X10)
          | ~ ndr1_0
          | ~ c1_1(X10)
          | c2_1(X10) ) )
    & ( hskp4
      | hskp23
      | hskp20 )
    & ( ! [X11] :
          ( ~ ndr1_0
          | ~ c3_1(X11)
          | c1_1(X11)
          | ~ c2_1(X11) )
      | hskp24
      | hskp15 )
    & ( ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | ~ c3_1(X12)
          | ~ c0_1(X12) )
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c0_1(X13)
          | c3_1(X13)
          | c1_1(X13) )
      | ! [X14] :
          ( ~ c1_1(X14)
          | c3_1(X14)
          | ~ ndr1_0
          | c0_1(X14) ) )
    & ( hskp12
      | hskp21
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c2_1(X15)
          | c3_1(X15)
          | c1_1(X15) ) )
    & ( ( ~ c0_1(a242)
        & ~ c2_1(a242)
        & ndr1_0
        & c1_1(a242) )
      | ~ hskp15 )
    & ( hskp13
      | hskp16
      | hskp12 )
    & ( ( c3_1(a320)
        & ~ c0_1(a320)
        & c2_1(a320)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ! [X16] :
          ( ~ ndr1_0
          | c3_1(X16)
          | ~ c1_1(X16)
          | c0_1(X16) )
      | hskp3
      | hskp13 )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a220)
        & c1_1(a220)
        & ~ c3_1(a220) ) )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ ndr1_0
          | ~ c2_1(X17) )
      | hskp3
      | hskp6 )
    & ( hskp0
      | ! [X18] :
          ( ~ ndr1_0
          | c1_1(X18)
          | ~ c2_1(X18)
          | c0_1(X18) )
      | hskp2 )
    & ( ! [X19] :
          ( ~ ndr1_0
          | ~ c2_1(X19)
          | ~ c0_1(X19)
          | ~ c3_1(X19) )
      | ! [X20] :
          ( c3_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0
          | c1_1(X20) )
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c3_1(X21)
          | c0_1(X21)
          | ~ c2_1(X21) ) )
    & ( ! [X22] :
          ( ~ c1_1(X22)
          | ~ c2_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c2_1(X23)
          | ~ c3_1(X23)
          | ~ c1_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c0_1(X24)
          | c3_1(X24)
          | c1_1(X24) ) )
    & ( ( ndr1_0
        & c1_1(a234)
        & c0_1(a234)
        & c3_1(a234) )
      | ~ hskp26 )
    & ( hskp8
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c1_1(X25)
          | c2_1(X25)
          | c3_1(X25) )
      | ! [X26] :
          ( c3_1(X26)
          | c2_1(X26)
          | ~ ndr1_0
          | c1_1(X26) ) )
    & ( hskp29
      | hskp26
      | ! [X27] :
          ( ~ c2_1(X27)
          | ~ c3_1(X27)
          | ~ c1_1(X27)
          | ~ ndr1_0 ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c0_1(a231)
        & c3_1(a231)
        & c1_1(a231) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c1_1(a255)
        & ~ c0_1(a255)
        & ~ c3_1(a255) ) )
    & ( ! [X28] :
          ( ~ ndr1_0
          | c1_1(X28)
          | c2_1(X28)
          | c0_1(X28) )
      | hskp0 )
    & ( hskp16
      | ! [X29] :
          ( c0_1(X29)
          | ~ ndr1_0
          | ~ c1_1(X29)
          | ~ c2_1(X29) )
      | hskp7 )
    & ( ! [X30] :
          ( ~ c2_1(X30)
          | ~ ndr1_0
          | ~ c0_1(X30)
          | c3_1(X30) )
      | ! [X31] :
          ( ~ c3_1(X31)
          | ~ c0_1(X31)
          | ~ ndr1_0
          | c1_1(X31) )
      | hskp18 )
    & ( hskp1
      | ! [X32] :
          ( ~ c2_1(X32)
          | ~ ndr1_0
          | c3_1(X32)
          | c1_1(X32) )
      | ! [X33] :
          ( ~ c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0
          | ~ c3_1(X33) ) )
    & ( ! [X34] :
          ( ~ c2_1(X34)
          | ~ c0_1(X34)
          | ~ ndr1_0
          | c1_1(X34) )
      | hskp11
      | ! [X35] :
          ( c3_1(X35)
          | ~ ndr1_0
          | ~ c1_1(X35)
          | c0_1(X35) ) )
    & ( ! [X36] :
          ( c1_1(X36)
          | c3_1(X36)
          | ~ c0_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c3_1(X37)
          | c0_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ ndr1_0
          | c1_1(X38)
          | c0_1(X38)
          | ~ c3_1(X38) ) )
    & ( ! [X39] :
          ( c3_1(X39)
          | ~ ndr1_0
          | ~ c1_1(X39)
          | ~ c0_1(X39) )
      | hskp14
      | ! [X40] :
          ( c0_1(X40)
          | ~ c2_1(X40)
          | ~ ndr1_0
          | c3_1(X40) ) )
    & ( ( ~ c2_1(a225)
        & c3_1(a225)
        & ndr1_0
        & ~ c0_1(a225) )
      | ~ hskp8 )
    & ( ! [X41] :
          ( ~ c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0
          | c3_1(X41) )
      | ! [X42] :
          ( c3_1(X42)
          | ~ ndr1_0
          | ~ c0_1(X42)
          | c1_1(X42) )
      | ! [X43] :
          ( ~ c3_1(X43)
          | c2_1(X43)
          | ~ ndr1_0
          | ~ c0_1(X43) ) )
    & ( hskp26
      | ! [X44] :
          ( ~ c3_1(X44)
          | c2_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c3_1(X45)
          | ~ c2_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp17
      | ! [X46] :
          ( ~ c0_1(X46)
          | c1_1(X46)
          | ~ ndr1_0
          | c2_1(X46) ) )
    & ( ( ~ c3_1(a213)
        & ~ c1_1(a213)
        & c2_1(a213)
        & ndr1_0 )
      | ~ hskp0 )
    & ( hskp17
      | hskp18
      | hskp27 )
    & ( ( ~ c1_1(a241)
        & c3_1(a241)
        & ndr1_0
        & ~ c0_1(a241) )
      | ~ hskp14 )
    & ( ! [X47] :
          ( c2_1(X47)
          | ~ c0_1(X47)
          | ~ ndr1_0
          | ~ c1_1(X47) )
      | ! [X48] :
          ( ~ c2_1(X48)
          | c0_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | hskp8 )
    & ( hskp8
      | hskp1
      | ! [X49] :
          ( c1_1(X49)
          | ~ c3_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( ! [X50] :
          ( ~ ndr1_0
          | ~ c3_1(X50)
          | c2_1(X50)
          | ~ c1_1(X50) )
      | ! [X51] :
          ( ~ ndr1_0
          | c0_1(X51)
          | ~ c3_1(X51)
          | ~ c1_1(X51) )
      | hskp18 )
    & ( ~ hskp21
      | ( c3_1(a259)
        & c0_1(a259)
        & ~ c2_1(a259)
        & ndr1_0 ) )
    & ( ! [X52] :
          ( c2_1(X52)
          | ~ c0_1(X52)
          | c3_1(X52)
          | ~ ndr1_0 )
      | hskp26
      | ! [X53] :
          ( c0_1(X53)
          | ~ ndr1_0
          | ~ c1_1(X53)
          | ~ c2_1(X53) ) )
    & ( hskp8
      | hskp10
      | ! [X54] :
          ( ~ c0_1(X54)
          | ~ c2_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c0_1(a215)
        & ~ c1_1(a215)
        & c2_1(a215) ) )
    & ( ~ hskp3
      | ( c0_1(a216)
        & c1_1(a216)
        & ~ c2_1(a216)
        & ndr1_0 ) )
    & ( ( c3_1(a239)
        & ~ c1_1(a239)
        & c2_1(a239)
        & ndr1_0 )
      | ~ hskp13 )
    & ( hskp25
      | hskp19 )
    & ( ! [X55] :
          ( ~ c0_1(X55)
          | ~ ndr1_0
          | ~ c1_1(X55)
          | ~ c2_1(X55) )
      | ! [X56] :
          ( ~ c2_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0
          | ~ c0_1(X56) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c2_1(X57)
          | ~ c3_1(X57)
          | ~ c1_1(X57) ) )
    & ( ! [X58] :
          ( ~ ndr1_0
          | ~ c1_1(X58)
          | ~ c2_1(X58)
          | ~ c3_1(X58) )
      | ! [X59] :
          ( ~ c1_1(X59)
          | ~ ndr1_0
          | c3_1(X59)
          | ~ c0_1(X59) )
      | ! [X60] :
          ( c2_1(X60)
          | ~ c0_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( c1_1(X61)
          | c0_1(X61)
          | ~ ndr1_0
          | ~ c3_1(X61) )
      | hskp7
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ ndr1_0
          | ~ c0_1(X62)
          | ~ c2_1(X62) ) )
    & ( ! [X63] :
          ( ~ c2_1(X63)
          | ~ c0_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 )
      | hskp10
      | ! [X64] :
          ( c3_1(X64)
          | ~ ndr1_0
          | ~ c2_1(X64)
          | c0_1(X64) ) )
    & ( ! [X65] :
          ( ~ c0_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0
          | ~ c1_1(X65) )
      | hskp28
      | ! [X66] :
          ( c2_1(X66)
          | ~ c1_1(X66)
          | ~ ndr1_0
          | c3_1(X66) ) )
    & ( ! [X67] :
          ( ~ ndr1_0
          | c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67) )
      | hskp10
      | ! [X68] :
          ( ~ c1_1(X68)
          | ~ ndr1_0
          | c0_1(X68)
          | ~ c2_1(X68) ) )
    & ( ! [X69] :
          ( c2_1(X69)
          | ~ ndr1_0
          | ~ c1_1(X69)
          | c3_1(X69) )
      | ! [X70] :
          ( ~ c2_1(X70)
          | ~ c3_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X71] :
          ( ~ c2_1(X71)
          | ~ c1_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c3_1(X72)
          | ~ c0_1(X72)
          | ~ c2_1(X72) )
      | hskp22 )
    & ( hskp6
      | hskp3
      | ! [X73] :
          ( ~ c3_1(X73)
          | c0_1(X73)
          | ~ c1_1(X73)
          | ~ ndr1_0 ) )
    & ( ( ~ c2_1(a271)
        & ~ c0_1(a271)
        & ~ c1_1(a271)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c2_1(a226)
        & ~ c1_1(a226)
        & c0_1(a226) ) )
    & ( ! [X74] :
          ( c2_1(X74)
          | c1_1(X74)
          | c3_1(X74)
          | ~ ndr1_0 )
      | hskp19
      | hskp21 )
    & ( ( c3_1(a218)
        & ~ c2_1(a218)
        & ndr1_0
        & ~ c1_1(a218) )
      | ~ hskp5 )
    & ( hskp4
      | hskp20
      | ! [X75] :
          ( c3_1(X75)
          | c2_1(X75)
          | ~ ndr1_0
          | c1_1(X75) ) )
    & ( hskp1
      | hskp19
      | ! [X76] :
          ( c1_1(X76)
          | ~ ndr1_0
          | ~ c3_1(X76)
          | ~ c0_1(X76) ) )
    & ( ! [X77] :
          ( c0_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0
          | ~ c2_1(X77) )
      | ! [X78] :
          ( c3_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 )
      | hskp9 )
    & ( hskp0
      | hskp4
      | ! [X79] :
          ( c0_1(X79)
          | ~ ndr1_0
          | c3_1(X79)
          | c2_1(X79) ) )
    & ( hskp1
      | ! [X80] :
          ( ~ c0_1(X80)
          | ~ ndr1_0
          | c2_1(X80)
          | c3_1(X80) )
      | ! [X81] :
          ( c1_1(X81)
          | c3_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( ~ hskp29
      | ( c0_1(a296)
        & ndr1_0
        & c2_1(a296)
        & c3_1(a296) ) )
    & ( hskp0
      | hskp12
      | hskp1 )
    & ( ~ hskp1
      | ( c2_1(a214)
        & ~ c3_1(a214)
        & ~ c0_1(a214)
        & ndr1_0 ) )
    & ( ! [X82] :
          ( ~ c0_1(X82)
          | ~ c3_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | hskp16
      | hskp4 )
    & ( ! [X83] :
          ( ~ c1_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0
          | ~ c0_1(X83) )
      | hskp27
      | hskp2 )
    & ( ( c3_1(a261)
        & c1_1(a261)
        & c2_1(a261)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ~ hskp24
      | ( ~ c3_1(a280)
        & ndr1_0
        & c1_1(a280)
        & ~ c2_1(a280) ) )
    & ( ( ndr1_0
        & ~ c1_1(a252)
        & c2_1(a252)
        & c0_1(a252) )
      | ~ hskp18 )
    & ( hskp9
      | ! [X84] :
          ( c2_1(X84)
          | c3_1(X84)
          | ~ c1_1(X84)
          | ~ ndr1_0 )
      | hskp26 )
    & ( hskp4
      | hskp3
      | ! [X85] :
          ( c1_1(X85)
          | ~ ndr1_0
          | c0_1(X85)
          | c3_1(X85) ) )
    & ( ! [X86] :
          ( ~ c3_1(X86)
          | ~ c2_1(X86)
          | ~ ndr1_0
          | ~ c1_1(X86) )
      | ! [X87] :
          ( c0_1(X87)
          | ~ ndr1_0
          | c1_1(X87)
          | ~ c2_1(X87) )
      | ! [X88] :
          ( ~ ndr1_0
          | c0_1(X88)
          | c2_1(X88)
          | ~ c3_1(X88) ) )
    & ( ( ~ c1_1(a245)
        & ndr1_0
        & ~ c3_1(a245)
        & c0_1(a245) )
      | ~ hskp16 )
    & ( ! [X89] :
          ( ~ ndr1_0
          | ~ c1_1(X89)
          | c3_1(X89)
          | ~ c0_1(X89) )
      | ! [X90] :
          ( c1_1(X90)
          | c2_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c1_1(X91)
          | ~ c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X92] :
          ( ~ ndr1_0
          | c1_1(X92)
          | ~ c3_1(X92)
          | c2_1(X92) )
      | ! [X93] :
          ( ~ c2_1(X93)
          | c0_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0 )
      | hskp15 )
    & ( hskp9
      | hskp22
      | hskp18 )
    & ( hskp16
      | hskp3 )
    & ( ! [X94] :
          ( ~ ndr1_0
          | c1_1(X94)
          | c2_1(X94)
          | ~ c0_1(X94) )
      | ! [X95] :
          ( c2_1(X95)
          | ~ ndr1_0
          | c0_1(X95)
          | ~ c3_1(X95) )
      | hskp1 )
    & ( ! [X96] :
          ( ~ ndr1_0
          | ~ c3_1(X96)
          | c0_1(X96)
          | ~ c1_1(X96) )
      | hskp9
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c2_1(X97)
          | c1_1(X97)
          | ~ c3_1(X97) ) )
    & ( ! [X98] :
          ( ~ c3_1(X98)
          | c0_1(X98)
          | ~ ndr1_0
          | ~ c1_1(X98) )
      | hskp10
      | ! [X99] :
          ( ~ c3_1(X99)
          | c1_1(X99)
          | ~ ndr1_0
          | c2_1(X99) ) )
    & ( hskp6
      | hskp5
      | ! [X100] :
          ( c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0
          | c3_1(X100) ) )
    & ( hskp20
      | hskp1
      | hskp11 )
    & ( ! [X101] :
          ( c3_1(X101)
          | ~ ndr1_0
          | ~ c0_1(X101)
          | c1_1(X101) )
      | hskp8
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c1_1(X102)
          | c0_1(X102)
          | c2_1(X102) ) )
    & ( ( c1_1(a274)
        & ~ c3_1(a274)
        & ndr1_0
        & ~ c0_1(a274) )
      | ~ hskp23 )
    & ( ! [X103] :
          ( ~ c3_1(X103)
          | ~ ndr1_0
          | c2_1(X103)
          | c1_1(X103) )
      | hskp5
      | ! [X104] :
          ( c3_1(X104)
          | ~ c0_1(X104)
          | ~ ndr1_0
          | c1_1(X104) ) )
    & ( ! [X105] :
          ( ~ c2_1(X105)
          | ~ ndr1_0
          | c0_1(X105)
          | c1_1(X105) )
      | hskp5
      | ! [X106] :
          ( ~ c3_1(X106)
          | ~ ndr1_0
          | ~ c0_1(X106)
          | ~ c1_1(X106) ) )
    & ( ! [X107] :
          ( ~ ndr1_0
          | ~ c2_1(X107)
          | c0_1(X107)
          | ~ c1_1(X107) )
      | hskp10
      | hskp17 )
    & ( ! [X108] :
          ( ~ c2_1(X108)
          | ~ c1_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( ~ c0_1(X109)
          | ~ c3_1(X109)
          | ~ ndr1_0
          | ~ c2_1(X109) )
      | ! [X110] :
          ( ~ c2_1(X110)
          | c1_1(X110)
          | ~ ndr1_0
          | c0_1(X110) ) )
    & ( hskp27
      | ! [X111] :
          ( ~ c3_1(X111)
          | ~ c0_1(X111)
          | c2_1(X111)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X112] :
          ( ~ c3_1(X112)
          | ~ c1_1(X112)
          | c2_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( c1_1(X113)
          | c2_1(X113)
          | ~ ndr1_0
          | ~ c0_1(X113) )
      | ! [X114] :
          ( ~ c2_1(X114)
          | c1_1(X114)
          | ~ ndr1_0
          | c3_1(X114) ) )
    & ( ! [X115] :
          ( ~ ndr1_0
          | c2_1(X115)
          | ~ c1_1(X115)
          | ~ c0_1(X115) )
      | ! [X116] :
          ( ~ c0_1(X116)
          | c3_1(X116)
          | c2_1(X116)
          | ~ ndr1_0 )
      | hskp5 )
    & ( hskp20
      | hskp10
      | hskp2 )
    & ( hskp18
      | ! [X117] :
          ( ~ ndr1_0
          | c1_1(X117)
          | c2_1(X117)
          | ~ c0_1(X117) )
      | hskp19 )
    & ( ~ hskp7
      | ( c1_1(a223)
        & ~ c0_1(a223)
        & c2_1(a223)
        & ndr1_0 ) )
    & ( ( ndr1_0
        & c1_1(a248)
        & ~ c2_1(a248)
        & c3_1(a248) )
      | ~ hskp17 )
    & ( ! [X118] :
          ( ~ ndr1_0
          | c3_1(X118)
          | c0_1(X118)
          | ~ c1_1(X118) )
      | ! [X119] :
          ( ~ ndr1_0
          | ~ c1_1(X119)
          | ~ c2_1(X119)
          | c3_1(X119) )
      | hskp12 )
    & ( hskp2
      | ! [X120] :
          ( ~ ndr1_0
          | ~ c0_1(X120)
          | ~ c3_1(X120)
          | ~ c2_1(X120) )
      | ! [X121] :
          ( c3_1(X121)
          | c0_1(X121)
          | ~ ndr1_0
          | c1_1(X121) ) )
    & ( ~ hskp20
      | ( ~ c3_1(a257)
        & c1_1(a257)
        & ndr1_0
        & c0_1(a257) ) )
    & ( ! [X122] :
          ( ~ ndr1_0
          | c3_1(X122)
          | c1_1(X122)
          | c2_1(X122) )
      | hskp2
      | hskp27 )
    & ( ( c0_1(a237)
        & ~ c3_1(a237)
        & c2_1(a237)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ~ hskp11
      | ( c0_1(a236)
        & ndr1_0
        & ~ c2_1(a236)
        & ~ c3_1(a236) ) )
    & ( ! [X123] :
          ( ~ c2_1(X123)
          | c3_1(X123)
          | ~ c1_1(X123)
          | ~ ndr1_0 )
      | hskp5
      | ! [X124] :
          ( c2_1(X124)
          | ~ ndr1_0
          | c0_1(X124)
          | ~ c3_1(X124) ) )
    & ( ! [X125] :
          ( ~ ndr1_0
          | ~ c0_1(X125)
          | ~ c2_1(X125)
          | ~ c3_1(X125) )
      | ! [X126] :
          ( c0_1(X126)
          | ~ ndr1_0
          | c1_1(X126)
          | ~ c2_1(X126) )
      | ! [X127] :
          ( c2_1(X127)
          | ~ c3_1(X127)
          | ~ ndr1_0
          | ~ c0_1(X127) ) )
    & ( ( ndr1_0
        & ~ c3_1(a217)
        & ~ c1_1(a217)
        & ~ c2_1(a217) )
      | ~ hskp4 ) ),
    inference(rectify,[],[f6]) ).

fof(f6,plain,
    ( ( ~ hskp28
      | ( c2_1(a282)
        & ndr1_0
        & c0_1(a282)
        & c1_1(a282) ) )
    & ( hskp22
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c0_1(X10)
          | ~ c1_1(X10)
          | c2_1(X10) )
      | ! [X11] :
          ( ~ c2_1(X11)
          | ~ ndr1_0
          | ~ c0_1(X11)
          | c1_1(X11) ) )
    & ( ! [X37] :
          ( ~ c0_1(X37)
          | ~ c2_1(X37)
          | c3_1(X37)
          | ~ ndr1_0 )
      | hskp7
      | hskp6 )
    & ( ! [X75] :
          ( ~ c2_1(X75)
          | ~ c1_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | hskp28
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c0_1(X76)
          | ~ c1_1(X76)
          | c3_1(X76) ) )
    & ( ! [X63] :
          ( ~ c3_1(X63)
          | ~ ndr1_0
          | ~ c1_1(X63)
          | c0_1(X63) )
      | hskp1
      | ! [X62] :
          ( ~ ndr1_0
          | c3_1(X62)
          | c2_1(X62)
          | ~ c1_1(X62) ) )
    & ( hskp26
      | hskp23
      | ! [X92] :
          ( c1_1(X92)
          | ~ c0_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 ) )
    & ( ! [X68] :
          ( ~ ndr1_0
          | ~ c0_1(X68)
          | ~ c2_1(X68)
          | ~ c3_1(X68) )
      | ! [X70] :
          ( ~ c1_1(X70)
          | ~ ndr1_0
          | c3_1(X70)
          | ~ c0_1(X70) )
      | ! [X69] :
          ( c3_1(X69)
          | ~ ndr1_0
          | ~ c1_1(X69)
          | c2_1(X69) ) )
    & ( hskp4
      | hskp23
      | hskp20 )
    & ( ! [X87] :
          ( ~ ndr1_0
          | ~ c3_1(X87)
          | c1_1(X87)
          | ~ c2_1(X87) )
      | hskp24
      | hskp15 )
    & ( ! [X65] :
          ( ~ ndr1_0
          | ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ c0_1(X65) )
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c0_1(X67)
          | c3_1(X67)
          | c1_1(X67) )
      | ! [X66] :
          ( ~ c1_1(X66)
          | c3_1(X66)
          | ~ ndr1_0
          | c0_1(X66) ) )
    & ( hskp12
      | hskp21
      | ! [X117] :
          ( ~ ndr1_0
          | ~ c2_1(X117)
          | c3_1(X117)
          | c1_1(X117) ) )
    & ( ( ~ c0_1(a242)
        & ~ c2_1(a242)
        & ndr1_0
        & c1_1(a242) )
      | ~ hskp15 )
    & ( hskp13
      | hskp16
      | hskp12 )
    & ( ( c3_1(a320)
        & ~ c0_1(a320)
        & c2_1(a320)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ! [X47] :
          ( ~ ndr1_0
          | c3_1(X47)
          | ~ c1_1(X47)
          | c0_1(X47) )
      | hskp3
      | hskp13 )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a220)
        & c1_1(a220)
        & ~ c3_1(a220) ) )
    & ( ! [X110] :
          ( c0_1(X110)
          | c1_1(X110)
          | ~ ndr1_0
          | ~ c2_1(X110) )
      | hskp3
      | hskp6 )
    & ( hskp0
      | ! [X109] :
          ( ~ ndr1_0
          | c1_1(X109)
          | ~ c2_1(X109)
          | c0_1(X109) )
      | hskp2 )
    & ( ! [X119] :
          ( ~ ndr1_0
          | ~ c2_1(X119)
          | ~ c0_1(X119)
          | ~ c3_1(X119) )
      | ! [X120] :
          ( c3_1(X120)
          | ~ c2_1(X120)
          | ~ ndr1_0
          | c1_1(X120) )
      | ! [X118] :
          ( ~ ndr1_0
          | ~ c3_1(X118)
          | c0_1(X118)
          | ~ c2_1(X118) ) )
    & ( ! [X0] :
          ( ~ c1_1(X0)
          | ~ c2_1(X0)
          | c3_1(X0)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c3_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 )
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c0_1(X1)
          | c3_1(X1)
          | c1_1(X1) ) )
    & ( ( ndr1_0
        & c1_1(a234)
        & c0_1(a234)
        & c3_1(a234) )
      | ~ hskp26 )
    & ( hskp8
      | ! [X5] :
          ( ~ ndr1_0
          | ~ c1_1(X5)
          | c2_1(X5)
          | c3_1(X5) )
      | ! [X6] :
          ( c3_1(X6)
          | c2_1(X6)
          | ~ ndr1_0
          | c1_1(X6) ) )
    & ( hskp29
      | hskp26
      | ! [X23] :
          ( ~ c2_1(X23)
          | ~ c3_1(X23)
          | ~ c1_1(X23)
          | ~ ndr1_0 ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c0_1(a231)
        & c3_1(a231)
        & c1_1(a231) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c1_1(a255)
        & ~ c0_1(a255)
        & ~ c3_1(a255) ) )
    & ( ! [X91] :
          ( ~ ndr1_0
          | c1_1(X91)
          | c2_1(X91)
          | c0_1(X91) )
      | hskp0 )
    & ( hskp16
      | ! [X95] :
          ( c0_1(X95)
          | ~ ndr1_0
          | ~ c1_1(X95)
          | ~ c2_1(X95) )
      | hskp7 )
    & ( ! [X127] :
          ( ~ c2_1(X127)
          | ~ ndr1_0
          | ~ c0_1(X127)
          | c3_1(X127) )
      | ! [X126] :
          ( ~ c3_1(X126)
          | ~ c0_1(X126)
          | ~ ndr1_0
          | c1_1(X126) )
      | hskp18 )
    & ( hskp1
      | ! [X96] :
          ( ~ c2_1(X96)
          | ~ ndr1_0
          | c3_1(X96)
          | c1_1(X96) )
      | ! [X97] :
          ( ~ c2_1(X97)
          | c1_1(X97)
          | ~ ndr1_0
          | ~ c3_1(X97) ) )
    & ( ! [X46] :
          ( ~ c2_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0
          | c1_1(X46) )
      | hskp11
      | ! [X45] :
          ( c3_1(X45)
          | ~ ndr1_0
          | ~ c1_1(X45)
          | c0_1(X45) ) )
    & ( ! [X56] :
          ( c1_1(X56)
          | c3_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c3_1(X57)
          | c0_1(X57)
          | c2_1(X57)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ ndr1_0
          | c1_1(X55)
          | c0_1(X55)
          | ~ c3_1(X55) ) )
    & ( ! [X17] :
          ( c3_1(X17)
          | ~ ndr1_0
          | ~ c1_1(X17)
          | ~ c0_1(X17) )
      | hskp14
      | ! [X16] :
          ( c0_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0
          | c3_1(X16) ) )
    & ( ( ~ c2_1(a225)
        & c3_1(a225)
        & ndr1_0
        & ~ c0_1(a225) )
      | ~ hskp8 )
    & ( ! [X44] :
          ( ~ c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0
          | c3_1(X44) )
      | ! [X42] :
          ( c3_1(X42)
          | ~ ndr1_0
          | ~ c0_1(X42)
          | c1_1(X42) )
      | ! [X43] :
          ( ~ c3_1(X43)
          | c2_1(X43)
          | ~ ndr1_0
          | ~ c0_1(X43) ) )
    & ( hskp26
      | ! [X54] :
          ( ~ c3_1(X54)
          | c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c3_1(X53)
          | ~ c2_1(X53)
          | ~ c1_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp17
      | ! [X64] :
          ( ~ c0_1(X64)
          | c1_1(X64)
          | ~ ndr1_0
          | c2_1(X64) ) )
    & ( ( ~ c3_1(a213)
        & ~ c1_1(a213)
        & c2_1(a213)
        & ndr1_0 )
      | ~ hskp0 )
    & ( hskp17
      | hskp18
      | hskp27 )
    & ( ( ~ c1_1(a241)
        & c3_1(a241)
        & ndr1_0
        & ~ c0_1(a241) )
      | ~ hskp14 )
    & ( ! [X86] :
          ( c2_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0
          | ~ c1_1(X86) )
      | ! [X85] :
          ( ~ c2_1(X85)
          | c0_1(X85)
          | ~ c1_1(X85)
          | ~ ndr1_0 )
      | hskp8 )
    & ( hskp8
      | hskp1
      | ! [X101] :
          ( c1_1(X101)
          | ~ c3_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X94] :
          ( ~ ndr1_0
          | ~ c3_1(X94)
          | c2_1(X94)
          | ~ c1_1(X94) )
      | ! [X93] :
          ( ~ ndr1_0
          | c0_1(X93)
          | ~ c3_1(X93)
          | ~ c1_1(X93) )
      | hskp18 )
    & ( ~ hskp21
      | ( c3_1(a259)
        & c0_1(a259)
        & ~ c2_1(a259)
        & ndr1_0 ) )
    & ( ! [X14] :
          ( c2_1(X14)
          | ~ c0_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | hskp26
      | ! [X15] :
          ( c0_1(X15)
          | ~ ndr1_0
          | ~ c1_1(X15)
          | ~ c2_1(X15) ) )
    & ( hskp8
      | hskp10
      | ! [X7] :
          ( ~ c0_1(X7)
          | ~ c2_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c0_1(a215)
        & ~ c1_1(a215)
        & c2_1(a215) ) )
    & ( ~ hskp3
      | ( c0_1(a216)
        & c1_1(a216)
        & ~ c2_1(a216)
        & ndr1_0 ) )
    & ( ( c3_1(a239)
        & ~ c1_1(a239)
        & c2_1(a239)
        & ndr1_0 )
      | ~ hskp13 )
    & ( hskp25
      | hskp19 )
    & ( ! [X99] :
          ( ~ c0_1(X99)
          | ~ ndr1_0
          | ~ c1_1(X99)
          | ~ c2_1(X99) )
      | ! [X98] :
          ( ~ c2_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0
          | ~ c0_1(X98) )
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c2_1(X100)
          | ~ c3_1(X100)
          | ~ c1_1(X100) ) )
    & ( ! [X50] :
          ( ~ ndr1_0
          | ~ c1_1(X50)
          | ~ c2_1(X50)
          | ~ c3_1(X50) )
      | ! [X52] :
          ( ~ c1_1(X52)
          | ~ ndr1_0
          | c3_1(X52)
          | ~ c0_1(X52) )
      | ! [X51] :
          ( c2_1(X51)
          | ~ c0_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X83] :
          ( c1_1(X83)
          | c0_1(X83)
          | ~ ndr1_0
          | ~ c3_1(X83) )
      | hskp7
      | ! [X84] :
          ( ~ c3_1(X84)
          | ~ ndr1_0
          | ~ c0_1(X84)
          | ~ c2_1(X84) ) )
    & ( ! [X81] :
          ( ~ c2_1(X81)
          | ~ c0_1(X81)
          | c1_1(X81)
          | ~ ndr1_0 )
      | hskp10
      | ! [X80] :
          ( c3_1(X80)
          | ~ ndr1_0
          | ~ c2_1(X80)
          | c0_1(X80) ) )
    & ( ! [X28] :
          ( ~ c0_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0
          | ~ c1_1(X28) )
      | hskp28
      | ! [X29] :
          ( c2_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0
          | c3_1(X29) ) )
    & ( ! [X20] :
          ( ~ ndr1_0
          | c2_1(X20)
          | ~ c1_1(X20)
          | c0_1(X20) )
      | hskp10
      | ! [X19] :
          ( ~ c1_1(X19)
          | ~ ndr1_0
          | c0_1(X19)
          | ~ c2_1(X19) ) )
    & ( ! [X102] :
          ( c2_1(X102)
          | ~ ndr1_0
          | ~ c1_1(X102)
          | c3_1(X102) )
      | ! [X103] :
          ( ~ c2_1(X103)
          | ~ c3_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X115] :
          ( ~ c2_1(X115)
          | ~ c1_1(X115)
          | ~ c0_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( ~ ndr1_0
          | ~ c3_1(X116)
          | ~ c0_1(X116)
          | ~ c2_1(X116) )
      | hskp22 )
    & ( hskp6
      | hskp3
      | ! [X111] :
          ( ~ c3_1(X111)
          | c0_1(X111)
          | ~ c1_1(X111)
          | ~ ndr1_0 ) )
    & ( ( ~ c2_1(a271)
        & ~ c0_1(a271)
        & ~ c1_1(a271)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c2_1(a226)
        & ~ c1_1(a226)
        & c0_1(a226) ) )
    & ( ! [X58] :
          ( c2_1(X58)
          | c1_1(X58)
          | c3_1(X58)
          | ~ ndr1_0 )
      | hskp19
      | hskp21 )
    & ( ( c3_1(a218)
        & ~ c2_1(a218)
        & ndr1_0
        & ~ c1_1(a218) )
      | ~ hskp5 )
    & ( hskp4
      | hskp20
      | ! [X22] :
          ( c3_1(X22)
          | c2_1(X22)
          | ~ ndr1_0
          | c1_1(X22) ) )
    & ( hskp1
      | hskp19
      | ! [X82] :
          ( c1_1(X82)
          | ~ ndr1_0
          | ~ c3_1(X82)
          | ~ c0_1(X82) ) )
    & ( ! [X4] :
          ( c0_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0
          | ~ c2_1(X4) )
      | ! [X3] :
          ( c3_1(X3)
          | c2_1(X3)
          | c0_1(X3)
          | ~ ndr1_0 )
      | hskp9 )
    & ( hskp0
      | hskp4
      | ! [X78] :
          ( c0_1(X78)
          | ~ ndr1_0
          | c3_1(X78)
          | c2_1(X78) ) )
    & ( hskp1
      | ! [X48] :
          ( ~ c0_1(X48)
          | ~ ndr1_0
          | c2_1(X48)
          | c3_1(X48) )
      | ! [X49] :
          ( c1_1(X49)
          | c3_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( ~ hskp29
      | ( c0_1(a296)
        & ndr1_0
        & c2_1(a296)
        & c3_1(a296) ) )
    & ( hskp0
      | hskp12
      | hskp1 )
    & ( ~ hskp1
      | ( c2_1(a214)
        & ~ c3_1(a214)
        & ~ c0_1(a214)
        & ndr1_0 ) )
    & ( ! [X79] :
          ( ~ c0_1(X79)
          | ~ c3_1(X79)
          | c1_1(X79)
          | ~ ndr1_0 )
      | hskp16
      | hskp4 )
    & ( ! [X38] :
          ( ~ c1_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0
          | ~ c0_1(X38) )
      | hskp27
      | hskp2 )
    & ( ( c3_1(a261)
        & c1_1(a261)
        & c2_1(a261)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ~ hskp24
      | ( ~ c3_1(a280)
        & ndr1_0
        & c1_1(a280)
        & ~ c2_1(a280) ) )
    & ( ( ndr1_0
        & ~ c1_1(a252)
        & c2_1(a252)
        & c0_1(a252) )
      | ~ hskp18 )
    & ( hskp9
      | ! [X36] :
          ( c2_1(X36)
          | c3_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | hskp26 )
    & ( hskp4
      | hskp3
      | ! [X90] :
          ( c1_1(X90)
          | ~ ndr1_0
          | c0_1(X90)
          | c3_1(X90) ) )
    & ( ! [X73] :
          ( ~ c3_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0
          | ~ c1_1(X73) )
      | ! [X71] :
          ( c0_1(X71)
          | ~ ndr1_0
          | c1_1(X71)
          | ~ c2_1(X71) )
      | ! [X72] :
          ( ~ ndr1_0
          | c0_1(X72)
          | c2_1(X72)
          | ~ c3_1(X72) ) )
    & ( ( ~ c1_1(a245)
        & ndr1_0
        & ~ c3_1(a245)
        & c0_1(a245) )
      | ~ hskp16 )
    & ( ! [X123] :
          ( ~ ndr1_0
          | ~ c1_1(X123)
          | c3_1(X123)
          | ~ c0_1(X123) )
      | ! [X121] :
          ( c1_1(X121)
          | c2_1(X121)
          | ~ c3_1(X121)
          | ~ ndr1_0 )
      | ! [X122] :
          ( c1_1(X122)
          | ~ c2_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( ~ ndr1_0
          | c1_1(X30)
          | ~ c3_1(X30)
          | c2_1(X30) )
      | ! [X31] :
          ( ~ c2_1(X31)
          | c0_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 )
      | hskp15 )
    & ( hskp9
      | hskp22
      | hskp18 )
    & ( hskp16
      | hskp3 )
    & ( ! [X33] :
          ( ~ ndr1_0
          | c1_1(X33)
          | c2_1(X33)
          | ~ c0_1(X33) )
      | ! [X32] :
          ( c2_1(X32)
          | ~ ndr1_0
          | c0_1(X32)
          | ~ c3_1(X32) )
      | hskp1 )
    & ( ! [X9] :
          ( ~ ndr1_0
          | ~ c3_1(X9)
          | c0_1(X9)
          | ~ c1_1(X9) )
      | hskp9
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c2_1(X8)
          | c1_1(X8)
          | ~ c3_1(X8) ) )
    & ( ! [X125] :
          ( ~ c3_1(X125)
          | c0_1(X125)
          | ~ ndr1_0
          | ~ c1_1(X125) )
      | hskp10
      | ! [X124] :
          ( ~ c3_1(X124)
          | c1_1(X124)
          | ~ ndr1_0
          | c2_1(X124) ) )
    & ( hskp6
      | hskp5
      | ! [X21] :
          ( c2_1(X21)
          | c0_1(X21)
          | ~ ndr1_0
          | c3_1(X21) ) )
    & ( hskp20
      | hskp1
      | hskp11 )
    & ( ! [X107] :
          ( c3_1(X107)
          | ~ ndr1_0
          | ~ c0_1(X107)
          | c1_1(X107) )
      | hskp8
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c1_1(X108)
          | c0_1(X108)
          | c2_1(X108) ) )
    & ( ( c1_1(a274)
        & ~ c3_1(a274)
        & ndr1_0
        & ~ c0_1(a274) )
      | ~ hskp23 )
    & ( ! [X27] :
          ( ~ c3_1(X27)
          | ~ ndr1_0
          | c2_1(X27)
          | c1_1(X27) )
      | hskp5
      | ! [X26] :
          ( c3_1(X26)
          | ~ c0_1(X26)
          | ~ ndr1_0
          | c1_1(X26) ) )
    & ( ! [X25] :
          ( ~ c2_1(X25)
          | ~ ndr1_0
          | c0_1(X25)
          | c1_1(X25) )
      | hskp5
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ ndr1_0
          | ~ c0_1(X24)
          | ~ c1_1(X24) ) )
    & ( ! [X18] :
          ( ~ ndr1_0
          | ~ c2_1(X18)
          | c0_1(X18)
          | ~ c1_1(X18) )
      | hskp10
      | hskp17 )
    & ( ! [X60] :
          ( ~ c2_1(X60)
          | ~ c1_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c0_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0
          | ~ c2_1(X59) )
      | ! [X61] :
          ( ~ c2_1(X61)
          | c1_1(X61)
          | ~ ndr1_0
          | c0_1(X61) ) )
    & ( hskp27
      | ! [X104] :
          ( ~ c3_1(X104)
          | ~ c0_1(X104)
          | c2_1(X104)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X114] :
          ( ~ c3_1(X114)
          | ~ c1_1(X114)
          | c2_1(X114)
          | ~ ndr1_0 )
      | ! [X113] :
          ( c1_1(X113)
          | c2_1(X113)
          | ~ ndr1_0
          | ~ c0_1(X113) )
      | ! [X112] :
          ( ~ c2_1(X112)
          | c1_1(X112)
          | ~ ndr1_0
          | c3_1(X112) ) )
    & ( ! [X34] :
          ( ~ ndr1_0
          | c2_1(X34)
          | ~ c1_1(X34)
          | ~ c0_1(X34) )
      | ! [X35] :
          ( ~ c0_1(X35)
          | c3_1(X35)
          | c2_1(X35)
          | ~ ndr1_0 )
      | hskp5 )
    & ( hskp20
      | hskp10
      | hskp2 )
    & ( hskp18
      | ! [X77] :
          ( ~ ndr1_0
          | c1_1(X77)
          | c2_1(X77)
          | ~ c0_1(X77) )
      | hskp19 )
    & ( ~ hskp7
      | ( c1_1(a223)
        & ~ c0_1(a223)
        & c2_1(a223)
        & ndr1_0 ) )
    & ( ( ndr1_0
        & c1_1(a248)
        & ~ c2_1(a248)
        & c3_1(a248) )
      | ~ hskp17 )
    & ( ! [X106] :
          ( ~ ndr1_0
          | c3_1(X106)
          | c0_1(X106)
          | ~ c1_1(X106) )
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c1_1(X105)
          | ~ c2_1(X105)
          | c3_1(X105) )
      | hskp12 )
    & ( hskp2
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c0_1(X12)
          | ~ c3_1(X12)
          | ~ c2_1(X12) )
      | ! [X13] :
          ( c3_1(X13)
          | c0_1(X13)
          | ~ ndr1_0
          | c1_1(X13) ) )
    & ( ~ hskp20
      | ( ~ c3_1(a257)
        & c1_1(a257)
        & ndr1_0
        & c0_1(a257) ) )
    & ( ! [X74] :
          ( ~ ndr1_0
          | c3_1(X74)
          | c1_1(X74)
          | c2_1(X74) )
      | hskp2
      | hskp27 )
    & ( ( c0_1(a237)
        & ~ c3_1(a237)
        & c2_1(a237)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ~ hskp11
      | ( c0_1(a236)
        & ndr1_0
        & ~ c2_1(a236)
        & ~ c3_1(a236) ) )
    & ( ! [X88] :
          ( ~ c2_1(X88)
          | c3_1(X88)
          | ~ c1_1(X88)
          | ~ ndr1_0 )
      | hskp5
      | ! [X89] :
          ( c2_1(X89)
          | ~ ndr1_0
          | c0_1(X89)
          | ~ c3_1(X89) ) )
    & ( ! [X39] :
          ( ~ ndr1_0
          | ~ c0_1(X39)
          | ~ c2_1(X39)
          | ~ c3_1(X39) )
      | ! [X40] :
          ( c0_1(X40)
          | ~ ndr1_0
          | c1_1(X40)
          | ~ c2_1(X40) )
      | ! [X41] :
          ( c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0
          | ~ c0_1(X41) ) )
    & ( ( ndr1_0
        & ~ c3_1(a217)
        & ~ c1_1(a217)
        & ~ c2_1(a217) )
      | ~ hskp4 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( ! [X28] :
          ( ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | hskp28
      | ! [X29] :
          ( ~ c1_1(X29)
          | c3_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( ~ c1_1(X69)
          | c3_1(X69)
          | c2_1(X69)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c2_1(X68)
          | ~ c0_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c0_1(X70)
          | c3_1(X70)
          | ~ c1_1(X70)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c1_1(a234)
        & c0_1(a234)
        & c3_1(a234) )
      | ~ hskp26 )
    & ( ! [X43] :
          ( c2_1(X43)
          | ~ c3_1(X43)
          | ~ c0_1(X43)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c3_1(X42)
          | ~ c0_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c2_1(X44)
          | c3_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X37] :
          ( ~ c2_1(X37)
          | c3_1(X37)
          | ~ c0_1(X37)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X58] :
          ( c1_1(X58)
          | c3_1(X58)
          | c2_1(X58)
          | ~ ndr1_0 )
      | hskp19
      | hskp21 )
    & ( hskp1
      | hskp19
      | ! [X82] :
          ( ~ c3_1(X82)
          | c1_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 ) )
    & ( ! [X50] :
          ( ~ c3_1(X50)
          | ~ c1_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c1_1(X52)
          | ~ c0_1(X52)
          | c3_1(X52)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c1_1(X51)
          | c2_1(X51)
          | ~ c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X81] :
          ( ~ c2_1(X81)
          | ~ c0_1(X81)
          | c1_1(X81)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c0_1(X80)
          | c3_1(X80)
          | ~ c2_1(X80)
          | ~ ndr1_0 ) )
    & ( ~ hskp28
      | ( c2_1(a282)
        & ndr1_0
        & c0_1(a282)
        & c1_1(a282) ) )
    & ( ! [X98] :
          ( ~ c3_1(X98)
          | ~ c0_1(X98)
          | ~ c2_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c0_1(X99)
          | ~ c1_1(X99)
          | ~ c2_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c1_1(X100)
          | ~ c2_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp16
      | hskp12 )
    & ( ! [X97] :
          ( ~ c3_1(X97)
          | ~ c2_1(X97)
          | c1_1(X97)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c2_1(X96)
          | c3_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ~ hskp20
      | ( ~ c3_1(a257)
        & c1_1(a257)
        & ndr1_0
        & c0_1(a257) ) )
    & ( ! [X77] :
          ( c1_1(X77)
          | ~ c0_1(X77)
          | c2_1(X77)
          | ~ ndr1_0 )
      | hskp19
      | hskp18 )
    & ( hskp4
      | ! [X90] :
          ( c1_1(X90)
          | c3_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ~ hskp29
      | ( c0_1(a296)
        & ndr1_0
        & c2_1(a296)
        & c3_1(a296) ) )
    & ( ! [X123] :
          ( c3_1(X123)
          | ~ c1_1(X123)
          | ~ c0_1(X123)
          | ~ ndr1_0 )
      | ! [X121] :
          ( ~ c3_1(X121)
          | c1_1(X121)
          | c2_1(X121)
          | ~ ndr1_0 )
      | ! [X122] :
          ( c1_1(X122)
          | ~ c2_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp2
      | ! [X109] :
          ( ~ c2_1(X109)
          | c0_1(X109)
          | c1_1(X109)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X64] :
          ( ~ c0_1(X64)
          | c1_1(X64)
          | c2_1(X64)
          | ~ ndr1_0 )
      | hskp17 )
    & ( hskp13
      | hskp3
      | ! [X47] :
          ( c3_1(X47)
          | ~ c1_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X75] :
          ( ~ c2_1(X75)
          | ~ c1_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c3_1(X76)
          | ~ c0_1(X76)
          | ~ c1_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp12
      | ! [X117] :
          ( ~ c2_1(X117)
          | c1_1(X117)
          | c3_1(X117)
          | ~ ndr1_0 ) )
    & ( ! [X87] :
          ( c1_1(X87)
          | ~ c2_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp24
      | hskp15 )
    & ( ! [X106] :
          ( c3_1(X106)
          | ~ c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 )
      | hskp12
      | ! [X105] :
          ( ~ c1_1(X105)
          | c3_1(X105)
          | ~ c2_1(X105)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp1
      | ! [X101] :
          ( c0_1(X101)
          | ~ c3_1(X101)
          | c1_1(X101)
          | ~ ndr1_0 ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c0_1(a215)
        & ~ c1_1(a215)
        & c2_1(a215) ) )
    & ( ! [X21] :
          ( c2_1(X21)
          | c0_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | hskp6
      | hskp5 )
    & ( hskp0
      | hskp12
      | hskp1 )
    & ( ! [X66] :
          ( c3_1(X66)
          | ~ c1_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c1_1(X67)
          | ~ c0_1(X67)
          | c3_1(X67)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c0_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X91] :
          ( c2_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp23
      | hskp20 )
    & ( ( ~ c3_1(a213)
        & ~ c1_1(a213)
        & c2_1(a213)
        & ndr1_0 )
      | ~ hskp0 )
    & ( ( ~ c2_1(a225)
        & c3_1(a225)
        & ndr1_0
        & ~ c0_1(a225) )
      | ~ hskp8 )
    & ( hskp6
      | hskp3
      | ! [X111] :
          ( ~ c1_1(X111)
          | ~ c3_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a274)
        & ~ c3_1(a274)
        & ndr1_0
        & ~ c0_1(a274) )
      | ~ hskp23 )
    & ( hskp1
      | ! [X33] :
          ( ~ c0_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c3_1(X32)
          | c0_1(X32)
          | c2_1(X32)
          | ~ ndr1_0 ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c2_1(a226)
        & ~ c1_1(a226)
        & c0_1(a226) ) )
    & ( ! [X38] :
          ( ~ c0_1(X38)
          | ~ c1_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | hskp2
      | hskp27 )
    & ( hskp26
      | ! [X15] :
          ( c0_1(X15)
          | ~ c2_1(X15)
          | ~ c1_1(X15)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c3_1(X14)
          | c2_1(X14)
          | ~ c0_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp1
      | hskp11 )
    & ( ! [X39] :
          ( ~ c0_1(X39)
          | ~ c3_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | c0_1(X40)
          | ~ c2_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | c2_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( c3_1(X74)
          | c2_1(X74)
          | c1_1(X74)
          | ~ ndr1_0 )
      | hskp2
      | hskp27 )
    & ( ! [X36] :
          ( ~ c1_1(X36)
          | c2_1(X36)
          | c3_1(X36)
          | ~ ndr1_0 )
      | hskp9
      | hskp26 )
    & ( ! [X6] :
          ( c1_1(X6)
          | c2_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 )
      | hskp8
      | ! [X5] :
          ( c2_1(X5)
          | ~ c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( ~ c1_1(X86)
          | ~ c0_1(X86)
          | c2_1(X86)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c0_1(X85)
          | ~ c2_1(X85)
          | ~ c1_1(X85)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X18] :
          ( ~ c2_1(X18)
          | c0_1(X18)
          | ~ c1_1(X18)
          | ~ ndr1_0 )
      | hskp10
      | hskp17 )
    & ( ! [X126] :
          ( ~ c3_1(X126)
          | c1_1(X126)
          | ~ c0_1(X126)
          | ~ ndr1_0 )
      | hskp18
      | ! [X127] :
          ( c3_1(X127)
          | ~ c2_1(X127)
          | ~ c0_1(X127)
          | ~ ndr1_0 ) )
    & ( ( ~ c2_1(a271)
        & ~ c0_1(a271)
        & ~ c1_1(a271)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ! [X73] :
          ( ~ c1_1(X73)
          | ~ c3_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c0_1(X72)
          | c2_1(X72)
          | ~ c3_1(X72)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c1_1(X71)
          | c0_1(X71)
          | ~ c2_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X34] :
          ( ~ c1_1(X34)
          | c2_1(X34)
          | ~ c0_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c2_1(X35)
          | c3_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X102] :
          ( ~ c1_1(X102)
          | c2_1(X102)
          | c3_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c3_1(X103)
          | c0_1(X103)
          | ~ c2_1(X103)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X48] :
          ( c2_1(X48)
          | ~ c0_1(X48)
          | c3_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c1_1(X49)
          | c0_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ( c3_1(a261)
        & c1_1(a261)
        & c2_1(a261)
        & ndr1_0 )
      | ~ hskp27 )
    & ( hskp7
      | ! [X84] :
          ( ~ c0_1(X84)
          | ~ c3_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c0_1(X83)
          | c1_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 ) )
    & ( ! [X13] :
          ( c1_1(X13)
          | c0_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c2_1(X12)
          | ~ c0_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0 )
      | hskp2 )
    & ( hskp27
      | ! [X104] :
          ( ~ c0_1(X104)
          | ~ c3_1(X104)
          | c2_1(X104)
          | ~ ndr1_0 )
      | hskp3 )
    & ( hskp8
      | ! [X107] :
          ( c1_1(X107)
          | ~ c0_1(X107)
          | c3_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c1_1(X108)
          | c0_1(X108)
          | c2_1(X108)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c3_1(a217)
        & ~ c1_1(a217)
        & ~ c2_1(a217) )
      | ~ hskp4 )
    & ( ~ hskp21
      | ( c3_1(a259)
        & c0_1(a259)
        & ~ c2_1(a259)
        & ndr1_0 ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c0_1(a231)
        & c3_1(a231)
        & c1_1(a231) ) )
    & ( hskp9
      | hskp22
      | hskp18 )
    & ( hskp20
      | hskp10
      | hskp2 )
    & ( ! [X8] :
          ( c1_1(X8)
          | ~ c2_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c0_1(X9)
          | ~ c3_1(X9)
          | ~ c1_1(X9)
          | ~ ndr1_0 )
      | hskp9 )
    & ( hskp5
      | ! [X88] :
          ( c3_1(X88)
          | ~ c2_1(X88)
          | ~ c1_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c0_1(X89)
          | ~ c3_1(X89)
          | c2_1(X89)
          | ~ ndr1_0 ) )
    & ( ~ hskp11
      | ( c0_1(a236)
        & ndr1_0
        & ~ c2_1(a236)
        & ~ c3_1(a236) ) )
    & ( ( c3_1(a239)
        & ~ c1_1(a239)
        & c2_1(a239)
        & ndr1_0 )
      | ~ hskp13 )
    & ( hskp16
      | hskp3 )
    & ( ! [X11] :
          ( ~ c2_1(X11)
          | ~ c0_1(X11)
          | c1_1(X11)
          | ~ ndr1_0 )
      | hskp22
      | ! [X10] :
          ( ~ c1_1(X10)
          | c2_1(X10)
          | ~ c0_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp18
      | hskp27 )
    & ( ( ndr1_0
        & c1_1(a248)
        & ~ c2_1(a248)
        & c3_1(a248) )
      | ~ hskp17 )
    & ( ~ hskp24
      | ( ~ c3_1(a280)
        & ndr1_0
        & c1_1(a280)
        & ~ c2_1(a280) ) )
    & ( hskp7
      | ! [X95] :
          ( ~ c2_1(X95)
          | ~ c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X92] :
          ( ~ c0_1(X92)
          | ~ c3_1(X92)
          | c1_1(X92)
          | ~ ndr1_0 )
      | hskp26
      | hskp23 )
    & ( hskp25
      | hskp19 )
    & ( hskp26
      | ! [X23] :
          ( ~ c1_1(X23)
          | ~ c3_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | hskp29 )
    & ( hskp26
      | ! [X54] :
          ( ~ c3_1(X54)
          | c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c2_1(X53)
          | ~ c1_1(X53)
          | c3_1(X53)
          | ~ ndr1_0 ) )
    & ( ~ hskp1
      | ( c2_1(a214)
        & ~ c3_1(a214)
        & ~ c0_1(a214)
        & ndr1_0 ) )
    & ( ~ hskp3
      | ( c0_1(a216)
        & c1_1(a216)
        & ~ c2_1(a216)
        & ndr1_0 ) )
    & ( ! [X93] :
          ( ~ c3_1(X93)
          | ~ c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 )
      | hskp18
      | ! [X94] :
          ( ~ c1_1(X94)
          | c2_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X22] :
          ( c1_1(X22)
          | c3_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ( c0_1(a237)
        & ~ c3_1(a237)
        & c2_1(a237)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ! [X118] :
          ( ~ c2_1(X118)
          | ~ c3_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 )
      | ! [X119] :
          ( ~ c3_1(X119)
          | ~ c0_1(X119)
          | ~ c2_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( c3_1(X120)
          | c1_1(X120)
          | ~ c2_1(X120)
          | ~ ndr1_0 ) )
    & ( ( ~ c1_1(a245)
        & ndr1_0
        & ~ c3_1(a245)
        & c0_1(a245) )
      | ~ hskp16 )
    & ( hskp11
      | ! [X45] :
          ( c0_1(X45)
          | c3_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c0_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( ( ~ c1_1(a241)
        & c3_1(a241)
        & ndr1_0
        & ~ c0_1(a241) )
      | ~ hskp14 )
    & ( hskp15
      | ! [X31] :
          ( ~ c1_1(X31)
          | c0_1(X31)
          | ~ c2_1(X31)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c2_1(X30)
          | c1_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c0_1(X7)
          | ~ c2_1(X7)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X1] :
          ( ~ c0_1(X1)
          | c1_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | ! [X0] :
          ( c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X110] :
          ( c0_1(X110)
          | ~ c2_1(X110)
          | c1_1(X110)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c1_1(a255)
        & ~ c0_1(a255)
        & ~ c3_1(a255) ) )
    & ( hskp22
      | ! [X115] :
          ( ~ c1_1(X115)
          | ~ c0_1(X115)
          | ~ c2_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( ~ c2_1(X116)
          | ~ c3_1(X116)
          | ~ c0_1(X116)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c1_1(a252)
        & c2_1(a252)
        & c0_1(a252) )
      | ~ hskp18 )
    & ( ( c3_1(a218)
        & ~ c2_1(a218)
        & ndr1_0
        & ~ c1_1(a218) )
      | ~ hskp5 )
    & ( hskp5
      | ! [X26] :
          ( ~ c0_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c3_1(X27)
          | c1_1(X27)
          | c2_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X114] :
          ( ~ c1_1(X114)
          | c2_1(X114)
          | ~ c3_1(X114)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c3_1(X112)
          | ~ c2_1(X112)
          | c1_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( c2_1(X113)
          | c1_1(X113)
          | ~ c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp16
      | ! [X79] :
          ( c1_1(X79)
          | ~ c0_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 ) )
    & ( ( ~ c0_1(a242)
        & ~ c2_1(a242)
        & ndr1_0
        & c1_1(a242) )
      | ~ hskp15 )
    & ( ! [X59] :
          ( ~ c2_1(X59)
          | ~ c3_1(X59)
          | ~ c0_1(X59)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c0_1(X61)
          | ~ c2_1(X61)
          | c1_1(X61)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( ~ c0_1(X17)
          | ~ c1_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | hskp14
      | ! [X16] :
          ( c0_1(X16)
          | ~ c2_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X125] :
          ( c0_1(X125)
          | ~ c1_1(X125)
          | ~ c3_1(X125)
          | ~ ndr1_0 )
      | ! [X124] :
          ( c2_1(X124)
          | ~ c3_1(X124)
          | c1_1(X124)
          | ~ ndr1_0 )
      | hskp10 )
    & ( hskp1
      | ! [X63] :
          ( c0_1(X63)
          | ~ c3_1(X63)
          | ~ c1_1(X63)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c2_1(X62)
          | c3_1(X62)
          | ~ c1_1(X62)
          | ~ ndr1_0 ) )
    & ( ! [X4] :
          ( ~ c3_1(X4)
          | ~ c2_1(X4)
          | c0_1(X4)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c3_1(X3)
          | c0_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ~ hskp7
      | ( c1_1(a223)
        & ~ c0_1(a223)
        & c2_1(a223)
        & ndr1_0 ) )
    & ( ! [X20] :
          ( ~ c1_1(X20)
          | c0_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | hskp10
      | ! [X19] :
          ( ~ c2_1(X19)
          | c0_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X78] :
          ( c3_1(X78)
          | c0_1(X78)
          | c2_1(X78)
          | ~ ndr1_0 )
      | hskp0
      | hskp4 )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a220)
        & c1_1(a220)
        & ~ c3_1(a220) ) )
    & ( ! [X56] :
          ( ~ c0_1(X56)
          | c1_1(X56)
          | c3_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c3_1(X57)
          | c0_1(X57)
          | c2_1(X57)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c1_1(X55)
          | ~ c3_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a320)
        & ~ c0_1(a320)
        & c2_1(a320)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ! [X24] :
          ( ~ c1_1(X24)
          | ~ c3_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | hskp5
      | ! [X25] :
          ( c0_1(X25)
          | c1_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 ) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( ! [X28] :
          ( ndr1_0
         => ( ~ c1_1(X28)
            | ~ c0_1(X28)
            | ~ c3_1(X28) ) )
      | hskp28
      | ! [X29] :
          ( ndr1_0
         => ( ~ c1_1(X29)
            | c3_1(X29)
            | c2_1(X29) ) ) )
    & ( ! [X69] :
          ( ndr1_0
         => ( ~ c1_1(X69)
            | c3_1(X69)
            | c2_1(X69) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | ~ c0_1(X68)
            | ~ c3_1(X68) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c0_1(X70)
            | c3_1(X70)
            | ~ c1_1(X70) ) ) )
    & ( ( ndr1_0
        & c1_1(a234)
        & c0_1(a234)
        & c3_1(a234) )
      | ~ hskp26 )
    & ( ! [X43] :
          ( ndr1_0
         => ( c2_1(X43)
            | ~ c3_1(X43)
            | ~ c0_1(X43) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c3_1(X42)
            | ~ c0_1(X42)
            | c1_1(X42) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c2_1(X44)
            | c3_1(X44)
            | c1_1(X44) ) ) )
    & ( hskp6
      | ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | c3_1(X37)
            | ~ c0_1(X37) ) )
      | hskp7 )
    & ( ! [X58] :
          ( ndr1_0
         => ( c1_1(X58)
            | c3_1(X58)
            | c2_1(X58) ) )
      | hskp19
      | hskp21 )
    & ( hskp1
      | hskp19
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | c1_1(X82)
            | ~ c0_1(X82) ) ) )
    & ( ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | ~ c1_1(X50)
            | ~ c2_1(X50) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c1_1(X52)
            | ~ c0_1(X52)
            | c3_1(X52) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c1_1(X51)
            | c2_1(X51)
            | ~ c0_1(X51) ) ) )
    & ( hskp10
      | ! [X81] :
          ( ndr1_0
         => ( ~ c2_1(X81)
            | ~ c0_1(X81)
            | c1_1(X81) ) )
      | ! [X80] :
          ( ndr1_0
         => ( c0_1(X80)
            | c3_1(X80)
            | ~ c2_1(X80) ) ) )
    & ( ~ hskp28
      | ( c2_1(a282)
        & ndr1_0
        & c0_1(a282)
        & c1_1(a282) ) )
    & ( ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | ~ c0_1(X98)
            | ~ c2_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c0_1(X99)
            | ~ c1_1(X99)
            | ~ c2_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c1_1(X100)
            | ~ c2_1(X100)
            | ~ c3_1(X100) ) ) )
    & ( hskp13
      | hskp16
      | hskp12 )
    & ( ! [X97] :
          ( ndr1_0
         => ( ~ c3_1(X97)
            | ~ c2_1(X97)
            | c1_1(X97) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c2_1(X96)
            | c3_1(X96)
            | c1_1(X96) ) )
      | hskp1 )
    & ( ~ hskp20
      | ( ~ c3_1(a257)
        & c1_1(a257)
        & ndr1_0
        & c0_1(a257) ) )
    & ( ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | ~ c0_1(X77)
            | c2_1(X77) ) )
      | hskp19
      | hskp18 )
    & ( hskp4
      | ! [X90] :
          ( ndr1_0
         => ( c1_1(X90)
            | c3_1(X90)
            | c0_1(X90) ) )
      | hskp3 )
    & ( ~ hskp29
      | ( c0_1(a296)
        & ndr1_0
        & c2_1(a296)
        & c3_1(a296) ) )
    & ( ! [X123] :
          ( ndr1_0
         => ( c3_1(X123)
            | ~ c1_1(X123)
            | ~ c0_1(X123) ) )
      | ! [X121] :
          ( ndr1_0
         => ( ~ c3_1(X121)
            | c1_1(X121)
            | c2_1(X121) ) )
      | ! [X122] :
          ( ndr1_0
         => ( c1_1(X122)
            | ~ c2_1(X122)
            | c0_1(X122) ) ) )
    & ( hskp0
      | hskp2
      | ! [X109] :
          ( ndr1_0
         => ( ~ c2_1(X109)
            | c0_1(X109)
            | c1_1(X109) ) ) )
    & ( hskp12
      | ! [X64] :
          ( ndr1_0
         => ( ~ c0_1(X64)
            | c1_1(X64)
            | c2_1(X64) ) )
      | hskp17 )
    & ( hskp13
      | hskp3
      | ! [X47] :
          ( ndr1_0
         => ( c3_1(X47)
            | ~ c1_1(X47)
            | c0_1(X47) ) ) )
    & ( hskp28
      | ! [X75] :
          ( ndr1_0
         => ( ~ c2_1(X75)
            | ~ c1_1(X75)
            | ~ c3_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( c3_1(X76)
            | ~ c0_1(X76)
            | ~ c1_1(X76) ) ) )
    & ( hskp21
      | hskp12
      | ! [X117] :
          ( ndr1_0
         => ( ~ c2_1(X117)
            | c1_1(X117)
            | c3_1(X117) ) ) )
    & ( ! [X87] :
          ( ndr1_0
         => ( c1_1(X87)
            | ~ c2_1(X87)
            | ~ c3_1(X87) ) )
      | hskp24
      | hskp15 )
    & ( ! [X106] :
          ( ndr1_0
         => ( c3_1(X106)
            | ~ c1_1(X106)
            | c0_1(X106) ) )
      | hskp12
      | ! [X105] :
          ( ndr1_0
         => ( ~ c1_1(X105)
            | c3_1(X105)
            | ~ c2_1(X105) ) ) )
    & ( hskp8
      | hskp1
      | ! [X101] :
          ( ndr1_0
         => ( c0_1(X101)
            | ~ c3_1(X101)
            | c1_1(X101) ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c0_1(a215)
        & ~ c1_1(a215)
        & c2_1(a215) ) )
    & ( ! [X21] :
          ( ndr1_0
         => ( c2_1(X21)
            | c0_1(X21)
            | c3_1(X21) ) )
      | hskp6
      | hskp5 )
    & ( hskp0
      | hskp12
      | hskp1 )
    & ( ! [X66] :
          ( ndr1_0
         => ( c3_1(X66)
            | ~ c1_1(X66)
            | c0_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | ~ c0_1(X67)
            | c3_1(X67) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | ~ c0_1(X65)
            | ~ c3_1(X65) ) ) )
    & ( hskp0
      | ! [X91] :
          ( ndr1_0
         => ( c2_1(X91)
            | c1_1(X91)
            | c0_1(X91) ) ) )
    & ( hskp4
      | hskp23
      | hskp20 )
    & ( ( ~ c3_1(a213)
        & ~ c1_1(a213)
        & c2_1(a213)
        & ndr1_0 )
      | ~ hskp0 )
    & ( ( ~ c2_1(a225)
        & c3_1(a225)
        & ndr1_0
        & ~ c0_1(a225) )
      | ~ hskp8 )
    & ( hskp6
      | hskp3
      | ! [X111] :
          ( ndr1_0
         => ( ~ c1_1(X111)
            | ~ c3_1(X111)
            | c0_1(X111) ) ) )
    & ( ( c1_1(a274)
        & ~ c3_1(a274)
        & ndr1_0
        & ~ c0_1(a274) )
      | ~ hskp23 )
    & ( hskp1
      | ! [X33] :
          ( ndr1_0
         => ( ~ c0_1(X33)
            | c2_1(X33)
            | c1_1(X33) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | c0_1(X32)
            | c2_1(X32) ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c2_1(a226)
        & ~ c1_1(a226)
        & c0_1(a226) ) )
    & ( ! [X38] :
          ( ndr1_0
         => ( ~ c0_1(X38)
            | ~ c1_1(X38)
            | ~ c3_1(X38) ) )
      | hskp2
      | hskp27 )
    & ( hskp26
      | ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | ~ c2_1(X15)
            | ~ c1_1(X15) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c3_1(X14)
            | c2_1(X14)
            | ~ c0_1(X14) ) ) )
    & ( hskp20
      | hskp1
      | hskp11 )
    & ( ! [X39] :
          ( ndr1_0
         => ( ~ c0_1(X39)
            | ~ c3_1(X39)
            | ~ c2_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c1_1(X40)
            | c0_1(X40)
            | ~ c2_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | c2_1(X41)
            | ~ c0_1(X41) ) ) )
    & ( ! [X74] :
          ( ndr1_0
         => ( c3_1(X74)
            | c2_1(X74)
            | c1_1(X74) ) )
      | hskp2
      | hskp27 )
    & ( ! [X36] :
          ( ndr1_0
         => ( ~ c1_1(X36)
            | c2_1(X36)
            | c3_1(X36) ) )
      | hskp9
      | hskp26 )
    & ( ! [X6] :
          ( ndr1_0
         => ( c1_1(X6)
            | c2_1(X6)
            | c3_1(X6) ) )
      | hskp8
      | ! [X5] :
          ( ndr1_0
         => ( c2_1(X5)
            | ~ c1_1(X5)
            | c3_1(X5) ) ) )
    & ( ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | ~ c0_1(X86)
            | c2_1(X86) ) )
      | ! [X85] :
          ( ndr1_0
         => ( c0_1(X85)
            | ~ c2_1(X85)
            | ~ c1_1(X85) ) )
      | hskp8 )
    & ( ! [X18] :
          ( ndr1_0
         => ( ~ c2_1(X18)
            | c0_1(X18)
            | ~ c1_1(X18) ) )
      | hskp10
      | hskp17 )
    & ( ! [X126] :
          ( ndr1_0
         => ( ~ c3_1(X126)
            | c1_1(X126)
            | ~ c0_1(X126) ) )
      | hskp18
      | ! [X127] :
          ( ndr1_0
         => ( c3_1(X127)
            | ~ c2_1(X127)
            | ~ c0_1(X127) ) ) )
    & ( ( ~ c2_1(a271)
        & ~ c0_1(a271)
        & ~ c1_1(a271)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ! [X73] :
          ( ndr1_0
         => ( ~ c1_1(X73)
            | ~ c3_1(X73)
            | ~ c2_1(X73) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c0_1(X72)
            | c2_1(X72)
            | ~ c3_1(X72) ) )
      | ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | c0_1(X71)
            | ~ c2_1(X71) ) ) )
    & ( ! [X34] :
          ( ndr1_0
         => ( ~ c1_1(X34)
            | c2_1(X34)
            | ~ c0_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c2_1(X35)
            | c3_1(X35)
            | ~ c0_1(X35) ) )
      | hskp5 )
    & ( ! [X102] :
          ( ndr1_0
         => ( ~ c1_1(X102)
            | c2_1(X102)
            | c3_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | c0_1(X103)
            | ~ c2_1(X103) ) )
      | hskp19 )
    & ( ! [X48] :
          ( ndr1_0
         => ( c2_1(X48)
            | ~ c0_1(X48)
            | c3_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( c1_1(X49)
            | c0_1(X49)
            | c3_1(X49) ) )
      | hskp1 )
    & ( ( c3_1(a261)
        & c1_1(a261)
        & c2_1(a261)
        & ndr1_0 )
      | ~ hskp27 )
    & ( hskp7
      | ! [X84] :
          ( ndr1_0
         => ( ~ c0_1(X84)
            | ~ c3_1(X84)
            | ~ c2_1(X84) ) )
      | ! [X83] :
          ( ndr1_0
         => ( c0_1(X83)
            | c1_1(X83)
            | ~ c3_1(X83) ) ) )
    & ( ! [X13] :
          ( ndr1_0
         => ( c1_1(X13)
            | c0_1(X13)
            | c3_1(X13) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c2_1(X12)
            | ~ c0_1(X12)
            | ~ c3_1(X12) ) )
      | hskp2 )
    & ( hskp27
      | ! [X104] :
          ( ndr1_0
         => ( ~ c0_1(X104)
            | ~ c3_1(X104)
            | c2_1(X104) ) )
      | hskp3 )
    & ( hskp8
      | ! [X107] :
          ( ndr1_0
         => ( c1_1(X107)
            | ~ c0_1(X107)
            | c3_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c1_1(X108)
            | c0_1(X108)
            | c2_1(X108) ) ) )
    & ( ( ndr1_0
        & ~ c3_1(a217)
        & ~ c1_1(a217)
        & ~ c2_1(a217) )
      | ~ hskp4 )
    & ( ~ hskp21
      | ( c3_1(a259)
        & c0_1(a259)
        & ~ c2_1(a259)
        & ndr1_0 ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c0_1(a231)
        & c3_1(a231)
        & c1_1(a231) ) )
    & ( hskp9
      | hskp22
      | hskp18 )
    & ( hskp20
      | hskp10
      | hskp2 )
    & ( ! [X8] :
          ( ndr1_0
         => ( c1_1(X8)
            | ~ c2_1(X8)
            | ~ c3_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | ~ c3_1(X9)
            | ~ c1_1(X9) ) )
      | hskp9 )
    & ( hskp5
      | ! [X88] :
          ( ndr1_0
         => ( c3_1(X88)
            | ~ c2_1(X88)
            | ~ c1_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( c0_1(X89)
            | ~ c3_1(X89)
            | c2_1(X89) ) ) )
    & ( ~ hskp11
      | ( c0_1(a236)
        & ndr1_0
        & ~ c2_1(a236)
        & ~ c3_1(a236) ) )
    & ( ( c3_1(a239)
        & ~ c1_1(a239)
        & c2_1(a239)
        & ndr1_0 )
      | ~ hskp13 )
    & ( hskp16
      | hskp3 )
    & ( ! [X11] :
          ( ndr1_0
         => ( ~ c2_1(X11)
            | ~ c0_1(X11)
            | c1_1(X11) ) )
      | hskp22
      | ! [X10] :
          ( ndr1_0
         => ( ~ c1_1(X10)
            | c2_1(X10)
            | ~ c0_1(X10) ) ) )
    & ( hskp17
      | hskp18
      | hskp27 )
    & ( ( ndr1_0
        & c1_1(a248)
        & ~ c2_1(a248)
        & c3_1(a248) )
      | ~ hskp17 )
    & ( ~ hskp24
      | ( ~ c3_1(a280)
        & ndr1_0
        & c1_1(a280)
        & ~ c2_1(a280) ) )
    & ( hskp7
      | ! [X95] :
          ( ndr1_0
         => ( ~ c2_1(X95)
            | ~ c1_1(X95)
            | c0_1(X95) ) )
      | hskp16 )
    & ( ! [X92] :
          ( ndr1_0
         => ( ~ c0_1(X92)
            | ~ c3_1(X92)
            | c1_1(X92) ) )
      | hskp26
      | hskp23 )
    & ( hskp25
      | hskp19 )
    & ( hskp26
      | ! [X23] :
          ( ndr1_0
         => ( ~ c1_1(X23)
            | ~ c3_1(X23)
            | ~ c2_1(X23) ) )
      | hskp29 )
    & ( hskp26
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | c2_1(X54)
            | c0_1(X54) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c2_1(X53)
            | ~ c1_1(X53)
            | c3_1(X53) ) ) )
    & ( ~ hskp1
      | ( c2_1(a214)
        & ~ c3_1(a214)
        & ~ c0_1(a214)
        & ndr1_0 ) )
    & ( ~ hskp3
      | ( c0_1(a216)
        & c1_1(a216)
        & ~ c2_1(a216)
        & ndr1_0 ) )
    & ( ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | ~ c1_1(X93)
            | c0_1(X93) ) )
      | hskp18
      | ! [X94] :
          ( ndr1_0
         => ( ~ c1_1(X94)
            | c2_1(X94)
            | ~ c3_1(X94) ) ) )
    & ( hskp20
      | ! [X22] :
          ( ndr1_0
         => ( c1_1(X22)
            | c3_1(X22)
            | c2_1(X22) ) )
      | hskp4 )
    & ( ( c0_1(a237)
        & ~ c3_1(a237)
        & c2_1(a237)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ! [X118] :
          ( ndr1_0
         => ( ~ c2_1(X118)
            | ~ c3_1(X118)
            | c0_1(X118) ) )
      | ! [X119] :
          ( ndr1_0
         => ( ~ c3_1(X119)
            | ~ c0_1(X119)
            | ~ c2_1(X119) ) )
      | ! [X120] :
          ( ndr1_0
         => ( c3_1(X120)
            | c1_1(X120)
            | ~ c2_1(X120) ) ) )
    & ( ( ~ c1_1(a245)
        & ndr1_0
        & ~ c3_1(a245)
        & c0_1(a245) )
      | ~ hskp16 )
    & ( hskp11
      | ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | c3_1(X45)
            | ~ c1_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c2_1(X46)
            | ~ c0_1(X46)
            | c1_1(X46) ) ) )
    & ( ( ~ c1_1(a241)
        & c3_1(a241)
        & ndr1_0
        & ~ c0_1(a241) )
      | ~ hskp14 )
    & ( hskp15
      | ! [X31] :
          ( ndr1_0
         => ( ~ c1_1(X31)
            | c0_1(X31)
            | ~ c2_1(X31) ) )
      | ! [X30] :
          ( ndr1_0
         => ( c2_1(X30)
            | c1_1(X30)
            | ~ c3_1(X30) ) ) )
    & ( hskp10
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c0_1(X7)
            | ~ c2_1(X7) ) )
      | hskp8 )
    & ( ! [X1] :
          ( ndr1_0
         => ( ~ c0_1(X1)
            | c1_1(X1)
            | c3_1(X1) ) )
      | ! [X0] :
          ( ndr1_0
         => ( c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) )
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c1_1(X2) ) ) )
    & ( hskp6
      | ! [X110] :
          ( ndr1_0
         => ( c0_1(X110)
            | ~ c2_1(X110)
            | c1_1(X110) ) )
      | hskp3 )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c1_1(a255)
        & ~ c0_1(a255)
        & ~ c3_1(a255) ) )
    & ( hskp22
      | ! [X115] :
          ( ndr1_0
         => ( ~ c1_1(X115)
            | ~ c0_1(X115)
            | ~ c2_1(X115) ) )
      | ! [X116] :
          ( ndr1_0
         => ( ~ c2_1(X116)
            | ~ c3_1(X116)
            | ~ c0_1(X116) ) ) )
    & ( ( ndr1_0
        & ~ c1_1(a252)
        & c2_1(a252)
        & c0_1(a252) )
      | ~ hskp18 )
    & ( ( c3_1(a218)
        & ~ c2_1(a218)
        & ndr1_0
        & ~ c1_1(a218) )
      | ~ hskp5 )
    & ( hskp5
      | ! [X26] :
          ( ndr1_0
         => ( ~ c0_1(X26)
            | c3_1(X26)
            | c1_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | c1_1(X27)
            | c2_1(X27) ) ) )
    & ( ! [X114] :
          ( ndr1_0
         => ( ~ c1_1(X114)
            | c2_1(X114)
            | ~ c3_1(X114) ) )
      | ! [X112] :
          ( ndr1_0
         => ( c3_1(X112)
            | ~ c2_1(X112)
            | c1_1(X112) ) )
      | ! [X113] :
          ( ndr1_0
         => ( c2_1(X113)
            | c1_1(X113)
            | ~ c0_1(X113) ) ) )
    & ( hskp4
      | hskp16
      | ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | ~ c0_1(X79)
            | ~ c3_1(X79) ) ) )
    & ( ( ~ c0_1(a242)
        & ~ c2_1(a242)
        & ndr1_0
        & c1_1(a242) )
      | ~ hskp15 )
    & ( ! [X59] :
          ( ndr1_0
         => ( ~ c2_1(X59)
            | ~ c3_1(X59)
            | ~ c0_1(X59) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c0_1(X61)
            | ~ c2_1(X61)
            | c1_1(X61) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c1_1(X60)
            | ~ c2_1(X60)
            | ~ c3_1(X60) ) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( ~ c0_1(X17)
            | ~ c1_1(X17)
            | c3_1(X17) ) )
      | hskp14
      | ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | ~ c2_1(X16)
            | c3_1(X16) ) ) )
    & ( ! [X125] :
          ( ndr1_0
         => ( c0_1(X125)
            | ~ c1_1(X125)
            | ~ c3_1(X125) ) )
      | ! [X124] :
          ( ndr1_0
         => ( c2_1(X124)
            | ~ c3_1(X124)
            | c1_1(X124) ) )
      | hskp10 )
    & ( hskp1
      | ! [X63] :
          ( ndr1_0
         => ( c0_1(X63)
            | ~ c3_1(X63)
            | ~ c1_1(X63) ) )
      | ! [X62] :
          ( ndr1_0
         => ( c2_1(X62)
            | c3_1(X62)
            | ~ c1_1(X62) ) ) )
    & ( ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | ~ c2_1(X4)
            | c0_1(X4) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c3_1(X3)
            | c0_1(X3)
            | c2_1(X3) ) )
      | hskp9 )
    & ( ~ hskp7
      | ( c1_1(a223)
        & ~ c0_1(a223)
        & c2_1(a223)
        & ndr1_0 ) )
    & ( ! [X20] :
          ( ndr1_0
         => ( ~ c1_1(X20)
            | c0_1(X20)
            | c2_1(X20) ) )
      | hskp10
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | c0_1(X19)
            | ~ c1_1(X19) ) ) )
    & ( ! [X78] :
          ( ndr1_0
         => ( c3_1(X78)
            | c0_1(X78)
            | c2_1(X78) ) )
      | hskp0
      | hskp4 )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a220)
        & c1_1(a220)
        & ~ c3_1(a220) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( ~ c0_1(X56)
            | c1_1(X56)
            | c3_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( c3_1(X57)
            | c0_1(X57)
            | c2_1(X57) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c1_1(X55)
            | ~ c3_1(X55)
            | c0_1(X55) ) ) )
    & ( ( c3_1(a320)
        & ~ c0_1(a320)
        & c2_1(a320)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ! [X24] :
          ( ndr1_0
         => ( ~ c1_1(X24)
            | ~ c3_1(X24)
            | ~ c0_1(X24) ) )
      | hskp5
      | ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c1_1(X25)
            | ~ c2_1(X25) ) ) ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | ~ c0_1(X28)
                | ~ c3_1(X28) ) )
          | hskp28
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c3_1(X29)
                | c2_1(X29) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | c3_1(X69)
                | c2_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c0_1(X68)
                | ~ c3_1(X68) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | c3_1(X70)
                | ~ c1_1(X70) ) ) )
        & ( ( ndr1_0
            & c1_1(a234)
            & c0_1(a234)
            & c3_1(a234) )
          | ~ hskp26 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c2_1(X43)
                | ~ c3_1(X43)
                | ~ c0_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c3_1(X42)
                | ~ c0_1(X42)
                | c1_1(X42) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | c3_1(X44)
                | c1_1(X44) ) ) )
        & ( hskp6
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | c3_1(X37)
                | ~ c0_1(X37) ) )
          | hskp7 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | c3_1(X58)
                | c2_1(X58) ) )
          | hskp19
          | hskp21 )
        & ( hskp1
          | hskp19
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c1_1(X82)
                | ~ c0_1(X82) ) ) )
        & ( ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c1_1(X50)
                | ~ c2_1(X50) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | ~ c0_1(X52)
                | c3_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | c2_1(X51)
                | ~ c0_1(X51) ) ) )
        & ( hskp10
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | ~ c0_1(X81)
                | c1_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c0_1(X80)
                | c3_1(X80)
                | ~ c2_1(X80) ) ) )
        & ( ~ hskp28
          | ( c2_1(a282)
            & ndr1_0
            & c0_1(a282)
            & c1_1(a282) ) )
        & ( ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c0_1(X98)
                | ~ c2_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c0_1(X99)
                | ~ c1_1(X99)
                | ~ c2_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | ~ c2_1(X100)
                | ~ c3_1(X100) ) ) )
        & ( hskp13
          | hskp16
          | hskp12 )
        & ( ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c2_1(X97)
                | c1_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | c3_1(X96)
                | c1_1(X96) ) )
          | hskp1 )
        & ( ~ hskp20
          | ( ~ c3_1(a257)
            & c1_1(a257)
            & ndr1_0
            & c0_1(a257) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | ~ c0_1(X77)
                | c2_1(X77) ) )
          | hskp19
          | hskp18 )
        & ( hskp4
          | ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | c3_1(X90)
                | c0_1(X90) ) )
          | hskp3 )
        & ( ~ hskp29
          | ( c0_1(a296)
            & ndr1_0
            & c2_1(a296)
            & c3_1(a296) ) )
        & ( ! [X123] :
              ( ndr1_0
             => ( c3_1(X123)
                | ~ c1_1(X123)
                | ~ c0_1(X123) ) )
          | ! [X121] :
              ( ndr1_0
             => ( ~ c3_1(X121)
                | c1_1(X121)
                | c2_1(X121) ) )
          | ! [X122] :
              ( ndr1_0
             => ( c1_1(X122)
                | ~ c2_1(X122)
                | c0_1(X122) ) ) )
        & ( hskp0
          | hskp2
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | c0_1(X109)
                | c1_1(X109) ) ) )
        & ( hskp12
          | ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | c1_1(X64)
                | c2_1(X64) ) )
          | hskp17 )
        & ( hskp13
          | hskp3
          | ! [X47] :
              ( ndr1_0
             => ( c3_1(X47)
                | ~ c1_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp28
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | ~ c1_1(X75)
                | ~ c3_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c3_1(X76)
                | ~ c0_1(X76)
                | ~ c1_1(X76) ) ) )
        & ( hskp21
          | hskp12
          | ! [X117] :
              ( ndr1_0
             => ( ~ c2_1(X117)
                | c1_1(X117)
                | c3_1(X117) ) ) )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | ~ c2_1(X87)
                | ~ c3_1(X87) ) )
          | hskp24
          | hskp15 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | ~ c1_1(X106)
                | c0_1(X106) ) )
          | hskp12
          | ! [X105] :
              ( ndr1_0
             => ( ~ c1_1(X105)
                | c3_1(X105)
                | ~ c2_1(X105) ) ) )
        & ( hskp8
          | hskp1
          | ! [X101] :
              ( ndr1_0
             => ( c0_1(X101)
                | ~ c3_1(X101)
                | c1_1(X101) ) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & ~ c0_1(a215)
            & ~ c1_1(a215)
            & c2_1(a215) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( c2_1(X21)
                | c0_1(X21)
                | c3_1(X21) ) )
          | hskp6
          | hskp5 )
        & ( hskp0
          | hskp12
          | hskp1 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c3_1(X66)
                | ~ c1_1(X66)
                | c0_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | ~ c0_1(X67)
                | c3_1(X67) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c0_1(X65)
                | ~ c3_1(X65) ) ) )
        & ( hskp0
          | ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | c1_1(X91)
                | c0_1(X91) ) ) )
        & ( hskp4
          | hskp23
          | hskp20 )
        & ( ( ~ c3_1(a213)
            & ~ c1_1(a213)
            & c2_1(a213)
            & ndr1_0 )
          | ~ hskp0 )
        & ( ( ~ c2_1(a225)
            & c3_1(a225)
            & ndr1_0
            & ~ c0_1(a225) )
          | ~ hskp8 )
        & ( hskp6
          | hskp3
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | ~ c3_1(X111)
                | c0_1(X111) ) ) )
        & ( ( c1_1(a274)
            & ~ c3_1(a274)
            & ndr1_0
            & ~ c0_1(a274) )
          | ~ hskp23 )
        & ( hskp1
          | ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | c2_1(X33)
                | c1_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | c0_1(X32)
                | c2_1(X32) ) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & ~ c2_1(a226)
            & ~ c1_1(a226)
            & c0_1(a226) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | ~ c1_1(X38)
                | ~ c3_1(X38) ) )
          | hskp2
          | hskp27 )
        & ( hskp26
          | ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | ~ c2_1(X15)
                | ~ c1_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | c2_1(X14)
                | ~ c0_1(X14) ) ) )
        & ( hskp20
          | hskp1
          | hskp11 )
        & ( ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | ~ c3_1(X39)
                | ~ c2_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c1_1(X40)
                | c0_1(X40)
                | ~ c2_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | ~ c0_1(X41) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( c3_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) )
          | hskp2
          | hskp27 )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c2_1(X36)
                | c3_1(X36) ) )
          | hskp9
          | hskp26 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c1_1(X6)
                | c2_1(X6)
                | c3_1(X6) ) )
          | hskp8
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | ~ c1_1(X5)
                | c3_1(X5) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | ~ c0_1(X86)
                | c2_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c0_1(X85)
                | ~ c2_1(X85)
                | ~ c1_1(X85) ) )
          | hskp8 )
        & ( ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | c0_1(X18)
                | ~ c1_1(X18) ) )
          | hskp10
          | hskp17 )
        & ( ! [X126] :
              ( ndr1_0
             => ( ~ c3_1(X126)
                | c1_1(X126)
                | ~ c0_1(X126) ) )
          | hskp18
          | ! [X127] :
              ( ndr1_0
             => ( c3_1(X127)
                | ~ c2_1(X127)
                | ~ c0_1(X127) ) ) )
        & ( ( ~ c2_1(a271)
            & ~ c0_1(a271)
            & ~ c1_1(a271)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | ~ c3_1(X73)
                | ~ c2_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c0_1(X72)
                | c2_1(X72)
                | ~ c3_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c0_1(X71)
                | ~ c2_1(X71) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | c2_1(X34)
                | ~ c0_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c2_1(X35)
                | c3_1(X35)
                | ~ c0_1(X35) ) )
          | hskp5 )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c1_1(X102)
                | c2_1(X102)
                | c3_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | c0_1(X103)
                | ~ c2_1(X103) ) )
          | hskp19 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c2_1(X48)
                | ~ c0_1(X48)
                | c3_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c1_1(X49)
                | c0_1(X49)
                | c3_1(X49) ) )
          | hskp1 )
        & ( ( c3_1(a261)
            & c1_1(a261)
            & c2_1(a261)
            & ndr1_0 )
          | ~ hskp27 )
        & ( hskp7
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | ~ c3_1(X84)
                | ~ c2_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c0_1(X83)
                | c1_1(X83)
                | ~ c3_1(X83) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( c1_1(X13)
                | c0_1(X13)
                | c3_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | ~ c0_1(X12)
                | ~ c3_1(X12) ) )
          | hskp2 )
        & ( hskp27
          | ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | ~ c3_1(X104)
                | c2_1(X104) ) )
          | hskp3 )
        & ( hskp8
          | ! [X107] :
              ( ndr1_0
             => ( c1_1(X107)
                | ~ c0_1(X107)
                | c3_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c1_1(X108)
                | c0_1(X108)
                | c2_1(X108) ) ) )
        & ( ( ndr1_0
            & ~ c3_1(a217)
            & ~ c1_1(a217)
            & ~ c2_1(a217) )
          | ~ hskp4 )
        & ( ~ hskp21
          | ( c3_1(a259)
            & c0_1(a259)
            & ~ c2_1(a259)
            & ndr1_0 ) )
        & ( ~ hskp10
          | ( ndr1_0
            & ~ c0_1(a231)
            & c3_1(a231)
            & c1_1(a231) ) )
        & ( hskp9
          | hskp22
          | hskp18 )
        & ( hskp20
          | hskp10
          | hskp2 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c1_1(X8)
                | ~ c2_1(X8)
                | ~ c3_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | ~ c3_1(X9)
                | ~ c1_1(X9) ) )
          | hskp9 )
        & ( hskp5
          | ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | ~ c2_1(X88)
                | ~ c1_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c0_1(X89)
                | ~ c3_1(X89)
                | c2_1(X89) ) ) )
        & ( ~ hskp11
          | ( c0_1(a236)
            & ndr1_0
            & ~ c2_1(a236)
            & ~ c3_1(a236) ) )
        & ( ( c3_1(a239)
            & ~ c1_1(a239)
            & c2_1(a239)
            & ndr1_0 )
          | ~ hskp13 )
        & ( hskp16
          | hskp3 )
        & ( ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | ~ c0_1(X11)
                | c1_1(X11) ) )
          | hskp22
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | c2_1(X10)
                | ~ c0_1(X10) ) ) )
        & ( hskp17
          | hskp18
          | hskp27 )
        & ( ( ndr1_0
            & c1_1(a248)
            & ~ c2_1(a248)
            & c3_1(a248) )
          | ~ hskp17 )
        & ( ~ hskp24
          | ( ~ c3_1(a280)
            & ndr1_0
            & c1_1(a280)
            & ~ c2_1(a280) ) )
        & ( hskp7
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c1_1(X95)
                | c0_1(X95) ) )
          | hskp16 )
        & ( ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | ~ c3_1(X92)
                | c1_1(X92) ) )
          | hskp26
          | hskp23 )
        & ( hskp25
          | hskp19 )
        & ( hskp26
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | ~ c3_1(X23)
                | ~ c2_1(X23) ) )
          | hskp29 )
        & ( hskp26
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | c2_1(X54)
                | c0_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | ~ c1_1(X53)
                | c3_1(X53) ) ) )
        & ( ~ hskp1
          | ( c2_1(a214)
            & ~ c3_1(a214)
            & ~ c0_1(a214)
            & ndr1_0 ) )
        & ( ~ hskp3
          | ( c0_1(a216)
            & c1_1(a216)
            & ~ c2_1(a216)
            & ndr1_0 ) )
        & ( ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c1_1(X93)
                | c0_1(X93) ) )
          | hskp18
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | c2_1(X94)
                | ~ c3_1(X94) ) ) )
        & ( hskp20
          | ! [X22] :
              ( ndr1_0
             => ( c1_1(X22)
                | c3_1(X22)
                | c2_1(X22) ) )
          | hskp4 )
        & ( ( c0_1(a237)
            & ~ c3_1(a237)
            & c2_1(a237)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ! [X118] :
              ( ndr1_0
             => ( ~ c2_1(X118)
                | ~ c3_1(X118)
                | c0_1(X118) ) )
          | ! [X119] :
              ( ndr1_0
             => ( ~ c3_1(X119)
                | ~ c0_1(X119)
                | ~ c2_1(X119) ) )
          | ! [X120] :
              ( ndr1_0
             => ( c3_1(X120)
                | c1_1(X120)
                | ~ c2_1(X120) ) ) )
        & ( ( ~ c1_1(a245)
            & ndr1_0
            & ~ c3_1(a245)
            & c0_1(a245) )
          | ~ hskp16 )
        & ( hskp11
          | ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c3_1(X45)
                | ~ c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | ~ c0_1(X46)
                | c1_1(X46) ) ) )
        & ( ( ~ c1_1(a241)
            & c3_1(a241)
            & ndr1_0
            & ~ c0_1(a241) )
          | ~ hskp14 )
        & ( hskp15
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c0_1(X31)
                | ~ c2_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c2_1(X30)
                | c1_1(X30)
                | ~ c3_1(X30) ) ) )
        & ( hskp10
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c0_1(X7)
                | ~ c2_1(X7) ) )
          | hskp8 )
        & ( ! [X1] :
              ( ndr1_0
             => ( ~ c0_1(X1)
                | c1_1(X1)
                | c3_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) )
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c1_1(X2) ) ) )
        & ( hskp6
          | ! [X110] :
              ( ndr1_0
             => ( c0_1(X110)
                | ~ c2_1(X110)
                | c1_1(X110) ) )
          | hskp3 )
        & ( ~ hskp19
          | ( ndr1_0
            & ~ c1_1(a255)
            & ~ c0_1(a255)
            & ~ c3_1(a255) ) )
        & ( hskp22
          | ! [X115] :
              ( ndr1_0
             => ( ~ c1_1(X115)
                | ~ c0_1(X115)
                | ~ c2_1(X115) ) )
          | ! [X116] :
              ( ndr1_0
             => ( ~ c2_1(X116)
                | ~ c3_1(X116)
                | ~ c0_1(X116) ) ) )
        & ( ( ndr1_0
            & ~ c1_1(a252)
            & c2_1(a252)
            & c0_1(a252) )
          | ~ hskp18 )
        & ( ( c3_1(a218)
            & ~ c2_1(a218)
            & ndr1_0
            & ~ c1_1(a218) )
          | ~ hskp5 )
        & ( hskp5
          | ! [X26] :
              ( ndr1_0
             => ( ~ c0_1(X26)
                | c3_1(X26)
                | c1_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c1_1(X27)
                | c2_1(X27) ) ) )
        & ( ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | c2_1(X114)
                | ~ c3_1(X114) ) )
          | ! [X112] :
              ( ndr1_0
             => ( c3_1(X112)
                | ~ c2_1(X112)
                | c1_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( c2_1(X113)
                | c1_1(X113)
                | ~ c0_1(X113) ) ) )
        & ( hskp4
          | hskp16
          | ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | ~ c0_1(X79)
                | ~ c3_1(X79) ) ) )
        & ( ( ~ c0_1(a242)
            & ~ c2_1(a242)
            & ndr1_0
            & c1_1(a242) )
          | ~ hskp15 )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c3_1(X59)
                | ~ c0_1(X59) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c2_1(X61)
                | c1_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | ~ c2_1(X60)
                | ~ c3_1(X60) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c0_1(X17)
                | ~ c1_1(X17)
                | c3_1(X17) ) )
          | hskp14
          | ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | ~ c2_1(X16)
                | c3_1(X16) ) ) )
        & ( ! [X125] :
              ( ndr1_0
             => ( c0_1(X125)
                | ~ c1_1(X125)
                | ~ c3_1(X125) ) )
          | ! [X124] :
              ( ndr1_0
             => ( c2_1(X124)
                | ~ c3_1(X124)
                | c1_1(X124) ) )
          | hskp10 )
        & ( hskp1
          | ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | ~ c3_1(X63)
                | ~ c1_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c2_1(X62)
                | c3_1(X62)
                | ~ c1_1(X62) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c2_1(X4)
                | c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c3_1(X3)
                | c0_1(X3)
                | c2_1(X3) ) )
          | hskp9 )
        & ( ~ hskp7
          | ( c1_1(a223)
            & ~ c0_1(a223)
            & c2_1(a223)
            & ndr1_0 ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( ~ c1_1(X20)
                | c0_1(X20)
                | c2_1(X20) ) )
          | hskp10
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | c0_1(X19)
                | ~ c1_1(X19) ) ) )
        & ( ! [X78] :
              ( ndr1_0
             => ( c3_1(X78)
                | c0_1(X78)
                | c2_1(X78) ) )
          | hskp0
          | hskp4 )
        & ( ~ hskp6
          | ( ndr1_0
            & c2_1(a220)
            & c1_1(a220)
            & ~ c3_1(a220) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c0_1(X56)
                | c1_1(X56)
                | c3_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c3_1(X57)
                | c0_1(X57)
                | c2_1(X57) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c1_1(X55)
                | ~ c3_1(X55)
                | c0_1(X55) ) ) )
        & ( ( c3_1(a320)
            & ~ c0_1(a320)
            & c2_1(a320)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | ~ c3_1(X24)
                | ~ c0_1(X24) ) )
          | hskp5
          | ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c1_1(X25)
                | ~ c2_1(X25) ) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ! [X92] :
              ( ndr1_0
             => ( c3_1(X92)
                | ~ c2_1(X92)
                | ~ c1_1(X92) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | c3_1(X91)
                | ~ c0_1(X91) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | ~ c1_1(X93)
                | ~ c3_1(X93) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c3_1(X28)
                | c2_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | ~ c3_1(X29)
                | ~ c2_1(X29) ) )
          | hskp9 )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | c3_1(X77)
                | c2_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c3_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) )
          | hskp8 )
        & ( ( ndr1_0
            & ~ c1_1(a252)
            & c2_1(a252)
            & c0_1(a252) )
          | ~ hskp18 )
        & ( ( ~ c1_1(a241)
            & c3_1(a241)
            & ndr1_0
            & ~ c0_1(a241) )
          | ~ hskp14 )
        & ( hskp8
          | hskp10
          | ! [X126] :
              ( ndr1_0
             => ( ~ c0_1(X126)
                | ~ c3_1(X126)
                | ~ c2_1(X126) ) ) )
        & ( hskp9
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | c1_1(X65)
                | ~ c3_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | c0_1(X64)
                | ~ c3_1(X64) ) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & ~ c0_1(a231)
            & c3_1(a231)
            & c1_1(a231) ) )
        & ( hskp22
          | ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | ~ c1_1(X98)
                | ~ c0_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | ~ c2_1(X97)
                | c1_1(X97) ) ) )
        & ( ( ndr1_0
            & c1_1(a248)
            & ~ c2_1(a248)
            & c3_1(a248) )
          | ~ hskp17 )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c2_1(X4)
                | ~ c0_1(X4) ) )
          | hskp2
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c3_1(X3) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( c3_1(X57)
                | ~ c0_1(X57)
                | c2_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | ~ c2_1(X56)
                | c0_1(X56) ) )
          | hskp26 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | c0_1(X52)
                | ~ c2_1(X52) ) )
          | hskp14
          | ! [X53] :
              ( ndr1_0
             => ( ~ c0_1(X53)
                | c3_1(X53)
                | ~ c1_1(X53) ) ) )
        & ( hskp17
          | hskp10
          | ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | c0_1(X61)
                | ~ c2_1(X61) ) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & ~ c1_1(a255)
            & ~ c0_1(a255)
            & ~ c3_1(a255) ) )
        & ( hskp10
          | ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | ~ c1_1(X33)
                | ~ c2_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp5
          | hskp6
          | ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | c0_1(X30)
                | c2_1(X30) ) ) )
        & ( hskp20
          | hskp4
          | ! [X78] :
              ( ndr1_0
             => ( c3_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp29
          | hskp26
          | ! [X127] :
              ( ndr1_0
             => ( ~ c2_1(X127)
                | ~ c1_1(X127)
                | ~ c3_1(X127) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | ~ c0_1(X16)
                | ~ c3_1(X16) ) )
          | hskp5
          | ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | ~ c2_1(X15) ) ) )
        & ( ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | c3_1(X87)
                | c1_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | c2_1(X86)
                | ~ c3_1(X86) ) )
          | hskp5 )
        & ( hskp28
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | ~ c0_1(X111)
                | ~ c3_1(X111) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c1_1(X110)
                | c3_1(X110)
                | c2_1(X110) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( c1_1(X55)
                | ~ c3_1(X55)
                | c2_1(X55) ) )
          | hskp15
          | ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | ~ c2_1(X54)
                | ~ c1_1(X54) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( c2_1(X36)
                | ~ c3_1(X36)
                | c0_1(X36) ) )
          | hskp1
          | ! [X37] :
              ( ndr1_0
             => ( ~ c0_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) ) )
        & ( ~ hskp28
          | ( c2_1(a282)
            & ndr1_0
            & c0_1(a282)
            & c1_1(a282) ) )
        & ( ! [X106] :
              ( ndr1_0
             => ( ~ c0_1(X106)
                | c2_1(X106)
                | ~ c1_1(X106) ) )
          | hskp5
          | ! [X105] :
              ( ndr1_0
             => ( c3_1(X105)
                | c2_1(X105)
                | ~ c0_1(X105) ) ) )
        & ( hskp4
          | hskp23
          | hskp20 )
        & ( hskp25
          | hskp19 )
        & ( hskp26
          | hskp9
          | ! [X112] :
              ( ndr1_0
             => ( c3_1(X112)
                | ~ c1_1(X112)
                | c2_1(X112) ) ) )
        & ( hskp7
          | ! [X119] :
              ( ndr1_0
             => ( ~ c0_1(X119)
                | ~ c2_1(X119)
                | c3_1(X119) ) )
          | hskp6 )
        & ( hskp2
          | ! [X125] :
              ( ndr1_0
             => ( ~ c1_1(X125)
                | ~ c0_1(X125)
                | ~ c3_1(X125) ) )
          | hskp27 )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c0_1(X14)
                | ~ c2_1(X14) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c1_1(X12)
                | c0_1(X12)
                | ~ c2_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | c2_1(X13)
                | ~ c0_1(X13) ) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | c3_1(X88)
                | c1_1(X88) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | c2_1(X90)
                | ~ c0_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | c3_1(X89)
                | c1_1(X89) ) ) )
        & ( ( ~ c2_1(a225)
            & c3_1(a225)
            & ndr1_0
            & ~ c0_1(a225) )
          | ~ hskp8 )
        & ( ( c3_1(a239)
            & ~ c1_1(a239)
            & c2_1(a239)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c1_1(a245)
            & ndr1_0
            & ~ c3_1(a245)
            & c0_1(a245) )
          | ~ hskp16 )
        & ( hskp11
          | ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c3_1(X45)
                | ~ c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | ~ c0_1(X46)
                | c1_1(X46) ) ) )
        & ( hskp20
          | hskp1
          | hskp11 )
        & ( hskp13
          | hskp3
          | ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c3_1(X49)
                | ~ c1_1(X49) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c0_1(X2)
                | c3_1(X2)
                | c2_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c3_1(X1)
                | c1_1(X1) ) )
          | hskp1 )
        & ( ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | ~ c1_1(X115)
                | ~ c3_1(X115) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c1_1(X113)
                | c2_1(X113)
                | ~ c0_1(X113) ) )
          | ! [X114] :
              ( ndr1_0
             => ( ~ c0_1(X114)
                | ~ c1_1(X114)
                | c3_1(X114) ) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & ~ c0_1(a215)
            & ~ c1_1(a215)
            & c2_1(a215) ) )
        & ( ! [X39] :
              ( ndr1_0
             => ( c3_1(X39)
                | ~ c1_1(X39)
                | ~ c2_1(X39) ) )
          | hskp26
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c0_1(X38)
                | c2_1(X38) ) ) )
        & ( ( ~ c0_1(a242)
            & ~ c2_1(a242)
            & ndr1_0
            & c1_1(a242) )
          | ~ hskp15 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c1_1(X22)
                | c0_1(X22)
                | ~ c3_1(X22) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | ~ c0_1(X24)
                | c1_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c2_1(X23)
                | c0_1(X23)
                | c3_1(X23) ) ) )
        & ( ~ hskp24
          | ( ~ c3_1(a280)
            & ndr1_0
            & c1_1(a280)
            & ~ c2_1(a280) ) )
        & ( hskp19
          | hskp21
          | ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c3_1(X79)
                | c2_1(X79) ) ) )
        & ( hskp16
          | hskp3 )
        & ( ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | ~ c2_1(X18)
                | ~ c3_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | ~ c3_1(X19)
                | ~ c2_1(X19) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | c0_1(X17)
                | c1_1(X17) ) ) )
        & ( ( c3_1(a218)
            & ~ c2_1(a218)
            & ndr1_0
            & ~ c1_1(a218) )
          | ~ hskp5 )
        & ( hskp1
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | c3_1(X67)
                | c2_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | c0_1(X66)
                | ~ c1_1(X66) ) ) )
        & ( ( ~ c2_1(a271)
            & ~ c0_1(a271)
            & ~ c1_1(a271)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ~ hskp1
          | ( c2_1(a214)
            & ~ c3_1(a214)
            & ~ c0_1(a214)
            & ndr1_0 ) )
        & ( ( ndr1_0
            & ~ c3_1(a217)
            & ~ c1_1(a217)
            & ~ c2_1(a217) )
          | ~ hskp4 )
        & ( hskp17
          | ! [X85] :
              ( ndr1_0
             => ( c2_1(X85)
                | ~ c0_1(X85)
                | c1_1(X85) ) )
          | hskp12 )
        & ( ( ndr1_0
            & c1_1(a234)
            & c0_1(a234)
            & c3_1(a234) )
          | ~ hskp26 )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | ~ c0_1(X44)
                | ~ c3_1(X44) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c3_1(X42)
                | c0_1(X42)
                | ~ c1_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | ~ c0_1(X43)
                | c1_1(X43) ) ) )
        & ( ~ hskp7
          | ( c1_1(a223)
            & ~ c0_1(a223)
            & c2_1(a223)
            & ndr1_0 ) )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c0_1(X109)
                | ~ c3_1(X109) ) )
          | ! [X107] :
              ( ndr1_0
             => ( c2_1(X107)
                | ~ c1_1(X107)
                | c3_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( c3_1(X108)
                | ~ c1_1(X108)
                | ~ c0_1(X108) ) ) )
        & ( ( c3_1(a320)
            & ~ c0_1(a320)
            & c2_1(a320)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | c0_1(X6)
                | c1_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | ~ c3_1(X7)
                | c0_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | ~ c2_1(X8)
                | ~ c3_1(X8) ) ) )
        & ( hskp2
          | hskp27
          | ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c3_1(X80)
                | c2_1(X80) ) ) )
        & ( ! [X118] :
              ( ndr1_0
             => ( ~ c3_1(X118)
                | ~ c2_1(X118)
                | ~ c1_1(X118) ) )
          | ! [X117] :
              ( ndr1_0
             => ( ~ c1_1(X117)
                | c3_1(X117)
                | ~ c0_1(X117) ) )
          | hskp28 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c2_1(X84)
                | c1_1(X84)
                | ~ c0_1(X84) ) )
          | hskp18
          | hskp19 )
        & ( hskp13
          | hskp16
          | hskp12 )
        & ( ~ hskp3
          | ( c0_1(a216)
            & c1_1(a216)
            & ~ c2_1(a216)
            & ndr1_0 ) )
        & ( hskp0
          | hskp12
          | hskp1 )
        & ( hskp0
          | ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c3_1(X31)
                | c2_1(X31) ) )
          | hskp4 )
        & ( hskp4
          | ! [X102] :
              ( ndr1_0
             => ( c1_1(X102)
                | ~ c3_1(X102)
                | ~ c0_1(X102) ) )
          | hskp16 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c3_1(X50)
                | c0_1(X50)
                | ~ c2_1(X50) ) )
          | hskp10
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c0_1(X51)
                | c1_1(X51) ) ) )
        & ( ~ hskp21
          | ( c3_1(a259)
            & c0_1(a259)
            & ~ c2_1(a259)
            & ndr1_0 ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c2_1(a220)
            & c1_1(a220)
            & ~ c3_1(a220) ) )
        & ( hskp19
          | hskp1
          | ! [X103] :
              ( ndr1_0
             => ( c1_1(X103)
                | ~ c0_1(X103)
                | ~ c3_1(X103) ) ) )
        & ( hskp7
          | ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c1_1(X25)
                | ~ c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c2_1(X26)
                | ~ c0_1(X26) ) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c2_1(X58)
                | ~ c1_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | c2_1(X59)
                | ~ c0_1(X59) ) )
          | hskp8 )
        & ( hskp24
          | hskp15
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | c1_1(X104)
                | ~ c2_1(X104) ) ) )
        & ( hskp17
          | hskp18
          | hskp27 )
        & ( ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | ~ c2_1(X41)
                | c3_1(X41) ) )
          | hskp5
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c0_1(X40)
                | c2_1(X40) ) ) )
        & ( ~ hskp20
          | ( ~ c3_1(a257)
            & c1_1(a257)
            & ndr1_0
            & c0_1(a257) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & ~ c2_1(a226)
            & ~ c1_1(a226)
            & c0_1(a226) ) )
        & ( hskp3
          | ! [X5] :
              ( ndr1_0
             => ( c1_1(X5)
                | c0_1(X5)
                | c3_1(X5) ) )
          | hskp4 )
        & ( hskp20
          | hskp10
          | hskp2 )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | hskp0 )
        & ( ( c3_1(a261)
            & c1_1(a261)
            & c2_1(a261)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a213)
            & ~ c1_1(a213)
            & c2_1(a213)
            & ndr1_0 )
          | ~ hskp0 )
        & ( hskp26
          | hskp23
          | ! [X101] :
              ( ndr1_0
             => ( ~ c0_1(X101)
                | c1_1(X101)
                | ~ c3_1(X101) ) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | c0_1(X68)
                | ~ c3_1(X68) ) )
          | hskp18
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | c2_1(X69)
                | ~ c3_1(X69) ) ) )
        & ( hskp7
          | hskp16
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | c0_1(X60)
                | ~ c1_1(X60) ) ) )
        & ( ~ hskp29
          | ( c0_1(a296)
            & ndr1_0
            & c2_1(a296)
            & c3_1(a296) ) )
        & ( ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | c1_1(X94)
                | ~ c2_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c1_1(X95)
                | ~ c3_1(X95)
                | ~ c2_1(X95) ) )
          | hskp1 )
        & ( ! [X121] :
              ( ndr1_0
             => ( ~ c0_1(X121)
                | ~ c3_1(X121)
                | ~ c2_1(X121) ) )
          | ! [X120] :
              ( ndr1_0
             => ( ~ c0_1(X120)
                | ~ c2_1(X120)
                | ~ c1_1(X120) ) )
          | ! [X122] :
              ( ndr1_0
             => ( ~ c1_1(X122)
                | ~ c2_1(X122)
                | ~ c3_1(X122) ) ) )
        & ( hskp8
          | hskp1
          | ! [X27] :
              ( ndr1_0
             => ( c1_1(X27)
                | c0_1(X27)
                | ~ c3_1(X27) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | c3_1(X75)
                | ~ c1_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c0_1(X74)
                | ~ c2_1(X74)
                | ~ c3_1(X74) ) )
          | hskp19 )
        & ( hskp3
          | ! [X116] :
              ( ndr1_0
             => ( ~ c0_1(X116)
                | ~ c3_1(X116)
                | c2_1(X116) ) )
          | hskp27 )
        & ( ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c3_1(X48)
                | ~ c1_1(X48) ) )
          | hskp12
          | ! [X47] :
              ( ndr1_0
             => ( c3_1(X47)
                | ~ c1_1(X47)
                | c0_1(X47) ) ) )
        & ( ( c0_1(a237)
            & ~ c3_1(a237)
            & c2_1(a237)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | c3_1(X35)
                | c1_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | ~ c1_1(X34)
                | c2_1(X34) ) )
          | hskp8 )
        & ( hskp0
          | ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | ~ c2_1(X21)
                | c1_1(X21) ) )
          | hskp2 )
        & ( ~ hskp11
          | ( c0_1(a236)
            & ndr1_0
            & ~ c2_1(a236)
            & ~ c3_1(a236) ) )
        & ( hskp3
          | ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | ~ c2_1(X20)
                | c1_1(X20) ) )
          | hskp6 )
        & ( ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c1_1(X70)
                | c0_1(X70) ) )
          | hskp6
          | hskp3 )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | c3_1(X82)
                | c1_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | c2_1(X81)
                | ~ c0_1(X81) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | ~ c1_1(X83)
                | ~ c3_1(X83) ) ) )
        & ( ! [X123] :
              ( ndr1_0
             => ( ~ c1_1(X123)
                | ~ c0_1(X123)
                | ~ c2_1(X123) ) )
          | ! [X124] :
              ( ndr1_0
             => ( ~ c3_1(X124)
                | ~ c0_1(X124)
                | ~ c2_1(X124) ) )
          | hskp22 )
        & ( hskp9
          | hskp22
          | hskp18 )
        & ( hskp12
          | ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | c1_1(X96)
                | c3_1(X96) ) )
          | hskp21 )
        & ( ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | c0_1(X71)
                | ~ c3_1(X71) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | ~ c2_1(X73)
                | ~ c3_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c3_1(X72)
                | ~ c2_1(X72)
                | c1_1(X72) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | c1_1(X10)
                | c2_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | ~ c2_1(X9) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | ~ c1_1(X11)
                | ~ c0_1(X11) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | c1_1(X63)
                | c2_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | c0_1(X62)
                | ~ c1_1(X62) ) )
          | hskp10 )
        & ( hskp18
          | ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | ~ c3_1(X99)
                | ~ c0_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c2_1(X100)
                | c3_1(X100)
                | ~ c0_1(X100) ) ) )
        & ( ( c1_1(a274)
            & ~ c3_1(a274)
            & ndr1_0
            & ~ c0_1(a274) )
          | ~ hskp23 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( ! [X92] :
            ( ndr1_0
           => ( c3_1(X92)
              | ~ c2_1(X92)
              | ~ c1_1(X92) ) )
        | ! [X91] :
            ( ndr1_0
           => ( c1_1(X91)
              | c3_1(X91)
              | ~ c0_1(X91) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c2_1(X93)
              | ~ c1_1(X93)
              | ~ c3_1(X93) ) ) )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c3_1(X28)
              | c2_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | ~ c3_1(X29)
              | ~ c2_1(X29) ) )
        | hskp9 )
      & ( ! [X77] :
            ( ndr1_0
           => ( ~ c1_1(X77)
              | c3_1(X77)
              | c2_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( c3_1(X76)
              | c2_1(X76)
              | c1_1(X76) ) )
        | hskp8 )
      & ( ( ndr1_0
          & ~ c1_1(a252)
          & c2_1(a252)
          & c0_1(a252) )
        | ~ hskp18 )
      & ( ( ~ c1_1(a241)
          & c3_1(a241)
          & ndr1_0
          & ~ c0_1(a241) )
        | ~ hskp14 )
      & ( hskp8
        | hskp10
        | ! [X126] :
            ( ndr1_0
           => ( ~ c0_1(X126)
              | ~ c3_1(X126)
              | ~ c2_1(X126) ) ) )
      & ( hskp9
        | ! [X65] :
            ( ndr1_0
           => ( ~ c2_1(X65)
              | c1_1(X65)
              | ~ c3_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c1_1(X64)
              | c0_1(X64)
              | ~ c3_1(X64) ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ~ c0_1(a231)
          & c3_1(a231)
          & c1_1(a231) ) )
      & ( hskp22
        | ! [X98] :
            ( ndr1_0
           => ( c2_1(X98)
              | ~ c1_1(X98)
              | ~ c0_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c0_1(X97)
              | ~ c2_1(X97)
              | c1_1(X97) ) ) )
      & ( ( ndr1_0
          & c1_1(a248)
          & ~ c2_1(a248)
          & c3_1(a248) )
        | ~ hskp17 )
      & ( ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | ~ c2_1(X4)
              | ~ c0_1(X4) ) )
        | hskp2
        | ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c3_1(X3) ) ) )
      & ( ! [X57] :
            ( ndr1_0
           => ( c3_1(X57)
              | ~ c0_1(X57)
              | c2_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c1_1(X56)
              | ~ c2_1(X56)
              | c0_1(X56) ) )
        | hskp26 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c3_1(X52)
              | c0_1(X52)
              | ~ c2_1(X52) ) )
        | hskp14
        | ! [X53] :
            ( ndr1_0
           => ( ~ c0_1(X53)
              | c3_1(X53)
              | ~ c1_1(X53) ) ) )
      & ( hskp17
        | hskp10
        | ! [X61] :
            ( ndr1_0
           => ( ~ c1_1(X61)
              | c0_1(X61)
              | ~ c2_1(X61) ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ~ c1_1(a255)
          & ~ c0_1(a255)
          & ~ c3_1(a255) ) )
      & ( hskp10
        | ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | ~ c1_1(X33)
              | ~ c2_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp5
        | hskp6
        | ! [X30] :
            ( ndr1_0
           => ( c3_1(X30)
              | c0_1(X30)
              | c2_1(X30) ) ) )
      & ( hskp20
        | hskp4
        | ! [X78] :
            ( ndr1_0
           => ( c3_1(X78)
              | c2_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp29
        | hskp26
        | ! [X127] :
            ( ndr1_0
           => ( ~ c2_1(X127)
              | ~ c1_1(X127)
              | ~ c3_1(X127) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c1_1(X16)
              | ~ c0_1(X16)
              | ~ c3_1(X16) ) )
        | hskp5
        | ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | ~ c2_1(X15) ) ) )
      & ( ! [X87] :
            ( ndr1_0
           => ( ~ c0_1(X87)
              | c3_1(X87)
              | c1_1(X87) ) )
        | ! [X86] :
            ( ndr1_0
           => ( c1_1(X86)
              | c2_1(X86)
              | ~ c3_1(X86) ) )
        | hskp5 )
      & ( hskp28
        | ! [X111] :
            ( ndr1_0
           => ( ~ c1_1(X111)
              | ~ c0_1(X111)
              | ~ c3_1(X111) ) )
        | ! [X110] :
            ( ndr1_0
           => ( ~ c1_1(X110)
              | c3_1(X110)
              | c2_1(X110) ) ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( c1_1(X55)
              | ~ c3_1(X55)
              | c2_1(X55) ) )
        | hskp15
        | ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | ~ c2_1(X54)
              | ~ c1_1(X54) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( c2_1(X36)
              | ~ c3_1(X36)
              | c0_1(X36) ) )
        | hskp1
        | ! [X37] :
            ( ndr1_0
           => ( ~ c0_1(X37)
              | c2_1(X37)
              | c1_1(X37) ) ) )
      & ( ~ hskp28
        | ( c2_1(a282)
          & ndr1_0
          & c0_1(a282)
          & c1_1(a282) ) )
      & ( ! [X106] :
            ( ndr1_0
           => ( ~ c0_1(X106)
              | c2_1(X106)
              | ~ c1_1(X106) ) )
        | hskp5
        | ! [X105] :
            ( ndr1_0
           => ( c3_1(X105)
              | c2_1(X105)
              | ~ c0_1(X105) ) ) )
      & ( hskp4
        | hskp23
        | hskp20 )
      & ( hskp25
        | hskp19 )
      & ( hskp26
        | hskp9
        | ! [X112] :
            ( ndr1_0
           => ( c3_1(X112)
              | ~ c1_1(X112)
              | c2_1(X112) ) ) )
      & ( hskp7
        | ! [X119] :
            ( ndr1_0
           => ( ~ c0_1(X119)
              | ~ c2_1(X119)
              | c3_1(X119) ) )
        | hskp6 )
      & ( hskp2
        | ! [X125] :
            ( ndr1_0
           => ( ~ c1_1(X125)
              | ~ c0_1(X125)
              | ~ c3_1(X125) ) )
        | hskp27 )
      & ( ! [X14] :
            ( ndr1_0
           => ( ~ c3_1(X14)
              | ~ c0_1(X14)
              | ~ c2_1(X14) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c1_1(X12)
              | c0_1(X12)
              | ~ c2_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | c2_1(X13)
              | ~ c0_1(X13) ) ) )
      & ( ! [X88] :
            ( ndr1_0
           => ( ~ c0_1(X88)
              | c3_1(X88)
              | c1_1(X88) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | c2_1(X90)
              | ~ c0_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | c3_1(X89)
              | c1_1(X89) ) ) )
      & ( ( ~ c2_1(a225)
          & c3_1(a225)
          & ndr1_0
          & ~ c0_1(a225) )
        | ~ hskp8 )
      & ( ( c3_1(a239)
          & ~ c1_1(a239)
          & c2_1(a239)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c1_1(a245)
          & ndr1_0
          & ~ c3_1(a245)
          & c0_1(a245) )
        | ~ hskp16 )
      & ( hskp11
        | ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | c3_1(X45)
              | ~ c1_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c2_1(X46)
              | ~ c0_1(X46)
              | c1_1(X46) ) ) )
      & ( hskp20
        | hskp1
        | hskp11 )
      & ( hskp13
        | hskp3
        | ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | c3_1(X49)
              | ~ c1_1(X49) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c0_1(X2)
              | c3_1(X2)
              | c2_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c3_1(X1)
              | c1_1(X1) ) )
        | hskp1 )
      & ( ! [X115] :
            ( ndr1_0
           => ( ~ c2_1(X115)
              | ~ c1_1(X115)
              | ~ c3_1(X115) ) )
        | ! [X113] :
            ( ndr1_0
           => ( ~ c1_1(X113)
              | c2_1(X113)
              | ~ c0_1(X113) ) )
        | ! [X114] :
            ( ndr1_0
           => ( ~ c0_1(X114)
              | ~ c1_1(X114)
              | c3_1(X114) ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ~ c0_1(a215)
          & ~ c1_1(a215)
          & c2_1(a215) ) )
      & ( ! [X39] :
            ( ndr1_0
           => ( c3_1(X39)
              | ~ c1_1(X39)
              | ~ c2_1(X39) ) )
        | hskp26
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | c0_1(X38)
              | c2_1(X38) ) ) )
      & ( ( ~ c0_1(a242)
          & ~ c2_1(a242)
          & ndr1_0
          & c1_1(a242) )
        | ~ hskp15 )
      & ( ! [X22] :
            ( ndr1_0
           => ( c1_1(X22)
              | c0_1(X22)
              | ~ c3_1(X22) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c3_1(X24)
              | ~ c0_1(X24)
              | c1_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c2_1(X23)
              | c0_1(X23)
              | c3_1(X23) ) ) )
      & ( ~ hskp24
        | ( ~ c3_1(a280)
          & ndr1_0
          & c1_1(a280)
          & ~ c2_1(a280) ) )
      & ( hskp19
        | hskp21
        | ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | c3_1(X79)
              | c2_1(X79) ) ) )
      & ( hskp16
        | hskp3 )
      & ( ! [X18] :
            ( ndr1_0
           => ( ~ c0_1(X18)
              | ~ c2_1(X18)
              | ~ c3_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c1_1(X19)
              | ~ c3_1(X19)
              | ~ c2_1(X19) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | c0_1(X17)
              | c1_1(X17) ) ) )
      & ( ( c3_1(a218)
          & ~ c2_1(a218)
          & ndr1_0
          & ~ c1_1(a218) )
        | ~ hskp5 )
      & ( hskp1
        | ! [X67] :
            ( ndr1_0
           => ( ~ c1_1(X67)
              | c3_1(X67)
              | c2_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | c0_1(X66)
              | ~ c1_1(X66) ) ) )
      & ( ( ~ c2_1(a271)
          & ~ c0_1(a271)
          & ~ c1_1(a271)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ~ hskp1
        | ( c2_1(a214)
          & ~ c3_1(a214)
          & ~ c0_1(a214)
          & ndr1_0 ) )
      & ( ( ndr1_0
          & ~ c3_1(a217)
          & ~ c1_1(a217)
          & ~ c2_1(a217) )
        | ~ hskp4 )
      & ( hskp17
        | ! [X85] :
            ( ndr1_0
           => ( c2_1(X85)
              | ~ c0_1(X85)
              | c1_1(X85) ) )
        | hskp12 )
      & ( ( ndr1_0
          & c1_1(a234)
          & c0_1(a234)
          & c3_1(a234) )
        | ~ hskp26 )
      & ( ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | ~ c0_1(X44)
              | ~ c3_1(X44) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c3_1(X42)
              | c0_1(X42)
              | ~ c1_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c3_1(X43)
              | ~ c0_1(X43)
              | c1_1(X43) ) ) )
      & ( ~ hskp7
        | ( c1_1(a223)
          & ~ c0_1(a223)
          & c2_1(a223)
          & ndr1_0 ) )
      & ( ! [X109] :
            ( ndr1_0
           => ( ~ c2_1(X109)
              | ~ c0_1(X109)
              | ~ c3_1(X109) ) )
        | ! [X107] :
            ( ndr1_0
           => ( c2_1(X107)
              | ~ c1_1(X107)
              | c3_1(X107) ) )
        | ! [X108] :
            ( ndr1_0
           => ( c3_1(X108)
              | ~ c1_1(X108)
              | ~ c0_1(X108) ) ) )
      & ( ( c3_1(a320)
          & ~ c0_1(a320)
          & c2_1(a320)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ! [X6] :
            ( ndr1_0
           => ( ~ c2_1(X6)
              | c0_1(X6)
              | c1_1(X6) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c2_1(X7)
              | ~ c3_1(X7)
              | c0_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c1_1(X8)
              | ~ c2_1(X8)
              | ~ c3_1(X8) ) ) )
      & ( hskp2
        | hskp27
        | ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | c3_1(X80)
              | c2_1(X80) ) ) )
      & ( ! [X118] :
            ( ndr1_0
           => ( ~ c3_1(X118)
              | ~ c2_1(X118)
              | ~ c1_1(X118) ) )
        | ! [X117] :
            ( ndr1_0
           => ( ~ c1_1(X117)
              | c3_1(X117)
              | ~ c0_1(X117) ) )
        | hskp28 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c2_1(X84)
              | c1_1(X84)
              | ~ c0_1(X84) ) )
        | hskp18
        | hskp19 )
      & ( hskp13
        | hskp16
        | hskp12 )
      & ( ~ hskp3
        | ( c0_1(a216)
          & c1_1(a216)
          & ~ c2_1(a216)
          & ndr1_0 ) )
      & ( hskp0
        | hskp12
        | hskp1 )
      & ( hskp0
        | ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c3_1(X31)
              | c2_1(X31) ) )
        | hskp4 )
      & ( hskp4
        | ! [X102] :
            ( ndr1_0
           => ( c1_1(X102)
              | ~ c3_1(X102)
              | ~ c0_1(X102) ) )
        | hskp16 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c3_1(X50)
              | c0_1(X50)
              | ~ c2_1(X50) ) )
        | hskp10
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | ~ c0_1(X51)
              | c1_1(X51) ) ) )
      & ( ~ hskp21
        | ( c3_1(a259)
          & c0_1(a259)
          & ~ c2_1(a259)
          & ndr1_0 ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c2_1(a220)
          & c1_1(a220)
          & ~ c3_1(a220) ) )
      & ( hskp19
        | hskp1
        | ! [X103] :
            ( ndr1_0
           => ( c1_1(X103)
              | ~ c0_1(X103)
              | ~ c3_1(X103) ) ) )
      & ( hskp7
        | ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c1_1(X25)
              | ~ c3_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | ~ c2_1(X26)
              | ~ c0_1(X26) ) ) )
      & ( ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | ~ c2_1(X58)
              | ~ c1_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c1_1(X59)
              | c2_1(X59)
              | ~ c0_1(X59) ) )
        | hskp8 )
      & ( hskp24
        | hskp15
        | ! [X104] :
            ( ndr1_0
           => ( ~ c3_1(X104)
              | c1_1(X104)
              | ~ c2_1(X104) ) ) )
      & ( hskp17
        | hskp18
        | hskp27 )
      & ( ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | ~ c2_1(X41)
              | c3_1(X41) ) )
        | hskp5
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | c0_1(X40)
              | c2_1(X40) ) ) )
      & ( ~ hskp20
        | ( ~ c3_1(a257)
          & c1_1(a257)
          & ndr1_0
          & c0_1(a257) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ c2_1(a226)
          & ~ c1_1(a226)
          & c0_1(a226) ) )
      & ( hskp3
        | ! [X5] :
            ( ndr1_0
           => ( c1_1(X5)
              | c0_1(X5)
              | c3_1(X5) ) )
        | hskp4 )
      & ( hskp20
        | hskp10
        | hskp2 )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | hskp0 )
      & ( ( c3_1(a261)
          & c1_1(a261)
          & c2_1(a261)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a213)
          & ~ c1_1(a213)
          & c2_1(a213)
          & ndr1_0 )
        | ~ hskp0 )
      & ( hskp26
        | hskp23
        | ! [X101] :
            ( ndr1_0
           => ( ~ c0_1(X101)
              | c1_1(X101)
              | ~ c3_1(X101) ) ) )
      & ( ! [X68] :
            ( ndr1_0
           => ( ~ c1_1(X68)
              | c0_1(X68)
              | ~ c3_1(X68) ) )
        | hskp18
        | ! [X69] :
            ( ndr1_0
           => ( ~ c1_1(X69)
              | c2_1(X69)
              | ~ c3_1(X69) ) ) )
      & ( hskp7
        | hskp16
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | c0_1(X60)
              | ~ c1_1(X60) ) ) )
      & ( ~ hskp29
        | ( c0_1(a296)
          & ndr1_0
          & c2_1(a296)
          & c3_1(a296) ) )
      & ( ! [X94] :
            ( ndr1_0
           => ( c3_1(X94)
              | c1_1(X94)
              | ~ c2_1(X94) ) )
        | ! [X95] :
            ( ndr1_0
           => ( c1_1(X95)
              | ~ c3_1(X95)
              | ~ c2_1(X95) ) )
        | hskp1 )
      & ( ! [X121] :
            ( ndr1_0
           => ( ~ c0_1(X121)
              | ~ c3_1(X121)
              | ~ c2_1(X121) ) )
        | ! [X120] :
            ( ndr1_0
           => ( ~ c0_1(X120)
              | ~ c2_1(X120)
              | ~ c1_1(X120) ) )
        | ! [X122] :
            ( ndr1_0
           => ( ~ c1_1(X122)
              | ~ c2_1(X122)
              | ~ c3_1(X122) ) ) )
      & ( hskp8
        | hskp1
        | ! [X27] :
            ( ndr1_0
           => ( c1_1(X27)
              | c0_1(X27)
              | ~ c3_1(X27) ) ) )
      & ( ! [X75] :
            ( ndr1_0
           => ( c2_1(X75)
              | c3_1(X75)
              | ~ c1_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c0_1(X74)
              | ~ c2_1(X74)
              | ~ c3_1(X74) ) )
        | hskp19 )
      & ( hskp3
        | ! [X116] :
            ( ndr1_0
           => ( ~ c0_1(X116)
              | ~ c3_1(X116)
              | c2_1(X116) ) )
        | hskp27 )
      & ( ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | c3_1(X48)
              | ~ c1_1(X48) ) )
        | hskp12
        | ! [X47] :
            ( ndr1_0
           => ( c3_1(X47)
              | ~ c1_1(X47)
              | c0_1(X47) ) ) )
      & ( ( c0_1(a237)
          & ~ c3_1(a237)
          & c2_1(a237)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ! [X35] :
            ( ndr1_0
           => ( ~ c0_1(X35)
              | c3_1(X35)
              | c1_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | ~ c1_1(X34)
              | c2_1(X34) ) )
        | hskp8 )
      & ( hskp0
        | ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | ~ c2_1(X21)
              | c1_1(X21) ) )
        | hskp2 )
      & ( ~ hskp11
        | ( c0_1(a236)
          & ndr1_0
          & ~ c2_1(a236)
          & ~ c3_1(a236) ) )
      & ( hskp3
        | ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | ~ c2_1(X20)
              | c1_1(X20) ) )
        | hskp6 )
      & ( ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | ~ c1_1(X70)
              | c0_1(X70) ) )
        | hskp6
        | hskp3 )
      & ( ! [X82] :
            ( ndr1_0
           => ( ~ c2_1(X82)
              | c3_1(X82)
              | c1_1(X82) ) )
        | ! [X81] :
            ( ndr1_0
           => ( c1_1(X81)
              | c2_1(X81)
              | ~ c0_1(X81) ) )
        | ! [X83] :
            ( ndr1_0
           => ( c2_1(X83)
              | ~ c1_1(X83)
              | ~ c3_1(X83) ) ) )
      & ( ! [X123] :
            ( ndr1_0
           => ( ~ c1_1(X123)
              | ~ c0_1(X123)
              | ~ c2_1(X123) ) )
        | ! [X124] :
            ( ndr1_0
           => ( ~ c3_1(X124)
              | ~ c0_1(X124)
              | ~ c2_1(X124) ) )
        | hskp22 )
      & ( hskp9
        | hskp22
        | hskp18 )
      & ( hskp12
        | ! [X96] :
            ( ndr1_0
           => ( ~ c2_1(X96)
              | c1_1(X96)
              | c3_1(X96) ) )
        | hskp21 )
      & ( ! [X71] :
            ( ndr1_0
           => ( ~ c2_1(X71)
              | c0_1(X71)
              | ~ c3_1(X71) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c0_1(X73)
              | ~ c2_1(X73)
              | ~ c3_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c3_1(X72)
              | ~ c2_1(X72)
              | c1_1(X72) ) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | c1_1(X10)
              | c2_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | ~ c2_1(X9) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | ~ c1_1(X11)
              | ~ c0_1(X11) ) ) )
      & ( ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | c1_1(X63)
              | c2_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | c0_1(X62)
              | ~ c1_1(X62) ) )
        | hskp10 )
      & ( hskp18
        | ! [X99] :
            ( ndr1_0
           => ( c1_1(X99)
              | ~ c3_1(X99)
              | ~ c0_1(X99) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c2_1(X100)
              | c3_1(X100)
              | ~ c0_1(X100) ) ) )
      & ( ( c1_1(a274)
          & ~ c3_1(a274)
          & ndr1_0
          & ~ c0_1(a274) )
        | ~ hskp23 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f1024,plain,
    ( spl0_152
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f174,f559,f1021]) ).

fof(f559,plain,
    ( spl0_69
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f174,plain,
    ( ~ hskp26
    | c1_1(a234) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1019,plain,
    ( spl0_53
    | spl0_120
    | ~ spl0_3
    | spl0_29 ),
    inference(avatar_split_clause,[],[f208,f372,f262,f833,f481]) ).

fof(f481,plain,
    ( spl0_53
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f262,plain,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f208,plain,
    ! [X40,X39] :
      ( ~ c0_1(X39)
      | ~ ndr1_0
      | c0_1(X40)
      | c3_1(X39)
      | ~ c1_1(X39)
      | hskp14
      | c3_1(X40)
      | ~ c2_1(X40) ),
    inference(duplicate_literal_removal,[],[f155]) ).

fof(f155,plain,
    ! [X40,X39] :
      ( ~ c0_1(X39)
      | c3_1(X40)
      | ~ ndr1_0
      | ~ c2_1(X40)
      | c0_1(X40)
      | hskp14
      | c3_1(X39)
      | ~ ndr1_0
      | ~ c1_1(X39) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1018,plain,
    ( ~ spl0_151
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f20,f364,f1015]) ).

fof(f364,plain,
    ( spl0_27
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f20,plain,
    ( ~ hskp12
    | ~ c3_1(a237) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1013,plain,
    ( ~ spl0_11
    | spl0_150 ),
    inference(avatar_split_clause,[],[f68,f1010,f297]) ).

fof(f297,plain,
    ( spl0_11
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f68,plain,
    ( c2_1(a252)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1008,plain,
    ( spl0_149
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f126,f312,f1005]) ).

fof(f312,plain,
    ( spl0_15
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f126,plain,
    ( ~ hskp2
    | c2_1(a215) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1003,plain,
    ( ~ spl0_62
    | spl0_148 ),
    inference(avatar_split_clause,[],[f119,f1000,f522]) ).

fof(f522,plain,
    ( spl0_62
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f119,plain,
    ( c2_1(a239)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f998,plain,
    ( spl0_21
    | spl0_18
    | spl0_39
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f209,f262,f415,f323,f336]) ).

fof(f336,plain,
    ( spl0_21
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f209,plain,
    ! [X34,X35] :
      ( ~ ndr1_0
      | ~ c0_1(X34)
      | ~ c1_1(X35)
      | ~ c2_1(X34)
      | c1_1(X34)
      | c0_1(X35)
      | hskp11
      | c3_1(X35) ),
    inference(duplicate_literal_removal,[],[f157]) ).

fof(f157,plain,
    ! [X34,X35] :
      ( ~ c2_1(X34)
      | ~ c1_1(X35)
      | hskp11
      | ~ c0_1(X34)
      | ~ ndr1_0
      | c1_1(X34)
      | c3_1(X35)
      | ~ ndr1_0
      | c0_1(X35) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f997,plain,
    ( ~ spl0_69
    | spl0_147 ),
    inference(avatar_split_clause,[],[f173,f994,f559]) ).

fof(f173,plain,
    ( c0_1(a234)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f992,plain,
    ( spl0_4
    | spl0_60
    | ~ spl0_3
    | spl0_91 ),
    inference(avatar_split_clause,[],[f210,f669,f262,f514,f266]) ).

fof(f266,plain,
    ( spl0_4
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f210,plain,
    ! [X96,X97] :
      ( c1_1(X97)
      | ~ c2_1(X97)
      | ~ ndr1_0
      | ~ c1_1(X96)
      | ~ c3_1(X97)
      | ~ c3_1(X96)
      | hskp9
      | c0_1(X96) ),
    inference(duplicate_literal_removal,[],[f54]) ).

fof(f54,plain,
    ! [X96,X97] :
      ( hskp9
      | ~ c3_1(X96)
      | ~ c2_1(X97)
      | ~ c3_1(X97)
      | ~ ndr1_0
      | c1_1(X97)
      | ~ ndr1_0
      | ~ c1_1(X96)
      | c0_1(X96) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f991,plain,
    ( spl0_146
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f67,f297,f988]) ).

fof(f67,plain,
    ( ~ hskp18
    | c0_1(a252) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f986,plain,
    ( spl0_69
    | spl0_4
    | ~ spl0_3
    | spl0_28 ),
    inference(avatar_split_clause,[],[f66,f369,f262,f266,f559]) ).

fof(f66,plain,
    ! [X84] :
      ( c2_1(X84)
      | ~ ndr1_0
      | hskp9
      | hskp26
      | ~ c1_1(X84)
      | c3_1(X84) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f985,plain,
    ( ~ spl0_2
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f163,f982,f257]) ).

fof(f257,plain,
    ( spl0_2
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f163,plain,
    ( ~ c0_1(a255)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f980,plain,
    ( ~ spl0_3
    | spl0_67
    | spl0_83
    | spl0_69 ),
    inference(avatar_split_clause,[],[f211,f559,f628,f548,f262]) ).

fof(f211,plain,
    ! [X44,X45] :
      ( hskp26
      | ~ c2_1(X45)
      | c2_1(X44)
      | ~ ndr1_0
      | c0_1(X44)
      | ~ c1_1(X45)
      | ~ c3_1(X44)
      | c3_1(X45) ),
    inference(duplicate_literal_removal,[],[f149]) ).

fof(f149,plain,
    ! [X44,X45] :
      ( ~ ndr1_0
      | hskp26
      | c3_1(X45)
      | c2_1(X44)
      | c0_1(X44)
      | ~ c3_1(X44)
      | ~ c1_1(X45)
      | ~ ndr1_0
      | ~ c2_1(X45) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f979,plain,
    ( ~ spl0_37
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f107,f976,f408]) ).

fof(f408,plain,
    ( spl0_37
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f107,plain,
    ( ~ c2_1(a271)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f974,plain,
    ( ~ spl0_15
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f127,f971,f312]) ).

fof(f127,plain,
    ( ~ c1_1(a215)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f969,plain,
    ( ~ spl0_142
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f14,f336,f966]) ).

fof(f14,plain,
    ( ~ hskp11
    | ~ c3_1(a236) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f964,plain,
    ( spl0_20
    | spl0_15
    | spl0_24 ),
    inference(avatar_split_clause,[],[f38,f349,f312,f331]) ).

fof(f331,plain,
    ( spl0_20
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f349,plain,
    ( spl0_24
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f38,plain,
    ( hskp10
    | hskp2
    | hskp20 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f963,plain,
    ( spl0_141
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f141,f481,f960]) ).

fof(f141,plain,
    ( ~ hskp14
    | c3_1(a241) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f958,plain,
    ( ~ spl0_8
    | spl0_140 ),
    inference(avatar_split_clause,[],[f125,f955,f284]) ).

fof(f284,plain,
    ( spl0_8
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f125,plain,
    ( c0_1(a216)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f953,plain,
    ( ~ spl0_3
    | spl0_45
    | spl0_60
    | spl0_8 ),
    inference(avatar_split_clause,[],[f108,f284,f514,f443,f262]) ).

fof(f443,plain,
    ( spl0_45
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f108,plain,
    ! [X73] :
      ( hskp3
      | ~ c3_1(X73)
      | c0_1(X73)
      | hskp6
      | ~ c1_1(X73)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f950,plain,
    ( spl0_41
    | ~ spl0_3
    | spl0_8
    | spl0_61 ),
    inference(avatar_split_clause,[],[f41,f518,f284,f262,f423]) ).

fof(f423,plain,
    ( spl0_41
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f41,plain,
    ! [X111] :
      ( ~ c3_1(X111)
      | hskp3
      | c2_1(X111)
      | ~ c0_1(X111)
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f944,plain,
    ( ~ spl0_8
    | spl0_138 ),
    inference(avatar_split_clause,[],[f124,f941,f284]) ).

fof(f124,plain,
    ( c1_1(a216)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f934,plain,
    ( spl0_35
    | ~ spl0_3
    | spl0_136 ),
    inference(avatar_split_clause,[],[f161,f932,f262,f399]) ).

fof(f399,plain,
    ( spl0_35
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f161,plain,
    ! [X28] :
      ( c1_1(X28)
      | ~ ndr1_0
      | c2_1(X28)
      | c0_1(X28)
      | hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f930,plain,
    ( ~ spl0_3
    | spl0_69
    | spl0_86
    | spl0_115 ),
    inference(avatar_split_clause,[],[f213,f803,f644,f559,f262]) ).

fof(f213,plain,
    ! [X52,X53] :
      ( c0_1(X53)
      | c2_1(X52)
      | hskp26
      | c3_1(X52)
      | ~ c0_1(X52)
      | ~ c2_1(X53)
      | ~ ndr1_0
      | ~ c1_1(X53) ),
    inference(duplicate_literal_removal,[],[f131]) ).

fof(f131,plain,
    ! [X52,X53] :
      ( c3_1(X52)
      | ~ c0_1(X52)
      | c2_1(X52)
      | c0_1(X53)
      | ~ c1_1(X53)
      | ~ c2_1(X53)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f928,plain,
    ( spl0_105
    | ~ spl0_3
    | spl0_91
    | spl0_74 ),
    inference(avatar_split_clause,[],[f196,f585,f669,f262,f744]) ).

fof(f744,plain,
    ( spl0_105
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f585,plain,
    ( spl0_74
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f196,plain,
    ! [X11] :
      ( hskp24
      | ~ c2_1(X11)
      | c1_1(X11)
      | ~ c3_1(X11)
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f927,plain,
    ( spl0_3
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f185,f394,f262]) ).

fof(f394,plain,
    ( spl0_34
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f185,plain,
    ( ~ hskp25
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f925,plain,
    ( ~ spl0_3
    | spl0_28
    | spl0_5
    | spl0_93 ),
    inference(avatar_split_clause,[],[f215,f679,f271,f369,f262]) ).

fof(f215,plain,
    ! [X65,X66] :
      ( ~ c3_1(X65)
      | hskp28
      | ~ c1_1(X66)
      | ~ c0_1(X65)
      | ~ ndr1_0
      | c3_1(X66)
      | ~ c1_1(X65)
      | c2_1(X66) ),
    inference(duplicate_literal_removal,[],[f112]) ).

fof(f112,plain,
    ! [X65,X66] :
      ( ~ ndr1_0
      | hskp28
      | ~ c3_1(X65)
      | ~ c0_1(X65)
      | c2_1(X66)
      | ~ c1_1(X65)
      | ~ ndr1_0
      | ~ c1_1(X66)
      | c3_1(X66) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f923,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_41
    | spl0_93 ),
    inference(avatar_split_clause,[],[f79,f679,f423,f312,f262]) ).

fof(f79,plain,
    ! [X83] :
      ( ~ c3_1(X83)
      | hskp27
      | hskp2
      | ~ c0_1(X83)
      | ~ ndr1_0
      | ~ c1_1(X83) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f922,plain,
    ( spl0_135
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f190,f744,f919]) ).

fof(f190,plain,
    ( ~ hskp15
    | c1_1(a242) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f917,plain,
    ( ~ spl0_40
    | spl0_134 ),
    inference(avatar_split_clause,[],[f31,f914,f419]) ).

fof(f419,plain,
    ( spl0_40
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f31,plain,
    ( c1_1(a248)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f912,plain,
    ( ~ spl0_74
    | spl0_133 ),
    inference(avatar_split_clause,[],[f72,f909,f585]) ).

fof(f72,plain,
    ( c1_1(a280)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f907,plain,
    ( spl0_70
    | spl0_29
    | ~ spl0_3
    | spl0_38 ),
    inference(avatar_split_clause,[],[f216,f412,f262,f372,f563]) ).

fof(f216,plain,
    ! [X58,X59,X60] :
      ( ~ c1_1(X60)
      | ~ ndr1_0
      | ~ c0_1(X60)
      | ~ c1_1(X59)
      | ~ c0_1(X59)
      | c2_1(X60)
      | ~ c3_1(X58)
      | c3_1(X59)
      | ~ c1_1(X58)
      | ~ c2_1(X58) ),
    inference(duplicate_literal_removal,[],[f115]) ).

fof(f115,plain,
    ! [X58,X59,X60] :
      ( ~ c0_1(X60)
      | ~ c1_1(X60)
      | c3_1(X59)
      | ~ c1_1(X58)
      | ~ ndr1_0
      | ~ c1_1(X59)
      | ~ ndr1_0
      | ~ c2_1(X58)
      | ~ c3_1(X58)
      | c2_1(X60)
      | ~ ndr1_0
      | ~ c0_1(X59) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f906,plain,
    ( ~ spl0_37
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f106,f903,f408]) ).

fof(f106,plain,
    ( ~ c0_1(a271)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f901,plain,
    ( spl0_2
    | spl0_34 ),
    inference(avatar_split_clause,[],[f117,f394,f257]) ).

fof(f117,plain,
    ( hskp25
    | hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f900,plain,
    ( ~ spl0_131
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f154,f456,f897]) ).

fof(f456,plain,
    ( spl0_48
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f154,plain,
    ( ~ hskp8
    | ~ c2_1(a225) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f888,plain,
    ( ~ spl0_4
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f101,f885,f266]) ).

fof(f101,plain,
    ( ~ c1_1(a226)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f883,plain,
    ( spl0_128
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f145,f399,f880]) ).

fof(f145,plain,
    ( ~ hskp0
    | c2_1(a213) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f878,plain,
    ( ~ spl0_10
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f97,f875,f292]) ).

fof(f292,plain,
    ( spl0_10
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f97,plain,
    ( ~ c2_1(a218)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f872,plain,
    ( spl0_24
    | spl0_40
    | spl0_115
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f43,f262,f803,f419,f349]) ).

fof(f43,plain,
    ! [X107] :
      ( ~ ndr1_0
      | c0_1(X107)
      | ~ c2_1(X107)
      | hskp17
      | hskp10
      | ~ c1_1(X107) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f870,plain,
    ( ~ spl0_126
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f30,f419,f867]) ).

fof(f30,plain,
    ( ~ hskp17
    | ~ c2_1(a248) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f864,plain,
    ( ~ spl0_44
    | spl0_125 ),
    inference(avatar_split_clause,[],[f84,f861,f437]) ).

fof(f437,plain,
    ( spl0_44
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f84,plain,
    ( c2_1(a214)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f859,plain,
    ( ~ spl0_3
    | spl0_42
    | spl0_29
    | spl0_51 ),
    inference(avatar_split_clause,[],[f218,f471,f372,f428,f262]) ).

fof(f218,plain,
    ! [X90,X91,X89] :
      ( c1_1(X90)
      | ~ c0_1(X89)
      | c3_1(X89)
      | c0_1(X91)
      | c1_1(X91)
      | ~ c2_1(X91)
      | c2_1(X90)
      | ~ c3_1(X90)
      | ~ c1_1(X89)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f59]) ).

fof(f59,plain,
    ! [X90,X91,X89] :
      ( c1_1(X91)
      | ~ c3_1(X90)
      | c0_1(X91)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c0_1(X89)
      | c2_1(X90)
      | ~ c1_1(X89)
      | c3_1(X89)
      | c1_1(X90)
      | ~ c2_1(X91) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f858,plain,
    ( ~ spl0_63
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f61,f855,f526]) ).

fof(f526,plain,
    ( spl0_63
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f61,plain,
    ( ~ c3_1(a245)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f852,plain,
    ( spl0_123
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f181,f443,f849]) ).

fof(f181,plain,
    ( ~ hskp6
    | c1_1(a220) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f847,plain,
    ( ~ spl0_74
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f71,f844,f585]) ).

fof(f71,plain,
    ( ~ c2_1(a280)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f836,plain,
    ( spl0_7
    | spl0_59
    | spl0_35
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f91,f262,f399,f510,f280]) ).

fof(f280,plain,
    ( spl0_7
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f91,plain,
    ! [X79] :
      ( ~ ndr1_0
      | hskp0
      | c0_1(X79)
      | c3_1(X79)
      | hskp4
      | c2_1(X79) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f835,plain,
    ( spl0_24
    | ~ spl0_3
    | spl0_39
    | spl0_120 ),
    inference(avatar_split_clause,[],[f219,f833,f415,f262,f349]) ).

fof(f219,plain,
    ! [X63,X64] :
      ( ~ c2_1(X64)
      | ~ c2_1(X63)
      | ~ ndr1_0
      | c1_1(X63)
      | hskp10
      | c3_1(X64)
      | ~ c0_1(X63)
      | c0_1(X64) ),
    inference(duplicate_literal_removal,[],[f113]) ).

fof(f113,plain,
    ! [X63,X64] :
      ( ~ c2_1(X64)
      | c3_1(X64)
      | hskp10
      | ~ c0_1(X63)
      | ~ ndr1_0
      | c1_1(X63)
      | ~ ndr1_0
      | c0_1(X64)
      | ~ c2_1(X63) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f831,plain,
    ( ~ spl0_105
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f192,f828,f744]) ).

fof(f192,plain,
    ( ~ c2_1(a242)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f824,plain,
    ( ~ spl0_10
    | spl0_118 ),
    inference(avatar_split_clause,[],[f98,f821,f292]) ).

fof(f98,plain,
    ( c3_1(a218)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f814,plain,
    ( spl0_116
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f76,f423,f811]) ).

fof(f76,plain,
    ( ~ hskp27
    | c2_1(a261) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f808,plain,
    ( spl0_64
    | ~ spl0_3
    | spl0_24
    | spl0_115 ),
    inference(avatar_split_clause,[],[f221,f803,f349,f262,f533]) ).

fof(f221,plain,
    ! [X68,X67] :
      ( ~ c2_1(X68)
      | hskp10
      | ~ ndr1_0
      | ~ c1_1(X67)
      | c0_1(X68)
      | c2_1(X67)
      | c0_1(X67)
      | ~ c1_1(X68) ),
    inference(duplicate_literal_removal,[],[f111]) ).

fof(f111,plain,
    ! [X68,X67] :
      ( ~ ndr1_0
      | ~ ndr1_0
      | ~ c2_1(X68)
      | ~ c1_1(X68)
      | c0_1(X68)
      | c2_1(X67)
      | ~ c1_1(X67)
      | hskp10
      | c0_1(X67) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f807,plain,
    ( spl0_44
    | ~ spl0_3
    | spl0_9
    | spl0_86 ),
    inference(avatar_split_clause,[],[f222,f644,f288,f262,f437]) ).

fof(f222,plain,
    ! [X80,X81] :
      ( ~ c0_1(X80)
      | c3_1(X80)
      | c2_1(X80)
      | c0_1(X81)
      | ~ ndr1_0
      | hskp1
      | c1_1(X81)
      | c3_1(X81) ),
    inference(duplicate_literal_removal,[],[f90]) ).

fof(f90,plain,
    ! [X80,X81] :
      ( c1_1(X81)
      | c3_1(X81)
      | c3_1(X80)
      | c0_1(X81)
      | hskp1
      | ~ c0_1(X80)
      | c2_1(X80)
      | ~ ndr1_0
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f805,plain,
    ( ~ spl0_3
    | spl0_115
    | spl0_38
    | spl0_48 ),
    inference(avatar_split_clause,[],[f223,f456,f412,f803,f262]) ).

fof(f223,plain,
    ! [X48,X47] :
      ( hskp8
      | ~ c0_1(X47)
      | ~ c1_1(X48)
      | ~ c2_1(X48)
      | c2_1(X47)
      | ~ ndr1_0
      | c0_1(X48)
      | ~ c1_1(X47) ),
    inference(duplicate_literal_removal,[],[f138]) ).

fof(f138,plain,
    ! [X48,X47] :
      ( hskp8
      | ~ c2_1(X48)
      | ~ ndr1_0
      | ~ c1_1(X47)
      | c2_1(X47)
      | ~ ndr1_0
      | c0_1(X48)
      | ~ c0_1(X47)
      | ~ c1_1(X48) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f801,plain,
    ( ~ spl0_114
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f83,f437,f798]) ).

fof(f83,plain,
    ( ~ hskp1
    | ~ c3_1(a214) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f795,plain,
    ( ~ spl0_44
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f82,f792,f437]) ).

fof(f82,plain,
    ( ~ c0_1(a214)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f790,plain,
    ( ~ spl0_4
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f102,f787,f266]) ).

fof(f102,plain,
    ( ~ c2_1(a226)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f785,plain,
    ( ~ spl0_20
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f26,f782,f331]) ).

fof(f26,plain,
    ( ~ c3_1(a257)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f780,plain,
    ( ~ spl0_63
    | spl0_110 ),
    inference(avatar_split_clause,[],[f60,f777,f526]) ).

fof(f60,plain,
    ( c0_1(a245)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f774,plain,
    ( spl0_109
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f172,f559,f771]) ).

fof(f172,plain,
    ( ~ hskp26
    | c3_1(a234) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f767,plain,
    ( spl0_108
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f17,f336,f764]) ).

fof(f17,plain,
    ( ~ hskp11
    | c0_1(a236) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f762,plain,
    ( ~ spl0_62
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f120,f759,f522]) ).

fof(f120,plain,
    ( ~ c1_1(a239)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f755,plain,
    ( ~ spl0_63
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f63,f752,f526]) ).

fof(f63,plain,
    ( ~ c1_1(a245)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f747,plain,
    ( ~ spl0_104
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f193,f744,f740]) ).

fof(f193,plain,
    ( ~ hskp15
    | ~ c0_1(a242) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f738,plain,
    ( ~ spl0_3
    | spl0_26
    | spl0_16
    | spl0_103 ),
    inference(avatar_split_clause,[],[f228,f736,f317,f359,f262]) ).

fof(f359,plain,
    ( spl0_26
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f228,plain,
    ! [X62,X61] :
      ( ~ c3_1(X61)
      | ~ c0_1(X62)
      | hskp7
      | ~ c3_1(X62)
      | ~ c2_1(X62)
      | c0_1(X61)
      | ~ ndr1_0
      | c1_1(X61) ),
    inference(duplicate_literal_removal,[],[f114]) ).

fof(f114,plain,
    ! [X62,X61] :
      ( ~ ndr1_0
      | ~ c0_1(X62)
      | c1_1(X61)
      | ~ c3_1(X61)
      | ~ c2_1(X62)
      | ~ c3_1(X62)
      | c0_1(X61)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f734,plain,
    ( spl0_102
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f29,f419,f731]) ).

fof(f29,plain,
    ( ~ hskp17
    | c3_1(a248) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f729,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_83
    | spl0_27 ),
    inference(avatar_split_clause,[],[f229,f364,f628,f323,f262]) ).

fof(f229,plain,
    ! [X118,X119] :
      ( hskp12
      | ~ c1_1(X119)
      | ~ c2_1(X119)
      | c3_1(X118)
      | ~ c1_1(X118)
      | c0_1(X118)
      | c3_1(X119)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f28]) ).

fof(f28,plain,
    ! [X118,X119] :
      ( ~ c1_1(X118)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp12
      | ~ c2_1(X119)
      | c3_1(X118)
      | c0_1(X118)
      | ~ c1_1(X119)
      | c3_1(X119) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f728,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_11
    | spl0_60 ),
    inference(avatar_split_clause,[],[f230,f514,f297,f305,f262]) ).

fof(f230,plain,
    ! [X50,X51] :
      ( ~ c3_1(X51)
      | hskp18
      | ~ c1_1(X50)
      | c0_1(X51)
      | c2_1(X50)
      | ~ ndr1_0
      | ~ c1_1(X51)
      | ~ c3_1(X50) ),
    inference(duplicate_literal_removal,[],[f136]) ).

fof(f136,plain,
    ! [X50,X51] :
      ( ~ ndr1_0
      | ~ c1_1(X51)
      | c0_1(X51)
      | hskp18
      | ~ c3_1(X50)
      | c2_1(X50)
      | ~ c1_1(X50)
      | ~ ndr1_0
      | ~ c3_1(X51) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f727,plain,
    ( spl0_15
    | spl0_30
    | ~ spl0_3
    | spl0_41 ),
    inference(avatar_split_clause,[],[f22,f423,f262,f376,f312]) ).

fof(f22,plain,
    ! [X122] :
      ( hskp27
      | ~ ndr1_0
      | c2_1(X122)
      | hskp2
      | c1_1(X122)
      | c3_1(X122) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f726,plain,
    ( ~ spl0_4
    | spl0_101 ),
    inference(avatar_split_clause,[],[f100,f723,f266]) ).

fof(f100,plain,
    ( c0_1(a226)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f719,plain,
    ( spl0_100
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f19,f364,f716]) ).

fof(f19,plain,
    ( ~ hskp12
    | c2_1(a237) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f713,plain,
    ( spl0_99
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f167,f349,f710]) ).

fof(f167,plain,
    ( ~ hskp10
    | c3_1(a231) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f708,plain,
    ( ~ spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f165,f262,f257]) ).

fof(f165,plain,
    ( ndr1_0
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f707,plain,
    ( ~ spl0_98
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f128,f312,f704]) ).

fof(f128,plain,
    ( ~ hskp2
    | ~ c0_1(a215) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f701,plain,
    ( ~ spl0_97
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f180,f443,f698]) ).

fof(f180,plain,
    ( ~ hskp6
    | ~ c3_1(a220) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f696,plain,
    ( spl0_28
    | spl0_96
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f232,f257,f262,f694,f369]) ).

fof(f232,plain,
    ! [X70,X69] :
      ( hskp19
      | ~ ndr1_0
      | c0_1(X70)
      | ~ c3_1(X70)
      | c3_1(X69)
      | ~ c2_1(X70)
      | c2_1(X69)
      | ~ c1_1(X69) ),
    inference(duplicate_literal_removal,[],[f110]) ).

fof(f110,plain,
    ! [X70,X69] :
      ( c0_1(X70)
      | c3_1(X69)
      | ~ ndr1_0
      | ~ c1_1(X69)
      | ~ c2_1(X70)
      | hskp19
      | c2_1(X69)
      | ~ ndr1_0
      | ~ c3_1(X70) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f692,plain,
    ( ~ spl0_45
    | spl0_95 ),
    inference(avatar_split_clause,[],[f182,f689,f443]) ).

fof(f182,plain,
    ( c2_1(a220)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f681,plain,
    ( spl0_93
    | ~ spl0_3
    | spl0_10
    | spl0_42 ),
    inference(avatar_split_clause,[],[f233,f428,f292,f262,f679]) ).

fof(f233,plain,
    ! [X106,X105] :
      ( c0_1(X105)
      | hskp5
      | ~ ndr1_0
      | ~ c0_1(X106)
      | ~ c2_1(X105)
      | ~ c3_1(X106)
      | ~ c1_1(X106)
      | c1_1(X105) ),
    inference(duplicate_literal_removal,[],[f44]) ).

fof(f44,plain,
    ! [X106,X105] :
      ( ~ c0_1(X106)
      | ~ c2_1(X105)
      | c0_1(X105)
      | ~ ndr1_0
      | c1_1(X105)
      | ~ c1_1(X106)
      | ~ ndr1_0
      | hskp5
      | ~ c3_1(X106) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f676,plain,
    ( spl0_92
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f21,f364,f673]) ).

fof(f21,plain,
    ( ~ hskp12
    | c0_1(a237) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f671,plain,
    ( ~ spl0_3
    | spl0_44
    | spl0_91
    | spl0_14 ),
    inference(avatar_split_clause,[],[f234,f308,f669,f437,f262]) ).

fof(f234,plain,
    ! [X32,X33] :
      ( c1_1(X32)
      | c3_1(X32)
      | ~ c2_1(X32)
      | ~ c2_1(X33)
      | hskp1
      | c1_1(X33)
      | ~ c3_1(X33)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f158]) ).

fof(f158,plain,
    ! [X32,X33] :
      ( c1_1(X32)
      | hskp1
      | ~ c2_1(X33)
      | ~ c2_1(X32)
      | c3_1(X32)
      | ~ ndr1_0
      | ~ c3_1(X33)
      | ~ ndr1_0
      | c1_1(X33) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f667,plain,
    ( ~ spl0_7
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f10,f664,f280]) ).

fof(f10,plain,
    ( ~ c3_1(a217)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f661,plain,
    ( ~ spl0_48
    | spl0_89 ),
    inference(avatar_split_clause,[],[f153,f658,f456]) ).

fof(f153,plain,
    ( c3_1(a225)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f651,plain,
    ( ~ spl0_87
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f187,f394,f648]) ).

fof(f187,plain,
    ( ~ hskp25
    | ~ c0_1(a320) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f641,plain,
    ( ~ spl0_37
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f105,f638,f408]) ).

fof(f105,plain,
    ( ~ c1_1(a271)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f635,plain,
    ( spl0_84
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f121,f522,f632]) ).

fof(f121,plain,
    ( ~ hskp13
    | c3_1(a239) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f630,plain,
    ( spl0_17
    | spl0_70
    | spl0_83
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f236,f262,f628,f563,f320]) ).

fof(f236,plain,
    ! [X24,X22,X23] :
      ( ~ ndr1_0
      | ~ c1_1(X22)
      | c3_1(X22)
      | ~ c3_1(X23)
      | ~ c2_1(X22)
      | c3_1(X24)
      | c1_1(X24)
      | ~ c0_1(X24)
      | ~ c2_1(X23)
      | ~ c1_1(X23) ),
    inference(duplicate_literal_removal,[],[f176]) ).

fof(f176,plain,
    ! [X24,X22,X23] :
      ( ~ ndr1_0
      | c3_1(X22)
      | ~ ndr1_0
      | ~ c2_1(X23)
      | c3_1(X24)
      | c1_1(X24)
      | ~ c1_1(X22)
      | ~ c3_1(X23)
      | ~ ndr1_0
      | ~ c1_1(X23)
      | ~ c0_1(X24)
      | ~ c2_1(X22) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f626,plain,
    ( spl0_2
    | spl0_44
    | spl0_82
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f93,f262,f624,f437,f257]) ).

fof(f93,plain,
    ! [X76] :
      ( ~ ndr1_0
      | ~ c0_1(X76)
      | hskp1
      | ~ c3_1(X76)
      | hskp19
      | c1_1(X76) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f618,plain,
    ( ~ spl0_41
    | spl0_80 ),
    inference(avatar_split_clause,[],[f77,f615,f423]) ).

fof(f77,plain,
    ( c1_1(a261)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f613,plain,
    ( spl0_60
    | spl0_28
    | spl0_44
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f238,f262,f437,f369,f514]) ).

fof(f238,plain,
    ! [X6,X5] :
      ( ~ ndr1_0
      | hskp1
      | c3_1(X6)
      | c0_1(X5)
      | c2_1(X6)
      | ~ c1_1(X6)
      | ~ c1_1(X5)
      | ~ c3_1(X5) ),
    inference(duplicate_literal_removal,[],[f200]) ).

fof(f200,plain,
    ! [X6,X5] :
      ( hskp1
      | ~ ndr1_0
      | ~ c1_1(X6)
      | c3_1(X6)
      | ~ c3_1(X5)
      | c0_1(X5)
      | ~ ndr1_0
      | c2_1(X6)
      | ~ c1_1(X5) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f612,plain,
    ( ~ spl0_10
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f95,f609,f292]) ).

fof(f95,plain,
    ( ~ c1_1(a218)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f607,plain,
    ( ~ spl0_5
    | spl0_78 ),
    inference(avatar_split_clause,[],[f204,f604,f271]) ).

fof(f204,plain,
    ( c1_1(a282)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f602,plain,
    ( ~ spl0_77
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f35,f359,f599]) ).

fof(f35,plain,
    ( ~ hskp7
    | ~ c0_1(a223) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f592,plain,
    ( ~ spl0_74
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f74,f589,f585]) ).

fof(f74,plain,
    ( ~ c3_1(a280)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f583,plain,
    ( ~ spl0_2
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f162,f580,f257]) ).

fof(f162,plain,
    ( ~ c3_1(a255)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f578,plain,
    ( ~ spl0_53
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f142,f575,f481]) ).

fof(f142,plain,
    ( ~ c1_1(a241)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f573,plain,
    ( ~ spl0_71
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f168,f349,f570]) ).

fof(f168,plain,
    ( ~ hskp10
    | ~ c0_1(a231) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f566,plain,
    ( spl0_40
    | ~ spl0_3
    | spl0_12
    | spl0_27 ),
    inference(avatar_split_clause,[],[f148,f364,f301,f262,f419]) ).

fof(f148,plain,
    ! [X46] :
      ( hskp12
      | c2_1(X46)
      | c1_1(X46)
      | ~ c0_1(X46)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f557,plain,
    ( ~ spl0_68
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f123,f284,f554]) ).

fof(f123,plain,
    ( ~ hskp3
    | ~ c2_1(a216) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f552,plain,
    ( ~ spl0_3
    | spl0_62
    | spl0_8
    | spl0_18 ),
    inference(avatar_split_clause,[],[f184,f323,f284,f522,f262]) ).

fof(f184,plain,
    ! [X16] :
      ( c0_1(X16)
      | c3_1(X16)
      | hskp3
      | hskp13
      | ~ ndr1_0
      | ~ c1_1(X16) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f551,plain,
    ( spl0_8
    | spl0_63 ),
    inference(avatar_split_clause,[],[f56,f526,f284]) ).

fof(f56,plain,
    ( hskp16
    | hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f550,plain,
    ( ~ spl0_3
    | spl0_44
    | spl0_12
    | spl0_67 ),
    inference(avatar_split_clause,[],[f240,f548,f301,f437,f262]) ).

fof(f240,plain,
    ! [X94,X95] :
      ( c2_1(X95)
      | c2_1(X94)
      | hskp1
      | ~ c3_1(X95)
      | c0_1(X95)
      | ~ c0_1(X94)
      | ~ ndr1_0
      | c1_1(X94) ),
    inference(duplicate_literal_removal,[],[f55]) ).

fof(f55,plain,
    ! [X94,X95] :
      ( c2_1(X95)
      | hskp1
      | ~ c3_1(X95)
      | c1_1(X94)
      | ~ ndr1_0
      | ~ ndr1_0
      | c0_1(X95)
      | c2_1(X94)
      | ~ c0_1(X94) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f540,plain,
    ( spl0_65
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f186,f394,f537]) ).

fof(f186,plain,
    ( ~ hskp25
    | c2_1(a320) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f531,plain,
    ( spl0_17
    | spl0_14
    | ~ spl0_3
    | spl0_61 ),
    inference(avatar_split_clause,[],[f243,f518,f262,f308,f320]) ).

fof(f243,plain,
    ! [X41,X42,X43] :
      ( ~ c0_1(X43)
      | ~ ndr1_0
      | c1_1(X41)
      | c3_1(X42)
      | c1_1(X42)
      | ~ c2_1(X41)
      | c3_1(X41)
      | ~ c3_1(X43)
      | c2_1(X43)
      | ~ c0_1(X42) ),
    inference(duplicate_literal_removal,[],[f150]) ).

fof(f150,plain,
    ! [X41,X42,X43] :
      ( c1_1(X41)
      | ~ c2_1(X41)
      | ~ ndr1_0
      | c3_1(X42)
      | ~ ndr1_0
      | c1_1(X42)
      | ~ c0_1(X43)
      | c3_1(X41)
      | c2_1(X43)
      | ~ c3_1(X43)
      | ~ c0_1(X42)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f530,plain,
    ( spl0_8
    | spl0_45
    | ~ spl0_3
    | spl0_42 ),
    inference(avatar_split_clause,[],[f179,f428,f262,f443,f284]) ).

fof(f179,plain,
    ! [X17] :
      ( c0_1(X17)
      | ~ ndr1_0
      | ~ c2_1(X17)
      | c1_1(X17)
      | hskp6
      | hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f529,plain,
    ( spl0_27
    | spl0_62
    | spl0_63 ),
    inference(avatar_split_clause,[],[f189,f526,f522,f364]) ).

fof(f189,plain,
    ( hskp16
    | hskp13
    | hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f520,plain,
    ( ~ spl0_3
    | spl0_42
    | spl0_16
    | spl0_61 ),
    inference(avatar_split_clause,[],[f244,f518,f317,f428,f262]) ).

fof(f244,plain,
    ! [X126,X127,X125] :
      ( ~ c0_1(X127)
      | ~ c3_1(X125)
      | c2_1(X127)
      | c0_1(X126)
      | ~ c2_1(X125)
      | ~ c2_1(X126)
      | ~ c3_1(X127)
      | ~ ndr1_0
      | ~ c0_1(X125)
      | c1_1(X126) ),
    inference(duplicate_literal_removal,[],[f12]) ).

fof(f12,plain,
    ! [X126,X127,X125] :
      ( c0_1(X126)
      | ~ c0_1(X127)
      | ~ c2_1(X126)
      | c2_1(X127)
      | ~ c3_1(X125)
      | ~ ndr1_0
      | ~ c2_1(X125)
      | ~ c3_1(X127)
      | ~ c0_1(X125)
      | c1_1(X126)
      | ~ ndr1_0
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f499,plain,
    ( spl0_56
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f23,f331,f496]) ).

fof(f23,plain,
    ( ~ hskp20
    | c0_1(a257) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f494,plain,
    ( ~ spl0_7
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f9,f491,f280]) ).

fof(f9,plain,
    ( ~ c1_1(a217)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f479,plain,
    ( ~ spl0_41
    | spl0_52 ),
    inference(avatar_split_clause,[],[f78,f476,f423]) ).

fof(f78,plain,
    ( c3_1(a261)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f469,plain,
    ( ~ spl0_26
    | spl0_50 ),
    inference(avatar_split_clause,[],[f36,f466,f359]) ).

fof(f36,plain,
    ( c1_1(a223)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f464,plain,
    ( ~ spl0_49
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f147,f399,f461]) ).

fof(f147,plain,
    ( ~ hskp0
    | ~ c3_1(a213) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f459,plain,
    ( ~ spl0_3
    | spl0_48
    | spl0_30
    | spl0_28 ),
    inference(avatar_split_clause,[],[f247,f369,f376,f456,f262]) ).

fof(f247,plain,
    ! [X26,X25] :
      ( c3_1(X25)
      | c3_1(X26)
      | ~ c1_1(X25)
      | c1_1(X26)
      | hskp8
      | ~ ndr1_0
      | c2_1(X26)
      | c2_1(X25) ),
    inference(duplicate_literal_removal,[],[f171]) ).

fof(f171,plain,
    ! [X26,X25] :
      ( ~ ndr1_0
      | c3_1(X25)
      | c1_1(X26)
      | ~ c1_1(X25)
      | c3_1(X26)
      | hskp8
      | ~ ndr1_0
      | c2_1(X25)
      | c2_1(X26) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f454,plain,
    ( ~ spl0_7
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f8,f451,f280]) ).

fof(f8,plain,
    ( ~ c2_1(a217)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f449,plain,
    ( spl0_26
    | spl0_45
    | ~ spl0_3
    | spl0_46 ),
    inference(avatar_split_clause,[],[f202,f447,f262,f443,f359]) ).

fof(f202,plain,
    ! [X2] :
      ( ~ c0_1(X2)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | c3_1(X2)
      | hskp6
      | hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f435,plain,
    ( ~ spl0_11
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f69,f432,f297]) ).

fof(f69,plain,
    ( ~ c1_1(a252)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f430,plain,
    ( ~ spl0_3
    | spl0_35
    | spl0_42
    | spl0_15 ),
    inference(avatar_split_clause,[],[f178,f312,f428,f399,f262]) ).

fof(f178,plain,
    ! [X18] :
      ( hskp2
      | c0_1(X18)
      | hskp0
      | ~ c2_1(X18)
      | ~ ndr1_0
      | c1_1(X18) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f426,plain,
    ( spl0_40
    | spl0_11
    | spl0_41 ),
    inference(avatar_split_clause,[],[f143,f423,f297,f419]) ).

fof(f143,plain,
    ( hskp27
    | hskp18
    | hskp17 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f417,plain,
    ( spl0_37
    | spl0_38
    | ~ spl0_3
    | spl0_39 ),
    inference(avatar_split_clause,[],[f248,f415,f262,f412,f408]) ).

fof(f248,plain,
    ! [X0,X1] :
      ( c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | hskp22
      | c2_1(X0) ),
    inference(duplicate_literal_removal,[],[f203]) ).

fof(f203,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X1)
      | hskp22
      | ~ c0_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f406,plain,
    ( ~ spl0_35
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f146,f403,f399]) ).

fof(f146,plain,
    ( ~ c1_1(a213)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f397,plain,
    ( spl0_33
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f188,f394,f390]) ).

fof(f188,plain,
    ( ~ hskp25
    | c3_1(a320) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f374,plain,
    ( spl0_28
    | ~ spl0_3
    | spl0_29
    | spl0_16 ),
    inference(avatar_split_clause,[],[f249,f317,f372,f262,f369]) ).

fof(f249,plain,
    ! [X10,X8,X9] :
      ( ~ c2_1(X8)
      | ~ c0_1(X9)
      | ~ ndr1_0
      | ~ c3_1(X8)
      | c3_1(X10)
      | c3_1(X9)
      | ~ c1_1(X10)
      | ~ c0_1(X8)
      | ~ c1_1(X9)
      | c2_1(X10) ),
    inference(duplicate_literal_removal,[],[f198]) ).

fof(f198,plain,
    ! [X10,X8,X9] :
      ( ~ c1_1(X10)
      | ~ ndr1_0
      | ~ ndr1_0
      | c3_1(X10)
      | ~ c1_1(X9)
      | ~ c0_1(X8)
      | ~ c0_1(X9)
      | ~ ndr1_0
      | ~ c2_1(X8)
      | c2_1(X10)
      | ~ c3_1(X8)
      | c3_1(X9) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f362,plain,
    ( spl0_25
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f34,f359,f355]) ).

fof(f34,plain,
    ( ~ hskp7
    | c2_1(a223) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f352,plain,
    ( spl0_23
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f166,f349,f345]) ).

fof(f166,plain,
    ( ~ hskp10
    | c1_1(a231) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f343,plain,
    ( ~ spl0_21
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f15,f340,f336]) ).

fof(f15,plain,
    ( ~ c2_1(a236)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f334,plain,
    ( spl0_19
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f25,f331,f327]) ).

fof(f25,plain,
    ( ~ hskp20
    | c1_1(a257) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f325,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f250,f323,f320,f317,f262]) ).

fof(f250,plain,
    ! [X14,X12,X13] :
      ( c0_1(X14)
      | c1_1(X13)
      | c3_1(X14)
      | c3_1(X13)
      | ~ c0_1(X12)
      | ~ c3_1(X12)
      | ~ c0_1(X13)
      | ~ c1_1(X14)
      | ~ ndr1_0
      | ~ c2_1(X12) ),
    inference(duplicate_literal_removal,[],[f195]) ).

fof(f195,plain,
    ! [X14,X12,X13] :
      ( c3_1(X13)
      | ~ c0_1(X13)
      | ~ c3_1(X12)
      | ~ ndr1_0
      | c3_1(X14)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c0_1(X12)
      | c0_1(X14)
      | ~ c1_1(X14)
      | c1_1(X13)
      | ~ c2_1(X12) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f310,plain,
    ( spl0_12
    | spl0_13
    | spl0_14
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f251,f262,f308,f305,f301]) ).

fof(f251,plain,
    ! [X113,X114,X112] :
      ( ~ ndr1_0
      | ~ c2_1(X114)
      | ~ c1_1(X112)
      | ~ c0_1(X113)
      | c1_1(X113)
      | ~ c3_1(X112)
      | c2_1(X112)
      | c3_1(X114)
      | c2_1(X113)
      | c1_1(X114) ),
    inference(duplicate_literal_removal,[],[f40]) ).

fof(f40,plain,
    ! [X113,X114,X112] :
      ( c1_1(X114)
      | ~ c3_1(X112)
      | c2_1(X113)
      | ~ ndr1_0
      | c3_1(X114)
      | c1_1(X113)
      | c2_1(X112)
      | ~ c1_1(X112)
      | ~ ndr1_0
      | ~ c0_1(X113)
      | ~ ndr1_0
      | ~ c2_1(X114) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f303,plain,
    ( spl0_11
    | ~ spl0_3
    | spl0_2
    | spl0_12 ),
    inference(avatar_split_clause,[],[f37,f301,f257,f262,f297]) ).

fof(f37,plain,
    ! [X117] :
      ( c1_1(X117)
      | hskp19
      | ~ ndr1_0
      | c2_1(X117)
      | ~ c0_1(X117)
      | hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f290,plain,
    ( spl0_7
    | spl0_8
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f65,f288,f262,f284,f280]) ).

fof(f65,plain,
    ! [X85] :
      ( c0_1(X85)
      | ~ ndr1_0
      | hskp3
      | hskp4
      | c3_1(X85)
      | c1_1(X85) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f278,plain,
    ( ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f205,f275,f271]) ).

fof(f205,plain,
    ( c0_1(a282)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f260,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f164,f257,f253]) ).

fof(f164,plain,
    ( ~ hskp19
    | ~ c1_1(a255) ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN503+1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 21:57:47 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.51  % (13696)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52  % (13694)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (13710)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52  % (13702)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52  % (13697)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (13689)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53  % (13687)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (13685)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54  % (13695)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  % (13713)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.54  % (13705)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54  % (13699)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.54  % (13700)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54  % (13712)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.55  % (13711)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.55  % (13691)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55  % (13693)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55  % (13704)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.55  % (13708)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.55  % (13707)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.55  % (13703)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.55  % (13684)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.55  % (13688)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.56  % (13706)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.56  % (13685)Refutation not found, incomplete strategy% (13685)------------------------------
% 0.19/0.56  % (13685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (13685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (13685)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56  
% 0.19/0.56  % (13685)Memory used [KB]: 6524
% 0.19/0.56  % (13685)Time elapsed: 0.154 s
% 0.19/0.56  % (13685)Instructions burned: 18 (million)
% 0.19/0.56  % (13685)------------------------------
% 0.19/0.56  % (13685)------------------------------
% 0.19/0.56  % (13698)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.56  % (13686)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.57  % (13691)Instruction limit reached!
% 0.19/0.57  % (13691)------------------------------
% 0.19/0.57  % (13691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (13691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (13691)Termination reason: Unknown
% 0.19/0.57  % (13691)Termination phase: Saturation
% 0.19/0.57  
% 0.19/0.57  % (13691)Memory used [KB]: 6140
% 0.19/0.57  % (13691)Time elapsed: 0.005 s
% 0.19/0.57  % (13691)Instructions burned: 8 (million)
% 0.19/0.57  % (13691)------------------------------
% 0.19/0.57  % (13691)------------------------------
% 0.19/0.57  % (13701)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.58  % (13692)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.59  % (13690)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.60  % (13713)First to succeed.
% 0.19/0.60  % (13692)Instruction limit reached!
% 0.19/0.60  % (13692)------------------------------
% 0.19/0.60  % (13692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60  % (13692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60  % (13692)Termination reason: Unknown
% 0.19/0.60  % (13692)Termination phase: shuffling
% 0.19/0.60  
% 0.19/0.60  % (13692)Memory used [KB]: 1279
% 0.19/0.60  % (13692)Time elapsed: 0.004 s
% 0.19/0.60  % (13692)Instructions burned: 3 (million)
% 0.19/0.60  % (13692)------------------------------
% 0.19/0.60  % (13692)------------------------------
% 1.93/0.61  % (13709)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.93/0.61  Detected maximum model sizes of [30]
% 1.93/0.61  TRYING [1]
% 1.93/0.61  TRYING [2]
% 1.93/0.62  % (13689)Instruction limit reached!
% 1.93/0.62  % (13689)------------------------------
% 1.93/0.62  % (13689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.62  % (13689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.62  % (13689)Termination reason: Unknown
% 1.93/0.62  % (13689)Termination phase: Saturation
% 1.93/0.62  
% 1.93/0.62  % (13689)Memory used [KB]: 7164
% 1.93/0.62  % (13689)Time elapsed: 0.200 s
% 1.93/0.62  % (13689)Instructions burned: 48 (million)
% 1.93/0.62  % (13689)------------------------------
% 1.93/0.62  % (13689)------------------------------
% 1.93/0.62  TRYING [3]
% 1.93/0.62  Detected maximum model sizes of [30]
% 1.93/0.62  TRYING [1]
% 1.93/0.62  TRYING [2]
% 1.93/0.62  TRYING [3]
% 1.93/0.62  % (13694)Instruction limit reached!
% 1.93/0.62  % (13694)------------------------------
% 1.93/0.62  % (13694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.62  % (13694)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.62  % (13694)Termination reason: Unknown
% 1.93/0.62  % (13694)Termination phase: Saturation
% 1.93/0.62  
% 1.93/0.62  % (13694)Memory used [KB]: 7036
% 1.93/0.62  % (13694)Time elapsed: 0.192 s
% 1.93/0.62  % (13694)Instructions burned: 51 (million)
% 1.93/0.62  % (13694)------------------------------
% 1.93/0.62  % (13694)------------------------------
% 1.93/0.62  % (13710)Instruction limit reached!
% 1.93/0.62  % (13710)------------------------------
% 1.93/0.62  % (13710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.62  Detected maximum model sizes of [30]
% 1.93/0.62  TRYING [1]
% 1.93/0.62  TRYING [2]
% 1.93/0.62  % (13710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.62  % (13710)Termination reason: Unknown
% 1.93/0.62  % (13710)Termination phase: Saturation
% 1.93/0.62  
% 1.93/0.62  % (13710)Memory used [KB]: 6652
% 1.93/0.62  % (13710)Time elapsed: 0.044 s
% 1.93/0.62  % (13710)Instructions burned: 68 (million)
% 1.93/0.62  % (13710)------------------------------
% 1.93/0.62  % (13710)------------------------------
% 1.93/0.63  TRYING [3]
% 1.93/0.63  % (13713)Refutation found. Thanks to Tanya!
% 1.93/0.63  % SZS status Theorem for theBenchmark
% 1.93/0.63  % SZS output start Proof for theBenchmark
% See solution above
% 2.12/0.63  % (13713)------------------------------
% 2.12/0.63  % (13713)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.63  % (13713)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.63  % (13713)Termination reason: Refutation
% 2.12/0.63  
% 2.12/0.63  % (13713)Memory used [KB]: 7291
% 2.12/0.63  % (13713)Time elapsed: 0.197 s
% 2.12/0.63  % (13713)Instructions burned: 44 (million)
% 2.12/0.63  % (13713)------------------------------
% 2.12/0.63  % (13713)------------------------------
% 2.12/0.63  % (13683)Success in time 0.271 s
%------------------------------------------------------------------------------