TSTP Solution File: SYN445+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN445+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 : n015.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 19:38:02 EDT 2022

% Result   : Theorem 1.50s 0.58s
% Output   : Refutation 1.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   80
% Syntax   : Number of formulae    :  305 (   1 unt;   0 def)
%            Number of atoms       : 4551 (   0 equ)
%            Maximal formula atoms :  606 (  14 avg)
%            Number of connectives : 6193 (1947   ~;2717   |;1074   &)
%                                         (  79 <=>; 376  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   98 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  115 ( 114 usr; 111 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   :  634 ( 634   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1529,plain,
    $false,
    inference(avatar_sat_refutation,[],[f198,f241,f255,f262,f278,f287,f314,f378,f402,f403,f408,f426,f440,f449,f458,f467,f483,f496,f503,f541,f545,f556,f567,f568,f586,f591,f621,f623,f628,f633,f638,f646,f661,f666,f681,f686,f691,f697,f723,f733,f734,f756,f767,f797,f820,f825,f827,f838,f849,f864,f900,f902,f907,f911,f917,f918,f923,f925,f927,f943,f946,f960,f966,f967,f973,f1003,f1013,f1042,f1045,f1099,f1113,f1114,f1139,f1142,f1185,f1194,f1220,f1304,f1357,f1408,f1422,f1465,f1507,f1508,f1518,f1519,f1520,f1522,f1523,f1528]) ).

fof(f1528,plain,
    ( spl0_107
    | spl0_146
    | ~ spl0_80
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1527,f753,f543,f904,f683]) ).

fof(f683,plain,
    ( spl0_107
  <=> c2_1(a310) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f904,plain,
    ( spl0_146
  <=> c0_1(a310) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f543,plain,
    ( spl0_80
  <=> ! [X42] :
        ( c0_1(X42)
        | c2_1(X42)
        | ~ c3_1(X42) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f753,plain,
    ( spl0_119
  <=> c3_1(a310) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1527,plain,
    ( c0_1(a310)
    | c2_1(a310)
    | ~ spl0_80
    | ~ spl0_119 ),
    inference(resolution,[],[f755,f544]) ).

fof(f544,plain,
    ( ! [X42] :
        ( ~ c3_1(X42)
        | c2_1(X42)
        | c0_1(X42) )
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f755,plain,
    ( c3_1(a310)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f1523,plain,
    ( ~ spl0_51
    | ~ spl0_155
    | ~ spl0_115
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1471,f774,f730,f970,f405]) ).

fof(f405,plain,
    ( spl0_51
  <=> c2_1(a321) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f970,plain,
    ( spl0_155
  <=> c0_1(a321) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f730,plain,
    ( spl0_115
  <=> c3_1(a321) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f774,plain,
    ( spl0_123
  <=> ! [X55] :
        ( ~ c3_1(X55)
        | ~ c2_1(X55)
        | ~ c0_1(X55) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1471,plain,
    ( ~ c0_1(a321)
    | ~ c2_1(a321)
    | ~ spl0_115
    | ~ spl0_123 ),
    inference(resolution,[],[f775,f732]) ).

fof(f732,plain,
    ( c3_1(a321)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f730]) ).

fof(f775,plain,
    ( ! [X55] :
        ( ~ c3_1(X55)
        | ~ c0_1(X55)
        | ~ c2_1(X55) )
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f1522,plain,
    ( spl0_103
    | spl0_154
    | ~ spl0_80
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1322,f846,f543,f957,f663]) ).

fof(f663,plain,
    ( spl0_103
  <=> c0_1(a336) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f957,plain,
    ( spl0_154
  <=> c2_1(a336) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f846,plain,
    ( spl0_136
  <=> c3_1(a336) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1322,plain,
    ( c2_1(a336)
    | c0_1(a336)
    | ~ spl0_80
    | ~ spl0_136 ),
    inference(resolution,[],[f544,f848]) ).

fof(f848,plain,
    ( c3_1(a336)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f846]) ).

fof(f1520,plain,
    ( ~ spl0_51
    | spl0_155
    | ~ spl0_115
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1514,f909,f730,f970,f405]) ).

fof(f909,plain,
    ( spl0_147
  <=> ! [X90] :
        ( ~ c3_1(X90)
        | c0_1(X90)
        | ~ c2_1(X90) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1514,plain,
    ( c0_1(a321)
    | ~ c2_1(a321)
    | ~ spl0_115
    | ~ spl0_147 ),
    inference(resolution,[],[f910,f732]) ).

fof(f910,plain,
    ( ! [X90] :
        ( ~ c3_1(X90)
        | c0_1(X90)
        | ~ c2_1(X90) )
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f909]) ).

fof(f1519,plain,
    ( ~ spl0_156
    | spl0_132
    | ~ spl0_60
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1511,f909,f446,f822,f977]) ).

fof(f977,plain,
    ( spl0_156
  <=> c2_1(a308) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f822,plain,
    ( spl0_132
  <=> c0_1(a308) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f446,plain,
    ( spl0_60
  <=> c3_1(a308) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1511,plain,
    ( c0_1(a308)
    | ~ c2_1(a308)
    | ~ spl0_60
    | ~ spl0_147 ),
    inference(resolution,[],[f910,f448]) ).

fof(f448,plain,
    ( c3_1(a308)
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f1518,plain,
    ( spl0_103
    | ~ spl0_154
    | ~ spl0_136
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1515,f909,f846,f957,f663]) ).

fof(f1515,plain,
    ( ~ c2_1(a336)
    | c0_1(a336)
    | ~ spl0_136
    | ~ spl0_147 ),
    inference(resolution,[],[f910,f848]) ).

fof(f1508,plain,
    ( spl0_23
    | spl0_155
    | ~ spl0_115
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1498,f883,f730,f970,f280]) ).

fof(f280,plain,
    ( spl0_23
  <=> c1_1(a321) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f883,plain,
    ( spl0_143
  <=> ! [X70] :
        ( c1_1(X70)
        | ~ c3_1(X70)
        | c0_1(X70) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1498,plain,
    ( c0_1(a321)
    | c1_1(a321)
    | ~ spl0_115
    | ~ spl0_143 ),
    inference(resolution,[],[f884,f732]) ).

fof(f884,plain,
    ( ! [X70] :
        ( ~ c3_1(X70)
        | c0_1(X70)
        | c1_1(X70) )
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f883]) ).

fof(f1507,plain,
    ( spl0_148
    | spl0_103
    | ~ spl0_136
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1499,f883,f846,f663,f914]) ).

fof(f914,plain,
    ( spl0_148
  <=> c1_1(a336) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1499,plain,
    ( c0_1(a336)
    | c1_1(a336)
    | ~ spl0_136
    | ~ spl0_143 ),
    inference(resolution,[],[f884,f848]) ).

fof(f1465,plain,
    ( ~ spl0_152
    | ~ spl0_88
    | ~ spl0_57
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1459,f1073,f433,f583,f940]) ).

fof(f940,plain,
    ( spl0_152
  <=> c3_1(a299) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f583,plain,
    ( spl0_88
  <=> c0_1(a299) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f433,plain,
    ( spl0_57
  <=> ! [X48] :
        ( ~ c3_1(X48)
        | ~ c1_1(X48)
        | ~ c0_1(X48) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1073,plain,
    ( spl0_163
  <=> c1_1(a299) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f1459,plain,
    ( ~ c0_1(a299)
    | ~ c3_1(a299)
    | ~ spl0_57
    | ~ spl0_163 ),
    inference(resolution,[],[f434,f1075]) ).

fof(f1075,plain,
    ( c1_1(a299)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1073]) ).

fof(f434,plain,
    ( ! [X48] :
        ( ~ c1_1(X48)
        | ~ c3_1(X48)
        | ~ c0_1(X48) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f1422,plain,
    ( spl0_99
    | ~ spl0_149
    | ~ spl0_54
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1415,f489,f419,f920,f643]) ).

fof(f643,plain,
    ( spl0_99
  <=> c1_1(a313) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f920,plain,
    ( spl0_149
  <=> c0_1(a313) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f419,plain,
    ( spl0_54
  <=> c3_1(a313) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f489,plain,
    ( spl0_69
  <=> ! [X36] :
        ( ~ c3_1(X36)
        | c1_1(X36)
        | ~ c0_1(X36) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1415,plain,
    ( ~ c0_1(a313)
    | c1_1(a313)
    | ~ spl0_54
    | ~ spl0_69 ),
    inference(resolution,[],[f421,f490]) ).

fof(f490,plain,
    ( ! [X36] :
        ( ~ c3_1(X36)
        | ~ c0_1(X36)
        | c1_1(X36) )
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f421,plain,
    ( c3_1(a313)
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f1408,plain,
    ( ~ spl0_139
    | spl0_131
    | ~ spl0_21
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f1406,f334,f271,f817,f861]) ).

fof(f861,plain,
    ( spl0_139
  <=> c3_1(a309) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f817,plain,
    ( spl0_131
  <=> c2_1(a309) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f271,plain,
    ( spl0_21
  <=> c1_1(a309) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f334,plain,
    ( spl0_35
  <=> ! [X38] :
        ( c2_1(X38)
        | ~ c1_1(X38)
        | ~ c3_1(X38) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1406,plain,
    ( c2_1(a309)
    | ~ c3_1(a309)
    | ~ spl0_21
    | ~ spl0_35 ),
    inference(resolution,[],[f273,f335]) ).

fof(f335,plain,
    ( ! [X38] :
        ( ~ c1_1(X38)
        | c2_1(X38)
        | ~ c3_1(X38) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f273,plain,
    ( c1_1(a309)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f1357,plain,
    ( spl0_102
    | ~ spl0_167
    | ~ spl0_87
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1353,f625,f579,f1136,f658]) ).

fof(f658,plain,
    ( spl0_102
  <=> c3_1(a333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1136,plain,
    ( spl0_167
  <=> c0_1(a333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f579,plain,
    ( spl0_87
  <=> ! [X21] :
        ( c3_1(X21)
        | ~ c0_1(X21)
        | ~ c1_1(X21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f625,plain,
    ( spl0_96
  <=> c1_1(a333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1353,plain,
    ( ~ c0_1(a333)
    | c3_1(a333)
    | ~ spl0_87
    | ~ spl0_96 ),
    inference(resolution,[],[f580,f627]) ).

fof(f627,plain,
    ( c1_1(a333)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f580,plain,
    ( ! [X21] :
        ( ~ c1_1(X21)
        | ~ c0_1(X21)
        | c3_1(X21) )
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f579]) ).

fof(f1304,plain,
    ( spl0_109
    | spl0_102
    | ~ spl0_66
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1300,f625,f473,f658,f694]) ).

fof(f694,plain,
    ( spl0_109
  <=> c2_1(a333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f473,plain,
    ( spl0_66
  <=> ! [X65] :
        ( ~ c1_1(X65)
        | c2_1(X65)
        | c3_1(X65) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1300,plain,
    ( c3_1(a333)
    | c2_1(a333)
    | ~ spl0_66
    | ~ spl0_96 ),
    inference(resolution,[],[f474,f627]) ).

fof(f474,plain,
    ( ! [X65] :
        ( ~ c1_1(X65)
        | c2_1(X65)
        | c3_1(X65) )
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f473]) ).

fof(f1220,plain,
    ( spl0_148
    | spl0_103
    | ~ spl0_18
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1211,f957,f260,f663,f914]) ).

fof(f260,plain,
    ( spl0_18
  <=> ! [X44] :
        ( ~ c2_1(X44)
        | c1_1(X44)
        | c0_1(X44) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1211,plain,
    ( c0_1(a336)
    | c1_1(a336)
    | ~ spl0_18
    | ~ spl0_154 ),
    inference(resolution,[],[f261,f959]) ).

fof(f959,plain,
    ( c2_1(a336)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f957]) ).

fof(f261,plain,
    ( ! [X44] :
        ( ~ c2_1(X44)
        | c1_1(X44)
        | c0_1(X44) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f1194,plain,
    ( ~ spl0_152
    | spl0_61
    | ~ spl0_35
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1191,f1073,f334,f451,f940]) ).

fof(f451,plain,
    ( spl0_61
  <=> c2_1(a299) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1191,plain,
    ( c2_1(a299)
    | ~ c3_1(a299)
    | ~ spl0_35
    | ~ spl0_163 ),
    inference(resolution,[],[f1075,f335]) ).

fof(f1185,plain,
    ( spl0_61
    | spl0_163
    | ~ spl0_7
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1173,f940,f213,f1073,f451]) ).

fof(f213,plain,
    ( spl0_7
  <=> ! [X30] :
        ( c1_1(X30)
        | ~ c3_1(X30)
        | c2_1(X30) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1173,plain,
    ( c1_1(a299)
    | c2_1(a299)
    | ~ spl0_7
    | ~ spl0_152 ),
    inference(resolution,[],[f214,f942]) ).

fof(f942,plain,
    ( c3_1(a299)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f214,plain,
    ( ! [X30] :
        ( ~ c3_1(X30)
        | c1_1(X30)
        | c2_1(X30) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f1142,plain,
    ( spl0_109
    | spl0_167
    | ~ spl0_47
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1141,f658,f388,f1136,f694]) ).

fof(f388,plain,
    ( spl0_47
  <=> ! [X3] :
        ( c3_1(X3)
        | c2_1(X3)
        | c0_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f1141,plain,
    ( c0_1(a333)
    | c2_1(a333)
    | ~ spl0_47
    | spl0_102 ),
    inference(resolution,[],[f660,f389]) ).

fof(f389,plain,
    ( ! [X3] :
        ( c3_1(X3)
        | c2_1(X3)
        | c0_1(X3) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f660,plain,
    ( ~ c3_1(a333)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f1139,plain,
    ( spl0_109
    | ~ spl0_167
    | ~ spl0_6
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1128,f625,f210,f1136,f694]) ).

fof(f210,plain,
    ( spl0_6
  <=> ! [X29] :
        ( ~ c1_1(X29)
        | ~ c0_1(X29)
        | c2_1(X29) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f1128,plain,
    ( ~ c0_1(a333)
    | c2_1(a333)
    | ~ spl0_6
    | ~ spl0_96 ),
    inference(resolution,[],[f627,f211]) ).

fof(f211,plain,
    ( ! [X29] :
        ( ~ c1_1(X29)
        | ~ c0_1(X29)
        | c2_1(X29) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f1114,plain,
    ( ~ spl0_155
    | spl0_23
    | ~ spl0_51
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f1110,f442,f405,f280,f970]) ).

fof(f442,plain,
    ( spl0_59
  <=> ! [X75] :
        ( ~ c2_1(X75)
        | ~ c0_1(X75)
        | c1_1(X75) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1110,plain,
    ( c1_1(a321)
    | ~ c0_1(a321)
    | ~ spl0_51
    | ~ spl0_59 ),
    inference(resolution,[],[f443,f407]) ).

fof(f407,plain,
    ( c2_1(a321)
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f443,plain,
    ( ! [X75] :
        ( ~ c2_1(X75)
        | c1_1(X75)
        | ~ c0_1(X75) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f1113,plain,
    ( spl0_70
    | ~ spl0_12
    | ~ spl0_59
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1106,f794,f442,f234,f493]) ).

fof(f493,plain,
    ( spl0_70
  <=> c1_1(a295) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f234,plain,
    ( spl0_12
  <=> c0_1(a295) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f794,plain,
    ( spl0_127
  <=> c2_1(a295) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1106,plain,
    ( ~ c0_1(a295)
    | c1_1(a295)
    | ~ spl0_59
    | ~ spl0_127 ),
    inference(resolution,[],[f443,f796]) ).

fof(f796,plain,
    ( c2_1(a295)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f794]) ).

fof(f1099,plain,
    ( spl0_82
    | spl0_95
    | ~ spl0_46
    | spl0_64 ),
    inference(avatar_split_clause,[],[f1085,f464,f385,f618,f553]) ).

fof(f553,plain,
    ( spl0_82
  <=> c2_1(a300) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f618,plain,
    ( spl0_95
  <=> c0_1(a300) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f385,plain,
    ( spl0_46
  <=> ! [X4] :
        ( c2_1(X4)
        | c0_1(X4)
        | c1_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f464,plain,
    ( spl0_64
  <=> c1_1(a300) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1085,plain,
    ( c0_1(a300)
    | c2_1(a300)
    | ~ spl0_46
    | spl0_64 ),
    inference(resolution,[],[f386,f466]) ).

fof(f466,plain,
    ( ~ c1_1(a300)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f386,plain,
    ( ! [X4] :
        ( c1_1(X4)
        | c2_1(X4)
        | c0_1(X4) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f1045,plain,
    ( ~ spl0_60
    | spl0_156
    | ~ spl0_16
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f982,f334,f252,f977,f446]) ).

fof(f252,plain,
    ( spl0_16
  <=> c1_1(a308) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f982,plain,
    ( c2_1(a308)
    | ~ c3_1(a308)
    | ~ spl0_16
    | ~ spl0_35 ),
    inference(resolution,[],[f335,f254]) ).

fof(f254,plain,
    ( c1_1(a308)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f1042,plain,
    ( ~ spl0_108
    | spl0_97
    | ~ spl0_48
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1041,f764,f391,f630,f688]) ).

fof(f688,plain,
    ( spl0_108
  <=> c2_1(a315) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f630,plain,
    ( spl0_97
  <=> c0_1(a315) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f391,plain,
    ( spl0_48
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f764,plain,
    ( spl0_121
  <=> c1_1(a315) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1041,plain,
    ( c0_1(a315)
    | ~ c2_1(a315)
    | ~ spl0_48
    | ~ spl0_121 ),
    inference(resolution,[],[f392,f766]) ).

fof(f766,plain,
    ( c1_1(a315)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f392,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f1013,plain,
    ( spl0_58
    | spl0_30
    | ~ spl0_47
    | spl0_79 ),
    inference(avatar_split_clause,[],[f1005,f538,f388,f311,f437]) ).

fof(f437,plain,
    ( spl0_58
  <=> c0_1(a294) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f311,plain,
    ( spl0_30
  <=> c2_1(a294) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f538,plain,
    ( spl0_79
  <=> c3_1(a294) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1005,plain,
    ( c2_1(a294)
    | c0_1(a294)
    | ~ spl0_47
    | spl0_79 ),
    inference(resolution,[],[f389,f540]) ).

fof(f540,plain,
    ( ~ c3_1(a294)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f1003,plain,
    ( spl0_47
    | ~ spl0_20
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f996,f342,f267,f388]) ).

fof(f267,plain,
    ( spl0_20
  <=> ! [X6] :
        ( c0_1(X6)
        | ~ c1_1(X6)
        | c2_1(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f342,plain,
    ( spl0_37
  <=> ! [X83] :
        ( c0_1(X83)
        | c3_1(X83)
        | c1_1(X83) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f996,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_20
    | ~ spl0_37 ),
    inference(duplicate_literal_removal,[],[f986]) ).

fof(f986,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_20
    | ~ spl0_37 ),
    inference(resolution,[],[f343,f268]) ).

fof(f268,plain,
    ( ! [X6] :
        ( ~ c1_1(X6)
        | c0_1(X6)
        | c2_1(X6) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f343,plain,
    ( ! [X83] :
        ( c1_1(X83)
        | c3_1(X83)
        | c0_1(X83) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f973,plain,
    ( spl0_23
    | spl0_155
    | ~ spl0_18
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f968,f405,f260,f970,f280]) ).

fof(f968,plain,
    ( c0_1(a321)
    | c1_1(a321)
    | ~ spl0_18
    | ~ spl0_51 ),
    inference(resolution,[],[f261,f407]) ).

fof(f967,plain,
    ( spl0_148
    | ~ spl0_154
    | ~ spl0_17
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f964,f846,f257,f957,f914]) ).

fof(f257,plain,
    ( spl0_17
  <=> ! [X43] :
        ( c1_1(X43)
        | ~ c2_1(X43)
        | ~ c3_1(X43) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f964,plain,
    ( ~ c2_1(a336)
    | c1_1(a336)
    | ~ spl0_17
    | ~ spl0_136 ),
    inference(resolution,[],[f258,f848]) ).

fof(f258,plain,
    ( ! [X43] :
        ( ~ c3_1(X43)
        | c1_1(X43)
        | ~ c2_1(X43) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f966,plain,
    ( ~ spl0_51
    | spl0_23
    | ~ spl0_17
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f963,f730,f257,f280,f405]) ).

fof(f963,plain,
    ( c1_1(a321)
    | ~ c2_1(a321)
    | ~ spl0_17
    | ~ spl0_115 ),
    inference(resolution,[],[f258,f732]) ).

fof(f960,plain,
    ( spl0_148
    | spl0_154
    | ~ spl0_7
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f954,f846,f213,f957,f914]) ).

fof(f954,plain,
    ( c2_1(a336)
    | c1_1(a336)
    | ~ spl0_7
    | ~ spl0_136 ),
    inference(resolution,[],[f214,f848]) ).

fof(f946,plain,
    ( spl0_50
    | spl0_134
    | ~ spl0_3
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f945,f635,f196,f835,f399]) ).

fof(f399,plain,
    ( spl0_50
  <=> c2_1(a349) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f835,plain,
    ( spl0_134
  <=> c3_1(a349) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f196,plain,
    ( spl0_3
  <=> ! [X71] :
        ( c2_1(X71)
        | c3_1(X71)
        | ~ c0_1(X71) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f635,plain,
    ( spl0_98
  <=> c0_1(a349) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f945,plain,
    ( c3_1(a349)
    | c2_1(a349)
    | ~ spl0_3
    | ~ spl0_98 ),
    inference(resolution,[],[f197,f637]) ).

fof(f637,plain,
    ( c0_1(a349)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f197,plain,
    ( ! [X71] :
        ( ~ c0_1(X71)
        | c2_1(X71)
        | c3_1(X71) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f196]) ).

fof(f943,plain,
    ( ~ spl0_62
    | spl0_152 ),
    inference(avatar_split_clause,[],[f83,f940,f455]) ).

fof(f455,plain,
    ( spl0_62
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f83,plain,
    ( c3_1(a299)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( ( ~ c3_1(a338)
        & ~ c2_1(a338)
        & ~ c1_1(a338)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ! [X30] :
          ( ~ c3_1(X30)
          | c1_1(X30)
          | c2_1(X30)
          | ~ ndr1_0 )
      | hskp7
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c0_1(X29)
          | c2_1(X29)
          | ~ c1_1(X29) ) )
    & ( ! [X84] :
          ( ~ ndr1_0
          | c2_1(X84)
          | c0_1(X84)
          | ~ c1_1(X84) )
      | ! [X85] :
          ( ~ c2_1(X85)
          | c3_1(X85)
          | ~ ndr1_0
          | ~ c0_1(X85) )
      | ! [X83] :
          ( c1_1(X83)
          | ~ ndr1_0
          | c0_1(X83)
          | c3_1(X83) ) )
    & ( ~ hskp2
      | ( ~ c0_1(a297)
        & ~ c3_1(a297)
        & ndr1_0
        & c1_1(a297) ) )
    & ( hskp14
      | ! [X40] :
          ( c1_1(X40)
          | ~ ndr1_0
          | c2_1(X40)
          | ~ c0_1(X40) )
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0
          | c2_1(X39) ) )
    & ( ( ~ c3_1(a329)
        & c2_1(a329)
        & ~ c0_1(a329)
        & ndr1_0 )
      | ~ hskp18 )
    & ( hskp3
      | ! [X47] :
          ( ~ c2_1(X47)
          | ~ ndr1_0
          | ~ c3_1(X47)
          | c1_1(X47) )
      | hskp27 )
    & ( hskp24
      | ! [X26] :
          ( ~ c1_1(X26)
          | c3_1(X26)
          | ~ ndr1_0
          | ~ c0_1(X26) )
      | hskp23 )
    & ( ( ~ c2_1(a294)
        & ~ c0_1(a294)
        & ndr1_0
        & ~ c3_1(a294) )
      | ~ hskp0 )
    & ( ! [X27] :
          ( ~ c2_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0
          | c1_1(X27) )
      | hskp4
      | ! [X28] :
          ( ~ c3_1(X28)
          | c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a310)
        & c3_1(a310)
        & ~ c2_1(a310) ) )
    & ( ( c3_1(a299)
        & ~ c2_1(a299)
        & ndr1_0
        & c0_1(a299) )
      | ~ hskp3 )
    & ( hskp21
      | ! [X71] :
          ( ~ c0_1(X71)
          | c3_1(X71)
          | c2_1(X71)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c0_1(a313)
        & c3_1(a313)
        & ~ c1_1(a313) )
      | ~ hskp13 )
    & ( hskp6
      | hskp8
      | ! [X92] :
          ( ~ c2_1(X92)
          | ~ c0_1(X92)
          | ~ ndr1_0
          | ~ c1_1(X92) ) )
    & ( ( ~ c1_1(a321)
        & ndr1_0
        & c3_1(a321)
        & c2_1(a321) )
      | ~ hskp16 )
    & ( ! [X53] :
          ( c2_1(X53)
          | ~ c1_1(X53)
          | c3_1(X53)
          | ~ ndr1_0 )
      | hskp17
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c0_1(X54)
          | c1_1(X54)
          | c3_1(X54) ) )
    & ( ! [X93] :
          ( ~ ndr1_0
          | c1_1(X93)
          | c2_1(X93)
          | ~ c3_1(X93) )
      | hskp16 )
    & ( ! [X1] :
          ( ~ c2_1(X1)
          | ~ c1_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | hskp15
      | hskp25 )
    & ( ( c1_1(a320)
        & ~ c0_1(a320)
        & ndr1_0
        & ~ c2_1(a320) )
      | ~ hskp15 )
    & ( ~ hskp10
      | ( c1_1(a308)
        & ~ c0_1(a308)
        & c3_1(a308)
        & ndr1_0 ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a353)
        & c3_1(a353)
        & c2_1(a353) ) )
    & ( hskp23
      | ! [X88] :
          ( ~ c0_1(X88)
          | ~ c1_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X42] :
          ( ~ ndr1_0
          | ~ c3_1(X42)
          | c2_1(X42)
          | c0_1(X42) )
      | hskp11
      | hskp10 )
    & ( hskp9
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c2_1(X31)
          | ~ c0_1(X31)
          | c3_1(X31) )
      | ! [X32] :
          ( c2_1(X32)
          | ~ ndr1_0
          | ~ c3_1(X32)
          | c0_1(X32) ) )
    & ( ( ~ c1_1(a295)
        & c2_1(a295)
        & ndr1_0
        & c0_1(a295) )
      | ~ hskp1 )
    & ( hskp20
      | ! [X0] :
          ( ~ c0_1(X0)
          | ~ c2_1(X0)
          | c1_1(X0)
          | ~ ndr1_0 )
      | hskp11 )
    & ( hskp17
      | hskp18
      | ! [X80] :
          ( c1_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0
          | ~ c2_1(X80) ) )
    & ( ! [X5] :
          ( c3_1(X5)
          | ~ ndr1_0
          | ~ c0_1(X5)
          | ~ c1_1(X5) )
      | hskp17
      | hskp4 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c0_1(X36)
          | ~ c3_1(X36)
          | c1_1(X36) )
      | hskp5 )
    & ( hskp6
      | hskp15
      | hskp23 )
    & ( ( ~ c0_1(a305)
        & ndr1_0
        & c2_1(a305)
        & ~ c1_1(a305) )
      | ~ hskp8 )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ c0_1(a336)
        & ~ c1_1(a336)
        & c3_1(a336) ) )
    & ( ( ~ c2_1(a342)
        & ndr1_0
        & c3_1(a342)
        & ~ c1_1(a342) )
      | ~ hskp24 )
    & ( ! [X82] :
          ( ~ ndr1_0
          | ~ c2_1(X82)
          | c0_1(X82)
          | ~ c3_1(X82) )
      | hskp14
      | hskp0 )
    & ( ( c0_1(a334)
        & c3_1(a334)
        & c2_1(a334)
        & ndr1_0 )
      | ~ hskp27 )
    & ( hskp13
      | ! [X64] :
          ( c3_1(X64)
          | ~ c0_1(X64)
          | c1_1(X64)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c2_1(X63)
          | ~ ndr1_0
          | c1_1(X63)
          | c3_1(X63) ) )
    & ( ! [X50] :
          ( ~ ndr1_0
          | c3_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50) )
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c1_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c0_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0
          | c2_1(X51) ) )
    & ( ! [X24] :
          ( c0_1(X24)
          | ~ ndr1_0
          | ~ c2_1(X24)
          | ~ c1_1(X24) )
      | ! [X25] :
          ( c3_1(X25)
          | ~ c0_1(X25)
          | ~ ndr1_0
          | c2_1(X25) )
      | hskp12 )
    & ( ~ hskp20
      | ( ~ c3_1(a333)
        & ~ c2_1(a333)
        & c1_1(a333)
        & ndr1_0 ) )
    & ( ( c0_1(a303)
        & ~ c2_1(a303)
        & c1_1(a303)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ! [X59] :
          ( c3_1(X59)
          | ~ ndr1_0
          | c1_1(X59)
          | c2_1(X59) )
      | ! [X57] :
          ( ~ ndr1_0
          | c1_1(X57)
          | c2_1(X57)
          | c0_1(X57) )
      | ! [X58] :
          ( c2_1(X58)
          | ~ c3_1(X58)
          | ~ c1_1(X58)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( ~ c0_1(X52)
          | c1_1(X52)
          | ~ ndr1_0
          | ~ c2_1(X52) )
      | hskp19
      | hskp12 )
    & ( ~ hskp4
      | ( ~ c2_1(a300)
        & ~ c0_1(a300)
        & ~ c1_1(a300)
        & ndr1_0 ) )
    & ( hskp1
      | ! [X44] :
          ( c1_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0
          | c0_1(X44) )
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | ~ c2_1(X43)
          | c1_1(X43) ) )
    & ( ! [X10] :
          ( ~ c2_1(X10)
          | ~ c3_1(X10)
          | ~ c0_1(X10)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ ndr1_0
          | c2_1(X9)
          | ~ c1_1(X9)
          | ~ c3_1(X9) ) )
    & ( hskp1
      | hskp10
      | hskp7 )
    & ( hskp17
      | hskp5
      | hskp24 )
    & ( ~ hskp11
      | ( ~ c2_1(a309)
        & c1_1(a309)
        & ndr1_0
        & c3_1(a309) ) )
    & ( hskp25
      | hskp20
      | hskp12 )
    & ( ! [X34] :
          ( ~ c3_1(X34)
          | ~ c0_1(X34)
          | ~ ndr1_0
          | ~ c1_1(X34) )
      | ! [X33] :
          ( c3_1(X33)
          | ~ ndr1_0
          | ~ c1_1(X33)
          | c2_1(X33) )
      | hskp17 )
    & ( ! [X3] :
          ( c3_1(X3)
          | ~ ndr1_0
          | c0_1(X3)
          | c2_1(X3) )
      | ! [X2] :
          ( ~ c1_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0
          | c0_1(X2) )
      | ! [X4] :
          ( c2_1(X4)
          | c1_1(X4)
          | ~ ndr1_0
          | c0_1(X4) ) )
    & ( ! [X65] :
          ( ~ c1_1(X65)
          | ~ ndr1_0
          | c2_1(X65)
          | c3_1(X65) )
      | hskp22 )
    & ( ( ~ c3_1(a330)
        & ndr1_0
        & c1_1(a330)
        & c2_1(a330) )
      | ~ hskp19 )
    & ( ~ hskp6
      | ( ~ c2_1(a302)
        & c0_1(a302)
        & ~ c1_1(a302)
        & ndr1_0 ) )
    & ( ! [X78] :
          ( ~ c1_1(X78)
          | ~ ndr1_0
          | c3_1(X78)
          | c2_1(X78) )
      | hskp5
      | ! [X79] :
          ( c3_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0
          | c1_1(X79) ) )
    & ( ( c0_1(a349)
        & ~ c3_1(a349)
        & ~ c2_1(a349)
        & ndr1_0 )
      | ~ hskp26 )
    & ( hskp15
      | hskp6
      | ! [X69] :
          ( c1_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0
          | c2_1(X69) ) )
    & ( ! [X60] :
          ( ~ c3_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0
          | ~ c0_1(X60) )
      | ! [X61] :
          ( ~ c1_1(X61)
          | c3_1(X61)
          | c2_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c1_1(X62)
          | ~ ndr1_0
          | c2_1(X62) ) )
    & ( ( ~ c0_1(a341)
        & c2_1(a341)
        & c3_1(a341)
        & ndr1_0 )
      | ~ hskp23 )
    & ( hskp0
      | ! [X23] :
          ( c1_1(X23)
          | c2_1(X23)
          | ~ ndr1_0
          | c0_1(X23) )
      | ! [X22] :
          ( c2_1(X22)
          | ~ c1_1(X22)
          | ~ ndr1_0
          | ~ c0_1(X22) ) )
    & ( ( c1_1(a315)
        & ~ c0_1(a315)
        & c2_1(a315)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ! [X74] :
          ( ~ c1_1(X74)
          | ~ ndr1_0
          | c0_1(X74)
          | c2_1(X74) )
      | hskp4
      | ! [X73] :
          ( c1_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0
          | ~ c0_1(X73) ) )
    & ( ! [X75] :
          ( c1_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0
          | ~ c0_1(X75) )
      | ! [X77] :
          ( ~ c3_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0
          | ~ c1_1(X77) )
      | ! [X76] :
          ( c0_1(X76)
          | c1_1(X76)
          | c2_1(X76)
          | ~ ndr1_0 ) )
    & ( ~ hskp29
      | ( c2_1(a354)
        & c0_1(a354)
        & c1_1(a354)
        & ndr1_0 ) )
    & ( hskp3
      | ! [X14] :
          ( c3_1(X14)
          | ~ ndr1_0
          | ~ c1_1(X14)
          | c2_1(X14) )
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c2_1(X13)
          | c0_1(X13)
          | ~ c3_1(X13) ) )
    & ( ! [X38] :
          ( c2_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0
          | ~ c3_1(X38) )
      | ! [X37] :
          ( c3_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0
          | c0_1(X37) )
      | hskp12 )
    & ( ! [X48] :
          ( ~ c3_1(X48)
          | ~ ndr1_0
          | ~ c0_1(X48)
          | ~ c1_1(X48) )
      | hskp21
      | hskp17 )
    & ( ! [X45] :
          ( ~ c1_1(X45)
          | c2_1(X45)
          | ~ ndr1_0
          | c0_1(X45) )
      | ! [X46] :
          ( c3_1(X46)
          | c0_1(X46)
          | ~ c1_1(X46)
          | ~ ndr1_0 )
      | hskp3 )
    & ( hskp4
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ ndr1_0
          | ~ c3_1(X12)
          | ~ c2_1(X12) )
      | ! [X11] :
          ( ~ c2_1(X11)
          | c3_1(X11)
          | ~ ndr1_0
          | ~ c1_1(X11) ) )
    & ( ~ hskp9
      | ( ~ c1_1(a307)
        & ~ c3_1(a307)
        & c0_1(a307)
        & ndr1_0 ) )
    & ( ! [X21] :
          ( ~ ndr1_0
          | ~ c1_1(X21)
          | c3_1(X21)
          | ~ c0_1(X21) )
      | ! [X20] :
          ( ~ c1_1(X20)
          | c2_1(X20)
          | ~ ndr1_0
          | c0_1(X20) )
      | hskp6 )
    & ( ! [X91] :
          ( c0_1(X91)
          | c3_1(X91)
          | c2_1(X91)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c3_1(X90)
          | ~ c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c3_1(X89)
          | c1_1(X89)
          | ~ ndr1_0
          | c0_1(X89) ) )
    & ( ~ hskp5
      | ( c2_1(a301)
        & ndr1_0
        & ~ c3_1(a301)
        & ~ c1_1(a301) ) )
    & ( ! [X7] :
          ( ~ ndr1_0
          | c3_1(X7)
          | ~ c1_1(X7)
          | ~ c2_1(X7) )
      | ! [X6] :
          ( ~ c1_1(X6)
          | c0_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c2_1(X8)
          | c0_1(X8)
          | ~ ndr1_0
          | c1_1(X8) ) )
    & ( hskp8
      | hskp5
      | ! [X81] :
          ( c0_1(X81)
          | c2_1(X81)
          | ~ c1_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp26
      | hskp11 )
    & ( ! [X86] :
          ( ~ c1_1(X86)
          | c0_1(X86)
          | ~ ndr1_0
          | ~ c2_1(X86) )
      | hskp13
      | ! [X87] :
          ( ~ c1_1(X87)
          | c3_1(X87)
          | ~ c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X72] :
          ( ~ c3_1(X72)
          | ~ c1_1(X72)
          | ~ ndr1_0
          | ~ c2_1(X72) ) )
    & ( hskp2
      | hskp0
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c3_1(X70)
          | c0_1(X70)
          | c1_1(X70) ) )
    & ( ! [X55] :
          ( ~ c2_1(X55)
          | ~ ndr1_0
          | ~ c3_1(X55)
          | ~ c0_1(X55) )
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c2_1(X56)
          | ~ c0_1(X56)
          | c3_1(X56) )
      | hskp11 )
    & ( ! [X41] :
          ( ~ c1_1(X41)
          | ~ ndr1_0
          | c0_1(X41)
          | c2_1(X41) )
      | hskp7
      | hskp4 )
    & ( hskp16
      | hskp26 )
    & ( ! [X66] :
          ( ~ c2_1(X66)
          | c3_1(X66)
          | ~ ndr1_0
          | c1_1(X66) )
      | hskp11
      | hskp16 )
    & ( ! [X18] :
          ( ~ ndr1_0
          | ~ c2_1(X18)
          | c3_1(X18)
          | c0_1(X18) )
      | hskp8
      | ! [X19] :
          ( ~ ndr1_0
          | c3_1(X19)
          | ~ c1_1(X19)
          | ~ c2_1(X19) ) )
    & ( ( ndr1_0
        & c2_1(a323)
        & c0_1(a323)
        & ~ c3_1(a323) )
      | ~ hskp17 )
    & ( hskp29
      | hskp10
      | hskp27 )
    & ( ! [X68] :
          ( ~ c3_1(X68)
          | ~ ndr1_0
          | c2_1(X68)
          | ~ c1_1(X68) )
      | hskp0
      | ! [X67] :
          ( c0_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0
          | c1_1(X67) ) )
    & ( ~ hskp25
      | ( ~ c1_1(a346)
        & ~ c3_1(a346)
        & ~ c0_1(a346)
        & ndr1_0 ) )
    & ( ! [X16] :
          ( ~ ndr1_0
          | c1_1(X16)
          | ~ c3_1(X16)
          | ~ c2_1(X16) )
      | ! [X17] :
          ( ~ ndr1_0
          | c0_1(X17)
          | c2_1(X17)
          | c3_1(X17) )
      | ! [X15] :
          ( c0_1(X15)
          | ~ c1_1(X15)
          | ~ ndr1_0
          | c2_1(X15) ) ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( ! [X52] :
          ( ~ c0_1(X52)
          | c1_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 )
      | hskp12
      | hskp19 )
    & ( hskp22
      | ! [X65] :
          ( c3_1(X65)
          | ~ c1_1(X65)
          | c2_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp26
      | hskp11 )
    & ( hskp21
      | ! [X71] :
          ( ~ c0_1(X71)
          | c2_1(X71)
          | c3_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X4] :
          ( c1_1(X4)
          | c2_1(X4)
          | c0_1(X4)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c0_1(X3)
          | c3_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c0_1(X2)
          | ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( c2_1(X30)
          | ~ c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 )
      | hskp7
      | ! [X29] :
          ( c2_1(X29)
          | ~ c0_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 ) )
    & ( ~ hskp6
      | ( ~ c2_1(a302)
        & c0_1(a302)
        & ~ c1_1(a302)
        & ndr1_0 ) )
    & ( ~ hskp10
      | ( c1_1(a308)
        & ~ c0_1(a308)
        & c3_1(a308)
        & ndr1_0 ) )
    & ( ( ~ c3_1(a329)
        & c2_1(a329)
        & ~ c0_1(a329)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a294)
        & ~ c0_1(a294)
        & ndr1_0
        & ~ c3_1(a294) )
      | ~ hskp0 )
    & ( ! [X72] :
          ( ~ c1_1(X72)
          | ~ c3_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ( c1_1(a320)
        & ~ c0_1(a320)
        & ndr1_0
        & ~ c2_1(a320) )
      | ~ hskp15 )
    & ( ~ hskp20
      | ( ~ c3_1(a333)
        & ~ c2_1(a333)
        & c1_1(a333)
        & ndr1_0 ) )
    & ( ( c0_1(a303)
        & ~ c2_1(a303)
        & c1_1(a303)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ndr1_0
        & c2_1(a323)
        & c0_1(a323)
        & ~ c3_1(a323) )
      | ~ hskp17 )
    & ( ! [X75] :
          ( ~ c2_1(X75)
          | c1_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c0_1(X76)
          | c1_1(X76)
          | c2_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c0_1(X77)
          | ~ c1_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( c2_1(X6)
          | c0_1(X6)
          | ~ c1_1(X6)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c3_1(X7)
          | ~ c1_1(X7)
          | ~ c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X24] :
          ( ~ c1_1(X24)
          | c0_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c3_1(X25)
          | ~ c0_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( ~ c1_1(X86)
          | c0_1(X86)
          | ~ c2_1(X86)
          | ~ ndr1_0 )
      | hskp13
      | ! [X87] :
          ( c3_1(X87)
          | ~ c0_1(X87)
          | ~ c1_1(X87)
          | ~ ndr1_0 ) )
    & ( ( c0_1(a349)
        & ~ c3_1(a349)
        & ~ c2_1(a349)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a330)
        & ndr1_0
        & c1_1(a330)
        & c2_1(a330) )
      | ~ hskp19 )
    & ( ~ hskp29
      | ( c2_1(a354)
        & c0_1(a354)
        & c1_1(a354)
        & ndr1_0 ) )
    & ( hskp20
      | ! [X0] :
          ( ~ c0_1(X0)
          | ~ c2_1(X0)
          | c1_1(X0)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X70] :
          ( ~ c3_1(X70)
          | c1_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 )
      | hskp2
      | hskp0 )
    & ( hskp16
      | hskp26 )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a353)
        & c3_1(a353)
        & c2_1(a353) ) )
    & ( ! [X45] :
          ( c0_1(X45)
          | c2_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c3_1(X46)
          | ~ c1_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X93] :
          ( c1_1(X93)
          | c2_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ~ hskp9
      | ( ~ c1_1(a307)
        & ~ c3_1(a307)
        & c0_1(a307)
        & ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c2_1(X66)
          | c3_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | hskp16
      | hskp11 )
    & ( hskp25
      | hskp20
      | hskp12 )
    & ( ! [X33] :
          ( ~ c1_1(X33)
          | c2_1(X33)
          | c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c1_1(X34)
          | ~ c0_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ( ~ c0_1(a305)
        & ndr1_0
        & c2_1(a305)
        & ~ c1_1(a305) )
      | ~ hskp8 )
    & ( ! [X13] :
          ( ~ c3_1(X13)
          | c0_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 )
      | hskp3
      | ! [X14] :
          ( c3_1(X14)
          | ~ c1_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c0_1(a313)
        & c3_1(a313)
        & ~ c1_1(a313) )
      | ~ hskp13 )
    & ( hskp9
      | ! [X31] :
          ( c3_1(X31)
          | ~ c2_1(X31)
          | ~ c0_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c3_1(X32)
          | c0_1(X32)
          | c2_1(X32)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( c0_1(X35)
          | ~ c1_1(X35)
          | c2_1(X35)
          | ~ ndr1_0 )
      | hskp5
      | ! [X36] :
          ( ~ c3_1(X36)
          | c1_1(X36)
          | ~ c0_1(X36)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a299)
        & ~ c2_1(a299)
        & ndr1_0
        & c0_1(a299) )
      | ~ hskp3 )
    & ( ( ~ c1_1(a321)
        & ndr1_0
        & c3_1(a321)
        & c2_1(a321) )
      | ~ hskp16 )
    & ( ~ hskp5
      | ( c2_1(a301)
        & ndr1_0
        & ~ c3_1(a301)
        & ~ c1_1(a301) ) )
    & ( ! [X28] :
          ( ~ c3_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 )
      | hskp4
      | ! [X27] :
          ( ~ c2_1(X27)
          | c1_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp5
      | ! [X81] :
          ( c0_1(X81)
          | ~ c1_1(X81)
          | c2_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( c0_1(X89)
          | c1_1(X89)
          | c3_1(X89)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c2_1(X91)
          | c0_1(X91)
          | c3_1(X91)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c2_1(X90)
          | c0_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X38] :
          ( c2_1(X38)
          | ~ c3_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | hskp12
      | ! [X37] :
          ( ~ c1_1(X37)
          | c3_1(X37)
          | c0_1(X37)
          | ~ ndr1_0 ) )
    & ( ! [X50] :
          ( c3_1(X50)
          | c0_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c1_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c1_1(X51)
          | c0_1(X51)
          | c2_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp6
      | ! [X69] :
          ( ~ c3_1(X69)
          | c1_1(X69)
          | c2_1(X69)
          | ~ ndr1_0 ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a310)
        & c3_1(a310)
        & ~ c2_1(a310) ) )
    & ( ( c1_1(a315)
        & ~ c0_1(a315)
        & c2_1(a315)
        & ndr1_0 )
      | ~ hskp14 )
    & ( hskp11
      | hskp10
      | ! [X42] :
          ( c2_1(X42)
          | ~ c3_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( ~ c0_1(X64)
          | c1_1(X64)
          | c3_1(X64)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c3_1(X63)
          | ~ c2_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X78] :
          ( c3_1(X78)
          | ~ c1_1(X78)
          | c2_1(X78)
          | ~ ndr1_0 )
      | hskp5
      | ! [X79] :
          ( c1_1(X79)
          | c3_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X16] :
          ( ~ c3_1(X16)
          | c1_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c0_1(X15)
          | ~ c1_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c2_1(X17)
          | c3_1(X17)
          | c0_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X5] :
          ( ~ c1_1(X5)
          | c3_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 )
      | hskp4 )
    & ( hskp29
      | hskp10
      | hskp27 )
    & ( ! [X84] :
          ( c0_1(X84)
          | c2_1(X84)
          | ~ c1_1(X84)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c1_1(X83)
          | c0_1(X83)
          | c3_1(X83)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c3_1(X85)
          | ~ c0_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp15
      | hskp23 )
    & ( ! [X56] :
          ( ~ c0_1(X56)
          | c3_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | hskp11
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X44] :
          ( c1_1(X44)
          | ~ c2_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c2_1(X43)
          | c1_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp10
      | hskp7 )
    & ( hskp4
      | ! [X74] :
          ( c0_1(X74)
          | ~ c1_1(X74)
          | c2_1(X74)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c2_1(X73)
          | c1_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 ) )
    & ( ~ hskp11
      | ( ~ c2_1(a309)
        & c1_1(a309)
        & ndr1_0
        & c3_1(a309) ) )
    & ( ! [X10] :
          ( ~ c2_1(X10)
          | ~ c3_1(X10)
          | ~ c0_1(X10)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c1_1(X9)
          | ~ c3_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp5
      | hskp24 )
    & ( hskp4
      | ! [X11] :
          ( ~ c2_1(X11)
          | c3_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c2_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0 ) )
    & ( ! [X39] :
          ( c2_1(X39)
          | ~ c1_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X58] :
          ( ~ c3_1(X58)
          | ~ c1_1(X58)
          | c2_1(X58)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c0_1(X57)
          | c2_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c2_1(X59)
          | c1_1(X59)
          | c3_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X92] :
          ( ~ c2_1(X92)
          | ~ c0_1(X92)
          | ~ c1_1(X92)
          | ~ ndr1_0 )
      | hskp8
      | hskp6 )
    & ( hskp21
      | ! [X48] :
          ( ~ c1_1(X48)
          | ~ c3_1(X48)
          | ~ c0_1(X48)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ( ~ c0_1(a341)
        & c2_1(a341)
        & c3_1(a341)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a295)
        & c2_1(a295)
        & ndr1_0
        & c0_1(a295) )
      | ~ hskp1 )
    & ( ~ hskp25
      | ( ~ c1_1(a346)
        & ~ c3_1(a346)
        & ~ c0_1(a346)
        & ndr1_0 ) )
    & ( hskp6
      | ! [X21] :
          ( c3_1(X21)
          | ~ c0_1(X21)
          | ~ c1_1(X21)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c2_1(X20)
          | c0_1(X20)
          | ~ c1_1(X20)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( c2_1(X23)
          | c1_1(X23)
          | c0_1(X23)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c2_1(X22)
          | ~ c1_1(X22)
          | ~ c0_1(X22)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X82] :
          ( ~ c3_1(X82)
          | ~ c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 )
      | hskp14
      | hskp0 )
    & ( ! [X54] :
          ( c3_1(X54)
          | c1_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c1_1(X53)
          | c3_1(X53)
          | c2_1(X53)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ( c0_1(a334)
        & c3_1(a334)
        & c2_1(a334)
        & ndr1_0 )
      | ~ hskp27 )
    & ( hskp26
      | hskp23
      | ! [X88] :
          ( ~ c2_1(X88)
          | ~ c1_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 ) )
    & ( ! [X26] :
          ( c3_1(X26)
          | ~ c0_1(X26)
          | ~ c1_1(X26)
          | ~ ndr1_0 )
      | hskp24
      | hskp23 )
    & ( hskp18
      | ! [X80] :
          ( c1_1(X80)
          | ~ c0_1(X80)
          | ~ c2_1(X80)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ c0_1(a336)
        & ~ c1_1(a336)
        & c3_1(a336) ) )
    & ( ! [X67] :
          ( c1_1(X67)
          | c0_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | hskp0
      | ! [X68] :
          ( c2_1(X68)
          | ~ c1_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 ) )
    & ( ( ~ c3_1(a338)
        & ~ c2_1(a338)
        & ~ c1_1(a338)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ~ hskp2
      | ( ~ c0_1(a297)
        & ~ c3_1(a297)
        & ndr1_0
        & c1_1(a297) ) )
    & ( ! [X60] :
          ( ~ c1_1(X60)
          | ~ c0_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c2_1(X61)
          | ~ c1_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c1_1(X62)
          | ~ c3_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X18] :
          ( c3_1(X18)
          | ~ c2_1(X18)
          | c0_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c2_1(X19)
          | c3_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 ) )
    & ( ( ~ c2_1(a342)
        & ndr1_0
        & c3_1(a342)
        & ~ c1_1(a342) )
      | ~ hskp24 )
    & ( hskp3
      | ! [X47] :
          ( c1_1(X47)
          | ~ c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | hskp27 )
    & ( hskp25
      | hskp15
      | ! [X1] :
          ( c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( ~ hskp4
      | ( ~ c2_1(a300)
        & ~ c0_1(a300)
        & ~ c1_1(a300)
        & ndr1_0 ) )
    & ( hskp7
      | ! [X41] :
          ( ~ c1_1(X41)
          | c2_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 )
      | hskp4 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( ! [X52] :
          ( ndr1_0
         => ( ~ c0_1(X52)
            | c1_1(X52)
            | ~ c2_1(X52) ) )
      | hskp12
      | hskp19 )
    & ( hskp22
      | ! [X65] :
          ( ndr1_0
         => ( c3_1(X65)
            | ~ c1_1(X65)
            | c2_1(X65) ) ) )
    & ( hskp12
      | hskp26
      | hskp11 )
    & ( hskp21
      | ! [X71] :
          ( ndr1_0
         => ( ~ c0_1(X71)
            | c2_1(X71)
            | c3_1(X71) ) ) )
    & ( ! [X4] :
          ( ndr1_0
         => ( c1_1(X4)
            | c2_1(X4)
            | c0_1(X4) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c3_1(X3)
            | c2_1(X3) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | ~ c2_1(X2)
            | ~ c1_1(X2) ) ) )
    & ( ! [X30] :
          ( ndr1_0
         => ( c2_1(X30)
            | ~ c3_1(X30)
            | c1_1(X30) ) )
      | hskp7
      | ! [X29] :
          ( ndr1_0
         => ( c2_1(X29)
            | ~ c0_1(X29)
            | ~ c1_1(X29) ) ) )
    & ( ~ hskp6
      | ( ~ c2_1(a302)
        & c0_1(a302)
        & ~ c1_1(a302)
        & ndr1_0 ) )
    & ( ~ hskp10
      | ( c1_1(a308)
        & ~ c0_1(a308)
        & c3_1(a308)
        & ndr1_0 ) )
    & ( ( ~ c3_1(a329)
        & c2_1(a329)
        & ~ c0_1(a329)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a294)
        & ~ c0_1(a294)
        & ndr1_0
        & ~ c3_1(a294) )
      | ~ hskp0 )
    & ( ! [X72] :
          ( ndr1_0
         => ( ~ c1_1(X72)
            | ~ c3_1(X72)
            | ~ c2_1(X72) ) )
      | hskp28 )
    & ( ( c1_1(a320)
        & ~ c0_1(a320)
        & ndr1_0
        & ~ c2_1(a320) )
      | ~ hskp15 )
    & ( ~ hskp20
      | ( ~ c3_1(a333)
        & ~ c2_1(a333)
        & c1_1(a333)
        & ndr1_0 ) )
    & ( ( c0_1(a303)
        & ~ c2_1(a303)
        & c1_1(a303)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ndr1_0
        & c2_1(a323)
        & c0_1(a323)
        & ~ c3_1(a323) )
      | ~ hskp17 )
    & ( ! [X75] :
          ( ndr1_0
         => ( ~ c2_1(X75)
            | c1_1(X75)
            | ~ c0_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( c0_1(X76)
            | c1_1(X76)
            | c2_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c0_1(X77)
            | ~ c1_1(X77)
            | ~ c3_1(X77) ) ) )
    & ( ! [X6] :
          ( ndr1_0
         => ( c2_1(X6)
            | c0_1(X6)
            | ~ c1_1(X6) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | c1_1(X8)
            | ~ c2_1(X8) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c3_1(X7)
            | ~ c1_1(X7)
            | ~ c2_1(X7) ) ) )
    & ( hskp12
      | ! [X24] :
          ( ndr1_0
         => ( ~ c1_1(X24)
            | c0_1(X24)
            | ~ c2_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c3_1(X25)
            | ~ c0_1(X25)
            | c2_1(X25) ) ) )
    & ( ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | c0_1(X86)
            | ~ c2_1(X86) ) )
      | hskp13
      | ! [X87] :
          ( ndr1_0
         => ( c3_1(X87)
            | ~ c0_1(X87)
            | ~ c1_1(X87) ) ) )
    & ( ( c0_1(a349)
        & ~ c3_1(a349)
        & ~ c2_1(a349)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a330)
        & ndr1_0
        & c1_1(a330)
        & c2_1(a330) )
      | ~ hskp19 )
    & ( ~ hskp29
      | ( c2_1(a354)
        & c0_1(a354)
        & c1_1(a354)
        & ndr1_0 ) )
    & ( hskp20
      | ! [X0] :
          ( ndr1_0
         => ( ~ c0_1(X0)
            | ~ c2_1(X0)
            | c1_1(X0) ) )
      | hskp11 )
    & ( ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | c1_1(X70)
            | c0_1(X70) ) )
      | hskp2
      | hskp0 )
    & ( hskp16
      | hskp26 )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a353)
        & c3_1(a353)
        & c2_1(a353) ) )
    & ( ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | c2_1(X45)
            | ~ c1_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c3_1(X46)
            | ~ c1_1(X46)
            | c0_1(X46) ) )
      | hskp3 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c1_1(X93)
            | c2_1(X93)
            | ~ c3_1(X93) ) )
      | hskp16 )
    & ( ~ hskp9
      | ( ~ c1_1(a307)
        & ~ c3_1(a307)
        & c0_1(a307)
        & ndr1_0 ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( ~ c2_1(X66)
            | c3_1(X66)
            | c1_1(X66) ) )
      | hskp16
      | hskp11 )
    & ( hskp25
      | hskp20
      | hskp12 )
    & ( ! [X33] :
          ( ndr1_0
         => ( ~ c1_1(X33)
            | c2_1(X33)
            | c3_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c1_1(X34)
            | ~ c0_1(X34)
            | ~ c3_1(X34) ) )
      | hskp17 )
    & ( ( ~ c0_1(a305)
        & ndr1_0
        & c2_1(a305)
        & ~ c1_1(a305) )
      | ~ hskp8 )
    & ( ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | c0_1(X13)
            | ~ c2_1(X13) ) )
      | hskp3
      | ! [X14] :
          ( ndr1_0
         => ( c3_1(X14)
            | ~ c1_1(X14)
            | c2_1(X14) ) ) )
    & ( ( ndr1_0
        & c0_1(a313)
        & c3_1(a313)
        & ~ c1_1(a313) )
      | ~ hskp13 )
    & ( hskp9
      | ! [X31] :
          ( ndr1_0
         => ( c3_1(X31)
            | ~ c2_1(X31)
            | ~ c0_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | c0_1(X32)
            | c2_1(X32) ) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | ~ c1_1(X35)
            | c2_1(X35) ) )
      | hskp5
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | c1_1(X36)
            | ~ c0_1(X36) ) ) )
    & ( ( c3_1(a299)
        & ~ c2_1(a299)
        & ndr1_0
        & c0_1(a299) )
      | ~ hskp3 )
    & ( ( ~ c1_1(a321)
        & ndr1_0
        & c3_1(a321)
        & c2_1(a321) )
      | ~ hskp16 )
    & ( ~ hskp5
      | ( c2_1(a301)
        & ndr1_0
        & ~ c3_1(a301)
        & ~ c1_1(a301) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c0_1(X28)
            | c1_1(X28) ) )
      | hskp4
      | ! [X27] :
          ( ndr1_0
         => ( ~ c2_1(X27)
            | c1_1(X27)
            | ~ c0_1(X27) ) ) )
    & ( hskp8
      | hskp5
      | ! [X81] :
          ( ndr1_0
         => ( c0_1(X81)
            | ~ c1_1(X81)
            | c2_1(X81) ) ) )
    & ( ! [X89] :
          ( ndr1_0
         => ( c0_1(X89)
            | c1_1(X89)
            | c3_1(X89) ) )
      | ! [X91] :
          ( ndr1_0
         => ( c2_1(X91)
            | c0_1(X91)
            | c3_1(X91) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c2_1(X90)
            | c0_1(X90)
            | ~ c3_1(X90) ) ) )
    & ( ! [X38] :
          ( ndr1_0
         => ( c2_1(X38)
            | ~ c3_1(X38)
            | ~ c1_1(X38) ) )
      | hskp12
      | ! [X37] :
          ( ndr1_0
         => ( ~ c1_1(X37)
            | c3_1(X37)
            | c0_1(X37) ) ) )
    & ( ! [X50] :
          ( ndr1_0
         => ( c3_1(X50)
            | c0_1(X50)
            | ~ c1_1(X50) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c1_1(X49)
            | c0_1(X49) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c1_1(X51)
            | c0_1(X51)
            | c2_1(X51) ) ) )
    & ( hskp15
      | hskp6
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | c1_1(X69)
            | c2_1(X69) ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a310)
        & c3_1(a310)
        & ~ c2_1(a310) ) )
    & ( ( c1_1(a315)
        & ~ c0_1(a315)
        & c2_1(a315)
        & ndr1_0 )
      | ~ hskp14 )
    & ( hskp11
      | hskp10
      | ! [X42] :
          ( ndr1_0
         => ( c2_1(X42)
            | ~ c3_1(X42)
            | c0_1(X42) ) ) )
    & ( ! [X64] :
          ( ndr1_0
         => ( ~ c0_1(X64)
            | c1_1(X64)
            | c3_1(X64) ) )
      | ! [X63] :
          ( ndr1_0
         => ( c3_1(X63)
            | ~ c2_1(X63)
            | c1_1(X63) ) )
      | hskp13 )
    & ( ! [X78] :
          ( ndr1_0
         => ( c3_1(X78)
            | ~ c1_1(X78)
            | c2_1(X78) ) )
      | hskp5
      | ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | c3_1(X79)
            | ~ c2_1(X79) ) ) )
    & ( ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | c1_1(X16)
            | ~ c2_1(X16) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | ~ c1_1(X15)
            | c2_1(X15) ) )
      | ! [X17] :
          ( ndr1_0
         => ( c2_1(X17)
            | c3_1(X17)
            | c0_1(X17) ) ) )
    & ( hskp17
      | ! [X5] :
          ( ndr1_0
         => ( ~ c1_1(X5)
            | c3_1(X5)
            | ~ c0_1(X5) ) )
      | hskp4 )
    & ( hskp29
      | hskp10
      | hskp27 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c0_1(X84)
            | c2_1(X84)
            | ~ c1_1(X84) ) )
      | ! [X83] :
          ( ndr1_0
         => ( c1_1(X83)
            | c0_1(X83)
            | c3_1(X83) ) )
      | ! [X85] :
          ( ndr1_0
         => ( c3_1(X85)
            | ~ c0_1(X85)
            | ~ c2_1(X85) ) ) )
    & ( hskp6
      | hskp15
      | hskp23 )
    & ( ! [X56] :
          ( ndr1_0
         => ( ~ c0_1(X56)
            | c3_1(X56)
            | ~ c2_1(X56) ) )
      | hskp11
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c2_1(X55)
            | ~ c0_1(X55) ) ) )
    & ( hskp1
      | ! [X44] :
          ( ndr1_0
         => ( c1_1(X44)
            | ~ c2_1(X44)
            | c0_1(X44) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c2_1(X43)
            | c1_1(X43)
            | ~ c3_1(X43) ) ) )
    & ( hskp1
      | hskp10
      | hskp7 )
    & ( hskp4
      | ! [X74] :
          ( ndr1_0
         => ( c0_1(X74)
            | ~ c1_1(X74)
            | c2_1(X74) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c2_1(X73)
            | c1_1(X73)
            | ~ c0_1(X73) ) ) )
    & ( ~ hskp11
      | ( ~ c2_1(a309)
        & c1_1(a309)
        & ndr1_0
        & c3_1(a309) ) )
    & ( ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c3_1(X10)
            | ~ c0_1(X10) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c1_1(X9)
            | ~ c3_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp17
      | hskp5
      | hskp24 )
    & ( hskp4
      | ! [X11] :
          ( ndr1_0
         => ( ~ c2_1(X11)
            | c3_1(X11)
            | ~ c1_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c1_1(X12)
            | ~ c2_1(X12)
            | ~ c3_1(X12) ) ) )
    & ( ! [X39] :
          ( ndr1_0
         => ( c2_1(X39)
            | ~ c1_1(X39)
            | ~ c3_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c0_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) )
      | hskp14 )
    & ( ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c1_1(X58)
            | c2_1(X58) ) )
      | ! [X57] :
          ( ndr1_0
         => ( c0_1(X57)
            | c2_1(X57)
            | c1_1(X57) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c2_1(X59)
            | c1_1(X59)
            | c3_1(X59) ) ) )
    & ( ! [X92] :
          ( ndr1_0
         => ( ~ c2_1(X92)
            | ~ c0_1(X92)
            | ~ c1_1(X92) ) )
      | hskp8
      | hskp6 )
    & ( hskp21
      | ! [X48] :
          ( ndr1_0
         => ( ~ c1_1(X48)
            | ~ c3_1(X48)
            | ~ c0_1(X48) ) )
      | hskp17 )
    & ( ( ~ c0_1(a341)
        & c2_1(a341)
        & c3_1(a341)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a295)
        & c2_1(a295)
        & ndr1_0
        & c0_1(a295) )
      | ~ hskp1 )
    & ( ~ hskp25
      | ( ~ c1_1(a346)
        & ~ c3_1(a346)
        & ~ c0_1(a346)
        & ndr1_0 ) )
    & ( hskp6
      | ! [X21] :
          ( ndr1_0
         => ( c3_1(X21)
            | ~ c0_1(X21)
            | ~ c1_1(X21) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c2_1(X20)
            | c0_1(X20)
            | ~ c1_1(X20) ) ) )
    & ( ! [X23] :
          ( ndr1_0
         => ( c2_1(X23)
            | c1_1(X23)
            | c0_1(X23) ) )
      | ! [X22] :
          ( ndr1_0
         => ( c2_1(X22)
            | ~ c1_1(X22)
            | ~ c0_1(X22) ) )
      | hskp0 )
    & ( ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | ~ c2_1(X82)
            | c0_1(X82) ) )
      | hskp14
      | hskp0 )
    & ( ! [X54] :
          ( ndr1_0
         => ( c3_1(X54)
            | c1_1(X54)
            | ~ c0_1(X54) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c1_1(X53)
            | c3_1(X53)
            | c2_1(X53) ) )
      | hskp17 )
    & ( ( c0_1(a334)
        & c3_1(a334)
        & c2_1(a334)
        & ndr1_0 )
      | ~ hskp27 )
    & ( hskp26
      | hskp23
      | ! [X88] :
          ( ndr1_0
         => ( ~ c2_1(X88)
            | ~ c1_1(X88)
            | ~ c0_1(X88) ) ) )
    & ( ! [X26] :
          ( ndr1_0
         => ( c3_1(X26)
            | ~ c0_1(X26)
            | ~ c1_1(X26) ) )
      | hskp24
      | hskp23 )
    & ( hskp18
      | ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | ~ c0_1(X80)
            | ~ c2_1(X80) ) )
      | hskp17 )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ c0_1(a336)
        & ~ c1_1(a336)
        & c3_1(a336) ) )
    & ( ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | c0_1(X67)
            | ~ c3_1(X67) ) )
      | hskp0
      | ! [X68] :
          ( ndr1_0
         => ( c2_1(X68)
            | ~ c1_1(X68)
            | ~ c3_1(X68) ) ) )
    & ( ( ~ c3_1(a338)
        & ~ c2_1(a338)
        & ~ c1_1(a338)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ~ hskp2
      | ( ~ c0_1(a297)
        & ~ c3_1(a297)
        & ndr1_0
        & c1_1(a297) ) )
    & ( ! [X60] :
          ( ndr1_0
         => ( ~ c1_1(X60)
            | ~ c0_1(X60)
            | ~ c3_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c2_1(X61)
            | ~ c1_1(X61)
            | c3_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c1_1(X62)
            | ~ c3_1(X62)
            | c2_1(X62) ) ) )
    & ( hskp8
      | ! [X18] :
          ( ndr1_0
         => ( c3_1(X18)
            | ~ c2_1(X18)
            | c0_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | c3_1(X19)
            | ~ c1_1(X19) ) ) )
    & ( ( ~ c2_1(a342)
        & ndr1_0
        & c3_1(a342)
        & ~ c1_1(a342) )
      | ~ hskp24 )
    & ( hskp3
      | ! [X47] :
          ( ndr1_0
         => ( c1_1(X47)
            | ~ c2_1(X47)
            | ~ c3_1(X47) ) )
      | hskp27 )
    & ( hskp25
      | hskp15
      | ! [X1] :
          ( ndr1_0
         => ( c3_1(X1)
            | ~ c2_1(X1)
            | ~ c1_1(X1) ) ) )
    & ( ~ hskp4
      | ( ~ c2_1(a300)
        & ~ c0_1(a300)
        & ~ c1_1(a300)
        & ndr1_0 ) )
    & ( hskp7
      | ! [X41] :
          ( ndr1_0
         => ( ~ c1_1(X41)
            | c2_1(X41)
            | c0_1(X41) ) )
      | hskp4 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( ! [X52] :
              ( ndr1_0
             => ( ~ c0_1(X52)
                | c1_1(X52)
                | ~ c2_1(X52) ) )
          | hskp12
          | hskp19 )
        & ( hskp22
          | ! [X65] :
              ( ndr1_0
             => ( c3_1(X65)
                | ~ c1_1(X65)
                | c2_1(X65) ) ) )
        & ( hskp12
          | hskp26
          | hskp11 )
        & ( hskp21
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c2_1(X71)
                | c3_1(X71) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( c1_1(X4)
                | c2_1(X4)
                | c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c3_1(X3)
                | c2_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | ~ c2_1(X2)
                | ~ c1_1(X2) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( c2_1(X30)
                | ~ c3_1(X30)
                | c1_1(X30) ) )
          | hskp7
          | ! [X29] :
              ( ndr1_0
             => ( c2_1(X29)
                | ~ c0_1(X29)
                | ~ c1_1(X29) ) ) )
        & ( ~ hskp6
          | ( ~ c2_1(a302)
            & c0_1(a302)
            & ~ c1_1(a302)
            & ndr1_0 ) )
        & ( ~ hskp10
          | ( c1_1(a308)
            & ~ c0_1(a308)
            & c3_1(a308)
            & ndr1_0 ) )
        & ( ( ~ c3_1(a329)
            & c2_1(a329)
            & ~ c0_1(a329)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a294)
            & ~ c0_1(a294)
            & ndr1_0
            & ~ c3_1(a294) )
          | ~ hskp0 )
        & ( ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | ~ c3_1(X72)
                | ~ c2_1(X72) ) )
          | hskp28 )
        & ( ( c1_1(a320)
            & ~ c0_1(a320)
            & ndr1_0
            & ~ c2_1(a320) )
          | ~ hskp15 )
        & ( ~ hskp20
          | ( ~ c3_1(a333)
            & ~ c2_1(a333)
            & c1_1(a333)
            & ndr1_0 ) )
        & ( ( c0_1(a303)
            & ~ c2_1(a303)
            & c1_1(a303)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ndr1_0
            & c2_1(a323)
            & c0_1(a323)
            & ~ c3_1(a323) )
          | ~ hskp17 )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | c1_1(X75)
                | ~ c0_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c0_1(X76)
                | c1_1(X76)
                | c2_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | ~ c1_1(X77)
                | ~ c3_1(X77) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c0_1(X6)
                | ~ c1_1(X6) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | ~ c2_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | ~ c1_1(X7)
                | ~ c2_1(X7) ) ) )
        & ( hskp12
          | ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | c0_1(X24)
                | ~ c2_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | ~ c0_1(X25)
                | c2_1(X25) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c0_1(X86)
                | ~ c2_1(X86) ) )
          | hskp13
          | ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | ~ c0_1(X87)
                | ~ c1_1(X87) ) ) )
        & ( ( c0_1(a349)
            & ~ c3_1(a349)
            & ~ c2_1(a349)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a330)
            & ndr1_0
            & c1_1(a330)
            & c2_1(a330) )
          | ~ hskp19 )
        & ( ~ hskp29
          | ( c2_1(a354)
            & c0_1(a354)
            & c1_1(a354)
            & ndr1_0 ) )
        & ( hskp20
          | ! [X0] :
              ( ndr1_0
             => ( ~ c0_1(X0)
                | ~ c2_1(X0)
                | c1_1(X0) ) )
          | hskp11 )
        & ( ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | c1_1(X70)
                | c0_1(X70) ) )
          | hskp2
          | hskp0 )
        & ( hskp16
          | hskp26 )
        & ( ~ hskp28
          | ( ndr1_0
            & c1_1(a353)
            & c3_1(a353)
            & c2_1(a353) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c2_1(X45)
                | ~ c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c3_1(X46)
                | ~ c1_1(X46)
                | c0_1(X46) ) )
          | hskp3 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c1_1(X93)
                | c2_1(X93)
                | ~ c3_1(X93) ) )
          | hskp16 )
        & ( ~ hskp9
          | ( ~ c1_1(a307)
            & ~ c3_1(a307)
            & c0_1(a307)
            & ndr1_0 ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | c3_1(X66)
                | c1_1(X66) ) )
          | hskp16
          | hskp11 )
        & ( hskp25
          | hskp20
          | hskp12 )
        & ( ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c2_1(X33)
                | c3_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | ~ c0_1(X34)
                | ~ c3_1(X34) ) )
          | hskp17 )
        & ( ( ~ c0_1(a305)
            & ndr1_0
            & c2_1(a305)
            & ~ c1_1(a305) )
          | ~ hskp8 )
        & ( ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | c0_1(X13)
                | ~ c2_1(X13) ) )
          | hskp3
          | ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | ~ c1_1(X14)
                | c2_1(X14) ) ) )
        & ( ( ndr1_0
            & c0_1(a313)
            & c3_1(a313)
            & ~ c1_1(a313) )
          | ~ hskp13 )
        & ( hskp9
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | ~ c2_1(X31)
                | ~ c0_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | c0_1(X32)
                | c2_1(X32) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | ~ c1_1(X35)
                | c2_1(X35) ) )
          | hskp5
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c1_1(X36)
                | ~ c0_1(X36) ) ) )
        & ( ( c3_1(a299)
            & ~ c2_1(a299)
            & ndr1_0
            & c0_1(a299) )
          | ~ hskp3 )
        & ( ( ~ c1_1(a321)
            & ndr1_0
            & c3_1(a321)
            & c2_1(a321) )
          | ~ hskp16 )
        & ( ~ hskp5
          | ( c2_1(a301)
            & ndr1_0
            & ~ c3_1(a301)
            & ~ c1_1(a301) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c0_1(X28)
                | c1_1(X28) ) )
          | hskp4
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | c1_1(X27)
                | ~ c0_1(X27) ) ) )
        & ( hskp8
          | hskp5
          | ! [X81] :
              ( ndr1_0
             => ( c0_1(X81)
                | ~ c1_1(X81)
                | c2_1(X81) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( c0_1(X89)
                | c1_1(X89)
                | c3_1(X89) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | c0_1(X91)
                | c3_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | c0_1(X90)
                | ~ c3_1(X90) ) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( c2_1(X38)
                | ~ c3_1(X38)
                | ~ c1_1(X38) ) )
          | hskp12
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | c3_1(X37)
                | c0_1(X37) ) ) )
        & ( ! [X50] :
              ( ndr1_0
             => ( c3_1(X50)
                | c0_1(X50)
                | ~ c1_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c1_1(X49)
                | c0_1(X49) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | c0_1(X51)
                | c2_1(X51) ) ) )
        & ( hskp15
          | hskp6
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | c1_1(X69)
                | c2_1(X69) ) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & ~ c0_1(a310)
            & c3_1(a310)
            & ~ c2_1(a310) ) )
        & ( ( c1_1(a315)
            & ~ c0_1(a315)
            & c2_1(a315)
            & ndr1_0 )
          | ~ hskp14 )
        & ( hskp11
          | hskp10
          | ! [X42] :
              ( ndr1_0
             => ( c2_1(X42)
                | ~ c3_1(X42)
                | c0_1(X42) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | c1_1(X64)
                | c3_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c3_1(X63)
                | ~ c2_1(X63)
                | c1_1(X63) ) )
          | hskp13 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c3_1(X78)
                | ~ c1_1(X78)
                | c2_1(X78) ) )
          | hskp5
          | ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c3_1(X79)
                | ~ c2_1(X79) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | c1_1(X16)
                | ~ c2_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | ~ c1_1(X15)
                | c2_1(X15) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c2_1(X17)
                | c3_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp17
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | c3_1(X5)
                | ~ c0_1(X5) ) )
          | hskp4 )
        & ( hskp29
          | hskp10
          | hskp27 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c0_1(X84)
                | c2_1(X84)
                | ~ c1_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | c0_1(X83)
                | c3_1(X83) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | ~ c0_1(X85)
                | ~ c2_1(X85) ) ) )
        & ( hskp6
          | hskp15
          | hskp23 )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c0_1(X56)
                | c3_1(X56)
                | ~ c2_1(X56) ) )
          | hskp11
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | ~ c0_1(X55) ) ) )
        & ( hskp1
          | ! [X44] :
              ( ndr1_0
             => ( c1_1(X44)
                | ~ c2_1(X44)
                | c0_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | c1_1(X43)
                | ~ c3_1(X43) ) ) )
        & ( hskp1
          | hskp10
          | hskp7 )
        & ( hskp4
          | ! [X74] :
              ( ndr1_0
             => ( c0_1(X74)
                | ~ c1_1(X74)
                | c2_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | c1_1(X73)
                | ~ c0_1(X73) ) ) )
        & ( ~ hskp11
          | ( ~ c2_1(a309)
            & c1_1(a309)
            & ndr1_0
            & c3_1(a309) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c3_1(X10)
                | ~ c0_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | ~ c3_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp17
          | hskp5
          | hskp24 )
        & ( hskp4
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | c3_1(X11)
                | ~ c1_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | ~ c2_1(X12)
                | ~ c3_1(X12) ) ) )
        & ( ! [X39] :
              ( ndr1_0
             => ( c2_1(X39)
                | ~ c1_1(X39)
                | ~ c3_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) )
          | hskp14 )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c1_1(X58)
                | c2_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | c2_1(X57)
                | c1_1(X57) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c2_1(X59)
                | c1_1(X59)
                | c3_1(X59) ) ) )
        & ( ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | ~ c0_1(X92)
                | ~ c1_1(X92) ) )
          | hskp8
          | hskp6 )
        & ( hskp21
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | ~ c3_1(X48)
                | ~ c0_1(X48) ) )
          | hskp17 )
        & ( ( ~ c0_1(a341)
            & c2_1(a341)
            & c3_1(a341)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c1_1(a295)
            & c2_1(a295)
            & ndr1_0
            & c0_1(a295) )
          | ~ hskp1 )
        & ( ~ hskp25
          | ( ~ c1_1(a346)
            & ~ c3_1(a346)
            & ~ c0_1(a346)
            & ndr1_0 ) )
        & ( hskp6
          | ! [X21] :
              ( ndr1_0
             => ( c3_1(X21)
                | ~ c0_1(X21)
                | ~ c1_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c2_1(X20)
                | c0_1(X20)
                | ~ c1_1(X20) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( c2_1(X23)
                | c1_1(X23)
                | c0_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c2_1(X22)
                | ~ c1_1(X22)
                | ~ c0_1(X22) ) )
          | hskp0 )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c2_1(X82)
                | c0_1(X82) ) )
          | hskp14
          | hskp0 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c3_1(X54)
                | c1_1(X54)
                | ~ c0_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | c3_1(X53)
                | c2_1(X53) ) )
          | hskp17 )
        & ( ( c0_1(a334)
            & c3_1(a334)
            & c2_1(a334)
            & ndr1_0 )
          | ~ hskp27 )
        & ( hskp26
          | hskp23
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c1_1(X88)
                | ~ c0_1(X88) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( c3_1(X26)
                | ~ c0_1(X26)
                | ~ c1_1(X26) ) )
          | hskp24
          | hskp23 )
        & ( hskp18
          | ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | ~ c0_1(X80)
                | ~ c2_1(X80) ) )
          | hskp17 )
        & ( ~ hskp21
          | ( ndr1_0
            & ~ c0_1(a336)
            & ~ c1_1(a336)
            & c3_1(a336) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | c0_1(X67)
                | ~ c3_1(X67) ) )
          | hskp0
          | ! [X68] :
              ( ndr1_0
             => ( c2_1(X68)
                | ~ c1_1(X68)
                | ~ c3_1(X68) ) ) )
        & ( ( ~ c3_1(a338)
            & ~ c2_1(a338)
            & ~ c1_1(a338)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ~ hskp2
          | ( ~ c0_1(a297)
            & ~ c3_1(a297)
            & ndr1_0
            & c1_1(a297) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | ~ c0_1(X60)
                | ~ c3_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c2_1(X61)
                | ~ c1_1(X61)
                | c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | ~ c3_1(X62)
                | c2_1(X62) ) ) )
        & ( hskp8
          | ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | ~ c2_1(X18)
                | c0_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | c3_1(X19)
                | ~ c1_1(X19) ) ) )
        & ( ( ~ c2_1(a342)
            & ndr1_0
            & c3_1(a342)
            & ~ c1_1(a342) )
          | ~ hskp24 )
        & ( hskp3
          | ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | ~ c2_1(X47)
                | ~ c3_1(X47) ) )
          | hskp27 )
        & ( hskp25
          | hskp15
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | ~ c2_1(X1)
                | ~ c1_1(X1) ) ) )
        & ( ~ hskp4
          | ( ~ c2_1(a300)
            & ~ c0_1(a300)
            & ~ c1_1(a300)
            & ndr1_0 ) )
        & ( hskp7
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) )
          | hskp4 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp11
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c0_1(X72)
                | c1_1(X72) ) )
          | hskp20 )
        & ( ( ndr1_0
            & c2_1(a323)
            & c0_1(a323)
            & ~ c3_1(a323) )
          | ~ hskp17 )
        & ( ( ~ c2_1(a342)
            & ndr1_0
            & c3_1(a342)
            & ~ c1_1(a342) )
          | ~ hskp24 )
        & ( ~ hskp5
          | ( c2_1(a301)
            & ndr1_0
            & ~ c3_1(a301)
            & ~ c1_1(a301) ) )
        & ( hskp25
          | hskp15
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | c3_1(X89)
                | ~ c2_1(X89) ) ) )
        & ( ( ~ c2_1(a294)
            & ~ c0_1(a294)
            & ndr1_0
            & ~ c3_1(a294) )
          | ~ hskp0 )
        & ( ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | ~ c2_1(X2)
                | ~ c1_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c2_1(X1)
                | c3_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c0_1(X0)
                | c1_1(X0) ) ) )
        & ( ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | c3_1(X83)
                | ~ c0_1(X83) ) )
          | hskp17
          | hskp4 )
        & ( ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | c0_1(X18)
                | c2_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | c3_1(X19)
                | ~ c1_1(X19) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | ~ c2_1(X17)
                | c1_1(X17) ) ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | c2_1(X81)
                | ~ c3_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | ~ c3_1(X82)
                | ~ c0_1(X82) ) ) )
        & ( ! [X87] :
              ( ndr1_0
             => ( ~ c1_1(X87)
                | c3_1(X87)
                | ~ c2_1(X87) ) )
          | hskp4
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | ~ c2_1(X88)
                | ~ c3_1(X88) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | c0_1(X52)
                | ~ c3_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c2_1(X53)
                | c3_1(X53)
                | ~ c1_1(X53) ) )
          | hskp3 )
        & ( hskp16
          | hskp26 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c2_1(X26)
                | c0_1(X26)
                | ~ c1_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | c1_1(X27)
                | ~ c3_1(X27) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c3_1(X25)
                | c2_1(X25) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( c3_1(X46)
                | ~ c2_1(X46)
                | c0_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | ~ c1_1(X47)
                | c3_1(X47) ) )
          | hskp8 )
        & ( ( ~ c0_1(a305)
            & ndr1_0
            & c2_1(a305)
            & ~ c1_1(a305) )
          | ~ hskp8 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c2_1(X37)
                | c0_1(X37)
                | ~ c1_1(X37) ) )
          | hskp6
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | ~ c1_1(X38)
                | c3_1(X38) ) ) )
        & ( ( c1_1(a315)
            & ~ c0_1(a315)
            & c2_1(a315)
            & ndr1_0 )
          | ~ hskp14 )
        & ( hskp6
          | hskp15
          | hskp23 )
        & ( ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | ~ c1_1(X10)
                | ~ c0_1(X10) ) )
          | hskp0
          | ! [X9] :
              ( ndr1_0
             => ( c2_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( ( ~ c3_1(a330)
            & ndr1_0
            & c1_1(a330)
            & c2_1(a330) )
          | ~ hskp19 )
        & ( ~ hskp12
          | ( ndr1_0
            & ~ c0_1(a310)
            & c3_1(a310)
            & ~ c2_1(a310) ) )
        & ( hskp12
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c0_1(X48)
                | ~ c1_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c2_1(X49)
                | ~ c0_1(X49)
                | c3_1(X49) ) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | ~ c1_1(X84)
                | c3_1(X84) ) )
          | hskp23
          | hskp24 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | ~ c0_1(X68)
                | ~ c2_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | ~ c3_1(X69)
                | c1_1(X69) ) )
          | hskp4 )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c1_1(X58)
                | c2_1(X58)
                | ~ c0_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | c2_1(X57)
                | c1_1(X57) ) )
          | hskp7 )
        & ( ~ hskp20
          | ( ~ c3_1(a333)
            & ~ c2_1(a333)
            & c1_1(a333)
            & ndr1_0 ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( ~ c0_1(X42)
                | ~ c2_1(X42)
                | c3_1(X42) ) )
          | hskp9
          | ! [X41] :
              ( ndr1_0
             => ( c2_1(X41)
                | ~ c3_1(X41)
                | c0_1(X41) ) ) )
        & ( ! [X78] :
              ( ndr1_0
             => ( c3_1(X78)
                | ~ c1_1(X78)
                | c2_1(X78) ) )
          | hskp17
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | ~ c1_1(X79)
                | ~ c3_1(X79) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | ~ c1_1(X35)
                | c2_1(X35) ) )
          | hskp5
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c1_1(X36)
                | ~ c0_1(X36) ) ) )
        & ( hskp12
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | c0_1(X44)
                | c3_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c2_1(X45)
                | ~ c1_1(X45)
                | ~ c3_1(X45) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c2_1(X56) ) )
          | hskp14
          | ! [X55] :
              ( ndr1_0
             => ( c1_1(X55)
                | c2_1(X55)
                | ~ c0_1(X55) ) ) )
        & ( hskp7
          | hskp4
          | ! [X39] :
              ( ndr1_0
             => ( c2_1(X39)
                | c0_1(X39)
                | ~ c1_1(X39) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) )
          | hskp11
          | hskp10 )
        & ( ~ hskp28
          | ( ndr1_0
            & c1_1(a353)
            & c3_1(a353)
            & c2_1(a353) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( c1_1(X21)
                | ~ c3_1(X21)
                | ~ c2_1(X21) ) )
          | hskp1
          | ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c2_1(X20) ) ) )
        & ( hskp3
          | ! [X31] :
              ( ndr1_0
             => ( c2_1(X31)
                | ~ c1_1(X31)
                | c0_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | ~ c1_1(X32)
                | c3_1(X32) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | ~ c2_1(X73)
                | ~ c3_1(X73) ) )
          | hskp3
          | hskp27 )
        & ( hskp17
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c0_1(X92)
                | ~ c1_1(X92) ) )
          | hskp21 )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | ~ c3_1(X30)
                | c0_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | ~ c1_1(X29)
                | c3_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c0_1(X28)
                | c2_1(X28) ) ) )
        & ( hskp19
          | hskp12
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | c1_1(X71)
                | ~ c0_1(X71) ) ) )
        & ( ~ hskp29
          | ( c2_1(a354)
            & c0_1(a354)
            & c1_1(a354)
            & ndr1_0 ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( c3_1(X64)
                | c2_1(X64)
                | ~ c1_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | c3_1(X63)
                | ~ c0_1(X63) ) )
          | hskp17 )
        & ( hskp25
          | hskp20
          | hskp12 )
        & ( hskp11
          | ! [X86] :
              ( ndr1_0
             => ( ~ c2_1(X86)
                | ~ c3_1(X86)
                | ~ c0_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | ~ c2_1(X85)
                | c3_1(X85) ) ) )
        & ( ( ~ c1_1(a295)
            & c2_1(a295)
            & ndr1_0
            & c0_1(a295) )
          | ~ hskp1 )
        & ( ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | c2_1(X5)
                | ~ c3_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c1_1(X4)
                | c2_1(X4)
                | c3_1(X4) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | ~ c0_1(X77)
                | ~ c3_1(X77) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c3_1(X75)
                | ~ c1_1(X75)
                | c2_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c2_1(X76)
                | ~ c1_1(X76)
                | ~ c3_1(X76) ) ) )
        & ( ( ndr1_0
            & c0_1(a313)
            & c3_1(a313)
            & ~ c1_1(a313) )
          | ~ hskp13 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | ~ c2_1(X62)
                | c3_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | c3_1(X61)
                | c1_1(X61) ) )
          | hskp13 )
        & ( ( c0_1(a303)
            & ~ c2_1(a303)
            & c1_1(a303)
            & ndr1_0 )
          | ~ hskp7 )
        & ( hskp22
          | ! [X80] :
              ( ndr1_0
             => ( c2_1(X80)
                | ~ c1_1(X80)
                | c3_1(X80) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | c3_1(X67)
                | c1_1(X67) ) )
          | hskp11
          | hskp16 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c1_1(X22)
                | ~ c3_1(X22) ) )
          | hskp0
          | ! [X23] :
              ( ndr1_0
             => ( c2_1(X23)
                | ~ c3_1(X23)
                | ~ c1_1(X23) ) ) )
        & ( hskp6
          | ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | c2_1(X59)
                | ~ c3_1(X59) ) )
          | hskp15 )
        & ( ~ hskp25
          | ( ~ c1_1(a346)
            & ~ c3_1(a346)
            & ~ c0_1(a346)
            & ndr1_0 ) )
        & ( ~ hskp21
          | ( ndr1_0
            & ~ c0_1(a336)
            & ~ c1_1(a336)
            & c3_1(a336) ) )
        & ( hskp29
          | hskp10
          | hskp27 )
        & ( ( c1_1(a320)
            & ~ c0_1(a320)
            & ndr1_0
            & ~ c2_1(a320) )
          | ~ hskp15 )
        & ( hskp0
          | hskp2
          | ! [X24] :
              ( ndr1_0
             => ( c1_1(X24)
                | c0_1(X24)
                | ~ c3_1(X24) ) ) )
        & ( hskp21
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c2_1(X74)
                | c3_1(X74) ) ) )
        & ( ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c2_1(X93)
                | ~ c1_1(X93) ) )
          | hskp28 )
        & ( hskp4
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | ~ c2_1(X34)
                | c1_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c2_1(X33)
                | ~ c1_1(X33)
                | c0_1(X33) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | c1_1(X7)
                | ~ c0_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c1_1(X6)
                | c2_1(X6)
                | c0_1(X6) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c0_1(X8)
                | ~ c1_1(X8)
                | ~ c3_1(X8) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | c2_1(X66)
                | c3_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | ~ c2_1(X65)
                | c3_1(X65) ) )
          | hskp5 )
        & ( ( ~ c3_1(a329)
            & c2_1(a329)
            & ~ c0_1(a329)
            & ndr1_0 )
          | ~ hskp18 )
        & ( hskp17
          | hskp18
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | ~ c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp8
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | c0_1(X40)
                | c2_1(X40) ) )
          | hskp5 )
        & ( ( c3_1(a299)
            & ~ c2_1(a299)
            & ndr1_0
            & c0_1(a299) )
          | ~ hskp3 )
        & ( ~ hskp9
          | ( ~ c1_1(a307)
            & ~ c3_1(a307)
            & c0_1(a307)
            & ndr1_0 ) )
        & ( ~ hskp4
          | ( ~ c2_1(a300)
            & ~ c0_1(a300)
            & ~ c1_1(a300)
            & ndr1_0 ) )
        & ( ~ hskp6
          | ( ~ c2_1(a302)
            & c0_1(a302)
            & ~ c1_1(a302)
            & ndr1_0 ) )
        & ( ( ~ c3_1(a338)
            & ~ c2_1(a338)
            & ~ c1_1(a338)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ~ hskp11
          | ( ~ c2_1(a309)
            & c1_1(a309)
            & ndr1_0
            & c3_1(a309) ) )
        & ( hskp0
          | hskp14
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | c0_1(X54)
                | ~ c3_1(X54) ) ) )
        & ( hskp12
          | hskp26
          | hskp11 )
        & ( ~ hskp2
          | ( ~ c0_1(a297)
            & ~ c3_1(a297)
            & ndr1_0
            & c1_1(a297) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( c1_1(X14)
                | c0_1(X14)
                | c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | c2_1(X15)
                | c0_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | ~ c0_1(X16)
                | c3_1(X16) ) ) )
        & ( hskp17
          | hskp5
          | hskp24 )
        & ( ( ~ c1_1(a321)
            & ndr1_0
            & c3_1(a321)
            & c2_1(a321) )
          | ~ hskp16 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | ~ c2_1(X50)
                | ~ c1_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | c3_1(X51)
                | ~ c0_1(X51) ) )
          | hskp13 )
        & ( ( ~ c0_1(a341)
            & c2_1(a341)
            & c3_1(a341)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | ~ c2_1(X91)
                | ~ c1_1(X91) ) )
          | hskp23
          | hskp26 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c1_1(X11)
                | c3_1(X11)
                | c0_1(X11) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | c0_1(X13)
                | ~ c2_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c2_1(X12)
                | c3_1(X12) ) ) )
        & ( ( c0_1(a349)
            & ~ c3_1(a349)
            & ~ c2_1(a349)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | ~ c0_1(X90)
                | ~ c1_1(X90) ) )
          | hskp8
          | hskp6 )
        & ( ( c0_1(a334)
            & c3_1(a334)
            & c2_1(a334)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c2_1(X60)
                | ~ c3_1(X60)
                | c1_1(X60) ) )
          | hskp16 )
        & ( ~ hskp10
          | ( c1_1(a308)
            & ~ c0_1(a308)
            & c3_1(a308)
            & ndr1_0 ) )
        & ( hskp1
          | hskp10
          | hskp7 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp11
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | ~ c0_1(X72)
              | c1_1(X72) ) )
        | hskp20 )
      & ( ( ndr1_0
          & c2_1(a323)
          & c0_1(a323)
          & ~ c3_1(a323) )
        | ~ hskp17 )
      & ( ( ~ c2_1(a342)
          & ndr1_0
          & c3_1(a342)
          & ~ c1_1(a342) )
        | ~ hskp24 )
      & ( ~ hskp5
        | ( c2_1(a301)
          & ndr1_0
          & ~ c3_1(a301)
          & ~ c1_1(a301) ) )
      & ( hskp25
        | hskp15
        | ! [X89] :
            ( ndr1_0
           => ( ~ c1_1(X89)
              | c3_1(X89)
              | ~ c2_1(X89) ) ) )
      & ( ( ~ c2_1(a294)
          & ~ c0_1(a294)
          & ndr1_0
          & ~ c3_1(a294) )
        | ~ hskp0 )
      & ( ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | ~ c2_1(X2)
              | ~ c1_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c2_1(X1)
              | c3_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c0_1(X0)
              | c1_1(X0) ) ) )
      & ( ! [X83] :
            ( ndr1_0
           => ( ~ c1_1(X83)
              | c3_1(X83)
              | ~ c0_1(X83) ) )
        | hskp17
        | hskp4 )
      & ( ! [X18] :
            ( ndr1_0
           => ( ~ c1_1(X18)
              | c0_1(X18)
              | c2_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | c3_1(X19)
              | ~ c1_1(X19) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | ~ c2_1(X17)
              | c1_1(X17) ) ) )
      & ( ! [X81] :
            ( ndr1_0
           => ( ~ c1_1(X81)
              | c2_1(X81)
              | ~ c3_1(X81) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c2_1(X82)
              | ~ c3_1(X82)
              | ~ c0_1(X82) ) ) )
      & ( ! [X87] :
            ( ndr1_0
           => ( ~ c1_1(X87)
              | c3_1(X87)
              | ~ c2_1(X87) ) )
        | hskp4
        | ! [X88] :
            ( ndr1_0
           => ( ~ c1_1(X88)
              | ~ c2_1(X88)
              | ~ c3_1(X88) ) ) )
      & ( ! [X52] :
            ( ndr1_0
           => ( ~ c2_1(X52)
              | c0_1(X52)
              | ~ c3_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c2_1(X53)
              | c3_1(X53)
              | ~ c1_1(X53) ) )
        | hskp3 )
      & ( hskp16
        | hskp26 )
      & ( ! [X26] :
            ( ndr1_0
           => ( c2_1(X26)
              | c0_1(X26)
              | ~ c1_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c2_1(X27)
              | c1_1(X27)
              | ~ c3_1(X27) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c3_1(X25)
              | c2_1(X25) ) ) )
      & ( ! [X46] :
            ( ndr1_0
           => ( c3_1(X46)
              | ~ c2_1(X46)
              | c0_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | ~ c1_1(X47)
              | c3_1(X47) ) )
        | hskp8 )
      & ( ( ~ c0_1(a305)
          & ndr1_0
          & c2_1(a305)
          & ~ c1_1(a305) )
        | ~ hskp8 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c2_1(X37)
              | c0_1(X37)
              | ~ c1_1(X37) ) )
        | hskp6
        | ! [X38] :
            ( ndr1_0
           => ( ~ c0_1(X38)
              | ~ c1_1(X38)
              | c3_1(X38) ) ) )
      & ( ( c1_1(a315)
          & ~ c0_1(a315)
          & c2_1(a315)
          & ndr1_0 )
        | ~ hskp14 )
      & ( hskp6
        | hskp15
        | hskp23 )
      & ( ! [X10] :
            ( ndr1_0
           => ( c2_1(X10)
              | ~ c1_1(X10)
              | ~ c0_1(X10) ) )
        | hskp0
        | ! [X9] :
            ( ndr1_0
           => ( c2_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( ( ~ c3_1(a330)
          & ndr1_0
          & c1_1(a330)
          & c2_1(a330) )
        | ~ hskp19 )
      & ( ~ hskp12
        | ( ndr1_0
          & ~ c0_1(a310)
          & c3_1(a310)
          & ~ c2_1(a310) ) )
      & ( hskp12
        | ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | c0_1(X48)
              | ~ c1_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c2_1(X49)
              | ~ c0_1(X49)
              | c3_1(X49) ) ) )
      & ( ! [X84] :
            ( ndr1_0
           => ( ~ c0_1(X84)
              | ~ c1_1(X84)
              | c3_1(X84) ) )
        | hskp23
        | hskp24 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | ~ c0_1(X68)
              | ~ c2_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c0_1(X69)
              | ~ c3_1(X69)
              | c1_1(X69) ) )
        | hskp4 )
      & ( ! [X58] :
            ( ndr1_0
           => ( ~ c1_1(X58)
              | c2_1(X58)
              | ~ c0_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | c2_1(X57)
              | c1_1(X57) ) )
        | hskp7 )
      & ( ~ hskp20
        | ( ~ c3_1(a333)
          & ~ c2_1(a333)
          & c1_1(a333)
          & ndr1_0 ) )
      & ( ! [X42] :
            ( ndr1_0
           => ( ~ c0_1(X42)
              | ~ c2_1(X42)
              | c3_1(X42) ) )
        | hskp9
        | ! [X41] :
            ( ndr1_0
           => ( c2_1(X41)
              | ~ c3_1(X41)
              | c0_1(X41) ) ) )
      & ( ! [X78] :
            ( ndr1_0
           => ( c3_1(X78)
              | ~ c1_1(X78)
              | c2_1(X78) ) )
        | hskp17
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | ~ c1_1(X79)
              | ~ c3_1(X79) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | ~ c1_1(X35)
              | c2_1(X35) ) )
        | hskp5
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | c1_1(X36)
              | ~ c0_1(X36) ) ) )
      & ( hskp12
        | ! [X44] :
            ( ndr1_0
           => ( ~ c1_1(X44)
              | c0_1(X44)
              | c3_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c2_1(X45)
              | ~ c1_1(X45)
              | ~ c3_1(X45) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c1_1(X56)
              | c2_1(X56) ) )
        | hskp14
        | ! [X55] :
            ( ndr1_0
           => ( c1_1(X55)
              | c2_1(X55)
              | ~ c0_1(X55) ) ) )
      & ( hskp7
        | hskp4
        | ! [X39] :
            ( ndr1_0
           => ( c2_1(X39)
              | c0_1(X39)
              | ~ c1_1(X39) ) ) )
      & ( ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) )
        | hskp11
        | hskp10 )
      & ( ~ hskp28
        | ( ndr1_0
          & c1_1(a353)
          & c3_1(a353)
          & c2_1(a353) ) )
      & ( ! [X21] :
            ( ndr1_0
           => ( c1_1(X21)
              | ~ c3_1(X21)
              | ~ c2_1(X21) ) )
        | hskp1
        | ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c2_1(X20) ) ) )
      & ( hskp3
        | ! [X31] :
            ( ndr1_0
           => ( c2_1(X31)
              | ~ c1_1(X31)
              | c0_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | ~ c1_1(X32)
              | c3_1(X32) ) ) )
      & ( ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | ~ c2_1(X73)
              | ~ c3_1(X73) ) )
        | hskp3
        | hskp27 )
      & ( hskp17
        | ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | ~ c0_1(X92)
              | ~ c1_1(X92) ) )
        | hskp21 )
      & ( ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | ~ c3_1(X30)
              | c0_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | ~ c1_1(X29)
              | c3_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c0_1(X28)
              | c2_1(X28) ) ) )
      & ( hskp19
        | hskp12
        | ! [X71] :
            ( ndr1_0
           => ( ~ c2_1(X71)
              | c1_1(X71)
              | ~ c0_1(X71) ) ) )
      & ( ~ hskp29
        | ( c2_1(a354)
          & c0_1(a354)
          & c1_1(a354)
          & ndr1_0 ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( c3_1(X64)
              | c2_1(X64)
              | ~ c1_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c1_1(X63)
              | c3_1(X63)
              | ~ c0_1(X63) ) )
        | hskp17 )
      & ( hskp25
        | hskp20
        | hskp12 )
      & ( hskp11
        | ! [X86] :
            ( ndr1_0
           => ( ~ c2_1(X86)
              | ~ c3_1(X86)
              | ~ c0_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | ~ c2_1(X85)
              | c3_1(X85) ) ) )
      & ( ( ~ c1_1(a295)
          & c2_1(a295)
          & ndr1_0
          & c0_1(a295) )
        | ~ hskp1 )
      & ( ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) )
        | ! [X5] :
            ( ndr1_0
           => ( ~ c1_1(X5)
              | c2_1(X5)
              | ~ c3_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c1_1(X4)
              | c2_1(X4)
              | c3_1(X4) ) ) )
      & ( ! [X77] :
            ( ndr1_0
           => ( ~ c1_1(X77)
              | ~ c0_1(X77)
              | ~ c3_1(X77) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c3_1(X75)
              | ~ c1_1(X75)
              | c2_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( c2_1(X76)
              | ~ c1_1(X76)
              | ~ c3_1(X76) ) ) )
      & ( ( ndr1_0
          & c0_1(a313)
          & c3_1(a313)
          & ~ c1_1(a313) )
        | ~ hskp13 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c1_1(X62)
              | ~ c2_1(X62)
              | c3_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c0_1(X61)
              | c3_1(X61)
              | c1_1(X61) ) )
        | hskp13 )
      & ( ( c0_1(a303)
          & ~ c2_1(a303)
          & c1_1(a303)
          & ndr1_0 )
        | ~ hskp7 )
      & ( hskp22
        | ! [X80] :
            ( ndr1_0
           => ( c2_1(X80)
              | ~ c1_1(X80)
              | c3_1(X80) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( ~ c2_1(X67)
              | c3_1(X67)
              | c1_1(X67) ) )
        | hskp11
        | hskp16 )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c1_1(X22)
              | ~ c3_1(X22) ) )
        | hskp0
        | ! [X23] :
            ( ndr1_0
           => ( c2_1(X23)
              | ~ c3_1(X23)
              | ~ c1_1(X23) ) ) )
      & ( hskp6
        | ! [X59] :
            ( ndr1_0
           => ( c1_1(X59)
              | c2_1(X59)
              | ~ c3_1(X59) ) )
        | hskp15 )
      & ( ~ hskp25
        | ( ~ c1_1(a346)
          & ~ c3_1(a346)
          & ~ c0_1(a346)
          & ndr1_0 ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ~ c0_1(a336)
          & ~ c1_1(a336)
          & c3_1(a336) ) )
      & ( hskp29
        | hskp10
        | hskp27 )
      & ( ( c1_1(a320)
          & ~ c0_1(a320)
          & ndr1_0
          & ~ c2_1(a320) )
        | ~ hskp15 )
      & ( hskp0
        | hskp2
        | ! [X24] :
            ( ndr1_0
           => ( c1_1(X24)
              | c0_1(X24)
              | ~ c3_1(X24) ) ) )
      & ( hskp21
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c2_1(X74)
              | c3_1(X74) ) ) )
      & ( ! [X93] :
            ( ndr1_0
           => ( ~ c3_1(X93)
              | ~ c2_1(X93)
              | ~ c1_1(X93) ) )
        | hskp28 )
      & ( hskp4
        | ! [X34] :
            ( ndr1_0
           => ( ~ c0_1(X34)
              | ~ c2_1(X34)
              | c1_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c2_1(X33)
              | ~ c1_1(X33)
              | c0_1(X33) ) ) )
      & ( ! [X7] :
            ( ndr1_0
           => ( ~ c2_1(X7)
              | c1_1(X7)
              | ~ c0_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c1_1(X6)
              | c2_1(X6)
              | c0_1(X6) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c0_1(X8)
              | ~ c1_1(X8)
              | ~ c3_1(X8) ) ) )
      & ( ! [X66] :
            ( ndr1_0
           => ( ~ c1_1(X66)
              | c2_1(X66)
              | c3_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | ~ c2_1(X65)
              | c3_1(X65) ) )
        | hskp5 )
      & ( ( ~ c3_1(a329)
          & c2_1(a329)
          & ~ c0_1(a329)
          & ndr1_0 )
        | ~ hskp18 )
      & ( hskp17
        | hskp18
        | ! [X70] :
            ( ndr1_0
           => ( ~ c0_1(X70)
              | ~ c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp8
        | ! [X40] :
            ( ndr1_0
           => ( ~ c1_1(X40)
              | c0_1(X40)
              | c2_1(X40) ) )
        | hskp5 )
      & ( ( c3_1(a299)
          & ~ c2_1(a299)
          & ndr1_0
          & c0_1(a299) )
        | ~ hskp3 )
      & ( ~ hskp9
        | ( ~ c1_1(a307)
          & ~ c3_1(a307)
          & c0_1(a307)
          & ndr1_0 ) )
      & ( ~ hskp4
        | ( ~ c2_1(a300)
          & ~ c0_1(a300)
          & ~ c1_1(a300)
          & ndr1_0 ) )
      & ( ~ hskp6
        | ( ~ c2_1(a302)
          & c0_1(a302)
          & ~ c1_1(a302)
          & ndr1_0 ) )
      & ( ( ~ c3_1(a338)
          & ~ c2_1(a338)
          & ~ c1_1(a338)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ~ hskp11
        | ( ~ c2_1(a309)
          & c1_1(a309)
          & ndr1_0
          & c3_1(a309) ) )
      & ( hskp0
        | hskp14
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | c0_1(X54)
              | ~ c3_1(X54) ) ) )
      & ( hskp12
        | hskp26
        | hskp11 )
      & ( ~ hskp2
        | ( ~ c0_1(a297)
          & ~ c3_1(a297)
          & ndr1_0
          & c1_1(a297) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( c1_1(X14)
              | c0_1(X14)
              | c3_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c1_1(X15)
              | c2_1(X15)
              | c0_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | ~ c0_1(X16)
              | c3_1(X16) ) ) )
      & ( hskp17
        | hskp5
        | hskp24 )
      & ( ( ~ c1_1(a321)
          & ndr1_0
          & c3_1(a321)
          & c2_1(a321) )
        | ~ hskp16 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | ~ c2_1(X50)
              | ~ c1_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c1_1(X51)
              | c3_1(X51)
              | ~ c0_1(X51) ) )
        | hskp13 )
      & ( ( ~ c0_1(a341)
          & c2_1(a341)
          & c3_1(a341)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | ~ c2_1(X91)
              | ~ c1_1(X91) ) )
        | hskp23
        | hskp26 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c1_1(X11)
              | c3_1(X11)
              | c0_1(X11) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | c0_1(X13)
              | ~ c2_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c2_1(X12)
              | c3_1(X12) ) ) )
      & ( ( c0_1(a349)
          & ~ c3_1(a349)
          & ~ c2_1(a349)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ! [X90] :
            ( ndr1_0
           => ( ~ c2_1(X90)
              | ~ c0_1(X90)
              | ~ c1_1(X90) ) )
        | hskp8
        | hskp6 )
      & ( ( c0_1(a334)
          & c3_1(a334)
          & c2_1(a334)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c2_1(X60)
              | ~ c3_1(X60)
              | c1_1(X60) ) )
        | hskp16 )
      & ( ~ hskp10
        | ( c1_1(a308)
          & ~ c0_1(a308)
          & c3_1(a308)
          & ndr1_0 ) )
      & ( hskp1
        | hskp10
        | hskp7 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f927,plain,
    ( spl0_39
    | ~ spl0_1
    | spl0_147
    | spl0_29 ),
    inference(avatar_split_clause,[],[f25,f307,f909,f188,f352]) ).

fof(f352,plain,
    ( spl0_39
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f188,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f307,plain,
    ( spl0_29
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f25,plain,
    ! [X82] :
      ( hskp0
      | ~ c2_1(X82)
      | c0_1(X82)
      | ~ ndr1_0
      | ~ c3_1(X82)
      | hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f925,plain,
    ( ~ spl0_33
    | spl0_1 ),
    inference(avatar_split_clause,[],[f79,f188,f327]) ).

fof(f327,plain,
    ( spl0_33
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f79,plain,
    ( ndr1_0
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f923,plain,
    ( ~ spl0_55
    | spl0_149 ),
    inference(avatar_split_clause,[],[f86,f920,f423]) ).

fof(f423,plain,
    ( spl0_55
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f86,plain,
    ( c0_1(a313)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f918,plain,
    ( spl0_62
    | ~ spl0_1
    | spl0_66
    | spl0_147 ),
    inference(avatar_split_clause,[],[f42,f909,f473,f188,f455]) ).

fof(f42,plain,
    ! [X14,X13] :
      ( ~ c3_1(X13)
      | c3_1(X14)
      | ~ c2_1(X13)
      | ~ ndr1_0
      | c2_1(X14)
      | c0_1(X13)
      | hskp3
      | ~ c1_1(X14) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f917,plain,
    ( ~ spl0_148
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f113,f192,f914]) ).

fof(f192,plain,
    ( spl0_2
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f113,plain,
    ( ~ hskp21
    | ~ c1_1(a336) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f911,plain,
    ( ~ spl0_1
    | spl0_147
    | spl0_47
    | spl0_37 ),
    inference(avatar_split_clause,[],[f48,f342,f388,f909,f188]) ).

fof(f48,plain,
    ! [X90,X91,X89] :
      ( c1_1(X89)
      | c3_1(X89)
      | c3_1(X91)
      | ~ c3_1(X90)
      | ~ c2_1(X90)
      | c0_1(X89)
      | ~ ndr1_0
      | c0_1(X90)
      | c0_1(X91)
      | c2_1(X91) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f907,plain,
    ( ~ spl0_146
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f78,f327,f904]) ).

fof(f78,plain,
    ( ~ hskp12
    | ~ c0_1(a310) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f902,plain,
    ( ~ spl0_1
    | spl0_123
    | spl0_35 ),
    inference(avatar_split_clause,[],[f32,f334,f774,f188]) ).

fof(f32,plain,
    ! [X10,X9] :
      ( ~ c1_1(X9)
      | ~ c3_1(X9)
      | ~ c3_1(X10)
      | ~ c2_1(X10)
      | c2_1(X9)
      | ~ ndr1_0
      | ~ c0_1(X10) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f900,plain,
    ( ~ spl0_1
    | spl0_29
    | spl0_35
    | spl0_143 ),
    inference(avatar_split_clause,[],[f58,f883,f334,f307,f188]) ).

fof(f58,plain,
    ! [X68,X67] :
      ( ~ c3_1(X67)
      | c2_1(X68)
      | hskp0
      | c1_1(X67)
      | ~ c3_1(X68)
      | ~ c1_1(X68)
      | ~ ndr1_0
      | c0_1(X67) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f864,plain,
    ( ~ spl0_22
    | spl0_139 ),
    inference(avatar_split_clause,[],[f136,f861,f275]) ).

fof(f275,plain,
    ( spl0_22
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f136,plain,
    ( c3_1(a309)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f849,plain,
    ( spl0_136
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f112,f192,f846]) ).

fof(f112,plain,
    ( ~ hskp21
    | c3_1(a336) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f838,plain,
    ( ~ spl0_49
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f150,f835,f395]) ).

fof(f395,plain,
    ( spl0_49
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f150,plain,
    ( ~ c3_1(a349)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f827,plain,
    ( ~ spl0_1
    | spl0_66
    | spl0_35
    | spl0_57 ),
    inference(avatar_split_clause,[],[f38,f433,f334,f473,f188]) ).

fof(f38,plain,
    ! [X62,X60,X61] :
      ( ~ c0_1(X60)
      | ~ c1_1(X60)
      | c2_1(X62)
      | ~ c1_1(X62)
      | ~ c3_1(X60)
      | ~ c3_1(X62)
      | ~ c1_1(X61)
      | c2_1(X61)
      | ~ ndr1_0
      | c3_1(X61) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f825,plain,
    ( ~ spl0_132
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f98,f248,f822]) ).

fof(f248,plain,
    ( spl0_15
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f98,plain,
    ( ~ hskp10
    | ~ c0_1(a308) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f820,plain,
    ( ~ spl0_22
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f139,f817,f275]) ).

fof(f139,plain,
    ( ~ c2_1(a309)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f797,plain,
    ( spl0_127
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f106,f238,f794]) ).

fof(f238,plain,
    ( spl0_13
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f106,plain,
    ( ~ hskp1
    | c2_1(a295) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f767,plain,
    ( spl0_121
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f159,f352,f764]) ).

fof(f159,plain,
    ( ~ hskp14
    | c1_1(a315) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f756,plain,
    ( ~ spl0_33
    | spl0_119 ),
    inference(avatar_split_clause,[],[f77,f753,f327]) ).

fof(f77,plain,
    ( c3_1(a310)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f734,plain,
    ( spl0_44
    | spl0_22
    | ~ spl0_1
    | spl0_59 ),
    inference(avatar_split_clause,[],[f21,f442,f188,f275,f375]) ).

fof(f375,plain,
    ( spl0_44
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f21,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | hskp11
      | hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f733,plain,
    ( ~ spl0_24
    | spl0_115 ),
    inference(avatar_split_clause,[],[f89,f730,f284]) ).

fof(f284,plain,
    ( spl0_24
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f89,plain,
    ( c3_1(a321)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f723,plain,
    ( spl0_44
    | spl0_89
    | spl0_33 ),
    inference(avatar_split_clause,[],[f183,f327,f588,f375]) ).

fof(f588,plain,
    ( spl0_89
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f183,plain,
    ( hskp12
    | hskp25
    | hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f697,plain,
    ( ~ spl0_109
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f126,f375,f694]) ).

fof(f126,plain,
    ( ~ hskp20
    | ~ c2_1(a333) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f691,plain,
    ( spl0_108
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f157,f352,f688]) ).

fof(f157,plain,
    ( ~ hskp14
    | c2_1(a315) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f686,plain,
    ( ~ spl0_33
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f76,f683,f327]) ).

fof(f76,plain,
    ( ~ c2_1(a310)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f681,plain,
    ( spl0_24
    | spl0_49 ),
    inference(avatar_split_clause,[],[f185,f395,f284]) ).

fof(f185,plain,
    ( hskp26
    | hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f666,plain,
    ( ~ spl0_2
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f114,f663,f192]) ).

fof(f114,plain,
    ( ~ c0_1(a336)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f661,plain,
    ( ~ spl0_102
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f127,f375,f658]) ).

fof(f127,plain,
    ( ~ hskp20
    | ~ c3_1(a333) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f646,plain,
    ( ~ spl0_99
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f84,f423,f643]) ).

fof(f84,plain,
    ( ~ hskp13
    | ~ c1_1(a313) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f638,plain,
    ( ~ spl0_49
    | spl0_98 ),
    inference(avatar_split_clause,[],[f151,f635,f395]) ).

fof(f151,plain,
    ( c0_1(a349)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f633,plain,
    ( ~ spl0_39
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f158,f630,f352]) ).

fof(f158,plain,
    ( ~ c0_1(a315)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f628,plain,
    ( ~ spl0_44
    | spl0_96 ),
    inference(avatar_split_clause,[],[f125,f625,f375]) ).

fof(f125,plain,
    ( c1_1(a333)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f623,plain,
    ( spl0_48
    | spl0_55
    | spl0_87
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f51,f188,f579,f423,f391]) ).

fof(f51,plain,
    ! [X86,X87] :
      ( ~ ndr1_0
      | ~ c1_1(X87)
      | c3_1(X87)
      | ~ c0_1(X87)
      | hskp13
      | c0_1(X86)
      | ~ c2_1(X86)
      | ~ c1_1(X86) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f621,plain,
    ( ~ spl0_95
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f134,f460,f618]) ).

fof(f460,plain,
    ( spl0_63
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f134,plain,
    ( ~ hskp4
    | ~ c0_1(a300) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f591,plain,
    ( spl0_1
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f176,f588,f188]) ).

fof(f176,plain,
    ( ~ hskp25
    | ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f586,plain,
    ( spl0_88
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f80,f455,f583]) ).

fof(f80,plain,
    ( ~ hskp3
    | c0_1(a299) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f568,plain,
    ( ~ spl0_1
    | spl0_29
    | spl0_46
    | spl0_6 ),
    inference(avatar_split_clause,[],[f39,f210,f385,f307,f188]) ).

fof(f39,plain,
    ! [X22,X23] :
      ( ~ c1_1(X22)
      | c0_1(X23)
      | hskp0
      | ~ ndr1_0
      | c2_1(X23)
      | c1_1(X23)
      | c2_1(X22)
      | ~ c0_1(X22) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f567,plain,
    ( spl0_33
    | spl0_49
    | spl0_22 ),
    inference(avatar_split_clause,[],[f184,f275,f395,f327]) ).

fof(f184,plain,
    ( hskp11
    | hskp26
    | hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f556,plain,
    ( ~ spl0_63
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f135,f553,f460]) ).

fof(f135,plain,
    ( ~ c2_1(a300)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f545,plain,
    ( spl0_15
    | ~ spl0_1
    | spl0_80
    | spl0_22 ),
    inference(avatar_split_clause,[],[f19,f275,f543,f188,f248]) ).

fof(f19,plain,
    ! [X42] :
      ( hskp11
      | c0_1(X42)
      | ~ c3_1(X42)
      | ~ ndr1_0
      | hskp10
      | c2_1(X42) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f541,plain,
    ( ~ spl0_29
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f72,f538,f307]) ).

fof(f72,plain,
    ( ~ c3_1(a294)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f503,plain,
    ( ~ spl0_1
    | spl0_63
    | spl0_69
    | spl0_59 ),
    inference(avatar_split_clause,[],[f12,f442,f489,f460,f188]) ).

fof(f12,plain,
    ! [X28,X27] :
      ( c1_1(X27)
      | ~ c0_1(X27)
      | ~ c3_1(X28)
      | ~ c2_1(X27)
      | ~ c0_1(X28)
      | hskp4
      | ~ ndr1_0
      | c1_1(X28) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f496,plain,
    ( ~ spl0_70
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f107,f238,f493]) ).

fof(f107,plain,
    ( ~ hskp1
    | ~ c1_1(a295) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f483,plain,
    ( ~ spl0_1
    | spl0_24
    | spl0_7 ),
    inference(avatar_split_clause,[],[f16,f213,f284,f188]) ).

fof(f16,plain,
    ! [X93] :
      ( c1_1(X93)
      | hskp16
      | c2_1(X93)
      | ~ ndr1_0
      | ~ c3_1(X93) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f467,plain,
    ( ~ spl0_63
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f133,f464,f460]) ).

fof(f133,plain,
    ( ~ c1_1(a300)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f458,plain,
    ( ~ spl0_61
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f82,f455,f451]) ).

fof(f82,plain,
    ( ~ hskp3
    | ~ c2_1(a299) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f449,plain,
    ( spl0_60
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f97,f248,f446]) ).

fof(f97,plain,
    ( ~ hskp10
    | c3_1(a308) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f440,plain,
    ( ~ spl0_29
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f74,f437,f307]) ).

fof(f74,plain,
    ( ~ c0_1(a294)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f426,plain,
    ( spl0_54
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f85,f423,f419]) ).

fof(f85,plain,
    ( ~ hskp13
    | c3_1(a313) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f408,plain,
    ( ~ spl0_24
    | spl0_51 ),
    inference(avatar_split_clause,[],[f88,f405,f284]) ).

fof(f88,plain,
    ( c2_1(a321)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f403,plain,
    ( spl0_20
    | spl0_17
    | ~ spl0_1
    | spl0_47 ),
    inference(avatar_split_clause,[],[f59,f388,f188,f257,f267]) ).

fof(f59,plain,
    ! [X16,X17,X15] :
      ( c2_1(X17)
      | ~ ndr1_0
      | c1_1(X16)
      | ~ c2_1(X16)
      | c3_1(X17)
      | ~ c1_1(X15)
      | c2_1(X15)
      | c0_1(X17)
      | c0_1(X15)
      | ~ c3_1(X16) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f402,plain,
    ( ~ spl0_49
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f149,f399,f395]) ).

fof(f149,plain,
    ( ~ c2_1(a349)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f378,plain,
    ( ~ spl0_44
    | spl0_1 ),
    inference(avatar_split_clause,[],[f124,f188,f375]) ).

fof(f124,plain,
    ( ndr1_0
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f314,plain,
    ( ~ spl0_29
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f75,f311,f307]) ).

fof(f75,plain,
    ( ~ c2_1(a294)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f287,plain,
    ( ~ spl0_23
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f91,f284,f280]) ).

fof(f91,plain,
    ( ~ hskp16
    | ~ c1_1(a321) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f278,plain,
    ( spl0_21
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f138,f275,f271]) ).

fof(f138,plain,
    ( ~ hskp11
    | c1_1(a309) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f262,plain,
    ( ~ spl0_1
    | spl0_17
    | spl0_18
    | spl0_13 ),
    inference(avatar_split_clause,[],[f31,f238,f260,f257,f188]) ).

fof(f31,plain,
    ! [X44,X43] :
      ( hskp1
      | ~ c2_1(X44)
      | c1_1(X43)
      | c0_1(X44)
      | c1_1(X44)
      | ~ ndr1_0
      | ~ c3_1(X43)
      | ~ c2_1(X43) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f255,plain,
    ( ~ spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f99,f252,f248]) ).

fof(f99,plain,
    ( c1_1(a308)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f241,plain,
    ( spl0_12
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f104,f238,f234]) ).

fof(f104,plain,
    ( ~ hskp1
    | c0_1(a295) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f198,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f13,f196,f192,f188]) ).

fof(f13,plain,
    ! [X71] :
      ( c2_1(X71)
      | ~ c0_1(X71)
      | hskp21
      | c3_1(X71)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYN445+1 : TPTP v8.1.0. Released v2.1.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n015.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 22:07:36 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (21627)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.50  % (21620)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.50  % (21643)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.50  % (21628)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51  % (21635)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.51  % (21637)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.51  % (21629)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.51  % (21626)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51  % (21621)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (21615)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.52  % (21644)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.53  % (21618)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.39/0.53  % (21619)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.39/0.53  % (21616)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.39/0.53  % (21630)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.39/0.54  % (21641)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.39/0.54  % (21631)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.39/0.54  Detected maximum model sizes of [30]
% 1.39/0.54  TRYING [1]
% 1.39/0.54  TRYING [2]
% 1.39/0.54  % (21633)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.39/0.54  Detected maximum model sizes of [30]
% 1.39/0.54  TRYING [1]
% 1.39/0.54  % (21642)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.39/0.54  TRYING [2]
% 1.39/0.55  % (21623)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.39/0.55  % (21639)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.50/0.55  % (21617)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.50/0.55  TRYING [3]
% 1.50/0.55  % (21622)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.50/0.55  % (21625)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.50/0.55  % (21634)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.50/0.55  % (21638)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.50/0.56  TRYING [4]
% 1.50/0.56  % (21632)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.50/0.56  % (21618)First to succeed.
% 1.50/0.56  % (21623)Instruction limit reached!
% 1.50/0.56  % (21623)------------------------------
% 1.50/0.56  % (21623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56  % (21623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56  % (21623)Termination reason: Unknown
% 1.50/0.56  % (21623)Termination phase: Preprocessing 3
% 1.50/0.56  
% 1.50/0.56  % (21623)Memory used [KB]: 1151
% 1.50/0.56  % (21623)Time elapsed: 0.005 s
% 1.50/0.56  % (21623)Instructions burned: 3 (million)
% 1.50/0.56  % (21623)------------------------------
% 1.50/0.56  % (21623)------------------------------
% 1.50/0.56  % (21640)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.50/0.57  TRYING [3]
% 1.50/0.57  % (21636)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.50/0.57  TRYING [4]
% 1.50/0.57  % (21622)Instruction limit reached!
% 1.50/0.57  % (21622)------------------------------
% 1.50/0.57  % (21622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.57  % (21622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.57  % (21622)Termination reason: Unknown
% 1.50/0.57  % (21622)Termination phase: Saturation
% 1.50/0.57  
% 1.50/0.57  % (21622)Memory used [KB]: 6140
% 1.50/0.57  % (21622)Time elapsed: 0.005 s
% 1.50/0.57  % (21622)Instructions burned: 8 (million)
% 1.50/0.57  % (21622)------------------------------
% 1.50/0.57  % (21622)------------------------------
% 1.50/0.57  % (21620)Instruction limit reached!
% 1.50/0.57  % (21620)------------------------------
% 1.50/0.57  % (21620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.57  % (21624)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.50/0.57  % (21620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.57  % (21620)Termination reason: Unknown
% 1.50/0.57  % (21620)Termination phase: Saturation
% 1.50/0.57  
% 1.50/0.57  % (21620)Memory used [KB]: 7036
% 1.50/0.57  % (21620)Time elapsed: 0.157 s
% 1.50/0.57  % (21620)Instructions burned: 49 (million)
% 1.50/0.57  % (21620)------------------------------
% 1.50/0.57  % (21620)------------------------------
% 1.50/0.58  TRYING [5]
% 1.50/0.58  Detected maximum model sizes of [30]
% 1.50/0.58  TRYING [1]
% 1.50/0.58  % (21644)Also succeeded, but the first one will report.
% 1.50/0.58  % (21618)Refutation found. Thanks to Tanya!
% 1.50/0.58  % SZS status Theorem for theBenchmark
% 1.50/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.59  % (21618)------------------------------
% 1.50/0.59  % (21618)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.59  % (21618)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.59  % (21618)Termination reason: Refutation
% 1.50/0.59  
% 1.50/0.59  % (21618)Memory used [KB]: 6780
% 1.50/0.59  % (21618)Time elapsed: 0.148 s
% 1.50/0.59  % (21618)Instructions burned: 22 (million)
% 1.50/0.59  % (21618)------------------------------
% 1.50/0.59  % (21618)------------------------------
% 1.50/0.59  % (21614)Success in time 0.23 s
%------------------------------------------------------------------------------