TSTP Solution File: SYN448+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN448+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 : n022.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 19:38:04 EDT 2022

% Result   : Theorem 1.73s 0.60s
% Output   : Refutation 1.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  126
% Syntax   : Number of formulae    :  508 (   1 unt;   0 def)
%            Number of atoms       : 5187 (   0 equ)
%            Maximal formula atoms :  603 (  10 avg)
%            Number of connectives : 6815 (2136   ~;3132   |;1050   &)
%                                         ( 125 <=>; 372  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   98 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  160 ( 159 usr; 156 prp; 0-1 aty)
%            Number of functors    :   29 (  29 usr;  29 con; 0-0 aty)
%            Number of variables   :  661 ( 661   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2094,plain,
    $false,
    inference(avatar_sat_refutation,[],[f191,f205,f219,f228,f256,f265,f274,f279,f284,f292,f305,f336,f341,f355,f362,f363,f368,f373,f387,f392,f405,f420,f427,f441,f450,f455,f460,f474,f484,f489,f494,f506,f507,f513,f518,f528,f532,f537,f543,f548,f562,f567,f568,f578,f585,f590,f597,f602,f607,f612,f626,f631,f636,f645,f651,f652,f659,f660,f665,f667,f673,f678,f691,f696,f707,f718,f724,f729,f736,f740,f746,f751,f756,f761,f762,f767,f772,f773,f783,f788,f798,f802,f803,f817,f823,f830,f836,f866,f876,f881,f887,f893,f898,f903,f904,f906,f911,f924,f929,f961,f989,f1009,f1010,f1023,f1052,f1118,f1138,f1143,f1148,f1159,f1161,f1171,f1197,f1198,f1206,f1209,f1231,f1249,f1280,f1281,f1292,f1295,f1313,f1346,f1348,f1371,f1385,f1419,f1425,f1457,f1466,f1483,f1484,f1534,f1552,f1563,f1588,f1601,f1637,f1640,f1665,f1666,f1667,f1712,f1726,f1729,f1730,f1742,f1787,f1803,f1838,f1870,f1998,f2083,f2087,f2093]) ).

fof(f2093,plain,
    ( spl0_63
    | spl0_153
    | ~ spl0_56
    | spl0_96 ),
    inference(avatar_split_clause,[],[f2092,f623,f425,f958,f457]) ).

fof(f457,plain,
    ( spl0_63
  <=> c2_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f958,plain,
    ( spl0_153
  <=> c0_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f425,plain,
    ( spl0_56
  <=> ! [X78] :
        ( c0_1(X78)
        | c2_1(X78)
        | c1_1(X78) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f623,plain,
    ( spl0_96
  <=> c1_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f2092,plain,
    ( c0_1(a488)
    | c2_1(a488)
    | ~ spl0_56
    | spl0_96 ),
    inference(resolution,[],[f625,f426]) ).

fof(f426,plain,
    ( ! [X78] :
        ( c1_1(X78)
        | c2_1(X78)
        | c0_1(X78) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f625,plain,
    ( ~ c1_1(a488)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f623]) ).

fof(f2087,plain,
    ( spl0_159
    | spl0_143
    | ~ spl0_56
    | spl0_112 ),
    inference(avatar_split_clause,[],[f1974,f715,f425,f890,f1048]) ).

fof(f1048,plain,
    ( spl0_159
  <=> c0_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f890,plain,
    ( spl0_143
  <=> c2_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f715,plain,
    ( spl0_112
  <=> c1_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1974,plain,
    ( c2_1(a474)
    | c0_1(a474)
    | ~ spl0_56
    | spl0_112 ),
    inference(resolution,[],[f426,f717]) ).

fof(f717,plain,
    ( ~ c1_1(a474)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f2083,plain,
    ( spl0_25
    | ~ spl0_56
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2080,f689,f425,f286]) ).

fof(f286,plain,
    ( spl0_25
  <=> ! [X52] :
        ( c3_1(X52)
        | c0_1(X52)
        | c2_1(X52) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f689,plain,
    ( spl0_107
  <=> ! [X33] :
        ( c2_1(X33)
        | ~ c1_1(X33)
        | c3_1(X33) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2080,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_56
    | ~ spl0_107 ),
    inference(duplicate_literal_removal,[],[f2062]) ).

fof(f2062,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_56
    | ~ spl0_107 ),
    inference(resolution,[],[f690,f426]) ).

fof(f690,plain,
    ( ! [X33] :
        ( ~ c1_1(X33)
        | c2_1(X33)
        | c3_1(X33) )
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f1998,plain,
    ( spl0_118
    | spl0_150
    | ~ spl0_17
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f1988,f445,f249,f934,f748]) ).

fof(f748,plain,
    ( spl0_118
  <=> c3_1(a475) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f934,plain,
    ( spl0_150
  <=> c2_1(a475) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f249,plain,
    ( spl0_17
  <=> c0_1(a475) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f445,plain,
    ( spl0_60
  <=> ! [X41] :
        ( c2_1(X41)
        | c3_1(X41)
        | ~ c0_1(X41) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1988,plain,
    ( c2_1(a475)
    | c3_1(a475)
    | ~ spl0_17
    | ~ spl0_60 ),
    inference(resolution,[],[f446,f251]) ).

fof(f251,plain,
    ( c0_1(a475)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f446,plain,
    ( ! [X41] :
        ( ~ c0_1(X41)
        | c3_1(X41)
        | c2_1(X41) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f1870,plain,
    ( ~ spl0_97
    | spl0_151
    | ~ spl0_13
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1569,f764,f234,f939,f628]) ).

fof(f628,plain,
    ( spl0_97
  <=> c3_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f939,plain,
    ( spl0_151
  <=> c0_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f234,plain,
    ( spl0_13
  <=> ! [X56] :
        ( ~ c1_1(X56)
        | ~ c3_1(X56)
        | c0_1(X56) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f764,plain,
    ( spl0_121
  <=> c1_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1569,plain,
    ( c0_1(a492)
    | ~ c3_1(a492)
    | ~ spl0_13
    | ~ spl0_121 ),
    inference(resolution,[],[f235,f766]) ).

fof(f766,plain,
    ( c1_1(a492)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f235,plain,
    ( ! [X56] :
        ( ~ c1_1(X56)
        | ~ c3_1(X56)
        | c0_1(X56) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f1838,plain,
    ( spl0_120
    | spl0_161
    | ~ spl0_35
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f1829,f360,f329,f1095,f758]) ).

fof(f758,plain,
    ( spl0_120
  <=> c2_1(a468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1095,plain,
    ( spl0_161
  <=> c1_1(a468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f329,plain,
    ( spl0_35
  <=> c0_1(a468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f360,plain,
    ( spl0_42
  <=> ! [X26] :
        ( c2_1(X26)
        | ~ c0_1(X26)
        | c1_1(X26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1829,plain,
    ( c1_1(a468)
    | c2_1(a468)
    | ~ spl0_35
    | ~ spl0_42 ),
    inference(resolution,[],[f361,f331]) ).

fof(f331,plain,
    ( c0_1(a468)
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f361,plain,
    ( ! [X26] :
        ( ~ c0_1(X26)
        | c2_1(X26)
        | c1_1(X26) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f1803,plain,
    ( ~ spl0_84
    | spl0_163
    | ~ spl0_3
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1798,f908,f193,f1145,f559]) ).

fof(f559,plain,
    ( spl0_84
  <=> c2_1(a503) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1145,plain,
    ( spl0_163
  <=> c0_1(a503) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f193,plain,
    ( spl0_3
  <=> ! [X67] :
        ( c0_1(X67)
        | ~ c2_1(X67)
        | ~ c3_1(X67) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f908,plain,
    ( spl0_146
  <=> c3_1(a503) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f1798,plain,
    ( c0_1(a503)
    | ~ c2_1(a503)
    | ~ spl0_3
    | ~ spl0_146 ),
    inference(resolution,[],[f194,f910]) ).

fof(f910,plain,
    ( c3_1(a503)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f194,plain,
    ( ! [X67] :
        ( ~ c3_1(X67)
        | c0_1(X67)
        | ~ c2_1(X67) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f193]) ).

fof(f1787,plain,
    ( spl0_159
    | spl0_143
    | ~ spl0_29
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1776,f675,f303,f890,f1048]) ).

fof(f303,plain,
    ( spl0_29
  <=> ! [X82] :
        ( c2_1(X82)
        | ~ c3_1(X82)
        | c0_1(X82) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f675,plain,
    ( spl0_105
  <=> c3_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1776,plain,
    ( c2_1(a474)
    | c0_1(a474)
    | ~ spl0_29
    | ~ spl0_105 ),
    inference(resolution,[],[f304,f677]) ).

fof(f677,plain,
    ( c3_1(a474)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f304,plain,
    ( ! [X82] :
        ( ~ c3_1(X82)
        | c0_1(X82)
        | c2_1(X82) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f1742,plain,
    ( ~ spl0_103
    | spl0_171
    | ~ spl0_138
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1739,f900,f864,f1422,f662]) ).

fof(f662,plain,
    ( spl0_103
  <=> c0_1(a461) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1422,plain,
    ( spl0_171
  <=> c1_1(a461) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f864,plain,
    ( spl0_138
  <=> ! [X59] :
        ( c1_1(X59)
        | ~ c2_1(X59)
        | ~ c0_1(X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f900,plain,
    ( spl0_145
  <=> c2_1(a461) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1739,plain,
    ( c1_1(a461)
    | ~ c0_1(a461)
    | ~ spl0_138
    | ~ spl0_145 ),
    inference(resolution,[],[f902,f865]) ).

fof(f865,plain,
    ( ! [X59] :
        ( ~ c2_1(X59)
        | ~ c0_1(X59)
        | c1_1(X59) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f902,plain,
    ( c2_1(a461)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f900]) ).

fof(f1730,plain,
    ( ~ spl0_164
    | ~ spl0_70
    | ~ spl0_61
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1635,f540,f448,f491,f1168]) ).

fof(f1168,plain,
    ( spl0_164
  <=> c0_1(a470) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f491,plain,
    ( spl0_70
  <=> c3_1(a470) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f448,plain,
    ( spl0_61
  <=> ! [X42] :
        ( ~ c3_1(X42)
        | ~ c1_1(X42)
        | ~ c0_1(X42) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f540,plain,
    ( spl0_80
  <=> c1_1(a470) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1635,plain,
    ( ~ c3_1(a470)
    | ~ c0_1(a470)
    | ~ spl0_61
    | ~ spl0_80 ),
    inference(resolution,[],[f449,f542]) ).

fof(f542,plain,
    ( c1_1(a470)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f449,plain,
    ( ! [X42] :
        ( ~ c1_1(X42)
        | ~ c0_1(X42)
        | ~ c3_1(X42) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f1729,plain,
    ( spl0_152
    | spl0_98
    | spl0_37
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1657,f619,f338,f633,f953]) ).

fof(f953,plain,
    ( spl0_152
  <=> c3_1(a480) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f633,plain,
    ( spl0_98
  <=> c2_1(a480) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f338,plain,
    ( spl0_37
  <=> c1_1(a480) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f619,plain,
    ( spl0_95
  <=> ! [X51] :
        ( c2_1(X51)
        | c3_1(X51)
        | c1_1(X51) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1657,plain,
    ( c2_1(a480)
    | c3_1(a480)
    | spl0_37
    | ~ spl0_95 ),
    inference(resolution,[],[f620,f340]) ).

fof(f340,plain,
    ( ~ c1_1(a480)
    | spl0_37 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f620,plain,
    ( ! [X51] :
        ( c1_1(X51)
        | c3_1(X51)
        | c2_1(X51) )
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f1726,plain,
    ( spl0_23
    | ~ spl0_19
    | ~ spl0_127
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1719,f864,f795,f258,f276]) ).

fof(f276,plain,
    ( spl0_23
  <=> c1_1(a476) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f258,plain,
    ( spl0_19
  <=> c0_1(a476) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f795,plain,
    ( spl0_127
  <=> c2_1(a476) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1719,plain,
    ( ~ c0_1(a476)
    | c1_1(a476)
    | ~ spl0_127
    | ~ spl0_138 ),
    inference(resolution,[],[f865,f797]) ).

fof(f797,plain,
    ( c2_1(a476)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f1712,plain,
    ( spl0_25
    | ~ spl0_95
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1705,f738,f619,f286]) ).

fof(f738,plain,
    ( spl0_116
  <=> ! [X49] :
        ( c3_1(X49)
        | ~ c1_1(X49)
        | c0_1(X49) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1705,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_95
    | ~ spl0_116 ),
    inference(duplicate_literal_removal,[],[f1692]) ).

fof(f1692,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_95
    | ~ spl0_116 ),
    inference(resolution,[],[f739,f620]) ).

fof(f739,plain,
    ( ! [X49] :
        ( ~ c1_1(X49)
        | c0_1(X49)
        | c3_1(X49) )
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f1667,plain,
    ( spl0_75
    | spl0_174
    | ~ spl0_95
    | spl0_122 ),
    inference(avatar_split_clause,[],[f1663,f769,f619,f1590,f515]) ).

fof(f515,plain,
    ( spl0_75
  <=> c3_1(a533) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1590,plain,
    ( spl0_174
  <=> c2_1(a533) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f769,plain,
    ( spl0_122
  <=> c1_1(a533) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1663,plain,
    ( c2_1(a533)
    | c3_1(a533)
    | ~ spl0_95
    | spl0_122 ),
    inference(resolution,[],[f620,f771]) ).

fof(f771,plain,
    ( ~ c1_1(a533)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f1666,plain,
    ( spl0_160
    | spl0_142
    | ~ spl0_95
    | spl0_119 ),
    inference(avatar_split_clause,[],[f1659,f753,f619,f884,f1055]) ).

fof(f1055,plain,
    ( spl0_160
  <=> c2_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f884,plain,
    ( spl0_142
  <=> c3_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f753,plain,
    ( spl0_119
  <=> c1_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1659,plain,
    ( c3_1(a494)
    | c2_1(a494)
    | ~ spl0_95
    | spl0_119 ),
    inference(resolution,[],[f620,f755]) ).

fof(f755,plain,
    ( ~ c1_1(a494)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f1665,plain,
    ( spl0_117
    | spl0_63
    | ~ spl0_95
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1658,f623,f619,f457,f743]) ).

fof(f743,plain,
    ( spl0_117
  <=> c3_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1658,plain,
    ( c2_1(a488)
    | c3_1(a488)
    | ~ spl0_95
    | spl0_96 ),
    inference(resolution,[],[f620,f625]) ).

fof(f1640,plain,
    ( ~ spl0_97
    | ~ spl0_151
    | ~ spl0_61
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1630,f764,f448,f939,f628]) ).

fof(f1630,plain,
    ( ~ c0_1(a492)
    | ~ c3_1(a492)
    | ~ spl0_61
    | ~ spl0_121 ),
    inference(resolution,[],[f449,f766]) ).

fof(f1637,plain,
    ( ~ spl0_88
    | ~ spl0_35
    | ~ spl0_61
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1625,f1095,f448,f329,f582]) ).

fof(f582,plain,
    ( spl0_88
  <=> c3_1(a468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1625,plain,
    ( ~ c0_1(a468)
    | ~ c3_1(a468)
    | ~ spl0_61
    | ~ spl0_161 ),
    inference(resolution,[],[f449,f1097]) ).

fof(f1097,plain,
    ( c1_1(a468)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1095]) ).

fof(f1601,plain,
    ( spl0_122
    | spl0_75
    | ~ spl0_4
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1600,f1590,f196,f515,f769]) ).

fof(f196,plain,
    ( spl0_4
  <=> ! [X66] :
        ( ~ c2_1(X66)
        | c1_1(X66)
        | c3_1(X66) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1600,plain,
    ( c3_1(a533)
    | c1_1(a533)
    | ~ spl0_4
    | ~ spl0_174 ),
    inference(resolution,[],[f1592,f197]) ).

fof(f197,plain,
    ( ! [X66] :
        ( ~ c2_1(X66)
        | c3_1(X66)
        | c1_1(X66) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f196]) ).

fof(f1592,plain,
    ( c2_1(a533)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1590]) ).

fof(f1588,plain,
    ( spl0_143
    | spl0_112
    | ~ spl0_42
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1576,f1048,f360,f715,f890]) ).

fof(f1576,plain,
    ( c1_1(a474)
    | c2_1(a474)
    | ~ spl0_42
    | ~ spl0_159 ),
    inference(resolution,[],[f361,f1050]) ).

fof(f1050,plain,
    ( c0_1(a474)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1048]) ).

fof(f1563,plain,
    ( spl0_119
    | spl0_142
    | ~ spl0_4
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1559,f1055,f196,f884,f753]) ).

fof(f1559,plain,
    ( c3_1(a494)
    | c1_1(a494)
    | ~ spl0_4
    | ~ spl0_160 ),
    inference(resolution,[],[f197,f1057]) ).

fof(f1057,plain,
    ( c2_1(a494)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1055]) ).

fof(f1552,plain,
    ( ~ spl0_93
    | spl0_48
    | ~ spl0_3
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1544,f486,f193,f389,f609]) ).

fof(f609,plain,
    ( spl0_93
  <=> c2_1(a502) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f389,plain,
    ( spl0_48
  <=> c0_1(a502) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f486,plain,
    ( spl0_69
  <=> c3_1(a502) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1544,plain,
    ( c0_1(a502)
    | ~ c2_1(a502)
    | ~ spl0_3
    | ~ spl0_69 ),
    inference(resolution,[],[f194,f488]) ).

fof(f488,plain,
    ( c3_1(a502)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f1534,plain,
    ( spl0_141
    | spl0_87
    | ~ spl0_4
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1529,f895,f196,f575,f878]) ).

fof(f878,plain,
    ( spl0_141
  <=> c1_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f575,plain,
    ( spl0_87
  <=> c3_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f895,plain,
    ( spl0_144
  <=> c2_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1529,plain,
    ( c3_1(a471)
    | c1_1(a471)
    | ~ spl0_4
    | ~ spl0_144 ),
    inference(resolution,[],[f197,f897]) ).

fof(f897,plain,
    ( c2_1(a471)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f895]) ).

fof(f1484,plain,
    ( spl0_172
    | spl0_87
    | ~ spl0_51
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1478,f895,f403,f575,f1480]) ).

fof(f1480,plain,
    ( spl0_172
  <=> c0_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f403,plain,
    ( spl0_51
  <=> ! [X45] :
        ( ~ c2_1(X45)
        | c3_1(X45)
        | c0_1(X45) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1478,plain,
    ( c3_1(a471)
    | c0_1(a471)
    | ~ spl0_51
    | ~ spl0_144 ),
    inference(resolution,[],[f897,f404]) ).

fof(f404,plain,
    ( ! [X45] :
        ( ~ c2_1(X45)
        | c3_1(X45)
        | c0_1(X45) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f1483,plain,
    ( spl0_87
    | ~ spl0_172
    | ~ spl0_33
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1477,f895,f321,f1480,f575]) ).

fof(f321,plain,
    ( spl0_33
  <=> ! [X84] :
        ( ~ c2_1(X84)
        | c3_1(X84)
        | ~ c0_1(X84) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1477,plain,
    ( ~ c0_1(a471)
    | c3_1(a471)
    | ~ spl0_33
    | ~ spl0_144 ),
    inference(resolution,[],[f897,f322]) ).

fof(f322,plain,
    ( ! [X84] :
        ( ~ c2_1(X84)
        | c3_1(X84)
        | ~ c0_1(X84) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f1466,plain,
    ( spl0_140
    | ~ spl0_81
    | ~ spl0_41
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1464,f670,f357,f545,f873]) ).

fof(f873,plain,
    ( spl0_140
  <=> c0_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f545,plain,
    ( spl0_81
  <=> c2_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f357,plain,
    ( spl0_41
  <=> ! [X25] :
        ( ~ c2_1(X25)
        | c0_1(X25)
        | ~ c1_1(X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f670,plain,
    ( spl0_104
  <=> c1_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1464,plain,
    ( ~ c2_1(a500)
    | c0_1(a500)
    | ~ spl0_41
    | ~ spl0_104 ),
    inference(resolution,[],[f672,f358]) ).

fof(f358,plain,
    ( ! [X25] :
        ( ~ c1_1(X25)
        | c0_1(X25)
        | ~ c2_1(X25) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f672,plain,
    ( c1_1(a500)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f1457,plain,
    ( ~ spl0_10
    | ~ spl0_103
    | ~ spl0_61
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1454,f1422,f448,f662,f221]) ).

fof(f221,plain,
    ( spl0_10
  <=> c3_1(a461) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1454,plain,
    ( ~ c0_1(a461)
    | ~ c3_1(a461)
    | ~ spl0_61
    | ~ spl0_171 ),
    inference(resolution,[],[f1424,f449]) ).

fof(f1424,plain,
    ( c1_1(a461)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1422]) ).

fof(f1425,plain,
    ( spl0_171
    | ~ spl0_145
    | ~ spl0_10
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1408,f600,f221,f900,f1422]) ).

fof(f600,plain,
    ( spl0_91
  <=> ! [X29] :
        ( c1_1(X29)
        | ~ c2_1(X29)
        | ~ c3_1(X29) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1408,plain,
    ( ~ c2_1(a461)
    | c1_1(a461)
    | ~ spl0_10
    | ~ spl0_91 ),
    inference(resolution,[],[f601,f223]) ).

fof(f223,plain,
    ( c3_1(a461)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f601,plain,
    ( ! [X29] :
        ( ~ c3_1(X29)
        | ~ c2_1(X29)
        | c1_1(X29) )
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f1419,plain,
    ( ~ spl0_84
    | spl0_130
    | ~ spl0_91
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1406,f908,f600,f814,f559]) ).

fof(f814,plain,
    ( spl0_130
  <=> c1_1(a503) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1406,plain,
    ( c1_1(a503)
    | ~ c2_1(a503)
    | ~ spl0_91
    | ~ spl0_146 ),
    inference(resolution,[],[f601,f910]) ).

fof(f1385,plain,
    ( spl0_115
    | ~ spl0_89
    | ~ spl0_33
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f1377,f438,f321,f587,f733]) ).

fof(f733,plain,
    ( spl0_115
  <=> c3_1(a483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f587,plain,
    ( spl0_89
  <=> c0_1(a483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f438,plain,
    ( spl0_59
  <=> c2_1(a483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1377,plain,
    ( ~ c0_1(a483)
    | c3_1(a483)
    | ~ spl0_33
    | ~ spl0_59 ),
    inference(resolution,[],[f322,f440]) ).

fof(f440,plain,
    ( c2_1(a483)
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f1371,plain,
    ( ~ spl0_17
    | ~ spl0_150
    | ~ spl0_32
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1366,f534,f317,f934,f249]) ).

fof(f317,plain,
    ( spl0_32
  <=> ! [X39] :
        ( ~ c0_1(X39)
        | ~ c1_1(X39)
        | ~ c2_1(X39) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f534,plain,
    ( spl0_79
  <=> c1_1(a475) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1366,plain,
    ( ~ c2_1(a475)
    | ~ c0_1(a475)
    | ~ spl0_32
    | ~ spl0_79 ),
    inference(resolution,[],[f318,f536]) ).

fof(f536,plain,
    ( c1_1(a475)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f318,plain,
    ( ! [X39] :
        ( ~ c1_1(X39)
        | ~ c2_1(X39)
        | ~ c0_1(X39) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f1348,plain,
    ( spl0_44
    | spl0_110
    | ~ spl0_40
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f1347,f445,f352,f704,f370]) ).

fof(f370,plain,
    ( spl0_44
  <=> c3_1(a460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f704,plain,
    ( spl0_110
  <=> c2_1(a460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f352,plain,
    ( spl0_40
  <=> c0_1(a460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1347,plain,
    ( c2_1(a460)
    | c3_1(a460)
    | ~ spl0_40
    | ~ spl0_60 ),
    inference(resolution,[],[f354,f446]) ).

fof(f354,plain,
    ( c0_1(a460)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f1346,plain,
    ( spl0_63
    | spl0_117
    | ~ spl0_60
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1345,f958,f445,f743,f457]) ).

fof(f1345,plain,
    ( c3_1(a488)
    | c2_1(a488)
    | ~ spl0_60
    | ~ spl0_153 ),
    inference(resolution,[],[f960,f446]) ).

fof(f960,plain,
    ( c0_1(a488)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f958]) ).

fof(f1313,plain,
    ( spl0_125
    | spl0_68
    | spl0_21
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f1302,f286,f267,f481,f785]) ).

fof(f785,plain,
    ( spl0_125
  <=> c0_1(a465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f481,plain,
    ( spl0_68
  <=> c2_1(a465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f267,plain,
    ( spl0_21
  <=> c3_1(a465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f1302,plain,
    ( c2_1(a465)
    | c0_1(a465)
    | spl0_21
    | ~ spl0_25 ),
    inference(resolution,[],[f287,f269]) ).

fof(f269,plain,
    ( ~ c3_1(a465)
    | spl0_21 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f287,plain,
    ( ! [X52] :
        ( c3_1(X52)
        | c0_1(X52)
        | c2_1(X52) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f1295,plain,
    ( ~ spl0_62
    | spl0_108
    | ~ spl0_41
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1293,f921,f357,f693,f452]) ).

fof(f452,plain,
    ( spl0_62
  <=> c2_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f693,plain,
    ( spl0_108
  <=> c0_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f921,plain,
    ( spl0_148
  <=> c1_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1293,plain,
    ( c0_1(a478)
    | ~ c2_1(a478)
    | ~ spl0_41
    | ~ spl0_148 ),
    inference(resolution,[],[f923,f358]) ).

fof(f923,plain,
    ( c1_1(a478)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f921]) ).

fof(f1292,plain,
    ( ~ spl0_165
    | spl0_124
    | ~ spl0_41
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1290,f726,f357,f780,f1203]) ).

fof(f1203,plain,
    ( spl0_165
  <=> c2_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f780,plain,
    ( spl0_124
  <=> c0_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f726,plain,
    ( spl0_114
  <=> c1_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1290,plain,
    ( c0_1(a466)
    | ~ c2_1(a466)
    | ~ spl0_41
    | ~ spl0_114 ),
    inference(resolution,[],[f728,f358]) ).

fof(f728,plain,
    ( c1_1(a466)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f1281,plain,
    ( spl0_108
    | spl0_148
    | ~ spl0_62
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1272,f501,f452,f921,f693]) ).

fof(f501,plain,
    ( spl0_72
  <=> ! [X88] :
        ( ~ c2_1(X88)
        | c0_1(X88)
        | c1_1(X88) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1272,plain,
    ( c1_1(a478)
    | c0_1(a478)
    | ~ spl0_62
    | ~ spl0_72 ),
    inference(resolution,[],[f502,f454]) ).

fof(f454,plain,
    ( c2_1(a478)
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f502,plain,
    ( ! [X88] :
        ( ~ c2_1(X88)
        | c1_1(X88)
        | c0_1(X88) )
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f1280,plain,
    ( spl0_101
    | spl0_47
    | ~ spl0_72
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1267,f525,f501,f384,f648]) ).

fof(f648,plain,
    ( spl0_101
  <=> c0_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f384,plain,
    ( spl0_47
  <=> c1_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f525,plain,
    ( spl0_77
  <=> c2_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1267,plain,
    ( c1_1(a463)
    | c0_1(a463)
    | ~ spl0_72
    | ~ spl0_77 ),
    inference(resolution,[],[f502,f527]) ).

fof(f527,plain,
    ( c2_1(a463)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f1249,plain,
    ( spl0_48
    | ~ spl0_69
    | ~ spl0_13
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1247,f1140,f234,f486,f389]) ).

fof(f1140,plain,
    ( spl0_162
  <=> c1_1(a502) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f1247,plain,
    ( ~ c3_1(a502)
    | c0_1(a502)
    | ~ spl0_13
    | ~ spl0_162 ),
    inference(resolution,[],[f1142,f235]) ).

fof(f1142,plain,
    ( c1_1(a502)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1140]) ).

fof(f1231,plain,
    ( spl0_1
    | spl0_98
    | ~ spl0_29
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1102,f953,f303,f633,f184]) ).

fof(f184,plain,
    ( spl0_1
  <=> c0_1(a480) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1102,plain,
    ( c2_1(a480)
    | c0_1(a480)
    | ~ spl0_29
    | ~ spl0_152 ),
    inference(resolution,[],[f304,f955]) ).

fof(f955,plain,
    ( c3_1(a480)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f953]) ).

fof(f1209,plain,
    ( spl0_124
    | ~ spl0_43
    | ~ spl0_13
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1207,f726,f234,f365,f780]) ).

fof(f365,plain,
    ( spl0_43
  <=> c3_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1207,plain,
    ( ~ c3_1(a466)
    | c0_1(a466)
    | ~ spl0_13
    | ~ spl0_114 ),
    inference(resolution,[],[f728,f235]) ).

fof(f1206,plain,
    ( spl0_124
    | spl0_165
    | ~ spl0_29
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f1201,f365,f303,f1203,f780]) ).

fof(f1201,plain,
    ( c2_1(a466)
    | c0_1(a466)
    | ~ spl0_29
    | ~ spl0_43 ),
    inference(resolution,[],[f367,f304]) ).

fof(f367,plain,
    ( c3_1(a466)
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f1198,plain,
    ( ~ spl0_163
    | spl0_130
    | ~ spl0_78
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1190,f908,f530,f814,f1145]) ).

fof(f530,plain,
    ( spl0_78
  <=> ! [X91] :
        ( ~ c0_1(X91)
        | c1_1(X91)
        | ~ c3_1(X91) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1190,plain,
    ( c1_1(a503)
    | ~ c0_1(a503)
    | ~ spl0_78
    | ~ spl0_146 ),
    inference(resolution,[],[f531,f910]) ).

fof(f531,plain,
    ( ! [X91] :
        ( ~ c3_1(X91)
        | c1_1(X91)
        | ~ c0_1(X91) )
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f1197,plain,
    ( spl0_112
    | ~ spl0_159
    | ~ spl0_78
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1183,f675,f530,f1048,f715]) ).

fof(f1183,plain,
    ( ~ c0_1(a474)
    | c1_1(a474)
    | ~ spl0_78
    | ~ spl0_105 ),
    inference(resolution,[],[f531,f677]) ).

fof(f1171,plain,
    ( ~ spl0_70
    | spl0_164
    | ~ spl0_13
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1165,f540,f234,f1168,f491]) ).

fof(f1165,plain,
    ( c0_1(a470)
    | ~ c3_1(a470)
    | ~ spl0_13
    | ~ spl0_80 ),
    inference(resolution,[],[f542,f235]) ).

fof(f1161,plain,
    ( ~ spl0_84
    | ~ spl0_163
    | ~ spl0_73
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1156,f908,f504,f1145,f559]) ).

fof(f504,plain,
    ( spl0_73
  <=> ! [X87] :
        ( ~ c2_1(X87)
        | ~ c3_1(X87)
        | ~ c0_1(X87) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1156,plain,
    ( ~ c0_1(a503)
    | ~ c2_1(a503)
    | ~ spl0_73
    | ~ spl0_146 ),
    inference(resolution,[],[f505,f910]) ).

fof(f505,plain,
    ( ! [X87] :
        ( ~ c3_1(X87)
        | ~ c0_1(X87)
        | ~ c2_1(X87) )
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f504]) ).

fof(f1159,plain,
    ( ~ spl0_127
    | ~ spl0_19
    | ~ spl0_73
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1151,f926,f504,f258,f795]) ).

fof(f926,plain,
    ( spl0_149
  <=> c3_1(a476) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1151,plain,
    ( ~ c0_1(a476)
    | ~ c2_1(a476)
    | ~ spl0_73
    | ~ spl0_149 ),
    inference(resolution,[],[f505,f928]) ).

fof(f928,plain,
    ( c3_1(a476)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f926]) ).

fof(f1148,plain,
    ( spl0_163
    | spl0_130
    | ~ spl0_72
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1135,f559,f501,f814,f1145]) ).

fof(f1135,plain,
    ( c1_1(a503)
    | c0_1(a503)
    | ~ spl0_72
    | ~ spl0_84 ),
    inference(resolution,[],[f502,f561]) ).

fof(f561,plain,
    ( c2_1(a503)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f1143,plain,
    ( spl0_48
    | spl0_162
    | ~ spl0_72
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1134,f609,f501,f1140,f389]) ).

fof(f1134,plain,
    ( c1_1(a502)
    | c0_1(a502)
    | ~ spl0_72
    | ~ spl0_93 ),
    inference(resolution,[],[f502,f611]) ).

fof(f611,plain,
    ( c2_1(a502)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f609]) ).

fof(f1138,plain,
    ( spl0_119
    | spl0_99
    | ~ spl0_72
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1133,f1055,f501,f638,f753]) ).

fof(f638,plain,
    ( spl0_99
  <=> c0_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1133,plain,
    ( c0_1(a494)
    | c1_1(a494)
    | ~ spl0_72
    | ~ spl0_160 ),
    inference(resolution,[],[f502,f1057]) ).

fof(f1118,plain,
    ( spl0_85
    | spl0_108
    | ~ spl0_51
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f1111,f452,f403,f693,f564]) ).

fof(f564,plain,
    ( spl0_85
  <=> c3_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1111,plain,
    ( c0_1(a478)
    | c3_1(a478)
    | ~ spl0_51
    | ~ spl0_62 ),
    inference(resolution,[],[f404,f454]) ).

fof(f1052,plain,
    ( spl0_98
    | spl0_1
    | spl0_37
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f1041,f425,f338,f184,f633]) ).

fof(f1041,plain,
    ( c0_1(a480)
    | c2_1(a480)
    | spl0_37
    | ~ spl0_56 ),
    inference(resolution,[],[f426,f340]) ).

fof(f1023,plain,
    ( ~ spl0_40
    | spl0_110
    | ~ spl0_6
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1022,f997,f203,f704,f352]) ).

fof(f203,plain,
    ( spl0_6
  <=> ! [X68] :
        ( ~ c1_1(X68)
        | c2_1(X68)
        | ~ c0_1(X68) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f997,plain,
    ( spl0_156
  <=> c1_1(a460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f1022,plain,
    ( c2_1(a460)
    | ~ c0_1(a460)
    | ~ spl0_6
    | ~ spl0_156 ),
    inference(resolution,[],[f999,f204]) ).

fof(f204,plain,
    ( ! [X68] :
        ( ~ c1_1(X68)
        | ~ c0_1(X68)
        | c2_1(X68) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f203]) ).

fof(f999,plain,
    ( c1_1(a460)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f997]) ).

fof(f1010,plain,
    ( spl0_44
    | spl0_156
    | ~ spl0_40
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1004,f422,f352,f997,f370]) ).

fof(f422,plain,
    ( spl0_55
  <=> ! [X79] :
        ( c3_1(X79)
        | c1_1(X79)
        | ~ c0_1(X79) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1004,plain,
    ( c1_1(a460)
    | c3_1(a460)
    | ~ spl0_40
    | ~ spl0_55 ),
    inference(resolution,[],[f423,f354]) ).

fof(f423,plain,
    ( ! [X79] :
        ( ~ c0_1(X79)
        | c3_1(X79)
        | c1_1(X79) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f1009,plain,
    ( spl0_117
    | spl0_96
    | ~ spl0_55
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1006,f958,f422,f623,f743]) ).

fof(f1006,plain,
    ( c1_1(a488)
    | c3_1(a488)
    | ~ spl0_55
    | ~ spl0_153 ),
    inference(resolution,[],[f423,f960]) ).

fof(f989,plain,
    ( spl0_149
    | ~ spl0_19
    | ~ spl0_33
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f984,f795,f321,f258,f926]) ).

fof(f984,plain,
    ( ~ c0_1(a476)
    | c3_1(a476)
    | ~ spl0_33
    | ~ spl0_127 ),
    inference(resolution,[],[f322,f797]) ).

fof(f961,plain,
    ( spl0_117
    | spl0_153
    | ~ spl0_14
    | spl0_96 ),
    inference(avatar_split_clause,[],[f950,f623,f237,f958,f743]) ).

fof(f237,plain,
    ( spl0_14
  <=> ! [X57] :
        ( c0_1(X57)
        | c1_1(X57)
        | c3_1(X57) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f950,plain,
    ( c0_1(a488)
    | c3_1(a488)
    | ~ spl0_14
    | spl0_96 ),
    inference(resolution,[],[f238,f625]) ).

fof(f238,plain,
    ( ! [X57] :
        ( c1_1(X57)
        | c0_1(X57)
        | c3_1(X57) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f929,plain,
    ( spl0_149
    | spl0_23
    | ~ spl0_4
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f919,f795,f196,f276,f926]) ).

fof(f919,plain,
    ( c1_1(a476)
    | c3_1(a476)
    | ~ spl0_4
    | ~ spl0_127 ),
    inference(resolution,[],[f197,f797]) ).

fof(f924,plain,
    ( spl0_85
    | spl0_148
    | ~ spl0_4
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f917,f452,f196,f921,f564]) ).

fof(f917,plain,
    ( c1_1(a478)
    | c3_1(a478)
    | ~ spl0_4
    | ~ spl0_62 ),
    inference(resolution,[],[f197,f454]) ).

fof(f911,plain,
    ( ~ spl0_9
    | spl0_146 ),
    inference(avatar_split_clause,[],[f158,f908,f216]) ).

fof(f216,plain,
    ( spl0_9
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f158,plain,
    ( c3_1(a503)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp25
      | ! [X78] :
          ( c1_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c0_1(X79)
          | c3_1(X79)
          | c1_1(X79) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a512)
        & c3_1(a512)
        & ~ c1_1(a512) ) )
    & ( hskp0
      | ! [X3] :
          ( c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0
          | c0_1(X3) )
      | ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a500)
        & c1_1(a500)
        & ndr1_0
        & ~ c0_1(a500) )
      | ~ hskp18 )
    & ( ( ndr1_0
        & c3_1(a502)
        & ~ c0_1(a502)
        & c2_1(a502) )
      | ~ hskp19 )
    & ( ! [X56] :
          ( ~ c1_1(X56)
          | ~ ndr1_0
          | c0_1(X56)
          | ~ c3_1(X56) )
      | ! [X57] :
          ( ~ ndr1_0
          | c1_1(X57)
          | c3_1(X57)
          | c0_1(X57) )
      | hskp3 )
    & ( ( ndr1_0
        & ~ c3_1(a488)
        & ~ c2_1(a488)
        & ~ c1_1(a488) )
      | ~ hskp14 )
    & ( hskp8
      | hskp15
      | hskp16 )
    & ( ( c1_1(a473)
        & ndr1_0
        & c0_1(a473)
        & c3_1(a473) )
      | ~ hskp27 )
    & ( ~ hskp0
      | ( ~ c2_1(a460)
        & ~ c3_1(a460)
        & ndr1_0
        & c0_1(a460) ) )
    & ( ~ hskp11
      | ( c2_1(a478)
        & ~ c3_1(a478)
        & ndr1_0
        & ~ c0_1(a478) ) )
    & ( ! [X12] :
          ( c1_1(X12)
          | ~ ndr1_0
          | c3_1(X12)
          | c0_1(X12) )
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ ndr1_0
          | c2_1(X11)
          | c3_1(X11)
          | c1_1(X11) ) )
    & ( hskp7
      | ! [X77] :
          ( ~ c3_1(X77)
          | c0_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c0_1(X76)
          | ~ c1_1(X76)
          | ~ c2_1(X76) ) )
    & ( ~ hskp4
      | ( c3_1(a467)
        & ndr1_0
        & ~ c0_1(a467)
        & ~ c1_1(a467) ) )
    & ( hskp6
      | hskp20
      | hskp12 )
    & ( ( ~ c3_1(a477)
        & ndr1_0
        & c2_1(a477)
        & c1_1(a477) )
      | ~ hskp10 )
    & ( hskp12
      | hskp14
      | ! [X17] :
          ( c3_1(X17)
          | c1_1(X17)
          | ~ ndr1_0
          | ~ c2_1(X17) ) )
    & ( hskp22
      | hskp27
      | hskp17 )
    & ( ( ndr1_0
        & c3_1(a492)
        & ~ c2_1(a492)
        & c1_1(a492) )
      | ~ hskp15 )
    & ( ! [X15] :
          ( c1_1(X15)
          | ~ ndr1_0
          | c0_1(X15)
          | c3_1(X15) )
      | hskp4
      | ! [X16] :
          ( ~ c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0
          | ~ c1_1(X16) ) )
    & ( ! [X26] :
          ( ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0
          | c2_1(X26) )
      | ! [X25] :
          ( c0_1(X25)
          | ~ c1_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X89] :
          ( ~ c1_1(X89)
          | ~ ndr1_0
          | c0_1(X89)
          | c2_1(X89) )
      | ! [X90] :
          ( ~ c3_1(X90)
          | ~ c2_1(X90)
          | ~ ndr1_0
          | c1_1(X90) )
      | hskp8 )
    & ( ! [X33] :
          ( c3_1(X33)
          | c2_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | hskp7
      | hskp11 )
    & ( ! [X52] :
          ( c3_1(X52)
          | c0_1(X52)
          | ~ ndr1_0
          | c2_1(X52) )
      | hskp0
      | ! [X53] :
          ( c0_1(X53)
          | c3_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp0
      | ! [X92] :
          ( c1_1(X92)
          | ~ ndr1_0
          | c2_1(X92)
          | c0_1(X92) ) )
    & ( ! [X88] :
          ( ~ c2_1(X88)
          | ~ ndr1_0
          | c0_1(X88)
          | c1_1(X88) )
      | hskp26
      | ! [X87] :
          ( ~ c2_1(X87)
          | ~ ndr1_0
          | ~ c0_1(X87)
          | ~ c3_1(X87) ) )
    & ( ~ hskp16
      | ( c1_1(a493)
        & ~ c0_1(a493)
        & ~ c2_1(a493)
        & ndr1_0 ) )
    & ( ! [X73] :
          ( ~ ndr1_0
          | c3_1(X73)
          | c2_1(X73)
          | c1_1(X73) )
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ ndr1_0
          | ~ c1_1(X71)
          | ~ c0_1(X71) )
      | ! [X72] :
          ( c0_1(X72)
          | ~ c3_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a524)
        & ~ c2_1(a524)
        & ndr1_0
        & c0_1(a524) )
      | ~ hskp22 )
    & ( hskp15
      | ! [X80] :
          ( ~ c3_1(X80)
          | ~ ndr1_0
          | c2_1(X80)
          | ~ c1_1(X80) )
      | hskp12 )
    & ( ! [X29] :
          ( ~ ndr1_0
          | c1_1(X29)
          | ~ c2_1(X29)
          | ~ c3_1(X29) )
      | ! [X27] :
          ( c1_1(X27)
          | c2_1(X27)
          | ~ ndr1_0
          | c0_1(X27) )
      | ! [X28] :
          ( c3_1(X28)
          | ~ ndr1_0
          | ~ c0_1(X28)
          | ~ c2_1(X28) ) )
    & ( ~ hskp6
      | ( ~ c1_1(a471)
        & c2_1(a471)
        & ndr1_0
        & ~ c3_1(a471) ) )
    & ( hskp3
      | ! [X42] :
          ( ~ c0_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0
          | ~ c1_1(X42) )
      | ! [X41] :
          ( c2_1(X41)
          | ~ ndr1_0
          | ~ c0_1(X41)
          | c3_1(X41) ) )
    & ( ! [X81] :
          ( c2_1(X81)
          | ~ ndr1_0
          | ~ c3_1(X81)
          | c1_1(X81) )
      | hskp7
      | hskp12 )
    & ( ~ hskp7
      | ( ~ c1_1(a474)
        & c3_1(a474)
        & ndr1_0
        & ~ c2_1(a474) ) )
    & ( ~ hskp17
      | ( ~ c3_1(a494)
        & ~ c1_1(a494)
        & ndr1_0
        & ~ c0_1(a494) ) )
    & ( ~ hskp23
      | ( c0_1(a533)
        & ~ c1_1(a533)
        & ndr1_0
        & ~ c3_1(a533) ) )
    & ( hskp20
      | ! [X0] :
          ( ~ ndr1_0
          | ~ c2_1(X0)
          | c3_1(X0)
          | c1_1(X0) )
      | hskp19 )
    & ( hskp17
      | hskp16
      | ! [X18] :
          ( c1_1(X18)
          | ~ ndr1_0
          | c2_1(X18)
          | ~ c0_1(X18) ) )
    & ( ! [X2] :
          ( ~ c0_1(X2)
          | ~ ndr1_0
          | c3_1(X2)
          | c2_1(X2) )
      | hskp1
      | ! [X1] :
          ( ~ c0_1(X1)
          | ~ ndr1_0
          | ~ c1_1(X1)
          | ~ c2_1(X1) ) )
    & ( hskp14
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c0_1(X37)
          | ~ c3_1(X37)
          | ~ c2_1(X37) )
      | ! [X36] :
          ( c0_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0
          | ~ c3_1(X36) ) )
    & ( ~ hskp1
      | ( ~ c1_1(a463)
        & c2_1(a463)
        & ~ c0_1(a463)
        & ndr1_0 ) )
    & ( ! [X65] :
          ( ~ c1_1(X65)
          | c0_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ c0_1(X64)
          | c3_1(X64)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X75] :
          ( ~ ndr1_0
          | ~ c3_1(X75)
          | ~ c2_1(X75)
          | ~ c1_1(X75) )
      | hskp4
      | ! [X74] :
          ( c1_1(X74)
          | ~ ndr1_0
          | c3_1(X74)
          | c0_1(X74) ) )
    & ( ~ hskp2
      | ( ~ c2_1(a465)
        & ~ c0_1(a465)
        & ~ c3_1(a465)
        & ndr1_0 ) )
    & ( hskp5
      | hskp25
      | hskp14 )
    & ( ! [X63] :
          ( c1_1(X63)
          | ~ ndr1_0
          | c3_1(X63)
          | ~ c0_1(X63) )
      | hskp27
      | hskp16 )
    & ( ! [X31] :
          ( ~ c3_1(X31)
          | c0_1(X31)
          | ~ ndr1_0
          | ~ c1_1(X31) )
      | ! [X32] :
          ( c3_1(X32)
          | ~ ndr1_0
          | c2_1(X32)
          | ~ c0_1(X32) )
      | ! [X30] :
          ( c0_1(X30)
          | ~ ndr1_0
          | c2_1(X30)
          | c1_1(X30) ) )
    & ( ! [X91] :
          ( ~ ndr1_0
          | ~ c3_1(X91)
          | ~ c0_1(X91)
          | c1_1(X91) )
      | hskp12
      | hskp3 )
    & ( ( ~ c0_1(a480)
        & ~ c1_1(a480)
        & ~ c2_1(a480)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( c0_1(a461)
        & c3_1(a461)
        & c2_1(a461)
        & ndr1_0 )
      | ~ hskp25 )
    & ( hskp11
      | ! [X48] :
          ( ~ c2_1(X48)
          | ~ c0_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c1_1(X49)
          | c0_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp6
      | hskp10 )
    & ( ! [X51] :
          ( c3_1(X51)
          | c2_1(X51)
          | ~ ndr1_0
          | c1_1(X51) )
      | ! [X50] :
          ( c3_1(X50)
          | c2_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ( c1_1(a466)
        & ndr1_0
        & c3_1(a466)
        & ~ c0_1(a466) )
      | ~ hskp3 )
    & ( ! [X6] :
          ( ~ ndr1_0
          | c3_1(X6)
          | c0_1(X6)
          | c1_1(X6) )
      | hskp5
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c0_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X7] :
          ( ~ c3_1(X7)
          | ~ ndr1_0
          | c2_1(X7)
          | ~ c0_1(X7) )
      | ! [X8] :
          ( ~ ndr1_0
          | c2_1(X8)
          | ~ c1_1(X8)
          | c3_1(X8) )
      | hskp21 )
    & ( hskp23
      | hskp20
      | hskp9 )
    & ( ( c0_1(a475)
        & c1_1(a475)
        & ndr1_0
        & ~ c3_1(a475) )
      | ~ hskp8 )
    & ( hskp10
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c1_1(X9)
          | c0_1(X9)
          | ~ c2_1(X9) )
      | hskp27 )
    & ( ! [X69] :
          ( c0_1(X69)
          | ~ ndr1_0
          | c3_1(X69)
          | c1_1(X69) )
      | hskp2
      | ! [X70] :
          ( ~ c1_1(X70)
          | ~ c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( ~ c2_1(X35)
          | c0_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | hskp13
      | ! [X34] :
          ( c1_1(X34)
          | ~ ndr1_0
          | ~ c0_1(X34)
          | c3_1(X34) ) )
    & ( ! [X61] :
          ( ~ c0_1(X61)
          | ~ ndr1_0
          | c3_1(X61)
          | c1_1(X61) )
      | hskp9
      | ! [X60] :
          ( ~ c1_1(X60)
          | ~ ndr1_0
          | ~ c2_1(X60)
          | c0_1(X60) ) )
    & ( hskp2
      | hskp18
      | ! [X62] :
          ( c1_1(X62)
          | ~ ndr1_0
          | c3_1(X62)
          | ~ c0_1(X62) ) )
    & ( ( c0_1(a468)
        & ~ c2_1(a468)
        & c3_1(a468)
        & ndr1_0 )
      | ~ hskp5 )
    & ( hskp11
      | hskp5 )
    & ( ! [X58] :
          ( ~ c3_1(X58)
          | ~ ndr1_0
          | ~ c0_1(X58)
          | ~ c2_1(X58) )
      | ! [X59] :
          ( c1_1(X59)
          | ~ c0_1(X59)
          | ~ ndr1_0
          | ~ c2_1(X59) )
      | hskp17 )
    & ( ! [X13] :
          ( c1_1(X13)
          | ~ ndr1_0
          | ~ c3_1(X13)
          | ~ c0_1(X13) )
      | ! [X14] :
          ( c1_1(X14)
          | ~ c0_1(X14)
          | ~ ndr1_0
          | ~ c2_1(X14) )
      | hskp9 )
    & ( hskp15
      | ! [X85] :
          ( c3_1(X85)
          | c1_1(X85)
          | c2_1(X85)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ~ hskp26
      | ( c3_1(a470)
        & c1_1(a470)
        & ndr1_0
        & c2_1(a470) ) )
    & ( hskp18
      | ! [X22] :
          ( ~ c0_1(X22)
          | c2_1(X22)
          | ~ c1_1(X22)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ~ hskp20
      | ( c3_1(a503)
        & ~ c1_1(a503)
        & c2_1(a503)
        & ndr1_0 ) )
    & ( ! [X21] :
          ( c2_1(X21)
          | ~ ndr1_0
          | ~ c1_1(X21)
          | c0_1(X21) )
      | ! [X19] :
          ( ~ c1_1(X19)
          | ~ ndr1_0
          | ~ c3_1(X19)
          | c0_1(X19) )
      | ! [X20] :
          ( ~ c2_1(X20)
          | c0_1(X20)
          | ~ ndr1_0
          | ~ c3_1(X20) ) )
    & ( hskp2
      | hskp15
      | ! [X40] :
          ( ~ c1_1(X40)
          | c2_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp24
      | hskp16 )
    & ( ! [X43] :
          ( c1_1(X43)
          | c3_1(X43)
          | ~ ndr1_0
          | c2_1(X43) )
      | hskp28
      | ! [X44] :
          ( c2_1(X44)
          | ~ ndr1_0
          | ~ c0_1(X44)
          | ~ c3_1(X44) ) )
    & ( ! [X84] :
          ( c3_1(X84)
          | ~ ndr1_0
          | ~ c0_1(X84)
          | ~ c2_1(X84) )
      | hskp26
      | hskp10 )
    & ( ( ndr1_0
        & c0_1(a490)
        & c2_1(a490)
        & c1_1(a490) )
      | ~ hskp28 )
    & ( ~ hskp9
      | ( c0_1(a476)
        & c2_1(a476)
        & ~ c1_1(a476)
        & ndr1_0 ) )
    & ( ! [X54] :
          ( ~ ndr1_0
          | ~ c0_1(X54)
          | c3_1(X54)
          | c2_1(X54) )
      | hskp7
      | ! [X55] :
          ( c2_1(X55)
          | c3_1(X55)
          | ~ ndr1_0
          | c0_1(X55) ) )
    & ( ! [X86] :
          ( c0_1(X86)
          | ~ c2_1(X86)
          | c1_1(X86)
          | ~ ndr1_0 )
      | hskp2
      | hskp6 )
    & ( ! [X67] :
          ( ~ ndr1_0
          | ~ c3_1(X67)
          | ~ c2_1(X67)
          | c0_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | c3_1(X66)
          | c1_1(X66)
          | ~ c2_1(X66) )
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c0_1(X68)
          | ~ c1_1(X68)
          | c2_1(X68) ) )
    & ( ~ hskp13
      | ( c0_1(a483)
        & c2_1(a483)
        & ndr1_0
        & ~ c3_1(a483) ) )
    & ( ! [X82] :
          ( ~ ndr1_0
          | c0_1(X82)
          | c2_1(X82)
          | ~ c3_1(X82) )
      | hskp9
      | ! [X83] :
          ( ~ ndr1_0
          | c0_1(X83)
          | ~ c3_1(X83)
          | ~ c2_1(X83) ) )
    & ( hskp10
      | ! [X38] :
          ( c2_1(X38)
          | ~ c3_1(X38)
          | c0_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c2_1(X39)
          | ~ c1_1(X39)
          | ~ c0_1(X39) ) )
    & ( hskp12
      | ! [X45] :
          ( ~ c2_1(X45)
          | ~ ndr1_0
          | c3_1(X45)
          | c0_1(X45) )
      | hskp0 )
    & ( ( ndr1_0
        & c0_1(a540)
        & ~ c2_1(a540)
        & ~ c1_1(a540) )
      | ~ hskp24 )
    & ( hskp10
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c2_1(X23)
          | ~ c3_1(X23)
          | c0_1(X23) )
      | ! [X24] :
          ( ~ c2_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0
          | ~ c1_1(X24) ) )
    & ( hskp12
      | ! [X46] :
          ( ~ ndr1_0
          | c3_1(X46)
          | ~ c0_1(X46)
          | c2_1(X46) )
      | ! [X47] :
          ( c1_1(X47)
          | ~ ndr1_0
          | c3_1(X47)
          | ~ c0_1(X47) ) ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( ! [X46] :
          ( c3_1(X46)
          | ~ c0_1(X46)
          | c2_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c1_1(X47)
          | ~ c0_1(X47)
          | c3_1(X47)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X30] :
          ( c2_1(X30)
          | c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c1_1(X31)
          | c0_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c2_1(X32)
          | ~ c0_1(X32)
          | c3_1(X32)
          | ~ ndr1_0 ) )
    & ( ( c0_1(a468)
        & ~ c2_1(a468)
        & c3_1(a468)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ! [X14] :
          ( ~ c0_1(X14)
          | c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | hskp9
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c0_1(X13)
          | c1_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( c3_1(X57)
          | c0_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c1_1(X56)
          | c0_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | hskp3 )
    & ( hskp8
      | hskp15
      | hskp16 )
    & ( hskp4
      | ! [X15] :
          ( c3_1(X15)
          | c1_1(X15)
          | c0_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c1_1(X16)
          | c2_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X76] :
          ( ~ c1_1(X76)
          | ~ c0_1(X76)
          | ~ c2_1(X76)
          | ~ ndr1_0 )
      | hskp7
      | ! [X77] :
          ( ~ c1_1(X77)
          | c0_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 ) )
    & ( ( ~ c3_1(a477)
        & ndr1_0
        & c2_1(a477)
        & c1_1(a477) )
      | ~ hskp10 )
    & ( hskp15
      | hskp24
      | hskp16 )
    & ( ( c2_1(a500)
        & c1_1(a500)
        & ndr1_0
        & ~ c0_1(a500) )
      | ~ hskp18 )
    & ( ( ndr1_0
        & c3_1(a492)
        & ~ c2_1(a492)
        & c1_1(a492) )
      | ~ hskp15 )
    & ( ~ hskp6
      | ( ~ c1_1(a471)
        & c2_1(a471)
        & ndr1_0
        & ~ c3_1(a471) ) )
    & ( hskp25
      | ! [X78] :
          ( c2_1(X78)
          | c0_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c1_1(X79)
          | c3_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c0_1(a490)
        & c2_1(a490)
        & c1_1(a490) )
      | ~ hskp28 )
    & ( ( ndr1_0
        & c0_1(a540)
        & ~ c2_1(a540)
        & ~ c1_1(a540) )
      | ~ hskp24 )
    & ( ~ hskp20
      | ( c3_1(a503)
        & ~ c1_1(a503)
        & c2_1(a503)
        & ndr1_0 ) )
    & ( ! [X75] :
          ( ~ c3_1(X75)
          | ~ c1_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0 )
      | hskp4
      | ! [X74] :
          ( c1_1(X74)
          | c0_1(X74)
          | c3_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X6] :
          ( c3_1(X6)
          | c1_1(X6)
          | c0_1(X6)
          | ~ ndr1_0 )
      | ! [X5] :
          ( ~ c0_1(X5)
          | ~ c2_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X45] :
          ( ~ c2_1(X45)
          | c0_1(X45)
          | c3_1(X45)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ~ hskp23
      | ( c0_1(a533)
        & ~ c1_1(a533)
        & ndr1_0
        & ~ c3_1(a533) ) )
    & ( ~ hskp0
      | ( ~ c2_1(a460)
        & ~ c3_1(a460)
        & ndr1_0
        & c0_1(a460) ) )
    & ( ! [X70] :
          ( c0_1(X70)
          | ~ c1_1(X70)
          | ~ c2_1(X70)
          | ~ ndr1_0 )
      | hskp2
      | ! [X69] :
          ( c3_1(X69)
          | c0_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a466)
        & ndr1_0
        & c3_1(a466)
        & ~ c0_1(a466) )
      | ~ hskp3 )
    & ( hskp11
      | ! [X49] :
          ( c0_1(X49)
          | c3_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c0_1(X48)
          | ~ c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( ~ c2_1(X60)
          | c0_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c3_1(X61)
          | ~ c0_1(X61)
          | c1_1(X61)
          | ~ ndr1_0 )
      | hskp9 )
    & ( hskp7
      | ! [X33] :
          ( ~ c1_1(X33)
          | c3_1(X33)
          | c2_1(X33)
          | ~ ndr1_0 )
      | hskp11 )
    & ( hskp5
      | hskp25
      | hskp14 )
    & ( ! [X50] :
          ( c3_1(X50)
          | c0_1(X50)
          | c2_1(X50)
          | ~ ndr1_0 )
      | hskp27
      | ! [X51] :
          ( c3_1(X51)
          | c2_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X39] :
          ( ~ c1_1(X39)
          | ~ c0_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | hskp10 )
    & ( hskp8
      | ! [X89] :
          ( c2_1(X89)
          | ~ c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c1_1(X90)
          | ~ c2_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X24] :
          ( ~ c0_1(X24)
          | ~ c1_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c0_1(X23)
          | ~ c2_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X63] :
          ( ~ c0_1(X63)
          | c1_1(X63)
          | c3_1(X63)
          | ~ ndr1_0 )
      | hskp27
      | hskp16 )
    & ( ! [X64] :
          ( ~ c0_1(X64)
          | ~ c2_1(X64)
          | c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c0_1(X65)
          | ~ c3_1(X65)
          | ~ c1_1(X65)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X52] :
          ( c3_1(X52)
          | c0_1(X52)
          | c2_1(X52)
          | ~ ndr1_0 )
      | hskp0
      | ! [X53] :
          ( c0_1(X53)
          | c1_1(X53)
          | c3_1(X53)
          | ~ ndr1_0 ) )
    & ( ~ hskp2
      | ( ~ c2_1(a465)
        & ~ c0_1(a465)
        & ~ c3_1(a465)
        & ndr1_0 ) )
    & ( ( c1_1(a473)
        & ndr1_0
        & c0_1(a473)
        & c3_1(a473) )
      | ~ hskp27 )
    & ( ! [X80] :
          ( ~ c1_1(X80)
          | ~ c3_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | hskp12
      | hskp15 )
    & ( hskp12
      | hskp3
      | ! [X91] :
          ( c1_1(X91)
          | ~ c0_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( c0_1(X27)
          | c1_1(X27)
          | c2_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c0_1(X28)
          | ~ c2_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c2_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( ( ~ c0_1(a480)
        & ~ c1_1(a480)
        & ~ c2_1(a480)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ~ hskp13
      | ( c0_1(a483)
        & c2_1(a483)
        & ndr1_0
        & ~ c3_1(a483) ) )
    & ( hskp2
      | hskp18
      | ! [X62] :
          ( c1_1(X62)
          | c3_1(X62)
          | ~ c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp2
      | ! [X40] :
          ( c2_1(X40)
          | ~ c0_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X34] :
          ( ~ c0_1(X34)
          | c1_1(X34)
          | c3_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c0_1(X35)
          | ~ c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ~ hskp7
      | ( ~ c1_1(a474)
        & c3_1(a474)
        & ndr1_0
        & ~ c2_1(a474) ) )
    & ( ! [X9] :
          ( c0_1(X9)
          | ~ c2_1(X9)
          | ~ c1_1(X9)
          | ~ ndr1_0 )
      | hskp27
      | hskp10 )
    & ( ! [X83] :
          ( c0_1(X83)
          | ~ c3_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c0_1(X82)
          | c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ~ hskp16
      | ( c1_1(a493)
        & ~ c0_1(a493)
        & ~ c2_1(a493)
        & ndr1_0 ) )
    & ( ! [X58] :
          ( ~ c0_1(X58)
          | ~ c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | hskp17
      | ! [X59] :
          ( c1_1(X59)
          | ~ c2_1(X59)
          | ~ c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp12
      | ! [X81] :
          ( ~ c3_1(X81)
          | c1_1(X81)
          | c2_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( ~ c3_1(X72)
          | ~ c2_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c1_1(X73)
          | c3_1(X73)
          | c2_1(X73)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c1_1(X71)
          | ~ c0_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 ) )
    & ( ~ hskp4
      | ( c3_1(a467)
        & ndr1_0
        & ~ c0_1(a467)
        & ~ c1_1(a467) ) )
    & ( ! [X85] :
          ( c2_1(X85)
          | c3_1(X85)
          | c1_1(X85)
          | ~ ndr1_0 )
      | hskp15
      | hskp3 )
    & ( ! [X44] :
          ( ~ c0_1(X44)
          | ~ c3_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c3_1(X43)
          | c1_1(X43)
          | c2_1(X43)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X0] :
          ( c1_1(X0)
          | ~ c2_1(X0)
          | c3_1(X0)
          | ~ ndr1_0 )
      | hskp19
      | hskp20 )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a512)
        & c3_1(a512)
        & ~ c1_1(a512) ) )
    & ( ~ hskp9
      | ( c0_1(a476)
        & c2_1(a476)
        & ~ c1_1(a476)
        & ndr1_0 ) )
    & ( ~ hskp1
      | ( ~ c1_1(a463)
        & c2_1(a463)
        & ~ c0_1(a463)
        & ndr1_0 ) )
    & ( ~ hskp17
      | ( ~ c3_1(a494)
        & ~ c1_1(a494)
        & ndr1_0
        & ~ c0_1(a494) ) )
    & ( ! [X25] :
          ( c0_1(X25)
          | ~ c2_1(X25)
          | ~ c1_1(X25)
          | ~ ndr1_0 )
      | hskp9
      | ! [X26] :
          ( c2_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp6
      | hskp10 )
    & ( hskp22
      | hskp27
      | hskp17 )
    & ( ~ hskp11
      | ( c2_1(a478)
        & ~ c3_1(a478)
        & ndr1_0
        & ~ c0_1(a478) ) )
    & ( ! [X37] :
          ( ~ c2_1(X37)
          | ~ c0_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | hskp14
      | ! [X36] :
          ( c0_1(X36)
          | ~ c1_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 ) )
    & ( ~ hskp26
      | ( c3_1(a470)
        & c1_1(a470)
        & ndr1_0
        & c2_1(a470) ) )
    & ( hskp20
      | hskp18
      | ! [X22] :
          ( c2_1(X22)
          | ~ c1_1(X22)
          | ~ c0_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X68] :
          ( ~ c1_1(X68)
          | ~ c0_1(X68)
          | c2_1(X68)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c3_1(X67)
          | c0_1(X67)
          | ~ c2_1(X67)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c1_1(X66)
          | ~ c2_1(X66)
          | c3_1(X66)
          | ~ ndr1_0 ) )
    & ( ! [X54] :
          ( c2_1(X54)
          | c3_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c0_1(X55)
          | c2_1(X55)
          | c3_1(X55)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X84] :
          ( c3_1(X84)
          | ~ c2_1(X84)
          | ~ c0_1(X84)
          | ~ ndr1_0 )
      | hskp10
      | hskp26 )
    & ( ( c0_1(a461)
        & c3_1(a461)
        & c2_1(a461)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ! [X92] :
          ( c2_1(X92)
          | c0_1(X92)
          | c1_1(X92)
          | ~ ndr1_0 )
      | hskp1
      | hskp0 )
    & ( hskp6
      | hskp20
      | hskp12 )
    & ( ! [X8] :
          ( c2_1(X8)
          | ~ c1_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | hskp21
      | ! [X7] :
          ( c2_1(X7)
          | ~ c3_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 ) )
    & ( ! [X21] :
          ( c2_1(X21)
          | ~ c1_1(X21)
          | c0_1(X21)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | ~ c1_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c0_1(X20)
          | ~ ndr1_0 ) )
    & ( ( c0_1(a475)
        & c1_1(a475)
        & ndr1_0
        & ~ c3_1(a475) )
      | ~ hskp8 )
    & ( hskp26
      | ! [X88] :
          ( c0_1(X88)
          | ~ c2_1(X88)
          | c1_1(X88)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c0_1(X87)
          | ~ c3_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X10] :
          ( ~ c2_1(X10)
          | ~ c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c3_1(X11)
          | c2_1(X11)
          | c1_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c1_1(X12)
          | c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X17] :
          ( c1_1(X17)
          | c3_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | hskp12 )
    & ( hskp23
      | hskp20
      | hskp9 )
    & ( ( ndr1_0
        & ~ c3_1(a488)
        & ~ c2_1(a488)
        & ~ c1_1(a488) )
      | ~ hskp14 )
    & ( ( ndr1_0
        & c3_1(a502)
        & ~ c0_1(a502)
        & c2_1(a502) )
      | ~ hskp19 )
    & ( hskp0
      | ! [X4] :
          ( ~ c2_1(X4)
          | c1_1(X4)
          | c0_1(X4)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c0_1(X3)
          | c2_1(X3)
          | c1_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp6
      | ! [X86] :
          ( ~ c2_1(X86)
          | c0_1(X86)
          | c1_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp5 )
    & ( hskp1
      | ! [X2] :
          ( c2_1(X2)
          | ~ c0_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 )
      | ! [X1] :
          ( ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 ) )
    & ( ! [X18] :
          ( ~ c0_1(X18)
          | c1_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | hskp16
      | hskp17 )
    & ( ! [X41] :
          ( c3_1(X41)
          | c2_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c1_1(X42)
          | ~ c0_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ( c1_1(a524)
        & ~ c2_1(a524)
        & ndr1_0
        & c0_1(a524) )
      | ~ hskp22 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( ! [X46] :
          ( ndr1_0
         => ( c3_1(X46)
            | ~ c0_1(X46)
            | c2_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c1_1(X47)
            | ~ c0_1(X47)
            | c3_1(X47) ) )
      | hskp12 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c2_1(X30)
            | c0_1(X30)
            | c1_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c1_1(X31)
            | c0_1(X31)
            | ~ c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c2_1(X32)
            | ~ c0_1(X32)
            | c3_1(X32) ) ) )
    & ( ( c0_1(a468)
        & ~ c2_1(a468)
        & c3_1(a468)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ! [X14] :
          ( ndr1_0
         => ( ~ c0_1(X14)
            | c1_1(X14)
            | ~ c2_1(X14) ) )
      | hskp9
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | ~ c0_1(X13)
            | c1_1(X13) ) ) )
    & ( ! [X57] :
          ( ndr1_0
         => ( c3_1(X57)
            | c0_1(X57)
            | c1_1(X57) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c1_1(X56)
            | c0_1(X56)
            | ~ c3_1(X56) ) )
      | hskp3 )
    & ( hskp8
      | hskp15
      | hskp16 )
    & ( hskp4
      | ! [X15] :
          ( ndr1_0
         => ( c3_1(X15)
            | c1_1(X15)
            | c0_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c1_1(X16)
            | c2_1(X16)
            | ~ c3_1(X16) ) ) )
    & ( ! [X76] :
          ( ndr1_0
         => ( ~ c1_1(X76)
            | ~ c0_1(X76)
            | ~ c2_1(X76) ) )
      | hskp7
      | ! [X77] :
          ( ndr1_0
         => ( ~ c1_1(X77)
            | c0_1(X77)
            | ~ c3_1(X77) ) ) )
    & ( ( ~ c3_1(a477)
        & ndr1_0
        & c2_1(a477)
        & c1_1(a477) )
      | ~ hskp10 )
    & ( hskp15
      | hskp24
      | hskp16 )
    & ( ( c2_1(a500)
        & c1_1(a500)
        & ndr1_0
        & ~ c0_1(a500) )
      | ~ hskp18 )
    & ( ( ndr1_0
        & c3_1(a492)
        & ~ c2_1(a492)
        & c1_1(a492) )
      | ~ hskp15 )
    & ( ~ hskp6
      | ( ~ c1_1(a471)
        & c2_1(a471)
        & ndr1_0
        & ~ c3_1(a471) ) )
    & ( hskp25
      | ! [X78] :
          ( ndr1_0
         => ( c2_1(X78)
            | c0_1(X78)
            | c1_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | c3_1(X79)
            | ~ c0_1(X79) ) ) )
    & ( ( ndr1_0
        & c0_1(a490)
        & c2_1(a490)
        & c1_1(a490) )
      | ~ hskp28 )
    & ( ( ndr1_0
        & c0_1(a540)
        & ~ c2_1(a540)
        & ~ c1_1(a540) )
      | ~ hskp24 )
    & ( ~ hskp20
      | ( c3_1(a503)
        & ~ c1_1(a503)
        & c2_1(a503)
        & ndr1_0 ) )
    & ( ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | ~ c1_1(X75)
            | ~ c2_1(X75) ) )
      | hskp4
      | ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | c0_1(X74)
            | c3_1(X74) ) ) )
    & ( hskp5
      | ! [X6] :
          ( ndr1_0
         => ( c3_1(X6)
            | c1_1(X6)
            | c0_1(X6) ) )
      | ! [X5] :
          ( ndr1_0
         => ( ~ c0_1(X5)
            | ~ c2_1(X5)
            | ~ c1_1(X5) ) ) )
    & ( hskp0
      | ! [X45] :
          ( ndr1_0
         => ( ~ c2_1(X45)
            | c0_1(X45)
            | c3_1(X45) ) )
      | hskp12 )
    & ( ~ hskp23
      | ( c0_1(a533)
        & ~ c1_1(a533)
        & ndr1_0
        & ~ c3_1(a533) ) )
    & ( ~ hskp0
      | ( ~ c2_1(a460)
        & ~ c3_1(a460)
        & ndr1_0
        & c0_1(a460) ) )
    & ( ! [X70] :
          ( ndr1_0
         => ( c0_1(X70)
            | ~ c1_1(X70)
            | ~ c2_1(X70) ) )
      | hskp2
      | ! [X69] :
          ( ndr1_0
         => ( c3_1(X69)
            | c0_1(X69)
            | c1_1(X69) ) ) )
    & ( ( c1_1(a466)
        & ndr1_0
        & c3_1(a466)
        & ~ c0_1(a466) )
      | ~ hskp3 )
    & ( hskp11
      | ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | c3_1(X49)
            | ~ c1_1(X49) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c0_1(X48)
            | ~ c2_1(X48)
            | ~ c3_1(X48) ) ) )
    & ( ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | c0_1(X60)
            | ~ c1_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c3_1(X61)
            | ~ c0_1(X61)
            | c1_1(X61) ) )
      | hskp9 )
    & ( hskp7
      | ! [X33] :
          ( ndr1_0
         => ( ~ c1_1(X33)
            | c3_1(X33)
            | c2_1(X33) ) )
      | hskp11 )
    & ( hskp5
      | hskp25
      | hskp14 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c3_1(X50)
            | c0_1(X50)
            | c2_1(X50) ) )
      | hskp27
      | ! [X51] :
          ( ndr1_0
         => ( c3_1(X51)
            | c2_1(X51)
            | c1_1(X51) ) ) )
    & ( ! [X39] :
          ( ndr1_0
         => ( ~ c1_1(X39)
            | ~ c0_1(X39)
            | ~ c2_1(X39) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c2_1(X38)
            | ~ c3_1(X38) ) )
      | hskp10 )
    & ( hskp8
      | ! [X89] :
          ( ndr1_0
         => ( c2_1(X89)
            | ~ c1_1(X89)
            | c0_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( c1_1(X90)
            | ~ c2_1(X90)
            | ~ c3_1(X90) ) ) )
    & ( hskp10
      | ! [X24] :
          ( ndr1_0
         => ( ~ c0_1(X24)
            | ~ c1_1(X24)
            | ~ c2_1(X24) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | ~ c2_1(X23)
            | ~ c3_1(X23) ) ) )
    & ( ! [X63] :
          ( ndr1_0
         => ( ~ c0_1(X63)
            | c1_1(X63)
            | c3_1(X63) ) )
      | hskp27
      | hskp16 )
    & ( ! [X64] :
          ( ndr1_0
         => ( ~ c0_1(X64)
            | ~ c2_1(X64)
            | c3_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c0_1(X65)
            | ~ c3_1(X65)
            | ~ c1_1(X65) ) )
      | hskp8 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c3_1(X52)
            | c0_1(X52)
            | c2_1(X52) ) )
      | hskp0
      | ! [X53] :
          ( ndr1_0
         => ( c0_1(X53)
            | c1_1(X53)
            | c3_1(X53) ) ) )
    & ( ~ hskp2
      | ( ~ c2_1(a465)
        & ~ c0_1(a465)
        & ~ c3_1(a465)
        & ndr1_0 ) )
    & ( ( c1_1(a473)
        & ndr1_0
        & c0_1(a473)
        & c3_1(a473) )
      | ~ hskp27 )
    & ( ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | ~ c3_1(X80)
            | c2_1(X80) ) )
      | hskp12
      | hskp15 )
    & ( hskp12
      | hskp3
      | ! [X91] :
          ( ndr1_0
         => ( c1_1(X91)
            | ~ c0_1(X91)
            | ~ c3_1(X91) ) ) )
    & ( ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | c1_1(X27)
            | c2_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c0_1(X28)
            | ~ c2_1(X28)
            | c3_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | ~ c2_1(X29)
            | c1_1(X29) ) ) )
    & ( ( ~ c0_1(a480)
        & ~ c1_1(a480)
        & ~ c2_1(a480)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ~ hskp13
      | ( c0_1(a483)
        & c2_1(a483)
        & ndr1_0
        & ~ c3_1(a483) ) )
    & ( hskp2
      | hskp18
      | ! [X62] :
          ( ndr1_0
         => ( c1_1(X62)
            | c3_1(X62)
            | ~ c0_1(X62) ) ) )
    & ( hskp15
      | hskp2
      | ! [X40] :
          ( ndr1_0
         => ( c2_1(X40)
            | ~ c0_1(X40)
            | ~ c1_1(X40) ) ) )
    & ( ! [X34] :
          ( ndr1_0
         => ( ~ c0_1(X34)
            | c1_1(X34)
            | c3_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | ~ c2_1(X35)
            | ~ c1_1(X35) ) )
      | hskp13 )
    & ( ~ hskp7
      | ( ~ c1_1(a474)
        & c3_1(a474)
        & ndr1_0
        & ~ c2_1(a474) ) )
    & ( ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | ~ c2_1(X9)
            | ~ c1_1(X9) ) )
      | hskp27
      | hskp10 )
    & ( ! [X83] :
          ( ndr1_0
         => ( c0_1(X83)
            | ~ c3_1(X83)
            | ~ c2_1(X83) ) )
      | ! [X82] :
          ( ndr1_0
         => ( c0_1(X82)
            | c2_1(X82)
            | ~ c3_1(X82) ) )
      | hskp9 )
    & ( ~ hskp16
      | ( c1_1(a493)
        & ~ c0_1(a493)
        & ~ c2_1(a493)
        & ndr1_0 ) )
    & ( ! [X58] :
          ( ndr1_0
         => ( ~ c0_1(X58)
            | ~ c2_1(X58)
            | ~ c3_1(X58) ) )
      | hskp17
      | ! [X59] :
          ( ndr1_0
         => ( c1_1(X59)
            | ~ c2_1(X59)
            | ~ c0_1(X59) ) ) )
    & ( hskp7
      | hskp12
      | ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | c1_1(X81)
            | c2_1(X81) ) ) )
    & ( ! [X72] :
          ( ndr1_0
         => ( ~ c3_1(X72)
            | ~ c2_1(X72)
            | c0_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( c1_1(X73)
            | c3_1(X73)
            | c2_1(X73) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c1_1(X71)
            | ~ c0_1(X71)
            | ~ c3_1(X71) ) ) )
    & ( ~ hskp4
      | ( c3_1(a467)
        & ndr1_0
        & ~ c0_1(a467)
        & ~ c1_1(a467) ) )
    & ( ! [X85] :
          ( ndr1_0
         => ( c2_1(X85)
            | c3_1(X85)
            | c1_1(X85) ) )
      | hskp15
      | hskp3 )
    & ( ! [X44] :
          ( ndr1_0
         => ( ~ c0_1(X44)
            | ~ c3_1(X44)
            | c2_1(X44) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c3_1(X43)
            | c1_1(X43)
            | c2_1(X43) ) )
      | hskp28 )
    & ( ! [X0] :
          ( ndr1_0
         => ( c1_1(X0)
            | ~ c2_1(X0)
            | c3_1(X0) ) )
      | hskp19
      | hskp20 )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a512)
        & c3_1(a512)
        & ~ c1_1(a512) ) )
    & ( ~ hskp9
      | ( c0_1(a476)
        & c2_1(a476)
        & ~ c1_1(a476)
        & ndr1_0 ) )
    & ( ~ hskp1
      | ( ~ c1_1(a463)
        & c2_1(a463)
        & ~ c0_1(a463)
        & ndr1_0 ) )
    & ( ~ hskp17
      | ( ~ c3_1(a494)
        & ~ c1_1(a494)
        & ndr1_0
        & ~ c0_1(a494) ) )
    & ( ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | ~ c2_1(X25)
            | ~ c1_1(X25) ) )
      | hskp9
      | ! [X26] :
          ( ndr1_0
         => ( c2_1(X26)
            | ~ c0_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp21
      | hskp6
      | hskp10 )
    & ( hskp22
      | hskp27
      | hskp17 )
    & ( ~ hskp11
      | ( c2_1(a478)
        & ~ c3_1(a478)
        & ndr1_0
        & ~ c0_1(a478) ) )
    & ( ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | ~ c0_1(X37)
            | ~ c3_1(X37) ) )
      | hskp14
      | ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | ~ c1_1(X36)
            | ~ c3_1(X36) ) ) )
    & ( ~ hskp26
      | ( c3_1(a470)
        & c1_1(a470)
        & ndr1_0
        & c2_1(a470) ) )
    & ( hskp20
      | hskp18
      | ! [X22] :
          ( ndr1_0
         => ( c2_1(X22)
            | ~ c1_1(X22)
            | ~ c0_1(X22) ) ) )
    & ( ! [X68] :
          ( ndr1_0
         => ( ~ c1_1(X68)
            | ~ c0_1(X68)
            | c2_1(X68) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c3_1(X67)
            | c0_1(X67)
            | ~ c2_1(X67) ) )
      | ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | ~ c2_1(X66)
            | c3_1(X66) ) ) )
    & ( ! [X54] :
          ( ndr1_0
         => ( c2_1(X54)
            | c3_1(X54)
            | ~ c0_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c0_1(X55)
            | c2_1(X55)
            | c3_1(X55) ) )
      | hskp7 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c3_1(X84)
            | ~ c2_1(X84)
            | ~ c0_1(X84) ) )
      | hskp10
      | hskp26 )
    & ( ( c0_1(a461)
        & c3_1(a461)
        & c2_1(a461)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c2_1(X92)
            | c0_1(X92)
            | c1_1(X92) ) )
      | hskp1
      | hskp0 )
    & ( hskp6
      | hskp20
      | hskp12 )
    & ( ! [X8] :
          ( ndr1_0
         => ( c2_1(X8)
            | ~ c1_1(X8)
            | c3_1(X8) ) )
      | hskp21
      | ! [X7] :
          ( ndr1_0
         => ( c2_1(X7)
            | ~ c3_1(X7)
            | ~ c0_1(X7) ) ) )
    & ( ! [X21] :
          ( ndr1_0
         => ( c2_1(X21)
            | ~ c1_1(X21)
            | c0_1(X21) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | ~ c1_1(X19)
            | ~ c3_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c2_1(X20)
            | c0_1(X20) ) ) )
    & ( ( c0_1(a475)
        & c1_1(a475)
        & ndr1_0
        & ~ c3_1(a475) )
      | ~ hskp8 )
    & ( hskp26
      | ! [X88] :
          ( ndr1_0
         => ( c0_1(X88)
            | ~ c2_1(X88)
            | c1_1(X88) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c0_1(X87)
            | ~ c3_1(X87)
            | ~ c2_1(X87) ) ) )
    & ( ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c1_1(X10)
            | c3_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c3_1(X11)
            | c2_1(X11)
            | c1_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c1_1(X12)
            | c0_1(X12)
            | c3_1(X12) ) ) )
    & ( hskp14
      | ! [X17] :
          ( ndr1_0
         => ( c1_1(X17)
            | c3_1(X17)
            | ~ c2_1(X17) ) )
      | hskp12 )
    & ( hskp23
      | hskp20
      | hskp9 )
    & ( ( ndr1_0
        & ~ c3_1(a488)
        & ~ c2_1(a488)
        & ~ c1_1(a488) )
      | ~ hskp14 )
    & ( ( ndr1_0
        & c3_1(a502)
        & ~ c0_1(a502)
        & c2_1(a502) )
      | ~ hskp19 )
    & ( hskp0
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | c1_1(X4)
            | c0_1(X4) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c2_1(X3)
            | c1_1(X3) ) ) )
    & ( hskp2
      | hskp6
      | ! [X86] :
          ( ndr1_0
         => ( ~ c2_1(X86)
            | c0_1(X86)
            | c1_1(X86) ) ) )
    & ( hskp11
      | hskp5 )
    & ( hskp1
      | ! [X2] :
          ( ndr1_0
         => ( c2_1(X2)
            | ~ c0_1(X2)
            | c3_1(X2) ) )
      | ! [X1] :
          ( ndr1_0
         => ( ~ c1_1(X1)
            | ~ c0_1(X1)
            | ~ c2_1(X1) ) ) )
    & ( ! [X18] :
          ( ndr1_0
         => ( ~ c0_1(X18)
            | c1_1(X18)
            | c2_1(X18) ) )
      | hskp16
      | hskp17 )
    & ( ! [X41] :
          ( ndr1_0
         => ( c3_1(X41)
            | c2_1(X41)
            | ~ c0_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c1_1(X42)
            | ~ c0_1(X42)
            | ~ c3_1(X42) ) )
      | hskp3 )
    & ( ( c1_1(a524)
        & ~ c2_1(a524)
        & ndr1_0
        & c0_1(a524) )
      | ~ hskp22 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( ! [X46] :
              ( ndr1_0
             => ( c3_1(X46)
                | ~ c0_1(X46)
                | c2_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | ~ c0_1(X47)
                | c3_1(X47) ) )
          | hskp12 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c2_1(X30)
                | c0_1(X30)
                | c1_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c0_1(X31)
                | ~ c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c2_1(X32)
                | ~ c0_1(X32)
                | c3_1(X32) ) ) )
        & ( ( c0_1(a468)
            & ~ c2_1(a468)
            & c3_1(a468)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | c1_1(X14)
                | ~ c2_1(X14) ) )
          | hskp9
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c0_1(X13)
                | c1_1(X13) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( c3_1(X57)
                | c0_1(X57)
                | c1_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | c0_1(X56)
                | ~ c3_1(X56) ) )
          | hskp3 )
        & ( hskp8
          | hskp15
          | hskp16 )
        & ( hskp4
          | ! [X15] :
              ( ndr1_0
             => ( c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | c2_1(X16)
                | ~ c3_1(X16) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | ~ c0_1(X76)
                | ~ c2_1(X76) ) )
          | hskp7
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | c0_1(X77)
                | ~ c3_1(X77) ) ) )
        & ( ( ~ c3_1(a477)
            & ndr1_0
            & c2_1(a477)
            & c1_1(a477) )
          | ~ hskp10 )
        & ( hskp15
          | hskp24
          | hskp16 )
        & ( ( c2_1(a500)
            & c1_1(a500)
            & ndr1_0
            & ~ c0_1(a500) )
          | ~ hskp18 )
        & ( ( ndr1_0
            & c3_1(a492)
            & ~ c2_1(a492)
            & c1_1(a492) )
          | ~ hskp15 )
        & ( ~ hskp6
          | ( ~ c1_1(a471)
            & c2_1(a471)
            & ndr1_0
            & ~ c3_1(a471) ) )
        & ( hskp25
          | ! [X78] :
              ( ndr1_0
             => ( c2_1(X78)
                | c0_1(X78)
                | c1_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c3_1(X79)
                | ~ c0_1(X79) ) ) )
        & ( ( ndr1_0
            & c0_1(a490)
            & c2_1(a490)
            & c1_1(a490) )
          | ~ hskp28 )
        & ( ( ndr1_0
            & c0_1(a540)
            & ~ c2_1(a540)
            & ~ c1_1(a540) )
          | ~ hskp24 )
        & ( ~ hskp20
          | ( c3_1(a503)
            & ~ c1_1(a503)
            & c2_1(a503)
            & ndr1_0 ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c1_1(X75)
                | ~ c2_1(X75) ) )
          | hskp4
          | ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c0_1(X74)
                | c3_1(X74) ) ) )
        & ( hskp5
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c0_1(X5)
                | ~ c2_1(X5)
                | ~ c1_1(X5) ) ) )
        & ( hskp0
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | c0_1(X45)
                | c3_1(X45) ) )
          | hskp12 )
        & ( ~ hskp23
          | ( c0_1(a533)
            & ~ c1_1(a533)
            & ndr1_0
            & ~ c3_1(a533) ) )
        & ( ~ hskp0
          | ( ~ c2_1(a460)
            & ~ c3_1(a460)
            & ndr1_0
            & c0_1(a460) ) )
        & ( ! [X70] :
              ( ndr1_0
             => ( c0_1(X70)
                | ~ c1_1(X70)
                | ~ c2_1(X70) ) )
          | hskp2
          | ! [X69] :
              ( ndr1_0
             => ( c3_1(X69)
                | c0_1(X69)
                | c1_1(X69) ) ) )
        & ( ( c1_1(a466)
            & ndr1_0
            & c3_1(a466)
            & ~ c0_1(a466) )
          | ~ hskp3 )
        & ( hskp11
          | ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c3_1(X49)
                | ~ c1_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c0_1(X48)
                | ~ c2_1(X48)
                | ~ c3_1(X48) ) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | c0_1(X60)
                | ~ c1_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c3_1(X61)
                | ~ c0_1(X61)
                | c1_1(X61) ) )
          | hskp9 )
        & ( hskp7
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c3_1(X33)
                | c2_1(X33) ) )
          | hskp11 )
        & ( hskp5
          | hskp25
          | hskp14 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c3_1(X50)
                | c0_1(X50)
                | c2_1(X50) ) )
          | hskp27
          | ! [X51] :
              ( ndr1_0
             => ( c3_1(X51)
                | c2_1(X51)
                | c1_1(X51) ) ) )
        & ( ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | ~ c0_1(X39)
                | ~ c2_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | ~ c3_1(X38) ) )
          | hskp10 )
        & ( hskp8
          | ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | ~ c1_1(X89)
                | c0_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | ~ c2_1(X90)
                | ~ c3_1(X90) ) ) )
        & ( hskp10
          | ! [X24] :
              ( ndr1_0
             => ( ~ c0_1(X24)
                | ~ c1_1(X24)
                | ~ c2_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | ~ c2_1(X23)
                | ~ c3_1(X23) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | c1_1(X63)
                | c3_1(X63) ) )
          | hskp27
          | hskp16 )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | ~ c2_1(X64)
                | c3_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c3_1(X65)
                | ~ c1_1(X65) ) )
          | hskp8 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | c0_1(X52)
                | c2_1(X52) ) )
          | hskp0
          | ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | c1_1(X53)
                | c3_1(X53) ) ) )
        & ( ~ hskp2
          | ( ~ c2_1(a465)
            & ~ c0_1(a465)
            & ~ c3_1(a465)
            & ndr1_0 ) )
        & ( ( c1_1(a473)
            & ndr1_0
            & c0_1(a473)
            & c3_1(a473) )
          | ~ hskp27 )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | ~ c3_1(X80)
                | c2_1(X80) ) )
          | hskp12
          | hskp15 )
        & ( hskp12
          | hskp3
          | ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | ~ c0_1(X91)
                | ~ c3_1(X91) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c1_1(X27)
                | c2_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | ~ c2_1(X28)
                | c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c2_1(X29)
                | c1_1(X29) ) ) )
        & ( ( ~ c0_1(a480)
            & ~ c1_1(a480)
            & ~ c2_1(a480)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ~ hskp13
          | ( c0_1(a483)
            & c2_1(a483)
            & ndr1_0
            & ~ c3_1(a483) ) )
        & ( hskp2
          | hskp18
          | ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | c3_1(X62)
                | ~ c0_1(X62) ) ) )
        & ( hskp15
          | hskp2
          | ! [X40] :
              ( ndr1_0
             => ( c2_1(X40)
                | ~ c0_1(X40)
                | ~ c1_1(X40) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c1_1(X34)
                | c3_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | ~ c2_1(X35)
                | ~ c1_1(X35) ) )
          | hskp13 )
        & ( ~ hskp7
          | ( ~ c1_1(a474)
            & c3_1(a474)
            & ndr1_0
            & ~ c2_1(a474) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | ~ c2_1(X9)
                | ~ c1_1(X9) ) )
          | hskp27
          | hskp10 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c0_1(X83)
                | ~ c3_1(X83)
                | ~ c2_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c0_1(X82)
                | c2_1(X82)
                | ~ c3_1(X82) ) )
          | hskp9 )
        & ( ~ hskp16
          | ( c1_1(a493)
            & ~ c0_1(a493)
            & ~ c2_1(a493)
            & ndr1_0 ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c0_1(X58)
                | ~ c2_1(X58)
                | ~ c3_1(X58) ) )
          | hskp17
          | ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | ~ c2_1(X59)
                | ~ c0_1(X59) ) ) )
        & ( hskp7
          | hskp12
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | c1_1(X81)
                | c2_1(X81) ) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c2_1(X72)
                | c0_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | c3_1(X73)
                | c2_1(X73) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c1_1(X71)
                | ~ c0_1(X71)
                | ~ c3_1(X71) ) ) )
        & ( ~ hskp4
          | ( c3_1(a467)
            & ndr1_0
            & ~ c0_1(a467)
            & ~ c1_1(a467) ) )
        & ( ! [X85] :
              ( ndr1_0
             => ( c2_1(X85)
                | c3_1(X85)
                | c1_1(X85) ) )
          | hskp15
          | hskp3 )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | ~ c3_1(X44)
                | c2_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | c1_1(X43)
                | c2_1(X43) ) )
          | hskp28 )
        & ( ! [X0] :
              ( ndr1_0
             => ( c1_1(X0)
                | ~ c2_1(X0)
                | c3_1(X0) ) )
          | hskp19
          | hskp20 )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a512)
            & c3_1(a512)
            & ~ c1_1(a512) ) )
        & ( ~ hskp9
          | ( c0_1(a476)
            & c2_1(a476)
            & ~ c1_1(a476)
            & ndr1_0 ) )
        & ( ~ hskp1
          | ( ~ c1_1(a463)
            & c2_1(a463)
            & ~ c0_1(a463)
            & ndr1_0 ) )
        & ( ~ hskp17
          | ( ~ c3_1(a494)
            & ~ c1_1(a494)
            & ndr1_0
            & ~ c0_1(a494) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | ~ c2_1(X25)
                | ~ c1_1(X25) ) )
          | hskp9
          | ! [X26] :
              ( ndr1_0
             => ( c2_1(X26)
                | ~ c0_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp21
          | hskp6
          | hskp10 )
        & ( hskp22
          | hskp27
          | hskp17 )
        & ( ~ hskp11
          | ( c2_1(a478)
            & ~ c3_1(a478)
            & ndr1_0
            & ~ c0_1(a478) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c0_1(X37)
                | ~ c3_1(X37) ) )
          | hskp14
          | ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | ~ c1_1(X36)
                | ~ c3_1(X36) ) ) )
        & ( ~ hskp26
          | ( c3_1(a470)
            & c1_1(a470)
            & ndr1_0
            & c2_1(a470) ) )
        & ( hskp20
          | hskp18
          | ! [X22] :
              ( ndr1_0
             => ( c2_1(X22)
                | ~ c1_1(X22)
                | ~ c0_1(X22) ) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | ~ c0_1(X68)
                | c2_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | c0_1(X67)
                | ~ c2_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | ~ c2_1(X66)
                | c3_1(X66) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | c3_1(X54)
                | ~ c0_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | c2_1(X55)
                | c3_1(X55) ) )
          | hskp7 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | ~ c2_1(X84)
                | ~ c0_1(X84) ) )
          | hskp10
          | hskp26 )
        & ( ( c0_1(a461)
            & c3_1(a461)
            & c2_1(a461)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | c0_1(X92)
                | c1_1(X92) ) )
          | hskp1
          | hskp0 )
        & ( hskp6
          | hskp20
          | hskp12 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c2_1(X8)
                | ~ c1_1(X8)
                | c3_1(X8) ) )
          | hskp21
          | ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | ~ c3_1(X7)
                | ~ c0_1(X7) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( c2_1(X21)
                | ~ c1_1(X21)
                | c0_1(X21) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | ~ c1_1(X19)
                | ~ c3_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c2_1(X20)
                | c0_1(X20) ) ) )
        & ( ( c0_1(a475)
            & c1_1(a475)
            & ndr1_0
            & ~ c3_1(a475) )
          | ~ hskp8 )
        & ( hskp26
          | ! [X88] :
              ( ndr1_0
             => ( c0_1(X88)
                | ~ c2_1(X88)
                | c1_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | ~ c3_1(X87)
                | ~ c2_1(X87) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c1_1(X10)
                | c3_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | c2_1(X11)
                | c1_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c1_1(X12)
                | c0_1(X12)
                | c3_1(X12) ) ) )
        & ( hskp14
          | ! [X17] :
              ( ndr1_0
             => ( c1_1(X17)
                | c3_1(X17)
                | ~ c2_1(X17) ) )
          | hskp12 )
        & ( hskp23
          | hskp20
          | hskp9 )
        & ( ( ndr1_0
            & ~ c3_1(a488)
            & ~ c2_1(a488)
            & ~ c1_1(a488) )
          | ~ hskp14 )
        & ( ( ndr1_0
            & c3_1(a502)
            & ~ c0_1(a502)
            & c2_1(a502) )
          | ~ hskp19 )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c2_1(X3)
                | c1_1(X3) ) ) )
        & ( hskp2
          | hskp6
          | ! [X86] :
              ( ndr1_0
             => ( ~ c2_1(X86)
                | c0_1(X86)
                | c1_1(X86) ) ) )
        & ( hskp11
          | hskp5 )
        & ( hskp1
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | ~ c0_1(X2)
                | c3_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c1_1(X1)
                | ~ c0_1(X1)
                | ~ c2_1(X1) ) ) )
        & ( ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | c1_1(X18)
                | c2_1(X18) ) )
          | hskp16
          | hskp17 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | c2_1(X41)
                | ~ c0_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | ~ c0_1(X42)
                | ~ c3_1(X42) ) )
          | hskp3 )
        & ( ( c1_1(a524)
            & ~ c2_1(a524)
            & ndr1_0
            & c0_1(a524) )
          | ~ hskp22 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ! [X75] :
              ( ndr1_0
             => ( c3_1(X75)
                | ~ c2_1(X75)
                | c1_1(X75) ) )
          | hskp20
          | hskp19 )
        & ( hskp1
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | ~ c2_1(X83)
                | ~ c1_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | c3_1(X82)
                | ~ c0_1(X82) ) ) )
        & ( ~ hskp20
          | ( c3_1(a503)
            & ~ c1_1(a503)
            & c2_1(a503)
            & ndr1_0 ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a512)
            & c3_1(a512)
            & ~ c1_1(a512) ) )
        & ( ~ hskp16
          | ( c1_1(a493)
            & ~ c0_1(a493)
            & ~ c2_1(a493)
            & ndr1_0 ) )
        & ( ~ hskp2
          | ( ~ c2_1(a465)
            & ~ c0_1(a465)
            & ~ c3_1(a465)
            & ndr1_0 ) )
        & ( ~ hskp0
          | ( ~ c2_1(a460)
            & ~ c3_1(a460)
            & ndr1_0
            & c0_1(a460) ) )
        & ( ( c2_1(a500)
            & c1_1(a500)
            & ndr1_0
            & ~ c0_1(a500) )
          | ~ hskp18 )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | hskp0
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | ~ c2_1(X1)
                | c1_1(X1) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | ~ c0_1(X23)
                | ~ c2_1(X23) ) )
          | hskp5
          | ! [X22] :
              ( ndr1_0
             => ( c3_1(X22)
                | c0_1(X22)
                | c1_1(X22) ) ) )
        & ( ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | ~ c3_1(X87)
                | c2_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c2_1(X86)
                | c3_1(X86) ) )
          | hskp21 )
        & ( hskp10
          | hskp27
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | c0_1(X51)
                | ~ c2_1(X51) ) ) )
        & ( ( ~ c3_1(a477)
            & ndr1_0
            & c2_1(a477)
            & c1_1(a477) )
          | ~ hskp10 )
        & ( ~ hskp26
          | ( c3_1(a470)
            & c1_1(a470)
            & ndr1_0
            & c2_1(a470) ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( c3_1(X19)
                | ~ c1_1(X19)
                | ~ c2_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c1_1(X18)
                | c2_1(X18)
                | c3_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c1_1(X17)
                | c3_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp9
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c1_1(X78)
                | ~ c0_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | ~ c0_1(X77)
                | c1_1(X77) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | c0_1(X20)
                | c1_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | c2_1(X21)
                | ~ c1_1(X21) ) )
          | hskp4 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c3_1(X76)
                | ~ c2_1(X76) ) )
          | hskp12
          | hskp14 )
        & ( ( c0_1(a468)
            & ~ c2_1(a468)
            & c3_1(a468)
            & ndr1_0 )
          | ~ hskp5 )
        & ( hskp17
          | ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | c2_1(X69)
                | c1_1(X69) ) )
          | hskp16 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | ~ c3_1(X34)
                | ~ c1_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | ~ c3_1(X35)
                | c0_1(X35) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | ~ c1_1(X33) ) ) )
        & ( hskp20
          | hskp18
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | c2_1(X89)
                | ~ c0_1(X89) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | c0_1(X64)
                | ~ c3_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c1_1(X65)
                | ~ c0_1(X65)
                | ~ c2_1(X65) ) )
          | hskp10 )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | c0_1(X45)
                | ~ c2_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c2_1(X46)
                | ~ c0_1(X46)
                | c1_1(X46) ) )
          | hskp9 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c1_1(X7)
                | c0_1(X7)
                | c2_1(X7) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | c3_1(X9)
                | ~ c0_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c2_1(X8)
                | c1_1(X8) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c1_1(X2)
                | c2_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | c0_1(X3)
                | ~ c1_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c0_1(X4)
                | c3_1(X4)
                | c2_1(X4) ) ) )
        & ( hskp11
          | hskp7
          | ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | c2_1(X88)
                | ~ c1_1(X88) ) ) )
        & ( ( c0_1(a461)
            & c3_1(a461)
            & c2_1(a461)
            & ndr1_0 )
          | ~ hskp25 )
        & ( hskp11
          | hskp5 )
        & ( hskp13
          | ! [X50] :
              ( ndr1_0
             => ( c1_1(X50)
                | c3_1(X50)
                | ~ c0_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | c0_1(X49)
                | ~ c1_1(X49) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | c0_1(X56)
                | ~ c1_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c3_1(X57)
                | ~ c0_1(X57) ) )
          | hskp14 )
        & ( ( ndr1_0
            & c0_1(a490)
            & c2_1(a490)
            & c1_1(a490) )
          | ~ hskp28 )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c0_1(X40) ) )
          | hskp10
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | ~ c1_1(X41)
                | ~ c2_1(X41) ) ) )
        & ( ~ hskp9
          | ( c0_1(a476)
            & c2_1(a476)
            & ~ c1_1(a476)
            & ndr1_0 ) )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | ~ c1_1(X90)
                | c2_1(X90) ) )
          | hskp2
          | hskp15 )
        & ( hskp3
          | ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | ~ c0_1(X84)
                | c2_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | ~ c0_1(X85)
                | ~ c3_1(X85) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( c2_1(X66)
                | c1_1(X66)
                | c3_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c2_1(X67)
                | ~ c0_1(X67)
                | ~ c3_1(X67) ) )
          | hskp28 )
        & ( hskp0
          | hskp12
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | c3_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp6
          | hskp20
          | hskp12 )
        & ( ( ndr1_0
            & c3_1(a502)
            & ~ c0_1(a502)
            & c2_1(a502) )
          | ~ hskp19 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | c3_1(X72)
                | ~ c0_1(X72) ) )
          | hskp12
          | ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | ~ c0_1(X71)
                | c3_1(X71) ) ) )
        & ( hskp21
          | hskp6
          | hskp10 )
        & ( hskp11
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c2_1(X43)
                | ~ c0_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c3_1(X42)
                | ~ c1_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp27
          | ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c2_1(X29)
                | c3_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c2_1(X30)
                | c3_1(X30)
                | c1_1(X30) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | c0_1(X12)
                | c3_1(X12) ) )
          | hskp0
          | ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | c3_1(X11) ) ) )
        & ( ! [X32] :
              ( ndr1_0
             => ( c2_1(X32)
                | c3_1(X32)
                | ~ c0_1(X32) ) )
          | hskp7
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c0_1(X31)
                | c2_1(X31) ) ) )
        & ( ( c0_1(a475)
            & c1_1(a475)
            & ndr1_0
            & ~ c3_1(a475) )
          | ~ hskp8 )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | c0_1(X16)
                | ~ c1_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | c3_1(X15) ) )
          | hskp3 )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | ~ c3_1(X80)
                | ~ c2_1(X80) ) )
          | hskp17
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c1_1(X79)
                | ~ c2_1(X79) ) ) )
        & ( ( ndr1_0
            & ~ c3_1(a488)
            & ~ c2_1(a488)
            & ~ c1_1(a488) )
          | ~ hskp14 )
        & ( ~ hskp11
          | ( c2_1(a478)
            & ~ c3_1(a478)
            & ndr1_0
            & ~ c0_1(a478) ) )
        & ( hskp22
          | hskp27
          | hskp17 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | ~ c2_1(X47)
                | ~ c1_1(X47) ) )
          | hskp9
          | ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | c1_1(X48)
                | ~ c0_1(X48) ) ) )
        & ( hskp5
          | hskp25
          | hskp14 )
        & ( hskp18
          | hskp2
          | ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | ~ c0_1(X74)
                | c3_1(X74) ) ) )
        & ( hskp16
          | hskp27
          | ! [X73] :
              ( ndr1_0
             => ( c3_1(X73)
                | c1_1(X73)
                | ~ c0_1(X73) ) ) )
        & ( ~ hskp23
          | ( c0_1(a533)
            & ~ c1_1(a533)
            & ndr1_0
            & ~ c3_1(a533) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( ~ c0_1(X53)
                | c3_1(X53)
                | ~ c2_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | ~ c3_1(X52)
                | ~ c1_1(X52) ) )
          | hskp8 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | c3_1(X62)
                | ~ c2_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c2_1(X61)
                | ~ c3_1(X61) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | ~ c0_1(X63)
                | c2_1(X63) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( c3_1(X13)
                | c0_1(X13)
                | c1_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | c0_1(X14)
                | ~ c1_1(X14) ) )
          | hskp2 )
        & ( ~ hskp4
          | ( c3_1(a467)
            & ndr1_0
            & ~ c0_1(a467)
            & ~ c1_1(a467) ) )
        & ( ~ hskp17
          | ( ~ c3_1(a494)
            & ~ c1_1(a494)
            & ndr1_0
            & ~ c0_1(a494) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | ~ c1_1(X60)
                | ~ c3_1(X60) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c2_1(X58)
                | ~ c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | c3_1(X59)
                | c2_1(X59) ) ) )
        & ( ( c1_1(a466)
            & ndr1_0
            & c3_1(a466)
            & ~ c0_1(a466) )
          | ~ hskp3 )
        & ( ~ hskp7
          | ( ~ c1_1(a474)
            & c3_1(a474)
            & ndr1_0
            & ~ c2_1(a474) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c3_1(X24)
                | c1_1(X24) ) )
          | hskp4
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | ~ c3_1(X25)
                | ~ c2_1(X25) ) ) )
        & ( ( c1_1(a473)
            & ndr1_0
            & c0_1(a473)
            & c3_1(a473) )
          | ~ hskp27 )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | ~ c2_1(X55)
                | ~ c1_1(X55) ) )
          | hskp7
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | c0_1(X54)
                | ~ c1_1(X54) ) ) )
        & ( hskp25
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | ~ c0_1(X6)
                | c1_1(X6) ) ) )
        & ( hskp12
          | hskp15
          | ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | ~ c1_1(X91)
                | ~ c3_1(X91) ) ) )
        & ( ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | c1_1(X70)
                | c2_1(X70) ) )
          | hskp12
          | hskp7 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | ~ c3_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | c0_1(X39)
                | ~ c3_1(X39) ) )
          | hskp9 )
        & ( ( c1_1(a524)
            & ~ c2_1(a524)
            & ndr1_0
            & c0_1(a524) )
          | ~ hskp22 )
        & ( hskp10
          | hskp26
          | ! [X92] :
              ( ndr1_0
             => ( c3_1(X92)
                | ~ c2_1(X92)
                | ~ c0_1(X92) ) ) )
        & ( ( ~ c0_1(a480)
            & ~ c1_1(a480)
            & ~ c2_1(a480)
            & ndr1_0 )
          | ~ hskp12 )
        & ( hskp8
          | hskp15
          | hskp16 )
        & ( ~ hskp6
          | ( ~ c1_1(a471)
            & c2_1(a471)
            & ndr1_0
            & ~ c3_1(a471) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( c2_1(X68)
                | c1_1(X68)
                | c3_1(X68) ) )
          | hskp15
          | hskp3 )
        & ( hskp2
          | ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c1_1(X28)
                | ~ c2_1(X28) ) )
          | hskp6 )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c2_1(X27)
                | ~ c0_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c1_1(X26)
                | ~ c2_1(X26)
                | c0_1(X26) ) )
          | hskp26 )
        & ( ( ndr1_0
            & c0_1(a540)
            & ~ c2_1(a540)
            & ~ c1_1(a540) )
          | ~ hskp24 )
        & ( ~ hskp1
          | ( ~ c1_1(a463)
            & c2_1(a463)
            & ~ c0_1(a463)
            & ndr1_0 ) )
        & ( hskp23
          | hskp20
          | hskp9 )
        & ( ~ hskp13
          | ( c0_1(a483)
            & c2_1(a483)
            & ndr1_0
            & ~ c3_1(a483) ) )
        & ( ( ndr1_0
            & c3_1(a492)
            & ~ c2_1(a492)
            & c1_1(a492) )
          | ~ hskp15 )
        & ( hskp15
          | hskp24
          | hskp16 )
        & ( hskp8
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c0_1(X36)
                | c2_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c1_1(X37)
                | ~ c3_1(X37)
                | ~ c2_1(X37) ) ) )
        & ( hskp12
          | hskp3
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | ~ c3_1(X81)
                | c1_1(X81) ) ) )
        & ( hskp0
          | hskp1
          | ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | c2_1(X10) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( ! [X75] :
            ( ndr1_0
           => ( c3_1(X75)
              | ~ c2_1(X75)
              | c1_1(X75) ) )
        | hskp20
        | hskp19 )
      & ( hskp1
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | ~ c2_1(X83)
              | ~ c1_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( c2_1(X82)
              | c3_1(X82)
              | ~ c0_1(X82) ) ) )
      & ( ~ hskp20
        | ( c3_1(a503)
          & ~ c1_1(a503)
          & c2_1(a503)
          & ndr1_0 ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a512)
          & c3_1(a512)
          & ~ c1_1(a512) ) )
      & ( ~ hskp16
        | ( c1_1(a493)
          & ~ c0_1(a493)
          & ~ c2_1(a493)
          & ndr1_0 ) )
      & ( ~ hskp2
        | ( ~ c2_1(a465)
          & ~ c0_1(a465)
          & ~ c3_1(a465)
          & ndr1_0 ) )
      & ( ~ hskp0
        | ( ~ c2_1(a460)
          & ~ c3_1(a460)
          & ndr1_0
          & c0_1(a460) ) )
      & ( ( c2_1(a500)
          & c1_1(a500)
          & ndr1_0
          & ~ c0_1(a500) )
        | ~ hskp18 )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | hskp0
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | ~ c2_1(X1)
              | c1_1(X1) ) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( ~ c1_1(X23)
              | ~ c0_1(X23)
              | ~ c2_1(X23) ) )
        | hskp5
        | ! [X22] :
            ( ndr1_0
           => ( c3_1(X22)
              | c0_1(X22)
              | c1_1(X22) ) ) )
      & ( ! [X87] :
            ( ndr1_0
           => ( ~ c0_1(X87)
              | ~ c3_1(X87)
              | c2_1(X87) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c1_1(X86)
              | c2_1(X86)
              | c3_1(X86) ) )
        | hskp21 )
      & ( hskp10
        | hskp27
        | ! [X51] :
            ( ndr1_0
           => ( ~ c1_1(X51)
              | c0_1(X51)
              | ~ c2_1(X51) ) ) )
      & ( ( ~ c3_1(a477)
          & ndr1_0
          & c2_1(a477)
          & c1_1(a477) )
        | ~ hskp10 )
      & ( ~ hskp26
        | ( c3_1(a470)
          & c1_1(a470)
          & ndr1_0
          & c2_1(a470) ) )
      & ( ! [X19] :
            ( ndr1_0
           => ( c3_1(X19)
              | ~ c1_1(X19)
              | ~ c2_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c1_1(X18)
              | c2_1(X18)
              | c3_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c1_1(X17)
              | c3_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp9
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | c1_1(X78)
              | ~ c0_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c2_1(X77)
              | ~ c0_1(X77)
              | c1_1(X77) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( c3_1(X20)
              | c0_1(X20)
              | c1_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | c2_1(X21)
              | ~ c1_1(X21) ) )
        | hskp4 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | c3_1(X76)
              | ~ c2_1(X76) ) )
        | hskp12
        | hskp14 )
      & ( ( c0_1(a468)
          & ~ c2_1(a468)
          & c3_1(a468)
          & ndr1_0 )
        | ~ hskp5 )
      & ( hskp17
        | ! [X69] :
            ( ndr1_0
           => ( ~ c0_1(X69)
              | c2_1(X69)
              | c1_1(X69) ) )
        | hskp16 )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | ~ c3_1(X34)
              | ~ c1_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c2_1(X35)
              | ~ c3_1(X35)
              | c0_1(X35) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c2_1(X33)
              | ~ c1_1(X33) ) ) )
      & ( hskp20
        | hskp18
        | ! [X89] :
            ( ndr1_0
           => ( ~ c1_1(X89)
              | c2_1(X89)
              | ~ c0_1(X89) ) ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( ~ c2_1(X64)
              | c0_1(X64)
              | ~ c3_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c1_1(X65)
              | ~ c0_1(X65)
              | ~ c2_1(X65) ) )
        | hskp10 )
      & ( ! [X45] :
            ( ndr1_0
           => ( ~ c1_1(X45)
              | c0_1(X45)
              | ~ c2_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c2_1(X46)
              | ~ c0_1(X46)
              | c1_1(X46) ) )
        | hskp9 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c1_1(X7)
              | c0_1(X7)
              | c2_1(X7) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | c3_1(X9)
              | ~ c0_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c3_1(X8)
              | ~ c2_1(X8)
              | c1_1(X8) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c1_1(X2)
              | c2_1(X2) ) )
        | ! [X3] :
            ( ndr1_0
           => ( ~ c3_1(X3)
              | c0_1(X3)
              | ~ c1_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( ~ c0_1(X4)
              | c3_1(X4)
              | c2_1(X4) ) ) )
      & ( hskp11
        | hskp7
        | ! [X88] :
            ( ndr1_0
           => ( c3_1(X88)
              | c2_1(X88)
              | ~ c1_1(X88) ) ) )
      & ( ( c0_1(a461)
          & c3_1(a461)
          & c2_1(a461)
          & ndr1_0 )
        | ~ hskp25 )
      & ( hskp11
        | hskp5 )
      & ( hskp13
        | ! [X50] :
            ( ndr1_0
           => ( c1_1(X50)
              | c3_1(X50)
              | ~ c0_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | c0_1(X49)
              | ~ c1_1(X49) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | c0_1(X56)
              | ~ c1_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | ~ c3_1(X57)
              | ~ c0_1(X57) ) )
        | hskp14 )
      & ( ( ndr1_0
          & c0_1(a490)
          & c2_1(a490)
          & c1_1(a490) )
        | ~ hskp28 )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | c2_1(X40)
              | c0_1(X40) ) )
        | hskp10
        | ! [X41] :
            ( ndr1_0
           => ( ~ c0_1(X41)
              | ~ c1_1(X41)
              | ~ c2_1(X41) ) ) )
      & ( ~ hskp9
        | ( c0_1(a476)
          & c2_1(a476)
          & ~ c1_1(a476)
          & ndr1_0 ) )
      & ( ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | ~ c1_1(X90)
              | c2_1(X90) ) )
        | hskp2
        | hskp15 )
      & ( hskp3
        | ! [X84] :
            ( ndr1_0
           => ( c3_1(X84)
              | ~ c0_1(X84)
              | c2_1(X84) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c1_1(X85)
              | ~ c0_1(X85)
              | ~ c3_1(X85) ) ) )
      & ( ! [X66] :
            ( ndr1_0
           => ( c2_1(X66)
              | c1_1(X66)
              | c3_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c2_1(X67)
              | ~ c0_1(X67)
              | ~ c3_1(X67) ) )
        | hskp28 )
      & ( hskp0
        | hskp12
        | ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | c3_1(X44)
              | c0_1(X44) ) ) )
      & ( hskp6
        | hskp20
        | hskp12 )
      & ( ( ndr1_0
          & c3_1(a502)
          & ~ c0_1(a502)
          & c2_1(a502) )
        | ~ hskp19 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c2_1(X72)
              | c3_1(X72)
              | ~ c0_1(X72) ) )
        | hskp12
        | ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | ~ c0_1(X71)
              | c3_1(X71) ) ) )
      & ( hskp21
        | hskp6
        | hskp10 )
      & ( hskp11
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | ~ c2_1(X43)
              | ~ c0_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c3_1(X42)
              | ~ c1_1(X42)
              | c0_1(X42) ) ) )
      & ( hskp27
        | ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c2_1(X29)
              | c3_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c2_1(X30)
              | c3_1(X30)
              | c1_1(X30) ) ) )
      & ( ! [X12] :
            ( ndr1_0
           => ( c2_1(X12)
              | c0_1(X12)
              | c3_1(X12) ) )
        | hskp0
        | ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | c3_1(X11) ) ) )
      & ( ! [X32] :
            ( ndr1_0
           => ( c2_1(X32)
              | c3_1(X32)
              | ~ c0_1(X32) ) )
        | hskp7
        | ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | c0_1(X31)
              | c2_1(X31) ) ) )
      & ( ( c0_1(a475)
          & c1_1(a475)
          & ndr1_0
          & ~ c3_1(a475) )
        | ~ hskp8 )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | c0_1(X16)
              | ~ c1_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | c3_1(X15) ) )
        | hskp3 )
      & ( ! [X80] :
            ( ndr1_0
           => ( ~ c0_1(X80)
              | ~ c3_1(X80)
              | ~ c2_1(X80) ) )
        | hskp17
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | c1_1(X79)
              | ~ c2_1(X79) ) ) )
      & ( ( ndr1_0
          & ~ c3_1(a488)
          & ~ c2_1(a488)
          & ~ c1_1(a488) )
        | ~ hskp14 )
      & ( ~ hskp11
        | ( c2_1(a478)
          & ~ c3_1(a478)
          & ndr1_0
          & ~ c0_1(a478) ) )
      & ( hskp22
        | hskp27
        | hskp17 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | ~ c2_1(X47)
              | ~ c1_1(X47) ) )
        | hskp9
        | ! [X48] :
            ( ndr1_0
           => ( c3_1(X48)
              | c1_1(X48)
              | ~ c0_1(X48) ) ) )
      & ( hskp5
        | hskp25
        | hskp14 )
      & ( hskp18
        | hskp2
        | ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | ~ c0_1(X74)
              | c3_1(X74) ) ) )
      & ( hskp16
        | hskp27
        | ! [X73] :
            ( ndr1_0
           => ( c3_1(X73)
              | c1_1(X73)
              | ~ c0_1(X73) ) ) )
      & ( ~ hskp23
        | ( c0_1(a533)
          & ~ c1_1(a533)
          & ndr1_0
          & ~ c3_1(a533) ) )
      & ( ! [X53] :
            ( ndr1_0
           => ( ~ c0_1(X53)
              | c3_1(X53)
              | ~ c2_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | ~ c3_1(X52)
              | ~ c1_1(X52) ) )
        | hskp8 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c1_1(X62)
              | c3_1(X62)
              | ~ c2_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | ~ c2_1(X61)
              | ~ c3_1(X61) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c1_1(X63)
              | ~ c0_1(X63)
              | c2_1(X63) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( c3_1(X13)
              | c0_1(X13)
              | c1_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | c0_1(X14)
              | ~ c1_1(X14) ) )
        | hskp2 )
      & ( ~ hskp4
        | ( c3_1(a467)
          & ndr1_0
          & ~ c0_1(a467)
          & ~ c1_1(a467) ) )
      & ( ~ hskp17
        | ( ~ c3_1(a494)
          & ~ c1_1(a494)
          & ndr1_0
          & ~ c0_1(a494) ) )
      & ( ! [X60] :
            ( ndr1_0
           => ( ~ c0_1(X60)
              | ~ c1_1(X60)
              | ~ c3_1(X60) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | ~ c2_1(X58)
              | ~ c3_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c1_1(X59)
              | c3_1(X59)
              | c2_1(X59) ) ) )
      & ( ( c1_1(a466)
          & ndr1_0
          & c3_1(a466)
          & ~ c0_1(a466) )
        | ~ hskp3 )
      & ( ~ hskp7
        | ( ~ c1_1(a474)
          & c3_1(a474)
          & ndr1_0
          & ~ c2_1(a474) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c3_1(X24)
              | c1_1(X24) ) )
        | hskp4
        | ! [X25] :
            ( ndr1_0
           => ( ~ c1_1(X25)
              | ~ c3_1(X25)
              | ~ c2_1(X25) ) ) )
      & ( ( c1_1(a473)
          & ndr1_0
          & c0_1(a473)
          & c3_1(a473) )
        | ~ hskp27 )
      & ( ! [X55] :
            ( ndr1_0
           => ( ~ c0_1(X55)
              | ~ c2_1(X55)
              | ~ c1_1(X55) ) )
        | hskp7
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | c0_1(X54)
              | ~ c1_1(X54) ) ) )
      & ( hskp25
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | ~ c0_1(X6)
              | c1_1(X6) ) ) )
      & ( hskp12
        | hskp15
        | ! [X91] :
            ( ndr1_0
           => ( c2_1(X91)
              | ~ c1_1(X91)
              | ~ c3_1(X91) ) ) )
      & ( ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | c1_1(X70)
              | c2_1(X70) ) )
        | hskp12
        | hskp7 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c2_1(X38)
              | ~ c3_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c2_1(X39)
              | c0_1(X39)
              | ~ c3_1(X39) ) )
        | hskp9 )
      & ( ( c1_1(a524)
          & ~ c2_1(a524)
          & ndr1_0
          & c0_1(a524) )
        | ~ hskp22 )
      & ( hskp10
        | hskp26
        | ! [X92] :
            ( ndr1_0
           => ( c3_1(X92)
              | ~ c2_1(X92)
              | ~ c0_1(X92) ) ) )
      & ( ( ~ c0_1(a480)
          & ~ c1_1(a480)
          & ~ c2_1(a480)
          & ndr1_0 )
        | ~ hskp12 )
      & ( hskp8
        | hskp15
        | hskp16 )
      & ( ~ hskp6
        | ( ~ c1_1(a471)
          & c2_1(a471)
          & ndr1_0
          & ~ c3_1(a471) ) )
      & ( ! [X68] :
            ( ndr1_0
           => ( c2_1(X68)
              | c1_1(X68)
              | c3_1(X68) ) )
        | hskp15
        | hskp3 )
      & ( hskp2
        | ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c1_1(X28)
              | ~ c2_1(X28) ) )
        | hskp6 )
      & ( ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | ~ c2_1(X27)
              | ~ c0_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c1_1(X26)
              | ~ c2_1(X26)
              | c0_1(X26) ) )
        | hskp26 )
      & ( ( ndr1_0
          & c0_1(a540)
          & ~ c2_1(a540)
          & ~ c1_1(a540) )
        | ~ hskp24 )
      & ( ~ hskp1
        | ( ~ c1_1(a463)
          & c2_1(a463)
          & ~ c0_1(a463)
          & ndr1_0 ) )
      & ( hskp23
        | hskp20
        | hskp9 )
      & ( ~ hskp13
        | ( c0_1(a483)
          & c2_1(a483)
          & ndr1_0
          & ~ c3_1(a483) ) )
      & ( ( ndr1_0
          & c3_1(a492)
          & ~ c2_1(a492)
          & c1_1(a492) )
        | ~ hskp15 )
      & ( hskp15
        | hskp24
        | hskp16 )
      & ( hskp8
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c0_1(X36)
              | c2_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c1_1(X37)
              | ~ c3_1(X37)
              | ~ c2_1(X37) ) ) )
      & ( hskp12
        | hskp3
        | ! [X81] :
            ( ndr1_0
           => ( ~ c0_1(X81)
              | ~ c3_1(X81)
              | c1_1(X81) ) ) )
      & ( hskp0
        | hskp1
        | ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | c2_1(X10) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f906,plain,
    ( spl0_20
    | spl0_7
    | spl0_9 ),
    inference(avatar_split_clause,[],[f180,f216,f207,f262]) ).

fof(f262,plain,
    ( spl0_20
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f207,plain,
    ( spl0_7
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f180,plain,
    ( hskp20
    | hskp23
    | hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f904,plain,
    ( spl0_20
    | ~ spl0_5
    | spl0_78
    | spl0_138 ),
    inference(avatar_split_clause,[],[f44,f864,f530,f199,f262]) ).

fof(f199,plain,
    ( spl0_5
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f44,plain,
    ! [X14,X13] :
      ( c1_1(X14)
      | ~ c3_1(X13)
      | ~ c0_1(X14)
      | ~ ndr1_0
      | c1_1(X13)
      | hskp9
      | ~ c0_1(X13)
      | ~ c2_1(X14) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f903,plain,
    ( ~ spl0_11
    | spl0_145 ),
    inference(avatar_split_clause,[],[f136,f900,f225]) ).

fof(f225,plain,
    ( spl0_11
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f136,plain,
    ( c2_1(a461)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f898,plain,
    ( spl0_144
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f109,f510,f895]) ).

fof(f510,plain,
    ( spl0_74
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f109,plain,
    ( ~ hskp6
    | c2_1(a471) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f893,plain,
    ( ~ spl0_15
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f111,f890,f241]) ).

fof(f241,plain,
    ( spl0_15
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f111,plain,
    ( ~ c2_1(a474)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f887,plain,
    ( ~ spl0_100
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f118,f884,f642]) ).

fof(f642,plain,
    ( spl0_100
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f118,plain,
    ( ~ c3_1(a494)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f881,plain,
    ( ~ spl0_141
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f110,f510,f878]) ).

fof(f110,plain,
    ( ~ hskp6
    | ~ c1_1(a471) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f876,plain,
    ( ~ spl0_140
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f63,f471,f873]) ).

fof(f471,plain,
    ( spl0_66
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f63,plain,
    ( ~ hskp18
    | ~ c0_1(a500) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f866,plain,
    ( ~ spl0_5
    | spl0_138
    | spl0_73
    | spl0_100 ),
    inference(avatar_split_clause,[],[f43,f642,f504,f864,f199]) ).

fof(f43,plain,
    ! [X58,X59] :
      ( hskp17
      | ~ c2_1(X58)
      | ~ c3_1(X58)
      | c1_1(X59)
      | ~ c0_1(X58)
      | ~ ndr1_0
      | ~ c0_1(X59)
      | ~ c2_1(X59) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f836,plain,
    ( spl0_30
    | spl0_22
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f48,f203,f199,f271,f307]) ).

fof(f307,plain,
    ( spl0_30
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f271,plain,
    ( spl0_22
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f48,plain,
    ! [X40] :
      ( ~ c0_1(X40)
      | c2_1(X40)
      | ~ ndr1_0
      | ~ c1_1(X40)
      | hskp2
      | hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f830,plain,
    ( ~ spl0_100
    | spl0_5 ),
    inference(avatar_split_clause,[],[f116,f199,f642]) ).

fof(f116,plain,
    ( ndr1_0
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f823,plain,
    ( spl0_30
    | spl0_95
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_split_clause,[],[f45,f230,f199,f619,f307]) ).

fof(f230,plain,
    ( spl0_12
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f45,plain,
    ! [X85] :
      ( hskp3
      | ~ ndr1_0
      | c1_1(X85)
      | c3_1(X85)
      | hskp15
      | c2_1(X85) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f817,plain,
    ( ~ spl0_130
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f157,f216,f814]) ).

fof(f157,plain,
    ( ~ hskp20
    | ~ c1_1(a503) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f803,plain,
    ( spl0_5
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f104,f554,f199]) ).

fof(f554,plain,
    ( spl0_83
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f104,plain,
    ( ~ hskp22
    | ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f802,plain,
    ( ~ spl0_5
    | spl0_58
    | spl0_55
    | spl0_41 ),
    inference(avatar_split_clause,[],[f40,f357,f422,f434,f199]) ).

fof(f434,plain,
    ( spl0_58
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f40,plain,
    ! [X34,X35] :
      ( ~ c2_1(X35)
      | c3_1(X34)
      | hskp13
      | ~ ndr1_0
      | c1_1(X34)
      | ~ c0_1(X34)
      | c0_1(X35)
      | ~ c1_1(X35) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f798,plain,
    ( spl0_127
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f165,f262,f795]) ).

fof(f165,plain,
    ( ~ hskp9
    | c2_1(a476) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f788,plain,
    ( ~ spl0_125
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f129,f271,f785]) ).

fof(f129,plain,
    ( ~ hskp2
    | ~ c0_1(a465) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f783,plain,
    ( ~ spl0_12
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f139,f780,f230]) ).

fof(f139,plain,
    ( ~ c0_1(a466)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f773,plain,
    ( ~ spl0_5
    | spl0_72
    | spl0_26
    | spl0_56 ),
    inference(avatar_split_clause,[],[f8,f425,f289,f501,f199]) ).

fof(f289,plain,
    ( spl0_26
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f8,plain,
    ! [X3,X4] :
      ( c0_1(X3)
      | hskp0
      | c0_1(X4)
      | ~ c2_1(X4)
      | ~ ndr1_0
      | c1_1(X4)
      | c1_1(X3)
      | c2_1(X3) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f772,plain,
    ( ~ spl0_122
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f121,f207,f769]) ).

fof(f121,plain,
    ( ~ hskp23
    | ~ c1_1(a533) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f767,plain,
    ( spl0_121
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f95,f307,f764]) ).

fof(f95,plain,
    ( ~ hskp15
    | c1_1(a492) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f762,plain,
    ( spl0_24
    | spl0_83
    | spl0_100 ),
    inference(avatar_split_clause,[],[f177,f642,f554,f281]) ).

fof(f281,plain,
    ( spl0_24
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f177,plain,
    ( hskp17
    | hskp22
    | hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f761,plain,
    ( ~ spl0_120
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f149,f333,f758]) ).

fof(f333,plain,
    ( spl0_36
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f149,plain,
    ( ~ hskp5
    | ~ c2_1(a468) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f756,plain,
    ( ~ spl0_119
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f117,f642,f753]) ).

fof(f117,plain,
    ( ~ hskp17
    | ~ c1_1(a494) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f751,plain,
    ( ~ spl0_18
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f143,f748,f253]) ).

fof(f253,plain,
    ( spl0_18
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f143,plain,
    ( ~ c3_1(a475)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f746,plain,
    ( ~ spl0_117
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f73,f417,f743]) ).

fof(f417,plain,
    ( spl0_54
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f73,plain,
    ( ~ hskp14
    | ~ c3_1(a488) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f740,plain,
    ( ~ spl0_5
    | spl0_52
    | spl0_116
    | spl0_73 ),
    inference(avatar_split_clause,[],[f34,f504,f738,f407,f199]) ).

fof(f407,plain,
    ( spl0_52
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f34,plain,
    ! [X48,X49] :
      ( ~ c3_1(X48)
      | ~ c2_1(X48)
      | c3_1(X49)
      | hskp11
      | c0_1(X49)
      | ~ c1_1(X49)
      | ~ ndr1_0
      | ~ c0_1(X48) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f736,plain,
    ( ~ spl0_58
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f167,f733,f434]) ).

fof(f167,plain,
    ( ~ c3_1(a483)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f729,plain,
    ( spl0_114
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f142,f230,f726]) ).

fof(f142,plain,
    ( ~ hskp3
    | c1_1(a466) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f724,plain,
    ( ~ spl0_5
    | spl0_56
    | spl0_60
    | spl0_13 ),
    inference(avatar_split_clause,[],[f32,f234,f445,f425,f199]) ).

fof(f32,plain,
    ! [X31,X32,X30] :
      ( ~ c3_1(X31)
      | c3_1(X32)
      | c1_1(X30)
      | ~ c1_1(X31)
      | ~ c0_1(X32)
      | ~ ndr1_0
      | c2_1(X30)
      | c0_1(X30)
      | c2_1(X32)
      | c0_1(X31) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f718,plain,
    ( ~ spl0_112
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f114,f241,f715]) ).

fof(f114,plain,
    ( ~ hskp7
    | ~ c1_1(a474) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f707,plain,
    ( ~ spl0_110
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f82,f289,f704]) ).

fof(f82,plain,
    ( ~ hskp0
    | ~ c2_1(a460) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f696,plain,
    ( ~ spl0_108
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f83,f407,f693]) ).

fof(f83,plain,
    ( ~ hskp11
    | ~ c0_1(a478) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f691,plain,
    ( ~ spl0_5
    | spl0_107
    | spl0_52
    | spl0_15 ),
    inference(avatar_split_clause,[],[f16,f241,f407,f689,f199]) ).

fof(f16,plain,
    ! [X33] :
      ( hskp7
      | hskp11
      | c2_1(X33)
      | c3_1(X33)
      | ~ c1_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f678,plain,
    ( spl0_105
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f113,f241,f675]) ).

fof(f113,plain,
    ( ~ hskp7
    | c3_1(a474) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f673,plain,
    ( spl0_104
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f65,f471,f670]) ).

fof(f65,plain,
    ( ~ hskp18
    | c1_1(a500) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f667,plain,
    ( spl0_36
    | spl0_54
    | spl0_11 ),
    inference(avatar_split_clause,[],[f178,f225,f417,f333]) ).

fof(f178,plain,
    ( hskp25
    | hskp14
    | hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f665,plain,
    ( ~ spl0_11
    | spl0_103 ),
    inference(avatar_split_clause,[],[f138,f662,f225]) ).

fof(f138,plain,
    ( c0_1(a461)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f660,plain,
    ( spl0_2
    | spl0_74
    | spl0_9 ),
    inference(avatar_split_clause,[],[f176,f216,f510,f188]) ).

fof(f188,plain,
    ( spl0_2
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f176,plain,
    ( hskp20
    | hskp6
    | hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f659,plain,
    ( spl0_15
    | spl0_60
    | ~ spl0_5
    | spl0_25 ),
    inference(avatar_split_clause,[],[f51,f286,f199,f445,f241]) ).

fof(f51,plain,
    ! [X54,X55] :
      ( c2_1(X55)
      | c3_1(X55)
      | ~ ndr1_0
      | c3_1(X54)
      | ~ c0_1(X54)
      | c2_1(X54)
      | hskp7
      | c0_1(X55) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f652,plain,
    ( ~ spl0_5
    | spl0_13
    | spl0_18
    | spl0_33 ),
    inference(avatar_split_clause,[],[f29,f321,f253,f234,f199]) ).

fof(f29,plain,
    ! [X65,X64] :
      ( ~ c0_1(X64)
      | hskp8
      | c3_1(X64)
      | ~ c3_1(X65)
      | ~ c1_1(X65)
      | c0_1(X65)
      | ~ c2_1(X64)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f651,plain,
    ( ~ spl0_101
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f124,f380,f648]) ).

fof(f380,plain,
    ( spl0_46
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f124,plain,
    ( ~ hskp1
    | ~ c0_1(a463) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f645,plain,
    ( ~ spl0_99
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f115,f642,f638]) ).

fof(f115,plain,
    ( ~ hskp17
    | ~ c0_1(a494) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f636,plain,
    ( ~ spl0_2
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f132,f633,f188]) ).

fof(f132,plain,
    ( ~ c2_1(a480)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f631,plain,
    ( ~ spl0_30
    | spl0_97 ),
    inference(avatar_split_clause,[],[f97,f628,f307]) ).

fof(f97,plain,
    ( c3_1(a492)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f626,plain,
    ( ~ spl0_96
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f71,f417,f623]) ).

fof(f71,plain,
    ( ~ hskp14
    | ~ c1_1(a488) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f612,plain,
    ( spl0_93
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f67,f212,f609]) ).

fof(f212,plain,
    ( spl0_8
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f67,plain,
    ( ~ hskp19
    | c2_1(a502) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f607,plain,
    ( spl0_26
    | spl0_56
    | ~ spl0_5
    | spl0_46 ),
    inference(avatar_split_clause,[],[f18,f380,f199,f425,f289]) ).

fof(f18,plain,
    ! [X92] :
      ( hskp1
      | ~ ndr1_0
      | c0_1(X92)
      | c1_1(X92)
      | hskp0
      | c2_1(X92) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f602,plain,
    ( spl0_56
    | ~ spl0_5
    | spl0_33
    | spl0_91 ),
    inference(avatar_split_clause,[],[f22,f600,f321,f199,f425]) ).

fof(f22,plain,
    ! [X28,X29,X27] :
      ( c1_1(X29)
      | c3_1(X28)
      | ~ c3_1(X29)
      | ~ ndr1_0
      | ~ c0_1(X28)
      | ~ c2_1(X28)
      | c2_1(X27)
      | ~ c2_1(X29)
      | c1_1(X27)
      | c0_1(X27) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f597,plain,
    ( spl0_2
    | spl0_60
    | ~ spl0_5
    | spl0_55 ),
    inference(avatar_split_clause,[],[f58,f422,f199,f445,f188]) ).

fof(f58,plain,
    ! [X46,X47] :
      ( c1_1(X47)
      | ~ ndr1_0
      | c2_1(X46)
      | hskp12
      | ~ c0_1(X46)
      | c3_1(X46)
      | c3_1(X47)
      | ~ c0_1(X47) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f590,plain,
    ( spl0_89
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f170,f434,f587]) ).

fof(f170,plain,
    ( ~ hskp13
    | c0_1(a483) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f585,plain,
    ( ~ spl0_36
    | spl0_88 ),
    inference(avatar_split_clause,[],[f148,f582,f333]) ).

fof(f148,plain,
    ( c3_1(a468)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f578,plain,
    ( ~ spl0_87
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f107,f510,f575]) ).

fof(f107,plain,
    ( ~ hskp6
    | ~ c3_1(a471) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f568,plain,
    ( spl0_13
    | ~ spl0_5
    | spl0_73
    | spl0_54 ),
    inference(avatar_split_clause,[],[f28,f417,f504,f199,f234]) ).

fof(f28,plain,
    ! [X36,X37] :
      ( hskp14
      | ~ c0_1(X37)
      | ~ ndr1_0
      | ~ c2_1(X37)
      | ~ c3_1(X36)
      | ~ c1_1(X36)
      | c0_1(X36)
      | ~ c3_1(X37) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f567,plain,
    ( ~ spl0_85
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f85,f407,f564]) ).

fof(f85,plain,
    ( ~ hskp11
    | ~ c3_1(a478) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f562,plain,
    ( spl0_84
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f156,f216,f559]) ).

fof(f156,plain,
    ( ~ hskp20
    | c2_1(a503) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f548,plain,
    ( spl0_81
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f66,f471,f545]) ).

fof(f66,plain,
    ( ~ hskp18
    | c2_1(a500) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f543,plain,
    ( ~ spl0_34
    | spl0_80 ),
    inference(avatar_split_clause,[],[f153,f540,f324]) ).

fof(f324,plain,
    ( spl0_34
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f153,plain,
    ( c1_1(a470)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f537,plain,
    ( spl0_79
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f145,f253,f534]) ).

fof(f145,plain,
    ( ~ hskp8
    | c1_1(a475) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f532,plain,
    ( ~ spl0_5
    | spl0_12
    | spl0_2
    | spl0_78 ),
    inference(avatar_split_clause,[],[f33,f530,f188,f230,f199]) ).

fof(f33,plain,
    ! [X91] :
      ( ~ c0_1(X91)
      | ~ c3_1(X91)
      | hskp12
      | c1_1(X91)
      | hskp3
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f528,plain,
    ( spl0_77
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f125,f380,f525]) ).

fof(f125,plain,
    ( ~ hskp1
    | c2_1(a463) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f518,plain,
    ( ~ spl0_75
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f119,f207,f515]) ).

fof(f119,plain,
    ( ~ hskp23
    | ~ c3_1(a533) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f513,plain,
    ( ~ spl0_5
    | spl0_22
    | spl0_74
    | spl0_72 ),
    inference(avatar_split_clause,[],[f52,f501,f510,f271,f199]) ).

fof(f52,plain,
    ! [X86] :
      ( ~ c2_1(X86)
      | hskp6
      | c0_1(X86)
      | hskp2
      | ~ ndr1_0
      | c1_1(X86) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f507,plain,
    ( spl0_15
    | spl0_13
    | ~ spl0_5
    | spl0_32 ),
    inference(avatar_split_clause,[],[f11,f317,f199,f234,f241]) ).

fof(f11,plain,
    ! [X76,X77] :
      ( ~ c1_1(X76)
      | ~ ndr1_0
      | ~ c0_1(X76)
      | ~ c2_1(X76)
      | ~ c1_1(X77)
      | ~ c3_1(X77)
      | hskp7
      | c0_1(X77) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f506,plain,
    ( spl0_72
    | spl0_73
    | spl0_34
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f19,f199,f324,f504,f501]) ).

fof(f19,plain,
    ! [X88,X87] :
      ( ~ ndr1_0
      | hskp26
      | ~ c2_1(X87)
      | ~ c2_1(X88)
      | ~ c0_1(X87)
      | c1_1(X88)
      | ~ c3_1(X87)
      | c0_1(X88) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f494,plain,
    ( spl0_70
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f154,f324,f491]) ).

fof(f154,plain,
    ( ~ hskp26
    | c3_1(a470) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f489,plain,
    ( ~ spl0_8
    | spl0_69 ),
    inference(avatar_split_clause,[],[f69,f486,f212]) ).

fof(f69,plain,
    ( c3_1(a502)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f484,plain,
    ( ~ spl0_68
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f130,f271,f481]) ).

fof(f130,plain,
    ( ~ hskp2
    | ~ c2_1(a465) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f474,plain,
    ( ~ spl0_5
    | spl0_22
    | spl0_66
    | spl0_55 ),
    inference(avatar_split_clause,[],[f42,f422,f471,f271,f199]) ).

fof(f42,plain,
    ! [X62] :
      ( c1_1(X62)
      | hskp18
      | ~ c0_1(X62)
      | hskp2
      | ~ ndr1_0
      | c3_1(X62) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f460,plain,
    ( ~ spl0_54
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f72,f457,f417]) ).

fof(f72,plain,
    ( ~ c2_1(a488)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f455,plain,
    ( ~ spl0_52
    | spl0_62 ),
    inference(avatar_split_clause,[],[f86,f452,f407]) ).

fof(f86,plain,
    ( c2_1(a478)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f450,plain,
    ( spl0_12
    | ~ spl0_5
    | spl0_60
    | spl0_61 ),
    inference(avatar_split_clause,[],[f23,f448,f445,f199,f230]) ).

fof(f23,plain,
    ! [X41,X42] :
      ( ~ c3_1(X42)
      | c2_1(X41)
      | ~ ndr1_0
      | hskp3
      | ~ c0_1(X41)
      | ~ c0_1(X42)
      | c3_1(X41)
      | ~ c1_1(X42) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f441,plain,
    ( ~ spl0_58
    | spl0_59 ),
    inference(avatar_split_clause,[],[f169,f438,f434]) ).

fof(f169,plain,
    ( c2_1(a483)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f427,plain,
    ( spl0_11
    | spl0_55
    | ~ spl0_5
    | spl0_56 ),
    inference(avatar_split_clause,[],[f7,f425,f199,f422,f225]) ).

fof(f7,plain,
    ! [X78,X79] :
      ( c0_1(X78)
      | c1_1(X78)
      | ~ ndr1_0
      | c3_1(X79)
      | c2_1(X78)
      | ~ c0_1(X79)
      | hskp25
      | c1_1(X79) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f420,plain,
    ( spl0_54
    | spl0_4
    | ~ spl0_5
    | spl0_2 ),
    inference(avatar_split_clause,[],[f12,f188,f199,f196,f417]) ).

fof(f12,plain,
    ! [X17] :
      ( hskp12
      | ~ ndr1_0
      | ~ c2_1(X17)
      | c1_1(X17)
      | c3_1(X17)
      | hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f405,plain,
    ( spl0_26
    | ~ spl0_5
    | spl0_2
    | spl0_51 ),
    inference(avatar_split_clause,[],[f56,f403,f188,f199,f289]) ).

fof(f56,plain,
    ! [X45] :
      ( ~ c2_1(X45)
      | hskp12
      | c0_1(X45)
      | c3_1(X45)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f392,plain,
    ( ~ spl0_8
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f68,f389,f212]) ).

fof(f68,plain,
    ( ~ c0_1(a502)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f387,plain,
    ( ~ spl0_46
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f126,f384,f380]) ).

fof(f126,plain,
    ( ~ c1_1(a463)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f373,plain,
    ( ~ spl0_26
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f81,f370,f289]) ).

fof(f81,plain,
    ( ~ c3_1(a460)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f368,plain,
    ( ~ spl0_12
    | spl0_43 ),
    inference(avatar_split_clause,[],[f140,f365,f230]) ).

fof(f140,plain,
    ( c3_1(a466)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f363,plain,
    ( spl0_5
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f131,f188,f199]) ).

fof(f131,plain,
    ( ~ hskp12
    | ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f362,plain,
    ( spl0_20
    | ~ spl0_5
    | spl0_41
    | spl0_42 ),
    inference(avatar_split_clause,[],[f14,f360,f357,f199,f262]) ).

fof(f14,plain,
    ! [X26,X25] :
      ( c2_1(X26)
      | ~ c2_1(X25)
      | ~ ndr1_0
      | hskp9
      | c1_1(X26)
      | ~ c1_1(X25)
      | c0_1(X25)
      | ~ c0_1(X26) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f355,plain,
    ( ~ spl0_26
    | spl0_40 ),
    inference(avatar_split_clause,[],[f79,f352,f289]) ).

fof(f79,plain,
    ( c0_1(a460)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f341,plain,
    ( ~ spl0_37
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f133,f188,f338]) ).

fof(f133,plain,
    ( ~ hskp12
    | ~ c1_1(a480) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f336,plain,
    ( spl0_35
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f150,f333,f329]) ).

fof(f150,plain,
    ( ~ hskp5
    | c0_1(a468) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f305,plain,
    ( spl0_29
    | spl0_20
    | ~ spl0_5
    | spl0_3 ),
    inference(avatar_split_clause,[],[f54,f193,f199,f262,f303]) ).

fof(f54,plain,
    ! [X82,X83] :
      ( ~ c3_1(X83)
      | ~ ndr1_0
      | hskp9
      | c2_1(X82)
      | c0_1(X82)
      | ~ c3_1(X82)
      | ~ c2_1(X83)
      | c0_1(X83) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f292,plain,
    ( ~ spl0_5
    | spl0_25
    | spl0_26
    | spl0_14 ),
    inference(avatar_split_clause,[],[f17,f237,f289,f286,f199]) ).

fof(f17,plain,
    ! [X52,X53] :
      ( c3_1(X53)
      | hskp0
      | c1_1(X53)
      | c0_1(X53)
      | c3_1(X52)
      | c2_1(X52)
      | c0_1(X52)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f284,plain,
    ( spl0_5
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f77,f281,f199]) ).

fof(f77,plain,
    ( ~ hskp27
    | ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f279,plain,
    ( ~ spl0_20
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f164,f276,f262]) ).

fof(f164,plain,
    ( ~ c1_1(a476)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f274,plain,
    ( ~ spl0_21
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f128,f271,f267]) ).

fof(f128,plain,
    ( ~ hskp2
    | ~ c3_1(a465) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f265,plain,
    ( spl0_19
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f166,f262,f258]) ).

fof(f166,plain,
    ( ~ hskp9
    | c0_1(a476) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f256,plain,
    ( spl0_17
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f146,f253,f249]) ).

fof(f146,plain,
    ( ~ hskp8
    | c0_1(a475) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f228,plain,
    ( spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f137,f225,f221]) ).

fof(f137,plain,
    ( ~ hskp25
    | c3_1(a461) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f219,plain,
    ( spl0_8
    | spl0_9
    | spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f25,f199,f196,f216,f212]) ).

fof(f25,plain,
    ! [X0] :
      ( ~ ndr1_0
      | c1_1(X0)
      | hskp20
      | c3_1(X0)
      | hskp19
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f205,plain,
    ( spl0_3
    | spl0_4
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f53,f203,f199,f196,f193]) ).

fof(f53,plain,
    ! [X68,X66,X67] :
      ( ~ c1_1(X68)
      | ~ c0_1(X68)
      | ~ ndr1_0
      | ~ c2_1(X66)
      | c0_1(X67)
      | c2_1(X68)
      | ~ c3_1(X67)
      | c3_1(X66)
      | c1_1(X66)
      | ~ c2_1(X67) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f191,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f134,f188,f184]) ).

fof(f134,plain,
    ( ~ hskp12
    | ~ c0_1(a480) ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SYN448+1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 21:57:25 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.50  % (26580)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50  % (26580)Instruction limit reached!
% 0.18/0.50  % (26580)------------------------------
% 0.18/0.50  % (26580)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (26580)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (26580)Termination reason: Unknown
% 0.18/0.50  % (26580)Termination phase: Preprocessing 1
% 0.18/0.50  
% 0.18/0.50  % (26580)Memory used [KB]: 1023
% 0.18/0.50  % (26580)Time elapsed: 0.002 s
% 0.18/0.50  % (26580)Instructions burned: 2 (million)
% 0.18/0.50  % (26580)------------------------------
% 0.18/0.50  % (26580)------------------------------
% 0.18/0.50  % (26582)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.50  % (26572)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)
% 0.18/0.50  % (26586)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)
% 0.18/0.50  % (26579)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.51  % (26576)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51  % (26588)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.51  % (26595)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.51  % (26577)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)
% 0.18/0.51  % (26573)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.51  % (26579)Instruction limit reached!
% 0.18/0.51  % (26579)------------------------------
% 0.18/0.51  % (26579)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (26579)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (26579)Termination reason: Unknown
% 0.18/0.51  % (26579)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (26579)Memory used [KB]: 6012
% 0.18/0.51  % (26579)Time elapsed: 0.007 s
% 0.18/0.51  % (26579)Instructions burned: 7 (million)
% 0.18/0.51  % (26579)------------------------------
% 0.18/0.51  % (26579)------------------------------
% 0.18/0.52  Detected maximum model sizes of [29]
% 0.18/0.52  TRYING [1]
% 0.18/0.52  % (26574)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.52  TRYING [2]
% 0.18/0.52  % (26590)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.52  % (26583)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)
% 0.18/0.52  % (26587)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.52  TRYING [3]
% 0.18/0.52  % (26575)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52  % (26601)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)
% 0.18/0.52  % (26594)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)
% 0.18/0.52  % (26581)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52  % (26592)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)
% 0.18/0.53  % (26598)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)
% 0.18/0.53  % (26593)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.53  % (26600)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.53  % (26578)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)
% 0.18/0.53  % (26597)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.53  % (26596)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.53  % (26585)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.53  Detected maximum model sizes of [29]
% 0.18/0.53  TRYING [1]
% 0.18/0.53  TRYING [2]
% 0.18/0.53  % (26591)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.54  % (26589)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.54  % (26584)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.54  TRYING [4]
% 0.18/0.54  % (26599)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)
% 1.61/0.56  TRYING [3]
% 1.61/0.56  TRYING [4]
% 1.61/0.56  TRYING [5]
% 1.73/0.56  Detected maximum model sizes of [29]
% 1.73/0.56  TRYING [1]
% 1.73/0.57  TRYING [2]
% 1.73/0.57  TRYING [3]
% 1.73/0.58  % (26574)Instruction limit reached!
% 1.73/0.58  % (26574)------------------------------
% 1.73/0.58  % (26574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.58  % (26574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.58  % (26574)Termination reason: Unknown
% 1.73/0.58  % (26574)Termination phase: Saturation
% 1.73/0.58  
% 1.73/0.58  % (26574)Memory used [KB]: 1535
% 1.73/0.58  % (26574)Time elapsed: 0.173 s
% 1.73/0.58  % (26574)Instructions burned: 37 (million)
% 1.73/0.58  % (26574)------------------------------
% 1.73/0.58  % (26574)------------------------------
% 1.73/0.58  % (26583)First to succeed.
% 1.73/0.59  TRYING [5]
% 1.73/0.59  % (26578)Instruction limit reached!
% 1.73/0.59  % (26578)------------------------------
% 1.73/0.59  % (26578)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.59  % (26578)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.59  % (26578)Termination reason: Unknown
% 1.73/0.59  % (26578)Termination phase: Finite model building SAT solving
% 1.73/0.59  
% 1.73/0.59  % (26578)Memory used [KB]: 6268
% 1.73/0.59  % (26578)Time elapsed: 0.157 s
% 1.73/0.59  % (26578)Instructions burned: 52 (million)
% 1.73/0.59  % (26578)------------------------------
% 1.73/0.59  % (26578)------------------------------
% 1.73/0.59  TRYING [4]
% 1.73/0.59  % (26573)Refutation not found, incomplete strategy% (26573)------------------------------
% 1.73/0.59  % (26573)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.59  % (26573)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.59  % (26573)Termination reason: Refutation not found, incomplete strategy
% 1.73/0.59  
% 1.73/0.59  % (26573)Memory used [KB]: 6524
% 1.73/0.59  % (26573)Time elapsed: 0.191 s
% 1.73/0.59  % (26573)Instructions burned: 36 (million)
% 1.73/0.59  % (26573)------------------------------
% 1.73/0.59  % (26573)------------------------------
% 1.73/0.60  TRYING [5]
% 1.73/0.60  % (26577)Instruction limit reached!
% 1.73/0.60  % (26577)------------------------------
% 1.73/0.60  % (26577)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.60  % (26577)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.60  % (26577)Termination reason: Unknown
% 1.73/0.60  % (26577)Termination phase: Saturation
% 1.73/0.60  
% 1.73/0.60  % (26577)Memory used [KB]: 7036
% 1.73/0.60  % (26577)Time elapsed: 0.197 s
% 1.73/0.60  % (26577)Instructions burned: 49 (million)
% 1.73/0.60  % (26577)------------------------------
% 1.73/0.60  % (26577)------------------------------
% 1.73/0.60  % (26583)Refutation found. Thanks to Tanya!
% 1.73/0.60  % SZS status Theorem for theBenchmark
% 1.73/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.73/0.60  % (26583)------------------------------
% 1.73/0.60  % (26583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.60  % (26583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.60  % (26583)Termination reason: Refutation
% 1.73/0.60  
% 1.73/0.60  % (26583)Memory used [KB]: 7036
% 1.73/0.60  % (26583)Time elapsed: 0.181 s
% 1.73/0.60  % (26583)Instructions burned: 39 (million)
% 1.73/0.60  % (26583)------------------------------
% 1.73/0.60  % (26583)------------------------------
% 1.73/0.60  % (26571)Success in time 0.262 s
%------------------------------------------------------------------------------