TSTP Solution File: SYN469+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN469+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 : n008.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 19:38:16 EDT 2022

% Result   : Theorem 2.03s 0.61s
% Output   : Refutation 2.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  136
% Syntax   : Number of formulae    :  551 (   1 unt;   0 def)
%            Number of atoms       : 5745 (   0 equ)
%            Maximal formula atoms :  667 (  10 avg)
%            Number of connectives : 7639 (2445   ~;3533   |;1098   &)
%                                         ( 135 <=>; 428  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  105 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  170 ( 169 usr; 166 prp; 0-1 aty)
%            Number of functors    :   29 (  29 usr;  29 con; 0-0 aty)
%            Number of variables   :  768 ( 768   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1938,plain,
    $false,
    inference(avatar_sat_refutation,[],[f199,f211,f221,f232,f241,f250,f259,f270,f280,f289,f300,f321,f335,f340,f349,f358,f366,f371,f376,f385,f390,f399,f404,f427,f440,f450,f455,f466,f470,f480,f487,f492,f493,f509,f514,f519,f530,f535,f542,f554,f558,f559,f560,f561,f567,f572,f573,f584,f590,f593,f599,f609,f616,f622,f627,f632,f633,f638,f643,f648,f654,f658,f663,f668,f680,f686,f687,f692,f705,f710,f720,f725,f730,f736,f742,f744,f745,f750,f756,f757,f762,f763,f769,f779,f789,f790,f791,f796,f801,f806,f807,f818,f830,f835,f836,f841,f846,f852,f859,f867,f872,f878,f883,f890,f891,f896,f911,f921,f932,f942,f954,f965,f969,f976,f977,f1010,f1017,f1022,f1037,f1039,f1052,f1077,f1117,f1121,f1126,f1145,f1165,f1178,f1179,f1218,f1223,f1228,f1245,f1247,f1252,f1253,f1254,f1256,f1267,f1323,f1341,f1358,f1369,f1378,f1379,f1380,f1428,f1474,f1529,f1538,f1539,f1541,f1545,f1555,f1562,f1603,f1604,f1692,f1694,f1712,f1713,f1716,f1717,f1744,f1754,f1755,f1794,f1820,f1821,f1872,f1896,f1937]) ).

fof(f1937,plain,
    ( ~ spl0_132
    | spl0_34
    | ~ spl0_53
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1930,f489,f413,f328,f843]) ).

fof(f843,plain,
    ( spl0_132
  <=> c2_1(a451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f328,plain,
    ( spl0_34
  <=> c1_1(a451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f413,plain,
    ( spl0_53
  <=> ! [X70] :
        ( ~ c0_1(X70)
        | ~ c2_1(X70)
        | c1_1(X70) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f489,plain,
    ( spl0_70
  <=> c0_1(a451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1930,plain,
    ( c1_1(a451)
    | ~ c2_1(a451)
    | ~ spl0_53
    | ~ spl0_70 ),
    inference(resolution,[],[f414,f491]) ).

fof(f491,plain,
    ( c0_1(a451)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f414,plain,
    ( ! [X70] :
        ( ~ c0_1(X70)
        | ~ c2_1(X70)
        | c1_1(X70) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f1896,plain,
    ( spl0_34
    | ~ spl0_165
    | ~ spl0_29
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1889,f489,f306,f1264,f328]) ).

fof(f1264,plain,
    ( spl0_165
  <=> c3_1(a451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f306,plain,
    ( spl0_29
  <=> ! [X71] :
        ( ~ c3_1(X71)
        | ~ c0_1(X71)
        | c1_1(X71) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1889,plain,
    ( ~ c3_1(a451)
    | c1_1(a451)
    | ~ spl0_29
    | ~ spl0_70 ),
    inference(resolution,[],[f307,f491]) ).

fof(f307,plain,
    ( ! [X71] :
        ( ~ c0_1(X71)
        | ~ c3_1(X71)
        | c1_1(X71) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f1872,plain,
    ( ~ spl0_88
    | ~ spl0_48
    | ~ spl0_18
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1865,f1147,f261,f392,f596]) ).

fof(f596,plain,
    ( spl0_88
  <=> c2_1(a427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f392,plain,
    ( spl0_48
  <=> c1_1(a427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f261,plain,
    ( spl0_18
  <=> ! [X49] :
        ( ~ c3_1(X49)
        | ~ c1_1(X49)
        | ~ c2_1(X49) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1147,plain,
    ( spl0_160
  <=> c3_1(a427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1865,plain,
    ( ~ c1_1(a427)
    | ~ c2_1(a427)
    | ~ spl0_18
    | ~ spl0_160 ),
    inference(resolution,[],[f262,f1149]) ).

fof(f1149,plain,
    ( c3_1(a427)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1147]) ).

fof(f262,plain,
    ( ! [X49] :
        ( ~ c3_1(X49)
        | ~ c1_1(X49)
        | ~ c2_1(X49) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f1821,plain,
    ( ~ spl0_123
    | spl0_125
    | ~ spl0_8
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1785,f1526,f219,f803,f793]) ).

fof(f793,plain,
    ( spl0_123
  <=> c2_1(a428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f803,plain,
    ( spl0_125
  <=> c1_1(a428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f219,plain,
    ( spl0_8
  <=> ! [X91] :
        ( c1_1(X91)
        | ~ c3_1(X91)
        | ~ c2_1(X91) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1526,plain,
    ( spl0_172
  <=> c3_1(a428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f1785,plain,
    ( c1_1(a428)
    | ~ c2_1(a428)
    | ~ spl0_8
    | ~ spl0_172 ),
    inference(resolution,[],[f220,f1528]) ).

fof(f1528,plain,
    ( c3_1(a428)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1526]) ).

fof(f220,plain,
    ( ! [X91] :
        ( ~ c3_1(X91)
        | ~ c2_1(X91)
        | c1_1(X91) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f1820,plain,
    ( spl0_50
    | spl0_44
    | ~ spl0_11
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1819,f1366,f230,f373,f401]) ).

fof(f401,plain,
    ( spl0_50
  <=> c3_1(a434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f373,plain,
    ( spl0_44
  <=> c0_1(a434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f230,plain,
    ( spl0_11
  <=> ! [X20] :
        ( c0_1(X20)
        | ~ c2_1(X20)
        | c3_1(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f1366,plain,
    ( spl0_169
  <=> c2_1(a434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f1819,plain,
    ( c0_1(a434)
    | c3_1(a434)
    | ~ spl0_11
    | ~ spl0_169 ),
    inference(resolution,[],[f1368,f231]) ).

fof(f231,plain,
    ( ! [X20] :
        ( ~ c2_1(X20)
        | c3_1(X20)
        | c0_1(X20) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f1368,plain,
    ( c2_1(a434)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1366]) ).

fof(f1794,plain,
    ( ~ spl0_132
    | spl0_34
    | ~ spl0_8
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1791,f1264,f219,f328,f843]) ).

fof(f1791,plain,
    ( c1_1(a451)
    | ~ c2_1(a451)
    | ~ spl0_8
    | ~ spl0_165 ),
    inference(resolution,[],[f1265,f220]) ).

fof(f1265,plain,
    ( c3_1(a451)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1264]) ).

fof(f1755,plain,
    ( spl0_90
    | spl0_158
    | ~ spl0_11
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1638,f635,f230,f1123,f606]) ).

fof(f606,plain,
    ( spl0_90
  <=> c3_1(a400) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1123,plain,
    ( spl0_158
  <=> c0_1(a400) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f635,plain,
    ( spl0_95
  <=> c2_1(a400) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1638,plain,
    ( c0_1(a400)
    | c3_1(a400)
    | ~ spl0_11
    | ~ spl0_95 ),
    inference(resolution,[],[f231,f637]) ).

fof(f637,plain,
    ( c2_1(a400)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f1754,plain,
    ( spl0_100
    | spl0_93
    | ~ spl0_74
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1752,f1073,f511,f624,f665]) ).

fof(f665,plain,
    ( spl0_100
  <=> c1_1(a410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f624,plain,
    ( spl0_93
  <=> c3_1(a410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f511,plain,
    ( spl0_74
  <=> ! [X79] :
        ( ~ c2_1(X79)
        | c1_1(X79)
        | c3_1(X79) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1073,plain,
    ( spl0_157
  <=> c2_1(a410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1752,plain,
    ( c3_1(a410)
    | c1_1(a410)
    | ~ spl0_74
    | ~ spl0_157 ),
    inference(resolution,[],[f1074,f512]) ).

fof(f512,plain,
    ( ! [X79] :
        ( ~ c2_1(X79)
        | c1_1(X79)
        | c3_1(X79) )
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f1074,plain,
    ( c2_1(a410)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1073]) ).

fof(f1744,plain,
    ( spl0_165
    | spl0_34
    | ~ spl0_74
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1742,f843,f511,f328,f1264]) ).

fof(f1742,plain,
    ( c1_1(a451)
    | c3_1(a451)
    | ~ spl0_74
    | ~ spl0_132 ),
    inference(resolution,[],[f845,f512]) ).

fof(f845,plain,
    ( c2_1(a451)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f1717,plain,
    ( spl0_92
    | spl0_32
    | ~ spl0_42
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1417,f962,f364,f318,f619]) ).

fof(f619,plain,
    ( spl0_92
  <=> c3_1(a460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f318,plain,
    ( spl0_32
  <=> c2_1(a460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f364,plain,
    ( spl0_42
  <=> ! [X61] :
        ( c3_1(X61)
        | c2_1(X61)
        | ~ c0_1(X61) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f962,plain,
    ( spl0_151
  <=> c0_1(a460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1417,plain,
    ( c2_1(a460)
    | c3_1(a460)
    | ~ spl0_42
    | ~ spl0_151 ),
    inference(resolution,[],[f365,f964]) ).

fof(f964,plain,
    ( c0_1(a460)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f962]) ).

fof(f365,plain,
    ( ! [X61] :
        ( ~ c0_1(X61)
        | c3_1(X61)
        | c2_1(X61) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f1716,plain,
    ( spl0_131
    | spl0_125
    | ~ spl0_80
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1652,f793,f540,f803,f838]) ).

fof(f838,plain,
    ( spl0_131
  <=> c0_1(a428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f540,plain,
    ( spl0_80
  <=> ! [X17] :
        ( c0_1(X17)
        | ~ c2_1(X17)
        | c1_1(X17) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1652,plain,
    ( c1_1(a428)
    | c0_1(a428)
    | ~ spl0_80
    | ~ spl0_123 ),
    inference(resolution,[],[f541,f795]) ).

fof(f795,plain,
    ( c2_1(a428)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f541,plain,
    ( ! [X17] :
        ( ~ c2_1(X17)
        | c1_1(X17)
        | c0_1(X17) )
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f1713,plain,
    ( ~ spl0_107
    | ~ spl0_110
    | ~ spl0_103
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1710,f918,f678,f717,f702]) ).

fof(f702,plain,
    ( spl0_107
  <=> c2_1(a412) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f717,plain,
    ( spl0_110
  <=> c1_1(a412) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f678,plain,
    ( spl0_103
  <=> ! [X82] :
        ( ~ c2_1(X82)
        | ~ c0_1(X82)
        | ~ c1_1(X82) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f918,plain,
    ( spl0_145
  <=> c0_1(a412) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1710,plain,
    ( ~ c1_1(a412)
    | ~ c2_1(a412)
    | ~ spl0_103
    | ~ spl0_145 ),
    inference(resolution,[],[f679,f920]) ).

fof(f920,plain,
    ( c0_1(a412)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f679,plain,
    ( ! [X82] :
        ( ~ c0_1(X82)
        | ~ c2_1(X82)
        | ~ c1_1(X82) )
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f1712,plain,
    ( ~ spl0_95
    | ~ spl0_99
    | ~ spl0_103
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1697,f1123,f678,f660,f635]) ).

fof(f660,plain,
    ( spl0_99
  <=> c1_1(a400) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1697,plain,
    ( ~ c1_1(a400)
    | ~ c2_1(a400)
    | ~ spl0_103
    | ~ spl0_158 ),
    inference(resolution,[],[f679,f1125]) ).

fof(f1125,plain,
    ( c0_1(a400)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1123]) ).

fof(f1694,plain,
    ( spl0_2
    | ~ spl0_127
    | ~ spl0_67
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1682,f675,f477,f815,f196]) ).

fof(f196,plain,
    ( spl0_2
  <=> c2_1(a426) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f815,plain,
    ( spl0_127
  <=> c1_1(a426) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f477,plain,
    ( spl0_67
  <=> c0_1(a426) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f675,plain,
    ( spl0_102
  <=> ! [X81] :
        ( ~ c1_1(X81)
        | ~ c0_1(X81)
        | c2_1(X81) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1682,plain,
    ( ~ c1_1(a426)
    | c2_1(a426)
    | ~ spl0_67
    | ~ spl0_102 ),
    inference(resolution,[],[f676,f479]) ).

fof(f479,plain,
    ( c0_1(a426)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f676,plain,
    ( ! [X81] :
        ( ~ c0_1(X81)
        | c2_1(X81)
        | ~ c1_1(X81) )
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f1692,plain,
    ( ~ spl0_149
    | spl0_117
    | ~ spl0_102
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1677,f707,f675,f759,f945]) ).

fof(f945,plain,
    ( spl0_149
  <=> c1_1(a404) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f759,plain,
    ( spl0_117
  <=> c2_1(a404) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f707,plain,
    ( spl0_108
  <=> c0_1(a404) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1677,plain,
    ( c2_1(a404)
    | ~ c1_1(a404)
    | ~ spl0_102
    | ~ spl0_108 ),
    inference(resolution,[],[f676,f709]) ).

fof(f709,plain,
    ( c0_1(a404)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f1604,plain,
    ( spl0_131
    | ~ spl0_123
    | ~ spl0_56
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1600,f1526,f425,f793,f838]) ).

fof(f425,plain,
    ( spl0_56
  <=> ! [X65] :
        ( ~ c2_1(X65)
        | ~ c3_1(X65)
        | c0_1(X65) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1600,plain,
    ( ~ c2_1(a428)
    | c0_1(a428)
    | ~ spl0_56
    | ~ spl0_172 ),
    inference(resolution,[],[f1528,f426]) ).

fof(f426,plain,
    ( ! [X65] :
        ( ~ c3_1(X65)
        | c0_1(X65)
        | ~ c2_1(X65) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f1603,plain,
    ( spl0_125
    | spl0_131
    | ~ spl0_27
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1602,f1526,f298,f838,f803]) ).

fof(f298,plain,
    ( spl0_27
  <=> ! [X36] :
        ( c1_1(X36)
        | c0_1(X36)
        | ~ c3_1(X36) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1602,plain,
    ( c0_1(a428)
    | c1_1(a428)
    | ~ spl0_27
    | ~ spl0_172 ),
    inference(resolution,[],[f1528,f299]) ).

fof(f299,plain,
    ( ! [X36] :
        ( ~ c3_1(X36)
        | c0_1(X36)
        | c1_1(X36) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f1562,plain,
    ( ~ spl0_98
    | spl0_134
    | ~ spl0_21
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1557,f468,f273,f856,f651]) ).

fof(f651,plain,
    ( spl0_98
  <=> c1_1(a445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f856,plain,
    ( spl0_134
  <=> c0_1(a445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f273,plain,
    ( spl0_21
  <=> c3_1(a445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f468,plain,
    ( spl0_65
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1557,plain,
    ( c0_1(a445)
    | ~ c1_1(a445)
    | ~ spl0_21
    | ~ spl0_65 ),
    inference(resolution,[],[f275,f469]) ).

fof(f469,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f275,plain,
    ( c3_1(a445)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f1555,plain,
    ( spl0_82
    | spl0_116
    | ~ spl0_79
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1546,f640,f537,f753,f551]) ).

fof(f551,plain,
    ( spl0_82
  <=> c1_1(a402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f753,plain,
    ( spl0_116
  <=> c2_1(a402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f537,plain,
    ( spl0_79
  <=> ! [X19] :
        ( c1_1(X19)
        | c2_1(X19)
        | ~ c0_1(X19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f640,plain,
    ( spl0_96
  <=> c0_1(a402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1546,plain,
    ( c2_1(a402)
    | c1_1(a402)
    | ~ spl0_79
    | ~ spl0_96 ),
    inference(resolution,[],[f538,f642]) ).

fof(f642,plain,
    ( c0_1(a402)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f538,plain,
    ( ! [X19] :
        ( ~ c0_1(X19)
        | c2_1(X19)
        | c1_1(X19) )
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f1545,plain,
    ( spl0_2
    | ~ spl0_154
    | ~ spl0_67
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1534,f517,f477,f1007,f196]) ).

fof(f1007,plain,
    ( spl0_154
  <=> c3_1(a426) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f517,plain,
    ( spl0_75
  <=> ! [X5] :
        ( ~ c0_1(X5)
        | ~ c3_1(X5)
        | c2_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1534,plain,
    ( ~ c3_1(a426)
    | c2_1(a426)
    | ~ spl0_67
    | ~ spl0_75 ),
    inference(resolution,[],[f518,f479]) ).

fof(f518,plain,
    ( ! [X5] :
        ( ~ c0_1(X5)
        | ~ c3_1(X5)
        | c2_1(X5) )
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f1541,plain,
    ( spl0_117
    | ~ spl0_77
    | ~ spl0_75
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1531,f707,f517,f527,f759]) ).

fof(f527,plain,
    ( spl0_77
  <=> c3_1(a404) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1531,plain,
    ( ~ c3_1(a404)
    | c2_1(a404)
    | ~ spl0_75
    | ~ spl0_108 ),
    inference(resolution,[],[f518,f709]) ).

fof(f1539,plain,
    ( spl0_97
    | ~ spl0_115
    | ~ spl0_75
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1535,f1019,f517,f747,f645]) ).

fof(f645,plain,
    ( spl0_97
  <=> c2_1(a449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f747,plain,
    ( spl0_115
  <=> c3_1(a449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1019,plain,
    ( spl0_155
  <=> c0_1(a449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1535,plain,
    ( ~ c3_1(a449)
    | c2_1(a449)
    | ~ spl0_75
    | ~ spl0_155 ),
    inference(resolution,[],[f518,f1021]) ).

fof(f1021,plain,
    ( c0_1(a449)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1019]) ).

fof(f1538,plain,
    ( ~ spl0_150
    | spl0_116
    | ~ spl0_75
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1530,f640,f517,f753,f951]) ).

fof(f951,plain,
    ( spl0_150
  <=> c3_1(a402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1530,plain,
    ( c2_1(a402)
    | ~ c3_1(a402)
    | ~ spl0_75
    | ~ spl0_96 ),
    inference(resolution,[],[f518,f642]) ).

fof(f1529,plain,
    ( spl0_172
    | spl0_125
    | ~ spl0_74
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1508,f793,f511,f803,f1526]) ).

fof(f1508,plain,
    ( c1_1(a428)
    | c3_1(a428)
    | ~ spl0_74
    | ~ spl0_123 ),
    inference(resolution,[],[f512,f795]) ).

fof(f1474,plain,
    ( spl0_143
    | spl0_147
    | ~ spl0_58
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1455,f569,f434,f929,f908]) ).

fof(f908,plain,
    ( spl0_143
  <=> c2_1(a403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f929,plain,
    ( spl0_147
  <=> c3_1(a403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f434,plain,
    ( spl0_58
  <=> ! [X60] :
        ( c3_1(X60)
        | c2_1(X60)
        | c0_1(X60) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f569,plain,
    ( spl0_84
  <=> c0_1(a403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1455,plain,
    ( c3_1(a403)
    | c2_1(a403)
    | ~ spl0_58
    | spl0_84 ),
    inference(resolution,[],[f435,f571]) ).

fof(f571,plain,
    ( ~ c0_1(a403)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f435,plain,
    ( ! [X60] :
        ( c0_1(X60)
        | c2_1(X60)
        | c3_1(X60) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f1428,plain,
    ( spl0_73
    | spl0_120
    | ~ spl0_46
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1421,f722,f383,f776,f506]) ).

fof(f506,plain,
    ( spl0_73
  <=> c2_1(a418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f776,plain,
    ( spl0_120
  <=> c0_1(a418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f383,plain,
    ( spl0_46
  <=> ! [X106] :
        ( ~ c1_1(X106)
        | c0_1(X106)
        | c2_1(X106) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f722,plain,
    ( spl0_111
  <=> c1_1(a418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1421,plain,
    ( c0_1(a418)
    | c2_1(a418)
    | ~ spl0_46
    | ~ spl0_111 ),
    inference(resolution,[],[f384,f724]) ).

fof(f724,plain,
    ( c1_1(a418)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f384,plain,
    ( ! [X106] :
        ( ~ c1_1(X106)
        | c2_1(X106)
        | c0_1(X106) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f1380,plain,
    ( spl0_130
    | ~ spl0_170
    | ~ spl0_55
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1373,f827,f422,f1375,f832]) ).

fof(f832,plain,
    ( spl0_130
  <=> c3_1(a430) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1375,plain,
    ( spl0_170
  <=> c1_1(a430) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f422,plain,
    ( spl0_55
  <=> ! [X64] :
        ( c3_1(X64)
        | ~ c1_1(X64)
        | ~ c0_1(X64) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f827,plain,
    ( spl0_129
  <=> c0_1(a430) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1373,plain,
    ( ~ c1_1(a430)
    | c3_1(a430)
    | ~ spl0_55
    | ~ spl0_129 ),
    inference(resolution,[],[f829,f423]) ).

fof(f423,plain,
    ( ! [X64] :
        ( ~ c0_1(X64)
        | ~ c1_1(X64)
        | c3_1(X64) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f829,plain,
    ( c0_1(a430)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f1379,plain,
    ( ~ spl0_86
    | spl0_130
    | ~ spl0_6
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1371,f827,f213,f832,f581]) ).

fof(f581,plain,
    ( spl0_86
  <=> c2_1(a430) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f213,plain,
    ( spl0_6
  <=> ! [X92] :
        ( ~ c2_1(X92)
        | ~ c0_1(X92)
        | c3_1(X92) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f1371,plain,
    ( c3_1(a430)
    | ~ c2_1(a430)
    | ~ spl0_6
    | ~ spl0_129 ),
    inference(resolution,[],[f829,f214]) ).

fof(f214,plain,
    ( ! [X92] :
        ( ~ c0_1(X92)
        | c3_1(X92)
        | ~ c2_1(X92) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f1378,plain,
    ( spl0_170
    | spl0_130
    | ~ spl0_20
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1370,f827,f268,f832,f1375]) ).

fof(f268,plain,
    ( spl0_20
  <=> ! [X48] :
        ( c3_1(X48)
        | ~ c0_1(X48)
        | c1_1(X48) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f1370,plain,
    ( c3_1(a430)
    | c1_1(a430)
    | ~ spl0_20
    | ~ spl0_129 ),
    inference(resolution,[],[f829,f269]) ).

fof(f269,plain,
    ( ! [X48] :
        ( ~ c0_1(X48)
        | c1_1(X48)
        | c3_1(X48) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f1369,plain,
    ( spl0_169
    | spl0_50
    | ~ spl0_24
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f1364,f295,f286,f401,f1366]) ).

fof(f286,plain,
    ( spl0_24
  <=> c1_1(a434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f295,plain,
    ( spl0_26
  <=> ! [X35] :
        ( c3_1(X35)
        | c2_1(X35)
        | ~ c1_1(X35) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1364,plain,
    ( c3_1(a434)
    | c2_1(a434)
    | ~ spl0_24
    | ~ spl0_26 ),
    inference(resolution,[],[f288,f296]) ).

fof(f296,plain,
    ( ! [X35] :
        ( ~ c1_1(X35)
        | c2_1(X35)
        | c3_1(X35) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f288,plain,
    ( c1_1(a434)
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f1358,plain,
    ( spl0_147
    | spl0_143
    | ~ spl0_26
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1345,f1225,f295,f908,f929]) ).

fof(f1225,plain,
    ( spl0_163
  <=> c1_1(a403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f1345,plain,
    ( c2_1(a403)
    | c3_1(a403)
    | ~ spl0_26
    | ~ spl0_163 ),
    inference(resolution,[],[f296,f1227]) ).

fof(f1227,plain,
    ( c1_1(a403)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1225]) ).

fof(f1341,plain,
    ( spl0_34
    | spl0_165
    | ~ spl0_20
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1339,f489,f268,f1264,f328]) ).

fof(f1339,plain,
    ( c3_1(a451)
    | c1_1(a451)
    | ~ spl0_20
    | ~ spl0_70 ),
    inference(resolution,[],[f269,f491]) ).

fof(f1323,plain,
    ( ~ spl0_162
    | spl0_105
    | ~ spl0_8
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1318,f786,f219,f689,f1220]) ).

fof(f1220,plain,
    ( spl0_162
  <=> c2_1(a416) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f689,plain,
    ( spl0_105
  <=> c1_1(a416) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f786,plain,
    ( spl0_122
  <=> c3_1(a416) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1318,plain,
    ( c1_1(a416)
    | ~ c2_1(a416)
    | ~ spl0_8
    | ~ spl0_122 ),
    inference(resolution,[],[f220,f788]) ).

fof(f788,plain,
    ( c3_1(a416)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f786]) ).

fof(f1267,plain,
    ( ~ spl0_165
    | ~ spl0_132
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1261,f489,f485,f843,f1264]) ).

fof(f485,plain,
    ( spl0_69
  <=> ! [X98] :
        ( ~ c2_1(X98)
        | ~ c3_1(X98)
        | ~ c0_1(X98) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1261,plain,
    ( ~ c2_1(a451)
    | ~ c3_1(a451)
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(resolution,[],[f491,f486]) ).

fof(f486,plain,
    ( ! [X98] :
        ( ~ c0_1(X98)
        | ~ c3_1(X98)
        | ~ c2_1(X98) )
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f1256,plain,
    ( ~ spl0_110
    | spl0_159
    | ~ spl0_55
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1138,f918,f422,f1132,f717]) ).

fof(f1132,plain,
    ( spl0_159
  <=> c3_1(a412) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f1138,plain,
    ( c3_1(a412)
    | ~ c1_1(a412)
    | ~ spl0_55
    | ~ spl0_145 ),
    inference(resolution,[],[f920,f423]) ).

fof(f1254,plain,
    ( spl0_159
    | ~ spl0_107
    | ~ spl0_6
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1171,f918,f213,f702,f1132]) ).

fof(f1171,plain,
    ( ~ c2_1(a412)
    | c3_1(a412)
    | ~ spl0_6
    | ~ spl0_145 ),
    inference(resolution,[],[f214,f920]) ).

fof(f1253,plain,
    ( spl0_150
    | spl0_116
    | ~ spl0_42
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1078,f640,f364,f753,f951]) ).

fof(f1078,plain,
    ( c2_1(a402)
    | c3_1(a402)
    | ~ spl0_42
    | ~ spl0_96 ),
    inference(resolution,[],[f365,f642]) ).

fof(f1252,plain,
    ( spl0_93
    | spl0_157
    | ~ spl0_42
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1079,f733,f364,f1073,f624]) ).

fof(f733,plain,
    ( spl0_113
  <=> c0_1(a410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1079,plain,
    ( c2_1(a410)
    | c3_1(a410)
    | ~ spl0_42
    | ~ spl0_113 ),
    inference(resolution,[],[f365,f735]) ).

fof(f735,plain,
    ( c0_1(a410)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f1247,plain,
    ( ~ spl0_107
    | ~ spl0_159
    | ~ spl0_69
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1243,f918,f485,f1132,f702]) ).

fof(f1243,plain,
    ( ~ c3_1(a412)
    | ~ c2_1(a412)
    | ~ spl0_69
    | ~ spl0_145 ),
    inference(resolution,[],[f486,f920]) ).

fof(f1245,plain,
    ( ~ spl0_16
    | ~ spl0_104
    | ~ spl0_69
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1244,f869,f485,f683,f252]) ).

fof(f252,plain,
    ( spl0_16
  <=> c3_1(a414) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f683,plain,
    ( spl0_104
  <=> c2_1(a414) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f869,plain,
    ( spl0_136
  <=> c0_1(a414) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1244,plain,
    ( ~ c2_1(a414)
    | ~ c3_1(a414)
    | ~ spl0_69
    | ~ spl0_136 ),
    inference(resolution,[],[f486,f871]) ).

fof(f871,plain,
    ( c0_1(a414)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f869]) ).

fof(f1228,plain,
    ( spl0_163
    | spl0_143
    | ~ spl0_68
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1208,f569,f482,f908,f1225]) ).

fof(f482,plain,
    ( spl0_68
  <=> ! [X100] :
        ( c0_1(X100)
        | c2_1(X100)
        | c1_1(X100) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1208,plain,
    ( c2_1(a403)
    | c1_1(a403)
    | ~ spl0_68
    | spl0_84 ),
    inference(resolution,[],[f483,f571]) ).

fof(f483,plain,
    ( ! [X100] :
        ( c0_1(X100)
        | c1_1(X100)
        | c2_1(X100) )
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f1223,plain,
    ( spl0_162
    | spl0_105
    | spl0_64
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1210,f482,f463,f689,f1220]) ).

fof(f463,plain,
    ( spl0_64
  <=> c0_1(a416) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1210,plain,
    ( c1_1(a416)
    | c2_1(a416)
    | spl0_64
    | ~ spl0_68 ),
    inference(resolution,[],[f483,f465]) ).

fof(f465,plain,
    ( ~ c0_1(a416)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f1218,plain,
    ( spl0_43
    | spl0_112
    | spl0_13
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1211,f482,f238,f727,f368]) ).

fof(f368,plain,
    ( spl0_43
  <=> c1_1(a420) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f727,plain,
    ( spl0_112
  <=> c2_1(a420) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f238,plain,
    ( spl0_13
  <=> c0_1(a420) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1211,plain,
    ( c2_1(a420)
    | c1_1(a420)
    | spl0_13
    | ~ spl0_68 ),
    inference(resolution,[],[f483,f240]) ).

fof(f240,plain,
    ( ~ c0_1(a420)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f1179,plain,
    ( spl0_91
    | spl0_15
    | ~ spl0_11
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1173,f880,f230,f247,f613]) ).

fof(f613,plain,
    ( spl0_91
  <=> c3_1(a409) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f247,plain,
    ( spl0_15
  <=> c0_1(a409) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f880,plain,
    ( spl0_138
  <=> c2_1(a409) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1173,plain,
    ( c0_1(a409)
    | c3_1(a409)
    | ~ spl0_11
    | ~ spl0_138 ),
    inference(resolution,[],[f231,f882]) ).

fof(f882,plain,
    ( c2_1(a409)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f1178,plain,
    ( spl0_124
    | spl0_160
    | ~ spl0_11
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1175,f596,f230,f1147,f798]) ).

fof(f798,plain,
    ( spl0_124
  <=> c0_1(a427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1175,plain,
    ( c3_1(a427)
    | c0_1(a427)
    | ~ spl0_11
    | ~ spl0_88 ),
    inference(resolution,[],[f231,f598]) ).

fof(f598,plain,
    ( c2_1(a427)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f1165,plain,
    ( ~ spl0_88
    | spl0_124
    | ~ spl0_56
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1161,f1147,f425,f798,f596]) ).

fof(f1161,plain,
    ( c0_1(a427)
    | ~ c2_1(a427)
    | ~ spl0_56
    | ~ spl0_160 ),
    inference(resolution,[],[f1149,f426]) ).

fof(f1145,plain,
    ( ~ spl0_48
    | spl0_124
    | ~ spl0_7
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1143,f596,f216,f798,f392]) ).

fof(f216,plain,
    ( spl0_7
  <=> ! [X93] :
        ( c0_1(X93)
        | ~ c1_1(X93)
        | ~ c2_1(X93) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1143,plain,
    ( c0_1(a427)
    | ~ c1_1(a427)
    | ~ spl0_7
    | ~ spl0_88 ),
    inference(resolution,[],[f598,f217]) ).

fof(f217,plain,
    ( ! [X93] :
        ( ~ c2_1(X93)
        | c0_1(X93)
        | ~ c1_1(X93) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f1126,plain,
    ( ~ spl0_99
    | spl0_158
    | ~ spl0_7
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1119,f635,f216,f1123,f660]) ).

fof(f1119,plain,
    ( c0_1(a400)
    | ~ c1_1(a400)
    | ~ spl0_7
    | ~ spl0_95 ),
    inference(resolution,[],[f637,f217]) ).

fof(f1121,plain,
    ( ~ spl0_99
    | spl0_90
    | ~ spl0_4
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1120,f635,f205,f606,f660]) ).

fof(f205,plain,
    ( spl0_4
  <=> ! [X31] :
        ( c3_1(X31)
        | ~ c2_1(X31)
        | ~ c1_1(X31) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1120,plain,
    ( c3_1(a400)
    | ~ c1_1(a400)
    | ~ spl0_4
    | ~ spl0_95 ),
    inference(resolution,[],[f637,f206]) ).

fof(f206,plain,
    ( ! [X31] :
        ( ~ c2_1(X31)
        | ~ c1_1(X31)
        | c3_1(X31) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f1117,plain,
    ( spl0_26
    | ~ spl0_55
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f1115,f434,f422,f295]) ).

fof(f1115,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c3_1(X2) )
    | ~ spl0_55
    | ~ spl0_58 ),
    inference(duplicate_literal_removal,[],[f1104]) ).

fof(f1104,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c3_1(X2)
        | c2_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_55
    | ~ spl0_58 ),
    inference(resolution,[],[f435,f423]) ).

fof(f1077,plain,
    ( spl0_47
    | ~ spl0_140
    | ~ spl0_8
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1069,f351,f219,f893,f387]) ).

fof(f387,plain,
    ( spl0_47
  <=> c1_1(a415) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f893,plain,
    ( spl0_140
  <=> c2_1(a415) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f351,plain,
    ( spl0_39
  <=> c3_1(a415) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1069,plain,
    ( ~ c2_1(a415)
    | c1_1(a415)
    | ~ spl0_8
    | ~ spl0_39 ),
    inference(resolution,[],[f220,f353]) ).

fof(f353,plain,
    ( c3_1(a415)
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f1052,plain,
    ( spl0_93
    | spl0_100
    | ~ spl0_20
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1046,f733,f268,f665,f624]) ).

fof(f1046,plain,
    ( c1_1(a410)
    | c3_1(a410)
    | ~ spl0_20
    | ~ spl0_113 ),
    inference(resolution,[],[f269,f735]) ).

fof(f1039,plain,
    ( spl0_94
    | ~ spl0_133
    | ~ spl0_55
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1038,f887,f422,f849,f629]) ).

fof(f629,plain,
    ( spl0_94
  <=> c3_1(a401) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f849,plain,
    ( spl0_133
  <=> c1_1(a401) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f887,plain,
    ( spl0_139
  <=> c0_1(a401) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1038,plain,
    ( ~ c1_1(a401)
    | c3_1(a401)
    | ~ spl0_55
    | ~ spl0_139 ),
    inference(resolution,[],[f889,f423]) ).

fof(f889,plain,
    ( c0_1(a401)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f1037,plain,
    ( ~ spl0_127
    | spl0_2
    | ~ spl0_10
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1036,f1007,f227,f196,f815]) ).

fof(f227,plain,
    ( spl0_10
  <=> ! [X21] :
        ( c2_1(X21)
        | ~ c3_1(X21)
        | ~ c1_1(X21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1036,plain,
    ( c2_1(a426)
    | ~ c1_1(a426)
    | ~ spl0_10
    | ~ spl0_154 ),
    inference(resolution,[],[f1009,f228]) ).

fof(f228,plain,
    ( ! [X21] :
        ( ~ c3_1(X21)
        | ~ c1_1(X21)
        | c2_1(X21) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f1009,plain,
    ( c3_1(a426)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f1007]) ).

fof(f1022,plain,
    ( spl0_155
    | spl0_97
    | ~ spl0_52
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1014,f747,f410,f645,f1019]) ).

fof(f410,plain,
    ( spl0_52
  <=> ! [X69] :
        ( c2_1(X69)
        | ~ c3_1(X69)
        | c0_1(X69) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1014,plain,
    ( c2_1(a449)
    | c0_1(a449)
    | ~ spl0_52
    | ~ spl0_115 ),
    inference(resolution,[],[f749,f411]) ).

fof(f411,plain,
    ( ! [X69] :
        ( ~ c3_1(X69)
        | c2_1(X69)
        | c0_1(X69) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f749,plain,
    ( c3_1(a449)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f1017,plain,
    ( ~ spl0_37
    | spl0_97
    | ~ spl0_10
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1016,f747,f227,f645,f342]) ).

fof(f342,plain,
    ( spl0_37
  <=> c1_1(a449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1016,plain,
    ( c2_1(a449)
    | ~ c1_1(a449)
    | ~ spl0_10
    | ~ spl0_115 ),
    inference(resolution,[],[f749,f228]) ).

fof(f1010,plain,
    ( spl0_154
    | ~ spl0_127
    | ~ spl0_55
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1005,f477,f422,f815,f1007]) ).

fof(f1005,plain,
    ( ~ c1_1(a426)
    | c3_1(a426)
    | ~ spl0_55
    | ~ spl0_67 ),
    inference(resolution,[],[f479,f423]) ).

fof(f977,plain,
    ( spl0_117
    | spl0_149
    | ~ spl0_51
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f974,f527,f406,f945,f759]) ).

fof(f406,plain,
    ( spl0_51
  <=> ! [X94] :
        ( ~ c3_1(X94)
        | c2_1(X94)
        | c1_1(X94) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f974,plain,
    ( c1_1(a404)
    | c2_1(a404)
    | ~ spl0_51
    | ~ spl0_77 ),
    inference(resolution,[],[f407,f529]) ).

fof(f529,plain,
    ( c3_1(a404)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f407,plain,
    ( ! [X94] :
        ( ~ c3_1(X94)
        | c2_1(X94)
        | c1_1(X94) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f976,plain,
    ( spl0_116
    | spl0_82
    | ~ spl0_51
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f975,f951,f406,f551,f753]) ).

fof(f975,plain,
    ( c1_1(a402)
    | c2_1(a402)
    | ~ spl0_51
    | ~ spl0_150 ),
    inference(resolution,[],[f407,f953]) ).

fof(f953,plain,
    ( c3_1(a402)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f969,plain,
    ( spl0_64
    | spl0_105
    | ~ spl0_27
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f967,f786,f298,f689,f463]) ).

fof(f967,plain,
    ( c1_1(a416)
    | c0_1(a416)
    | ~ spl0_27
    | ~ spl0_122 ),
    inference(resolution,[],[f788,f299]) ).

fof(f965,plain,
    ( spl0_32
    | spl0_151
    | ~ spl0_46
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f959,f447,f383,f962,f318]) ).

fof(f447,plain,
    ( spl0_61
  <=> c1_1(a460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f959,plain,
    ( c0_1(a460)
    | c2_1(a460)
    | ~ spl0_46
    | ~ spl0_61 ),
    inference(resolution,[],[f384,f449]) ).

fof(f449,plain,
    ( c1_1(a460)
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f954,plain,
    ( spl0_150
    | spl0_82
    | ~ spl0_20
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f949,f640,f268,f551,f951]) ).

fof(f949,plain,
    ( c1_1(a402)
    | c3_1(a402)
    | ~ spl0_20
    | ~ spl0_96 ),
    inference(resolution,[],[f642,f269]) ).

fof(f942,plain,
    ( spl0_32
    | spl0_92
    | ~ spl0_26
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f939,f447,f295,f619,f318]) ).

fof(f939,plain,
    ( c3_1(a460)
    | c2_1(a460)
    | ~ spl0_26
    | ~ spl0_61 ),
    inference(resolution,[],[f296,f449]) ).

fof(f932,plain,
    ( ~ spl0_30
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f144,f929,f309]) ).

fof(f309,plain,
    ( spl0_30
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f144,plain,
    ( ~ c3_1(a403)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( ( ~ c2_1(a477)
        & c3_1(a477)
        & ~ c0_1(a477)
        & ndr1_0 )
      | ~ hskp24 )
    & ( hskp3
      | hskp5
      | ! [X68] :
          ( c0_1(X68)
          | ~ c3_1(X68)
          | c2_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X6] :
          ( ~ ndr1_0
          | c0_1(X6)
          | ~ c1_1(X6)
          | ~ c2_1(X6) )
      | hskp15 )
    & ( ! [X26] :
          ( c1_1(X26)
          | ~ ndr1_0
          | c3_1(X26)
          | ~ c0_1(X26) )
      | hskp1
      | hskp12 )
    & ( ! [X72] :
          ( c1_1(X72)
          | ~ ndr1_0
          | c2_1(X72)
          | ~ c0_1(X72) )
      | ! [X73] :
          ( c3_1(X73)
          | ~ ndr1_0
          | ~ c2_1(X73)
          | c0_1(X73) )
      | hskp9 )
    & ( ( c3_1(a405)
        & ndr1_0
        & c0_1(a405)
        & c1_1(a405) )
      | ~ hskp25 )
    & ( ! [X32] :
          ( c3_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0
          | c1_1(X32) )
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c3_1(X33)
          | ~ c2_1(X33)
          | ~ c0_1(X33) )
      | hskp19 )
    & ( ( ~ c0_1(a445)
        & c1_1(a445)
        & c3_1(a445)
        & ndr1_0 )
      | ~ hskp19 )
    & ( hskp3
      | hskp16
      | ! [X88] :
          ( ~ ndr1_0
          | c0_1(X88)
          | ~ c3_1(X88)
          | ~ c1_1(X88) ) )
    & ( hskp24
      | hskp19
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c1_1(X102)
          | ~ c2_1(X102)
          | ~ c0_1(X102) ) )
    & ( ~ hskp7
      | ( ~ c1_1(a410)
        & ndr1_0
        & ~ c3_1(a410)
        & c0_1(a410) ) )
    & ( ! [X35] :
          ( ~ c1_1(X35)
          | ~ ndr1_0
          | c2_1(X35)
          | c3_1(X35) )
      | ! [X36] :
          ( ~ c3_1(X36)
          | c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X52] :
          ( ~ ndr1_0
          | c2_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52) )
      | ! [X53] :
          ( c1_1(X53)
          | c2_1(X53)
          | ~ ndr1_0
          | ~ c3_1(X53) )
      | hskp28 )
    & ( ! [X90] :
          ( ~ ndr1_0
          | c1_1(X90)
          | c0_1(X90)
          | ~ c3_1(X90) )
      | hskp6
      | ! [X89] :
          ( c0_1(X89)
          | ~ ndr1_0
          | ~ c2_1(X89)
          | c3_1(X89) ) )
    & ( ( ndr1_0
        & ~ c3_1(a439)
        & ~ c2_1(a439)
        & ~ c1_1(a439) )
      | ~ hskp17 )
    & ( hskp18
      | hskp20
      | hskp23 )
    & ( hskp4
      | ! [X43] :
          ( c1_1(X43)
          | ~ ndr1_0
          | ~ c2_1(X43)
          | c0_1(X43) )
      | ! [X42] :
          ( ~ ndr1_0
          | c2_1(X42)
          | c0_1(X42)
          | ~ c3_1(X42) ) )
    & ( ( c3_1(a414)
        & c0_1(a414)
        & c2_1(a414)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ndr1_0
        & ~ c0_1(a427)
        & c1_1(a427)
        & c2_1(a427) )
      | ~ hskp13 )
    & ( ! [X23] :
          ( c0_1(X23)
          | ~ ndr1_0
          | ~ c2_1(X23)
          | ~ c3_1(X23) )
      | ! [X22] :
          ( c2_1(X22)
          | c1_1(X22)
          | c0_1(X22)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ~ hskp26
      | ( ndr1_0
        & c2_1(a407)
        & c3_1(a407)
        & c1_1(a407) ) )
    & ( hskp8
      | hskp9
      | ! [X106] :
          ( c0_1(X106)
          | ~ ndr1_0
          | c2_1(X106)
          | ~ c1_1(X106) ) )
    & ( hskp20
      | ! [X34] :
          ( ~ ndr1_0
          | c3_1(X34)
          | ~ c0_1(X34)
          | ~ c1_1(X34) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c3_1(a460)
        & c1_1(a460)
        & ~ c2_1(a460) ) )
    & ( ! [X59] :
          ( c0_1(X59)
          | c1_1(X59)
          | ~ ndr1_0
          | ~ c3_1(X59) )
      | ! [X58] :
          ( ~ c0_1(X58)
          | ~ ndr1_0
          | ~ c1_1(X58)
          | c3_1(X58) )
      | hskp4 )
    & ( ! [X51] :
          ( c0_1(X51)
          | c2_1(X51)
          | ~ ndr1_0
          | ~ c3_1(X51) )
      | hskp11
      | hskp0 )
    & ( hskp18
      | hskp3
      | ! [X94] :
          ( ~ c3_1(X94)
          | ~ ndr1_0
          | c1_1(X94)
          | c2_1(X94) ) )
    & ( ( ~ c2_1(a426)
        & c1_1(a426)
        & c0_1(a426)
        & ndr1_0 )
      | ~ hskp12 )
    & ( hskp26
      | hskp5
      | ! [X78] :
          ( ~ ndr1_0
          | c0_1(X78)
          | ~ c2_1(X78)
          | c1_1(X78) ) )
    & ( ! [X69] :
          ( c2_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0
          | c0_1(X69) )
      | ! [X70] :
          ( ~ c0_1(X70)
          | ~ ndr1_0
          | c1_1(X70)
          | ~ c2_1(X70) )
      | hskp4 )
    & ( ( c2_1(a412)
        & c1_1(a412)
        & ndr1_0
        & c0_1(a412) )
      | ~ hskp27 )
    & ( ! [X2] :
          ( ~ ndr1_0
          | ~ c3_1(X2)
          | ~ c1_1(X2)
          | c0_1(X2) )
      | ! [X3] :
          ( c1_1(X3)
          | ~ c3_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( ( ~ c3_1(a409)
        & ndr1_0
        & c2_1(a409)
        & ~ c0_1(a409) )
      | ~ hskp6 )
    & ( hskp13
      | hskp2
      | ! [X103] :
          ( c2_1(X103)
          | ~ ndr1_0
          | ~ c1_1(X103)
          | ~ c3_1(X103) ) )
    & ( hskp27
      | hskp23
      | ! [X56] :
          ( ~ c0_1(X56)
          | ~ c1_1(X56)
          | c2_1(X56)
          | ~ ndr1_0 ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c3_1(a415)
        & ~ c1_1(a415)
        & c2_1(a415) ) )
    & ( ! [X99] :
          ( c3_1(X99)
          | ~ c0_1(X99)
          | ~ c1_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c2_1(X100)
          | c1_1(X100)
          | ~ ndr1_0
          | c0_1(X100) )
      | ! [X98] :
          ( ~ c2_1(X98)
          | ~ c3_1(X98)
          | ~ c0_1(X98)
          | ~ ndr1_0 ) )
    & ( ~ hskp14
      | ( ~ c1_1(a428)
        & c2_1(a428)
        & ndr1_0
        & ~ c0_1(a428) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c3_1(a401)
        & c1_1(a401)
        & c0_1(a401) ) )
    & ( ! [X11] :
          ( ~ c0_1(X11)
          | c3_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | hskp5
      | hskp20 )
    & ( hskp12
      | hskp10
      | ! [X31] :
          ( c3_1(X31)
          | ~ c2_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp7
      | ! [X30] :
          ( c2_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0
          | c3_1(X30) ) )
    & ( ! [X8] :
          ( ~ c0_1(X8)
          | ~ ndr1_0
          | ~ c3_1(X8)
          | ~ c2_1(X8) )
      | hskp3
      | ! [X9] :
          ( ~ c0_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0
          | c1_1(X9) ) )
    & ( ! [X46] :
          ( c0_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0
          | c3_1(X46) )
      | hskp1
      | ! [X47] :
          ( c0_1(X47)
          | ~ c3_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 ) )
    & ( ( ~ c0_1(a420)
        & ~ c1_1(a420)
        & ndr1_0
        & ~ c2_1(a420) )
      | ~ hskp11 )
    & ( ( c1_1(a434)
        & ~ c0_1(a434)
        & ndr1_0
        & ~ c3_1(a434) )
      | ~ hskp16 )
    & ( ~ hskp21
      | ( ~ c1_1(a450)
        & ~ c0_1(a450)
        & ndr1_0
        & ~ c3_1(a450) ) )
    & ( hskp1
      | ! [X101] :
          ( c0_1(X101)
          | ~ ndr1_0
          | c2_1(X101)
          | c1_1(X101) )
      | hskp2 )
    & ( ! [X79] :
          ( ~ ndr1_0
          | c3_1(X79)
          | ~ c2_1(X79)
          | c1_1(X79) )
      | ! [X80] :
          ( c3_1(X80)
          | ~ c2_1(X80)
          | ~ ndr1_0
          | c0_1(X80) )
      | hskp12 )
    & ( hskp3
      | hskp4
      | ! [X71] :
          ( ~ c0_1(X71)
          | c1_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X1] :
          ( ~ c1_1(X1)
          | ~ ndr1_0
          | c2_1(X1)
          | ~ c3_1(X1) )
      | hskp10
      | ! [X0] :
          ( ~ c3_1(X0)
          | c2_1(X0)
          | c0_1(X0)
          | ~ ndr1_0 ) )
    & ( ! [X67] :
          ( c3_1(X67)
          | c0_1(X67)
          | ~ c2_1(X67)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ ndr1_0
          | c2_1(X66)
          | ~ c1_1(X66)
          | c3_1(X66) )
      | hskp13 )
    & ( ( ndr1_0
        & ~ c0_1(a403)
        & ~ c3_1(a403)
        & ~ c2_1(a403) )
      | ~ hskp3 )
    & ( hskp9
      | ! [X10] :
          ( c0_1(X10)
          | ~ c1_1(X10)
          | ~ ndr1_0
          | ~ c3_1(X10) )
      | hskp27 )
    & ( ! [X49] :
          ( ~ c2_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0
          | ~ c1_1(X49) )
      | ! [X48] :
          ( c1_1(X48)
          | ~ c0_1(X48)
          | ~ ndr1_0
          | c3_1(X48) )
      | hskp9 )
    & ( ! [X75] :
          ( ~ c2_1(X75)
          | c1_1(X75)
          | ~ ndr1_0
          | ~ c0_1(X75) )
      | ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | ~ ndr1_0
          | ~ c3_1(X74) )
      | hskp4 )
    & ( ! [X18] :
          ( ~ ndr1_0
          | ~ c0_1(X18)
          | c1_1(X18)
          | ~ c3_1(X18) )
      | ! [X17] :
          ( c0_1(X17)
          | ~ ndr1_0
          | c1_1(X17)
          | ~ c2_1(X17) )
      | ! [X19] :
          ( ~ ndr1_0
          | c2_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19) ) )
    & ( hskp1
      | ! [X63] :
          ( c1_1(X63)
          | ~ ndr1_0
          | ~ c0_1(X63)
          | c3_1(X63) )
      | ! [X62] :
          ( ~ c1_1(X62)
          | ~ ndr1_0
          | c0_1(X62)
          | ~ c2_1(X62) ) )
    & ( ! [X14] :
          ( ~ c0_1(X14)
          | c3_1(X14)
          | ~ ndr1_0
          | c2_1(X14) )
      | ! [X13] :
          ( ~ ndr1_0
          | c1_1(X13)
          | c2_1(X13)
          | ~ c3_1(X13) )
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ ndr1_0
          | ~ c2_1(X12)
          | c1_1(X12) ) )
    & ( hskp5
      | ! [X7] :
          ( c3_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0
          | ~ c1_1(X7) )
      | hskp4 )
    & ( hskp27
      | hskp0
      | ! [X60] :
          ( c0_1(X60)
          | ~ ndr1_0
          | c2_1(X60)
          | c3_1(X60) ) )
    & ( ! [X15] :
          ( ~ ndr1_0
          | c1_1(X15)
          | c3_1(X15)
          | ~ c0_1(X15) )
      | hskp9
      | ! [X16] :
          ( c0_1(X16)
          | ~ ndr1_0
          | ~ c1_1(X16)
          | c3_1(X16) ) )
    & ( ( c1_1(a400)
        & c2_1(a400)
        & ndr1_0
        & ~ c3_1(a400) )
      | ~ hskp0 )
    & ( ! [X24] :
          ( ~ ndr1_0
          | ~ c1_1(X24)
          | c2_1(X24)
          | c3_1(X24) )
      | hskp20
      | ! [X25] :
          ( ~ c0_1(X25)
          | ~ ndr1_0
          | ~ c3_1(X25)
          | ~ c2_1(X25) ) )
    & ( hskp9
      | hskp4
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c2_1(X45)
          | ~ c3_1(X45)
          | ~ c0_1(X45) ) )
    & ( hskp11
      | hskp22
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c0_1(X84)
          | ~ c2_1(X84)
          | ~ c3_1(X84) ) )
    & ( ( c3_1(a449)
        & ndr1_0
        & ~ c2_1(a449)
        & c1_1(a449) )
      | ~ hskp20 )
    & ( ! [X104] :
          ( ~ ndr1_0
          | ~ c3_1(X104)
          | ~ c1_1(X104)
          | c2_1(X104) )
      | ! [X105] :
          ( c2_1(X105)
          | ~ c0_1(X105)
          | ~ ndr1_0
          | c3_1(X105) )
      | hskp22 )
    & ( hskp8
      | hskp17
      | hskp3 )
    & ( ! [X55] :
          ( ~ ndr1_0
          | ~ c0_1(X55)
          | c3_1(X55)
          | ~ c1_1(X55) )
      | ! [X54] :
          ( c1_1(X54)
          | ~ ndr1_0
          | ~ c2_1(X54)
          | c3_1(X54) ) )
    & ( ! [X4] :
          ( ~ ndr1_0
          | ~ c3_1(X4)
          | c2_1(X4)
          | c1_1(X4) )
      | hskp17
      | hskp2 )
    & ( ! [X41] :
          ( c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0
          | ~ c1_1(X41) )
      | hskp28
      | hskp25 )
    & ( hskp14
      | ! [X21] :
          ( ~ c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0
          | c2_1(X21) )
      | ! [X20] :
          ( ~ c2_1(X20)
          | c3_1(X20)
          | ~ ndr1_0
          | c0_1(X20) ) )
    & ( ~ hskp15
      | ( c2_1(a430)
        & ~ c3_1(a430)
        & c0_1(a430)
        & ndr1_0 ) )
    & ( ! [X95] :
          ( c0_1(X95)
          | ~ c3_1(X95)
          | ~ ndr1_0
          | c1_1(X95) )
      | ! [X97] :
          ( ~ c2_1(X97)
          | ~ ndr1_0
          | c1_1(X97)
          | c3_1(X97) )
      | ! [X96] :
          ( c3_1(X96)
          | ~ ndr1_0
          | c1_1(X96)
          | c0_1(X96) ) )
    & ( hskp11
      | ! [X65] :
          ( c0_1(X65)
          | ~ ndr1_0
          | ~ c3_1(X65)
          | ~ c2_1(X65) )
      | ! [X64] :
          ( ~ c1_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0
          | c3_1(X64) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c2_1(a440)
        & c0_1(a440)
        & ~ c3_1(a440) ) )
    & ( ! [X92] :
          ( ~ c0_1(X92)
          | c3_1(X92)
          | ~ ndr1_0
          | ~ c2_1(X92) )
      | ! [X93] :
          ( ~ c2_1(X93)
          | ~ ndr1_0
          | ~ c1_1(X93)
          | c0_1(X93) )
      | ! [X91] :
          ( ~ ndr1_0
          | c1_1(X91)
          | ~ c3_1(X91)
          | ~ c2_1(X91) ) )
    & ( ! [X87] :
          ( c2_1(X87)
          | c0_1(X87)
          | ~ c1_1(X87)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c3_1(X86)
          | c1_1(X86)
          | c2_1(X86) )
      | ! [X85] :
          ( c0_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0
          | ~ c3_1(X85) ) )
    & ( hskp3
      | hskp25
      | ! [X40] :
          ( c0_1(X40)
          | ~ c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c0_1(X50)
          | ~ ndr1_0
          | c1_1(X50) )
      | hskp20 )
    & ( ~ hskp4
      | ( ~ c2_1(a404)
        & c0_1(a404)
        & ndr1_0
        & c3_1(a404) ) )
    & ( ( ~ c1_1(a451)
        & ndr1_0
        & c2_1(a451)
        & c0_1(a451) )
      | ~ hskp22 )
    & ( ( c3_1(a408)
        & ndr1_0
        & c2_1(a408)
        & ~ c0_1(a408) )
      | ~ hskp5 )
    & ( ( c1_1(a418)
        & ~ c2_1(a418)
        & ndr1_0
        & ~ c0_1(a418) )
      | ~ hskp10 )
    & ( ! [X27] :
          ( ~ c3_1(X27)
          | ~ ndr1_0
          | c0_1(X27)
          | c1_1(X27) )
      | ! [X29] :
          ( c2_1(X29)
          | ~ ndr1_0
          | c1_1(X29)
          | ~ c3_1(X29) )
      | ! [X28] :
          ( c0_1(X28)
          | ~ ndr1_0
          | c3_1(X28)
          | ~ c2_1(X28) ) )
    & ( ! [X57] :
          ( ~ ndr1_0
          | c2_1(X57)
          | ~ c0_1(X57)
          | ~ c3_1(X57) )
      | hskp12
      | hskp9 )
    & ( hskp28
      | ! [X44] :
          ( ~ c1_1(X44)
          | c3_1(X44)
          | ~ ndr1_0
          | c2_1(X44) )
      | hskp4 )
    & ( hskp7
      | ! [X5] :
          ( ~ c0_1(X5)
          | ~ ndr1_0
          | c2_1(X5)
          | ~ c3_1(X5) )
      | hskp16 )
    & ( ~ hskp9
      | ( ~ c0_1(a416)
        & ~ c1_1(a416)
        & ndr1_0
        & c3_1(a416) ) )
    & ( ! [X76] :
          ( c3_1(X76)
          | ~ ndr1_0
          | c1_1(X76)
          | c0_1(X76) )
      | ! [X77] :
          ( c3_1(X77)
          | ~ c2_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | hskp3 )
    & ( hskp7
      | hskp3
      | hskp15 )
    & ( hskp2
      | hskp11
      | ! [X61] :
          ( ~ ndr1_0
          | c3_1(X61)
          | c2_1(X61)
          | ~ c0_1(X61) ) )
    & ( ~ hskp2
      | ( ~ c2_1(a402)
        & c0_1(a402)
        & ~ c1_1(a402)
        & ndr1_0 ) )
    & ( hskp21
      | hskp25
      | hskp24 )
    & ( ! [X82] :
          ( ~ c1_1(X82)
          | ~ c2_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c0_1(X83)
          | c1_1(X83)
          | c2_1(X83)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c2_1(X81)
          | ~ c1_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X38] :
          ( c0_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0
          | c1_1(X38) )
      | ! [X39] :
          ( c0_1(X39)
          | ~ ndr1_0
          | c2_1(X39)
          | c3_1(X39) )
      | ! [X37] :
          ( c2_1(X37)
          | ~ ndr1_0
          | c3_1(X37)
          | ~ c1_1(X37) ) ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( ~ hskp23
      | ( ndr1_0
        & ~ c3_1(a460)
        & c1_1(a460)
        & ~ c2_1(a460) ) )
    & ( hskp0
      | ! [X51] :
          ( c0_1(X51)
          | c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | hskp11 )
    & ( hskp9
      | ! [X73] :
          ( c3_1(X73)
          | ~ c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c0_1(X72)
          | c2_1(X72)
          | c1_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp3
      | hskp15 )
    & ( ~ hskp9
      | ( ~ c0_1(a416)
        & ~ c1_1(a416)
        & ndr1_0
        & c3_1(a416) ) )
    & ( ! [X47] :
          ( c0_1(X47)
          | ~ c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | hskp1
      | ! [X46] :
          ( c3_1(X46)
          | c0_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X41] :
          ( c2_1(X41)
          | ~ c3_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ( c2_1(a412)
        & c1_1(a412)
        & ndr1_0
        & c0_1(a412) )
      | ~ hskp27 )
    & ( ! [X70] :
          ( ~ c2_1(X70)
          | c1_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c0_1(X69)
          | c2_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X82] :
          ( ~ c2_1(X82)
          | ~ c0_1(X82)
          | ~ c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c1_1(X83)
          | c2_1(X83)
          | ~ c0_1(X83)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c2_1(X81)
          | ~ c1_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( ~ c2_1(X91)
          | ~ c3_1(X91)
          | c1_1(X91)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c1_1(X93)
          | c0_1(X93)
          | ~ c2_1(X93)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c2_1(X92)
          | c3_1(X92)
          | ~ c0_1(X92)
          | ~ ndr1_0 ) )
    & ( ! [X50] :
          ( c1_1(X50)
          | ~ c0_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | hskp21
      | hskp20 )
    & ( ! [X13] :
          ( c1_1(X13)
          | c2_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c0_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c1_1(X12)
          | ~ c2_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c3_1(a439)
        & ~ c2_1(a439)
        & ~ c1_1(a439) )
      | ~ hskp17 )
    & ( ( c3_1(a449)
        & ndr1_0
        & ~ c2_1(a449)
        & c1_1(a449) )
      | ~ hskp20 )
    & ( hskp0
      | ! [X60] :
          ( c3_1(X60)
          | c2_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 )
      | hskp27 )
    & ( hskp2
      | hskp1
      | ! [X101] :
          ( c2_1(X101)
          | c0_1(X101)
          | c1_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X87] :
          ( c0_1(X87)
          | c2_1(X87)
          | ~ c1_1(X87)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c3_1(X85)
          | c0_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c1_1(X86)
          | c2_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X32] :
          ( ~ c2_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c3_1(X33)
          | ~ c2_1(X33)
          | ~ c0_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [X43] :
          ( c1_1(X43)
          | ~ c2_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 )
      | hskp4
      | ! [X42] :
          ( c2_1(X42)
          | ~ c3_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X88] :
          ( ~ c1_1(X88)
          | ~ c3_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 )
      | hskp3 )
    & ( hskp7
      | ! [X30] :
          ( c2_1(X30)
          | c3_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ( ~ c2_1(a477)
        & c3_1(a477)
        & ~ c0_1(a477)
        & ndr1_0 )
      | ~ hskp24 )
    & ( hskp7
      | ! [X35] :
          ( ~ c1_1(X35)
          | c3_1(X35)
          | c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c1_1(X36)
          | c0_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X5] :
          ( ~ c0_1(X5)
          | ~ c3_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ~ hskp4
      | ( ~ c2_1(a404)
        & c0_1(a404)
        & ndr1_0
        & c3_1(a404) ) )
    & ( ! [X48] :
          ( c1_1(X48)
          | c3_1(X48)
          | ~ c0_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c2_1(X49)
          | ~ c3_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0 )
      | hskp9 )
    & ( hskp13
      | ! [X66] :
          ( ~ c1_1(X66)
          | c3_1(X66)
          | c2_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c0_1(X67)
          | ~ c2_1(X67)
          | c3_1(X67)
          | ~ ndr1_0 ) )
    & ( ! [X63] :
          ( c1_1(X63)
          | c3_1(X63)
          | ~ c0_1(X63)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 )
      | hskp1 )
    & ( hskp14
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c1_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c3_1(X20)
          | ~ c2_1(X20)
          | c0_1(X20)
          | ~ ndr1_0 ) )
    & ( ! [X90] :
          ( ~ c3_1(X90)
          | c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 )
      | hskp6
      | ! [X89] :
          ( ~ c2_1(X89)
          | c3_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( ~ c3_1(X23)
          | c0_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X10] :
          ( ~ c1_1(X10)
          | ~ c3_1(X10)
          | c0_1(X10)
          | ~ ndr1_0 )
      | hskp9
      | hskp27 )
    & ( ~ hskp21
      | ( ~ c1_1(a450)
        & ~ c0_1(a450)
        & ndr1_0
        & ~ c3_1(a450) ) )
    & ( hskp5
      | hskp4
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( ~ hskp14
      | ( ~ c1_1(a428)
        & c2_1(a428)
        & ndr1_0
        & ~ c0_1(a428) ) )
    & ( ( ndr1_0
        & ~ c0_1(a403)
        & ~ c3_1(a403)
        & ~ c2_1(a403) )
      | ~ hskp3 )
    & ( hskp10
      | hskp12
      | ! [X31] :
          ( ~ c2_1(X31)
          | c3_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 ) )
    & ( ! [X39] :
          ( c2_1(X39)
          | c0_1(X39)
          | c3_1(X39)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c3_1(X37)
          | ~ c1_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c0_1(X38)
          | c1_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp20
      | hskp23 )
    & ( ! [X95] :
          ( c1_1(X95)
          | c0_1(X95)
          | ~ c3_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( c0_1(X96)
          | c3_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c1_1(X97)
          | c3_1(X97)
          | ~ c2_1(X97)
          | ~ ndr1_0 ) )
    & ( ! [X71] :
          ( c1_1(X71)
          | ~ c3_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ( ~ c1_1(a451)
        & ndr1_0
        & c2_1(a451)
        & c0_1(a451) )
      | ~ hskp22 )
    & ( ! [X102] :
          ( ~ c2_1(X102)
          | ~ c1_1(X102)
          | ~ c0_1(X102)
          | ~ ndr1_0 )
      | hskp19
      | hskp24 )
    & ( ( ndr1_0
        & ~ c0_1(a427)
        & c1_1(a427)
        & c2_1(a427) )
      | ~ hskp13 )
    & ( ! [X106] :
          ( c2_1(X106)
          | ~ c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 )
      | hskp8
      | hskp9 )
    & ( hskp13
      | hskp2
      | ! [X103] :
          ( c2_1(X103)
          | ~ c3_1(X103)
          | ~ c1_1(X103)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X56] :
          ( ~ c1_1(X56)
          | c2_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | ~ c0_1(X45)
          | ~ ndr1_0 )
      | hskp4
      | hskp9 )
    & ( hskp20
      | hskp5
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp3
      | ! [X68] :
          ( ~ c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( ( ~ c0_1(a445)
        & c1_1(a445)
        & c3_1(a445)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ! [X0] :
          ( ~ c3_1(X0)
          | c2_1(X0)
          | c0_1(X0)
          | ~ ndr1_0 )
      | hskp10
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c1_1(X1)
          | c2_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X57] :
          ( ~ c0_1(X57)
          | ~ c3_1(X57)
          | c2_1(X57)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X98] :
          ( ~ c2_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( c3_1(X99)
          | ~ c0_1(X99)
          | ~ c1_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c1_1(X100)
          | c0_1(X100)
          | c2_1(X100)
          | ~ ndr1_0 ) )
    & ( ( ~ c0_1(a420)
        & ~ c1_1(a420)
        & ndr1_0
        & ~ c2_1(a420) )
      | ~ hskp11 )
    & ( hskp5
      | hskp26
      | ! [X78] :
          ( c0_1(X78)
          | c1_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0 ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c3_1(a401)
        & c1_1(a401)
        & c0_1(a401) ) )
    & ( ! [X59] :
          ( ~ c3_1(X59)
          | c0_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c0_1(X58)
          | ~ c1_1(X58)
          | c3_1(X58)
          | ~ ndr1_0 )
      | hskp4 )
    & ( hskp22
      | ! [X104] :
          ( c2_1(X104)
          | ~ c1_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( c2_1(X105)
          | c3_1(X105)
          | ~ c0_1(X105)
          | ~ ndr1_0 ) )
    & ( ~ hskp15
      | ( c2_1(a430)
        & ~ c3_1(a430)
        & c0_1(a430)
        & ndr1_0 ) )
    & ( ( c1_1(a434)
        & ~ c0_1(a434)
        & ndr1_0
        & ~ c3_1(a434) )
      | ~ hskp16 )
    & ( hskp3
      | ! [X9] :
          ( c1_1(X9)
          | ~ c2_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c0_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a408)
        & ndr1_0
        & c2_1(a408)
        & ~ c0_1(a408) )
      | ~ hskp5 )
    & ( ( ~ c2_1(a426)
        & c1_1(a426)
        & c0_1(a426)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ~ hskp2
      | ( ~ c2_1(a402)
        & c0_1(a402)
        & ~ c1_1(a402)
        & ndr1_0 ) )
    & ( ! [X25] :
          ( ~ c3_1(X25)
          | ~ c2_1(X25)
          | ~ c0_1(X25)
          | ~ ndr1_0 )
      | hskp20
      | ! [X24] :
          ( ~ c1_1(X24)
          | c2_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( c1_1(X74)
          | ~ c3_1(X74)
          | c2_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c2_1(X75)
          | ~ c0_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ~ hskp8
      | ( ndr1_0
        & c3_1(a415)
        & ~ c1_1(a415)
        & c2_1(a415) ) )
    & ( ! [X15] :
          ( c3_1(X15)
          | ~ c0_1(X15)
          | c1_1(X15)
          | ~ ndr1_0 )
      | hskp9
      | ! [X16] :
          ( ~ c1_1(X16)
          | c0_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( c3_1(X28)
          | c0_1(X28)
          | ~ c2_1(X28)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c1_1(X27)
          | c0_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c2_1(X29)
          | ~ c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X94] :
          ( ~ c3_1(X94)
          | c2_1(X94)
          | c1_1(X94)
          | ~ ndr1_0 )
      | hskp18
      | hskp3 )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c2_1(a440)
        & c0_1(a440)
        & ~ c3_1(a440) ) )
    & ( ! [X18] :
          ( ~ c3_1(X18)
          | c1_1(X18)
          | ~ c0_1(X18)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c2_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp1
      | ! [X26] :
          ( c3_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp25
      | hskp24 )
    & ( hskp28
      | ! [X44] :
          ( c3_1(X44)
          | ~ c1_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X52] :
          ( c2_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c2_1(X53)
          | c1_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | hskp28 )
    & ( hskp8
      | hskp17
      | hskp3 )
    & ( hskp6
      | ! [X6] :
          ( c0_1(X6)
          | ~ c1_1(X6)
          | ~ c2_1(X6)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ~ hskp7
      | ( ~ c1_1(a410)
        & ndr1_0
        & ~ c3_1(a410)
        & c0_1(a410) ) )
    & ( ! [X55] :
          ( ~ c0_1(X55)
          | c3_1(X55)
          | ~ c1_1(X55)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c2_1(X54)
          | c1_1(X54)
          | c3_1(X54)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a418)
        & ~ c2_1(a418)
        & ndr1_0
        & ~ c0_1(a418) )
      | ~ hskp10 )
    & ( hskp3
      | hskp25
      | ! [X40] :
          ( c1_1(X40)
          | c0_1(X40)
          | ~ c2_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( c3_1(X77)
          | ~ c1_1(X77)
          | ~ c2_1(X77)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c0_1(X76)
          | c3_1(X76)
          | c1_1(X76)
          | ~ ndr1_0 )
      | hskp3 )
    & ( hskp11
      | ! [X61] :
          ( c3_1(X61)
          | c2_1(X61)
          | ~ c0_1(X61)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X79] :
          ( c3_1(X79)
          | ~ c2_1(X79)
          | c1_1(X79)
          | ~ ndr1_0 )
      | hskp12
      | ! [X80] :
          ( ~ c2_1(X80)
          | c3_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c2_1(a407)
        & c3_1(a407)
        & c1_1(a407) ) )
    & ( ! [X84] :
          ( ~ c2_1(X84)
          | ~ c3_1(X84)
          | ~ c0_1(X84)
          | ~ ndr1_0 )
      | hskp22
      | hskp11 )
    & ( ( c1_1(a400)
        & c2_1(a400)
        & ndr1_0
        & ~ c3_1(a400) )
      | ~ hskp0 )
    & ( ( ~ c3_1(a409)
        & ndr1_0
        & c2_1(a409)
        & ~ c0_1(a409) )
      | ~ hskp6 )
    & ( ( c3_1(a405)
        & ndr1_0
        & c0_1(a405)
        & c1_1(a405) )
      | ~ hskp25 )
    & ( ! [X2] :
          ( c0_1(X2)
          | ~ c1_1(X2)
          | ~ c3_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c0_1(X3)
          | c1_1(X3)
          | ~ ndr1_0 ) )
    & ( ! [X34] :
          ( c3_1(X34)
          | ~ c1_1(X34)
          | ~ c0_1(X34)
          | ~ ndr1_0 )
      | hskp20 )
    & ( hskp11
      | ! [X65] :
          ( c0_1(X65)
          | ~ c3_1(X65)
          | ~ c2_1(X65)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c0_1(X64)
          | c3_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a414)
        & c0_1(a414)
        & c2_1(a414)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ! [X4] :
          ( c1_1(X4)
          | ~ c3_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 )
      | hskp17
      | hskp2 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( ~ hskp23
      | ( ndr1_0
        & ~ c3_1(a460)
        & c1_1(a460)
        & ~ c2_1(a460) ) )
    & ( hskp0
      | ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | c2_1(X51)
            | ~ c3_1(X51) ) )
      | hskp11 )
    & ( hskp9
      | ! [X73] :
          ( ndr1_0
         => ( c3_1(X73)
            | ~ c2_1(X73)
            | c0_1(X73) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c0_1(X72)
            | c2_1(X72)
            | c1_1(X72) ) ) )
    & ( hskp7
      | hskp3
      | hskp15 )
    & ( ~ hskp9
      | ( ~ c0_1(a416)
        & ~ c1_1(a416)
        & ndr1_0
        & c3_1(a416) ) )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | ~ c2_1(X47)
            | ~ c3_1(X47) ) )
      | hskp1
      | ! [X46] :
          ( ndr1_0
         => ( c3_1(X46)
            | c0_1(X46)
            | ~ c2_1(X46) ) ) )
    & ( hskp25
      | ! [X41] :
          ( ndr1_0
         => ( c2_1(X41)
            | ~ c3_1(X41)
            | ~ c1_1(X41) ) )
      | hskp28 )
    & ( ( c2_1(a412)
        & c1_1(a412)
        & ndr1_0
        & c0_1(a412) )
      | ~ hskp27 )
    & ( ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | c1_1(X70)
            | ~ c0_1(X70) ) )
      | ! [X69] :
          ( ndr1_0
         => ( c0_1(X69)
            | c2_1(X69)
            | ~ c3_1(X69) ) )
      | hskp4 )
    & ( ! [X82] :
          ( ndr1_0
         => ( ~ c2_1(X82)
            | ~ c0_1(X82)
            | ~ c1_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( c1_1(X83)
            | c2_1(X83)
            | ~ c0_1(X83) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c2_1(X81)
            | ~ c1_1(X81)
            | ~ c0_1(X81) ) ) )
    & ( ! [X91] :
          ( ndr1_0
         => ( ~ c2_1(X91)
            | ~ c3_1(X91)
            | c1_1(X91) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c1_1(X93)
            | c0_1(X93)
            | ~ c2_1(X93) ) )
      | ! [X92] :
          ( ndr1_0
         => ( ~ c2_1(X92)
            | c3_1(X92)
            | ~ c0_1(X92) ) ) )
    & ( ! [X50] :
          ( ndr1_0
         => ( c1_1(X50)
            | ~ c0_1(X50)
            | ~ c3_1(X50) ) )
      | hskp21
      | hskp20 )
    & ( ! [X13] :
          ( ndr1_0
         => ( c1_1(X13)
            | c2_1(X13)
            | ~ c3_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c0_1(X14)
            | c3_1(X14)
            | c2_1(X14) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c1_1(X12)
            | ~ c2_1(X12)
            | ~ c3_1(X12) ) ) )
    & ( ( ndr1_0
        & ~ c3_1(a439)
        & ~ c2_1(a439)
        & ~ c1_1(a439) )
      | ~ hskp17 )
    & ( ( c3_1(a449)
        & ndr1_0
        & ~ c2_1(a449)
        & c1_1(a449) )
      | ~ hskp20 )
    & ( hskp0
      | ! [X60] :
          ( ndr1_0
         => ( c3_1(X60)
            | c2_1(X60)
            | c0_1(X60) ) )
      | hskp27 )
    & ( hskp2
      | hskp1
      | ! [X101] :
          ( ndr1_0
         => ( c2_1(X101)
            | c0_1(X101)
            | c1_1(X101) ) ) )
    & ( ! [X87] :
          ( ndr1_0
         => ( c0_1(X87)
            | c2_1(X87)
            | ~ c1_1(X87) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | c0_1(X85)
            | ~ c2_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c1_1(X86)
            | c2_1(X86)
            | ~ c3_1(X86) ) ) )
    & ( hskp19
      | ! [X32] :
          ( ndr1_0
         => ( ~ c2_1(X32)
            | c3_1(X32)
            | c1_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c3_1(X33)
            | ~ c2_1(X33)
            | ~ c0_1(X33) ) ) )
    & ( ! [X43] :
          ( ndr1_0
         => ( c1_1(X43)
            | ~ c2_1(X43)
            | c0_1(X43) ) )
      | hskp4
      | ! [X42] :
          ( ndr1_0
         => ( c2_1(X42)
            | ~ c3_1(X42)
            | c0_1(X42) ) ) )
    & ( hskp16
      | ! [X88] :
          ( ndr1_0
         => ( ~ c1_1(X88)
            | ~ c3_1(X88)
            | c0_1(X88) ) )
      | hskp3 )
    & ( hskp7
      | ! [X30] :
          ( ndr1_0
         => ( c2_1(X30)
            | c3_1(X30)
            | ~ c1_1(X30) ) )
      | hskp2 )
    & ( ( ~ c2_1(a477)
        & c3_1(a477)
        & ~ c0_1(a477)
        & ndr1_0 )
      | ~ hskp24 )
    & ( hskp7
      | ! [X35] :
          ( ndr1_0
         => ( ~ c1_1(X35)
            | c3_1(X35)
            | c2_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c1_1(X36)
            | c0_1(X36)
            | ~ c3_1(X36) ) ) )
    & ( hskp7
      | ! [X5] :
          ( ndr1_0
         => ( ~ c0_1(X5)
            | ~ c3_1(X5)
            | c2_1(X5) ) )
      | hskp16 )
    & ( ~ hskp4
      | ( ~ c2_1(a404)
        & c0_1(a404)
        & ndr1_0
        & c3_1(a404) ) )
    & ( ! [X48] :
          ( ndr1_0
         => ( c1_1(X48)
            | c3_1(X48)
            | ~ c0_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | ~ c3_1(X49)
            | ~ c1_1(X49) ) )
      | hskp9 )
    & ( hskp13
      | ! [X66] :
          ( ndr1_0
         => ( ~ c1_1(X66)
            | c3_1(X66)
            | c2_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c0_1(X67)
            | ~ c2_1(X67)
            | c3_1(X67) ) ) )
    & ( ! [X63] :
          ( ndr1_0
         => ( c1_1(X63)
            | c3_1(X63)
            | ~ c0_1(X63) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c2_1(X62)
            | ~ c1_1(X62)
            | c0_1(X62) ) )
      | hskp1 )
    & ( hskp14
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c1_1(X21)
            | c2_1(X21) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c3_1(X20)
            | ~ c2_1(X20)
            | c0_1(X20) ) ) )
    & ( ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | c1_1(X90)
            | c0_1(X90) ) )
      | hskp6
      | ! [X89] :
          ( ndr1_0
         => ( ~ c2_1(X89)
            | c3_1(X89)
            | c0_1(X89) ) ) )
    & ( ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | c0_1(X23)
            | ~ c2_1(X23) ) )
      | ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c1_1(X22)
            | c2_1(X22) ) )
      | hskp0 )
    & ( ! [X10] :
          ( ndr1_0
         => ( ~ c1_1(X10)
            | ~ c3_1(X10)
            | c0_1(X10) ) )
      | hskp9
      | hskp27 )
    & ( ~ hskp21
      | ( ~ c1_1(a450)
        & ~ c0_1(a450)
        & ndr1_0
        & ~ c3_1(a450) ) )
    & ( hskp5
      | hskp4
      | ! [X7] :
          ( ndr1_0
         => ( ~ c1_1(X7)
            | ~ c0_1(X7)
            | c3_1(X7) ) ) )
    & ( ~ hskp14
      | ( ~ c1_1(a428)
        & c2_1(a428)
        & ndr1_0
        & ~ c0_1(a428) ) )
    & ( ( ndr1_0
        & ~ c0_1(a403)
        & ~ c3_1(a403)
        & ~ c2_1(a403) )
      | ~ hskp3 )
    & ( hskp10
      | hskp12
      | ! [X31] :
          ( ndr1_0
         => ( ~ c2_1(X31)
            | c3_1(X31)
            | ~ c1_1(X31) ) ) )
    & ( ! [X39] :
          ( ndr1_0
         => ( c2_1(X39)
            | c0_1(X39)
            | c3_1(X39) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c3_1(X37)
            | ~ c1_1(X37)
            | c2_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c1_1(X38)
            | ~ c2_1(X38) ) ) )
    & ( hskp18
      | hskp20
      | hskp23 )
    & ( ! [X95] :
          ( ndr1_0
         => ( c1_1(X95)
            | c0_1(X95)
            | ~ c3_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( c0_1(X96)
            | c3_1(X96)
            | c1_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( c1_1(X97)
            | c3_1(X97)
            | ~ c2_1(X97) ) ) )
    & ( ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | ~ c3_1(X71)
            | ~ c0_1(X71) ) )
      | hskp3
      | hskp4 )
    & ( ( ~ c1_1(a451)
        & ndr1_0
        & c2_1(a451)
        & c0_1(a451) )
      | ~ hskp22 )
    & ( ! [X102] :
          ( ndr1_0
         => ( ~ c2_1(X102)
            | ~ c1_1(X102)
            | ~ c0_1(X102) ) )
      | hskp19
      | hskp24 )
    & ( ( ndr1_0
        & ~ c0_1(a427)
        & c1_1(a427)
        & c2_1(a427) )
      | ~ hskp13 )
    & ( ! [X106] :
          ( ndr1_0
         => ( c2_1(X106)
            | ~ c1_1(X106)
            | c0_1(X106) ) )
      | hskp8
      | hskp9 )
    & ( hskp13
      | hskp2
      | ! [X103] :
          ( ndr1_0
         => ( c2_1(X103)
            | ~ c3_1(X103)
            | ~ c1_1(X103) ) ) )
    & ( hskp23
      | ! [X56] :
          ( ndr1_0
         => ( ~ c1_1(X56)
            | c2_1(X56)
            | ~ c0_1(X56) ) )
      | hskp27 )
    & ( ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c2_1(X45)
            | ~ c0_1(X45) ) )
      | hskp4
      | hskp9 )
    & ( hskp20
      | hskp5
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | ~ c0_1(X11)
            | c3_1(X11) ) ) )
    & ( hskp5
      | hskp3
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | c2_1(X68)
            | c0_1(X68) ) ) )
    & ( ( ~ c0_1(a445)
        & c1_1(a445)
        & c3_1(a445)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | c2_1(X0)
            | c0_1(X0) ) )
      | hskp10
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c1_1(X1)
            | c2_1(X1) ) ) )
    & ( hskp12
      | ! [X57] :
          ( ndr1_0
         => ( ~ c0_1(X57)
            | ~ c3_1(X57)
            | c2_1(X57) ) )
      | hskp9 )
    & ( ! [X98] :
          ( ndr1_0
         => ( ~ c2_1(X98)
            | ~ c0_1(X98)
            | ~ c3_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( c3_1(X99)
            | ~ c0_1(X99)
            | ~ c1_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( c1_1(X100)
            | c0_1(X100)
            | c2_1(X100) ) ) )
    & ( ( ~ c0_1(a420)
        & ~ c1_1(a420)
        & ndr1_0
        & ~ c2_1(a420) )
      | ~ hskp11 )
    & ( hskp5
      | hskp26
      | ! [X78] :
          ( ndr1_0
         => ( c0_1(X78)
            | c1_1(X78)
            | ~ c2_1(X78) ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c3_1(a401)
        & c1_1(a401)
        & c0_1(a401) ) )
    & ( ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | c0_1(X59)
            | c1_1(X59) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c0_1(X58)
            | ~ c1_1(X58)
            | c3_1(X58) ) )
      | hskp4 )
    & ( hskp22
      | ! [X104] :
          ( ndr1_0
         => ( c2_1(X104)
            | ~ c1_1(X104)
            | ~ c3_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( c2_1(X105)
            | c3_1(X105)
            | ~ c0_1(X105) ) ) )
    & ( ~ hskp15
      | ( c2_1(a430)
        & ~ c3_1(a430)
        & c0_1(a430)
        & ndr1_0 ) )
    & ( ( c1_1(a434)
        & ~ c0_1(a434)
        & ndr1_0
        & ~ c3_1(a434) )
      | ~ hskp16 )
    & ( hskp3
      | ! [X9] :
          ( ndr1_0
         => ( c1_1(X9)
            | ~ c2_1(X9)
            | ~ c0_1(X9) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c0_1(X8)
            | ~ c2_1(X8) ) ) )
    & ( ( c3_1(a408)
        & ndr1_0
        & c2_1(a408)
        & ~ c0_1(a408) )
      | ~ hskp5 )
    & ( ( ~ c2_1(a426)
        & c1_1(a426)
        & c0_1(a426)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ~ hskp2
      | ( ~ c2_1(a402)
        & c0_1(a402)
        & ~ c1_1(a402)
        & ndr1_0 ) )
    & ( ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | ~ c2_1(X25)
            | ~ c0_1(X25) ) )
      | hskp20
      | ! [X24] :
          ( ndr1_0
         => ( ~ c1_1(X24)
            | c2_1(X24)
            | c3_1(X24) ) ) )
    & ( ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | ~ c3_1(X74)
            | c2_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c2_1(X75)
            | ~ c0_1(X75)
            | c1_1(X75) ) )
      | hskp4 )
    & ( ~ hskp8
      | ( ndr1_0
        & c3_1(a415)
        & ~ c1_1(a415)
        & c2_1(a415) ) )
    & ( ! [X15] :
          ( ndr1_0
         => ( c3_1(X15)
            | ~ c0_1(X15)
            | c1_1(X15) ) )
      | hskp9
      | ! [X16] :
          ( ndr1_0
         => ( ~ c1_1(X16)
            | c0_1(X16)
            | c3_1(X16) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( c3_1(X28)
            | c0_1(X28)
            | ~ c2_1(X28) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c1_1(X27)
            | c0_1(X27)
            | ~ c3_1(X27) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c2_1(X29)
            | ~ c3_1(X29)
            | c1_1(X29) ) ) )
    & ( ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | c2_1(X94)
            | c1_1(X94) ) )
      | hskp18
      | hskp3 )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c2_1(a440)
        & c0_1(a440)
        & ~ c3_1(a440) ) )
    & ( ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | c1_1(X18)
            | ~ c0_1(X18) ) )
      | ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c1_1(X17)
            | ~ c2_1(X17) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c2_1(X19)
            | ~ c0_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp12
      | hskp1
      | ! [X26] :
          ( ndr1_0
         => ( c3_1(X26)
            | ~ c0_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp21
      | hskp25
      | hskp24 )
    & ( hskp28
      | ! [X44] :
          ( ndr1_0
         => ( c3_1(X44)
            | ~ c1_1(X44)
            | c2_1(X44) ) )
      | hskp4 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c2_1(X52)
            | ~ c1_1(X52)
            | c0_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c2_1(X53)
            | c1_1(X53)
            | ~ c3_1(X53) ) )
      | hskp28 )
    & ( hskp8
      | hskp17
      | hskp3 )
    & ( hskp6
      | ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | ~ c1_1(X6)
            | ~ c2_1(X6) ) )
      | hskp15 )
    & ( ~ hskp7
      | ( ~ c1_1(a410)
        & ndr1_0
        & ~ c3_1(a410)
        & c0_1(a410) ) )
    & ( ! [X55] :
          ( ndr1_0
         => ( ~ c0_1(X55)
            | c3_1(X55)
            | ~ c1_1(X55) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c2_1(X54)
            | c1_1(X54)
            | c3_1(X54) ) ) )
    & ( ( c1_1(a418)
        & ~ c2_1(a418)
        & ndr1_0
        & ~ c0_1(a418) )
      | ~ hskp10 )
    & ( hskp3
      | hskp25
      | ! [X40] :
          ( ndr1_0
         => ( c1_1(X40)
            | c0_1(X40)
            | ~ c2_1(X40) ) ) )
    & ( ! [X77] :
          ( ndr1_0
         => ( c3_1(X77)
            | ~ c1_1(X77)
            | ~ c2_1(X77) ) )
      | ! [X76] :
          ( ndr1_0
         => ( c0_1(X76)
            | c3_1(X76)
            | c1_1(X76) ) )
      | hskp3 )
    & ( hskp11
      | ! [X61] :
          ( ndr1_0
         => ( c3_1(X61)
            | c2_1(X61)
            | ~ c0_1(X61) ) )
      | hskp2 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c3_1(X79)
            | ~ c2_1(X79)
            | c1_1(X79) ) )
      | hskp12
      | ! [X80] :
          ( ndr1_0
         => ( ~ c2_1(X80)
            | c3_1(X80)
            | c0_1(X80) ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c2_1(a407)
        & c3_1(a407)
        & c1_1(a407) ) )
    & ( ! [X84] :
          ( ndr1_0
         => ( ~ c2_1(X84)
            | ~ c3_1(X84)
            | ~ c0_1(X84) ) )
      | hskp22
      | hskp11 )
    & ( ( c1_1(a400)
        & c2_1(a400)
        & ndr1_0
        & ~ c3_1(a400) )
      | ~ hskp0 )
    & ( ( ~ c3_1(a409)
        & ndr1_0
        & c2_1(a409)
        & ~ c0_1(a409) )
      | ~ hskp6 )
    & ( ( c3_1(a405)
        & ndr1_0
        & c0_1(a405)
        & c1_1(a405) )
      | ~ hskp25 )
    & ( ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | ~ c1_1(X2)
            | ~ c3_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c0_1(X3)
            | c1_1(X3) ) ) )
    & ( ! [X34] :
          ( ndr1_0
         => ( c3_1(X34)
            | ~ c1_1(X34)
            | ~ c0_1(X34) ) )
      | hskp20 )
    & ( hskp11
      | ! [X65] :
          ( ndr1_0
         => ( c0_1(X65)
            | ~ c3_1(X65)
            | ~ c2_1(X65) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c0_1(X64)
            | c3_1(X64)
            | ~ c1_1(X64) ) ) )
    & ( ( c3_1(a414)
        & c0_1(a414)
        & c2_1(a414)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ! [X4] :
          ( ndr1_0
         => ( c1_1(X4)
            | ~ c3_1(X4)
            | c2_1(X4) ) )
      | hskp17
      | hskp2 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( ~ hskp23
          | ( ndr1_0
            & ~ c3_1(a460)
            & c1_1(a460)
            & ~ c2_1(a460) ) )
        & ( hskp0
          | ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | c2_1(X51)
                | ~ c3_1(X51) ) )
          | hskp11 )
        & ( hskp9
          | ! [X73] :
              ( ndr1_0
             => ( c3_1(X73)
                | ~ c2_1(X73)
                | c0_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp7
          | hskp3
          | hskp15 )
        & ( ~ hskp9
          | ( ~ c0_1(a416)
            & ~ c1_1(a416)
            & ndr1_0
            & c3_1(a416) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | ~ c2_1(X47)
                | ~ c3_1(X47) ) )
          | hskp1
          | ! [X46] :
              ( ndr1_0
             => ( c3_1(X46)
                | c0_1(X46)
                | ~ c2_1(X46) ) ) )
        & ( hskp25
          | ! [X41] :
              ( ndr1_0
             => ( c2_1(X41)
                | ~ c3_1(X41)
                | ~ c1_1(X41) ) )
          | hskp28 )
        & ( ( c2_1(a412)
            & c1_1(a412)
            & ndr1_0
            & c0_1(a412) )
          | ~ hskp27 )
        & ( ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | c1_1(X70)
                | ~ c0_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c0_1(X69)
                | c2_1(X69)
                | ~ c3_1(X69) ) )
          | hskp4 )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | ~ c0_1(X82)
                | ~ c1_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | c2_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | ~ c1_1(X81)
                | ~ c0_1(X81) ) ) )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c3_1(X91)
                | c1_1(X91) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | c0_1(X93)
                | ~ c2_1(X93) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | c3_1(X92)
                | ~ c0_1(X92) ) ) )
        & ( ! [X50] :
              ( ndr1_0
             => ( c1_1(X50)
                | ~ c0_1(X50)
                | ~ c3_1(X50) ) )
          | hskp21
          | hskp20 )
        & ( ! [X13] :
              ( ndr1_0
             => ( c1_1(X13)
                | c2_1(X13)
                | ~ c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | c3_1(X14)
                | c2_1(X14) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c1_1(X12)
                | ~ c2_1(X12)
                | ~ c3_1(X12) ) ) )
        & ( ( ndr1_0
            & ~ c3_1(a439)
            & ~ c2_1(a439)
            & ~ c1_1(a439) )
          | ~ hskp17 )
        & ( ( c3_1(a449)
            & ndr1_0
            & ~ c2_1(a449)
            & c1_1(a449) )
          | ~ hskp20 )
        & ( hskp0
          | ! [X60] :
              ( ndr1_0
             => ( c3_1(X60)
                | c2_1(X60)
                | c0_1(X60) ) )
          | hskp27 )
        & ( hskp2
          | hskp1
          | ! [X101] :
              ( ndr1_0
             => ( c2_1(X101)
                | c0_1(X101)
                | c1_1(X101) ) ) )
        & ( ! [X87] :
              ( ndr1_0
             => ( c0_1(X87)
                | c2_1(X87)
                | ~ c1_1(X87) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | c0_1(X85)
                | ~ c2_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | c2_1(X86)
                | ~ c3_1(X86) ) ) )
        & ( hskp19
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | c3_1(X32)
                | c1_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c2_1(X33)
                | ~ c0_1(X33) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( c1_1(X43)
                | ~ c2_1(X43)
                | c0_1(X43) ) )
          | hskp4
          | ! [X42] :
              ( ndr1_0
             => ( c2_1(X42)
                | ~ c3_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp16
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | ~ c3_1(X88)
                | c0_1(X88) ) )
          | hskp3 )
        & ( hskp7
          | ! [X30] :
              ( ndr1_0
             => ( c2_1(X30)
                | c3_1(X30)
                | ~ c1_1(X30) ) )
          | hskp2 )
        & ( ( ~ c2_1(a477)
            & c3_1(a477)
            & ~ c0_1(a477)
            & ndr1_0 )
          | ~ hskp24 )
        & ( hskp7
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c3_1(X35)
                | c2_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c1_1(X36)
                | c0_1(X36)
                | ~ c3_1(X36) ) ) )
        & ( hskp7
          | ! [X5] :
              ( ndr1_0
             => ( ~ c0_1(X5)
                | ~ c3_1(X5)
                | c2_1(X5) ) )
          | hskp16 )
        & ( ~ hskp4
          | ( ~ c2_1(a404)
            & c0_1(a404)
            & ndr1_0
            & c3_1(a404) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( c1_1(X48)
                | c3_1(X48)
                | ~ c0_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c3_1(X49)
                | ~ c1_1(X49) ) )
          | hskp9 )
        & ( hskp13
          | ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | c3_1(X66)
                | c2_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c0_1(X67)
                | ~ c2_1(X67)
                | c3_1(X67) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | c3_1(X63)
                | ~ c0_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) )
          | hskp1 )
        & ( hskp14
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c1_1(X21)
                | c2_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | ~ c2_1(X20)
                | c0_1(X20) ) ) )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | c1_1(X90)
                | c0_1(X90) ) )
          | hskp6
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | c3_1(X89)
                | c0_1(X89) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | c0_1(X23)
                | ~ c2_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c1_1(X22)
                | c2_1(X22) ) )
          | hskp0 )
        & ( ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | ~ c3_1(X10)
                | c0_1(X10) ) )
          | hskp9
          | hskp27 )
        & ( ~ hskp21
          | ( ~ c1_1(a450)
            & ~ c0_1(a450)
            & ndr1_0
            & ~ c3_1(a450) ) )
        & ( hskp5
          | hskp4
          | ! [X7] :
              ( ndr1_0
             => ( ~ c1_1(X7)
                | ~ c0_1(X7)
                | c3_1(X7) ) ) )
        & ( ~ hskp14
          | ( ~ c1_1(a428)
            & c2_1(a428)
            & ndr1_0
            & ~ c0_1(a428) ) )
        & ( ( ndr1_0
            & ~ c0_1(a403)
            & ~ c3_1(a403)
            & ~ c2_1(a403) )
          | ~ hskp3 )
        & ( hskp10
          | hskp12
          | ! [X31] :
              ( ndr1_0
             => ( ~ c2_1(X31)
                | c3_1(X31)
                | ~ c1_1(X31) ) ) )
        & ( ! [X39] :
              ( ndr1_0
             => ( c2_1(X39)
                | c0_1(X39)
                | c3_1(X39) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | ~ c1_1(X37)
                | c2_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c1_1(X38)
                | ~ c2_1(X38) ) ) )
        & ( hskp18
          | hskp20
          | hskp23 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c1_1(X95)
                | c0_1(X95)
                | ~ c3_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( c0_1(X96)
                | c3_1(X96)
                | c1_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( c1_1(X97)
                | c3_1(X97)
                | ~ c2_1(X97) ) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | ~ c3_1(X71)
                | ~ c0_1(X71) ) )
          | hskp3
          | hskp4 )
        & ( ( ~ c1_1(a451)
            & ndr1_0
            & c2_1(a451)
            & c0_1(a451) )
          | ~ hskp22 )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | ~ c1_1(X102)
                | ~ c0_1(X102) ) )
          | hskp19
          | hskp24 )
        & ( ( ndr1_0
            & ~ c0_1(a427)
            & c1_1(a427)
            & c2_1(a427) )
          | ~ hskp13 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c2_1(X106)
                | ~ c1_1(X106)
                | c0_1(X106) ) )
          | hskp8
          | hskp9 )
        & ( hskp13
          | hskp2
          | ! [X103] :
              ( ndr1_0
             => ( c2_1(X103)
                | ~ c3_1(X103)
                | ~ c1_1(X103) ) ) )
        & ( hskp23
          | ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | c2_1(X56)
                | ~ c0_1(X56) ) )
          | hskp27 )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | ~ c0_1(X45) ) )
          | hskp4
          | hskp9 )
        & ( hskp20
          | hskp5
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c3_1(X11) ) ) )
        & ( hskp5
          | hskp3
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c2_1(X68)
                | c0_1(X68) ) ) )
        & ( ( ~ c0_1(a445)
            & c1_1(a445)
            & c3_1(a445)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | c2_1(X0)
                | c0_1(X0) ) )
          | hskp10
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c1_1(X1)
                | c2_1(X1) ) ) )
        & ( hskp12
          | ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | ~ c3_1(X57)
                | c2_1(X57) ) )
          | hskp9 )
        & ( ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | ~ c0_1(X98)
                | ~ c3_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( c3_1(X99)
                | ~ c0_1(X99)
                | ~ c1_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c1_1(X100)
                | c0_1(X100)
                | c2_1(X100) ) ) )
        & ( ( ~ c0_1(a420)
            & ~ c1_1(a420)
            & ndr1_0
            & ~ c2_1(a420) )
          | ~ hskp11 )
        & ( hskp5
          | hskp26
          | ! [X78] :
              ( ndr1_0
             => ( c0_1(X78)
                | c1_1(X78)
                | ~ c2_1(X78) ) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & ~ c3_1(a401)
            & c1_1(a401)
            & c0_1(a401) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | c0_1(X59)
                | c1_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c0_1(X58)
                | ~ c1_1(X58)
                | c3_1(X58) ) )
          | hskp4 )
        & ( hskp22
          | ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | ~ c1_1(X104)
                | ~ c3_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( c2_1(X105)
                | c3_1(X105)
                | ~ c0_1(X105) ) ) )
        & ( ~ hskp15
          | ( c2_1(a430)
            & ~ c3_1(a430)
            & c0_1(a430)
            & ndr1_0 ) )
        & ( ( c1_1(a434)
            & ~ c0_1(a434)
            & ndr1_0
            & ~ c3_1(a434) )
          | ~ hskp16 )
        & ( hskp3
          | ! [X9] :
              ( ndr1_0
             => ( c1_1(X9)
                | ~ c2_1(X9)
                | ~ c0_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c0_1(X8)
                | ~ c2_1(X8) ) ) )
        & ( ( c3_1(a408)
            & ndr1_0
            & c2_1(a408)
            & ~ c0_1(a408) )
          | ~ hskp5 )
        & ( ( ~ c2_1(a426)
            & c1_1(a426)
            & c0_1(a426)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ~ hskp2
          | ( ~ c2_1(a402)
            & c0_1(a402)
            & ~ c1_1(a402)
            & ndr1_0 ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c2_1(X25)
                | ~ c0_1(X25) ) )
          | hskp20
          | ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | c2_1(X24)
                | c3_1(X24) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | ~ c3_1(X74)
                | c2_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | ~ c0_1(X75)
                | c1_1(X75) ) )
          | hskp4 )
        & ( ~ hskp8
          | ( ndr1_0
            & c3_1(a415)
            & ~ c1_1(a415)
            & c2_1(a415) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( c3_1(X15)
                | ~ c0_1(X15)
                | c1_1(X15) ) )
          | hskp9
          | ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | c0_1(X16)
                | c3_1(X16) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( c3_1(X28)
                | c0_1(X28)
                | ~ c2_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c1_1(X27)
                | c0_1(X27)
                | ~ c3_1(X27) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c2_1(X29)
                | ~ c3_1(X29)
                | c1_1(X29) ) ) )
        & ( ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | c2_1(X94)
                | c1_1(X94) ) )
          | hskp18
          | hskp3 )
        & ( ~ hskp18
          | ( ndr1_0
            & ~ c2_1(a440)
            & c0_1(a440)
            & ~ c3_1(a440) ) )
        & ( ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c1_1(X18)
                | ~ c0_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c2_1(X17) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c2_1(X19)
                | ~ c0_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp12
          | hskp1
          | ! [X26] :
              ( ndr1_0
             => ( c3_1(X26)
                | ~ c0_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp21
          | hskp25
          | hskp24 )
        & ( hskp28
          | ! [X44] :
              ( ndr1_0
             => ( c3_1(X44)
                | ~ c1_1(X44)
                | c2_1(X44) ) )
          | hskp4 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c2_1(X52)
                | ~ c1_1(X52)
                | c0_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c2_1(X53)
                | c1_1(X53)
                | ~ c3_1(X53) ) )
          | hskp28 )
        & ( hskp8
          | hskp17
          | hskp3 )
        & ( hskp6
          | ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | ~ c1_1(X6)
                | ~ c2_1(X6) ) )
          | hskp15 )
        & ( ~ hskp7
          | ( ~ c1_1(a410)
            & ndr1_0
            & ~ c3_1(a410)
            & c0_1(a410) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | c3_1(X55)
                | ~ c1_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | c1_1(X54)
                | c3_1(X54) ) ) )
        & ( ( c1_1(a418)
            & ~ c2_1(a418)
            & ndr1_0
            & ~ c0_1(a418) )
          | ~ hskp10 )
        & ( hskp3
          | hskp25
          | ! [X40] :
              ( ndr1_0
             => ( c1_1(X40)
                | c0_1(X40)
                | ~ c2_1(X40) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | ~ c1_1(X77)
                | ~ c2_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c0_1(X76)
                | c3_1(X76)
                | c1_1(X76) ) )
          | hskp3 )
        & ( hskp11
          | ! [X61] :
              ( ndr1_0
             => ( c3_1(X61)
                | c2_1(X61)
                | ~ c0_1(X61) ) )
          | hskp2 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c3_1(X79)
                | ~ c2_1(X79)
                | c1_1(X79) ) )
          | hskp12
          | ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | c3_1(X80)
                | c0_1(X80) ) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c2_1(a407)
            & c3_1(a407)
            & c1_1(a407) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c3_1(X84)
                | ~ c0_1(X84) ) )
          | hskp22
          | hskp11 )
        & ( ( c1_1(a400)
            & c2_1(a400)
            & ndr1_0
            & ~ c3_1(a400) )
          | ~ hskp0 )
        & ( ( ~ c3_1(a409)
            & ndr1_0
            & c2_1(a409)
            & ~ c0_1(a409) )
          | ~ hskp6 )
        & ( ( c3_1(a405)
            & ndr1_0
            & c0_1(a405)
            & c1_1(a405) )
          | ~ hskp25 )
        & ( ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | ~ c1_1(X2)
                | ~ c3_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c0_1(X3)
                | c1_1(X3) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( c3_1(X34)
                | ~ c1_1(X34)
                | ~ c0_1(X34) ) )
          | hskp20 )
        & ( hskp11
          | ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c3_1(X65)
                | ~ c2_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | c3_1(X64)
                | ~ c1_1(X64) ) ) )
        & ( ( c3_1(a414)
            & c0_1(a414)
            & c2_1(a414)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ! [X4] :
              ( ndr1_0
             => ( c1_1(X4)
                | ~ c3_1(X4)
                | c2_1(X4) ) )
          | hskp17
          | hskp2 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | ~ c3_1(X39)
                | c2_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c2_1(X40)
                | ~ c3_1(X40)
                | ~ c1_1(X40) ) )
          | hskp10 )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c0_1(X62)
                | c1_1(X62) ) ) )
        & ( hskp7
          | hskp3
          | hskp15 )
        & ( hskp17
          | ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | c2_1(X75)
                | ~ c3_1(X75) ) )
          | hskp2 )
        & ( ~ hskp4
          | ( ~ c2_1(a404)
            & c0_1(a404)
            & ndr1_0
            & c3_1(a404) ) )
        & ( hskp7
          | hskp16
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | c2_1(X97)
                | ~ c0_1(X97) ) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | c0_1(X60)
                | ~ c2_1(X60) ) )
          | hskp15
          | hskp6 )
        & ( hskp4
          | hskp5
          | ! [X100] :
              ( ndr1_0
             => ( ~ c0_1(X100)
                | ~ c1_1(X100)
                | c3_1(X100) ) ) )
        & ( ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c0_1(X85)
                | ~ c2_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | ~ c2_1(X84)
                | ~ c0_1(X84) ) )
          | hskp3 )
        & ( ( c2_1(a412)
            & c1_1(a412)
            & ndr1_0
            & c0_1(a412) )
          | ~ hskp27 )
        & ( hskp9
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | ~ c3_1(X63)
                | c0_1(X63) ) )
          | hskp27 )
        & ( ( ndr1_0
            & ~ c0_1(a403)
            & ~ c3_1(a403)
            & ~ c2_1(a403) )
          | ~ hskp3 )
        & ( hskp20
          | hskp5
          | ! [X102] :
              ( ndr1_0
             => ( ~ c0_1(X102)
                | ~ c1_1(X102)
                | c3_1(X102) ) ) )
        & ( ( ~ c2_1(a477)
            & c3_1(a477)
            & ~ c0_1(a477)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c3_1(X73)
                | c1_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | ~ c3_1(X72)
                | c1_1(X72) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c3_1(X74)
                | c2_1(X74)
                | ~ c0_1(X74) ) ) )
        & ( ( ~ c2_1(a426)
            & c1_1(a426)
            & c0_1(a426)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( c3_1(a405)
            & ndr1_0
            & c0_1(a405)
            & c1_1(a405) )
          | ~ hskp25 )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | c3_1(X44)
                | c1_1(X44) ) )
          | hskp9
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | ~ c1_1(X43)
                | c0_1(X43) ) ) )
        & ( ( c3_1(a414)
            & c0_1(a414)
            & c2_1(a414)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | ~ c2_1(X16) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c1_1(X18)
                | ~ c0_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c2_1(X17)
                | ~ c0_1(X17)
                | c1_1(X17) ) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( c3_1(X53)
                | c0_1(X53)
                | ~ c2_1(X53) ) )
          | hskp14
          | ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | ~ c3_1(X54)
                | c2_1(X54) ) ) )
        & ( ~ hskp2
          | ( ~ c2_1(a402)
            & c0_1(a402)
            & ~ c1_1(a402)
            & ndr1_0 ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c0_1(X0)
                | c1_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | c0_1(X1) ) )
          | hskp0 )
        & ( hskp20
          | ! [X91] :
              ( ndr1_0
             => ( c3_1(X91)
                | c2_1(X91)
                | ~ c1_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | ~ c0_1(X92)
                | ~ c3_1(X92) ) ) )
        & ( hskp21
          | hskp25
          | hskp24 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c3_1(X79)
                | ~ c0_1(X79)
                | c1_1(X79) ) )
          | hskp1
          | hskp12 )
        & ( ( c1_1(a400)
            & c2_1(a400)
            & ndr1_0
            & ~ c3_1(a400) )
          | ~ hskp0 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | ~ c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | c0_1(X22)
                | c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c1_1(X23)
                | ~ c3_1(X23)
                | c2_1(X23) ) ) )
        & ( hskp2
          | hskp7
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | c3_1(X94)
                | c2_1(X94) ) ) )
        & ( hskp12
          | hskp10
          | ! [X103] :
              ( ndr1_0
             => ( ~ c1_1(X103)
                | ~ c2_1(X103)
                | c3_1(X103) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | ~ c2_1(X82)
                | c3_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c2_1(X83)
                | ~ c0_1(X83)
                | ~ c3_1(X83) ) )
          | hskp19 )
        & ( ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | ~ c0_1(X101)
                | c3_1(X101) ) )
          | hskp20 )
        & ( hskp7
          | ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | c2_1(X27)
                | c3_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | c0_1(X26)
                | c1_1(X26) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | c2_1(X13)
                | c3_1(X13) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | ~ c2_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c2_1(X12)
                | c3_1(X12) ) ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( c1_1(X19)
                | c0_1(X19)
                | ~ c2_1(X19) ) )
          | hskp3
          | hskp25 )
        & ( ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | c2_1(X98)
                | ~ c3_1(X98) ) )
          | hskp25
          | hskp28 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c2_1(X15)
                | c0_1(X15)
                | ~ c3_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c1_1(X14)
                | ~ c2_1(X14)
                | c0_1(X14) ) )
          | hskp4 )
        & ( hskp28
          | hskp4
          | ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | ~ c1_1(X93)
                | c2_1(X93) ) ) )
        & ( ~ hskp21
          | ( ~ c1_1(a450)
            & ~ c0_1(a450)
            & ndr1_0
            & ~ c3_1(a450) ) )
        & ( ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | ~ c3_1(X106)
                | ~ c0_1(X106) ) )
          | hskp4
          | hskp9 )
        & ( hskp8
          | hskp17
          | hskp3 )
        & ( ~ hskp9
          | ( ~ c0_1(a416)
            & ~ c1_1(a416)
            & ndr1_0
            & c3_1(a416) ) )
        & ( hskp1
          | ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c3_1(X45)
                | ~ c2_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | ~ c2_1(X46)
                | ~ c3_1(X46) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c1_1(X77)
                | c3_1(X77) ) )
          | hskp9
          | ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | ~ c3_1(X78)
                | ~ c1_1(X78) ) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c2_1(a407)
            & c3_1(a407)
            & c1_1(a407) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c3_1(a415)
            & ~ c1_1(a415)
            & c2_1(a415) ) )
        & ( ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c0_1(X87)
                | c1_1(X87) ) )
          | hskp20
          | hskp21 )
        & ( hskp11
          | ! [X41] :
              ( ndr1_0
             => ( c2_1(X41)
                | c0_1(X41)
                | ~ c3_1(X41) ) )
          | hskp0 )
        & ( ( ~ c1_1(a451)
            & ndr1_0
            & c2_1(a451)
            & c0_1(a451) )
          | ~ hskp22 )
        & ( ( ~ c0_1(a420)
            & ~ c1_1(a420)
            & ndr1_0
            & ~ c2_1(a420) )
          | ~ hskp11 )
        & ( ~ hskp18
          | ( ndr1_0
            & ~ c2_1(a440)
            & c0_1(a440)
            & ~ c3_1(a440) ) )
        & ( hskp28
          | ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | ~ c1_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c2_1(X35)
                | ~ c3_1(X35)
                | c1_1(X35) ) ) )
        & ( ! [X80] :
              ( ndr1_0
             => ( c3_1(X80)
                | ~ c2_1(X80)
                | c1_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | c3_1(X81)
                | ~ c1_1(X81) ) ) )
        & ( hskp23
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | c2_1(X95)
                | ~ c0_1(X95) ) )
          | hskp27 )
        & ( ( c1_1(a434)
            & ~ c0_1(a434)
            & ndr1_0
            & ~ c3_1(a434) )
          | ~ hskp16 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | ~ c0_1(X96)
                | ~ c3_1(X96) ) )
          | hskp9
          | hskp12 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | ~ c1_1(X29)
                | ~ c0_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | c1_1(X28)
                | c0_1(X28) ) )
          | hskp4 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) )
          | hskp27
          | hskp0 )
        & ( hskp2
          | ! [X90] :
              ( ndr1_0
             => ( c3_1(X90)
                | ~ c0_1(X90)
                | c2_1(X90) ) )
          | hskp11 )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c1_1(X55)
                | ~ c2_1(X55)
                | c0_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c3_1(X56)
                | ~ c0_1(X56)
                | c1_1(X56) ) )
          | hskp1 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c3_1(X66)
                | ~ c1_1(X66)
                | ~ c0_1(X66) ) )
          | hskp11
          | ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c3_1(X65)
                | ~ c2_1(X65) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c2_1(X52)
                | c3_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | c3_1(X51)
                | c0_1(X51) ) )
          | hskp13 )
        & ( hskp5
          | hskp3
          | ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c2_1(X42)
                | ~ c3_1(X42) ) ) )
        & ( ~ hskp7
          | ( ~ c1_1(a410)
            & ndr1_0
            & ~ c3_1(a410)
            & c0_1(a410) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( c2_1(X37)
                | c0_1(X37)
                | ~ c3_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | c1_1(X38)
                | ~ c0_1(X38) ) )
          | hskp4 )
        & ( hskp3
          | hskp4
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | ~ c3_1(X86)
                | c1_1(X86) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( c2_1(X48)
                | c1_1(X48)
                | ~ c0_1(X48) ) )
          | hskp9
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | c0_1(X47)
                | c3_1(X47) ) ) )
        & ( ! [X70] :
              ( ndr1_0
             => ( c2_1(X70)
                | c1_1(X70)
                | ~ c3_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | ~ c0_1(X71)
                | c1_1(X71) ) )
          | hskp4 )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c3_1(X9)
                | c1_1(X9) ) )
          | hskp3
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | ~ c2_1(X10)
                | c3_1(X10) ) ) )
        & ( ( c1_1(a418)
            & ~ c2_1(a418)
            & ndr1_0
            & ~ c0_1(a418) )
          | ~ hskp10 )
        & ( hskp5
          | ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | ~ c2_1(X20)
                | c1_1(X20) ) )
          | hskp26 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c1_1(X50)
                | ~ c2_1(X50)
                | c3_1(X50) ) )
          | hskp12
          | ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | ~ c2_1(X49)
                | c3_1(X49) ) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | ~ c0_1(X68)
                | c2_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | ~ c1_1(X69)
                | ~ c0_1(X69) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c2_1(X67)
                | c1_1(X67) ) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & ~ c3_1(a401)
            & c1_1(a401)
            & c0_1(a401) ) )
        & ( ( c3_1(a449)
            & ndr1_0
            & ~ c2_1(a449)
            & c1_1(a449) )
          | ~ hskp20 )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c2_1(X105)
                | ~ c3_1(X105)
                | ~ c0_1(X105) ) )
          | hskp11
          | hskp22 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | ~ c2_1(X32)
                | ~ c3_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c1_1(X33)
                | ~ c3_1(X33)
                | c2_1(X33) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp3
          | hskp16
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | ~ c3_1(X64)
                | c0_1(X64) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | ~ c2_1(X25)
                | c0_1(X25) ) )
          | hskp6
          | ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c1_1(X24)
                | ~ c3_1(X24) ) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c3_1(X58)
                | c1_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c0_1(X59)
                | c3_1(X59) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) ) )
        & ( ( c3_1(a408)
            & ndr1_0
            & c2_1(a408)
            & ~ c0_1(a408) )
          | ~ hskp5 )
        & ( hskp18
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c1_1(X76)
                | c2_1(X76) ) )
          | hskp3 )
        & ( ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c0_1(X6)
                | c1_1(X6) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c3_1(X8)
                | c1_1(X8) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c3_1(X4)
                | ~ c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c3_1(X3)
                | ~ c0_1(X3)
                | ~ c1_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c0_1(X2)
                | c1_1(X2) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c2_1(X5) ) )
          | hskp2
          | hskp1 )
        & ( ( ndr1_0
            & ~ c0_1(a427)
            & c1_1(a427)
            & c2_1(a427) )
          | ~ hskp13 )
        & ( ( ~ c3_1(a409)
            & ndr1_0
            & c2_1(a409)
            & ~ c0_1(a409) )
          | ~ hskp6 )
        & ( ~ hskp23
          | ( ndr1_0
            & ~ c3_1(a460)
            & c1_1(a460)
            & ~ c2_1(a460) ) )
        & ( ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | ~ c1_1(X104)
                | ~ c2_1(X104) ) )
          | hskp24
          | hskp19 )
        & ( ~ hskp14
          | ( ~ c1_1(a428)
            & c2_1(a428)
            & ndr1_0
            & ~ c0_1(a428) ) )
        & ( ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | c2_1(X99)
                | ~ c3_1(X99) ) )
          | hskp13
          | hskp2 )
        & ( ~ hskp15
          | ( c2_1(a430)
            & ~ c3_1(a430)
            & c0_1(a430)
            & ndr1_0 ) )
        & ( ( ~ c0_1(a445)
            & c1_1(a445)
            & c3_1(a445)
            & ndr1_0 )
          | ~ hskp19 )
        & ( hskp18
          | hskp20
          | hskp23 )
        & ( ( ndr1_0
            & ~ c3_1(a439)
            & ~ c2_1(a439)
            & ~ c1_1(a439) )
          | ~ hskp17 )
        & ( ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | c2_1(X89)
                | ~ c3_1(X89) ) )
          | hskp22
          | ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | c2_1(X88)
                | c3_1(X88) ) ) )
        & ( hskp9
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) )
          | hskp8 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | ~ c3_1(X39)
              | c2_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c2_1(X40)
              | ~ c3_1(X40)
              | ~ c1_1(X40) ) )
        | hskp10 )
      & ( ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c1_1(X61)
              | c0_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c0_1(X62)
              | c1_1(X62) ) ) )
      & ( hskp7
        | hskp3
        | hskp15 )
      & ( hskp17
        | ! [X75] :
            ( ndr1_0
           => ( c1_1(X75)
              | c2_1(X75)
              | ~ c3_1(X75) ) )
        | hskp2 )
      & ( ~ hskp4
        | ( ~ c2_1(a404)
          & c0_1(a404)
          & ndr1_0
          & c3_1(a404) ) )
      & ( hskp7
        | hskp16
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | c2_1(X97)
              | ~ c0_1(X97) ) ) )
      & ( ! [X60] :
            ( ndr1_0
           => ( ~ c1_1(X60)
              | c0_1(X60)
              | ~ c2_1(X60) ) )
        | hskp15
        | hskp6 )
      & ( hskp4
        | hskp5
        | ! [X100] :
            ( ndr1_0
           => ( ~ c0_1(X100)
              | ~ c1_1(X100)
              | c3_1(X100) ) ) )
      & ( ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c0_1(X85)
              | ~ c2_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | ~ c2_1(X84)
              | ~ c0_1(X84) ) )
        | hskp3 )
      & ( ( c2_1(a412)
          & c1_1(a412)
          & ndr1_0
          & c0_1(a412) )
        | ~ hskp27 )
      & ( hskp9
        | ! [X63] :
            ( ndr1_0
           => ( ~ c1_1(X63)
              | ~ c3_1(X63)
              | c0_1(X63) ) )
        | hskp27 )
      & ( ( ndr1_0
          & ~ c0_1(a403)
          & ~ c3_1(a403)
          & ~ c2_1(a403) )
        | ~ hskp3 )
      & ( hskp20
        | hskp5
        | ! [X102] :
            ( ndr1_0
           => ( ~ c0_1(X102)
              | ~ c1_1(X102)
              | c3_1(X102) ) ) )
      & ( ( ~ c2_1(a477)
          & c3_1(a477)
          & ~ c0_1(a477)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ! [X73] :
            ( ndr1_0
           => ( ~ c2_1(X73)
              | ~ c3_1(X73)
              | c1_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c2_1(X72)
              | ~ c3_1(X72)
              | c1_1(X72) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c3_1(X74)
              | c2_1(X74)
              | ~ c0_1(X74) ) ) )
      & ( ( ~ c2_1(a426)
          & c1_1(a426)
          & c0_1(a426)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( c3_1(a405)
          & ndr1_0
          & c0_1(a405)
          & c1_1(a405) )
        | ~ hskp25 )
      & ( ! [X44] :
            ( ndr1_0
           => ( ~ c0_1(X44)
              | c3_1(X44)
              | c1_1(X44) ) )
        | hskp9
        | ! [X43] :
            ( ndr1_0
           => ( c3_1(X43)
              | ~ c1_1(X43)
              | c0_1(X43) ) ) )
      & ( ( c3_1(a414)
          & c0_1(a414)
          & c2_1(a414)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | ~ c2_1(X16) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c1_1(X18)
              | ~ c0_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c2_1(X17)
              | ~ c0_1(X17)
              | c1_1(X17) ) ) )
      & ( ! [X53] :
            ( ndr1_0
           => ( c3_1(X53)
              | c0_1(X53)
              | ~ c2_1(X53) ) )
        | hskp14
        | ! [X54] :
            ( ndr1_0
           => ( ~ c1_1(X54)
              | ~ c3_1(X54)
              | c2_1(X54) ) ) )
      & ( ~ hskp2
        | ( ~ c2_1(a402)
          & c0_1(a402)
          & ~ c1_1(a402)
          & ndr1_0 ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c0_1(X0)
              | c1_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c3_1(X1)
              | ~ c2_1(X1)
              | c0_1(X1) ) )
        | hskp0 )
      & ( hskp20
        | ! [X91] :
            ( ndr1_0
           => ( c3_1(X91)
              | c2_1(X91)
              | ~ c1_1(X91) ) )
        | ! [X92] :
            ( ndr1_0
           => ( ~ c2_1(X92)
              | ~ c0_1(X92)
              | ~ c3_1(X92) ) ) )
      & ( hskp21
        | hskp25
        | hskp24 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c3_1(X79)
              | ~ c0_1(X79)
              | c1_1(X79) ) )
        | hskp1
        | hskp12 )
      & ( ( c1_1(a400)
          & c2_1(a400)
          & ndr1_0
          & ~ c3_1(a400) )
        | ~ hskp0 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c1_1(X21)
              | ~ c3_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c2_1(X22)
              | c0_1(X22)
              | c3_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c1_1(X23)
              | ~ c3_1(X23)
              | c2_1(X23) ) ) )
      & ( hskp2
        | hskp7
        | ! [X94] :
            ( ndr1_0
           => ( ~ c1_1(X94)
              | c3_1(X94)
              | c2_1(X94) ) ) )
      & ( hskp12
        | hskp10
        | ! [X103] :
            ( ndr1_0
           => ( ~ c1_1(X103)
              | ~ c2_1(X103)
              | c3_1(X103) ) ) )
      & ( ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | ~ c2_1(X82)
              | c3_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c2_1(X83)
              | ~ c0_1(X83)
              | ~ c3_1(X83) ) )
        | hskp19 )
      & ( ! [X101] :
            ( ndr1_0
           => ( ~ c1_1(X101)
              | ~ c0_1(X101)
              | c3_1(X101) ) )
        | hskp20 )
      & ( hskp7
        | ! [X27] :
            ( ndr1_0
           => ( ~ c1_1(X27)
              | c2_1(X27)
              | c3_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | c0_1(X26)
              | c1_1(X26) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( ~ c1_1(X13)
              | c2_1(X13)
              | c3_1(X13) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | ~ c2_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c2_1(X12)
              | c3_1(X12) ) ) )
      & ( ! [X19] :
            ( ndr1_0
           => ( c1_1(X19)
              | c0_1(X19)
              | ~ c2_1(X19) ) )
        | hskp3
        | hskp25 )
      & ( ! [X98] :
            ( ndr1_0
           => ( ~ c1_1(X98)
              | c2_1(X98)
              | ~ c3_1(X98) ) )
        | hskp25
        | hskp28 )
      & ( ! [X15] :
            ( ndr1_0
           => ( c2_1(X15)
              | c0_1(X15)
              | ~ c3_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c1_1(X14)
              | ~ c2_1(X14)
              | c0_1(X14) ) )
        | hskp4 )
      & ( hskp28
        | hskp4
        | ! [X93] :
            ( ndr1_0
           => ( c3_1(X93)
              | ~ c1_1(X93)
              | c2_1(X93) ) ) )
      & ( ~ hskp21
        | ( ~ c1_1(a450)
          & ~ c0_1(a450)
          & ndr1_0
          & ~ c3_1(a450) ) )
      & ( ! [X106] :
            ( ndr1_0
           => ( ~ c2_1(X106)
              | ~ c3_1(X106)
              | ~ c0_1(X106) ) )
        | hskp4
        | hskp9 )
      & ( hskp8
        | hskp17
        | hskp3 )
      & ( ~ hskp9
        | ( ~ c0_1(a416)
          & ~ c1_1(a416)
          & ndr1_0
          & c3_1(a416) ) )
      & ( hskp1
        | ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | c3_1(X45)
              | ~ c2_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | ~ c2_1(X46)
              | ~ c3_1(X46) ) ) )
      & ( ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | c1_1(X77)
              | c3_1(X77) ) )
        | hskp9
        | ! [X78] :
            ( ndr1_0
           => ( ~ c2_1(X78)
              | ~ c3_1(X78)
              | ~ c1_1(X78) ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c2_1(a407)
          & c3_1(a407)
          & c1_1(a407) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c3_1(a415)
          & ~ c1_1(a415)
          & c2_1(a415) ) )
      & ( ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c0_1(X87)
              | c1_1(X87) ) )
        | hskp20
        | hskp21 )
      & ( hskp11
        | ! [X41] :
            ( ndr1_0
           => ( c2_1(X41)
              | c0_1(X41)
              | ~ c3_1(X41) ) )
        | hskp0 )
      & ( ( ~ c1_1(a451)
          & ndr1_0
          & c2_1(a451)
          & c0_1(a451) )
        | ~ hskp22 )
      & ( ( ~ c0_1(a420)
          & ~ c1_1(a420)
          & ndr1_0
          & ~ c2_1(a420) )
        | ~ hskp11 )
      & ( ~ hskp18
        | ( ndr1_0
          & ~ c2_1(a440)
          & c0_1(a440)
          & ~ c3_1(a440) ) )
      & ( hskp28
        | ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c2_1(X34)
              | ~ c1_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c2_1(X35)
              | ~ c3_1(X35)
              | c1_1(X35) ) ) )
      & ( ! [X80] :
            ( ndr1_0
           => ( c3_1(X80)
              | ~ c2_1(X80)
              | c1_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c0_1(X81)
              | c3_1(X81)
              | ~ c1_1(X81) ) ) )
      & ( hskp23
        | ! [X95] :
            ( ndr1_0
           => ( ~ c1_1(X95)
              | c2_1(X95)
              | ~ c0_1(X95) ) )
        | hskp27 )
      & ( ( c1_1(a434)
          & ~ c0_1(a434)
          & ndr1_0
          & ~ c3_1(a434) )
        | ~ hskp16 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c2_1(X96)
              | ~ c0_1(X96)
              | ~ c3_1(X96) ) )
        | hskp9
        | hskp12 )
      & ( ! [X29] :
            ( ndr1_0
           => ( c3_1(X29)
              | ~ c1_1(X29)
              | ~ c0_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | c1_1(X28)
              | c0_1(X28) ) )
        | hskp4 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c3_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) )
        | hskp27
        | hskp0 )
      & ( hskp2
        | ! [X90] :
            ( ndr1_0
           => ( c3_1(X90)
              | ~ c0_1(X90)
              | c2_1(X90) ) )
        | hskp11 )
      & ( ! [X55] :
            ( ndr1_0
           => ( ~ c1_1(X55)
              | ~ c2_1(X55)
              | c0_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c3_1(X56)
              | ~ c0_1(X56)
              | c1_1(X56) ) )
        | hskp1 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c3_1(X66)
              | ~ c1_1(X66)
              | ~ c0_1(X66) ) )
        | hskp11
        | ! [X65] :
            ( ndr1_0
           => ( c0_1(X65)
              | ~ c3_1(X65)
              | ~ c2_1(X65) ) ) )
      & ( ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | c2_1(X52)
              | c3_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | c3_1(X51)
              | c0_1(X51) ) )
        | hskp13 )
      & ( hskp5
        | hskp3
        | ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c2_1(X42)
              | ~ c3_1(X42) ) ) )
      & ( ~ hskp7
        | ( ~ c1_1(a410)
          & ndr1_0
          & ~ c3_1(a410)
          & c0_1(a410) ) )
      & ( ! [X37] :
            ( ndr1_0
           => ( c2_1(X37)
              | c0_1(X37)
              | ~ c3_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c2_1(X38)
              | c1_1(X38)
              | ~ c0_1(X38) ) )
        | hskp4 )
      & ( hskp3
        | hskp4
        | ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | ~ c3_1(X86)
              | c1_1(X86) ) ) )
      & ( ! [X48] :
            ( ndr1_0
           => ( c2_1(X48)
              | c1_1(X48)
              | ~ c0_1(X48) ) )
        | hskp9
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | c0_1(X47)
              | c3_1(X47) ) ) )
      & ( ! [X70] :
            ( ndr1_0
           => ( c2_1(X70)
              | c1_1(X70)
              | ~ c3_1(X70) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c2_1(X71)
              | ~ c0_1(X71)
              | c1_1(X71) ) )
        | hskp4 )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c3_1(X9)
              | c1_1(X9) ) )
        | hskp3
        | ! [X10] :
            ( ndr1_0
           => ( ~ c1_1(X10)
              | ~ c2_1(X10)
              | c3_1(X10) ) ) )
      & ( ( c1_1(a418)
          & ~ c2_1(a418)
          & ndr1_0
          & ~ c0_1(a418) )
        | ~ hskp10 )
      & ( hskp5
        | ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | ~ c2_1(X20)
              | c1_1(X20) ) )
        | hskp26 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c1_1(X50)
              | ~ c2_1(X50)
              | c3_1(X50) ) )
        | hskp12
        | ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | ~ c2_1(X49)
              | c3_1(X49) ) ) )
      & ( ! [X68] :
            ( ndr1_0
           => ( ~ c1_1(X68)
              | ~ c0_1(X68)
              | c2_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c2_1(X69)
              | ~ c1_1(X69)
              | ~ c0_1(X69) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | c2_1(X67)
              | c1_1(X67) ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ~ c3_1(a401)
          & c1_1(a401)
          & c0_1(a401) ) )
      & ( ( c3_1(a449)
          & ndr1_0
          & ~ c2_1(a449)
          & c1_1(a449) )
        | ~ hskp20 )
      & ( ! [X105] :
            ( ndr1_0
           => ( ~ c2_1(X105)
              | ~ c3_1(X105)
              | ~ c0_1(X105) ) )
        | hskp11
        | hskp22 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | ~ c2_1(X32)
              | ~ c3_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c1_1(X33)
              | ~ c3_1(X33)
              | c2_1(X33) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp3
        | hskp16
        | ! [X64] :
            ( ndr1_0
           => ( ~ c1_1(X64)
              | ~ c3_1(X64)
              | c0_1(X64) ) ) )
      & ( ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | ~ c2_1(X25)
              | c0_1(X25) ) )
        | hskp6
        | ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c1_1(X24)
              | ~ c3_1(X24) ) ) )
      & ( ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | ~ c3_1(X58)
              | c1_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c2_1(X59)
              | ~ c0_1(X59)
              | c3_1(X59) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | ~ c1_1(X57)
              | c0_1(X57) ) ) )
      & ( ( c3_1(a408)
          & ndr1_0
          & c2_1(a408)
          & ~ c0_1(a408) )
        | ~ hskp5 )
      & ( hskp18
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | c1_1(X76)
              | c2_1(X76) ) )
        | hskp3 )
      & ( ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c0_1(X6)
              | c1_1(X6) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c3_1(X8)
              | c1_1(X8) ) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( ~ c2_1(X4)
              | ~ c3_1(X4)
              | ~ c0_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c3_1(X3)
              | ~ c0_1(X3)
              | ~ c1_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c0_1(X2)
              | c1_1(X2) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | c2_1(X5) ) )
        | hskp2
        | hskp1 )
      & ( ( ndr1_0
          & ~ c0_1(a427)
          & c1_1(a427)
          & c2_1(a427) )
        | ~ hskp13 )
      & ( ( ~ c3_1(a409)
          & ndr1_0
          & c2_1(a409)
          & ~ c0_1(a409) )
        | ~ hskp6 )
      & ( ~ hskp23
        | ( ndr1_0
          & ~ c3_1(a460)
          & c1_1(a460)
          & ~ c2_1(a460) ) )
      & ( ! [X104] :
            ( ndr1_0
           => ( ~ c0_1(X104)
              | ~ c1_1(X104)
              | ~ c2_1(X104) ) )
        | hskp24
        | hskp19 )
      & ( ~ hskp14
        | ( ~ c1_1(a428)
          & c2_1(a428)
          & ndr1_0
          & ~ c0_1(a428) ) )
      & ( ! [X99] :
            ( ndr1_0
           => ( ~ c1_1(X99)
              | c2_1(X99)
              | ~ c3_1(X99) ) )
        | hskp13
        | hskp2 )
      & ( ~ hskp15
        | ( c2_1(a430)
          & ~ c3_1(a430)
          & c0_1(a430)
          & ndr1_0 ) )
      & ( ( ~ c0_1(a445)
          & c1_1(a445)
          & c3_1(a445)
          & ndr1_0 )
        | ~ hskp19 )
      & ( hskp18
        | hskp20
        | hskp23 )
      & ( ( ndr1_0
          & ~ c3_1(a439)
          & ~ c2_1(a439)
          & ~ c1_1(a439) )
        | ~ hskp17 )
      & ( ! [X89] :
            ( ndr1_0
           => ( ~ c1_1(X89)
              | c2_1(X89)
              | ~ c3_1(X89) ) )
        | hskp22
        | ! [X88] :
            ( ndr1_0
           => ( ~ c0_1(X88)
              | c2_1(X88)
              | c3_1(X88) ) ) )
      & ( hskp9
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) )
        | hskp8 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f921,plain,
    ( ~ spl0_59
    | spl0_145 ),
    inference(avatar_split_clause,[],[f111,f918,f437]) ).

fof(f437,plain,
    ( spl0_59
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f111,plain,
    ( c0_1(a412)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f911,plain,
    ( ~ spl0_143
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f143,f309,f908]) ).

fof(f143,plain,
    ( ~ hskp3
    | ~ c2_1(a403) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f896,plain,
    ( ~ spl0_40
    | spl0_140 ),
    inference(avatar_split_clause,[],[f119,f893,f355]) ).

fof(f355,plain,
    ( spl0_40
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f119,plain,
    ( c2_1(a415)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f891,plain,
    ( ~ spl0_3
    | spl0_59
    | spl0_31
    | spl0_102 ),
    inference(avatar_split_clause,[],[f28,f675,f314,f437,f201]) ).

fof(f201,plain,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f314,plain,
    ( spl0_31
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f28,plain,
    ! [X56] :
      ( c2_1(X56)
      | hskp23
      | ~ c0_1(X56)
      | ~ c1_1(X56)
      | hskp27
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f890,plain,
    ( spl0_139
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f127,f452,f887]) ).

fof(f452,plain,
    ( spl0_62
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f127,plain,
    ( ~ hskp1
    | c0_1(a401) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f883,plain,
    ( ~ spl0_14
    | spl0_138 ),
    inference(avatar_split_clause,[],[f116,f880,f243]) ).

fof(f243,plain,
    ( spl0_14
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f116,plain,
    ( c2_1(a409)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f878,plain,
    ( ~ spl0_114
    | spl0_3 ),
    inference(avatar_split_clause,[],[f71,f201,f739]) ).

fof(f739,plain,
    ( spl0_114
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f71,plain,
    ( ndr1_0
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f872,plain,
    ( ~ spl0_17
    | spl0_136 ),
    inference(avatar_split_clause,[],[f93,f869,f256]) ).

fof(f256,plain,
    ( spl0_17
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f93,plain,
    ( c0_1(a414)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f867,plain,
    ( spl0_35
    | ~ spl0_3
    | spl0_42
    | spl0_10 ),
    inference(avatar_split_clause,[],[f52,f227,f364,f201,f332]) ).

fof(f332,plain,
    ( spl0_35
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f52,plain,
    ! [X104,X105] :
      ( c2_1(X104)
      | c3_1(X105)
      | ~ ndr1_0
      | ~ c1_1(X104)
      | hskp22
      | ~ c0_1(X105)
      | c2_1(X105)
      | ~ c3_1(X104) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f859,plain,
    ( ~ spl0_134
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f82,f277,f856]) ).

fof(f277,plain,
    ( spl0_22
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f82,plain,
    ( ~ hskp19
    | ~ c0_1(a445) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f852,plain,
    ( ~ spl0_62
    | spl0_133 ),
    inference(avatar_split_clause,[],[f128,f849,f452]) ).

fof(f128,plain,
    ( c1_1(a401)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f846,plain,
    ( spl0_132
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f168,f332,f843]) ).

fof(f168,plain,
    ( ~ hskp22
    | c2_1(a451) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f841,plain,
    ( ~ spl0_131
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f123,f223,f838]) ).

fof(f223,plain,
    ( spl0_9
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f123,plain,
    ( ~ hskp14
    | ~ c0_1(a428) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f836,plain,
    ( spl0_58
    | spl0_80
    | spl0_26
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f70,f201,f295,f540,f434]) ).

fof(f70,plain,
    ! [X38,X39,X37] :
      ( ~ ndr1_0
      | c3_1(X37)
      | c1_1(X38)
      | c2_1(X37)
      | ~ c1_1(X37)
      | c2_1(X39)
      | c0_1(X38)
      | ~ c2_1(X38)
      | c0_1(X39)
      | c3_1(X39) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f835,plain,
    ( ~ spl0_130
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f157,f532,f832]) ).

fof(f532,plain,
    ( spl0_78
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f157,plain,
    ( ~ hskp15
    | ~ c3_1(a430) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f830,plain,
    ( spl0_129
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f156,f532,f827]) ).

fof(f156,plain,
    ( ~ hskp15
    | c0_1(a430) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f818,plain,
    ( ~ spl0_1
    | spl0_127 ),
    inference(avatar_split_clause,[],[f109,f815,f192]) ).

fof(f192,plain,
    ( spl0_1
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f109,plain,
    ( c1_1(a426)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f807,plain,
    ( spl0_30
    | ~ spl0_3
    | spl0_69
    | spl0_53 ),
    inference(avatar_split_clause,[],[f33,f413,f485,f201,f309]) ).

fof(f33,plain,
    ! [X8,X9] :
      ( c1_1(X9)
      | ~ c0_1(X8)
      | ~ c2_1(X9)
      | ~ c2_1(X8)
      | ~ c0_1(X9)
      | ~ ndr1_0
      | hskp3
      | ~ c3_1(X8) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f806,plain,
    ( ~ spl0_125
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f126,f223,f803]) ).

fof(f126,plain,
    ( ~ hskp14
    | ~ c1_1(a428) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f801,plain,
    ( ~ spl0_49
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f97,f798,f396]) ).

fof(f396,plain,
    ( spl0_49
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f97,plain,
    ( ~ c0_1(a427)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f796,plain,
    ( spl0_123
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f125,f223,f793]) ).

fof(f125,plain,
    ( ~ hskp14
    | c2_1(a428) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f791,plain,
    ( ~ spl0_3
    | spl0_57
    | spl0_68
    | spl0_56 ),
    inference(avatar_split_clause,[],[f18,f425,f482,f430,f201]) ).

fof(f430,plain,
    ( spl0_57
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f18,plain,
    ! [X22,X23] :
      ( ~ c3_1(X23)
      | c1_1(X22)
      | ~ c2_1(X23)
      | hskp0
      | c2_1(X22)
      | ~ ndr1_0
      | c0_1(X23)
      | c0_1(X22) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f790,plain,
    ( spl0_38
    | ~ spl0_3
    | spl0_55 ),
    inference(avatar_split_clause,[],[f20,f422,f201,f346]) ).

fof(f346,plain,
    ( spl0_38
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f20,plain,
    ! [X34] :
      ( ~ c0_1(X34)
      | ~ ndr1_0
      | ~ c1_1(X34)
      | hskp20
      | c3_1(X34) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f789,plain,
    ( spl0_122
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f179,f264,f786]) ).

fof(f264,plain,
    ( spl0_19
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f179,plain,
    ( ~ hskp9
    | c3_1(a416) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f779,plain,
    ( ~ spl0_120
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f175,f208,f776]) ).

fof(f208,plain,
    ( spl0_5
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f175,plain,
    ( ~ hskp10
    | ~ c0_1(a418) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f769,plain,
    ( ~ spl0_3
    | spl0_51
    | spl0_8
    | spl0_42 ),
    inference(avatar_split_clause,[],[f45,f364,f219,f406,f201]) ).

fof(f45,plain,
    ! [X14,X12,X13] :
      ( c2_1(X14)
      | c1_1(X12)
      | ~ c0_1(X14)
      | ~ c2_1(X12)
      | ~ c3_1(X13)
      | ~ c3_1(X12)
      | ~ ndr1_0
      | c2_1(X13)
      | c3_1(X14)
      | c1_1(X13) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f763,plain,
    ( ~ spl0_3
    | spl0_62
    | spl0_1
    | spl0_20 ),
    inference(avatar_split_clause,[],[f9,f268,f192,f452,f201]) ).

fof(f9,plain,
    ! [X26] :
      ( c1_1(X26)
      | hskp12
      | hskp1
      | ~ c0_1(X26)
      | ~ ndr1_0
      | c3_1(X26) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f762,plain,
    ( ~ spl0_28
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f166,f759,f302]) ).

fof(f302,plain,
    ( spl0_28
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f166,plain,
    ( ~ c2_1(a404)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f757,plain,
    ( spl0_25
    | ~ spl0_3
    | spl0_26
    | spl0_41 ),
    inference(avatar_split_clause,[],[f32,f360,f295,f201,f291]) ).

fof(f291,plain,
    ( spl0_25
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f360,plain,
    ( spl0_41
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f32,plain,
    ! [X30] :
      ( hskp2
      | c3_1(X30)
      | ~ ndr1_0
      | hskp7
      | ~ c1_1(X30)
      | c2_1(X30) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f756,plain,
    ( ~ spl0_116
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f186,f360,f753]) ).

fof(f186,plain,
    ( ~ hskp2
    | ~ c2_1(a402) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f750,plain,
    ( spl0_115
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f154,f346,f747]) ).

fof(f154,plain,
    ( ~ hskp20
    | c3_1(a449) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f745,plain,
    ( spl0_35
    | ~ spl0_3
    | spl0_69
    | spl0_12 ),
    inference(avatar_split_clause,[],[f51,f234,f485,f201,f332]) ).

fof(f234,plain,
    ( spl0_12
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f51,plain,
    ! [X84] :
      ( hskp11
      | ~ c0_1(X84)
      | ~ ndr1_0
      | ~ c3_1(X84)
      | hskp22
      | ~ c2_1(X84) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f744,plain,
    ( ~ spl0_66
    | spl0_3 ),
    inference(avatar_split_clause,[],[f140,f201,f472]) ).

fof(f472,plain,
    ( spl0_66
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f140,plain,
    ( ndr1_0
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f742,plain,
    ( spl0_66
    | spl0_36
    | spl0_114 ),
    inference(avatar_split_clause,[],[f190,f739,f337,f472]) ).

fof(f337,plain,
    ( spl0_36
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f190,plain,
    ( hskp24
    | hskp25
    | hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f736,plain,
    ( ~ spl0_25
    | spl0_113 ),
    inference(avatar_split_clause,[],[f83,f733,f291]) ).

fof(f83,plain,
    ( c0_1(a410)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f730,plain,
    ( ~ spl0_112
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f131,f234,f727]) ).

fof(f131,plain,
    ( ~ hskp11
    | ~ c2_1(a420) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f725,plain,
    ( spl0_111
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f178,f208,f722]) ).

fof(f178,plain,
    ( ~ hskp10
    | c1_1(a418) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f720,plain,
    ( ~ spl0_59
    | spl0_110 ),
    inference(avatar_split_clause,[],[f113,f717,f437]) ).

fof(f113,plain,
    ( c1_1(a412)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f710,plain,
    ( ~ spl0_28
    | spl0_108 ),
    inference(avatar_split_clause,[],[f165,f707,f302]) ).

fof(f165,plain,
    ( c0_1(a404)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f705,plain,
    ( spl0_107
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f114,f437,f702]) ).

fof(f114,plain,
    ( ~ hskp27
    | c2_1(a412) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f692,plain,
    ( ~ spl0_19
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f181,f689,f264]) ).

fof(f181,plain,
    ( ~ c1_1(a416)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f687,plain,
    ( ~ spl0_3
    | spl0_55
    | spl0_28
    | spl0_27 ),
    inference(avatar_split_clause,[],[f21,f298,f302,f422,f201]) ).

fof(f21,plain,
    ! [X58,X59] :
      ( c0_1(X59)
      | ~ c3_1(X59)
      | hskp4
      | c1_1(X59)
      | ~ c1_1(X58)
      | ~ c0_1(X58)
      | c3_1(X58)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f686,plain,
    ( spl0_104
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f92,f256,f683]) ).

fof(f92,plain,
    ( ~ hskp28
    | c2_1(a414) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f680,plain,
    ( ~ spl0_3
    | spl0_102
    | spl0_103
    | spl0_79 ),
    inference(avatar_split_clause,[],[f69,f537,f678,f675,f201]) ).

fof(f69,plain,
    ! [X82,X83,X81] :
      ( c2_1(X83)
      | ~ c2_1(X82)
      | ~ c1_1(X82)
      | ~ c1_1(X81)
      | c2_1(X81)
      | ~ c0_1(X81)
      | ~ c0_1(X83)
      | ~ c0_1(X82)
      | ~ ndr1_0
      | c1_1(X83) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f668,plain,
    ( ~ spl0_100
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f86,f291,f665]) ).

fof(f86,plain,
    ( ~ hskp7
    | ~ c1_1(a410) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f663,plain,
    ( ~ spl0_57
    | spl0_99 ),
    inference(avatar_split_clause,[],[f150,f660,f430]) ).

fof(f150,plain,
    ( c1_1(a400)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f658,plain,
    ( ~ spl0_3
    | spl0_51
    | spl0_27
    | spl0_11 ),
    inference(avatar_split_clause,[],[f63,f230,f298,f406,f201]) ).

fof(f63,plain,
    ! [X28,X29,X27] :
      ( c3_1(X28)
      | ~ c3_1(X27)
      | c2_1(X29)
      | c1_1(X29)
      | c0_1(X27)
      | c0_1(X28)
      | c1_1(X27)
      | ~ c2_1(X28)
      | ~ ndr1_0
      | ~ c3_1(X29) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f654,plain,
    ( spl0_98
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f81,f277,f651]) ).

fof(f81,plain,
    ( ~ hskp19
    | c1_1(a445) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f648,plain,
    ( ~ spl0_97
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f152,f346,f645]) ).

fof(f152,plain,
    ( ~ hskp20
    | ~ c2_1(a449) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f643,plain,
    ( spl0_96
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f185,f360,f640]) ).

fof(f185,plain,
    ( ~ hskp2
    | c0_1(a402) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f638,plain,
    ( spl0_95
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f149,f430,f635]) ).

fof(f149,plain,
    ( ~ hskp0
    | c2_1(a400) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f633,plain,
    ( spl0_7
    | spl0_20
    | spl0_62
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f44,f201,f452,f268,f216]) ).

fof(f44,plain,
    ! [X62,X63] :
      ( ~ ndr1_0
      | hskp1
      | c3_1(X63)
      | ~ c2_1(X62)
      | ~ c1_1(X62)
      | c0_1(X62)
      | c1_1(X63)
      | ~ c0_1(X63) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f632,plain,
    ( ~ spl0_62
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f129,f629,f452]) ).

fof(f129,plain,
    ( ~ c3_1(a401)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f627,plain,
    ( ~ spl0_93
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f84,f291,f624]) ).

fof(f84,plain,
    ( ~ hskp7
    | ~ c3_1(a410) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f622,plain,
    ( ~ spl0_92
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f105,f314,f619]) ).

fof(f105,plain,
    ( ~ hskp23
    | ~ c3_1(a460) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f616,plain,
    ( ~ spl0_91
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f118,f243,f613]) ).

fof(f118,plain,
    ( ~ hskp6
    | ~ c3_1(a409) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f609,plain,
    ( ~ spl0_90
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f147,f430,f606]) ).

fof(f147,plain,
    ( ~ hskp0
    | ~ c3_1(a400) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f599,plain,
    ( spl0_88
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f95,f396,f596]) ).

fof(f95,plain,
    ( ~ hskp13
    | c2_1(a427) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f593,plain,
    ( ~ spl0_3
    | spl0_49
    | spl0_41
    | spl0_10 ),
    inference(avatar_split_clause,[],[f27,f227,f360,f396,f201]) ).

fof(f27,plain,
    ! [X103] :
      ( c2_1(X103)
      | hskp2
      | ~ c1_1(X103)
      | hskp13
      | ~ c3_1(X103)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f590,plain,
    ( spl0_17
    | ~ spl0_3
    | spl0_51
    | spl0_46 ),
    inference(avatar_split_clause,[],[f15,f383,f406,f201,f256]) ).

fof(f15,plain,
    ! [X52,X53] :
      ( c2_1(X52)
      | ~ c1_1(X52)
      | c1_1(X53)
      | ~ c3_1(X53)
      | c0_1(X52)
      | c2_1(X53)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f584,plain,
    ( spl0_86
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f158,f532,f581]) ).

fof(f158,plain,
    ( ~ hskp15
    | c2_1(a430) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f573,plain,
    ( ~ spl0_3
    | spl0_22
    | spl0_69
    | spl0_74 ),
    inference(avatar_split_clause,[],[f11,f511,f485,f277,f201]) ).

fof(f11,plain,
    ! [X32,X33] :
      ( c3_1(X32)
      | ~ c2_1(X33)
      | c1_1(X32)
      | ~ c2_1(X32)
      | hskp19
      | ~ ndr1_0
      | ~ c0_1(X33)
      | ~ c3_1(X33) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f572,plain,
    ( ~ spl0_84
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f145,f309,f569]) ).

fof(f145,plain,
    ( ~ hskp3
    | ~ c0_1(a403) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f567,plain,
    ( spl0_19
    | spl0_79
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f10,f230,f201,f537,f264]) ).

fof(f10,plain,
    ! [X72,X73] :
      ( c3_1(X73)
      | ~ ndr1_0
      | c2_1(X72)
      | c1_1(X72)
      | ~ c2_1(X73)
      | ~ c0_1(X72)
      | hskp9
      | c0_1(X73) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f561,plain,
    ( spl0_78
    | spl0_14
    | spl0_7
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f8,f201,f216,f243,f532]) ).

fof(f8,plain,
    ! [X6] :
      ( ~ ndr1_0
      | ~ c2_1(X6)
      | hskp6
      | hskp15
      | ~ c1_1(X6)
      | c0_1(X6) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f560,plain,
    ( spl0_1
    | spl0_75
    | spl0_19
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f64,f201,f264,f517,f192]) ).

fof(f64,plain,
    ! [X57] :
      ( ~ ndr1_0
      | hskp9
      | ~ c3_1(X57)
      | c2_1(X57)
      | ~ c0_1(X57)
      | hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f559,plain,
    ( spl0_55
    | ~ spl0_3
    | spl0_74 ),
    inference(avatar_split_clause,[],[f53,f511,f201,f422]) ).

fof(f53,plain,
    ! [X54,X55] :
      ( c1_1(X54)
      | ~ ndr1_0
      | ~ c0_1(X55)
      | c3_1(X55)
      | c3_1(X54)
      | ~ c2_1(X54)
      | ~ c1_1(X55) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f558,plain,
    ( spl0_62
    | spl0_41
    | ~ spl0_3
    | spl0_68 ),
    inference(avatar_split_clause,[],[f35,f482,f201,f360,f452]) ).

fof(f35,plain,
    ! [X101] :
      ( c0_1(X101)
      | ~ ndr1_0
      | hskp2
      | c2_1(X101)
      | c1_1(X101)
      | hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f554,plain,
    ( ~ spl0_41
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f184,f551,f360]) ).

fof(f184,plain,
    ( ~ c1_1(a402)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f542,plain,
    ( spl0_79
    | spl0_80
    | spl0_29
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f43,f201,f306,f540,f537]) ).

fof(f43,plain,
    ! [X18,X19,X17] :
      ( ~ ndr1_0
      | ~ c0_1(X18)
      | c0_1(X17)
      | c1_1(X18)
      | c1_1(X17)
      | c1_1(X19)
      | ~ c0_1(X19)
      | ~ c2_1(X17)
      | ~ c3_1(X18)
      | c2_1(X19) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f535,plain,
    ( spl0_78
    | spl0_25
    | spl0_30 ),
    inference(avatar_split_clause,[],[f189,f309,f291,f532]) ).

fof(f189,plain,
    ( hskp3
    | hskp7
    | hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f530,plain,
    ( ~ spl0_28
    | spl0_77 ),
    inference(avatar_split_clause,[],[f163,f527,f302]) ).

fof(f163,plain,
    ( c3_1(a404)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f519,plain,
    ( spl0_25
    | spl0_23
    | ~ spl0_3
    | spl0_75 ),
    inference(avatar_split_clause,[],[f66,f517,f201,f282,f291]) ).

fof(f282,plain,
    ( spl0_23
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f66,plain,
    ! [X5] :
      ( ~ c0_1(X5)
      | ~ ndr1_0
      | c2_1(X5)
      | hskp16
      | hskp7
      | ~ c3_1(X5) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f514,plain,
    ( spl0_19
    | ~ spl0_3
    | spl0_28
    | spl0_69 ),
    inference(avatar_split_clause,[],[f50,f485,f302,f201,f264]) ).

fof(f50,plain,
    ! [X45] :
      ( ~ c3_1(X45)
      | hskp4
      | ~ ndr1_0
      | ~ c0_1(X45)
      | ~ c2_1(X45)
      | hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f509,plain,
    ( ~ spl0_73
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f177,f208,f506]) ).

fof(f177,plain,
    ( ~ hskp10
    | ~ c2_1(a418) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f493,plain,
    ( spl0_5
    | ~ spl0_3
    | spl0_10
    | spl0_52 ),
    inference(avatar_split_clause,[],[f38,f410,f227,f201,f208]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | hskp10
      | c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X1)
      | c2_1(X1) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f492,plain,
    ( spl0_70
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f167,f332,f489]) ).

fof(f167,plain,
    ( ~ hskp22
    | c0_1(a451) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f487,plain,
    ( ~ spl0_3
    | spl0_68
    | spl0_69
    | spl0_55 ),
    inference(avatar_split_clause,[],[f29,f422,f485,f482,f201]) ).

fof(f29,plain,
    ! [X98,X99,X100] :
      ( c3_1(X99)
      | ~ c2_1(X98)
      | ~ c1_1(X99)
      | ~ c0_1(X99)
      | c0_1(X100)
      | c1_1(X100)
      | ~ c0_1(X98)
      | ~ c3_1(X98)
      | c2_1(X100)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f480,plain,
    ( ~ spl0_1
    | spl0_67 ),
    inference(avatar_split_clause,[],[f108,f477,f192]) ).

fof(f108,plain,
    ( c0_1(a426)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f470,plain,
    ( ~ spl0_3
    | spl0_65
    | spl0_29 ),
    inference(avatar_split_clause,[],[f26,f306,f468,f201]) ).

fof(f26,plain,
    ! [X2,X3] :
      ( ~ c0_1(X3)
      | ~ c3_1(X3)
      | ~ c3_1(X2)
      | ~ ndr1_0
      | c1_1(X3)
      | c0_1(X2)
      | ~ c1_1(X2) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f466,plain,
    ( ~ spl0_19
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f182,f463,f264]) ).

fof(f182,plain,
    ( ~ c0_1(a416)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f455,plain,
    ( ~ spl0_3
    | spl0_56
    | spl0_62
    | spl0_11 ),
    inference(avatar_split_clause,[],[f34,f230,f452,f425,f201]) ).

fof(f34,plain,
    ! [X46,X47] :
      ( c3_1(X46)
      | hskp1
      | c0_1(X47)
      | ~ c2_1(X46)
      | ~ ndr1_0
      | c0_1(X46)
      | ~ c2_1(X47)
      | ~ c3_1(X47) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f450,plain,
    ( spl0_61
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f104,f314,f447]) ).

fof(f104,plain,
    ( ~ hskp23
    | c1_1(a460) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f440,plain,
    ( spl0_57
    | spl0_58
    | ~ spl0_3
    | spl0_59 ),
    inference(avatar_split_clause,[],[f47,f437,f201,f434,f430]) ).

fof(f47,plain,
    ! [X60] :
      ( hskp27
      | ~ ndr1_0
      | c3_1(X60)
      | hskp0
      | c0_1(X60)
      | c2_1(X60) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f427,plain,
    ( spl0_12
    | ~ spl0_3
    | spl0_55
    | spl0_56 ),
    inference(avatar_split_clause,[],[f58,f425,f422,f201,f234]) ).

fof(f58,plain,
    ! [X65,X64] :
      ( ~ c2_1(X65)
      | c3_1(X64)
      | ~ ndr1_0
      | hskp11
      | c0_1(X65)
      | ~ c0_1(X64)
      | ~ c3_1(X65)
      | ~ c1_1(X64) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f404,plain,
    ( ~ spl0_23
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f135,f401,f282]) ).

fof(f135,plain,
    ( ~ c3_1(a434)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f399,plain,
    ( spl0_48
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f96,f396,f392]) ).

fof(f96,plain,
    ( ~ hskp13
    | c1_1(a427) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f390,plain,
    ( ~ spl0_47
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f120,f355,f387]) ).

fof(f120,plain,
    ( ~ hskp8
    | ~ c1_1(a415) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f385,plain,
    ( spl0_40
    | spl0_19
    | ~ spl0_3
    | spl0_46 ),
    inference(avatar_split_clause,[],[f19,f383,f201,f264,f355]) ).

fof(f19,plain,
    ! [X106] :
      ( ~ c1_1(X106)
      | c2_1(X106)
      | ~ ndr1_0
      | hskp9
      | c0_1(X106)
      | hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f376,plain,
    ( ~ spl0_44
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f137,f282,f373]) ).

fof(f137,plain,
    ( ~ hskp16
    | ~ c0_1(a434) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f371,plain,
    ( ~ spl0_12
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f133,f368,f234]) ).

fof(f133,plain,
    ( ~ c1_1(a420)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f366,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_41
    | spl0_42 ),
    inference(avatar_split_clause,[],[f68,f364,f360,f234,f201]) ).

fof(f68,plain,
    ! [X61] :
      ( c3_1(X61)
      | ~ c0_1(X61)
      | c2_1(X61)
      | hskp2
      | hskp11
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f358,plain,
    ( spl0_39
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f121,f355,f351]) ).

fof(f121,plain,
    ( ~ hskp8
    | c3_1(a415) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f349,plain,
    ( spl0_37
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f151,f346,f342]) ).

fof(f151,plain,
    ( ~ hskp20
    | c1_1(a449) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f340,plain,
    ( ~ spl0_36
    | spl0_3 ),
    inference(avatar_split_clause,[],[f77,f201,f337]) ).

fof(f77,plain,
    ( ndr1_0
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f335,plain,
    ( ~ spl0_34
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f170,f332,f328]) ).

fof(f170,plain,
    ( ~ hskp22
    | ~ c1_1(a451) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f321,plain,
    ( ~ spl0_31
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f103,f318,f314]) ).

fof(f103,plain,
    ( ~ c2_1(a460)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f300,plain,
    ( spl0_25
    | ~ spl0_3
    | spl0_26
    | spl0_27 ),
    inference(avatar_split_clause,[],[f14,f298,f295,f201,f291]) ).

fof(f14,plain,
    ! [X36,X35] :
      ( c1_1(X36)
      | c3_1(X35)
      | ~ c3_1(X36)
      | ~ ndr1_0
      | ~ c1_1(X35)
      | hskp7
      | c0_1(X36)
      | c2_1(X35) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f289,plain,
    ( ~ spl0_23
    | spl0_24 ),
    inference(avatar_split_clause,[],[f138,f286,f282]) ).

fof(f138,plain,
    ( c1_1(a434)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f280,plain,
    ( spl0_21
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f80,f277,f273]) ).

fof(f80,plain,
    ( ~ hskp19
    | c3_1(a445) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f270,plain,
    ( spl0_18
    | ~ spl0_3
    | spl0_19
    | spl0_20 ),
    inference(avatar_split_clause,[],[f41,f268,f264,f201,f261]) ).

fof(f41,plain,
    ! [X48,X49] :
      ( c3_1(X48)
      | hskp9
      | ~ ndr1_0
      | c1_1(X48)
      | ~ c3_1(X49)
      | ~ c2_1(X49)
      | ~ c1_1(X49)
      | ~ c0_1(X48) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f259,plain,
    ( spl0_16
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f94,f256,f252]) ).

fof(f94,plain,
    ( ~ hskp28
    | c3_1(a414) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f250,plain,
    ( ~ spl0_14
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f115,f247,f243]) ).

fof(f115,plain,
    ( ~ c0_1(a409)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f241,plain,
    ( ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f134,f238,f234]) ).

fof(f134,plain,
    ( ~ c0_1(a420)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f232,plain,
    ( spl0_9
    | ~ spl0_3
    | spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f56,f230,f227,f201,f223]) ).

fof(f56,plain,
    ! [X21,X20] :
      ( c0_1(X20)
      | c2_1(X21)
      | ~ c1_1(X21)
      | ~ ndr1_0
      | c3_1(X20)
      | hskp14
      | ~ c3_1(X21)
      | ~ c2_1(X20) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f221,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f59,f219,f216,f213,f201]) ).

fof(f59,plain,
    ! [X91,X92,X93] :
      ( c1_1(X91)
      | c0_1(X93)
      | ~ c2_1(X93)
      | ~ c1_1(X93)
      | ~ c2_1(X92)
      | ~ c2_1(X91)
      | c3_1(X92)
      | ~ ndr1_0
      | ~ c3_1(X91)
      | ~ c0_1(X92) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f211,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f31,f208,f205,f201,f192]) ).

fof(f31,plain,
    ! [X31] :
      ( hskp10
      | c3_1(X31)
      | ~ ndr1_0
      | ~ c1_1(X31)
      | hskp12
      | ~ c2_1(X31) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f199,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f110,f196,f192]) ).

fof(f110,plain,
    ( ~ c2_1(a426)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : SYN469+1 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.12  % 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 : n008.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 22:01:10 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.49  % (29642)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.49  % (29632)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)
% 0.18/0.50  % (29647)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.50  % (29643)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.50  % (29657)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.51  % (29649)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)
% 0.18/0.51  % (29635)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  % (29633)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)
% 0.18/0.51  % (29631)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  % (29644)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)
% 0.18/0.52  % (29634)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52  Detected maximum model sizes of [29]
% 0.18/0.52  % (29630)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)
% 0.18/0.52  % (29655)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.52  % (29639)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  % (29636)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)
% 0.18/0.52  % (29656)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)
% 0.18/0.52  % (29648)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.53  % (29646)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)
% 0.18/0.53  % (29651)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  % (29645)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)
% 0.18/0.53  % (29659)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)
% 0.18/0.53  Detected maximum model sizes of [29]
% 0.18/0.53  % (29658)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  TRYING [1]
% 0.18/0.53  % (29652)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)
% 0.18/0.53  % (29638)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.53  % (29640)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.53  % (29637)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.53  % (29638)Instruction limit reached!
% 0.18/0.53  % (29638)------------------------------
% 0.18/0.53  % (29638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (29638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (29638)Termination reason: Unknown
% 0.18/0.53  % (29638)Termination phase: shuffling
% 0.18/0.53  
% 0.18/0.53  % (29638)Memory used [KB]: 1151
% 0.18/0.53  % (29638)Time elapsed: 0.002 s
% 0.18/0.53  % (29638)Instructions burned: 2 (million)
% 0.18/0.53  % (29638)------------------------------
% 0.18/0.53  % (29638)------------------------------
% 0.18/0.53  TRYING [1]
% 0.18/0.53  TRYING [2]
% 0.18/0.53  TRYING [2]
% 0.18/0.54  TRYING [3]
% 0.18/0.54  TRYING [3]
% 0.18/0.54  % (29653)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)
% 0.18/0.54  % (29654)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.54  % (29632)Instruction limit reached!
% 0.18/0.54  % (29632)------------------------------
% 0.18/0.54  % (29632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (29632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (29632)Termination reason: Unknown
% 0.18/0.54  % (29632)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (29632)Memory used [KB]: 1535
% 0.18/0.54  % (29632)Time elapsed: 0.146 s
% 0.18/0.54  % (29632)Instructions burned: 37 (million)
% 0.18/0.54  % (29632)------------------------------
% 0.18/0.54  % (29632)------------------------------
% 0.18/0.54  % (29650)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)
% 0.18/0.54  % (29641)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)
% 0.18/0.55  TRYING [4]
% 0.18/0.55  Detected maximum model sizes of [29]
% 0.18/0.55  TRYING [4]
% 0.18/0.55  % (29637)Instruction limit reached!
% 0.18/0.55  % (29637)------------------------------
% 0.18/0.55  % (29637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (29637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (29637)Termination reason: Unknown
% 0.18/0.55  % (29637)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (29637)Memory used [KB]: 6140
% 0.18/0.55  % (29637)Time elapsed: 0.006 s
% 0.18/0.55  % (29637)Instructions burned: 9 (million)
% 0.18/0.55  % (29637)------------------------------
% 0.18/0.55  % (29637)------------------------------
% 0.18/0.56  TRYING [1]
% 0.18/0.56  TRYING [2]
% 0.18/0.56  TRYING [3]
% 0.18/0.57  % (29633)First to succeed.
% 0.18/0.57  TRYING [4]
% 0.18/0.58  % (29647)Instruction limit reached!
% 0.18/0.58  % (29647)------------------------------
% 0.18/0.58  % (29647)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58  % (29647)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58  % (29647)Termination reason: Unknown
% 0.18/0.58  % (29647)Termination phase: Finite model building SAT solving
% 0.18/0.58  
% 0.18/0.58  % (29647)Memory used [KB]: 6268
% 0.18/0.58  % (29647)Time elapsed: 0.165 s
% 0.18/0.58  % (29647)Instructions burned: 60 (million)
% 0.18/0.58  % (29647)------------------------------
% 0.18/0.58  % (29647)------------------------------
% 1.89/0.59  % (29631)Refutation not found, incomplete strategy% (29631)------------------------------
% 1.89/0.59  % (29631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.59  % (29631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.59  % (29631)Termination reason: Refutation not found, incomplete strategy
% 1.89/0.59  
% 1.89/0.59  % (29631)Memory used [KB]: 6652
% 1.89/0.59  % (29631)Time elapsed: 0.177 s
% 1.89/0.59  % (29631)Instructions burned: 37 (million)
% 1.89/0.59  % (29631)------------------------------
% 1.89/0.59  % (29631)------------------------------
% 1.89/0.60  TRYING [5]
% 1.89/0.60  % (29635)Instruction limit reached!
% 1.89/0.60  % (29635)------------------------------
% 1.89/0.60  % (29635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.60  % (29635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.60  % (29635)Termination reason: Unknown
% 1.89/0.60  % (29635)Termination phase: Saturation
% 1.89/0.60  
% 1.89/0.60  % (29635)Memory used [KB]: 7036
% 1.89/0.60  % (29635)Time elapsed: 0.190 s
% 1.89/0.60  % (29635)Instructions burned: 49 (million)
% 1.89/0.60  % (29635)------------------------------
% 1.89/0.60  % (29635)------------------------------
% 1.89/0.60  % (29639)Instruction limit reached!
% 1.89/0.60  % (29639)------------------------------
% 1.89/0.60  % (29639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.60  % (29639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.60  % (29639)Termination reason: Unknown
% 1.89/0.60  % (29639)Termination phase: Saturation
% 1.89/0.60  
% 1.89/0.60  % (29639)Memory used [KB]: 1535
% 1.89/0.60  % (29639)Time elapsed: 0.206 s
% 1.89/0.60  % (29639)Instructions burned: 52 (million)
% 1.89/0.60  % (29639)------------------------------
% 1.89/0.60  % (29639)------------------------------
% 2.03/0.61  % (29641)Also succeeded, but the first one will report.
% 2.03/0.61  % (29636)Instruction limit reached!
% 2.03/0.61  % (29636)------------------------------
% 2.03/0.61  % (29636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.61  % (29636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.61  % (29636)Termination reason: Unknown
% 2.03/0.61  % (29636)Termination phase: Finite model building SAT solving
% 2.03/0.61  
% 2.03/0.61  % (29636)Memory used [KB]: 6396
% 2.03/0.61  % (29636)Time elapsed: 0.111 s
% 2.03/0.61  % (29636)Instructions burned: 52 (million)
% 2.03/0.61  % (29636)------------------------------
% 2.03/0.61  % (29636)------------------------------
% 2.03/0.61  % (29640)Instruction limit reached!
% 2.03/0.61  % (29640)------------------------------
% 2.03/0.61  % (29640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.61  % (29640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.61  % (29640)Termination reason: Unknown
% 2.03/0.61  % (29640)Termination phase: Saturation
% 2.03/0.61  
% 2.03/0.61  % (29640)Memory used [KB]: 6908
% 2.03/0.61  % (29640)Time elapsed: 0.222 s
% 2.03/0.61  % (29640)Instructions burned: 52 (million)
% 2.03/0.61  % (29640)------------------------------
% 2.03/0.61  % (29640)------------------------------
% 2.03/0.61  % (29633)Refutation found. Thanks to Tanya!
% 2.03/0.61  % SZS status Theorem for theBenchmark
% 2.03/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 2.03/0.62  % (29633)------------------------------
% 2.03/0.62  % (29633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.62  % (29633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.62  % (29633)Termination reason: Refutation
% 2.03/0.62  
% 2.03/0.62  % (29633)Memory used [KB]: 7164
% 2.03/0.62  % (29633)Time elapsed: 0.162 s
% 2.03/0.62  % (29633)Instructions burned: 33 (million)
% 2.03/0.62  % (29633)------------------------------
% 2.03/0.62  % (29633)------------------------------
% 2.03/0.62  % (29629)Success in time 0.273 s
%------------------------------------------------------------------------------