TSTP Solution File: SYN512+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN512+1 : TPTP v8.2.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 08:36:32 EDT 2024

% Result   : Theorem 0.22s 0.45s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  144
% Syntax   : Number of formulae    :  815 (   1 unt;   0 def)
%            Number of atoms       : 7306 (   0 equ)
%            Maximal formula atoms :  730 (   8 avg)
%            Number of connectives : 9884 (3393   ~;4664   |;1236   &)
%                                         ( 143 <=>; 448  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  118 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  181 ( 180 usr; 177 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  885 ( 885   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3572,plain,
    $false,
    inference(avatar_sat_refutation,[],[f287,f300,f328,f342,f371,f375,f379,f387,f388,f389,f397,f404,f412,f429,f438,f439,f443,f447,f451,f452,f456,f460,f461,f462,f466,f467,f469,f470,f474,f475,f476,f477,f486,f494,f498,f499,f504,f505,f510,f515,f516,f517,f522,f531,f533,f548,f564,f569,f574,f580,f585,f590,f596,f601,f606,f612,f617,f622,f660,f665,f670,f676,f681,f686,f692,f697,f702,f708,f713,f718,f740,f745,f756,f761,f766,f772,f777,f782,f788,f793,f798,f799,f804,f809,f814,f815,f820,f825,f830,f836,f841,f846,f852,f857,f862,f884,f889,f894,f900,f910,f916,f921,f926,f937,f942,f948,f953,f958,f964,f969,f980,f985,f990,f996,f1001,f1006,f1017,f1022,f1028,f1033,f1038,f1039,f1060,f1065,f1070,f1075,f1133,f1141,f1163,f1172,f1191,f1207,f1216,f1221,f1223,f1226,f1258,f1292,f1305,f1355,f1367,f1382,f1387,f1395,f1434,f1457,f1459,f1517,f1540,f1614,f1628,f1639,f1687,f1767,f1794,f1839,f1840,f1843,f1844,f1854,f1884,f1926,f1929,f1934,f1969,f1971,f2020,f2086,f2122,f2130,f2161,f2253,f2372,f2375,f2376,f2397,f2481,f2490,f2518,f2529,f2531,f2569,f2571,f2606,f2626,f2666,f2694,f2701,f2798,f2824,f2906,f2986,f3060,f3082,f3098,f3101,f3147,f3148,f3175,f3190,f3248,f3352,f3357,f3378,f3496,f3498,f3499,f3502,f3518,f3568,f3571]) ).

fof(f3571,plain,
    ( ~ spl0_22
    | ~ spl0_88
    | ~ spl0_89
    | ~ spl0_178 ),
    inference(avatar_contradiction_clause,[],[f3570]) ).

fof(f3570,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_88
    | ~ spl0_89
    | ~ spl0_178 ),
    inference(subsumption_resolution,[],[f3569,f685]) ).

fof(f685,plain,
    ( c1_1(a884)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f683,plain,
    ( spl0_89
  <=> c1_1(a884) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f3569,plain,
    ( ~ c1_1(a884)
    | ~ spl0_22
    | ~ spl0_88
    | ~ spl0_178 ),
    inference(subsumption_resolution,[],[f3554,f680]) ).

fof(f680,plain,
    ( c3_1(a884)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f678,plain,
    ( spl0_88
  <=> c3_1(a884) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f3554,plain,
    ( ~ c3_1(a884)
    | ~ c1_1(a884)
    | ~ spl0_22
    | ~ spl0_178 ),
    inference(resolution,[],[f349,f2693]) ).

fof(f2693,plain,
    ( c0_1(a884)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f2691]) ).

fof(f2691,plain,
    ( spl0_178
  <=> c0_1(a884) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f349,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f348,plain,
    ( spl0_22
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f3568,plain,
    ( ~ spl0_22
    | ~ spl0_103
    | ~ spl0_104
    | ~ spl0_163 ),
    inference(avatar_contradiction_clause,[],[f3567]) ).

fof(f3567,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_103
    | ~ spl0_104
    | ~ spl0_163 ),
    inference(subsumption_resolution,[],[f3566,f1257]) ).

fof(f1257,plain,
    ( c1_1(a863)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1255]) ).

fof(f1255,plain,
    ( spl0_163
  <=> c1_1(a863) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f3566,plain,
    ( ~ c1_1(a863)
    | ~ spl0_22
    | ~ spl0_103
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f3552,f760]) ).

fof(f760,plain,
    ( c3_1(a863)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f758,plain,
    ( spl0_103
  <=> c3_1(a863) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f3552,plain,
    ( ~ c3_1(a863)
    | ~ c1_1(a863)
    | ~ spl0_22
    | ~ spl0_104 ),
    inference(resolution,[],[f349,f765]) ).

fof(f765,plain,
    ( c0_1(a863)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f763]) ).

fof(f763,plain,
    ( spl0_104
  <=> c0_1(a863) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f3518,plain,
    ( ~ spl0_180
    | spl0_114
    | ~ spl0_55
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f3415,f827,f496,f817,f2713]) ).

fof(f2713,plain,
    ( spl0_180
  <=> c2_1(a853) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f817,plain,
    ( spl0_114
  <=> c0_1(a853) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f496,plain,
    ( spl0_55
  <=> ! [X59] :
        ( ~ c2_1(X59)
        | c0_1(X59)
        | ~ c1_1(X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f827,plain,
    ( spl0_116
  <=> c1_1(a853) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f3415,plain,
    ( c0_1(a853)
    | ~ c2_1(a853)
    | ~ spl0_55
    | ~ spl0_116 ),
    inference(resolution,[],[f497,f829]) ).

fof(f829,plain,
    ( c1_1(a853)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f497,plain,
    ( ! [X59] :
        ( ~ c1_1(X59)
        | c0_1(X59)
        | ~ c2_1(X59) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f3502,plain,
    ( ~ spl0_183
    | ~ spl0_29
    | spl0_153
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f3501,f1035,f1025,f377,f3354]) ).

fof(f3354,plain,
    ( spl0_183
  <=> c3_1(a830) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f377,plain,
    ( spl0_29
  <=> ! [X5] :
        ( ~ c3_1(X5)
        | c2_1(X5)
        | ~ c0_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1025,plain,
    ( spl0_153
  <=> c2_1(a830) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1035,plain,
    ( spl0_155
  <=> c0_1(a830) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f3501,plain,
    ( ~ c3_1(a830)
    | ~ spl0_29
    | spl0_153
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f3259,f1027]) ).

fof(f1027,plain,
    ( ~ c2_1(a830)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f1025]) ).

fof(f3259,plain,
    ( c2_1(a830)
    | ~ c3_1(a830)
    | ~ spl0_29
    | ~ spl0_155 ),
    inference(resolution,[],[f1037,f378]) ).

fof(f378,plain,
    ( ! [X5] :
        ( ~ c0_1(X5)
        | c2_1(X5)
        | ~ c3_1(X5) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f1037,plain,
    ( c0_1(a830)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1035]) ).

fof(f3499,plain,
    ( spl0_126
    | ~ spl0_29
    | ~ spl0_58
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f3328,f891,f512,f377,f881]) ).

fof(f881,plain,
    ( spl0_126
  <=> c2_1(a844) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f512,plain,
    ( spl0_58
  <=> ! [X71] :
        ( ~ c3_1(X71)
        | c0_1(X71)
        | c2_1(X71) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f891,plain,
    ( spl0_128
  <=> c3_1(a844) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f3328,plain,
    ( c2_1(a844)
    | ~ spl0_29
    | ~ spl0_58
    | ~ spl0_128 ),
    inference(resolution,[],[f893,f3106]) ).

fof(f3106,plain,
    ( ! [X71] :
        ( ~ c3_1(X71)
        | c2_1(X71) )
    | ~ spl0_29
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f513,f378]) ).

fof(f513,plain,
    ( ! [X71] :
        ( ~ c3_1(X71)
        | c0_1(X71)
        | c2_1(X71) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f893,plain,
    ( c3_1(a844)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f3498,plain,
    ( ~ spl0_29
    | ~ spl0_58
    | ~ spl0_61
    | spl0_99
    | spl0_100 ),
    inference(avatar_contradiction_clause,[],[f3497]) ).

fof(f3497,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_58
    | ~ spl0_61
    | spl0_99
    | spl0_100 ),
    inference(subsumption_resolution,[],[f3487,f739]) ).

fof(f739,plain,
    ( ~ c2_1(a864)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f737,plain,
    ( spl0_99
  <=> c2_1(a864) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f3487,plain,
    ( c2_1(a864)
    | ~ spl0_29
    | ~ spl0_58
    | ~ spl0_61
    | spl0_100 ),
    inference(resolution,[],[f3476,f744]) ).

fof(f744,plain,
    ( ~ c0_1(a864)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f742,plain,
    ( spl0_100
  <=> c0_1(a864) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f3476,plain,
    ( ! [X82] :
        ( c0_1(X82)
        | c2_1(X82) )
    | ~ spl0_29
    | ~ spl0_58
    | ~ spl0_61 ),
    inference(subsumption_resolution,[],[f530,f3106]) ).

fof(f530,plain,
    ( ! [X82] :
        ( c3_1(X82)
        | c0_1(X82)
        | c2_1(X82) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f529,plain,
    ( spl0_61
  <=> ! [X82] :
        ( c3_1(X82)
        | c0_1(X82)
        | c2_1(X82) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f3496,plain,
    ( ~ spl0_29
    | ~ spl0_58
    | ~ spl0_61
    | spl0_111
    | spl0_113 ),
    inference(avatar_contradiction_clause,[],[f3495]) ).

fof(f3495,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_58
    | ~ spl0_61
    | spl0_111
    | spl0_113 ),
    inference(subsumption_resolution,[],[f3486,f803]) ).

fof(f803,plain,
    ( ~ c2_1(a858)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f801,plain,
    ( spl0_111
  <=> c2_1(a858) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f3486,plain,
    ( c2_1(a858)
    | ~ spl0_29
    | ~ spl0_58
    | ~ spl0_61
    | spl0_113 ),
    inference(resolution,[],[f3476,f813]) ).

fof(f813,plain,
    ( ~ c0_1(a858)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f811,plain,
    ( spl0_113
  <=> c0_1(a858) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f3378,plain,
    ( ~ spl0_168
    | ~ spl0_27
    | spl0_108
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f3377,f795,f785,f369,f1358]) ).

fof(f1358,plain,
    ( spl0_168
  <=> c2_1(a859) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f369,plain,
    ( spl0_27
  <=> ! [X3] :
        ( ~ c2_1(X3)
        | c3_1(X3)
        | ~ c0_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f785,plain,
    ( spl0_108
  <=> c3_1(a859) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f795,plain,
    ( spl0_110
  <=> c0_1(a859) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f3377,plain,
    ( ~ c2_1(a859)
    | ~ spl0_27
    | spl0_108
    | ~ spl0_110 ),
    inference(subsumption_resolution,[],[f3366,f787]) ).

fof(f787,plain,
    ( ~ c3_1(a859)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f3366,plain,
    ( c3_1(a859)
    | ~ c2_1(a859)
    | ~ spl0_27
    | ~ spl0_110 ),
    inference(resolution,[],[f370,f797]) ).

fof(f797,plain,
    ( c0_1(a859)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f370,plain,
    ( ! [X3] :
        ( ~ c0_1(X3)
        | c3_1(X3)
        | ~ c2_1(X3) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f3357,plain,
    ( spl0_183
    | spl0_154
    | ~ spl0_46
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f3258,f1035,f449,f1030,f3354]) ).

fof(f1030,plain,
    ( spl0_154
  <=> c1_1(a830) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f449,plain,
    ( spl0_46
  <=> ! [X26] :
        ( ~ c0_1(X26)
        | c1_1(X26)
        | c3_1(X26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f3258,plain,
    ( c1_1(a830)
    | c3_1(a830)
    | ~ spl0_46
    | ~ spl0_155 ),
    inference(resolution,[],[f1037,f450]) ).

fof(f450,plain,
    ( ! [X26] :
        ( ~ c0_1(X26)
        | c1_1(X26)
        | c3_1(X26) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f3352,plain,
    ( spl0_154
    | ~ spl0_42
    | ~ spl0_46
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f3333,f1035,f449,f431,f1030]) ).

fof(f431,plain,
    ( spl0_42
  <=> ! [X18] :
        ( ~ c3_1(X18)
        | c1_1(X18)
        | ~ c0_1(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f3333,plain,
    ( c1_1(a830)
    | ~ spl0_42
    | ~ spl0_46
    | ~ spl0_155 ),
    inference(resolution,[],[f3327,f1037]) ).

fof(f3327,plain,
    ( ! [X18] :
        ( ~ c0_1(X18)
        | c1_1(X18) )
    | ~ spl0_42
    | ~ spl0_46 ),
    inference(subsumption_resolution,[],[f432,f450]) ).

fof(f432,plain,
    ( ! [X18] :
        ( ~ c0_1(X18)
        | c1_1(X18)
        | ~ c3_1(X18) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f3248,plain,
    ( spl0_109
    | ~ spl0_46
    | spl0_108
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f3247,f795,f785,f449,f790]) ).

fof(f790,plain,
    ( spl0_109
  <=> c1_1(a859) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f3247,plain,
    ( c1_1(a859)
    | ~ spl0_46
    | spl0_108
    | ~ spl0_110 ),
    inference(subsumption_resolution,[],[f3232,f787]) ).

fof(f3232,plain,
    ( c1_1(a859)
    | c3_1(a859)
    | ~ spl0_46
    | ~ spl0_110 ),
    inference(resolution,[],[f450,f797]) ).

fof(f3190,plain,
    ( spl0_172
    | ~ spl0_32
    | ~ spl0_47
    | ~ spl0_50
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f3178,f955,f472,f454,f391,f1741]) ).

fof(f1741,plain,
    ( spl0_172
  <=> c2_1(a836) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f391,plain,
    ( spl0_32
  <=> ! [X12] :
        ( ~ c1_1(X12)
        | c2_1(X12)
        | ~ c0_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f454,plain,
    ( spl0_47
  <=> ! [X29] :
        ( ~ c3_1(X29)
        | c1_1(X29)
        | c2_1(X29) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f472,plain,
    ( spl0_50
  <=> ! [X44] :
        ( c3_1(X44)
        | c1_1(X44)
        | c2_1(X44) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f955,plain,
    ( spl0_140
  <=> c0_1(a836) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f3178,plain,
    ( c2_1(a836)
    | ~ spl0_32
    | ~ spl0_47
    | ~ spl0_50
    | ~ spl0_140 ),
    inference(resolution,[],[f3176,f957]) ).

fof(f957,plain,
    ( c0_1(a836)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f955]) ).

fof(f3176,plain,
    ( ! [X12] :
        ( ~ c0_1(X12)
        | c2_1(X12) )
    | ~ spl0_32
    | ~ spl0_47
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f392,f3108]) ).

fof(f3108,plain,
    ( ! [X44] :
        ( c2_1(X44)
        | c1_1(X44) )
    | ~ spl0_47
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f473,f455]) ).

fof(f455,plain,
    ( ! [X29] :
        ( ~ c3_1(X29)
        | c1_1(X29)
        | c2_1(X29) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f473,plain,
    ( ! [X44] :
        ( c3_1(X44)
        | c1_1(X44)
        | c2_1(X44) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f392,plain,
    ( ! [X12] :
        ( ~ c0_1(X12)
        | c2_1(X12)
        | ~ c1_1(X12) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f3175,plain,
    ( spl0_169
    | ~ spl0_40
    | ~ spl0_47
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f3164,f561,f454,f423,f1389]) ).

fof(f1389,plain,
    ( spl0_169
  <=> c1_1(a875) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f423,plain,
    ( spl0_40
  <=> ! [X17] :
        ( ~ c3_1(X17)
        | c1_1(X17)
        | ~ c2_1(X17) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f561,plain,
    ( spl0_66
  <=> c3_1(a875) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f3164,plain,
    ( c1_1(a875)
    | ~ spl0_40
    | ~ spl0_47
    | ~ spl0_66 ),
    inference(resolution,[],[f3149,f563]) ).

fof(f563,plain,
    ( c3_1(a875)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f3149,plain,
    ( ! [X17] :
        ( ~ c3_1(X17)
        | c1_1(X17) )
    | ~ spl0_40
    | ~ spl0_47 ),
    inference(subsumption_resolution,[],[f424,f455]) ).

fof(f424,plain,
    ( ! [X17] :
        ( ~ c3_1(X17)
        | c1_1(X17)
        | ~ c2_1(X17) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f423]) ).

fof(f3148,plain,
    ( spl0_154
    | ~ spl0_47
    | ~ spl0_50
    | spl0_153 ),
    inference(avatar_split_clause,[],[f3136,f1025,f472,f454,f1030]) ).

fof(f3136,plain,
    ( c1_1(a830)
    | ~ spl0_47
    | ~ spl0_50
    | spl0_153 ),
    inference(resolution,[],[f3108,f1027]) ).

fof(f3147,plain,
    ( spl0_112
    | ~ spl0_47
    | ~ spl0_50
    | spl0_111 ),
    inference(avatar_split_clause,[],[f3139,f801,f472,f454,f806]) ).

fof(f806,plain,
    ( spl0_112
  <=> c1_1(a858) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f3139,plain,
    ( c1_1(a858)
    | ~ spl0_47
    | ~ spl0_50
    | spl0_111 ),
    inference(resolution,[],[f3108,f803]) ).

fof(f3101,plain,
    ( spl0_93
    | ~ spl0_27
    | ~ spl0_95
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f3100,f1213,f715,f369,f705]) ).

fof(f705,plain,
    ( spl0_93
  <=> c3_1(a866) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f715,plain,
    ( spl0_95
  <=> c0_1(a866) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1213,plain,
    ( spl0_162
  <=> c2_1(a866) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f3100,plain,
    ( c3_1(a866)
    | ~ spl0_27
    | ~ spl0_95
    | ~ spl0_162 ),
    inference(subsumption_resolution,[],[f3004,f1215]) ).

fof(f1215,plain,
    ( c2_1(a866)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1213]) ).

fof(f3004,plain,
    ( c3_1(a866)
    | ~ c2_1(a866)
    | ~ spl0_27
    | ~ spl0_95 ),
    inference(resolution,[],[f370,f717]) ).

fof(f717,plain,
    ( c0_1(a866)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f3098,plain,
    ( spl0_87
    | ~ spl0_29
    | ~ spl0_88
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f3097,f2691,f678,f377,f673]) ).

fof(f673,plain,
    ( spl0_87
  <=> c2_1(a884) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f3097,plain,
    ( c2_1(a884)
    | ~ spl0_29
    | ~ spl0_88
    | ~ spl0_178 ),
    inference(subsumption_resolution,[],[f3046,f680]) ).

fof(f3046,plain,
    ( c2_1(a884)
    | ~ c3_1(a884)
    | ~ spl0_29
    | ~ spl0_178 ),
    inference(resolution,[],[f2693,f378]) ).

fof(f3082,plain,
    ( spl0_180
    | ~ spl0_47
    | ~ spl0_48
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f3072,f822,f458,f454,f2713]) ).

fof(f458,plain,
    ( spl0_48
  <=> ! [X30] :
        ( ~ c3_1(X30)
        | c2_1(X30)
        | ~ c1_1(X30) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f822,plain,
    ( spl0_115
  <=> c3_1(a853) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f3072,plain,
    ( c2_1(a853)
    | ~ spl0_47
    | ~ spl0_48
    | ~ spl0_115 ),
    inference(resolution,[],[f3061,f824]) ).

fof(f824,plain,
    ( c3_1(a853)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f3061,plain,
    ( ! [X30] :
        ( ~ c3_1(X30)
        | c2_1(X30) )
    | ~ spl0_47
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f459,f455]) ).

fof(f459,plain,
    ( ! [X30] :
        ( ~ c1_1(X30)
        | c2_1(X30)
        | ~ c3_1(X30) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f3060,plain,
    ( ~ spl0_30
    | ~ spl0_48
    | ~ spl0_115
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f3059]) ).

fof(f3059,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_48
    | ~ spl0_115
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f3056,f824]) ).

fof(f3056,plain,
    ( ~ c3_1(a853)
    | ~ spl0_30
    | ~ spl0_48
    | ~ spl0_116 ),
    inference(resolution,[],[f3045,f829]) ).

fof(f3045,plain,
    ( ! [X30] :
        ( ~ c1_1(X30)
        | ~ c3_1(X30) )
    | ~ spl0_30
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f459,f382]) ).

fof(f382,plain,
    ( ! [X6] :
        ( ~ c2_1(X6)
        | ~ c1_1(X6)
        | ~ c3_1(X6) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f381,plain,
    ( spl0_30
  <=> ! [X6] :
        ( ~ c3_1(X6)
        | ~ c1_1(X6)
        | ~ c2_1(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f2986,plain,
    ( ~ spl0_51
    | ~ spl0_58
    | ~ spl0_64
    | spl0_112
    | spl0_113 ),
    inference(avatar_contradiction_clause,[],[f2985]) ).

fof(f2985,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_58
    | ~ spl0_64
    | spl0_112
    | spl0_113 ),
    inference(subsumption_resolution,[],[f2977,f808]) ).

fof(f808,plain,
    ( ~ c1_1(a858)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f806]) ).

fof(f2977,plain,
    ( c1_1(a858)
    | ~ spl0_51
    | ~ spl0_58
    | ~ spl0_64
    | spl0_113 ),
    inference(resolution,[],[f2922,f813]) ).

fof(f2922,plain,
    ( ! [X92] :
        ( c0_1(X92)
        | c1_1(X92) )
    | ~ spl0_51
    | ~ spl0_58
    | ~ spl0_64 ),
    inference(subsumption_resolution,[],[f545,f2817]) ).

fof(f2817,plain,
    ( ! [X51] :
        ( ~ c3_1(X51)
        | c0_1(X51) )
    | ~ spl0_51
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f480,f513]) ).

fof(f480,plain,
    ( ! [X51] :
        ( ~ c3_1(X51)
        | c0_1(X51)
        | ~ c2_1(X51) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f479,plain,
    ( spl0_51
  <=> ! [X51] :
        ( ~ c3_1(X51)
        | c0_1(X51)
        | ~ c2_1(X51) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f545,plain,
    ( ! [X92] :
        ( c3_1(X92)
        | c0_1(X92)
        | c1_1(X92) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f544,plain,
    ( spl0_64
  <=> ! [X92] :
        ( c3_1(X92)
        | c0_1(X92)
        | c1_1(X92) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f2906,plain,
    ( ~ spl0_29
    | ~ spl0_36
    | spl0_153
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f2905]) ).

fof(f2905,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_36
    | spl0_153
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f2890,f1027]) ).

fof(f2890,plain,
    ( c2_1(a830)
    | ~ spl0_29
    | ~ spl0_36
    | ~ spl0_155 ),
    inference(resolution,[],[f2818,f1037]) ).

fof(f2818,plain,
    ( ! [X5] :
        ( ~ c0_1(X5)
        | c2_1(X5) )
    | ~ spl0_29
    | ~ spl0_36 ),
    inference(subsumption_resolution,[],[f378,f407]) ).

fof(f407,plain,
    ( ! [X15] :
        ( ~ c0_1(X15)
        | c2_1(X15)
        | c3_1(X15) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f406,plain,
    ( spl0_36
  <=> ! [X15] :
        ( ~ c0_1(X15)
        | c2_1(X15)
        | c3_1(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f2824,plain,
    ( ~ spl0_169
    | ~ spl0_30
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f2823,f566,f561,f381,f1389]) ).

fof(f566,plain,
    ( spl0_67
  <=> c2_1(a875) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f2823,plain,
    ( ~ c1_1(a875)
    | ~ spl0_30
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(subsumption_resolution,[],[f2821,f563]) ).

fof(f2821,plain,
    ( ~ c1_1(a875)
    | ~ c3_1(a875)
    | ~ spl0_30
    | ~ spl0_67 ),
    inference(resolution,[],[f568,f382]) ).

fof(f568,plain,
    ( c2_1(a875)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f2798,plain,
    ( ~ spl0_28
    | ~ spl0_42
    | ~ spl0_46
    | ~ spl0_58
    | spl0_126
    | spl0_127
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f2797]) ).

fof(f2797,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_42
    | ~ spl0_46
    | ~ spl0_58
    | spl0_126
    | spl0_127
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f2785,f888]) ).

fof(f888,plain,
    ( ~ c1_1(a844)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f886,plain,
    ( spl0_127
  <=> c1_1(a844) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2785,plain,
    ( c1_1(a844)
    | ~ spl0_28
    | ~ spl0_42
    | ~ spl0_46
    | ~ spl0_58
    | spl0_126
    | ~ spl0_128 ),
    inference(resolution,[],[f2781,f2684]) ).

fof(f2684,plain,
    ( c0_1(a844)
    | ~ spl0_58
    | spl0_126
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f2672,f883]) ).

fof(f883,plain,
    ( ~ c2_1(a844)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f2672,plain,
    ( c0_1(a844)
    | c2_1(a844)
    | ~ spl0_58
    | ~ spl0_128 ),
    inference(resolution,[],[f513,f893]) ).

fof(f2781,plain,
    ( ! [X18] :
        ( ~ c0_1(X18)
        | c1_1(X18) )
    | ~ spl0_28
    | ~ spl0_42
    | ~ spl0_46 ),
    inference(subsumption_resolution,[],[f432,f2702]) ).

fof(f2702,plain,
    ( ! [X26] :
        ( c3_1(X26)
        | ~ c0_1(X26) )
    | ~ spl0_28
    | ~ spl0_46 ),
    inference(subsumption_resolution,[],[f450,f374]) ).

fof(f374,plain,
    ( ! [X4] :
        ( ~ c0_1(X4)
        | c3_1(X4)
        | ~ c1_1(X4) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f373,plain,
    ( spl0_28
  <=> ! [X4] :
        ( ~ c1_1(X4)
        | c3_1(X4)
        | ~ c0_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f2701,plain,
    ( spl0_120
    | ~ spl0_58
    | spl0_121
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2686,f859,f854,f512,f849]) ).

fof(f849,plain,
    ( spl0_120
  <=> c2_1(a846) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f854,plain,
    ( spl0_121
  <=> c0_1(a846) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f859,plain,
    ( spl0_122
  <=> c3_1(a846) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f2686,plain,
    ( c2_1(a846)
    | ~ spl0_58
    | spl0_121
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f2674,f856]) ).

fof(f856,plain,
    ( ~ c0_1(a846)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f2674,plain,
    ( c0_1(a846)
    | c2_1(a846)
    | ~ spl0_58
    | ~ spl0_122 ),
    inference(resolution,[],[f513,f861]) ).

fof(f861,plain,
    ( c3_1(a846)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f859]) ).

fof(f2694,plain,
    ( spl0_87
    | spl0_178
    | ~ spl0_58
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2677,f678,f512,f2691,f673]) ).

fof(f2677,plain,
    ( c0_1(a884)
    | c2_1(a884)
    | ~ spl0_58
    | ~ spl0_88 ),
    inference(resolution,[],[f513,f680]) ).

fof(f2666,plain,
    ( ~ spl0_163
    | ~ spl0_32
    | spl0_102
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2665,f763,f753,f391,f1255]) ).

fof(f753,plain,
    ( spl0_102
  <=> c2_1(a863) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f2665,plain,
    ( ~ c1_1(a863)
    | ~ spl0_32
    | spl0_102
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f2380,f755]) ).

fof(f755,plain,
    ( ~ c2_1(a863)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f2380,plain,
    ( c2_1(a863)
    | ~ c1_1(a863)
    | ~ spl0_32
    | ~ spl0_104 ),
    inference(resolution,[],[f765,f392]) ).

fof(f2626,plain,
    ( ~ spl0_28
    | ~ spl0_55
    | spl0_117
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(avatar_contradiction_clause,[],[f2625]) ).

fof(f2625,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_55
    | spl0_117
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f2624,f845]) ).

fof(f845,plain,
    ( c1_1(a851)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f843,plain,
    ( spl0_119
  <=> c1_1(a851) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f2624,plain,
    ( ~ c1_1(a851)
    | ~ spl0_28
    | ~ spl0_55
    | spl0_117
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f2623,f835]) ).

fof(f835,plain,
    ( ~ c3_1(a851)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f833,plain,
    ( spl0_117
  <=> c3_1(a851) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2623,plain,
    ( c3_1(a851)
    | ~ c1_1(a851)
    | ~ spl0_28
    | ~ spl0_55
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(resolution,[],[f2599,f374]) ).

fof(f2599,plain,
    ( c0_1(a851)
    | ~ spl0_55
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f2593,f840]) ).

fof(f840,plain,
    ( c2_1(a851)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f838,plain,
    ( spl0_118
  <=> c2_1(a851) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f2593,plain,
    ( c0_1(a851)
    | ~ c2_1(a851)
    | ~ spl0_55
    | ~ spl0_119 ),
    inference(resolution,[],[f497,f845]) ).

fof(f2606,plain,
    ( ~ spl0_32
    | ~ spl0_53
    | spl0_87
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(avatar_contradiction_clause,[],[f2605]) ).

fof(f2605,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_53
    | spl0_87
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f2604,f685]) ).

fof(f2604,plain,
    ( ~ c1_1(a884)
    | ~ spl0_32
    | ~ spl0_53
    | spl0_87
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f2602,f675]) ).

fof(f675,plain,
    ( ~ c2_1(a884)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f2602,plain,
    ( c2_1(a884)
    | ~ c1_1(a884)
    | ~ spl0_32
    | ~ spl0_53
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(resolution,[],[f2583,f392]) ).

fof(f2583,plain,
    ( c0_1(a884)
    | ~ spl0_53
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f2579,f680]) ).

fof(f2579,plain,
    ( c0_1(a884)
    | ~ c3_1(a884)
    | ~ spl0_53
    | ~ spl0_89 ),
    inference(resolution,[],[f489,f685]) ).

fof(f489,plain,
    ( ! [X55] :
        ( ~ c1_1(X55)
        | c0_1(X55)
        | ~ c3_1(X55) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f488,plain,
    ( spl0_53
  <=> ! [X55] :
        ( ~ c3_1(X55)
        | c0_1(X55)
        | ~ c1_1(X55) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f2571,plain,
    ( spl0_167
    | ~ spl0_48
    | ~ spl0_75
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f2570,f614,f609,f458,f1347]) ).

fof(f1347,plain,
    ( spl0_167
  <=> c2_1(a839) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f609,plain,
    ( spl0_75
  <=> c3_1(a839) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f614,plain,
    ( spl0_76
  <=> c1_1(a839) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2570,plain,
    ( c2_1(a839)
    | ~ spl0_48
    | ~ spl0_75
    | ~ spl0_76 ),
    inference(subsumption_resolution,[],[f2564,f611]) ).

fof(f611,plain,
    ( c3_1(a839)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f609]) ).

fof(f2564,plain,
    ( c2_1(a839)
    | ~ c3_1(a839)
    | ~ spl0_48
    | ~ spl0_76 ),
    inference(resolution,[],[f459,f616]) ).

fof(f616,plain,
    ( c1_1(a839)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f614]) ).

fof(f2569,plain,
    ( ~ spl0_48
    | spl0_87
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(avatar_contradiction_clause,[],[f2568]) ).

fof(f2568,plain,
    ( $false
    | ~ spl0_48
    | spl0_87
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f2567,f680]) ).

fof(f2567,plain,
    ( ~ c3_1(a884)
    | ~ spl0_48
    | spl0_87
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f2563,f675]) ).

fof(f2563,plain,
    ( c2_1(a884)
    | ~ c3_1(a884)
    | ~ spl0_48
    | ~ spl0_89 ),
    inference(resolution,[],[f459,f685]) ).

fof(f2531,plain,
    ( ~ spl0_27
    | ~ spl0_54
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(avatar_contradiction_clause,[],[f2530]) ).

fof(f2530,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_54
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(subsumption_resolution,[],[f2522,f781]) ).

fof(f781,plain,
    ( c0_1(a861)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f779,plain,
    ( spl0_107
  <=> c0_1(a861) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2522,plain,
    ( ~ c0_1(a861)
    | ~ spl0_27
    | ~ spl0_54
    | ~ spl0_106 ),
    inference(resolution,[],[f2519,f776]) ).

fof(f776,plain,
    ( c2_1(a861)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f774,plain,
    ( spl0_106
  <=> c2_1(a861) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f2519,plain,
    ( ! [X54] :
        ( ~ c2_1(X54)
        | ~ c0_1(X54) )
    | ~ spl0_27
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f492,f370]) ).

fof(f492,plain,
    ( ! [X54] :
        ( ~ c3_1(X54)
        | ~ c0_1(X54)
        | ~ c2_1(X54) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f491,plain,
    ( spl0_54
  <=> ! [X54] :
        ( ~ c3_1(X54)
        | ~ c0_1(X54)
        | ~ c2_1(X54) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f2529,plain,
    ( ~ spl0_27
    | ~ spl0_51
    | ~ spl0_54
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f2528]) ).

fof(f2528,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_51
    | ~ spl0_54
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2521,f2454]) ).

fof(f2454,plain,
    ( c0_1(a831)
    | ~ spl0_51
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2440,f1021]) ).

fof(f1021,plain,
    ( c2_1(a831)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f1019]) ).

fof(f1019,plain,
    ( spl0_152
  <=> c2_1(a831) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f2440,plain,
    ( c0_1(a831)
    | ~ c2_1(a831)
    | ~ spl0_51
    | ~ spl0_151 ),
    inference(resolution,[],[f480,f1016]) ).

fof(f1016,plain,
    ( c3_1(a831)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f1014]) ).

fof(f1014,plain,
    ( spl0_151
  <=> c3_1(a831) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f2521,plain,
    ( ~ c0_1(a831)
    | ~ spl0_27
    | ~ spl0_54
    | ~ spl0_152 ),
    inference(resolution,[],[f2519,f1021]) ).

fof(f2518,plain,
    ( ~ spl0_145
    | ~ spl0_27
    | spl0_144
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2514,f987,f977,f369,f982]) ).

fof(f982,plain,
    ( spl0_145
  <=> c2_1(a833) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f977,plain,
    ( spl0_144
  <=> c3_1(a833) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f987,plain,
    ( spl0_146
  <=> c0_1(a833) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f2514,plain,
    ( ~ c2_1(a833)
    | ~ spl0_27
    | spl0_144
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2505,f979]) ).

fof(f979,plain,
    ( ~ c3_1(a833)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f977]) ).

fof(f2505,plain,
    ( c3_1(a833)
    | ~ c2_1(a833)
    | ~ spl0_27
    | ~ spl0_146 ),
    inference(resolution,[],[f370,f989]) ).

fof(f989,plain,
    ( c0_1(a833)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f987]) ).

fof(f2490,plain,
    ( ~ spl0_28
    | ~ spl0_46
    | spl0_144
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f2489]) ).

fof(f2489,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_46
    | spl0_144
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2486,f979]) ).

fof(f2486,plain,
    ( c3_1(a833)
    | ~ spl0_28
    | ~ spl0_46
    | ~ spl0_146 ),
    inference(resolution,[],[f989,f2377]) ).

fof(f2377,plain,
    ( ! [X26] :
        ( ~ c0_1(X26)
        | c3_1(X26) )
    | ~ spl0_28
    | ~ spl0_46 ),
    inference(subsumption_resolution,[],[f450,f374]) ).

fof(f2481,plain,
    ( ~ spl0_28
    | ~ spl0_46
    | ~ spl0_51
    | ~ spl0_54
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f2480]) ).

fof(f2480,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_46
    | ~ spl0_51
    | ~ spl0_54
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2474,f2454]) ).

fof(f2474,plain,
    ( ~ c0_1(a831)
    | ~ spl0_28
    | ~ spl0_46
    | ~ spl0_54
    | ~ spl0_152 ),
    inference(resolution,[],[f2465,f1021]) ).

fof(f2465,plain,
    ( ! [X54] :
        ( ~ c2_1(X54)
        | ~ c0_1(X54) )
    | ~ spl0_28
    | ~ spl0_46
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f492,f2377]) ).

fof(f2397,plain,
    ( spl0_93
    | ~ spl0_28
    | ~ spl0_46
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f2391,f715,f449,f373,f705]) ).

fof(f2391,plain,
    ( c3_1(a866)
    | ~ spl0_28
    | ~ spl0_46
    | ~ spl0_95 ),
    inference(resolution,[],[f2377,f717]) ).

fof(f2376,plain,
    ( ~ spl0_172
    | ~ spl0_44
    | spl0_138
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2349,f955,f945,f441,f1741]) ).

fof(f441,plain,
    ( spl0_44
  <=> ! [X23] :
        ( ~ c2_1(X23)
        | c1_1(X23)
        | ~ c0_1(X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f945,plain,
    ( spl0_138
  <=> c1_1(a836) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2349,plain,
    ( ~ c2_1(a836)
    | ~ spl0_44
    | spl0_138
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f2340,f947]) ).

fof(f947,plain,
    ( ~ c1_1(a836)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f945]) ).

fof(f2340,plain,
    ( c1_1(a836)
    | ~ c2_1(a836)
    | ~ spl0_44
    | ~ spl0_140 ),
    inference(resolution,[],[f442,f957]) ).

fof(f442,plain,
    ( ! [X23] :
        ( ~ c0_1(X23)
        | c1_1(X23)
        | ~ c2_1(X23) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f2375,plain,
    ( ~ spl0_168
    | ~ spl0_44
    | spl0_109
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2355,f795,f790,f441,f1358]) ).

fof(f2355,plain,
    ( ~ c2_1(a859)
    | ~ spl0_44
    | spl0_109
    | ~ spl0_110 ),
    inference(subsumption_resolution,[],[f2342,f792]) ).

fof(f792,plain,
    ( ~ c1_1(a859)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f2342,plain,
    ( c1_1(a859)
    | ~ c2_1(a859)
    | ~ spl0_44
    | ~ spl0_110 ),
    inference(resolution,[],[f442,f797]) ).

fof(f2372,plain,
    ( ~ spl0_106
    | ~ spl0_44
    | spl0_105
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2358,f779,f769,f441,f774]) ).

fof(f769,plain,
    ( spl0_105
  <=> c1_1(a861) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f2358,plain,
    ( ~ c2_1(a861)
    | ~ spl0_44
    | spl0_105
    | ~ spl0_107 ),
    inference(subsumption_resolution,[],[f2343,f771]) ).

fof(f771,plain,
    ( ~ c1_1(a861)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f2343,plain,
    ( c1_1(a861)
    | ~ c2_1(a861)
    | ~ spl0_44
    | ~ spl0_107 ),
    inference(resolution,[],[f442,f781]) ).

fof(f2253,plain,
    ( ~ spl0_35
    | spl0_117
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(avatar_contradiction_clause,[],[f2252]) ).

fof(f2252,plain,
    ( $false
    | ~ spl0_35
    | spl0_117
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f2251,f840]) ).

fof(f2251,plain,
    ( ~ c2_1(a851)
    | ~ spl0_35
    | spl0_117
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f2243,f835]) ).

fof(f2243,plain,
    ( c3_1(a851)
    | ~ c2_1(a851)
    | ~ spl0_35
    | ~ spl0_119 ),
    inference(resolution,[],[f403,f845]) ).

fof(f403,plain,
    ( ! [X13] :
        ( ~ c1_1(X13)
        | c3_1(X13)
        | ~ c2_1(X13) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f402,plain,
    ( spl0_35
  <=> ! [X13] :
        ( ~ c2_1(X13)
        | c3_1(X13)
        | ~ c1_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f2161,plain,
    ( ~ spl0_30
    | ~ spl0_32
    | ~ spl0_49
    | ~ spl0_58
    | ~ spl0_75
    | ~ spl0_76 ),
    inference(avatar_contradiction_clause,[],[f2160]) ).

fof(f2160,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_32
    | ~ spl0_49
    | ~ spl0_58
    | ~ spl0_75
    | ~ spl0_76 ),
    inference(subsumption_resolution,[],[f2148,f611]) ).

fof(f2148,plain,
    ( ~ c3_1(a839)
    | ~ spl0_30
    | ~ spl0_32
    | ~ spl0_49
    | ~ spl0_58
    | ~ spl0_76 ),
    inference(resolution,[],[f2126,f616]) ).

fof(f2126,plain,
    ( ! [X6] :
        ( ~ c1_1(X6)
        | ~ c3_1(X6) )
    | ~ spl0_30
    | ~ spl0_32
    | ~ spl0_49
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f382,f2088]) ).

fof(f2088,plain,
    ( ! [X71] :
        ( ~ c3_1(X71)
        | c2_1(X71) )
    | ~ spl0_32
    | ~ spl0_49
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f513,f1936]) ).

fof(f1936,plain,
    ( ! [X36] :
        ( ~ c0_1(X36)
        | c2_1(X36) )
    | ~ spl0_32
    | ~ spl0_49 ),
    inference(subsumption_resolution,[],[f465,f392]) ).

fof(f465,plain,
    ( ! [X36] :
        ( ~ c0_1(X36)
        | c1_1(X36)
        | c2_1(X36) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f464,plain,
    ( spl0_49
  <=> ! [X36] :
        ( ~ c0_1(X36)
        | c1_1(X36)
        | c2_1(X36) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f2130,plain,
    ( ~ spl0_160
    | spl0_159
    | ~ spl0_55
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2045,f1067,f496,f1057,f1062]) ).

fof(f1062,plain,
    ( spl0_160
  <=> c2_1(a828) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1057,plain,
    ( spl0_159
  <=> c0_1(a828) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f1067,plain,
    ( spl0_161
  <=> c1_1(a828) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f2045,plain,
    ( c0_1(a828)
    | ~ c2_1(a828)
    | ~ spl0_55
    | ~ spl0_161 ),
    inference(resolution,[],[f497,f1069]) ).

fof(f1069,plain,
    ( c1_1(a828)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1067]) ).

fof(f2122,plain,
    ( spl0_126
    | ~ spl0_32
    | ~ spl0_49
    | ~ spl0_58
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2096,f891,f512,f464,f391,f881]) ).

fof(f2096,plain,
    ( c2_1(a844)
    | ~ spl0_32
    | ~ spl0_49
    | ~ spl0_58
    | ~ spl0_128 ),
    inference(resolution,[],[f2088,f893]) ).

fof(f2086,plain,
    ( ~ spl0_56
    | spl0_84
    | spl0_85
    | ~ spl0_86 ),
    inference(avatar_contradiction_clause,[],[f2085]) ).

fof(f2085,plain,
    ( $false
    | ~ spl0_56
    | spl0_84
    | spl0_85
    | ~ spl0_86 ),
    inference(subsumption_resolution,[],[f2084,f669]) ).

fof(f669,plain,
    ( c2_1(a890)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f667,plain,
    ( spl0_86
  <=> c2_1(a890) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f2084,plain,
    ( ~ c2_1(a890)
    | ~ spl0_56
    | spl0_84
    | spl0_85 ),
    inference(subsumption_resolution,[],[f2077,f664]) ).

fof(f664,plain,
    ( ~ c0_1(a890)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f662,plain,
    ( spl0_85
  <=> c0_1(a890) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f2077,plain,
    ( c0_1(a890)
    | ~ c2_1(a890)
    | ~ spl0_56
    | spl0_84 ),
    inference(resolution,[],[f503,f659]) ).

fof(f659,plain,
    ( ~ c3_1(a890)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f657,plain,
    ( spl0_84
  <=> c3_1(a890) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f503,plain,
    ( ! [X65] :
        ( c3_1(X65)
        | c0_1(X65)
        | ~ c2_1(X65) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f502,plain,
    ( spl0_56
  <=> ! [X65] :
        ( ~ c2_1(X65)
        | c0_1(X65)
        | c3_1(X65) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f2020,plain,
    ( ~ spl0_53
    | spl0_114
    | ~ spl0_115
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f2019]) ).

fof(f2019,plain,
    ( $false
    | ~ spl0_53
    | spl0_114
    | ~ spl0_115
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f2018,f824]) ).

fof(f2018,plain,
    ( ~ c3_1(a853)
    | ~ spl0_53
    | spl0_114
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f2004,f819]) ).

fof(f819,plain,
    ( ~ c0_1(a853)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f2004,plain,
    ( c0_1(a853)
    | ~ c3_1(a853)
    | ~ spl0_53
    | ~ spl0_116 ),
    inference(resolution,[],[f489,f829]) ).

fof(f1971,plain,
    ( spl0_171
    | ~ spl0_50
    | spl0_141
    | spl0_142 ),
    inference(avatar_split_clause,[],[f1970,f966,f961,f472,f1611]) ).

fof(f1611,plain,
    ( spl0_171
  <=> c1_1(a835) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f961,plain,
    ( spl0_141
  <=> c3_1(a835) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f966,plain,
    ( spl0_142
  <=> c2_1(a835) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1970,plain,
    ( c1_1(a835)
    | ~ spl0_50
    | spl0_141
    | spl0_142 ),
    inference(subsumption_resolution,[],[f1956,f968]) ).

fof(f968,plain,
    ( ~ c2_1(a835)
    | spl0_142 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f1956,plain,
    ( c1_1(a835)
    | c2_1(a835)
    | ~ spl0_50
    | spl0_141 ),
    inference(resolution,[],[f473,f963]) ).

fof(f963,plain,
    ( ~ c3_1(a835)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f1969,plain,
    ( spl0_148
    | ~ spl0_50
    | spl0_147
    | spl0_149 ),
    inference(avatar_split_clause,[],[f1963,f1003,f993,f472,f998]) ).

fof(f998,plain,
    ( spl0_148
  <=> c2_1(a832) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f993,plain,
    ( spl0_147
  <=> c3_1(a832) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1003,plain,
    ( spl0_149
  <=> c1_1(a832) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1963,plain,
    ( c2_1(a832)
    | ~ spl0_50
    | spl0_147
    | spl0_149 ),
    inference(subsumption_resolution,[],[f1955,f1005]) ).

fof(f1005,plain,
    ( ~ c1_1(a832)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f1003]) ).

fof(f1955,plain,
    ( c1_1(a832)
    | c2_1(a832)
    | ~ spl0_50
    | spl0_147 ),
    inference(resolution,[],[f473,f995]) ).

fof(f995,plain,
    ( ~ c3_1(a832)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f993]) ).

fof(f1934,plain,
    ( ~ spl0_133
    | spl0_132
    | ~ spl0_32
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1858,f923,f391,f913,f918]) ).

fof(f918,plain,
    ( spl0_133
  <=> c1_1(a841) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f913,plain,
    ( spl0_132
  <=> c2_1(a841) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f923,plain,
    ( spl0_134
  <=> c0_1(a841) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1858,plain,
    ( c2_1(a841)
    | ~ c1_1(a841)
    | ~ spl0_32
    | ~ spl0_134 ),
    inference(resolution,[],[f392,f925]) ).

fof(f925,plain,
    ( c0_1(a841)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f1929,plain,
    ( ~ spl0_32
    | ~ spl0_49
    | spl0_132
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f1928]) ).

fof(f1928,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_49
    | spl0_132
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1918,f915]) ).

fof(f915,plain,
    ( ~ c2_1(a841)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f1918,plain,
    ( c2_1(a841)
    | ~ spl0_32
    | ~ spl0_49
    | ~ spl0_134 ),
    inference(resolution,[],[f1915,f925]) ).

fof(f1915,plain,
    ( ! [X36] :
        ( ~ c0_1(X36)
        | c2_1(X36) )
    | ~ spl0_32
    | ~ spl0_49 ),
    inference(subsumption_resolution,[],[f465,f392]) ).

fof(f1926,plain,
    ( ~ spl0_32
    | ~ spl0_49
    | spl0_153
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f1925]) ).

fof(f1925,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_49
    | spl0_153
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f1916,f1027]) ).

fof(f1916,plain,
    ( c2_1(a830)
    | ~ spl0_32
    | ~ spl0_49
    | ~ spl0_155 ),
    inference(resolution,[],[f1915,f1037]) ).

fof(f1884,plain,
    ( spl0_169
    | ~ spl0_44
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1883,f571,f566,f441,f1389]) ).

fof(f571,plain,
    ( spl0_68
  <=> c0_1(a875) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1883,plain,
    ( c1_1(a875)
    | ~ spl0_44
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(subsumption_resolution,[],[f1879,f568]) ).

fof(f1879,plain,
    ( c1_1(a875)
    | ~ c2_1(a875)
    | ~ spl0_44
    | ~ spl0_68 ),
    inference(resolution,[],[f442,f573]) ).

fof(f573,plain,
    ( c0_1(a875)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f1854,plain,
    ( spl0_169
    | ~ spl0_42
    | ~ spl0_66
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1853,f571,f561,f431,f1389]) ).

fof(f1853,plain,
    ( c1_1(a875)
    | ~ spl0_42
    | ~ spl0_66
    | ~ spl0_68 ),
    inference(subsumption_resolution,[],[f1848,f563]) ).

fof(f1848,plain,
    ( c1_1(a875)
    | ~ c3_1(a875)
    | ~ spl0_42
    | ~ spl0_68 ),
    inference(resolution,[],[f573,f432]) ).

fof(f1844,plain,
    ( ~ spl0_103
    | spl0_102
    | ~ spl0_29
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1811,f763,f377,f753,f758]) ).

fof(f1811,plain,
    ( c2_1(a863)
    | ~ c3_1(a863)
    | ~ spl0_29
    | ~ spl0_104 ),
    inference(resolution,[],[f378,f765]) ).

fof(f1843,plain,
    ( ~ spl0_103
    | spl0_163
    | ~ spl0_42
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1733,f763,f431,f1255,f758]) ).

fof(f1733,plain,
    ( c1_1(a863)
    | ~ c3_1(a863)
    | ~ spl0_42
    | ~ spl0_104 ),
    inference(resolution,[],[f432,f765]) ).

fof(f1840,plain,
    ( ~ spl0_133
    | spl0_164
    | ~ spl0_28
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1704,f923,f373,f1262,f918]) ).

fof(f1262,plain,
    ( spl0_164
  <=> c3_1(a841) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f1704,plain,
    ( c3_1(a841)
    | ~ c1_1(a841)
    | ~ spl0_28
    | ~ spl0_134 ),
    inference(resolution,[],[f374,f925]) ).

fof(f1839,plain,
    ( ~ spl0_164
    | ~ spl0_29
    | spl0_132
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1818,f923,f913,f377,f1262]) ).

fof(f1818,plain,
    ( ~ c3_1(a841)
    | ~ spl0_29
    | spl0_132
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1809,f915]) ).

fof(f1809,plain,
    ( c2_1(a841)
    | ~ c3_1(a841)
    | ~ spl0_29
    | ~ spl0_134 ),
    inference(resolution,[],[f378,f925]) ).

fof(f1794,plain,
    ( ~ spl0_28
    | ~ spl0_29
    | ~ spl0_46
    | spl0_153
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f1793]) ).

fof(f1793,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_29
    | ~ spl0_46
    | spl0_153
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f1785,f1027]) ).

fof(f1785,plain,
    ( c2_1(a830)
    | ~ spl0_28
    | ~ spl0_29
    | ~ spl0_46
    | ~ spl0_155 ),
    inference(resolution,[],[f1769,f1037]) ).

fof(f1769,plain,
    ( ! [X5] :
        ( ~ c0_1(X5)
        | c2_1(X5) )
    | ~ spl0_28
    | ~ spl0_29
    | ~ spl0_46 ),
    inference(subsumption_resolution,[],[f378,f1746]) ).

fof(f1746,plain,
    ( ! [X26] :
        ( ~ c0_1(X26)
        | c3_1(X26) )
    | ~ spl0_28
    | ~ spl0_46 ),
    inference(subsumption_resolution,[],[f450,f374]) ).

fof(f1767,plain,
    ( ~ spl0_139
    | spl0_138
    | ~ spl0_42
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1730,f955,f431,f945,f950]) ).

fof(f950,plain,
    ( spl0_139
  <=> c3_1(a836) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1730,plain,
    ( c1_1(a836)
    | ~ c3_1(a836)
    | ~ spl0_42
    | ~ spl0_140 ),
    inference(resolution,[],[f432,f957]) ).

fof(f1687,plain,
    ( ~ spl0_34
    | ~ spl0_50
    | ~ spl0_58
    | spl0_111
    | spl0_113 ),
    inference(avatar_contradiction_clause,[],[f1686]) ).

fof(f1686,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_50
    | ~ spl0_58
    | spl0_111
    | spl0_113 ),
    inference(subsumption_resolution,[],[f1676,f803]) ).

fof(f1676,plain,
    ( c2_1(a858)
    | ~ spl0_34
    | ~ spl0_50
    | ~ spl0_58
    | spl0_113 ),
    inference(resolution,[],[f1668,f813]) ).

fof(f1668,plain,
    ( ! [X71] :
        ( c0_1(X71)
        | c2_1(X71) )
    | ~ spl0_34
    | ~ spl0_50
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f513,f1543]) ).

fof(f1543,plain,
    ( ! [X44] :
        ( c3_1(X44)
        | c2_1(X44) )
    | ~ spl0_34
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f473,f400]) ).

fof(f400,plain,
    ( ! [X14] :
        ( c3_1(X14)
        | c2_1(X14)
        | ~ c1_1(X14) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f399]) ).

fof(f399,plain,
    ( spl0_34
  <=> ! [X14] :
        ( ~ c1_1(X14)
        | c2_1(X14)
        | c3_1(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1639,plain,
    ( ~ spl0_25
    | ~ spl0_44
    | ~ spl0_49
    | spl0_138
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1638]) ).

fof(f1638,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_44
    | ~ spl0_49
    | spl0_138
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1634,f947]) ).

fof(f1634,plain,
    ( c1_1(a836)
    | ~ spl0_25
    | ~ spl0_44
    | ~ spl0_49
    | ~ spl0_140 ),
    inference(resolution,[],[f1618,f957]) ).

fof(f1618,plain,
    ( ! [X36] :
        ( ~ c0_1(X36)
        | c1_1(X36) )
    | ~ spl0_25
    | ~ spl0_44
    | ~ spl0_49 ),
    inference(subsumption_resolution,[],[f465,f1351]) ).

fof(f1351,plain,
    ( ! [X23] :
        ( ~ c0_1(X23)
        | ~ c2_1(X23) )
    | ~ spl0_25
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f442,f362]) ).

fof(f362,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f361,plain,
    ( spl0_25
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f1628,plain,
    ( ~ spl0_167
    | ~ spl0_25
    | ~ spl0_76
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1627,f619,f614,f361,f1347]) ).

fof(f619,plain,
    ( spl0_77
  <=> c0_1(a839) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1627,plain,
    ( ~ c2_1(a839)
    | ~ spl0_25
    | ~ spl0_76
    | ~ spl0_77 ),
    inference(subsumption_resolution,[],[f1621,f616]) ).

fof(f1621,plain,
    ( ~ c2_1(a839)
    | ~ c1_1(a839)
    | ~ spl0_25
    | ~ spl0_77 ),
    inference(resolution,[],[f621,f362]) ).

fof(f621,plain,
    ( c0_1(a839)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f1614,plain,
    ( ~ spl0_171
    | spl0_142
    | ~ spl0_34
    | spl0_141 ),
    inference(avatar_split_clause,[],[f1144,f961,f399,f966,f1611]) ).

fof(f1144,plain,
    ( c2_1(a835)
    | ~ c1_1(a835)
    | ~ spl0_34
    | spl0_141 ),
    inference(resolution,[],[f400,f963]) ).

fof(f1540,plain,
    ( ~ spl0_45
    | ~ spl0_50
    | spl0_90
    | spl0_91 ),
    inference(avatar_contradiction_clause,[],[f1539]) ).

fof(f1539,plain,
    ( $false
    | ~ spl0_45
    | ~ spl0_50
    | spl0_90
    | spl0_91 ),
    inference(subsumption_resolution,[],[f1527,f696]) ).

fof(f696,plain,
    ( ~ c1_1(a868)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f694,plain,
    ( spl0_91
  <=> c1_1(a868) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1527,plain,
    ( c1_1(a868)
    | ~ spl0_45
    | ~ spl0_50
    | spl0_90 ),
    inference(resolution,[],[f1518,f691]) ).

fof(f691,plain,
    ( ~ c3_1(a868)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f689,plain,
    ( spl0_90
  <=> c3_1(a868) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1518,plain,
    ( ! [X44] :
        ( c3_1(X44)
        | c1_1(X44) )
    | ~ spl0_45
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f473,f446]) ).

fof(f446,plain,
    ( ! [X24] :
        ( c3_1(X24)
        | c1_1(X24)
        | ~ c2_1(X24) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f445,plain,
    ( spl0_45
  <=> ! [X24] :
        ( ~ c2_1(X24)
        | c1_1(X24)
        | c3_1(X24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1517,plain,
    ( ~ spl0_92
    | ~ spl0_45
    | spl0_90
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1513,f694,f689,f445,f699]) ).

fof(f699,plain,
    ( spl0_92
  <=> c2_1(a868) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1513,plain,
    ( ~ c2_1(a868)
    | ~ spl0_45
    | spl0_90
    | spl0_91 ),
    inference(subsumption_resolution,[],[f1507,f696]) ).

fof(f1507,plain,
    ( c1_1(a868)
    | ~ c2_1(a868)
    | ~ spl0_45
    | spl0_90 ),
    inference(resolution,[],[f446,f691]) ).

fof(f1459,plain,
    ( ~ spl0_28
    | ~ spl0_57
    | spl0_117
    | ~ spl0_119 ),
    inference(avatar_contradiction_clause,[],[f1458]) ).

fof(f1458,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_57
    | spl0_117
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f1449,f835]) ).

fof(f1449,plain,
    ( c3_1(a851)
    | ~ spl0_28
    | ~ spl0_57
    | ~ spl0_119 ),
    inference(resolution,[],[f1441,f845]) ).

fof(f1441,plain,
    ( ! [X70] :
        ( ~ c1_1(X70)
        | c3_1(X70) )
    | ~ spl0_28
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f509,f374]) ).

fof(f509,plain,
    ( ! [X70] :
        ( ~ c1_1(X70)
        | c0_1(X70)
        | c3_1(X70) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f508,plain,
    ( spl0_57
  <=> ! [X70] :
        ( ~ c1_1(X70)
        | c0_1(X70)
        | c3_1(X70) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1457,plain,
    ( ~ spl0_28
    | ~ spl0_57
    | spl0_129
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f1456]) ).

fof(f1456,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_57
    | spl0_129
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1448,f899]) ).

fof(f899,plain,
    ( ~ c3_1(a843)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f897,plain,
    ( spl0_129
  <=> c3_1(a843) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1448,plain,
    ( c3_1(a843)
    | ~ spl0_28
    | ~ spl0_57
    | ~ spl0_131 ),
    inference(resolution,[],[f1441,f909]) ).

fof(f909,plain,
    ( c1_1(a843)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f907]) ).

fof(f907,plain,
    ( spl0_131
  <=> c1_1(a843) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1434,plain,
    ( ~ spl0_34
    | ~ spl0_48
    | spl0_136
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f1433]) ).

fof(f1433,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_48
    | spl0_136
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1424,f936]) ).

fof(f936,plain,
    ( ~ c2_1(a838)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f934]) ).

fof(f934,plain,
    ( spl0_136
  <=> c2_1(a838) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1424,plain,
    ( c2_1(a838)
    | ~ spl0_34
    | ~ spl0_48
    | ~ spl0_137 ),
    inference(resolution,[],[f1419,f941]) ).

fof(f941,plain,
    ( c1_1(a838)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f939]) ).

fof(f939,plain,
    ( spl0_137
  <=> c1_1(a838) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1419,plain,
    ( ! [X30] :
        ( ~ c1_1(X30)
        | c2_1(X30) )
    | ~ spl0_34
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f459,f400]) ).

fof(f1395,plain,
    ( ~ spl0_169
    | ~ spl0_67
    | ~ spl0_25
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1174,f571,f361,f566,f1389]) ).

fof(f1174,plain,
    ( ~ c2_1(a875)
    | ~ c1_1(a875)
    | ~ spl0_25
    | ~ spl0_68 ),
    inference(resolution,[],[f573,f362]) ).

fof(f1387,plain,
    ( ~ spl0_67
    | ~ spl0_25
    | ~ spl0_44
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1377,f571,f441,f361,f566]) ).

fof(f1377,plain,
    ( ~ c2_1(a875)
    | ~ spl0_25
    | ~ spl0_44
    | ~ spl0_68 ),
    inference(resolution,[],[f1351,f573]) ).

fof(f1382,plain,
    ( ~ spl0_25
    | ~ spl0_44
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(avatar_contradiction_clause,[],[f1381]) ).

fof(f1381,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_44
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(subsumption_resolution,[],[f1375,f776]) ).

fof(f1375,plain,
    ( ~ c2_1(a861)
    | ~ spl0_25
    | ~ spl0_44
    | ~ spl0_107 ),
    inference(resolution,[],[f1351,f781]) ).

fof(f1367,plain,
    ( spl0_168
    | ~ spl0_36
    | spl0_108
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1366,f795,f785,f406,f1358]) ).

fof(f1366,plain,
    ( c2_1(a859)
    | ~ spl0_36
    | spl0_108
    | ~ spl0_110 ),
    inference(subsumption_resolution,[],[f1363,f787]) ).

fof(f1363,plain,
    ( c2_1(a859)
    | c3_1(a859)
    | ~ spl0_36
    | ~ spl0_110 ),
    inference(resolution,[],[f797,f407]) ).

fof(f1355,plain,
    ( ~ spl0_47
    | spl0_126
    | spl0_127
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f1354]) ).

fof(f1354,plain,
    ( $false
    | ~ spl0_47
    | spl0_126
    | spl0_127
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f1353,f883]) ).

fof(f1353,plain,
    ( c2_1(a844)
    | ~ spl0_47
    | spl0_127
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f1352,f888]) ).

fof(f1352,plain,
    ( c1_1(a844)
    | c2_1(a844)
    | ~ spl0_47
    | ~ spl0_128 ),
    inference(resolution,[],[f893,f455]) ).

fof(f1305,plain,
    ( ~ spl0_30
    | ~ spl0_35
    | ~ spl0_160
    | ~ spl0_161 ),
    inference(avatar_contradiction_clause,[],[f1304]) ).

fof(f1304,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_35
    | ~ spl0_160
    | ~ spl0_161 ),
    inference(subsumption_resolution,[],[f1294,f1064]) ).

fof(f1064,plain,
    ( c2_1(a828)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1062]) ).

fof(f1294,plain,
    ( ~ c2_1(a828)
    | ~ spl0_30
    | ~ spl0_35
    | ~ spl0_161 ),
    inference(resolution,[],[f1267,f1069]) ).

fof(f1267,plain,
    ( ! [X13] :
        ( ~ c1_1(X13)
        | ~ c2_1(X13) )
    | ~ spl0_30
    | ~ spl0_35 ),
    inference(subsumption_resolution,[],[f403,f382]) ).

fof(f1292,plain,
    ( spl0_164
    | spl0_132
    | ~ spl0_36
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1232,f923,f406,f913,f1262]) ).

fof(f1232,plain,
    ( c2_1(a841)
    | c3_1(a841)
    | ~ spl0_36
    | ~ spl0_134 ),
    inference(resolution,[],[f925,f407]) ).

fof(f1258,plain,
    ( spl0_102
    | spl0_163
    | ~ spl0_47
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1201,f758,f454,f1255,f753]) ).

fof(f1201,plain,
    ( c1_1(a863)
    | c2_1(a863)
    | ~ spl0_47
    | ~ spl0_103 ),
    inference(resolution,[],[f455,f760]) ).

fof(f1226,plain,
    ( ~ spl0_28
    | spl0_93
    | ~ spl0_94
    | ~ spl0_95 ),
    inference(avatar_contradiction_clause,[],[f1225]) ).

fof(f1225,plain,
    ( $false
    | ~ spl0_28
    | spl0_93
    | ~ spl0_94
    | ~ spl0_95 ),
    inference(subsumption_resolution,[],[f1224,f712]) ).

fof(f712,plain,
    ( c1_1(a866)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f710,plain,
    ( spl0_94
  <=> c1_1(a866) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1224,plain,
    ( ~ c1_1(a866)
    | ~ spl0_28
    | spl0_93
    | ~ spl0_95 ),
    inference(subsumption_resolution,[],[f1219,f707]) ).

fof(f707,plain,
    ( ~ c3_1(a866)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f1219,plain,
    ( c3_1(a866)
    | ~ c1_1(a866)
    | ~ spl0_28
    | ~ spl0_95 ),
    inference(resolution,[],[f717,f374]) ).

fof(f1223,plain,
    ( ~ spl0_162
    | ~ spl0_25
    | ~ spl0_94
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1222,f715,f710,f361,f1213]) ).

fof(f1222,plain,
    ( ~ c2_1(a866)
    | ~ spl0_25
    | ~ spl0_94
    | ~ spl0_95 ),
    inference(subsumption_resolution,[],[f1218,f712]) ).

fof(f1218,plain,
    ( ~ c2_1(a866)
    | ~ c1_1(a866)
    | ~ spl0_25
    | ~ spl0_95 ),
    inference(resolution,[],[f717,f362]) ).

fof(f1221,plain,
    ( spl0_162
    | ~ spl0_36
    | spl0_93
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1220,f715,f705,f406,f1213]) ).

fof(f1220,plain,
    ( c2_1(a866)
    | ~ spl0_36
    | spl0_93
    | ~ spl0_95 ),
    inference(subsumption_resolution,[],[f1217,f707]) ).

fof(f1217,plain,
    ( c2_1(a866)
    | c3_1(a866)
    | ~ spl0_36
    | ~ spl0_95 ),
    inference(resolution,[],[f717,f407]) ).

fof(f1216,plain,
    ( ~ spl0_94
    | spl0_162
    | ~ spl0_34
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1211,f705,f399,f1213,f710]) ).

fof(f1211,plain,
    ( c2_1(a866)
    | ~ c1_1(a866)
    | ~ spl0_34
    | spl0_93 ),
    inference(resolution,[],[f707,f400]) ).

fof(f1207,plain,
    ( ~ spl0_25
    | ~ spl0_42
    | ~ spl0_66
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(avatar_contradiction_clause,[],[f1206]) ).

fof(f1206,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_42
    | ~ spl0_66
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(subsumption_resolution,[],[f1178,f1177]) ).

fof(f1177,plain,
    ( ~ c1_1(a875)
    | ~ spl0_25
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(subsumption_resolution,[],[f1174,f568]) ).

fof(f1178,plain,
    ( c1_1(a875)
    | ~ spl0_42
    | ~ spl0_66
    | ~ spl0_68 ),
    inference(subsumption_resolution,[],[f1175,f563]) ).

fof(f1175,plain,
    ( c1_1(a875)
    | ~ c3_1(a875)
    | ~ spl0_42
    | ~ spl0_68 ),
    inference(resolution,[],[f573,f432]) ).

fof(f1191,plain,
    ( ~ spl0_69
    | ~ spl0_30
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1187,f587,f582,f381,f577]) ).

fof(f577,plain,
    ( spl0_69
  <=> c3_1(a857) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f582,plain,
    ( spl0_70
  <=> c2_1(a857) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f587,plain,
    ( spl0_71
  <=> c1_1(a857) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1187,plain,
    ( ~ c3_1(a857)
    | ~ spl0_30
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(subsumption_resolution,[],[f1183,f589]) ).

fof(f589,plain,
    ( c1_1(a857)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f1183,plain,
    ( ~ c1_1(a857)
    | ~ c3_1(a857)
    | ~ spl0_30
    | ~ spl0_70 ),
    inference(resolution,[],[f382,f584]) ).

fof(f584,plain,
    ( c2_1(a857)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f1172,plain,
    ( ~ spl0_28
    | ~ spl0_46
    | ~ spl0_64
    | spl0_147
    | spl0_149 ),
    inference(avatar_contradiction_clause,[],[f1171]) ).

fof(f1171,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_46
    | ~ spl0_64
    | spl0_147
    | spl0_149 ),
    inference(subsumption_resolution,[],[f1166,f1005]) ).

fof(f1166,plain,
    ( c1_1(a832)
    | ~ spl0_28
    | ~ spl0_46
    | ~ spl0_64
    | spl0_147 ),
    inference(resolution,[],[f1164,f995]) ).

fof(f1164,plain,
    ( ! [X92] :
        ( c3_1(X92)
        | c1_1(X92) )
    | ~ spl0_28
    | ~ spl0_46
    | ~ spl0_64 ),
    inference(subsumption_resolution,[],[f545,f1103]) ).

fof(f1103,plain,
    ( ! [X26] :
        ( ~ c0_1(X26)
        | c3_1(X26) )
    | ~ spl0_28
    | ~ spl0_46 ),
    inference(subsumption_resolution,[],[f450,f374]) ).

fof(f1163,plain,
    ( ~ spl0_34
    | ~ spl0_42
    | ~ spl0_48
    | spl0_102
    | ~ spl0_103
    | ~ spl0_104 ),
    inference(avatar_contradiction_clause,[],[f1162]) ).

fof(f1162,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_42
    | ~ spl0_48
    | spl0_102
    | ~ spl0_103
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f1159,f1121]) ).

fof(f1121,plain,
    ( c1_1(a863)
    | ~ spl0_42
    | ~ spl0_103
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f1118,f760]) ).

fof(f1118,plain,
    ( c1_1(a863)
    | ~ c3_1(a863)
    | ~ spl0_42
    | ~ spl0_104 ),
    inference(resolution,[],[f765,f432]) ).

fof(f1159,plain,
    ( ~ c1_1(a863)
    | ~ spl0_34
    | ~ spl0_48
    | spl0_102 ),
    inference(resolution,[],[f1147,f755]) ).

fof(f1147,plain,
    ( ! [X30] :
        ( c2_1(X30)
        | ~ c1_1(X30) )
    | ~ spl0_34
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f459,f400]) ).

fof(f1141,plain,
    ( ~ spl0_25
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(avatar_contradiction_clause,[],[f1140]) ).

fof(f1140,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(subsumption_resolution,[],[f1139,f600]) ).

fof(f600,plain,
    ( c1_1(a849)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f598,plain,
    ( spl0_73
  <=> c1_1(a849) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1139,plain,
    ( ~ c1_1(a849)
    | ~ spl0_25
    | ~ spl0_72
    | ~ spl0_74 ),
    inference(subsumption_resolution,[],[f1137,f595]) ).

fof(f595,plain,
    ( c2_1(a849)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f593,plain,
    ( spl0_72
  <=> c2_1(a849) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1137,plain,
    ( ~ c2_1(a849)
    | ~ c1_1(a849)
    | ~ spl0_25
    | ~ spl0_74 ),
    inference(resolution,[],[f362,f605]) ).

fof(f605,plain,
    ( c0_1(a849)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f603]) ).

fof(f603,plain,
    ( spl0_74
  <=> c0_1(a849) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1133,plain,
    ( ~ spl0_32
    | ~ spl0_49
    | spl0_102
    | ~ spl0_104 ),
    inference(avatar_contradiction_clause,[],[f1132]) ).

fof(f1132,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_49
    | spl0_102
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f1129,f755]) ).

fof(f1129,plain,
    ( c2_1(a863)
    | ~ spl0_32
    | ~ spl0_49
    | ~ spl0_104 ),
    inference(resolution,[],[f1114,f765]) ).

fof(f1114,plain,
    ( ! [X36] :
        ( ~ c0_1(X36)
        | c2_1(X36) )
    | ~ spl0_32
    | ~ spl0_49 ),
    inference(subsumption_resolution,[],[f465,f392]) ).

fof(f1075,plain,
    ( ~ spl0_22
    | ~ spl0_75
    | ~ spl0_76
    | ~ spl0_77 ),
    inference(avatar_contradiction_clause,[],[f1074]) ).

fof(f1074,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_75
    | ~ spl0_76
    | ~ spl0_77 ),
    inference(subsumption_resolution,[],[f1073,f616]) ).

fof(f1073,plain,
    ( ~ c1_1(a839)
    | ~ spl0_22
    | ~ spl0_75
    | ~ spl0_77 ),
    inference(subsumption_resolution,[],[f1072,f611]) ).

fof(f1072,plain,
    ( ~ c3_1(a839)
    | ~ c1_1(a839)
    | ~ spl0_22
    | ~ spl0_77 ),
    inference(resolution,[],[f349,f621]) ).

fof(f1070,plain,
    ( ~ spl0_3
    | spl0_161 ),
    inference(avatar_split_clause,[],[f8,f1067,f263]) ).

fof(f263,plain,
    ( spl0_3
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f8,plain,
    ( c1_1(a828)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp21
      | hskp14 )
    & ( hskp1
      | hskp11
      | hskp0 )
    & ( hskp16
      | hskp17
      | hskp2 )
    & ( hskp23
      | hskp30
      | hskp19 )
    & ( hskp21
      | hskp7 )
    & ( hskp21
      | hskp10
      | hskp7 )
    & ( hskp16
      | hskp8
      | hskp31 )
    & ( hskp4
      | hskp14
      | hskp9 )
    & ( hskp6
      | hskp22
      | hskp9 )
    & ( hskp10
      | hskp28 )
    & ( hskp1
      | hskp25
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c1_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp27
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp29
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp16
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c0_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp22
      | ! [X4] :
          ( ~ c1_1(X4)
          | ~ c0_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp19
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c0_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c2_1(X6)
          | ~ c1_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c0_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c1_1(X10)
          | ~ c0_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp24
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X13] :
          ( ~ c2_1(X13)
          | ~ c1_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c1_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp0
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp26
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp5
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp13
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp22
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp30
      | ! [X20] :
          ( ~ c2_1(X20)
          | ~ c1_1(X20)
          | ~ c0_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X22] :
          ( ~ c2_1(X22)
          | ~ c1_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c2_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp28
      | ! [X24] :
          ( ~ c2_1(X24)
          | c3_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c2_1(X25)
          | ~ c1_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c0_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X27] :
          ( ~ c1_1(X27)
          | ~ c0_1(X27)
          | c2_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c0_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp28
      | ! [X29] :
          ( ~ c3_1(X29)
          | c2_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c1_1(X30)
          | c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c3_1(X31)
          | c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X32] :
          ( ~ c0_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c3_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X34] :
          ( ~ c0_1(X34)
          | c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c3_1(X35)
          | c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp19
      | ! [X36] :
          ( ~ c0_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp9
      | ! [X37] :
          ( ~ c0_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X38] :
          ( ~ c2_1(X38)
          | ~ c0_1(X38)
          | c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c0_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X40] :
          ( ~ c1_1(X40)
          | ~ c0_1(X40)
          | c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c0_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c0_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c0_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp31
      | ! [X44] :
          ( c3_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp9
      | ! [X45] :
          ( c3_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X46] :
          ( ~ c1_1(X46)
          | ~ c0_1(X46)
          | c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c3_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( ~ c2_1(X48)
          | ~ c0_1(X48)
          | c3_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c2_1(X49)
          | ~ c0_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c3_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp2
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c0_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c2_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c1_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c0_1(X57)
          | c3_1(X57)
          | c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp22
      | ! [X59] :
          ( ~ c2_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( ~ c3_1(X60)
          | ~ c2_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c0_1(X61)
          | c3_1(X61)
          | c2_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X63] :
          ( ~ c3_1(X63)
          | c2_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp19
      | ! [X65] :
          ( ~ c2_1(X65)
          | c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X66] :
          ( ~ c3_1(X66)
          | ~ c1_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | c3_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X68] :
          ( ~ c3_1(X68)
          | ~ c1_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c2_1(X69)
          | c3_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp17
      | ! [X70] :
          ( ~ c1_1(X70)
          | c3_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp30
      | ! [X71] :
          ( ~ c3_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X72] :
          ( ~ c2_1(X72)
          | ~ c1_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X74] :
          ( ~ c2_1(X74)
          | ~ c0_1(X74)
          | c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c3_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X76] :
          ( ~ c1_1(X76)
          | ~ c0_1(X76)
          | c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X78] :
          ( ~ c1_1(X78)
          | ~ c0_1(X78)
          | c2_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp14
      | ! [X80] :
          ( ~ c1_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp29
      | ! [X81] :
          ( ~ c1_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp11
      | ! [X82] :
          ( c3_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X83] :
          ( c3_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X84] :
          ( ~ c2_1(X84)
          | ~ c1_1(X84)
          | ~ c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X86] :
          ( ~ c0_1(X86)
          | c3_1(X86)
          | c2_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c3_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X88] :
          ( ~ c3_1(X88)
          | ~ c2_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c2_1(X89)
          | ~ c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c3_1(X90)
          | c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp9
      | ! [X91] :
          ( ~ c2_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp28
      | ! [X92] :
          ( c3_1(X92)
          | c1_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X93] :
          ( ~ c3_1(X93)
          | ~ c2_1(X93)
          | ~ c0_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c1_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X95] :
          ( ~ c3_1(X95)
          | ~ c2_1(X95)
          | ~ c0_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X97] :
          ( ~ c3_1(X97)
          | ~ c1_1(X97)
          | c2_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c3_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X99] :
          ( ~ c0_1(X99)
          | c2_1(X99)
          | c1_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c3_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp5
      | ! [X101] :
          ( c2_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X102] :
          ( ~ c3_1(X102)
          | ~ c2_1(X102)
          | ~ c0_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X104] :
          ( ~ c3_1(X104)
          | ~ c2_1(X104)
          | ~ c0_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( c2_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X106] :
          ( ~ c3_1(X106)
          | ~ c1_1(X106)
          | c2_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c2_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X108] :
          ( ~ c3_1(X108)
          | c2_1(X108)
          | c1_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c2_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X110] :
          ( c3_1(X110)
          | c2_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c2_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a875)
        & c2_1(a875)
        & c0_1(a875)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a857)
        & c2_1(a857)
        & c1_1(a857)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a849)
        & c1_1(a849)
        & c0_1(a849)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a839)
        & c1_1(a839)
        & c0_1(a839)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c0_1(a919)
        & c3_1(a919)
        & c2_1(a919)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a901)
        & ~ c2_1(a901)
        & c0_1(a901)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a890)
        & ~ c0_1(a890)
        & c2_1(a890)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a884)
        & c3_1(a884)
        & c1_1(a884)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a868)
        & ~ c1_1(a868)
        & c2_1(a868)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a866)
        & c1_1(a866)
        & c0_1(a866)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a865)
        & ~ c0_1(a865)
        & c2_1(a865)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a864)
        & ~ c0_1(a864)
        & c1_1(a864)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a863)
        & c3_1(a863)
        & c0_1(a863)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a861)
        & c2_1(a861)
        & c0_1(a861)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a859)
        & ~ c1_1(a859)
        & c0_1(a859)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a858)
        & ~ c1_1(a858)
        & ~ c0_1(a858)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a853)
        & c3_1(a853)
        & c1_1(a853)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a851)
        & c2_1(a851)
        & c1_1(a851)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a846)
        & ~ c0_1(a846)
        & c3_1(a846)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c1_1(a845)
        & ~ c0_1(a845)
        & c3_1(a845)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a844)
        & ~ c1_1(a844)
        & c3_1(a844)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a843)
        & ~ c0_1(a843)
        & c1_1(a843)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a841)
        & c1_1(a841)
        & c0_1(a841)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a838)
        & ~ c2_1(a838)
        & c1_1(a838)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a836)
        & c3_1(a836)
        & c0_1(a836)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a835)
        & ~ c2_1(a835)
        & ~ c0_1(a835)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a833)
        & c2_1(a833)
        & c0_1(a833)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a832)
        & ~ c2_1(a832)
        & ~ c1_1(a832)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a831)
        & c3_1(a831)
        & c2_1(a831)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a830)
        & ~ c1_1(a830)
        & c0_1(a830)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a829)
        & ~ c1_1(a829)
        & ~ c0_1(a829)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a828)
        & c2_1(a828)
        & c1_1(a828)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp21
      | hskp14 )
    & ( hskp1
      | hskp11
      | hskp0 )
    & ( hskp16
      | hskp17
      | hskp2 )
    & ( hskp23
      | hskp30
      | hskp19 )
    & ( hskp21
      | hskp7 )
    & ( hskp21
      | hskp10
      | hskp7 )
    & ( hskp16
      | hskp8
      | hskp31 )
    & ( hskp4
      | hskp14
      | hskp9 )
    & ( hskp6
      | hskp22
      | hskp9 )
    & ( hskp10
      | hskp28 )
    & ( hskp1
      | hskp25
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c1_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp27
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp29
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp16
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c0_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp22
      | ! [X4] :
          ( ~ c1_1(X4)
          | ~ c0_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp19
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c0_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c2_1(X6)
          | ~ c1_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c0_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c1_1(X10)
          | ~ c0_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp24
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X13] :
          ( ~ c2_1(X13)
          | ~ c1_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c1_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp0
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp26
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp5
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp13
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp22
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp30
      | ! [X20] :
          ( ~ c2_1(X20)
          | ~ c1_1(X20)
          | ~ c0_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X22] :
          ( ~ c2_1(X22)
          | ~ c1_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c2_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp28
      | ! [X24] :
          ( ~ c2_1(X24)
          | c3_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c2_1(X25)
          | ~ c1_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c0_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X27] :
          ( ~ c1_1(X27)
          | ~ c0_1(X27)
          | c2_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c0_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp28
      | ! [X29] :
          ( ~ c3_1(X29)
          | c2_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c1_1(X30)
          | c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c3_1(X31)
          | c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X32] :
          ( ~ c0_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c3_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X34] :
          ( ~ c0_1(X34)
          | c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c3_1(X35)
          | c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp19
      | ! [X36] :
          ( ~ c0_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp9
      | ! [X37] :
          ( ~ c0_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X38] :
          ( ~ c2_1(X38)
          | ~ c0_1(X38)
          | c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c0_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X40] :
          ( ~ c1_1(X40)
          | ~ c0_1(X40)
          | c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c0_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c0_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c0_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp31
      | ! [X44] :
          ( c3_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp9
      | ! [X45] :
          ( c3_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X46] :
          ( ~ c1_1(X46)
          | ~ c0_1(X46)
          | c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c3_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( ~ c2_1(X48)
          | ~ c0_1(X48)
          | c3_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c2_1(X49)
          | ~ c0_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c3_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp2
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c0_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c2_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c1_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c0_1(X57)
          | c3_1(X57)
          | c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp22
      | ! [X59] :
          ( ~ c2_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( ~ c3_1(X60)
          | ~ c2_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c0_1(X61)
          | c3_1(X61)
          | c2_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X63] :
          ( ~ c3_1(X63)
          | c2_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp19
      | ! [X65] :
          ( ~ c2_1(X65)
          | c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X66] :
          ( ~ c3_1(X66)
          | ~ c1_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | c3_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X68] :
          ( ~ c3_1(X68)
          | ~ c1_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c2_1(X69)
          | c3_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp17
      | ! [X70] :
          ( ~ c1_1(X70)
          | c3_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp30
      | ! [X71] :
          ( ~ c3_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X72] :
          ( ~ c2_1(X72)
          | ~ c1_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X74] :
          ( ~ c2_1(X74)
          | ~ c0_1(X74)
          | c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c3_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X76] :
          ( ~ c1_1(X76)
          | ~ c0_1(X76)
          | c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X78] :
          ( ~ c1_1(X78)
          | ~ c0_1(X78)
          | c2_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp14
      | ! [X80] :
          ( ~ c1_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp29
      | ! [X81] :
          ( ~ c1_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp11
      | ! [X82] :
          ( c3_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X83] :
          ( c3_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X84] :
          ( ~ c2_1(X84)
          | ~ c1_1(X84)
          | ~ c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X86] :
          ( ~ c0_1(X86)
          | c3_1(X86)
          | c2_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c3_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X88] :
          ( ~ c3_1(X88)
          | ~ c2_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c2_1(X89)
          | ~ c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c3_1(X90)
          | c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp9
      | ! [X91] :
          ( ~ c2_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp28
      | ! [X92] :
          ( c3_1(X92)
          | c1_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X93] :
          ( ~ c3_1(X93)
          | ~ c2_1(X93)
          | ~ c0_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c1_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X95] :
          ( ~ c3_1(X95)
          | ~ c2_1(X95)
          | ~ c0_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X97] :
          ( ~ c3_1(X97)
          | ~ c1_1(X97)
          | c2_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c3_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X99] :
          ( ~ c0_1(X99)
          | c2_1(X99)
          | c1_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c3_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp5
      | ! [X101] :
          ( c2_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X102] :
          ( ~ c3_1(X102)
          | ~ c2_1(X102)
          | ~ c0_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X104] :
          ( ~ c3_1(X104)
          | ~ c2_1(X104)
          | ~ c0_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( c2_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X106] :
          ( ~ c3_1(X106)
          | ~ c1_1(X106)
          | c2_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c2_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X108] :
          ( ~ c3_1(X108)
          | c2_1(X108)
          | c1_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c2_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X110] :
          ( c3_1(X110)
          | c2_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c2_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a875)
        & c2_1(a875)
        & c0_1(a875)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a857)
        & c2_1(a857)
        & c1_1(a857)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a849)
        & c1_1(a849)
        & c0_1(a849)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a839)
        & c1_1(a839)
        & c0_1(a839)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c0_1(a919)
        & c3_1(a919)
        & c2_1(a919)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a901)
        & ~ c2_1(a901)
        & c0_1(a901)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a890)
        & ~ c0_1(a890)
        & c2_1(a890)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a884)
        & c3_1(a884)
        & c1_1(a884)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a868)
        & ~ c1_1(a868)
        & c2_1(a868)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a866)
        & c1_1(a866)
        & c0_1(a866)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a865)
        & ~ c0_1(a865)
        & c2_1(a865)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a864)
        & ~ c0_1(a864)
        & c1_1(a864)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a863)
        & c3_1(a863)
        & c0_1(a863)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a861)
        & c2_1(a861)
        & c0_1(a861)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a859)
        & ~ c1_1(a859)
        & c0_1(a859)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a858)
        & ~ c1_1(a858)
        & ~ c0_1(a858)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a853)
        & c3_1(a853)
        & c1_1(a853)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a851)
        & c2_1(a851)
        & c1_1(a851)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a846)
        & ~ c0_1(a846)
        & c3_1(a846)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c1_1(a845)
        & ~ c0_1(a845)
        & c3_1(a845)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a844)
        & ~ c1_1(a844)
        & c3_1(a844)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a843)
        & ~ c0_1(a843)
        & c1_1(a843)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a841)
        & c1_1(a841)
        & c0_1(a841)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a838)
        & ~ c2_1(a838)
        & c1_1(a838)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a836)
        & c3_1(a836)
        & c0_1(a836)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a835)
        & ~ c2_1(a835)
        & ~ c0_1(a835)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a833)
        & c2_1(a833)
        & c0_1(a833)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a832)
        & ~ c2_1(a832)
        & ~ c1_1(a832)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a831)
        & c3_1(a831)
        & c2_1(a831)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a830)
        & ~ c1_1(a830)
        & c0_1(a830)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a829)
        & ~ c1_1(a829)
        & ~ c0_1(a829)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a828)
        & c2_1(a828)
        & c1_1(a828)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp21
      | hskp14 )
    & ( hskp1
      | hskp11
      | hskp0 )
    & ( hskp16
      | hskp17
      | hskp2 )
    & ( hskp23
      | hskp30
      | hskp19 )
    & ( hskp21
      | hskp7 )
    & ( hskp21
      | hskp10
      | hskp7 )
    & ( hskp16
      | hskp8
      | hskp31 )
    & ( hskp4
      | hskp14
      | hskp9 )
    & ( hskp6
      | hskp22
      | hskp9 )
    & ( hskp10
      | hskp28 )
    & ( hskp1
      | hskp25
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c1_1(X0)
            | ~ c0_1(X0) ) ) )
    & ( hskp25
      | hskp27
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c1_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp8
      | hskp29
      | ! [X2] :
          ( ndr1_0
         => ( ~ c2_1(X2)
            | ~ c1_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp6
      | hskp16
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c0_1(X3)
            | c3_1(X3) ) ) )
    & ( hskp4
      | hskp22
      | ! [X4] :
          ( ndr1_0
         => ( ~ c1_1(X4)
            | ~ c0_1(X4)
            | c3_1(X4) ) ) )
    & ( hskp0
      | hskp19
      | ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | ~ c0_1(X5)
            | c2_1(X5) ) ) )
    & ( hskp18
      | ! [X6] :
          ( ndr1_0
         => ( ~ c3_1(X6)
            | ~ c2_1(X6)
            | ~ c1_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c0_1(X7)
            | c2_1(X7) ) ) )
    & ( hskp25
      | ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c1_1(X8)
            | ~ c0_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c0_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp14
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c1_1(X10)
            | ~ c0_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c0_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp4
      | hskp24
      | ! [X12] :
          ( ndr1_0
         => ( ~ c1_1(X12)
            | ~ c0_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp17
      | ! [X13] :
          ( ndr1_0
         => ( ~ c2_1(X13)
            | ~ c1_1(X13)
            | c3_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c1_1(X14)
            | c3_1(X14)
            | c2_1(X14) ) ) )
    & ( hskp3
      | hskp0
      | ! [X15] :
          ( ndr1_0
         => ( ~ c0_1(X15)
            | c3_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp20
      | hskp26
      | ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | c3_1(X16)
            | c2_1(X16) ) ) )
    & ( hskp16
      | hskp5
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c2_1(X17)
            | c1_1(X17) ) ) )
    & ( hskp1
      | hskp13
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c0_1(X18)
            | c1_1(X18) ) ) )
    & ( hskp8
      | hskp22
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c0_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp30
      | ! [X20] :
          ( ndr1_0
         => ( ~ c2_1(X20)
            | ~ c1_1(X20)
            | ~ c0_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c0_1(X21)
            | c1_1(X21) ) ) )
    & ( hskp28
      | ! [X22] :
          ( ndr1_0
         => ( ~ c2_1(X22)
            | ~ c1_1(X22)
            | c3_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c2_1(X23)
            | ~ c0_1(X23)
            | c1_1(X23) ) ) )
    & ( hskp7
      | hskp28
      | ! [X24] :
          ( ndr1_0
         => ( ~ c2_1(X24)
            | c3_1(X24)
            | c1_1(X24) ) ) )
    & ( hskp25
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | ~ c2_1(X25)
            | ~ c1_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c0_1(X26)
            | c3_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp31
      | ! [X27] :
          ( ndr1_0
         => ( ~ c1_1(X27)
            | ~ c0_1(X27)
            | c2_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c0_1(X28)
            | c3_1(X28)
            | c1_1(X28) ) ) )
    & ( hskp3
      | hskp28
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | c2_1(X29)
            | c1_1(X29) ) ) )
    & ( hskp17
      | ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | ~ c1_1(X30)
            | c2_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c3_1(X31)
            | c2_1(X31)
            | c1_1(X31) ) ) )
    & ( hskp13
      | ! [X32] :
          ( ndr1_0
         => ( ~ c0_1(X32)
            | c3_1(X32)
            | c1_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c3_1(X33)
            | c2_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp24
      | ! [X34] :
          ( ndr1_0
         => ( ~ c0_1(X34)
            | c3_1(X34)
            | c1_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | c2_1(X35)
            | c1_1(X35) ) ) )
    & ( hskp11
      | hskp19
      | ! [X36] :
          ( ndr1_0
         => ( ~ c0_1(X36)
            | c2_1(X36)
            | c1_1(X36) ) ) )
    & ( hskp7
      | hskp9
      | ! [X37] :
          ( ndr1_0
         => ( ~ c0_1(X37)
            | c2_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp14
      | ! [X38] :
          ( ndr1_0
         => ( ~ c2_1(X38)
            | ~ c0_1(X38)
            | c3_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c0_1(X39)
            | c2_1(X39)
            | c1_1(X39) ) ) )
    & ( hskp17
      | ! [X40] :
          ( ndr1_0
         => ( ~ c1_1(X40)
            | ~ c0_1(X40)
            | c3_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c0_1(X41)
            | c2_1(X41)
            | c1_1(X41) ) ) )
    & ( hskp3
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | ~ c0_1(X42)
            | c2_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c0_1(X43)
            | c2_1(X43)
            | c1_1(X43) ) ) )
    & ( hskp19
      | hskp31
      | ! [X44] :
          ( ndr1_0
         => ( c3_1(X44)
            | c2_1(X44)
            | c1_1(X44) ) ) )
    & ( hskp2
      | hskp9
      | ! [X45] :
          ( ndr1_0
         => ( c3_1(X45)
            | c2_1(X45)
            | c1_1(X45) ) ) )
    & ( hskp29
      | ! [X46] :
          ( ndr1_0
         => ( ~ c1_1(X46)
            | ~ c0_1(X46)
            | c3_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c3_1(X47)
            | c2_1(X47)
            | c1_1(X47) ) ) )
    & ( ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | ~ c0_1(X48)
            | c3_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | ~ c0_1(X49)
            | c1_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c3_1(X50)
            | c2_1(X50)
            | c1_1(X50) ) ) )
    & ( hskp12
      | hskp2
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c2_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp5
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c0_1(X52)
            | c1_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c2_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp23
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c2_1(X54)
            | ~ c0_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c1_1(X55)
            | c0_1(X55) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c1_1(X56)
            | c2_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c0_1(X57)
            | c3_1(X57)
            | c2_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c1_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp19
      | hskp22
      | ! [X59] :
          ( ndr1_0
         => ( ~ c2_1(X59)
            | ~ c1_1(X59)
            | c0_1(X59) ) ) )
    & ( ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | ~ c2_1(X60)
            | ~ c1_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c0_1(X61)
            | c3_1(X61)
            | c2_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c2_1(X62)
            | ~ c1_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp21
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | c2_1(X63)
            | c1_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c2_1(X64)
            | ~ c1_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp20
      | hskp19
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | c3_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp11
      | ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | ~ c1_1(X66)
            | ~ c0_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | c3_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp18
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | ~ c1_1(X68)
            | c0_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | c3_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp4
      | hskp17
      | ! [X70] :
          ( ndr1_0
         => ( ~ c1_1(X70)
            | c3_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp16
      | hskp30
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | c2_1(X71)
            | c0_1(X71) ) ) )
    & ( hskp2
      | ! [X72] :
          ( ndr1_0
         => ( ~ c2_1(X72)
            | ~ c1_1(X72)
            | ~ c0_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | c2_1(X73)
            | c0_1(X73) ) ) )
    & ( hskp4
      | ! [X74] :
          ( ndr1_0
         => ( ~ c2_1(X74)
            | ~ c0_1(X74)
            | c3_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | c2_1(X75)
            | c0_1(X75) ) ) )
    & ( hskp29
      | ! [X76] :
          ( ndr1_0
         => ( ~ c1_1(X76)
            | ~ c0_1(X76)
            | c3_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | c2_1(X77)
            | c0_1(X77) ) ) )
    & ( hskp15
      | ! [X78] :
          ( ndr1_0
         => ( ~ c1_1(X78)
            | ~ c0_1(X78)
            | c2_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | c2_1(X79)
            | c0_1(X79) ) ) )
    & ( hskp12
      | hskp14
      | ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | c2_1(X80)
            | c0_1(X80) ) ) )
    & ( hskp3
      | hskp29
      | ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | c2_1(X81)
            | c0_1(X81) ) ) )
    & ( hskp4
      | hskp11
      | ! [X82] :
          ( ndr1_0
         => ( c3_1(X82)
            | c2_1(X82)
            | c0_1(X82) ) ) )
    & ( hskp13
      | hskp12
      | ! [X83] :
          ( ndr1_0
         => ( c3_1(X83)
            | c2_1(X83)
            | c0_1(X83) ) ) )
    & ( hskp11
      | ! [X84] :
          ( ndr1_0
         => ( ~ c2_1(X84)
            | ~ c1_1(X84)
            | ~ c0_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( c3_1(X85)
            | c2_1(X85)
            | c0_1(X85) ) ) )
    & ( hskp10
      | ! [X86] :
          ( ndr1_0
         => ( ~ c0_1(X86)
            | c3_1(X86)
            | c2_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( c3_1(X87)
            | c2_1(X87)
            | c0_1(X87) ) ) )
    & ( ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | ~ c2_1(X88)
            | ~ c0_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c2_1(X89)
            | ~ c1_1(X89)
            | c0_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | c1_1(X90)
            | c0_1(X90) ) ) )
    & ( hskp0
      | hskp9
      | ! [X91] :
          ( ndr1_0
         => ( ~ c2_1(X91)
            | c1_1(X91)
            | c0_1(X91) ) ) )
    & ( hskp1
      | hskp28
      | ! [X92] :
          ( ndr1_0
         => ( c3_1(X92)
            | c1_1(X92)
            | c0_1(X92) ) ) )
    & ( hskp8
      | ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | ~ c2_1(X93)
            | ~ c0_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | c1_1(X94)
            | c0_1(X94) ) ) )
    & ( hskp5
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | ~ c2_1(X95)
            | ~ c0_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( c3_1(X96)
            | c1_1(X96)
            | c0_1(X96) ) ) )
    & ( hskp7
      | ! [X97] :
          ( ndr1_0
         => ( ~ c3_1(X97)
            | ~ c1_1(X97)
            | c2_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( c3_1(X98)
            | c1_1(X98)
            | c0_1(X98) ) ) )
    & ( hskp6
      | ! [X99] :
          ( ndr1_0
         => ( ~ c0_1(X99)
            | c2_1(X99)
            | c1_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( c3_1(X100)
            | c1_1(X100)
            | c0_1(X100) ) ) )
    & ( hskp4
      | hskp5
      | ! [X101] :
          ( ndr1_0
         => ( c2_1(X101)
            | c1_1(X101)
            | c0_1(X101) ) ) )
    & ( hskp4
      | ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | ~ c2_1(X102)
            | ~ c0_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( c2_1(X103)
            | c1_1(X103)
            | c0_1(X103) ) ) )
    & ( hskp3
      | ! [X104] :
          ( ndr1_0
         => ( ~ c3_1(X104)
            | ~ c2_1(X104)
            | ~ c0_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( c2_1(X105)
            | c1_1(X105)
            | c0_1(X105) ) ) )
    & ( hskp2
      | ! [X106] :
          ( ndr1_0
         => ( ~ c3_1(X106)
            | ~ c1_1(X106)
            | c2_1(X106) ) )
      | ! [X107] :
          ( ndr1_0
         => ( c2_1(X107)
            | c1_1(X107)
            | c0_1(X107) ) ) )
    & ( hskp1
      | ! [X108] :
          ( ndr1_0
         => ( ~ c3_1(X108)
            | c2_1(X108)
            | c1_1(X108) ) )
      | ! [X109] :
          ( ndr1_0
         => ( c2_1(X109)
            | c1_1(X109)
            | c0_1(X109) ) ) )
    & ( hskp0
      | ! [X110] :
          ( ndr1_0
         => ( c3_1(X110)
            | c2_1(X110)
            | c0_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( c2_1(X111)
            | c1_1(X111)
            | c0_1(X111) ) ) )
    & ( ( c3_1(a875)
        & c2_1(a875)
        & c0_1(a875)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a857)
        & c2_1(a857)
        & c1_1(a857)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a849)
        & c1_1(a849)
        & c0_1(a849)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a839)
        & c1_1(a839)
        & c0_1(a839)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c0_1(a919)
        & c3_1(a919)
        & c2_1(a919)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a901)
        & ~ c2_1(a901)
        & c0_1(a901)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a890)
        & ~ c0_1(a890)
        & c2_1(a890)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a884)
        & c3_1(a884)
        & c1_1(a884)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a868)
        & ~ c1_1(a868)
        & c2_1(a868)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a866)
        & c1_1(a866)
        & c0_1(a866)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a865)
        & ~ c0_1(a865)
        & c2_1(a865)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a864)
        & ~ c0_1(a864)
        & c1_1(a864)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a863)
        & c3_1(a863)
        & c0_1(a863)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a861)
        & c2_1(a861)
        & c0_1(a861)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a859)
        & ~ c1_1(a859)
        & c0_1(a859)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a858)
        & ~ c1_1(a858)
        & ~ c0_1(a858)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a853)
        & c3_1(a853)
        & c1_1(a853)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a851)
        & c2_1(a851)
        & c1_1(a851)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a846)
        & ~ c0_1(a846)
        & c3_1(a846)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c1_1(a845)
        & ~ c0_1(a845)
        & c3_1(a845)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a844)
        & ~ c1_1(a844)
        & c3_1(a844)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a843)
        & ~ c0_1(a843)
        & c1_1(a843)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a841)
        & c1_1(a841)
        & c0_1(a841)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a838)
        & ~ c2_1(a838)
        & c1_1(a838)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a836)
        & c3_1(a836)
        & c0_1(a836)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a835)
        & ~ c2_1(a835)
        & ~ c0_1(a835)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a833)
        & c2_1(a833)
        & c0_1(a833)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a832)
        & ~ c2_1(a832)
        & ~ c1_1(a832)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a831)
        & c3_1(a831)
        & c2_1(a831)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a830)
        & ~ c1_1(a830)
        & c0_1(a830)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a829)
        & ~ c1_1(a829)
        & ~ c0_1(a829)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a828)
        & c2_1(a828)
        & c1_1(a828)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp21
          | hskp14 )
        & ( hskp1
          | hskp11
          | hskp0 )
        & ( hskp16
          | hskp17
          | hskp2 )
        & ( hskp23
          | hskp30
          | hskp19 )
        & ( hskp21
          | hskp7 )
        & ( hskp21
          | hskp10
          | hskp7 )
        & ( hskp16
          | hskp8
          | hskp31 )
        & ( hskp4
          | hskp14
          | hskp9 )
        & ( hskp6
          | hskp22
          | hskp9 )
        & ( hskp10
          | hskp28 )
        & ( hskp1
          | hskp25
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c1_1(X0)
                | ~ c0_1(X0) ) ) )
        & ( hskp25
          | hskp27
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c1_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp8
          | hskp29
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp6
          | hskp16
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c0_1(X3)
                | c3_1(X3) ) ) )
        & ( hskp4
          | hskp22
          | ! [X4] :
              ( ndr1_0
             => ( ~ c1_1(X4)
                | ~ c0_1(X4)
                | c3_1(X4) ) ) )
        & ( hskp0
          | hskp19
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c0_1(X5)
                | c2_1(X5) ) ) )
        & ( hskp18
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c2_1(X6)
                | ~ c1_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c0_1(X7)
                | c2_1(X7) ) ) )
        & ( hskp25
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c1_1(X8)
                | ~ c0_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c0_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp14
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c1_1(X10)
                | ~ c0_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c0_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp4
          | hskp24
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | ~ c0_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp17
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | ~ c1_1(X13)
                | c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | c3_1(X14)
                | c2_1(X14) ) ) )
        & ( hskp3
          | hskp0
          | ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | c3_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp20
          | hskp26
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) ) )
        & ( hskp16
          | hskp5
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c2_1(X17)
                | c1_1(X17) ) ) )
        & ( hskp1
          | hskp13
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c0_1(X18)
                | c1_1(X18) ) ) )
        & ( hskp8
          | hskp22
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c0_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp30
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | ~ c1_1(X20)
                | ~ c0_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c0_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp28
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | ~ c1_1(X22)
                | c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | ~ c0_1(X23)
                | c1_1(X23) ) ) )
        & ( hskp7
          | hskp28
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | c3_1(X24)
                | c1_1(X24) ) ) )
        & ( hskp25
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c2_1(X25)
                | ~ c1_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c0_1(X26)
                | c3_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp31
          | ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | ~ c0_1(X27)
                | c2_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | c3_1(X28)
                | c1_1(X28) ) ) )
        & ( hskp3
          | hskp28
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | c2_1(X29)
                | c1_1(X29) ) ) )
        & ( hskp17
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | ~ c1_1(X30)
                | c2_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c2_1(X31)
                | c1_1(X31) ) ) )
        & ( hskp13
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | c3_1(X32)
                | c1_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c2_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp24
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c3_1(X34)
                | c1_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | c2_1(X35)
                | c1_1(X35) ) ) )
        & ( hskp11
          | hskp19
          | ! [X36] :
              ( ndr1_0
             => ( ~ c0_1(X36)
                | c2_1(X36)
                | c1_1(X36) ) ) )
        & ( hskp7
          | hskp9
          | ! [X37] :
              ( ndr1_0
             => ( ~ c0_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp14
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | ~ c0_1(X38)
                | c3_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) ) )
        & ( hskp17
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | ~ c0_1(X40)
                | c3_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | c2_1(X41)
                | c1_1(X41) ) ) )
        & ( hskp3
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c0_1(X42)
                | c2_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c0_1(X43)
                | c2_1(X43)
                | c1_1(X43) ) ) )
        & ( hskp19
          | hskp31
          | ! [X44] :
              ( ndr1_0
             => ( c3_1(X44)
                | c2_1(X44)
                | c1_1(X44) ) ) )
        & ( hskp2
          | hskp9
          | ! [X45] :
              ( ndr1_0
             => ( c3_1(X45)
                | c2_1(X45)
                | c1_1(X45) ) ) )
        & ( hskp29
          | ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | ~ c0_1(X46)
                | c3_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c3_1(X47)
                | c2_1(X47)
                | c1_1(X47) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | ~ c0_1(X48)
                | c3_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c0_1(X49)
                | c1_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c3_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) ) )
        & ( hskp12
          | hskp2
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp5
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c0_1(X52)
                | c1_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c2_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp23
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c2_1(X54)
                | ~ c0_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c1_1(X55)
                | c0_1(X55) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c2_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | c3_1(X57)
                | c2_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp19
          | hskp22
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c2_1(X60)
                | ~ c1_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | c3_1(X61)
                | c2_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp21
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | c2_1(X63)
                | c1_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp20
          | hskp19
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | c3_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp11
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c1_1(X66)
                | ~ c0_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | c3_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp18
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c1_1(X68)
                | c0_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | c3_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp4
          | hskp17
          | ! [X70] :
              ( ndr1_0
             => ( ~ c1_1(X70)
                | c3_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp16
          | hskp30
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | c2_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp2
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c1_1(X72)
                | ~ c0_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c2_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp4
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | ~ c0_1(X74)
                | c3_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c2_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp29
          | ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | ~ c0_1(X76)
                | c3_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c2_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp15
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | ~ c0_1(X78)
                | c2_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | c2_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp12
          | hskp14
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | c2_1(X80)
                | c0_1(X80) ) ) )
        & ( hskp3
          | hskp29
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | c2_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp4
          | hskp11
          | ! [X82] :
              ( ndr1_0
             => ( c3_1(X82)
                | c2_1(X82)
                | c0_1(X82) ) ) )
        & ( hskp13
          | hskp12
          | ! [X83] :
              ( ndr1_0
             => ( c3_1(X83)
                | c2_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp11
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c1_1(X84)
                | ~ c0_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | c2_1(X85)
                | c0_1(X85) ) ) )
        & ( hskp10
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | c3_1(X86)
                | c2_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | c2_1(X87)
                | c0_1(X87) ) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c2_1(X88)
                | ~ c0_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c1_1(X89)
                | c0_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | c1_1(X90)
                | c0_1(X90) ) ) )
        & ( hskp0
          | hskp9
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | c1_1(X91)
                | c0_1(X91) ) ) )
        & ( hskp1
          | hskp28
          | ! [X92] :
              ( ndr1_0
             => ( c3_1(X92)
                | c1_1(X92)
                | c0_1(X92) ) ) )
        & ( hskp8
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c2_1(X93)
                | ~ c0_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | c1_1(X94)
                | c0_1(X94) ) ) )
        & ( hskp5
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c2_1(X95)
                | ~ c0_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( c3_1(X96)
                | c1_1(X96)
                | c0_1(X96) ) ) )
        & ( hskp7
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c1_1(X97)
                | c2_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( c3_1(X98)
                | c1_1(X98)
                | c0_1(X98) ) ) )
        & ( hskp6
          | ! [X99] :
              ( ndr1_0
             => ( ~ c0_1(X99)
                | c2_1(X99)
                | c1_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | c1_1(X100)
                | c0_1(X100) ) ) )
        & ( hskp4
          | hskp5
          | ! [X101] :
              ( ndr1_0
             => ( c2_1(X101)
                | c1_1(X101)
                | c0_1(X101) ) ) )
        & ( hskp4
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | ~ c0_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( c2_1(X103)
                | c1_1(X103)
                | c0_1(X103) ) ) )
        & ( hskp3
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c2_1(X104)
                | ~ c0_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( c2_1(X105)
                | c1_1(X105)
                | c0_1(X105) ) ) )
        & ( hskp2
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c1_1(X106)
                | c2_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( c2_1(X107)
                | c1_1(X107)
                | c0_1(X107) ) ) )
        & ( hskp1
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | c2_1(X108)
                | c1_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( c2_1(X109)
                | c1_1(X109)
                | c0_1(X109) ) ) )
        & ( hskp0
          | ! [X110] :
              ( ndr1_0
             => ( c3_1(X110)
                | c2_1(X110)
                | c0_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( c2_1(X111)
                | c1_1(X111)
                | c0_1(X111) ) ) )
        & ( ( c3_1(a875)
            & c2_1(a875)
            & c0_1(a875)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a857)
            & c2_1(a857)
            & c1_1(a857)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a849)
            & c1_1(a849)
            & c0_1(a849)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a839)
            & c1_1(a839)
            & c0_1(a839)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c0_1(a919)
            & c3_1(a919)
            & c2_1(a919)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a901)
            & ~ c2_1(a901)
            & c0_1(a901)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a890)
            & ~ c0_1(a890)
            & c2_1(a890)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a884)
            & c3_1(a884)
            & c1_1(a884)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a868)
            & ~ c1_1(a868)
            & c2_1(a868)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a866)
            & c1_1(a866)
            & c0_1(a866)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a865)
            & ~ c0_1(a865)
            & c2_1(a865)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a864)
            & ~ c0_1(a864)
            & c1_1(a864)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a863)
            & c3_1(a863)
            & c0_1(a863)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c1_1(a861)
            & c2_1(a861)
            & c0_1(a861)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a859)
            & ~ c1_1(a859)
            & c0_1(a859)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a858)
            & ~ c1_1(a858)
            & ~ c0_1(a858)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c0_1(a853)
            & c3_1(a853)
            & c1_1(a853)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a851)
            & c2_1(a851)
            & c1_1(a851)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a846)
            & ~ c0_1(a846)
            & c3_1(a846)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c1_1(a845)
            & ~ c0_1(a845)
            & c3_1(a845)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a844)
            & ~ c1_1(a844)
            & c3_1(a844)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a843)
            & ~ c0_1(a843)
            & c1_1(a843)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a841)
            & c1_1(a841)
            & c0_1(a841)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a838)
            & ~ c2_1(a838)
            & c1_1(a838)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c1_1(a836)
            & c3_1(a836)
            & c0_1(a836)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a835)
            & ~ c2_1(a835)
            & ~ c0_1(a835)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a833)
            & c2_1(a833)
            & c0_1(a833)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a832)
            & ~ c2_1(a832)
            & ~ c1_1(a832)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a831)
            & c3_1(a831)
            & c2_1(a831)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a830)
            & ~ c1_1(a830)
            & c0_1(a830)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a829)
            & ~ c1_1(a829)
            & ~ c0_1(a829)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c0_1(a828)
            & c2_1(a828)
            & c1_1(a828)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp21
          | hskp14 )
        & ( hskp1
          | hskp11
          | hskp0 )
        & ( hskp16
          | hskp17
          | hskp2 )
        & ( hskp23
          | hskp30
          | hskp19 )
        & ( hskp21
          | hskp7 )
        & ( hskp21
          | hskp10
          | hskp7 )
        & ( hskp16
          | hskp8
          | hskp31 )
        & ( hskp4
          | hskp14
          | hskp9 )
        & ( hskp6
          | hskp22
          | hskp9 )
        & ( hskp10
          | hskp28 )
        & ( hskp1
          | hskp25
          | ! [X111] :
              ( ndr1_0
             => ( ~ c3_1(X111)
                | ~ c1_1(X111)
                | ~ c0_1(X111) ) ) )
        & ( hskp25
          | hskp27
          | ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c1_1(X110)
                | ~ c0_1(X110) ) ) )
        & ( hskp8
          | hskp29
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c1_1(X109)
                | ~ c0_1(X109) ) ) )
        & ( hskp6
          | hskp16
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | ~ c0_1(X108)
                | c3_1(X108) ) ) )
        & ( hskp4
          | hskp22
          | ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | ~ c0_1(X107)
                | c3_1(X107) ) ) )
        & ( hskp0
          | hskp19
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c0_1(X106)
                | c2_1(X106) ) ) )
        & ( hskp18
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c2_1(X105)
                | ~ c1_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c0_1(X104)
                | c2_1(X104) ) ) )
        & ( hskp25
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c1_1(X103)
                | ~ c0_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c0_1(X102)
                | c2_1(X102) ) ) )
        & ( hskp14
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c1_1(X101)
                | ~ c0_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c0_1(X100)
                | c2_1(X100) ) ) )
        & ( hskp4
          | hskp24
          | ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | ~ c0_1(X99)
                | c2_1(X99) ) ) )
        & ( hskp17
          | ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | ~ c1_1(X98)
                | c3_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | c3_1(X97)
                | c2_1(X97) ) ) )
        & ( hskp3
          | hskp0
          | ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | c3_1(X96)
                | c2_1(X96) ) ) )
        & ( hskp20
          | hskp26
          | ! [X95] :
              ( ndr1_0
             => ( ~ c0_1(X95)
                | c3_1(X95)
                | c2_1(X95) ) ) )
        & ( hskp16
          | hskp5
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c2_1(X94)
                | c1_1(X94) ) ) )
        & ( hskp1
          | hskp13
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c0_1(X93)
                | c1_1(X93) ) ) )
        & ( hskp8
          | hskp22
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c0_1(X92)
                | c1_1(X92) ) ) )
        & ( hskp30
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c1_1(X91)
                | ~ c0_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c0_1(X90)
                | c1_1(X90) ) ) )
        & ( hskp28
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c1_1(X89)
                | c3_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c0_1(X88)
                | c1_1(X88) ) ) )
        & ( hskp7
          | hskp28
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | c3_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp25
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c2_1(X86)
                | ~ c1_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c3_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp31
          | ! [X84] :
              ( ndr1_0
             => ( ~ c1_1(X84)
                | ~ c0_1(X84)
                | c2_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | c3_1(X83)
                | c1_1(X83) ) ) )
        & ( hskp3
          | hskp28
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c2_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp17
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c1_1(X81)
                | c2_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp13
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c3_1(X79)
                | c1_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp24
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c3_1(X77)
                | c1_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp11
          | hskp19
          | ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | c2_1(X75)
                | c1_1(X75) ) ) )
        & ( hskp7
          | hskp9
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp14
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c0_1(X73)
                | c3_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp17
          | ! [X71] :
              ( ndr1_0
             => ( ~ c1_1(X71)
                | ~ c0_1(X71)
                | c3_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp3
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c0_1(X69)
                | c2_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp19
          | hskp31
          | ! [X67] :
              ( ndr1_0
             => ( c3_1(X67)
                | c2_1(X67)
                | c1_1(X67) ) ) )
        & ( hskp2
          | hskp9
          | ! [X66] :
              ( ndr1_0
             => ( c3_1(X66)
                | c2_1(X66)
                | c1_1(X66) ) ) )
        & ( hskp29
          | ! [X65] :
              ( ndr1_0
             => ( ~ c1_1(X65)
                | ~ c0_1(X65)
                | c3_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c3_1(X64)
                | c2_1(X64)
                | c1_1(X64) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | ~ c0_1(X63)
                | c3_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c0_1(X62)
                | c1_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c3_1(X61)
                | c2_1(X61)
                | c1_1(X61) ) ) )
        & ( hskp12
          | hskp2
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c2_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp5
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c0_1(X59)
                | c1_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp23
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c2_1(X57)
                | ~ c0_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c1_1(X55)
                | c2_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c0_1(X54)
                | c3_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c1_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp19
          | hskp22
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | ~ c1_1(X52)
                | c0_1(X52) ) ) )
        & ( ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | ~ c1_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | c3_1(X50)
                | c2_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c1_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp21
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | c2_1(X48)
                | c1_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | ~ c1_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp20
          | hskp19
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | c3_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp11
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c1_1(X45)
                | ~ c0_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | c3_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp18
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c1_1(X43)
                | c0_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | c3_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp4
          | hskp17
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | c3_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp16
          | hskp30
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp2
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | ~ c1_1(X39)
                | ~ c0_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp4
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c0_1(X37)
                | c3_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp29
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | ~ c0_1(X35)
                | c3_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp15
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | ~ c0_1(X33)
                | c2_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp12
          | hskp14
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp3
          | hskp29
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp4
          | hskp11
          | ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | c2_1(X29)
                | c0_1(X29) ) ) )
        & ( hskp13
          | hskp12
          | ! [X28] :
              ( ndr1_0
             => ( c3_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp11
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | ~ c1_1(X27)
                | ~ c0_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c3_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp10
          | ! [X25] :
              ( ndr1_0
             => ( ~ c0_1(X25)
                | c3_1(X25)
                | c2_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | c2_1(X24)
                | c0_1(X24) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c2_1(X23)
                | ~ c0_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | ~ c1_1(X22)
                | c0_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp0
          | hskp9
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp1
          | hskp28
          | ! [X19] :
              ( ndr1_0
             => ( c3_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp8
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c2_1(X18)
                | ~ c0_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp5
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c2_1(X16)
                | ~ c0_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp7
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c1_1(X14)
                | c2_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp6
          | ! [X12] :
              ( ndr1_0
             => ( ~ c0_1(X12)
                | c2_1(X12)
                | c1_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp4
          | hskp5
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp4
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c2_1(X9)
                | ~ c0_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c2_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp3
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c2_1(X7)
                | ~ c0_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp2
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c1_1(X5)
                | c2_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp1
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | c2_1(X3)
                | c1_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c2_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a875)
            & c2_1(a875)
            & c0_1(a875)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a857)
            & c2_1(a857)
            & c1_1(a857)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a849)
            & c1_1(a849)
            & c0_1(a849)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a839)
            & c1_1(a839)
            & c0_1(a839)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c0_1(a919)
            & c3_1(a919)
            & c2_1(a919)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a901)
            & ~ c2_1(a901)
            & c0_1(a901)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a890)
            & ~ c0_1(a890)
            & c2_1(a890)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a884)
            & c3_1(a884)
            & c1_1(a884)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a868)
            & ~ c1_1(a868)
            & c2_1(a868)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a866)
            & c1_1(a866)
            & c0_1(a866)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a865)
            & ~ c0_1(a865)
            & c2_1(a865)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a864)
            & ~ c0_1(a864)
            & c1_1(a864)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a863)
            & c3_1(a863)
            & c0_1(a863)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c1_1(a861)
            & c2_1(a861)
            & c0_1(a861)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a859)
            & ~ c1_1(a859)
            & c0_1(a859)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a858)
            & ~ c1_1(a858)
            & ~ c0_1(a858)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c0_1(a853)
            & c3_1(a853)
            & c1_1(a853)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a851)
            & c2_1(a851)
            & c1_1(a851)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a846)
            & ~ c0_1(a846)
            & c3_1(a846)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c1_1(a845)
            & ~ c0_1(a845)
            & c3_1(a845)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a844)
            & ~ c1_1(a844)
            & c3_1(a844)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a843)
            & ~ c0_1(a843)
            & c1_1(a843)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a841)
            & c1_1(a841)
            & c0_1(a841)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a838)
            & ~ c2_1(a838)
            & c1_1(a838)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c1_1(a836)
            & c3_1(a836)
            & c0_1(a836)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a835)
            & ~ c2_1(a835)
            & ~ c0_1(a835)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a833)
            & c2_1(a833)
            & c0_1(a833)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a832)
            & ~ c2_1(a832)
            & ~ c1_1(a832)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a831)
            & c3_1(a831)
            & c2_1(a831)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a830)
            & ~ c1_1(a830)
            & c0_1(a830)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a829)
            & ~ c1_1(a829)
            & ~ c0_1(a829)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c0_1(a828)
            & c2_1(a828)
            & c1_1(a828)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp21
        | hskp14 )
      & ( hskp1
        | hskp11
        | hskp0 )
      & ( hskp16
        | hskp17
        | hskp2 )
      & ( hskp23
        | hskp30
        | hskp19 )
      & ( hskp21
        | hskp7 )
      & ( hskp21
        | hskp10
        | hskp7 )
      & ( hskp16
        | hskp8
        | hskp31 )
      & ( hskp4
        | hskp14
        | hskp9 )
      & ( hskp6
        | hskp22
        | hskp9 )
      & ( hskp10
        | hskp28 )
      & ( hskp1
        | hskp25
        | ! [X111] :
            ( ndr1_0
           => ( ~ c3_1(X111)
              | ~ c1_1(X111)
              | ~ c0_1(X111) ) ) )
      & ( hskp25
        | hskp27
        | ! [X110] :
            ( ndr1_0
           => ( ~ c3_1(X110)
              | ~ c1_1(X110)
              | ~ c0_1(X110) ) ) )
      & ( hskp8
        | hskp29
        | ! [X109] :
            ( ndr1_0
           => ( ~ c2_1(X109)
              | ~ c1_1(X109)
              | ~ c0_1(X109) ) ) )
      & ( hskp6
        | hskp16
        | ! [X108] :
            ( ndr1_0
           => ( ~ c2_1(X108)
              | ~ c0_1(X108)
              | c3_1(X108) ) ) )
      & ( hskp4
        | hskp22
        | ! [X107] :
            ( ndr1_0
           => ( ~ c1_1(X107)
              | ~ c0_1(X107)
              | c3_1(X107) ) ) )
      & ( hskp0
        | hskp19
        | ! [X106] :
            ( ndr1_0
           => ( ~ c3_1(X106)
              | ~ c0_1(X106)
              | c2_1(X106) ) ) )
      & ( hskp18
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c2_1(X105)
              | ~ c1_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c3_1(X104)
              | ~ c0_1(X104)
              | c2_1(X104) ) ) )
      & ( hskp25
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c1_1(X103)
              | ~ c0_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c0_1(X102)
              | c2_1(X102) ) ) )
      & ( hskp14
        | ! [X101] :
            ( ndr1_0
           => ( ~ c2_1(X101)
              | ~ c1_1(X101)
              | ~ c0_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c0_1(X100)
              | c2_1(X100) ) ) )
      & ( hskp4
        | hskp24
        | ! [X99] :
            ( ndr1_0
           => ( ~ c1_1(X99)
              | ~ c0_1(X99)
              | c2_1(X99) ) ) )
      & ( hskp17
        | ! [X98] :
            ( ndr1_0
           => ( ~ c2_1(X98)
              | ~ c1_1(X98)
              | c3_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c1_1(X97)
              | c3_1(X97)
              | c2_1(X97) ) ) )
      & ( hskp3
        | hskp0
        | ! [X96] :
            ( ndr1_0
           => ( ~ c0_1(X96)
              | c3_1(X96)
              | c2_1(X96) ) ) )
      & ( hskp20
        | hskp26
        | ! [X95] :
            ( ndr1_0
           => ( ~ c0_1(X95)
              | c3_1(X95)
              | c2_1(X95) ) ) )
      & ( hskp16
        | hskp5
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c2_1(X94)
              | c1_1(X94) ) ) )
      & ( hskp1
        | hskp13
        | ! [X93] :
            ( ndr1_0
           => ( ~ c3_1(X93)
              | ~ c0_1(X93)
              | c1_1(X93) ) ) )
      & ( hskp8
        | hskp22
        | ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | ~ c0_1(X92)
              | c1_1(X92) ) ) )
      & ( hskp30
        | ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | ~ c1_1(X91)
              | ~ c0_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c0_1(X90)
              | c1_1(X90) ) ) )
      & ( hskp28
        | ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | ~ c1_1(X89)
              | c3_1(X89) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c2_1(X88)
              | ~ c0_1(X88)
              | c1_1(X88) ) ) )
      & ( hskp7
        | hskp28
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | c3_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp25
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c2_1(X86)
              | ~ c1_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | c3_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp31
        | ! [X84] :
            ( ndr1_0
           => ( ~ c1_1(X84)
              | ~ c0_1(X84)
              | c2_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | c3_1(X83)
              | c1_1(X83) ) ) )
      & ( hskp3
        | hskp28
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | c2_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp17
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c1_1(X81)
              | c2_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | c2_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp13
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | c3_1(X79)
              | c1_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | c2_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp24
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | c3_1(X77)
              | c1_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | c2_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp11
        | hskp19
        | ! [X75] :
            ( ndr1_0
           => ( ~ c0_1(X75)
              | c2_1(X75)
              | c1_1(X75) ) ) )
      & ( hskp7
        | hskp9
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c2_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp14
        | ! [X73] :
            ( ndr1_0
           => ( ~ c2_1(X73)
              | ~ c0_1(X73)
              | c3_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c0_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp17
        | ! [X71] :
            ( ndr1_0
           => ( ~ c1_1(X71)
              | ~ c0_1(X71)
              | c3_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c0_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp3
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c0_1(X69)
              | c2_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c0_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp19
        | hskp31
        | ! [X67] :
            ( ndr1_0
           => ( c3_1(X67)
              | c2_1(X67)
              | c1_1(X67) ) ) )
      & ( hskp2
        | hskp9
        | ! [X66] :
            ( ndr1_0
           => ( c3_1(X66)
              | c2_1(X66)
              | c1_1(X66) ) ) )
      & ( hskp29
        | ! [X65] :
            ( ndr1_0
           => ( ~ c1_1(X65)
              | ~ c0_1(X65)
              | c3_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( c3_1(X64)
              | c2_1(X64)
              | c1_1(X64) ) ) )
      & ( ! [X63] :
            ( ndr1_0
           => ( ~ c2_1(X63)
              | ~ c0_1(X63)
              | c3_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | ~ c0_1(X62)
              | c1_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c3_1(X61)
              | c2_1(X61)
              | c1_1(X61) ) ) )
      & ( hskp12
        | hskp2
        | ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | ~ c2_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp5
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c0_1(X59)
              | c1_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c2_1(X58)
              | c0_1(X58) ) ) )
      & ( hskp23
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c2_1(X57)
              | ~ c0_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c1_1(X56)
              | c0_1(X56) ) ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c1_1(X55)
              | c2_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c0_1(X54)
              | c3_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | ~ c1_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp19
        | hskp22
        | ! [X52] :
            ( ndr1_0
           => ( ~ c2_1(X52)
              | ~ c1_1(X52)
              | c0_1(X52) ) ) )
      & ( ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | ~ c2_1(X51)
              | ~ c1_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c0_1(X50)
              | c3_1(X50)
              | c2_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | ~ c1_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp21
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | c2_1(X48)
              | c1_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | ~ c1_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp20
        | hskp19
        | ! [X46] :
            ( ndr1_0
           => ( ~ c2_1(X46)
              | c3_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp11
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c1_1(X45)
              | ~ c0_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | c3_1(X44)
              | c0_1(X44) ) ) )
      & ( hskp18
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | ~ c1_1(X43)
              | c0_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | c3_1(X42)
              | c0_1(X42) ) ) )
      & ( hskp4
        | hskp17
        | ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | c3_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp16
        | hskp30
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | c2_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp2
        | ! [X39] :
            ( ndr1_0
           => ( ~ c2_1(X39)
              | ~ c1_1(X39)
              | ~ c0_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp4
        | ! [X37] :
            ( ndr1_0
           => ( ~ c2_1(X37)
              | ~ c0_1(X37)
              | c3_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp29
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | ~ c0_1(X35)
              | c3_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp15
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | ~ c0_1(X33)
              | c2_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp12
        | hskp14
        | ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp3
        | hskp29
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp4
        | hskp11
        | ! [X29] :
            ( ndr1_0
           => ( c3_1(X29)
              | c2_1(X29)
              | c0_1(X29) ) ) )
      & ( hskp13
        | hskp12
        | ! [X28] :
            ( ndr1_0
           => ( c3_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp11
        | ! [X27] :
            ( ndr1_0
           => ( ~ c2_1(X27)
              | ~ c1_1(X27)
              | ~ c0_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c3_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp10
        | ! [X25] :
            ( ndr1_0
           => ( ~ c0_1(X25)
              | c3_1(X25)
              | c2_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c3_1(X24)
              | c2_1(X24)
              | c0_1(X24) ) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | ~ c2_1(X23)
              | ~ c0_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c2_1(X22)
              | ~ c1_1(X22)
              | c0_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp0
        | hskp9
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp1
        | hskp28
        | ! [X19] :
            ( ndr1_0
           => ( c3_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp8
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | ~ c2_1(X18)
              | ~ c0_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c3_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp5
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | ~ c2_1(X16)
              | ~ c0_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c3_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp7
        | ! [X14] :
            ( ndr1_0
           => ( ~ c3_1(X14)
              | ~ c1_1(X14)
              | c2_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( hskp6
        | ! [X12] :
            ( ndr1_0
           => ( ~ c0_1(X12)
              | c2_1(X12)
              | c1_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp4
        | hskp5
        | ! [X10] :
            ( ndr1_0
           => ( c2_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp4
        | ! [X9] :
            ( ndr1_0
           => ( ~ c3_1(X9)
              | ~ c2_1(X9)
              | ~ c0_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c2_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp3
        | ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | ~ c2_1(X7)
              | ~ c0_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp2
        | ! [X5] :
            ( ndr1_0
           => ( ~ c3_1(X5)
              | ~ c1_1(X5)
              | c2_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c2_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp1
        | ! [X3] :
            ( ndr1_0
           => ( ~ c3_1(X3)
              | c2_1(X3)
              | c1_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | c2_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a875)
          & c2_1(a875)
          & c0_1(a875)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c3_1(a857)
          & c2_1(a857)
          & c1_1(a857)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c2_1(a849)
          & c1_1(a849)
          & c0_1(a849)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a839)
          & c1_1(a839)
          & c0_1(a839)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c0_1(a919)
          & c3_1(a919)
          & c2_1(a919)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a901)
          & ~ c2_1(a901)
          & c0_1(a901)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a890)
          & ~ c0_1(a890)
          & c2_1(a890)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a884)
          & c3_1(a884)
          & c1_1(a884)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a868)
          & ~ c1_1(a868)
          & c2_1(a868)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a866)
          & c1_1(a866)
          & c0_1(a866)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c1_1(a865)
          & ~ c0_1(a865)
          & c2_1(a865)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a864)
          & ~ c0_1(a864)
          & c1_1(a864)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c2_1(a863)
          & c3_1(a863)
          & c0_1(a863)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c1_1(a861)
          & c2_1(a861)
          & c0_1(a861)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a859)
          & ~ c1_1(a859)
          & c0_1(a859)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c2_1(a858)
          & ~ c1_1(a858)
          & ~ c0_1(a858)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c0_1(a853)
          & c3_1(a853)
          & c1_1(a853)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c3_1(a851)
          & c2_1(a851)
          & c1_1(a851)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c2_1(a846)
          & ~ c0_1(a846)
          & c3_1(a846)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c1_1(a845)
          & ~ c0_1(a845)
          & c3_1(a845)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c2_1(a844)
          & ~ c1_1(a844)
          & c3_1(a844)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a843)
          & ~ c0_1(a843)
          & c1_1(a843)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c2_1(a841)
          & c1_1(a841)
          & c0_1(a841)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a838)
          & ~ c2_1(a838)
          & c1_1(a838)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c1_1(a836)
          & c3_1(a836)
          & c0_1(a836)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a835)
          & ~ c2_1(a835)
          & ~ c0_1(a835)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a833)
          & c2_1(a833)
          & c0_1(a833)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a832)
          & ~ c2_1(a832)
          & ~ c1_1(a832)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c1_1(a831)
          & c3_1(a831)
          & c2_1(a831)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c2_1(a830)
          & ~ c1_1(a830)
          & c0_1(a830)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a829)
          & ~ c1_1(a829)
          & ~ c0_1(a829)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c0_1(a828)
          & c2_1(a828)
          & c1_1(a828)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f1065,plain,
    ( ~ spl0_3
    | spl0_160 ),
    inference(avatar_split_clause,[],[f9,f1062,f263]) ).

fof(f9,plain,
    ( c2_1(a828)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1060,plain,
    ( ~ spl0_3
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f10,f1057,f263]) ).

fof(f10,plain,
    ( ~ c0_1(a828)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1039,plain,
    ( ~ spl0_6
    | spl0_21 ),
    inference(avatar_split_clause,[],[f15,f344,f276]) ).

fof(f276,plain,
    ( spl0_6
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f344,plain,
    ( spl0_21
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f15,plain,
    ( ndr1_0
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1038,plain,
    ( ~ spl0_6
    | spl0_155 ),
    inference(avatar_split_clause,[],[f16,f1035,f276]) ).

fof(f16,plain,
    ( c0_1(a830)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1033,plain,
    ( ~ spl0_6
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f17,f1030,f276]) ).

fof(f17,plain,
    ( ~ c1_1(a830)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1028,plain,
    ( ~ spl0_6
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f18,f1025,f276]) ).

fof(f18,plain,
    ( ~ c2_1(a830)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1022,plain,
    ( ~ spl0_37
    | spl0_152 ),
    inference(avatar_split_clause,[],[f20,f1019,f409]) ).

fof(f409,plain,
    ( spl0_37
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f20,plain,
    ( c2_1(a831)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1017,plain,
    ( ~ spl0_37
    | spl0_151 ),
    inference(avatar_split_clause,[],[f21,f1014,f409]) ).

fof(f21,plain,
    ( c3_1(a831)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1006,plain,
    ( ~ spl0_17
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f24,f1003,f325]) ).

fof(f325,plain,
    ( spl0_17
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f24,plain,
    ( ~ c1_1(a832)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1001,plain,
    ( ~ spl0_17
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f25,f998,f325]) ).

fof(f25,plain,
    ( ~ c2_1(a832)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f996,plain,
    ( ~ spl0_17
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f26,f993,f325]) ).

fof(f26,plain,
    ( ~ c3_1(a832)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f990,plain,
    ( ~ spl0_41
    | spl0_146 ),
    inference(avatar_split_clause,[],[f28,f987,f426]) ).

fof(f426,plain,
    ( spl0_41
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f28,plain,
    ( c0_1(a833)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f985,plain,
    ( ~ spl0_41
    | spl0_145 ),
    inference(avatar_split_clause,[],[f29,f982,f426]) ).

fof(f29,plain,
    ( c2_1(a833)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f980,plain,
    ( ~ spl0_41
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f30,f977,f426]) ).

fof(f30,plain,
    ( ~ c3_1(a833)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f969,plain,
    ( ~ spl0_19
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f33,f966,f334]) ).

fof(f334,plain,
    ( spl0_19
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f33,plain,
    ( ~ c2_1(a835)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f964,plain,
    ( ~ spl0_19
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f34,f961,f334]) ).

fof(f34,plain,
    ( ~ c3_1(a835)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f958,plain,
    ( ~ spl0_12
    | spl0_140 ),
    inference(avatar_split_clause,[],[f36,f955,f302]) ).

fof(f302,plain,
    ( spl0_12
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f36,plain,
    ( c0_1(a836)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f953,plain,
    ( ~ spl0_12
    | spl0_139 ),
    inference(avatar_split_clause,[],[f37,f950,f302]) ).

fof(f37,plain,
    ( c3_1(a836)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f948,plain,
    ( ~ spl0_12
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f38,f945,f302]) ).

fof(f38,plain,
    ( ~ c1_1(a836)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f942,plain,
    ( ~ spl0_15
    | spl0_137 ),
    inference(avatar_split_clause,[],[f40,f939,f316]) ).

fof(f316,plain,
    ( spl0_15
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f40,plain,
    ( c1_1(a838)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f937,plain,
    ( ~ spl0_15
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f41,f934,f316]) ).

fof(f41,plain,
    ( ~ c2_1(a838)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f926,plain,
    ( ~ spl0_16
    | spl0_134 ),
    inference(avatar_split_clause,[],[f44,f923,f321]) ).

fof(f321,plain,
    ( spl0_16
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f44,plain,
    ( c0_1(a841)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f921,plain,
    ( ~ spl0_16
    | spl0_133 ),
    inference(avatar_split_clause,[],[f45,f918,f321]) ).

fof(f45,plain,
    ( c1_1(a841)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f916,plain,
    ( ~ spl0_16
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f46,f913,f321]) ).

fof(f46,plain,
    ( ~ c2_1(a841)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f910,plain,
    ( ~ spl0_13
    | spl0_131 ),
    inference(avatar_split_clause,[],[f48,f907,f307]) ).

fof(f307,plain,
    ( spl0_13
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f48,plain,
    ( c1_1(a843)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f900,plain,
    ( ~ spl0_13
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f50,f897,f307]) ).

fof(f50,plain,
    ( ~ c3_1(a843)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f894,plain,
    ( ~ spl0_4
    | spl0_128 ),
    inference(avatar_split_clause,[],[f52,f891,f267]) ).

fof(f267,plain,
    ( spl0_4
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f52,plain,
    ( c3_1(a844)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f889,plain,
    ( ~ spl0_4
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f53,f886,f267]) ).

fof(f53,plain,
    ( ~ c1_1(a844)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f884,plain,
    ( ~ spl0_4
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f54,f881,f267]) ).

fof(f54,plain,
    ( ~ c2_1(a844)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f862,plain,
    ( ~ spl0_43
    | spl0_122 ),
    inference(avatar_split_clause,[],[f60,f859,f434]) ).

fof(f434,plain,
    ( spl0_43
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f60,plain,
    ( c3_1(a846)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f857,plain,
    ( ~ spl0_43
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f61,f854,f434]) ).

fof(f61,plain,
    ( ~ c0_1(a846)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f852,plain,
    ( ~ spl0_43
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f62,f849,f434]) ).

fof(f62,plain,
    ( ~ c2_1(a846)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f846,plain,
    ( ~ spl0_1
    | spl0_119 ),
    inference(avatar_split_clause,[],[f64,f843,f254]) ).

fof(f254,plain,
    ( spl0_1
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f64,plain,
    ( c1_1(a851)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f841,plain,
    ( ~ spl0_1
    | spl0_118 ),
    inference(avatar_split_clause,[],[f65,f838,f254]) ).

fof(f65,plain,
    ( c2_1(a851)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f836,plain,
    ( ~ spl0_1
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f66,f833,f254]) ).

fof(f66,plain,
    ( ~ c3_1(a851)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f830,plain,
    ( ~ spl0_59
    | spl0_116 ),
    inference(avatar_split_clause,[],[f68,f827,f519]) ).

fof(f519,plain,
    ( spl0_59
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f68,plain,
    ( c1_1(a853)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f825,plain,
    ( ~ spl0_59
    | spl0_115 ),
    inference(avatar_split_clause,[],[f69,f822,f519]) ).

fof(f69,plain,
    ( c3_1(a853)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f820,plain,
    ( ~ spl0_59
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f70,f817,f519]) ).

fof(f70,plain,
    ( ~ c0_1(a853)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f815,plain,
    ( ~ spl0_8
    | spl0_21 ),
    inference(avatar_split_clause,[],[f71,f344,f284]) ).

fof(f284,plain,
    ( spl0_8
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f71,plain,
    ( ndr1_0
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f814,plain,
    ( ~ spl0_8
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f72,f811,f284]) ).

fof(f72,plain,
    ( ~ c0_1(a858)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f809,plain,
    ( ~ spl0_8
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f73,f806,f284]) ).

fof(f73,plain,
    ( ~ c1_1(a858)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f804,plain,
    ( ~ spl0_8
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f74,f801,f284]) ).

fof(f74,plain,
    ( ~ c2_1(a858)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f799,plain,
    ( ~ spl0_7
    | spl0_21 ),
    inference(avatar_split_clause,[],[f75,f344,f280]) ).

fof(f280,plain,
    ( spl0_7
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f75,plain,
    ( ndr1_0
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f798,plain,
    ( ~ spl0_7
    | spl0_110 ),
    inference(avatar_split_clause,[],[f76,f795,f280]) ).

fof(f76,plain,
    ( c0_1(a859)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f793,plain,
    ( ~ spl0_7
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f77,f790,f280]) ).

fof(f77,plain,
    ( ~ c1_1(a859)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f788,plain,
    ( ~ spl0_7
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f78,f785,f280]) ).

fof(f78,plain,
    ( ~ c3_1(a859)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f782,plain,
    ( ~ spl0_31
    | spl0_107 ),
    inference(avatar_split_clause,[],[f80,f779,f384]) ).

fof(f384,plain,
    ( spl0_31
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f80,plain,
    ( c0_1(a861)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f777,plain,
    ( ~ spl0_31
    | spl0_106 ),
    inference(avatar_split_clause,[],[f81,f774,f384]) ).

fof(f81,plain,
    ( c2_1(a861)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f772,plain,
    ( ~ spl0_31
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f82,f769,f384]) ).

fof(f82,plain,
    ( ~ c1_1(a861)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f766,plain,
    ( ~ spl0_9
    | spl0_104 ),
    inference(avatar_split_clause,[],[f84,f763,f289]) ).

fof(f289,plain,
    ( spl0_9
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f84,plain,
    ( c0_1(a863)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f761,plain,
    ( ~ spl0_9
    | spl0_103 ),
    inference(avatar_split_clause,[],[f85,f758,f289]) ).

fof(f85,plain,
    ( c3_1(a863)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f756,plain,
    ( ~ spl0_9
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f86,f753,f289]) ).

fof(f86,plain,
    ( ~ c2_1(a863)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f745,plain,
    ( ~ spl0_39
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f89,f742,f418]) ).

fof(f418,plain,
    ( spl0_39
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f89,plain,
    ( ~ c0_1(a864)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f740,plain,
    ( ~ spl0_39
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f90,f737,f418]) ).

fof(f90,plain,
    ( ~ c2_1(a864)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f718,plain,
    ( ~ spl0_18
    | spl0_95 ),
    inference(avatar_split_clause,[],[f96,f715,f330]) ).

fof(f330,plain,
    ( spl0_18
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f96,plain,
    ( c0_1(a866)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f713,plain,
    ( ~ spl0_18
    | spl0_94 ),
    inference(avatar_split_clause,[],[f97,f710,f330]) ).

fof(f97,plain,
    ( c1_1(a866)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f708,plain,
    ( ~ spl0_18
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f98,f705,f330]) ).

fof(f98,plain,
    ( ~ c3_1(a866)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f702,plain,
    ( ~ spl0_11
    | spl0_92 ),
    inference(avatar_split_clause,[],[f100,f699,f297]) ).

fof(f297,plain,
    ( spl0_11
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f100,plain,
    ( c2_1(a868)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f697,plain,
    ( ~ spl0_11
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f101,f694,f297]) ).

fof(f101,plain,
    ( ~ c1_1(a868)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f692,plain,
    ( ~ spl0_11
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f102,f689,f297]) ).

fof(f102,plain,
    ( ~ c3_1(a868)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f686,plain,
    ( ~ spl0_33
    | spl0_89 ),
    inference(avatar_split_clause,[],[f104,f683,f394]) ).

fof(f394,plain,
    ( spl0_33
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f104,plain,
    ( c1_1(a884)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f681,plain,
    ( ~ spl0_33
    | spl0_88 ),
    inference(avatar_split_clause,[],[f105,f678,f394]) ).

fof(f105,plain,
    ( c3_1(a884)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f676,plain,
    ( ~ spl0_33
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f106,f673,f394]) ).

fof(f106,plain,
    ( ~ c2_1(a884)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f670,plain,
    ( ~ spl0_23
    | spl0_86 ),
    inference(avatar_split_clause,[],[f108,f667,f351]) ).

fof(f351,plain,
    ( spl0_23
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f108,plain,
    ( c2_1(a890)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f665,plain,
    ( ~ spl0_23
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f109,f662,f351]) ).

fof(f109,plain,
    ( ~ c0_1(a890)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f660,plain,
    ( ~ spl0_23
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f110,f657,f351]) ).

fof(f110,plain,
    ( ~ c3_1(a890)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f622,plain,
    ( ~ spl0_20
    | spl0_77 ),
    inference(avatar_split_clause,[],[f120,f619,f339]) ).

fof(f339,plain,
    ( spl0_20
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f120,plain,
    ( c0_1(a839)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f617,plain,
    ( ~ spl0_20
    | spl0_76 ),
    inference(avatar_split_clause,[],[f121,f614,f339]) ).

fof(f121,plain,
    ( c1_1(a839)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f612,plain,
    ( ~ spl0_20
    | spl0_75 ),
    inference(avatar_split_clause,[],[f122,f609,f339]) ).

fof(f122,plain,
    ( c3_1(a839)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f606,plain,
    ( ~ spl0_26
    | spl0_74 ),
    inference(avatar_split_clause,[],[f124,f603,f364]) ).

fof(f364,plain,
    ( spl0_26
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f124,plain,
    ( c0_1(a849)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f601,plain,
    ( ~ spl0_26
    | spl0_73 ),
    inference(avatar_split_clause,[],[f125,f598,f364]) ).

fof(f125,plain,
    ( c1_1(a849)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f596,plain,
    ( ~ spl0_26
    | spl0_72 ),
    inference(avatar_split_clause,[],[f126,f593,f364]) ).

fof(f126,plain,
    ( c2_1(a849)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f590,plain,
    ( ~ spl0_10
    | spl0_71 ),
    inference(avatar_split_clause,[],[f128,f587,f293]) ).

fof(f293,plain,
    ( spl0_10
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f128,plain,
    ( c1_1(a857)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f585,plain,
    ( ~ spl0_10
    | spl0_70 ),
    inference(avatar_split_clause,[],[f129,f582,f293]) ).

fof(f129,plain,
    ( c2_1(a857)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f580,plain,
    ( ~ spl0_10
    | spl0_69 ),
    inference(avatar_split_clause,[],[f130,f577,f293]) ).

fof(f130,plain,
    ( c3_1(a857)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f574,plain,
    ( ~ spl0_14
    | spl0_68 ),
    inference(avatar_split_clause,[],[f132,f571,f312]) ).

fof(f312,plain,
    ( spl0_14
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f132,plain,
    ( c0_1(a875)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f569,plain,
    ( ~ spl0_14
    | spl0_67 ),
    inference(avatar_split_clause,[],[f133,f566,f312]) ).

fof(f133,plain,
    ( c2_1(a875)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f564,plain,
    ( ~ spl0_14
    | spl0_66 ),
    inference(avatar_split_clause,[],[f134,f561,f312]) ).

fof(f134,plain,
    ( c3_1(a875)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f548,plain,
    ( spl0_64
    | ~ spl0_21
    | spl0_54
    | spl0_41 ),
    inference(avatar_split_clause,[],[f221,f426,f491,f344,f544]) ).

fof(f221,plain,
    ! [X96,X95] :
      ( hskp5
      | ~ c3_1(X95)
      | ~ c2_1(X95)
      | ~ c0_1(X95)
      | ~ ndr1_0
      | c3_1(X96)
      | c1_1(X96)
      | c0_1(X96) ),
    inference(duplicate_literal_removal,[],[f143]) ).

fof(f143,plain,
    ! [X96,X95] :
      ( hskp5
      | ~ c3_1(X95)
      | ~ c2_1(X95)
      | ~ c0_1(X95)
      | ~ ndr1_0
      | c3_1(X96)
      | c1_1(X96)
      | c0_1(X96)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f533,plain,
    ( spl0_61
    | ~ spl0_21
    | spl0_25
    | spl0_4 ),
    inference(avatar_split_clause,[],[f225,f267,f361,f344,f529]) ).

fof(f225,plain,
    ! [X84,X85] :
      ( hskp11
      | ~ c2_1(X84)
      | ~ c1_1(X84)
      | ~ c0_1(X84)
      | ~ ndr1_0
      | c3_1(X85)
      | c2_1(X85)
      | c0_1(X85) ),
    inference(duplicate_literal_removal,[],[f149]) ).

fof(f149,plain,
    ! [X84,X85] :
      ( hskp11
      | ~ c2_1(X84)
      | ~ c1_1(X84)
      | ~ c0_1(X84)
      | ~ ndr1_0
      | c3_1(X85)
      | c2_1(X85)
      | c0_1(X85)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f531,plain,
    ( ~ spl0_21
    | spl0_61
    | spl0_4
    | spl0_17 ),
    inference(avatar_split_clause,[],[f151,f325,f267,f529,f344]) ).

fof(f151,plain,
    ! [X82] :
      ( hskp4
      | hskp11
      | c3_1(X82)
      | c2_1(X82)
      | c0_1(X82)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f522,plain,
    ( spl0_58
    | ~ spl0_21
    | spl0_32
    | spl0_59 ),
    inference(avatar_split_clause,[],[f226,f519,f391,f344,f512]) ).

fof(f226,plain,
    ! [X78,X79] :
      ( hskp15
      | ~ c1_1(X78)
      | ~ c0_1(X78)
      | c2_1(X78)
      | ~ ndr1_0
      | ~ c3_1(X79)
      | c2_1(X79)
      | c0_1(X79) ),
    inference(duplicate_literal_removal,[],[f154]) ).

fof(f154,plain,
    ! [X78,X79] :
      ( hskp15
      | ~ c1_1(X78)
      | ~ c0_1(X78)
      | c2_1(X78)
      | ~ ndr1_0
      | ~ c3_1(X79)
      | c2_1(X79)
      | c0_1(X79)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f517,plain,
    ( spl0_58
    | ~ spl0_21
    | spl0_28
    | spl0_26 ),
    inference(avatar_split_clause,[],[f227,f364,f373,f344,f512]) ).

fof(f227,plain,
    ! [X76,X77] :
      ( hskp29
      | ~ c1_1(X76)
      | ~ c0_1(X76)
      | c3_1(X76)
      | ~ ndr1_0
      | ~ c3_1(X77)
      | c2_1(X77)
      | c0_1(X77) ),
    inference(duplicate_literal_removal,[],[f155]) ).

fof(f155,plain,
    ! [X76,X77] :
      ( hskp29
      | ~ c1_1(X76)
      | ~ c0_1(X76)
      | c3_1(X76)
      | ~ ndr1_0
      | ~ c3_1(X77)
      | c2_1(X77)
      | c0_1(X77)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f516,plain,
    ( spl0_58
    | ~ spl0_21
    | spl0_27
    | spl0_17 ),
    inference(avatar_split_clause,[],[f228,f325,f369,f344,f512]) ).

fof(f228,plain,
    ! [X74,X75] :
      ( hskp4
      | ~ c2_1(X74)
      | ~ c0_1(X74)
      | c3_1(X74)
      | ~ ndr1_0
      | ~ c3_1(X75)
      | c2_1(X75)
      | c0_1(X75) ),
    inference(duplicate_literal_removal,[],[f156]) ).

fof(f156,plain,
    ! [X74,X75] :
      ( hskp4
      | ~ c2_1(X74)
      | ~ c0_1(X74)
      | c3_1(X74)
      | ~ ndr1_0
      | ~ c3_1(X75)
      | c2_1(X75)
      | c0_1(X75)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f515,plain,
    ( spl0_58
    | ~ spl0_21
    | spl0_25
    | spl0_6 ),
    inference(avatar_split_clause,[],[f229,f276,f361,f344,f512]) ).

fof(f229,plain,
    ! [X72,X73] :
      ( hskp2
      | ~ c2_1(X72)
      | ~ c1_1(X72)
      | ~ c0_1(X72)
      | ~ ndr1_0
      | ~ c3_1(X73)
      | c2_1(X73)
      | c0_1(X73) ),
    inference(duplicate_literal_removal,[],[f157]) ).

fof(f157,plain,
    ! [X72,X73] :
      ( hskp2
      | ~ c2_1(X72)
      | ~ c1_1(X72)
      | ~ c0_1(X72)
      | ~ ndr1_0
      | ~ c3_1(X73)
      | c2_1(X73)
      | c0_1(X73)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f510,plain,
    ( ~ spl0_21
    | spl0_57
    | spl0_7
    | spl0_17 ),
    inference(avatar_split_clause,[],[f159,f325,f280,f508,f344]) ).

fof(f159,plain,
    ! [X70] :
      ( hskp4
      | hskp17
      | ~ c1_1(X70)
      | c3_1(X70)
      | c0_1(X70)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f505,plain,
    ( spl0_56
    | ~ spl0_21
    | spl0_22
    | spl0_4 ),
    inference(avatar_split_clause,[],[f231,f267,f348,f344,f502]) ).

fof(f231,plain,
    ! [X66,X67] :
      ( hskp11
      | ~ c3_1(X66)
      | ~ c1_1(X66)
      | ~ c0_1(X66)
      | ~ ndr1_0
      | ~ c2_1(X67)
      | c3_1(X67)
      | c0_1(X67) ),
    inference(duplicate_literal_removal,[],[f161]) ).

fof(f161,plain,
    ! [X66,X67] :
      ( hskp11
      | ~ c3_1(X66)
      | ~ c1_1(X66)
      | ~ c0_1(X66)
      | ~ ndr1_0
      | ~ c2_1(X67)
      | c3_1(X67)
      | c0_1(X67)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f504,plain,
    ( ~ spl0_21
    | spl0_56
    | spl0_9
    | spl0_39 ),
    inference(avatar_split_clause,[],[f162,f418,f289,f502,f344]) ).

fof(f162,plain,
    ! [X65] :
      ( hskp20
      | hskp19
      | ~ c2_1(X65)
      | c3_1(X65)
      | c0_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f499,plain,
    ( spl0_55
    | spl0_36
    | ~ spl0_21
    | spl0_30 ),
    inference(avatar_split_clause,[],[f233,f381,f344,f406,f496]) ).

fof(f233,plain,
    ! [X62,X60,X61] :
      ( ~ c3_1(X60)
      | ~ c2_1(X60)
      | ~ c1_1(X60)
      | ~ ndr1_0
      | ~ c0_1(X61)
      | c3_1(X61)
      | c2_1(X61)
      | ~ c2_1(X62)
      | ~ c1_1(X62)
      | c0_1(X62) ),
    inference(duplicate_literal_removal,[],[f164]) ).

fof(f164,plain,
    ! [X62,X60,X61] :
      ( ~ c3_1(X60)
      | ~ c2_1(X60)
      | ~ c1_1(X60)
      | ~ ndr1_0
      | ~ c0_1(X61)
      | c3_1(X61)
      | c2_1(X61)
      | ~ ndr1_0
      | ~ c2_1(X62)
      | ~ c1_1(X62)
      | c0_1(X62)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f498,plain,
    ( ~ spl0_21
    | spl0_55
    | spl0_18
    | spl0_9 ),
    inference(avatar_split_clause,[],[f165,f289,f330,f496,f344]) ).

fof(f165,plain,
    ! [X59] :
      ( hskp19
      | hskp22
      | ~ c2_1(X59)
      | ~ c1_1(X59)
      | c0_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f494,plain,
    ( spl0_53
    | spl0_36
    | ~ spl0_21
    | spl0_48 ),
    inference(avatar_split_clause,[],[f234,f458,f344,f406,f488]) ).

fof(f234,plain,
    ! [X58,X56,X57] :
      ( ~ c3_1(X56)
      | ~ c1_1(X56)
      | c2_1(X56)
      | ~ ndr1_0
      | ~ c0_1(X57)
      | c3_1(X57)
      | c2_1(X57)
      | ~ c3_1(X58)
      | ~ c1_1(X58)
      | c0_1(X58) ),
    inference(duplicate_literal_removal,[],[f166]) ).

fof(f166,plain,
    ! [X58,X56,X57] :
      ( ~ c3_1(X56)
      | ~ c1_1(X56)
      | c2_1(X56)
      | ~ ndr1_0
      | ~ c0_1(X57)
      | c3_1(X57)
      | c2_1(X57)
      | ~ ndr1_0
      | ~ c3_1(X58)
      | ~ c1_1(X58)
      | c0_1(X58)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f486,plain,
    ( spl0_51
    | ~ spl0_21
    | spl0_42
    | spl0_41 ),
    inference(avatar_split_clause,[],[f236,f426,f431,f344,f479]) ).

fof(f236,plain,
    ! [X52,X53] :
      ( hskp5
      | ~ c3_1(X52)
      | ~ c0_1(X52)
      | c1_1(X52)
      | ~ ndr1_0
      | ~ c3_1(X53)
      | ~ c2_1(X53)
      | c0_1(X53) ),
    inference(duplicate_literal_removal,[],[f168]) ).

fof(f168,plain,
    ! [X52,X53] :
      ( hskp5
      | ~ c3_1(X52)
      | ~ c0_1(X52)
      | c1_1(X52)
      | ~ ndr1_0
      | ~ c3_1(X53)
      | ~ c2_1(X53)
      | c0_1(X53)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f477,plain,
    ( spl0_50
    | spl0_44
    | ~ spl0_21
    | spl0_27 ),
    inference(avatar_split_clause,[],[f237,f369,f344,f441,f472]) ).

fof(f237,plain,
    ! [X50,X48,X49] :
      ( ~ c2_1(X48)
      | ~ c0_1(X48)
      | c3_1(X48)
      | ~ ndr1_0
      | ~ c2_1(X49)
      | ~ c0_1(X49)
      | c1_1(X49)
      | c3_1(X50)
      | c2_1(X50)
      | c1_1(X50) ),
    inference(duplicate_literal_removal,[],[f170]) ).

fof(f170,plain,
    ! [X50,X48,X49] :
      ( ~ c2_1(X48)
      | ~ c0_1(X48)
      | c3_1(X48)
      | ~ ndr1_0
      | ~ c2_1(X49)
      | ~ c0_1(X49)
      | c1_1(X49)
      | ~ ndr1_0
      | c3_1(X50)
      | c2_1(X50)
      | c1_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f476,plain,
    ( spl0_50
    | ~ spl0_21
    | spl0_28
    | spl0_26 ),
    inference(avatar_split_clause,[],[f238,f364,f373,f344,f472]) ).

fof(f238,plain,
    ! [X46,X47] :
      ( hskp29
      | ~ c1_1(X46)
      | ~ c0_1(X46)
      | c3_1(X46)
      | ~ ndr1_0
      | c3_1(X47)
      | c2_1(X47)
      | c1_1(X47) ),
    inference(duplicate_literal_removal,[],[f171]) ).

fof(f171,plain,
    ! [X46,X47] :
      ( hskp29
      | ~ c1_1(X46)
      | ~ c0_1(X46)
      | c3_1(X46)
      | ~ ndr1_0
      | c3_1(X47)
      | c2_1(X47)
      | c1_1(X47)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f475,plain,
    ( ~ spl0_21
    | spl0_50
    | spl0_16
    | spl0_6 ),
    inference(avatar_split_clause,[],[f172,f276,f321,f472,f344]) ).

fof(f172,plain,
    ! [X45] :
      ( hskp2
      | hskp9
      | c3_1(X45)
      | c2_1(X45)
      | c1_1(X45)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f474,plain,
    ( ~ spl0_21
    | spl0_50
    | spl0_14
    | spl0_9 ),
    inference(avatar_split_clause,[],[f173,f289,f312,f472,f344]) ).

fof(f173,plain,
    ! [X44] :
      ( hskp19
      | hskp31
      | c3_1(X44)
      | c2_1(X44)
      | c1_1(X44)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f470,plain,
    ( spl0_49
    | ~ spl0_21
    | spl0_29
    | spl0_37 ),
    inference(avatar_split_clause,[],[f239,f409,f377,f344,f464]) ).

fof(f239,plain,
    ! [X42,X43] :
      ( hskp3
      | ~ c3_1(X42)
      | ~ c0_1(X42)
      | c2_1(X42)
      | ~ ndr1_0
      | ~ c0_1(X43)
      | c2_1(X43)
      | c1_1(X43) ),
    inference(duplicate_literal_removal,[],[f174]) ).

fof(f174,plain,
    ! [X42,X43] :
      ( hskp3
      | ~ c3_1(X42)
      | ~ c0_1(X42)
      | c2_1(X42)
      | ~ ndr1_0
      | ~ c0_1(X43)
      | c2_1(X43)
      | c1_1(X43)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f469,plain,
    ( spl0_49
    | ~ spl0_21
    | spl0_28
    | spl0_7 ),
    inference(avatar_split_clause,[],[f240,f280,f373,f344,f464]) ).

fof(f240,plain,
    ! [X40,X41] :
      ( hskp17
      | ~ c1_1(X40)
      | ~ c0_1(X40)
      | c3_1(X40)
      | ~ ndr1_0
      | ~ c0_1(X41)
      | c2_1(X41)
      | c1_1(X41) ),
    inference(duplicate_literal_removal,[],[f175]) ).

fof(f175,plain,
    ! [X40,X41] :
      ( hskp17
      | ~ c1_1(X40)
      | ~ c0_1(X40)
      | c3_1(X40)
      | ~ ndr1_0
      | ~ c0_1(X41)
      | c2_1(X41)
      | c1_1(X41)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f467,plain,
    ( ~ spl0_21
    | spl0_49
    | spl0_16
    | spl0_12 ),
    inference(avatar_split_clause,[],[f177,f302,f321,f464,f344]) ).

fof(f177,plain,
    ! [X37] :
      ( hskp7
      | hskp9
      | ~ c0_1(X37)
      | c2_1(X37)
      | c1_1(X37)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f466,plain,
    ( ~ spl0_21
    | spl0_49
    | spl0_9
    | spl0_4 ),
    inference(avatar_split_clause,[],[f178,f267,f289,f464,f344]) ).

fof(f178,plain,
    ! [X36] :
      ( hskp11
      | hskp19
      | ~ c0_1(X36)
      | c2_1(X36)
      | c1_1(X36)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f462,plain,
    ( spl0_47
    | ~ spl0_21
    | spl0_46
    | spl0_33 ),
    inference(avatar_split_clause,[],[f242,f394,f449,f344,f454]) ).

fof(f242,plain,
    ! [X34,X35] :
      ( hskp24
      | ~ c0_1(X34)
      | c3_1(X34)
      | c1_1(X34)
      | ~ ndr1_0
      | ~ c3_1(X35)
      | c2_1(X35)
      | c1_1(X35) ),
    inference(duplicate_literal_removal,[],[f179]) ).

fof(f179,plain,
    ! [X34,X35] :
      ( hskp24
      | ~ c0_1(X34)
      | c3_1(X34)
      | c1_1(X34)
      | ~ ndr1_0
      | ~ c3_1(X35)
      | c2_1(X35)
      | c1_1(X35)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f461,plain,
    ( spl0_47
    | ~ spl0_21
    | spl0_46
    | spl0_43 ),
    inference(avatar_split_clause,[],[f243,f434,f449,f344,f454]) ).

fof(f243,plain,
    ! [X32,X33] :
      ( hskp13
      | ~ c0_1(X32)
      | c3_1(X32)
      | c1_1(X32)
      | ~ ndr1_0
      | ~ c3_1(X33)
      | c2_1(X33)
      | c1_1(X33) ),
    inference(duplicate_literal_removal,[],[f180]) ).

fof(f180,plain,
    ! [X32,X33] :
      ( hskp13
      | ~ c0_1(X32)
      | c3_1(X32)
      | c1_1(X32)
      | ~ ndr1_0
      | ~ c3_1(X33)
      | c2_1(X33)
      | c1_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f460,plain,
    ( spl0_47
    | ~ spl0_21
    | spl0_48
    | spl0_7 ),
    inference(avatar_split_clause,[],[f244,f280,f458,f344,f454]) ).

fof(f244,plain,
    ! [X31,X30] :
      ( hskp17
      | ~ c3_1(X30)
      | ~ c1_1(X30)
      | c2_1(X30)
      | ~ ndr1_0
      | ~ c3_1(X31)
      | c2_1(X31)
      | c1_1(X31) ),
    inference(duplicate_literal_removal,[],[f181]) ).

fof(f181,plain,
    ! [X31,X30] :
      ( hskp17
      | ~ c3_1(X30)
      | ~ c1_1(X30)
      | c2_1(X30)
      | ~ ndr1_0
      | ~ c3_1(X31)
      | c2_1(X31)
      | c1_1(X31)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f456,plain,
    ( ~ spl0_21
    | spl0_47
    | spl0_20
    | spl0_37 ),
    inference(avatar_split_clause,[],[f182,f409,f339,f454,f344]) ).

fof(f182,plain,
    ! [X29] :
      ( hskp3
      | hskp28
      | ~ c3_1(X29)
      | c2_1(X29)
      | c1_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f452,plain,
    ( spl0_46
    | ~ spl0_21
    | spl0_32
    | spl0_14 ),
    inference(avatar_split_clause,[],[f245,f312,f391,f344,f449]) ).

fof(f245,plain,
    ! [X28,X27] :
      ( hskp31
      | ~ c1_1(X27)
      | ~ c0_1(X27)
      | c2_1(X27)
      | ~ ndr1_0
      | ~ c0_1(X28)
      | c3_1(X28)
      | c1_1(X28) ),
    inference(duplicate_literal_removal,[],[f183]) ).

fof(f183,plain,
    ! [X28,X27] :
      ( hskp31
      | ~ c1_1(X27)
      | ~ c0_1(X27)
      | c2_1(X27)
      | ~ ndr1_0
      | ~ c0_1(X28)
      | c3_1(X28)
      | c1_1(X28)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f451,plain,
    ( spl0_46
    | ~ spl0_21
    | spl0_30
    | spl0_23 ),
    inference(avatar_split_clause,[],[f246,f351,f381,f344,f449]) ).

fof(f246,plain,
    ! [X26,X25] :
      ( hskp25
      | ~ c3_1(X25)
      | ~ c2_1(X25)
      | ~ c1_1(X25)
      | ~ ndr1_0
      | ~ c0_1(X26)
      | c3_1(X26)
      | c1_1(X26) ),
    inference(duplicate_literal_removal,[],[f184]) ).

fof(f184,plain,
    ! [X26,X25] :
      ( hskp25
      | ~ c3_1(X25)
      | ~ c2_1(X25)
      | ~ c1_1(X25)
      | ~ ndr1_0
      | ~ c0_1(X26)
      | c3_1(X26)
      | c1_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f447,plain,
    ( ~ spl0_21
    | spl0_45
    | spl0_20
    | spl0_12 ),
    inference(avatar_split_clause,[],[f185,f302,f339,f445,f344]) ).

fof(f185,plain,
    ! [X24] :
      ( hskp7
      | hskp28
      | ~ c2_1(X24)
      | c3_1(X24)
      | c1_1(X24)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f443,plain,
    ( spl0_44
    | ~ spl0_21
    | spl0_35
    | spl0_20 ),
    inference(avatar_split_clause,[],[f247,f339,f402,f344,f441]) ).

fof(f247,plain,
    ! [X22,X23] :
      ( hskp28
      | ~ c2_1(X22)
      | ~ c1_1(X22)
      | c3_1(X22)
      | ~ ndr1_0
      | ~ c2_1(X23)
      | ~ c0_1(X23)
      | c1_1(X23) ),
    inference(duplicate_literal_removal,[],[f186]) ).

fof(f186,plain,
    ! [X22,X23] :
      ( hskp28
      | ~ c2_1(X22)
      | ~ c1_1(X22)
      | c3_1(X22)
      | ~ ndr1_0
      | ~ c2_1(X23)
      | ~ c0_1(X23)
      | c1_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f439,plain,
    ( spl0_42
    | ~ spl0_21
    | spl0_25
    | spl0_10 ),
    inference(avatar_split_clause,[],[f248,f293,f361,f344,f431]) ).

fof(f248,plain,
    ! [X21,X20] :
      ( hskp30
      | ~ c2_1(X20)
      | ~ c1_1(X20)
      | ~ c0_1(X20)
      | ~ ndr1_0
      | ~ c3_1(X21)
      | ~ c0_1(X21)
      | c1_1(X21) ),
    inference(duplicate_literal_removal,[],[f187]) ).

fof(f187,plain,
    ! [X21,X20] :
      ( hskp30
      | ~ c2_1(X20)
      | ~ c1_1(X20)
      | ~ c0_1(X20)
      | ~ ndr1_0
      | ~ c3_1(X21)
      | ~ c0_1(X21)
      | c1_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f438,plain,
    ( ~ spl0_21
    | spl0_42
    | spl0_18
    | spl0_15 ),
    inference(avatar_split_clause,[],[f188,f316,f330,f431,f344]) ).

fof(f188,plain,
    ! [X19] :
      ( hskp8
      | hskp22
      | ~ c3_1(X19)
      | ~ c0_1(X19)
      | c1_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f429,plain,
    ( ~ spl0_21
    | spl0_40
    | spl0_41
    | spl0_8 ),
    inference(avatar_split_clause,[],[f190,f284,f426,f423,f344]) ).

fof(f190,plain,
    ! [X17] :
      ( hskp16
      | hskp5
      | ~ c3_1(X17)
      | ~ c2_1(X17)
      | c1_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f412,plain,
    ( ~ spl0_21
    | spl0_36
    | spl0_3
    | spl0_37 ),
    inference(avatar_split_clause,[],[f192,f409,f263,f406,f344]) ).

fof(f192,plain,
    ! [X15] :
      ( hskp3
      | hskp0
      | ~ c0_1(X15)
      | c3_1(X15)
      | c2_1(X15)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f404,plain,
    ( spl0_34
    | ~ spl0_21
    | spl0_35
    | spl0_7 ),
    inference(avatar_split_clause,[],[f249,f280,f402,f344,f399]) ).

fof(f249,plain,
    ! [X14,X13] :
      ( hskp17
      | ~ c2_1(X13)
      | ~ c1_1(X13)
      | c3_1(X13)
      | ~ ndr1_0
      | ~ c1_1(X14)
      | c3_1(X14)
      | c2_1(X14) ),
    inference(duplicate_literal_removal,[],[f193]) ).

fof(f193,plain,
    ! [X14,X13] :
      ( hskp17
      | ~ c2_1(X13)
      | ~ c1_1(X13)
      | c3_1(X13)
      | ~ ndr1_0
      | ~ c1_1(X14)
      | c3_1(X14)
      | c2_1(X14)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f397,plain,
    ( ~ spl0_21
    | spl0_32
    | spl0_33
    | spl0_17 ),
    inference(avatar_split_clause,[],[f194,f325,f394,f391,f344]) ).

fof(f194,plain,
    ! [X12] :
      ( hskp4
      | hskp24
      | ~ c1_1(X12)
      | ~ c0_1(X12)
      | c2_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f389,plain,
    ( spl0_29
    | ~ spl0_21
    | spl0_25
    | spl0_1 ),
    inference(avatar_split_clause,[],[f250,f254,f361,f344,f377]) ).

fof(f250,plain,
    ! [X10,X11] :
      ( hskp14
      | ~ c2_1(X10)
      | ~ c1_1(X10)
      | ~ c0_1(X10)
      | ~ ndr1_0
      | ~ c3_1(X11)
      | ~ c0_1(X11)
      | c2_1(X11) ),
    inference(duplicate_literal_removal,[],[f195]) ).

fof(f195,plain,
    ! [X10,X11] :
      ( hskp14
      | ~ c2_1(X10)
      | ~ c1_1(X10)
      | ~ c0_1(X10)
      | ~ ndr1_0
      | ~ c3_1(X11)
      | ~ c0_1(X11)
      | c2_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f388,plain,
    ( spl0_29
    | ~ spl0_21
    | spl0_22
    | spl0_23 ),
    inference(avatar_split_clause,[],[f251,f351,f348,f344,f377]) ).

fof(f251,plain,
    ! [X8,X9] :
      ( hskp25
      | ~ c3_1(X8)
      | ~ c1_1(X8)
      | ~ c0_1(X8)
      | ~ ndr1_0
      | ~ c3_1(X9)
      | ~ c0_1(X9)
      | c2_1(X9) ),
    inference(duplicate_literal_removal,[],[f196]) ).

fof(f196,plain,
    ! [X8,X9] :
      ( hskp25
      | ~ c3_1(X8)
      | ~ c1_1(X8)
      | ~ c0_1(X8)
      | ~ ndr1_0
      | ~ c3_1(X9)
      | ~ c0_1(X9)
      | c2_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f387,plain,
    ( spl0_29
    | ~ spl0_21
    | spl0_30
    | spl0_31 ),
    inference(avatar_split_clause,[],[f252,f384,f381,f344,f377]) ).

fof(f252,plain,
    ! [X6,X7] :
      ( hskp18
      | ~ c3_1(X6)
      | ~ c2_1(X6)
      | ~ c1_1(X6)
      | ~ ndr1_0
      | ~ c3_1(X7)
      | ~ c0_1(X7)
      | c2_1(X7) ),
    inference(duplicate_literal_removal,[],[f197]) ).

fof(f197,plain,
    ! [X6,X7] :
      ( hskp18
      | ~ c3_1(X6)
      | ~ c2_1(X6)
      | ~ c1_1(X6)
      | ~ ndr1_0
      | ~ c3_1(X7)
      | ~ c0_1(X7)
      | c2_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f379,plain,
    ( ~ spl0_21
    | spl0_29
    | spl0_9
    | spl0_3 ),
    inference(avatar_split_clause,[],[f198,f263,f289,f377,f344]) ).

fof(f198,plain,
    ! [X5] :
      ( hskp0
      | hskp19
      | ~ c3_1(X5)
      | ~ c0_1(X5)
      | c2_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f375,plain,
    ( ~ spl0_21
    | spl0_28
    | spl0_18
    | spl0_17 ),
    inference(avatar_split_clause,[],[f199,f325,f330,f373,f344]) ).

fof(f199,plain,
    ! [X4] :
      ( hskp4
      | hskp22
      | ~ c1_1(X4)
      | ~ c0_1(X4)
      | c3_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f371,plain,
    ( ~ spl0_21
    | spl0_27
    | spl0_8
    | spl0_19 ),
    inference(avatar_split_clause,[],[f200,f334,f284,f369,f344]) ).

fof(f200,plain,
    ! [X3] :
      ( hskp6
      | hskp16
      | ~ c2_1(X3)
      | ~ c0_1(X3)
      | c3_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f342,plain,
    ( spl0_20
    | spl0_13 ),
    inference(avatar_split_clause,[],[f204,f307,f339]) ).

fof(f204,plain,
    ( hskp10
    | hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f328,plain,
    ( spl0_16
    | spl0_1
    | spl0_17 ),
    inference(avatar_split_clause,[],[f206,f325,f254,f321]) ).

fof(f206,plain,
    ( hskp4
    | hskp14
    | hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f300,plain,
    ( spl0_9
    | spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f210,f297,f293,f289]) ).

fof(f210,plain,
    ( hskp23
    | hskp30
    | hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f287,plain,
    ( spl0_6
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f211,f284,f280,f276]) ).

fof(f211,plain,
    ( hskp16
    | hskp17
    | hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN512+1 : TPTP v8.2.0. Released v2.1.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon May 20 13:40:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (29475)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39  % (29477)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39  % (29480)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.39  % (29476)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.39  % (29479)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.39  % (29481)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.39  % (29482)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.39  % (29478)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.39  Detected minimum model sizes of [1]
% 0.15/0.39  Detected maximum model sizes of [32]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  Detected minimum model sizes of [1]
% 0.15/0.39  Detected maximum model sizes of [32]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [3]
% 0.15/0.40  TRYING [3]
% 0.15/0.40  Detected minimum model sizes of [1]
% 0.15/0.40  Detected maximum model sizes of [32]
% 0.15/0.40  TRYING [1]
% 0.15/0.40  Detected minimum model sizes of [1]
% 0.15/0.40  Detected maximum model sizes of [32]
% 0.15/0.40  TRYING [1]
% 0.15/0.40  TRYING [2]
% 0.15/0.40  TRYING [4]
% 0.15/0.40  TRYING [2]
% 0.15/0.40  TRYING [4]
% 0.15/0.40  TRYING [3]
% 0.15/0.40  TRYING [3]
% 0.22/0.40  TRYING [4]
% 0.22/0.40  TRYING [4]
% 0.22/0.41  TRYING [5]
% 0.22/0.41  TRYING [5]
% 0.22/0.41  TRYING [5]
% 0.22/0.41  TRYING [5]
% 0.22/0.43  % (29481)First to succeed.
% 0.22/0.44  TRYING [6]
% 0.22/0.45  % (29481)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29475"
% 0.22/0.45  % (29478)Also succeeded, but the first one will report.
% 0.22/0.45  % (29481)Refutation found. Thanks to Tanya!
% 0.22/0.45  % SZS status Theorem for theBenchmark
% 0.22/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.46  % (29481)------------------------------
% 0.22/0.46  % (29481)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.46  % (29481)Termination reason: Refutation
% 0.22/0.46  
% 0.22/0.46  % (29481)Memory used [KB]: 2120
% 0.22/0.46  % (29481)Time elapsed: 0.067 s
% 0.22/0.46  % (29481)Instructions burned: 108 (million)
% 0.22/0.46  % (29475)Success in time 0.096 s
%------------------------------------------------------------------------------