TSTP Solution File: SYN448+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN448+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n007.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 : Sun May  5 12:10:24 EDT 2024

% Result   : Theorem 0.22s 0.44s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  114
% Syntax   : Number of formulae    :  592 (   1 unt;   0 def)
%            Number of atoms       : 5639 (   0 equ)
%            Maximal formula atoms :  603 (   9 avg)
%            Number of connectives : 7432 (2385   ~;3512   |;1050   &)
%                                         ( 113 <=>; 372  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   95 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  148 ( 147 usr; 144 prp; 0-1 aty)
%            Number of functors    :   29 (  29 usr;  29 con; 0-0 aty)
%            Number of variables   :  707 ( 707   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3800,plain,
    $false,
    inference(avatar_sat_refutation,[],[f230,f252,f270,f279,f321,f334,f338,f349,f361,f368,f373,f378,f384,f396,f406,f407,f411,f432,f441,f449,f453,f454,f458,f459,f472,f477,f478,f483,f485,f486,f487,f508,f513,f518,f524,f534,f540,f545,f550,f572,f577,f582,f604,f609,f614,f620,f625,f630,f631,f636,f641,f646,f668,f673,f678,f700,f705,f710,f716,f721,f726,f748,f753,f758,f764,f769,f774,f775,f796,f801,f806,f828,f833,f838,f844,f849,f854,f860,f865,f870,f871,f876,f881,f886,f892,f897,f902,f908,f913,f918,f924,f929,f934,f940,f945,f950,f965,f986,f988,f1005,f1383,f1444,f1477,f1623,f1685,f1771,f1787,f1812,f1846,f1947,f1950,f1954,f1976,f1980,f2114,f2419,f2441,f2450,f2452,f2454,f2464,f2486,f2541,f2736,f2738,f2771,f2944,f2994,f3006,f3007,f3066,f3070,f3090,f3112,f3134,f3153,f3191,f3198,f3307,f3322,f3383,f3404,f3406,f3616,f3794,f3797]) ).

fof(f3797,plain,
    ( ~ spl0_42
    | ~ spl0_51
    | spl0_109
    | spl0_110
    | spl0_111 ),
    inference(avatar_contradiction_clause,[],[f3796]) ).

fof(f3796,plain,
    ( $false
    | ~ spl0_42
    | ~ spl0_51
    | spl0_109
    | spl0_110
    | spl0_111 ),
    inference(subsumption_resolution,[],[f3795,f747]) ).

fof(f747,plain,
    ( ~ c2_1(a480)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f745]) ).

fof(f745,plain,
    ( spl0_109
  <=> c2_1(a480) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f3795,plain,
    ( c2_1(a480)
    | ~ spl0_42
    | ~ spl0_51
    | spl0_109
    | spl0_110
    | spl0_111 ),
    inference(subsumption_resolution,[],[f3780,f757]) ).

fof(f757,plain,
    ( ~ c0_1(a480)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f755]) ).

fof(f755,plain,
    ( spl0_111
  <=> c0_1(a480) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f3780,plain,
    ( c0_1(a480)
    | c2_1(a480)
    | ~ spl0_42
    | ~ spl0_51
    | spl0_109
    | spl0_110 ),
    inference(resolution,[],[f439,f3483]) ).

fof(f3483,plain,
    ( c3_1(a480)
    | ~ spl0_42
    | spl0_109
    | spl0_110 ),
    inference(subsumption_resolution,[],[f3474,f747]) ).

fof(f3474,plain,
    ( c3_1(a480)
    | c2_1(a480)
    | ~ spl0_42
    | spl0_110 ),
    inference(resolution,[],[f395,f752]) ).

fof(f752,plain,
    ( ~ c1_1(a480)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f750]) ).

fof(f750,plain,
    ( spl0_110
  <=> c1_1(a480) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f395,plain,
    ( ! [X24] :
        ( c1_1(X24)
        | c3_1(X24)
        | c2_1(X24) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f394,plain,
    ( spl0_42
  <=> ! [X24] :
        ( c3_1(X24)
        | c1_1(X24)
        | c2_1(X24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f439,plain,
    ( ! [X52] :
        ( ~ c3_1(X52)
        | c0_1(X52)
        | c2_1(X52) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f438,plain,
    ( spl0_51
  <=> ! [X52] :
        ( ~ c3_1(X52)
        | c0_1(X52)
        | c2_1(X52) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f3794,plain,
    ( spl0_168
    | ~ spl0_51
    | spl0_124
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f3793,f835,f825,f438,f2991]) ).

fof(f2991,plain,
    ( spl0_168
  <=> c0_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f825,plain,
    ( spl0_124
  <=> c2_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f835,plain,
    ( spl0_126
  <=> c3_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f3793,plain,
    ( c0_1(a474)
    | ~ spl0_51
    | spl0_124
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f3777,f827]) ).

fof(f827,plain,
    ( ~ c2_1(a474)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f825]) ).

fof(f3777,plain,
    ( c0_1(a474)
    | c2_1(a474)
    | ~ spl0_51
    | ~ spl0_126 ),
    inference(resolution,[],[f439,f837]) ).

fof(f837,plain,
    ( c3_1(a474)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f835]) ).

fof(f3616,plain,
    ( ~ spl0_42
    | ~ spl0_55
    | spl0_94
    | spl0_95
    | spl0_96 ),
    inference(avatar_contradiction_clause,[],[f3615]) ).

fof(f3615,plain,
    ( $false
    | ~ spl0_42
    | ~ spl0_55
    | spl0_94
    | spl0_95
    | spl0_96 ),
    inference(subsumption_resolution,[],[f3614,f3487]) ).

fof(f3487,plain,
    ( c2_1(a494)
    | ~ spl0_42
    | spl0_94
    | spl0_95 ),
    inference(subsumption_resolution,[],[f3476,f667]) ).

fof(f667,plain,
    ( ~ c3_1(a494)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f665,plain,
    ( spl0_94
  <=> c3_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f3476,plain,
    ( c3_1(a494)
    | c2_1(a494)
    | ~ spl0_42
    | spl0_95 ),
    inference(resolution,[],[f395,f672]) ).

fof(f672,plain,
    ( ~ c1_1(a494)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f670,plain,
    ( spl0_95
  <=> c1_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f3614,plain,
    ( ~ c2_1(a494)
    | ~ spl0_55
    | spl0_95
    | spl0_96 ),
    inference(subsumption_resolution,[],[f3604,f677]) ).

fof(f677,plain,
    ( ~ c0_1(a494)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f675,plain,
    ( spl0_96
  <=> c0_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f3604,plain,
    ( c0_1(a494)
    | ~ c2_1(a494)
    | ~ spl0_55
    | spl0_95 ),
    inference(resolution,[],[f457,f672]) ).

fof(f457,plain,
    ( ! [X64] :
        ( c1_1(X64)
        | c0_1(X64)
        | ~ c2_1(X64) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f456,plain,
    ( spl0_55
  <=> ! [X64] :
        ( ~ c2_1(X64)
        | c0_1(X64)
        | c1_1(X64) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f3406,plain,
    ( ~ spl0_34
    | ~ spl0_37
    | ~ spl0_42
    | spl0_82
    | ~ spl0_84 ),
    inference(avatar_contradiction_clause,[],[f3405]) ).

fof(f3405,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_42
    | spl0_82
    | ~ spl0_84 ),
    inference(subsumption_resolution,[],[f3401,f613]) ).

fof(f613,plain,
    ( c0_1(a512)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f611]) ).

fof(f611,plain,
    ( spl0_84
  <=> c0_1(a512) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f3401,plain,
    ( ~ c0_1(a512)
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_42
    | spl0_82 ),
    inference(resolution,[],[f3394,f603]) ).

fof(f603,plain,
    ( ~ c1_1(a512)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f601,plain,
    ( spl0_82
  <=> c1_1(a512) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f3394,plain,
    ( ! [X11] :
        ( c1_1(X11)
        | ~ c0_1(X11) )
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_42 ),
    inference(subsumption_resolution,[],[f360,f3323]) ).

fof(f3323,plain,
    ( ! [X24] :
        ( c1_1(X24)
        | c3_1(X24) )
    | ~ spl0_37
    | ~ spl0_42 ),
    inference(subsumption_resolution,[],[f395,f372]) ).

fof(f372,plain,
    ( ! [X16] :
        ( ~ c2_1(X16)
        | c1_1(X16)
        | c3_1(X16) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f371,plain,
    ( spl0_37
  <=> ! [X16] :
        ( ~ c2_1(X16)
        | c1_1(X16)
        | c3_1(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f360,plain,
    ( ! [X11] :
        ( ~ c3_1(X11)
        | c1_1(X11)
        | ~ c0_1(X11) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f359,plain,
    ( spl0_34
  <=> ! [X11] :
        ( ~ c3_1(X11)
        | c1_1(X11)
        | ~ c0_1(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f3404,plain,
    ( ~ spl0_168
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_42
    | spl0_125 ),
    inference(avatar_split_clause,[],[f3397,f830,f394,f371,f359,f2991]) ).

fof(f830,plain,
    ( spl0_125
  <=> c1_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f3397,plain,
    ( ~ c0_1(a474)
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_42
    | spl0_125 ),
    inference(resolution,[],[f3394,f832]) ).

fof(f832,plain,
    ( ~ c1_1(a474)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f830]) ).

fof(f3383,plain,
    ( ~ spl0_166
    | ~ spl0_29
    | spl0_103
    | spl0_104 ),
    inference(avatar_split_clause,[],[f3382,f718,f713,f340,f2790]) ).

fof(f2790,plain,
    ( spl0_166
  <=> c0_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f340,plain,
    ( spl0_29
  <=> ! [X8] :
        ( ~ c0_1(X8)
        | c2_1(X8)
        | c3_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f713,plain,
    ( spl0_103
  <=> c3_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f718,plain,
    ( spl0_104
  <=> c2_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f3382,plain,
    ( ~ c0_1(a488)
    | ~ spl0_29
    | spl0_103
    | spl0_104 ),
    inference(subsumption_resolution,[],[f3371,f720]) ).

fof(f720,plain,
    ( ~ c2_1(a488)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f718]) ).

fof(f3371,plain,
    ( c2_1(a488)
    | ~ c0_1(a488)
    | ~ spl0_29
    | spl0_103 ),
    inference(resolution,[],[f341,f715]) ).

fof(f715,plain,
    ( ~ c3_1(a488)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f341,plain,
    ( ! [X8] :
        ( c3_1(X8)
        | c2_1(X8)
        | ~ c0_1(X8) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f3322,plain,
    ( ~ spl0_163
    | ~ spl0_44
    | spl0_136
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f3321,f894,f889,f403,f2447]) ).

fof(f2447,plain,
    ( spl0_163
  <=> c2_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f403,plain,
    ( spl0_44
  <=> ! [X28] :
        ( ~ c3_1(X28)
        | c0_1(X28)
        | ~ c2_1(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f889,plain,
    ( spl0_136
  <=> c0_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f894,plain,
    ( spl0_137
  <=> c3_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f3321,plain,
    ( ~ c2_1(a466)
    | ~ spl0_44
    | spl0_136
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f3292,f891]) ).

fof(f891,plain,
    ( ~ c0_1(a466)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f889]) ).

fof(f3292,plain,
    ( c0_1(a466)
    | ~ c2_1(a466)
    | ~ spl0_44
    | ~ spl0_137 ),
    inference(resolution,[],[f404,f896]) ).

fof(f896,plain,
    ( c3_1(a466)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f404,plain,
    ( ! [X28] :
        ( ~ c3_1(X28)
        | c0_1(X28)
        | ~ c2_1(X28) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f3307,plain,
    ( ~ spl0_44
    | ~ spl0_60
    | spl0_133
    | spl0_134
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f3306]) ).

fof(f3306,plain,
    ( $false
    | ~ spl0_44
    | ~ spl0_60
    | spl0_133
    | spl0_134
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f3305,f2940]) ).

fof(f2940,plain,
    ( c2_1(a467)
    | ~ spl0_60
    | spl0_133
    | spl0_134 ),
    inference(subsumption_resolution,[],[f2925,f880]) ).

fof(f880,plain,
    ( ~ c0_1(a467)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f878]) ).

fof(f878,plain,
    ( spl0_134
  <=> c0_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2925,plain,
    ( c0_1(a467)
    | c2_1(a467)
    | ~ spl0_60
    | spl0_133 ),
    inference(resolution,[],[f482,f875]) ).

fof(f875,plain,
    ( ~ c1_1(a467)
    | spl0_133 ),
    inference(avatar_component_clause,[],[f873]) ).

fof(f873,plain,
    ( spl0_133
  <=> c1_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f482,plain,
    ( ! [X82] :
        ( c1_1(X82)
        | c0_1(X82)
        | c2_1(X82) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f481,plain,
    ( spl0_60
  <=> ! [X82] :
        ( c2_1(X82)
        | c0_1(X82)
        | c1_1(X82) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f3305,plain,
    ( ~ c2_1(a467)
    | ~ spl0_44
    | spl0_134
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f3293,f880]) ).

fof(f3293,plain,
    ( c0_1(a467)
    | ~ c2_1(a467)
    | ~ spl0_44
    | ~ spl0_135 ),
    inference(resolution,[],[f404,f885]) ).

fof(f885,plain,
    ( c3_1(a467)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f883]) ).

fof(f883,plain,
    ( spl0_135
  <=> c3_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f3198,plain,
    ( spl0_166
    | ~ spl0_60
    | spl0_104
    | spl0_105 ),
    inference(avatar_split_clause,[],[f3197,f723,f718,f481,f2790]) ).

fof(f723,plain,
    ( spl0_105
  <=> c1_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f3197,plain,
    ( c0_1(a488)
    | ~ spl0_60
    | spl0_104
    | spl0_105 ),
    inference(subsumption_resolution,[],[f3196,f720]) ).

fof(f3196,plain,
    ( c0_1(a488)
    | c2_1(a488)
    | ~ spl0_60
    | spl0_105 ),
    inference(resolution,[],[f725,f482]) ).

fof(f725,plain,
    ( ~ c1_1(a488)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f723]) ).

fof(f3191,plain,
    ( ~ spl0_55
    | ~ spl0_60
    | spl0_85
    | spl0_153 ),
    inference(avatar_contradiction_clause,[],[f3190]) ).

fof(f3190,plain,
    ( $false
    | ~ spl0_55
    | ~ spl0_60
    | spl0_85
    | spl0_153 ),
    inference(subsumption_resolution,[],[f3180,f1475]) ).

fof(f1475,plain,
    ( ~ c0_1(a503)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f1474]) ).

fof(f1474,plain,
    ( spl0_153
  <=> c0_1(a503) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f3180,plain,
    ( c0_1(a503)
    | ~ spl0_55
    | ~ spl0_60
    | spl0_85 ),
    inference(resolution,[],[f3172,f619]) ).

fof(f619,plain,
    ( ~ c1_1(a503)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f617]) ).

fof(f617,plain,
    ( spl0_85
  <=> c1_1(a503) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f3172,plain,
    ( ! [X64] :
        ( c1_1(X64)
        | c0_1(X64) )
    | ~ spl0_55
    | ~ spl0_60 ),
    inference(subsumption_resolution,[],[f457,f482]) ).

fof(f3153,plain,
    ( ~ spl0_52
    | ~ spl0_60
    | spl0_140
    | spl0_141 ),
    inference(avatar_contradiction_clause,[],[f3152]) ).

fof(f3152,plain,
    ( $false
    | ~ spl0_52
    | ~ spl0_60
    | spl0_140
    | spl0_141 ),
    inference(subsumption_resolution,[],[f3139,f917]) ).

fof(f917,plain,
    ( ~ c0_1(a465)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f915]) ).

fof(f915,plain,
    ( spl0_141
  <=> c0_1(a465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f3139,plain,
    ( c0_1(a465)
    | ~ spl0_52
    | ~ spl0_60
    | spl0_140 ),
    inference(resolution,[],[f3135,f912]) ).

fof(f912,plain,
    ( ~ c2_1(a465)
    | spl0_140 ),
    inference(avatar_component_clause,[],[f910]) ).

fof(f910,plain,
    ( spl0_140
  <=> c2_1(a465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f3135,plain,
    ( ! [X56] :
        ( c2_1(X56)
        | c0_1(X56) )
    | ~ spl0_52
    | ~ spl0_60 ),
    inference(subsumption_resolution,[],[f444,f482]) ).

fof(f444,plain,
    ( ! [X56] :
        ( ~ c1_1(X56)
        | c0_1(X56)
        | c2_1(X56) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f443,plain,
    ( spl0_52
  <=> ! [X56] :
        ( ~ c1_1(X56)
        | c0_1(X56)
        | c2_1(X56) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f3134,plain,
    ( ~ spl0_147
    | ~ spl0_29
    | spl0_145
    | spl0_146 ),
    inference(avatar_split_clause,[],[f3129,f942,f937,f340,f947]) ).

fof(f947,plain,
    ( spl0_147
  <=> c0_1(a460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f937,plain,
    ( spl0_145
  <=> c3_1(a460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f942,plain,
    ( spl0_146
  <=> c2_1(a460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f3129,plain,
    ( ~ c0_1(a460)
    | ~ spl0_29
    | spl0_145
    | spl0_146 ),
    inference(subsumption_resolution,[],[f3117,f944]) ).

fof(f944,plain,
    ( ~ c2_1(a460)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f942]) ).

fof(f3117,plain,
    ( c2_1(a460)
    | ~ c0_1(a460)
    | ~ spl0_29
    | spl0_145 ),
    inference(resolution,[],[f341,f939]) ).

fof(f939,plain,
    ( ~ c3_1(a460)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f937]) ).

fof(f3112,plain,
    ( spl0_54
    | ~ spl0_26
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f3111,f481,f328,f451]) ).

fof(f451,plain,
    ( spl0_54
  <=> ! [X61] :
        ( c3_1(X61)
        | c0_1(X61)
        | c2_1(X61) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f328,plain,
    ( spl0_26
  <=> ! [X4] :
        ( ~ c1_1(X4)
        | c2_1(X4)
        | c3_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f3111,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_26
    | ~ spl0_60 ),
    inference(duplicate_literal_removal,[],[f3095]) ).

fof(f3095,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_26
    | ~ spl0_60 ),
    inference(resolution,[],[f329,f482]) ).

fof(f329,plain,
    ( ! [X4] :
        ( ~ c1_1(X4)
        | c2_1(X4)
        | c3_1(X4) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f3090,plain,
    ( ~ spl0_28
    | spl0_130
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f3089]) ).

fof(f3089,plain,
    ( $false
    | ~ spl0_28
    | spl0_130
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f3088,f869]) ).

fof(f869,plain,
    ( c0_1(a468)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f867]) ).

fof(f867,plain,
    ( spl0_132
  <=> c0_1(a468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f3088,plain,
    ( ~ c0_1(a468)
    | ~ spl0_28
    | spl0_130
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f3077,f859]) ).

fof(f859,plain,
    ( ~ c2_1(a468)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f857]) ).

fof(f857,plain,
    ( spl0_130
  <=> c2_1(a468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f3077,plain,
    ( c2_1(a468)
    | ~ c0_1(a468)
    | ~ spl0_28
    | ~ spl0_131 ),
    inference(resolution,[],[f337,f864]) ).

fof(f864,plain,
    ( c3_1(a468)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f862]) ).

fof(f862,plain,
    ( spl0_131
  <=> c3_1(a468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f337,plain,
    ( ! [X5] :
        ( ~ c3_1(X5)
        | c2_1(X5)
        | ~ c0_1(X5) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f336,plain,
    ( spl0_28
  <=> ! [X5] :
        ( ~ c3_1(X5)
        | c2_1(X5)
        | ~ c0_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f3070,plain,
    ( ~ spl0_48
    | spl0_112
    | spl0_113
    | ~ spl0_114 ),
    inference(avatar_contradiction_clause,[],[f3069]) ).

fof(f3069,plain,
    ( $false
    | ~ spl0_48
    | spl0_112
    | spl0_113
    | ~ spl0_114 ),
    inference(subsumption_resolution,[],[f3068,f773]) ).

fof(f773,plain,
    ( c2_1(a478)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f771,plain,
    ( spl0_114
  <=> c2_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f3068,plain,
    ( ~ c2_1(a478)
    | ~ spl0_48
    | spl0_112
    | spl0_113 ),
    inference(subsumption_resolution,[],[f3059,f768]) ).

fof(f768,plain,
    ( ~ c0_1(a478)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f766]) ).

fof(f766,plain,
    ( spl0_113
  <=> c0_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f3059,plain,
    ( c0_1(a478)
    | ~ c2_1(a478)
    | ~ spl0_48
    | spl0_112 ),
    inference(resolution,[],[f427,f763]) ).

fof(f763,plain,
    ( ~ c3_1(a478)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f761]) ).

fof(f761,plain,
    ( spl0_112
  <=> c3_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f427,plain,
    ( ! [X48] :
        ( c3_1(X48)
        | c0_1(X48)
        | ~ c2_1(X48) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f426,plain,
    ( spl0_48
  <=> ! [X48] :
        ( ~ c2_1(X48)
        | c0_1(X48)
        | c3_1(X48) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f3066,plain,
    ( ~ spl0_129
    | ~ spl0_48
    | spl0_127
    | spl0_158 ),
    inference(avatar_split_clause,[],[f3065,f1735,f841,f426,f851]) ).

fof(f851,plain,
    ( spl0_129
  <=> c2_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f841,plain,
    ( spl0_127
  <=> c3_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1735,plain,
    ( spl0_158
  <=> c0_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f3065,plain,
    ( ~ c2_1(a471)
    | ~ spl0_48
    | spl0_127
    | spl0_158 ),
    inference(subsumption_resolution,[],[f3056,f1737]) ).

fof(f1737,plain,
    ( ~ c0_1(a471)
    | spl0_158 ),
    inference(avatar_component_clause,[],[f1735]) ).

fof(f3056,plain,
    ( c0_1(a471)
    | ~ c2_1(a471)
    | ~ spl0_48
    | spl0_127 ),
    inference(resolution,[],[f427,f843]) ).

fof(f843,plain,
    ( ~ c3_1(a471)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f841]) ).

fof(f3007,plain,
    ( ~ spl0_166
    | ~ spl0_34
    | ~ spl0_39
    | spl0_105 ),
    inference(avatar_split_clause,[],[f3000,f723,f380,f359,f2790]) ).

fof(f380,plain,
    ( spl0_39
  <=> ! [X18] :
        ( ~ c0_1(X18)
        | c1_1(X18)
        | c3_1(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f3000,plain,
    ( ~ c0_1(a488)
    | ~ spl0_34
    | ~ spl0_39
    | spl0_105 ),
    inference(resolution,[],[f2951,f725]) ).

fof(f2951,plain,
    ( ! [X11] :
        ( c1_1(X11)
        | ~ c0_1(X11) )
    | ~ spl0_34
    | ~ spl0_39 ),
    inference(subsumption_resolution,[],[f360,f381]) ).

fof(f381,plain,
    ( ! [X18] :
        ( ~ c0_1(X18)
        | c1_1(X18)
        | c3_1(X18) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f3006,plain,
    ( ~ spl0_168
    | ~ spl0_34
    | ~ spl0_39
    | spl0_125 ),
    inference(avatar_split_clause,[],[f2999,f830,f380,f359,f2991]) ).

fof(f2999,plain,
    ( ~ c0_1(a474)
    | ~ spl0_34
    | ~ spl0_39
    | spl0_125 ),
    inference(resolution,[],[f2951,f832]) ).

fof(f2994,plain,
    ( spl0_124
    | spl0_168
    | ~ spl0_60
    | spl0_125 ),
    inference(avatar_split_clause,[],[f2927,f830,f481,f2991,f825]) ).

fof(f2927,plain,
    ( c0_1(a474)
    | c2_1(a474)
    | ~ spl0_60
    | spl0_125 ),
    inference(resolution,[],[f482,f832]) ).

fof(f2944,plain,
    ( ~ spl0_60
    | spl0_109
    | spl0_110
    | spl0_111 ),
    inference(avatar_contradiction_clause,[],[f2943]) ).

fof(f2943,plain,
    ( $false
    | ~ spl0_60
    | spl0_109
    | spl0_110
    | spl0_111 ),
    inference(subsumption_resolution,[],[f2942,f747]) ).

fof(f2942,plain,
    ( c2_1(a480)
    | ~ spl0_60
    | spl0_110
    | spl0_111 ),
    inference(subsumption_resolution,[],[f2929,f757]) ).

fof(f2929,plain,
    ( c0_1(a480)
    | c2_1(a480)
    | ~ spl0_60
    | spl0_110 ),
    inference(resolution,[],[f482,f752]) ).

fof(f2771,plain,
    ( ~ spl0_39
    | ~ spl0_54
    | spl0_103
    | spl0_104
    | spl0_105 ),
    inference(avatar_contradiction_clause,[],[f2770]) ).

fof(f2770,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_54
    | spl0_103
    | spl0_104
    | spl0_105 ),
    inference(subsumption_resolution,[],[f2769,f715]) ).

fof(f2769,plain,
    ( c3_1(a488)
    | ~ spl0_39
    | ~ spl0_54
    | spl0_103
    | spl0_104
    | spl0_105 ),
    inference(subsumption_resolution,[],[f2768,f725]) ).

fof(f2768,plain,
    ( c1_1(a488)
    | c3_1(a488)
    | ~ spl0_39
    | ~ spl0_54
    | spl0_103
    | spl0_104 ),
    inference(resolution,[],[f2731,f381]) ).

fof(f2731,plain,
    ( c0_1(a488)
    | ~ spl0_54
    | spl0_103
    | spl0_104 ),
    inference(subsumption_resolution,[],[f2717,f720]) ).

fof(f2717,plain,
    ( c0_1(a488)
    | c2_1(a488)
    | ~ spl0_54
    | spl0_103 ),
    inference(resolution,[],[f452,f715]) ).

fof(f452,plain,
    ( ! [X61] :
        ( c3_1(X61)
        | c0_1(X61)
        | c2_1(X61) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f2738,plain,
    ( spl0_141
    | ~ spl0_54
    | spl0_139
    | spl0_140 ),
    inference(avatar_split_clause,[],[f2737,f910,f905,f451,f915]) ).

fof(f905,plain,
    ( spl0_139
  <=> c3_1(a465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2737,plain,
    ( c0_1(a465)
    | ~ spl0_54
    | spl0_139
    | spl0_140 ),
    inference(subsumption_resolution,[],[f2712,f912]) ).

fof(f2712,plain,
    ( c0_1(a465)
    | c2_1(a465)
    | ~ spl0_54
    | spl0_139 ),
    inference(resolution,[],[f452,f907]) ).

fof(f907,plain,
    ( ~ c3_1(a465)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f2736,plain,
    ( spl0_128
    | ~ spl0_37
    | spl0_127
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2735,f851,f841,f371,f846]) ).

fof(f846,plain,
    ( spl0_128
  <=> c1_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f2735,plain,
    ( c1_1(a471)
    | ~ spl0_37
    | spl0_127
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f2542,f843]) ).

fof(f2542,plain,
    ( c1_1(a471)
    | c3_1(a471)
    | ~ spl0_37
    | ~ spl0_129 ),
    inference(resolution,[],[f372,f853]) ).

fof(f853,plain,
    ( c2_1(a471)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f2541,plain,
    ( ~ spl0_35
    | spl0_85
    | ~ spl0_87
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f2540]) ).

fof(f2540,plain,
    ( $false
    | ~ spl0_35
    | spl0_85
    | ~ spl0_87
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f2539,f629]) ).

fof(f629,plain,
    ( c2_1(a503)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f627]) ).

fof(f627,plain,
    ( spl0_87
  <=> c2_1(a503) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f2539,plain,
    ( ~ c2_1(a503)
    | ~ spl0_35
    | spl0_85
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f2537,f619]) ).

fof(f2537,plain,
    ( c1_1(a503)
    | ~ c2_1(a503)
    | ~ spl0_35
    | ~ spl0_153 ),
    inference(resolution,[],[f1476,f364]) ).

fof(f364,plain,
    ( ! [X13] :
        ( ~ c0_1(X13)
        | c1_1(X13)
        | ~ c2_1(X13) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f363,plain,
    ( spl0_35
  <=> ! [X13] :
        ( ~ c2_1(X13)
        | c1_1(X13)
        | ~ c0_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1476,plain,
    ( c0_1(a503)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f1474]) ).

fof(f2486,plain,
    ( ~ spl0_30
    | ~ spl0_45
    | ~ spl0_101
    | ~ spl0_102 ),
    inference(avatar_contradiction_clause,[],[f2485]) ).

fof(f2485,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_45
    | ~ spl0_101
    | ~ spl0_102 ),
    inference(subsumption_resolution,[],[f2477,f704]) ).

fof(f704,plain,
    ( c3_1(a492)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f702,plain,
    ( spl0_101
  <=> c3_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f2477,plain,
    ( ~ c3_1(a492)
    | ~ spl0_30
    | ~ spl0_45
    | ~ spl0_102 ),
    inference(resolution,[],[f2455,f709]) ).

fof(f709,plain,
    ( c1_1(a492)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f707,plain,
    ( spl0_102
  <=> c1_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f2455,plain,
    ( ! [X36] :
        ( ~ c1_1(X36)
        | ~ c3_1(X36) )
    | ~ spl0_30
    | ~ spl0_45 ),
    inference(subsumption_resolution,[],[f410,f344]) ).

fof(f344,plain,
    ( ! [X7] :
        ( ~ c1_1(X7)
        | ~ c0_1(X7)
        | ~ c3_1(X7) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f343,plain,
    ( spl0_30
  <=> ! [X7] :
        ( ~ c3_1(X7)
        | ~ c0_1(X7)
        | ~ c1_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f410,plain,
    ( ! [X36] :
        ( ~ c1_1(X36)
        | c0_1(X36)
        | ~ c3_1(X36) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f409,plain,
    ( spl0_45
  <=> ! [X36] :
        ( ~ c3_1(X36)
        | c0_1(X36)
        | ~ c1_1(X36) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f2464,plain,
    ( ~ spl0_22
    | spl0_100
    | ~ spl0_101
    | ~ spl0_102 ),
    inference(avatar_contradiction_clause,[],[f2463]) ).

fof(f2463,plain,
    ( $false
    | ~ spl0_22
    | spl0_100
    | ~ spl0_101
    | ~ spl0_102 ),
    inference(subsumption_resolution,[],[f2462,f704]) ).

fof(f2462,plain,
    ( ~ c3_1(a492)
    | ~ spl0_22
    | spl0_100
    | ~ spl0_102 ),
    inference(subsumption_resolution,[],[f2459,f699]) ).

fof(f699,plain,
    ( ~ c2_1(a492)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f697,plain,
    ( spl0_100
  <=> c2_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f2459,plain,
    ( c2_1(a492)
    | ~ c3_1(a492)
    | ~ spl0_22
    | ~ spl0_102 ),
    inference(resolution,[],[f709,f312]) ).

fof(f312,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f311,plain,
    ( spl0_22
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f2454,plain,
    ( ~ spl0_153
    | ~ spl0_36
    | ~ spl0_86
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f2453,f627,f622,f366,f1474]) ).

fof(f366,plain,
    ( spl0_36
  <=> ! [X12] :
        ( ~ c3_1(X12)
        | ~ c0_1(X12)
        | ~ c2_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f622,plain,
    ( spl0_86
  <=> c3_1(a503) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f2453,plain,
    ( ~ c0_1(a503)
    | ~ spl0_36
    | ~ spl0_86
    | ~ spl0_87 ),
    inference(subsumption_resolution,[],[f2410,f629]) ).

fof(f2410,plain,
    ( ~ c0_1(a503)
    | ~ c2_1(a503)
    | ~ spl0_36
    | ~ spl0_86 ),
    inference(resolution,[],[f367,f624]) ).

fof(f624,plain,
    ( c3_1(a503)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f367,plain,
    ( ! [X12] :
        ( ~ c3_1(X12)
        | ~ c0_1(X12)
        | ~ c2_1(X12) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f2452,plain,
    ( spl0_152
    | spl0_118
    | ~ spl0_39
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f2004,f803,f380,f793,f1376]) ).

fof(f1376,plain,
    ( spl0_152
  <=> c3_1(a476) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f793,plain,
    ( spl0_118
  <=> c1_1(a476) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f803,plain,
    ( spl0_120
  <=> c0_1(a476) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f2004,plain,
    ( c1_1(a476)
    | c3_1(a476)
    | ~ spl0_39
    | ~ spl0_120 ),
    inference(resolution,[],[f381,f805]) ).

fof(f805,plain,
    ( c0_1(a476)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f803]) ).

fof(f2450,plain,
    ( ~ spl0_137
    | spl0_163
    | ~ spl0_22
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2324,f899,f311,f2447,f894]) ).

fof(f899,plain,
    ( spl0_138
  <=> c1_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2324,plain,
    ( c2_1(a466)
    | ~ c3_1(a466)
    | ~ spl0_22
    | ~ spl0_138 ),
    inference(resolution,[],[f312,f901]) ).

fof(f901,plain,
    ( c1_1(a466)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f899]) ).

fof(f2441,plain,
    ( ~ spl0_67
    | ~ spl0_156
    | ~ spl0_30
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2377,f531,f343,f1554,f521]) ).

fof(f521,plain,
    ( spl0_67
  <=> c3_1(a470) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1554,plain,
    ( spl0_156
  <=> c0_1(a470) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f531,plain,
    ( spl0_69
  <=> c1_1(a470) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f2377,plain,
    ( ~ c0_1(a470)
    | ~ c3_1(a470)
    | ~ spl0_30
    | ~ spl0_69 ),
    inference(resolution,[],[f344,f533]) ).

fof(f533,plain,
    ( c1_1(a470)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f2419,plain,
    ( ~ spl0_36
    | ~ spl0_119
    | ~ spl0_120
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f2418]) ).

fof(f2418,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_119
    | ~ spl0_120
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2417,f800]) ).

fof(f800,plain,
    ( c2_1(a476)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f798]) ).

fof(f798,plain,
    ( spl0_119
  <=> c2_1(a476) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f2417,plain,
    ( ~ c2_1(a476)
    | ~ spl0_36
    | ~ spl0_120
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2403,f805]) ).

fof(f2403,plain,
    ( ~ c0_1(a476)
    | ~ c2_1(a476)
    | ~ spl0_36
    | ~ spl0_152 ),
    inference(resolution,[],[f367,f1378]) ).

fof(f1378,plain,
    ( c3_1(a476)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f1376]) ).

fof(f2114,plain,
    ( spl0_128
    | ~ spl0_39
    | spl0_127
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2113,f1735,f841,f380,f846]) ).

fof(f2113,plain,
    ( c1_1(a471)
    | ~ spl0_39
    | spl0_127
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f2109,f843]) ).

fof(f2109,plain,
    ( c1_1(a471)
    | c3_1(a471)
    | ~ spl0_39
    | ~ spl0_158 ),
    inference(resolution,[],[f1736,f381]) ).

fof(f1736,plain,
    ( c0_1(a471)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1735]) ).

fof(f1980,plain,
    ( ~ spl0_56
    | spl0_94
    | spl0_95
    | spl0_96 ),
    inference(avatar_contradiction_clause,[],[f1979]) ).

fof(f1979,plain,
    ( $false
    | ~ spl0_56
    | spl0_94
    | spl0_95
    | spl0_96 ),
    inference(subsumption_resolution,[],[f1978,f667]) ).

fof(f1978,plain,
    ( c3_1(a494)
    | ~ spl0_56
    | spl0_95
    | spl0_96 ),
    inference(subsumption_resolution,[],[f1967,f677]) ).

fof(f1967,plain,
    ( c0_1(a494)
    | c3_1(a494)
    | ~ spl0_56
    | spl0_95 ),
    inference(resolution,[],[f462,f672]) ).

fof(f462,plain,
    ( ! [X68] :
        ( c1_1(X68)
        | c0_1(X68)
        | c3_1(X68) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f461,plain,
    ( spl0_56
  <=> ! [X68] :
        ( c3_1(X68)
        | c0_1(X68)
        | c1_1(X68) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1976,plain,
    ( ~ spl0_56
    | spl0_127
    | spl0_128
    | spl0_158 ),
    inference(avatar_contradiction_clause,[],[f1975]) ).

fof(f1975,plain,
    ( $false
    | ~ spl0_56
    | spl0_127
    | spl0_128
    | spl0_158 ),
    inference(subsumption_resolution,[],[f1974,f843]) ).

fof(f1974,plain,
    ( c3_1(a471)
    | ~ spl0_56
    | spl0_128
    | spl0_158 ),
    inference(subsumption_resolution,[],[f1961,f1737]) ).

fof(f1961,plain,
    ( c0_1(a471)
    | c3_1(a471)
    | ~ spl0_56
    | spl0_128 ),
    inference(resolution,[],[f462,f848]) ).

fof(f848,plain,
    ( ~ c1_1(a471)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f846]) ).

fof(f1954,plain,
    ( ~ spl0_67
    | spl0_156
    | ~ spl0_45
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1924,f531,f409,f1554,f521]) ).

fof(f1924,plain,
    ( c0_1(a470)
    | ~ c3_1(a470)
    | ~ spl0_45
    | ~ spl0_69 ),
    inference(resolution,[],[f410,f533]) ).

fof(f1950,plain,
    ( ~ spl0_55
    | spl0_142
    | spl0_143
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f1949]) ).

fof(f1949,plain,
    ( $false
    | ~ spl0_55
    | spl0_142
    | spl0_143
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f1948,f933]) ).

fof(f933,plain,
    ( c2_1(a463)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f931]) ).

fof(f931,plain,
    ( spl0_144
  <=> c2_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1948,plain,
    ( ~ c2_1(a463)
    | ~ spl0_55
    | spl0_142
    | spl0_143 ),
    inference(subsumption_resolution,[],[f1934,f928]) ).

fof(f928,plain,
    ( ~ c0_1(a463)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f926]) ).

fof(f926,plain,
    ( spl0_143
  <=> c0_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1934,plain,
    ( c0_1(a463)
    | ~ c2_1(a463)
    | ~ spl0_55
    | spl0_142 ),
    inference(resolution,[],[f457,f923]) ).

fof(f923,plain,
    ( ~ c1_1(a463)
    | spl0_142 ),
    inference(avatar_component_clause,[],[f921]) ).

fof(f921,plain,
    ( spl0_142
  <=> c1_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1947,plain,
    ( spl0_44
    | ~ spl0_45
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1946,f456,f409,f403]) ).

fof(f1946,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_45
    | ~ spl0_55 ),
    inference(duplicate_literal_removal,[],[f1931]) ).

fof(f1931,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_45
    | ~ spl0_55 ),
    inference(resolution,[],[f457,f410]) ).

fof(f1846,plain,
    ( ~ spl0_35
    | spl0_118
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f1845]) ).

fof(f1845,plain,
    ( $false
    | ~ spl0_35
    | spl0_118
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(subsumption_resolution,[],[f1844,f800]) ).

fof(f1844,plain,
    ( ~ c2_1(a476)
    | ~ spl0_35
    | spl0_118
    | ~ spl0_120 ),
    inference(subsumption_resolution,[],[f1834,f795]) ).

fof(f795,plain,
    ( ~ c1_1(a476)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f1834,plain,
    ( c1_1(a476)
    | ~ c2_1(a476)
    | ~ spl0_35
    | ~ spl0_120 ),
    inference(resolution,[],[f364,f805]) ).

fof(f1812,plain,
    ( ~ spl0_23
    | ~ spl0_46
    | ~ spl0_52
    | spl0_136
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f1811]) ).

fof(f1811,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_46
    | ~ spl0_52
    | spl0_136
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1800,f891]) ).

fof(f1800,plain,
    ( c0_1(a466)
    | ~ spl0_23
    | ~ spl0_46
    | ~ spl0_52
    | ~ spl0_138 ),
    inference(resolution,[],[f1794,f901]) ).

fof(f1794,plain,
    ( ! [X41] :
        ( ~ c1_1(X41)
        | c0_1(X41) )
    | ~ spl0_23
    | ~ spl0_46
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f416,f1536]) ).

fof(f1536,plain,
    ( ! [X56] :
        ( ~ c1_1(X56)
        | c2_1(X56) )
    | ~ spl0_23
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f444,f316]) ).

fof(f316,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f315,plain,
    ( spl0_23
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f416,plain,
    ( ! [X41] :
        ( ~ c1_1(X41)
        | c0_1(X41)
        | ~ c2_1(X41) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f415,plain,
    ( spl0_46
  <=> ! [X41] :
        ( ~ c2_1(X41)
        | c0_1(X41)
        | ~ c1_1(X41) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1787,plain,
    ( ~ spl0_45
    | spl0_136
    | ~ spl0_137
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f1786]) ).

fof(f1786,plain,
    ( $false
    | ~ spl0_45
    | spl0_136
    | ~ spl0_137
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1785,f896]) ).

fof(f1785,plain,
    ( ~ c3_1(a466)
    | ~ spl0_45
    | spl0_136
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1776,f891]) ).

fof(f1776,plain,
    ( c0_1(a466)
    | ~ c3_1(a466)
    | ~ spl0_45
    | ~ spl0_138 ),
    inference(resolution,[],[f410,f901]) ).

fof(f1771,plain,
    ( ~ spl0_36
    | ~ spl0_70
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(avatar_contradiction_clause,[],[f1770]) ).

fof(f1770,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_70
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(subsumption_resolution,[],[f1769,f544]) ).

fof(f544,plain,
    ( c2_1(a461)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f542,plain,
    ( spl0_71
  <=> c2_1(a461) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1769,plain,
    ( ~ c2_1(a461)
    | ~ spl0_36
    | ~ spl0_70
    | ~ spl0_72 ),
    inference(subsumption_resolution,[],[f1766,f549]) ).

fof(f549,plain,
    ( c0_1(a461)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f547,plain,
    ( spl0_72
  <=> c0_1(a461) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1766,plain,
    ( ~ c0_1(a461)
    | ~ c2_1(a461)
    | ~ spl0_36
    | ~ spl0_70 ),
    inference(resolution,[],[f367,f539]) ).

fof(f539,plain,
    ( c3_1(a461)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f537,plain,
    ( spl0_70
  <=> c3_1(a461) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1685,plain,
    ( ~ spl0_39
    | spl0_76
    | spl0_77
    | ~ spl0_78 ),
    inference(avatar_contradiction_clause,[],[f1684]) ).

fof(f1684,plain,
    ( $false
    | ~ spl0_39
    | spl0_76
    | spl0_77
    | ~ spl0_78 ),
    inference(subsumption_resolution,[],[f1683,f571]) ).

fof(f571,plain,
    ( ~ c3_1(a533)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f569,plain,
    ( spl0_76
  <=> c3_1(a533) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1683,plain,
    ( c3_1(a533)
    | ~ spl0_39
    | spl0_77
    | ~ spl0_78 ),
    inference(subsumption_resolution,[],[f1669,f576]) ).

fof(f576,plain,
    ( ~ c1_1(a533)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f574]) ).

fof(f574,plain,
    ( spl0_77
  <=> c1_1(a533) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1669,plain,
    ( c1_1(a533)
    | c3_1(a533)
    | ~ spl0_39
    | ~ spl0_78 ),
    inference(resolution,[],[f381,f581]) ).

fof(f581,plain,
    ( c0_1(a533)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f579]) ).

fof(f579,plain,
    ( spl0_78
  <=> c0_1(a533) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1623,plain,
    ( ~ spl0_64
    | ~ spl0_30
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1620,f515,f510,f343,f505]) ).

fof(f505,plain,
    ( spl0_64
  <=> c3_1(a473) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f510,plain,
    ( spl0_65
  <=> c1_1(a473) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f515,plain,
    ( spl0_66
  <=> c0_1(a473) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1620,plain,
    ( ~ c3_1(a473)
    | ~ spl0_30
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(subsumption_resolution,[],[f1619,f517]) ).

fof(f517,plain,
    ( c0_1(a473)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f1619,plain,
    ( ~ c0_1(a473)
    | ~ c3_1(a473)
    | ~ spl0_30
    | ~ spl0_65 ),
    inference(resolution,[],[f344,f512]) ).

fof(f512,plain,
    ( c1_1(a473)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f1477,plain,
    ( ~ spl0_87
    | spl0_153
    | ~ spl0_44
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1431,f622,f403,f1474,f627]) ).

fof(f1431,plain,
    ( c0_1(a503)
    | ~ c2_1(a503)
    | ~ spl0_44
    | ~ spl0_86 ),
    inference(resolution,[],[f404,f624]) ).

fof(f1444,plain,
    ( spl0_88
    | ~ spl0_44
    | ~ spl0_89
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1443,f643,f638,f403,f633]) ).

fof(f633,plain,
    ( spl0_88
  <=> c0_1(a502) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f638,plain,
    ( spl0_89
  <=> c3_1(a502) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f643,plain,
    ( spl0_90
  <=> c2_1(a502) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1443,plain,
    ( c0_1(a502)
    | ~ spl0_44
    | ~ spl0_89
    | ~ spl0_90 ),
    inference(subsumption_resolution,[],[f1430,f645]) ).

fof(f645,plain,
    ( c2_1(a502)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f643]) ).

fof(f1430,plain,
    ( c0_1(a502)
    | ~ c2_1(a502)
    | ~ spl0_44
    | ~ spl0_89 ),
    inference(resolution,[],[f404,f640]) ).

fof(f640,plain,
    ( c3_1(a502)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f1383,plain,
    ( spl0_29
    | ~ spl0_23
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f1294,f394,f315,f340]) ).

fof(f1294,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_23
    | ~ spl0_42 ),
    inference(duplicate_literal_removal,[],[f1279]) ).

fof(f1279,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_23
    | ~ spl0_42 ),
    inference(resolution,[],[f395,f316]) ).

fof(f1005,plain,
    ( ~ spl0_42
    | spl0_103
    | spl0_104
    | spl0_105 ),
    inference(avatar_contradiction_clause,[],[f1004]) ).

fof(f1004,plain,
    ( $false
    | ~ spl0_42
    | spl0_103
    | spl0_104
    | spl0_105 ),
    inference(subsumption_resolution,[],[f1003,f720]) ).

fof(f1003,plain,
    ( c2_1(a488)
    | ~ spl0_42
    | spl0_103
    | spl0_105 ),
    inference(subsumption_resolution,[],[f995,f715]) ).

fof(f995,plain,
    ( c3_1(a488)
    | c2_1(a488)
    | ~ spl0_42
    | spl0_105 ),
    inference(resolution,[],[f395,f725]) ).

fof(f988,plain,
    ( ~ spl0_37
    | ~ spl0_42
    | spl0_76
    | spl0_77 ),
    inference(avatar_contradiction_clause,[],[f987]) ).

fof(f987,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_42
    | spl0_76
    | spl0_77 ),
    inference(subsumption_resolution,[],[f981,f571]) ).

fof(f981,plain,
    ( c3_1(a533)
    | ~ spl0_37
    | ~ spl0_42
    | spl0_77 ),
    inference(resolution,[],[f970,f576]) ).

fof(f970,plain,
    ( ! [X24] :
        ( c1_1(X24)
        | c3_1(X24) )
    | ~ spl0_37
    | ~ spl0_42 ),
    inference(subsumption_resolution,[],[f395,f372]) ).

fof(f986,plain,
    ( ~ spl0_37
    | ~ spl0_42
    | spl0_94
    | spl0_95 ),
    inference(avatar_contradiction_clause,[],[f985]) ).

fof(f985,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_42
    | spl0_94
    | spl0_95 ),
    inference(subsumption_resolution,[],[f979,f667]) ).

fof(f979,plain,
    ( c3_1(a494)
    | ~ spl0_37
    | ~ spl0_42
    | spl0_95 ),
    inference(resolution,[],[f970,f672]) ).

fof(f965,plain,
    ( ~ spl0_30
    | ~ spl0_34
    | ~ spl0_83
    | ~ spl0_84 ),
    inference(avatar_contradiction_clause,[],[f964]) ).

fof(f964,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_34
    | ~ spl0_83
    | ~ spl0_84 ),
    inference(subsumption_resolution,[],[f963,f613]) ).

fof(f963,plain,
    ( ~ c0_1(a512)
    | ~ spl0_30
    | ~ spl0_34
    | ~ spl0_83 ),
    inference(resolution,[],[f962,f608]) ).

fof(f608,plain,
    ( c3_1(a512)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f606,plain,
    ( spl0_83
  <=> c3_1(a512) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f962,plain,
    ( ! [X11] :
        ( ~ c3_1(X11)
        | ~ c0_1(X11) )
    | ~ spl0_30
    | ~ spl0_34 ),
    inference(subsumption_resolution,[],[f360,f344]) ).

fof(f950,plain,
    ( ~ spl0_49
    | spl0_147 ),
    inference(avatar_split_clause,[],[f8,f947,f429]) ).

fof(f429,plain,
    ( spl0_49
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f8,plain,
    ( c0_1(a460)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

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

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

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

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

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

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

fof(f945,plain,
    ( ~ spl0_49
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f9,f942,f429]) ).

fof(f9,plain,
    ( ~ c2_1(a460)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f940,plain,
    ( ~ spl0_49
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f10,f937,f429]) ).

fof(f10,plain,
    ( ~ c3_1(a460)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f934,plain,
    ( ~ spl0_33
    | spl0_144 ),
    inference(avatar_split_clause,[],[f12,f931,f354]) ).

fof(f354,plain,
    ( spl0_33
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f12,plain,
    ( c2_1(a463)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f929,plain,
    ( ~ spl0_33
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f13,f926,f354]) ).

fof(f13,plain,
    ( ~ c0_1(a463)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f924,plain,
    ( ~ spl0_33
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f14,f921,f354]) ).

fof(f14,plain,
    ( ~ c1_1(a463)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f918,plain,
    ( ~ spl0_24
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f16,f915,f318]) ).

fof(f318,plain,
    ( spl0_24
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f16,plain,
    ( ~ c0_1(a465)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f913,plain,
    ( ~ spl0_24
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f17,f910,f318]) ).

fof(f17,plain,
    ( ~ c2_1(a465)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f908,plain,
    ( ~ spl0_24
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f18,f905,f318]) ).

fof(f18,plain,
    ( ~ c3_1(a465)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f902,plain,
    ( ~ spl0_31
    | spl0_138 ),
    inference(avatar_split_clause,[],[f20,f899,f346]) ).

fof(f346,plain,
    ( spl0_31
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f20,plain,
    ( c1_1(a466)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f897,plain,
    ( ~ spl0_31
    | spl0_137 ),
    inference(avatar_split_clause,[],[f21,f894,f346]) ).

fof(f21,plain,
    ( c3_1(a466)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f892,plain,
    ( ~ spl0_31
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f22,f889,f346]) ).

fof(f22,plain,
    ( ~ c0_1(a466)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f886,plain,
    ( ~ spl0_58
    | spl0_135 ),
    inference(avatar_split_clause,[],[f24,f883,f467]) ).

fof(f467,plain,
    ( spl0_58
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f24,plain,
    ( c3_1(a467)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f881,plain,
    ( ~ spl0_58
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f25,f878,f467]) ).

fof(f25,plain,
    ( ~ c0_1(a467)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f876,plain,
    ( ~ spl0_58
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f26,f873,f467]) ).

fof(f26,plain,
    ( ~ c1_1(a467)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f871,plain,
    ( ~ spl0_7
    | spl0_19 ),
    inference(avatar_split_clause,[],[f27,f299,f245]) ).

fof(f245,plain,
    ( spl0_7
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f299,plain,
    ( spl0_19
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f27,plain,
    ( ndr1_0
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f870,plain,
    ( ~ spl0_7
    | spl0_132 ),
    inference(avatar_split_clause,[],[f28,f867,f245]) ).

fof(f28,plain,
    ( c0_1(a468)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f865,plain,
    ( ~ spl0_7
    | spl0_131 ),
    inference(avatar_split_clause,[],[f29,f862,f245]) ).

fof(f29,plain,
    ( c3_1(a468)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f860,plain,
    ( ~ spl0_7
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f30,f857,f245]) ).

fof(f30,plain,
    ( ~ c2_1(a468)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f854,plain,
    ( ~ spl0_2
    | spl0_129 ),
    inference(avatar_split_clause,[],[f32,f851,f223]) ).

fof(f223,plain,
    ( spl0_2
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f32,plain,
    ( c2_1(a471)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f849,plain,
    ( ~ spl0_2
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f33,f846,f223]) ).

fof(f33,plain,
    ( ~ c1_1(a471)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f844,plain,
    ( ~ spl0_2
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f34,f841,f223]) ).

fof(f34,plain,
    ( ~ c3_1(a471)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f838,plain,
    ( ~ spl0_27
    | spl0_126 ),
    inference(avatar_split_clause,[],[f36,f835,f331]) ).

fof(f331,plain,
    ( spl0_27
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f36,plain,
    ( c3_1(a474)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f833,plain,
    ( ~ spl0_27
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f37,f830,f331]) ).

fof(f37,plain,
    ( ~ c1_1(a474)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f828,plain,
    ( ~ spl0_27
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f38,f825,f331]) ).

fof(f38,plain,
    ( ~ c2_1(a474)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f806,plain,
    ( ~ spl0_11
    | spl0_120 ),
    inference(avatar_split_clause,[],[f44,f803,f263]) ).

fof(f263,plain,
    ( spl0_11
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f44,plain,
    ( c0_1(a476)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f801,plain,
    ( ~ spl0_11
    | spl0_119 ),
    inference(avatar_split_clause,[],[f45,f798,f263]) ).

fof(f45,plain,
    ( c2_1(a476)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f796,plain,
    ( ~ spl0_11
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f46,f793,f263]) ).

fof(f46,plain,
    ( ~ c1_1(a476)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f775,plain,
    ( ~ spl0_8
    | spl0_19 ),
    inference(avatar_split_clause,[],[f51,f299,f249]) ).

fof(f249,plain,
    ( spl0_8
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f51,plain,
    ( ndr1_0
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f774,plain,
    ( ~ spl0_8
    | spl0_114 ),
    inference(avatar_split_clause,[],[f52,f771,f249]) ).

fof(f52,plain,
    ( c2_1(a478)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f769,plain,
    ( ~ spl0_8
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f53,f766,f249]) ).

fof(f53,plain,
    ( ~ c0_1(a478)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f764,plain,
    ( ~ spl0_8
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f54,f761,f249]) ).

fof(f54,plain,
    ( ~ c3_1(a478)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f758,plain,
    ( ~ spl0_3
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f56,f755,f227]) ).

fof(f227,plain,
    ( spl0_3
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f56,plain,
    ( ~ c0_1(a480)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f753,plain,
    ( ~ spl0_3
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f57,f750,f227]) ).

fof(f57,plain,
    ( ~ c1_1(a480)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f748,plain,
    ( ~ spl0_3
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f58,f745,f227]) ).

fof(f58,plain,
    ( ~ c2_1(a480)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f726,plain,
    ( ~ spl0_14
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f64,f723,f276]) ).

fof(f276,plain,
    ( spl0_14
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f64,plain,
    ( ~ c1_1(a488)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f721,plain,
    ( ~ spl0_14
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f65,f718,f276]) ).

fof(f65,plain,
    ( ~ c2_1(a488)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f716,plain,
    ( ~ spl0_14
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f66,f713,f276]) ).

fof(f66,plain,
    ( ~ c3_1(a488)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f710,plain,
    ( ~ spl0_5
    | spl0_102 ),
    inference(avatar_split_clause,[],[f68,f707,f236]) ).

fof(f236,plain,
    ( spl0_5
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f68,plain,
    ( c1_1(a492)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f705,plain,
    ( ~ spl0_5
    | spl0_101 ),
    inference(avatar_split_clause,[],[f69,f702,f236]) ).

fof(f69,plain,
    ( c3_1(a492)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f700,plain,
    ( ~ spl0_5
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f70,f697,f236]) ).

fof(f70,plain,
    ( ~ c2_1(a492)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f678,plain,
    ( ~ spl0_18
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f76,f675,f294]) ).

fof(f294,plain,
    ( spl0_18
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f76,plain,
    ( ~ c0_1(a494)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f673,plain,
    ( ~ spl0_18
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f77,f670,f294]) ).

fof(f77,plain,
    ( ~ c1_1(a494)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f668,plain,
    ( ~ spl0_18
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f78,f665,f294]) ).

fof(f78,plain,
    ( ~ c3_1(a494)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f646,plain,
    ( ~ spl0_38
    | spl0_90 ),
    inference(avatar_split_clause,[],[f84,f643,f375]) ).

fof(f375,plain,
    ( spl0_38
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f84,plain,
    ( c2_1(a502)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f641,plain,
    ( ~ spl0_38
    | spl0_89 ),
    inference(avatar_split_clause,[],[f85,f638,f375]) ).

fof(f85,plain,
    ( c3_1(a502)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f636,plain,
    ( ~ spl0_38
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f86,f633,f375]) ).

fof(f86,plain,
    ( ~ c0_1(a502)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f631,plain,
    ( ~ spl0_1
    | spl0_19 ),
    inference(avatar_split_clause,[],[f87,f299,f219]) ).

fof(f219,plain,
    ( spl0_1
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f87,plain,
    ( ndr1_0
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f630,plain,
    ( ~ spl0_1
    | spl0_87 ),
    inference(avatar_split_clause,[],[f88,f627,f219]) ).

fof(f88,plain,
    ( c2_1(a503)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f625,plain,
    ( ~ spl0_1
    | spl0_86 ),
    inference(avatar_split_clause,[],[f89,f622,f219]) ).

fof(f89,plain,
    ( c3_1(a503)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f620,plain,
    ( ~ spl0_1
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f90,f617,f219]) ).

fof(f90,plain,
    ( ~ c1_1(a503)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f614,plain,
    ( ~ spl0_9
    | spl0_84 ),
    inference(avatar_split_clause,[],[f92,f611,f254]) ).

fof(f254,plain,
    ( spl0_9
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f92,plain,
    ( c0_1(a512)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f609,plain,
    ( ~ spl0_9
    | spl0_83 ),
    inference(avatar_split_clause,[],[f93,f606,f254]) ).

fof(f93,plain,
    ( c3_1(a512)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f604,plain,
    ( ~ spl0_9
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f94,f601,f254]) ).

fof(f94,plain,
    ( ~ c1_1(a512)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f582,plain,
    ( ~ spl0_12
    | spl0_78 ),
    inference(avatar_split_clause,[],[f100,f579,f267]) ).

fof(f267,plain,
    ( spl0_12
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f100,plain,
    ( c0_1(a533)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f577,plain,
    ( ~ spl0_12
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f101,f574,f267]) ).

fof(f101,plain,
    ( ~ c1_1(a533)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f572,plain,
    ( ~ spl0_12
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f102,f569,f267]) ).

fof(f102,plain,
    ( ~ c3_1(a533)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f550,plain,
    ( ~ spl0_13
    | spl0_72 ),
    inference(avatar_split_clause,[],[f108,f547,f272]) ).

fof(f272,plain,
    ( spl0_13
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f108,plain,
    ( c0_1(a461)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f545,plain,
    ( ~ spl0_13
    | spl0_71 ),
    inference(avatar_split_clause,[],[f109,f542,f272]) ).

fof(f109,plain,
    ( c2_1(a461)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f540,plain,
    ( ~ spl0_13
    | spl0_70 ),
    inference(avatar_split_clause,[],[f110,f537,f272]) ).

fof(f110,plain,
    ( c3_1(a461)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f534,plain,
    ( ~ spl0_21
    | spl0_69 ),
    inference(avatar_split_clause,[],[f112,f531,f306]) ).

fof(f306,plain,
    ( spl0_21
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f112,plain,
    ( c1_1(a470)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f524,plain,
    ( ~ spl0_21
    | spl0_67 ),
    inference(avatar_split_clause,[],[f114,f521,f306]) ).

fof(f114,plain,
    ( c3_1(a470)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f518,plain,
    ( ~ spl0_16
    | spl0_66 ),
    inference(avatar_split_clause,[],[f116,f515,f286]) ).

fof(f286,plain,
    ( spl0_16
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f116,plain,
    ( c0_1(a473)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f513,plain,
    ( ~ spl0_16
    | spl0_65 ),
    inference(avatar_split_clause,[],[f117,f510,f286]) ).

fof(f117,plain,
    ( c1_1(a473)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f508,plain,
    ( ~ spl0_16
    | spl0_64 ),
    inference(avatar_split_clause,[],[f118,f505,f286]) ).

fof(f118,plain,
    ( c3_1(a473)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f487,plain,
    ( spl0_60
    | ~ spl0_19
    | spl0_55
    | spl0_49 ),
    inference(avatar_split_clause,[],[f183,f429,f456,f299,f481]) ).

fof(f183,plain,
    ! [X91,X92] :
      ( hskp0
      | ~ c2_1(X91)
      | c1_1(X91)
      | c0_1(X91)
      | ~ ndr1_0
      | c2_1(X92)
      | c1_1(X92)
      | c0_1(X92) ),
    inference(duplicate_literal_removal,[],[f123]) ).

fof(f123,plain,
    ! [X91,X92] :
      ( hskp0
      | ~ c2_1(X91)
      | c1_1(X91)
      | c0_1(X91)
      | ~ ndr1_0
      | c2_1(X92)
      | c1_1(X92)
      | c0_1(X92)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f486,plain,
    ( spl0_60
    | spl0_45
    | ~ spl0_19
    | spl0_29 ),
    inference(avatar_split_clause,[],[f184,f340,f299,f409,f481]) ).

fof(f184,plain,
    ! [X90,X88,X89] :
      ( ~ c0_1(X88)
      | c3_1(X88)
      | c2_1(X88)
      | ~ ndr1_0
      | ~ c3_1(X89)
      | ~ c1_1(X89)
      | c0_1(X89)
      | c2_1(X90)
      | c1_1(X90)
      | c0_1(X90) ),
    inference(duplicate_literal_removal,[],[f124]) ).

fof(f124,plain,
    ! [X90,X88,X89] :
      ( ~ c0_1(X88)
      | c3_1(X88)
      | c2_1(X88)
      | ~ ndr1_0
      | ~ c3_1(X89)
      | ~ c1_1(X89)
      | c0_1(X89)
      | ~ ndr1_0
      | c2_1(X90)
      | c1_1(X90)
      | c0_1(X90)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f485,plain,
    ( spl0_60
    | ~ spl0_19
    | spl0_39
    | spl0_13 ),
    inference(avatar_split_clause,[],[f185,f272,f380,f299,f481]) ).

fof(f185,plain,
    ! [X86,X87] :
      ( hskp25
      | ~ c0_1(X86)
      | c3_1(X86)
      | c1_1(X86)
      | ~ ndr1_0
      | c2_1(X87)
      | c1_1(X87)
      | c0_1(X87) ),
    inference(duplicate_literal_removal,[],[f125]) ).

fof(f125,plain,
    ! [X86,X87] :
      ( hskp25
      | ~ c0_1(X86)
      | c3_1(X86)
      | c1_1(X86)
      | ~ ndr1_0
      | c2_1(X87)
      | c1_1(X87)
      | c0_1(X87)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f483,plain,
    ( ~ spl0_19
    | spl0_60
    | spl0_49
    | spl0_33 ),
    inference(avatar_split_clause,[],[f127,f354,f429,f481,f299]) ).

fof(f127,plain,
    ! [X82] :
      ( hskp1
      | hskp0
      | c2_1(X82)
      | c1_1(X82)
      | c0_1(X82)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f478,plain,
    ( spl0_56
    | ~ spl0_19
    | spl0_46
    | spl0_24 ),
    inference(avatar_split_clause,[],[f188,f318,f415,f299,f461]) ).

fof(f188,plain,
    ! [X78,X79] :
      ( hskp2
      | ~ c2_1(X78)
      | ~ c1_1(X78)
      | c0_1(X78)
      | ~ ndr1_0
      | c3_1(X79)
      | c1_1(X79)
      | c0_1(X79) ),
    inference(duplicate_literal_removal,[],[f129]) ).

fof(f129,plain,
    ! [X78,X79] :
      ( hskp2
      | ~ c2_1(X78)
      | ~ c1_1(X78)
      | c0_1(X78)
      | ~ ndr1_0
      | c3_1(X79)
      | c1_1(X79)
      | c0_1(X79)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f477,plain,
    ( spl0_56
    | ~ spl0_19
    | spl0_45
    | spl0_31 ),
    inference(avatar_split_clause,[],[f189,f346,f409,f299,f461]) ).

fof(f189,plain,
    ! [X76,X77] :
      ( hskp3
      | ~ c3_1(X76)
      | ~ c1_1(X76)
      | c0_1(X76)
      | ~ ndr1_0
      | c3_1(X77)
      | c1_1(X77)
      | c0_1(X77) ),
    inference(duplicate_literal_removal,[],[f130]) ).

fof(f130,plain,
    ! [X76,X77] :
      ( hskp3
      | ~ c3_1(X76)
      | ~ c1_1(X76)
      | c0_1(X76)
      | ~ ndr1_0
      | c3_1(X77)
      | c1_1(X77)
      | c0_1(X77)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f472,plain,
    ( spl0_56
    | ~ spl0_19
    | spl0_22
    | spl0_58 ),
    inference(avatar_split_clause,[],[f191,f467,f311,f299,f461]) ).

fof(f191,plain,
    ! [X72,X71] :
      ( hskp4
      | ~ c3_1(X71)
      | ~ c1_1(X71)
      | c2_1(X71)
      | ~ ndr1_0
      | c3_1(X72)
      | c1_1(X72)
      | c0_1(X72) ),
    inference(duplicate_literal_removal,[],[f132]) ).

fof(f132,plain,
    ! [X72,X71] :
      ( hskp4
      | ~ c3_1(X71)
      | ~ c1_1(X71)
      | c2_1(X71)
      | ~ ndr1_0
      | c3_1(X72)
      | c1_1(X72)
      | c0_1(X72)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f459,plain,
    ( spl0_55
    | ~ spl0_19
    | spl0_36
    | spl0_21 ),
    inference(avatar_split_clause,[],[f194,f306,f366,f299,f456]) ).

fof(f194,plain,
    ! [X65,X66] :
      ( hskp26
      | ~ c3_1(X65)
      | ~ c2_1(X65)
      | ~ c0_1(X65)
      | ~ ndr1_0
      | ~ c2_1(X66)
      | c1_1(X66)
      | c0_1(X66) ),
    inference(duplicate_literal_removal,[],[f135]) ).

fof(f135,plain,
    ! [X65,X66] :
      ( hskp26
      | ~ c3_1(X65)
      | ~ c2_1(X65)
      | ~ c0_1(X65)
      | ~ ndr1_0
      | ~ c2_1(X66)
      | c1_1(X66)
      | c0_1(X66)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f458,plain,
    ( ~ spl0_19
    | spl0_55
    | spl0_2
    | spl0_24 ),
    inference(avatar_split_clause,[],[f136,f318,f223,f456,f299]) ).

fof(f136,plain,
    ! [X64] :
      ( hskp2
      | hskp6
      | ~ c2_1(X64)
      | c1_1(X64)
      | c0_1(X64)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f454,plain,
    ( spl0_54
    | ~ spl0_19
    | spl0_42
    | spl0_16 ),
    inference(avatar_split_clause,[],[f195,f286,f394,f299,f451]) ).

fof(f195,plain,
    ! [X62,X63] :
      ( hskp27
      | c3_1(X62)
      | c2_1(X62)
      | c1_1(X62)
      | ~ ndr1_0
      | c3_1(X63)
      | c2_1(X63)
      | c0_1(X63) ),
    inference(duplicate_literal_removal,[],[f137]) ).

fof(f137,plain,
    ! [X62,X63] :
      ( hskp27
      | c3_1(X62)
      | c2_1(X62)
      | c1_1(X62)
      | ~ ndr1_0
      | c3_1(X63)
      | c2_1(X63)
      | c0_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f453,plain,
    ( spl0_54
    | ~ spl0_19
    | spl0_29
    | spl0_27 ),
    inference(avatar_split_clause,[],[f196,f331,f340,f299,f451]) ).

fof(f196,plain,
    ! [X60,X61] :
      ( hskp7
      | ~ c0_1(X60)
      | c3_1(X60)
      | c2_1(X60)
      | ~ ndr1_0
      | c3_1(X61)
      | c2_1(X61)
      | c0_1(X61) ),
    inference(duplicate_literal_removal,[],[f138]) ).

fof(f138,plain,
    ! [X60,X61] :
      ( hskp7
      | ~ c0_1(X60)
      | c3_1(X60)
      | c2_1(X60)
      | ~ ndr1_0
      | c3_1(X61)
      | c2_1(X61)
      | c0_1(X61)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f449,plain,
    ( spl0_52
    | spl0_45
    | ~ spl0_19
    | spl0_44 ),
    inference(avatar_split_clause,[],[f197,f403,f299,f409,f443]) ).

fof(f197,plain,
    ! [X58,X59,X57] :
      ( ~ c3_1(X57)
      | ~ c2_1(X57)
      | c0_1(X57)
      | ~ ndr1_0
      | ~ c3_1(X58)
      | ~ c1_1(X58)
      | c0_1(X58)
      | ~ c1_1(X59)
      | c2_1(X59)
      | c0_1(X59) ),
    inference(duplicate_literal_removal,[],[f139]) ).

fof(f139,plain,
    ! [X58,X59,X57] :
      ( ~ c3_1(X57)
      | ~ c2_1(X57)
      | c0_1(X57)
      | ~ ndr1_0
      | ~ c3_1(X58)
      | ~ c1_1(X58)
      | c0_1(X58)
      | ~ ndr1_0
      | ~ c1_1(X59)
      | c2_1(X59)
      | c0_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f441,plain,
    ( spl0_51
    | ~ spl0_19
    | spl0_44
    | spl0_11 ),
    inference(avatar_split_clause,[],[f199,f263,f403,f299,f438]) ).

fof(f199,plain,
    ! [X54,X53] :
      ( hskp9
      | ~ c3_1(X53)
      | ~ c2_1(X53)
      | c0_1(X53)
      | ~ ndr1_0
      | ~ c3_1(X54)
      | c2_1(X54)
      | c0_1(X54) ),
    inference(duplicate_literal_removal,[],[f141]) ).

fof(f141,plain,
    ! [X54,X53] :
      ( hskp9
      | ~ c3_1(X53)
      | ~ c2_1(X53)
      | c0_1(X53)
      | ~ ndr1_0
      | ~ c3_1(X54)
      | c2_1(X54)
      | c0_1(X54)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f432,plain,
    ( ~ spl0_19
    | spl0_48
    | spl0_49
    | spl0_3 ),
    inference(avatar_split_clause,[],[f144,f227,f429,f426,f299]) ).

fof(f144,plain,
    ! [X48] :
      ( hskp12
      | hskp0
      | ~ c2_1(X48)
      | c3_1(X48)
      | c0_1(X48)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f411,plain,
    ( spl0_45
    | ~ spl0_19
    | spl0_36
    | spl0_14 ),
    inference(avatar_split_clause,[],[f207,f276,f366,f299,f409]) ).

fof(f207,plain,
    ! [X36,X35] :
      ( hskp14
      | ~ c3_1(X35)
      | ~ c2_1(X35)
      | ~ c0_1(X35)
      | ~ ndr1_0
      | ~ c3_1(X36)
      | ~ c1_1(X36)
      | c0_1(X36) ),
    inference(duplicate_literal_removal,[],[f151]) ).

fof(f151,plain,
    ! [X36,X35] :
      ( hskp14
      | ~ c3_1(X35)
      | ~ c2_1(X35)
      | ~ c0_1(X35)
      | ~ ndr1_0
      | ~ c3_1(X36)
      | ~ c1_1(X36)
      | c0_1(X36)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f407,plain,
    ( spl0_44
    | spl0_42
    | ~ spl0_19
    | spl0_30 ),
    inference(avatar_split_clause,[],[f208,f343,f299,f394,f403]) ).

fof(f208,plain,
    ! [X34,X32,X33] :
      ( ~ c3_1(X32)
      | ~ c1_1(X32)
      | ~ c0_1(X32)
      | ~ ndr1_0
      | c3_1(X33)
      | c2_1(X33)
      | c1_1(X33)
      | ~ c3_1(X34)
      | ~ c2_1(X34)
      | c0_1(X34) ),
    inference(duplicate_literal_removal,[],[f152]) ).

fof(f152,plain,
    ! [X34,X32,X33] :
      ( ~ c3_1(X32)
      | ~ c1_1(X32)
      | ~ c0_1(X32)
      | ~ ndr1_0
      | c3_1(X33)
      | c2_1(X33)
      | c1_1(X33)
      | ~ ndr1_0
      | ~ c3_1(X34)
      | ~ c2_1(X34)
      | c0_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f406,plain,
    ( spl0_44
    | spl0_37
    | ~ spl0_19
    | spl0_23 ),
    inference(avatar_split_clause,[],[f209,f315,f299,f371,f403]) ).

fof(f209,plain,
    ! [X31,X29,X30] :
      ( ~ c1_1(X29)
      | ~ c0_1(X29)
      | c2_1(X29)
      | ~ ndr1_0
      | ~ c2_1(X30)
      | c3_1(X30)
      | c1_1(X30)
      | ~ c3_1(X31)
      | ~ c2_1(X31)
      | c0_1(X31) ),
    inference(duplicate_literal_removal,[],[f153]) ).

fof(f153,plain,
    ! [X31,X29,X30] :
      ( ~ c1_1(X29)
      | ~ c0_1(X29)
      | c2_1(X29)
      | ~ ndr1_0
      | ~ c2_1(X30)
      | c3_1(X30)
      | c1_1(X30)
      | ~ ndr1_0
      | ~ c3_1(X31)
      | ~ c2_1(X31)
      | c0_1(X31)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f396,plain,
    ( ~ spl0_19
    | spl0_42
    | spl0_31
    | spl0_5 ),
    inference(avatar_split_clause,[],[f156,f236,f346,f394,f299]) ).

fof(f156,plain,
    ! [X24] :
      ( hskp15
      | hskp3
      | c3_1(X24)
      | c2_1(X24)
      | c1_1(X24)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f384,plain,
    ( spl0_39
    | ~ spl0_19
    | spl0_29
    | spl0_3 ),
    inference(avatar_split_clause,[],[f212,f227,f340,f299,f380]) ).

fof(f212,plain,
    ! [X21,X20] :
      ( hskp12
      | ~ c0_1(X20)
      | c3_1(X20)
      | c2_1(X20)
      | ~ ndr1_0
      | ~ c0_1(X21)
      | c3_1(X21)
      | c1_1(X21) ),
    inference(duplicate_literal_removal,[],[f159]) ).

fof(f159,plain,
    ! [X21,X20] :
      ( hskp12
      | ~ c0_1(X20)
      | c3_1(X20)
      | c2_1(X20)
      | ~ ndr1_0
      | ~ c0_1(X21)
      | c3_1(X21)
      | c1_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f378,plain,
    ( ~ spl0_19
    | spl0_37
    | spl0_38
    | spl0_1 ),
    inference(avatar_split_clause,[],[f162,f219,f375,f371,f299]) ).

fof(f162,plain,
    ! [X17] :
      ( hskp20
      | hskp19
      | ~ c2_1(X17)
      | c3_1(X17)
      | c1_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f373,plain,
    ( ~ spl0_19
    | spl0_37
    | spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f163,f276,f227,f371,f299]) ).

fof(f163,plain,
    ! [X16] :
      ( hskp14
      | hskp12
      | ~ c2_1(X16)
      | c3_1(X16)
      | c1_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f368,plain,
    ( spl0_35
    | ~ spl0_19
    | spl0_36
    | spl0_18 ),
    inference(avatar_split_clause,[],[f214,f294,f366,f299,f363]) ).

fof(f214,plain,
    ! [X12,X13] :
      ( hskp17
      | ~ c3_1(X12)
      | ~ c2_1(X12)
      | ~ c0_1(X12)
      | ~ ndr1_0
      | ~ c2_1(X13)
      | ~ c0_1(X13)
      | c1_1(X13) ),
    inference(duplicate_literal_removal,[],[f165]) ).

fof(f165,plain,
    ! [X12,X13] :
      ( hskp17
      | ~ c3_1(X12)
      | ~ c2_1(X12)
      | ~ c0_1(X12)
      | ~ ndr1_0
      | ~ c2_1(X13)
      | ~ c0_1(X13)
      | c1_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f361,plain,
    ( ~ spl0_19
    | spl0_34
    | spl0_31
    | spl0_3 ),
    inference(avatar_split_clause,[],[f166,f227,f346,f359,f299]) ).

fof(f166,plain,
    ! [X11] :
      ( hskp12
      | hskp3
      | ~ c3_1(X11)
      | ~ c0_1(X11)
      | c1_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f349,plain,
    ( spl0_29
    | ~ spl0_19
    | spl0_30
    | spl0_31 ),
    inference(avatar_split_clause,[],[f216,f346,f343,f299,f340]) ).

fof(f216,plain,
    ! [X8,X7] :
      ( hskp3
      | ~ c3_1(X7)
      | ~ c1_1(X7)
      | ~ c0_1(X7)
      | ~ ndr1_0
      | ~ c0_1(X8)
      | c3_1(X8)
      | c2_1(X8) ),
    inference(duplicate_literal_removal,[],[f168]) ).

fof(f168,plain,
    ! [X8,X7] :
      ( hskp3
      | ~ c3_1(X7)
      | ~ c1_1(X7)
      | ~ c0_1(X7)
      | ~ ndr1_0
      | ~ c0_1(X8)
      | c3_1(X8)
      | c2_1(X8)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f338,plain,
    ( spl0_26
    | ~ spl0_19
    | spl0_28
    | spl0_9 ),
    inference(avatar_split_clause,[],[f217,f254,f336,f299,f328]) ).

fof(f217,plain,
    ! [X6,X5] :
      ( hskp21
      | ~ c3_1(X5)
      | ~ c0_1(X5)
      | c2_1(X5)
      | ~ ndr1_0
      | ~ c1_1(X6)
      | c3_1(X6)
      | c2_1(X6) ),
    inference(duplicate_literal_removal,[],[f169]) ).

fof(f169,plain,
    ! [X6,X5] :
      ( hskp21
      | ~ c3_1(X5)
      | ~ c0_1(X5)
      | c2_1(X5)
      | ~ ndr1_0
      | ~ c1_1(X6)
      | c3_1(X6)
      | c2_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f334,plain,
    ( ~ spl0_19
    | spl0_26
    | spl0_8
    | spl0_27 ),
    inference(avatar_split_clause,[],[f170,f331,f249,f328,f299]) ).

fof(f170,plain,
    ! [X4] :
      ( hskp7
      | hskp11
      | ~ c1_1(X4)
      | c3_1(X4)
      | c2_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f321,plain,
    ( ~ spl0_19
    | spl0_23
    | spl0_5
    | spl0_24 ),
    inference(avatar_split_clause,[],[f172,f318,f236,f315,f299]) ).

fof(f172,plain,
    ! [X2] :
      ( hskp2
      | hskp15
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | c2_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f279,plain,
    ( spl0_13
    | spl0_7
    | spl0_14 ),
    inference(avatar_split_clause,[],[f177,f276,f245,f272]) ).

fof(f177,plain,
    ( hskp14
    | hskp5
    | hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f270,plain,
    ( spl0_11
    | spl0_12
    | spl0_1 ),
    inference(avatar_split_clause,[],[f178,f219,f267,f263]) ).

fof(f178,plain,
    ( hskp20
    | hskp23
    | hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f252,plain,
    ( spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f180,f249,f245]) ).

fof(f180,plain,
    ( hskp11
    | hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f230,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f182,f227,f223,f219]) ).

fof(f182,plain,
    ( hskp12
    | hskp6
    | hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SYN448+1 : TPTP v8.1.2. Released v2.1.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n007.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   : Fri May  3 17:23:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (31078)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (31082)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  % (31084)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)
% 0.15/0.38  % (31083)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (31085)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38  % (31086)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38  % (31088)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)
% 0.15/0.38  % (31087)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.39  Detected minimum model sizes of [1]
% 0.15/0.39  Detected maximum model sizes of [29]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  Detected minimum model sizes of [1]
% 0.15/0.39  Detected maximum model sizes of [29]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  Detected minimum model sizes of [1]
% 0.15/0.39  Detected maximum model sizes of [29]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  Detected minimum model sizes of [1]
% 0.15/0.39  Detected maximum model sizes of [29]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [4]
% 0.15/0.40  TRYING [3]
% 0.15/0.40  TRYING [4]
% 0.15/0.40  TRYING [4]
% 0.15/0.40  TRYING [4]
% 0.15/0.40  TRYING [5]
% 0.15/0.41  TRYING [5]
% 0.15/0.41  TRYING [5]
% 0.15/0.41  TRYING [5]
% 0.22/0.43  TRYING [6]
% 0.22/0.43  % (31087)First to succeed.
% 0.22/0.44  TRYING [6]
% 0.22/0.44  TRYING [6]
% 0.22/0.44  % (31087)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31078"
% 0.22/0.44  % (31087)Refutation found. Thanks to Tanya!
% 0.22/0.44  % SZS status Theorem for theBenchmark
% 0.22/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.45  % (31087)------------------------------
% 0.22/0.45  % (31087)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.45  % (31087)Termination reason: Refutation
% 0.22/0.45  
% 0.22/0.45  % (31087)Memory used [KB]: 2080
% 0.22/0.45  % (31087)Time elapsed: 0.060 s
% 0.22/0.45  % (31087)Instructions burned: 100 (million)
% 0.22/0.45  % (31078)Success in time 0.082 s
%------------------------------------------------------------------------------