TSTP Solution File: SYN480+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN480+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 : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 12:10:50 EDT 2024

% Result   : Theorem 0.14s 0.40s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  118
% Syntax   : Number of formulae    :  666 (   1 unt;   0 def)
%            Number of atoms       : 6965 (   0 equ)
%            Maximal formula atoms :  765 (  10 avg)
%            Number of connectives : 9634 (3335   ~;4460   |;1218   &)
%                                         ( 117 <=>; 504  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  114 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  155 ( 154 usr; 151 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  946 ( 946   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2760,plain,
    $false,
    inference(avatar_sat_refutation,[],[f291,f300,f318,f323,f352,f356,f364,f365,f369,f370,f378,f387,f397,f418,f422,f423,f435,f438,f439,f440,f441,f458,f473,f478,f490,f491,f495,f496,f497,f503,f514,f518,f520,f524,f532,f536,f542,f548,f565,f575,f581,f586,f591,f613,f618,f623,f645,f650,f655,f677,f682,f687,f693,f698,f703,f725,f730,f735,f741,f746,f751,f757,f762,f767,f805,f810,f815,f821,f826,f831,f837,f842,f847,f858,f863,f869,f874,f879,f880,f885,f890,f895,f901,f906,f911,f912,f938,f943,f954,f959,f965,f970,f975,f976,f981,f986,f991,f992,f997,f1002,f1007,f1013,f1018,f1023,f1024,f1045,f1050,f1055,f1056,f1129,f1138,f1144,f1159,f1257,f1259,f1300,f1331,f1346,f1350,f1374,f1379,f1397,f1469,f1496,f1511,f1517,f1557,f1586,f1608,f1613,f1625,f1629,f1637,f1668,f1670,f1736,f1755,f1765,f1791,f1868,f1869,f1876,f1891,f1949,f1966,f2032,f2051,f2083,f2151,f2195,f2210,f2226,f2228,f2232,f2270,f2335,f2369,f2390,f2417,f2453,f2516,f2595,f2613,f2630,f2640,f2674,f2753]) ).

fof(f2753,plain,
    ( ~ spl0_20
    | ~ spl0_38
    | ~ spl0_39
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(avatar_contradiction_clause,[],[f2752]) ).

fof(f2752,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_38
    | ~ spl0_39
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f2746,f846]) ).

fof(f846,plain,
    ( c0_1(a1558)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f844,plain,
    ( spl0_119
  <=> c0_1(a1558) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f2746,plain,
    ( ~ c0_1(a1558)
    | ~ spl0_20
    | ~ spl0_38
    | ~ spl0_39
    | ~ spl0_118 ),
    inference(resolution,[],[f2741,f841]) ).

fof(f841,plain,
    ( c1_1(a1558)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f839,plain,
    ( spl0_118
  <=> c1_1(a1558) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f2741,plain,
    ( ! [X28] :
        ( ~ c1_1(X28)
        | ~ c0_1(X28) )
    | ~ spl0_20
    | ~ spl0_38
    | ~ spl0_39 ),
    inference(subsumption_resolution,[],[f426,f2684]) ).

fof(f2684,plain,
    ( ! [X24] :
        ( ~ c2_1(X24)
        | ~ c1_1(X24) )
    | ~ spl0_20
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f421,f343]) ).

fof(f343,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f342,plain,
    ( spl0_20
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f421,plain,
    ( ! [X24] :
        ( ~ c2_1(X24)
        | c3_1(X24)
        | ~ c1_1(X24) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f420,plain,
    ( spl0_38
  <=> ! [X24] :
        ( ~ c2_1(X24)
        | c3_1(X24)
        | ~ c1_1(X24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f426,plain,
    ( ! [X28] :
        ( c2_1(X28)
        | ~ c1_1(X28)
        | ~ c0_1(X28) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f425,plain,
    ( spl0_39
  <=> ! [X28] :
        ( ~ c1_1(X28)
        | c2_1(X28)
        | ~ c0_1(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f2674,plain,
    ( ~ spl0_24
    | ~ spl0_40
    | spl0_156
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f2673]) ).

fof(f2673,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_40
    | spl0_156
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f2672,f1054]) ).

fof(f1054,plain,
    ( c0_1(a1534)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1052]) ).

fof(f1052,plain,
    ( spl0_158
  <=> c0_1(a1534) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f2672,plain,
    ( ~ c0_1(a1534)
    | ~ spl0_24
    | ~ spl0_40
    | spl0_156
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f2661,f1044]) ).

fof(f1044,plain,
    ( ~ c3_1(a1534)
    | spl0_156 ),
    inference(avatar_component_clause,[],[f1042]) ).

fof(f1042,plain,
    ( spl0_156
  <=> c3_1(a1534) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f2661,plain,
    ( c3_1(a1534)
    | ~ c0_1(a1534)
    | ~ spl0_24
    | ~ spl0_40
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(resolution,[],[f359,f2175]) ).

fof(f2175,plain,
    ( c1_1(a1534)
    | ~ spl0_40
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f2164,f1049]) ).

fof(f1049,plain,
    ( c2_1(a1534)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1047]) ).

fof(f1047,plain,
    ( spl0_157
  <=> c2_1(a1534) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f2164,plain,
    ( c1_1(a1534)
    | ~ c2_1(a1534)
    | ~ spl0_40
    | ~ spl0_158 ),
    inference(resolution,[],[f430,f1054]) ).

fof(f430,plain,
    ( ! [X30] :
        ( ~ c0_1(X30)
        | c1_1(X30)
        | ~ c2_1(X30) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f429,plain,
    ( spl0_40
  <=> ! [X30] :
        ( ~ c2_1(X30)
        | c1_1(X30)
        | ~ c0_1(X30) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f359,plain,
    ( ! [X3] :
        ( ~ c1_1(X3)
        | c3_1(X3)
        | ~ c0_1(X3) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f358,plain,
    ( spl0_24
  <=> ! [X3] :
        ( ~ c1_1(X3)
        | c3_1(X3)
        | ~ c0_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f2640,plain,
    ( ~ spl0_36
    | ~ spl0_66
    | ~ spl0_68
    | spl0_167 ),
    inference(avatar_contradiction_clause,[],[f2639]) ).

fof(f2639,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_66
    | ~ spl0_68
    | spl0_167 ),
    inference(subsumption_resolution,[],[f2638,f574]) ).

fof(f574,plain,
    ( c0_1(a1562)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f572,plain,
    ( spl0_68
  <=> c0_1(a1562) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f2638,plain,
    ( ~ c0_1(a1562)
    | ~ spl0_36
    | ~ spl0_66
    | spl0_167 ),
    inference(subsumption_resolution,[],[f2625,f1635]) ).

fof(f1635,plain,
    ( ~ c1_1(a1562)
    | spl0_167 ),
    inference(avatar_component_clause,[],[f1633]) ).

fof(f1633,plain,
    ( spl0_167
  <=> c1_1(a1562) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f2625,plain,
    ( c1_1(a1562)
    | ~ c0_1(a1562)
    | ~ spl0_36
    | ~ spl0_66 ),
    inference(resolution,[],[f413,f564]) ).

fof(f564,plain,
    ( c3_1(a1562)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f562,plain,
    ( spl0_66
  <=> c3_1(a1562) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f413,plain,
    ( ! [X23] :
        ( ~ c3_1(X23)
        | c1_1(X23)
        | ~ c0_1(X23) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f412,plain,
    ( spl0_36
  <=> ! [X23] :
        ( ~ c3_1(X23)
        | c1_1(X23)
        | ~ c0_1(X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f2630,plain,
    ( ~ spl0_36
    | spl0_129
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f2629]) ).

fof(f2629,plain,
    ( $false
    | ~ spl0_36
    | spl0_129
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f2628,f910]) ).

fof(f910,plain,
    ( c0_1(a1549)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f908,plain,
    ( spl0_131
  <=> c0_1(a1549) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f2628,plain,
    ( ~ c0_1(a1549)
    | ~ spl0_36
    | spl0_129
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f2616,f900]) ).

fof(f900,plain,
    ( ~ c1_1(a1549)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f898]) ).

fof(f898,plain,
    ( spl0_129
  <=> c1_1(a1549) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2616,plain,
    ( c1_1(a1549)
    | ~ c0_1(a1549)
    | ~ spl0_36
    | ~ spl0_130 ),
    inference(resolution,[],[f413,f905]) ).

fof(f905,plain,
    ( c3_1(a1549)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f903,plain,
    ( spl0_130
  <=> c3_1(a1549) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f2613,plain,
    ( ~ spl0_20
    | ~ spl0_38
    | ~ spl0_40
    | ~ spl0_62
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f2600]) ).

fof(f2600,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_38
    | ~ spl0_40
    | ~ spl0_62
    | ~ spl0_157 ),
    inference(resolution,[],[f2599,f1049]) ).

fof(f2599,plain,
    ( ! [X24] : ~ c2_1(X24)
    | ~ spl0_20
    | ~ spl0_38
    | ~ spl0_40
    | ~ spl0_62 ),
    inference(subsumption_resolution,[],[f2598,f2521]) ).

fof(f2521,plain,
    ( ! [X110] :
        ( ~ c2_1(X110)
        | c1_1(X110) )
    | ~ spl0_40
    | ~ spl0_62 ),
    inference(subsumption_resolution,[],[f541,f430]) ).

fof(f541,plain,
    ( ! [X110] :
        ( ~ c2_1(X110)
        | c0_1(X110)
        | c1_1(X110) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f540,plain,
    ( spl0_62
  <=> ! [X110] :
        ( ~ c2_1(X110)
        | c0_1(X110)
        | c1_1(X110) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f2598,plain,
    ( ! [X24] :
        ( ~ c2_1(X24)
        | ~ c1_1(X24) )
    | ~ spl0_20
    | ~ spl0_38
    | ~ spl0_40
    | ~ spl0_62 ),
    inference(subsumption_resolution,[],[f421,f2543]) ).

fof(f2543,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_20
    | ~ spl0_40
    | ~ spl0_62 ),
    inference(subsumption_resolution,[],[f343,f2521]) ).

fof(f2595,plain,
    ( spl0_87
    | ~ spl0_29
    | spl0_88
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f2589,f684,f679,f381,f674]) ).

fof(f674,plain,
    ( spl0_87
  <=> c3_1(a1600) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f381,plain,
    ( spl0_29
  <=> ! [X14] :
        ( ~ c0_1(X14)
        | c2_1(X14)
        | c3_1(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f679,plain,
    ( spl0_88
  <=> c2_1(a1600) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f684,plain,
    ( spl0_89
  <=> c0_1(a1600) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f2589,plain,
    ( c3_1(a1600)
    | ~ spl0_29
    | spl0_88
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f2580,f681]) ).

fof(f681,plain,
    ( ~ c2_1(a1600)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f2580,plain,
    ( c2_1(a1600)
    | c3_1(a1600)
    | ~ spl0_29
    | ~ spl0_89 ),
    inference(resolution,[],[f382,f686]) ).

fof(f686,plain,
    ( c0_1(a1600)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f382,plain,
    ( ! [X14] :
        ( ~ c0_1(X14)
        | c2_1(X14)
        | c3_1(X14) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f2516,plain,
    ( ~ spl0_26
    | ~ spl0_27
    | spl0_117
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f2515]) ).

fof(f2515,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_27
    | spl0_117
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f2507,f836]) ).

fof(f836,plain,
    ( ~ c2_1(a1558)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f834]) ).

fof(f834,plain,
    ( spl0_117
  <=> c2_1(a1558) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2507,plain,
    ( c2_1(a1558)
    | ~ spl0_26
    | ~ spl0_27
    | ~ spl0_118 ),
    inference(resolution,[],[f2476,f841]) ).

fof(f2476,plain,
    ( ! [X11] :
        ( ~ c1_1(X11)
        | c2_1(X11) )
    | ~ spl0_26
    | ~ spl0_27 ),
    inference(subsumption_resolution,[],[f373,f368]) ).

fof(f368,plain,
    ( ! [X7] :
        ( ~ c3_1(X7)
        | c2_1(X7)
        | ~ c1_1(X7) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f367,plain,
    ( spl0_26
  <=> ! [X7] :
        ( ~ c3_1(X7)
        | c2_1(X7)
        | ~ c1_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f373,plain,
    ( ! [X11] :
        ( ~ c1_1(X11)
        | c2_1(X11)
        | c3_1(X11) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f372,plain,
    ( spl0_27
  <=> ! [X11] :
        ( ~ c1_1(X11)
        | c2_1(X11)
        | c3_1(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f2453,plain,
    ( ~ spl0_34
    | spl0_156
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f2452]) ).

fof(f2452,plain,
    ( $false
    | ~ spl0_34
    | spl0_156
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f2451,f1049]) ).

fof(f2451,plain,
    ( ~ c2_1(a1534)
    | ~ spl0_34
    | spl0_156
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f2441,f1044]) ).

fof(f2441,plain,
    ( c3_1(a1534)
    | ~ c2_1(a1534)
    | ~ spl0_34
    | ~ spl0_158 ),
    inference(resolution,[],[f405,f1054]) ).

fof(f405,plain,
    ( ! [X19] :
        ( ~ c0_1(X19)
        | c3_1(X19)
        | ~ c2_1(X19) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f404,plain,
    ( spl0_34
  <=> ! [X19] :
        ( ~ c2_1(X19)
        | c3_1(X19)
        | ~ c0_1(X19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f2417,plain,
    ( ~ spl0_22
    | ~ spl0_24
    | ~ spl0_40
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f2416]) ).

fof(f2416,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_24
    | ~ spl0_40
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f2407,f2175]) ).

fof(f2407,plain,
    ( ~ c1_1(a1534)
    | ~ spl0_22
    | ~ spl0_24
    | ~ spl0_158 ),
    inference(resolution,[],[f2398,f1054]) ).

fof(f2398,plain,
    ( ! [X3] :
        ( ~ c0_1(X3)
        | ~ c1_1(X3) )
    | ~ spl0_22
    | ~ spl0_24 ),
    inference(subsumption_resolution,[],[f359,f351]) ).

fof(f351,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f350,plain,
    ( spl0_22
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f2390,plain,
    ( ~ spl0_20
    | ~ spl0_26
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f2389]) ).

fof(f2389,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_26
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2388,f990]) ).

fof(f990,plain,
    ( c1_1(a1539)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f988]) ).

fof(f988,plain,
    ( spl0_146
  <=> c1_1(a1539) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f2388,plain,
    ( ~ c1_1(a1539)
    | ~ spl0_20
    | ~ spl0_26
    | ~ spl0_145 ),
    inference(resolution,[],[f2386,f985]) ).

fof(f985,plain,
    ( c3_1(a1539)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f983]) ).

fof(f983,plain,
    ( spl0_145
  <=> c3_1(a1539) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f2386,plain,
    ( ! [X7] :
        ( ~ c3_1(X7)
        | ~ c1_1(X7) )
    | ~ spl0_20
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f368,f343]) ).

fof(f2369,plain,
    ( ~ spl0_40
    | ~ spl0_48
    | ~ spl0_63
    | spl0_147
    | spl0_149 ),
    inference(avatar_contradiction_clause,[],[f2368]) ).

fof(f2368,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_48
    | ~ spl0_63
    | spl0_147
    | spl0_149 ),
    inference(subsumption_resolution,[],[f2342,f1006]) ).

fof(f1006,plain,
    ( ~ c1_1(a1538)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f1004]) ).

fof(f1004,plain,
    ( spl0_149
  <=> c1_1(a1538) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f2342,plain,
    ( c1_1(a1538)
    | ~ spl0_40
    | ~ spl0_48
    | ~ spl0_63
    | spl0_147 ),
    inference(resolution,[],[f2329,f996]) ).

fof(f996,plain,
    ( ~ c3_1(a1538)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f994]) ).

fof(f994,plain,
    ( spl0_147
  <=> c3_1(a1538) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f2329,plain,
    ( ! [X114] :
        ( c3_1(X114)
        | c1_1(X114) )
    | ~ spl0_40
    | ~ spl0_48
    | ~ spl0_63 ),
    inference(subsumption_resolution,[],[f546,f2240]) ).

fof(f2240,plain,
    ( ! [X51] :
        ( ~ c0_1(X51)
        | c1_1(X51) )
    | ~ spl0_40
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f468,f430]) ).

fof(f468,plain,
    ( ! [X51] :
        ( ~ c0_1(X51)
        | c1_1(X51)
        | c2_1(X51) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f467,plain,
    ( spl0_48
  <=> ! [X51] :
        ( ~ c0_1(X51)
        | c1_1(X51)
        | c2_1(X51) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f546,plain,
    ( ! [X114] :
        ( c3_1(X114)
        | c0_1(X114)
        | c1_1(X114) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f545,plain,
    ( spl0_63
  <=> ! [X114] :
        ( c3_1(X114)
        | c0_1(X114)
        | c1_1(X114) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f2335,plain,
    ( ~ spl0_112
    | ~ spl0_22
    | ~ spl0_36
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f2332,f1879,f412,f350,f807]) ).

fof(f807,plain,
    ( spl0_112
  <=> c3_1(a1566) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1879,plain,
    ( spl0_168
  <=> c0_1(a1566) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f2332,plain,
    ( ~ c3_1(a1566)
    | ~ spl0_22
    | ~ spl0_36
    | ~ spl0_168 ),
    inference(resolution,[],[f1881,f1886]) ).

fof(f1886,plain,
    ( ! [X23] :
        ( ~ c0_1(X23)
        | ~ c3_1(X23) )
    | ~ spl0_22
    | ~ spl0_36 ),
    inference(subsumption_resolution,[],[f413,f351]) ).

fof(f1881,plain,
    ( c0_1(a1566)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1879]) ).

fof(f2270,plain,
    ( ~ spl0_54
    | spl0_123
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f2269]) ).

fof(f2269,plain,
    ( $false
    | ~ spl0_54
    | spl0_123
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f2268,f873]) ).

fof(f873,plain,
    ( c2_1(a1554)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f871]) ).

fof(f871,plain,
    ( spl0_124
  <=> c2_1(a1554) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f2268,plain,
    ( ~ c2_1(a1554)
    | ~ spl0_54
    | spl0_123
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f2257,f868]) ).

fof(f868,plain,
    ( ~ c0_1(a1554)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f866,plain,
    ( spl0_123
  <=> c0_1(a1554) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f2257,plain,
    ( c0_1(a1554)
    | ~ c2_1(a1554)
    | ~ spl0_54
    | ~ spl0_125 ),
    inference(resolution,[],[f494,f878]) ).

fof(f878,plain,
    ( c1_1(a1554)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f876,plain,
    ( spl0_125
  <=> c1_1(a1554) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f494,plain,
    ( ! [X62] :
        ( ~ c1_1(X62)
        | c0_1(X62)
        | ~ c2_1(X62) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f493,plain,
    ( spl0_54
  <=> ! [X62] :
        ( ~ c2_1(X62)
        | c0_1(X62)
        | ~ c1_1(X62) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f2232,plain,
    ( spl0_111
    | ~ spl0_40
    | ~ spl0_113
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f2231,f1879,f812,f429,f802]) ).

fof(f802,plain,
    ( spl0_111
  <=> c1_1(a1566) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f812,plain,
    ( spl0_113
  <=> c2_1(a1566) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f2231,plain,
    ( c1_1(a1566)
    | ~ spl0_40
    | ~ spl0_113
    | ~ spl0_168 ),
    inference(subsumption_resolution,[],[f2169,f814]) ).

fof(f814,plain,
    ( c2_1(a1566)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f2169,plain,
    ( c1_1(a1566)
    | ~ c2_1(a1566)
    | ~ spl0_40
    | ~ spl0_168 ),
    inference(resolution,[],[f430,f1881]) ).

fof(f2228,plain,
    ( ~ spl0_40
    | ~ spl0_48
    | spl0_118
    | ~ spl0_119 ),
    inference(avatar_contradiction_clause,[],[f2227]) ).

fof(f2227,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_48
    | spl0_118
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f2220,f840]) ).

fof(f840,plain,
    ( ~ c1_1(a1558)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f2220,plain,
    ( c1_1(a1558)
    | ~ spl0_40
    | ~ spl0_48
    | ~ spl0_119 ),
    inference(resolution,[],[f2215,f846]) ).

fof(f2215,plain,
    ( ! [X51] :
        ( ~ c0_1(X51)
        | c1_1(X51) )
    | ~ spl0_40
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f468,f430]) ).

fof(f2226,plain,
    ( ~ spl0_40
    | ~ spl0_48
    | spl0_129
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f2225]) ).

fof(f2225,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_48
    | spl0_129
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f2218,f900]) ).

fof(f2218,plain,
    ( c1_1(a1549)
    | ~ spl0_40
    | ~ spl0_48
    | ~ spl0_131 ),
    inference(resolution,[],[f2215,f910]) ).

fof(f2210,plain,
    ( ~ spl0_39
    | ~ spl0_48
    | spl0_117
    | ~ spl0_119 ),
    inference(avatar_contradiction_clause,[],[f2209]) ).

fof(f2209,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_48
    | spl0_117
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f2204,f836]) ).

fof(f2204,plain,
    ( c2_1(a1558)
    | ~ spl0_39
    | ~ spl0_48
    | ~ spl0_119 ),
    inference(resolution,[],[f2198,f846]) ).

fof(f2198,plain,
    ( ! [X51] :
        ( ~ c0_1(X51)
        | c2_1(X51) )
    | ~ spl0_39
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f468,f426]) ).

fof(f2195,plain,
    ( spl0_126
    | ~ spl0_40
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2194,f892,f887,f429,f882]) ).

fof(f882,plain,
    ( spl0_126
  <=> c1_1(a1553) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f887,plain,
    ( spl0_127
  <=> c2_1(a1553) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f892,plain,
    ( spl0_128
  <=> c0_1(a1553) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f2194,plain,
    ( c1_1(a1553)
    | ~ spl0_40
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f2167,f889]) ).

fof(f889,plain,
    ( c2_1(a1553)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f2167,plain,
    ( c1_1(a1553)
    | ~ c2_1(a1553)
    | ~ spl0_40
    | ~ spl0_128 ),
    inference(resolution,[],[f430,f894]) ).

fof(f894,plain,
    ( c0_1(a1553)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f2151,plain,
    ( ~ spl0_22
    | ~ spl0_24
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f2150]) ).

fof(f2150,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_24
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f2140,f937]) ).

fof(f937,plain,
    ( c1_1(a1547)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f935,plain,
    ( spl0_136
  <=> c1_1(a1547) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f2140,plain,
    ( ~ c1_1(a1547)
    | ~ spl0_22
    | ~ spl0_24
    | ~ spl0_137 ),
    inference(resolution,[],[f2099,f942]) ).

fof(f942,plain,
    ( c0_1(a1547)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f940,plain,
    ( spl0_137
  <=> c0_1(a1547) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2099,plain,
    ( ! [X3] :
        ( ~ c0_1(X3)
        | ~ c1_1(X3) )
    | ~ spl0_22
    | ~ spl0_24 ),
    inference(subsumption_resolution,[],[f359,f351]) ).

fof(f2083,plain,
    ( ~ spl0_54
    | ~ spl0_62
    | spl0_139
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f2082]) ).

fof(f2082,plain,
    ( $false
    | ~ spl0_54
    | ~ spl0_62
    | spl0_139
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f2071,f953]) ).

fof(f953,plain,
    ( ~ c0_1(a1545)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f951,plain,
    ( spl0_139
  <=> c0_1(a1545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2071,plain,
    ( c0_1(a1545)
    | ~ spl0_54
    | ~ spl0_62
    | ~ spl0_140 ),
    inference(resolution,[],[f2003,f958]) ).

fof(f958,plain,
    ( c2_1(a1545)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f956,plain,
    ( spl0_140
  <=> c2_1(a1545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2003,plain,
    ( ! [X62] :
        ( ~ c2_1(X62)
        | c0_1(X62) )
    | ~ spl0_54
    | ~ spl0_62 ),
    inference(subsumption_resolution,[],[f494,f541]) ).

fof(f2051,plain,
    ( ~ spl0_22
    | ~ spl0_36
    | ~ spl0_57
    | spl0_99
    | ~ spl0_100 ),
    inference(avatar_contradiction_clause,[],[f2050]) ).

fof(f2050,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_36
    | ~ spl0_57
    | spl0_99
    | ~ spl0_100 ),
    inference(subsumption_resolution,[],[f2042,f740]) ).

fof(f740,plain,
    ( ~ c2_1(a1574)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f738,plain,
    ( spl0_99
  <=> c2_1(a1574) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f2042,plain,
    ( c2_1(a1574)
    | ~ spl0_22
    | ~ spl0_36
    | ~ spl0_57
    | ~ spl0_100 ),
    inference(resolution,[],[f2002,f745]) ).

fof(f745,plain,
    ( c3_1(a1574)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f743,plain,
    ( spl0_100
  <=> c3_1(a1574) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f2002,plain,
    ( ! [X74] :
        ( ~ c3_1(X74)
        | c2_1(X74) )
    | ~ spl0_22
    | ~ spl0_36
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f510,f1886]) ).

fof(f510,plain,
    ( ! [X74] :
        ( ~ c3_1(X74)
        | c0_1(X74)
        | c2_1(X74) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f509,plain,
    ( spl0_57
  <=> ! [X74] :
        ( ~ c3_1(X74)
        | c0_1(X74)
        | c2_1(X74) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f2032,plain,
    ( spl0_111
    | spl0_168
    | ~ spl0_61
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1796,f807,f534,f1879,f802]) ).

fof(f534,plain,
    ( spl0_61
  <=> ! [X102] :
        ( ~ c3_1(X102)
        | c0_1(X102)
        | c1_1(X102) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1796,plain,
    ( c0_1(a1566)
    | c1_1(a1566)
    | ~ spl0_61
    | ~ spl0_112 ),
    inference(resolution,[],[f535,f809]) ).

fof(f809,plain,
    ( c3_1(a1566)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f535,plain,
    ( ! [X102] :
        ( ~ c3_1(X102)
        | c0_1(X102)
        | c1_1(X102) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f1966,plain,
    ( ~ spl0_22
    | ~ spl0_29
    | ~ spl0_36
    | spl0_141
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f1965]) ).

fof(f1965,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_29
    | ~ spl0_36
    | spl0_141
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f1959,f964]) ).

fof(f964,plain,
    ( ~ c2_1(a1543)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f962]) ).

fof(f962,plain,
    ( spl0_141
  <=> c2_1(a1543) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1959,plain,
    ( c2_1(a1543)
    | ~ spl0_22
    | ~ spl0_29
    | ~ spl0_36
    | ~ spl0_143 ),
    inference(resolution,[],[f1952,f974]) ).

fof(f974,plain,
    ( c0_1(a1543)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f972]) ).

fof(f972,plain,
    ( spl0_143
  <=> c0_1(a1543) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1952,plain,
    ( ! [X14] :
        ( ~ c0_1(X14)
        | c2_1(X14) )
    | ~ spl0_22
    | ~ spl0_29
    | ~ spl0_36 ),
    inference(subsumption_resolution,[],[f382,f1886]) ).

fof(f1949,plain,
    ( ~ spl0_29
    | ~ spl0_59
    | spl0_147
    | spl0_148 ),
    inference(avatar_contradiction_clause,[],[f1948]) ).

fof(f1948,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_59
    | spl0_147
    | spl0_148 ),
    inference(subsumption_resolution,[],[f1933,f996]) ).

fof(f1933,plain,
    ( c3_1(a1538)
    | ~ spl0_29
    | ~ spl0_59
    | spl0_148 ),
    inference(resolution,[],[f1888,f1001]) ).

fof(f1001,plain,
    ( ~ c2_1(a1538)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f999]) ).

fof(f999,plain,
    ( spl0_148
  <=> c2_1(a1538) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1888,plain,
    ( ! [X14] :
        ( c2_1(X14)
        | c3_1(X14) )
    | ~ spl0_29
    | ~ spl0_59 ),
    inference(subsumption_resolution,[],[f382,f523]) ).

fof(f523,plain,
    ( ! [X87] :
        ( c2_1(X87)
        | c0_1(X87)
        | c3_1(X87) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f522,plain,
    ( spl0_59
  <=> ! [X87] :
        ( c3_1(X87)
        | c0_1(X87)
        | c2_1(X87) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1891,plain,
    ( ~ spl0_162
    | ~ spl0_92
    | ~ spl0_22
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1615,f695,f350,f700,f1148]) ).

fof(f1148,plain,
    ( spl0_162
  <=> c1_1(a1593) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f700,plain,
    ( spl0_92
  <=> c0_1(a1593) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f695,plain,
    ( spl0_91
  <=> c3_1(a1593) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1615,plain,
    ( ~ c0_1(a1593)
    | ~ c1_1(a1593)
    | ~ spl0_22
    | ~ spl0_91 ),
    inference(resolution,[],[f697,f351]) ).

fof(f697,plain,
    ( c3_1(a1593)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f1876,plain,
    ( spl0_96
    | ~ spl0_62
    | spl0_97
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1855,f732,f727,f540,f722]) ).

fof(f722,plain,
    ( spl0_96
  <=> c1_1(a1575) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f727,plain,
    ( spl0_97
  <=> c0_1(a1575) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f732,plain,
    ( spl0_98
  <=> c2_1(a1575) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1855,plain,
    ( c1_1(a1575)
    | ~ spl0_62
    | spl0_97
    | ~ spl0_98 ),
    inference(subsumption_resolution,[],[f1841,f729]) ).

fof(f729,plain,
    ( ~ c0_1(a1575)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f1841,plain,
    ( c0_1(a1575)
    | c1_1(a1575)
    | ~ spl0_62
    | ~ spl0_98 ),
    inference(resolution,[],[f541,f734]) ).

fof(f734,plain,
    ( c2_1(a1575)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f1869,plain,
    ( ~ spl0_76
    | ~ spl0_77
    | ~ spl0_20
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1527,f610,f342,f620,f615]) ).

fof(f615,plain,
    ( spl0_76
  <=> c2_1(a1542) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f620,plain,
    ( spl0_77
  <=> c1_1(a1542) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f610,plain,
    ( spl0_75
  <=> c3_1(a1542) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1527,plain,
    ( ~ c1_1(a1542)
    | ~ c2_1(a1542)
    | ~ spl0_20
    | ~ spl0_75 ),
    inference(resolution,[],[f343,f612]) ).

fof(f612,plain,
    ( c3_1(a1542)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f1868,plain,
    ( ~ spl0_76
    | spl0_165
    | ~ spl0_52
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1702,f610,f484,f1371,f615]) ).

fof(f1371,plain,
    ( spl0_165
  <=> c0_1(a1542) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f484,plain,
    ( spl0_52
  <=> ! [X58] :
        ( ~ c3_1(X58)
        | c0_1(X58)
        | ~ c2_1(X58) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1702,plain,
    ( c0_1(a1542)
    | ~ c2_1(a1542)
    | ~ spl0_52
    | ~ spl0_75 ),
    inference(resolution,[],[f485,f612]) ).

fof(f485,plain,
    ( ! [X58] :
        ( ~ c3_1(X58)
        | c0_1(X58)
        | ~ c2_1(X58) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f1791,plain,
    ( ~ spl0_59
    | spl0_81
    | spl0_82
    | spl0_83 ),
    inference(avatar_contradiction_clause,[],[f1790]) ).

fof(f1790,plain,
    ( $false
    | ~ spl0_59
    | spl0_81
    | spl0_82
    | spl0_83 ),
    inference(subsumption_resolution,[],[f1789,f644]) ).

fof(f644,plain,
    ( ~ c3_1(a1624)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f642,plain,
    ( spl0_81
  <=> c3_1(a1624) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1789,plain,
    ( c3_1(a1624)
    | ~ spl0_59
    | spl0_82
    | spl0_83 ),
    inference(subsumption_resolution,[],[f1779,f654]) ).

fof(f654,plain,
    ( ~ c0_1(a1624)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f652,plain,
    ( spl0_83
  <=> c0_1(a1624) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1779,plain,
    ( c0_1(a1624)
    | c3_1(a1624)
    | ~ spl0_59
    | spl0_82 ),
    inference(resolution,[],[f523,f649]) ).

fof(f649,plain,
    ( ~ c2_1(a1624)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f647,plain,
    ( spl0_82
  <=> c2_1(a1624) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1765,plain,
    ( ~ spl0_58
    | spl0_99
    | ~ spl0_101
    | spl0_166 ),
    inference(avatar_contradiction_clause,[],[f1764]) ).

fof(f1764,plain,
    ( $false
    | ~ spl0_58
    | spl0_99
    | ~ spl0_101
    | spl0_166 ),
    inference(subsumption_resolution,[],[f1763,f740]) ).

fof(f1763,plain,
    ( c2_1(a1574)
    | ~ spl0_58
    | ~ spl0_101
    | spl0_166 ),
    inference(subsumption_resolution,[],[f1752,f1378]) ).

fof(f1378,plain,
    ( ~ c0_1(a1574)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f1376]) ).

fof(f1376,plain,
    ( spl0_166
  <=> c0_1(a1574) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f1752,plain,
    ( c0_1(a1574)
    | c2_1(a1574)
    | ~ spl0_58
    | ~ spl0_101 ),
    inference(resolution,[],[f517,f750]) ).

fof(f750,plain,
    ( c1_1(a1574)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f748,plain,
    ( spl0_101
  <=> c1_1(a1574) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f517,plain,
    ( ! [X81] :
        ( ~ c1_1(X81)
        | c0_1(X81)
        | c2_1(X81) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f516,plain,
    ( spl0_58
  <=> ! [X81] :
        ( ~ c1_1(X81)
        | c0_1(X81)
        | c2_1(X81) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f1755,plain,
    ( ~ spl0_58
    | spl0_150
    | spl0_151
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f1754]) ).

fof(f1754,plain,
    ( $false
    | ~ spl0_58
    | spl0_150
    | spl0_151
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f1753,f1012]) ).

fof(f1012,plain,
    ( ~ c2_1(a1536)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f1010]) ).

fof(f1010,plain,
    ( spl0_150
  <=> c2_1(a1536) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1753,plain,
    ( c2_1(a1536)
    | ~ spl0_58
    | spl0_151
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f1745,f1017]) ).

fof(f1017,plain,
    ( ~ c0_1(a1536)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f1015]) ).

fof(f1015,plain,
    ( spl0_151
  <=> c0_1(a1536) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1745,plain,
    ( c0_1(a1536)
    | c2_1(a1536)
    | ~ spl0_58
    | ~ spl0_152 ),
    inference(resolution,[],[f517,f1022]) ).

fof(f1022,plain,
    ( c1_1(a1536)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f1020]) ).

fof(f1020,plain,
    ( spl0_152
  <=> c1_1(a1536) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1736,plain,
    ( ~ spl0_52
    | ~ spl0_57
    | spl0_144
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f1735]) ).

fof(f1735,plain,
    ( $false
    | ~ spl0_52
    | ~ spl0_57
    | spl0_144
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f1724,f980]) ).

fof(f980,plain,
    ( ~ c0_1(a1539)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f978]) ).

fof(f978,plain,
    ( spl0_144
  <=> c0_1(a1539) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1724,plain,
    ( c0_1(a1539)
    | ~ spl0_52
    | ~ spl0_57
    | ~ spl0_145 ),
    inference(resolution,[],[f1721,f985]) ).

fof(f1721,plain,
    ( ! [X74] :
        ( ~ c3_1(X74)
        | c0_1(X74) )
    | ~ spl0_52
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f510,f485]) ).

fof(f1670,plain,
    ( spl0_142
    | ~ spl0_48
    | spl0_141
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1669,f972,f962,f467,f967]) ).

fof(f967,plain,
    ( spl0_142
  <=> c1_1(a1543) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1669,plain,
    ( c1_1(a1543)
    | ~ spl0_48
    | spl0_141
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f1655,f964]) ).

fof(f1655,plain,
    ( c1_1(a1543)
    | c2_1(a1543)
    | ~ spl0_48
    | ~ spl0_143 ),
    inference(resolution,[],[f468,f974]) ).

fof(f1668,plain,
    ( spl0_90
    | ~ spl0_48
    | ~ spl0_92
    | spl0_162 ),
    inference(avatar_split_clause,[],[f1665,f1148,f700,f467,f690]) ).

fof(f690,plain,
    ( spl0_90
  <=> c2_1(a1593) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1665,plain,
    ( c2_1(a1593)
    | ~ spl0_48
    | ~ spl0_92
    | spl0_162 ),
    inference(subsumption_resolution,[],[f1659,f1150]) ).

fof(f1150,plain,
    ( ~ c1_1(a1593)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1148]) ).

fof(f1659,plain,
    ( c1_1(a1593)
    | c2_1(a1593)
    | ~ spl0_48
    | ~ spl0_92 ),
    inference(resolution,[],[f468,f702]) ).

fof(f702,plain,
    ( c0_1(a1593)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f1637,plain,
    ( ~ spl0_167
    | ~ spl0_68
    | ~ spl0_22
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1631,f562,f350,f572,f1633]) ).

fof(f1631,plain,
    ( ~ c0_1(a1562)
    | ~ c1_1(a1562)
    | ~ spl0_22
    | ~ spl0_66 ),
    inference(resolution,[],[f564,f351]) ).

fof(f1629,plain,
    ( ~ spl0_44
    | spl0_102
    | spl0_103
    | ~ spl0_104 ),
    inference(avatar_contradiction_clause,[],[f1628]) ).

fof(f1628,plain,
    ( $false
    | ~ spl0_44
    | spl0_102
    | spl0_103
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f1627,f756]) ).

fof(f756,plain,
    ( ~ c3_1(a1573)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f754,plain,
    ( spl0_102
  <=> c3_1(a1573) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1627,plain,
    ( c3_1(a1573)
    | ~ spl0_44
    | spl0_103
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f1621,f761]) ).

fof(f761,plain,
    ( ~ c1_1(a1573)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f759]) ).

fof(f759,plain,
    ( spl0_103
  <=> c1_1(a1573) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1621,plain,
    ( c1_1(a1573)
    | c3_1(a1573)
    | ~ spl0_44
    | ~ spl0_104 ),
    inference(resolution,[],[f452,f766]) ).

fof(f766,plain,
    ( c0_1(a1573)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f764,plain,
    ( spl0_104
  <=> c0_1(a1573) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f452,plain,
    ( ! [X45] :
        ( ~ c0_1(X45)
        | c1_1(X45)
        | c3_1(X45) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f451,plain,
    ( spl0_44
  <=> ! [X45] :
        ( ~ c0_1(X45)
        | c1_1(X45)
        | c3_1(X45) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1625,plain,
    ( ~ spl0_23
    | ~ spl0_44
    | spl0_156
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f1624]) ).

fof(f1624,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_44
    | spl0_156
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f1623,f1044]) ).

fof(f1623,plain,
    ( c3_1(a1534)
    | ~ spl0_23
    | ~ spl0_44
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f1617,f1499]) ).

fof(f1499,plain,
    ( ~ c1_1(a1534)
    | ~ spl0_23
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f1498,f1049]) ).

fof(f1498,plain,
    ( ~ c2_1(a1534)
    | ~ c1_1(a1534)
    | ~ spl0_23
    | ~ spl0_158 ),
    inference(resolution,[],[f1054,f355]) ).

fof(f355,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f354,plain,
    ( spl0_23
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1617,plain,
    ( c1_1(a1534)
    | c3_1(a1534)
    | ~ spl0_44
    | ~ spl0_158 ),
    inference(resolution,[],[f452,f1054]) ).

fof(f1613,plain,
    ( ~ spl0_22
    | ~ spl0_29
    | spl0_117
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(avatar_contradiction_clause,[],[f1612]) ).

fof(f1612,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_29
    | spl0_117
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f1611,f841]) ).

fof(f1611,plain,
    ( ~ c1_1(a1558)
    | ~ spl0_22
    | ~ spl0_29
    | spl0_117
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f1610,f846]) ).

fof(f1610,plain,
    ( ~ c0_1(a1558)
    | ~ c1_1(a1558)
    | ~ spl0_22
    | ~ spl0_29
    | spl0_117
    | ~ spl0_119 ),
    inference(resolution,[],[f1548,f351]) ).

fof(f1548,plain,
    ( c3_1(a1558)
    | ~ spl0_29
    | spl0_117
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f1546,f836]) ).

fof(f1546,plain,
    ( c2_1(a1558)
    | c3_1(a1558)
    | ~ spl0_29
    | ~ spl0_119 ),
    inference(resolution,[],[f382,f846]) ).

fof(f1608,plain,
    ( ~ spl0_20
    | ~ spl0_38
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f1607]) ).

fof(f1607,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_38
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f1603,f857]) ).

fof(f857,plain,
    ( c2_1(a1556)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f855]) ).

fof(f855,plain,
    ( spl0_121
  <=> c2_1(a1556) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1603,plain,
    ( ~ c2_1(a1556)
    | ~ spl0_20
    | ~ spl0_38
    | ~ spl0_122 ),
    inference(resolution,[],[f1596,f862]) ).

fof(f862,plain,
    ( c1_1(a1556)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f860,plain,
    ( spl0_122
  <=> c1_1(a1556) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1596,plain,
    ( ! [X24] :
        ( ~ c1_1(X24)
        | ~ c2_1(X24) )
    | ~ spl0_20
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f421,f343]) ).

fof(f1586,plain,
    ( ~ spl0_22
    | ~ spl0_27
    | spl0_117
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(avatar_contradiction_clause,[],[f1585]) ).

fof(f1585,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_27
    | spl0_117
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f1584,f841]) ).

fof(f1584,plain,
    ( ~ c1_1(a1558)
    | ~ spl0_22
    | ~ spl0_27
    | spl0_117
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f1583,f846]) ).

fof(f1583,plain,
    ( ~ c0_1(a1558)
    | ~ c1_1(a1558)
    | ~ spl0_22
    | ~ spl0_27
    | spl0_117
    | ~ spl0_118 ),
    inference(resolution,[],[f1542,f351]) ).

fof(f1542,plain,
    ( c3_1(a1558)
    | ~ spl0_27
    | spl0_117
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f1536,f836]) ).

fof(f1536,plain,
    ( c2_1(a1558)
    | c3_1(a1558)
    | ~ spl0_27
    | ~ spl0_118 ),
    inference(resolution,[],[f373,f841]) ).

fof(f1557,plain,
    ( ~ spl0_29
    | ~ spl0_34
    | spl0_156
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f1556]) ).

fof(f1556,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_34
    | spl0_156
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f1552,f1044]) ).

fof(f1552,plain,
    ( c3_1(a1534)
    | ~ spl0_29
    | ~ spl0_34
    | ~ spl0_158 ),
    inference(resolution,[],[f1549,f1054]) ).

fof(f1549,plain,
    ( ! [X19] :
        ( ~ c0_1(X19)
        | c3_1(X19) )
    | ~ spl0_29
    | ~ spl0_34 ),
    inference(subsumption_resolution,[],[f405,f382]) ).

fof(f1517,plain,
    ( ~ spl0_23
    | ~ spl0_39
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(avatar_contradiction_clause,[],[f1516]) ).

fof(f1516,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_39
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f1513,f841]) ).

fof(f1513,plain,
    ( ~ c1_1(a1558)
    | ~ spl0_23
    | ~ spl0_39
    | ~ spl0_119 ),
    inference(resolution,[],[f1488,f846]) ).

fof(f1488,plain,
    ( ! [X28] :
        ( ~ c0_1(X28)
        | ~ c1_1(X28) )
    | ~ spl0_23
    | ~ spl0_39 ),
    inference(subsumption_resolution,[],[f426,f355]) ).

fof(f1511,plain,
    ( ~ spl0_26
    | spl0_99
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(avatar_contradiction_clause,[],[f1510]) ).

fof(f1510,plain,
    ( $false
    | ~ spl0_26
    | spl0_99
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(subsumption_resolution,[],[f1509,f750]) ).

fof(f1509,plain,
    ( ~ c1_1(a1574)
    | ~ spl0_26
    | spl0_99
    | ~ spl0_100 ),
    inference(subsumption_resolution,[],[f1504,f740]) ).

fof(f1504,plain,
    ( c2_1(a1574)
    | ~ c1_1(a1574)
    | ~ spl0_26
    | ~ spl0_100 ),
    inference(resolution,[],[f368,f745]) ).

fof(f1496,plain,
    ( ~ spl0_118
    | ~ spl0_22
    | ~ spl0_24
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1492,f844,f358,f350,f839]) ).

fof(f1492,plain,
    ( ~ c1_1(a1558)
    | ~ spl0_22
    | ~ spl0_24
    | ~ spl0_119 ),
    inference(resolution,[],[f1458,f846]) ).

fof(f1458,plain,
    ( ! [X3] :
        ( ~ c0_1(X3)
        | ~ c1_1(X3) )
    | ~ spl0_22
    | ~ spl0_24 ),
    inference(subsumption_resolution,[],[f359,f351]) ).

fof(f1469,plain,
    ( ~ spl0_22
    | ~ spl0_53
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(avatar_contradiction_clause,[],[f1468]) ).

fof(f1468,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_53
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(subsumption_resolution,[],[f1462,f750]) ).

fof(f1462,plain,
    ( ~ c1_1(a1574)
    | ~ spl0_22
    | ~ spl0_53
    | ~ spl0_100 ),
    inference(resolution,[],[f1451,f745]) ).

fof(f1451,plain,
    ( ! [X59] :
        ( ~ c3_1(X59)
        | ~ c1_1(X59) )
    | ~ spl0_22
    | ~ spl0_53 ),
    inference(subsumption_resolution,[],[f489,f351]) ).

fof(f489,plain,
    ( ! [X59] :
        ( ~ c3_1(X59)
        | c0_1(X59)
        | ~ c1_1(X59) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f488,plain,
    ( spl0_53
  <=> ! [X59] :
        ( ~ c3_1(X59)
        | c0_1(X59)
        | ~ c1_1(X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1397,plain,
    ( ~ spl0_23
    | ~ spl0_54
    | ~ spl0_76
    | ~ spl0_77 ),
    inference(avatar_contradiction_clause,[],[f1396]) ).

fof(f1396,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_54
    | ~ spl0_76
    | ~ spl0_77 ),
    inference(subsumption_resolution,[],[f1394,f622]) ).

fof(f622,plain,
    ( c1_1(a1542)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f1394,plain,
    ( ~ c1_1(a1542)
    | ~ spl0_23
    | ~ spl0_54
    | ~ spl0_76 ),
    inference(resolution,[],[f1380,f617]) ).

fof(f617,plain,
    ( c2_1(a1542)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f1380,plain,
    ( ! [X62] :
        ( ~ c2_1(X62)
        | ~ c1_1(X62) )
    | ~ spl0_23
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f494,f355]) ).

fof(f1379,plain,
    ( ~ spl0_101
    | ~ spl0_166
    | ~ spl0_22
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1077,f743,f350,f1376,f748]) ).

fof(f1077,plain,
    ( ~ c0_1(a1574)
    | ~ c1_1(a1574)
    | ~ spl0_22
    | ~ spl0_100 ),
    inference(resolution,[],[f351,f745]) ).

fof(f1374,plain,
    ( ~ spl0_77
    | ~ spl0_165
    | ~ spl0_22
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1302,f610,f350,f1371,f620]) ).

fof(f1302,plain,
    ( ~ c0_1(a1542)
    | ~ c1_1(a1542)
    | ~ spl0_22
    | ~ spl0_75 ),
    inference(resolution,[],[f612,f351]) ).

fof(f1350,plain,
    ( ~ spl0_23
    | ~ spl0_39
    | ~ spl0_40
    | ~ spl0_48
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f1339]) ).

fof(f1339,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_39
    | ~ spl0_40
    | ~ spl0_48
    | ~ spl0_158 ),
    inference(resolution,[],[f1335,f1054]) ).

fof(f1335,plain,
    ( ! [X28] : ~ c0_1(X28)
    | ~ spl0_23
    | ~ spl0_39
    | ~ spl0_40
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f1334,f1207]) ).

fof(f1207,plain,
    ( ! [X30] :
        ( ~ c2_1(X30)
        | ~ c0_1(X30) )
    | ~ spl0_23
    | ~ spl0_40 ),
    inference(subsumption_resolution,[],[f430,f355]) ).

fof(f1334,plain,
    ( ! [X28] :
        ( c2_1(X28)
        | ~ c0_1(X28) )
    | ~ spl0_23
    | ~ spl0_39
    | ~ spl0_40
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f426,f1230]) ).

fof(f1230,plain,
    ( ! [X51] :
        ( ~ c0_1(X51)
        | c1_1(X51) )
    | ~ spl0_23
    | ~ spl0_40
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f468,f1207]) ).

fof(f1346,plain,
    ( ~ spl0_23
    | ~ spl0_39
    | ~ spl0_40
    | ~ spl0_48
    | ~ spl0_92 ),
    inference(avatar_contradiction_clause,[],[f1343]) ).

fof(f1343,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_39
    | ~ spl0_40
    | ~ spl0_48
    | ~ spl0_92 ),
    inference(resolution,[],[f1335,f702]) ).

fof(f1331,plain,
    ( ~ spl0_23
    | ~ spl0_54
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f1330]) ).

fof(f1330,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_54
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f1323,f862]) ).

fof(f1323,plain,
    ( ~ c1_1(a1556)
    | ~ spl0_23
    | ~ spl0_54
    | ~ spl0_121 ),
    inference(resolution,[],[f1321,f857]) ).

fof(f1321,plain,
    ( ! [X62] :
        ( ~ c2_1(X62)
        | ~ c1_1(X62) )
    | ~ spl0_23
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f494,f355]) ).

fof(f1300,plain,
    ( ~ spl0_158
    | ~ spl0_23
    | ~ spl0_40
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1299,f1047,f429,f354,f1052]) ).

fof(f1299,plain,
    ( ~ c0_1(a1534)
    | ~ spl0_23
    | ~ spl0_40
    | ~ spl0_157 ),
    inference(resolution,[],[f1049,f1207]) ).

fof(f1259,plain,
    ( ~ spl0_22
    | ~ spl0_23
    | ~ spl0_24
    | ~ spl0_40
    | ~ spl0_48
    | ~ spl0_104 ),
    inference(avatar_contradiction_clause,[],[f1254]) ).

fof(f1254,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_23
    | ~ spl0_24
    | ~ spl0_40
    | ~ spl0_48
    | ~ spl0_104 ),
    inference(resolution,[],[f1252,f766]) ).

fof(f1252,plain,
    ( ! [X3] : ~ c0_1(X3)
    | ~ spl0_22
    | ~ spl0_23
    | ~ spl0_24
    | ~ spl0_40
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f1231,f1230]) ).

fof(f1231,plain,
    ( ! [X3] :
        ( ~ c1_1(X3)
        | ~ c0_1(X3) )
    | ~ spl0_22
    | ~ spl0_24 ),
    inference(subsumption_resolution,[],[f359,f351]) ).

fof(f1257,plain,
    ( ~ spl0_22
    | ~ spl0_23
    | ~ spl0_24
    | ~ spl0_40
    | ~ spl0_48
    | ~ spl0_89 ),
    inference(avatar_contradiction_clause,[],[f1256]) ).

fof(f1256,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_23
    | ~ spl0_24
    | ~ spl0_40
    | ~ spl0_48
    | ~ spl0_89 ),
    inference(resolution,[],[f1252,f686]) ).

fof(f1159,plain,
    ( ~ spl0_27
    | spl0_114
    | spl0_115
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f1158]) ).

fof(f1158,plain,
    ( $false
    | ~ spl0_27
    | spl0_114
    | spl0_115
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f1157,f820]) ).

fof(f820,plain,
    ( ~ c3_1(a1565)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f818,plain,
    ( spl0_114
  <=> c3_1(a1565) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1157,plain,
    ( c3_1(a1565)
    | ~ spl0_27
    | spl0_115
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f1156,f825]) ).

fof(f825,plain,
    ( ~ c2_1(a1565)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f823]) ).

fof(f823,plain,
    ( spl0_115
  <=> c2_1(a1565) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1156,plain,
    ( c2_1(a1565)
    | c3_1(a1565)
    | ~ spl0_27
    | ~ spl0_116 ),
    inference(resolution,[],[f830,f373]) ).

fof(f830,plain,
    ( c1_1(a1565)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f828,plain,
    ( spl0_116
  <=> c1_1(a1565) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1144,plain,
    ( ~ spl0_71
    | ~ spl0_22
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1143,f583,f578,f350,f588]) ).

fof(f588,plain,
    ( spl0_71
  <=> c0_1(a1546) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f578,plain,
    ( spl0_69
  <=> c3_1(a1546) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f583,plain,
    ( spl0_70
  <=> c1_1(a1546) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1143,plain,
    ( ~ c0_1(a1546)
    | ~ spl0_22
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(subsumption_resolution,[],[f1132,f585]) ).

fof(f585,plain,
    ( c1_1(a1546)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f1132,plain,
    ( ~ c0_1(a1546)
    | ~ c1_1(a1546)
    | ~ spl0_22
    | ~ spl0_69 ),
    inference(resolution,[],[f580,f351]) ).

fof(f580,plain,
    ( c3_1(a1546)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f1138,plain,
    ( ~ spl0_22
    | ~ spl0_24
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(avatar_contradiction_clause,[],[f1137]) ).

fof(f1137,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_24
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(subsumption_resolution,[],[f1135,f585]) ).

fof(f1135,plain,
    ( ~ c1_1(a1546)
    | ~ spl0_22
    | ~ spl0_24
    | ~ spl0_71 ),
    inference(resolution,[],[f590,f1105]) ).

fof(f1105,plain,
    ( ! [X3] :
        ( ~ c0_1(X3)
        | ~ c1_1(X3) )
    | ~ spl0_22
    | ~ spl0_24 ),
    inference(subsumption_resolution,[],[f359,f351]) ).

fof(f590,plain,
    ( c0_1(a1546)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f1129,plain,
    ( ~ spl0_22
    | ~ spl0_36
    | ~ spl0_66
    | ~ spl0_68 ),
    inference(avatar_contradiction_clause,[],[f1128]) ).

fof(f1128,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_36
    | ~ spl0_66
    | ~ spl0_68 ),
    inference(subsumption_resolution,[],[f1126,f564]) ).

fof(f1126,plain,
    ( ~ c3_1(a1562)
    | ~ spl0_22
    | ~ spl0_36
    | ~ spl0_68 ),
    inference(resolution,[],[f1125,f574]) ).

fof(f1125,plain,
    ( ! [X23] :
        ( ~ c0_1(X23)
        | ~ c3_1(X23) )
    | ~ spl0_22
    | ~ spl0_36 ),
    inference(subsumption_resolution,[],[f413,f351]) ).

fof(f1056,plain,
    ( ~ spl0_9
    | spl0_19 ),
    inference(avatar_split_clause,[],[f11,f338,f293]) ).

fof(f293,plain,
    ( spl0_9
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f338,plain,
    ( spl0_19
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f11,plain,
    ( ndr1_0
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp9
      | hskp27
      | hskp5 )
    & ( hskp26
      | hskp3
      | hskp23 )
    & ( hskp3
      | hskp12
      | hskp10 )
    & ( hskp26
      | hskp15
      | hskp1 )
    & ( hskp7
      | hskp15
      | hskp31 )
    & ( hskp15
      | hskp20
      | hskp14 )
    & ( hskp4
      | hskp1
      | hskp14 )
    & ( hskp25
      | hskp19
      | hskp29 )
    & ( hskp22
      | hskp14
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp31
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp20
      | ! [X3] :
          ( ~ c1_1(X3)
          | ~ c0_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c0_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( ! [X8] :
          ( ~ c3_1(X8)
          | ~ c2_1(X8)
          | ~ c1_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp19
      | ! [X11] :
          ( ~ c1_1(X11)
          | c3_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c1_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp28
      | ! [X14] :
          ( ~ c0_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp19
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp8
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp19
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp31
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c0_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c0_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp30
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X24] :
          ( ~ c2_1(X24)
          | ~ c1_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c0_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c1_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c0_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X28] :
          ( ~ c1_1(X28)
          | ~ c0_1(X28)
          | c2_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp10
      | ! [X30] :
          ( ~ c2_1(X30)
          | ~ c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp14
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c0_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X32] :
          ( ~ c2_1(X32)
          | ~ c1_1(X32)
          | c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c2_1(X33)
          | ~ c0_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [X34] :
          ( ~ c3_1(X34)
          | ~ c2_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c2_1(X35)
          | ~ c0_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X37] :
          ( ~ c1_1(X37)
          | ~ c0_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c2_1(X38)
          | ~ c0_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X39] :
          ( ~ c1_1(X39)
          | c3_1(X39)
          | c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c2_1(X40)
          | ~ c0_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X41] :
          ( ~ c0_1(X41)
          | c3_1(X41)
          | c2_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c2_1(X42)
          | ~ c0_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp8
      | ! [X43] :
          ( ~ c2_1(X43)
          | c3_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c0_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c0_1(X45)
          | c3_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( ~ c3_1(X46)
          | ~ c1_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c2_1(X47)
          | ~ c0_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c0_1(X48)
          | c3_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | ~ c0_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c3_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp11
      | ! [X51] :
          ( ~ c0_1(X51)
          | c2_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X52] :
          ( ~ c1_1(X52)
          | c3_1(X52)
          | c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c0_1(X53)
          | c2_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c2_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c3_1(X55)
          | c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( ~ c3_1(X56)
          | ~ c0_1(X56)
          | c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c3_1(X57)
          | c2_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp1
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X60] :
          ( ~ c0_1(X60)
          | c3_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp14
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X63] :
          ( ~ c1_1(X63)
          | ~ c0_1(X63)
          | c2_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X65] :
          ( ~ c1_1(X65)
          | c3_1(X65)
          | c2_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c2_1(X66)
          | ~ c1_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c0_1(X67)
          | c1_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c2_1(X68)
          | ~ c1_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( ~ c3_1(X69)
          | ~ c0_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c2_1(X71)
          | ~ c1_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X72] :
          ( ~ c3_1(X72)
          | ~ c0_1(X72)
          | c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c1_1(X73)
          | c3_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp12
      | ! [X74] :
          ( ~ c3_1(X74)
          | c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X75] :
          ( ~ c3_1(X75)
          | ~ c2_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X77] :
          ( ~ c3_1(X77)
          | ~ c2_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X79] :
          ( ~ c0_1(X79)
          | c2_1(X79)
          | c1_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c3_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp10
      | ! [X81] :
          ( ~ c1_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X82] :
          ( ~ c2_1(X82)
          | c3_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( ! [X84] :
          ( ~ c3_1(X84)
          | ~ c2_1(X84)
          | ~ c1_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp30
      | ! [X87] :
          ( c3_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X88] :
          ( ~ c3_1(X88)
          | ~ c0_1(X88)
          | c2_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c3_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X90] :
          ( ~ c0_1(X90)
          | c3_1(X90)
          | c2_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c0_1(X91)
          | c3_1(X91)
          | c1_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c3_1(X92)
          | c2_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X93] :
          ( ~ c3_1(X93)
          | ~ c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( ! [X95] :
          ( ~ c0_1(X95)
          | c3_1(X95)
          | c1_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c2_1(X96)
          | c3_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c3_1(X97)
          | c2_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X98] :
          ( ~ c3_1(X98)
          | c2_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( c3_1(X99)
          | c2_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( ! [X100] :
          ( ~ c2_1(X100)
          | ~ c0_1(X100)
          | c3_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c1_1(X101)
          | ~ c0_1(X101)
          | c3_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c3_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( ! [X103] :
          ( ~ c2_1(X103)
          | ~ c0_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c0_1(X104)
          | c2_1(X104)
          | c1_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c3_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( ! [X106] :
          ( ~ c2_1(X106)
          | ~ c1_1(X106)
          | ~ c0_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c3_1(X107)
          | c2_1(X107)
          | c1_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c3_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X109] :
          ( ~ c3_1(X109)
          | ~ c1_1(X109)
          | c2_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c2_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X111] :
          ( c3_1(X111)
          | c2_1(X111)
          | c1_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( ~ c2_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X113] :
          ( ~ c3_1(X113)
          | ~ c1_1(X113)
          | ~ c0_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( c3_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X115] :
          ( ~ c1_1(X115)
          | ~ c0_1(X115)
          | c3_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c3_1(X116)
          | c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X117] :
          ( ~ c3_1(X117)
          | ~ c2_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( c3_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp3
      | ! [X119] :
          ( c2_1(X119)
          | c1_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X120] :
          ( c2_1(X120)
          | c1_1(X120)
          | c0_1(X120)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X121] :
          ( ~ c3_1(X121)
          | ~ c2_1(X121)
          | c1_1(X121)
          | ~ ndr1_0 )
      | ! [X122] :
          ( c2_1(X122)
          | c1_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 ) )
    & ( ! [X123] :
          ( ~ c2_1(X123)
          | ~ c1_1(X123)
          | ~ c0_1(X123)
          | ~ ndr1_0 )
      | ! [X124] :
          ( ~ c2_1(X124)
          | c3_1(X124)
          | c0_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( c2_1(X125)
          | c1_1(X125)
          | c0_1(X125)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a1562)
        & c2_1(a1562)
        & c0_1(a1562)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a1546)
        & c1_1(a1546)
        & c0_1(a1546)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a1544)
        & c1_1(a1544)
        & c0_1(a1544)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a1542)
        & c2_1(a1542)
        & c1_1(a1542)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c2_1(a1632)
        & ~ c1_1(a1632)
        & ~ c0_1(a1632)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a1624)
        & ~ c2_1(a1624)
        & ~ c0_1(a1624)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a1612)
        & ~ c0_1(a1612)
        & c3_1(a1612)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a1600)
        & ~ c2_1(a1600)
        & c0_1(a1600)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a1593)
        & c3_1(a1593)
        & c0_1(a1593)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a1581)
        & ~ c1_1(a1581)
        & c2_1(a1581)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a1575)
        & ~ c0_1(a1575)
        & c2_1(a1575)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a1574)
        & c3_1(a1574)
        & c1_1(a1574)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a1573)
        & ~ c1_1(a1573)
        & c0_1(a1573)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a1572)
        & c3_1(a1572)
        & c2_1(a1572)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a1570)
        & ~ c0_1(a1570)
        & c3_1(a1570)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a1566)
        & c3_1(a1566)
        & c2_1(a1566)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a1565)
        & ~ c2_1(a1565)
        & c1_1(a1565)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a1558)
        & c1_1(a1558)
        & c0_1(a1558)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a1556)
        & c2_1(a1556)
        & c1_1(a1556)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a1554)
        & c2_1(a1554)
        & c1_1(a1554)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a1553)
        & c2_1(a1553)
        & c0_1(a1553)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a1549)
        & c3_1(a1549)
        & c0_1(a1549)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a1548)
        & ~ c1_1(a1548)
        & ~ c0_1(a1548)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a1547)
        & c1_1(a1547)
        & c0_1(a1547)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a1545)
        & ~ c0_1(a1545)
        & c2_1(a1545)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a1543)
        & ~ c1_1(a1543)
        & c0_1(a1543)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a1539)
        & c3_1(a1539)
        & c1_1(a1539)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a1538)
        & ~ c2_1(a1538)
        & ~ c1_1(a1538)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a1536)
        & ~ c0_1(a1536)
        & c1_1(a1536)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a1535)
        & ~ c1_1(a1535)
        & c3_1(a1535)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a1534)
        & c2_1(a1534)
        & c0_1(a1534)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a1533)
        & ~ c0_1(a1533)
        & c1_1(a1533)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp9
      | hskp27
      | hskp5 )
    & ( hskp26
      | hskp3
      | hskp23 )
    & ( hskp3
      | hskp12
      | hskp10 )
    & ( hskp26
      | hskp15
      | hskp1 )
    & ( hskp7
      | hskp15
      | hskp31 )
    & ( hskp15
      | hskp20
      | hskp14 )
    & ( hskp4
      | hskp1
      | hskp14 )
    & ( hskp25
      | hskp19
      | hskp29 )
    & ( hskp22
      | hskp14
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp31
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp20
      | ! [X3] :
          ( ~ c1_1(X3)
          | ~ c0_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c0_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( ! [X8] :
          ( ~ c3_1(X8)
          | ~ c2_1(X8)
          | ~ c1_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp19
      | ! [X11] :
          ( ~ c1_1(X11)
          | c3_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c1_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp28
      | ! [X14] :
          ( ~ c0_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp19
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp8
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp19
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp31
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c0_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c0_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp30
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X24] :
          ( ~ c2_1(X24)
          | ~ c1_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c0_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c1_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c0_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X28] :
          ( ~ c1_1(X28)
          | ~ c0_1(X28)
          | c2_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp10
      | ! [X30] :
          ( ~ c2_1(X30)
          | ~ c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp14
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c0_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X32] :
          ( ~ c2_1(X32)
          | ~ c1_1(X32)
          | c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c2_1(X33)
          | ~ c0_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [X34] :
          ( ~ c3_1(X34)
          | ~ c2_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c2_1(X35)
          | ~ c0_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X37] :
          ( ~ c1_1(X37)
          | ~ c0_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c2_1(X38)
          | ~ c0_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X39] :
          ( ~ c1_1(X39)
          | c3_1(X39)
          | c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c2_1(X40)
          | ~ c0_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X41] :
          ( ~ c0_1(X41)
          | c3_1(X41)
          | c2_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c2_1(X42)
          | ~ c0_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp8
      | ! [X43] :
          ( ~ c2_1(X43)
          | c3_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c0_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c0_1(X45)
          | c3_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( ~ c3_1(X46)
          | ~ c1_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c2_1(X47)
          | ~ c0_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c0_1(X48)
          | c3_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | ~ c0_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c3_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp11
      | ! [X51] :
          ( ~ c0_1(X51)
          | c2_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X52] :
          ( ~ c1_1(X52)
          | c3_1(X52)
          | c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c0_1(X53)
          | c2_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c2_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c3_1(X55)
          | c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( ~ c3_1(X56)
          | ~ c0_1(X56)
          | c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c3_1(X57)
          | c2_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp1
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X60] :
          ( ~ c0_1(X60)
          | c3_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp14
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X63] :
          ( ~ c1_1(X63)
          | ~ c0_1(X63)
          | c2_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X65] :
          ( ~ c1_1(X65)
          | c3_1(X65)
          | c2_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c2_1(X66)
          | ~ c1_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c0_1(X67)
          | c1_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c2_1(X68)
          | ~ c1_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( ~ c3_1(X69)
          | ~ c0_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c2_1(X71)
          | ~ c1_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X72] :
          ( ~ c3_1(X72)
          | ~ c0_1(X72)
          | c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c1_1(X73)
          | c3_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp12
      | ! [X74] :
          ( ~ c3_1(X74)
          | c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X75] :
          ( ~ c3_1(X75)
          | ~ c2_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X77] :
          ( ~ c3_1(X77)
          | ~ c2_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X79] :
          ( ~ c0_1(X79)
          | c2_1(X79)
          | c1_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c3_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp10
      | ! [X81] :
          ( ~ c1_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X82] :
          ( ~ c2_1(X82)
          | c3_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( ! [X84] :
          ( ~ c3_1(X84)
          | ~ c2_1(X84)
          | ~ c1_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp30
      | ! [X87] :
          ( c3_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X88] :
          ( ~ c3_1(X88)
          | ~ c0_1(X88)
          | c2_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c3_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X90] :
          ( ~ c0_1(X90)
          | c3_1(X90)
          | c2_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c0_1(X91)
          | c3_1(X91)
          | c1_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c3_1(X92)
          | c2_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X93] :
          ( ~ c3_1(X93)
          | ~ c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( ! [X95] :
          ( ~ c0_1(X95)
          | c3_1(X95)
          | c1_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c2_1(X96)
          | c3_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c3_1(X97)
          | c2_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X98] :
          ( ~ c3_1(X98)
          | c2_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( c3_1(X99)
          | c2_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( ! [X100] :
          ( ~ c2_1(X100)
          | ~ c0_1(X100)
          | c3_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c1_1(X101)
          | ~ c0_1(X101)
          | c3_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c3_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( ! [X103] :
          ( ~ c2_1(X103)
          | ~ c0_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c0_1(X104)
          | c2_1(X104)
          | c1_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c3_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( ! [X106] :
          ( ~ c2_1(X106)
          | ~ c1_1(X106)
          | ~ c0_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c3_1(X107)
          | c2_1(X107)
          | c1_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c3_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X109] :
          ( ~ c3_1(X109)
          | ~ c1_1(X109)
          | c2_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c2_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X111] :
          ( c3_1(X111)
          | c2_1(X111)
          | c1_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( ~ c2_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X113] :
          ( ~ c3_1(X113)
          | ~ c1_1(X113)
          | ~ c0_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( c3_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X115] :
          ( ~ c1_1(X115)
          | ~ c0_1(X115)
          | c3_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c3_1(X116)
          | c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X117] :
          ( ~ c3_1(X117)
          | ~ c2_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( c3_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp3
      | ! [X119] :
          ( c2_1(X119)
          | c1_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X120] :
          ( c2_1(X120)
          | c1_1(X120)
          | c0_1(X120)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X121] :
          ( ~ c3_1(X121)
          | ~ c2_1(X121)
          | c1_1(X121)
          | ~ ndr1_0 )
      | ! [X122] :
          ( c2_1(X122)
          | c1_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 ) )
    & ( ! [X123] :
          ( ~ c2_1(X123)
          | ~ c1_1(X123)
          | ~ c0_1(X123)
          | ~ ndr1_0 )
      | ! [X124] :
          ( ~ c2_1(X124)
          | c3_1(X124)
          | c0_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( c2_1(X125)
          | c1_1(X125)
          | c0_1(X125)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a1562)
        & c2_1(a1562)
        & c0_1(a1562)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a1546)
        & c1_1(a1546)
        & c0_1(a1546)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a1544)
        & c1_1(a1544)
        & c0_1(a1544)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a1542)
        & c2_1(a1542)
        & c1_1(a1542)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c2_1(a1632)
        & ~ c1_1(a1632)
        & ~ c0_1(a1632)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a1624)
        & ~ c2_1(a1624)
        & ~ c0_1(a1624)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a1612)
        & ~ c0_1(a1612)
        & c3_1(a1612)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a1600)
        & ~ c2_1(a1600)
        & c0_1(a1600)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a1593)
        & c3_1(a1593)
        & c0_1(a1593)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a1581)
        & ~ c1_1(a1581)
        & c2_1(a1581)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a1575)
        & ~ c0_1(a1575)
        & c2_1(a1575)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a1574)
        & c3_1(a1574)
        & c1_1(a1574)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a1573)
        & ~ c1_1(a1573)
        & c0_1(a1573)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a1572)
        & c3_1(a1572)
        & c2_1(a1572)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a1570)
        & ~ c0_1(a1570)
        & c3_1(a1570)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a1566)
        & c3_1(a1566)
        & c2_1(a1566)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a1565)
        & ~ c2_1(a1565)
        & c1_1(a1565)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a1558)
        & c1_1(a1558)
        & c0_1(a1558)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a1556)
        & c2_1(a1556)
        & c1_1(a1556)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a1554)
        & c2_1(a1554)
        & c1_1(a1554)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a1553)
        & c2_1(a1553)
        & c0_1(a1553)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a1549)
        & c3_1(a1549)
        & c0_1(a1549)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a1548)
        & ~ c1_1(a1548)
        & ~ c0_1(a1548)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a1547)
        & c1_1(a1547)
        & c0_1(a1547)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a1545)
        & ~ c0_1(a1545)
        & c2_1(a1545)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a1543)
        & ~ c1_1(a1543)
        & c0_1(a1543)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a1539)
        & c3_1(a1539)
        & c1_1(a1539)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a1538)
        & ~ c2_1(a1538)
        & ~ c1_1(a1538)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a1536)
        & ~ c0_1(a1536)
        & c1_1(a1536)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a1535)
        & ~ c1_1(a1535)
        & c3_1(a1535)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a1534)
        & c2_1(a1534)
        & c0_1(a1534)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a1533)
        & ~ c0_1(a1533)
        & c1_1(a1533)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp9
      | hskp27
      | hskp5 )
    & ( hskp26
      | hskp3
      | hskp23 )
    & ( hskp3
      | hskp12
      | hskp10 )
    & ( hskp26
      | hskp15
      | hskp1 )
    & ( hskp7
      | hskp15
      | hskp31 )
    & ( hskp15
      | hskp20
      | hskp14 )
    & ( hskp4
      | hskp1
      | hskp14 )
    & ( hskp25
      | hskp19
      | hskp29 )
    & ( hskp22
      | hskp14
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp10
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c1_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp7
      | hskp31
      | ! [X2] :
          ( ndr1_0
         => ( ~ c2_1(X2)
            | ~ c1_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp21
      | hskp20
      | ! [X3] :
          ( ndr1_0
         => ( ~ c1_1(X3)
            | ~ c0_1(X3)
            | c3_1(X3) ) ) )
    & ( hskp23
      | ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | ~ c2_1(X4)
            | ~ c1_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( ~ c1_1(X5)
            | ~ c0_1(X5)
            | c3_1(X5) ) ) )
    & ( hskp5
      | ! [X6] :
          ( ndr1_0
         => ( ~ c3_1(X6)
            | ~ c1_1(X6)
            | ~ c0_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c1_1(X7)
            | c2_1(X7) ) ) )
    & ( ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c2_1(X8)
            | ~ c1_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | ~ c1_1(X9)
            | ~ c0_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c3_1(X10)
            | ~ c1_1(X10)
            | c2_1(X10) ) ) )
    & ( hskp24
      | hskp19
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | c3_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp15
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c1_1(X12)
            | ~ c0_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c1_1(X13)
            | c3_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp15
      | hskp28
      | ! [X14] :
          ( ndr1_0
         => ( ~ c0_1(X14)
            | c3_1(X14)
            | c2_1(X14) ) ) )
    & ( hskp13
      | hskp19
      | ! [X15] :
          ( ndr1_0
         => ( ~ c0_1(X15)
            | c3_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp23
      | hskp8
      | ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | c3_1(X16)
            | c2_1(X16) ) ) )
    & ( hskp3
      | hskp19
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c2_1(X17)
            | c1_1(X17) ) ) )
    & ( hskp3
      | hskp31
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c2_1(X18)
            | c1_1(X18) ) ) )
    & ( hskp19
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | ~ c0_1(X19)
            | c3_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c2_1(X20)
            | c1_1(X20) ) ) )
    & ( hskp15
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c0_1(X21)
            | c2_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c2_1(X22)
            | c1_1(X22) ) ) )
    & ( hskp13
      | hskp30
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c0_1(X23)
            | c1_1(X23) ) ) )
    & ( hskp21
      | ! [X24] :
          ( ndr1_0
         => ( ~ c2_1(X24)
            | ~ c1_1(X24)
            | c3_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | ~ c0_1(X25)
            | c1_1(X25) ) ) )
    & ( hskp14
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c1_1(X26)
            | c2_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c0_1(X27)
            | c1_1(X27) ) ) )
    & ( hskp22
      | ! [X28] :
          ( ndr1_0
         => ( ~ c1_1(X28)
            | ~ c0_1(X28)
            | c2_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | ~ c0_1(X29)
            | c1_1(X29) ) ) )
    & ( hskp6
      | hskp10
      | ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | ~ c0_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp1
      | hskp14
      | ! [X31] :
          ( ndr1_0
         => ( ~ c2_1(X31)
            | ~ c0_1(X31)
            | c1_1(X31) ) ) )
    & ( hskp1
      | ! [X32] :
          ( ndr1_0
         => ( ~ c2_1(X32)
            | ~ c1_1(X32)
            | c3_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c2_1(X33)
            | ~ c0_1(X33)
            | c1_1(X33) ) ) )
    & ( ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | ~ c2_1(X34)
            | ~ c1_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c2_1(X35)
            | ~ c0_1(X35)
            | c3_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c2_1(X36)
            | ~ c0_1(X36)
            | c1_1(X36) ) ) )
    & ( hskp21
      | ! [X37] :
          ( ndr1_0
         => ( ~ c1_1(X37)
            | ~ c0_1(X37)
            | c2_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c2_1(X38)
            | ~ c0_1(X38)
            | c1_1(X38) ) ) )
    & ( hskp20
      | ! [X39] :
          ( ndr1_0
         => ( ~ c1_1(X39)
            | c3_1(X39)
            | c2_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c2_1(X40)
            | ~ c0_1(X40)
            | c1_1(X40) ) ) )
    & ( hskp19
      | ! [X41] :
          ( ndr1_0
         => ( ~ c0_1(X41)
            | c3_1(X41)
            | c2_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c2_1(X42)
            | ~ c0_1(X42)
            | c1_1(X42) ) ) )
    & ( hskp18
      | hskp8
      | ! [X43] :
          ( ndr1_0
         => ( ~ c2_1(X43)
            | c3_1(X43)
            | c1_1(X43) ) ) )
    & ( hskp17
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c0_1(X44)
            | c2_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c0_1(X45)
            | c3_1(X45)
            | c1_1(X45) ) ) )
    & ( ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | ~ c1_1(X46)
            | ~ c0_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c2_1(X47)
            | ~ c0_1(X47)
            | c1_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c0_1(X48)
            | c3_1(X48)
            | c1_1(X48) ) ) )
    & ( hskp6
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c2_1(X49)
            | ~ c0_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | c2_1(X50)
            | c1_1(X50) ) ) )
    & ( hskp1
      | hskp11
      | ! [X51] :
          ( ndr1_0
         => ( ~ c0_1(X51)
            | c2_1(X51)
            | c1_1(X51) ) ) )
    & ( hskp16
      | ! [X52] :
          ( ndr1_0
         => ( ~ c1_1(X52)
            | c3_1(X52)
            | c2_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c0_1(X53)
            | c2_1(X53)
            | c1_1(X53) ) ) )
    & ( hskp15
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c2_1(X54)
            | ~ c0_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c3_1(X55)
            | c2_1(X55)
            | c1_1(X55) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c0_1(X56)
            | c2_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | c2_1(X57)
            | c1_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c2_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp28
      | hskp1
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c1_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp31
      | ! [X60] :
          ( ndr1_0
         => ( ~ c0_1(X60)
            | c3_1(X60)
            | c1_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | ~ c1_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp5
      | hskp14
      | ! [X62] :
          ( ndr1_0
         => ( ~ c2_1(X62)
            | ~ c1_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp10
      | ! [X63] :
          ( ndr1_0
         => ( ~ c1_1(X63)
            | ~ c0_1(X63)
            | c2_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c2_1(X64)
            | ~ c1_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp14
      | ! [X65] :
          ( ndr1_0
         => ( ~ c1_1(X65)
            | c3_1(X65)
            | c2_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c2_1(X66)
            | ~ c1_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp2
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | ~ c0_1(X67)
            | c1_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | ~ c1_1(X68)
            | c0_1(X68) ) ) )
    & ( ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | ~ c0_1(X69)
            | c1_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | ~ c2_1(X70)
            | c0_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c2_1(X71)
            | ~ c1_1(X71)
            | c0_1(X71) ) ) )
    & ( hskp13
      | ! [X72] :
          ( ndr1_0
         => ( ~ c3_1(X72)
            | ~ c0_1(X72)
            | c2_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c1_1(X73)
            | c3_1(X73)
            | c0_1(X73) ) ) )
    & ( hskp3
      | hskp12
      | ! [X74] :
          ( ndr1_0
         => ( ~ c3_1(X74)
            | c2_1(X74)
            | c0_1(X74) ) ) )
    & ( hskp11
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | ~ c2_1(X75)
            | ~ c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | c2_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp4
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | ~ c2_1(X77)
            | ~ c0_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | c2_1(X78)
            | c0_1(X78) ) ) )
    & ( hskp3
      | ! [X79] :
          ( ndr1_0
         => ( ~ c0_1(X79)
            | c2_1(X79)
            | c1_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | c2_1(X80)
            | c0_1(X80) ) ) )
    & ( hskp4
      | hskp10
      | ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | c2_1(X81)
            | c0_1(X81) ) ) )
    & ( hskp9
      | ! [X82] :
          ( ndr1_0
         => ( ~ c2_1(X82)
            | c3_1(X82)
            | c1_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | c2_1(X83)
            | c0_1(X83) ) ) )
    & ( ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | ~ c2_1(X84)
            | ~ c1_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | c2_1(X85)
            | c0_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | c2_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp8
      | hskp30
      | ! [X87] :
          ( ndr1_0
         => ( c3_1(X87)
            | c2_1(X87)
            | c0_1(X87) ) ) )
    & ( hskp7
      | ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | ~ c0_1(X88)
            | c2_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( c3_1(X89)
            | c2_1(X89)
            | c0_1(X89) ) ) )
    & ( ! [X90] :
          ( ndr1_0
         => ( ~ c0_1(X90)
            | c3_1(X90)
            | c2_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c0_1(X91)
            | c3_1(X91)
            | c1_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( c3_1(X92)
            | c2_1(X92)
            | c0_1(X92) ) ) )
    & ( hskp29
      | ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | ~ c1_1(X93)
            | c0_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | c2_1(X94)
            | c0_1(X94) ) ) )
    & ( ! [X95] :
          ( ndr1_0
         => ( ~ c0_1(X95)
            | c3_1(X95)
            | c1_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c2_1(X96)
            | c3_1(X96)
            | c0_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( c3_1(X97)
            | c2_1(X97)
            | c0_1(X97) ) ) )
    & ( hskp6
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | c2_1(X98)
            | c0_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( c3_1(X99)
            | c2_1(X99)
            | c0_1(X99) ) ) )
    & ( ! [X100] :
          ( ndr1_0
         => ( ~ c2_1(X100)
            | ~ c0_1(X100)
            | c3_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c1_1(X101)
            | ~ c0_1(X101)
            | c3_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | c1_1(X102)
            | c0_1(X102) ) ) )
    & ( ! [X103] :
          ( ndr1_0
         => ( ~ c2_1(X103)
            | ~ c0_1(X103)
            | c1_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( ~ c0_1(X104)
            | c2_1(X104)
            | c1_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | c1_1(X105)
            | c0_1(X105) ) ) )
    & ( ! [X106] :
          ( ndr1_0
         => ( ~ c2_1(X106)
            | ~ c1_1(X106)
            | ~ c0_1(X106) ) )
      | ! [X107] :
          ( ndr1_0
         => ( c3_1(X107)
            | c2_1(X107)
            | c1_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c3_1(X108)
            | c1_1(X108)
            | c0_1(X108) ) ) )
    & ( hskp28
      | ! [X109] :
          ( ndr1_0
         => ( ~ c3_1(X109)
            | ~ c1_1(X109)
            | c2_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( ~ c2_1(X110)
            | c1_1(X110)
            | c0_1(X110) ) ) )
    & ( hskp4
      | ! [X111] :
          ( ndr1_0
         => ( c3_1(X111)
            | c2_1(X111)
            | c1_1(X111) ) )
      | ! [X112] :
          ( ndr1_0
         => ( ~ c2_1(X112)
            | c1_1(X112)
            | c0_1(X112) ) ) )
    & ( hskp3
      | ! [X113] :
          ( ndr1_0
         => ( ~ c3_1(X113)
            | ~ c1_1(X113)
            | ~ c0_1(X113) ) )
      | ! [X114] :
          ( ndr1_0
         => ( c3_1(X114)
            | c1_1(X114)
            | c0_1(X114) ) ) )
    & ( hskp5
      | ! [X115] :
          ( ndr1_0
         => ( ~ c1_1(X115)
            | ~ c0_1(X115)
            | c3_1(X115) ) )
      | ! [X116] :
          ( ndr1_0
         => ( c3_1(X116)
            | c1_1(X116)
            | c0_1(X116) ) ) )
    & ( hskp4
      | ! [X117] :
          ( ndr1_0
         => ( ~ c3_1(X117)
            | ~ c2_1(X117)
            | c0_1(X117) ) )
      | ! [X118] :
          ( ndr1_0
         => ( c3_1(X118)
            | c1_1(X118)
            | c0_1(X118) ) ) )
    & ( hskp0
      | hskp3
      | ! [X119] :
          ( ndr1_0
         => ( c2_1(X119)
            | c1_1(X119)
            | c0_1(X119) ) ) )
    & ( hskp2
      | hskp1
      | ! [X120] :
          ( ndr1_0
         => ( c2_1(X120)
            | c1_1(X120)
            | c0_1(X120) ) ) )
    & ( hskp0
      | ! [X121] :
          ( ndr1_0
         => ( ~ c3_1(X121)
            | ~ c2_1(X121)
            | c1_1(X121) ) )
      | ! [X122] :
          ( ndr1_0
         => ( c2_1(X122)
            | c1_1(X122)
            | c0_1(X122) ) ) )
    & ( ! [X123] :
          ( ndr1_0
         => ( ~ c2_1(X123)
            | ~ c1_1(X123)
            | ~ c0_1(X123) ) )
      | ! [X124] :
          ( ndr1_0
         => ( ~ c2_1(X124)
            | c3_1(X124)
            | c0_1(X124) ) )
      | ! [X125] :
          ( ndr1_0
         => ( c2_1(X125)
            | c1_1(X125)
            | c0_1(X125) ) ) )
    & ( ( c3_1(a1562)
        & c2_1(a1562)
        & c0_1(a1562)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a1546)
        & c1_1(a1546)
        & c0_1(a1546)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a1544)
        & c1_1(a1544)
        & c0_1(a1544)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a1542)
        & c2_1(a1542)
        & c1_1(a1542)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c2_1(a1632)
        & ~ c1_1(a1632)
        & ~ c0_1(a1632)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a1624)
        & ~ c2_1(a1624)
        & ~ c0_1(a1624)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a1612)
        & ~ c0_1(a1612)
        & c3_1(a1612)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a1600)
        & ~ c2_1(a1600)
        & c0_1(a1600)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a1593)
        & c3_1(a1593)
        & c0_1(a1593)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a1581)
        & ~ c1_1(a1581)
        & c2_1(a1581)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a1575)
        & ~ c0_1(a1575)
        & c2_1(a1575)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a1574)
        & c3_1(a1574)
        & c1_1(a1574)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a1573)
        & ~ c1_1(a1573)
        & c0_1(a1573)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a1572)
        & c3_1(a1572)
        & c2_1(a1572)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a1570)
        & ~ c0_1(a1570)
        & c3_1(a1570)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a1566)
        & c3_1(a1566)
        & c2_1(a1566)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a1565)
        & ~ c2_1(a1565)
        & c1_1(a1565)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a1558)
        & c1_1(a1558)
        & c0_1(a1558)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a1556)
        & c2_1(a1556)
        & c1_1(a1556)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a1554)
        & c2_1(a1554)
        & c1_1(a1554)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a1553)
        & c2_1(a1553)
        & c0_1(a1553)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a1549)
        & c3_1(a1549)
        & c0_1(a1549)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a1548)
        & ~ c1_1(a1548)
        & ~ c0_1(a1548)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a1547)
        & c1_1(a1547)
        & c0_1(a1547)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a1545)
        & ~ c0_1(a1545)
        & c2_1(a1545)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a1543)
        & ~ c1_1(a1543)
        & c0_1(a1543)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a1539)
        & c3_1(a1539)
        & c1_1(a1539)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a1538)
        & ~ c2_1(a1538)
        & ~ c1_1(a1538)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a1536)
        & ~ c0_1(a1536)
        & c1_1(a1536)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a1535)
        & ~ c1_1(a1535)
        & c3_1(a1535)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a1534)
        & c2_1(a1534)
        & c0_1(a1534)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a1533)
        & ~ c0_1(a1533)
        & c1_1(a1533)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp9
          | hskp27
          | hskp5 )
        & ( hskp26
          | hskp3
          | hskp23 )
        & ( hskp3
          | hskp12
          | hskp10 )
        & ( hskp26
          | hskp15
          | hskp1 )
        & ( hskp7
          | hskp15
          | hskp31 )
        & ( hskp15
          | hskp20
          | hskp14 )
        & ( hskp4
          | hskp1
          | hskp14 )
        & ( hskp25
          | hskp19
          | hskp29 )
        & ( hskp22
          | hskp14
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp10
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c1_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp7
          | hskp31
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp21
          | hskp20
          | ! [X3] :
              ( ndr1_0
             => ( ~ c1_1(X3)
                | ~ c0_1(X3)
                | c3_1(X3) ) ) )
        & ( hskp23
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c2_1(X4)
                | ~ c1_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | ~ c0_1(X5)
                | c3_1(X5) ) ) )
        & ( hskp5
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c1_1(X6)
                | ~ c0_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c1_1(X7)
                | c2_1(X7) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c2_1(X8)
                | ~ c1_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c1_1(X9)
                | ~ c0_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c1_1(X10)
                | c2_1(X10) ) ) )
        & ( hskp24
          | hskp19
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | c3_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp15
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c1_1(X12)
                | ~ c0_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | c3_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp15
          | hskp28
          | ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | c3_1(X14)
                | c2_1(X14) ) ) )
        & ( hskp13
          | hskp19
          | ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | c3_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp23
          | hskp8
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) ) )
        & ( hskp3
          | hskp19
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c2_1(X17)
                | c1_1(X17) ) ) )
        & ( hskp3
          | hskp31
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c2_1(X18)
                | c1_1(X18) ) ) )
        & ( hskp19
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c0_1(X19)
                | c3_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c2_1(X20)
                | c1_1(X20) ) ) )
        & ( hskp15
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c0_1(X21)
                | c2_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | c1_1(X22) ) ) )
        & ( hskp13
          | hskp30
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c0_1(X23)
                | c1_1(X23) ) ) )
        & ( hskp21
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | ~ c1_1(X24)
                | c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c0_1(X25)
                | c1_1(X25) ) ) )
        & ( hskp14
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c1_1(X26)
                | c2_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c0_1(X27)
                | c1_1(X27) ) ) )
        & ( hskp22
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | ~ c0_1(X28)
                | c2_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c0_1(X29)
                | c1_1(X29) ) ) )
        & ( hskp6
          | hskp10
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | ~ c0_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp1
          | hskp14
          | ! [X31] :
              ( ndr1_0
             => ( ~ c2_1(X31)
                | ~ c0_1(X31)
                | c1_1(X31) ) ) )
        & ( hskp1
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | ~ c1_1(X32)
                | c3_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | ~ c0_1(X33)
                | c1_1(X33) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c2_1(X34)
                | ~ c1_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | ~ c0_1(X35)
                | c3_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c0_1(X36)
                | c1_1(X36) ) ) )
        & ( hskp21
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | ~ c0_1(X37)
                | c2_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | ~ c0_1(X38)
                | c1_1(X38) ) ) )
        & ( hskp20
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c3_1(X39)
                | c2_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | ~ c0_1(X40)
                | c1_1(X40) ) ) )
        & ( hskp19
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | c3_1(X41)
                | c2_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c0_1(X42)
                | c1_1(X42) ) ) )
        & ( hskp18
          | hskp8
          | ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | c3_1(X43)
                | c1_1(X43) ) ) )
        & ( hskp17
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c0_1(X44)
                | c2_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c0_1(X45)
                | c3_1(X45)
                | c1_1(X45) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c1_1(X46)
                | ~ c0_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | ~ c0_1(X47)
                | c1_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c0_1(X48)
                | c3_1(X48)
                | c1_1(X48) ) ) )
        & ( hskp6
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c2_1(X49)
                | ~ c0_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) ) )
        & ( hskp1
          | hskp11
          | ! [X51] :
              ( ndr1_0
             => ( ~ c0_1(X51)
                | c2_1(X51)
                | c1_1(X51) ) ) )
        & ( hskp16
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c3_1(X52)
                | c2_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c0_1(X53)
                | c2_1(X53)
                | c1_1(X53) ) ) )
        & ( hskp15
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c2_1(X54)
                | ~ c0_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c3_1(X55)
                | c2_1(X55)
                | c1_1(X55) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c0_1(X56)
                | c2_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | c2_1(X57)
                | c1_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp28
          | hskp1
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp31
          | ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | c3_1(X60)
                | c1_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp5
          | hskp14
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp10
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | ~ c0_1(X63)
                | c2_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp14
          | ! [X65] :
              ( ndr1_0
             => ( ~ c1_1(X65)
                | c3_1(X65)
                | c2_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | ~ c1_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp2
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c0_1(X67)
                | c1_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c1_1(X68)
                | c0_1(X68) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c0_1(X69)
                | c1_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c2_1(X70)
                | c0_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | ~ c1_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp13
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c0_1(X72)
                | c2_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | c3_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp3
          | hskp12
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | c2_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp11
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c2_1(X75)
                | ~ c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c2_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp4
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c2_1(X77)
                | ~ c0_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c2_1(X78)
                | c0_1(X78) ) ) )
        & ( hskp3
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c2_1(X79)
                | c1_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c0_1(X80) ) ) )
        & ( hskp4
          | hskp10
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | c2_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp9
          | ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | c3_1(X82)
                | c1_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | c2_1(X83)
                | c0_1(X83) ) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c2_1(X84)
                | ~ c1_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | c2_1(X85)
                | c0_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c2_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp8
          | hskp30
          | ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | c2_1(X87)
                | c0_1(X87) ) ) )
        & ( hskp7
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c0_1(X88)
                | c2_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | c2_1(X89)
                | c0_1(X89) ) ) )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | c3_1(X90)
                | c2_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | c3_1(X91)
                | c1_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( c3_1(X92)
                | c2_1(X92)
                | c0_1(X92) ) ) )
        & ( hskp29
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c1_1(X93)
                | c0_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | c2_1(X94)
                | c0_1(X94) ) ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c0_1(X95)
                | c3_1(X95)
                | c1_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | c3_1(X96)
                | c0_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( c3_1(X97)
                | c2_1(X97)
                | c0_1(X97) ) ) )
        & ( hskp6
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | c2_1(X98)
                | c0_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( c3_1(X99)
                | c2_1(X99)
                | c0_1(X99) ) ) )
        & ( ! [X100] :
              ( ndr1_0
             => ( ~ c2_1(X100)
                | ~ c0_1(X100)
                | c3_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | ~ c0_1(X101)
                | c3_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | c1_1(X102)
                | c0_1(X102) ) ) )
        & ( ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | ~ c0_1(X103)
                | c1_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | c2_1(X104)
                | c1_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | c1_1(X105)
                | c0_1(X105) ) ) )
        & ( ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | ~ c1_1(X106)
                | ~ c0_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( c3_1(X107)
                | c2_1(X107)
                | c1_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | c1_1(X108)
                | c0_1(X108) ) ) )
        & ( hskp28
          | ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | ~ c1_1(X109)
                | c2_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | c1_1(X110)
                | c0_1(X110) ) ) )
        & ( hskp4
          | ! [X111] :
              ( ndr1_0
             => ( c3_1(X111)
                | c2_1(X111)
                | c1_1(X111) ) )
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | c1_1(X112)
                | c0_1(X112) ) ) )
        & ( hskp3
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c1_1(X113)
                | ~ c0_1(X113) ) )
          | ! [X114] :
              ( ndr1_0
             => ( c3_1(X114)
                | c1_1(X114)
                | c0_1(X114) ) ) )
        & ( hskp5
          | ! [X115] :
              ( ndr1_0
             => ( ~ c1_1(X115)
                | ~ c0_1(X115)
                | c3_1(X115) ) )
          | ! [X116] :
              ( ndr1_0
             => ( c3_1(X116)
                | c1_1(X116)
                | c0_1(X116) ) ) )
        & ( hskp4
          | ! [X117] :
              ( ndr1_0
             => ( ~ c3_1(X117)
                | ~ c2_1(X117)
                | c0_1(X117) ) )
          | ! [X118] :
              ( ndr1_0
             => ( c3_1(X118)
                | c1_1(X118)
                | c0_1(X118) ) ) )
        & ( hskp0
          | hskp3
          | ! [X119] :
              ( ndr1_0
             => ( c2_1(X119)
                | c1_1(X119)
                | c0_1(X119) ) ) )
        & ( hskp2
          | hskp1
          | ! [X120] :
              ( ndr1_0
             => ( c2_1(X120)
                | c1_1(X120)
                | c0_1(X120) ) ) )
        & ( hskp0
          | ! [X121] :
              ( ndr1_0
             => ( ~ c3_1(X121)
                | ~ c2_1(X121)
                | c1_1(X121) ) )
          | ! [X122] :
              ( ndr1_0
             => ( c2_1(X122)
                | c1_1(X122)
                | c0_1(X122) ) ) )
        & ( ! [X123] :
              ( ndr1_0
             => ( ~ c2_1(X123)
                | ~ c1_1(X123)
                | ~ c0_1(X123) ) )
          | ! [X124] :
              ( ndr1_0
             => ( ~ c2_1(X124)
                | c3_1(X124)
                | c0_1(X124) ) )
          | ! [X125] :
              ( ndr1_0
             => ( c2_1(X125)
                | c1_1(X125)
                | c0_1(X125) ) ) )
        & ( ( c3_1(a1562)
            & c2_1(a1562)
            & c0_1(a1562)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a1546)
            & c1_1(a1546)
            & c0_1(a1546)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a1544)
            & c1_1(a1544)
            & c0_1(a1544)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a1542)
            & c2_1(a1542)
            & c1_1(a1542)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c2_1(a1632)
            & ~ c1_1(a1632)
            & ~ c0_1(a1632)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a1624)
            & ~ c2_1(a1624)
            & ~ c0_1(a1624)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a1612)
            & ~ c0_1(a1612)
            & c3_1(a1612)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a1600)
            & ~ c2_1(a1600)
            & c0_1(a1600)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a1593)
            & c3_1(a1593)
            & c0_1(a1593)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a1581)
            & ~ c1_1(a1581)
            & c2_1(a1581)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a1575)
            & ~ c0_1(a1575)
            & c2_1(a1575)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a1574)
            & c3_1(a1574)
            & c1_1(a1574)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a1573)
            & ~ c1_1(a1573)
            & c0_1(a1573)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c0_1(a1572)
            & c3_1(a1572)
            & c2_1(a1572)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a1570)
            & ~ c0_1(a1570)
            & c3_1(a1570)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a1566)
            & c3_1(a1566)
            & c2_1(a1566)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a1565)
            & ~ c2_1(a1565)
            & c1_1(a1565)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a1558)
            & c1_1(a1558)
            & c0_1(a1558)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a1556)
            & c2_1(a1556)
            & c1_1(a1556)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c0_1(a1554)
            & c2_1(a1554)
            & c1_1(a1554)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a1553)
            & c2_1(a1553)
            & c0_1(a1553)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a1549)
            & c3_1(a1549)
            & c0_1(a1549)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a1548)
            & ~ c1_1(a1548)
            & ~ c0_1(a1548)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a1547)
            & c1_1(a1547)
            & c0_1(a1547)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a1545)
            & ~ c0_1(a1545)
            & c2_1(a1545)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a1543)
            & ~ c1_1(a1543)
            & c0_1(a1543)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a1539)
            & c3_1(a1539)
            & c1_1(a1539)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a1538)
            & ~ c2_1(a1538)
            & ~ c1_1(a1538)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a1536)
            & ~ c0_1(a1536)
            & c1_1(a1536)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a1535)
            & ~ c1_1(a1535)
            & c3_1(a1535)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a1534)
            & c2_1(a1534)
            & c0_1(a1534)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a1533)
            & ~ c0_1(a1533)
            & c1_1(a1533)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp9
          | hskp27
          | hskp5 )
        & ( hskp26
          | hskp3
          | hskp23 )
        & ( hskp3
          | hskp12
          | hskp10 )
        & ( hskp26
          | hskp15
          | hskp1 )
        & ( hskp7
          | hskp15
          | hskp31 )
        & ( hskp15
          | hskp20
          | hskp14 )
        & ( hskp4
          | hskp1
          | hskp14 )
        & ( hskp25
          | hskp19
          | hskp29 )
        & ( hskp22
          | hskp14
          | ! [X125] :
              ( ndr1_0
             => ( ~ c3_1(X125)
                | ~ c2_1(X125)
                | ~ c1_1(X125) ) ) )
        & ( hskp10
          | ! [X124] :
              ( ndr1_0
             => ( ~ c3_1(X124)
                | ~ c1_1(X124)
                | ~ c0_1(X124) ) ) )
        & ( hskp7
          | hskp31
          | ! [X123] :
              ( ndr1_0
             => ( ~ c2_1(X123)
                | ~ c1_1(X123)
                | ~ c0_1(X123) ) ) )
        & ( hskp21
          | hskp20
          | ! [X122] :
              ( ndr1_0
             => ( ~ c1_1(X122)
                | ~ c0_1(X122)
                | c3_1(X122) ) ) )
        & ( hskp23
          | ! [X121] :
              ( ndr1_0
             => ( ~ c3_1(X121)
                | ~ c2_1(X121)
                | ~ c1_1(X121) ) )
          | ! [X120] :
              ( ndr1_0
             => ( ~ c1_1(X120)
                | ~ c0_1(X120)
                | c3_1(X120) ) ) )
        & ( hskp5
          | ! [X119] :
              ( ndr1_0
             => ( ~ c3_1(X119)
                | ~ c1_1(X119)
                | ~ c0_1(X119) ) )
          | ! [X118] :
              ( ndr1_0
             => ( ~ c3_1(X118)
                | ~ c1_1(X118)
                | c2_1(X118) ) ) )
        & ( ! [X117] :
              ( ndr1_0
             => ( ~ c3_1(X117)
                | ~ c2_1(X117)
                | ~ c1_1(X117) ) )
          | ! [X116] :
              ( ndr1_0
             => ( ~ c2_1(X116)
                | ~ c1_1(X116)
                | ~ c0_1(X116) ) )
          | ! [X115] :
              ( ndr1_0
             => ( ~ c3_1(X115)
                | ~ c1_1(X115)
                | c2_1(X115) ) ) )
        & ( hskp24
          | hskp19
          | ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | c3_1(X114)
                | c2_1(X114) ) ) )
        & ( hskp15
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c1_1(X113)
                | ~ c0_1(X113) ) )
          | ! [X112] :
              ( ndr1_0
             => ( ~ c1_1(X112)
                | c3_1(X112)
                | c2_1(X112) ) ) )
        & ( hskp15
          | hskp28
          | ! [X111] :
              ( ndr1_0
             => ( ~ c0_1(X111)
                | c3_1(X111)
                | c2_1(X111) ) ) )
        & ( hskp13
          | hskp19
          | ! [X110] :
              ( ndr1_0
             => ( ~ c0_1(X110)
                | c3_1(X110)
                | c2_1(X110) ) ) )
        & ( hskp23
          | hskp8
          | ! [X109] :
              ( ndr1_0
             => ( ~ c0_1(X109)
                | c3_1(X109)
                | c2_1(X109) ) ) )
        & ( hskp3
          | hskp19
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c2_1(X108)
                | c1_1(X108) ) ) )
        & ( hskp3
          | hskp31
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c2_1(X107)
                | c1_1(X107) ) ) )
        & ( hskp19
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | ~ c0_1(X106)
                | c3_1(X106) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c2_1(X105)
                | c1_1(X105) ) ) )
        & ( hskp15
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c0_1(X104)
                | c2_1(X104) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c2_1(X103)
                | c1_1(X103) ) ) )
        & ( hskp13
          | hskp30
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c0_1(X102)
                | c1_1(X102) ) ) )
        & ( hskp21
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c1_1(X101)
                | c3_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c0_1(X100)
                | c1_1(X100) ) ) )
        & ( hskp14
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c1_1(X99)
                | c2_1(X99) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c0_1(X98)
                | c1_1(X98) ) ) )
        & ( hskp22
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | ~ c0_1(X97)
                | c2_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c1_1(X96) ) ) )
        & ( hskp6
          | hskp10
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c0_1(X95)
                | c1_1(X95) ) ) )
        & ( hskp1
          | hskp14
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | ~ c0_1(X94)
                | c1_1(X94) ) ) )
        & ( hskp1
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | ~ c1_1(X93)
                | c3_1(X93) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | ~ c0_1(X92)
                | c1_1(X92) ) ) )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c2_1(X91)
                | ~ c1_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | ~ c0_1(X90)
                | c3_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c0_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp21
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | ~ c0_1(X88)
                | c2_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c0_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp20
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c3_1(X86)
                | c2_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | ~ c0_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp19
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | c3_1(X84)
                | c2_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c2_1(X83)
                | ~ c0_1(X83)
                | c1_1(X83) ) ) )
        & ( hskp18
          | hskp8
          | ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | c3_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp17
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c0_1(X81)
                | c2_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | c3_1(X80)
                | c1_1(X80) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c1_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | ~ c0_1(X78)
                | c1_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c3_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp6
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c2_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c2_1(X75)
                | c1_1(X75) ) ) )
        & ( hskp1
          | hskp11
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp16
          | ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | c3_1(X73)
                | c2_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp15
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c2_1(X71)
                | ~ c0_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c0_1(X69)
                | c2_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c2_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp28
          | hskp1
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c1_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp31
          | ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | c3_1(X65)
                | c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp5
          | hskp14
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | ~ c1_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp10
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | ~ c0_1(X62)
                | c2_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp14
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | c3_1(X60)
                | c2_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp2
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c0_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c0_1(X56)
                | c1_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | c0_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp13
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c0_1(X53)
                | c2_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c3_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp3
          | hskp12
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | c2_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp11
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c2_1(X50)
                | ~ c1_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | c2_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp4
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c2_1(X48)
                | ~ c0_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | c2_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp3
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | c2_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp4
          | hskp10
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | c2_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp9
          | ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | c3_1(X43)
                | c1_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | c2_1(X42)
                | c0_1(X42) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | ~ c1_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c0_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp8
          | hskp30
          | ! [X38] :
              ( ndr1_0
             => ( c3_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp7
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | ~ c0_1(X37)
                | c2_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c3_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | c3_1(X35)
                | c2_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c3_1(X34)
                | c1_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c3_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp29
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c1_1(X32)
                | c0_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | c3_1(X30)
                | c1_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | c3_1(X29)
                | c0_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c3_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp6
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c3_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | ~ c0_1(X25)
                | c3_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | ~ c0_1(X24)
                | c3_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | c1_1(X23)
                | c0_1(X23) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | ~ c0_1(X22)
                | c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c0_1(X21)
                | c2_1(X21)
                | c1_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c1_1(X19)
                | ~ c0_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) ) ) )
        & ( hskp28
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c1_1(X16)
                | c2_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp4
          | ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | c2_1(X14)
                | c1_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp3
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c1_1(X12)
                | ~ c0_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp5
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | ~ c0_1(X10)
                | c3_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( hskp4
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c2_1(X8)
                | c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp0
          | hskp3
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp2
          | hskp1
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c2_1(X4)
                | c1_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | c3_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a1562)
            & c2_1(a1562)
            & c0_1(a1562)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a1546)
            & c1_1(a1546)
            & c0_1(a1546)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a1544)
            & c1_1(a1544)
            & c0_1(a1544)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a1542)
            & c2_1(a1542)
            & c1_1(a1542)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c2_1(a1632)
            & ~ c1_1(a1632)
            & ~ c0_1(a1632)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a1624)
            & ~ c2_1(a1624)
            & ~ c0_1(a1624)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a1612)
            & ~ c0_1(a1612)
            & c3_1(a1612)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a1600)
            & ~ c2_1(a1600)
            & c0_1(a1600)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a1593)
            & c3_1(a1593)
            & c0_1(a1593)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a1581)
            & ~ c1_1(a1581)
            & c2_1(a1581)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a1575)
            & ~ c0_1(a1575)
            & c2_1(a1575)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a1574)
            & c3_1(a1574)
            & c1_1(a1574)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a1573)
            & ~ c1_1(a1573)
            & c0_1(a1573)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c0_1(a1572)
            & c3_1(a1572)
            & c2_1(a1572)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a1570)
            & ~ c0_1(a1570)
            & c3_1(a1570)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a1566)
            & c3_1(a1566)
            & c2_1(a1566)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a1565)
            & ~ c2_1(a1565)
            & c1_1(a1565)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a1558)
            & c1_1(a1558)
            & c0_1(a1558)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a1556)
            & c2_1(a1556)
            & c1_1(a1556)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c0_1(a1554)
            & c2_1(a1554)
            & c1_1(a1554)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a1553)
            & c2_1(a1553)
            & c0_1(a1553)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a1549)
            & c3_1(a1549)
            & c0_1(a1549)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a1548)
            & ~ c1_1(a1548)
            & ~ c0_1(a1548)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a1547)
            & c1_1(a1547)
            & c0_1(a1547)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a1545)
            & ~ c0_1(a1545)
            & c2_1(a1545)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a1543)
            & ~ c1_1(a1543)
            & c0_1(a1543)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a1539)
            & c3_1(a1539)
            & c1_1(a1539)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a1538)
            & ~ c2_1(a1538)
            & ~ c1_1(a1538)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a1536)
            & ~ c0_1(a1536)
            & c1_1(a1536)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a1535)
            & ~ c1_1(a1535)
            & c3_1(a1535)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a1534)
            & c2_1(a1534)
            & c0_1(a1534)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a1533)
            & ~ c0_1(a1533)
            & c1_1(a1533)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp9
        | hskp27
        | hskp5 )
      & ( hskp26
        | hskp3
        | hskp23 )
      & ( hskp3
        | hskp12
        | hskp10 )
      & ( hskp26
        | hskp15
        | hskp1 )
      & ( hskp7
        | hskp15
        | hskp31 )
      & ( hskp15
        | hskp20
        | hskp14 )
      & ( hskp4
        | hskp1
        | hskp14 )
      & ( hskp25
        | hskp19
        | hskp29 )
      & ( hskp22
        | hskp14
        | ! [X125] :
            ( ndr1_0
           => ( ~ c3_1(X125)
              | ~ c2_1(X125)
              | ~ c1_1(X125) ) ) )
      & ( hskp10
        | ! [X124] :
            ( ndr1_0
           => ( ~ c3_1(X124)
              | ~ c1_1(X124)
              | ~ c0_1(X124) ) ) )
      & ( hskp7
        | hskp31
        | ! [X123] :
            ( ndr1_0
           => ( ~ c2_1(X123)
              | ~ c1_1(X123)
              | ~ c0_1(X123) ) ) )
      & ( hskp21
        | hskp20
        | ! [X122] :
            ( ndr1_0
           => ( ~ c1_1(X122)
              | ~ c0_1(X122)
              | c3_1(X122) ) ) )
      & ( hskp23
        | ! [X121] :
            ( ndr1_0
           => ( ~ c3_1(X121)
              | ~ c2_1(X121)
              | ~ c1_1(X121) ) )
        | ! [X120] :
            ( ndr1_0
           => ( ~ c1_1(X120)
              | ~ c0_1(X120)
              | c3_1(X120) ) ) )
      & ( hskp5
        | ! [X119] :
            ( ndr1_0
           => ( ~ c3_1(X119)
              | ~ c1_1(X119)
              | ~ c0_1(X119) ) )
        | ! [X118] :
            ( ndr1_0
           => ( ~ c3_1(X118)
              | ~ c1_1(X118)
              | c2_1(X118) ) ) )
      & ( ! [X117] :
            ( ndr1_0
           => ( ~ c3_1(X117)
              | ~ c2_1(X117)
              | ~ c1_1(X117) ) )
        | ! [X116] :
            ( ndr1_0
           => ( ~ c2_1(X116)
              | ~ c1_1(X116)
              | ~ c0_1(X116) ) )
        | ! [X115] :
            ( ndr1_0
           => ( ~ c3_1(X115)
              | ~ c1_1(X115)
              | c2_1(X115) ) ) )
      & ( hskp24
        | hskp19
        | ! [X114] :
            ( ndr1_0
           => ( ~ c1_1(X114)
              | c3_1(X114)
              | c2_1(X114) ) ) )
      & ( hskp15
        | ! [X113] :
            ( ndr1_0
           => ( ~ c3_1(X113)
              | ~ c1_1(X113)
              | ~ c0_1(X113) ) )
        | ! [X112] :
            ( ndr1_0
           => ( ~ c1_1(X112)
              | c3_1(X112)
              | c2_1(X112) ) ) )
      & ( hskp15
        | hskp28
        | ! [X111] :
            ( ndr1_0
           => ( ~ c0_1(X111)
              | c3_1(X111)
              | c2_1(X111) ) ) )
      & ( hskp13
        | hskp19
        | ! [X110] :
            ( ndr1_0
           => ( ~ c0_1(X110)
              | c3_1(X110)
              | c2_1(X110) ) ) )
      & ( hskp23
        | hskp8
        | ! [X109] :
            ( ndr1_0
           => ( ~ c0_1(X109)
              | c3_1(X109)
              | c2_1(X109) ) ) )
      & ( hskp3
        | hskp19
        | ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c2_1(X108)
              | c1_1(X108) ) ) )
      & ( hskp3
        | hskp31
        | ! [X107] :
            ( ndr1_0
           => ( ~ c3_1(X107)
              | ~ c2_1(X107)
              | c1_1(X107) ) ) )
      & ( hskp19
        | ! [X106] :
            ( ndr1_0
           => ( ~ c2_1(X106)
              | ~ c0_1(X106)
              | c3_1(X106) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c2_1(X105)
              | c1_1(X105) ) ) )
      & ( hskp15
        | ! [X104] :
            ( ndr1_0
           => ( ~ c3_1(X104)
              | ~ c0_1(X104)
              | c2_1(X104) ) )
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c2_1(X103)
              | c1_1(X103) ) ) )
      & ( hskp13
        | hskp30
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c0_1(X102)
              | c1_1(X102) ) ) )
      & ( hskp21
        | ! [X101] :
            ( ndr1_0
           => ( ~ c2_1(X101)
              | ~ c1_1(X101)
              | c3_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c0_1(X100)
              | c1_1(X100) ) ) )
      & ( hskp14
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c1_1(X99)
              | c2_1(X99) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c0_1(X98)
              | c1_1(X98) ) ) )
      & ( hskp22
        | ! [X97] :
            ( ndr1_0
           => ( ~ c1_1(X97)
              | ~ c0_1(X97)
              | c2_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c0_1(X96)
              | c1_1(X96) ) ) )
      & ( hskp6
        | hskp10
        | ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c0_1(X95)
              | c1_1(X95) ) ) )
      & ( hskp1
        | hskp14
        | ! [X94] :
            ( ndr1_0
           => ( ~ c2_1(X94)
              | ~ c0_1(X94)
              | c1_1(X94) ) ) )
      & ( hskp1
        | ! [X93] :
            ( ndr1_0
           => ( ~ c2_1(X93)
              | ~ c1_1(X93)
              | c3_1(X93) ) )
        | ! [X92] :
            ( ndr1_0
           => ( ~ c2_1(X92)
              | ~ c0_1(X92)
              | c1_1(X92) ) ) )
      & ( ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c2_1(X91)
              | ~ c1_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c2_1(X90)
              | ~ c0_1(X90)
              | c3_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | ~ c0_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp21
        | ! [X88] :
            ( ndr1_0
           => ( ~ c1_1(X88)
              | ~ c0_1(X88)
              | c2_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | ~ c0_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp20
        | ! [X86] :
            ( ndr1_0
           => ( ~ c1_1(X86)
              | c3_1(X86)
              | c2_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c2_1(X85)
              | ~ c0_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp19
        | ! [X84] :
            ( ndr1_0
           => ( ~ c0_1(X84)
              | c3_1(X84)
              | c2_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c2_1(X83)
              | ~ c0_1(X83)
              | c1_1(X83) ) ) )
      & ( hskp18
        | hskp8
        | ! [X82] :
            ( ndr1_0
           => ( ~ c2_1(X82)
              | c3_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp17
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c0_1(X81)
              | c2_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c0_1(X80)
              | c3_1(X80)
              | c1_1(X80) ) ) )
      & ( ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c1_1(X79)
              | ~ c0_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c2_1(X78)
              | ~ c0_1(X78)
              | c1_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | c3_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp6
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c2_1(X76)
              | ~ c0_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | c2_1(X75)
              | c1_1(X75) ) ) )
      & ( hskp1
        | hskp11
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c2_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp16
        | ! [X73] :
            ( ndr1_0
           => ( ~ c1_1(X73)
              | c3_1(X73)
              | c2_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c0_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp15
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c2_1(X71)
              | ~ c0_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c0_1(X69)
              | c2_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c2_1(X67)
              | c0_1(X67) ) ) )
      & ( hskp28
        | hskp1
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c1_1(X66)
              | c0_1(X66) ) ) )
      & ( hskp31
        | ! [X65] :
            ( ndr1_0
           => ( ~ c0_1(X65)
              | c3_1(X65)
              | c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c1_1(X64)
              | c0_1(X64) ) ) )
      & ( hskp5
        | hskp14
        | ! [X63] :
            ( ndr1_0
           => ( ~ c2_1(X63)
              | ~ c1_1(X63)
              | c0_1(X63) ) ) )
      & ( hskp10
        | ! [X62] :
            ( ndr1_0
           => ( ~ c1_1(X62)
              | ~ c0_1(X62)
              | c2_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c2_1(X61)
              | ~ c1_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp14
        | ! [X60] :
            ( ndr1_0
           => ( ~ c1_1(X60)
              | c3_1(X60)
              | c2_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c2_1(X59)
              | ~ c1_1(X59)
              | c0_1(X59) ) ) )
      & ( hskp2
        | ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | ~ c0_1(X58)
              | c1_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | ~ c1_1(X57)
              | c0_1(X57) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c0_1(X56)
              | c1_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c2_1(X55)
              | c0_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | ~ c1_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp13
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | ~ c0_1(X53)
              | c2_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | c3_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp3
        | hskp12
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | c2_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp11
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | ~ c2_1(X50)
              | ~ c1_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | c2_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp4
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | ~ c2_1(X48)
              | ~ c0_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | c2_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp3
        | ! [X46] :
            ( ndr1_0
           => ( ~ c0_1(X46)
              | c2_1(X46)
              | c1_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | c2_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp4
        | hskp10
        | ! [X44] :
            ( ndr1_0
           => ( ~ c1_1(X44)
              | c2_1(X44)
              | c0_1(X44) ) ) )
      & ( hskp9
        | ! [X43] :
            ( ndr1_0
           => ( ~ c2_1(X43)
              | c3_1(X43)
              | c1_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c1_1(X42)
              | c2_1(X42)
              | c0_1(X42) ) ) )
      & ( ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | ~ c2_1(X41)
              | ~ c1_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | c2_1(X40)
              | c0_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp8
        | hskp30
        | ! [X38] :
            ( ndr1_0
           => ( c3_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp7
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | ~ c0_1(X37)
              | c2_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c3_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( ~ c0_1(X35)
              | c3_1(X35)
              | c2_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c0_1(X34)
              | c3_1(X34)
              | c1_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c3_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp29
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | ~ c1_1(X32)
              | c0_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( ~ c0_1(X30)
              | c3_1(X30)
              | c1_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c2_1(X29)
              | c3_1(X29)
              | c0_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c3_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp6
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c3_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) ) )
      & ( ! [X25] :
            ( ndr1_0
           => ( ~ c2_1(X25)
              | ~ c0_1(X25)
              | c3_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c1_1(X24)
              | ~ c0_1(X24)
              | c3_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | c1_1(X23)
              | c0_1(X23) ) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( ~ c2_1(X22)
              | ~ c0_1(X22)
              | c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c0_1(X21)
              | c2_1(X21)
              | c1_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | ~ c1_1(X19)
              | ~ c0_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) ) ) )
      & ( hskp28
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | ~ c1_1(X16)
              | c2_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c2_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp4
        | ! [X14] :
            ( ndr1_0
           => ( c3_1(X14)
              | c2_1(X14)
              | c1_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( hskp3
        | ! [X12] :
            ( ndr1_0
           => ( ~ c3_1(X12)
              | ~ c1_1(X12)
              | ~ c0_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp5
        | ! [X10] :
            ( ndr1_0
           => ( ~ c1_1(X10)
              | ~ c0_1(X10)
              | c3_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( hskp4
        | ! [X8] :
            ( ndr1_0
           => ( ~ c3_1(X8)
              | ~ c2_1(X8)
              | c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp0
        | hskp3
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp2
        | hskp1
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp0
        | ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | ~ c2_1(X4)
              | c1_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c2_1(X2)
              | ~ c1_1(X2)
              | ~ c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | c3_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a1562)
          & c2_1(a1562)
          & c0_1(a1562)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c3_1(a1546)
          & c1_1(a1546)
          & c0_1(a1546)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c2_1(a1544)
          & c1_1(a1544)
          & c0_1(a1544)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a1542)
          & c2_1(a1542)
          & c1_1(a1542)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c2_1(a1632)
          & ~ c1_1(a1632)
          & ~ c0_1(a1632)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a1624)
          & ~ c2_1(a1624)
          & ~ c0_1(a1624)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c2_1(a1612)
          & ~ c0_1(a1612)
          & c3_1(a1612)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a1600)
          & ~ c2_1(a1600)
          & c0_1(a1600)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c2_1(a1593)
          & c3_1(a1593)
          & c0_1(a1593)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a1581)
          & ~ c1_1(a1581)
          & c2_1(a1581)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c1_1(a1575)
          & ~ c0_1(a1575)
          & c2_1(a1575)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a1574)
          & c3_1(a1574)
          & c1_1(a1574)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a1573)
          & ~ c1_1(a1573)
          & c0_1(a1573)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c0_1(a1572)
          & c3_1(a1572)
          & c2_1(a1572)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c1_1(a1570)
          & ~ c0_1(a1570)
          & c3_1(a1570)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c1_1(a1566)
          & c3_1(a1566)
          & c2_1(a1566)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a1565)
          & ~ c2_1(a1565)
          & c1_1(a1565)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a1558)
          & c1_1(a1558)
          & c0_1(a1558)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a1556)
          & c2_1(a1556)
          & c1_1(a1556)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c0_1(a1554)
          & c2_1(a1554)
          & c1_1(a1554)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c1_1(a1553)
          & c2_1(a1553)
          & c0_1(a1553)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c1_1(a1549)
          & c3_1(a1549)
          & c0_1(a1549)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a1548)
          & ~ c1_1(a1548)
          & ~ c0_1(a1548)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a1547)
          & c1_1(a1547)
          & c0_1(a1547)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a1545)
          & ~ c0_1(a1545)
          & c2_1(a1545)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a1543)
          & ~ c1_1(a1543)
          & c0_1(a1543)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c0_1(a1539)
          & c3_1(a1539)
          & c1_1(a1539)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a1538)
          & ~ c2_1(a1538)
          & ~ c1_1(a1538)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a1536)
          & ~ c0_1(a1536)
          & c1_1(a1536)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c2_1(a1535)
          & ~ c1_1(a1535)
          & c3_1(a1535)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a1534)
          & c2_1(a1534)
          & c0_1(a1534)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a1533)
          & ~ c0_1(a1533)
          & c1_1(a1533)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f1055,plain,
    ( ~ spl0_9
    | spl0_158 ),
    inference(avatar_split_clause,[],[f12,f1052,f293]) ).

fof(f12,plain,
    ( c0_1(a1534)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1050,plain,
    ( ~ spl0_9
    | spl0_157 ),
    inference(avatar_split_clause,[],[f13,f1047,f293]) ).

fof(f13,plain,
    ( c2_1(a1534)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1045,plain,
    ( ~ spl0_9
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f14,f1042,f293]) ).

fof(f14,plain,
    ( ~ c3_1(a1534)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1024,plain,
    ( ~ spl0_5
    | spl0_19 ),
    inference(avatar_split_clause,[],[f19,f338,f275]) ).

fof(f275,plain,
    ( spl0_5
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f19,plain,
    ( ndr1_0
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1023,plain,
    ( ~ spl0_5
    | spl0_152 ),
    inference(avatar_split_clause,[],[f20,f1020,f275]) ).

fof(f20,plain,
    ( c1_1(a1536)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1018,plain,
    ( ~ spl0_5
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f21,f1015,f275]) ).

fof(f21,plain,
    ( ~ c0_1(a1536)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1013,plain,
    ( ~ spl0_5
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f22,f1010,f275]) ).

fof(f22,plain,
    ( ~ c2_1(a1536)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1007,plain,
    ( ~ spl0_15
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f24,f1004,f320]) ).

fof(f320,plain,
    ( spl0_15
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f24,plain,
    ( ~ c1_1(a1538)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1002,plain,
    ( ~ spl0_15
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f25,f999,f320]) ).

fof(f25,plain,
    ( ~ c2_1(a1538)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f997,plain,
    ( ~ spl0_15
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f26,f994,f320]) ).

fof(f26,plain,
    ( ~ c3_1(a1538)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f992,plain,
    ( ~ spl0_1
    | spl0_19 ),
    inference(avatar_split_clause,[],[f27,f338,f258]) ).

fof(f258,plain,
    ( spl0_1
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

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

fof(f991,plain,
    ( ~ spl0_1
    | spl0_146 ),
    inference(avatar_split_clause,[],[f28,f988,f258]) ).

fof(f28,plain,
    ( c1_1(a1539)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f986,plain,
    ( ~ spl0_1
    | spl0_145 ),
    inference(avatar_split_clause,[],[f29,f983,f258]) ).

fof(f29,plain,
    ( c3_1(a1539)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f981,plain,
    ( ~ spl0_1
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f30,f978,f258]) ).

fof(f30,plain,
    ( ~ c0_1(a1539)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f976,plain,
    ( ~ spl0_41
    | spl0_19 ),
    inference(avatar_split_clause,[],[f31,f338,f432]) ).

fof(f432,plain,
    ( spl0_41
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f31,plain,
    ( ndr1_0
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f975,plain,
    ( ~ spl0_41
    | spl0_143 ),
    inference(avatar_split_clause,[],[f32,f972,f432]) ).

fof(f32,plain,
    ( c0_1(a1543)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f970,plain,
    ( ~ spl0_41
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f33,f967,f432]) ).

fof(f33,plain,
    ( ~ c1_1(a1543)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f965,plain,
    ( ~ spl0_41
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f34,f962,f432]) ).

fof(f34,plain,
    ( ~ c2_1(a1543)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f959,plain,
    ( ~ spl0_12
    | spl0_140 ),
    inference(avatar_split_clause,[],[f36,f956,f306]) ).

fof(f306,plain,
    ( spl0_12
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f36,plain,
    ( c2_1(a1545)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f954,plain,
    ( ~ spl0_12
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f37,f951,f306]) ).

fof(f37,plain,
    ( ~ c0_1(a1545)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f943,plain,
    ( ~ spl0_32
    | spl0_137 ),
    inference(avatar_split_clause,[],[f40,f940,f394]) ).

fof(f394,plain,
    ( spl0_32
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f40,plain,
    ( c0_1(a1547)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f938,plain,
    ( ~ spl0_32
    | spl0_136 ),
    inference(avatar_split_clause,[],[f41,f935,f394]) ).

fof(f41,plain,
    ( c1_1(a1547)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f912,plain,
    ( ~ spl0_7
    | spl0_19 ),
    inference(avatar_split_clause,[],[f47,f338,f284]) ).

fof(f284,plain,
    ( spl0_7
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f47,plain,
    ( ndr1_0
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f911,plain,
    ( ~ spl0_7
    | spl0_131 ),
    inference(avatar_split_clause,[],[f48,f908,f284]) ).

fof(f48,plain,
    ( c0_1(a1549)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f906,plain,
    ( ~ spl0_7
    | spl0_130 ),
    inference(avatar_split_clause,[],[f49,f903,f284]) ).

fof(f49,plain,
    ( c3_1(a1549)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f901,plain,
    ( ~ spl0_7
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f50,f898,f284]) ).

fof(f50,plain,
    ( ~ c1_1(a1549)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f895,plain,
    ( ~ spl0_49
    | spl0_128 ),
    inference(avatar_split_clause,[],[f52,f892,f470]) ).

fof(f470,plain,
    ( spl0_49
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f52,plain,
    ( c0_1(a1553)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f890,plain,
    ( ~ spl0_49
    | spl0_127 ),
    inference(avatar_split_clause,[],[f53,f887,f470]) ).

fof(f53,plain,
    ( c2_1(a1553)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f885,plain,
    ( ~ spl0_49
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f54,f882,f470]) ).

fof(f54,plain,
    ( ~ c1_1(a1553)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f880,plain,
    ( ~ spl0_8
    | spl0_19 ),
    inference(avatar_split_clause,[],[f55,f338,f288]) ).

fof(f288,plain,
    ( spl0_8
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f55,plain,
    ( ndr1_0
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f879,plain,
    ( ~ spl0_8
    | spl0_125 ),
    inference(avatar_split_clause,[],[f56,f876,f288]) ).

fof(f56,plain,
    ( c1_1(a1554)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f874,plain,
    ( ~ spl0_8
    | spl0_124 ),
    inference(avatar_split_clause,[],[f57,f871,f288]) ).

fof(f57,plain,
    ( c2_1(a1554)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f869,plain,
    ( ~ spl0_8
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f58,f866,f288]) ).

fof(f58,plain,
    ( ~ c0_1(a1554)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f863,plain,
    ( ~ spl0_31
    | spl0_122 ),
    inference(avatar_split_clause,[],[f60,f860,f389]) ).

fof(f389,plain,
    ( spl0_31
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f60,plain,
    ( c1_1(a1556)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f858,plain,
    ( ~ spl0_31
    | spl0_121 ),
    inference(avatar_split_clause,[],[f61,f855,f389]) ).

fof(f61,plain,
    ( c2_1(a1556)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f847,plain,
    ( ~ spl0_13
    | spl0_119 ),
    inference(avatar_split_clause,[],[f64,f844,f311]) ).

fof(f311,plain,
    ( spl0_13
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f64,plain,
    ( c0_1(a1558)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f842,plain,
    ( ~ spl0_13
    | spl0_118 ),
    inference(avatar_split_clause,[],[f65,f839,f311]) ).

fof(f65,plain,
    ( c1_1(a1558)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f837,plain,
    ( ~ spl0_13
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f66,f834,f311]) ).

fof(f66,plain,
    ( ~ c2_1(a1558)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f831,plain,
    ( ~ spl0_10
    | spl0_116 ),
    inference(avatar_split_clause,[],[f68,f828,f297]) ).

fof(f297,plain,
    ( spl0_10
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f68,plain,
    ( c1_1(a1565)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f826,plain,
    ( ~ spl0_10
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f69,f823,f297]) ).

fof(f69,plain,
    ( ~ c2_1(a1565)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f821,plain,
    ( ~ spl0_10
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f70,f818,f297]) ).

fof(f70,plain,
    ( ~ c3_1(a1565)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f815,plain,
    ( ~ spl0_50
    | spl0_113 ),
    inference(avatar_split_clause,[],[f72,f812,f475]) ).

fof(f475,plain,
    ( spl0_50
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f72,plain,
    ( c2_1(a1566)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f810,plain,
    ( ~ spl0_50
    | spl0_112 ),
    inference(avatar_split_clause,[],[f73,f807,f475]) ).

fof(f73,plain,
    ( c3_1(a1566)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f805,plain,
    ( ~ spl0_50
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f74,f802,f475]) ).

fof(f74,plain,
    ( ~ c1_1(a1566)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f767,plain,
    ( ~ spl0_17
    | spl0_104 ),
    inference(avatar_split_clause,[],[f84,f764,f329]) ).

fof(f329,plain,
    ( spl0_17
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f84,plain,
    ( c0_1(a1573)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f762,plain,
    ( ~ spl0_17
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f85,f759,f329]) ).

fof(f85,plain,
    ( ~ c1_1(a1573)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f757,plain,
    ( ~ spl0_17
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f86,f754,f329]) ).

fof(f86,plain,
    ( ~ c3_1(a1573)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f751,plain,
    ( ~ spl0_14
    | spl0_101 ),
    inference(avatar_split_clause,[],[f88,f748,f315]) ).

fof(f315,plain,
    ( spl0_14
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f88,plain,
    ( c1_1(a1574)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f746,plain,
    ( ~ spl0_14
    | spl0_100 ),
    inference(avatar_split_clause,[],[f89,f743,f315]) ).

fof(f89,plain,
    ( c3_1(a1574)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f741,plain,
    ( ~ spl0_14
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f90,f738,f315]) ).

fof(f90,plain,
    ( ~ c2_1(a1574)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f735,plain,
    ( ~ spl0_25
    | spl0_98 ),
    inference(avatar_split_clause,[],[f92,f732,f361]) ).

fof(f361,plain,
    ( spl0_25
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f92,plain,
    ( c2_1(a1575)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f730,plain,
    ( ~ spl0_25
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f93,f727,f361]) ).

fof(f93,plain,
    ( ~ c0_1(a1575)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f725,plain,
    ( ~ spl0_25
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f94,f722,f361]) ).

fof(f94,plain,
    ( ~ c1_1(a1575)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f703,plain,
    ( ~ spl0_4
    | spl0_92 ),
    inference(avatar_split_clause,[],[f100,f700,f271]) ).

fof(f271,plain,
    ( spl0_4
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f100,plain,
    ( c0_1(a1593)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f698,plain,
    ( ~ spl0_4
    | spl0_91 ),
    inference(avatar_split_clause,[],[f101,f695,f271]) ).

fof(f101,plain,
    ( c3_1(a1593)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f693,plain,
    ( ~ spl0_4
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f102,f690,f271]) ).

fof(f102,plain,
    ( ~ c2_1(a1593)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f687,plain,
    ( ~ spl0_28
    | spl0_89 ),
    inference(avatar_split_clause,[],[f104,f684,f375]) ).

fof(f375,plain,
    ( spl0_28
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f104,plain,
    ( c0_1(a1600)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f682,plain,
    ( ~ spl0_28
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f105,f679,f375]) ).

fof(f105,plain,
    ( ~ c2_1(a1600)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f677,plain,
    ( ~ spl0_28
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f106,f674,f375]) ).

fof(f106,plain,
    ( ~ c3_1(a1600)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f655,plain,
    ( ~ spl0_6
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f112,f652,f279]) ).

fof(f279,plain,
    ( spl0_6
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f112,plain,
    ( ~ c0_1(a1624)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f650,plain,
    ( ~ spl0_6
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f113,f647,f279]) ).

fof(f113,plain,
    ( ~ c2_1(a1624)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f645,plain,
    ( ~ spl0_6
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f114,f642,f279]) ).

fof(f114,plain,
    ( ~ c3_1(a1624)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f623,plain,
    ( ~ spl0_30
    | spl0_77 ),
    inference(avatar_split_clause,[],[f120,f620,f384]) ).

fof(f384,plain,
    ( spl0_30
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f120,plain,
    ( c1_1(a1542)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f618,plain,
    ( ~ spl0_30
    | spl0_76 ),
    inference(avatar_split_clause,[],[f121,f615,f384]) ).

fof(f121,plain,
    ( c2_1(a1542)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f613,plain,
    ( ~ spl0_30
    | spl0_75 ),
    inference(avatar_split_clause,[],[f122,f610,f384]) ).

fof(f122,plain,
    ( c3_1(a1542)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f591,plain,
    ( ~ spl0_37
    | spl0_71 ),
    inference(avatar_split_clause,[],[f128,f588,f415]) ).

fof(f415,plain,
    ( spl0_37
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f128,plain,
    ( c0_1(a1546)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f586,plain,
    ( ~ spl0_37
    | spl0_70 ),
    inference(avatar_split_clause,[],[f129,f583,f415]) ).

fof(f129,plain,
    ( c1_1(a1546)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f581,plain,
    ( ~ spl0_37
    | spl0_69 ),
    inference(avatar_split_clause,[],[f130,f578,f415]) ).

fof(f130,plain,
    ( c3_1(a1546)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f575,plain,
    ( ~ spl0_11
    | spl0_68 ),
    inference(avatar_split_clause,[],[f132,f572,f302]) ).

fof(f302,plain,
    ( spl0_11
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f132,plain,
    ( c0_1(a1562)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f565,plain,
    ( ~ spl0_11
    | spl0_66 ),
    inference(avatar_split_clause,[],[f134,f562,f302]) ).

fof(f134,plain,
    ( c3_1(a1562)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f548,plain,
    ( spl0_63
    | ~ spl0_19
    | spl0_24
    | spl0_1 ),
    inference(avatar_split_clause,[],[f214,f258,f358,f338,f545]) ).

fof(f214,plain,
    ! [X116,X115] :
      ( hskp5
      | ~ c1_1(X115)
      | ~ c0_1(X115)
      | c3_1(X115)
      | ~ ndr1_0
      | c3_1(X116)
      | c1_1(X116)
      | c0_1(X116) ),
    inference(duplicate_literal_removal,[],[f140]) ).

fof(f140,plain,
    ! [X116,X115] :
      ( hskp5
      | ~ c1_1(X115)
      | ~ c0_1(X115)
      | c3_1(X115)
      | ~ ndr1_0
      | c3_1(X116)
      | c1_1(X116)
      | c0_1(X116)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f542,plain,
    ( spl0_62
    | ~ spl0_19
    | spl0_26
    | spl0_30 ),
    inference(avatar_split_clause,[],[f217,f384,f367,f338,f540]) ).

fof(f217,plain,
    ! [X109,X110] :
      ( hskp28
      | ~ c3_1(X109)
      | ~ c1_1(X109)
      | c2_1(X109)
      | ~ ndr1_0
      | ~ c2_1(X110)
      | c1_1(X110)
      | c0_1(X110) ),
    inference(duplicate_literal_removal,[],[f143]) ).

fof(f143,plain,
    ! [X109,X110] :
      ( hskp28
      | ~ c3_1(X109)
      | ~ c1_1(X109)
      | c2_1(X109)
      | ~ ndr1_0
      | ~ c2_1(X110)
      | c1_1(X110)
      | c0_1(X110)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f536,plain,
    ( spl0_61
    | spl0_24
    | ~ spl0_19
    | spl0_34 ),
    inference(avatar_split_clause,[],[f220,f404,f338,f358,f534]) ).

fof(f220,plain,
    ! [X101,X102,X100] :
      ( ~ c2_1(X100)
      | ~ c0_1(X100)
      | c3_1(X100)
      | ~ ndr1_0
      | ~ c1_1(X101)
      | ~ c0_1(X101)
      | c3_1(X101)
      | ~ c3_1(X102)
      | c1_1(X102)
      | c0_1(X102) ),
    inference(duplicate_literal_removal,[],[f146]) ).

fof(f146,plain,
    ! [X101,X102,X100] :
      ( ~ c2_1(X100)
      | ~ c0_1(X100)
      | c3_1(X100)
      | ~ ndr1_0
      | ~ c1_1(X101)
      | ~ c0_1(X101)
      | c3_1(X101)
      | ~ ndr1_0
      | ~ c3_1(X102)
      | c1_1(X102)
      | c0_1(X102)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f532,plain,
    ( spl0_59
    | ~ spl0_19
    | spl0_57
    | spl0_41 ),
    inference(avatar_split_clause,[],[f221,f432,f509,f338,f522]) ).

fof(f221,plain,
    ! [X98,X99] :
      ( hskp6
      | ~ c3_1(X98)
      | c2_1(X98)
      | c0_1(X98)
      | ~ ndr1_0
      | c3_1(X99)
      | c2_1(X99)
      | c0_1(X99) ),
    inference(duplicate_literal_removal,[],[f147]) ).

fof(f147,plain,
    ! [X98,X99] :
      ( hskp6
      | ~ c3_1(X98)
      | c2_1(X98)
      | c0_1(X98)
      | ~ ndr1_0
      | c3_1(X99)
      | c2_1(X99)
      | c0_1(X99)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f524,plain,
    ( ~ spl0_19
    | spl0_59
    | spl0_37
    | spl0_32 ),
    inference(avatar_split_clause,[],[f152,f394,f415,f522,f338]) ).

fof(f152,plain,
    ! [X87] :
      ( hskp8
      | hskp30
      | c3_1(X87)
      | c2_1(X87)
      | c0_1(X87)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f520,plain,
    ( spl0_58
    | spl0_57
    | ~ spl0_19
    | spl0_20 ),
    inference(avatar_split_clause,[],[f226,f342,f338,f509,f516]) ).

fof(f226,plain,
    ! [X86,X84,X85] :
      ( ~ c3_1(X84)
      | ~ c2_1(X84)
      | ~ c1_1(X84)
      | ~ ndr1_0
      | ~ c3_1(X85)
      | c2_1(X85)
      | c0_1(X85)
      | ~ c1_1(X86)
      | c2_1(X86)
      | c0_1(X86) ),
    inference(duplicate_literal_removal,[],[f153]) ).

fof(f153,plain,
    ! [X86,X84,X85] :
      ( ~ c3_1(X84)
      | ~ c2_1(X84)
      | ~ c1_1(X84)
      | ~ ndr1_0
      | ~ c3_1(X85)
      | c2_1(X85)
      | c0_1(X85)
      | ~ ndr1_0
      | ~ c1_1(X86)
      | c2_1(X86)
      | c0_1(X86)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f518,plain,
    ( ~ spl0_19
    | spl0_58
    | spl0_7
    | spl0_15 ),
    inference(avatar_split_clause,[],[f155,f320,f284,f516,f338]) ).

fof(f155,plain,
    ! [X81] :
      ( hskp4
      | hskp10
      | ~ c1_1(X81)
      | c2_1(X81)
      | c0_1(X81)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f514,plain,
    ( spl0_57
    | ~ spl0_19
    | spl0_48
    | spl0_5 ),
    inference(avatar_split_clause,[],[f228,f275,f467,f338,f509]) ).

fof(f228,plain,
    ! [X80,X79] :
      ( hskp3
      | ~ c0_1(X79)
      | c2_1(X79)
      | c1_1(X79)
      | ~ ndr1_0
      | ~ c3_1(X80)
      | c2_1(X80)
      | c0_1(X80) ),
    inference(duplicate_literal_removal,[],[f156]) ).

fof(f156,plain,
    ! [X80,X79] :
      ( hskp3
      | ~ c0_1(X79)
      | c2_1(X79)
      | c1_1(X79)
      | ~ ndr1_0
      | ~ c3_1(X80)
      | c2_1(X80)
      | c0_1(X80)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f503,plain,
    ( spl0_54
    | spl0_52
    | ~ spl0_19
    | spl0_36 ),
    inference(avatar_split_clause,[],[f232,f412,f338,f484,f493]) ).

fof(f232,plain,
    ! [X70,X71,X69] :
      ( ~ c3_1(X69)
      | ~ c0_1(X69)
      | c1_1(X69)
      | ~ ndr1_0
      | ~ c3_1(X70)
      | ~ c2_1(X70)
      | c0_1(X70)
      | ~ c2_1(X71)
      | ~ c1_1(X71)
      | c0_1(X71) ),
    inference(duplicate_literal_removal,[],[f161]) ).

fof(f161,plain,
    ! [X70,X71,X69] :
      ( ~ c3_1(X69)
      | ~ c0_1(X69)
      | c1_1(X69)
      | ~ ndr1_0
      | ~ c3_1(X70)
      | ~ c2_1(X70)
      | c0_1(X70)
      | ~ ndr1_0
      | ~ c2_1(X71)
      | ~ c1_1(X71)
      | c0_1(X71)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f497,plain,
    ( spl0_54
    | ~ spl0_19
    | spl0_27
    | spl0_13 ),
    inference(avatar_split_clause,[],[f234,f311,f372,f338,f493]) ).

fof(f234,plain,
    ! [X65,X66] :
      ( hskp14
      | ~ c1_1(X65)
      | c3_1(X65)
      | c2_1(X65)
      | ~ ndr1_0
      | ~ c2_1(X66)
      | ~ c1_1(X66)
      | c0_1(X66) ),
    inference(duplicate_literal_removal,[],[f163]) ).

fof(f163,plain,
    ! [X65,X66] :
      ( hskp14
      | ~ c1_1(X65)
      | c3_1(X65)
      | c2_1(X65)
      | ~ ndr1_0
      | ~ c2_1(X66)
      | ~ c1_1(X66)
      | c0_1(X66)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f496,plain,
    ( spl0_54
    | ~ spl0_19
    | spl0_39
    | spl0_7 ),
    inference(avatar_split_clause,[],[f235,f284,f425,f338,f493]) ).

fof(f235,plain,
    ! [X63,X64] :
      ( hskp10
      | ~ c1_1(X63)
      | ~ c0_1(X63)
      | c2_1(X63)
      | ~ ndr1_0
      | ~ c2_1(X64)
      | ~ c1_1(X64)
      | c0_1(X64) ),
    inference(duplicate_literal_removal,[],[f164]) ).

fof(f164,plain,
    ! [X63,X64] :
      ( hskp10
      | ~ c1_1(X63)
      | ~ c0_1(X63)
      | c2_1(X63)
      | ~ ndr1_0
      | ~ c2_1(X64)
      | ~ c1_1(X64)
      | c0_1(X64)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f495,plain,
    ( ~ spl0_19
    | spl0_54
    | spl0_13
    | spl0_1 ),
    inference(avatar_split_clause,[],[f165,f258,f311,f493,f338]) ).

fof(f165,plain,
    ! [X62] :
      ( hskp5
      | hskp14
      | ~ c2_1(X62)
      | ~ c1_1(X62)
      | c0_1(X62)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f491,plain,
    ( spl0_53
    | ~ spl0_19
    | spl0_44
    | spl0_11 ),
    inference(avatar_split_clause,[],[f236,f302,f451,f338,f488]) ).

fof(f236,plain,
    ! [X60,X61] :
      ( hskp31
      | ~ c0_1(X60)
      | c3_1(X60)
      | c1_1(X60)
      | ~ ndr1_0
      | ~ c3_1(X61)
      | ~ c1_1(X61)
      | c0_1(X61) ),
    inference(duplicate_literal_removal,[],[f166]) ).

fof(f166,plain,
    ! [X60,X61] :
      ( hskp31
      | ~ c0_1(X60)
      | c3_1(X60)
      | c1_1(X60)
      | ~ ndr1_0
      | ~ c3_1(X61)
      | ~ c1_1(X61)
      | c0_1(X61)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f490,plain,
    ( ~ spl0_19
    | spl0_53
    | spl0_9
    | spl0_30 ),
    inference(avatar_split_clause,[],[f167,f384,f293,f488,f338]) ).

fof(f167,plain,
    ! [X59] :
      ( hskp28
      | hskp1
      | ~ c3_1(X59)
      | ~ c1_1(X59)
      | c0_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f478,plain,
    ( spl0_48
    | ~ spl0_19
    | spl0_27
    | spl0_50 ),
    inference(avatar_split_clause,[],[f239,f475,f372,f338,f467]) ).

fof(f239,plain,
    ! [X52,X53] :
      ( hskp16
      | ~ c1_1(X52)
      | c3_1(X52)
      | c2_1(X52)
      | ~ ndr1_0
      | ~ c0_1(X53)
      | c2_1(X53)
      | c1_1(X53) ),
    inference(duplicate_literal_removal,[],[f170]) ).

fof(f170,plain,
    ! [X52,X53] :
      ( hskp16
      | ~ c1_1(X52)
      | c3_1(X52)
      | c2_1(X52)
      | ~ ndr1_0
      | ~ c0_1(X53)
      | c2_1(X53)
      | c1_1(X53)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f473,plain,
    ( ~ spl0_19
    | spl0_48
    | spl0_49
    | spl0_9 ),
    inference(avatar_split_clause,[],[f171,f293,f470,f467,f338]) ).

fof(f171,plain,
    ! [X51] :
      ( hskp1
      | hskp11
      | ~ c0_1(X51)
      | c2_1(X51)
      | c1_1(X51)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f458,plain,
    ( spl0_44
    | spl0_40
    | ~ spl0_19
    | spl0_22 ),
    inference(avatar_split_clause,[],[f241,f350,f338,f429,f451]) ).

fof(f241,plain,
    ! [X48,X46,X47] :
      ( ~ c3_1(X46)
      | ~ c1_1(X46)
      | ~ c0_1(X46)
      | ~ ndr1_0
      | ~ c2_1(X47)
      | ~ c0_1(X47)
      | c1_1(X47)
      | ~ c0_1(X48)
      | c3_1(X48)
      | c1_1(X48) ),
    inference(duplicate_literal_removal,[],[f173]) ).

fof(f173,plain,
    ! [X48,X46,X47] :
      ( ~ c3_1(X46)
      | ~ c1_1(X46)
      | ~ c0_1(X46)
      | ~ ndr1_0
      | ~ c2_1(X47)
      | ~ c0_1(X47)
      | c1_1(X47)
      | ~ ndr1_0
      | ~ c0_1(X48)
      | c3_1(X48)
      | c1_1(X48)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f441,plain,
    ( spl0_40
    | ~ spl0_19
    | spl0_29
    | spl0_17 ),
    inference(avatar_split_clause,[],[f243,f329,f381,f338,f429]) ).

fof(f243,plain,
    ! [X41,X42] :
      ( hskp19
      | ~ c0_1(X41)
      | c3_1(X41)
      | c2_1(X41)
      | ~ ndr1_0
      | ~ c2_1(X42)
      | ~ c0_1(X42)
      | c1_1(X42) ),
    inference(duplicate_literal_removal,[],[f176]) ).

fof(f176,plain,
    ! [X41,X42] :
      ( hskp19
      | ~ c0_1(X41)
      | c3_1(X41)
      | c2_1(X41)
      | ~ ndr1_0
      | ~ c2_1(X42)
      | ~ c0_1(X42)
      | c1_1(X42)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f440,plain,
    ( spl0_40
    | ~ spl0_19
    | spl0_27
    | spl0_14 ),
    inference(avatar_split_clause,[],[f244,f315,f372,f338,f429]) ).

fof(f244,plain,
    ! [X40,X39] :
      ( hskp20
      | ~ c1_1(X39)
      | c3_1(X39)
      | c2_1(X39)
      | ~ ndr1_0
      | ~ c2_1(X40)
      | ~ c0_1(X40)
      | c1_1(X40) ),
    inference(duplicate_literal_removal,[],[f177]) ).

fof(f177,plain,
    ! [X40,X39] :
      ( hskp20
      | ~ c1_1(X39)
      | c3_1(X39)
      | c2_1(X39)
      | ~ ndr1_0
      | ~ c2_1(X40)
      | ~ c0_1(X40)
      | c1_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f439,plain,
    ( spl0_40
    | ~ spl0_19
    | spl0_39
    | spl0_25 ),
    inference(avatar_split_clause,[],[f245,f361,f425,f338,f429]) ).

fof(f245,plain,
    ! [X38,X37] :
      ( hskp21
      | ~ c1_1(X37)
      | ~ c0_1(X37)
      | c2_1(X37)
      | ~ ndr1_0
      | ~ c2_1(X38)
      | ~ c0_1(X38)
      | c1_1(X38) ),
    inference(duplicate_literal_removal,[],[f178]) ).

fof(f178,plain,
    ! [X38,X37] :
      ( hskp21
      | ~ c1_1(X37)
      | ~ c0_1(X37)
      | c2_1(X37)
      | ~ ndr1_0
      | ~ c2_1(X38)
      | ~ c0_1(X38)
      | c1_1(X38)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f438,plain,
    ( spl0_40
    | spl0_34
    | ~ spl0_19
    | spl0_20 ),
    inference(avatar_split_clause,[],[f246,f342,f338,f404,f429]) ).

fof(f246,plain,
    ! [X36,X34,X35] :
      ( ~ c3_1(X34)
      | ~ c2_1(X34)
      | ~ c1_1(X34)
      | ~ ndr1_0
      | ~ c2_1(X35)
      | ~ c0_1(X35)
      | c3_1(X35)
      | ~ c2_1(X36)
      | ~ c0_1(X36)
      | c1_1(X36) ),
    inference(duplicate_literal_removal,[],[f179]) ).

fof(f179,plain,
    ! [X36,X34,X35] :
      ( ~ c3_1(X34)
      | ~ c2_1(X34)
      | ~ c1_1(X34)
      | ~ ndr1_0
      | ~ c2_1(X35)
      | ~ c0_1(X35)
      | c3_1(X35)
      | ~ ndr1_0
      | ~ c2_1(X36)
      | ~ c0_1(X36)
      | c1_1(X36)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f435,plain,
    ( ~ spl0_19
    | spl0_40
    | spl0_7
    | spl0_41 ),
    inference(avatar_split_clause,[],[f182,f432,f284,f429,f338]) ).

fof(f182,plain,
    ! [X30] :
      ( hskp6
      | hskp10
      | ~ c2_1(X30)
      | ~ c0_1(X30)
      | c1_1(X30)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f423,plain,
    ( spl0_36
    | ~ spl0_19
    | spl0_26
    | spl0_13 ),
    inference(avatar_split_clause,[],[f249,f311,f367,f338,f412]) ).

fof(f249,plain,
    ! [X26,X27] :
      ( hskp14
      | ~ c3_1(X26)
      | ~ c1_1(X26)
      | c2_1(X26)
      | ~ ndr1_0
      | ~ c3_1(X27)
      | ~ c0_1(X27)
      | c1_1(X27) ),
    inference(duplicate_literal_removal,[],[f184]) ).

fof(f184,plain,
    ! [X26,X27] :
      ( hskp14
      | ~ c3_1(X26)
      | ~ c1_1(X26)
      | c2_1(X26)
      | ~ ndr1_0
      | ~ c3_1(X27)
      | ~ c0_1(X27)
      | c1_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f422,plain,
    ( spl0_36
    | ~ spl0_19
    | spl0_38
    | spl0_25 ),
    inference(avatar_split_clause,[],[f250,f361,f420,f338,f412]) ).

fof(f250,plain,
    ! [X24,X25] :
      ( hskp21
      | ~ c2_1(X24)
      | ~ c1_1(X24)
      | c3_1(X24)
      | ~ ndr1_0
      | ~ c3_1(X25)
      | ~ c0_1(X25)
      | c1_1(X25) ),
    inference(duplicate_literal_removal,[],[f185]) ).

fof(f185,plain,
    ! [X24,X25] :
      ( hskp21
      | ~ c2_1(X24)
      | ~ c1_1(X24)
      | c3_1(X24)
      | ~ ndr1_0
      | ~ c3_1(X25)
      | ~ c0_1(X25)
      | c1_1(X25)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f418,plain,
    ( ~ spl0_19
    | spl0_36
    | spl0_37
    | spl0_31 ),
    inference(avatar_split_clause,[],[f186,f389,f415,f412,f338]) ).

fof(f186,plain,
    ! [X23] :
      ( hskp13
      | hskp30
      | ~ c3_1(X23)
      | ~ c0_1(X23)
      | c1_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f397,plain,
    ( ~ spl0_19
    | spl0_29
    | spl0_32
    | spl0_4 ),
    inference(avatar_split_clause,[],[f191,f271,f394,f381,f338]) ).

fof(f191,plain,
    ! [X16] :
      ( hskp23
      | hskp8
      | ~ c0_1(X16)
      | c3_1(X16)
      | c2_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f387,plain,
    ( ~ spl0_19
    | spl0_29
    | spl0_30
    | spl0_10 ),
    inference(avatar_split_clause,[],[f193,f297,f384,f381,f338]) ).

fof(f193,plain,
    ! [X14] :
      ( hskp15
      | hskp28
      | ~ c0_1(X14)
      | c3_1(X14)
      | c2_1(X14)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f378,plain,
    ( ~ spl0_19
    | spl0_27
    | spl0_17
    | spl0_28 ),
    inference(avatar_split_clause,[],[f195,f375,f329,f372,f338]) ).

fof(f195,plain,
    ! [X11] :
      ( hskp24
      | hskp19
      | ~ c1_1(X11)
      | c3_1(X11)
      | c2_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f370,plain,
    ( spl0_26
    | spl0_23
    | ~ spl0_19
    | spl0_20 ),
    inference(avatar_split_clause,[],[f254,f342,f338,f354,f367]) ).

fof(f254,plain,
    ! [X10,X8,X9] :
      ( ~ c3_1(X8)
      | ~ c2_1(X8)
      | ~ c1_1(X8)
      | ~ ndr1_0
      | ~ c2_1(X9)
      | ~ c1_1(X9)
      | ~ c0_1(X9)
      | ~ c3_1(X10)
      | ~ c1_1(X10)
      | c2_1(X10) ),
    inference(duplicate_literal_removal,[],[f196]) ).

fof(f196,plain,
    ! [X10,X8,X9] :
      ( ~ c3_1(X8)
      | ~ c2_1(X8)
      | ~ c1_1(X8)
      | ~ ndr1_0
      | ~ c2_1(X9)
      | ~ c1_1(X9)
      | ~ c0_1(X9)
      | ~ ndr1_0
      | ~ c3_1(X10)
      | ~ c1_1(X10)
      | c2_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f369,plain,
    ( spl0_26
    | ~ spl0_19
    | spl0_22
    | spl0_1 ),
    inference(avatar_split_clause,[],[f255,f258,f350,f338,f367]) ).

fof(f255,plain,
    ! [X6,X7] :
      ( hskp5
      | ~ c3_1(X6)
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0
      | ~ c3_1(X7)
      | ~ c1_1(X7)
      | c2_1(X7) ),
    inference(duplicate_literal_removal,[],[f197]) ).

fof(f197,plain,
    ! [X6,X7] :
      ( hskp5
      | ~ c3_1(X6)
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0
      | ~ c3_1(X7)
      | ~ c1_1(X7)
      | c2_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f365,plain,
    ( spl0_24
    | ~ spl0_19
    | spl0_20
    | spl0_4 ),
    inference(avatar_split_clause,[],[f256,f271,f342,f338,f358]) ).

fof(f256,plain,
    ! [X4,X5] :
      ( hskp23
      | ~ c3_1(X4)
      | ~ c2_1(X4)
      | ~ c1_1(X4)
      | ~ ndr1_0
      | ~ c1_1(X5)
      | ~ c0_1(X5)
      | c3_1(X5) ),
    inference(duplicate_literal_removal,[],[f198]) ).

fof(f198,plain,
    ! [X4,X5] :
      ( hskp23
      | ~ c3_1(X4)
      | ~ c2_1(X4)
      | ~ c1_1(X4)
      | ~ ndr1_0
      | ~ c1_1(X5)
      | ~ c0_1(X5)
      | c3_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f364,plain,
    ( ~ spl0_19
    | spl0_24
    | spl0_14
    | spl0_25 ),
    inference(avatar_split_clause,[],[f199,f361,f315,f358,f338]) ).

fof(f199,plain,
    ! [X3] :
      ( hskp21
      | hskp20
      | ~ c1_1(X3)
      | ~ c0_1(X3)
      | c3_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f356,plain,
    ( ~ spl0_19
    | spl0_23
    | spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f200,f306,f302,f354,f338]) ).

fof(f200,plain,
    ! [X2] :
      ( hskp7
      | hskp31
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f352,plain,
    ( ~ spl0_19
    | spl0_22
    | spl0_7 ),
    inference(avatar_split_clause,[],[f201,f284,f350,f338]) ).

fof(f201,plain,
    ! [X1] :
      ( hskp10
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f323,plain,
    ( spl0_13
    | spl0_9
    | spl0_15 ),
    inference(avatar_split_clause,[],[f204,f320,f293,f311]) ).

fof(f204,plain,
    ( hskp4
    | hskp1
    | hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f318,plain,
    ( spl0_13
    | spl0_14
    | spl0_10 ),
    inference(avatar_split_clause,[],[f205,f297,f315,f311]) ).

fof(f205,plain,
    ( hskp15
    | hskp20
    | hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f300,plain,
    ( spl0_9
    | spl0_10
    | spl0_6 ),
    inference(avatar_split_clause,[],[f207,f279,f297,f293]) ).

fof(f207,plain,
    ( hskp26
    | hskp15
    | hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f291,plain,
    ( spl0_7
    | spl0_8
    | spl0_5 ),
    inference(avatar_split_clause,[],[f208,f275,f288,f284]) ).

fof(f208,plain,
    ( hskp3
    | hskp12
    | hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN480+1 : TPTP v8.1.2. Released v2.1.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n022.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 17:23:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (9829)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (9839)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37  % (9834)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37  % (9835)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37  % (9837)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37  % (9836)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)
% 0.14/0.37  % (9838)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38  % (9840)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)
% 0.14/0.38  Detected minimum model sizes of [1]
% 0.14/0.38  Detected maximum model sizes of [32]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  Detected minimum model sizes of [1]
% 0.14/0.38  Detected maximum model sizes of [32]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  Detected minimum model sizes of [1]
% 0.14/0.38  Detected maximum model sizes of [32]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  % (9839)First to succeed.
% 0.14/0.39  Detected minimum model sizes of [1]
% 0.14/0.39  Detected maximum model sizes of [32]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [4]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  TRYING [4]
% 0.14/0.39  % (9839)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9829"
% 0.14/0.40  % (9839)Refutation found. Thanks to Tanya!
% 0.14/0.40  % SZS status Theorem for theBenchmark
% 0.14/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40  % (9839)------------------------------
% 0.14/0.40  % (9839)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.40  % (9839)Termination reason: Refutation
% 0.14/0.40  
% 0.14/0.40  % (9839)Memory used [KB]: 1895
% 0.14/0.40  % (9839)Time elapsed: 0.027 s
% 0.14/0.40  % (9839)Instructions burned: 83 (million)
% 0.14/0.40  % (9829)Success in time 0.044 s
%------------------------------------------------------------------------------