TSTP Solution File: SYN445+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN445+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 : n009.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 12:10:22 EDT 2024

% Result   : Theorem 0.22s 0.43s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  114
% Syntax   : Number of formulae    :  574 (   1 unt;   0 def)
%            Number of atoms       : 5634 (   0 equ)
%            Maximal formula atoms :  606 (   9 avg)
%            Number of connectives : 7562 (2502   ~;3497   |;1074   &)
%                                         ( 113 <=>; 376  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   97 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  149 ( 148 usr; 145 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   :  740 ( 740   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3070,plain,
    $false,
    inference(avatar_sat_refutation,[],[f240,f245,f258,f326,f338,f343,f347,f355,f361,f373,f378,f387,f396,f405,f406,f431,f432,f436,f440,f444,f455,f456,f457,f458,f462,f466,f474,f475,f479,f480,f484,f485,f489,f495,f548,f553,f558,f564,f569,f574,f596,f601,f607,f612,f617,f622,f628,f633,f638,f649,f654,f660,f670,f692,f697,f702,f708,f713,f718,f724,f729,f734,f735,f756,f761,f766,f772,f777,f782,f788,f793,f798,f804,f809,f814,f836,f846,f868,f873,f878,f879,f889,f894,f900,f905,f910,f916,f921,f932,f937,f942,f948,f953,f958,f964,f969,f974,f1028,f1070,f1104,f1158,f1170,f1341,f1385,f1387,f1436,f1457,f1481,f1530,f1532,f1536,f1586,f1760,f1976,f2050,f2083,f2165,f2171,f2266,f2287,f2290,f2360,f2456,f2567,f2616,f2638,f2643,f2663,f2676,f2677,f2680,f2698,f2771,f2782,f2822,f2935,f2951,f3007,f3014,f3035,f3065,f3067,f3069]) ).

fof(f3069,plain,
    ( spl0_106
    | ~ spl0_56
    | spl0_105
    | spl0_153 ),
    inference(avatar_split_clause,[],[f3068,f1067,f721,f464,f726]) ).

fof(f726,plain,
    ( spl0_106
  <=> c0_1(a320) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f464,plain,
    ( spl0_56
  <=> ! [X68] :
        ( c3_1(X68)
        | c0_1(X68)
        | c2_1(X68) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f721,plain,
    ( spl0_105
  <=> c2_1(a320) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1067,plain,
    ( spl0_153
  <=> c3_1(a320) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f3068,plain,
    ( c0_1(a320)
    | ~ spl0_56
    | spl0_105
    | spl0_153 ),
    inference(subsumption_resolution,[],[f2996,f723]) ).

fof(f723,plain,
    ( ~ c2_1(a320)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f2996,plain,
    ( c0_1(a320)
    | c2_1(a320)
    | ~ spl0_56
    | spl0_153 ),
    inference(resolution,[],[f465,f1069]) ).

fof(f1069,plain,
    ( ~ c3_1(a320)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f1067]) ).

fof(f465,plain,
    ( ! [X68] :
        ( c3_1(X68)
        | c0_1(X68)
        | c2_1(X68) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f3067,plain,
    ( spl0_163
    | ~ spl0_56
    | spl0_144
    | spl0_145 ),
    inference(avatar_split_clause,[],[f3066,f934,f929,f464,f2200]) ).

fof(f2200,plain,
    ( spl0_163
  <=> c2_1(a297) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f929,plain,
    ( spl0_144
  <=> c3_1(a297) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f934,plain,
    ( spl0_145
  <=> c0_1(a297) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f3066,plain,
    ( c2_1(a297)
    | ~ spl0_56
    | spl0_144
    | spl0_145 ),
    inference(subsumption_resolution,[],[f2990,f936]) ).

fof(f936,plain,
    ( ~ c0_1(a297)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f934]) ).

fof(f2990,plain,
    ( c0_1(a297)
    | c2_1(a297)
    | ~ spl0_56
    | spl0_144 ),
    inference(resolution,[],[f465,f931]) ).

fof(f931,plain,
    ( ~ c3_1(a297)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f929]) ).

fof(f3065,plain,
    ( ~ spl0_163
    | ~ spl0_25
    | spl0_144
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f3058,f939,f929,f324,f2200]) ).

fof(f324,plain,
    ( spl0_25
  <=> ! [X4] :
        ( ~ c2_1(X4)
        | c3_1(X4)
        | ~ c1_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f939,plain,
    ( spl0_146
  <=> c1_1(a297) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f3058,plain,
    ( ~ c2_1(a297)
    | ~ spl0_25
    | spl0_144
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f3047,f931]) ).

fof(f3047,plain,
    ( c3_1(a297)
    | ~ c2_1(a297)
    | ~ spl0_25
    | ~ spl0_146 ),
    inference(resolution,[],[f325,f941]) ).

fof(f941,plain,
    ( c1_1(a297)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f939]) ).

fof(f325,plain,
    ( ! [X4] :
        ( ~ c1_1(X4)
        | c3_1(X4)
        | ~ c2_1(X4) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f3035,plain,
    ( ~ spl0_54
    | ~ spl0_61
    | spl0_114
    | spl0_115 ),
    inference(avatar_contradiction_clause,[],[f3034]) ).

fof(f3034,plain,
    ( $false
    | ~ spl0_54
    | ~ spl0_61
    | spl0_114
    | spl0_115 ),
    inference(subsumption_resolution,[],[f3023,f776]) ).

fof(f776,plain,
    ( ~ c0_1(a310)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f774,plain,
    ( spl0_115
  <=> c0_1(a310) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f3023,plain,
    ( c0_1(a310)
    | ~ spl0_54
    | ~ spl0_61
    | spl0_114 ),
    inference(resolution,[],[f3010,f771]) ).

fof(f771,plain,
    ( ~ c2_1(a310)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f769,plain,
    ( spl0_114
  <=> c2_1(a310) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f3010,plain,
    ( ! [X84] :
        ( c2_1(X84)
        | c0_1(X84) )
    | ~ spl0_54
    | ~ spl0_61 ),
    inference(subsumption_resolution,[],[f488,f452]) ).

fof(f452,plain,
    ( ! [X53] :
        ( ~ c1_1(X53)
        | c0_1(X53)
        | c2_1(X53) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f451,plain,
    ( spl0_54
  <=> ! [X53] :
        ( ~ c1_1(X53)
        | c0_1(X53)
        | c2_1(X53) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f488,plain,
    ( ! [X84] :
        ( c2_1(X84)
        | c0_1(X84)
        | c1_1(X84) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f487,plain,
    ( spl0_61
  <=> ! [X84] :
        ( c2_1(X84)
        | c0_1(X84)
        | c1_1(X84) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f3014,plain,
    ( ~ spl0_41
    | ~ spl0_56
    | spl0_84
    | spl0_85
    | spl0_86 ),
    inference(avatar_contradiction_clause,[],[f3013]) ).

fof(f3013,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_56
    | spl0_84
    | spl0_85
    | spl0_86 ),
    inference(subsumption_resolution,[],[f3012,f611]) ).

fof(f611,plain,
    ( ~ c3_1(a338)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f609]) ).

fof(f609,plain,
    ( spl0_84
  <=> c3_1(a338) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f3012,plain,
    ( c3_1(a338)
    | ~ spl0_41
    | ~ spl0_56
    | spl0_84
    | spl0_85
    | spl0_86 ),
    inference(subsumption_resolution,[],[f3011,f621]) ).

fof(f621,plain,
    ( ~ c1_1(a338)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f619,plain,
    ( spl0_86
  <=> c1_1(a338) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f3011,plain,
    ( c1_1(a338)
    | c3_1(a338)
    | ~ spl0_41
    | ~ spl0_56
    | spl0_84
    | spl0_85 ),
    inference(resolution,[],[f3008,f395]) ).

fof(f395,plain,
    ( ! [X30] :
        ( ~ c0_1(X30)
        | c1_1(X30)
        | c3_1(X30) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f394,plain,
    ( spl0_41
  <=> ! [X30] :
        ( ~ c0_1(X30)
        | c1_1(X30)
        | c3_1(X30) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f3008,plain,
    ( c0_1(a338)
    | ~ spl0_56
    | spl0_84
    | spl0_85 ),
    inference(subsumption_resolution,[],[f3001,f616]) ).

fof(f616,plain,
    ( ~ c2_1(a338)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f614]) ).

fof(f614,plain,
    ( spl0_85
  <=> c2_1(a338) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f3001,plain,
    ( c0_1(a338)
    | c2_1(a338)
    | ~ spl0_56
    | spl0_84 ),
    inference(resolution,[],[f465,f611]) ).

fof(f3007,plain,
    ( ~ spl0_56
    | spl0_138
    | spl0_140
    | spl0_166 ),
    inference(avatar_contradiction_clause,[],[f3006]) ).

fof(f3006,plain,
    ( $false
    | ~ spl0_56
    | spl0_138
    | spl0_140
    | spl0_166 ),
    inference(subsumption_resolution,[],[f3005,f899]) ).

fof(f899,plain,
    ( ~ c2_1(a300)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f897,plain,
    ( spl0_138
  <=> c2_1(a300) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f3005,plain,
    ( c2_1(a300)
    | ~ spl0_56
    | spl0_140
    | spl0_166 ),
    inference(subsumption_resolution,[],[f2991,f909]) ).

fof(f909,plain,
    ( ~ c0_1(a300)
    | spl0_140 ),
    inference(avatar_component_clause,[],[f907]) ).

fof(f907,plain,
    ( spl0_140
  <=> c0_1(a300) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2991,plain,
    ( c0_1(a300)
    | c2_1(a300)
    | ~ spl0_56
    | spl0_166 ),
    inference(resolution,[],[f465,f2642]) ).

fof(f2642,plain,
    ( ~ c3_1(a300)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f2640]) ).

fof(f2640,plain,
    ( spl0_166
  <=> c3_1(a300) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f2951,plain,
    ( ~ spl0_47
    | ~ spl0_52
    | spl0_88
    | ~ spl0_89 ),
    inference(avatar_contradiction_clause,[],[f2950]) ).

fof(f2950,plain,
    ( $false
    | ~ spl0_47
    | ~ spl0_52
    | spl0_88
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f2946,f632]) ).

fof(f632,plain,
    ( ~ c0_1(a336)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f630,plain,
    ( spl0_88
  <=> c0_1(a336) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f2946,plain,
    ( c0_1(a336)
    | ~ spl0_47
    | ~ spl0_52
    | ~ spl0_89 ),
    inference(resolution,[],[f2937,f637]) ).

fof(f637,plain,
    ( c3_1(a336)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f635,plain,
    ( spl0_89
  <=> c3_1(a336) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f2937,plain,
    ( ! [X50] :
        ( ~ c3_1(X50)
        | c0_1(X50) )
    | ~ spl0_47
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f443,f421]) ).

fof(f421,plain,
    ( ! [X39] :
        ( ~ c3_1(X39)
        | c0_1(X39)
        | ~ c2_1(X39) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f420,plain,
    ( spl0_47
  <=> ! [X39] :
        ( ~ c3_1(X39)
        | c0_1(X39)
        | ~ c2_1(X39) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f443,plain,
    ( ! [X50] :
        ( ~ c3_1(X50)
        | c0_1(X50)
        | c2_1(X50) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f442,plain,
    ( spl0_52
  <=> ! [X50] :
        ( ~ c3_1(X50)
        | c0_1(X50)
        | c2_1(X50) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f2935,plain,
    ( ~ spl0_163
    | spl0_145
    | ~ spl0_49
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2917,f939,f429,f934,f2200]) ).

fof(f429,plain,
    ( spl0_49
  <=> ! [X43] :
        ( ~ c2_1(X43)
        | c0_1(X43)
        | ~ c1_1(X43) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f2917,plain,
    ( c0_1(a297)
    | ~ c2_1(a297)
    | ~ spl0_49
    | ~ spl0_146 ),
    inference(resolution,[],[f430,f941]) ).

fof(f430,plain,
    ( ! [X43] :
        ( ~ c1_1(X43)
        | c0_1(X43)
        | ~ c2_1(X43) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f2822,plain,
    ( ~ spl0_101
    | ~ spl0_27
    | spl0_99
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f2813,f694,f689,f333,f699]) ).

fof(f699,plain,
    ( spl0_101
  <=> c0_1(a323) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f333,plain,
    ( spl0_27
  <=> ! [X8] :
        ( ~ c2_1(X8)
        | c3_1(X8)
        | ~ c0_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f689,plain,
    ( spl0_99
  <=> c3_1(a323) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f694,plain,
    ( spl0_100
  <=> c2_1(a323) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f2813,plain,
    ( ~ c0_1(a323)
    | ~ spl0_27
    | spl0_99
    | ~ spl0_100 ),
    inference(subsumption_resolution,[],[f2798,f691]) ).

fof(f691,plain,
    ( ~ c3_1(a323)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f2798,plain,
    ( c3_1(a323)
    | ~ c0_1(a323)
    | ~ spl0_27
    | ~ spl0_100 ),
    inference(resolution,[],[f334,f696]) ).

fof(f696,plain,
    ( c2_1(a323)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f334,plain,
    ( ! [X8] :
        ( ~ c2_1(X8)
        | c3_1(X8)
        | ~ c0_1(X8) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f2782,plain,
    ( ~ spl0_60
    | spl0_75
    | spl0_76
    | spl0_77 ),
    inference(avatar_contradiction_clause,[],[f2781]) ).

fof(f2781,plain,
    ( $false
    | ~ spl0_60
    | spl0_75
    | spl0_76
    | spl0_77 ),
    inference(subsumption_resolution,[],[f2780,f563]) ).

fof(f563,plain,
    ( ~ c3_1(a346)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f561,plain,
    ( spl0_75
  <=> c3_1(a346) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f2780,plain,
    ( c3_1(a346)
    | ~ spl0_60
    | spl0_76
    | spl0_77 ),
    inference(subsumption_resolution,[],[f2766,f573]) ).

fof(f573,plain,
    ( ~ c0_1(a346)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f571,plain,
    ( spl0_77
  <=> c0_1(a346) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f2766,plain,
    ( c0_1(a346)
    | c3_1(a346)
    | ~ spl0_60
    | spl0_76 ),
    inference(resolution,[],[f483,f568]) ).

fof(f568,plain,
    ( ~ c1_1(a346)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f566,plain,
    ( spl0_76
  <=> c1_1(a346) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f483,plain,
    ( ! [X79] :
        ( c1_1(X79)
        | c0_1(X79)
        | c3_1(X79) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f482,plain,
    ( spl0_60
  <=> ! [X79] :
        ( c3_1(X79)
        | c0_1(X79)
        | c1_1(X79) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f2771,plain,
    ( spl0_56
    | ~ spl0_54
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f2768,f482,f451,f464]) ).

fof(f2768,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_54
    | ~ spl0_60 ),
    inference(duplicate_literal_removal,[],[f2751]) ).

fof(f2751,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_54
    | ~ spl0_60 ),
    inference(resolution,[],[f483,f452]) ).

fof(f2698,plain,
    ( ~ spl0_56
    | spl0_150
    | spl0_151
    | spl0_152 ),
    inference(avatar_contradiction_clause,[],[f2697]) ).

fof(f2697,plain,
    ( $false
    | ~ spl0_56
    | spl0_150
    | spl0_151
    | spl0_152 ),
    inference(subsumption_resolution,[],[f2696,f968]) ).

fof(f968,plain,
    ( ~ c2_1(a294)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f966,plain,
    ( spl0_151
  <=> c2_1(a294) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f2696,plain,
    ( c2_1(a294)
    | ~ spl0_56
    | spl0_150
    | spl0_152 ),
    inference(subsumption_resolution,[],[f2687,f973]) ).

fof(f973,plain,
    ( ~ c0_1(a294)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f971]) ).

fof(f971,plain,
    ( spl0_152
  <=> c0_1(a294) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f2687,plain,
    ( c0_1(a294)
    | c2_1(a294)
    | ~ spl0_56
    | spl0_150 ),
    inference(resolution,[],[f465,f963]) ).

fof(f963,plain,
    ( ~ c3_1(a294)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f961,plain,
    ( spl0_150
  <=> c3_1(a294) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f2680,plain,
    ( spl0_105
    | spl0_106
    | ~ spl0_54
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2443,f731,f451,f726,f721]) ).

fof(f731,plain,
    ( spl0_107
  <=> c1_1(a320) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2443,plain,
    ( c0_1(a320)
    | c2_1(a320)
    | ~ spl0_54
    | ~ spl0_107 ),
    inference(resolution,[],[f452,f733]) ).

fof(f733,plain,
    ( c1_1(a320)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f2677,plain,
    ( spl0_52
    | ~ spl0_54
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f2603,f468,f451,f442]) ).

fof(f468,plain,
    ( spl0_57
  <=> ! [X69] :
        ( ~ c3_1(X69)
        | c0_1(X69)
        | c1_1(X69) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f2603,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_54
    | ~ spl0_57 ),
    inference(duplicate_literal_removal,[],[f2586]) ).

fof(f2586,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_54
    | ~ spl0_57 ),
    inference(resolution,[],[f469,f452]) ).

fof(f469,plain,
    ( ! [X69] :
        ( c1_1(X69)
        | c0_1(X69)
        | ~ c3_1(X69) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f2676,plain,
    ( spl0_165
    | spl0_132
    | ~ spl0_33
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2509,f875,f359,f865,f2357]) ).

fof(f2357,plain,
    ( spl0_165
  <=> c3_1(a302) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f865,plain,
    ( spl0_132
  <=> c2_1(a302) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f359,plain,
    ( spl0_33
  <=> ! [X19] :
        ( ~ c0_1(X19)
        | c2_1(X19)
        | c3_1(X19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f875,plain,
    ( spl0_134
  <=> c0_1(a302) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2509,plain,
    ( c2_1(a302)
    | c3_1(a302)
    | ~ spl0_33
    | ~ spl0_134 ),
    inference(resolution,[],[f360,f877]) ).

fof(f877,plain,
    ( c0_1(a302)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f875]) ).

fof(f360,plain,
    ( ! [X19] :
        ( ~ c0_1(X19)
        | c2_1(X19)
        | c3_1(X19) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f2663,plain,
    ( ~ spl0_44
    | ~ spl0_54
    | spl0_91
    | ~ spl0_92 ),
    inference(avatar_contradiction_clause,[],[f2662]) ).

fof(f2662,plain,
    ( $false
    | ~ spl0_44
    | ~ spl0_54
    | spl0_91
    | ~ spl0_92 ),
    inference(subsumption_resolution,[],[f2656,f648]) ).

fof(f648,plain,
    ( ~ c2_1(a333)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f646]) ).

fof(f646,plain,
    ( spl0_91
  <=> c2_1(a333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f2656,plain,
    ( c2_1(a333)
    | ~ spl0_44
    | ~ spl0_54
    | ~ spl0_92 ),
    inference(resolution,[],[f2621,f653]) ).

fof(f653,plain,
    ( c1_1(a333)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f651,plain,
    ( spl0_92
  <=> c1_1(a333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f2621,plain,
    ( ! [X35] :
        ( ~ c1_1(X35)
        | c2_1(X35) )
    | ~ spl0_44
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f409,f452]) ).

fof(f409,plain,
    ( ! [X35] :
        ( ~ c0_1(X35)
        | c2_1(X35)
        | ~ c1_1(X35) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f408,plain,
    ( spl0_44
  <=> ! [X35] :
        ( ~ c1_1(X35)
        | c2_1(X35)
        | ~ c0_1(X35) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f2643,plain,
    ( ~ spl0_166
    | spl0_140
    | ~ spl0_57
    | spl0_139 ),
    inference(avatar_split_clause,[],[f2589,f902,f468,f907,f2640]) ).

fof(f902,plain,
    ( spl0_139
  <=> c1_1(a300) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2589,plain,
    ( c0_1(a300)
    | ~ c3_1(a300)
    | ~ spl0_57
    | spl0_139 ),
    inference(resolution,[],[f469,f904]) ).

fof(f904,plain,
    ( ~ c1_1(a300)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f902]) ).

fof(f2638,plain,
    ( ~ spl0_33
    | ~ spl0_56
    | ~ spl0_57
    | spl0_138
    | spl0_139
    | spl0_140 ),
    inference(avatar_contradiction_clause,[],[f2637]) ).

fof(f2637,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_56
    | ~ spl0_57
    | spl0_138
    | spl0_139
    | spl0_140 ),
    inference(subsumption_resolution,[],[f2636,f899]) ).

fof(f2636,plain,
    ( c2_1(a300)
    | ~ spl0_33
    | ~ spl0_56
    | ~ spl0_57
    | spl0_139
    | spl0_140 ),
    inference(resolution,[],[f2605,f2577]) ).

fof(f2577,plain,
    ( ! [X68] :
        ( c3_1(X68)
        | c2_1(X68) )
    | ~ spl0_33
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f465,f360]) ).

fof(f2605,plain,
    ( ~ c3_1(a300)
    | ~ spl0_57
    | spl0_139
    | spl0_140 ),
    inference(subsumption_resolution,[],[f2589,f909]) ).

fof(f2616,plain,
    ( spl0_88
    | ~ spl0_57
    | spl0_87
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f2615,f635,f625,f468,f630]) ).

fof(f625,plain,
    ( spl0_87
  <=> c1_1(a336) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f2615,plain,
    ( c0_1(a336)
    | ~ spl0_57
    | spl0_87
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f2598,f637]) ).

fof(f2598,plain,
    ( c0_1(a336)
    | ~ c3_1(a336)
    | ~ spl0_57
    | spl0_87 ),
    inference(resolution,[],[f469,f627]) ).

fof(f627,plain,
    ( ~ c1_1(a336)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f2567,plain,
    ( ~ spl0_28
    | ~ spl0_47
    | ~ spl0_103
    | ~ spl0_104 ),
    inference(avatar_contradiction_clause,[],[f2566]) ).

fof(f2566,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_47
    | ~ spl0_103
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f2547,f712]) ).

fof(f712,plain,
    ( c3_1(a321)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f710,plain,
    ( spl0_103
  <=> c3_1(a321) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f2547,plain,
    ( ~ c3_1(a321)
    | ~ spl0_28
    | ~ spl0_47
    | ~ spl0_104 ),
    inference(resolution,[],[f2535,f717]) ).

fof(f717,plain,
    ( c2_1(a321)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f715,plain,
    ( spl0_104
  <=> c2_1(a321) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f2535,plain,
    ( ! [X39] :
        ( ~ c2_1(X39)
        | ~ c3_1(X39) )
    | ~ spl0_28
    | ~ spl0_47 ),
    inference(subsumption_resolution,[],[f421,f337]) ).

fof(f337,plain,
    ( ! [X7] :
        ( ~ c0_1(X7)
        | ~ c3_1(X7)
        | ~ c2_1(X7) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f336,plain,
    ( spl0_28
  <=> ! [X7] :
        ( ~ c3_1(X7)
        | ~ c0_1(X7)
        | ~ c2_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f2456,plain,
    ( spl0_163
    | ~ spl0_54
    | spl0_145
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2447,f939,f934,f451,f2200]) ).

fof(f2447,plain,
    ( c2_1(a297)
    | ~ spl0_54
    | spl0_145
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2438,f936]) ).

fof(f2438,plain,
    ( c0_1(a297)
    | c2_1(a297)
    | ~ spl0_54
    | ~ spl0_146 ),
    inference(resolution,[],[f452,f941]) ).

fof(f2360,plain,
    ( ~ spl0_165
    | spl0_133
    | ~ spl0_39
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2208,f875,f385,f870,f2357]) ).

fof(f870,plain,
    ( spl0_133
  <=> c1_1(a302) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f385,plain,
    ( spl0_39
  <=> ! [X24] :
        ( ~ c3_1(X24)
        | c1_1(X24)
        | ~ c0_1(X24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f2208,plain,
    ( c1_1(a302)
    | ~ c3_1(a302)
    | ~ spl0_39
    | ~ spl0_134 ),
    inference(resolution,[],[f386,f877]) ).

fof(f386,plain,
    ( ! [X24] :
        ( ~ c0_1(X24)
        | c1_1(X24)
        | ~ c3_1(X24) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f2290,plain,
    ( ~ spl0_54
    | spl0_120
    | ~ spl0_122
    | spl0_160 ),
    inference(avatar_contradiction_clause,[],[f2289]) ).

fof(f2289,plain,
    ( $false
    | ~ spl0_54
    | spl0_120
    | ~ spl0_122
    | spl0_160 ),
    inference(subsumption_resolution,[],[f2288,f1973]) ).

fof(f1973,plain,
    ( ~ c2_1(a308)
    | spl0_160 ),
    inference(avatar_component_clause,[],[f1972]) ).

fof(f1972,plain,
    ( spl0_160
  <=> c2_1(a308) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f2288,plain,
    ( c2_1(a308)
    | ~ spl0_54
    | spl0_120
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f2277,f803]) ).

fof(f803,plain,
    ( ~ c0_1(a308)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f801,plain,
    ( spl0_120
  <=> c0_1(a308) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f2277,plain,
    ( c0_1(a308)
    | c2_1(a308)
    | ~ spl0_54
    | ~ spl0_122 ),
    inference(resolution,[],[f452,f813]) ).

fof(f813,plain,
    ( c1_1(a308)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f811,plain,
    ( spl0_122
  <=> c1_1(a308) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f2287,plain,
    ( spl0_52
    | ~ spl0_43
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f2286,f451,f403,f442]) ).

fof(f403,plain,
    ( spl0_43
  <=> ! [X33] :
        ( ~ c3_1(X33)
        | c1_1(X33)
        | c2_1(X33) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f2286,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_43
    | ~ spl0_54 ),
    inference(duplicate_literal_removal,[],[f2271]) ).

fof(f2271,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_43
    | ~ spl0_54 ),
    inference(resolution,[],[f452,f404]) ).

fof(f404,plain,
    ( ! [X33] :
        ( c1_1(X33)
        | ~ c3_1(X33)
        | c2_1(X33) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f2266,plain,
    ( ~ spl0_55
    | spl0_120
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f2265]) ).

fof(f2265,plain,
    ( $false
    | ~ spl0_55
    | spl0_120
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f2264,f808]) ).

fof(f808,plain,
    ( c3_1(a308)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f806]) ).

fof(f806,plain,
    ( spl0_121
  <=> c3_1(a308) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f2264,plain,
    ( ~ c3_1(a308)
    | ~ spl0_55
    | spl0_120
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f2254,f803]) ).

fof(f2254,plain,
    ( c0_1(a308)
    | ~ c3_1(a308)
    | ~ spl0_55
    | ~ spl0_122 ),
    inference(resolution,[],[f461,f813]) ).

fof(f461,plain,
    ( ! [X63] :
        ( ~ c1_1(X63)
        | c0_1(X63)
        | ~ c3_1(X63) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f460,plain,
    ( spl0_55
  <=> ! [X63] :
        ( ~ c3_1(X63)
        | c0_1(X63)
        | ~ c1_1(X63) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f2171,plain,
    ( ~ spl0_29
    | ~ spl0_51
    | spl0_93
    | ~ spl0_95 ),
    inference(avatar_contradiction_clause,[],[f2170]) ).

fof(f2170,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_51
    | spl0_93
    | ~ spl0_95 ),
    inference(subsumption_resolution,[],[f2160,f659]) ).

fof(f659,plain,
    ( ~ c3_1(a330)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f657,plain,
    ( spl0_93
  <=> c3_1(a330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f2160,plain,
    ( c3_1(a330)
    | ~ spl0_29
    | ~ spl0_51
    | ~ spl0_95 ),
    inference(resolution,[],[f2122,f669]) ).

fof(f669,plain,
    ( c1_1(a330)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f667,plain,
    ( spl0_95
  <=> c1_1(a330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f2122,plain,
    ( ! [X9] :
        ( ~ c1_1(X9)
        | c3_1(X9) )
    | ~ spl0_29
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f341,f439]) ).

fof(f439,plain,
    ( ! [X49] :
        ( ~ c1_1(X49)
        | c0_1(X49)
        | c3_1(X49) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f438,plain,
    ( spl0_51
  <=> ! [X49] :
        ( ~ c1_1(X49)
        | c0_1(X49)
        | c3_1(X49) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f341,plain,
    ( ! [X9] :
        ( ~ c0_1(X9)
        | c3_1(X9)
        | ~ c1_1(X9) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f340,plain,
    ( spl0_29
  <=> ! [X9] :
        ( ~ c1_1(X9)
        | c3_1(X9)
        | ~ c0_1(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f2165,plain,
    ( ~ spl0_29
    | ~ spl0_51
    | spl0_144
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f2164]) ).

fof(f2164,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_51
    | spl0_144
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2152,f931]) ).

fof(f2152,plain,
    ( c3_1(a297)
    | ~ spl0_29
    | ~ spl0_51
    | ~ spl0_146 ),
    inference(resolution,[],[f2122,f941]) ).

fof(f2083,plain,
    ( ~ spl0_49
    | ~ spl0_54
    | ~ spl0_57
    | spl0_81
    | ~ spl0_82 ),
    inference(avatar_contradiction_clause,[],[f2082]) ).

fof(f2082,plain,
    ( $false
    | ~ spl0_49
    | ~ spl0_54
    | ~ spl0_57
    | spl0_81
    | ~ spl0_82 ),
    inference(subsumption_resolution,[],[f2070,f595]) ).

fof(f595,plain,
    ( ~ c0_1(a341)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f593,plain,
    ( spl0_81
  <=> c0_1(a341) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f2070,plain,
    ( c0_1(a341)
    | ~ spl0_49
    | ~ spl0_54
    | ~ spl0_57
    | ~ spl0_82 ),
    inference(resolution,[],[f2054,f600]) ).

fof(f600,plain,
    ( c3_1(a341)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f598,plain,
    ( spl0_82
  <=> c3_1(a341) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f2054,plain,
    ( ! [X69] :
        ( ~ c3_1(X69)
        | c0_1(X69) )
    | ~ spl0_49
    | ~ spl0_54
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f469,f1950]) ).

fof(f1950,plain,
    ( ! [X53] :
        ( ~ c1_1(X53)
        | c0_1(X53) )
    | ~ spl0_49
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f452,f430]) ).

fof(f2050,plain,
    ( ~ spl0_50
    | ~ spl0_56
    | spl0_75
    | spl0_77 ),
    inference(avatar_contradiction_clause,[],[f2049]) ).

fof(f2049,plain,
    ( $false
    | ~ spl0_50
    | ~ spl0_56
    | spl0_75
    | spl0_77 ),
    inference(subsumption_resolution,[],[f2038,f573]) ).

fof(f2038,plain,
    ( c0_1(a346)
    | ~ spl0_50
    | ~ spl0_56
    | spl0_75 ),
    inference(resolution,[],[f2022,f563]) ).

fof(f2022,plain,
    ( ! [X68] :
        ( c3_1(X68)
        | c0_1(X68) )
    | ~ spl0_50
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f465,f435]) ).

fof(f435,plain,
    ( ! [X47] :
        ( c3_1(X47)
        | c0_1(X47)
        | ~ c2_1(X47) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f434,plain,
    ( spl0_50
  <=> ! [X47] :
        ( ~ c2_1(X47)
        | c0_1(X47)
        | c3_1(X47) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1976,plain,
    ( ~ spl0_160
    | spl0_120
    | ~ spl0_49
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1821,f811,f429,f801,f1972]) ).

fof(f1821,plain,
    ( c0_1(a308)
    | ~ c2_1(a308)
    | ~ spl0_49
    | ~ spl0_122 ),
    inference(resolution,[],[f430,f813]) ).

fof(f1760,plain,
    ( ~ spl0_28
    | ~ spl0_43
    | spl0_111
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(avatar_contradiction_clause,[],[f1759]) ).

fof(f1759,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_43
    | spl0_111
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(subsumption_resolution,[],[f1758,f1700]) ).

fof(f1700,plain,
    ( ~ c2_1(a313)
    | ~ spl0_28
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(subsumption_resolution,[],[f1650,f760]) ).

fof(f760,plain,
    ( c3_1(a313)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f758,plain,
    ( spl0_112
  <=> c3_1(a313) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1650,plain,
    ( ~ c3_1(a313)
    | ~ c2_1(a313)
    | ~ spl0_28
    | ~ spl0_113 ),
    inference(resolution,[],[f337,f765]) ).

fof(f765,plain,
    ( c0_1(a313)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f763]) ).

fof(f763,plain,
    ( spl0_113
  <=> c0_1(a313) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1758,plain,
    ( c2_1(a313)
    | ~ spl0_43
    | spl0_111
    | ~ spl0_112 ),
    inference(subsumption_resolution,[],[f1744,f760]) ).

fof(f1744,plain,
    ( ~ c3_1(a313)
    | c2_1(a313)
    | ~ spl0_43
    | spl0_111 ),
    inference(resolution,[],[f404,f755]) ).

fof(f755,plain,
    ( ~ c1_1(a313)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f753,plain,
    ( spl0_111
  <=> c1_1(a313) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1586,plain,
    ( ~ spl0_34
    | spl0_102
    | ~ spl0_103
    | ~ spl0_104 ),
    inference(avatar_contradiction_clause,[],[f1585]) ).

fof(f1585,plain,
    ( $false
    | ~ spl0_34
    | spl0_102
    | ~ spl0_103
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f1584,f712]) ).

fof(f1584,plain,
    ( ~ c3_1(a321)
    | ~ spl0_34
    | spl0_102
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f1572,f707]) ).

fof(f707,plain,
    ( ~ c1_1(a321)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f705,plain,
    ( spl0_102
  <=> c1_1(a321) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1572,plain,
    ( c1_1(a321)
    | ~ c3_1(a321)
    | ~ spl0_34
    | ~ spl0_104 ),
    inference(resolution,[],[f364,f717]) ).

fof(f364,plain,
    ( ! [X20] :
        ( ~ c2_1(X20)
        | c1_1(X20)
        | ~ c3_1(X20) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f363,plain,
    ( spl0_34
  <=> ! [X20] :
        ( ~ c3_1(X20)
        | c1_1(X20)
        | ~ c2_1(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1536,plain,
    ( ~ spl0_36
    | ~ spl0_59
    | spl0_102
    | ~ spl0_104 ),
    inference(avatar_contradiction_clause,[],[f1535]) ).

fof(f1535,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_59
    | spl0_102
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f1524,f717]) ).

fof(f1524,plain,
    ( ~ c2_1(a321)
    | ~ spl0_36
    | ~ spl0_59
    | spl0_102 ),
    inference(resolution,[],[f1515,f707]) ).

fof(f1515,plain,
    ( ! [X73] :
        ( c1_1(X73)
        | ~ c2_1(X73) )
    | ~ spl0_36
    | ~ spl0_59 ),
    inference(subsumption_resolution,[],[f478,f372]) ).

fof(f372,plain,
    ( ! [X21] :
        ( ~ c0_1(X21)
        | c1_1(X21)
        | ~ c2_1(X21) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f371,plain,
    ( spl0_36
  <=> ! [X21] :
        ( ~ c2_1(X21)
        | c1_1(X21)
        | ~ c0_1(X21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f478,plain,
    ( ! [X73] :
        ( ~ c2_1(X73)
        | c0_1(X73)
        | c1_1(X73) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f477,plain,
    ( spl0_59
  <=> ! [X73] :
        ( ~ c2_1(X73)
        | c0_1(X73)
        | c1_1(X73) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1532,plain,
    ( ~ spl0_36
    | ~ spl0_59
    | spl0_126
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f1531]) ).

fof(f1531,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_59
    | spl0_126
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f1521,f845]) ).

fof(f845,plain,
    ( c2_1(a305)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f843,plain,
    ( spl0_128
  <=> c2_1(a305) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1521,plain,
    ( ~ c2_1(a305)
    | ~ spl0_36
    | ~ spl0_59
    | spl0_126 ),
    inference(resolution,[],[f1515,f835]) ).

fof(f835,plain,
    ( ~ c1_1(a305)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f833,plain,
    ( spl0_126
  <=> c1_1(a305) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1530,plain,
    ( ~ spl0_36
    | ~ spl0_59
    | spl0_136
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f1529]) ).

fof(f1529,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_59
    | spl0_136
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1519,f893]) ).

fof(f893,plain,
    ( c2_1(a301)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f891,plain,
    ( spl0_137
  <=> c2_1(a301) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1519,plain,
    ( ~ c2_1(a301)
    | ~ spl0_36
    | ~ spl0_59
    | spl0_136 ),
    inference(resolution,[],[f1515,f888]) ).

fof(f888,plain,
    ( ~ c1_1(a301)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f886,plain,
    ( spl0_136
  <=> c1_1(a301) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1481,plain,
    ( ~ spl0_33
    | ~ spl0_56
    | spl0_84
    | spl0_85 ),
    inference(avatar_contradiction_clause,[],[f1480]) ).

fof(f1480,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_56
    | spl0_84
    | spl0_85 ),
    inference(subsumption_resolution,[],[f1474,f616]) ).

fof(f1474,plain,
    ( c2_1(a338)
    | ~ spl0_33
    | ~ spl0_56
    | spl0_84 ),
    inference(resolution,[],[f1466,f611]) ).

fof(f1466,plain,
    ( ! [X68] :
        ( c3_1(X68)
        | c2_1(X68) )
    | ~ spl0_33
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f465,f360]) ).

fof(f1457,plain,
    ( ~ spl0_52
    | spl0_114
    | spl0_115
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f1456]) ).

fof(f1456,plain,
    ( $false
    | ~ spl0_52
    | spl0_114
    | spl0_115
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f1455,f771]) ).

fof(f1455,plain,
    ( c2_1(a310)
    | ~ spl0_52
    | spl0_115
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f1446,f776]) ).

fof(f1446,plain,
    ( c0_1(a310)
    | c2_1(a310)
    | ~ spl0_52
    | ~ spl0_116 ),
    inference(resolution,[],[f443,f781]) ).

fof(f781,plain,
    ( c3_1(a310)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f779,plain,
    ( spl0_116
  <=> c3_1(a310) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1436,plain,
    ( spl0_73
    | ~ spl0_33
    | spl0_72
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1435,f555,f545,f359,f550]) ).

fof(f550,plain,
    ( spl0_73
  <=> c2_1(a349) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f545,plain,
    ( spl0_72
  <=> c3_1(a349) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f555,plain,
    ( spl0_74
  <=> c0_1(a349) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1435,plain,
    ( c2_1(a349)
    | ~ spl0_33
    | spl0_72
    | ~ spl0_74 ),
    inference(subsumption_resolution,[],[f1426,f547]) ).

fof(f547,plain,
    ( ~ c3_1(a349)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f1426,plain,
    ( c2_1(a349)
    | c3_1(a349)
    | ~ spl0_33
    | ~ spl0_74 ),
    inference(resolution,[],[f360,f557]) ).

fof(f557,plain,
    ( c0_1(a349)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f1387,plain,
    ( spl0_147
    | ~ spl0_36
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1386,f955,f950,f371,f945]) ).

fof(f945,plain,
    ( spl0_147
  <=> c1_1(a295) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f950,plain,
    ( spl0_148
  <=> c2_1(a295) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f955,plain,
    ( spl0_149
  <=> c0_1(a295) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1386,plain,
    ( c1_1(a295)
    | ~ spl0_36
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f1382,f952]) ).

fof(f952,plain,
    ( c2_1(a295)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f950]) ).

fof(f1382,plain,
    ( c1_1(a295)
    | ~ c2_1(a295)
    | ~ spl0_36
    | ~ spl0_149 ),
    inference(resolution,[],[f957,f372]) ).

fof(f957,plain,
    ( c0_1(a295)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f955]) ).

fof(f1385,plain,
    ( ~ spl0_36
    | spl0_147
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f1384]) ).

fof(f1384,plain,
    ( $false
    | ~ spl0_36
    | spl0_147
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f1383,f952]) ).

fof(f1383,plain,
    ( ~ c2_1(a295)
    | ~ spl0_36
    | spl0_147
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f1382,f947]) ).

fof(f947,plain,
    ( ~ c1_1(a295)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f945]) ).

fof(f1341,plain,
    ( spl0_91
    | ~ spl0_30
    | ~ spl0_31
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1331,f651,f349,f345,f646]) ).

fof(f345,plain,
    ( spl0_30
  <=> ! [X12] :
        ( ~ c3_1(X12)
        | c2_1(X12)
        | ~ c1_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f349,plain,
    ( spl0_31
  <=> ! [X13] :
        ( ~ c1_1(X13)
        | c2_1(X13)
        | c3_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1331,plain,
    ( c2_1(a333)
    | ~ spl0_30
    | ~ spl0_31
    | ~ spl0_92 ),
    inference(resolution,[],[f1307,f653]) ).

fof(f1307,plain,
    ( ! [X13] :
        ( ~ c1_1(X13)
        | c2_1(X13) )
    | ~ spl0_30
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f350,f346]) ).

fof(f346,plain,
    ( ! [X12] :
        ( ~ c1_1(X12)
        | c2_1(X12)
        | ~ c3_1(X12) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f350,plain,
    ( ! [X13] :
        ( ~ c1_1(X13)
        | c2_1(X13)
        | c3_1(X13) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f1170,plain,
    ( spl0_141
    | ~ spl0_30
    | ~ spl0_43
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1165,f918,f403,f345,f913]) ).

fof(f913,plain,
    ( spl0_141
  <=> c2_1(a299) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f918,plain,
    ( spl0_142
  <=> c3_1(a299) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1165,plain,
    ( c2_1(a299)
    | ~ spl0_30
    | ~ spl0_43
    | ~ spl0_142 ),
    inference(resolution,[],[f920,f1126]) ).

fof(f1126,plain,
    ( ! [X33] :
        ( ~ c3_1(X33)
        | c2_1(X33) )
    | ~ spl0_30
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f404,f346]) ).

fof(f920,plain,
    ( c3_1(a299)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f1158,plain,
    ( spl0_114
    | ~ spl0_30
    | ~ spl0_43
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1139,f779,f403,f345,f769]) ).

fof(f1139,plain,
    ( c2_1(a310)
    | ~ spl0_30
    | ~ spl0_43
    | ~ spl0_116 ),
    inference(resolution,[],[f1126,f781]) ).

fof(f1104,plain,
    ( ~ spl0_30
    | spl0_117
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(avatar_contradiction_clause,[],[f1103]) ).

fof(f1103,plain,
    ( $false
    | ~ spl0_30
    | spl0_117
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f1102,f792]) ).

fof(f792,plain,
    ( c3_1(a309)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f790,plain,
    ( spl0_118
  <=> c3_1(a309) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1102,plain,
    ( ~ c3_1(a309)
    | ~ spl0_30
    | spl0_117
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f1097,f787]) ).

fof(f787,plain,
    ( ~ c2_1(a309)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f785,plain,
    ( spl0_117
  <=> c2_1(a309) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1097,plain,
    ( c2_1(a309)
    | ~ c3_1(a309)
    | ~ spl0_30
    | ~ spl0_119 ),
    inference(resolution,[],[f797,f346]) ).

fof(f797,plain,
    ( c1_1(a309)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f795,plain,
    ( spl0_119
  <=> c1_1(a309) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1070,plain,
    ( ~ spl0_153
    | spl0_105
    | ~ spl0_30
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1042,f731,f345,f721,f1067]) ).

fof(f1042,plain,
    ( c2_1(a320)
    | ~ c3_1(a320)
    | ~ spl0_30
    | ~ spl0_107 ),
    inference(resolution,[],[f733,f346]) ).

fof(f1028,plain,
    ( ~ spl0_34
    | ~ spl0_43
    | spl0_87
    | ~ spl0_89 ),
    inference(avatar_contradiction_clause,[],[f1027]) ).

fof(f1027,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_43
    | spl0_87
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f1023,f627]) ).

fof(f1023,plain,
    ( c1_1(a336)
    | ~ spl0_34
    | ~ spl0_43
    | ~ spl0_89 ),
    inference(resolution,[],[f1020,f637]) ).

fof(f1020,plain,
    ( ! [X33] :
        ( ~ c3_1(X33)
        | c1_1(X33) )
    | ~ spl0_34
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f404,f364]) ).

fof(f974,plain,
    ( ~ spl0_48
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f8,f971,f423]) ).

fof(f423,plain,
    ( spl0_48
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f8,plain,
    ( ~ c0_1(a294)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp25
      | hskp12
      | hskp20 )
    & ( hskp16
      | hskp26 )
    & ( hskp12
      | hskp11
      | hskp26 )
    & ( hskp23
      | hskp15
      | hskp6 )
    & ( hskp24
      | hskp5
      | hskp17 )
    & ( hskp10
      | hskp1
      | hskp7 )
    & ( hskp10
      | hskp27
      | hskp29 )
    & ( hskp28
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp17
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp26
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp6
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp15
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c2_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c2_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp23
      | ! [X9] :
          ( ~ c1_1(X9)
          | ~ c0_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp17
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( ! [X11] :
          ( ~ c3_1(X11)
          | ~ c2_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X13] :
          ( ~ c1_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c1_1(X14)
          | ~ c0_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c1_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( ! [X16] :
          ( ~ c3_1(X16)
          | ~ c1_1(X16)
          | ~ c0_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c1_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c1_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X19] :
          ( ~ c0_1(X19)
          | c3_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp27
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp11
      | ! [X21] :
          ( ~ c2_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp19
      | ! [X22] :
          ( ~ c2_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp17
      | ! [X23] :
          ( ~ c2_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c2_1(X25)
          | ~ c0_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp11
      | ! [X26] :
          ( ~ c2_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X27] :
          ( ~ c1_1(X27)
          | c3_1(X27)
          | c2_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c2_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X29] :
          ( ~ c1_1(X29)
          | c3_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c0_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X31] :
          ( ~ c2_1(X31)
          | c3_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X33] :
          ( ~ c3_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp6
      | ! [X34] :
          ( ~ c3_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X35] :
          ( ~ c1_1(X35)
          | ~ c0_1(X35)
          | c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X37] :
          ( ~ c3_1(X37)
          | ~ c1_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c0_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp14
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c2_1(X39)
          | c0_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X40] :
          ( ~ c1_1(X40)
          | c3_1(X40)
          | c2_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X42] :
          ( ~ c1_1(X42)
          | ~ c0_1(X42)
          | c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c2_1(X43)
          | ~ c1_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X44] :
          ( ~ c0_1(X44)
          | c3_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c2_1(X45)
          | ~ c1_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c1_1(X46)
          | c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c2_1(X47)
          | c3_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c1_1(X48)
          | c2_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c1_1(X49)
          | c3_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp10
      | ! [X50] :
          ( ~ c3_1(X50)
          | c2_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X51] :
          ( ~ c2_1(X51)
          | ~ c0_1(X51)
          | c3_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c3_1(X52)
          | c2_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp8
      | ! [X53] :
          ( ~ c1_1(X53)
          | c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp7
      | ! [X54] :
          ( ~ c1_1(X54)
          | c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X55] :
          ( ~ c1_1(X55)
          | ~ c0_1(X55)
          | c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c1_1(X56)
          | c2_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c0_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c1_1(X58)
          | c2_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X59] :
          ( ~ c2_1(X59)
          | ~ c0_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c1_1(X60)
          | c2_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X61] :
          ( ~ c1_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c1_1(X62)
          | c2_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( ! [X63] :
          ( ~ c3_1(X63)
          | ~ c1_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c1_1(X64)
          | c3_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c1_1(X65)
          | c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c3_1(X66)
          | ~ c2_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c1_1(X67)
          | c2_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp2
      | ! [X69] :
          ( ~ c3_1(X69)
          | c1_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c1_1(X70)
          | c2_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | c1_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X72] :
          ( ~ c3_1(X72)
          | ~ c2_1(X72)
          | c1_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c2_1(X73)
          | c1_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( ~ c2_1(X74)
          | ~ c1_1(X74)
          | c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c2_1(X76)
          | c1_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( ~ c2_1(X77)
          | ~ c0_1(X77)
          | c3_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c3_1(X79)
          | c1_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( ~ c3_1(X80)
          | ~ c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c3_1(X82)
          | c1_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X83] :
          ( ~ c1_1(X83)
          | ~ c0_1(X83)
          | c2_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c2_1(X84)
          | c1_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( ! [X85] :
          ( ~ c3_1(X85)
          | ~ c1_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c2_1(X86)
          | ~ c0_1(X86)
          | c1_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c2_1(X87)
          | c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X88] :
          ( ~ c3_1(X88)
          | ~ c1_1(X88)
          | c2_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c3_1(X89)
          | c2_1(X89)
          | c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c2_1(X90)
          | c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( ~ c2_1(X91)
          | ~ c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c3_1(X92)
          | c2_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c2_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a354)
        & c1_1(a354)
        & c0_1(a354)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a353)
        & c2_1(a353)
        & c1_1(a353)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a334)
        & c2_1(a334)
        & c0_1(a334)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a349)
        & ~ c2_1(a349)
        & c0_1(a349)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a346)
        & ~ c1_1(a346)
        & ~ c0_1(a346)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a342)
        & ~ c1_1(a342)
        & c3_1(a342)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a341)
        & c3_1(a341)
        & c2_1(a341)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a338)
        & ~ c2_1(a338)
        & ~ c1_1(a338)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a336)
        & ~ c0_1(a336)
        & c3_1(a336)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a333)
        & ~ c2_1(a333)
        & c1_1(a333)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a330)
        & c2_1(a330)
        & c1_1(a330)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a329)
        & ~ c0_1(a329)
        & c2_1(a329)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a323)
        & c2_1(a323)
        & c0_1(a323)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a321)
        & c3_1(a321)
        & c2_1(a321)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a320)
        & ~ c0_1(a320)
        & c1_1(a320)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a315)
        & c2_1(a315)
        & c1_1(a315)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a313)
        & c3_1(a313)
        & c0_1(a313)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a310)
        & ~ c0_1(a310)
        & c3_1(a310)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a309)
        & c3_1(a309)
        & c1_1(a309)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c0_1(a308)
        & c3_1(a308)
        & c1_1(a308)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a307)
        & ~ c1_1(a307)
        & c0_1(a307)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a305)
        & ~ c0_1(a305)
        & c2_1(a305)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a303)
        & c1_1(a303)
        & c0_1(a303)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a302)
        & ~ c1_1(a302)
        & c0_1(a302)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a301)
        & ~ c1_1(a301)
        & c2_1(a301)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a300)
        & ~ c1_1(a300)
        & ~ c0_1(a300)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a299)
        & c3_1(a299)
        & c0_1(a299)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a297)
        & ~ c0_1(a297)
        & c1_1(a297)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a295)
        & c2_1(a295)
        & c0_1(a295)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a294)
        & ~ c2_1(a294)
        & ~ c0_1(a294)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp25
      | hskp12
      | hskp20 )
    & ( hskp16
      | hskp26 )
    & ( hskp12
      | hskp11
      | hskp26 )
    & ( hskp23
      | hskp15
      | hskp6 )
    & ( hskp24
      | hskp5
      | hskp17 )
    & ( hskp10
      | hskp1
      | hskp7 )
    & ( hskp10
      | hskp27
      | hskp29 )
    & ( hskp28
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp17
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp26
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp6
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp15
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c2_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c2_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp23
      | ! [X9] :
          ( ~ c1_1(X9)
          | ~ c0_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp17
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( ! [X11] :
          ( ~ c3_1(X11)
          | ~ c2_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X13] :
          ( ~ c1_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c1_1(X14)
          | ~ c0_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c1_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( ! [X16] :
          ( ~ c3_1(X16)
          | ~ c1_1(X16)
          | ~ c0_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c1_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c1_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X19] :
          ( ~ c0_1(X19)
          | c3_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp27
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp11
      | ! [X21] :
          ( ~ c2_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp19
      | ! [X22] :
          ( ~ c2_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp17
      | ! [X23] :
          ( ~ c2_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c2_1(X25)
          | ~ c0_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp11
      | ! [X26] :
          ( ~ c2_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X27] :
          ( ~ c1_1(X27)
          | c3_1(X27)
          | c2_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c2_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X29] :
          ( ~ c1_1(X29)
          | c3_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c0_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X31] :
          ( ~ c2_1(X31)
          | c3_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X33] :
          ( ~ c3_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp6
      | ! [X34] :
          ( ~ c3_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X35] :
          ( ~ c1_1(X35)
          | ~ c0_1(X35)
          | c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X37] :
          ( ~ c3_1(X37)
          | ~ c1_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c0_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp14
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c2_1(X39)
          | c0_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X40] :
          ( ~ c1_1(X40)
          | c3_1(X40)
          | c2_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X42] :
          ( ~ c1_1(X42)
          | ~ c0_1(X42)
          | c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c2_1(X43)
          | ~ c1_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X44] :
          ( ~ c0_1(X44)
          | c3_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c2_1(X45)
          | ~ c1_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c1_1(X46)
          | c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c2_1(X47)
          | c3_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c1_1(X48)
          | c2_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c1_1(X49)
          | c3_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp10
      | ! [X50] :
          ( ~ c3_1(X50)
          | c2_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X51] :
          ( ~ c2_1(X51)
          | ~ c0_1(X51)
          | c3_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c3_1(X52)
          | c2_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp8
      | ! [X53] :
          ( ~ c1_1(X53)
          | c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp7
      | ! [X54] :
          ( ~ c1_1(X54)
          | c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X55] :
          ( ~ c1_1(X55)
          | ~ c0_1(X55)
          | c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c1_1(X56)
          | c2_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c0_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c1_1(X58)
          | c2_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X59] :
          ( ~ c2_1(X59)
          | ~ c0_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c1_1(X60)
          | c2_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X61] :
          ( ~ c1_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c1_1(X62)
          | c2_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( ! [X63] :
          ( ~ c3_1(X63)
          | ~ c1_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c1_1(X64)
          | c3_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c1_1(X65)
          | c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c3_1(X66)
          | ~ c2_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c1_1(X67)
          | c2_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp2
      | ! [X69] :
          ( ~ c3_1(X69)
          | c1_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c1_1(X70)
          | c2_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | c1_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X72] :
          ( ~ c3_1(X72)
          | ~ c2_1(X72)
          | c1_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c2_1(X73)
          | c1_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( ~ c2_1(X74)
          | ~ c1_1(X74)
          | c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c2_1(X76)
          | c1_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( ~ c2_1(X77)
          | ~ c0_1(X77)
          | c3_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c3_1(X79)
          | c1_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( ~ c3_1(X80)
          | ~ c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c3_1(X82)
          | c1_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X83] :
          ( ~ c1_1(X83)
          | ~ c0_1(X83)
          | c2_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c2_1(X84)
          | c1_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( ! [X85] :
          ( ~ c3_1(X85)
          | ~ c1_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c2_1(X86)
          | ~ c0_1(X86)
          | c1_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c2_1(X87)
          | c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X88] :
          ( ~ c3_1(X88)
          | ~ c1_1(X88)
          | c2_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c3_1(X89)
          | c2_1(X89)
          | c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c2_1(X90)
          | c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( ~ c2_1(X91)
          | ~ c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c3_1(X92)
          | c2_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c2_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a354)
        & c1_1(a354)
        & c0_1(a354)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a353)
        & c2_1(a353)
        & c1_1(a353)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a334)
        & c2_1(a334)
        & c0_1(a334)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a349)
        & ~ c2_1(a349)
        & c0_1(a349)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a346)
        & ~ c1_1(a346)
        & ~ c0_1(a346)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a342)
        & ~ c1_1(a342)
        & c3_1(a342)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a341)
        & c3_1(a341)
        & c2_1(a341)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a338)
        & ~ c2_1(a338)
        & ~ c1_1(a338)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a336)
        & ~ c0_1(a336)
        & c3_1(a336)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a333)
        & ~ c2_1(a333)
        & c1_1(a333)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a330)
        & c2_1(a330)
        & c1_1(a330)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a329)
        & ~ c0_1(a329)
        & c2_1(a329)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a323)
        & c2_1(a323)
        & c0_1(a323)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a321)
        & c3_1(a321)
        & c2_1(a321)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a320)
        & ~ c0_1(a320)
        & c1_1(a320)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a315)
        & c2_1(a315)
        & c1_1(a315)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a313)
        & c3_1(a313)
        & c0_1(a313)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a310)
        & ~ c0_1(a310)
        & c3_1(a310)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a309)
        & c3_1(a309)
        & c1_1(a309)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c0_1(a308)
        & c3_1(a308)
        & c1_1(a308)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a307)
        & ~ c1_1(a307)
        & c0_1(a307)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a305)
        & ~ c0_1(a305)
        & c2_1(a305)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a303)
        & c1_1(a303)
        & c0_1(a303)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a302)
        & ~ c1_1(a302)
        & c0_1(a302)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a301)
        & ~ c1_1(a301)
        & c2_1(a301)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a300)
        & ~ c1_1(a300)
        & ~ c0_1(a300)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a299)
        & c3_1(a299)
        & c0_1(a299)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a297)
        & ~ c0_1(a297)
        & c1_1(a297)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a295)
        & c2_1(a295)
        & c0_1(a295)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a294)
        & ~ c2_1(a294)
        & ~ c0_1(a294)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp25
      | hskp12
      | hskp20 )
    & ( hskp16
      | hskp26 )
    & ( hskp12
      | hskp11
      | hskp26 )
    & ( hskp23
      | hskp15
      | hskp6 )
    & ( hskp24
      | hskp5
      | hskp17 )
    & ( hskp10
      | hskp1
      | hskp7 )
    & ( hskp10
      | hskp27
      | hskp29 )
    & ( hskp28
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp21
      | hskp17
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c1_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp23
      | hskp26
      | ! [X2] :
          ( ndr1_0
         => ( ~ c2_1(X2)
            | ~ c1_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp8
      | hskp6
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp25
      | hskp15
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | c3_1(X4) ) ) )
    & ( hskp4
      | ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | ~ c2_1(X5)
            | ~ c1_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | ~ c1_1(X6)
            | c3_1(X6) ) ) )
    & ( hskp11
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c2_1(X7)
            | ~ c0_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | ~ c0_1(X8)
            | c3_1(X8) ) ) )
    & ( hskp24
      | hskp23
      | ! [X9] :
          ( ndr1_0
         => ( ~ c1_1(X9)
            | ~ c0_1(X9)
            | c3_1(X9) ) ) )
    & ( hskp4
      | hskp17
      | ! [X10] :
          ( ndr1_0
         => ( ~ c1_1(X10)
            | ~ c0_1(X10)
            | c3_1(X10) ) ) )
    & ( ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c2_1(X11)
            | ~ c0_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c1_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp22
      | ! [X13] :
          ( ndr1_0
         => ( ~ c1_1(X13)
            | c3_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp17
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | ~ c1_1(X14)
            | ~ c0_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | c3_1(X15)
            | c2_1(X15) ) ) )
    & ( ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | ~ c1_1(X16)
            | ~ c0_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c1_1(X17)
            | c2_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c1_1(X18)
            | c3_1(X18)
            | c2_1(X18) ) ) )
    & ( hskp21
      | ! [X19] :
          ( ndr1_0
         => ( ~ c0_1(X19)
            | c3_1(X19)
            | c2_1(X19) ) ) )
    & ( hskp3
      | hskp27
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c2_1(X20)
            | c1_1(X20) ) ) )
    & ( hskp20
      | hskp11
      | ! [X21] :
          ( ndr1_0
         => ( ~ c2_1(X21)
            | ~ c0_1(X21)
            | c1_1(X21) ) ) )
    & ( hskp12
      | hskp19
      | ! [X22] :
          ( ndr1_0
         => ( ~ c2_1(X22)
            | ~ c0_1(X22)
            | c1_1(X22) ) ) )
    & ( hskp18
      | hskp17
      | ! [X23] :
          ( ndr1_0
         => ( ~ c2_1(X23)
            | ~ c0_1(X23)
            | c1_1(X23) ) ) )
    & ( hskp4
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c0_1(X24)
            | c1_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c2_1(X25)
            | ~ c0_1(X25)
            | c1_1(X25) ) ) )
    & ( hskp16
      | hskp11
      | ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | c3_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp5
      | ! [X27] :
          ( ndr1_0
         => ( ~ c1_1(X27)
            | c3_1(X27)
            | c2_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | c3_1(X28)
            | c1_1(X28) ) ) )
    & ( hskp17
      | ! [X29] :
          ( ndr1_0
         => ( ~ c1_1(X29)
            | c3_1(X29)
            | c2_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c0_1(X30)
            | c3_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp13
      | ! [X31] :
          ( ndr1_0
         => ( ~ c2_1(X31)
            | c3_1(X31)
            | c1_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c0_1(X32)
            | c3_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp16
      | ! [X33] :
          ( ndr1_0
         => ( ~ c3_1(X33)
            | c2_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp15
      | hskp6
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | c2_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp7
      | ! [X35] :
          ( ndr1_0
         => ( ~ c1_1(X35)
            | ~ c0_1(X35)
            | c2_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | c2_1(X36)
            | c1_1(X36) ) ) )
    & ( hskp14
      | ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | ~ c1_1(X37)
            | c2_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c0_1(X38)
            | c2_1(X38)
            | c1_1(X38) ) ) )
    & ( hskp0
      | hskp14
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | ~ c2_1(X39)
            | c0_1(X39) ) ) )
    & ( hskp3
      | ! [X40] :
          ( ndr1_0
         => ( ~ c1_1(X40)
            | c3_1(X40)
            | c2_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c2_1(X41)
            | c0_1(X41) ) ) )
    & ( hskp13
      | ! [X42] :
          ( ndr1_0
         => ( ~ c1_1(X42)
            | ~ c0_1(X42)
            | c3_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c2_1(X43)
            | ~ c1_1(X43)
            | c0_1(X43) ) ) )
    & ( hskp12
      | ! [X44] :
          ( ndr1_0
         => ( ~ c0_1(X44)
            | c3_1(X44)
            | c2_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c2_1(X45)
            | ~ c1_1(X45)
            | c0_1(X45) ) ) )
    & ( hskp8
      | ! [X46] :
          ( ndr1_0
         => ( ~ c2_1(X46)
            | ~ c1_1(X46)
            | c3_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c2_1(X47)
            | c3_1(X47)
            | c0_1(X47) ) ) )
    & ( hskp12
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c1_1(X48)
            | c2_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c1_1(X49)
            | c3_1(X49)
            | c0_1(X49) ) ) )
    & ( hskp11
      | hskp10
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | c2_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp9
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | ~ c0_1(X51)
            | c3_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | c2_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp5
      | hskp8
      | ! [X53] :
          ( ndr1_0
         => ( ~ c1_1(X53)
            | c2_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp4
      | hskp7
      | ! [X54] :
          ( ndr1_0
         => ( ~ c1_1(X54)
            | c2_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp6
      | ! [X55] :
          ( ndr1_0
         => ( ~ c1_1(X55)
            | ~ c0_1(X55)
            | c3_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c1_1(X56)
            | c2_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp5
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c0_1(X57)
            | c1_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c1_1(X58)
            | c2_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp4
      | ! [X59] :
          ( ndr1_0
         => ( ~ c2_1(X59)
            | ~ c0_1(X59)
            | c1_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c1_1(X60)
            | c2_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp3
      | ! [X61] :
          ( ndr1_0
         => ( ~ c1_1(X61)
            | c3_1(X61)
            | c0_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c1_1(X62)
            | c2_1(X62)
            | c0_1(X62) ) ) )
    & ( ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c1_1(X63)
            | c0_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c1_1(X64)
            | c3_1(X64)
            | c0_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c1_1(X65)
            | c2_1(X65)
            | c0_1(X65) ) ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | ~ c2_1(X66)
            | c1_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c1_1(X67)
            | c2_1(X67)
            | c0_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( c3_1(X68)
            | c2_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp0
      | hskp2
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | c1_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp0
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | ~ c1_1(X70)
            | c2_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | c1_1(X71)
            | c0_1(X71) ) ) )
    & ( hskp1
      | ! [X72] :
          ( ndr1_0
         => ( ~ c3_1(X72)
            | ~ c2_1(X72)
            | c1_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c2_1(X73)
            | c1_1(X73)
            | c0_1(X73) ) ) )
    & ( ! [X74] :
          ( ndr1_0
         => ( ~ c2_1(X74)
            | ~ c1_1(X74)
            | c3_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | c2_1(X75)
            | c0_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c2_1(X76)
            | c1_1(X76)
            | c0_1(X76) ) ) )
    & ( ! [X77] :
          ( ndr1_0
         => ( ~ c2_1(X77)
            | ~ c0_1(X77)
            | c3_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c1_1(X78)
            | c2_1(X78)
            | c0_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( c3_1(X79)
            | c1_1(X79)
            | c0_1(X79) ) ) )
    & ( ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | ~ c2_1(X80)
            | c0_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c3_1(X81)
            | c2_1(X81)
            | c0_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( c3_1(X82)
            | c1_1(X82)
            | c0_1(X82) ) ) )
    & ( hskp0
      | ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | ~ c0_1(X83)
            | c2_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( c2_1(X84)
            | c1_1(X84)
            | c0_1(X84) ) ) )
    & ( ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | ~ c1_1(X85)
            | ~ c0_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c2_1(X86)
            | ~ c0_1(X86)
            | c1_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( c2_1(X87)
            | c1_1(X87)
            | c0_1(X87) ) ) )
    & ( ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | ~ c1_1(X88)
            | c2_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( c3_1(X89)
            | c2_1(X89)
            | c1_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( c2_1(X90)
            | c1_1(X90)
            | c0_1(X90) ) ) )
    & ( ! [X91] :
          ( ndr1_0
         => ( ~ c2_1(X91)
            | ~ c1_1(X91)
            | c0_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( c3_1(X92)
            | c2_1(X92)
            | c0_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( c2_1(X93)
            | c1_1(X93)
            | c0_1(X93) ) ) )
    & ( ( c2_1(a354)
        & c1_1(a354)
        & c0_1(a354)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a353)
        & c2_1(a353)
        & c1_1(a353)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a334)
        & c2_1(a334)
        & c0_1(a334)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a349)
        & ~ c2_1(a349)
        & c0_1(a349)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a346)
        & ~ c1_1(a346)
        & ~ c0_1(a346)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a342)
        & ~ c1_1(a342)
        & c3_1(a342)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a341)
        & c3_1(a341)
        & c2_1(a341)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a338)
        & ~ c2_1(a338)
        & ~ c1_1(a338)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a336)
        & ~ c0_1(a336)
        & c3_1(a336)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a333)
        & ~ c2_1(a333)
        & c1_1(a333)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a330)
        & c2_1(a330)
        & c1_1(a330)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a329)
        & ~ c0_1(a329)
        & c2_1(a329)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a323)
        & c2_1(a323)
        & c0_1(a323)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a321)
        & c3_1(a321)
        & c2_1(a321)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a320)
        & ~ c0_1(a320)
        & c1_1(a320)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a315)
        & c2_1(a315)
        & c1_1(a315)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a313)
        & c3_1(a313)
        & c0_1(a313)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a310)
        & ~ c0_1(a310)
        & c3_1(a310)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a309)
        & c3_1(a309)
        & c1_1(a309)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c0_1(a308)
        & c3_1(a308)
        & c1_1(a308)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a307)
        & ~ c1_1(a307)
        & c0_1(a307)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a305)
        & ~ c0_1(a305)
        & c2_1(a305)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a303)
        & c1_1(a303)
        & c0_1(a303)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a302)
        & ~ c1_1(a302)
        & c0_1(a302)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a301)
        & ~ c1_1(a301)
        & c2_1(a301)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a300)
        & ~ c1_1(a300)
        & ~ c0_1(a300)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a299)
        & c3_1(a299)
        & c0_1(a299)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a297)
        & ~ c0_1(a297)
        & c1_1(a297)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a295)
        & c2_1(a295)
        & c0_1(a295)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a294)
        & ~ c2_1(a294)
        & ~ c0_1(a294)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp25
          | hskp12
          | hskp20 )
        & ( hskp16
          | hskp26 )
        & ( hskp12
          | hskp11
          | hskp26 )
        & ( hskp23
          | hskp15
          | hskp6 )
        & ( hskp24
          | hskp5
          | hskp17 )
        & ( hskp10
          | hskp1
          | hskp7 )
        & ( hskp10
          | hskp27
          | hskp29 )
        & ( hskp28
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp21
          | hskp17
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c1_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp23
          | hskp26
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp8
          | hskp6
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp25
          | hskp15
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | c3_1(X4) ) ) )
        & ( hskp4
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c2_1(X5)
                | ~ c1_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c1_1(X6)
                | c3_1(X6) ) ) )
        & ( hskp11
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c2_1(X7)
                | ~ c0_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | ~ c0_1(X8)
                | c3_1(X8) ) ) )
        & ( hskp24
          | hskp23
          | ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | ~ c0_1(X9)
                | c3_1(X9) ) ) )
        & ( hskp4
          | hskp17
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | ~ c0_1(X10)
                | c3_1(X10) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c2_1(X11)
                | ~ c0_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c1_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp22
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | c3_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp17
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c1_1(X14)
                | ~ c0_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | c3_1(X15)
                | c2_1(X15) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c1_1(X16)
                | ~ c0_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c1_1(X17)
                | c2_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | c3_1(X18)
                | c2_1(X18) ) ) )
        & ( hskp21
          | ! [X19] :
              ( ndr1_0
             => ( ~ c0_1(X19)
                | c3_1(X19)
                | c2_1(X19) ) ) )
        & ( hskp3
          | hskp27
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c2_1(X20)
                | c1_1(X20) ) ) )
        & ( hskp20
          | hskp11
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c0_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp12
          | hskp19
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | ~ c0_1(X22)
                | c1_1(X22) ) ) )
        & ( hskp18
          | hskp17
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | ~ c0_1(X23)
                | c1_1(X23) ) ) )
        & ( hskp4
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c0_1(X24)
                | c1_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | ~ c0_1(X25)
                | c1_1(X25) ) ) )
        & ( hskp16
          | hskp11
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | c3_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp5
          | ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | c3_1(X27)
                | c2_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | c3_1(X28)
                | c1_1(X28) ) ) )
        & ( hskp17
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c3_1(X29)
                | c2_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | c3_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp13
          | ! [X31] :
              ( ndr1_0
             => ( ~ c2_1(X31)
                | c3_1(X31)
                | c1_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | c3_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp16
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c2_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp15
          | hskp6
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp7
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | ~ c0_1(X35)
                | c2_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | c1_1(X36) ) ) )
        & ( hskp14
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | ~ c1_1(X37)
                | c2_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | c2_1(X38)
                | c1_1(X38) ) ) )
        & ( hskp0
          | hskp14
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp3
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | c3_1(X40)
                | c2_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp13
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | ~ c0_1(X42)
                | c3_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | ~ c1_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp12
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | c3_1(X44)
                | c2_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c1_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp8
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | ~ c1_1(X46)
                | c3_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | c3_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp12
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c1_1(X48)
                | c2_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | c3_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp11
          | hskp10
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp9
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c0_1(X51)
                | c3_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | c2_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp5
          | hskp8
          | ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | c2_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp4
          | hskp7
          | ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | c2_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp6
          | ! [X55] :
              ( ndr1_0
             => ( ~ c1_1(X55)
                | ~ c0_1(X55)
                | c3_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | c2_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp5
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c0_1(X57)
                | c1_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c1_1(X58)
                | c2_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp4
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c0_1(X59)
                | c1_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | c2_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp3
          | ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | c3_1(X61)
                | c0_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | c2_1(X62)
                | c0_1(X62) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c1_1(X63)
                | c0_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | c3_1(X64)
                | c0_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c1_1(X65)
                | c2_1(X65)
                | c0_1(X65) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | c1_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | c2_1(X67)
                | c0_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | c2_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp0
          | hskp2
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | c1_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp0
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c1_1(X70)
                | c2_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | c1_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp1
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c2_1(X72)
                | c1_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | c1_1(X73)
                | c0_1(X73) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | ~ c1_1(X74)
                | c3_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | c2_1(X75)
                | c0_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | c1_1(X76)
                | c0_1(X76) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | ~ c0_1(X77)
                | c3_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | c2_1(X78)
                | c0_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c3_1(X79)
                | c1_1(X79)
                | c0_1(X79) ) ) )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c2_1(X80)
                | c0_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | c2_1(X81)
                | c0_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c3_1(X82)
                | c1_1(X82)
                | c0_1(X82) ) ) )
        & ( hskp0
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | ~ c0_1(X83)
                | c2_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c2_1(X84)
                | c1_1(X84)
                | c0_1(X84) ) ) )
        & ( ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c1_1(X85)
                | ~ c0_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c2_1(X86)
                | ~ c0_1(X86)
                | c1_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c2_1(X87)
                | c1_1(X87)
                | c0_1(X87) ) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c1_1(X88)
                | c2_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | c2_1(X89)
                | c1_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | c1_1(X90)
                | c0_1(X90) ) ) )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c1_1(X91)
                | c0_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( c3_1(X92)
                | c2_1(X92)
                | c0_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( c2_1(X93)
                | c1_1(X93)
                | c0_1(X93) ) ) )
        & ( ( c2_1(a354)
            & c1_1(a354)
            & c0_1(a354)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a353)
            & c2_1(a353)
            & c1_1(a353)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a334)
            & c2_1(a334)
            & c0_1(a334)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a349)
            & ~ c2_1(a349)
            & c0_1(a349)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a346)
            & ~ c1_1(a346)
            & ~ c0_1(a346)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a342)
            & ~ c1_1(a342)
            & c3_1(a342)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c0_1(a341)
            & c3_1(a341)
            & c2_1(a341)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a338)
            & ~ c2_1(a338)
            & ~ c1_1(a338)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a336)
            & ~ c0_1(a336)
            & c3_1(a336)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a333)
            & ~ c2_1(a333)
            & c1_1(a333)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a330)
            & c2_1(a330)
            & c1_1(a330)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a329)
            & ~ c0_1(a329)
            & c2_1(a329)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a323)
            & c2_1(a323)
            & c0_1(a323)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a321)
            & c3_1(a321)
            & c2_1(a321)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a320)
            & ~ c0_1(a320)
            & c1_1(a320)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c0_1(a315)
            & c2_1(a315)
            & c1_1(a315)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a313)
            & c3_1(a313)
            & c0_1(a313)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a310)
            & ~ c0_1(a310)
            & c3_1(a310)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a309)
            & c3_1(a309)
            & c1_1(a309)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c0_1(a308)
            & c3_1(a308)
            & c1_1(a308)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a307)
            & ~ c1_1(a307)
            & c0_1(a307)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a305)
            & ~ c0_1(a305)
            & c2_1(a305)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a303)
            & c1_1(a303)
            & c0_1(a303)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a302)
            & ~ c1_1(a302)
            & c0_1(a302)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a301)
            & ~ c1_1(a301)
            & c2_1(a301)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a300)
            & ~ c1_1(a300)
            & ~ c0_1(a300)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a299)
            & c3_1(a299)
            & c0_1(a299)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a297)
            & ~ c0_1(a297)
            & c1_1(a297)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a295)
            & c2_1(a295)
            & c0_1(a295)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a294)
            & ~ c2_1(a294)
            & ~ c0_1(a294)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp25
          | hskp12
          | hskp20 )
        & ( hskp16
          | hskp26 )
        & ( hskp12
          | hskp11
          | hskp26 )
        & ( hskp23
          | hskp15
          | hskp6 )
        & ( hskp24
          | hskp5
          | hskp17 )
        & ( hskp10
          | hskp1
          | hskp7 )
        & ( hskp10
          | hskp27
          | hskp29 )
        & ( hskp28
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c2_1(X93)
                | ~ c1_1(X93) ) ) )
        & ( hskp21
          | hskp17
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c1_1(X92)
                | ~ c0_1(X92) ) ) )
        & ( hskp23
          | hskp26
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c1_1(X91)
                | ~ c0_1(X91) ) ) )
        & ( hskp8
          | hskp6
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | ~ c1_1(X90)
                | ~ c0_1(X90) ) ) )
        & ( hskp25
          | hskp15
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c1_1(X89)
                | c3_1(X89) ) ) )
        & ( hskp4
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c2_1(X88)
                | ~ c1_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c1_1(X87)
                | c3_1(X87) ) ) )
        & ( hskp11
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c2_1(X86)
                | ~ c0_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | ~ c0_1(X85)
                | c3_1(X85) ) ) )
        & ( hskp24
          | hskp23
          | ! [X84] :
              ( ndr1_0
             => ( ~ c1_1(X84)
                | ~ c0_1(X84)
                | c3_1(X84) ) ) )
        & ( hskp4
          | hskp17
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | ~ c0_1(X83)
                | c3_1(X83) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c2_1(X82)
                | ~ c0_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c1_1(X81)
                | c2_1(X81) ) ) )
        & ( hskp22
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | c3_1(X80)
                | c2_1(X80) ) ) )
        & ( hskp17
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c1_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | c3_1(X78)
                | c2_1(X78) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c1_1(X77)
                | ~ c0_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c1_1(X76)
                | c2_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | c3_1(X75)
                | c2_1(X75) ) ) )
        & ( hskp21
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c3_1(X74)
                | c2_1(X74) ) ) )
        & ( hskp3
          | hskp27
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c2_1(X73)
                | c1_1(X73) ) ) )
        & ( hskp20
          | hskp11
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c0_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp12
          | hskp19
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | ~ c0_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp18
          | hskp17
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c0_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp4
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c0_1(X69)
                | c1_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c0_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp16
          | hskp11
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | c3_1(X67)
                | c1_1(X67) ) ) )
        & ( hskp5
          | ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | c3_1(X66)
                | c2_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | c3_1(X65)
                | c1_1(X65) ) ) )
        & ( hskp17
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | c3_1(X64)
                | c2_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | c3_1(X63)
                | c1_1(X63) ) ) )
        & ( hskp13
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | c3_1(X62)
                | c1_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | c3_1(X61)
                | c1_1(X61) ) ) )
        & ( hskp16
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | c2_1(X60)
                | c1_1(X60) ) ) )
        & ( hskp15
          | hskp6
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) ) )
        & ( hskp7
          | ! [X58] :
              ( ndr1_0
             => ( ~ c1_1(X58)
                | ~ c0_1(X58)
                | c2_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | c2_1(X57)
                | c1_1(X57) ) ) )
        & ( hskp14
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c2_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | c2_1(X55)
                | c1_1(X55) ) ) )
        & ( hskp0
          | hskp14
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c2_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp3
          | ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | c3_1(X53)
                | c2_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c2_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp13
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | ~ c0_1(X51)
                | c3_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp12
          | ! [X49] :
              ( ndr1_0
             => ( ~ c0_1(X49)
                | c3_1(X49)
                | c2_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | ~ c1_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp8
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | ~ c1_1(X47)
                | c3_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | c3_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp12
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c1_1(X45)
                | c2_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | c3_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp11
          | hskp10
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp9
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c0_1(X42)
                | c3_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp5
          | hskp8
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | c2_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp4
          | hskp7
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp6
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | ~ c0_1(X38)
                | c3_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp5
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c0_1(X36)
                | c1_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp4
          | ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | ~ c0_1(X34)
                | c1_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp3
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | c3_1(X32)
                | c0_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | ~ c1_1(X30)
                | c0_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c3_1(X29)
                | c0_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c2_1(X27)
                | c1_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp0
          | hskp2
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c1_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp0
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c1_1(X23)
                | c2_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp1
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c2_1(X21)
                | c1_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c1_1(X19)
                | c3_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | c2_1(X18)
                | c0_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | ~ c0_1(X16)
                | c3_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | c2_1(X15)
                | c0_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c2_1(X13)
                | c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c3_1(X12)
                | c2_1(X12)
                | c0_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp0
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | ~ c0_1(X10)
                | c2_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c2_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c1_1(X8)
                | ~ c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c0_1(X7)
                | c1_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c1_1(X5)
                | c2_1(X5) ) )
          | ! [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
             => ( c3_1(X1)
                | c2_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c2_1(a354)
            & c1_1(a354)
            & c0_1(a354)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a353)
            & c2_1(a353)
            & c1_1(a353)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a334)
            & c2_1(a334)
            & c0_1(a334)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a349)
            & ~ c2_1(a349)
            & c0_1(a349)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a346)
            & ~ c1_1(a346)
            & ~ c0_1(a346)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a342)
            & ~ c1_1(a342)
            & c3_1(a342)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c0_1(a341)
            & c3_1(a341)
            & c2_1(a341)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a338)
            & ~ c2_1(a338)
            & ~ c1_1(a338)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a336)
            & ~ c0_1(a336)
            & c3_1(a336)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a333)
            & ~ c2_1(a333)
            & c1_1(a333)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a330)
            & c2_1(a330)
            & c1_1(a330)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a329)
            & ~ c0_1(a329)
            & c2_1(a329)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a323)
            & c2_1(a323)
            & c0_1(a323)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a321)
            & c3_1(a321)
            & c2_1(a321)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a320)
            & ~ c0_1(a320)
            & c1_1(a320)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c0_1(a315)
            & c2_1(a315)
            & c1_1(a315)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a313)
            & c3_1(a313)
            & c0_1(a313)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a310)
            & ~ c0_1(a310)
            & c3_1(a310)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a309)
            & c3_1(a309)
            & c1_1(a309)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c0_1(a308)
            & c3_1(a308)
            & c1_1(a308)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a307)
            & ~ c1_1(a307)
            & c0_1(a307)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a305)
            & ~ c0_1(a305)
            & c2_1(a305)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a303)
            & c1_1(a303)
            & c0_1(a303)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a302)
            & ~ c1_1(a302)
            & c0_1(a302)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a301)
            & ~ c1_1(a301)
            & c2_1(a301)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a300)
            & ~ c1_1(a300)
            & ~ c0_1(a300)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a299)
            & c3_1(a299)
            & c0_1(a299)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a297)
            & ~ c0_1(a297)
            & c1_1(a297)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a295)
            & c2_1(a295)
            & c0_1(a295)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a294)
            & ~ c2_1(a294)
            & ~ c0_1(a294)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp25
        | hskp12
        | hskp20 )
      & ( hskp16
        | hskp26 )
      & ( hskp12
        | hskp11
        | hskp26 )
      & ( hskp23
        | hskp15
        | hskp6 )
      & ( hskp24
        | hskp5
        | hskp17 )
      & ( hskp10
        | hskp1
        | hskp7 )
      & ( hskp10
        | hskp27
        | hskp29 )
      & ( hskp28
        | ! [X93] :
            ( ndr1_0
           => ( ~ c3_1(X93)
              | ~ c2_1(X93)
              | ~ c1_1(X93) ) ) )
      & ( hskp21
        | hskp17
        | ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | ~ c1_1(X92)
              | ~ c0_1(X92) ) ) )
      & ( hskp23
        | hskp26
        | ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | ~ c1_1(X91)
              | ~ c0_1(X91) ) ) )
      & ( hskp8
        | hskp6
        | ! [X90] :
            ( ndr1_0
           => ( ~ c2_1(X90)
              | ~ c1_1(X90)
              | ~ c0_1(X90) ) ) )
      & ( hskp25
        | hskp15
        | ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | ~ c1_1(X89)
              | c3_1(X89) ) ) )
      & ( hskp4
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c2_1(X88)
              | ~ c1_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | ~ c1_1(X87)
              | c3_1(X87) ) ) )
      & ( hskp11
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c2_1(X86)
              | ~ c0_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c2_1(X85)
              | ~ c0_1(X85)
              | c3_1(X85) ) ) )
      & ( hskp24
        | hskp23
        | ! [X84] :
            ( ndr1_0
           => ( ~ c1_1(X84)
              | ~ c0_1(X84)
              | c3_1(X84) ) ) )
      & ( hskp4
        | hskp17
        | ! [X83] :
            ( ndr1_0
           => ( ~ c1_1(X83)
              | ~ c0_1(X83)
              | c3_1(X83) ) ) )
      & ( ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c2_1(X82)
              | ~ c0_1(X82) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c1_1(X81)
              | c2_1(X81) ) ) )
      & ( hskp22
        | ! [X80] :
            ( ndr1_0
           => ( ~ c1_1(X80)
              | c3_1(X80)
              | c2_1(X80) ) ) )
      & ( hskp17
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c1_1(X79)
              | ~ c0_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c1_1(X78)
              | c3_1(X78)
              | c2_1(X78) ) ) )
      & ( ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | ~ c1_1(X77)
              | ~ c0_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c1_1(X76)
              | c2_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c1_1(X75)
              | c3_1(X75)
              | c2_1(X75) ) ) )
      & ( hskp21
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c3_1(X74)
              | c2_1(X74) ) ) )
      & ( hskp3
        | hskp27
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c2_1(X73)
              | c1_1(X73) ) ) )
      & ( hskp20
        | hskp11
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | ~ c0_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp12
        | hskp19
        | ! [X71] :
            ( ndr1_0
           => ( ~ c2_1(X71)
              | ~ c0_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp18
        | hskp17
        | ! [X70] :
            ( ndr1_0
           => ( ~ c2_1(X70)
              | ~ c0_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp4
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c0_1(X69)
              | c1_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c2_1(X68)
              | ~ c0_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp16
        | hskp11
        | ! [X67] :
            ( ndr1_0
           => ( ~ c2_1(X67)
              | c3_1(X67)
              | c1_1(X67) ) ) )
      & ( hskp5
        | ! [X66] :
            ( ndr1_0
           => ( ~ c1_1(X66)
              | c3_1(X66)
              | c2_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c2_1(X65)
              | c3_1(X65)
              | c1_1(X65) ) ) )
      & ( hskp17
        | ! [X64] :
            ( ndr1_0
           => ( ~ c1_1(X64)
              | c3_1(X64)
              | c2_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c0_1(X63)
              | c3_1(X63)
              | c1_1(X63) ) ) )
      & ( hskp13
        | ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | c3_1(X62)
              | c1_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c0_1(X61)
              | c3_1(X61)
              | c1_1(X61) ) ) )
      & ( hskp16
        | ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | c2_1(X60)
              | c1_1(X60) ) ) )
      & ( hskp15
        | hskp6
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | c2_1(X59)
              | c1_1(X59) ) ) )
      & ( hskp7
        | ! [X58] :
            ( ndr1_0
           => ( ~ c1_1(X58)
              | ~ c0_1(X58)
              | c2_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | c2_1(X57)
              | c1_1(X57) ) ) )
      & ( hskp14
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c1_1(X56)
              | c2_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c0_1(X55)
              | c2_1(X55)
              | c1_1(X55) ) ) )
      & ( hskp0
        | hskp14
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c2_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp3
        | ! [X53] :
            ( ndr1_0
           => ( ~ c1_1(X53)
              | c3_1(X53)
              | c2_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | ~ c2_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp13
        | ! [X51] :
            ( ndr1_0
           => ( ~ c1_1(X51)
              | ~ c0_1(X51)
              | c3_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | ~ c1_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp12
        | ! [X49] :
            ( ndr1_0
           => ( ~ c0_1(X49)
              | c3_1(X49)
              | c2_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | ~ c1_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp8
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | ~ c1_1(X47)
              | c3_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c2_1(X46)
              | c3_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp12
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c1_1(X45)
              | c2_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c1_1(X44)
              | c3_1(X44)
              | c0_1(X44) ) ) )
      & ( hskp11
        | hskp10
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp9
        | ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | ~ c0_1(X42)
              | c3_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp5
        | hskp8
        | ! [X40] :
            ( ndr1_0
           => ( ~ c1_1(X40)
              | c2_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp4
        | hskp7
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp6
        | ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | ~ c0_1(X38)
              | c3_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c1_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp5
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | ~ c0_1(X36)
              | c1_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp4
        | ! [X34] :
            ( ndr1_0
           => ( ~ c2_1(X34)
              | ~ c0_1(X34)
              | c1_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp3
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | c3_1(X32)
              | c0_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( ~ c3_1(X30)
              | ~ c1_1(X30)
              | c0_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | c3_1(X29)
              | c0_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | ~ c2_1(X27)
              | c1_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c1_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp0
        | hskp2
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | c1_1(X24)
              | c0_1(X24) ) ) )
      & ( hskp0
        | ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | ~ c1_1(X23)
              | c2_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp1
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | ~ c2_1(X21)
              | c1_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | ~ c1_1(X19)
              | c3_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c1_1(X18)
              | c2_1(X18)
              | c0_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | ~ c0_1(X16)
              | c3_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c1_1(X15)
              | c2_1(X15)
              | c0_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c3_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | ~ c2_1(X13)
              | c0_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c3_1(X12)
              | c2_1(X12)
              | c0_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp0
        | ! [X10] :
            ( ndr1_0
           => ( ~ c1_1(X10)
              | ~ c0_1(X10)
              | c2_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c2_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( ! [X8] :
            ( ndr1_0
           => ( ~ c3_1(X8)
              | ~ c1_1(X8)
              | ~ c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c2_1(X7)
              | ~ c0_1(X7)
              | c1_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( ~ c3_1(X5)
              | ~ c1_1(X5)
              | c2_1(X5) ) )
        | ! [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
           => ( c3_1(X1)
              | c2_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c2_1(a354)
          & c1_1(a354)
          & c0_1(a354)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a353)
          & c2_1(a353)
          & c1_1(a353)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a334)
          & c2_1(a334)
          & c0_1(a334)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a349)
          & ~ c2_1(a349)
          & c0_1(a349)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a346)
          & ~ c1_1(a346)
          & ~ c0_1(a346)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a342)
          & ~ c1_1(a342)
          & c3_1(a342)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c0_1(a341)
          & c3_1(a341)
          & c2_1(a341)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a338)
          & ~ c2_1(a338)
          & ~ c1_1(a338)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c1_1(a336)
          & ~ c0_1(a336)
          & c3_1(a336)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a333)
          & ~ c2_1(a333)
          & c1_1(a333)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a330)
          & c2_1(a330)
          & c1_1(a330)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a329)
          & ~ c0_1(a329)
          & c2_1(a329)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a323)
          & c2_1(a323)
          & c0_1(a323)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c1_1(a321)
          & c3_1(a321)
          & c2_1(a321)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c2_1(a320)
          & ~ c0_1(a320)
          & c1_1(a320)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c0_1(a315)
          & c2_1(a315)
          & c1_1(a315)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c1_1(a313)
          & c3_1(a313)
          & c0_1(a313)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a310)
          & ~ c0_1(a310)
          & c3_1(a310)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c2_1(a309)
          & c3_1(a309)
          & c1_1(a309)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c0_1(a308)
          & c3_1(a308)
          & c1_1(a308)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a307)
          & ~ c1_1(a307)
          & c0_1(a307)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c1_1(a305)
          & ~ c0_1(a305)
          & c2_1(a305)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a303)
          & c1_1(a303)
          & c0_1(a303)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a302)
          & ~ c1_1(a302)
          & c0_1(a302)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a301)
          & ~ c1_1(a301)
          & c2_1(a301)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c2_1(a300)
          & ~ c1_1(a300)
          & ~ c0_1(a300)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a299)
          & c3_1(a299)
          & c0_1(a299)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a297)
          & ~ c0_1(a297)
          & c1_1(a297)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c1_1(a295)
          & c2_1(a295)
          & c0_1(a295)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a294)
          & ~ c2_1(a294)
          & ~ c0_1(a294)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f969,plain,
    ( ~ spl0_48
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f9,f966,f423]) ).

fof(f9,plain,
    ( ~ c2_1(a294)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f964,plain,
    ( ~ spl0_48
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f10,f961,f423]) ).

fof(f10,plain,
    ( ~ c3_1(a294)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f958,plain,
    ( ~ spl0_14
    | spl0_149 ),
    inference(avatar_split_clause,[],[f12,f955,f277]) ).

fof(f277,plain,
    ( spl0_14
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f12,plain,
    ( c0_1(a295)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f953,plain,
    ( ~ spl0_14
    | spl0_148 ),
    inference(avatar_split_clause,[],[f13,f950,f277]) ).

fof(f13,plain,
    ( c2_1(a295)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f948,plain,
    ( ~ spl0_14
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f14,f945,f277]) ).

fof(f14,plain,
    ( ~ c1_1(a295)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f942,plain,
    ( ~ spl0_58
    | spl0_146 ),
    inference(avatar_split_clause,[],[f16,f939,f471]) ).

fof(f471,plain,
    ( spl0_58
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f16,plain,
    ( c1_1(a297)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f937,plain,
    ( ~ spl0_58
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f17,f934,f471]) ).

fof(f17,plain,
    ( ~ c0_1(a297)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f932,plain,
    ( ~ spl0_58
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f18,f929,f471]) ).

fof(f18,plain,
    ( ~ c3_1(a297)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f921,plain,
    ( ~ spl0_35
    | spl0_142 ),
    inference(avatar_split_clause,[],[f21,f918,f366]) ).

fof(f366,plain,
    ( spl0_35
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f21,plain,
    ( c3_1(a299)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f916,plain,
    ( ~ spl0_35
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f22,f913,f366]) ).

fof(f22,plain,
    ( ~ c2_1(a299)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f910,plain,
    ( ~ spl0_26
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f24,f907,f328]) ).

fof(f328,plain,
    ( spl0_26
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f24,plain,
    ( ~ c0_1(a300)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f905,plain,
    ( ~ spl0_26
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f25,f902,f328]) ).

fof(f25,plain,
    ( ~ c1_1(a300)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f900,plain,
    ( ~ spl0_26
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f26,f897,f328]) ).

fof(f26,plain,
    ( ~ c2_1(a300)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f894,plain,
    ( ~ spl0_11
    | spl0_137 ),
    inference(avatar_split_clause,[],[f28,f891,f264]) ).

fof(f264,plain,
    ( spl0_11
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f28,plain,
    ( c2_1(a301)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f889,plain,
    ( ~ spl0_11
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f29,f886,f264]) ).

fof(f29,plain,
    ( ~ c1_1(a301)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f879,plain,
    ( ~ spl0_7
    | spl0_18 ),
    inference(avatar_split_clause,[],[f31,f295,f247]) ).

fof(f247,plain,
    ( spl0_7
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f295,plain,
    ( spl0_18
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

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

fof(f878,plain,
    ( ~ spl0_7
    | spl0_134 ),
    inference(avatar_split_clause,[],[f32,f875,f247]) ).

fof(f32,plain,
    ( c0_1(a302)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f873,plain,
    ( ~ spl0_7
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f33,f870,f247]) ).

fof(f33,plain,
    ( ~ c1_1(a302)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f868,plain,
    ( ~ spl0_7
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f34,f865,f247]) ).

fof(f34,plain,
    ( ~ c2_1(a302)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f846,plain,
    ( ~ spl0_24
    | spl0_128 ),
    inference(avatar_split_clause,[],[f40,f843,f319]) ).

fof(f319,plain,
    ( spl0_24
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f40,plain,
    ( c2_1(a305)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f836,plain,
    ( ~ spl0_24
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f42,f833,f319]) ).

fof(f42,plain,
    ( ~ c1_1(a305)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f814,plain,
    ( ~ spl0_15
    | spl0_122 ),
    inference(avatar_split_clause,[],[f48,f811,f281]) ).

fof(f281,plain,
    ( spl0_15
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f48,plain,
    ( c1_1(a308)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f809,plain,
    ( ~ spl0_15
    | spl0_121 ),
    inference(avatar_split_clause,[],[f49,f806,f281]) ).

fof(f49,plain,
    ( c3_1(a308)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f804,plain,
    ( ~ spl0_15
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f50,f801,f281]) ).

fof(f50,plain,
    ( ~ c0_1(a308)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f798,plain,
    ( ~ spl0_6
    | spl0_119 ),
    inference(avatar_split_clause,[],[f52,f795,f242]) ).

fof(f242,plain,
    ( spl0_6
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f52,plain,
    ( c1_1(a309)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f793,plain,
    ( ~ spl0_6
    | spl0_118 ),
    inference(avatar_split_clause,[],[f53,f790,f242]) ).

fof(f53,plain,
    ( c3_1(a309)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f788,plain,
    ( ~ spl0_6
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f54,f785,f242]) ).

fof(f54,plain,
    ( ~ c2_1(a309)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f782,plain,
    ( ~ spl0_2
    | spl0_116 ),
    inference(avatar_split_clause,[],[f56,f779,f224]) ).

fof(f224,plain,
    ( spl0_2
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f56,plain,
    ( c3_1(a310)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f777,plain,
    ( ~ spl0_2
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f57,f774,f224]) ).

fof(f57,plain,
    ( ~ c0_1(a310)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f772,plain,
    ( ~ spl0_2
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f58,f769,f224]) ).

fof(f58,plain,
    ( ~ c2_1(a310)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f766,plain,
    ( ~ spl0_42
    | spl0_113 ),
    inference(avatar_split_clause,[],[f60,f763,f398]) ).

fof(f398,plain,
    ( spl0_42
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f60,plain,
    ( c0_1(a313)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f761,plain,
    ( ~ spl0_42
    | spl0_112 ),
    inference(avatar_split_clause,[],[f61,f758,f398]) ).

fof(f61,plain,
    ( c3_1(a313)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f756,plain,
    ( ~ spl0_42
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f62,f753,f398]) ).

fof(f62,plain,
    ( ~ c1_1(a313)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f735,plain,
    ( ~ spl0_8
    | spl0_18 ),
    inference(avatar_split_clause,[],[f67,f295,f251]) ).

fof(f251,plain,
    ( spl0_8
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f67,plain,
    ( ndr1_0
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f734,plain,
    ( ~ spl0_8
    | spl0_107 ),
    inference(avatar_split_clause,[],[f68,f731,f251]) ).

fof(f68,plain,
    ( c1_1(a320)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f729,plain,
    ( ~ spl0_8
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f69,f726,f251]) ).

fof(f69,plain,
    ( ~ c0_1(a320)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f724,plain,
    ( ~ spl0_8
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f70,f721,f251]) ).

fof(f70,plain,
    ( ~ c2_1(a320)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f718,plain,
    ( ~ spl0_5
    | spl0_104 ),
    inference(avatar_split_clause,[],[f72,f715,f237]) ).

fof(f237,plain,
    ( spl0_5
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f72,plain,
    ( c2_1(a321)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f713,plain,
    ( ~ spl0_5
    | spl0_103 ),
    inference(avatar_split_clause,[],[f73,f710,f237]) ).

fof(f73,plain,
    ( c3_1(a321)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f708,plain,
    ( ~ spl0_5
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f74,f705,f237]) ).

fof(f74,plain,
    ( ~ c1_1(a321)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f702,plain,
    ( ~ spl0_10
    | spl0_101 ),
    inference(avatar_split_clause,[],[f76,f699,f260]) ).

fof(f260,plain,
    ( spl0_10
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f76,plain,
    ( c0_1(a323)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f697,plain,
    ( ~ spl0_10
    | spl0_100 ),
    inference(avatar_split_clause,[],[f77,f694,f260]) ).

fof(f77,plain,
    ( c2_1(a323)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f692,plain,
    ( ~ spl0_10
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f78,f689,f260]) ).

fof(f78,plain,
    ( ~ c3_1(a323)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f670,plain,
    ( ~ spl0_37
    | spl0_95 ),
    inference(avatar_split_clause,[],[f84,f667,f375]) ).

fof(f375,plain,
    ( spl0_37
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f84,plain,
    ( c1_1(a330)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f660,plain,
    ( ~ spl0_37
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f86,f657,f375]) ).

fof(f86,plain,
    ( ~ c3_1(a330)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f654,plain,
    ( ~ spl0_1
    | spl0_92 ),
    inference(avatar_split_clause,[],[f88,f651,f220]) ).

fof(f220,plain,
    ( spl0_1
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f88,plain,
    ( c1_1(a333)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f649,plain,
    ( ~ spl0_1
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f89,f646,f220]) ).

fof(f89,plain,
    ( ~ c2_1(a333)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f638,plain,
    ( ~ spl0_22
    | spl0_89 ),
    inference(avatar_split_clause,[],[f92,f635,f310]) ).

fof(f310,plain,
    ( spl0_22
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f92,plain,
    ( c3_1(a336)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f633,plain,
    ( ~ spl0_22
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f93,f630,f310]) ).

fof(f93,plain,
    ( ~ c0_1(a336)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f628,plain,
    ( ~ spl0_22
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f94,f625,f310]) ).

fof(f94,plain,
    ( ~ c1_1(a336)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f622,plain,
    ( ~ spl0_32
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f96,f619,f352]) ).

fof(f352,plain,
    ( spl0_32
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f96,plain,
    ( ~ c1_1(a338)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f617,plain,
    ( ~ spl0_32
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f97,f614,f352]) ).

fof(f97,plain,
    ( ~ c2_1(a338)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f612,plain,
    ( ~ spl0_32
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f98,f609,f352]) ).

fof(f98,plain,
    ( ~ c3_1(a338)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f607,plain,
    ( ~ spl0_9
    | spl0_18 ),
    inference(avatar_split_clause,[],[f99,f295,f255]) ).

fof(f255,plain,
    ( spl0_9
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f99,plain,
    ( ndr1_0
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f601,plain,
    ( ~ spl0_9
    | spl0_82 ),
    inference(avatar_split_clause,[],[f101,f598,f255]) ).

fof(f101,plain,
    ( c3_1(a341)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f596,plain,
    ( ~ spl0_9
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f102,f593,f255]) ).

fof(f102,plain,
    ( ~ c0_1(a341)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f574,plain,
    ( ~ spl0_3
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f108,f571,f228]) ).

fof(f228,plain,
    ( spl0_3
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f108,plain,
    ( ~ c0_1(a346)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f569,plain,
    ( ~ spl0_3
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f109,f566,f228]) ).

fof(f109,plain,
    ( ~ c1_1(a346)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f564,plain,
    ( ~ spl0_3
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f110,f561,f228]) ).

fof(f110,plain,
    ( ~ c3_1(a346)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f558,plain,
    ( ~ spl0_4
    | spl0_74 ),
    inference(avatar_split_clause,[],[f112,f555,f233]) ).

fof(f233,plain,
    ( spl0_4
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f112,plain,
    ( c0_1(a349)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f553,plain,
    ( ~ spl0_4
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f113,f550,f233]) ).

fof(f113,plain,
    ( ~ c2_1(a349)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f548,plain,
    ( ~ spl0_4
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f114,f545,f233]) ).

fof(f114,plain,
    ( ~ c3_1(a349)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f495,plain,
    ( spl0_61
    | spl0_56
    | ~ spl0_18
    | spl0_49 ),
    inference(avatar_split_clause,[],[f187,f429,f295,f464,f487]) ).

fof(f187,plain,
    ! [X91,X92,X93] :
      ( ~ c2_1(X91)
      | ~ c1_1(X91)
      | c0_1(X91)
      | ~ ndr1_0
      | c3_1(X92)
      | c2_1(X92)
      | c0_1(X92)
      | c2_1(X93)
      | c1_1(X93)
      | c0_1(X93) ),
    inference(duplicate_literal_removal,[],[f127]) ).

fof(f127,plain,
    ! [X91,X92,X93] :
      ( ~ c2_1(X91)
      | ~ c1_1(X91)
      | c0_1(X91)
      | ~ ndr1_0
      | c3_1(X92)
      | c2_1(X92)
      | c0_1(X92)
      | ~ ndr1_0
      | c2_1(X93)
      | c1_1(X93)
      | c0_1(X93)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f489,plain,
    ( spl0_61
    | ~ spl0_18
    | spl0_44
    | spl0_48 ),
    inference(avatar_split_clause,[],[f190,f423,f408,f295,f487]) ).

fof(f190,plain,
    ! [X83,X84] :
      ( hskp0
      | ~ c1_1(X83)
      | ~ c0_1(X83)
      | c2_1(X83)
      | ~ ndr1_0
      | c2_1(X84)
      | c1_1(X84)
      | c0_1(X84) ),
    inference(duplicate_literal_removal,[],[f130]) ).

fof(f130,plain,
    ! [X83,X84] :
      ( hskp0
      | ~ c1_1(X83)
      | ~ c0_1(X83)
      | c2_1(X83)
      | ~ ndr1_0
      | c2_1(X84)
      | c1_1(X84)
      | c0_1(X84)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f485,plain,
    ( spl0_60
    | spl0_56
    | ~ spl0_18
    | spl0_47 ),
    inference(avatar_split_clause,[],[f191,f420,f295,f464,f482]) ).

fof(f191,plain,
    ! [X82,X80,X81] :
      ( ~ c3_1(X80)
      | ~ c2_1(X80)
      | c0_1(X80)
      | ~ ndr1_0
      | c3_1(X81)
      | c2_1(X81)
      | c0_1(X81)
      | c3_1(X82)
      | c1_1(X82)
      | c0_1(X82) ),
    inference(duplicate_literal_removal,[],[f131]) ).

fof(f131,plain,
    ! [X82,X80,X81] :
      ( ~ c3_1(X80)
      | ~ c2_1(X80)
      | c0_1(X80)
      | ~ ndr1_0
      | c3_1(X81)
      | c2_1(X81)
      | c0_1(X81)
      | ~ ndr1_0
      | c3_1(X82)
      | c1_1(X82)
      | c0_1(X82)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f484,plain,
    ( spl0_60
    | spl0_54
    | ~ spl0_18
    | spl0_27 ),
    inference(avatar_split_clause,[],[f192,f333,f295,f451,f482]) ).

fof(f192,plain,
    ! [X78,X79,X77] :
      ( ~ c2_1(X77)
      | ~ c0_1(X77)
      | c3_1(X77)
      | ~ ndr1_0
      | ~ c1_1(X78)
      | c2_1(X78)
      | c0_1(X78)
      | c3_1(X79)
      | c1_1(X79)
      | c0_1(X79) ),
    inference(duplicate_literal_removal,[],[f132]) ).

fof(f132,plain,
    ! [X78,X79,X77] :
      ( ~ c2_1(X77)
      | ~ c0_1(X77)
      | c3_1(X77)
      | ~ ndr1_0
      | ~ c1_1(X78)
      | c2_1(X78)
      | c0_1(X78)
      | ~ ndr1_0
      | c3_1(X79)
      | c1_1(X79)
      | c0_1(X79)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f480,plain,
    ( spl0_59
    | spl0_54
    | ~ spl0_18
    | spl0_25 ),
    inference(avatar_split_clause,[],[f193,f324,f295,f451,f477]) ).

fof(f193,plain,
    ! [X76,X74,X75] :
      ( ~ c2_1(X74)
      | ~ c1_1(X74)
      | c3_1(X74)
      | ~ ndr1_0
      | ~ c1_1(X75)
      | c2_1(X75)
      | c0_1(X75)
      | ~ c2_1(X76)
      | c1_1(X76)
      | c0_1(X76) ),
    inference(duplicate_literal_removal,[],[f133]) ).

fof(f133,plain,
    ! [X76,X74,X75] :
      ( ~ c2_1(X74)
      | ~ c1_1(X74)
      | c3_1(X74)
      | ~ ndr1_0
      | ~ c1_1(X75)
      | c2_1(X75)
      | c0_1(X75)
      | ~ ndr1_0
      | ~ c2_1(X76)
      | c1_1(X76)
      | c0_1(X76)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f479,plain,
    ( spl0_59
    | ~ spl0_18
    | spl0_34
    | spl0_14 ),
    inference(avatar_split_clause,[],[f194,f277,f363,f295,f477]) ).

fof(f194,plain,
    ! [X72,X73] :
      ( hskp1
      | ~ c3_1(X72)
      | ~ c2_1(X72)
      | c1_1(X72)
      | ~ ndr1_0
      | ~ c2_1(X73)
      | c1_1(X73)
      | c0_1(X73) ),
    inference(duplicate_literal_removal,[],[f134]) ).

fof(f134,plain,
    ! [X72,X73] :
      ( hskp1
      | ~ c3_1(X72)
      | ~ c2_1(X72)
      | c1_1(X72)
      | ~ ndr1_0
      | ~ c2_1(X73)
      | c1_1(X73)
      | c0_1(X73)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f475,plain,
    ( spl0_57
    | ~ spl0_18
    | spl0_30
    | spl0_48 ),
    inference(avatar_split_clause,[],[f195,f423,f345,f295,f468]) ).

fof(f195,plain,
    ! [X70,X71] :
      ( hskp0
      | ~ c3_1(X70)
      | ~ c1_1(X70)
      | c2_1(X70)
      | ~ ndr1_0
      | ~ c3_1(X71)
      | c1_1(X71)
      | c0_1(X71) ),
    inference(duplicate_literal_removal,[],[f135]) ).

fof(f135,plain,
    ! [X70,X71] :
      ( hskp0
      | ~ c3_1(X70)
      | ~ c1_1(X70)
      | c2_1(X70)
      | ~ ndr1_0
      | ~ c3_1(X71)
      | c1_1(X71)
      | c0_1(X71)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f474,plain,
    ( ~ spl0_18
    | spl0_57
    | spl0_58
    | spl0_48 ),
    inference(avatar_split_clause,[],[f136,f423,f471,f468,f295]) ).

fof(f136,plain,
    ! [X69] :
      ( hskp0
      | hskp2
      | ~ c3_1(X69)
      | c1_1(X69)
      | c0_1(X69)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f466,plain,
    ( spl0_56
    | spl0_54
    | ~ spl0_18
    | spl0_34 ),
    inference(avatar_split_clause,[],[f196,f363,f295,f451,f464]) ).

fof(f196,plain,
    ! [X68,X66,X67] :
      ( ~ c3_1(X66)
      | ~ c2_1(X66)
      | c1_1(X66)
      | ~ ndr1_0
      | ~ c1_1(X67)
      | c2_1(X67)
      | c0_1(X67)
      | c3_1(X68)
      | c2_1(X68)
      | c0_1(X68) ),
    inference(duplicate_literal_removal,[],[f137]) ).

fof(f137,plain,
    ! [X68,X66,X67] :
      ( ~ c3_1(X66)
      | ~ c2_1(X66)
      | c1_1(X66)
      | ~ ndr1_0
      | ~ c1_1(X67)
      | c2_1(X67)
      | c0_1(X67)
      | ~ ndr1_0
      | c3_1(X68)
      | c2_1(X68)
      | c0_1(X68)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f462,plain,
    ( spl0_54
    | spl0_51
    | ~ spl0_18
    | spl0_55 ),
    inference(avatar_split_clause,[],[f197,f460,f295,f438,f451]) ).

fof(f197,plain,
    ! [X65,X63,X64] :
      ( ~ c3_1(X63)
      | ~ c1_1(X63)
      | c0_1(X63)
      | ~ ndr1_0
      | ~ c1_1(X64)
      | c3_1(X64)
      | c0_1(X64)
      | ~ c1_1(X65)
      | c2_1(X65)
      | c0_1(X65) ),
    inference(duplicate_literal_removal,[],[f138]) ).

fof(f138,plain,
    ! [X65,X63,X64] :
      ( ~ c3_1(X63)
      | ~ c1_1(X63)
      | c0_1(X63)
      | ~ ndr1_0
      | ~ c1_1(X64)
      | c3_1(X64)
      | c0_1(X64)
      | ~ ndr1_0
      | ~ c1_1(X65)
      | c2_1(X65)
      | c0_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f458,plain,
    ( spl0_54
    | ~ spl0_18
    | spl0_51
    | spl0_35 ),
    inference(avatar_split_clause,[],[f198,f366,f438,f295,f451]) ).

fof(f198,plain,
    ! [X62,X61] :
      ( hskp3
      | ~ c1_1(X61)
      | c3_1(X61)
      | c0_1(X61)
      | ~ ndr1_0
      | ~ c1_1(X62)
      | c2_1(X62)
      | c0_1(X62) ),
    inference(duplicate_literal_removal,[],[f139]) ).

fof(f139,plain,
    ! [X62,X61] :
      ( hskp3
      | ~ c1_1(X61)
      | c3_1(X61)
      | c0_1(X61)
      | ~ ndr1_0
      | ~ c1_1(X62)
      | c2_1(X62)
      | c0_1(X62)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f457,plain,
    ( spl0_54
    | ~ spl0_18
    | spl0_36
    | spl0_26 ),
    inference(avatar_split_clause,[],[f199,f328,f371,f295,f451]) ).

fof(f199,plain,
    ! [X59,X60] :
      ( hskp4
      | ~ c2_1(X59)
      | ~ c0_1(X59)
      | c1_1(X59)
      | ~ ndr1_0
      | ~ c1_1(X60)
      | c2_1(X60)
      | c0_1(X60) ),
    inference(duplicate_literal_removal,[],[f140]) ).

fof(f140,plain,
    ! [X59,X60] :
      ( hskp4
      | ~ c2_1(X59)
      | ~ c0_1(X59)
      | c1_1(X59)
      | ~ ndr1_0
      | ~ c1_1(X60)
      | c2_1(X60)
      | c0_1(X60)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f456,plain,
    ( spl0_54
    | ~ spl0_18
    | spl0_39
    | spl0_11 ),
    inference(avatar_split_clause,[],[f200,f264,f385,f295,f451]) ).

fof(f200,plain,
    ! [X58,X57] :
      ( hskp5
      | ~ c3_1(X57)
      | ~ c0_1(X57)
      | c1_1(X57)
      | ~ ndr1_0
      | ~ c1_1(X58)
      | c2_1(X58)
      | c0_1(X58) ),
    inference(duplicate_literal_removal,[],[f141]) ).

fof(f141,plain,
    ! [X58,X57] :
      ( hskp5
      | ~ c3_1(X57)
      | ~ c0_1(X57)
      | c1_1(X57)
      | ~ ndr1_0
      | ~ c1_1(X58)
      | c2_1(X58)
      | c0_1(X58)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f455,plain,
    ( spl0_54
    | ~ spl0_18
    | spl0_29
    | spl0_7 ),
    inference(avatar_split_clause,[],[f201,f247,f340,f295,f451]) ).

fof(f201,plain,
    ! [X56,X55] :
      ( hskp6
      | ~ c1_1(X55)
      | ~ c0_1(X55)
      | c3_1(X55)
      | ~ ndr1_0
      | ~ c1_1(X56)
      | c2_1(X56)
      | c0_1(X56) ),
    inference(duplicate_literal_removal,[],[f142]) ).

fof(f142,plain,
    ! [X56,X55] :
      ( hskp6
      | ~ c1_1(X55)
      | ~ c0_1(X55)
      | c3_1(X55)
      | ~ ndr1_0
      | ~ c1_1(X56)
      | c2_1(X56)
      | c0_1(X56)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f444,plain,
    ( ~ spl0_18
    | spl0_52
    | spl0_15
    | spl0_6 ),
    inference(avatar_split_clause,[],[f146,f242,f281,f442,f295]) ).

fof(f146,plain,
    ! [X50] :
      ( hskp11
      | hskp10
      | ~ c3_1(X50)
      | c2_1(X50)
      | c0_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f440,plain,
    ( spl0_51
    | ~ spl0_18
    | spl0_30
    | spl0_2 ),
    inference(avatar_split_clause,[],[f203,f224,f345,f295,f438]) ).

fof(f203,plain,
    ! [X48,X49] :
      ( hskp12
      | ~ c3_1(X48)
      | ~ c1_1(X48)
      | c2_1(X48)
      | ~ ndr1_0
      | ~ c1_1(X49)
      | c3_1(X49)
      | c0_1(X49) ),
    inference(duplicate_literal_removal,[],[f147]) ).

fof(f147,plain,
    ! [X48,X49] :
      ( hskp12
      | ~ c3_1(X48)
      | ~ c1_1(X48)
      | c2_1(X48)
      | ~ ndr1_0
      | ~ c1_1(X49)
      | c3_1(X49)
      | c0_1(X49)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f436,plain,
    ( spl0_50
    | ~ spl0_18
    | spl0_25
    | spl0_24 ),
    inference(avatar_split_clause,[],[f204,f319,f324,f295,f434]) ).

fof(f204,plain,
    ! [X46,X47] :
      ( hskp8
      | ~ c2_1(X46)
      | ~ c1_1(X46)
      | c3_1(X46)
      | ~ ndr1_0
      | ~ c2_1(X47)
      | c3_1(X47)
      | c0_1(X47) ),
    inference(duplicate_literal_removal,[],[f148]) ).

fof(f148,plain,
    ! [X46,X47] :
      ( hskp8
      | ~ c2_1(X46)
      | ~ c1_1(X46)
      | c3_1(X46)
      | ~ ndr1_0
      | ~ c2_1(X47)
      | c3_1(X47)
      | c0_1(X47)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f432,plain,
    ( spl0_49
    | ~ spl0_18
    | spl0_33
    | spl0_2 ),
    inference(avatar_split_clause,[],[f205,f224,f359,f295,f429]) ).

fof(f205,plain,
    ! [X44,X45] :
      ( hskp12
      | ~ c0_1(X44)
      | c3_1(X44)
      | c2_1(X44)
      | ~ ndr1_0
      | ~ c2_1(X45)
      | ~ c1_1(X45)
      | c0_1(X45) ),
    inference(duplicate_literal_removal,[],[f149]) ).

fof(f149,plain,
    ! [X44,X45] :
      ( hskp12
      | ~ c0_1(X44)
      | c3_1(X44)
      | c2_1(X44)
      | ~ ndr1_0
      | ~ c2_1(X45)
      | ~ c1_1(X45)
      | c0_1(X45)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f431,plain,
    ( spl0_49
    | ~ spl0_18
    | spl0_29
    | spl0_42 ),
    inference(avatar_split_clause,[],[f206,f398,f340,f295,f429]) ).

fof(f206,plain,
    ! [X42,X43] :
      ( hskp13
      | ~ c1_1(X42)
      | ~ c0_1(X42)
      | c3_1(X42)
      | ~ ndr1_0
      | ~ c2_1(X43)
      | ~ c1_1(X43)
      | c0_1(X43) ),
    inference(duplicate_literal_removal,[],[f150]) ).

fof(f150,plain,
    ! [X42,X43] :
      ( hskp13
      | ~ c1_1(X42)
      | ~ c0_1(X42)
      | c3_1(X42)
      | ~ ndr1_0
      | ~ c2_1(X43)
      | ~ c1_1(X43)
      | c0_1(X43)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f406,plain,
    ( ~ spl0_18
    | spl0_43
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f155,f251,f247,f403,f295]) ).

fof(f155,plain,
    ! [X34] :
      ( hskp15
      | hskp6
      | ~ c3_1(X34)
      | c2_1(X34)
      | c1_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f405,plain,
    ( ~ spl0_18
    | spl0_43
    | spl0_5 ),
    inference(avatar_split_clause,[],[f156,f237,f403,f295]) ).

fof(f156,plain,
    ! [X33] :
      ( hskp16
      | ~ c3_1(X33)
      | c2_1(X33)
      | c1_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f396,plain,
    ( spl0_41
    | ~ spl0_18
    | spl0_31
    | spl0_10 ),
    inference(avatar_split_clause,[],[f211,f260,f349,f295,f394]) ).

fof(f211,plain,
    ! [X29,X30] :
      ( hskp17
      | ~ c1_1(X29)
      | c3_1(X29)
      | c2_1(X29)
      | ~ ndr1_0
      | ~ c0_1(X30)
      | c3_1(X30)
      | c1_1(X30) ),
    inference(duplicate_literal_removal,[],[f158]) ).

fof(f158,plain,
    ! [X29,X30] :
      ( hskp17
      | ~ c1_1(X29)
      | c3_1(X29)
      | c2_1(X29)
      | ~ ndr1_0
      | ~ c0_1(X30)
      | c3_1(X30)
      | c1_1(X30)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f387,plain,
    ( spl0_36
    | ~ spl0_18
    | spl0_39
    | spl0_26 ),
    inference(avatar_split_clause,[],[f213,f328,f385,f295,f371]) ).

fof(f213,plain,
    ! [X24,X25] :
      ( hskp4
      | ~ c3_1(X24)
      | ~ c0_1(X24)
      | c1_1(X24)
      | ~ ndr1_0
      | ~ c2_1(X25)
      | ~ c0_1(X25)
      | c1_1(X25) ),
    inference(duplicate_literal_removal,[],[f161]) ).

fof(f161,plain,
    ! [X24,X25] :
      ( hskp4
      | ~ c3_1(X24)
      | ~ c0_1(X24)
      | c1_1(X24)
      | ~ ndr1_0
      | ~ c2_1(X25)
      | ~ c0_1(X25)
      | c1_1(X25)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f378,plain,
    ( ~ spl0_18
    | spl0_36
    | spl0_37
    | spl0_2 ),
    inference(avatar_split_clause,[],[f163,f224,f375,f371,f295]) ).

fof(f163,plain,
    ! [X22] :
      ( hskp12
      | hskp19
      | ~ c2_1(X22)
      | ~ c0_1(X22)
      | c1_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f373,plain,
    ( ~ spl0_18
    | spl0_36
    | spl0_6
    | spl0_1 ),
    inference(avatar_split_clause,[],[f164,f220,f242,f371,f295]) ).

fof(f164,plain,
    ! [X21] :
      ( hskp20
      | hskp11
      | ~ c2_1(X21)
      | ~ c0_1(X21)
      | c1_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f361,plain,
    ( ~ spl0_18
    | spl0_33
    | spl0_22 ),
    inference(avatar_split_clause,[],[f166,f310,f359,f295]) ).

fof(f166,plain,
    ! [X19] :
      ( hskp21
      | ~ c0_1(X19)
      | c3_1(X19)
      | c2_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f355,plain,
    ( ~ spl0_18
    | spl0_31
    | spl0_32 ),
    inference(avatar_split_clause,[],[f169,f352,f349,f295]) ).

fof(f169,plain,
    ! [X13] :
      ( hskp22
      | ~ c1_1(X13)
      | c3_1(X13)
      | c2_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f347,plain,
    ( spl0_30
    | ~ spl0_18
    | spl0_28 ),
    inference(avatar_split_clause,[],[f216,f336,f295,f345]) ).

fof(f216,plain,
    ! [X11,X12] :
      ( ~ c3_1(X11)
      | ~ c2_1(X11)
      | ~ c0_1(X11)
      | ~ ndr1_0
      | ~ c3_1(X12)
      | ~ c1_1(X12)
      | c2_1(X12) ),
    inference(duplicate_literal_removal,[],[f170]) ).

fof(f170,plain,
    ! [X11,X12] :
      ( ~ c3_1(X11)
      | ~ c2_1(X11)
      | ~ c0_1(X11)
      | ~ ndr1_0
      | ~ c3_1(X12)
      | ~ c1_1(X12)
      | c2_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f343,plain,
    ( ~ spl0_18
    | spl0_29
    | spl0_10
    | spl0_26 ),
    inference(avatar_split_clause,[],[f171,f328,f260,f340,f295]) ).

fof(f171,plain,
    ! [X10] :
      ( hskp4
      | hskp17
      | ~ c1_1(X10)
      | ~ c0_1(X10)
      | c3_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f338,plain,
    ( spl0_27
    | ~ spl0_18
    | spl0_28
    | spl0_6 ),
    inference(avatar_split_clause,[],[f217,f242,f336,f295,f333]) ).

fof(f217,plain,
    ! [X8,X7] :
      ( hskp11
      | ~ c3_1(X7)
      | ~ c2_1(X7)
      | ~ c0_1(X7)
      | ~ ndr1_0
      | ~ c2_1(X8)
      | ~ c0_1(X8)
      | c3_1(X8) ),
    inference(duplicate_literal_removal,[],[f173]) ).

fof(f173,plain,
    ! [X8,X7] :
      ( hskp11
      | ~ c3_1(X7)
      | ~ c2_1(X7)
      | ~ c0_1(X7)
      | ~ ndr1_0
      | ~ c2_1(X8)
      | ~ c0_1(X8)
      | c3_1(X8)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f326,plain,
    ( ~ spl0_18
    | spl0_25
    | spl0_8
    | spl0_3 ),
    inference(avatar_split_clause,[],[f175,f228,f251,f324,f295]) ).

fof(f175,plain,
    ! [X4] :
      ( hskp25
      | hskp15
      | ~ c2_1(X4)
      | ~ c1_1(X4)
      | c3_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f258,plain,
    ( spl0_7
    | spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f183,f255,f251,f247]) ).

fof(f183,plain,
    ( hskp23
    | hskp15
    | hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f245,plain,
    ( spl0_4
    | spl0_6
    | spl0_2 ),
    inference(avatar_split_clause,[],[f184,f224,f242,f233]) ).

fof(f184,plain,
    ( hskp12
    | hskp11
    | hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f240,plain,
    ( spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f185,f237,f233]) ).

fof(f185,plain,
    ( hskp16
    | hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SYN445+1 : TPTP v8.1.2. Released v2.1.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n009.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
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 17:16:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (5027)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38  % (5036)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.38  % (5033)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38  % (5038)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38  % (5035)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)
% 0.22/0.38  % (5037)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38  % (5039)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)
% 0.22/0.38  % (5034)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38  Detected minimum model sizes of [1]
% 0.22/0.38  Detected maximum model sizes of [30]
% 0.22/0.38  TRYING [1]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  Detected minimum model sizes of [1]
% 0.22/0.39  Detected maximum model sizes of [30]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  TRYING [3]
% 0.22/0.39  Detected minimum model sizes of [1]
% 0.22/0.39  Detected maximum model sizes of [30]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  TRYING [3]
% 0.22/0.39  Detected minimum model sizes of [1]
% 0.22/0.39  Detected maximum model sizes of [30]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [3]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  TRYING [4]
% 0.22/0.40  TRYING [3]
% 0.22/0.40  TRYING [4]
% 0.22/0.40  TRYING [4]
% 0.22/0.40  TRYING [4]
% 0.22/0.40  TRYING [5]
% 0.22/0.40  TRYING [5]
% 0.22/0.41  TRYING [5]
% 0.22/0.41  TRYING [5]
% 0.22/0.42  % (5038)First to succeed.
% 0.22/0.43  % (5038)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5027"
% 0.22/0.43  % (5038)Refutation found. Thanks to Tanya!
% 0.22/0.43  % SZS status Theorem for theBenchmark
% 0.22/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.43  % (5038)------------------------------
% 0.22/0.43  % (5038)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.43  % (5038)Termination reason: Refutation
% 0.22/0.43  
% 0.22/0.43  % (5038)Memory used [KB]: 1889
% 0.22/0.43  % (5038)Time elapsed: 0.048 s
% 0.22/0.43  % (5038)Instructions burned: 80 (million)
% 0.22/0.43  % (5027)Success in time 0.061 s
%------------------------------------------------------------------------------