TSTP Solution File: SYN481+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN481+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 : n025.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 12:10:51 EDT 2024

% Result   : Theorem 0.22s 0.45s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  137
% Syntax   : Number of formulae    :  781 (   1 unt;   0 def)
%            Number of atoms       : 7026 (   0 equ)
%            Maximal formula atoms :  699 (   8 avg)
%            Number of connectives : 9473 (3228   ~;4491   |;1194   &)
%                                         ( 136 <=>; 424  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  114 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  173 ( 172 usr; 169 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  869 ( 869   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3935,plain,
    $false,
    inference(avatar_sat_refutation,[],[f253,f271,f285,f294,f304,f313,f331,f332,f363,f364,f374,f386,f387,f391,f416,f421,f422,f427,f431,f436,f448,f449,f450,f454,f459,f460,f468,f469,f470,f474,f475,f476,f480,f481,f485,f486,f487,f491,f495,f496,f497,f498,f502,f504,f508,f509,f515,f516,f524,f528,f530,f531,f552,f557,f562,f568,f573,f578,f600,f605,f610,f616,f621,f626,f632,f637,f642,f664,f669,f674,f712,f717,f722,f728,f733,f738,f744,f749,f754,f760,f765,f770,f776,f781,f786,f792,f797,f802,f808,f813,f818,f824,f829,f834,f840,f845,f850,f856,f861,f866,f877,f882,f888,f893,f898,f904,f909,f914,f936,f941,f946,f947,f968,f973,f978,f984,f989,f994,f1000,f1005,f1010,f1011,f1016,f1021,f1026,f1027,f1114,f1209,f1363,f1579,f1581,f1671,f1701,f1704,f1736,f1789,f1844,f1847,f1882,f1898,f1915,f1928,f1935,f1964,f1966,f1985,f2038,f2117,f2144,f2168,f2207,f2248,f2266,f2298,f2302,f2303,f2353,f2363,f2401,f2435,f2481,f2522,f2588,f2620,f2626,f2658,f2715,f2738,f2744,f2765,f2794,f2818,f2845,f2874,f2898,f2900,f2943,f2976,f3019,f3055,f3091,f3110,f3180,f3345,f3349,f3355,f3381,f3418,f3420,f3456,f3503,f3521,f3551,f3552,f3607,f3642,f3646,f3715,f3762,f3848,f3878,f3934]) ).

fof(f3934,plain,
    ( ~ spl0_37
    | ~ spl0_50
    | spl0_113
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(avatar_contradiction_clause,[],[f3933]) ).

fof(f3933,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_50
    | spl0_113
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(subsumption_resolution,[],[f3932,f812]) ).

fof(f812,plain,
    ( c3_1(a1658)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f810,plain,
    ( spl0_114
  <=> c3_1(a1658) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f3932,plain,
    ( ~ c3_1(a1658)
    | ~ spl0_37
    | ~ spl0_50
    | spl0_113
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(subsumption_resolution,[],[f3931,f807]) ).

fof(f807,plain,
    ( ~ c2_1(a1658)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f805,plain,
    ( spl0_113
  <=> c2_1(a1658) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f3931,plain,
    ( c2_1(a1658)
    | ~ c3_1(a1658)
    | ~ spl0_37
    | ~ spl0_50
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(resolution,[],[f3812,f406]) ).

fof(f406,plain,
    ( ! [X14] :
        ( ~ c0_1(X14)
        | c2_1(X14)
        | ~ c3_1(X14) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f405,plain,
    ( spl0_37
  <=> ! [X14] :
        ( ~ c3_1(X14)
        | c2_1(X14)
        | ~ c0_1(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f3812,plain,
    ( c0_1(a1658)
    | ~ spl0_50
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(subsumption_resolution,[],[f3795,f817]) ).

fof(f817,plain,
    ( c1_1(a1658)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f815,plain,
    ( spl0_115
  <=> c1_1(a1658) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f3795,plain,
    ( c0_1(a1658)
    | ~ c1_1(a1658)
    | ~ spl0_50
    | ~ spl0_114 ),
    inference(resolution,[],[f467,f812]) ).

fof(f467,plain,
    ( ! [X44] :
        ( ~ c3_1(X44)
        | c0_1(X44)
        | ~ c1_1(X44) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f466,plain,
    ( spl0_50
  <=> ! [X44] :
        ( ~ c3_1(X44)
        | c0_1(X44)
        | ~ c1_1(X44) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f3878,plain,
    ( spl0_146
    | ~ spl0_50
    | ~ spl0_52
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f3860,f991,f478,f466,f981]) ).

fof(f981,plain,
    ( spl0_146
  <=> c0_1(a1637) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f478,plain,
    ( spl0_52
  <=> ! [X55] :
        ( ~ c1_1(X55)
        | c0_1(X55)
        | c3_1(X55) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f991,plain,
    ( spl0_148
  <=> c1_1(a1637) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f3860,plain,
    ( c0_1(a1637)
    | ~ spl0_50
    | ~ spl0_52
    | ~ spl0_148 ),
    inference(resolution,[],[f3821,f993]) ).

fof(f993,plain,
    ( c1_1(a1637)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f991]) ).

fof(f3821,plain,
    ( ! [X55] :
        ( ~ c1_1(X55)
        | c0_1(X55) )
    | ~ spl0_50
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f479,f467]) ).

fof(f479,plain,
    ( ! [X55] :
        ( ~ c1_1(X55)
        | c0_1(X55)
        | c3_1(X55) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f3848,plain,
    ( ~ spl0_177
    | spl0_144
    | ~ spl0_50
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f3790,f975,f466,f970,f3548]) ).

fof(f3548,plain,
    ( spl0_177
  <=> c1_1(a1638) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f970,plain,
    ( spl0_144
  <=> c0_1(a1638) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f975,plain,
    ( spl0_145
  <=> c3_1(a1638) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f3790,plain,
    ( c0_1(a1638)
    | ~ c1_1(a1638)
    | ~ spl0_50
    | ~ spl0_145 ),
    inference(resolution,[],[f467,f977]) ).

fof(f977,plain,
    ( c3_1(a1638)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f975]) ).

fof(f3762,plain,
    ( ~ spl0_30
    | ~ spl0_44
    | ~ spl0_48
    | ~ spl0_54
    | spl0_120
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f3761]) ).

fof(f3761,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_44
    | ~ spl0_48
    | ~ spl0_54
    | spl0_120
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f3745,f844]) ).

fof(f844,plain,
    ( ~ c0_1(a1650)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f842,plain,
    ( spl0_120
  <=> c0_1(a1650) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f3745,plain,
    ( c0_1(a1650)
    | ~ spl0_30
    | ~ spl0_44
    | ~ spl0_48
    | ~ spl0_54
    | ~ spl0_121 ),
    inference(resolution,[],[f3738,f849]) ).

fof(f849,plain,
    ( c1_1(a1650)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f847,plain,
    ( spl0_121
  <=> c1_1(a1650) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f3738,plain,
    ( ! [X65] :
        ( ~ c1_1(X65)
        | c0_1(X65) )
    | ~ spl0_30
    | ~ spl0_44
    | ~ spl0_48
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f490,f3711]) ).

fof(f3711,plain,
    ( ! [X35] :
        ( ~ c2_1(X35)
        | c0_1(X35) )
    | ~ spl0_30
    | ~ spl0_44
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f457,f3648]) ).

fof(f3648,plain,
    ( ! [X27] :
        ( ~ c2_1(X27)
        | c3_1(X27) )
    | ~ spl0_30
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f439,f377]) ).

fof(f377,plain,
    ( ! [X5] :
        ( ~ c1_1(X5)
        | c3_1(X5)
        | ~ c2_1(X5) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f376,plain,
    ( spl0_30
  <=> ! [X5] :
        ( ~ c2_1(X5)
        | c3_1(X5)
        | ~ c1_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f439,plain,
    ( ! [X27] :
        ( ~ c2_1(X27)
        | c1_1(X27)
        | c3_1(X27) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f438,plain,
    ( spl0_44
  <=> ! [X27] :
        ( ~ c2_1(X27)
        | c1_1(X27)
        | c3_1(X27) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f457,plain,
    ( ! [X35] :
        ( ~ c2_1(X35)
        | c0_1(X35)
        | ~ c3_1(X35) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f456,plain,
    ( spl0_48
  <=> ! [X35] :
        ( ~ c3_1(X35)
        | c0_1(X35)
        | ~ c2_1(X35) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f490,plain,
    ( ! [X65] :
        ( c2_1(X65)
        | c0_1(X65)
        | ~ c1_1(X65) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f489,plain,
    ( spl0_54
  <=> ! [X65] :
        ( ~ c1_1(X65)
        | c0_1(X65)
        | c2_1(X65) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f3715,plain,
    ( ~ spl0_45
    | spl0_107
    | spl0_108
    | ~ spl0_165 ),
    inference(avatar_contradiction_clause,[],[f3714]) ).

fof(f3714,plain,
    ( $false
    | ~ spl0_45
    | spl0_107
    | spl0_108
    | ~ spl0_165 ),
    inference(subsumption_resolution,[],[f3713,f775]) ).

fof(f775,plain,
    ( ~ c2_1(a1664)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f773]) ).

fof(f773,plain,
    ( spl0_107
  <=> c2_1(a1664) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f3713,plain,
    ( c2_1(a1664)
    | ~ spl0_45
    | spl0_108
    | ~ spl0_165 ),
    inference(subsumption_resolution,[],[f3712,f780]) ).

fof(f780,plain,
    ( ~ c1_1(a1664)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f778,plain,
    ( spl0_108
  <=> c1_1(a1664) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f3712,plain,
    ( c1_1(a1664)
    | c2_1(a1664)
    | ~ spl0_45
    | ~ spl0_165 ),
    inference(resolution,[],[f2136,f443]) ).

fof(f443,plain,
    ( ! [X28] :
        ( ~ c3_1(X28)
        | c1_1(X28)
        | c2_1(X28) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f442,plain,
    ( spl0_45
  <=> ! [X28] :
        ( ~ c3_1(X28)
        | c1_1(X28)
        | c2_1(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f2136,plain,
    ( c3_1(a1664)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f2134]) ).

fof(f2134,plain,
    ( spl0_165
  <=> c3_1(a1664) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f3646,plain,
    ( ~ spl0_51
    | ~ spl0_58
    | spl0_74
    | ~ spl0_76 ),
    inference(avatar_contradiction_clause,[],[f3645]) ).

fof(f3645,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_58
    | spl0_74
    | ~ spl0_76 ),
    inference(subsumption_resolution,[],[f3634,f599]) ).

fof(f599,plain,
    ( ~ c0_1(a1737)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f597,plain,
    ( spl0_74
  <=> c0_1(a1737) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f3634,plain,
    ( c0_1(a1737)
    | ~ spl0_51
    | ~ spl0_58
    | ~ spl0_76 ),
    inference(resolution,[],[f3588,f609]) ).

fof(f609,plain,
    ( c2_1(a1737)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f607,plain,
    ( spl0_76
  <=> c2_1(a1737) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f3588,plain,
    ( ! [X86] :
        ( ~ c2_1(X86)
        | c0_1(X86) )
    | ~ spl0_51
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f512,f473]) ).

fof(f473,plain,
    ( ! [X49] :
        ( ~ c2_1(X49)
        | c0_1(X49)
        | ~ c1_1(X49) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f472,plain,
    ( spl0_51
  <=> ! [X49] :
        ( ~ c2_1(X49)
        | c0_1(X49)
        | ~ c1_1(X49) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f512,plain,
    ( ! [X86] :
        ( ~ c2_1(X86)
        | c0_1(X86)
        | c1_1(X86) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f511,plain,
    ( spl0_58
  <=> ! [X86] :
        ( ~ c2_1(X86)
        | c0_1(X86)
        | c1_1(X86) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f3642,plain,
    ( ~ spl0_51
    | ~ spl0_58
    | spl0_102
    | ~ spl0_103 ),
    inference(avatar_contradiction_clause,[],[f3641]) ).

fof(f3641,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_58
    | spl0_102
    | ~ spl0_103 ),
    inference(subsumption_resolution,[],[f3629,f748]) ).

fof(f748,plain,
    ( ~ c0_1(a1675)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f746,plain,
    ( spl0_102
  <=> c0_1(a1675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f3629,plain,
    ( c0_1(a1675)
    | ~ spl0_51
    | ~ spl0_58
    | ~ spl0_103 ),
    inference(resolution,[],[f3588,f753]) ).

fof(f753,plain,
    ( c2_1(a1675)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f751,plain,
    ( spl0_103
  <=> c2_1(a1675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f3607,plain,
    ( ~ spl0_162
    | spl0_74
    | ~ spl0_51
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f3431,f607,f472,f597,f1808]) ).

fof(f1808,plain,
    ( spl0_162
  <=> c1_1(a1737) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f3431,plain,
    ( c0_1(a1737)
    | ~ c1_1(a1737)
    | ~ spl0_51
    | ~ spl0_76 ),
    inference(resolution,[],[f609,f473]) ).

fof(f3552,plain,
    ( spl0_144
    | ~ spl0_51
    | ~ spl0_54
    | ~ spl0_56
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f3527,f975,f500,f489,f472,f970]) ).

fof(f500,plain,
    ( spl0_56
  <=> ! [X75] :
        ( ~ c3_1(X75)
        | c0_1(X75)
        | c1_1(X75) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f3527,plain,
    ( c0_1(a1638)
    | ~ spl0_51
    | ~ spl0_54
    | ~ spl0_56
    | ~ spl0_145 ),
    inference(resolution,[],[f3524,f977]) ).

fof(f3524,plain,
    ( ! [X75] :
        ( ~ c3_1(X75)
        | c0_1(X75) )
    | ~ spl0_51
    | ~ spl0_54
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f501,f3429]) ).

fof(f3429,plain,
    ( ! [X65] :
        ( ~ c1_1(X65)
        | c0_1(X65) )
    | ~ spl0_51
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f490,f473]) ).

fof(f501,plain,
    ( ! [X75] :
        ( ~ c3_1(X75)
        | c0_1(X75)
        | c1_1(X75) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f3551,plain,
    ( spl0_143
    | spl0_177
    | ~ spl0_45
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f3386,f975,f442,f3548,f965]) ).

fof(f965,plain,
    ( spl0_143
  <=> c2_1(a1638) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f3386,plain,
    ( c1_1(a1638)
    | c2_1(a1638)
    | ~ spl0_45
    | ~ spl0_145 ),
    inference(resolution,[],[f443,f977]) ).

fof(f3521,plain,
    ( ~ spl0_37
    | ~ spl0_57
    | ~ spl0_65
    | ~ spl0_67 ),
    inference(avatar_contradiction_clause,[],[f3520]) ).

fof(f3520,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_57
    | ~ spl0_65
    | ~ spl0_67 ),
    inference(subsumption_resolution,[],[f3500,f561]) ).

fof(f561,plain,
    ( c0_1(a1647)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f559,plain,
    ( spl0_67
  <=> c0_1(a1647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f3500,plain,
    ( ~ c0_1(a1647)
    | ~ spl0_37
    | ~ spl0_57
    | ~ spl0_65 ),
    inference(resolution,[],[f3486,f551]) ).

fof(f551,plain,
    ( c3_1(a1647)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f549,plain,
    ( spl0_65
  <=> c3_1(a1647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f3486,plain,
    ( ! [X81] :
        ( ~ c3_1(X81)
        | ~ c0_1(X81) )
    | ~ spl0_37
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f507,f406]) ).

fof(f507,plain,
    ( ! [X81] :
        ( ~ c3_1(X81)
        | ~ c0_1(X81)
        | ~ c2_1(X81) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f506,plain,
    ( spl0_57
  <=> ! [X81] :
        ( ~ c3_1(X81)
        | ~ c0_1(X81)
        | ~ c2_1(X81) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f3503,plain,
    ( ~ spl0_37
    | ~ spl0_57
    | ~ spl0_153
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f3502]) ).

fof(f3502,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_57
    | ~ spl0_153
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f3487,f1025]) ).

fof(f1025,plain,
    ( c0_1(a1634)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f1023]) ).

fof(f1023,plain,
    ( spl0_154
  <=> c0_1(a1634) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f3487,plain,
    ( ~ c0_1(a1634)
    | ~ spl0_37
    | ~ spl0_57
    | ~ spl0_153 ),
    inference(resolution,[],[f3486,f1020]) ).

fof(f1020,plain,
    ( c3_1(a1634)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f1018]) ).

fof(f1018,plain,
    ( spl0_153
  <=> c3_1(a1634) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f3456,plain,
    ( spl0_137
    | spl0_159
    | ~ spl0_45
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f3388,f938,f442,f1673,f933]) ).

fof(f933,plain,
    ( spl0_137
  <=> c2_1(a1640) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1673,plain,
    ( spl0_159
  <=> c1_1(a1640) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f938,plain,
    ( spl0_138
  <=> c3_1(a1640) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f3388,plain,
    ( c1_1(a1640)
    | c2_1(a1640)
    | ~ spl0_45
    | ~ spl0_138 ),
    inference(resolution,[],[f443,f940]) ).

fof(f940,plain,
    ( c3_1(a1640)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f938]) ).

fof(f3420,plain,
    ( spl0_169
    | ~ spl0_55
    | spl0_149
    | spl0_151 ),
    inference(avatar_split_clause,[],[f3419,f1007,f997,f493,f2357]) ).

fof(f2357,plain,
    ( spl0_169
  <=> c3_1(a1636) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f493,plain,
    ( spl0_55
  <=> ! [X66] :
        ( c3_1(X66)
        | c0_1(X66)
        | c2_1(X66) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f997,plain,
    ( spl0_149
  <=> c2_1(a1636) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1007,plain,
    ( spl0_151
  <=> c0_1(a1636) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f3419,plain,
    ( c3_1(a1636)
    | ~ spl0_55
    | spl0_149
    | spl0_151 ),
    inference(subsumption_resolution,[],[f3404,f1009]) ).

fof(f1009,plain,
    ( ~ c0_1(a1636)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f1007]) ).

fof(f3404,plain,
    ( c0_1(a1636)
    | c3_1(a1636)
    | ~ spl0_55
    | spl0_149 ),
    inference(resolution,[],[f494,f999]) ).

fof(f999,plain,
    ( ~ c2_1(a1636)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f997]) ).

fof(f494,plain,
    ( ! [X66] :
        ( c2_1(X66)
        | c0_1(X66)
        | c3_1(X66) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f3418,plain,
    ( spl0_52
    | ~ spl0_51
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f3417,f493,f472,f478]) ).

fof(f3417,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_51
    | ~ spl0_55 ),
    inference(duplicate_literal_removal,[],[f3402]) ).

fof(f3402,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_51
    | ~ spl0_55 ),
    inference(resolution,[],[f494,f473]) ).

fof(f3381,plain,
    ( spl0_160
    | ~ spl0_30
    | ~ spl0_78
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f3380,f623,f618,f376,f1682]) ).

fof(f1682,plain,
    ( spl0_160
  <=> c3_1(a1709) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f618,plain,
    ( spl0_78
  <=> c2_1(a1709) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f623,plain,
    ( spl0_79
  <=> c1_1(a1709) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f3380,plain,
    ( c3_1(a1709)
    | ~ spl0_30
    | ~ spl0_78
    | ~ spl0_79 ),
    inference(subsumption_resolution,[],[f3371,f620]) ).

fof(f620,plain,
    ( c2_1(a1709)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f3371,plain,
    ( c3_1(a1709)
    | ~ c2_1(a1709)
    | ~ spl0_30
    | ~ spl0_79 ),
    inference(resolution,[],[f377,f625]) ).

fof(f625,plain,
    ( c1_1(a1709)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f623]) ).

fof(f3355,plain,
    ( spl0_158
    | spl0_152
    | ~ spl0_47
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f3290,f1023,f452,f1013,f1623]) ).

fof(f1623,plain,
    ( spl0_158
  <=> c2_1(a1634) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f1013,plain,
    ( spl0_152
  <=> c1_1(a1634) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f452,plain,
    ( spl0_47
  <=> ! [X34] :
        ( ~ c0_1(X34)
        | c1_1(X34)
        | c2_1(X34) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f3290,plain,
    ( c1_1(a1634)
    | c2_1(a1634)
    | ~ spl0_47
    | ~ spl0_154 ),
    inference(resolution,[],[f453,f1025]) ).

fof(f453,plain,
    ( ! [X34] :
        ( ~ c0_1(X34)
        | c1_1(X34)
        | c2_1(X34) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f3349,plain,
    ( ~ spl0_51
    | ~ spl0_54
    | spl0_120
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f3348]) ).

fof(f3348,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_54
    | spl0_120
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f3331,f844]) ).

fof(f3331,plain,
    ( c0_1(a1650)
    | ~ spl0_51
    | ~ spl0_54
    | ~ spl0_121 ),
    inference(resolution,[],[f3322,f849]) ).

fof(f3322,plain,
    ( ! [X65] :
        ( ~ c1_1(X65)
        | c0_1(X65) )
    | ~ spl0_51
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f490,f473]) ).

fof(f3345,plain,
    ( ~ spl0_51
    | ~ spl0_54
    | spl0_146
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f3344]) ).

fof(f3344,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_54
    | spl0_146
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f3325,f983]) ).

fof(f983,plain,
    ( ~ c0_1(a1637)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f981]) ).

fof(f3325,plain,
    ( c0_1(a1637)
    | ~ spl0_51
    | ~ spl0_54
    | ~ spl0_148 ),
    inference(resolution,[],[f3322,f993]) ).

fof(f3180,plain,
    ( spl0_170
    | ~ spl0_48
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f3179,f570,f565,f456,f2398]) ).

fof(f2398,plain,
    ( spl0_170
  <=> c0_1(a1646) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f565,plain,
    ( spl0_68
  <=> c3_1(a1646) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f570,plain,
    ( spl0_69
  <=> c2_1(a1646) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f3179,plain,
    ( c0_1(a1646)
    | ~ spl0_48
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(subsumption_resolution,[],[f3172,f567]) ).

fof(f567,plain,
    ( c3_1(a1646)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f3172,plain,
    ( c0_1(a1646)
    | ~ c3_1(a1646)
    | ~ spl0_48
    | ~ spl0_69 ),
    inference(resolution,[],[f457,f572]) ).

fof(f572,plain,
    ( c2_1(a1646)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f3110,plain,
    ( ~ spl0_169
    | ~ spl0_40
    | ~ spl0_45
    | spl0_150 ),
    inference(avatar_split_clause,[],[f3101,f1002,f442,f419,f2357]) ).

fof(f419,plain,
    ( spl0_40
  <=> ! [X18] :
        ( ~ c3_1(X18)
        | c1_1(X18)
        | ~ c2_1(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1002,plain,
    ( spl0_150
  <=> c1_1(a1636) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f3101,plain,
    ( ~ c3_1(a1636)
    | ~ spl0_40
    | ~ spl0_45
    | spl0_150 ),
    inference(resolution,[],[f3099,f1004]) ).

fof(f1004,plain,
    ( ~ c1_1(a1636)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f1002]) ).

fof(f3099,plain,
    ( ! [X28] :
        ( c1_1(X28)
        | ~ c3_1(X28) )
    | ~ spl0_40
    | ~ spl0_45 ),
    inference(subsumption_resolution,[],[f443,f420]) ).

fof(f420,plain,
    ( ! [X18] :
        ( ~ c2_1(X18)
        | c1_1(X18)
        | ~ c3_1(X18) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f3091,plain,
    ( ~ spl0_37
    | ~ spl0_153
    | ~ spl0_154
    | spl0_158 ),
    inference(avatar_contradiction_clause,[],[f3090]) ).

fof(f3090,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_153
    | ~ spl0_154
    | spl0_158 ),
    inference(subsumption_resolution,[],[f3089,f1020]) ).

fof(f3089,plain,
    ( ~ c3_1(a1634)
    | ~ spl0_37
    | ~ spl0_154
    | spl0_158 ),
    inference(subsumption_resolution,[],[f3077,f1624]) ).

fof(f1624,plain,
    ( ~ c2_1(a1634)
    | spl0_158 ),
    inference(avatar_component_clause,[],[f1623]) ).

fof(f3077,plain,
    ( c2_1(a1634)
    | ~ c3_1(a1634)
    | ~ spl0_37
    | ~ spl0_154 ),
    inference(resolution,[],[f406,f1025]) ).

fof(f3055,plain,
    ( ~ spl0_170
    | ~ spl0_32
    | ~ spl0_68
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f3054,f575,f565,f384,f2398]) ).

fof(f384,plain,
    ( spl0_32
  <=> ! [X6] :
        ( ~ c3_1(X6)
        | ~ c0_1(X6)
        | ~ c1_1(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f575,plain,
    ( spl0_70
  <=> c1_1(a1646) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f3054,plain,
    ( ~ c0_1(a1646)
    | ~ spl0_32
    | ~ spl0_68
    | ~ spl0_70 ),
    inference(subsumption_resolution,[],[f3042,f577]) ).

fof(f577,plain,
    ( c1_1(a1646)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f3042,plain,
    ( ~ c0_1(a1646)
    | ~ c1_1(a1646)
    | ~ spl0_32
    | ~ spl0_68 ),
    inference(resolution,[],[f385,f567]) ).

fof(f385,plain,
    ( ! [X6] :
        ( ~ c3_1(X6)
        | ~ c0_1(X6)
        | ~ c1_1(X6) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f3019,plain,
    ( ~ spl0_124
    | ~ spl0_42
    | ~ spl0_123
    | spl0_163 ),
    inference(avatar_split_clause,[],[f3018,f2035,f858,f429,f863]) ).

fof(f863,plain,
    ( spl0_124
  <=> c0_1(a1648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f429,plain,
    ( spl0_42
  <=> ! [X24] :
        ( ~ c2_1(X24)
        | c1_1(X24)
        | ~ c0_1(X24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f858,plain,
    ( spl0_123
  <=> c2_1(a1648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f2035,plain,
    ( spl0_163
  <=> c1_1(a1648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f3018,plain,
    ( ~ c0_1(a1648)
    | ~ spl0_42
    | ~ spl0_123
    | spl0_163 ),
    inference(subsumption_resolution,[],[f2984,f2037]) ).

fof(f2037,plain,
    ( ~ c1_1(a1648)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f2035]) ).

fof(f2984,plain,
    ( c1_1(a1648)
    | ~ c0_1(a1648)
    | ~ spl0_42
    | ~ spl0_123 ),
    inference(resolution,[],[f430,f860]) ).

fof(f860,plain,
    ( c2_1(a1648)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f858]) ).

fof(f430,plain,
    ( ! [X24] :
        ( ~ c2_1(X24)
        | c1_1(X24)
        | ~ c0_1(X24) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f2976,plain,
    ( spl0_162
    | ~ spl0_40
    | ~ spl0_75
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f2975,f607,f602,f419,f1808]) ).

fof(f602,plain,
    ( spl0_75
  <=> c3_1(a1737) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f2975,plain,
    ( c1_1(a1737)
    | ~ spl0_40
    | ~ spl0_75
    | ~ spl0_76 ),
    inference(subsumption_resolution,[],[f2965,f604]) ).

fof(f604,plain,
    ( c3_1(a1737)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f2965,plain,
    ( c1_1(a1737)
    | ~ c3_1(a1737)
    | ~ spl0_40
    | ~ spl0_76 ),
    inference(resolution,[],[f420,f609]) ).

fof(f2943,plain,
    ( spl0_168
    | ~ spl0_33
    | ~ spl0_105
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2942,f767,f762,f389,f2278]) ).

fof(f2278,plain,
    ( spl0_168
  <=> c3_1(a1667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f389,plain,
    ( spl0_33
  <=> ! [X10] :
        ( ~ c2_1(X10)
        | c3_1(X10)
        | ~ c0_1(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f762,plain,
    ( spl0_105
  <=> c2_1(a1667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f767,plain,
    ( spl0_106
  <=> c0_1(a1667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f2942,plain,
    ( c3_1(a1667)
    | ~ spl0_33
    | ~ spl0_105
    | ~ spl0_106 ),
    inference(subsumption_resolution,[],[f2934,f769]) ).

fof(f769,plain,
    ( c0_1(a1667)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f2934,plain,
    ( c3_1(a1667)
    | ~ c0_1(a1667)
    | ~ spl0_33
    | ~ spl0_105 ),
    inference(resolution,[],[f390,f764]) ).

fof(f764,plain,
    ( c2_1(a1667)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f390,plain,
    ( ! [X10] :
        ( ~ c2_1(X10)
        | c3_1(X10)
        | ~ c0_1(X10) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f2900,plain,
    ( spl0_122
    | ~ spl0_30
    | ~ spl0_123
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f2899,f2035,f858,f376,f853]) ).

fof(f853,plain,
    ( spl0_122
  <=> c3_1(a1648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f2899,plain,
    ( c3_1(a1648)
    | ~ spl0_30
    | ~ spl0_123
    | ~ spl0_163 ),
    inference(subsumption_resolution,[],[f2822,f860]) ).

fof(f2822,plain,
    ( c3_1(a1648)
    | ~ c2_1(a1648)
    | ~ spl0_30
    | ~ spl0_163 ),
    inference(resolution,[],[f2036,f377]) ).

fof(f2036,plain,
    ( c1_1(a1648)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f2035]) ).

fof(f2898,plain,
    ( ~ spl0_28
    | ~ spl0_51
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(avatar_contradiction_clause,[],[f2897]) ).

fof(f2897,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_51
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(subsumption_resolution,[],[f2886,f572]) ).

fof(f2886,plain,
    ( ~ c2_1(a1646)
    | ~ spl0_28
    | ~ spl0_51
    | ~ spl0_70 ),
    inference(resolution,[],[f2854,f577]) ).

fof(f2854,plain,
    ( ! [X49] :
        ( ~ c1_1(X49)
        | ~ c2_1(X49) )
    | ~ spl0_28
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f473,f367]) ).

fof(f367,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f366,plain,
    ( spl0_28
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f2874,plain,
    ( ~ spl0_53
    | ~ spl0_55
    | spl0_98
    | spl0_99 ),
    inference(avatar_contradiction_clause,[],[f2873]) ).

fof(f2873,plain,
    ( $false
    | ~ spl0_53
    | ~ spl0_55
    | spl0_98
    | spl0_99 ),
    inference(subsumption_resolution,[],[f2868,f732]) ).

fof(f732,plain,
    ( ~ c0_1(a1680)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f730]) ).

fof(f730,plain,
    ( spl0_99
  <=> c0_1(a1680) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f2868,plain,
    ( c0_1(a1680)
    | ~ spl0_53
    | ~ spl0_55
    | spl0_98 ),
    inference(resolution,[],[f2853,f727]) ).

fof(f727,plain,
    ( ~ c2_1(a1680)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f725,plain,
    ( spl0_98
  <=> c2_1(a1680) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f2853,plain,
    ( ! [X59] :
        ( c2_1(X59)
        | c0_1(X59) )
    | ~ spl0_53
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f484,f494]) ).

fof(f484,plain,
    ( ! [X59] :
        ( c2_1(X59)
        | c0_1(X59)
        | ~ c3_1(X59) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f483,plain,
    ( spl0_53
  <=> ! [X59] :
        ( ~ c3_1(X59)
        | c0_1(X59)
        | c2_1(X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f2845,plain,
    ( ~ spl0_56
    | spl0_150
    | spl0_151
    | ~ spl0_169 ),
    inference(avatar_contradiction_clause,[],[f2844]) ).

fof(f2844,plain,
    ( $false
    | ~ spl0_56
    | spl0_150
    | spl0_151
    | ~ spl0_169 ),
    inference(subsumption_resolution,[],[f2843,f1004]) ).

fof(f2843,plain,
    ( c1_1(a1636)
    | ~ spl0_56
    | spl0_151
    | ~ spl0_169 ),
    inference(subsumption_resolution,[],[f2824,f1009]) ).

fof(f2824,plain,
    ( c0_1(a1636)
    | c1_1(a1636)
    | ~ spl0_56
    | ~ spl0_169 ),
    inference(resolution,[],[f501,f2359]) ).

fof(f2359,plain,
    ( c3_1(a1636)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f2357]) ).

fof(f2818,plain,
    ( ~ spl0_55
    | spl0_86
    | spl0_87
    | spl0_88 ),
    inference(avatar_contradiction_clause,[],[f2817]) ).

fof(f2817,plain,
    ( $false
    | ~ spl0_55
    | spl0_86
    | spl0_87
    | spl0_88 ),
    inference(subsumption_resolution,[],[f2816,f663]) ).

fof(f663,plain,
    ( ~ c3_1(a1697)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f661]) ).

fof(f661,plain,
    ( spl0_86
  <=> c3_1(a1697) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f2816,plain,
    ( c3_1(a1697)
    | ~ spl0_55
    | spl0_87
    | spl0_88 ),
    inference(subsumption_resolution,[],[f2814,f673]) ).

fof(f673,plain,
    ( ~ c0_1(a1697)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f671,plain,
    ( spl0_88
  <=> c0_1(a1697) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f2814,plain,
    ( c0_1(a1697)
    | c3_1(a1697)
    | ~ spl0_55
    | spl0_87 ),
    inference(resolution,[],[f494,f668]) ).

fof(f668,plain,
    ( ~ c2_1(a1697)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f666,plain,
    ( spl0_87
  <=> c2_1(a1697) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f2794,plain,
    ( ~ spl0_54
    | spl0_98
    | spl0_99
    | ~ spl0_100 ),
    inference(avatar_contradiction_clause,[],[f2793]) ).

fof(f2793,plain,
    ( $false
    | ~ spl0_54
    | spl0_98
    | spl0_99
    | ~ spl0_100 ),
    inference(subsumption_resolution,[],[f2792,f737]) ).

fof(f737,plain,
    ( c1_1(a1680)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f735,plain,
    ( spl0_100
  <=> c1_1(a1680) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f2792,plain,
    ( ~ c1_1(a1680)
    | ~ spl0_54
    | spl0_98
    | spl0_99 ),
    inference(subsumption_resolution,[],[f2786,f732]) ).

fof(f2786,plain,
    ( c0_1(a1680)
    | ~ c1_1(a1680)
    | ~ spl0_54
    | spl0_98 ),
    inference(resolution,[],[f490,f727]) ).

fof(f2765,plain,
    ( spl0_131
    | ~ spl0_49
    | spl0_132
    | spl0_166 ),
    inference(avatar_split_clause,[],[f2764,f2139,f906,f462,f901]) ).

fof(f901,plain,
    ( spl0_131
  <=> c3_1(a1642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f462,plain,
    ( spl0_49
  <=> ! [X40] :
        ( c3_1(X40)
        | c1_1(X40)
        | c2_1(X40) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f906,plain,
    ( spl0_132
  <=> c2_1(a1642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f2139,plain,
    ( spl0_166
  <=> c1_1(a1642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f2764,plain,
    ( c3_1(a1642)
    | ~ spl0_49
    | spl0_132
    | spl0_166 ),
    inference(subsumption_resolution,[],[f2700,f2140]) ).

fof(f2140,plain,
    ( ~ c1_1(a1642)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f2139]) ).

fof(f2700,plain,
    ( c1_1(a1642)
    | c3_1(a1642)
    | ~ spl0_49
    | spl0_132 ),
    inference(resolution,[],[f463,f908]) ).

fof(f908,plain,
    ( ~ c2_1(a1642)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f463,plain,
    ( ! [X40] :
        ( c2_1(X40)
        | c1_1(X40)
        | c3_1(X40) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f2744,plain,
    ( ~ spl0_168
    | ~ spl0_40
    | spl0_104
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2743,f762,f757,f419,f2278]) ).

fof(f757,plain,
    ( spl0_104
  <=> c1_1(a1667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f2743,plain,
    ( ~ c3_1(a1667)
    | ~ spl0_40
    | spl0_104
    | ~ spl0_105 ),
    inference(subsumption_resolution,[],[f2725,f759]) ).

fof(f759,plain,
    ( ~ c1_1(a1667)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f2725,plain,
    ( c1_1(a1667)
    | ~ c3_1(a1667)
    | ~ spl0_40
    | ~ spl0_105 ),
    inference(resolution,[],[f420,f764]) ).

fof(f2738,plain,
    ( ~ spl0_40
    | spl0_152
    | ~ spl0_153
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f2737]) ).

fof(f2737,plain,
    ( $false
    | ~ spl0_40
    | spl0_152
    | ~ spl0_153
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f2736,f1020]) ).

fof(f2736,plain,
    ( ~ c3_1(a1634)
    | ~ spl0_40
    | spl0_152
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f2718,f1015]) ).

fof(f1015,plain,
    ( ~ c1_1(a1634)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f1013]) ).

fof(f2718,plain,
    ( c1_1(a1634)
    | ~ c3_1(a1634)
    | ~ spl0_40
    | ~ spl0_158 ),
    inference(resolution,[],[f420,f1625]) ).

fof(f1625,plain,
    ( c2_1(a1634)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1623]) ).

fof(f2715,plain,
    ( spl0_169
    | ~ spl0_49
    | spl0_149
    | spl0_150 ),
    inference(avatar_split_clause,[],[f2707,f1002,f997,f462,f2357]) ).

fof(f2707,plain,
    ( c3_1(a1636)
    | ~ spl0_49
    | spl0_149
    | spl0_150 ),
    inference(subsumption_resolution,[],[f2698,f1004]) ).

fof(f2698,plain,
    ( c1_1(a1636)
    | c3_1(a1636)
    | ~ spl0_49
    | spl0_149 ),
    inference(resolution,[],[f463,f999]) ).

fof(f2658,plain,
    ( spl0_95
    | ~ spl0_30
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f2657,f719,f714,f376,f709]) ).

fof(f709,plain,
    ( spl0_95
  <=> c3_1(a1682) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f714,plain,
    ( spl0_96
  <=> c2_1(a1682) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f719,plain,
    ( spl0_97
  <=> c1_1(a1682) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f2657,plain,
    ( c3_1(a1682)
    | ~ spl0_30
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(subsumption_resolution,[],[f2636,f716]) ).

fof(f716,plain,
    ( c2_1(a1682)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f2636,plain,
    ( c3_1(a1682)
    | ~ c2_1(a1682)
    | ~ spl0_30
    | ~ spl0_97 ),
    inference(resolution,[],[f377,f721]) ).

fof(f721,plain,
    ( c1_1(a1682)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f2626,plain,
    ( ~ spl0_169
    | ~ spl0_53
    | spl0_149
    | spl0_151 ),
    inference(avatar_split_clause,[],[f2625,f1007,f997,f483,f2357]) ).

fof(f2625,plain,
    ( ~ c3_1(a1636)
    | ~ spl0_53
    | spl0_149
    | spl0_151 ),
    inference(subsumption_resolution,[],[f2624,f1009]) ).

fof(f2624,plain,
    ( c0_1(a1636)
    | ~ c3_1(a1636)
    | ~ spl0_53
    | spl0_149 ),
    inference(resolution,[],[f999,f484]) ).

fof(f2620,plain,
    ( ~ spl0_41
    | spl0_104
    | ~ spl0_106
    | ~ spl0_168 ),
    inference(avatar_contradiction_clause,[],[f2619]) ).

fof(f2619,plain,
    ( $false
    | ~ spl0_41
    | spl0_104
    | ~ spl0_106
    | ~ spl0_168 ),
    inference(subsumption_resolution,[],[f2618,f769]) ).

fof(f2618,plain,
    ( ~ c0_1(a1667)
    | ~ spl0_41
    | spl0_104
    | ~ spl0_168 ),
    inference(subsumption_resolution,[],[f2617,f759]) ).

fof(f2617,plain,
    ( c1_1(a1667)
    | ~ c0_1(a1667)
    | ~ spl0_41
    | ~ spl0_168 ),
    inference(resolution,[],[f2279,f425]) ).

fof(f425,plain,
    ( ! [X21] :
        ( ~ c3_1(X21)
        | c1_1(X21)
        | ~ c0_1(X21) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f424,plain,
    ( spl0_41
  <=> ! [X21] :
        ( ~ c3_1(X21)
        | c1_1(X21)
        | ~ c0_1(X21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f2279,plain,
    ( c3_1(a1667)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f2278]) ).

fof(f2588,plain,
    ( ~ spl0_53
    | spl0_143
    | spl0_144
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f2587]) ).

fof(f2587,plain,
    ( $false
    | ~ spl0_53
    | spl0_143
    | spl0_144
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f2586,f977]) ).

fof(f2586,plain,
    ( ~ c3_1(a1638)
    | ~ spl0_53
    | spl0_143
    | spl0_144 ),
    inference(subsumption_resolution,[],[f2575,f972]) ).

fof(f972,plain,
    ( ~ c0_1(a1638)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f970]) ).

fof(f2575,plain,
    ( c0_1(a1638)
    | ~ c3_1(a1638)
    | ~ spl0_53
    | spl0_143 ),
    inference(resolution,[],[f484,f967]) ).

fof(f967,plain,
    ( ~ c2_1(a1638)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f965]) ).

fof(f2522,plain,
    ( ~ spl0_37
    | spl0_137
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f2521]) ).

fof(f2521,plain,
    ( $false
    | ~ spl0_37
    | spl0_137
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2520,f940]) ).

fof(f2520,plain,
    ( ~ c3_1(a1640)
    | ~ spl0_37
    | spl0_137
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2512,f935]) ).

fof(f935,plain,
    ( ~ c2_1(a1640)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f933]) ).

fof(f2512,plain,
    ( c2_1(a1640)
    | ~ c3_1(a1640)
    | ~ spl0_37
    | ~ spl0_139 ),
    inference(resolution,[],[f406,f945]) ).

fof(f945,plain,
    ( c0_1(a1640)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f943]) ).

fof(f943,plain,
    ( spl0_139
  <=> c0_1(a1640) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2481,plain,
    ( ~ spl0_166
    | ~ spl0_34
    | spl0_131
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2480,f911,f901,f393,f2139]) ).

fof(f393,plain,
    ( spl0_34
  <=> ! [X12] :
        ( ~ c1_1(X12)
        | c3_1(X12)
        | ~ c0_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f911,plain,
    ( spl0_133
  <=> c0_1(a1642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f2480,plain,
    ( ~ c1_1(a1642)
    | ~ spl0_34
    | spl0_131
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f2479,f903]) ).

fof(f903,plain,
    ( ~ c3_1(a1642)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f2479,plain,
    ( c3_1(a1642)
    | ~ c1_1(a1642)
    | ~ spl0_34
    | ~ spl0_133 ),
    inference(resolution,[],[f913,f394]) ).

fof(f394,plain,
    ( ! [X12] :
        ( ~ c0_1(X12)
        | c3_1(X12)
        | ~ c1_1(X12) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f913,plain,
    ( c0_1(a1642)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f2435,plain,
    ( ~ spl0_35
    | ~ spl0_45
    | spl0_143
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f2434]) ).

fof(f2434,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_45
    | spl0_143
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f2421,f967]) ).

fof(f2421,plain,
    ( c2_1(a1638)
    | ~ spl0_35
    | ~ spl0_45
    | ~ spl0_145 ),
    inference(resolution,[],[f2391,f977]) ).

fof(f2391,plain,
    ( ! [X13] :
        ( ~ c3_1(X13)
        | c2_1(X13) )
    | ~ spl0_35
    | ~ spl0_45 ),
    inference(subsumption_resolution,[],[f398,f443]) ).

fof(f398,plain,
    ( ! [X13] :
        ( c2_1(X13)
        | ~ c3_1(X13)
        | ~ c1_1(X13) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f397,plain,
    ( spl0_35
  <=> ! [X13] :
        ( ~ c3_1(X13)
        | c2_1(X13)
        | ~ c1_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f2401,plain,
    ( ~ spl0_70
    | ~ spl0_170
    | ~ spl0_28
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2395,f570,f366,f2398,f575]) ).

fof(f2395,plain,
    ( ~ c0_1(a1646)
    | ~ c1_1(a1646)
    | ~ spl0_28
    | ~ spl0_69 ),
    inference(resolution,[],[f572,f367]) ).

fof(f2363,plain,
    ( spl0_158
    | spl0_152
    | ~ spl0_45
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f2322,f1018,f442,f1013,f1623]) ).

fof(f2322,plain,
    ( c1_1(a1634)
    | c2_1(a1634)
    | ~ spl0_45
    | ~ spl0_153 ),
    inference(resolution,[],[f443,f1020]) ).

fof(f2353,plain,
    ( ~ spl0_48
    | spl0_74
    | ~ spl0_75
    | ~ spl0_76 ),
    inference(avatar_contradiction_clause,[],[f2352]) ).

fof(f2352,plain,
    ( $false
    | ~ spl0_48
    | spl0_74
    | ~ spl0_75
    | ~ spl0_76 ),
    inference(subsumption_resolution,[],[f2351,f604]) ).

fof(f2351,plain,
    ( ~ c3_1(a1737)
    | ~ spl0_48
    | spl0_74
    | ~ spl0_76 ),
    inference(subsumption_resolution,[],[f2344,f599]) ).

fof(f2344,plain,
    ( c0_1(a1737)
    | ~ c3_1(a1737)
    | ~ spl0_48
    | ~ spl0_76 ),
    inference(resolution,[],[f457,f609]) ).

fof(f2303,plain,
    ( ~ spl0_163
    | spl0_122
    | ~ spl0_34
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2230,f863,f393,f853,f2035]) ).

fof(f2230,plain,
    ( c3_1(a1648)
    | ~ c1_1(a1648)
    | ~ spl0_34
    | ~ spl0_124 ),
    inference(resolution,[],[f865,f394]) ).

fof(f865,plain,
    ( c0_1(a1648)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f863]) ).

fof(f2302,plain,
    ( spl0_122
    | ~ spl0_33
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2301,f863,f858,f389,f853]) ).

fof(f2301,plain,
    ( c3_1(a1648)
    | ~ spl0_33
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f2286,f865]) ).

fof(f2286,plain,
    ( c3_1(a1648)
    | ~ c0_1(a1648)
    | ~ spl0_33
    | ~ spl0_123 ),
    inference(resolution,[],[f390,f860]) ).

fof(f2298,plain,
    ( ~ spl0_33
    | spl0_110
    | ~ spl0_112
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f2297]) ).

fof(f2297,plain,
    ( $false
    | ~ spl0_33
    | spl0_110
    | ~ spl0_112
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f2296,f801]) ).

fof(f801,plain,
    ( c0_1(a1661)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f799,plain,
    ( spl0_112
  <=> c0_1(a1661) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f2296,plain,
    ( ~ c0_1(a1661)
    | ~ spl0_33
    | spl0_110
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f2287,f791]) ).

fof(f791,plain,
    ( ~ c3_1(a1661)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f789]) ).

fof(f789,plain,
    ( spl0_110
  <=> c3_1(a1661) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f2287,plain,
    ( c3_1(a1661)
    | ~ c0_1(a1661)
    | ~ spl0_33
    | ~ spl0_157 ),
    inference(resolution,[],[f390,f1459]) ).

fof(f1459,plain,
    ( c2_1(a1661)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1457]) ).

fof(f1457,plain,
    ( spl0_157
  <=> c2_1(a1661) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f2266,plain,
    ( ~ spl0_51
    | spl0_77
    | ~ spl0_78
    | ~ spl0_79 ),
    inference(avatar_contradiction_clause,[],[f2265]) ).

fof(f2265,plain,
    ( $false
    | ~ spl0_51
    | spl0_77
    | ~ spl0_78
    | ~ spl0_79 ),
    inference(subsumption_resolution,[],[f2264,f625]) ).

fof(f2264,plain,
    ( ~ c1_1(a1709)
    | ~ spl0_51
    | spl0_77
    | ~ spl0_78 ),
    inference(subsumption_resolution,[],[f2257,f615]) ).

fof(f615,plain,
    ( ~ c0_1(a1709)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f613,plain,
    ( spl0_77
  <=> c0_1(a1709) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f2257,plain,
    ( c0_1(a1709)
    | ~ c1_1(a1709)
    | ~ spl0_51
    | ~ spl0_78 ),
    inference(resolution,[],[f473,f620]) ).

fof(f2248,plain,
    ( spl0_157
    | ~ spl0_47
    | spl0_111
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f2247,f799,f794,f452,f1457]) ).

fof(f794,plain,
    ( spl0_111
  <=> c1_1(a1661) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f2247,plain,
    ( c2_1(a1661)
    | ~ spl0_47
    | spl0_111
    | ~ spl0_112 ),
    inference(subsumption_resolution,[],[f2240,f796]) ).

fof(f796,plain,
    ( ~ c1_1(a1661)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f794]) ).

fof(f2240,plain,
    ( c1_1(a1661)
    | c2_1(a1661)
    | ~ spl0_47
    | ~ spl0_112 ),
    inference(resolution,[],[f453,f801]) ).

fof(f2207,plain,
    ( spl0_165
    | ~ spl0_38
    | spl0_107
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2105,f783,f773,f409,f2134]) ).

fof(f409,plain,
    ( spl0_38
  <=> ! [X15] :
        ( ~ c0_1(X15)
        | c2_1(X15)
        | c3_1(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f783,plain,
    ( spl0_109
  <=> c0_1(a1664) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f2105,plain,
    ( c3_1(a1664)
    | ~ spl0_38
    | spl0_107
    | ~ spl0_109 ),
    inference(subsumption_resolution,[],[f2093,f775]) ).

fof(f2093,plain,
    ( c2_1(a1664)
    | c3_1(a1664)
    | ~ spl0_38
    | ~ spl0_109 ),
    inference(resolution,[],[f410,f785]) ).

fof(f785,plain,
    ( c0_1(a1664)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f783]) ).

fof(f410,plain,
    ( ! [X15] :
        ( ~ c0_1(X15)
        | c2_1(X15)
        | c3_1(X15) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f2168,plain,
    ( ~ spl0_117
    | spl0_116
    | ~ spl0_34
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f2075,f831,f393,f821,f826]) ).

fof(f826,plain,
    ( spl0_117
  <=> c1_1(a1653) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f821,plain,
    ( spl0_116
  <=> c3_1(a1653) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f831,plain,
    ( spl0_118
  <=> c0_1(a1653) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f2075,plain,
    ( c3_1(a1653)
    | ~ c1_1(a1653)
    | ~ spl0_34
    | ~ spl0_118 ),
    inference(resolution,[],[f394,f833]) ).

fof(f833,plain,
    ( c0_1(a1653)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f2144,plain,
    ( ~ spl0_106
    | spl0_104
    | ~ spl0_42
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2121,f762,f429,f757,f767]) ).

fof(f2121,plain,
    ( c1_1(a1667)
    | ~ c0_1(a1667)
    | ~ spl0_42
    | ~ spl0_105 ),
    inference(resolution,[],[f430,f764]) ).

fof(f2117,plain,
    ( spl0_110
    | spl0_157
    | ~ spl0_38
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f2092,f799,f409,f1457,f789]) ).

fof(f2092,plain,
    ( c2_1(a1661)
    | c3_1(a1661)
    | ~ spl0_38
    | ~ spl0_112 ),
    inference(resolution,[],[f410,f801]) ).

fof(f2038,plain,
    ( ~ spl0_163
    | ~ spl0_124
    | ~ spl0_28
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1817,f858,f366,f863,f2035]) ).

fof(f1817,plain,
    ( ~ c0_1(a1648)
    | ~ c1_1(a1648)
    | ~ spl0_28
    | ~ spl0_123 ),
    inference(resolution,[],[f367,f860]) ).

fof(f1985,plain,
    ( ~ spl0_26
    | ~ spl0_35
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f1984]) ).

fof(f1984,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_35
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f1972,f993]) ).

fof(f1972,plain,
    ( ~ c1_1(a1637)
    | ~ spl0_26
    | ~ spl0_35
    | ~ spl0_147 ),
    inference(resolution,[],[f1968,f988]) ).

fof(f988,plain,
    ( c3_1(a1637)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f986]) ).

fof(f986,plain,
    ( spl0_147
  <=> c3_1(a1637) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1968,plain,
    ( ! [X13] :
        ( ~ c3_1(X13)
        | ~ c1_1(X13) )
    | ~ spl0_26
    | ~ spl0_35 ),
    inference(subsumption_resolution,[],[f398,f358]) ).

fof(f358,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f357,plain,
    ( spl0_26
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1966,plain,
    ( ~ spl0_28
    | ~ spl0_51
    | ~ spl0_78
    | ~ spl0_79 ),
    inference(avatar_contradiction_clause,[],[f1965]) ).

fof(f1965,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_51
    | ~ spl0_78
    | ~ spl0_79 ),
    inference(subsumption_resolution,[],[f1959,f625]) ).

fof(f1959,plain,
    ( ~ c1_1(a1709)
    | ~ spl0_28
    | ~ spl0_51
    | ~ spl0_78 ),
    inference(resolution,[],[f1951,f620]) ).

fof(f1951,plain,
    ( ! [X49] :
        ( ~ c2_1(X49)
        | ~ c1_1(X49) )
    | ~ spl0_28
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f473,f367]) ).

fof(f1964,plain,
    ( ~ spl0_28
    | ~ spl0_51
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(avatar_contradiction_clause,[],[f1963]) ).

fof(f1963,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_51
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(subsumption_resolution,[],[f1957,f721]) ).

fof(f1957,plain,
    ( ~ c1_1(a1682)
    | ~ spl0_28
    | ~ spl0_51
    | ~ spl0_96 ),
    inference(resolution,[],[f1951,f716]) ).

fof(f1935,plain,
    ( ~ spl0_50
    | spl0_77
    | ~ spl0_79
    | ~ spl0_160 ),
    inference(avatar_contradiction_clause,[],[f1934]) ).

fof(f1934,plain,
    ( $false
    | ~ spl0_50
    | spl0_77
    | ~ spl0_79
    | ~ spl0_160 ),
    inference(subsumption_resolution,[],[f1933,f625]) ).

fof(f1933,plain,
    ( ~ c1_1(a1709)
    | ~ spl0_50
    | spl0_77
    | ~ spl0_160 ),
    inference(subsumption_resolution,[],[f1923,f615]) ).

fof(f1923,plain,
    ( c0_1(a1709)
    | ~ c1_1(a1709)
    | ~ spl0_50
    | ~ spl0_160 ),
    inference(resolution,[],[f467,f1683]) ).

fof(f1683,plain,
    ( c3_1(a1709)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1682]) ).

fof(f1928,plain,
    ( ~ spl0_50
    | spl0_146
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f1927]) ).

fof(f1927,plain,
    ( $false
    | ~ spl0_50
    | spl0_146
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f1926,f993]) ).

fof(f1926,plain,
    ( ~ c1_1(a1637)
    | ~ spl0_50
    | spl0_146
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f1917,f983]) ).

fof(f1917,plain,
    ( c0_1(a1637)
    | ~ c1_1(a1637)
    | ~ spl0_50
    | ~ spl0_147 ),
    inference(resolution,[],[f467,f988]) ).

fof(f1915,plain,
    ( spl0_159
    | ~ spl0_47
    | spl0_137
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1914,f943,f933,f452,f1673]) ).

fof(f1914,plain,
    ( c1_1(a1640)
    | ~ spl0_47
    | spl0_137
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1904,f935]) ).

fof(f1904,plain,
    ( c1_1(a1640)
    | c2_1(a1640)
    | ~ spl0_47
    | ~ spl0_139 ),
    inference(resolution,[],[f453,f945]) ).

fof(f1898,plain,
    ( spl0_159
    | ~ spl0_41
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1897,f943,f938,f424,f1673]) ).

fof(f1897,plain,
    ( c1_1(a1640)
    | ~ spl0_41
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1891,f945]) ).

fof(f1891,plain,
    ( c1_1(a1640)
    | ~ c0_1(a1640)
    | ~ spl0_41
    | ~ spl0_138 ),
    inference(resolution,[],[f425,f940]) ).

fof(f1882,plain,
    ( ~ spl0_38
    | spl0_131
    | spl0_132
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f1881]) ).

fof(f1881,plain,
    ( $false
    | ~ spl0_38
    | spl0_131
    | spl0_132
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1880,f903]) ).

fof(f1880,plain,
    ( c3_1(a1642)
    | ~ spl0_38
    | spl0_132
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1869,f908]) ).

fof(f1869,plain,
    ( c2_1(a1642)
    | c3_1(a1642)
    | ~ spl0_38
    | ~ spl0_133 ),
    inference(resolution,[],[f410,f913]) ).

fof(f1847,plain,
    ( ~ spl0_32
    | ~ spl0_65
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(avatar_contradiction_clause,[],[f1846]) ).

fof(f1846,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_65
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(subsumption_resolution,[],[f1845,f556]) ).

fof(f556,plain,
    ( c1_1(a1647)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f554,plain,
    ( spl0_66
  <=> c1_1(a1647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1845,plain,
    ( ~ c1_1(a1647)
    | ~ spl0_32
    | ~ spl0_65
    | ~ spl0_67 ),
    inference(subsumption_resolution,[],[f1838,f561]) ).

fof(f1838,plain,
    ( ~ c0_1(a1647)
    | ~ c1_1(a1647)
    | ~ spl0_32
    | ~ spl0_65 ),
    inference(resolution,[],[f385,f551]) ).

fof(f1844,plain,
    ( ~ spl0_159
    | ~ spl0_32
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1843,f943,f938,f384,f1673]) ).

fof(f1843,plain,
    ( ~ c1_1(a1640)
    | ~ spl0_32
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1833,f945]) ).

fof(f1833,plain,
    ( ~ c0_1(a1640)
    | ~ c1_1(a1640)
    | ~ spl0_32
    | ~ spl0_138 ),
    inference(resolution,[],[f385,f940]) ).

fof(f1789,plain,
    ( ~ spl0_52
    | spl0_119
    | spl0_120
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f1788]) ).

fof(f1788,plain,
    ( $false
    | ~ spl0_52
    | spl0_119
    | spl0_120
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f1787,f839]) ).

fof(f839,plain,
    ( ~ c3_1(a1650)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f837,plain,
    ( spl0_119
  <=> c3_1(a1650) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1787,plain,
    ( c3_1(a1650)
    | ~ spl0_52
    | spl0_120
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f1779,f844]) ).

fof(f1779,plain,
    ( c0_1(a1650)
    | c3_1(a1650)
    | ~ spl0_52
    | ~ spl0_121 ),
    inference(resolution,[],[f479,f849]) ).

fof(f1736,plain,
    ( ~ spl0_130
    | ~ spl0_34
    | ~ spl0_55
    | spl0_128
    | spl0_129 ),
    inference(avatar_split_clause,[],[f1733,f890,f885,f493,f393,f895]) ).

fof(f895,plain,
    ( spl0_130
  <=> c1_1(a1643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f885,plain,
    ( spl0_128
  <=> c3_1(a1643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f890,plain,
    ( spl0_129
  <=> c2_1(a1643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1733,plain,
    ( ~ c1_1(a1643)
    | ~ spl0_34
    | ~ spl0_55
    | spl0_128
    | spl0_129 ),
    inference(subsumption_resolution,[],[f1732,f887]) ).

fof(f887,plain,
    ( ~ c3_1(a1643)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f885]) ).

fof(f1732,plain,
    ( c3_1(a1643)
    | ~ c1_1(a1643)
    | ~ spl0_34
    | ~ spl0_55
    | spl0_128
    | spl0_129 ),
    inference(resolution,[],[f1724,f394]) ).

fof(f1724,plain,
    ( c0_1(a1643)
    | ~ spl0_55
    | spl0_128
    | spl0_129 ),
    inference(subsumption_resolution,[],[f1715,f887]) ).

fof(f1715,plain,
    ( c0_1(a1643)
    | c3_1(a1643)
    | ~ spl0_55
    | spl0_129 ),
    inference(resolution,[],[f494,f892]) ).

fof(f892,plain,
    ( ~ c2_1(a1643)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f890]) ).

fof(f1704,plain,
    ( ~ spl0_61
    | spl0_149
    | spl0_150
    | spl0_151 ),
    inference(avatar_contradiction_clause,[],[f1703]) ).

fof(f1703,plain,
    ( $false
    | ~ spl0_61
    | spl0_149
    | spl0_150
    | spl0_151 ),
    inference(subsumption_resolution,[],[f1702,f1004]) ).

fof(f1702,plain,
    ( c1_1(a1636)
    | ~ spl0_61
    | spl0_149
    | spl0_151 ),
    inference(subsumption_resolution,[],[f1689,f1009]) ).

fof(f1689,plain,
    ( c0_1(a1636)
    | c1_1(a1636)
    | ~ spl0_61
    | spl0_149 ),
    inference(resolution,[],[f527,f999]) ).

fof(f527,plain,
    ( ! [X99] :
        ( c2_1(X99)
        | c0_1(X99)
        | c1_1(X99) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f526,plain,
    ( spl0_61
  <=> ! [X99] :
        ( c2_1(X99)
        | c0_1(X99)
        | c1_1(X99) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1701,plain,
    ( spl0_56
    | ~ spl0_26
    | ~ spl0_30
    | ~ spl0_40
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f1686,f526,f419,f376,f357,f500]) ).

fof(f1686,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_26
    | ~ spl0_30
    | ~ spl0_40
    | ~ spl0_61 ),
    inference(resolution,[],[f527,f1116]) ).

fof(f1116,plain,
    ( ! [X18] :
        ( ~ c2_1(X18)
        | ~ c3_1(X18) )
    | ~ spl0_26
    | ~ spl0_30
    | ~ spl0_40 ),
    inference(subsumption_resolution,[],[f420,f1033]) ).

fof(f1033,plain,
    ( ! [X5] :
        ( ~ c2_1(X5)
        | ~ c1_1(X5) )
    | ~ spl0_26
    | ~ spl0_30 ),
    inference(subsumption_resolution,[],[f377,f358]) ).

fof(f1671,plain,
    ( spl0_81
    | ~ spl0_56
    | spl0_80
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1670,f639,f629,f500,f634]) ).

fof(f634,plain,
    ( spl0_81
  <=> c0_1(a1701) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f629,plain,
    ( spl0_80
  <=> c1_1(a1701) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f639,plain,
    ( spl0_82
  <=> c3_1(a1701) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1670,plain,
    ( c0_1(a1701)
    | ~ spl0_56
    | spl0_80
    | ~ spl0_82 ),
    inference(subsumption_resolution,[],[f1666,f631]) ).

fof(f631,plain,
    ( ~ c1_1(a1701)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f629]) ).

fof(f1666,plain,
    ( c0_1(a1701)
    | c1_1(a1701)
    | ~ spl0_56
    | ~ spl0_82 ),
    inference(resolution,[],[f641,f501]) ).

fof(f641,plain,
    ( c3_1(a1701)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f1581,plain,
    ( ~ spl0_56
    | ~ spl0_59
    | spl0_101
    | spl0_102 ),
    inference(avatar_contradiction_clause,[],[f1580]) ).

fof(f1580,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_59
    | spl0_101
    | spl0_102 ),
    inference(subsumption_resolution,[],[f1567,f748]) ).

fof(f1567,plain,
    ( c0_1(a1675)
    | ~ spl0_56
    | ~ spl0_59
    | spl0_101 ),
    inference(resolution,[],[f1560,f743]) ).

fof(f743,plain,
    ( ~ c1_1(a1675)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f741,plain,
    ( spl0_101
  <=> c1_1(a1675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1560,plain,
    ( ! [X95] :
        ( c1_1(X95)
        | c0_1(X95) )
    | ~ spl0_56
    | ~ spl0_59 ),
    inference(subsumption_resolution,[],[f519,f501]) ).

fof(f519,plain,
    ( ! [X95] :
        ( c1_1(X95)
        | c0_1(X95)
        | c3_1(X95) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f518,plain,
    ( spl0_59
  <=> ! [X95] :
        ( c3_1(X95)
        | c0_1(X95)
        | c1_1(X95) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1579,plain,
    ( ~ spl0_56
    | ~ spl0_59
    | spl0_126
    | spl0_127 ),
    inference(avatar_contradiction_clause,[],[f1578]) ).

fof(f1578,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_59
    | spl0_126
    | spl0_127 ),
    inference(subsumption_resolution,[],[f1564,f881]) ).

fof(f881,plain,
    ( ~ c0_1(a1644)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f879,plain,
    ( spl0_127
  <=> c0_1(a1644) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1564,plain,
    ( c0_1(a1644)
    | ~ spl0_56
    | ~ spl0_59
    | spl0_126 ),
    inference(resolution,[],[f1560,f876]) ).

fof(f876,plain,
    ( ~ c1_1(a1644)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f874,plain,
    ( spl0_126
  <=> c1_1(a1644) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1363,plain,
    ( spl0_108
    | ~ spl0_47
    | spl0_107
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1362,f783,f773,f452,f778]) ).

fof(f1362,plain,
    ( c1_1(a1664)
    | ~ spl0_47
    | spl0_107
    | ~ spl0_109 ),
    inference(subsumption_resolution,[],[f1349,f775]) ).

fof(f1349,plain,
    ( c1_1(a1664)
    | c2_1(a1664)
    | ~ spl0_47
    | ~ spl0_109 ),
    inference(resolution,[],[f453,f785]) ).

fof(f1209,plain,
    ( ~ spl0_154
    | ~ spl0_41
    | spl0_152
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1208,f1018,f1013,f424,f1023]) ).

fof(f1208,plain,
    ( ~ c0_1(a1634)
    | ~ spl0_41
    | spl0_152
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f1205,f1015]) ).

fof(f1205,plain,
    ( c1_1(a1634)
    | ~ c0_1(a1634)
    | ~ spl0_41
    | ~ spl0_153 ),
    inference(resolution,[],[f1020,f425]) ).

fof(f1114,plain,
    ( ~ spl0_70
    | ~ spl0_26
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1113,f570,f565,f357,f575]) ).

fof(f1113,plain,
    ( ~ c1_1(a1646)
    | ~ spl0_26
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(subsumption_resolution,[],[f1111,f567]) ).

fof(f1111,plain,
    ( ~ c1_1(a1646)
    | ~ c3_1(a1646)
    | ~ spl0_26
    | ~ spl0_69 ),
    inference(resolution,[],[f572,f358]) ).

fof(f1027,plain,
    ( ~ spl0_11
    | spl0_25 ),
    inference(avatar_split_clause,[],[f7,f353,f287]) ).

fof(f287,plain,
    ( spl0_11
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f353,plain,
    ( spl0_25
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f7,plain,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp1
      | hskp17
      | hskp11 )
    & ( hskp6
      | hskp21
      | hskp19 )
    & ( hskp1
      | hskp17
      | hskp25 )
    & ( hskp9
      | hskp6
      | hskp7 )
    & ( hskp1
      | hskp19
      | hskp15 )
    & ( hskp1
      | hskp26
      | hskp0 )
    & ( hskp8
      | hskp7
      | hskp0 )
    & ( hskp1
      | hskp5
      | hskp0 )
    & ( hskp11
      | hskp18
      | hskp10 )
    & ( hskp4
      | hskp6
      | hskp30 )
    & ( hskp24
      | hskp25
      | hskp12 )
    & ( hskp24
      | hskp5
      | hskp12 )
    & ( hskp14
      | hskp20 )
    & ( hskp6
      | hskp10
      | hskp29 )
    & ( hskp30
      | hskp20
      | hskp27 )
    & ( hskp25
      | hskp28
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp7
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp14
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp20
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp29
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp4
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c1_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c1_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp8
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X11] :
          ( ~ c2_1(X11)
          | ~ c1_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp21
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c1_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp20
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp13
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp7
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp27
      | ! [X17] :
          ( ~ c0_1(X17)
          | c3_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp28
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c1_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp29
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp29
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c0_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c2_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c0_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c2_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp2
      | ! [X27] :
          ( ~ c2_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp16
      | ! [X28] :
          ( ~ c3_1(X28)
          | c2_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( ! [X29] :
          ( ~ c3_1(X29)
          | ~ c1_1(X29)
          | ~ c0_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c2_1(X30)
          | ~ c1_1(X30)
          | ~ c0_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c3_1(X31)
          | c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c3_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp16
      | ! [X34] :
          ( ~ c0_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp0
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c2_1(X35)
          | c0_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X36] :
          ( ~ c1_1(X36)
          | ~ c0_1(X36)
          | c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c3_1(X37)
          | ~ c2_1(X37)
          | c0_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X38] :
          ( ~ c3_1(X38)
          | ~ c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c2_1(X39)
          | c0_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X40] :
          ( c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( ~ c2_1(X42)
          | ~ c1_1(X42)
          | c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c0_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c1_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X45] :
          ( ~ c2_1(X45)
          | c3_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c1_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X47] :
          ( ~ c0_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp13
      | ! [X49] :
          ( ~ c2_1(X49)
          | ~ c1_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp29
      | ! [X50] :
          ( ~ c2_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c1_1(X51)
          | c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c2_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( ! [X53] :
          ( ~ c1_1(X53)
          | ~ c0_1(X53)
          | c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c0_1(X54)
          | c2_1(X54)
          | c1_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c1_1(X55)
          | c3_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X56] :
          ( c3_1(X56)
          | c2_1(X56)
          | c1_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c1_1(X57)
          | c3_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | c1_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c3_1(X59)
          | c2_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c0_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | c2_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c3_1(X63)
          | c2_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X64] :
          ( ~ c1_1(X64)
          | ~ c0_1(X64)
          | c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c1_1(X65)
          | c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp10
      | ! [X66] :
          ( c3_1(X66)
          | c2_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X67] :
          ( ~ c0_1(X67)
          | c2_1(X67)
          | c1_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( ~ c2_1(X69)
          | ~ c0_1(X69)
          | c3_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | ~ c1_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c3_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( ~ c3_1(X72)
          | ~ c2_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c3_1(X74)
          | c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp0
      | ! [X75] :
          ( ~ c3_1(X75)
          | c1_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X76] :
          ( ~ c3_1(X76)
          | ~ c2_1(X76)
          | ~ c1_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c1_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( ! [X78] :
          ( ~ c2_1(X78)
          | ~ c1_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c2_1(X79)
          | ~ c1_1(X79)
          | c3_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c3_1(X80)
          | c1_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( ! [X81] :
          ( ~ c3_1(X81)
          | ~ c2_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c2_1(X82)
          | ~ c0_1(X82)
          | c3_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c3_1(X83)
          | c1_1(X83)
          | c0_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 ) )
    & ( hskp8
      | hskp7
      | ! [X86] :
          ( ~ c2_1(X86)
          | c1_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp5
      | ! [X87] :
          ( ~ c2_1(X87)
          | c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X88] :
          ( ~ c3_1(X88)
          | ~ c2_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c1_1(X89)
          | ~ c0_1(X89)
          | c3_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c2_1(X90)
          | c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( ~ c3_1(X91)
          | ~ c2_1(X91)
          | c1_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c0_1(X92)
          | c2_1(X92)
          | c1_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c2_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X94] :
          ( ~ c1_1(X94)
          | ~ c0_1(X94)
          | c2_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( ! [X96] :
          ( ~ c2_1(X96)
          | ~ c1_1(X96)
          | c3_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c3_1(X97)
          | ~ c0_1(X97)
          | c1_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c3_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp2
      | ! [X99] :
          ( c2_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp27
      | ! [X100] :
          ( c2_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X101] :
          ( ~ c0_1(X101)
          | c3_1(X101)
          | c2_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( c2_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( ! [X103] :
          ( ~ c1_1(X103)
          | c2_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c3_1(X104)
          | c2_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( c2_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a1712)
        & c2_1(a1712)
        & c0_1(a1712)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a1647)
        & c1_1(a1647)
        & c0_1(a1647)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a1646)
        & c2_1(a1646)
        & c1_1(a1646)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c2_1(a1635)
        & c1_1(a1635)
        & c0_1(a1635)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c0_1(a1737)
        & c3_1(a1737)
        & c2_1(a1737)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a1709)
        & c2_1(a1709)
        & c1_1(a1709)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a1701)
        & ~ c0_1(a1701)
        & c3_1(a1701)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a1699)
        & ~ c2_1(a1699)
        & ~ c1_1(a1699)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a1697)
        & ~ c2_1(a1697)
        & ~ c0_1(a1697)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a1691)
        & c3_1(a1691)
        & c2_1(a1691)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a1689)
        & c1_1(a1689)
        & c0_1(a1689)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a1682)
        & c2_1(a1682)
        & c1_1(a1682)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a1680)
        & ~ c0_1(a1680)
        & c1_1(a1680)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a1675)
        & ~ c0_1(a1675)
        & c2_1(a1675)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a1667)
        & c2_1(a1667)
        & c0_1(a1667)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a1664)
        & ~ c1_1(a1664)
        & c0_1(a1664)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a1661)
        & ~ c1_1(a1661)
        & c0_1(a1661)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a1658)
        & c3_1(a1658)
        & c1_1(a1658)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a1653)
        & c1_1(a1653)
        & c0_1(a1653)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a1650)
        & ~ c0_1(a1650)
        & c1_1(a1650)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a1648)
        & c2_1(a1648)
        & c0_1(a1648)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a1644)
        & ~ c1_1(a1644)
        & ~ c0_1(a1644)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a1643)
        & ~ c2_1(a1643)
        & c1_1(a1643)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a1642)
        & ~ c2_1(a1642)
        & c0_1(a1642)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a1641)
        & ~ c0_1(a1641)
        & c2_1(a1641)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a1640)
        & c3_1(a1640)
        & c0_1(a1640)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a1639)
        & ~ c1_1(a1639)
        & c3_1(a1639)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a1638)
        & ~ c0_1(a1638)
        & c3_1(a1638)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c0_1(a1637)
        & c3_1(a1637)
        & c1_1(a1637)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a1636)
        & ~ c1_1(a1636)
        & ~ c0_1(a1636)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a1634)
        & c3_1(a1634)
        & c0_1(a1634)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp1
      | hskp17
      | hskp11 )
    & ( hskp6
      | hskp21
      | hskp19 )
    & ( hskp1
      | hskp17
      | hskp25 )
    & ( hskp9
      | hskp6
      | hskp7 )
    & ( hskp1
      | hskp19
      | hskp15 )
    & ( hskp1
      | hskp26
      | hskp0 )
    & ( hskp8
      | hskp7
      | hskp0 )
    & ( hskp1
      | hskp5
      | hskp0 )
    & ( hskp11
      | hskp18
      | hskp10 )
    & ( hskp4
      | hskp6
      | hskp30 )
    & ( hskp24
      | hskp25
      | hskp12 )
    & ( hskp24
      | hskp5
      | hskp12 )
    & ( hskp14
      | hskp20 )
    & ( hskp6
      | hskp10
      | hskp29 )
    & ( hskp30
      | hskp20
      | hskp27 )
    & ( hskp25
      | hskp28
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp7
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp14
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp20
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp29
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp4
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c1_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c1_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp8
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X11] :
          ( ~ c2_1(X11)
          | ~ c1_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp21
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c1_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp20
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp13
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp7
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp27
      | ! [X17] :
          ( ~ c0_1(X17)
          | c3_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp28
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c1_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp29
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp29
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c0_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c2_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c0_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c2_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp2
      | ! [X27] :
          ( ~ c2_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp16
      | ! [X28] :
          ( ~ c3_1(X28)
          | c2_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( ! [X29] :
          ( ~ c3_1(X29)
          | ~ c1_1(X29)
          | ~ c0_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c2_1(X30)
          | ~ c1_1(X30)
          | ~ c0_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c3_1(X31)
          | c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c3_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp16
      | ! [X34] :
          ( ~ c0_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp0
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c2_1(X35)
          | c0_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X36] :
          ( ~ c1_1(X36)
          | ~ c0_1(X36)
          | c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c3_1(X37)
          | ~ c2_1(X37)
          | c0_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X38] :
          ( ~ c3_1(X38)
          | ~ c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c2_1(X39)
          | c0_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X40] :
          ( c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( ~ c2_1(X42)
          | ~ c1_1(X42)
          | c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c0_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c1_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X45] :
          ( ~ c2_1(X45)
          | c3_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c1_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X47] :
          ( ~ c0_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp13
      | ! [X49] :
          ( ~ c2_1(X49)
          | ~ c1_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp29
      | ! [X50] :
          ( ~ c2_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c1_1(X51)
          | c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c2_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( ! [X53] :
          ( ~ c1_1(X53)
          | ~ c0_1(X53)
          | c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c0_1(X54)
          | c2_1(X54)
          | c1_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c1_1(X55)
          | c3_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X56] :
          ( c3_1(X56)
          | c2_1(X56)
          | c1_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c1_1(X57)
          | c3_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | c1_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c3_1(X59)
          | c2_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c0_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | c2_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c3_1(X63)
          | c2_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X64] :
          ( ~ c1_1(X64)
          | ~ c0_1(X64)
          | c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c1_1(X65)
          | c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp10
      | ! [X66] :
          ( c3_1(X66)
          | c2_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X67] :
          ( ~ c0_1(X67)
          | c2_1(X67)
          | c1_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( ~ c2_1(X69)
          | ~ c0_1(X69)
          | c3_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | ~ c1_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c3_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( ~ c3_1(X72)
          | ~ c2_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c3_1(X74)
          | c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp0
      | ! [X75] :
          ( ~ c3_1(X75)
          | c1_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X76] :
          ( ~ c3_1(X76)
          | ~ c2_1(X76)
          | ~ c1_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c1_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( ! [X78] :
          ( ~ c2_1(X78)
          | ~ c1_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c2_1(X79)
          | ~ c1_1(X79)
          | c3_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c3_1(X80)
          | c1_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( ! [X81] :
          ( ~ c3_1(X81)
          | ~ c2_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c2_1(X82)
          | ~ c0_1(X82)
          | c3_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c3_1(X83)
          | c1_1(X83)
          | c0_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 ) )
    & ( hskp8
      | hskp7
      | ! [X86] :
          ( ~ c2_1(X86)
          | c1_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp5
      | ! [X87] :
          ( ~ c2_1(X87)
          | c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X88] :
          ( ~ c3_1(X88)
          | ~ c2_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c1_1(X89)
          | ~ c0_1(X89)
          | c3_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c2_1(X90)
          | c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( ~ c3_1(X91)
          | ~ c2_1(X91)
          | c1_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c0_1(X92)
          | c2_1(X92)
          | c1_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c2_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X94] :
          ( ~ c1_1(X94)
          | ~ c0_1(X94)
          | c2_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( ! [X96] :
          ( ~ c2_1(X96)
          | ~ c1_1(X96)
          | c3_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c3_1(X97)
          | ~ c0_1(X97)
          | c1_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c3_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp2
      | ! [X99] :
          ( c2_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp27
      | ! [X100] :
          ( c2_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X101] :
          ( ~ c0_1(X101)
          | c3_1(X101)
          | c2_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( c2_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( ! [X103] :
          ( ~ c1_1(X103)
          | c2_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c3_1(X104)
          | c2_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( c2_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a1712)
        & c2_1(a1712)
        & c0_1(a1712)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a1647)
        & c1_1(a1647)
        & c0_1(a1647)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a1646)
        & c2_1(a1646)
        & c1_1(a1646)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c2_1(a1635)
        & c1_1(a1635)
        & c0_1(a1635)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c0_1(a1737)
        & c3_1(a1737)
        & c2_1(a1737)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a1709)
        & c2_1(a1709)
        & c1_1(a1709)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a1701)
        & ~ c0_1(a1701)
        & c3_1(a1701)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a1699)
        & ~ c2_1(a1699)
        & ~ c1_1(a1699)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a1697)
        & ~ c2_1(a1697)
        & ~ c0_1(a1697)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a1691)
        & c3_1(a1691)
        & c2_1(a1691)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a1689)
        & c1_1(a1689)
        & c0_1(a1689)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a1682)
        & c2_1(a1682)
        & c1_1(a1682)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a1680)
        & ~ c0_1(a1680)
        & c1_1(a1680)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a1675)
        & ~ c0_1(a1675)
        & c2_1(a1675)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a1667)
        & c2_1(a1667)
        & c0_1(a1667)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a1664)
        & ~ c1_1(a1664)
        & c0_1(a1664)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a1661)
        & ~ c1_1(a1661)
        & c0_1(a1661)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a1658)
        & c3_1(a1658)
        & c1_1(a1658)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a1653)
        & c1_1(a1653)
        & c0_1(a1653)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a1650)
        & ~ c0_1(a1650)
        & c1_1(a1650)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a1648)
        & c2_1(a1648)
        & c0_1(a1648)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a1644)
        & ~ c1_1(a1644)
        & ~ c0_1(a1644)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a1643)
        & ~ c2_1(a1643)
        & c1_1(a1643)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a1642)
        & ~ c2_1(a1642)
        & c0_1(a1642)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a1641)
        & ~ c0_1(a1641)
        & c2_1(a1641)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a1640)
        & c3_1(a1640)
        & c0_1(a1640)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a1639)
        & ~ c1_1(a1639)
        & c3_1(a1639)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a1638)
        & ~ c0_1(a1638)
        & c3_1(a1638)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c0_1(a1637)
        & c3_1(a1637)
        & c1_1(a1637)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a1636)
        & ~ c1_1(a1636)
        & ~ c0_1(a1636)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a1634)
        & c3_1(a1634)
        & c0_1(a1634)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp1
      | hskp17
      | hskp11 )
    & ( hskp6
      | hskp21
      | hskp19 )
    & ( hskp1
      | hskp17
      | hskp25 )
    & ( hskp9
      | hskp6
      | hskp7 )
    & ( hskp1
      | hskp19
      | hskp15 )
    & ( hskp1
      | hskp26
      | hskp0 )
    & ( hskp8
      | hskp7
      | hskp0 )
    & ( hskp1
      | hskp5
      | hskp0 )
    & ( hskp11
      | hskp18
      | hskp10 )
    & ( hskp4
      | hskp6
      | hskp30 )
    & ( hskp24
      | hskp25
      | hskp12 )
    & ( hskp24
      | hskp5
      | hskp12 )
    & ( hskp14
      | hskp20 )
    & ( hskp6
      | hskp10
      | hskp29 )
    & ( hskp30
      | hskp20
      | hskp27 )
    & ( hskp25
      | hskp28
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp11
      | hskp7
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c1_1(X1) ) ) )
    & ( hskp22
      | hskp14
      | ! [X2] :
          ( ndr1_0
         => ( ~ c2_1(X2)
            | ~ c1_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp21
      | hskp20
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp24
      | hskp29
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | ~ c0_1(X4) ) ) )
    & ( hskp23
      | hskp4
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c1_1(X5)
            | c3_1(X5) ) ) )
    & ( hskp22
      | ! [X6] :
          ( ndr1_0
         => ( ~ c3_1(X6)
            | ~ c1_1(X6)
            | ~ c0_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c1_1(X7)
            | c3_1(X7) ) ) )
    & ( hskp9
      | ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | ~ c1_1(X8)
            | ~ c0_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | ~ c1_1(X9)
            | c3_1(X9) ) ) )
    & ( hskp1
      | hskp8
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c0_1(X10)
            | c3_1(X10) ) ) )
    & ( hskp28
      | ! [X11] :
          ( ndr1_0
         => ( ~ c2_1(X11)
            | ~ c1_1(X11)
            | ~ c0_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c1_1(X12)
            | ~ c0_1(X12)
            | c3_1(X12) ) ) )
    & ( hskp3
      | hskp21
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | ~ c1_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp28
      | hskp20
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | ~ c0_1(X14)
            | c2_1(X14) ) ) )
    & ( hskp9
      | hskp13
      | ! [X15] :
          ( ndr1_0
         => ( ~ c0_1(X15)
            | c3_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp19
      | hskp7
      | ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | c3_1(X16)
            | c2_1(X16) ) ) )
    & ( hskp6
      | hskp27
      | ! [X17] :
          ( ndr1_0
         => ( ~ c0_1(X17)
            | c3_1(X17)
            | c2_1(X17) ) ) )
    & ( hskp19
      | hskp28
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c2_1(X18)
            | c1_1(X18) ) ) )
    & ( hskp18
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | ~ c1_1(X19)
            | c3_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c2_1(X20)
            | c1_1(X20) ) ) )
    & ( hskp9
      | hskp29
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c0_1(X21)
            | c1_1(X21) ) ) )
    & ( hskp12
      | hskp29
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c0_1(X22)
            | c1_1(X22) ) ) )
    & ( hskp17
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c0_1(X23)
            | c2_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c2_1(X24)
            | ~ c0_1(X24)
            | c1_1(X24) ) ) )
    & ( hskp2
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | ~ c0_1(X25)
            | c2_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | ~ c0_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp9
      | hskp2
      | ! [X27] :
          ( ndr1_0
         => ( ~ c2_1(X27)
            | c3_1(X27)
            | c1_1(X27) ) ) )
    & ( hskp10
      | hskp16
      | ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | c2_1(X28)
            | c1_1(X28) ) ) )
    & ( ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | ~ c1_1(X29)
            | ~ c0_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | ~ c1_1(X30)
            | ~ c0_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c3_1(X31)
            | c2_1(X31)
            | c1_1(X31) ) ) )
    & ( hskp14
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | ~ c2_1(X32)
            | c1_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c3_1(X33)
            | c2_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp0
      | hskp16
      | ! [X34] :
          ( ndr1_0
         => ( ~ c0_1(X34)
            | c2_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp28
      | hskp0
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c2_1(X35)
            | c0_1(X35) ) ) )
    & ( hskp15
      | ! [X36] :
          ( ndr1_0
         => ( ~ c1_1(X36)
            | ~ c0_1(X36)
            | c3_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | ~ c2_1(X37)
            | c0_1(X37) ) ) )
    & ( hskp5
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | ~ c2_1(X38)
            | c1_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | ~ c2_1(X39)
            | c0_1(X39) ) ) )
    & ( hskp5
      | ! [X40] :
          ( ndr1_0
         => ( c3_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c2_1(X41)
            | c0_1(X41) ) ) )
    & ( ! [X42] :
          ( ndr1_0
         => ( ~ c2_1(X42)
            | ~ c1_1(X42)
            | c3_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c0_1(X43)
            | c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c1_1(X44)
            | c0_1(X44) ) ) )
    & ( hskp14
      | ! [X45] :
          ( ndr1_0
         => ( ~ c2_1(X45)
            | c3_1(X45)
            | c1_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | ~ c1_1(X46)
            | c0_1(X46) ) ) )
    & ( hskp11
      | ! [X47] :
          ( ndr1_0
         => ( ~ c0_1(X47)
            | c2_1(X47)
            | c1_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c1_1(X48)
            | c0_1(X48) ) ) )
    & ( hskp11
      | hskp13
      | ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | ~ c1_1(X49)
            | c0_1(X49) ) ) )
    & ( hskp5
      | hskp29
      | ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | ~ c1_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp7
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c1_1(X51)
            | c2_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c2_1(X52)
            | ~ c1_1(X52)
            | c0_1(X52) ) ) )
    & ( ! [X53] :
          ( ndr1_0
         => ( ~ c1_1(X53)
            | ~ c0_1(X53)
            | c3_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c0_1(X54)
            | c2_1(X54)
            | c1_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c1_1(X55)
            | c3_1(X55)
            | c0_1(X55) ) ) )
    & ( hskp3
      | ! [X56] :
          ( ndr1_0
         => ( c3_1(X56)
            | c2_1(X56)
            | c1_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c1_1(X57)
            | c3_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp12
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c2_1(X58)
            | c1_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | c2_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp29
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | ~ c0_1(X60)
            | c1_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | c2_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp11
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c1_1(X62)
            | c0_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | c2_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp11
      | ! [X64] :
          ( ndr1_0
         => ( ~ c1_1(X64)
            | ~ c0_1(X64)
            | c3_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c1_1(X65)
            | c2_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp1
      | hskp10
      | ! [X66] :
          ( ndr1_0
         => ( c3_1(X66)
            | c2_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp29
      | ! [X67] :
          ( ndr1_0
         => ( ~ c0_1(X67)
            | c2_1(X67)
            | c1_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( c3_1(X68)
            | c2_1(X68)
            | c0_1(X68) ) ) )
    & ( ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | ~ c0_1(X69)
            | c3_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | ~ c1_1(X70)
            | c0_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( c3_1(X71)
            | c2_1(X71)
            | c0_1(X71) ) ) )
    & ( ! [X72] :
          ( ndr1_0
         => ( ~ c3_1(X72)
            | ~ c2_1(X72)
            | c0_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | c2_1(X73)
            | c0_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c3_1(X74)
            | c2_1(X74)
            | c0_1(X74) ) ) )
    & ( hskp28
      | hskp0
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | c1_1(X75)
            | c0_1(X75) ) ) )
    & ( hskp9
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | ~ c2_1(X76)
            | ~ c1_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | c1_1(X77)
            | c0_1(X77) ) ) )
    & ( ! [X78] :
          ( ndr1_0
         => ( ~ c2_1(X78)
            | ~ c1_1(X78)
            | ~ c0_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c2_1(X79)
            | ~ c1_1(X79)
            | c3_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | c1_1(X80)
            | c0_1(X80) ) ) )
    & ( ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | ~ c2_1(X81)
            | ~ c0_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c2_1(X82)
            | ~ c0_1(X82)
            | c3_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | c1_1(X83)
            | c0_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) ) ) )
    & ( hskp8
      | hskp7
      | ! [X86] :
          ( ndr1_0
         => ( ~ c2_1(X86)
            | c1_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp6
      | hskp5
      | ! [X87] :
          ( ndr1_0
         => ( ~ c2_1(X87)
            | c1_1(X87)
            | c0_1(X87) ) ) )
    & ( ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | ~ c2_1(X88)
            | ~ c0_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c1_1(X89)
            | ~ c0_1(X89)
            | c3_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c2_1(X90)
            | c1_1(X90)
            | c0_1(X90) ) ) )
    & ( ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | ~ c2_1(X91)
            | c1_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( ~ c0_1(X92)
            | c2_1(X92)
            | c1_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c2_1(X93)
            | c1_1(X93)
            | c0_1(X93) ) ) )
    & ( hskp4
      | ! [X94] :
          ( ndr1_0
         => ( ~ c1_1(X94)
            | ~ c0_1(X94)
            | c2_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( c3_1(X95)
            | c1_1(X95)
            | c0_1(X95) ) ) )
    & ( ! [X96] :
          ( ndr1_0
         => ( ~ c2_1(X96)
            | ~ c1_1(X96)
            | c3_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c3_1(X97)
            | ~ c0_1(X97)
            | c1_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( c3_1(X98)
            | c1_1(X98)
            | c0_1(X98) ) ) )
    & ( hskp3
      | hskp2
      | ! [X99] :
          ( ndr1_0
         => ( c2_1(X99)
            | c1_1(X99)
            | c0_1(X99) ) ) )
    & ( hskp1
      | hskp27
      | ! [X100] :
          ( ndr1_0
         => ( c2_1(X100)
            | c1_1(X100)
            | c0_1(X100) ) ) )
    & ( hskp0
      | ! [X101] :
          ( ndr1_0
         => ( ~ c0_1(X101)
            | c3_1(X101)
            | c2_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( c2_1(X102)
            | c1_1(X102)
            | c0_1(X102) ) ) )
    & ( ! [X103] :
          ( ndr1_0
         => ( ~ c1_1(X103)
            | c2_1(X103)
            | c0_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( c3_1(X104)
            | c2_1(X104)
            | c0_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( c2_1(X105)
            | c1_1(X105)
            | c0_1(X105) ) ) )
    & ( ( c3_1(a1712)
        & c2_1(a1712)
        & c0_1(a1712)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a1647)
        & c1_1(a1647)
        & c0_1(a1647)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a1646)
        & c2_1(a1646)
        & c1_1(a1646)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c2_1(a1635)
        & c1_1(a1635)
        & c0_1(a1635)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c0_1(a1737)
        & c3_1(a1737)
        & c2_1(a1737)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a1709)
        & c2_1(a1709)
        & c1_1(a1709)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a1701)
        & ~ c0_1(a1701)
        & c3_1(a1701)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a1699)
        & ~ c2_1(a1699)
        & ~ c1_1(a1699)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a1697)
        & ~ c2_1(a1697)
        & ~ c0_1(a1697)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a1691)
        & c3_1(a1691)
        & c2_1(a1691)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a1689)
        & c1_1(a1689)
        & c0_1(a1689)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a1682)
        & c2_1(a1682)
        & c1_1(a1682)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a1680)
        & ~ c0_1(a1680)
        & c1_1(a1680)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a1675)
        & ~ c0_1(a1675)
        & c2_1(a1675)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a1667)
        & c2_1(a1667)
        & c0_1(a1667)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a1664)
        & ~ c1_1(a1664)
        & c0_1(a1664)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a1661)
        & ~ c1_1(a1661)
        & c0_1(a1661)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a1658)
        & c3_1(a1658)
        & c1_1(a1658)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a1653)
        & c1_1(a1653)
        & c0_1(a1653)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a1650)
        & ~ c0_1(a1650)
        & c1_1(a1650)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a1648)
        & c2_1(a1648)
        & c0_1(a1648)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a1644)
        & ~ c1_1(a1644)
        & ~ c0_1(a1644)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a1643)
        & ~ c2_1(a1643)
        & c1_1(a1643)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a1642)
        & ~ c2_1(a1642)
        & c0_1(a1642)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a1641)
        & ~ c0_1(a1641)
        & c2_1(a1641)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a1640)
        & c3_1(a1640)
        & c0_1(a1640)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a1639)
        & ~ c1_1(a1639)
        & c3_1(a1639)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a1638)
        & ~ c0_1(a1638)
        & c3_1(a1638)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c0_1(a1637)
        & c3_1(a1637)
        & c1_1(a1637)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a1636)
        & ~ c1_1(a1636)
        & ~ c0_1(a1636)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a1634)
        & c3_1(a1634)
        & c0_1(a1634)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp1
          | hskp17
          | hskp11 )
        & ( hskp6
          | hskp21
          | hskp19 )
        & ( hskp1
          | hskp17
          | hskp25 )
        & ( hskp9
          | hskp6
          | hskp7 )
        & ( hskp1
          | hskp19
          | hskp15 )
        & ( hskp1
          | hskp26
          | hskp0 )
        & ( hskp8
          | hskp7
          | hskp0 )
        & ( hskp1
          | hskp5
          | hskp0 )
        & ( hskp11
          | hskp18
          | hskp10 )
        & ( hskp4
          | hskp6
          | hskp30 )
        & ( hskp24
          | hskp25
          | hskp12 )
        & ( hskp24
          | hskp5
          | hskp12 )
        & ( hskp14
          | hskp20 )
        & ( hskp6
          | hskp10
          | hskp29 )
        & ( hskp30
          | hskp20
          | hskp27 )
        & ( hskp25
          | hskp28
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp11
          | hskp7
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c1_1(X1) ) ) )
        & ( hskp22
          | hskp14
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp21
          | hskp20
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp24
          | hskp29
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | ~ c0_1(X4) ) ) )
        & ( hskp23
          | hskp4
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c1_1(X5)
                | c3_1(X5) ) ) )
        & ( hskp22
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c1_1(X6)
                | ~ c0_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c1_1(X7)
                | c3_1(X7) ) ) )
        & ( hskp9
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | ~ c1_1(X8)
                | ~ c0_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c1_1(X9)
                | c3_1(X9) ) ) )
        & ( hskp1
          | hskp8
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c0_1(X10)
                | c3_1(X10) ) ) )
        & ( hskp28
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | ~ c1_1(X11)
                | ~ c0_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | ~ c0_1(X12)
                | c3_1(X12) ) ) )
        & ( hskp3
          | hskp21
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c1_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp28
          | hskp20
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c0_1(X14)
                | c2_1(X14) ) ) )
        & ( hskp9
          | hskp13
          | ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | c3_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp19
          | hskp7
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) ) )
        & ( hskp6
          | hskp27
          | ! [X17] :
              ( ndr1_0
             => ( ~ c0_1(X17)
                | c3_1(X17)
                | c2_1(X17) ) ) )
        & ( hskp19
          | hskp28
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c2_1(X18)
                | c1_1(X18) ) ) )
        & ( hskp18
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c1_1(X19)
                | c3_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c2_1(X20)
                | c1_1(X20) ) ) )
        & ( hskp9
          | hskp29
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c0_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp12
          | hskp29
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c0_1(X22)
                | c1_1(X22) ) ) )
        & ( hskp17
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c0_1(X23)
                | c2_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | ~ c0_1(X24)
                | c1_1(X24) ) ) )
        & ( hskp2
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c0_1(X25)
                | c2_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | ~ c0_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp9
          | hskp2
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | c3_1(X27)
                | c1_1(X27) ) ) )
        & ( hskp10
          | hskp16
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | c2_1(X28)
                | c1_1(X28) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c1_1(X29)
                | ~ c0_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | ~ c1_1(X30)
                | ~ c0_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c2_1(X31)
                | c1_1(X31) ) ) )
        & ( hskp14
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c2_1(X32)
                | c1_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c2_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp0
          | hskp16
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c2_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp28
          | hskp0
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c2_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp15
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | ~ c0_1(X36)
                | c3_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | ~ c2_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp5
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c2_1(X38)
                | c1_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp5
          | ! [X40] :
              ( ndr1_0
             => ( c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | c0_1(X41) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c1_1(X42)
                | c3_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c0_1(X43)
                | c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c1_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp14
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | c3_1(X45)
                | c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c1_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp11
          | ! [X47] :
              ( ndr1_0
             => ( ~ c0_1(X47)
                | c2_1(X47)
                | c1_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c1_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp11
          | hskp13
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c1_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp5
          | hskp29
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp7
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c1_1(X51)
                | c2_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | ~ c1_1(X52)
                | c0_1(X52) ) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | ~ c0_1(X53)
                | c3_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c0_1(X54)
                | c2_1(X54)
                | c1_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c1_1(X55)
                | c3_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp3
          | ! [X56] :
              ( ndr1_0
             => ( c3_1(X56)
                | c2_1(X56)
                | c1_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | c3_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp12
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | c1_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | c2_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp29
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c0_1(X60)
                | c1_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | c2_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp11
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | c2_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp11
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | ~ c0_1(X64)
                | c3_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c1_1(X65)
                | c2_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp1
          | hskp10
          | ! [X66] :
              ( ndr1_0
             => ( c3_1(X66)
                | c2_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp29
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c2_1(X67)
                | c1_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | c2_1(X68)
                | c0_1(X68) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | ~ c0_1(X69)
                | c3_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c1_1(X70)
                | c0_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c3_1(X71)
                | c2_1(X71)
                | c0_1(X71) ) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c2_1(X72)
                | c0_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c2_1(X73)
                | c0_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c3_1(X74)
                | c2_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp28
          | hskp0
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c1_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp9
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c2_1(X76)
                | ~ c1_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c1_1(X77)
                | c0_1(X77) ) ) )
        & ( ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | ~ c1_1(X78)
                | ~ c0_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c1_1(X79)
                | c3_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c1_1(X80)
                | c0_1(X80) ) ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c2_1(X81)
                | ~ c0_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | ~ c0_1(X82)
                | c3_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | c1_1(X83)
                | c0_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) ) ) )
        & ( hskp8
          | hskp7
          | ! [X86] :
              ( ndr1_0
             => ( ~ c2_1(X86)
                | c1_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp6
          | hskp5
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | c1_1(X87)
                | c0_1(X87) ) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c2_1(X88)
                | ~ c0_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | ~ c0_1(X89)
                | c3_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | c1_1(X90)
                | c0_1(X90) ) ) )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c2_1(X91)
                | c1_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | c2_1(X92)
                | c1_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | c1_1(X93)
                | c0_1(X93) ) ) )
        & ( hskp4
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | ~ c0_1(X94)
                | c2_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c3_1(X95)
                | c1_1(X95)
                | c0_1(X95) ) ) )
        & ( ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | ~ c1_1(X96)
                | c3_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c0_1(X97)
                | c1_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( c3_1(X98)
                | c1_1(X98)
                | c0_1(X98) ) ) )
        & ( hskp3
          | hskp2
          | ! [X99] :
              ( ndr1_0
             => ( c2_1(X99)
                | c1_1(X99)
                | c0_1(X99) ) ) )
        & ( hskp1
          | hskp27
          | ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | c1_1(X100)
                | c0_1(X100) ) ) )
        & ( hskp0
          | ! [X101] :
              ( ndr1_0
             => ( ~ c0_1(X101)
                | c3_1(X101)
                | c2_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( c2_1(X102)
                | c1_1(X102)
                | c0_1(X102) ) ) )
        & ( ! [X103] :
              ( ndr1_0
             => ( ~ c1_1(X103)
                | c2_1(X103)
                | c0_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( c3_1(X104)
                | c2_1(X104)
                | c0_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( c2_1(X105)
                | c1_1(X105)
                | c0_1(X105) ) ) )
        & ( ( c3_1(a1712)
            & c2_1(a1712)
            & c0_1(a1712)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a1647)
            & c1_1(a1647)
            & c0_1(a1647)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a1646)
            & c2_1(a1646)
            & c1_1(a1646)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c2_1(a1635)
            & c1_1(a1635)
            & c0_1(a1635)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c0_1(a1737)
            & c3_1(a1737)
            & c2_1(a1737)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c0_1(a1709)
            & c2_1(a1709)
            & c1_1(a1709)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c1_1(a1701)
            & ~ c0_1(a1701)
            & c3_1(a1701)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a1699)
            & ~ c2_1(a1699)
            & ~ c1_1(a1699)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a1697)
            & ~ c2_1(a1697)
            & ~ c0_1(a1697)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a1691)
            & c3_1(a1691)
            & c2_1(a1691)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a1689)
            & c1_1(a1689)
            & c0_1(a1689)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a1682)
            & c2_1(a1682)
            & c1_1(a1682)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a1680)
            & ~ c0_1(a1680)
            & c1_1(a1680)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a1675)
            & ~ c0_1(a1675)
            & c2_1(a1675)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a1667)
            & c2_1(a1667)
            & c0_1(a1667)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a1664)
            & ~ c1_1(a1664)
            & c0_1(a1664)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a1661)
            & ~ c1_1(a1661)
            & c0_1(a1661)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a1658)
            & c3_1(a1658)
            & c1_1(a1658)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a1653)
            & c1_1(a1653)
            & c0_1(a1653)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a1650)
            & ~ c0_1(a1650)
            & c1_1(a1650)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a1648)
            & c2_1(a1648)
            & c0_1(a1648)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a1644)
            & ~ c1_1(a1644)
            & ~ c0_1(a1644)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a1643)
            & ~ c2_1(a1643)
            & c1_1(a1643)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a1642)
            & ~ c2_1(a1642)
            & c0_1(a1642)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a1641)
            & ~ c0_1(a1641)
            & c2_1(a1641)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c2_1(a1640)
            & c3_1(a1640)
            & c0_1(a1640)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a1639)
            & ~ c1_1(a1639)
            & c3_1(a1639)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a1638)
            & ~ c0_1(a1638)
            & c3_1(a1638)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c0_1(a1637)
            & c3_1(a1637)
            & c1_1(a1637)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a1636)
            & ~ c1_1(a1636)
            & ~ c0_1(a1636)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a1634)
            & c3_1(a1634)
            & c0_1(a1634)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp1
          | hskp17
          | hskp11 )
        & ( hskp6
          | hskp21
          | hskp19 )
        & ( hskp1
          | hskp17
          | hskp25 )
        & ( hskp9
          | hskp6
          | hskp7 )
        & ( hskp1
          | hskp19
          | hskp15 )
        & ( hskp1
          | hskp26
          | hskp0 )
        & ( hskp8
          | hskp7
          | hskp0 )
        & ( hskp1
          | hskp5
          | hskp0 )
        & ( hskp11
          | hskp18
          | hskp10 )
        & ( hskp4
          | hskp6
          | hskp30 )
        & ( hskp24
          | hskp25
          | hskp12 )
        & ( hskp24
          | hskp5
          | hskp12 )
        & ( hskp14
          | hskp20 )
        & ( hskp6
          | hskp10
          | hskp29 )
        & ( hskp30
          | hskp20
          | hskp27 )
        & ( hskp25
          | hskp28
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c2_1(X105)
                | ~ c1_1(X105) ) ) )
        & ( hskp11
          | hskp7
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c2_1(X104)
                | ~ c1_1(X104) ) ) )
        & ( hskp22
          | hskp14
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | ~ c1_1(X103)
                | ~ c0_1(X103) ) ) )
        & ( hskp21
          | hskp20
          | ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | ~ c1_1(X102)
                | ~ c0_1(X102) ) ) )
        & ( hskp24
          | hskp29
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c1_1(X101)
                | ~ c0_1(X101) ) ) )
        & ( hskp23
          | hskp4
          | ! [X100] :
              ( ndr1_0
             => ( ~ c2_1(X100)
                | ~ c1_1(X100)
                | c3_1(X100) ) ) )
        & ( hskp22
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c1_1(X99)
                | ~ c0_1(X99) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | ~ c1_1(X98)
                | c3_1(X98) ) ) )
        & ( hskp9
          | ! [X97] :
              ( ndr1_0
             => ( ~ c2_1(X97)
                | ~ c1_1(X97)
                | ~ c0_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | ~ c1_1(X96)
                | c3_1(X96) ) ) )
        & ( hskp1
          | hskp8
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c0_1(X95)
                | c3_1(X95) ) ) )
        & ( hskp28
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | ~ c1_1(X94)
                | ~ c0_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | ~ c0_1(X93)
                | c3_1(X93) ) ) )
        & ( hskp3
          | hskp21
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c1_1(X92)
                | c2_1(X92) ) ) )
        & ( hskp28
          | hskp20
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c0_1(X91)
                | c2_1(X91) ) ) )
        & ( hskp9
          | hskp13
          | ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | c3_1(X90)
                | c2_1(X90) ) ) )
        & ( hskp19
          | hskp7
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c3_1(X89)
                | c2_1(X89) ) ) )
        & ( hskp6
          | hskp27
          | ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | c3_1(X88)
                | c2_1(X88) ) ) )
        & ( hskp19
          | hskp28
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c2_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp18
          | ! [X86] :
              ( ndr1_0
             => ( ~ c2_1(X86)
                | ~ c1_1(X86)
                | c3_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c2_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp9
          | hskp29
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c0_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp12
          | hskp29
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c0_1(X83)
                | c1_1(X83) ) ) )
        & ( hskp17
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c0_1(X82)
                | c2_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | ~ c0_1(X81)
                | c1_1(X81) ) ) )
        & ( hskp2
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c0_1(X80)
                | c2_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c0_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp9
          | hskp2
          | ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | c3_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp10
          | hskp16
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c2_1(X77)
                | c1_1(X77) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c1_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | ~ c1_1(X75)
                | ~ c0_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp14
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c2_1(X73)
                | c1_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp0
          | hskp16
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c2_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp28
          | hskp0
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c2_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp15
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | ~ c0_1(X69)
                | c3_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c2_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp5
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c2_1(X67)
                | c1_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp5
          | ! [X65] :
              ( ndr1_0
             => ( c3_1(X65)
                | c2_1(X65)
                | c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c2_1(X64)
                | c0_1(X64) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | ~ c1_1(X63)
                | c3_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c0_1(X62)
                | c1_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp14
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | c3_1(X60)
                | c1_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp11
          | ! [X58] :
              ( ndr1_0
             => ( ~ c0_1(X58)
                | c2_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp11
          | hskp13
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp5
          | hskp29
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c1_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp7
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | ~ c1_1(X53)
                | c0_1(X53) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | ~ c0_1(X52)
                | c3_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c0_1(X51)
                | c2_1(X51)
                | c1_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c1_1(X50)
                | c3_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp3
          | ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | c2_1(X49)
                | c1_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp12
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c2_1(X47)
                | c1_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | c2_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp29
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c0_1(X45)
                | c1_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | c2_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp11
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c1_1(X43)
                | c0_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | c2_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp11
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | ~ c0_1(X41)
                | c3_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | c2_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp1
          | hskp10
          | ! [X39] :
              ( ndr1_0
             => ( c3_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp29
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | c2_1(X38)
                | c1_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c0_1(X36)
                | c3_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | ~ c1_1(X35)
                | c0_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c3_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c2_1(X33)
                | c0_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp28
          | hskp0
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | c1_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp9
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c2_1(X29)
                | ~ c1_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | c1_1(X28)
                | c0_1(X28) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | ~ c1_1(X27)
                | ~ c0_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | ~ c1_1(X26)
                | c3_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | c1_1(X25)
                | c0_1(X25) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c2_1(X24)
                | ~ c0_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | ~ c0_1(X23)
                | c3_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c1_1(X21)
                | c0_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp8
          | hskp7
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp6
          | hskp5
          | ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c2_1(X17)
                | ~ c0_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | ~ c0_1(X16)
                | c3_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c2_1(X14)
                | c1_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c0_1(X13)
                | c2_1(X13)
                | c1_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp4
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c2_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c1_1(X9)
                | c3_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c0_1(X8)
                | c1_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp3
          | hskp2
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp1
          | hskp27
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c0_1(X4)
                | c3_1(X4)
                | c2_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c1_1(X2)
                | c2_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) ) ) )
        & ( ( c3_1(a1712)
            & c2_1(a1712)
            & c0_1(a1712)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a1647)
            & c1_1(a1647)
            & c0_1(a1647)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a1646)
            & c2_1(a1646)
            & c1_1(a1646)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c2_1(a1635)
            & c1_1(a1635)
            & c0_1(a1635)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c0_1(a1737)
            & c3_1(a1737)
            & c2_1(a1737)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c0_1(a1709)
            & c2_1(a1709)
            & c1_1(a1709)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c1_1(a1701)
            & ~ c0_1(a1701)
            & c3_1(a1701)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a1699)
            & ~ c2_1(a1699)
            & ~ c1_1(a1699)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a1697)
            & ~ c2_1(a1697)
            & ~ c0_1(a1697)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a1691)
            & c3_1(a1691)
            & c2_1(a1691)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a1689)
            & c1_1(a1689)
            & c0_1(a1689)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a1682)
            & c2_1(a1682)
            & c1_1(a1682)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a1680)
            & ~ c0_1(a1680)
            & c1_1(a1680)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a1675)
            & ~ c0_1(a1675)
            & c2_1(a1675)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a1667)
            & c2_1(a1667)
            & c0_1(a1667)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a1664)
            & ~ c1_1(a1664)
            & c0_1(a1664)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a1661)
            & ~ c1_1(a1661)
            & c0_1(a1661)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a1658)
            & c3_1(a1658)
            & c1_1(a1658)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a1653)
            & c1_1(a1653)
            & c0_1(a1653)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a1650)
            & ~ c0_1(a1650)
            & c1_1(a1650)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a1648)
            & c2_1(a1648)
            & c0_1(a1648)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a1644)
            & ~ c1_1(a1644)
            & ~ c0_1(a1644)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a1643)
            & ~ c2_1(a1643)
            & c1_1(a1643)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a1642)
            & ~ c2_1(a1642)
            & c0_1(a1642)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a1641)
            & ~ c0_1(a1641)
            & c2_1(a1641)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c2_1(a1640)
            & c3_1(a1640)
            & c0_1(a1640)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a1639)
            & ~ c1_1(a1639)
            & c3_1(a1639)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a1638)
            & ~ c0_1(a1638)
            & c3_1(a1638)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c0_1(a1637)
            & c3_1(a1637)
            & c1_1(a1637)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a1636)
            & ~ c1_1(a1636)
            & ~ c0_1(a1636)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a1634)
            & c3_1(a1634)
            & c0_1(a1634)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp1
        | hskp17
        | hskp11 )
      & ( hskp6
        | hskp21
        | hskp19 )
      & ( hskp1
        | hskp17
        | hskp25 )
      & ( hskp9
        | hskp6
        | hskp7 )
      & ( hskp1
        | hskp19
        | hskp15 )
      & ( hskp1
        | hskp26
        | hskp0 )
      & ( hskp8
        | hskp7
        | hskp0 )
      & ( hskp1
        | hskp5
        | hskp0 )
      & ( hskp11
        | hskp18
        | hskp10 )
      & ( hskp4
        | hskp6
        | hskp30 )
      & ( hskp24
        | hskp25
        | hskp12 )
      & ( hskp24
        | hskp5
        | hskp12 )
      & ( hskp14
        | hskp20 )
      & ( hskp6
        | hskp10
        | hskp29 )
      & ( hskp30
        | hskp20
        | hskp27 )
      & ( hskp25
        | hskp28
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c2_1(X105)
              | ~ c1_1(X105) ) ) )
      & ( hskp11
        | hskp7
        | ! [X104] :
            ( ndr1_0
           => ( ~ c3_1(X104)
              | ~ c2_1(X104)
              | ~ c1_1(X104) ) ) )
      & ( hskp22
        | hskp14
        | ! [X103] :
            ( ndr1_0
           => ( ~ c2_1(X103)
              | ~ c1_1(X103)
              | ~ c0_1(X103) ) ) )
      & ( hskp21
        | hskp20
        | ! [X102] :
            ( ndr1_0
           => ( ~ c2_1(X102)
              | ~ c1_1(X102)
              | ~ c0_1(X102) ) ) )
      & ( hskp24
        | hskp29
        | ! [X101] :
            ( ndr1_0
           => ( ~ c2_1(X101)
              | ~ c1_1(X101)
              | ~ c0_1(X101) ) ) )
      & ( hskp23
        | hskp4
        | ! [X100] :
            ( ndr1_0
           => ( ~ c2_1(X100)
              | ~ c1_1(X100)
              | c3_1(X100) ) ) )
      & ( hskp22
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c1_1(X99)
              | ~ c0_1(X99) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c2_1(X98)
              | ~ c1_1(X98)
              | c3_1(X98) ) ) )
      & ( hskp9
        | ! [X97] :
            ( ndr1_0
           => ( ~ c2_1(X97)
              | ~ c1_1(X97)
              | ~ c0_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c2_1(X96)
              | ~ c1_1(X96)
              | c3_1(X96) ) ) )
      & ( hskp1
        | hskp8
        | ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c0_1(X95)
              | c3_1(X95) ) ) )
      & ( hskp28
        | ! [X94] :
            ( ndr1_0
           => ( ~ c2_1(X94)
              | ~ c1_1(X94)
              | ~ c0_1(X94) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c1_1(X93)
              | ~ c0_1(X93)
              | c3_1(X93) ) ) )
      & ( hskp3
        | hskp21
        | ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | ~ c1_1(X92)
              | c2_1(X92) ) ) )
      & ( hskp28
        | hskp20
        | ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c0_1(X91)
              | c2_1(X91) ) ) )
      & ( hskp9
        | hskp13
        | ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | c3_1(X90)
              | c2_1(X90) ) ) )
      & ( hskp19
        | hskp7
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | c3_1(X89)
              | c2_1(X89) ) ) )
      & ( hskp6
        | hskp27
        | ! [X88] :
            ( ndr1_0
           => ( ~ c0_1(X88)
              | c3_1(X88)
              | c2_1(X88) ) ) )
      & ( hskp19
        | hskp28
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c2_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp18
        | ! [X86] :
            ( ndr1_0
           => ( ~ c2_1(X86)
              | ~ c1_1(X86)
              | c3_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c2_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp9
        | hskp29
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c0_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp12
        | hskp29
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c0_1(X83)
              | c1_1(X83) ) ) )
      & ( hskp17
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c0_1(X82)
              | c2_1(X82) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c2_1(X81)
              | ~ c0_1(X81)
              | c1_1(X81) ) ) )
      & ( hskp2
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c0_1(X80)
              | c2_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | ~ c0_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp9
        | hskp2
        | ! [X78] :
            ( ndr1_0
           => ( ~ c2_1(X78)
              | c3_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp10
        | hskp16
        | ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | c2_1(X77)
              | c1_1(X77) ) ) )
      & ( ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c1_1(X76)
              | ~ c0_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c2_1(X75)
              | ~ c1_1(X75)
              | ~ c0_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | c2_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp14
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c2_1(X73)
              | c1_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp0
        | hskp16
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | c2_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp28
        | hskp0
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | ~ c2_1(X70)
              | c0_1(X70) ) ) )
      & ( hskp15
        | ! [X69] :
            ( ndr1_0
           => ( ~ c1_1(X69)
              | ~ c0_1(X69)
              | c3_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c2_1(X68)
              | c0_1(X68) ) ) )
      & ( hskp5
        | ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c2_1(X67)
              | c1_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c2_1(X66)
              | c0_1(X66) ) ) )
      & ( hskp5
        | ! [X65] :
            ( ndr1_0
           => ( c3_1(X65)
              | c2_1(X65)
              | c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c2_1(X64)
              | c0_1(X64) ) ) )
      & ( ! [X63] :
            ( ndr1_0
           => ( ~ c2_1(X63)
              | ~ c1_1(X63)
              | c3_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c0_1(X62)
              | c1_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c1_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp14
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | c3_1(X60)
              | c1_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c1_1(X59)
              | c0_1(X59) ) ) )
      & ( hskp11
        | ! [X58] :
            ( ndr1_0
           => ( ~ c0_1(X58)
              | c2_1(X58)
              | c1_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c1_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp11
        | hskp13
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | ~ c1_1(X56)
              | c0_1(X56) ) ) )
      & ( hskp5
        | hskp29
        | ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | ~ c1_1(X55)
              | c0_1(X55) ) ) )
      & ( hskp7
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c1_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | ~ c1_1(X53)
              | c0_1(X53) ) ) )
      & ( ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | ~ c0_1(X52)
              | c3_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c0_1(X51)
              | c2_1(X51)
              | c1_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c1_1(X50)
              | c3_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp3
        | ! [X49] :
            ( ndr1_0
           => ( c3_1(X49)
              | c2_1(X49)
              | c1_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c1_1(X48)
              | c3_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp12
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | ~ c2_1(X47)
              | c1_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | c2_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp29
        | ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | ~ c0_1(X45)
              | c1_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | c2_1(X44)
              | c0_1(X44) ) ) )
      & ( hskp11
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | ~ c1_1(X43)
              | c0_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | c2_1(X42)
              | c0_1(X42) ) ) )
      & ( hskp11
        | ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | ~ c0_1(X41)
              | c3_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c1_1(X40)
              | c2_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp1
        | hskp10
        | ! [X39] :
            ( ndr1_0
           => ( c3_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp29
        | ! [X38] :
            ( ndr1_0
           => ( ~ c0_1(X38)
              | c2_1(X38)
              | c1_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c3_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( ~ c2_1(X36)
              | ~ c0_1(X36)
              | c3_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c2_1(X35)
              | ~ c1_1(X35)
              | c0_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c3_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | ~ c2_1(X33)
              | c0_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp28
        | hskp0
        | ! [X30] :
            ( ndr1_0
           => ( ~ c3_1(X30)
              | c1_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp9
        | ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | ~ c2_1(X29)
              | ~ c1_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | c1_1(X28)
              | c0_1(X28) ) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( ~ c2_1(X27)
              | ~ c1_1(X27)
              | ~ c0_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c2_1(X26)
              | ~ c1_1(X26)
              | c3_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c3_1(X25)
              | c1_1(X25)
              | c0_1(X25) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | ~ c2_1(X24)
              | ~ c0_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c2_1(X23)
              | ~ c0_1(X23)
              | c3_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) ) )
      & ( ! [X21] :
            ( ndr1_0
           => ( ~ c2_1(X21)
              | ~ c1_1(X21)
              | c0_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp8
        | hskp7
        | ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp6
        | hskp5
        | ! [X18] :
            ( ndr1_0
           => ( ~ c2_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | ~ c2_1(X17)
              | ~ c0_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c1_1(X16)
              | ~ c0_1(X16)
              | c3_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c2_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( ~ c3_1(X14)
              | ~ c2_1(X14)
              | c1_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c0_1(X13)
              | c2_1(X13)
              | c1_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( hskp4
        | ! [X11] :
            ( ndr1_0
           => ( ~ c1_1(X11)
              | ~ c0_1(X11)
              | c2_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c3_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | ~ c1_1(X9)
              | c3_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c3_1(X8)
              | ~ c0_1(X8)
              | c1_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp3
        | hskp2
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp1
        | hskp27
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp0
        | ! [X4] :
            ( ndr1_0
           => ( ~ c0_1(X4)
              | c3_1(X4)
              | c2_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c1_1(X2)
              | c2_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) ) ) )
      & ( ( c3_1(a1712)
          & c2_1(a1712)
          & c0_1(a1712)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a1647)
          & c1_1(a1647)
          & c0_1(a1647)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a1646)
          & c2_1(a1646)
          & c1_1(a1646)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c2_1(a1635)
          & c1_1(a1635)
          & c0_1(a1635)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c0_1(a1737)
          & c3_1(a1737)
          & c2_1(a1737)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c0_1(a1709)
          & c2_1(a1709)
          & c1_1(a1709)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c1_1(a1701)
          & ~ c0_1(a1701)
          & c3_1(a1701)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a1699)
          & ~ c2_1(a1699)
          & ~ c1_1(a1699)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a1697)
          & ~ c2_1(a1697)
          & ~ c0_1(a1697)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c1_1(a1691)
          & c3_1(a1691)
          & c2_1(a1691)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a1689)
          & c1_1(a1689)
          & c0_1(a1689)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a1682)
          & c2_1(a1682)
          & c1_1(a1682)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a1680)
          & ~ c0_1(a1680)
          & c1_1(a1680)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c1_1(a1675)
          & ~ c0_1(a1675)
          & c2_1(a1675)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c1_1(a1667)
          & c2_1(a1667)
          & c0_1(a1667)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c2_1(a1664)
          & ~ c1_1(a1664)
          & c0_1(a1664)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c3_1(a1661)
          & ~ c1_1(a1661)
          & c0_1(a1661)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c2_1(a1658)
          & c3_1(a1658)
          & c1_1(a1658)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a1653)
          & c1_1(a1653)
          & c0_1(a1653)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a1650)
          & ~ c0_1(a1650)
          & c1_1(a1650)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a1648)
          & c2_1(a1648)
          & c0_1(a1648)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a1644)
          & ~ c1_1(a1644)
          & ~ c0_1(a1644)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a1643)
          & ~ c2_1(a1643)
          & c1_1(a1643)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a1642)
          & ~ c2_1(a1642)
          & c0_1(a1642)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a1641)
          & ~ c0_1(a1641)
          & c2_1(a1641)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c2_1(a1640)
          & c3_1(a1640)
          & c0_1(a1640)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c2_1(a1639)
          & ~ c1_1(a1639)
          & c3_1(a1639)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a1638)
          & ~ c0_1(a1638)
          & c3_1(a1638)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c0_1(a1637)
          & c3_1(a1637)
          & c1_1(a1637)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a1636)
          & ~ c1_1(a1636)
          & ~ c0_1(a1636)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c1_1(a1634)
          & c3_1(a1634)
          & c0_1(a1634)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f1026,plain,
    ( ~ spl0_11
    | spl0_154 ),
    inference(avatar_split_clause,[],[f8,f1023,f287]) ).

fof(f8,plain,
    ( c0_1(a1634)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1021,plain,
    ( ~ spl0_11
    | spl0_153 ),
    inference(avatar_split_clause,[],[f9,f1018,f287]) ).

fof(f9,plain,
    ( c3_1(a1634)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1016,plain,
    ( ~ spl0_11
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f10,f1013,f287]) ).

fof(f10,plain,
    ( ~ c1_1(a1634)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1011,plain,
    ( ~ spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f11,f353,f250]) ).

fof(f250,plain,
    ( spl0_3
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

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

fof(f1010,plain,
    ( ~ spl0_3
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f12,f1007,f250]) ).

fof(f12,plain,
    ( ~ c0_1(a1636)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1005,plain,
    ( ~ spl0_3
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f13,f1002,f250]) ).

fof(f13,plain,
    ( ~ c1_1(a1636)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1000,plain,
    ( ~ spl0_3
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f14,f997,f250]) ).

fof(f14,plain,
    ( ~ c2_1(a1636)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f994,plain,
    ( ~ spl0_43
    | spl0_148 ),
    inference(avatar_split_clause,[],[f16,f991,f433]) ).

fof(f433,plain,
    ( spl0_43
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f16,plain,
    ( c1_1(a1637)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f989,plain,
    ( ~ spl0_43
    | spl0_147 ),
    inference(avatar_split_clause,[],[f17,f986,f433]) ).

fof(f17,plain,
    ( c3_1(a1637)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f984,plain,
    ( ~ spl0_43
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f18,f981,f433]) ).

fof(f18,plain,
    ( ~ c0_1(a1637)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f978,plain,
    ( ~ spl0_36
    | spl0_145 ),
    inference(avatar_split_clause,[],[f20,f975,f400]) ).

fof(f400,plain,
    ( spl0_36
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f20,plain,
    ( c3_1(a1638)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f973,plain,
    ( ~ spl0_36
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f21,f970,f400]) ).

fof(f21,plain,
    ( ~ c0_1(a1638)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f968,plain,
    ( ~ spl0_36
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f22,f965,f400]) ).

fof(f22,plain,
    ( ~ c2_1(a1638)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f947,plain,
    ( ~ spl0_14
    | spl0_25 ),
    inference(avatar_split_clause,[],[f27,f353,f301]) ).

fof(f301,plain,
    ( spl0_14
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

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

fof(f946,plain,
    ( ~ spl0_14
    | spl0_139 ),
    inference(avatar_split_clause,[],[f28,f943,f301]) ).

fof(f28,plain,
    ( c0_1(a1640)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f941,plain,
    ( ~ spl0_14
    | spl0_138 ),
    inference(avatar_split_clause,[],[f29,f938,f301]) ).

fof(f29,plain,
    ( c3_1(a1640)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f936,plain,
    ( ~ spl0_14
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f30,f933,f301]) ).

fof(f30,plain,
    ( ~ c2_1(a1640)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f914,plain,
    ( ~ spl0_8
    | spl0_133 ),
    inference(avatar_split_clause,[],[f36,f911,f273]) ).

fof(f273,plain,
    ( spl0_8
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f36,plain,
    ( c0_1(a1642)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f909,plain,
    ( ~ spl0_8
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f37,f906,f273]) ).

fof(f37,plain,
    ( ~ c2_1(a1642)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f904,plain,
    ( ~ spl0_8
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f38,f901,f273]) ).

fof(f38,plain,
    ( ~ c3_1(a1642)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f898,plain,
    ( ~ spl0_13
    | spl0_130 ),
    inference(avatar_split_clause,[],[f40,f895,f296]) ).

fof(f296,plain,
    ( spl0_13
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f40,plain,
    ( c1_1(a1643)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f893,plain,
    ( ~ spl0_13
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f41,f890,f296]) ).

fof(f41,plain,
    ( ~ c2_1(a1643)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f888,plain,
    ( ~ spl0_13
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f42,f885,f296]) ).

fof(f42,plain,
    ( ~ c3_1(a1643)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f882,plain,
    ( ~ spl0_9
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f44,f879,f277]) ).

fof(f277,plain,
    ( spl0_9
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f44,plain,
    ( ~ c0_1(a1644)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f877,plain,
    ( ~ spl0_9
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f45,f874,f277]) ).

fof(f45,plain,
    ( ~ c1_1(a1644)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f866,plain,
    ( ~ spl0_15
    | spl0_124 ),
    inference(avatar_split_clause,[],[f48,f863,f306]) ).

fof(f306,plain,
    ( spl0_15
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f48,plain,
    ( c0_1(a1648)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f861,plain,
    ( ~ spl0_15
    | spl0_123 ),
    inference(avatar_split_clause,[],[f49,f858,f306]) ).

fof(f49,plain,
    ( c2_1(a1648)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f856,plain,
    ( ~ spl0_15
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f50,f853,f306]) ).

fof(f50,plain,
    ( ~ c3_1(a1648)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f850,plain,
    ( ~ spl0_1
    | spl0_121 ),
    inference(avatar_split_clause,[],[f52,f847,f242]) ).

fof(f242,plain,
    ( spl0_1
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f52,plain,
    ( c1_1(a1650)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f845,plain,
    ( ~ spl0_1
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f53,f842,f242]) ).

fof(f53,plain,
    ( ~ c0_1(a1650)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f840,plain,
    ( ~ spl0_1
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f54,f837,f242]) ).

fof(f54,plain,
    ( ~ c3_1(a1650)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f834,plain,
    ( ~ spl0_19
    | spl0_118 ),
    inference(avatar_split_clause,[],[f56,f831,f324]) ).

fof(f324,plain,
    ( spl0_19
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f56,plain,
    ( c0_1(a1653)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f829,plain,
    ( ~ spl0_19
    | spl0_117 ),
    inference(avatar_split_clause,[],[f57,f826,f324]) ).

fof(f57,plain,
    ( c1_1(a1653)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f824,plain,
    ( ~ spl0_19
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f58,f821,f324]) ).

fof(f58,plain,
    ( ~ c3_1(a1653)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f818,plain,
    ( ~ spl0_39
    | spl0_115 ),
    inference(avatar_split_clause,[],[f60,f815,f412]) ).

fof(f412,plain,
    ( spl0_39
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f60,plain,
    ( c1_1(a1658)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f813,plain,
    ( ~ spl0_39
    | spl0_114 ),
    inference(avatar_split_clause,[],[f61,f810,f412]) ).

fof(f61,plain,
    ( c3_1(a1658)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f808,plain,
    ( ~ spl0_39
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f62,f805,f412]) ).

fof(f62,plain,
    ( ~ c2_1(a1658)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f802,plain,
    ( ~ spl0_22
    | spl0_112 ),
    inference(avatar_split_clause,[],[f64,f799,f338]) ).

fof(f338,plain,
    ( spl0_22
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f64,plain,
    ( c0_1(a1661)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f797,plain,
    ( ~ spl0_22
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f65,f794,f338]) ).

fof(f65,plain,
    ( ~ c1_1(a1661)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f792,plain,
    ( ~ spl0_22
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f66,f789,f338]) ).

fof(f66,plain,
    ( ~ c3_1(a1661)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f786,plain,
    ( ~ spl0_10
    | spl0_109 ),
    inference(avatar_split_clause,[],[f68,f783,f282]) ).

fof(f282,plain,
    ( spl0_10
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f68,plain,
    ( c0_1(a1664)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f781,plain,
    ( ~ spl0_10
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f69,f778,f282]) ).

fof(f69,plain,
    ( ~ c1_1(a1664)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f776,plain,
    ( ~ spl0_10
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f70,f773,f282]) ).

fof(f70,plain,
    ( ~ c2_1(a1664)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f770,plain,
    ( ~ spl0_46
    | spl0_106 ),
    inference(avatar_split_clause,[],[f72,f767,f445]) ).

fof(f445,plain,
    ( spl0_46
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f72,plain,
    ( c0_1(a1667)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f765,plain,
    ( ~ spl0_46
    | spl0_105 ),
    inference(avatar_split_clause,[],[f73,f762,f445]) ).

fof(f73,plain,
    ( c2_1(a1667)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f760,plain,
    ( ~ spl0_46
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f74,f757,f445]) ).

fof(f74,plain,
    ( ~ c1_1(a1667)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f754,plain,
    ( ~ spl0_2
    | spl0_103 ),
    inference(avatar_split_clause,[],[f76,f751,f246]) ).

fof(f246,plain,
    ( spl0_2
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f76,plain,
    ( c2_1(a1675)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f749,plain,
    ( ~ spl0_2
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f77,f746,f246]) ).

fof(f77,plain,
    ( ~ c0_1(a1675)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f744,plain,
    ( ~ spl0_2
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f78,f741,f246]) ).

fof(f78,plain,
    ( ~ c1_1(a1675)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f738,plain,
    ( ~ spl0_16
    | spl0_100 ),
    inference(avatar_split_clause,[],[f80,f735,f310]) ).

fof(f310,plain,
    ( spl0_16
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f80,plain,
    ( c1_1(a1680)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f733,plain,
    ( ~ spl0_16
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f81,f730,f310]) ).

fof(f81,plain,
    ( ~ c0_1(a1680)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f728,plain,
    ( ~ spl0_16
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f82,f725,f310]) ).

fof(f82,plain,
    ( ~ c2_1(a1680)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f722,plain,
    ( ~ spl0_4
    | spl0_97 ),
    inference(avatar_split_clause,[],[f84,f719,f255]) ).

fof(f255,plain,
    ( spl0_4
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f84,plain,
    ( c1_1(a1682)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f717,plain,
    ( ~ spl0_4
    | spl0_96 ),
    inference(avatar_split_clause,[],[f85,f714,f255]) ).

fof(f85,plain,
    ( c2_1(a1682)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f712,plain,
    ( ~ spl0_4
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f86,f709,f255]) ).

fof(f86,plain,
    ( ~ c3_1(a1682)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f674,plain,
    ( ~ spl0_29
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f96,f671,f369]) ).

fof(f369,plain,
    ( spl0_29
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f96,plain,
    ( ~ c0_1(a1697)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f669,plain,
    ( ~ spl0_29
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f97,f666,f369]) ).

fof(f97,plain,
    ( ~ c2_1(a1697)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f664,plain,
    ( ~ spl0_29
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f98,f661,f369]) ).

fof(f98,plain,
    ( ~ c3_1(a1697)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f642,plain,
    ( ~ spl0_20
    | spl0_82 ),
    inference(avatar_split_clause,[],[f104,f639,f328]) ).

fof(f328,plain,
    ( spl0_20
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f104,plain,
    ( c3_1(a1701)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f637,plain,
    ( ~ spl0_20
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f105,f634,f328]) ).

fof(f105,plain,
    ( ~ c0_1(a1701)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f632,plain,
    ( ~ spl0_20
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f106,f629,f328]) ).

fof(f106,plain,
    ( ~ c1_1(a1701)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f626,plain,
    ( ~ spl0_7
    | spl0_79 ),
    inference(avatar_split_clause,[],[f108,f623,f268]) ).

fof(f268,plain,
    ( spl0_7
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f108,plain,
    ( c1_1(a1709)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f621,plain,
    ( ~ spl0_7
    | spl0_78 ),
    inference(avatar_split_clause,[],[f109,f618,f268]) ).

fof(f109,plain,
    ( c2_1(a1709)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f616,plain,
    ( ~ spl0_7
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f110,f613,f268]) ).

fof(f110,plain,
    ( ~ c0_1(a1709)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f610,plain,
    ( ~ spl0_12
    | spl0_76 ),
    inference(avatar_split_clause,[],[f112,f607,f291]) ).

fof(f291,plain,
    ( spl0_12
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f112,plain,
    ( c2_1(a1737)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f605,plain,
    ( ~ spl0_12
    | spl0_75 ),
    inference(avatar_split_clause,[],[f113,f602,f291]) ).

fof(f113,plain,
    ( c3_1(a1737)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f600,plain,
    ( ~ spl0_12
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f114,f597,f291]) ).

fof(f114,plain,
    ( ~ c0_1(a1737)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f578,plain,
    ( ~ spl0_27
    | spl0_70 ),
    inference(avatar_split_clause,[],[f120,f575,f360]) ).

fof(f360,plain,
    ( spl0_27
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f120,plain,
    ( c1_1(a1646)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f573,plain,
    ( ~ spl0_27
    | spl0_69 ),
    inference(avatar_split_clause,[],[f121,f570,f360]) ).

fof(f121,plain,
    ( c2_1(a1646)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f568,plain,
    ( ~ spl0_27
    | spl0_68 ),
    inference(avatar_split_clause,[],[f122,f565,f360]) ).

fof(f122,plain,
    ( c3_1(a1646)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f562,plain,
    ( ~ spl0_23
    | spl0_67 ),
    inference(avatar_split_clause,[],[f124,f559,f343]) ).

fof(f343,plain,
    ( spl0_23
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f124,plain,
    ( c0_1(a1647)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f557,plain,
    ( ~ spl0_23
    | spl0_66 ),
    inference(avatar_split_clause,[],[f125,f554,f343]) ).

fof(f125,plain,
    ( c1_1(a1647)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f552,plain,
    ( ~ spl0_23
    | spl0_65 ),
    inference(avatar_split_clause,[],[f126,f549,f343]) ).

fof(f126,plain,
    ( c3_1(a1647)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f531,plain,
    ( spl0_61
    | spl0_55
    | ~ spl0_25
    | spl0_54 ),
    inference(avatar_split_clause,[],[f207,f489,f353,f493,f526]) ).

fof(f207,plain,
    ! [X104,X105,X103] :
      ( ~ c1_1(X103)
      | c2_1(X103)
      | c0_1(X103)
      | ~ ndr1_0
      | c3_1(X104)
      | c2_1(X104)
      | c0_1(X104)
      | c2_1(X105)
      | c1_1(X105)
      | c0_1(X105) ),
    inference(duplicate_literal_removal,[],[f131]) ).

fof(f131,plain,
    ! [X104,X105,X103] :
      ( ~ c1_1(X103)
      | c2_1(X103)
      | c0_1(X103)
      | ~ ndr1_0
      | c3_1(X104)
      | c2_1(X104)
      | c0_1(X104)
      | ~ ndr1_0
      | c2_1(X105)
      | c1_1(X105)
      | c0_1(X105)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f530,plain,
    ( spl0_61
    | ~ spl0_25
    | spl0_38
    | spl0_11 ),
    inference(avatar_split_clause,[],[f208,f287,f409,f353,f526]) ).

fof(f208,plain,
    ! [X101,X102] :
      ( hskp0
      | ~ c0_1(X101)
      | c3_1(X101)
      | c2_1(X101)
      | ~ ndr1_0
      | c2_1(X102)
      | c1_1(X102)
      | c0_1(X102) ),
    inference(duplicate_literal_removal,[],[f132]) ).

fof(f132,plain,
    ! [X101,X102] :
      ( hskp0
      | ~ c0_1(X101)
      | c3_1(X101)
      | c2_1(X101)
      | ~ ndr1_0
      | c2_1(X102)
      | c1_1(X102)
      | c0_1(X102)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f528,plain,
    ( ~ spl0_25
    | spl0_61
    | spl0_43
    | spl0_36 ),
    inference(avatar_split_clause,[],[f134,f400,f433,f526,f353]) ).

fof(f134,plain,
    ! [X99] :
      ( hskp3
      | hskp2
      | c2_1(X99)
      | c1_1(X99)
      | c0_1(X99)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f524,plain,
    ( spl0_59
    | spl0_41
    | ~ spl0_25
    | spl0_30 ),
    inference(avatar_split_clause,[],[f209,f376,f353,f424,f518]) ).

fof(f209,plain,
    ! [X98,X96,X97] :
      ( ~ c2_1(X96)
      | ~ c1_1(X96)
      | c3_1(X96)
      | ~ ndr1_0
      | ~ c3_1(X97)
      | ~ c0_1(X97)
      | c1_1(X97)
      | c3_1(X98)
      | c1_1(X98)
      | c0_1(X98) ),
    inference(duplicate_literal_removal,[],[f135]) ).

fof(f135,plain,
    ! [X98,X96,X97] :
      ( ~ c2_1(X96)
      | ~ c1_1(X96)
      | c3_1(X96)
      | ~ ndr1_0
      | ~ c3_1(X97)
      | ~ c0_1(X97)
      | c1_1(X97)
      | ~ ndr1_0
      | c3_1(X98)
      | c1_1(X98)
      | c0_1(X98)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f516,plain,
    ( spl0_58
    | spl0_47
    | ~ spl0_25
    | spl0_40 ),
    inference(avatar_split_clause,[],[f211,f419,f353,f452,f511]) ).

fof(f211,plain,
    ! [X91,X92,X93] :
      ( ~ c3_1(X91)
      | ~ c2_1(X91)
      | c1_1(X91)
      | ~ ndr1_0
      | ~ c0_1(X92)
      | c2_1(X92)
      | c1_1(X92)
      | ~ c2_1(X93)
      | c1_1(X93)
      | c0_1(X93) ),
    inference(duplicate_literal_removal,[],[f137]) ).

fof(f137,plain,
    ! [X91,X92,X93] :
      ( ~ c3_1(X91)
      | ~ c2_1(X91)
      | c1_1(X91)
      | ~ ndr1_0
      | ~ c0_1(X92)
      | c2_1(X92)
      | c1_1(X92)
      | ~ ndr1_0
      | ~ c2_1(X93)
      | c1_1(X93)
      | c0_1(X93)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f515,plain,
    ( spl0_58
    | spl0_34
    | ~ spl0_25
    | spl0_57 ),
    inference(avatar_split_clause,[],[f212,f506,f353,f393,f511]) ).

fof(f212,plain,
    ! [X90,X88,X89] :
      ( ~ c3_1(X88)
      | ~ c2_1(X88)
      | ~ c0_1(X88)
      | ~ ndr1_0
      | ~ c1_1(X89)
      | ~ c0_1(X89)
      | c3_1(X89)
      | ~ c2_1(X90)
      | c1_1(X90)
      | c0_1(X90) ),
    inference(duplicate_literal_removal,[],[f138]) ).

fof(f138,plain,
    ! [X90,X88,X89] :
      ( ~ c3_1(X88)
      | ~ c2_1(X88)
      | ~ c0_1(X88)
      | ~ ndr1_0
      | ~ c1_1(X89)
      | ~ c0_1(X89)
      | c3_1(X89)
      | ~ ndr1_0
      | ~ c2_1(X90)
      | c1_1(X90)
      | c0_1(X90)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f509,plain,
    ( spl0_56
    | ~ spl0_25
    | spl0_51 ),
    inference(avatar_split_clause,[],[f213,f472,f353,f500]) ).

fof(f213,plain,
    ! [X84,X85] :
      ( ~ c2_1(X84)
      | ~ c1_1(X84)
      | c0_1(X84)
      | ~ ndr1_0
      | ~ c3_1(X85)
      | c1_1(X85)
      | c0_1(X85) ),
    inference(duplicate_literal_removal,[],[f141]) ).

fof(f141,plain,
    ! [X84,X85] :
      ( ~ c2_1(X84)
      | ~ c1_1(X84)
      | c0_1(X84)
      | ~ ndr1_0
      | ~ c3_1(X85)
      | c1_1(X85)
      | c0_1(X85)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f508,plain,
    ( spl0_56
    | spl0_33
    | ~ spl0_25
    | spl0_57 ),
    inference(avatar_split_clause,[],[f214,f506,f353,f389,f500]) ).

fof(f214,plain,
    ! [X82,X83,X81] :
      ( ~ c3_1(X81)
      | ~ c2_1(X81)
      | ~ c0_1(X81)
      | ~ ndr1_0
      | ~ c2_1(X82)
      | ~ c0_1(X82)
      | c3_1(X82)
      | ~ c3_1(X83)
      | c1_1(X83)
      | c0_1(X83) ),
    inference(duplicate_literal_removal,[],[f142]) ).

fof(f142,plain,
    ! [X82,X83,X81] :
      ( ~ c3_1(X81)
      | ~ c2_1(X81)
      | ~ c0_1(X81)
      | ~ ndr1_0
      | ~ c2_1(X82)
      | ~ c0_1(X82)
      | c3_1(X82)
      | ~ ndr1_0
      | ~ c3_1(X83)
      | c1_1(X83)
      | c0_1(X83)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f504,plain,
    ( spl0_56
    | spl0_30
    | ~ spl0_25
    | spl0_28 ),
    inference(avatar_split_clause,[],[f215,f366,f353,f376,f500]) ).

fof(f215,plain,
    ! [X80,X78,X79] :
      ( ~ c2_1(X78)
      | ~ c1_1(X78)
      | ~ c0_1(X78)
      | ~ ndr1_0
      | ~ c2_1(X79)
      | ~ c1_1(X79)
      | c3_1(X79)
      | ~ c3_1(X80)
      | c1_1(X80)
      | c0_1(X80) ),
    inference(duplicate_literal_removal,[],[f143]) ).

fof(f143,plain,
    ! [X80,X78,X79] :
      ( ~ c2_1(X78)
      | ~ c1_1(X78)
      | ~ c0_1(X78)
      | ~ ndr1_0
      | ~ c2_1(X79)
      | ~ c1_1(X79)
      | c3_1(X79)
      | ~ ndr1_0
      | ~ c3_1(X80)
      | c1_1(X80)
      | c0_1(X80)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f502,plain,
    ( ~ spl0_25
    | spl0_56
    | spl0_11
    | spl0_27 ),
    inference(avatar_split_clause,[],[f145,f360,f287,f500,f353]) ).

fof(f145,plain,
    ! [X75] :
      ( hskp28
      | hskp0
      | ~ c3_1(X75)
      | c1_1(X75)
      | c0_1(X75)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f498,plain,
    ( spl0_55
    | spl0_53
    | ~ spl0_25
    | spl0_48 ),
    inference(avatar_split_clause,[],[f217,f456,f353,f483,f493]) ).

fof(f217,plain,
    ! [X72,X73,X74] :
      ( ~ c3_1(X72)
      | ~ c2_1(X72)
      | c0_1(X72)
      | ~ ndr1_0
      | ~ c3_1(X73)
      | c2_1(X73)
      | c0_1(X73)
      | c3_1(X74)
      | c2_1(X74)
      | c0_1(X74) ),
    inference(duplicate_literal_removal,[],[f146]) ).

fof(f146,plain,
    ! [X72,X73,X74] :
      ( ~ c3_1(X72)
      | ~ c2_1(X72)
      | c0_1(X72)
      | ~ ndr1_0
      | ~ c3_1(X73)
      | c2_1(X73)
      | c0_1(X73)
      | ~ ndr1_0
      | c3_1(X74)
      | c2_1(X74)
      | c0_1(X74)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f497,plain,
    ( spl0_55
    | spl0_51
    | ~ spl0_25
    | spl0_33 ),
    inference(avatar_split_clause,[],[f218,f389,f353,f472,f493]) ).

fof(f218,plain,
    ! [X70,X71,X69] :
      ( ~ c2_1(X69)
      | ~ c0_1(X69)
      | c3_1(X69)
      | ~ ndr1_0
      | ~ c2_1(X70)
      | ~ c1_1(X70)
      | c0_1(X70)
      | c3_1(X71)
      | c2_1(X71)
      | c0_1(X71) ),
    inference(duplicate_literal_removal,[],[f147]) ).

fof(f147,plain,
    ! [X70,X71,X69] :
      ( ~ c2_1(X69)
      | ~ c0_1(X69)
      | c3_1(X69)
      | ~ ndr1_0
      | ~ c2_1(X70)
      | ~ c1_1(X70)
      | c0_1(X70)
      | ~ ndr1_0
      | c3_1(X71)
      | c2_1(X71)
      | c0_1(X71)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f496,plain,
    ( spl0_55
    | ~ spl0_25
    | spl0_47
    | spl0_23 ),
    inference(avatar_split_clause,[],[f219,f343,f452,f353,f493]) ).

fof(f219,plain,
    ! [X68,X67] :
      ( hskp29
      | ~ c0_1(X67)
      | c2_1(X67)
      | c1_1(X67)
      | ~ ndr1_0
      | c3_1(X68)
      | c2_1(X68)
      | c0_1(X68) ),
    inference(duplicate_literal_removal,[],[f148]) ).

fof(f148,plain,
    ! [X68,X67] :
      ( hskp29
      | ~ c0_1(X67)
      | c2_1(X67)
      | c1_1(X67)
      | ~ ndr1_0
      | c3_1(X68)
      | c2_1(X68)
      | c0_1(X68)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f495,plain,
    ( ~ spl0_25
    | spl0_55
    | spl0_15
    | spl0_3 ),
    inference(avatar_split_clause,[],[f149,f250,f306,f493,f353]) ).

fof(f149,plain,
    ! [X66] :
      ( hskp1
      | hskp10
      | c3_1(X66)
      | c2_1(X66)
      | c0_1(X66)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f491,plain,
    ( spl0_54
    | ~ spl0_25
    | spl0_34
    | spl0_1 ),
    inference(avatar_split_clause,[],[f220,f242,f393,f353,f489]) ).

fof(f220,plain,
    ! [X65,X64] :
      ( hskp11
      | ~ c1_1(X64)
      | ~ c0_1(X64)
      | c3_1(X64)
      | ~ ndr1_0
      | ~ c1_1(X65)
      | c2_1(X65)
      | c0_1(X65) ),
    inference(duplicate_literal_removal,[],[f150]) ).

fof(f150,plain,
    ! [X65,X64] :
      ( hskp11
      | ~ c1_1(X64)
      | ~ c0_1(X64)
      | c3_1(X64)
      | ~ ndr1_0
      | ~ c1_1(X65)
      | c2_1(X65)
      | c0_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f487,plain,
    ( spl0_53
    | ~ spl0_25
    | spl0_50
    | spl0_1 ),
    inference(avatar_split_clause,[],[f221,f242,f466,f353,f483]) ).

fof(f221,plain,
    ! [X62,X63] :
      ( hskp11
      | ~ c3_1(X62)
      | ~ c1_1(X62)
      | c0_1(X62)
      | ~ ndr1_0
      | ~ c3_1(X63)
      | c2_1(X63)
      | c0_1(X63) ),
    inference(duplicate_literal_removal,[],[f151]) ).

fof(f151,plain,
    ! [X62,X63] :
      ( hskp11
      | ~ c3_1(X62)
      | ~ c1_1(X62)
      | c0_1(X62)
      | ~ ndr1_0
      | ~ c3_1(X63)
      | c2_1(X63)
      | c0_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f486,plain,
    ( spl0_53
    | ~ spl0_25
    | spl0_42
    | spl0_23 ),
    inference(avatar_split_clause,[],[f222,f343,f429,f353,f483]) ).

fof(f222,plain,
    ! [X60,X61] :
      ( hskp29
      | ~ c2_1(X60)
      | ~ c0_1(X60)
      | c1_1(X60)
      | ~ ndr1_0
      | ~ c3_1(X61)
      | c2_1(X61)
      | c0_1(X61) ),
    inference(duplicate_literal_removal,[],[f152]) ).

fof(f152,plain,
    ! [X60,X61] :
      ( hskp29
      | ~ c2_1(X60)
      | ~ c0_1(X60)
      | c1_1(X60)
      | ~ ndr1_0
      | ~ c3_1(X61)
      | c2_1(X61)
      | c0_1(X61)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f485,plain,
    ( spl0_53
    | ~ spl0_25
    | spl0_40
    | spl0_19 ),
    inference(avatar_split_clause,[],[f223,f324,f419,f353,f483]) ).

fof(f223,plain,
    ! [X58,X59] :
      ( hskp12
      | ~ c3_1(X58)
      | ~ c2_1(X58)
      | c1_1(X58)
      | ~ ndr1_0
      | ~ c3_1(X59)
      | c2_1(X59)
      | c0_1(X59) ),
    inference(duplicate_literal_removal,[],[f153]) ).

fof(f153,plain,
    ! [X58,X59] :
      ( hskp12
      | ~ c3_1(X58)
      | ~ c2_1(X58)
      | c1_1(X58)
      | ~ ndr1_0
      | ~ c3_1(X59)
      | c2_1(X59)
      | c0_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f481,plain,
    ( spl0_52
    | ~ spl0_25
    | spl0_49
    | spl0_36 ),
    inference(avatar_split_clause,[],[f224,f400,f462,f353,f478]) ).

fof(f224,plain,
    ! [X56,X57] :
      ( hskp3
      | c3_1(X56)
      | c2_1(X56)
      | c1_1(X56)
      | ~ ndr1_0
      | ~ c1_1(X57)
      | c3_1(X57)
      | c0_1(X57) ),
    inference(duplicate_literal_removal,[],[f154]) ).

fof(f154,plain,
    ! [X56,X57] :
      ( hskp3
      | c3_1(X56)
      | c2_1(X56)
      | c1_1(X56)
      | ~ ndr1_0
      | ~ c1_1(X57)
      | c3_1(X57)
      | c0_1(X57)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f480,plain,
    ( spl0_52
    | spl0_47
    | ~ spl0_25
    | spl0_34 ),
    inference(avatar_split_clause,[],[f225,f393,f353,f452,f478]) ).

fof(f225,plain,
    ! [X54,X55,X53] :
      ( ~ c1_1(X53)
      | ~ c0_1(X53)
      | c3_1(X53)
      | ~ ndr1_0
      | ~ c0_1(X54)
      | c2_1(X54)
      | c1_1(X54)
      | ~ c1_1(X55)
      | c3_1(X55)
      | c0_1(X55) ),
    inference(duplicate_literal_removal,[],[f155]) ).

fof(f155,plain,
    ! [X54,X55,X53] :
      ( ~ c1_1(X53)
      | ~ c0_1(X53)
      | c3_1(X53)
      | ~ ndr1_0
      | ~ c0_1(X54)
      | c2_1(X54)
      | c1_1(X54)
      | ~ ndr1_0
      | ~ c1_1(X55)
      | c3_1(X55)
      | c0_1(X55)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f476,plain,
    ( spl0_51
    | ~ spl0_25
    | spl0_35
    | spl0_8 ),
    inference(avatar_split_clause,[],[f226,f273,f397,f353,f472]) ).

fof(f226,plain,
    ! [X51,X52] :
      ( hskp7
      | ~ c3_1(X51)
      | ~ c1_1(X51)
      | c2_1(X51)
      | ~ ndr1_0
      | ~ c2_1(X52)
      | ~ c1_1(X52)
      | c0_1(X52) ),
    inference(duplicate_literal_removal,[],[f156]) ).

fof(f156,plain,
    ! [X51,X52] :
      ( hskp7
      | ~ c3_1(X51)
      | ~ c1_1(X51)
      | c2_1(X51)
      | ~ ndr1_0
      | ~ c2_1(X52)
      | ~ c1_1(X52)
      | c0_1(X52)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f475,plain,
    ( ~ spl0_25
    | spl0_51
    | spl0_23
    | spl0_14 ),
    inference(avatar_split_clause,[],[f157,f301,f343,f472,f353]) ).

fof(f157,plain,
    ! [X50] :
      ( hskp5
      | hskp29
      | ~ c2_1(X50)
      | ~ c1_1(X50)
      | c0_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f474,plain,
    ( ~ spl0_25
    | spl0_51
    | spl0_39
    | spl0_1 ),
    inference(avatar_split_clause,[],[f158,f242,f412,f472,f353]) ).

fof(f158,plain,
    ! [X49] :
      ( hskp11
      | hskp13
      | ~ c2_1(X49)
      | ~ c1_1(X49)
      | c0_1(X49)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f470,plain,
    ( spl0_50
    | ~ spl0_25
    | spl0_47
    | spl0_1 ),
    inference(avatar_split_clause,[],[f227,f242,f452,f353,f466]) ).

fof(f227,plain,
    ! [X48,X47] :
      ( hskp11
      | ~ c0_1(X47)
      | c2_1(X47)
      | c1_1(X47)
      | ~ ndr1_0
      | ~ c3_1(X48)
      | ~ c1_1(X48)
      | c0_1(X48) ),
    inference(duplicate_literal_removal,[],[f159]) ).

fof(f159,plain,
    ! [X48,X47] :
      ( hskp11
      | ~ c0_1(X47)
      | c2_1(X47)
      | c1_1(X47)
      | ~ ndr1_0
      | ~ c3_1(X48)
      | ~ c1_1(X48)
      | c0_1(X48)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f469,plain,
    ( spl0_50
    | ~ spl0_25
    | spl0_44
    | spl0_22 ),
    inference(avatar_split_clause,[],[f228,f338,f438,f353,f466]) ).

fof(f228,plain,
    ! [X46,X45] :
      ( hskp14
      | ~ c2_1(X45)
      | c3_1(X45)
      | c1_1(X45)
      | ~ ndr1_0
      | ~ c3_1(X46)
      | ~ c1_1(X46)
      | c0_1(X46) ),
    inference(duplicate_literal_removal,[],[f160]) ).

fof(f160,plain,
    ! [X46,X45] :
      ( hskp14
      | ~ c2_1(X45)
      | c3_1(X45)
      | c1_1(X45)
      | ~ ndr1_0
      | ~ c3_1(X46)
      | ~ c1_1(X46)
      | c0_1(X46)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f468,plain,
    ( spl0_50
    | spl0_41
    | ~ spl0_25
    | spl0_30 ),
    inference(avatar_split_clause,[],[f229,f376,f353,f424,f466]) ).

fof(f229,plain,
    ! [X44,X42,X43] :
      ( ~ c2_1(X42)
      | ~ c1_1(X42)
      | c3_1(X42)
      | ~ ndr1_0
      | ~ c3_1(X43)
      | ~ c0_1(X43)
      | c1_1(X43)
      | ~ c3_1(X44)
      | ~ c1_1(X44)
      | c0_1(X44) ),
    inference(duplicate_literal_removal,[],[f161]) ).

fof(f161,plain,
    ! [X44,X42,X43] :
      ( ~ c2_1(X42)
      | ~ c1_1(X42)
      | c3_1(X42)
      | ~ ndr1_0
      | ~ c3_1(X43)
      | ~ c0_1(X43)
      | c1_1(X43)
      | ~ ndr1_0
      | ~ c3_1(X44)
      | ~ c1_1(X44)
      | c0_1(X44)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f460,plain,
    ( spl0_48
    | ~ spl0_25
    | spl0_40
    | spl0_14 ),
    inference(avatar_split_clause,[],[f231,f301,f419,f353,f456]) ).

fof(f231,plain,
    ! [X38,X39] :
      ( hskp5
      | ~ c3_1(X38)
      | ~ c2_1(X38)
      | c1_1(X38)
      | ~ ndr1_0
      | ~ c3_1(X39)
      | ~ c2_1(X39)
      | c0_1(X39) ),
    inference(duplicate_literal_removal,[],[f163]) ).

fof(f163,plain,
    ! [X38,X39] :
      ( hskp5
      | ~ c3_1(X38)
      | ~ c2_1(X38)
      | c1_1(X38)
      | ~ ndr1_0
      | ~ c3_1(X39)
      | ~ c2_1(X39)
      | c0_1(X39)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f459,plain,
    ( spl0_48
    | ~ spl0_25
    | spl0_34
    | spl0_10 ),
    inference(avatar_split_clause,[],[f232,f282,f393,f353,f456]) ).

fof(f232,plain,
    ! [X36,X37] :
      ( hskp15
      | ~ c1_1(X36)
      | ~ c0_1(X36)
      | c3_1(X36)
      | ~ ndr1_0
      | ~ c3_1(X37)
      | ~ c2_1(X37)
      | c0_1(X37) ),
    inference(duplicate_literal_removal,[],[f164]) ).

fof(f164,plain,
    ! [X36,X37] :
      ( hskp15
      | ~ c1_1(X36)
      | ~ c0_1(X36)
      | c3_1(X36)
      | ~ ndr1_0
      | ~ c3_1(X37)
      | ~ c2_1(X37)
      | c0_1(X37)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f454,plain,
    ( ~ spl0_25
    | spl0_47
    | spl0_46
    | spl0_11 ),
    inference(avatar_split_clause,[],[f166,f287,f445,f452,f353]) ).

fof(f166,plain,
    ! [X34] :
      ( hskp0
      | hskp16
      | ~ c0_1(X34)
      | c2_1(X34)
      | c1_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f450,plain,
    ( spl0_45
    | ~ spl0_25
    | spl0_40
    | spl0_22 ),
    inference(avatar_split_clause,[],[f233,f338,f419,f353,f442]) ).

fof(f233,plain,
    ! [X32,X33] :
      ( hskp14
      | ~ c3_1(X32)
      | ~ c2_1(X32)
      | c1_1(X32)
      | ~ ndr1_0
      | ~ c3_1(X33)
      | c2_1(X33)
      | c1_1(X33) ),
    inference(duplicate_literal_removal,[],[f167]) ).

fof(f167,plain,
    ! [X32,X33] :
      ( hskp14
      | ~ c3_1(X32)
      | ~ c2_1(X32)
      | c1_1(X32)
      | ~ ndr1_0
      | ~ c3_1(X33)
      | c2_1(X33)
      | c1_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f449,plain,
    ( spl0_45
    | spl0_28
    | ~ spl0_25
    | spl0_32 ),
    inference(avatar_split_clause,[],[f234,f384,f353,f366,f442]) ).

fof(f234,plain,
    ! [X31,X29,X30] :
      ( ~ c3_1(X29)
      | ~ c1_1(X29)
      | ~ c0_1(X29)
      | ~ ndr1_0
      | ~ c2_1(X30)
      | ~ c1_1(X30)
      | ~ c0_1(X30)
      | ~ c3_1(X31)
      | c2_1(X31)
      | c1_1(X31) ),
    inference(duplicate_literal_removal,[],[f168]) ).

fof(f168,plain,
    ! [X31,X29,X30] :
      ( ~ c3_1(X29)
      | ~ c1_1(X29)
      | ~ c0_1(X29)
      | ~ ndr1_0
      | ~ c2_1(X30)
      | ~ c1_1(X30)
      | ~ c0_1(X30)
      | ~ ndr1_0
      | ~ c3_1(X31)
      | c2_1(X31)
      | c1_1(X31)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f448,plain,
    ( ~ spl0_25
    | spl0_45
    | spl0_46
    | spl0_15 ),
    inference(avatar_split_clause,[],[f169,f306,f445,f442,f353]) ).

fof(f169,plain,
    ! [X28] :
      ( hskp10
      | hskp16
      | ~ c3_1(X28)
      | c2_1(X28)
      | c1_1(X28)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f436,plain,
    ( spl0_42
    | ~ spl0_25
    | spl0_37
    | spl0_43 ),
    inference(avatar_split_clause,[],[f235,f433,f405,f353,f429]) ).

fof(f235,plain,
    ! [X26,X25] :
      ( hskp2
      | ~ c3_1(X25)
      | ~ c0_1(X25)
      | c2_1(X25)
      | ~ ndr1_0
      | ~ c2_1(X26)
      | ~ c0_1(X26)
      | c1_1(X26) ),
    inference(duplicate_literal_removal,[],[f171]) ).

fof(f171,plain,
    ! [X26,X25] :
      ( hskp2
      | ~ c3_1(X25)
      | ~ c0_1(X25)
      | c2_1(X25)
      | ~ ndr1_0
      | ~ c2_1(X26)
      | ~ c0_1(X26)
      | c1_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f431,plain,
    ( spl0_42
    | ~ spl0_25
    | spl0_37
    | spl0_2 ),
    inference(avatar_split_clause,[],[f236,f246,f405,f353,f429]) ).

fof(f236,plain,
    ! [X24,X23] :
      ( hskp17
      | ~ c3_1(X23)
      | ~ c0_1(X23)
      | c2_1(X23)
      | ~ ndr1_0
      | ~ c2_1(X24)
      | ~ c0_1(X24)
      | c1_1(X24) ),
    inference(duplicate_literal_removal,[],[f172]) ).

fof(f172,plain,
    ! [X24,X23] :
      ( hskp17
      | ~ c3_1(X23)
      | ~ c0_1(X23)
      | c2_1(X23)
      | ~ ndr1_0
      | ~ c2_1(X24)
      | ~ c0_1(X24)
      | c1_1(X24)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f427,plain,
    ( ~ spl0_25
    | spl0_41
    | spl0_23
    | spl0_19 ),
    inference(avatar_split_clause,[],[f173,f324,f343,f424,f353]) ).

fof(f173,plain,
    ! [X22] :
      ( hskp12
      | hskp29
      | ~ c3_1(X22)
      | ~ c0_1(X22)
      | c1_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f422,plain,
    ( spl0_40
    | ~ spl0_25
    | spl0_30
    | spl0_16 ),
    inference(avatar_split_clause,[],[f237,f310,f376,f353,f419]) ).

fof(f237,plain,
    ! [X19,X20] :
      ( hskp18
      | ~ c2_1(X19)
      | ~ c1_1(X19)
      | c3_1(X19)
      | ~ ndr1_0
      | ~ c3_1(X20)
      | ~ c2_1(X20)
      | c1_1(X20) ),
    inference(duplicate_literal_removal,[],[f175]) ).

fof(f175,plain,
    ! [X19,X20] :
      ( hskp18
      | ~ c2_1(X19)
      | ~ c1_1(X19)
      | c3_1(X19)
      | ~ ndr1_0
      | ~ c3_1(X20)
      | ~ c2_1(X20)
      | c1_1(X20)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f421,plain,
    ( ~ spl0_25
    | spl0_40
    | spl0_27
    | spl0_4 ),
    inference(avatar_split_clause,[],[f176,f255,f360,f419,f353]) ).

fof(f176,plain,
    ! [X18] :
      ( hskp19
      | hskp28
      | ~ c3_1(X18)
      | ~ c2_1(X18)
      | c1_1(X18)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f416,plain,
    ( ~ spl0_25
    | spl0_38
    | spl0_8
    | spl0_4 ),
    inference(avatar_split_clause,[],[f178,f255,f273,f409,f353]) ).

fof(f178,plain,
    ! [X16] :
      ( hskp19
      | hskp7
      | ~ c0_1(X16)
      | c3_1(X16)
      | c2_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f391,plain,
    ( ~ spl0_25
    | spl0_33
    | spl0_13
    | spl0_3 ),
    inference(avatar_split_clause,[],[f183,f250,f296,f389,f353]) ).

fof(f183,plain,
    ! [X10] :
      ( hskp1
      | hskp8
      | ~ c2_1(X10)
      | ~ c0_1(X10)
      | c3_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f387,plain,
    ( spl0_30
    | ~ spl0_25
    | spl0_28
    | spl0_9 ),
    inference(avatar_split_clause,[],[f239,f277,f366,f353,f376]) ).

fof(f239,plain,
    ! [X8,X9] :
      ( hskp9
      | ~ c2_1(X8)
      | ~ c1_1(X8)
      | ~ c0_1(X8)
      | ~ ndr1_0
      | ~ c2_1(X9)
      | ~ c1_1(X9)
      | c3_1(X9) ),
    inference(duplicate_literal_removal,[],[f184]) ).

fof(f184,plain,
    ! [X8,X9] :
      ( hskp9
      | ~ c2_1(X8)
      | ~ c1_1(X8)
      | ~ c0_1(X8)
      | ~ ndr1_0
      | ~ c2_1(X9)
      | ~ c1_1(X9)
      | c3_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f386,plain,
    ( spl0_30
    | ~ spl0_25
    | spl0_32
    | spl0_29 ),
    inference(avatar_split_clause,[],[f240,f369,f384,f353,f376]) ).

fof(f240,plain,
    ! [X6,X7] :
      ( hskp22
      | ~ c3_1(X6)
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0
      | ~ c2_1(X7)
      | ~ c1_1(X7)
      | c3_1(X7) ),
    inference(duplicate_literal_removal,[],[f185]) ).

fof(f185,plain,
    ! [X6,X7] :
      ( hskp22
      | ~ c3_1(X6)
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0
      | ~ c2_1(X7)
      | ~ c1_1(X7)
      | c3_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f374,plain,
    ( ~ spl0_25
    | spl0_28
    | spl0_23
    | spl0_20 ),
    inference(avatar_split_clause,[],[f187,f328,f343,f366,f353]) ).

fof(f187,plain,
    ! [X4] :
      ( hskp24
      | hskp29
      | ~ c2_1(X4)
      | ~ c1_1(X4)
      | ~ c0_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f364,plain,
    ( ~ spl0_25
    | spl0_26
    | spl0_8
    | spl0_1 ),
    inference(avatar_split_clause,[],[f190,f242,f273,f357,f353]) ).

fof(f190,plain,
    ! [X1] :
      ( hskp11
      | hskp7
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f363,plain,
    ( ~ spl0_25
    | spl0_26
    | spl0_27
    | spl0_7 ),
    inference(avatar_split_clause,[],[f191,f268,f360,f357,f353]) ).

fof(f191,plain,
    ! [X0] :
      ( hskp25
      | hskp28
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f332,plain,
    ( spl0_19
    | spl0_14
    | spl0_20 ),
    inference(avatar_split_clause,[],[f195,f328,f301,f324]) ).

fof(f195,plain,
    ( hskp24
    | hskp5
    | hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f331,plain,
    ( spl0_19
    | spl0_7
    | spl0_20 ),
    inference(avatar_split_clause,[],[f196,f328,f268,f324]) ).

fof(f196,plain,
    ( hskp24
    | hskp25
    | hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f313,plain,
    ( spl0_15
    | spl0_16
    | spl0_1 ),
    inference(avatar_split_clause,[],[f198,f242,f310,f306]) ).

fof(f198,plain,
    ( hskp11
    | hskp18
    | hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f304,plain,
    ( spl0_11
    | spl0_14
    | spl0_3 ),
    inference(avatar_split_clause,[],[f199,f250,f301,f287]) ).

fof(f199,plain,
    ( hskp1
    | hskp5
    | hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f294,plain,
    ( spl0_11
    | spl0_12
    | spl0_3 ),
    inference(avatar_split_clause,[],[f201,f250,f291,f287]) ).

fof(f201,plain,
    ( hskp1
    | hskp26
    | hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f285,plain,
    ( spl0_10
    | spl0_4
    | spl0_3 ),
    inference(avatar_split_clause,[],[f202,f250,f255,f282]) ).

fof(f202,plain,
    ( hskp1
    | hskp19
    | hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f271,plain,
    ( spl0_7
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f204,f250,f246,f268]) ).

fof(f204,plain,
    ( hskp1
    | hskp17
    | hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f253,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f206,f250,f246,f242]) ).

fof(f206,plain,
    ( hskp1
    | hskp17
    | hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN481+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
% 0.15/0.35  % Computer : n025.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 17:17:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (11387)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38  % (11388)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38  % (11389)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38  % (11392)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38  % (11390)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  % (11394)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38  % (11391)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  % (11395)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  Detected minimum model sizes of [1]
% 0.22/0.38  Detected maximum model sizes of [31]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  Detected minimum model sizes of [1]
% 0.22/0.39  Detected maximum model sizes of [31]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [2]
% 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 [31]
% 0.22/0.39  TRYING [3]
% 0.22/0.39  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 [31]
% 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 [4]
% 0.22/0.40  TRYING [3]
% 0.22/0.40  TRYING [4]
% 0.22/0.40  TRYING [4]
% 0.22/0.41  TRYING [5]
% 0.22/0.41  TRYING [5]
% 0.22/0.41  TRYING [5]
% 0.22/0.41  TRYING [5]
% 0.22/0.43  % (11394)First to succeed.
% 0.22/0.45  % (11394)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11387"
% 0.22/0.45  % (11394)Refutation found. Thanks to Tanya!
% 0.22/0.45  % SZS status Theorem for theBenchmark
% 0.22/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.46  % (11394)------------------------------
% 0.22/0.46  % (11394)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.46  % (11394)Termination reason: Refutation
% 0.22/0.46  
% 0.22/0.46  % (11394)Memory used [KB]: 2245
% 0.22/0.46  % (11394)Time elapsed: 0.068 s
% 0.22/0.46  % (11394)Instructions burned: 115 (million)
% 0.22/0.46  % (11387)Success in time 0.093 s
%------------------------------------------------------------------------------