%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN505+1 : TPTP v8.2.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 08:36:26 EDT 2024

% Result   : Theorem 0.22s 0.44s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  125
% Syntax   : Number of formulae    :  651 (   1 unt;   0 def)
%            Number of atoms       : 6712 (   0 equ)
%            Maximal formula atoms :  749 (  10 avg)
%            Number of connectives : 9172 (3111   ~;4227   |;1242   &)
%                                         ( 124 <=>; 468  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  118 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  162 ( 161 usr; 158 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  863 ( 863   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3391,plain,
    $false,
    inference(avatar_sat_refutation,[],[f291,f304,f317,f326,f340,f349,f376,f381,f395,f400,f408,f412,f417,f423,f427,f442,f452,f456,f470,f474,f479,f483,f484,f490,f495,f501,f505,f507,f511,f512,f517,f521,f523,f565,f570,f575,f581,f586,f591,f592,f597,f602,f607,f629,f634,f639,f645,f650,f655,f661,f666,f671,f677,f682,f687,f757,f762,f767,f773,f778,f783,f789,f794,f799,f805,f810,f815,f837,f842,f847,f853,f858,f863,f869,f874,f879,f885,f890,f895,f901,f906,f911,f912,f917,f922,f927,f933,f938,f943,f949,f954,f959,f981,f986,f991,f997,f1002,f1029,f1039,f1061,f1066,f1071,f1072,f1077,f1087,f1199,f1263,f1314,f1328,f1366,f1437,f1543,f1687,f1753,f1755,f1840,f1843,f1864,f1903,f1905,f1933,f2101,f2128,f2172,f2175,f2237,f2273,f2368,f2396,f2448,f2461,f2529,f2604,f2688,f2689,f2690,f2791,f2818,f2847,f2851,f2934,f2948,f2953,f2989,f3001,f3016,f3019,f3038,f3056,f3069,f3082,f3104,f3160,f3191,f3215,f3239,f3255,f3283,f3305,f3367,f3390]) ).

fof(f3390,plain,
    ( ~ spl0_55
    | spl0_117
    | ~ spl0_118
    | spl0_171 ),
    inference(avatar_contradiction_clause,[],[f3389]) ).

fof(f3389,plain,
    ( $false
    | ~ spl0_55
    | spl0_117
    | ~ spl0_118
    | spl0_171 ),
    inference(subsumption_resolution,[],[f3388,f841]) ).

fof(f841,plain,
    ( c2_1(a483)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f839,plain,
    ( spl0_118
  <=> c2_1(a483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f3388,plain,
    ( ~ c2_1(a483)
    | ~ spl0_55
    | spl0_117
    | spl0_171 ),
    inference(subsumption_resolution,[],[f3378,f836]) ).

fof(f836,plain,
    ( ~ c0_1(a483)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f834]) ).

fof(f834,plain,
    ( spl0_117
  <=> c0_1(a483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f3378,plain,
    ( c0_1(a483)
    | ~ c2_1(a483)
    | ~ spl0_55
    | spl0_171 ),
    inference(resolution,[],[f504,f1955]) ).

fof(f1955,plain,
    ( ~ c3_1(a483)
    | spl0_171 ),
    inference(avatar_component_clause,[],[f1953]) ).

fof(f1953,plain,
    ( spl0_171
  <=> c3_1(a483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f504,plain,
    ( ! [X68] :
        ( c3_1(X68)
        | c0_1(X68)
        | ~ c2_1(X68) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f503,plain,
    ( spl0_55
  <=> ! [X68] :
        ( ~ c2_1(X68)
        | c0_1(X68)
        | c3_1(X68) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f3367,plain,
    ( ~ spl0_54
    | spl0_117
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(avatar_contradiction_clause,[],[f3366]) ).

fof(f3366,plain,
    ( $false
    | ~ spl0_54
    | spl0_117
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f3365,f846]) ).

fof(f846,plain,
    ( c1_1(a483)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f844,plain,
    ( spl0_119
  <=> c1_1(a483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f3365,plain,
    ( ~ c1_1(a483)
    | ~ spl0_54
    | spl0_117
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f3360,f836]) ).

fof(f3360,plain,
    ( c0_1(a483)
    | ~ c1_1(a483)
    | ~ spl0_54
    | ~ spl0_118 ),
    inference(resolution,[],[f499,f841]) ).

fof(f499,plain,
    ( ! [X65] :
        ( ~ c2_1(X65)
        | c0_1(X65)
        | ~ c1_1(X65) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f498,plain,
    ( spl0_54
  <=> ! [X65] :
        ( ~ c2_1(X65)
        | c0_1(X65)
        | ~ c1_1(X65) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f3305,plain,
    ( ~ spl0_171
    | ~ spl0_26
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f3304,f844,f839,f365,f1953]) ).

fof(f365,plain,
    ( spl0_26
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f3304,plain,
    ( ~ c3_1(a483)
    | ~ spl0_26
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f3299,f846]) ).

fof(f3299,plain,
    ( ~ c1_1(a483)
    | ~ c3_1(a483)
    | ~ spl0_26
    | ~ spl0_118 ),
    inference(resolution,[],[f366,f841]) ).

fof(f366,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f3283,plain,
    ( ~ spl0_34
    | ~ spl0_42
    | ~ spl0_43
    | spl0_111
    | ~ spl0_113 ),
    inference(avatar_contradiction_clause,[],[f3282]) ).

fof(f3282,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_42
    | ~ spl0_43
    | spl0_111
    | ~ spl0_113 ),
    inference(subsumption_resolution,[],[f3278,f804]) ).

fof(f804,plain,
    ( ~ c2_1(a487)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f802]) ).

fof(f802,plain,
    ( spl0_111
  <=> c2_1(a487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f3278,plain,
    ( c2_1(a487)
    | ~ spl0_34
    | ~ spl0_42
    | ~ spl0_43
    | ~ spl0_113 ),
    inference(resolution,[],[f3273,f814]) ).

fof(f814,plain,
    ( c0_1(a487)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f812,plain,
    ( spl0_113
  <=> c0_1(a487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f3273,plain,
    ( ! [X27] :
        ( ~ c0_1(X27)
        | c2_1(X27) )
    | ~ spl0_34
    | ~ spl0_42
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f440,f3222]) ).

fof(f3222,plain,
    ( ! [X8] :
        ( ~ c0_1(X8)
        | ~ c3_1(X8) )
    | ~ spl0_34
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f403,f446]) ).

fof(f446,plain,
    ( ! [X32] :
        ( ~ c3_1(X32)
        | c1_1(X32)
        | ~ c0_1(X32) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f445,plain,
    ( spl0_43
  <=> ! [X32] :
        ( ~ c3_1(X32)
        | c1_1(X32)
        | ~ c0_1(X32) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f403,plain,
    ( ! [X8] :
        ( ~ c0_1(X8)
        | ~ c3_1(X8)
        | ~ c1_1(X8) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f402,plain,
    ( spl0_34
  <=> ! [X8] :
        ( ~ c3_1(X8)
        | ~ c0_1(X8)
        | ~ c1_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f440,plain,
    ( ! [X27] :
        ( ~ c0_1(X27)
        | c2_1(X27)
        | c3_1(X27) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f439,plain,
    ( spl0_42
  <=> ! [X27] :
        ( ~ c0_1(X27)
        | c2_1(X27)
        | c3_1(X27) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f3255,plain,
    ( ~ spl0_177
    | ~ spl0_35
    | spl0_123
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f3254,f876,f866,f406,f2464]) ).

fof(f2464,plain,
    ( spl0_177
  <=> c2_1(a481) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f406,plain,
    ( spl0_35
  <=> ! [X10] :
        ( ~ c2_1(X10)
        | c3_1(X10)
        | ~ c1_1(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f866,plain,
    ( spl0_123
  <=> c3_1(a481) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f876,plain,
    ( spl0_125
  <=> c1_1(a481) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f3254,plain,
    ( ~ c2_1(a481)
    | ~ spl0_35
    | spl0_123
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f3253,f878]) ).

fof(f878,plain,
    ( c1_1(a481)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f3253,plain,
    ( ~ c2_1(a481)
    | ~ c1_1(a481)
    | ~ spl0_35
    | spl0_123 ),
    inference(resolution,[],[f868,f407]) ).

fof(f407,plain,
    ( ! [X10] :
        ( c3_1(X10)
        | ~ c2_1(X10)
        | ~ c1_1(X10) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f868,plain,
    ( ~ c3_1(a481)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f3239,plain,
    ( ~ spl0_28
    | ~ spl0_36
    | ~ spl0_160
    | ~ spl0_161 ),
    inference(avatar_contradiction_clause,[],[f3238]) ).

fof(f3238,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_36
    | ~ spl0_160
    | ~ spl0_161 ),
    inference(subsumption_resolution,[],[f3231,f1065]) ).

fof(f1065,plain,
    ( c2_1(a462)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1063]) ).

fof(f1063,plain,
    ( spl0_160
  <=> c2_1(a462) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f3231,plain,
    ( ~ c2_1(a462)
    | ~ spl0_28
    | ~ spl0_36
    | ~ spl0_161 ),
    inference(resolution,[],[f3221,f1070]) ).

fof(f1070,plain,
    ( c0_1(a462)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1068]) ).

fof(f1068,plain,
    ( spl0_161
  <=> c0_1(a462) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f3221,plain,
    ( ! [X12] :
        ( ~ c0_1(X12)
        | ~ c2_1(X12) )
    | ~ spl0_28
    | ~ spl0_36 ),
    inference(subsumption_resolution,[],[f411,f374]) ).

fof(f374,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f373,plain,
    ( spl0_28
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f411,plain,
    ( ! [X12] :
        ( ~ c0_1(X12)
        | c3_1(X12)
        | ~ c2_1(X12) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f410,plain,
    ( spl0_36
  <=> ! [X12] :
        ( ~ c2_1(X12)
        | c3_1(X12)
        | ~ c0_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f3215,plain,
    ( ~ spl0_26
    | ~ spl0_35
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(avatar_contradiction_clause,[],[f3214]) ).

fof(f3214,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_35
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f3209,f846]) ).

fof(f3209,plain,
    ( ~ c1_1(a483)
    | ~ spl0_26
    | ~ spl0_35
    | ~ spl0_118 ),
    inference(resolution,[],[f3196,f841]) ).

fof(f3196,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_26
    | ~ spl0_35 ),
    inference(subsumption_resolution,[],[f366,f407]) ).

fof(f3191,plain,
    ( ~ spl0_53
    | spl0_84
    | ~ spl0_85
    | ~ spl0_86 ),
    inference(avatar_contradiction_clause,[],[f3190]) ).

fof(f3190,plain,
    ( $false
    | ~ spl0_53
    | spl0_84
    | ~ spl0_85
    | ~ spl0_86 ),
    inference(subsumption_resolution,[],[f3189,f670]) ).

fof(f670,plain,
    ( c1_1(a545)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f668,plain,
    ( spl0_86
  <=> c1_1(a545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f3189,plain,
    ( ~ c1_1(a545)
    | ~ spl0_53
    | spl0_84
    | ~ spl0_85 ),
    inference(subsumption_resolution,[],[f3177,f660]) ).

fof(f660,plain,
    ( ~ c0_1(a545)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f658,plain,
    ( spl0_84
  <=> c0_1(a545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f3177,plain,
    ( c0_1(a545)
    | ~ c1_1(a545)
    | ~ spl0_53
    | ~ spl0_85 ),
    inference(resolution,[],[f494,f665]) ).

fof(f665,plain,
    ( c3_1(a545)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f663,plain,
    ( spl0_85
  <=> c3_1(a545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f494,plain,
    ( ! [X62] :
        ( ~ c3_1(X62)
        | c0_1(X62)
        | ~ c1_1(X62) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f493,plain,
    ( spl0_53
  <=> ! [X62] :
        ( ~ c3_1(X62)
        | c0_1(X62)
        | ~ c1_1(X62) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f3160,plain,
    ( ~ spl0_35
    | ~ spl0_46
    | ~ spl0_50
    | spl0_147
    | spl0_148 ),
    inference(avatar_contradiction_clause,[],[f3159]) ).

fof(f3159,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_46
    | ~ spl0_50
    | spl0_147
    | spl0_148 ),
    inference(subsumption_resolution,[],[f3150,f1001]) ).

fof(f1001,plain,
    ( ~ c1_1(a466)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f999]) ).

fof(f999,plain,
    ( spl0_148
  <=> c1_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f3150,plain,
    ( c1_1(a466)
    | ~ spl0_35
    | ~ spl0_46
    | ~ spl0_50
    | spl0_147 ),
    inference(resolution,[],[f3147,f996]) ).

fof(f996,plain,
    ( ~ c3_1(a466)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f994]) ).

fof(f994,plain,
    ( spl0_147
  <=> c3_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f3147,plain,
    ( ! [X48] :
        ( c3_1(X48)
        | c1_1(X48) )
    | ~ spl0_35
    | ~ spl0_46
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f478,f3097]) ).

fof(f3097,plain,
    ( ! [X37] :
        ( ~ c2_1(X37)
        | c3_1(X37) )
    | ~ spl0_35
    | ~ spl0_46 ),
    inference(subsumption_resolution,[],[f459,f407]) ).

fof(f459,plain,
    ( ! [X37] :
        ( ~ c2_1(X37)
        | c1_1(X37)
        | c3_1(X37) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f458,plain,
    ( spl0_46
  <=> ! [X37] :
        ( ~ c2_1(X37)
        | c1_1(X37)
        | c3_1(X37) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f478,plain,
    ( ! [X48] :
        ( c3_1(X48)
        | c1_1(X48)
        | c2_1(X48) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f477,plain,
    ( spl0_50
  <=> ! [X48] :
        ( c3_1(X48)
        | c1_1(X48)
        | c2_1(X48) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f3104,plain,
    ( spl0_169
    | ~ spl0_35
    | ~ spl0_46
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f3098,f1063,f458,f406,f1866]) ).

fof(f1866,plain,
    ( spl0_169
  <=> c3_1(a462) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f3098,plain,
    ( c3_1(a462)
    | ~ spl0_35
    | ~ spl0_46
    | ~ spl0_160 ),
    inference(resolution,[],[f3097,f1065]) ).

fof(f3082,plain,
    ( ~ spl0_172
    | ~ spl0_30
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f3081,f572,f567,f383,f2041]) ).

fof(f2041,plain,
    ( spl0_172
  <=> c2_1(a529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f383,plain,
    ( spl0_30
  <=> ! [X4] :
        ( ~ c2_1(X4)
        | ~ c0_1(X4)
        | ~ c1_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f567,plain,
    ( spl0_67
  <=> c1_1(a529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f572,plain,
    ( spl0_68
  <=> c0_1(a529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f3081,plain,
    ( ~ c2_1(a529)
    | ~ spl0_30
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(subsumption_resolution,[],[f3080,f569]) ).

fof(f569,plain,
    ( c1_1(a529)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f3080,plain,
    ( ~ c2_1(a529)
    | ~ c1_1(a529)
    | ~ spl0_30
    | ~ spl0_68 ),
    inference(resolution,[],[f384,f574]) ).

fof(f574,plain,
    ( c0_1(a529)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f384,plain,
    ( ! [X4] :
        ( ~ c0_1(X4)
        | ~ c2_1(X4)
        | ~ c1_1(X4) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f3069,plain,
    ( ~ spl0_169
    | ~ spl0_28
    | ~ spl0_160
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f3068,f1068,f1063,f373,f1866]) ).

fof(f3068,plain,
    ( ~ c3_1(a462)
    | ~ spl0_28
    | ~ spl0_160
    | ~ spl0_161 ),
    inference(subsumption_resolution,[],[f3059,f1065]) ).

fof(f3059,plain,
    ( ~ c3_1(a462)
    | ~ c2_1(a462)
    | ~ spl0_28
    | ~ spl0_161 ),
    inference(resolution,[],[f374,f1070]) ).

fof(f3056,plain,
    ( spl0_168
    | ~ spl0_43
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f3055,f956,f951,f445,f1833]) ).

fof(f1833,plain,
    ( spl0_168
  <=> c1_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f951,plain,
    ( spl0_139
  <=> c3_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f956,plain,
    ( spl0_140
  <=> c0_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f3055,plain,
    ( c1_1(a471)
    | ~ spl0_43
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f3054,f958]) ).

fof(f958,plain,
    ( c0_1(a471)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f3054,plain,
    ( c1_1(a471)
    | ~ c0_1(a471)
    | ~ spl0_43
    | ~ spl0_139 ),
    inference(resolution,[],[f953,f446]) ).

fof(f953,plain,
    ( c3_1(a471)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f3038,plain,
    ( spl0_172
    | ~ spl0_38
    | ~ spl0_66
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f3037,f572,f562,f421,f2041]) ).

fof(f421,plain,
    ( spl0_38
  <=> ! [X20] :
        ( ~ c3_1(X20)
        | c2_1(X20)
        | ~ c0_1(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f562,plain,
    ( spl0_66
  <=> c3_1(a529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f3037,plain,
    ( c2_1(a529)
    | ~ spl0_38
    | ~ spl0_66
    | ~ spl0_68 ),
    inference(subsumption_resolution,[],[f3032,f564]) ).

fof(f564,plain,
    ( c3_1(a529)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f3032,plain,
    ( c2_1(a529)
    | ~ c3_1(a529)
    | ~ spl0_38
    | ~ spl0_68 ),
    inference(resolution,[],[f422,f574]) ).

fof(f422,plain,
    ( ! [X20] :
        ( ~ c0_1(X20)
        | c2_1(X20)
        | ~ c3_1(X20) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f3019,plain,
    ( ~ spl0_37
    | spl0_81
    | ~ spl0_82
    | ~ spl0_83 ),
    inference(avatar_contradiction_clause,[],[f3018]) ).

fof(f3018,plain,
    ( $false
    | ~ spl0_37
    | spl0_81
    | ~ spl0_82
    | ~ spl0_83 ),
    inference(subsumption_resolution,[],[f3017,f654]) ).

fof(f654,plain,
    ( c0_1(a559)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f652,plain,
    ( spl0_83
  <=> c0_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f3017,plain,
    ( ~ c0_1(a559)
    | ~ spl0_37
    | spl0_81
    | ~ spl0_82 ),
    inference(subsumption_resolution,[],[f3009,f644]) ).

fof(f644,plain,
    ( ~ c3_1(a559)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f642,plain,
    ( spl0_81
  <=> c3_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f3009,plain,
    ( c3_1(a559)
    | ~ c0_1(a559)
    | ~ spl0_37
    | ~ spl0_82 ),
    inference(resolution,[],[f416,f649]) ).

fof(f649,plain,
    ( c1_1(a559)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f647,plain,
    ( spl0_82
  <=> c1_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f416,plain,
    ( ! [X15] :
        ( ~ c1_1(X15)
        | c3_1(X15)
        | ~ c0_1(X15) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f415,plain,
    ( spl0_37
  <=> ! [X15] :
        ( ~ c1_1(X15)
        | c3_1(X15)
        | ~ c0_1(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f3016,plain,
    ( ~ spl0_37
    | ~ spl0_88
    | ~ spl0_89
    | spl0_163 ),
    inference(avatar_contradiction_clause,[],[f3015]) ).

fof(f3015,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_88
    | ~ spl0_89
    | spl0_163 ),
    inference(subsumption_resolution,[],[f3014,f686]) ).

fof(f686,plain,
    ( c0_1(a525)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f684,plain,
    ( spl0_89
  <=> c0_1(a525) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f3014,plain,
    ( ~ c0_1(a525)
    | ~ spl0_37
    | ~ spl0_88
    | spl0_163 ),
    inference(subsumption_resolution,[],[f3007,f1184]) ).

fof(f1184,plain,
    ( ~ c3_1(a525)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f1182]) ).

fof(f1182,plain,
    ( spl0_163
  <=> c3_1(a525) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f3007,plain,
    ( c3_1(a525)
    | ~ c0_1(a525)
    | ~ spl0_37
    | ~ spl0_88 ),
    inference(resolution,[],[f416,f681]) ).

fof(f681,plain,
    ( c1_1(a525)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f679,plain,
    ( spl0_88
  <=> c1_1(a525) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f3001,plain,
    ( ~ spl0_125
    | ~ spl0_26
    | ~ spl0_35
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f2997,f2464,f406,f365,f876]) ).

fof(f2997,plain,
    ( ~ c1_1(a481)
    | ~ spl0_26
    | ~ spl0_35
    | ~ spl0_177 ),
    inference(resolution,[],[f2946,f2465]) ).

fof(f2465,plain,
    ( c2_1(a481)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f2464]) ).

fof(f2946,plain,
    ( ! [X10] :
        ( ~ c2_1(X10)
        | ~ c1_1(X10) )
    | ~ spl0_26
    | ~ spl0_35 ),
    inference(subsumption_resolution,[],[f407,f366]) ).

fof(f2989,plain,
    ( spl0_178
    | ~ spl0_52
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2988,f924,f919,f486,f2950]) ).

fof(f2950,plain,
    ( spl0_178
  <=> c0_1(a477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f486,plain,
    ( spl0_52
  <=> ! [X53] :
        ( ~ c3_1(X53)
        | c0_1(X53)
        | ~ c2_1(X53) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f919,plain,
    ( spl0_133
  <=> c3_1(a477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f924,plain,
    ( spl0_134
  <=> c2_1(a477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2988,plain,
    ( c0_1(a477)
    | ~ spl0_52
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f2986,f921]) ).

fof(f921,plain,
    ( c3_1(a477)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f2986,plain,
    ( c0_1(a477)
    | ~ c3_1(a477)
    | ~ spl0_52
    | ~ spl0_134 ),
    inference(resolution,[],[f926,f487]) ).

fof(f487,plain,
    ( ! [X53] :
        ( ~ c2_1(X53)
        | c0_1(X53)
        | ~ c3_1(X53) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f926,plain,
    ( c2_1(a477)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f2953,plain,
    ( ~ spl0_178
    | spl0_132
    | ~ spl0_43
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2858,f919,f445,f914,f2950]) ).

fof(f914,plain,
    ( spl0_132
  <=> c1_1(a477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f2858,plain,
    ( c1_1(a477)
    | ~ c0_1(a477)
    | ~ spl0_43
    | ~ spl0_133 ),
    inference(resolution,[],[f446,f921]) ).

fof(f2948,plain,
    ( spl0_159
    | ~ spl0_43
    | ~ spl0_161
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f2947,f1866,f1068,f445,f1058]) ).

fof(f1058,plain,
    ( spl0_159
  <=> c1_1(a462) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f2947,plain,
    ( c1_1(a462)
    | ~ spl0_43
    | ~ spl0_161
    | ~ spl0_169 ),
    inference(subsumption_resolution,[],[f2853,f1070]) ).

fof(f2853,plain,
    ( c1_1(a462)
    | ~ c0_1(a462)
    | ~ spl0_43
    | ~ spl0_169 ),
    inference(resolution,[],[f446,f1867]) ).

fof(f1867,plain,
    ( c3_1(a462)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1866]) ).

fof(f2934,plain,
    ( spl0_108
    | ~ spl0_52
    | ~ spl0_109
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2933,f796,f791,f486,f786]) ).

fof(f786,plain,
    ( spl0_108
  <=> c0_1(a493) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f791,plain,
    ( spl0_109
  <=> c3_1(a493) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f796,plain,
    ( spl0_110
  <=> c2_1(a493) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f2933,plain,
    ( c0_1(a493)
    | ~ spl0_52
    | ~ spl0_109
    | ~ spl0_110 ),
    inference(subsumption_resolution,[],[f2918,f793]) ).

fof(f793,plain,
    ( c3_1(a493)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f2918,plain,
    ( c0_1(a493)
    | ~ c3_1(a493)
    | ~ spl0_52
    | ~ spl0_110 ),
    inference(resolution,[],[f487,f798]) ).

fof(f798,plain,
    ( c2_1(a493)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f2851,plain,
    ( spl0_177
    | ~ spl0_40
    | spl0_123
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f2850,f876,f866,f429,f2464]) ).

fof(f429,plain,
    ( spl0_40
  <=> ! [X23] :
        ( ~ c1_1(X23)
        | c2_1(X23)
        | c3_1(X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f2850,plain,
    ( c2_1(a481)
    | ~ spl0_40
    | spl0_123
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f2834,f868]) ).

fof(f2834,plain,
    ( c2_1(a481)
    | c3_1(a481)
    | ~ spl0_40
    | ~ spl0_125 ),
    inference(resolution,[],[f430,f878]) ).

fof(f430,plain,
    ( ! [X23] :
        ( ~ c1_1(X23)
        | c2_1(X23)
        | c3_1(X23) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f2847,plain,
    ( ~ spl0_40
    | spl0_123
    | ~ spl0_125
    | spl0_177 ),
    inference(avatar_contradiction_clause,[],[f2846]) ).

fof(f2846,plain,
    ( $false
    | ~ spl0_40
    | spl0_123
    | ~ spl0_125
    | spl0_177 ),
    inference(subsumption_resolution,[],[f2845,f868]) ).

fof(f2845,plain,
    ( c3_1(a481)
    | ~ spl0_40
    | ~ spl0_125
    | spl0_177 ),
    inference(subsumption_resolution,[],[f2834,f2466]) ).

fof(f2466,plain,
    ( ~ c2_1(a481)
    | spl0_177 ),
    inference(avatar_component_clause,[],[f2464]) ).

fof(f2818,plain,
    ( ~ spl0_42
    | spl0_105
    | spl0_106
    | ~ spl0_107 ),
    inference(avatar_contradiction_clause,[],[f2817]) ).

fof(f2817,plain,
    ( $false
    | ~ spl0_42
    | spl0_105
    | spl0_106
    | ~ spl0_107 ),
    inference(subsumption_resolution,[],[f2816,f772]) ).

fof(f772,plain,
    ( ~ c3_1(a494)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f770,plain,
    ( spl0_105
  <=> c3_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f2816,plain,
    ( c3_1(a494)
    | ~ spl0_42
    | spl0_106
    | ~ spl0_107 ),
    inference(subsumption_resolution,[],[f2810,f777]) ).

fof(f777,plain,
    ( ~ c2_1(a494)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f775,plain,
    ( spl0_106
  <=> c2_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f2810,plain,
    ( c2_1(a494)
    | c3_1(a494)
    | ~ spl0_42
    | ~ spl0_107 ),
    inference(resolution,[],[f440,f782]) ).

fof(f782,plain,
    ( c0_1(a494)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f780,plain,
    ( spl0_107
  <=> c0_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2791,plain,
    ( ~ spl0_39
    | spl0_138
    | ~ spl0_140
    | ~ spl0_168 ),
    inference(avatar_contradiction_clause,[],[f2790]) ).

fof(f2790,plain,
    ( $false
    | ~ spl0_39
    | spl0_138
    | ~ spl0_140
    | ~ spl0_168 ),
    inference(subsumption_resolution,[],[f2789,f1834]) ).

fof(f1834,plain,
    ( c1_1(a471)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1833]) ).

fof(f2789,plain,
    ( ~ c1_1(a471)
    | ~ spl0_39
    | spl0_138
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f2778,f948]) ).

fof(f948,plain,
    ( ~ c2_1(a471)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f946,plain,
    ( spl0_138
  <=> c2_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2778,plain,
    ( c2_1(a471)
    | ~ c1_1(a471)
    | ~ spl0_39
    | ~ spl0_140 ),
    inference(resolution,[],[f426,f958]) ).

fof(f426,plain,
    ( ! [X22] :
        ( ~ c0_1(X22)
        | c2_1(X22)
        | ~ c1_1(X22) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f425,plain,
    ( spl0_39
  <=> ! [X22] :
        ( ~ c1_1(X22)
        | c2_1(X22)
        | ~ c0_1(X22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f2690,plain,
    ( spl0_138
    | spl0_168
    | ~ spl0_48
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2421,f951,f468,f1833,f946]) ).

fof(f468,plain,
    ( spl0_48
  <=> ! [X44] :
        ( ~ c3_1(X44)
        | c1_1(X44)
        | c2_1(X44) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f2421,plain,
    ( c1_1(a471)
    | c2_1(a471)
    | ~ spl0_48
    | ~ spl0_139 ),
    inference(resolution,[],[f953,f469]) ).

fof(f469,plain,
    ( ! [X44] :
        ( ~ c3_1(X44)
        | c1_1(X44)
        | c2_1(X44) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f2689,plain,
    ( ~ spl0_163
    | ~ spl0_38
    | spl0_87
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f2681,f684,f674,f421,f1182]) ).

fof(f674,plain,
    ( spl0_87
  <=> c2_1(a525) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f2681,plain,
    ( ~ c3_1(a525)
    | ~ spl0_38
    | spl0_87
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f2674,f676]) ).

fof(f676,plain,
    ( ~ c2_1(a525)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f2674,plain,
    ( c2_1(a525)
    | ~ c3_1(a525)
    | ~ spl0_38
    | ~ spl0_89 ),
    inference(resolution,[],[f422,f686]) ).

fof(f2688,plain,
    ( spl0_138
    | ~ spl0_38
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2687,f956,f951,f421,f946]) ).

fof(f2687,plain,
    ( c2_1(a471)
    | ~ spl0_38
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f2670,f953]) ).

fof(f2670,plain,
    ( c2_1(a471)
    | ~ c3_1(a471)
    | ~ spl0_38
    | ~ spl0_140 ),
    inference(resolution,[],[f422,f958]) ).

fof(f2604,plain,
    ( ~ spl0_118
    | ~ spl0_35
    | ~ spl0_119
    | spl0_171 ),
    inference(avatar_split_clause,[],[f2603,f1953,f844,f406,f839]) ).

fof(f2603,plain,
    ( ~ c2_1(a483)
    | ~ spl0_35
    | ~ spl0_119
    | spl0_171 ),
    inference(subsumption_resolution,[],[f2594,f846]) ).

fof(f2594,plain,
    ( ~ c2_1(a483)
    | ~ c1_1(a483)
    | ~ spl0_35
    | spl0_171 ),
    inference(resolution,[],[f407,f1955]) ).

fof(f2529,plain,
    ( ~ spl0_53
    | ~ spl0_56
    | spl0_84
    | ~ spl0_86 ),
    inference(avatar_contradiction_clause,[],[f2528]) ).

fof(f2528,plain,
    ( $false
    | ~ spl0_53
    | ~ spl0_56
    | spl0_84
    | ~ spl0_86 ),
    inference(subsumption_resolution,[],[f2521,f660]) ).

fof(f2521,plain,
    ( c0_1(a545)
    | ~ spl0_53
    | ~ spl0_56
    | ~ spl0_86 ),
    inference(resolution,[],[f2469,f670]) ).

fof(f2469,plain,
    ( ! [X62] :
        ( ~ c1_1(X62)
        | c0_1(X62) )
    | ~ spl0_53
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f494,f510]) ).

fof(f510,plain,
    ( ! [X73] :
        ( ~ c1_1(X73)
        | c0_1(X73)
        | c3_1(X73) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f509,plain,
    ( spl0_56
  <=> ! [X73] :
        ( ~ c1_1(X73)
        | c0_1(X73)
        | c3_1(X73) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f2461,plain,
    ( spl0_121
    | ~ spl0_48
    | spl0_120
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2460,f860,f850,f468,f855]) ).

fof(f855,plain,
    ( spl0_121
  <=> c1_1(a482) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f850,plain,
    ( spl0_120
  <=> c2_1(a482) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f860,plain,
    ( spl0_122
  <=> c3_1(a482) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f2460,plain,
    ( c1_1(a482)
    | ~ spl0_48
    | spl0_120
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f2417,f852]) ).

fof(f852,plain,
    ( ~ c2_1(a482)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f2417,plain,
    ( c1_1(a482)
    | c2_1(a482)
    | ~ spl0_48
    | ~ spl0_122 ),
    inference(resolution,[],[f862,f469]) ).

fof(f862,plain,
    ( c3_1(a482)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f2448,plain,
    ( ~ spl0_37
    | ~ spl0_56
    | spl0_102
    | ~ spl0_104 ),
    inference(avatar_contradiction_clause,[],[f2447]) ).

fof(f2447,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_56
    | spl0_102
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f2438,f756]) ).

fof(f756,plain,
    ( ~ c3_1(a500)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f754,plain,
    ( spl0_102
  <=> c3_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f2438,plain,
    ( c3_1(a500)
    | ~ spl0_37
    | ~ spl0_56
    | ~ spl0_104 ),
    inference(resolution,[],[f2378,f766]) ).

fof(f766,plain,
    ( c1_1(a500)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f764,plain,
    ( spl0_104
  <=> c1_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f2378,plain,
    ( ! [X15] :
        ( ~ c1_1(X15)
        | c3_1(X15) )
    | ~ spl0_37
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f416,f510]) ).

fof(f2396,plain,
    ( spl0_123
    | spl0_124
    | ~ spl0_56
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f2347,f876,f509,f871,f866]) ).

fof(f871,plain,
    ( spl0_124
  <=> c0_1(a481) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f2347,plain,
    ( c0_1(a481)
    | c3_1(a481)
    | ~ spl0_56
    | ~ spl0_125 ),
    inference(resolution,[],[f510,f878]) ).

fof(f2368,plain,
    ( ~ spl0_70
    | ~ spl0_30
    | ~ spl0_54
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f2216,f588,f498,f383,f583]) ).

fof(f583,plain,
    ( spl0_70
  <=> c2_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f588,plain,
    ( spl0_71
  <=> c1_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f2216,plain,
    ( ~ c2_1(a488)
    | ~ spl0_30
    | ~ spl0_54
    | ~ spl0_71 ),
    inference(resolution,[],[f590,f1838]) ).

fof(f1838,plain,
    ( ! [X65] :
        ( ~ c1_1(X65)
        | ~ c2_1(X65) )
    | ~ spl0_30
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f499,f384]) ).

fof(f590,plain,
    ( c1_1(a488)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f2273,plain,
    ( spl0_117
    | ~ spl0_53
    | ~ spl0_119
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f2272,f1953,f844,f493,f834]) ).

fof(f2272,plain,
    ( c0_1(a483)
    | ~ spl0_53
    | ~ spl0_119
    | ~ spl0_171 ),
    inference(subsumption_resolution,[],[f2264,f846]) ).

fof(f2264,plain,
    ( c0_1(a483)
    | ~ c1_1(a483)
    | ~ spl0_53
    | ~ spl0_171 ),
    inference(resolution,[],[f494,f1954]) ).

fof(f1954,plain,
    ( c3_1(a483)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1953]) ).

fof(f2237,plain,
    ( spl0_112
    | ~ spl0_49
    | spl0_111
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f2236,f812,f802,f472,f807]) ).

fof(f807,plain,
    ( spl0_112
  <=> c1_1(a487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f472,plain,
    ( spl0_49
  <=> ! [X45] :
        ( ~ c0_1(X45)
        | c1_1(X45)
        | c2_1(X45) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f2236,plain,
    ( c1_1(a487)
    | ~ spl0_49
    | spl0_111
    | ~ spl0_113 ),
    inference(subsumption_resolution,[],[f2227,f804]) ).

fof(f2227,plain,
    ( c1_1(a487)
    | c2_1(a487)
    | ~ spl0_49
    | ~ spl0_113 ),
    inference(resolution,[],[f473,f814]) ).

fof(f473,plain,
    ( ! [X45] :
        ( ~ c0_1(X45)
        | c1_1(X45)
        | c2_1(X45) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f2175,plain,
    ( ~ spl0_47
    | spl0_144
    | spl0_145
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f2174]) ).

fof(f2174,plain,
    ( $false
    | ~ spl0_47
    | spl0_144
    | spl0_145
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2173,f980]) ).

fof(f980,plain,
    ( ~ c3_1(a467)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f978]) ).

fof(f978,plain,
    ( spl0_144
  <=> c3_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2173,plain,
    ( c3_1(a467)
    | ~ spl0_47
    | spl0_145
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2160,f985]) ).

fof(f985,plain,
    ( ~ c1_1(a467)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f983]) ).

fof(f983,plain,
    ( spl0_145
  <=> c1_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f2160,plain,
    ( c1_1(a467)
    | c3_1(a467)
    | ~ spl0_47
    | ~ spl0_146 ),
    inference(resolution,[],[f463,f990]) ).

fof(f990,plain,
    ( c0_1(a467)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f988]) ).

fof(f988,plain,
    ( spl0_146
  <=> c0_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f463,plain,
    ( ! [X38] :
        ( ~ c0_1(X38)
        | c1_1(X38)
        | c3_1(X38) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f462,plain,
    ( spl0_47
  <=> ! [X38] :
        ( ~ c0_1(X38)
        | c1_1(X38)
        | c3_1(X38) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f2172,plain,
    ( ~ spl0_47
    | spl0_159
    | ~ spl0_161
    | spl0_169 ),
    inference(avatar_contradiction_clause,[],[f2171]) ).

fof(f2171,plain,
    ( $false
    | ~ spl0_47
    | spl0_159
    | ~ spl0_161
    | spl0_169 ),
    inference(subsumption_resolution,[],[f2170,f1868]) ).

fof(f1868,plain,
    ( ~ c3_1(a462)
    | spl0_169 ),
    inference(avatar_component_clause,[],[f1866]) ).

fof(f2170,plain,
    ( c3_1(a462)
    | ~ spl0_47
    | spl0_159
    | ~ spl0_161 ),
    inference(subsumption_resolution,[],[f2159,f1060]) ).

fof(f1060,plain,
    ( ~ c1_1(a462)
    | spl0_159 ),
    inference(avatar_component_clause,[],[f1058]) ).

fof(f2159,plain,
    ( c1_1(a462)
    | c3_1(a462)
    | ~ spl0_47
    | ~ spl0_161 ),
    inference(resolution,[],[f463,f1070]) ).

fof(f2128,plain,
    ( ~ spl0_43
    | spl0_126
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f2127]) ).

fof(f2127,plain,
    ( $false
    | ~ spl0_43
    | spl0_126
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f2126,f894]) ).

fof(f894,plain,
    ( c0_1(a479)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f892,plain,
    ( spl0_128
  <=> c0_1(a479) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f2126,plain,
    ( ~ c0_1(a479)
    | ~ spl0_43
    | spl0_126
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f2117,f884]) ).

fof(f884,plain,
    ( ~ c1_1(a479)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f882,plain,
    ( spl0_126
  <=> c1_1(a479) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f2117,plain,
    ( c1_1(a479)
    | ~ c0_1(a479)
    | ~ spl0_43
    | ~ spl0_127 ),
    inference(resolution,[],[f446,f889]) ).

fof(f889,plain,
    ( c3_1(a479)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f887,plain,
    ( spl0_127
  <=> c3_1(a479) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2101,plain,
    ( ~ spl0_34
    | ~ spl0_43
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f2100]) ).

fof(f2100,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_43
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f2094,f958]) ).

fof(f2094,plain,
    ( ~ c0_1(a471)
    | ~ spl0_34
    | ~ spl0_43
    | ~ spl0_139 ),
    inference(resolution,[],[f2092,f953]) ).

fof(f2092,plain,
    ( ! [X32] :
        ( ~ c3_1(X32)
        | ~ c0_1(X32) )
    | ~ spl0_34
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f446,f403]) ).

fof(f1933,plain,
    ( ~ spl0_118
    | ~ spl0_30
    | ~ spl0_54
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1927,f844,f498,f383,f839]) ).

fof(f1927,plain,
    ( ~ c2_1(a483)
    | ~ spl0_30
    | ~ spl0_54
    | ~ spl0_119 ),
    inference(resolution,[],[f846,f1838]) ).

fof(f1905,plain,
    ( ~ spl0_30
    | ~ spl0_51
    | ~ spl0_54
    | ~ spl0_109
    | ~ spl0_110 ),
    inference(avatar_contradiction_clause,[],[f1904]) ).

fof(f1904,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_51
    | ~ spl0_54
    | ~ spl0_109
    | ~ spl0_110 ),
    inference(subsumption_resolution,[],[f1895,f798]) ).

fof(f1895,plain,
    ( ~ c2_1(a493)
    | ~ spl0_30
    | ~ spl0_51
    | ~ spl0_54
    | ~ spl0_109 ),
    inference(resolution,[],[f1888,f793]) ).

fof(f1888,plain,
    ( ! [X49] :
        ( ~ c3_1(X49)
        | ~ c2_1(X49) )
    | ~ spl0_30
    | ~ spl0_51
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f482,f1838]) ).

fof(f482,plain,
    ( ! [X49] :
        ( ~ c3_1(X49)
        | c1_1(X49)
        | ~ c2_1(X49) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f481,plain,
    ( spl0_51
  <=> ! [X49] :
        ( ~ c3_1(X49)
        | c1_1(X49)
        | ~ c2_1(X49) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1903,plain,
    ( ~ spl0_30
    | ~ spl0_51
    | ~ spl0_54
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f1902]) ).

fof(f1902,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_51
    | ~ spl0_54
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1893,f926]) ).

fof(f1893,plain,
    ( ~ c2_1(a477)
    | ~ spl0_30
    | ~ spl0_51
    | ~ spl0_54
    | ~ spl0_133 ),
    inference(resolution,[],[f1888,f921]) ).

fof(f1864,plain,
    ( spl0_123
    | ~ spl0_30
    | ~ spl0_40
    | ~ spl0_54
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1861,f876,f498,f429,f383,f866]) ).

fof(f1861,plain,
    ( c3_1(a481)
    | ~ spl0_30
    | ~ spl0_40
    | ~ spl0_54
    | ~ spl0_125 ),
    inference(resolution,[],[f1860,f878]) ).

fof(f1860,plain,
    ( ! [X23] :
        ( ~ c1_1(X23)
        | c3_1(X23) )
    | ~ spl0_30
    | ~ spl0_40
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f430,f1838]) ).

fof(f1843,plain,
    ( spl0_153
    | ~ spl0_28
    | ~ spl0_38
    | ~ spl0_57
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1815,f1036,f514,f421,f373,f1026]) ).

fof(f1026,plain,
    ( spl0_153
  <=> c2_1(a464) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f514,plain,
    ( spl0_57
  <=> ! [X77] :
        ( ~ c3_1(X77)
        | c0_1(X77)
        | c2_1(X77) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1036,plain,
    ( spl0_155
  <=> c3_1(a464) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1815,plain,
    ( c2_1(a464)
    | ~ spl0_28
    | ~ spl0_38
    | ~ spl0_57
    | ~ spl0_155 ),
    inference(resolution,[],[f1814,f1038]) ).

fof(f1038,plain,
    ( c3_1(a464)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1036]) ).

fof(f1814,plain,
    ( ! [X77] :
        ( ~ c3_1(X77)
        | c2_1(X77) )
    | ~ spl0_28
    | ~ spl0_38
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f515,f1791]) ).

fof(f1791,plain,
    ( ! [X20] :
        ( ~ c3_1(X20)
        | ~ c0_1(X20) )
    | ~ spl0_28
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f422,f374]) ).

fof(f515,plain,
    ( ! [X77] :
        ( ~ c3_1(X77)
        | c0_1(X77)
        | c2_1(X77) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f1840,plain,
    ( spl0_135
    | ~ spl0_28
    | ~ spl0_38
    | ~ spl0_57
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1817,f935,f514,f421,f373,f930]) ).

fof(f930,plain,
    ( spl0_135
  <=> c2_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f935,plain,
    ( spl0_136
  <=> c3_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1817,plain,
    ( c2_1(a472)
    | ~ spl0_28
    | ~ spl0_38
    | ~ spl0_57
    | ~ spl0_136 ),
    inference(resolution,[],[f1814,f937]) ).

fof(f937,plain,
    ( c3_1(a472)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f1755,plain,
    ( ~ spl0_30
    | ~ spl0_39
    | ~ spl0_43
    | ~ spl0_57
    | spl0_120
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f1754]) ).

fof(f1754,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_39
    | ~ spl0_43
    | ~ spl0_57
    | spl0_120
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f1743,f852]) ).

fof(f1743,plain,
    ( c2_1(a482)
    | ~ spl0_30
    | ~ spl0_39
    | ~ spl0_43
    | ~ spl0_57
    | ~ spl0_122 ),
    inference(resolution,[],[f1737,f862]) ).

fof(f1737,plain,
    ( ! [X77] :
        ( ~ c3_1(X77)
        | c2_1(X77) )
    | ~ spl0_30
    | ~ spl0_39
    | ~ spl0_43
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f515,f1672]) ).

fof(f1672,plain,
    ( ! [X32] :
        ( ~ c0_1(X32)
        | ~ c3_1(X32) )
    | ~ spl0_30
    | ~ spl0_39
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f446,f1233]) ).

fof(f1233,plain,
    ( ! [X22] :
        ( ~ c0_1(X22)
        | ~ c1_1(X22) )
    | ~ spl0_30
    | ~ spl0_39 ),
    inference(subsumption_resolution,[],[f426,f384]) ).

fof(f1753,plain,
    ( ~ spl0_30
    | ~ spl0_39
    | ~ spl0_43
    | ~ spl0_57
    | spl0_135
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f1752]) ).

fof(f1752,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_39
    | ~ spl0_43
    | ~ spl0_57
    | spl0_135
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1741,f932]) ).

fof(f932,plain,
    ( ~ c2_1(a472)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f1741,plain,
    ( c2_1(a472)
    | ~ spl0_30
    | ~ spl0_39
    | ~ spl0_43
    | ~ spl0_57
    | ~ spl0_136 ),
    inference(resolution,[],[f1737,f937]) ).

fof(f1687,plain,
    ( ~ spl0_30
    | ~ spl0_45
    | ~ spl0_160
    | ~ spl0_161 ),
    inference(avatar_contradiction_clause,[],[f1686]) ).

fof(f1686,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_45
    | ~ spl0_160
    | ~ spl0_161 ),
    inference(subsumption_resolution,[],[f1680,f1065]) ).

fof(f1680,plain,
    ( ~ c2_1(a462)
    | ~ spl0_30
    | ~ spl0_45
    | ~ spl0_161 ),
    inference(resolution,[],[f1670,f1070]) ).

fof(f1670,plain,
    ( ! [X36] :
        ( ~ c0_1(X36)
        | ~ c2_1(X36) )
    | ~ spl0_30
    | ~ spl0_45 ),
    inference(subsumption_resolution,[],[f455,f384]) ).

fof(f455,plain,
    ( ! [X36] :
        ( ~ c2_1(X36)
        | c1_1(X36)
        | ~ c0_1(X36) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f454,plain,
    ( spl0_45
  <=> ! [X36] :
        ( ~ c2_1(X36)
        | c1_1(X36)
        | ~ c0_1(X36) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1543,plain,
    ( ~ spl0_30
    | ~ spl0_39
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(avatar_contradiction_clause,[],[f1542]) ).

fof(f1542,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_39
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(subsumption_resolution,[],[f1540,f569]) ).

fof(f1540,plain,
    ( ~ c1_1(a529)
    | ~ spl0_30
    | ~ spl0_39
    | ~ spl0_68 ),
    inference(resolution,[],[f574,f1233]) ).

fof(f1437,plain,
    ( ~ spl0_26
    | ~ spl0_58
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f1436]) ).

fof(f1436,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_58
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1429,f937]) ).

fof(f1429,plain,
    ( ~ c3_1(a472)
    | ~ spl0_26
    | ~ spl0_58
    | ~ spl0_137 ),
    inference(resolution,[],[f1428,f942]) ).

fof(f942,plain,
    ( c1_1(a472)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f940,plain,
    ( spl0_137
  <=> c1_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1428,plain,
    ( ! [X80] :
        ( ~ c1_1(X80)
        | ~ c3_1(X80) )
    | ~ spl0_26
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f520,f366]) ).

fof(f520,plain,
    ( ! [X80] :
        ( ~ c3_1(X80)
        | c2_1(X80)
        | ~ c1_1(X80) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f519]) ).

fof(f519,plain,
    ( spl0_58
  <=> ! [X80] :
        ( ~ c3_1(X80)
        | c2_1(X80)
        | ~ c1_1(X80) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f1366,plain,
    ( ~ spl0_30
    | ~ spl0_39
    | ~ spl0_53
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f1365]) ).

fof(f1365,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_39
    | ~ spl0_53
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1358,f937]) ).

fof(f1358,plain,
    ( ~ c3_1(a472)
    | ~ spl0_30
    | ~ spl0_39
    | ~ spl0_53
    | ~ spl0_137 ),
    inference(resolution,[],[f1320,f942]) ).

fof(f1320,plain,
    ( ! [X62] :
        ( ~ c1_1(X62)
        | ~ c3_1(X62) )
    | ~ spl0_30
    | ~ spl0_39
    | ~ spl0_53 ),
    inference(subsumption_resolution,[],[f494,f1233]) ).

fof(f1328,plain,
    ( ~ spl0_30
    | ~ spl0_39
    | ~ spl0_49
    | spl0_138
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1327]) ).

fof(f1327,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_39
    | ~ spl0_49
    | spl0_138
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1325,f948]) ).

fof(f1325,plain,
    ( c2_1(a471)
    | ~ spl0_30
    | ~ spl0_39
    | ~ spl0_49
    | ~ spl0_140 ),
    inference(resolution,[],[f958,f1246]) ).

fof(f1246,plain,
    ( ! [X45] :
        ( ~ c0_1(X45)
        | c2_1(X45) )
    | ~ spl0_30
    | ~ spl0_39
    | ~ spl0_49 ),
    inference(subsumption_resolution,[],[f473,f1233]) ).

fof(f1314,plain,
    ( ~ spl0_55
    | spl0_129
    | spl0_130
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f1313]) ).

fof(f1313,plain,
    ( $false
    | ~ spl0_55
    | spl0_129
    | spl0_130
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1312,f910]) ).

fof(f910,plain,
    ( c2_1(a478)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f908,plain,
    ( spl0_131
  <=> c2_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1312,plain,
    ( ~ c2_1(a478)
    | ~ spl0_55
    | spl0_129
    | spl0_130 ),
    inference(subsumption_resolution,[],[f1304,f905]) ).

fof(f905,plain,
    ( ~ c0_1(a478)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f903,plain,
    ( spl0_130
  <=> c0_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1304,plain,
    ( c0_1(a478)
    | ~ c2_1(a478)
    | ~ spl0_55
    | spl0_129 ),
    inference(resolution,[],[f504,f900]) ).

fof(f900,plain,
    ( ~ c3_1(a478)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f898]) ).

fof(f898,plain,
    ( spl0_129
  <=> c3_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1263,plain,
    ( ~ spl0_50
    | spl0_78
    | spl0_79
    | spl0_80 ),
    inference(avatar_contradiction_clause,[],[f1262]) ).

fof(f1262,plain,
    ( $false
    | ~ spl0_50
    | spl0_78
    | spl0_79
    | spl0_80 ),
    inference(subsumption_resolution,[],[f1261,f633]) ).

fof(f633,plain,
    ( ~ c2_1(a576)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f631,plain,
    ( spl0_79
  <=> c2_1(a576) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1261,plain,
    ( c2_1(a576)
    | ~ spl0_50
    | spl0_78
    | spl0_80 ),
    inference(subsumption_resolution,[],[f1258,f638]) ).

fof(f638,plain,
    ( ~ c1_1(a576)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f636,plain,
    ( spl0_80
  <=> c1_1(a576) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1258,plain,
    ( c1_1(a576)
    | c2_1(a576)
    | ~ spl0_50
    | spl0_78 ),
    inference(resolution,[],[f478,f628]) ).

fof(f628,plain,
    ( ~ c3_1(a576)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f626,plain,
    ( spl0_78
  <=> c3_1(a576) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1199,plain,
    ( ~ spl0_40
    | spl0_102
    | spl0_103
    | ~ spl0_104 ),
    inference(avatar_contradiction_clause,[],[f1198]) ).

fof(f1198,plain,
    ( $false
    | ~ spl0_40
    | spl0_102
    | spl0_103
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f1197,f756]) ).

fof(f1197,plain,
    ( c3_1(a500)
    | ~ spl0_40
    | spl0_103
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f1192,f761]) ).

fof(f761,plain,
    ( ~ c2_1(a500)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f759]) ).

fof(f759,plain,
    ( spl0_103
  <=> c2_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1192,plain,
    ( c2_1(a500)
    | c3_1(a500)
    | ~ spl0_40
    | ~ spl0_104 ),
    inference(resolution,[],[f430,f766]) ).

fof(f1087,plain,
    ( ~ spl0_30
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(avatar_contradiction_clause,[],[f1086]) ).

fof(f1086,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(subsumption_resolution,[],[f1085,f601]) ).

fof(f601,plain,
    ( c1_1(a474)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f599,plain,
    ( spl0_73
  <=> c1_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1085,plain,
    ( ~ c1_1(a474)
    | ~ spl0_30
    | ~ spl0_72
    | ~ spl0_74 ),
    inference(subsumption_resolution,[],[f1084,f596]) ).

fof(f596,plain,
    ( c2_1(a474)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f594,plain,
    ( spl0_72
  <=> c2_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1084,plain,
    ( ~ c2_1(a474)
    | ~ c1_1(a474)
    | ~ spl0_30
    | ~ spl0_74 ),
    inference(resolution,[],[f384,f606]) ).

fof(f606,plain,
    ( c0_1(a474)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f604,plain,
    ( spl0_74
  <=> c0_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1077,plain,
    ( ~ spl0_26
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(avatar_contradiction_clause,[],[f1076]) ).

fof(f1076,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(subsumption_resolution,[],[f1075,f580]) ).

fof(f580,plain,
    ( c3_1(a488)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f578,plain,
    ( spl0_69
  <=> c3_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1075,plain,
    ( ~ c3_1(a488)
    | ~ spl0_26
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(subsumption_resolution,[],[f1073,f590]) ).

fof(f1073,plain,
    ( ~ c1_1(a488)
    | ~ c3_1(a488)
    | ~ spl0_26
    | ~ spl0_70 ),
    inference(resolution,[],[f366,f585]) ).

fof(f585,plain,
    ( c2_1(a488)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f1072,plain,
    ( ~ spl0_13
    | spl0_25 ),
    inference(avatar_split_clause,[],[f7,f361,f306]) ).

fof(f306,plain,
    ( spl0_13
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f361,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,
    ( ( hskp13
      | hskp1
      | hskp22 )
    & ( hskp23
      | hskp3
      | hskp5 )
    & ( hskp27
      | hskp8
      | hskp7 )
    & ( hskp9
      | hskp12
      | hskp11 )
    & ( hskp25
      | hskp14
      | hskp0 )
    & ( hskp10
      | hskp30
      | hskp0 )
    & ( hskp23
      | hskp2
      | hskp26 )
    & ( hskp13
      | hskp16
      | hskp26 )
    & ( hskp10
      | hskp19
      | hskp31 )
    & ( hskp3
      | hskp12
      | hskp29 )
    & ( hskp9
      | hskp15
      | hskp29 )
    & ( hskp17
      | hskp8
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp25
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp14
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp24
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c2_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp6
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp8
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp14
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp18
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp18
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c2_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c2_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c1_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c2_1(X14)
          | ~ c0_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp30
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp24
      | ! [X16] :
          ( ~ c1_1(X16)
          | ~ c0_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | ~ c1_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | ~ c0_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c1_1(X19)
          | ~ c0_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp5
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X21] :
          ( ~ c2_1(X21)
          | ~ c1_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c1_1(X22)
          | ~ c0_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp9
      | ! [X23] :
          ( ~ c1_1(X23)
          | c3_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp20
      | ! [X24] :
          ( ~ c1_1(X24)
          | c3_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp11
      | ! [X25] :
          ( ~ c1_1(X25)
          | c3_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | ~ c0_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | c3_1(X27)
          | c2_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( ~ c2_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X30] :
          ( ~ c1_1(X30)
          | c3_1(X30)
          | c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c0_1(X31)
          | c3_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp17
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X33] :
          ( ~ c2_1(X33)
          | ~ c1_1(X33)
          | ~ c0_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c3_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c0_1(X35)
          | c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp30
      | ! [X37] :
          ( ~ c2_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp20
      | ! [X38] :
          ( ~ c0_1(X38)
          | c3_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp18
      | ! [X39] :
          ( ~ c0_1(X39)
          | c3_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X40] :
          ( ~ c3_1(X40)
          | ~ c1_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c0_1(X41)
          | c3_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( ~ c1_1(X42)
          | c3_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c0_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c3_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp17
      | ! [X45] :
          ( ~ c0_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp18
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X47] :
          ( ~ c1_1(X47)
          | c3_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c3_1(X48)
          | c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c3_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X51] :
          ( ~ c0_1(X51)
          | c3_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c3_1(X52)
          | c2_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp18
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp7
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( ! [X55] :
          ( ~ c3_1(X55)
          | ~ c1_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c2_1(X56)
          | ~ c1_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c2_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( ! [X58] :
          ( ~ c1_1(X58)
          | ~ c0_1(X58)
          | c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c3_1(X59)
          | c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c2_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c2_1(X61)
          | ~ c1_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X63] :
          ( ~ c0_1(X63)
          | c2_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp30
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c1_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c0_1(X66)
          | c2_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp7
      | ! [X68] :
          ( ~ c2_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp15
      | ! [X69] :
          ( ~ c2_1(X69)
          | c3_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c1_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c2_1(X71)
          | c3_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X72] :
          ( ~ c2_1(X72)
          | ~ c0_1(X72)
          | c1_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c1_1(X73)
          | c3_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( ~ c1_1(X74)
          | ~ c0_1(X74)
          | c2_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c2_1(X75)
          | c3_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c1_1(X76)
          | c3_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp5
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X78] :
          ( ~ c3_1(X78)
          | ~ c2_1(X78)
          | ~ c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X80] :
          ( ~ c3_1(X80)
          | ~ c1_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X82] :
          ( ~ c0_1(X82)
          | c2_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c3_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X84] :
          ( ~ c0_1(X84)
          | c2_1(X84)
          | c1_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp29
      | ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X87] :
          ( ~ c1_1(X87)
          | c3_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c1_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp7
      | ! [X89] :
          ( c3_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X90] :
          ( ~ c3_1(X90)
          | ~ c1_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c3_1(X91)
          | c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X92] :
          ( ~ c1_1(X92)
          | c3_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c1_1(X93)
          | c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X95] :
          ( ~ c3_1(X95)
          | ~ c2_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X97] :
          ( ~ c1_1(X97)
          | c3_1(X97)
          | c2_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c3_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( ! [X99] :
          ( ~ c0_1(X99)
          | c3_1(X99)
          | c2_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c1_1(X100)
          | c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c3_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( ~ c0_1(X102)
          | c3_1(X102)
          | c2_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c3_1(X103)
          | ~ c2_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( ! [X105] :
          ( ~ c3_1(X105)
          | ~ c0_1(X105)
          | c1_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c3_1(X106)
          | ~ c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c3_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X108] :
          ( ~ c1_1(X108)
          | c2_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c3_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( ! [X110] :
          ( ~ c1_1(X110)
          | c3_1(X110)
          | c2_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c1_1(X111)
          | c2_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c3_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X113] :
          ( c2_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X114] :
          ( c2_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X115] :
          ( ~ c2_1(X115)
          | ~ c0_1(X115)
          | c3_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c2_1(X116)
          | c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a529)
        & c1_1(a529)
        & c0_1(a529)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a488)
        & c2_1(a488)
        & c1_1(a488)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a474)
        & c1_1(a474)
        & c0_1(a474)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a469)
        & c2_1(a469)
        & c0_1(a469)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a576)
        & ~ c2_1(a576)
        & ~ c1_1(a576)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a559)
        & c1_1(a559)
        & c0_1(a559)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a545)
        & c3_1(a545)
        & c1_1(a545)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a525)
        & c1_1(a525)
        & c0_1(a525)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a521)
        & ~ c2_1(a521)
        & ~ c0_1(a521)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a519)
        & ~ c0_1(a519)
        & c1_1(a519)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a507)
        & ~ c0_1(a507)
        & c2_1(a507)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a506)
        & c2_1(a506)
        & c1_1(a506)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a500)
        & ~ c2_1(a500)
        & c1_1(a500)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a494)
        & ~ c2_1(a494)
        & c0_1(a494)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a493)
        & c3_1(a493)
        & c2_1(a493)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a487)
        & ~ c1_1(a487)
        & c0_1(a487)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a484)
        & c2_1(a484)
        & c0_1(a484)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a483)
        & c2_1(a483)
        & c1_1(a483)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a482)
        & ~ c1_1(a482)
        & c3_1(a482)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a481)
        & ~ c0_1(a481)
        & c1_1(a481)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a479)
        & c3_1(a479)
        & c0_1(a479)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a478)
        & ~ c0_1(a478)
        & c2_1(a478)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a477)
        & c3_1(a477)
        & c2_1(a477)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a472)
        & c3_1(a472)
        & c1_1(a472)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a471)
        & c3_1(a471)
        & c0_1(a471)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a470)
        & ~ c1_1(a470)
        & ~ c0_1(a470)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a467)
        & ~ c1_1(a467)
        & c0_1(a467)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a466)
        & ~ c1_1(a466)
        & ~ c0_1(a466)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a465)
        & ~ c0_1(a465)
        & c3_1(a465)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a464)
        & ~ c0_1(a464)
        & c3_1(a464)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a463)
        & ~ c1_1(a463)
        & c2_1(a463)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a462)
        & c2_1(a462)
        & c0_1(a462)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp13
      | hskp1
      | hskp22 )
    & ( hskp23
      | hskp3
      | hskp5 )
    & ( hskp27
      | hskp8
      | hskp7 )
    & ( hskp9
      | hskp12
      | hskp11 )
    & ( hskp25
      | hskp14
      | hskp0 )
    & ( hskp10
      | hskp30
      | hskp0 )
    & ( hskp23
      | hskp2
      | hskp26 )
    & ( hskp13
      | hskp16
      | hskp26 )
    & ( hskp10
      | hskp19
      | hskp31 )
    & ( hskp3
      | hskp12
      | hskp29 )
    & ( hskp9
      | hskp15
      | hskp29 )
    & ( hskp17
      | hskp8
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp25
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp14
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp24
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c2_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp6
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp8
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp14
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp18
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp18
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c2_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c2_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c1_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c2_1(X14)
          | ~ c0_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp30
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp24
      | ! [X16] :
          ( ~ c1_1(X16)
          | ~ c0_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | ~ c1_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | ~ c0_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c1_1(X19)
          | ~ c0_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp5
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X21] :
          ( ~ c2_1(X21)
          | ~ c1_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c1_1(X22)
          | ~ c0_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp9
      | ! [X23] :
          ( ~ c1_1(X23)
          | c3_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp20
      | ! [X24] :
          ( ~ c1_1(X24)
          | c3_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp11
      | ! [X25] :
          ( ~ c1_1(X25)
          | c3_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | ~ c0_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | c3_1(X27)
          | c2_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( ~ c2_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X30] :
          ( ~ c1_1(X30)
          | c3_1(X30)
          | c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c0_1(X31)
          | c3_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp17
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X33] :
          ( ~ c2_1(X33)
          | ~ c1_1(X33)
          | ~ c0_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c3_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c0_1(X35)
          | c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp30
      | ! [X37] :
          ( ~ c2_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp20
      | ! [X38] :
          ( ~ c0_1(X38)
          | c3_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp18
      | ! [X39] :
          ( ~ c0_1(X39)
          | c3_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X40] :
          ( ~ c3_1(X40)
          | ~ c1_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c0_1(X41)
          | c3_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( ~ c1_1(X42)
          | c3_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c0_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c3_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp17
      | ! [X45] :
          ( ~ c0_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp18
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X47] :
          ( ~ c1_1(X47)
          | c3_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c3_1(X48)
          | c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c3_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X51] :
          ( ~ c0_1(X51)
          | c3_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c3_1(X52)
          | c2_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp18
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp7
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( ! [X55] :
          ( ~ c3_1(X55)
          | ~ c1_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c2_1(X56)
          | ~ c1_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c2_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( ! [X58] :
          ( ~ c1_1(X58)
          | ~ c0_1(X58)
          | c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c3_1(X59)
          | c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c2_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c2_1(X61)
          | ~ c1_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X63] :
          ( ~ c0_1(X63)
          | c2_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp30
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c1_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c0_1(X66)
          | c2_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp7
      | ! [X68] :
          ( ~ c2_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp15
      | ! [X69] :
          ( ~ c2_1(X69)
          | c3_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c1_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c2_1(X71)
          | c3_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X72] :
          ( ~ c2_1(X72)
          | ~ c0_1(X72)
          | c1_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c1_1(X73)
          | c3_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( ~ c1_1(X74)
          | ~ c0_1(X74)
          | c2_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c2_1(X75)
          | c3_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c1_1(X76)
          | c3_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp5
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X78] :
          ( ~ c3_1(X78)
          | ~ c2_1(X78)
          | ~ c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X80] :
          ( ~ c3_1(X80)
          | ~ c1_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X82] :
          ( ~ c0_1(X82)
          | c2_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c3_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X84] :
          ( ~ c0_1(X84)
          | c2_1(X84)
          | c1_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp29
      | ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X87] :
          ( ~ c1_1(X87)
          | c3_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c1_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp7
      | ! [X89] :
          ( c3_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X90] :
          ( ~ c3_1(X90)
          | ~ c1_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c3_1(X91)
          | c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X92] :
          ( ~ c1_1(X92)
          | c3_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c1_1(X93)
          | c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X95] :
          ( ~ c3_1(X95)
          | ~ c2_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X97] :
          ( ~ c1_1(X97)
          | c3_1(X97)
          | c2_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c3_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( ! [X99] :
          ( ~ c0_1(X99)
          | c3_1(X99)
          | c2_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c1_1(X100)
          | c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c3_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( ~ c0_1(X102)
          | c3_1(X102)
          | c2_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c3_1(X103)
          | ~ c2_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( ! [X105] :
          ( ~ c3_1(X105)
          | ~ c0_1(X105)
          | c1_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c3_1(X106)
          | ~ c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c3_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X108] :
          ( ~ c1_1(X108)
          | c2_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c3_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( ! [X110] :
          ( ~ c1_1(X110)
          | c3_1(X110)
          | c2_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c1_1(X111)
          | c2_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c3_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X113] :
          ( c2_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X114] :
          ( c2_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X115] :
          ( ~ c2_1(X115)
          | ~ c0_1(X115)
          | c3_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c2_1(X116)
          | c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a529)
        & c1_1(a529)
        & c0_1(a529)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a488)
        & c2_1(a488)
        & c1_1(a488)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a474)
        & c1_1(a474)
        & c0_1(a474)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a469)
        & c2_1(a469)
        & c0_1(a469)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a576)
        & ~ c2_1(a576)
        & ~ c1_1(a576)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a559)
        & c1_1(a559)
        & c0_1(a559)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a545)
        & c3_1(a545)
        & c1_1(a545)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a525)
        & c1_1(a525)
        & c0_1(a525)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a521)
        & ~ c2_1(a521)
        & ~ c0_1(a521)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a519)
        & ~ c0_1(a519)
        & c1_1(a519)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a507)
        & ~ c0_1(a507)
        & c2_1(a507)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a506)
        & c2_1(a506)
        & c1_1(a506)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a500)
        & ~ c2_1(a500)
        & c1_1(a500)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a494)
        & ~ c2_1(a494)
        & c0_1(a494)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a493)
        & c3_1(a493)
        & c2_1(a493)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a487)
        & ~ c1_1(a487)
        & c0_1(a487)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a484)
        & c2_1(a484)
        & c0_1(a484)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a483)
        & c2_1(a483)
        & c1_1(a483)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a482)
        & ~ c1_1(a482)
        & c3_1(a482)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a481)
        & ~ c0_1(a481)
        & c1_1(a481)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a479)
        & c3_1(a479)
        & c0_1(a479)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a478)
        & ~ c0_1(a478)
        & c2_1(a478)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a477)
        & c3_1(a477)
        & c2_1(a477)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a472)
        & c3_1(a472)
        & c1_1(a472)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a471)
        & c3_1(a471)
        & c0_1(a471)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a470)
        & ~ c1_1(a470)
        & ~ c0_1(a470)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a467)
        & ~ c1_1(a467)
        & c0_1(a467)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a466)
        & ~ c1_1(a466)
        & ~ c0_1(a466)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a465)
        & ~ c0_1(a465)
        & c3_1(a465)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a464)
        & ~ c0_1(a464)
        & c3_1(a464)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a463)
        & ~ c1_1(a463)
        & c2_1(a463)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a462)
        & c2_1(a462)
        & c0_1(a462)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp13
      | hskp1
      | hskp22 )
    & ( hskp23
      | hskp3
      | hskp5 )
    & ( hskp27
      | hskp8
      | hskp7 )
    & ( hskp9
      | hskp12
      | hskp11 )
    & ( hskp25
      | hskp14
      | hskp0 )
    & ( hskp10
      | hskp30
      | hskp0 )
    & ( hskp23
      | hskp2
      | hskp26 )
    & ( hskp13
      | hskp16
      | hskp26 )
    & ( hskp10
      | hskp19
      | hskp31 )
    & ( hskp3
      | hskp12
      | hskp29 )
    & ( hskp9
      | hskp15
      | hskp29 )
    & ( hskp17
      | hskp8
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp3
      | hskp25
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp25
      | hskp14
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp10
      | hskp24
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c2_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp4
      | hskp6
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | ~ c0_1(X4) ) ) )
    & ( hskp13
      | hskp8
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c1_1(X5)
            | ~ c0_1(X5) ) ) )
    & ( hskp10
      | hskp14
      | ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | ~ c1_1(X6)
            | ~ c0_1(X6) ) ) )
    & ( hskp4
      | hskp18
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c1_1(X7)
            | ~ c0_1(X7) ) ) )
    & ( hskp31
      | ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c1_1(X8)
            | ~ c0_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | ~ c1_1(X9)
            | ~ c0_1(X9) ) ) )
    & ( hskp17
      | hskp18
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c1_1(X10)
            | c3_1(X10) ) ) )
    & ( hskp7
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c2_1(X11)
            | ~ c1_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c2_1(X12)
            | ~ c0_1(X12)
            | c3_1(X12) ) ) )
    & ( hskp31
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | ~ c1_1(X13)
            | ~ c0_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c2_1(X14)
            | ~ c0_1(X14)
            | c3_1(X14) ) ) )
    & ( hskp12
      | hskp30
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | ~ c0_1(X15)
            | c3_1(X15) ) ) )
    & ( hskp8
      | hskp24
      | ! [X16] :
          ( ndr1_0
         => ( ~ c1_1(X16)
            | ~ c0_1(X16)
            | c3_1(X16) ) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c2_1(X17)
            | ~ c1_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c2_1(X18)
            | ~ c0_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c1_1(X19)
            | ~ c0_1(X19)
            | c3_1(X19) ) ) )
    & ( hskp17
      | hskp5
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c0_1(X20)
            | c2_1(X20) ) ) )
    & ( hskp29
      | ! [X21] :
          ( ndr1_0
         => ( ~ c2_1(X21)
            | ~ c1_1(X21)
            | c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c1_1(X22)
            | ~ c0_1(X22)
            | c2_1(X22) ) ) )
    & ( hskp23
      | hskp9
      | ! [X23] :
          ( ndr1_0
         => ( ~ c1_1(X23)
            | c3_1(X23)
            | c2_1(X23) ) ) )
    & ( hskp22
      | hskp20
      | ! [X24] :
          ( ndr1_0
         => ( ~ c1_1(X24)
            | c3_1(X24)
            | c2_1(X24) ) ) )
    & ( hskp9
      | hskp11
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | c3_1(X25)
            | c2_1(X25) ) ) )
    & ( hskp6
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c2_1(X26)
            | ~ c0_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | c3_1(X27)
            | c2_1(X27) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | ~ c1_1(X28)
            | ~ c0_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c0_1(X29)
            | c3_1(X29)
            | c2_1(X29) ) ) )
    & ( hskp0
      | ! [X30] :
          ( ndr1_0
         => ( ~ c1_1(X30)
            | c3_1(X30)
            | c2_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c0_1(X31)
            | c3_1(X31)
            | c2_1(X31) ) ) )
    & ( hskp21
      | hskp17
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | ~ c0_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp18
      | ! [X33] :
          ( ndr1_0
         => ( ~ c2_1(X33)
            | ~ c1_1(X33)
            | ~ c0_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | ~ c0_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp12
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c0_1(X35)
            | c2_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c2_1(X36)
            | ~ c0_1(X36)
            | c1_1(X36) ) ) )
    & ( hskp21
      | hskp30
      | ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | c3_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp21
      | hskp20
      | ! [X38] :
          ( ndr1_0
         => ( ~ c0_1(X38)
            | c3_1(X38)
            | c1_1(X38) ) ) )
    & ( hskp1
      | hskp18
      | ! [X39] :
          ( ndr1_0
         => ( ~ c0_1(X39)
            | c3_1(X39)
            | c1_1(X39) ) ) )
    & ( hskp2
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | ~ c1_1(X40)
            | ~ c0_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c0_1(X41)
            | c3_1(X41)
            | c1_1(X41) ) ) )
    & ( ! [X42] :
          ( ndr1_0
         => ( ~ c1_1(X42)
            | c3_1(X42)
            | c2_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c0_1(X43)
            | c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | c2_1(X44)
            | c1_1(X44) ) ) )
    & ( hskp9
      | hskp17
      | ! [X45] :
          ( ndr1_0
         => ( ~ c0_1(X45)
            | c2_1(X45)
            | c1_1(X45) ) ) )
    & ( hskp19
      | hskp18
      | ! [X46] :
          ( ndr1_0
         => ( ~ c0_1(X46)
            | c2_1(X46)
            | c1_1(X46) ) ) )
    & ( hskp14
      | ! [X47] :
          ( ndr1_0
         => ( ~ c1_1(X47)
            | c3_1(X47)
            | c2_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( c3_1(X48)
            | c2_1(X48)
            | c1_1(X48) ) ) )
    & ( hskp2
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c2_1(X49)
            | c1_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c3_1(X50)
            | c2_1(X50)
            | c1_1(X50) ) ) )
    & ( hskp16
      | ! [X51] :
          ( ndr1_0
         => ( ~ c0_1(X51)
            | c3_1(X51)
            | c1_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c3_1(X52)
            | c2_1(X52)
            | c1_1(X52) ) ) )
    & ( hskp6
      | hskp18
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c2_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp17
      | hskp7
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c2_1(X54)
            | c0_1(X54) ) ) )
    & ( ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c1_1(X55)
            | ~ c0_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | ~ c1_1(X56)
            | ~ c0_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c2_1(X57)
            | c0_1(X57) ) ) )
    & ( ! [X58] :
          ( ndr1_0
         => ( ~ c1_1(X58)
            | ~ c0_1(X58)
            | c3_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c3_1(X59)
            | c2_1(X59)
            | c1_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | ~ c2_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp16
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | ~ c2_1(X61)
            | ~ c1_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c1_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp5
      | ! [X63] :
          ( ndr1_0
         => ( ~ c0_1(X63)
            | c2_1(X63)
            | c1_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | ~ c1_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp1
      | hskp30
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | ~ c1_1(X65)
            | c0_1(X65) ) ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( ~ c0_1(X66)
            | c2_1(X66)
            | c1_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | ~ c1_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp16
      | hskp7
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | c3_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp1
      | hskp15
      | ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | c3_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp14
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | ~ c1_1(X70)
            | c0_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c2_1(X71)
            | c3_1(X71)
            | c0_1(X71) ) ) )
    & ( hskp13
      | ! [X72] :
          ( ndr1_0
         => ( ~ c2_1(X72)
            | ~ c0_1(X72)
            | c1_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c1_1(X73)
            | c3_1(X73)
            | c0_1(X73) ) ) )
    & ( ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | ~ c0_1(X74)
            | c2_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c2_1(X75)
            | c3_1(X75)
            | c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c1_1(X76)
            | c3_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp12
      | hskp5
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | c2_1(X77)
            | c0_1(X77) ) ) )
    & ( hskp11
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | ~ c2_1(X78)
            | ~ c1_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | c2_1(X79)
            | c0_1(X79) ) ) )
    & ( hskp10
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | ~ c1_1(X80)
            | c2_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | c2_1(X81)
            | c0_1(X81) ) ) )
    & ( hskp9
      | ! [X82] :
          ( ndr1_0
         => ( ~ c0_1(X82)
            | c2_1(X82)
            | c1_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | c2_1(X83)
            | c0_1(X83) ) ) )
    & ( hskp29
      | ! [X84] :
          ( ndr1_0
         => ( ~ c0_1(X84)
            | c2_1(X84)
            | c1_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | c2_1(X85)
            | c0_1(X85) ) ) )
    & ( hskp0
      | hskp29
      | ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | c2_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp6
      | ! [X87] :
          ( ndr1_0
         => ( ~ c1_1(X87)
            | c3_1(X87)
            | c2_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c1_1(X88)
            | c2_1(X88)
            | c0_1(X88) ) ) )
    & ( hskp8
      | hskp7
      | ! [X89] :
          ( ndr1_0
         => ( c3_1(X89)
            | c2_1(X89)
            | c0_1(X89) ) ) )
    & ( hskp6
      | ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | ~ c1_1(X90)
            | ~ c0_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( c3_1(X91)
            | c2_1(X91)
            | c0_1(X91) ) ) )
    & ( ! [X92] :
          ( ndr1_0
         => ( ~ c1_1(X92)
            | c3_1(X92)
            | c0_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c1_1(X93)
            | c2_1(X93)
            | c0_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | c2_1(X94)
            | c0_1(X94) ) ) )
    & ( hskp28
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | ~ c2_1(X95)
            | ~ c1_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | c1_1(X96)
            | c0_1(X96) ) ) )
    & ( hskp5
      | ! [X97] :
          ( ndr1_0
         => ( ~ c1_1(X97)
            | c3_1(X97)
            | c2_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | c1_1(X98)
            | c0_1(X98) ) ) )
    & ( ! [X99] :
          ( ndr1_0
         => ( ~ c0_1(X99)
            | c3_1(X99)
            | c2_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c1_1(X100)
            | c2_1(X100)
            | c0_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | c1_1(X101)
            | c0_1(X101) ) ) )
    & ( ! [X102] :
          ( ndr1_0
         => ( ~ c0_1(X102)
            | c3_1(X102)
            | c2_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | ~ c2_1(X103)
            | c1_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( ~ c2_1(X104)
            | c1_1(X104)
            | c0_1(X104) ) ) )
    & ( ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | ~ c0_1(X105)
            | c1_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c3_1(X106)
            | ~ c1_1(X106)
            | c0_1(X106) ) )
      | ! [X107] :
          ( ndr1_0
         => ( c3_1(X107)
            | c1_1(X107)
            | c0_1(X107) ) ) )
    & ( hskp5
      | ! [X108] :
          ( ndr1_0
         => ( ~ c1_1(X108)
            | c2_1(X108)
            | c0_1(X108) ) )
      | ! [X109] :
          ( ndr1_0
         => ( c3_1(X109)
            | c1_1(X109)
            | c0_1(X109) ) ) )
    & ( ! [X110] :
          ( ndr1_0
         => ( ~ c1_1(X110)
            | c3_1(X110)
            | c2_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( ~ c1_1(X111)
            | c2_1(X111)
            | c0_1(X111) ) )
      | ! [X112] :
          ( ndr1_0
         => ( c3_1(X112)
            | c1_1(X112)
            | c0_1(X112) ) ) )
    & ( hskp4
      | hskp3
      | ! [X113] :
          ( ndr1_0
         => ( c2_1(X113)
            | c1_1(X113)
            | c0_1(X113) ) ) )
    & ( hskp2
      | hskp1
      | ! [X114] :
          ( ndr1_0
         => ( c2_1(X114)
            | c1_1(X114)
            | c0_1(X114) ) ) )
    & ( hskp0
      | ! [X115] :
          ( ndr1_0
         => ( ~ c2_1(X115)
            | ~ c0_1(X115)
            | c3_1(X115) ) )
      | ! [X116] :
          ( ndr1_0
         => ( c2_1(X116)
            | c1_1(X116)
            | c0_1(X116) ) ) )
    & ( ( c3_1(a529)
        & c1_1(a529)
        & c0_1(a529)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a488)
        & c2_1(a488)
        & c1_1(a488)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a474)
        & c1_1(a474)
        & c0_1(a474)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a469)
        & c2_1(a469)
        & c0_1(a469)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a576)
        & ~ c2_1(a576)
        & ~ c1_1(a576)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a559)
        & c1_1(a559)
        & c0_1(a559)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a545)
        & c3_1(a545)
        & c1_1(a545)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a525)
        & c1_1(a525)
        & c0_1(a525)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a521)
        & ~ c2_1(a521)
        & ~ c0_1(a521)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a519)
        & ~ c0_1(a519)
        & c1_1(a519)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a507)
        & ~ c0_1(a507)
        & c2_1(a507)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a506)
        & c2_1(a506)
        & c1_1(a506)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a500)
        & ~ c2_1(a500)
        & c1_1(a500)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a494)
        & ~ c2_1(a494)
        & c0_1(a494)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a493)
        & c3_1(a493)
        & c2_1(a493)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a487)
        & ~ c1_1(a487)
        & c0_1(a487)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a484)
        & c2_1(a484)
        & c0_1(a484)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a483)
        & c2_1(a483)
        & c1_1(a483)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a482)
        & ~ c1_1(a482)
        & c3_1(a482)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a481)
        & ~ c0_1(a481)
        & c1_1(a481)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a479)
        & c3_1(a479)
        & c0_1(a479)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a478)
        & ~ c0_1(a478)
        & c2_1(a478)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a477)
        & c3_1(a477)
        & c2_1(a477)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a472)
        & c3_1(a472)
        & c1_1(a472)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a471)
        & c3_1(a471)
        & c0_1(a471)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a470)
        & ~ c1_1(a470)
        & ~ c0_1(a470)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a467)
        & ~ c1_1(a467)
        & c0_1(a467)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a466)
        & ~ c1_1(a466)
        & ~ c0_1(a466)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a465)
        & ~ c0_1(a465)
        & c3_1(a465)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a464)
        & ~ c0_1(a464)
        & c3_1(a464)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a463)
        & ~ c1_1(a463)
        & c2_1(a463)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a462)
        & c2_1(a462)
        & c0_1(a462)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp13
          | hskp1
          | hskp22 )
        & ( hskp23
          | hskp3
          | hskp5 )
        & ( hskp27
          | hskp8
          | hskp7 )
        & ( hskp9
          | hskp12
          | hskp11 )
        & ( hskp25
          | hskp14
          | hskp0 )
        & ( hskp10
          | hskp30
          | hskp0 )
        & ( hskp23
          | hskp2
          | hskp26 )
        & ( hskp13
          | hskp16
          | hskp26 )
        & ( hskp10
          | hskp19
          | hskp31 )
        & ( hskp3
          | hskp12
          | hskp29 )
        & ( hskp9
          | hskp15
          | hskp29 )
        & ( hskp17
          | hskp8
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp3
          | hskp25
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp25
          | hskp14
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp10
          | hskp24
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c2_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp4
          | hskp6
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | ~ c0_1(X4) ) ) )
        & ( hskp13
          | hskp8
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c1_1(X5)
                | ~ c0_1(X5) ) ) )
        & ( hskp10
          | hskp14
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c1_1(X6)
                | ~ c0_1(X6) ) ) )
        & ( hskp4
          | hskp18
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c1_1(X7)
                | ~ c0_1(X7) ) ) )
        & ( hskp31
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c1_1(X8)
                | ~ c0_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c1_1(X9)
                | ~ c0_1(X9) ) ) )
        & ( hskp17
          | hskp18
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c1_1(X10)
                | c3_1(X10) ) ) )
        & ( hskp7
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c2_1(X11)
                | ~ c1_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | ~ c0_1(X12)
                | c3_1(X12) ) ) )
        & ( hskp31
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c1_1(X13)
                | ~ c0_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c0_1(X14)
                | c3_1(X14) ) ) )
        & ( hskp12
          | hskp30
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | ~ c0_1(X15)
                | c3_1(X15) ) ) )
        & ( hskp8
          | hskp24
          | ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | ~ c0_1(X16)
                | c3_1(X16) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c2_1(X17)
                | ~ c1_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c2_1(X18)
                | ~ c0_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | ~ c0_1(X19)
                | c3_1(X19) ) ) )
        & ( hskp17
          | hskp5
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c0_1(X20)
                | c2_1(X20) ) ) )
        & ( hskp29
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c1_1(X21)
                | c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c1_1(X22)
                | ~ c0_1(X22)
                | c2_1(X22) ) ) )
        & ( hskp23
          | hskp9
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | c3_1(X23)
                | c2_1(X23) ) ) )
        & ( hskp22
          | hskp20
          | ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | c3_1(X24)
                | c2_1(X24) ) ) )
        & ( hskp9
          | hskp11
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c3_1(X25)
                | c2_1(X25) ) ) )
        & ( hskp6
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c2_1(X26)
                | ~ c0_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | c3_1(X27)
                | c2_1(X27) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | ~ c1_1(X28)
                | ~ c0_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | c3_1(X29)
                | c2_1(X29) ) ) )
        & ( hskp0
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c3_1(X30)
                | c2_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c3_1(X31)
                | c2_1(X31) ) ) )
        & ( hskp21
          | hskp17
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c0_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp18
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | ~ c1_1(X33)
                | ~ c0_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c0_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp12
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c0_1(X35)
                | c2_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c0_1(X36)
                | c1_1(X36) ) ) )
        & ( hskp21
          | hskp30
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | c3_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp21
          | hskp20
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | c3_1(X38)
                | c1_1(X38) ) ) )
        & ( hskp1
          | hskp18
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | c3_1(X39)
                | c1_1(X39) ) ) )
        & ( hskp2
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c1_1(X40)
                | ~ c0_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | c3_1(X41)
                | c1_1(X41) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | c3_1(X42)
                | c2_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c0_1(X43)
                | c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | c2_1(X44)
                | c1_1(X44) ) ) )
        & ( hskp9
          | hskp17
          | ! [X45] :
              ( ndr1_0
             => ( ~ c0_1(X45)
                | c2_1(X45)
                | c1_1(X45) ) ) )
        & ( hskp19
          | hskp18
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) ) )
        & ( hskp14
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | c3_1(X47)
                | c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | c2_1(X48)
                | c1_1(X48) ) ) )
        & ( hskp2
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c2_1(X49)
                | c1_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c3_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) ) )
        & ( hskp16
          | ! [X51] :
              ( ndr1_0
             => ( ~ c0_1(X51)
                | c3_1(X51)
                | c1_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | c2_1(X52)
                | c1_1(X52) ) ) )
        & ( hskp6
          | hskp18
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c2_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp17
          | hskp7
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c2_1(X54)
                | c0_1(X54) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c1_1(X55)
                | ~ c0_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c1_1(X56)
                | ~ c0_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c2_1(X57)
                | c0_1(X57) ) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c1_1(X58)
                | ~ c0_1(X58)
                | c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c3_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c2_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp16
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c2_1(X61)
                | ~ c1_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp5
          | ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | c2_1(X63)
                | c1_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp1
          | hskp30
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c1_1(X65)
                | c0_1(X65) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | c2_1(X66)
                | c1_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c1_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp16
          | hskp7
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | c3_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp1
          | hskp15
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | c3_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp14
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c1_1(X70)
                | c0_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | c3_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp13
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c0_1(X72)
                | c1_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | c3_1(X73)
                | c0_1(X73) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | ~ c0_1(X74)
                | c2_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | c3_1(X75)
                | c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | c3_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp12
          | hskp5
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c2_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp11
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c2_1(X78)
                | ~ c1_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | c2_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp10
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c1_1(X80)
                | c2_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | c2_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp9
          | ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | c2_1(X82)
                | c1_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | c2_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp29
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | c2_1(X84)
                | c1_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | c2_1(X85)
                | c0_1(X85) ) ) )
        & ( hskp0
          | hskp29
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c2_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp6
          | ! [X87] :
              ( ndr1_0
             => ( ~ c1_1(X87)
                | c3_1(X87)
                | c2_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | c2_1(X88)
                | c0_1(X88) ) ) )
        & ( hskp8
          | hskp7
          | ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | c2_1(X89)
                | c0_1(X89) ) ) )
        & ( hskp6
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c1_1(X90)
                | ~ c0_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c3_1(X91)
                | c2_1(X91)
                | c0_1(X91) ) ) )
        & ( ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | c3_1(X92)
                | c0_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | c2_1(X93)
                | c0_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | c2_1(X94)
                | c0_1(X94) ) ) )
        & ( hskp28
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c2_1(X95)
                | ~ c1_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | c1_1(X96)
                | c0_1(X96) ) ) )
        & ( hskp5
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | c3_1(X97)
                | c2_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | c1_1(X98)
                | c0_1(X98) ) ) )
        & ( ! [X99] :
              ( ndr1_0
             => ( ~ c0_1(X99)
                | c3_1(X99)
                | c2_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | c2_1(X100)
                | c0_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | c1_1(X101)
                | c0_1(X101) ) ) )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c0_1(X102)
                | c3_1(X102)
                | c2_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c2_1(X103)
                | c1_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | c1_1(X104)
                | c0_1(X104) ) ) )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c0_1(X105)
                | c1_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c1_1(X106)
                | c0_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( c3_1(X107)
                | c1_1(X107)
                | c0_1(X107) ) ) )
        & ( hskp5
          | ! [X108] :
              ( ndr1_0
             => ( ~ c1_1(X108)
                | c2_1(X108)
                | c0_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( c3_1(X109)
                | c1_1(X109)
                | c0_1(X109) ) ) )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c1_1(X110)
                | c3_1(X110)
                | c2_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | c2_1(X111)
                | c0_1(X111) ) )
          | ! [X112] :
              ( ndr1_0
             => ( c3_1(X112)
                | c1_1(X112)
                | c0_1(X112) ) ) )
        & ( hskp4
          | hskp3
          | ! [X113] :
              ( ndr1_0
             => ( c2_1(X113)
                | c1_1(X113)
                | c0_1(X113) ) ) )
        & ( hskp2
          | hskp1
          | ! [X114] :
              ( ndr1_0
             => ( c2_1(X114)
                | c1_1(X114)
                | c0_1(X114) ) ) )
        & ( hskp0
          | ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | ~ c0_1(X115)
                | c3_1(X115) ) )
          | ! [X116] :
              ( ndr1_0
             => ( c2_1(X116)
                | c1_1(X116)
                | c0_1(X116) ) ) )
        & ( ( c3_1(a529)
            & c1_1(a529)
            & c0_1(a529)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a488)
            & c2_1(a488)
            & c1_1(a488)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a474)
            & c1_1(a474)
            & c0_1(a474)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a469)
            & c2_1(a469)
            & c0_1(a469)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a576)
            & ~ c2_1(a576)
            & ~ c1_1(a576)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a559)
            & c1_1(a559)
            & c0_1(a559)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c0_1(a545)
            & c3_1(a545)
            & c1_1(a545)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a525)
            & c1_1(a525)
            & c0_1(a525)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a521)
            & ~ c2_1(a521)
            & ~ c0_1(a521)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a519)
            & ~ c0_1(a519)
            & c1_1(a519)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a507)
            & ~ c0_1(a507)
            & c2_1(a507)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a506)
            & c2_1(a506)
            & c1_1(a506)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a500)
            & ~ c2_1(a500)
            & c1_1(a500)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a494)
            & ~ c2_1(a494)
            & c0_1(a494)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c0_1(a493)
            & c3_1(a493)
            & c2_1(a493)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a487)
            & ~ c1_1(a487)
            & c0_1(a487)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a484)
            & c2_1(a484)
            & c0_1(a484)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c0_1(a483)
            & c2_1(a483)
            & c1_1(a483)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a482)
            & ~ c1_1(a482)
            & c3_1(a482)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a481)
            & ~ c0_1(a481)
            & c1_1(a481)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a479)
            & c3_1(a479)
            & c0_1(a479)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a478)
            & ~ c0_1(a478)
            & c2_1(a478)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a477)
            & c3_1(a477)
            & c2_1(a477)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a472)
            & c3_1(a472)
            & c1_1(a472)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a471)
            & c3_1(a471)
            & c0_1(a471)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a470)
            & ~ c1_1(a470)
            & ~ c0_1(a470)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a467)
            & ~ c1_1(a467)
            & c0_1(a467)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a466)
            & ~ c1_1(a466)
            & ~ c0_1(a466)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a465)
            & ~ c0_1(a465)
            & c3_1(a465)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a464)
            & ~ c0_1(a464)
            & c3_1(a464)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a463)
            & ~ c1_1(a463)
            & c2_1(a463)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a462)
            & c2_1(a462)
            & c0_1(a462)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp13
          | hskp1
          | hskp22 )
        & ( hskp23
          | hskp3
          | hskp5 )
        & ( hskp27
          | hskp8
          | hskp7 )
        & ( hskp9
          | hskp12
          | hskp11 )
        & ( hskp25
          | hskp14
          | hskp0 )
        & ( hskp10
          | hskp30
          | hskp0 )
        & ( hskp23
          | hskp2
          | hskp26 )
        & ( hskp13
          | hskp16
          | hskp26 )
        & ( hskp10
          | hskp19
          | hskp31 )
        & ( hskp3
          | hskp12
          | hskp29 )
        & ( hskp9
          | hskp15
          | hskp29 )
        & ( hskp17
          | hskp8
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c2_1(X116)
                | ~ c1_1(X116) ) ) )
        & ( hskp3
          | hskp25
          | ! [X115] :
              ( ndr1_0
             => ( ~ c3_1(X115)
                | ~ c2_1(X115)
                | ~ c0_1(X115) ) ) )
        & ( hskp25
          | hskp14
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c2_1(X114)
                | ~ c0_1(X114) ) ) )
        & ( hskp10
          | hskp24
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c2_1(X113)
                | ~ c0_1(X113) ) ) )
        & ( hskp4
          | hskp6
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c1_1(X112)
                | ~ c0_1(X112) ) ) )
        & ( hskp13
          | hskp8
          | ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | ~ c1_1(X111)
                | ~ c0_1(X111) ) ) )
        & ( hskp10
          | hskp14
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c1_1(X110)
                | ~ c0_1(X110) ) ) )
        & ( hskp4
          | hskp18
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c1_1(X109)
                | ~ c0_1(X109) ) ) )
        & ( hskp31
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c1_1(X108)
                | ~ c0_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | ~ c1_1(X107)
                | ~ c0_1(X107) ) ) )
        & ( hskp17
          | hskp18
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | ~ c1_1(X106)
                | c3_1(X106) ) ) )
        & ( hskp7
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c2_1(X105)
                | ~ c1_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | ~ c0_1(X104)
                | c3_1(X104) ) ) )
        & ( hskp31
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c1_1(X103)
                | ~ c0_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | ~ c0_1(X102)
                | c3_1(X102) ) ) )
        & ( hskp12
          | hskp30
          | ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | ~ c0_1(X101)
                | c3_1(X101) ) ) )
        & ( hskp8
          | hskp24
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | ~ c0_1(X100)
                | c3_1(X100) ) ) )
        & ( ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | ~ c1_1(X99) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c2_1(X98)
                | ~ c0_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | ~ c0_1(X97)
                | c3_1(X97) ) ) )
        & ( hskp17
          | hskp5
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c2_1(X96) ) ) )
        & ( hskp29
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c1_1(X95)
                | c3_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | ~ c0_1(X94)
                | c2_1(X94) ) ) )
        & ( hskp23
          | hskp9
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | c3_1(X93)
                | c2_1(X93) ) ) )
        & ( hskp22
          | hskp20
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | c3_1(X92)
                | c2_1(X92) ) ) )
        & ( hskp9
          | hskp11
          | ! [X91] :
              ( ndr1_0
             => ( ~ c1_1(X91)
                | c3_1(X91)
                | c2_1(X91) ) ) )
        & ( hskp6
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c2_1(X90)
                | ~ c0_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c3_1(X89)
                | c2_1(X89) ) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c1_1(X88)
                | ~ c0_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | c3_1(X87)
                | c2_1(X87) ) ) )
        & ( hskp0
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c3_1(X86)
                | c2_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c3_1(X85)
                | c2_1(X85) ) ) )
        & ( hskp21
          | hskp17
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c0_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp18
          | ! [X83] :
              ( ndr1_0
             => ( ~ c2_1(X83)
                | ~ c1_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c0_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp12
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c0_1(X81)
                | c2_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | ~ c0_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp21
          | hskp30
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | c3_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp21
          | hskp20
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c3_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp1
          | hskp18
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c3_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp2
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c1_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | c3_1(X75)
                | c1_1(X75) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | c3_1(X74)
                | c2_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c0_1(X73)
                | c1_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp9
          | hskp17
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c2_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp19
          | hskp18
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp14
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | c3_1(X69)
                | c2_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp2
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c2_1(X67)
                | c1_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c3_1(X66)
                | c2_1(X66)
                | c1_1(X66) ) ) )
        & ( hskp16
          | ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | c3_1(X65)
                | c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c3_1(X64)
                | c2_1(X64)
                | c1_1(X64) ) ) )
        & ( hskp6
          | hskp18
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp17
          | hskp7
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | c0_1(X62) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | ~ c0_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | ~ c0_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c2_1(X59)
                | c0_1(X59) ) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c1_1(X58)
                | ~ c0_1(X58)
                | c3_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c3_1(X57)
                | c2_1(X57)
                | c1_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c2_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp16
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | ~ c1_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp5
          | ! [X53] :
              ( ndr1_0
             => ( ~ c0_1(X53)
                | c2_1(X53)
                | c1_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c1_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp1
          | hskp30
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c1_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp16
          | hskp7
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp1
          | hskp15
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | c3_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp14
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c1_1(X46)
                | c0_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | c3_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp13
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | ~ c0_1(X44)
                | c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c3_1(X43)
                | c0_1(X43) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | ~ c0_1(X42)
                | c2_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | c3_1(X41)
                | c1_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | c3_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp12
          | hskp5
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp11
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c2_1(X38)
                | ~ c1_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp10
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c1_1(X36)
                | c2_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp9
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c2_1(X34)
                | c1_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp29
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | c2_1(X32)
                | c1_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp0
          | hskp29
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp6
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c3_1(X29)
                | c2_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp8
          | hskp7
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp6
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c1_1(X26)
                | ~ c0_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | c3_1(X24)
                | c0_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | c2_1(X23)
                | c0_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c3_1(X22)
                | c2_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp28
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c2_1(X21)
                | ~ c1_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp5
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c3_1(X19)
                | c2_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c0_1(X17)
                | c3_1(X17)
                | c2_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | c2_1(X16)
                | c0_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | c3_1(X14)
                | c2_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c2_1(X13)
                | c1_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c0_1(X11)
                | c1_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c1_1(X10)
                | c0_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( hskp5
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | c2_1(X8)
                | c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( ~ c1_1(X6)
                | c3_1(X6)
                | c2_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | c2_1(X5)
                | c0_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp4
          | hskp3
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( hskp2
          | hskp1
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | ~ c0_1(X1)
                | c3_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a529)
            & c1_1(a529)
            & c0_1(a529)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a488)
            & c2_1(a488)
            & c1_1(a488)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a474)
            & c1_1(a474)
            & c0_1(a474)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a469)
            & c2_1(a469)
            & c0_1(a469)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a576)
            & ~ c2_1(a576)
            & ~ c1_1(a576)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a559)
            & c1_1(a559)
            & c0_1(a559)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c0_1(a545)
            & c3_1(a545)
            & c1_1(a545)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a525)
            & c1_1(a525)
            & c0_1(a525)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a521)
            & ~ c2_1(a521)
            & ~ c0_1(a521)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a519)
            & ~ c0_1(a519)
            & c1_1(a519)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a507)
            & ~ c0_1(a507)
            & c2_1(a507)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a506)
            & c2_1(a506)
            & c1_1(a506)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a500)
            & ~ c2_1(a500)
            & c1_1(a500)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a494)
            & ~ c2_1(a494)
            & c0_1(a494)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c0_1(a493)
            & c3_1(a493)
            & c2_1(a493)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a487)
            & ~ c1_1(a487)
            & c0_1(a487)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a484)
            & c2_1(a484)
            & c0_1(a484)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c0_1(a483)
            & c2_1(a483)
            & c1_1(a483)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a482)
            & ~ c1_1(a482)
            & c3_1(a482)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a481)
            & ~ c0_1(a481)
            & c1_1(a481)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a479)
            & c3_1(a479)
            & c0_1(a479)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a478)
            & ~ c0_1(a478)
            & c2_1(a478)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a477)
            & c3_1(a477)
            & c2_1(a477)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a472)
            & c3_1(a472)
            & c1_1(a472)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a471)
            & c3_1(a471)
            & c0_1(a471)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a470)
            & ~ c1_1(a470)
            & ~ c0_1(a470)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a467)
            & ~ c1_1(a467)
            & c0_1(a467)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a466)
            & ~ c1_1(a466)
            & ~ c0_1(a466)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a465)
            & ~ c0_1(a465)
            & c3_1(a465)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a464)
            & ~ c0_1(a464)
            & c3_1(a464)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a463)
            & ~ c1_1(a463)
            & c2_1(a463)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a462)
            & c2_1(a462)
            & c0_1(a462)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp13
        | hskp1
        | hskp22 )
      & ( hskp23
        | hskp3
        | hskp5 )
      & ( hskp27
        | hskp8
        | hskp7 )
      & ( hskp9
        | hskp12
        | hskp11 )
      & ( hskp25
        | hskp14
        | hskp0 )
      & ( hskp10
        | hskp30
        | hskp0 )
      & ( hskp23
        | hskp2
        | hskp26 )
      & ( hskp13
        | hskp16
        | hskp26 )
      & ( hskp10
        | hskp19
        | hskp31 )
      & ( hskp3
        | hskp12
        | hskp29 )
      & ( hskp9
        | hskp15
        | hskp29 )
      & ( hskp17
        | hskp8
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c2_1(X116)
              | ~ c1_1(X116) ) ) )
      & ( hskp3
        | hskp25
        | ! [X115] :
            ( ndr1_0
           => ( ~ c3_1(X115)
              | ~ c2_1(X115)
              | ~ c0_1(X115) ) ) )
      & ( hskp25
        | hskp14
        | ! [X114] :
            ( ndr1_0
           => ( ~ c3_1(X114)
              | ~ c2_1(X114)
              | ~ c0_1(X114) ) ) )
      & ( hskp10
        | hskp24
        | ! [X113] :
            ( ndr1_0
           => ( ~ c3_1(X113)
              | ~ c2_1(X113)
              | ~ c0_1(X113) ) ) )
      & ( hskp4
        | hskp6
        | ! [X112] :
            ( ndr1_0
           => ( ~ c2_1(X112)
              | ~ c1_1(X112)
              | ~ c0_1(X112) ) ) )
      & ( hskp13
        | hskp8
        | ! [X111] :
            ( ndr1_0
           => ( ~ c2_1(X111)
              | ~ c1_1(X111)
              | ~ c0_1(X111) ) ) )
      & ( hskp10
        | hskp14
        | ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | ~ c1_1(X110)
              | ~ c0_1(X110) ) ) )
      & ( hskp4
        | hskp18
        | ! [X109] :
            ( ndr1_0
           => ( ~ c2_1(X109)
              | ~ c1_1(X109)
              | ~ c0_1(X109) ) ) )
      & ( hskp31
        | ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c1_1(X108)
              | ~ c0_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c2_1(X107)
              | ~ c1_1(X107)
              | ~ c0_1(X107) ) ) )
      & ( hskp17
        | hskp18
        | ! [X106] :
            ( ndr1_0
           => ( ~ c2_1(X106)
              | ~ c1_1(X106)
              | c3_1(X106) ) ) )
      & ( hskp7
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c2_1(X105)
              | ~ c1_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c2_1(X104)
              | ~ c0_1(X104)
              | c3_1(X104) ) ) )
      & ( hskp31
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c1_1(X103)
              | ~ c0_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c2_1(X102)
              | ~ c0_1(X102)
              | c3_1(X102) ) ) )
      & ( hskp12
        | hskp30
        | ! [X101] :
            ( ndr1_0
           => ( ~ c1_1(X101)
              | ~ c0_1(X101)
              | c3_1(X101) ) ) )
      & ( hskp8
        | hskp24
        | ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | ~ c0_1(X100)
              | c3_1(X100) ) ) )
      & ( ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c2_1(X99)
              | ~ c1_1(X99) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c2_1(X98)
              | ~ c0_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c1_1(X97)
              | ~ c0_1(X97)
              | c3_1(X97) ) ) )
      & ( hskp17
        | hskp5
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c0_1(X96)
              | c2_1(X96) ) ) )
      & ( hskp29
        | ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c1_1(X95)
              | c3_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c1_1(X94)
              | ~ c0_1(X94)
              | c2_1(X94) ) ) )
      & ( hskp23
        | hskp9
        | ! [X93] :
            ( ndr1_0
           => ( ~ c1_1(X93)
              | c3_1(X93)
              | c2_1(X93) ) ) )
      & ( hskp22
        | hskp20
        | ! [X92] :
            ( ndr1_0
           => ( ~ c1_1(X92)
              | c3_1(X92)
              | c2_1(X92) ) ) )
      & ( hskp9
        | hskp11
        | ! [X91] :
            ( ndr1_0
           => ( ~ c1_1(X91)
              | c3_1(X91)
              | c2_1(X91) ) ) )
      & ( hskp6
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c2_1(X90)
              | ~ c0_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | c3_1(X89)
              | c2_1(X89) ) ) )
      & ( ! [X88] :
            ( ndr1_0
           => ( ~ c2_1(X88)
              | ~ c1_1(X88)
              | ~ c0_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c0_1(X87)
              | c3_1(X87)
              | c2_1(X87) ) ) )
      & ( hskp0
        | ! [X86] :
            ( ndr1_0
           => ( ~ c1_1(X86)
              | c3_1(X86)
              | c2_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | c3_1(X85)
              | c2_1(X85) ) ) )
      & ( hskp21
        | hskp17
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c0_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp18
        | ! [X83] :
            ( ndr1_0
           => ( ~ c2_1(X83)
              | ~ c1_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c0_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp12
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c0_1(X81)
              | c2_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c2_1(X80)
              | ~ c0_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp21
        | hskp30
        | ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | c3_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp21
        | hskp20
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | c3_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp1
        | hskp18
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | c3_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp2
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c1_1(X76)
              | ~ c0_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c0_1(X75)
              | c3_1(X75)
              | c1_1(X75) ) ) )
      & ( ! [X74] :
            ( ndr1_0
           => ( ~ c1_1(X74)
              | c3_1(X74)
              | c2_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c0_1(X73)
              | c1_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp9
        | hskp17
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | c2_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp19
        | hskp18
        | ! [X70] :
            ( ndr1_0
           => ( ~ c0_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp14
        | ! [X69] :
            ( ndr1_0
           => ( ~ c1_1(X69)
              | c3_1(X69)
              | c2_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c3_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp2
        | ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c2_1(X67)
              | c1_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c3_1(X66)
              | c2_1(X66)
              | c1_1(X66) ) ) )
      & ( hskp16
        | ! [X65] :
            ( ndr1_0
           => ( ~ c0_1(X65)
              | c3_1(X65)
              | c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( c3_1(X64)
              | c2_1(X64)
              | c1_1(X64) ) ) )
      & ( hskp6
        | hskp18
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c2_1(X63)
              | c0_1(X63) ) ) )
      & ( hskp17
        | hskp7
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c2_1(X62)
              | c0_1(X62) ) ) )
      & ( ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c1_1(X61)
              | ~ c0_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | ~ c1_1(X60)
              | ~ c0_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c2_1(X59)
              | c0_1(X59) ) ) )
      & ( ! [X58] :
            ( ndr1_0
           => ( ~ c1_1(X58)
              | ~ c0_1(X58)
              | c3_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c3_1(X57)
              | c2_1(X57)
              | c1_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c2_1(X56)
              | c0_1(X56) ) ) )
      & ( hskp16
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c2_1(X55)
              | ~ c1_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c1_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp5
        | ! [X53] :
            ( ndr1_0
           => ( ~ c0_1(X53)
              | c2_1(X53)
              | c1_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | ~ c1_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp1
        | hskp30
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | ~ c1_1(X51)
              | c0_1(X51) ) ) )
      & ( ! [X50] :
            ( ndr1_0
           => ( ~ c0_1(X50)
              | c2_1(X50)
              | c1_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | ~ c1_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp16
        | hskp7
        | ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | c3_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp1
        | hskp15
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | c3_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp14
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | ~ c1_1(X46)
              | c0_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | c3_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp13
        | ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | ~ c0_1(X44)
              | c1_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c3_1(X43)
              | c0_1(X43) ) ) )
      & ( ! [X42] :
            ( ndr1_0
           => ( ~ c1_1(X42)
              | ~ c0_1(X42)
              | c2_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c2_1(X41)
              | c3_1(X41)
              | c1_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c1_1(X40)
              | c3_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp12
        | hskp5
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp11
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | ~ c2_1(X38)
              | ~ c1_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp10
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | ~ c1_1(X36)
              | c2_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp9
        | ! [X34] :
            ( ndr1_0
           => ( ~ c0_1(X34)
              | c2_1(X34)
              | c1_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp29
        | ! [X32] :
            ( ndr1_0
           => ( ~ c0_1(X32)
              | c2_1(X32)
              | c1_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp0
        | hskp29
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp6
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | c3_1(X29)
              | c2_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp8
        | hskp7
        | ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp6
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | ~ c1_1(X26)
              | ~ c0_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( ~ c1_1(X24)
              | c3_1(X24)
              | c0_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c1_1(X23)
              | c2_1(X23)
              | c0_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c3_1(X22)
              | c2_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp28
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | ~ c2_1(X21)
              | ~ c1_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp5
        | ! [X19] :
            ( ndr1_0
           => ( ~ c1_1(X19)
              | c3_1(X19)
              | c2_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( ~ c0_1(X17)
              | c3_1(X17)
              | c2_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c1_1(X16)
              | c2_1(X16)
              | c0_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( ~ c0_1(X14)
              | c3_1(X14)
              | c2_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | ~ c2_1(X13)
              | c1_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( ~ c3_1(X11)
              | ~ c0_1(X11)
              | c1_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | ~ c1_1(X10)
              | c0_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( hskp5
        | ! [X8] :
            ( ndr1_0
           => ( ~ c1_1(X8)
              | c2_1(X8)
              | c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( ~ c1_1(X6)
              | c3_1(X6)
              | c2_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( ~ c1_1(X5)
              | c2_1(X5)
              | c0_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp4
        | hskp3
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( hskp2
        | hskp1
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | ~ c0_1(X1)
              | c3_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a529)
          & c1_1(a529)
          & c0_1(a529)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c3_1(a488)
          & c2_1(a488)
          & c1_1(a488)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c2_1(a474)
          & c1_1(a474)
          & c0_1(a474)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a469)
          & c2_1(a469)
          & c0_1(a469)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c3_1(a576)
          & ~ c2_1(a576)
          & ~ c1_1(a576)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a559)
          & c1_1(a559)
          & c0_1(a559)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c0_1(a545)
          & c3_1(a545)
          & c1_1(a545)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a525)
          & c1_1(a525)
          & c0_1(a525)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a521)
          & ~ c2_1(a521)
          & ~ c0_1(a521)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c2_1(a519)
          & ~ c0_1(a519)
          & c1_1(a519)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c1_1(a507)
          & ~ c0_1(a507)
          & c2_1(a507)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a506)
          & c2_1(a506)
          & c1_1(a506)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a500)
          & ~ c2_1(a500)
          & c1_1(a500)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a494)
          & ~ c2_1(a494)
          & c0_1(a494)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c0_1(a493)
          & c3_1(a493)
          & c2_1(a493)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c2_1(a487)
          & ~ c1_1(a487)
          & c0_1(a487)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a484)
          & c2_1(a484)
          & c0_1(a484)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c0_1(a483)
          & c2_1(a483)
          & c1_1(a483)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c2_1(a482)
          & ~ c1_1(a482)
          & c3_1(a482)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a481)
          & ~ c0_1(a481)
          & c1_1(a481)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c1_1(a479)
          & c3_1(a479)
          & c0_1(a479)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a478)
          & ~ c0_1(a478)
          & c2_1(a478)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a477)
          & c3_1(a477)
          & c2_1(a477)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c2_1(a472)
          & c3_1(a472)
          & c1_1(a472)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a471)
          & c3_1(a471)
          & c0_1(a471)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a470)
          & ~ c1_1(a470)
          & ~ c0_1(a470)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a467)
          & ~ c1_1(a467)
          & c0_1(a467)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a466)
          & ~ c1_1(a466)
          & ~ c0_1(a466)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c1_1(a465)
          & ~ c0_1(a465)
          & c3_1(a465)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c2_1(a464)
          & ~ c0_1(a464)
          & c3_1(a464)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a463)
          & ~ c1_1(a463)
          & c2_1(a463)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c1_1(a462)
          & c2_1(a462)
          & c0_1(a462)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f1071,plain,
    ( ~ spl0_13
    | spl0_161 ),
    inference(avatar_split_clause,[],[f8,f1068,f306]) ).

fof(f8,plain,
    ( c0_1(a462)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1066,plain,
    ( ~ spl0_13
    | spl0_160 ),
    inference(avatar_split_clause,[],[f9,f1063,f306]) ).

fof(f9,plain,
    ( c2_1(a462)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1061,plain,
    ( ~ spl0_13
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f10,f1058,f306]) ).

fof(f10,plain,
    ( ~ c1_1(a462)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1039,plain,
    ( ~ spl0_19
    | spl0_155 ),
    inference(avatar_split_clause,[],[f16,f1036,f332]) ).

fof(f332,plain,
    ( spl0_19
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f16,plain,
    ( c3_1(a464)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1029,plain,
    ( ~ spl0_19
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f18,f1026,f332]) ).

fof(f18,plain,
    ( ~ c2_1(a464)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1002,plain,
    ( ~ spl0_32
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f25,f999,f390]) ).

fof(f390,plain,
    ( spl0_32
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f25,plain,
    ( ~ c1_1(a466)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f997,plain,
    ( ~ spl0_32
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f26,f994,f390]) ).

fof(f26,plain,
    ( ~ c3_1(a466)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f991,plain,
    ( ~ spl0_4
    | spl0_146 ),
    inference(avatar_split_clause,[],[f28,f988,f267]) ).

fof(f267,plain,
    ( spl0_4
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f28,plain,
    ( c0_1(a467)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f986,plain,
    ( ~ spl0_4
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f29,f983,f267]) ).

fof(f29,plain,
    ( ~ c1_1(a467)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f981,plain,
    ( ~ spl0_4
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f30,f978,f267]) ).

fof(f30,plain,
    ( ~ c3_1(a467)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f959,plain,
    ( ~ spl0_7
    | spl0_140 ),
    inference(avatar_split_clause,[],[f36,f956,f280]) ).

fof(f280,plain,
    ( spl0_7
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f36,plain,
    ( c0_1(a471)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f954,plain,
    ( ~ spl0_7
    | spl0_139 ),
    inference(avatar_split_clause,[],[f37,f951,f280]) ).

fof(f37,plain,
    ( c3_1(a471)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f949,plain,
    ( ~ spl0_7
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f38,f946,f280]) ).

fof(f38,plain,
    ( ~ c2_1(a471)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f943,plain,
    ( ~ spl0_8
    | spl0_137 ),
    inference(avatar_split_clause,[],[f40,f940,f284]) ).

fof(f284,plain,
    ( spl0_8
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f40,plain,
    ( c1_1(a472)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f938,plain,
    ( ~ spl0_8
    | spl0_136 ),
    inference(avatar_split_clause,[],[f41,f935,f284]) ).

fof(f41,plain,
    ( c3_1(a472)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f933,plain,
    ( ~ spl0_8
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f42,f930,f284]) ).

fof(f42,plain,
    ( ~ c2_1(a472)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f927,plain,
    ( ~ spl0_12
    | spl0_134 ),
    inference(avatar_split_clause,[],[f44,f924,f301]) ).

fof(f301,plain,
    ( spl0_12
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f44,plain,
    ( c2_1(a477)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f922,plain,
    ( ~ spl0_12
    | spl0_133 ),
    inference(avatar_split_clause,[],[f45,f919,f301]) ).

fof(f45,plain,
    ( c3_1(a477)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f917,plain,
    ( ~ spl0_12
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f46,f914,f301]) ).

fof(f46,plain,
    ( ~ c1_1(a477)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f912,plain,
    ( ~ spl0_17
    | spl0_25 ),
    inference(avatar_split_clause,[],[f47,f361,f323]) ).

fof(f323,plain,
    ( spl0_17
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

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

fof(f911,plain,
    ( ~ spl0_17
    | spl0_131 ),
    inference(avatar_split_clause,[],[f48,f908,f323]) ).

fof(f48,plain,
    ( c2_1(a478)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f906,plain,
    ( ~ spl0_17
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f49,f903,f323]) ).

fof(f49,plain,
    ( ~ c0_1(a478)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f901,plain,
    ( ~ spl0_17
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f50,f898,f323]) ).

fof(f50,plain,
    ( ~ c3_1(a478)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f895,plain,
    ( ~ spl0_10
    | spl0_128 ),
    inference(avatar_split_clause,[],[f52,f892,f293]) ).

fof(f293,plain,
    ( spl0_10
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f52,plain,
    ( c0_1(a479)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f890,plain,
    ( ~ spl0_10
    | spl0_127 ),
    inference(avatar_split_clause,[],[f53,f887,f293]) ).

fof(f53,plain,
    ( c3_1(a479)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f885,plain,
    ( ~ spl0_10
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f54,f882,f293]) ).

fof(f54,plain,
    ( ~ c1_1(a479)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f879,plain,
    ( ~ spl0_11
    | spl0_125 ),
    inference(avatar_split_clause,[],[f56,f876,f297]) ).

fof(f297,plain,
    ( spl0_11
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f56,plain,
    ( c1_1(a481)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f874,plain,
    ( ~ spl0_11
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f57,f871,f297]) ).

fof(f57,plain,
    ( ~ c0_1(a481)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f869,plain,
    ( ~ spl0_11
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f58,f866,f297]) ).

fof(f58,plain,
    ( ~ c3_1(a481)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f863,plain,
    ( ~ spl0_3
    | spl0_122 ),
    inference(avatar_split_clause,[],[f60,f860,f262]) ).

fof(f262,plain,
    ( spl0_3
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f60,plain,
    ( c3_1(a482)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f858,plain,
    ( ~ spl0_3
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f61,f855,f262]) ).

fof(f61,plain,
    ( ~ c1_1(a482)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f853,plain,
    ( ~ spl0_3
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f62,f850,f262]) ).

fof(f62,plain,
    ( ~ c2_1(a482)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f847,plain,
    ( ~ spl0_14
    | spl0_119 ),
    inference(avatar_split_clause,[],[f64,f844,f310]) ).

fof(f310,plain,
    ( spl0_14
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f64,plain,
    ( c1_1(a483)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f842,plain,
    ( ~ spl0_14
    | spl0_118 ),
    inference(avatar_split_clause,[],[f65,f839,f310]) ).

fof(f65,plain,
    ( c2_1(a483)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f837,plain,
    ( ~ spl0_14
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f66,f834,f310]) ).

fof(f66,plain,
    ( ~ c0_1(a483)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f815,plain,
    ( ~ spl0_20
    | spl0_113 ),
    inference(avatar_split_clause,[],[f72,f812,f337]) ).

fof(f337,plain,
    ( spl0_20
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f72,plain,
    ( c0_1(a487)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f810,plain,
    ( ~ spl0_20
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f73,f807,f337]) ).

fof(f73,plain,
    ( ~ c1_1(a487)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f805,plain,
    ( ~ spl0_20
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f74,f802,f337]) ).

fof(f74,plain,
    ( ~ c2_1(a487)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f799,plain,
    ( ~ spl0_27
    | spl0_110 ),
    inference(avatar_split_clause,[],[f76,f796,f368]) ).

fof(f368,plain,
    ( spl0_27
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f76,plain,
    ( c2_1(a493)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f794,plain,
    ( ~ spl0_27
    | spl0_109 ),
    inference(avatar_split_clause,[],[f77,f791,f368]) ).

fof(f77,plain,
    ( c3_1(a493)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f789,plain,
    ( ~ spl0_27
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f78,f786,f368]) ).

fof(f78,plain,
    ( ~ c0_1(a493)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f783,plain,
    ( ~ spl0_33
    | spl0_107 ),
    inference(avatar_split_clause,[],[f80,f780,f397]) ).

fof(f397,plain,
    ( spl0_33
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f80,plain,
    ( c0_1(a494)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f778,plain,
    ( ~ spl0_33
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f81,f775,f397]) ).

fof(f81,plain,
    ( ~ c2_1(a494)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f773,plain,
    ( ~ spl0_33
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f82,f770,f397]) ).

fof(f82,plain,
    ( ~ c3_1(a494)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f767,plain,
    ( ~ spl0_22
    | spl0_104 ),
    inference(avatar_split_clause,[],[f84,f764,f346]) ).

fof(f346,plain,
    ( spl0_22
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f84,plain,
    ( c1_1(a500)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f762,plain,
    ( ~ spl0_22
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f85,f759,f346]) ).

fof(f85,plain,
    ( ~ c2_1(a500)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f757,plain,
    ( ~ spl0_22
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f86,f754,f346]) ).

fof(f86,plain,
    ( ~ c3_1(a500)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f687,plain,
    ( ~ spl0_29
    | spl0_89 ),
    inference(avatar_split_clause,[],[f104,f684,f378]) ).

fof(f378,plain,
    ( spl0_29
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f104,plain,
    ( c0_1(a525)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f682,plain,
    ( ~ spl0_29
    | spl0_88 ),
    inference(avatar_split_clause,[],[f105,f679,f378]) ).

fof(f105,plain,
    ( c1_1(a525)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f677,plain,
    ( ~ spl0_29
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f106,f674,f378]) ).

fof(f106,plain,
    ( ~ c2_1(a525)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f671,plain,
    ( ~ spl0_15
    | spl0_86 ),
    inference(avatar_split_clause,[],[f108,f668,f314]) ).

fof(f314,plain,
    ( spl0_15
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f108,plain,
    ( c1_1(a545)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f666,plain,
    ( ~ spl0_15
    | spl0_85 ),
    inference(avatar_split_clause,[],[f109,f663,f314]) ).

fof(f109,plain,
    ( c3_1(a545)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f661,plain,
    ( ~ spl0_15
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f110,f658,f314]) ).

fof(f110,plain,
    ( ~ c0_1(a545)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f655,plain,
    ( ~ spl0_18
    | spl0_83 ),
    inference(avatar_split_clause,[],[f112,f652,f328]) ).

fof(f328,plain,
    ( spl0_18
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f112,plain,
    ( c0_1(a559)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f650,plain,
    ( ~ spl0_18
    | spl0_82 ),
    inference(avatar_split_clause,[],[f113,f647,f328]) ).

fof(f113,plain,
    ( c1_1(a559)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f645,plain,
    ( ~ spl0_18
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f114,f642,f328]) ).

fof(f114,plain,
    ( ~ c3_1(a559)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f639,plain,
    ( ~ spl0_9
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f116,f636,f288]) ).

fof(f288,plain,
    ( spl0_9
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f116,plain,
    ( ~ c1_1(a576)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f634,plain,
    ( ~ spl0_9
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f117,f631,f288]) ).

fof(f117,plain,
    ( ~ c2_1(a576)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f629,plain,
    ( ~ spl0_9
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f118,f626,f288]) ).

fof(f118,plain,
    ( ~ c3_1(a576)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f607,plain,
    ( ~ spl0_23
    | spl0_74 ),
    inference(avatar_split_clause,[],[f124,f604,f351]) ).

fof(f351,plain,
    ( spl0_23
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f124,plain,
    ( c0_1(a474)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f602,plain,
    ( ~ spl0_23
    | spl0_73 ),
    inference(avatar_split_clause,[],[f125,f599,f351]) ).

fof(f125,plain,
    ( c1_1(a474)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f597,plain,
    ( ~ spl0_23
    | spl0_72 ),
    inference(avatar_split_clause,[],[f126,f594,f351]) ).

fof(f126,plain,
    ( c2_1(a474)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f592,plain,
    ( ~ spl0_16
    | spl0_25 ),
    inference(avatar_split_clause,[],[f127,f361,f319]) ).

fof(f319,plain,
    ( spl0_16
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f127,plain,
    ( ndr1_0
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f591,plain,
    ( ~ spl0_16
    | spl0_71 ),
    inference(avatar_split_clause,[],[f128,f588,f319]) ).

fof(f128,plain,
    ( c1_1(a488)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f586,plain,
    ( ~ spl0_16
    | spl0_70 ),
    inference(avatar_split_clause,[],[f129,f583,f319]) ).

fof(f129,plain,
    ( c2_1(a488)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f581,plain,
    ( ~ spl0_16
    | spl0_69 ),
    inference(avatar_split_clause,[],[f130,f578,f319]) ).

fof(f130,plain,
    ( c3_1(a488)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f575,plain,
    ( ~ spl0_21
    | spl0_68 ),
    inference(avatar_split_clause,[],[f132,f572,f342]) ).

fof(f342,plain,
    ( spl0_21
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f132,plain,
    ( c0_1(a529)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f570,plain,
    ( ~ spl0_21
    | spl0_67 ),
    inference(avatar_split_clause,[],[f133,f567,f342]) ).

fof(f133,plain,
    ( c1_1(a529)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f565,plain,
    ( ~ spl0_21
    | spl0_66 ),
    inference(avatar_split_clause,[],[f134,f562,f342]) ).

fof(f134,plain,
    ( c3_1(a529)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f523,plain,
    ( spl0_57
    | ~ spl0_25
    | spl0_49
    | spl0_23 ),
    inference(avatar_split_clause,[],[f226,f351,f472,f361,f514]) ).

fof(f226,plain,
    ! [X84,X85] :
      ( hskp29
      | ~ c0_1(X84)
      | c2_1(X84)
      | c1_1(X84)
      | ~ ndr1_0
      | ~ c3_1(X85)
      | c2_1(X85)
      | c0_1(X85) ),
    inference(duplicate_literal_removal,[],[f150]) ).

fof(f150,plain,
    ! [X84,X85] :
      ( hskp29
      | ~ c0_1(X84)
      | c2_1(X84)
      | c1_1(X84)
      | ~ ndr1_0
      | ~ c3_1(X85)
      | c2_1(X85)
      | c0_1(X85)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f521,plain,
    ( spl0_57
    | ~ spl0_25
    | spl0_58
    | spl0_17 ),
    inference(avatar_split_clause,[],[f228,f323,f519,f361,f514]) ).

fof(f228,plain,
    ! [X80,X81] :
      ( hskp10
      | ~ c3_1(X80)
      | ~ c1_1(X80)
      | c2_1(X80)
      | ~ ndr1_0
      | ~ c3_1(X81)
      | c2_1(X81)
      | c0_1(X81) ),
    inference(duplicate_literal_removal,[],[f152]) ).

fof(f152,plain,
    ! [X80,X81] :
      ( hskp10
      | ~ c3_1(X80)
      | ~ c1_1(X80)
      | c2_1(X80)
      | ~ ndr1_0
      | ~ c3_1(X81)
      | c2_1(X81)
      | c0_1(X81)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f517,plain,
    ( spl0_57
    | ~ spl0_25
    | spl0_26
    | spl0_10 ),
    inference(avatar_split_clause,[],[f229,f293,f365,f361,f514]) ).

fof(f229,plain,
    ! [X78,X79] :
      ( hskp11
      | ~ c3_1(X78)
      | ~ c2_1(X78)
      | ~ c1_1(X78)
      | ~ ndr1_0
      | ~ c3_1(X79)
      | c2_1(X79)
      | c0_1(X79) ),
    inference(duplicate_literal_removal,[],[f153]) ).

fof(f153,plain,
    ! [X78,X79] :
      ( hskp11
      | ~ c3_1(X78)
      | ~ c2_1(X78)
      | ~ c1_1(X78)
      | ~ ndr1_0
      | ~ c3_1(X79)
      | c2_1(X79)
      | c0_1(X79)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f512,plain,
    ( spl0_56
    | spl0_46
    | ~ spl0_25
    | spl0_39 ),
    inference(avatar_split_clause,[],[f230,f425,f361,f458,f509]) ).

fof(f230,plain,
    ! [X76,X74,X75] :
      ( ~ c1_1(X74)
      | ~ c0_1(X74)
      | c2_1(X74)
      | ~ ndr1_0
      | ~ c2_1(X75)
      | c3_1(X75)
      | c1_1(X75)
      | ~ c1_1(X76)
      | c3_1(X76)
      | c0_1(X76) ),
    inference(duplicate_literal_removal,[],[f155]) ).

fof(f155,plain,
    ! [X76,X74,X75] :
      ( ~ c1_1(X74)
      | ~ c0_1(X74)
      | c2_1(X74)
      | ~ ndr1_0
      | ~ c2_1(X75)
      | c3_1(X75)
      | c1_1(X75)
      | ~ ndr1_0
      | ~ c1_1(X76)
      | c3_1(X76)
      | c0_1(X76)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f511,plain,
    ( spl0_56
    | ~ spl0_25
    | spl0_45
    | spl0_3 ),
    inference(avatar_split_clause,[],[f231,f262,f454,f361,f509]) ).

fof(f231,plain,
    ! [X72,X73] :
      ( hskp13
      | ~ c2_1(X72)
      | ~ c0_1(X72)
      | c1_1(X72)
      | ~ ndr1_0
      | ~ c1_1(X73)
      | c3_1(X73)
      | c0_1(X73) ),
    inference(duplicate_literal_removal,[],[f156]) ).

fof(f156,plain,
    ! [X72,X73] :
      ( hskp13
      | ~ c2_1(X72)
      | ~ c0_1(X72)
      | c1_1(X72)
      | ~ ndr1_0
      | ~ c1_1(X73)
      | c3_1(X73)
      | c0_1(X73)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f507,plain,
    ( spl0_55
    | ~ spl0_25
    | spl0_53
    | spl0_14 ),
    inference(avatar_split_clause,[],[f232,f310,f493,f361,f503]) ).

fof(f232,plain,
    ! [X70,X71] :
      ( hskp14
      | ~ c3_1(X70)
      | ~ c1_1(X70)
      | c0_1(X70)
      | ~ ndr1_0
      | ~ c2_1(X71)
      | c3_1(X71)
      | c0_1(X71) ),
    inference(duplicate_literal_removal,[],[f157]) ).

fof(f157,plain,
    ! [X70,X71] :
      ( hskp14
      | ~ c3_1(X70)
      | ~ c1_1(X70)
      | c0_1(X70)
      | ~ ndr1_0
      | ~ c2_1(X71)
      | c3_1(X71)
      | c0_1(X71)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f505,plain,
    ( ~ spl0_25
    | spl0_55
    | spl0_7
    | spl0_20 ),
    inference(avatar_split_clause,[],[f159,f337,f280,f503,f361]) ).

fof(f159,plain,
    ! [X68] :
      ( hskp16
      | hskp7
      | ~ c2_1(X68)
      | c3_1(X68)
      | c0_1(X68)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f501,plain,
    ( spl0_54
    | ~ spl0_25
    | spl0_49 ),
    inference(avatar_split_clause,[],[f233,f472,f361,f498]) ).

fof(f233,plain,
    ! [X66,X67] :
      ( ~ c0_1(X66)
      | c2_1(X66)
      | c1_1(X66)
      | ~ ndr1_0
      | ~ c2_1(X67)
      | ~ c1_1(X67)
      | c0_1(X67) ),
    inference(duplicate_literal_removal,[],[f160]) ).

fof(f160,plain,
    ! [X66,X67] :
      ( ~ c0_1(X66)
      | c2_1(X66)
      | c1_1(X66)
      | ~ ndr1_0
      | ~ c2_1(X67)
      | ~ c1_1(X67)
      | c0_1(X67)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f495,plain,
    ( spl0_53
    | ~ spl0_25
    | spl0_26
    | spl0_20 ),
    inference(avatar_split_clause,[],[f235,f337,f365,f361,f493]) ).

fof(f235,plain,
    ! [X62,X61] :
      ( hskp16
      | ~ c3_1(X61)
      | ~ c2_1(X61)
      | ~ c1_1(X61)
      | ~ ndr1_0
      | ~ c3_1(X62)
      | ~ c1_1(X62)
      | c0_1(X62) ),
    inference(duplicate_literal_removal,[],[f163]) ).

fof(f163,plain,
    ! [X62,X61] :
      ( hskp16
      | ~ c3_1(X61)
      | ~ c2_1(X61)
      | ~ c1_1(X61)
      | ~ ndr1_0
      | ~ c3_1(X62)
      | ~ c1_1(X62)
      | c0_1(X62)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f490,plain,
    ( spl0_52
    | spl0_30
    | ~ spl0_25
    | spl0_34 ),
    inference(avatar_split_clause,[],[f237,f402,f361,f383,f486]) ).

fof(f237,plain,
    ! [X56,X57,X55] :
      ( ~ c3_1(X55)
      | ~ c1_1(X55)
      | ~ c0_1(X55)
      | ~ ndr1_0
      | ~ c2_1(X56)
      | ~ c1_1(X56)
      | ~ c0_1(X56)
      | ~ c3_1(X57)
      | ~ c2_1(X57)
      | c0_1(X57) ),
    inference(duplicate_literal_removal,[],[f165]) ).

fof(f165,plain,
    ! [X56,X57,X55] :
      ( ~ c3_1(X55)
      | ~ c1_1(X55)
      | ~ c0_1(X55)
      | ~ ndr1_0
      | ~ c2_1(X56)
      | ~ c1_1(X56)
      | ~ c0_1(X56)
      | ~ ndr1_0
      | ~ c3_1(X57)
      | ~ c2_1(X57)
      | c0_1(X57)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f484,plain,
    ( spl0_50
    | ~ spl0_25
    | spl0_47
    | spl0_20 ),
    inference(avatar_split_clause,[],[f238,f337,f462,f361,f477]) ).

fof(f238,plain,
    ! [X51,X52] :
      ( hskp16
      | ~ c0_1(X51)
      | c3_1(X51)
      | c1_1(X51)
      | ~ ndr1_0
      | c3_1(X52)
      | c2_1(X52)
      | c1_1(X52) ),
    inference(duplicate_literal_removal,[],[f168]) ).

fof(f168,plain,
    ! [X51,X52] :
      ( hskp16
      | ~ c0_1(X51)
      | c3_1(X51)
      | c1_1(X51)
      | ~ ndr1_0
      | c3_1(X52)
      | c2_1(X52)
      | c1_1(X52)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f483,plain,
    ( spl0_50
    | ~ spl0_25
    | spl0_51
    | spl0_19 ),
    inference(avatar_split_clause,[],[f239,f332,f481,f361,f477]) ).

fof(f239,plain,
    ! [X50,X49] :
      ( hskp2
      | ~ c3_1(X49)
      | ~ c2_1(X49)
      | c1_1(X49)
      | ~ ndr1_0
      | c3_1(X50)
      | c2_1(X50)
      | c1_1(X50) ),
    inference(duplicate_literal_removal,[],[f169]) ).

fof(f169,plain,
    ! [X50,X49] :
      ( hskp2
      | ~ c3_1(X49)
      | ~ c2_1(X49)
      | c1_1(X49)
      | ~ ndr1_0
      | c3_1(X50)
      | c2_1(X50)
      | c1_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f479,plain,
    ( spl0_50
    | ~ spl0_25
    | spl0_40
    | spl0_14 ),
    inference(avatar_split_clause,[],[f240,f310,f429,f361,f477]) ).

fof(f240,plain,
    ! [X48,X47] :
      ( hskp14
      | ~ c1_1(X47)
      | c3_1(X47)
      | c2_1(X47)
      | ~ ndr1_0
      | c3_1(X48)
      | c2_1(X48)
      | c1_1(X48) ),
    inference(duplicate_literal_removal,[],[f170]) ).

fof(f170,plain,
    ! [X48,X47] :
      ( hskp14
      | ~ c1_1(X47)
      | c3_1(X47)
      | c2_1(X47)
      | ~ ndr1_0
      | c3_1(X48)
      | c2_1(X48)
      | c1_1(X48)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f474,plain,
    ( ~ spl0_25
    | spl0_49
    | spl0_27
    | spl0_12 ),
    inference(avatar_split_clause,[],[f172,f301,f368,f472,f361]) ).

fof(f172,plain,
    ! [X45] :
      ( hskp9
      | hskp17
      | ~ c0_1(X45)
      | c2_1(X45)
      | c1_1(X45)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f470,plain,
    ( spl0_48
    | spl0_43
    | ~ spl0_25
    | spl0_40 ),
    inference(avatar_split_clause,[],[f241,f429,f361,f445,f468]) ).

fof(f241,plain,
    ! [X44,X42,X43] :
      ( ~ c1_1(X42)
      | c3_1(X42)
      | c2_1(X42)
      | ~ ndr1_0
      | ~ c3_1(X43)
      | ~ c0_1(X43)
      | c1_1(X43)
      | ~ c3_1(X44)
      | c2_1(X44)
      | c1_1(X44) ),
    inference(duplicate_literal_removal,[],[f173]) ).

fof(f173,plain,
    ! [X44,X42,X43] :
      ( ~ c1_1(X42)
      | c3_1(X42)
      | c2_1(X42)
      | ~ ndr1_0
      | ~ c3_1(X43)
      | ~ c0_1(X43)
      | c1_1(X43)
      | ~ ndr1_0
      | ~ c3_1(X44)
      | c2_1(X44)
      | c1_1(X44)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f456,plain,
    ( spl0_45
    | ~ spl0_25
    | spl0_38
    | spl0_11 ),
    inference(avatar_split_clause,[],[f243,f297,f421,f361,f454]) ).

fof(f243,plain,
    ! [X36,X35] :
      ( hskp12
      | ~ c3_1(X35)
      | ~ c0_1(X35)
      | c2_1(X35)
      | ~ ndr1_0
      | ~ c2_1(X36)
      | ~ c0_1(X36)
      | c1_1(X36) ),
    inference(duplicate_literal_removal,[],[f178]) ).

fof(f178,plain,
    ! [X36,X35] :
      ( hskp12
      | ~ c3_1(X35)
      | ~ c0_1(X35)
      | c2_1(X35)
      | ~ ndr1_0
      | ~ c2_1(X36)
      | ~ c0_1(X36)
      | c1_1(X36)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f452,plain,
    ( spl0_43
    | ~ spl0_25
    | spl0_30
    | spl0_33 ),
    inference(avatar_split_clause,[],[f244,f397,f383,f361,f445]) ).

fof(f244,plain,
    ! [X34,X33] :
      ( hskp18
      | ~ c2_1(X33)
      | ~ c1_1(X33)
      | ~ c0_1(X33)
      | ~ ndr1_0
      | ~ c3_1(X34)
      | ~ c0_1(X34)
      | c1_1(X34) ),
    inference(duplicate_literal_removal,[],[f179]) ).

fof(f179,plain,
    ! [X34,X33] :
      ( hskp18
      | ~ c2_1(X33)
      | ~ c1_1(X33)
      | ~ c0_1(X33)
      | ~ ndr1_0
      | ~ c3_1(X34)
      | ~ c0_1(X34)
      | c1_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f442,plain,
    ( spl0_42
    | ~ spl0_25
    | spl0_30 ),
    inference(avatar_split_clause,[],[f246,f383,f361,f439]) ).

fof(f246,plain,
    ! [X28,X29] :
      ( ~ c2_1(X28)
      | ~ c1_1(X28)
      | ~ c0_1(X28)
      | ~ ndr1_0
      | ~ c0_1(X29)
      | c3_1(X29)
      | c2_1(X29) ),
    inference(duplicate_literal_removal,[],[f182]) ).

fof(f182,plain,
    ! [X28,X29] :
      ( ~ c2_1(X28)
      | ~ c1_1(X28)
      | ~ c0_1(X28)
      | ~ ndr1_0
      | ~ c0_1(X29)
      | c3_1(X29)
      | c2_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f427,plain,
    ( spl0_39
    | ~ spl0_25
    | spl0_35
    | spl0_23 ),
    inference(avatar_split_clause,[],[f248,f351,f406,f361,f425]) ).

fof(f248,plain,
    ! [X21,X22] :
      ( hskp29
      | ~ c2_1(X21)
      | ~ c1_1(X21)
      | c3_1(X21)
      | ~ ndr1_0
      | ~ c1_1(X22)
      | ~ c0_1(X22)
      | c2_1(X22) ),
    inference(duplicate_literal_removal,[],[f187]) ).

fof(f187,plain,
    ! [X21,X22] :
      ( hskp29
      | ~ c2_1(X21)
      | ~ c1_1(X21)
      | c3_1(X21)
      | ~ ndr1_0
      | ~ c1_1(X22)
      | ~ c0_1(X22)
      | c2_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f423,plain,
    ( ~ spl0_25
    | spl0_38
    | spl0_4
    | spl0_27 ),
    inference(avatar_split_clause,[],[f188,f368,f267,f421,f361]) ).

fof(f188,plain,
    ! [X20] :
      ( hskp17
      | hskp5
      | ~ c3_1(X20)
      | ~ c0_1(X20)
      | c2_1(X20)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f417,plain,
    ( ~ spl0_25
    | spl0_37
    | spl0_16
    | spl0_11 ),
    inference(avatar_split_clause,[],[f191,f297,f319,f415,f361]) ).

fof(f191,plain,
    ! [X15] :
      ( hskp12
      | hskp30
      | ~ c1_1(X15)
      | ~ c0_1(X15)
      | c3_1(X15)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f412,plain,
    ( spl0_36
    | ~ spl0_25
    | spl0_26
    | spl0_7 ),
    inference(avatar_split_clause,[],[f251,f280,f365,f361,f410]) ).

fof(f251,plain,
    ! [X11,X12] :
      ( hskp7
      | ~ c3_1(X11)
      | ~ c2_1(X11)
      | ~ c1_1(X11)
      | ~ ndr1_0
      | ~ c2_1(X12)
      | ~ c0_1(X12)
      | c3_1(X12) ),
    inference(duplicate_literal_removal,[],[f193]) ).

fof(f193,plain,
    ! [X11,X12] :
      ( hskp7
      | ~ c3_1(X11)
      | ~ c2_1(X11)
      | ~ c1_1(X11)
      | ~ ndr1_0
      | ~ c2_1(X12)
      | ~ c0_1(X12)
      | c3_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f408,plain,
    ( ~ spl0_25
    | spl0_35
    | spl0_33
    | spl0_27 ),
    inference(avatar_split_clause,[],[f194,f368,f397,f406,f361]) ).

fof(f194,plain,
    ! [X10] :
      ( hskp17
      | hskp18
      | ~ c2_1(X10)
      | ~ c1_1(X10)
      | c3_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f400,plain,
    ( ~ spl0_25
    | spl0_30
    | spl0_33
    | spl0_32 ),
    inference(avatar_split_clause,[],[f196,f390,f397,f383,f361]) ).

fof(f196,plain,
    ! [X7] :
      ( hskp4
      | hskp18
      | ~ c2_1(X7)
      | ~ c1_1(X7)
      | ~ c0_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f395,plain,
    ( ~ spl0_25
    | spl0_30
    | spl0_14
    | spl0_17 ),
    inference(avatar_split_clause,[],[f197,f323,f310,f383,f361]) ).

fof(f197,plain,
    ! [X6] :
      ( hskp10
      | hskp14
      | ~ c2_1(X6)
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f381,plain,
    ( ~ spl0_25
    | spl0_28
    | spl0_29
    | spl0_17 ),
    inference(avatar_split_clause,[],[f200,f323,f378,f373,f361]) ).

fof(f200,plain,
    ! [X3] :
      ( hskp10
      | hskp24
      | ~ c3_1(X3)
      | ~ c2_1(X3)
      | ~ c0_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f376,plain,
    ( ~ spl0_25
    | spl0_28
    | spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f201,f314,f310,f373,f361]) ).

fof(f201,plain,
    ! [X2] :
      ( hskp25
      | hskp14
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f349,plain,
    ( spl0_21
    | spl0_22
    | spl0_17 ),
    inference(avatar_split_clause,[],[f206,f323,f346,f342]) ).

fof(f206,plain,
    ( hskp10
    | hskp19
    | hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f340,plain,
    ( spl0_18
    | spl0_20
    | spl0_3 ),
    inference(avatar_split_clause,[],[f207,f262,f337,f328]) ).

fof(f207,plain,
    ( hskp13
    | hskp16
    | hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f326,plain,
    ( spl0_13
    | spl0_16
    | spl0_17 ),
    inference(avatar_split_clause,[],[f209,f323,f319,f306]) ).

fof(f209,plain,
    ( hskp10
    | hskp30
    | hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f317,plain,
    ( spl0_13
    | spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f210,f314,f310,f306]) ).

fof(f210,plain,
    ( hskp25
    | hskp14
    | hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f304,plain,
    ( spl0_10
    | spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f211,f301,f297,f293]) ).

fof(f211,plain,
    ( hskp9
    | hskp12
    | hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f291,plain,
    ( spl0_7
    | spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f212,f288,f284,f280]) ).

fof(f212,plain,
    ( hskp27
    | hskp8
    | hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYN505+1 : TPTP v8.2.0. Released v2.1.0.
% 0.04/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon May 20 13:56:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (20503)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38  % (20504)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38  % (20507)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  % (20508)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38  % (20506)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  % (20509)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38  % (20505)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38  % (20510)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 [32]
% 0.22/0.38  TRYING [1]
% 0.22/0.39  Detected minimum model sizes of [1]
% 0.22/0.39  Detected maximum model sizes of [32]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  TRYING [3]
% 0.22/0.39  Detected minimum model sizes of [1]
% 0.22/0.39  Detected maximum model sizes of [32]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  TRYING [3]
% 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 [32]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [4]
% 0.22/0.39  TRYING [2]
% 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]
% 0.22/0.42  TRYING [5]
% 0.22/0.42  TRYING [5]
% 0.22/0.43  % (20509)First to succeed.
% 0.22/0.44  % (20509)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20503"
% 0.22/0.44  % (20509)Refutation found. Thanks to Tanya!
% 0.22/0.44  % SZS status Theorem for theBenchmark
% 0.22/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.45  % (20509)------------------------------
% 0.22/0.45  % (20509)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.45  % (20509)Termination reason: Refutation
% 0.22/0.45  
% 0.22/0.45  % (20509)Memory used [KB]: 2040
% 0.22/0.45  % (20509)Time elapsed: 0.061 s
% 0.22/0.45  % (20509)Instructions burned: 104 (million)
% 0.22/0.45  % (20503)Success in time 0.085 s
%------------------------------------------------------------------------------