TSTP Solution File: SYN504+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN504+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n012.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 Apr 30 18:04:05 EDT 2024

% Result   : Theorem 0.22s 0.49s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  155
% Syntax   : Number of formulae    :  976 (   1 unt;   0 def)
%            Number of atoms       : 8347 (   0 equ)
%            Maximal formula atoms :  773 (   8 avg)
%            Number of connectives : 11488 (4117   ~;5471   |;1242   &)
%                                         ( 154 <=>; 504  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  118 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  192 ( 191 usr; 188 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   : 1036 (1036   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4772,plain,
    $false,
    inference(avatar_sat_refutation,[],[f266,f284,f302,f320,f325,f333,f338,f347,f367,f371,f372,f376,f381,f393,f401,f405,f413,f415,f419,f424,f428,f436,f440,f448,f449,f450,f458,f459,f460,f464,f473,f474,f475,f480,f481,f485,f489,f494,f495,f496,f501,f502,f504,f513,f521,f523,f528,f529,f534,f545,f546,f565,f570,f575,f580,f586,f591,f596,f602,f607,f612,f618,f623,f628,f650,f655,f660,f682,f687,f692,f698,f703,f708,f714,f719,f724,f730,f735,f740,f746,f751,f756,f762,f772,f778,f783,f788,f794,f799,f804,f805,f810,f815,f820,f826,f831,f836,f852,f858,f863,f868,f874,f879,f884,f890,f895,f900,f901,f911,f916,f927,f932,f938,f943,f948,f970,f975,f980,f1002,f1007,f1018,f1023,f1028,f1034,f1039,f1044,f1050,f1055,f1060,f1061,f1066,f1071,f1076,f1087,f1109,f1141,f1159,f1174,f1178,f1188,f1230,f1236,f1313,f1327,f1408,f1431,f1553,f1567,f1599,f1647,f1690,f1691,f1693,f1805,f1919,f1941,f1983,f1989,f2004,f2031,f2046,f2120,f2180,f2182,f2207,f2247,f2279,f2314,f2384,f2422,f2446,f2447,f2451,f2513,f2526,f2562,f2608,f2658,f2701,f2727,f2880,f2886,f2913,f2925,f2986,f2991,f3008,f3046,f3117,f3146,f3174,f3199,f3202,f3209,f3236,f3271,f3308,f3317,f3320,f3437,f3454,f3470,f3473,f3481,f3518,f3529,f3609,f3634,f3641,f3662,f3719,f3748,f3749,f3755,f3757,f3813,f3882,f3974,f4094,f4105,f4106,f4111,f4112,f4125,f4130,f4132,f4135,f4167,f4170,f4174,f4239,f4241,f4253,f4276,f4278,f4280,f4293,f4298,f4408,f4411,f4466,f4500,f4564,f4600,f4626,f4629,f4654,f4657,f4694,f4720,f4722,f4743,f4769]) ).

fof(f4769,plain,
    ( ~ spl0_39
    | spl0_126
    | ~ spl0_127
    | ~ spl0_164 ),
    inference(avatar_contradiction_clause,[],[f4768]) ).

fof(f4768,plain,
    ( $false
    | ~ spl0_39
    | spl0_126
    | ~ spl0_127
    | ~ spl0_164 ),
    inference(subsumption_resolution,[],[f4767,f1299]) ).

fof(f1299,plain,
    ( c0_1(a368)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1298]) ).

fof(f1298,plain,
    ( spl0_164
  <=> c0_1(a368) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f4767,plain,
    ( ~ c0_1(a368)
    | ~ spl0_39
    | spl0_126
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f4755,f889]) ).

fof(f889,plain,
    ( ~ c1_1(a368)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f887,plain,
    ( spl0_126
  <=> c1_1(a368) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f4755,plain,
    ( c1_1(a368)
    | ~ c0_1(a368)
    | ~ spl0_39
    | ~ spl0_127 ),
    inference(resolution,[],[f427,f894]) ).

fof(f894,plain,
    ( c3_1(a368)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f892,plain,
    ( spl0_127
  <=> c3_1(a368) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f427,plain,
    ( ! [X25] :
        ( ~ c3_1(X25)
        | c1_1(X25)
        | ~ c0_1(X25) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f426,plain,
    ( spl0_39
  <=> ! [X25] :
        ( ~ c3_1(X25)
        | c1_1(X25)
        | ~ c0_1(X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f4743,plain,
    ( ~ spl0_37
    | spl0_126
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f4742]) ).

fof(f4742,plain,
    ( $false
    | ~ spl0_37
    | spl0_126
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f4741,f899]) ).

fof(f899,plain,
    ( c2_1(a368)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f897,plain,
    ( spl0_128
  <=> c2_1(a368) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f4741,plain,
    ( ~ c2_1(a368)
    | ~ spl0_37
    | spl0_126
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f4727,f889]) ).

fof(f4727,plain,
    ( c1_1(a368)
    | ~ c2_1(a368)
    | ~ spl0_37
    | ~ spl0_127 ),
    inference(resolution,[],[f418,f894]) ).

fof(f418,plain,
    ( ! [X22] :
        ( ~ c3_1(X22)
        | c1_1(X22)
        | ~ c2_1(X22) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f417,plain,
    ( spl0_37
  <=> ! [X22] :
        ( ~ c3_1(X22)
        | c1_1(X22)
        | ~ c2_1(X22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f4722,plain,
    ( spl0_178
    | ~ spl0_26
    | ~ spl0_72
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f4721,f609,f599,f369,f2780]) ).

fof(f2780,plain,
    ( spl0_178
  <=> c3_1(a372) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f369,plain,
    ( spl0_26
  <=> ! [X7] :
        ( ~ c2_1(X7)
        | c3_1(X7)
        | ~ c0_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f599,plain,
    ( spl0_72
  <=> c2_1(a372) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f609,plain,
    ( spl0_74
  <=> c0_1(a372) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f4721,plain,
    ( c3_1(a372)
    | ~ spl0_26
    | ~ spl0_72
    | ~ spl0_74 ),
    inference(subsumption_resolution,[],[f4714,f601]) ).

fof(f601,plain,
    ( c2_1(a372)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f4714,plain,
    ( c3_1(a372)
    | ~ c2_1(a372)
    | ~ spl0_26
    | ~ spl0_74 ),
    inference(resolution,[],[f370,f611]) ).

fof(f611,plain,
    ( c0_1(a372)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f609]) ).

fof(f370,plain,
    ( ! [X7] :
        ( ~ c0_1(X7)
        | c3_1(X7)
        | ~ c2_1(X7) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f4720,plain,
    ( ~ spl0_170
    | ~ spl0_26
    | spl0_108
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f4719,f801,f791,f369,f2175]) ).

fof(f2175,plain,
    ( spl0_170
  <=> c2_1(a380) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f791,plain,
    ( spl0_108
  <=> c3_1(a380) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f801,plain,
    ( spl0_110
  <=> c0_1(a380) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f4719,plain,
    ( ~ c2_1(a380)
    | ~ spl0_26
    | spl0_108
    | ~ spl0_110 ),
    inference(subsumption_resolution,[],[f4710,f793]) ).

fof(f793,plain,
    ( ~ c3_1(a380)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f4710,plain,
    ( c3_1(a380)
    | ~ c2_1(a380)
    | ~ spl0_26
    | ~ spl0_110 ),
    inference(resolution,[],[f370,f803]) ).

fof(f803,plain,
    ( c0_1(a380)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f4694,plain,
    ( ~ spl0_29
    | ~ spl0_37
    | ~ spl0_45
    | ~ spl0_124
    | spl0_166 ),
    inference(avatar_contradiction_clause,[],[f4693]) ).

fof(f4693,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_45
    | ~ spl0_124
    | spl0_166 ),
    inference(subsumption_resolution,[],[f4680,f1336]) ).

fof(f1336,plain,
    ( ~ c1_1(a369)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f1335]) ).

fof(f1335,plain,
    ( spl0_166
  <=> c1_1(a369) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f4680,plain,
    ( c1_1(a369)
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_45
    | ~ spl0_124 ),
    inference(resolution,[],[f4675,f878]) ).

fof(f878,plain,
    ( c3_1(a369)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f876,plain,
    ( spl0_124
  <=> c3_1(a369) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f4675,plain,
    ( ! [X22] :
        ( ~ c3_1(X22)
        | c1_1(X22) )
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_45 ),
    inference(subsumption_resolution,[],[f418,f4663]) ).

fof(f4663,plain,
    ( ! [X37] :
        ( ~ c3_1(X37)
        | c2_1(X37) )
    | ~ spl0_29
    | ~ spl0_45 ),
    inference(subsumption_resolution,[],[f453,f384]) ).

fof(f384,plain,
    ( ! [X12] :
        ( ~ c3_1(X12)
        | c2_1(X12)
        | ~ c1_1(X12) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f383,plain,
    ( spl0_29
  <=> ! [X12] :
        ( ~ c3_1(X12)
        | c2_1(X12)
        | ~ c1_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f453,plain,
    ( ! [X37] :
        ( ~ c3_1(X37)
        | c1_1(X37)
        | c2_1(X37) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f452,plain,
    ( spl0_45
  <=> ! [X37] :
        ( ~ c3_1(X37)
        | c1_1(X37)
        | c2_1(X37) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f4657,plain,
    ( ~ spl0_21
    | ~ spl0_73
    | ~ spl0_74
    | ~ spl0_178 ),
    inference(avatar_contradiction_clause,[],[f4656]) ).

fof(f4656,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_73
    | ~ spl0_74
    | ~ spl0_178 ),
    inference(subsumption_resolution,[],[f4655,f606]) ).

fof(f606,plain,
    ( c1_1(a372)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f604,plain,
    ( spl0_73
  <=> c1_1(a372) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f4655,plain,
    ( ~ c1_1(a372)
    | ~ spl0_21
    | ~ spl0_74
    | ~ spl0_178 ),
    inference(subsumption_resolution,[],[f4643,f611]) ).

fof(f4643,plain,
    ( ~ c0_1(a372)
    | ~ c1_1(a372)
    | ~ spl0_21
    | ~ spl0_178 ),
    inference(resolution,[],[f350,f2782]) ).

fof(f2782,plain,
    ( c3_1(a372)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f2780]) ).

fof(f350,plain,
    ( ! [X4] :
        ( ~ c3_1(X4)
        | ~ c0_1(X4)
        | ~ c1_1(X4) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f349,plain,
    ( spl0_21
  <=> ! [X4] :
        ( ~ c3_1(X4)
        | ~ c0_1(X4)
        | ~ c1_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f4654,plain,
    ( ~ spl0_169
    | ~ spl0_21
    | ~ spl0_75
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f4653,f625,f615,f349,f2083]) ).

fof(f2083,plain,
    ( spl0_169
  <=> c0_1(a365) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f615,plain,
    ( spl0_75
  <=> c3_1(a365) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f625,plain,
    ( spl0_77
  <=> c1_1(a365) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f4653,plain,
    ( ~ c0_1(a365)
    | ~ spl0_21
    | ~ spl0_75
    | ~ spl0_77 ),
    inference(subsumption_resolution,[],[f4642,f627]) ).

fof(f627,plain,
    ( c1_1(a365)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f4642,plain,
    ( ~ c0_1(a365)
    | ~ c1_1(a365)
    | ~ spl0_21
    | ~ spl0_75 ),
    inference(resolution,[],[f350,f617]) ).

fof(f617,plain,
    ( c3_1(a365)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f4629,plain,
    ( ~ spl0_121
    | spl0_120
    | ~ spl0_26
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f4316,f865,f369,f855,f860]) ).

fof(f860,plain,
    ( spl0_121
  <=> c2_1(a370) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f855,plain,
    ( spl0_120
  <=> c3_1(a370) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f865,plain,
    ( spl0_122
  <=> c0_1(a370) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f4316,plain,
    ( c3_1(a370)
    | ~ c2_1(a370)
    | ~ spl0_26
    | ~ spl0_122 ),
    inference(resolution,[],[f370,f867]) ).

fof(f867,plain,
    ( c0_1(a370)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f865]) ).

fof(f4626,plain,
    ( ~ spl0_175
    | ~ spl0_39
    | ~ spl0_43
    | spl0_143 ),
    inference(avatar_split_clause,[],[f4616,f977,f442,f426,f2346]) ).

fof(f2346,plain,
    ( spl0_175
  <=> c0_1(a360) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f442,plain,
    ( spl0_43
  <=> ! [X33] :
        ( ~ c0_1(X33)
        | c1_1(X33)
        | c3_1(X33) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f977,plain,
    ( spl0_143
  <=> c1_1(a360) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f4616,plain,
    ( ~ c0_1(a360)
    | ~ spl0_39
    | ~ spl0_43
    | spl0_143 ),
    inference(resolution,[],[f4568,f979]) ).

fof(f979,plain,
    ( ~ c1_1(a360)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f977]) ).

fof(f4568,plain,
    ( ! [X25] :
        ( c1_1(X25)
        | ~ c0_1(X25) )
    | ~ spl0_39
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f427,f443]) ).

fof(f443,plain,
    ( ! [X33] :
        ( ~ c0_1(X33)
        | c1_1(X33)
        | c3_1(X33) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f4600,plain,
    ( ~ spl0_26
    | ~ spl0_52
    | spl0_87
    | ~ spl0_180 ),
    inference(avatar_contradiction_clause,[],[f4599]) ).

fof(f4599,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_52
    | spl0_87
    | ~ spl0_180 ),
    inference(subsumption_resolution,[],[f4592,f3123]) ).

fof(f3123,plain,
    ( c2_1(a399)
    | ~ spl0_180 ),
    inference(avatar_component_clause,[],[f3121]) ).

fof(f3121,plain,
    ( spl0_180
  <=> c2_1(a399) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f4592,plain,
    ( ~ c2_1(a399)
    | ~ spl0_26
    | ~ spl0_52
    | spl0_87 ),
    inference(resolution,[],[f4567,f681]) ).

fof(f681,plain,
    ( ~ c3_1(a399)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f679,plain,
    ( spl0_87
  <=> c3_1(a399) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f4567,plain,
    ( ! [X57] :
        ( c3_1(X57)
        | ~ c2_1(X57) )
    | ~ spl0_26
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f488,f370]) ).

fof(f488,plain,
    ( ! [X57] :
        ( ~ c2_1(X57)
        | c0_1(X57)
        | c3_1(X57) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f487,plain,
    ( spl0_52
  <=> ! [X57] :
        ( ~ c2_1(X57)
        | c0_1(X57)
        | c3_1(X57) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f4564,plain,
    ( ~ spl0_29
    | ~ spl0_45
    | ~ spl0_48
    | ~ spl0_59
    | spl0_96
    | spl0_97 ),
    inference(avatar_contradiction_clause,[],[f4563]) ).

fof(f4563,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_45
    | ~ spl0_48
    | ~ spl0_59
    | spl0_96
    | spl0_97 ),
    inference(subsumption_resolution,[],[f4558,f734]) ).

fof(f734,plain,
    ( ~ c0_1(a395)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f732,plain,
    ( spl0_97
  <=> c0_1(a395) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f4558,plain,
    ( c0_1(a395)
    | ~ spl0_29
    | ~ spl0_45
    | ~ spl0_48
    | ~ spl0_59
    | spl0_96 ),
    inference(resolution,[],[f4549,f729]) ).

fof(f729,plain,
    ( ~ c2_1(a395)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f727,plain,
    ( spl0_96
  <=> c2_1(a395) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f4549,plain,
    ( ! [X88] :
        ( c2_1(X88)
        | c0_1(X88) )
    | ~ spl0_29
    | ~ spl0_45
    | ~ spl0_48
    | ~ spl0_59 ),
    inference(subsumption_resolution,[],[f527,f4474]) ).

fof(f4474,plain,
    ( ! [X43] :
        ( ~ c3_1(X43)
        | c0_1(X43) )
    | ~ spl0_29
    | ~ spl0_45
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f467,f4412]) ).

fof(f4412,plain,
    ( ! [X37] :
        ( ~ c3_1(X37)
        | c2_1(X37) )
    | ~ spl0_29
    | ~ spl0_45 ),
    inference(subsumption_resolution,[],[f453,f384]) ).

fof(f467,plain,
    ( ! [X43] :
        ( ~ c2_1(X43)
        | c0_1(X43)
        | ~ c3_1(X43) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f466,plain,
    ( spl0_48
  <=> ! [X43] :
        ( ~ c3_1(X43)
        | c0_1(X43)
        | ~ c2_1(X43) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f527,plain,
    ( ! [X88] :
        ( c3_1(X88)
        | c0_1(X88)
        | c2_1(X88) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f526,plain,
    ( spl0_59
  <=> ! [X88] :
        ( c3_1(X88)
        | c0_1(X88)
        | c2_1(X88) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f4500,plain,
    ( spl0_150
    | ~ spl0_29
    | ~ spl0_45
    | ~ spl0_48
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f4478,f1020,f466,f452,f383,f1015]) ).

fof(f1015,plain,
    ( spl0_150
  <=> c0_1(a357) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1020,plain,
    ( spl0_151
  <=> c3_1(a357) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f4478,plain,
    ( c0_1(a357)
    | ~ spl0_29
    | ~ spl0_45
    | ~ spl0_48
    | ~ spl0_151 ),
    inference(resolution,[],[f4474,f1022]) ).

fof(f1022,plain,
    ( c3_1(a357)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f1020]) ).

fof(f4466,plain,
    ( spl0_176
    | ~ spl0_47
    | spl0_82
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f4465,f657,f652,f462,f2484]) ).

fof(f2484,plain,
    ( spl0_176
  <=> c1_1(a418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f462,plain,
    ( spl0_47
  <=> ! [X42] :
        ( ~ c0_1(X42)
        | c1_1(X42)
        | c2_1(X42) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f652,plain,
    ( spl0_82
  <=> c2_1(a418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f657,plain,
    ( spl0_83
  <=> c0_1(a418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f4465,plain,
    ( c1_1(a418)
    | ~ spl0_47
    | spl0_82
    | ~ spl0_83 ),
    inference(subsumption_resolution,[],[f4455,f654]) ).

fof(f654,plain,
    ( ~ c2_1(a418)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f4455,plain,
    ( c1_1(a418)
    | c2_1(a418)
    | ~ spl0_47
    | ~ spl0_83 ),
    inference(resolution,[],[f463,f659]) ).

fof(f659,plain,
    ( c0_1(a418)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f463,plain,
    ( ! [X42] :
        ( ~ c0_1(X42)
        | c1_1(X42)
        | c2_1(X42) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f4411,plain,
    ( spl0_176
    | ~ spl0_43
    | spl0_81
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f4410,f657,f647,f442,f2484]) ).

fof(f647,plain,
    ( spl0_81
  <=> c3_1(a418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f4410,plain,
    ( c1_1(a418)
    | ~ spl0_43
    | spl0_81
    | ~ spl0_83 ),
    inference(subsumption_resolution,[],[f4402,f649]) ).

fof(f649,plain,
    ( ~ c3_1(a418)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f4402,plain,
    ( c1_1(a418)
    | c3_1(a418)
    | ~ spl0_43
    | ~ spl0_83 ),
    inference(resolution,[],[f443,f659]) ).

fof(f4408,plain,
    ( spl0_174
    | ~ spl0_43
    | spl0_153
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f4407,f1041,f1031,f442,f2285]) ).

fof(f2285,plain,
    ( spl0_174
  <=> c3_1(a356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f1031,plain,
    ( spl0_153
  <=> c1_1(a356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1041,plain,
    ( spl0_155
  <=> c0_1(a356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f4407,plain,
    ( c3_1(a356)
    | ~ spl0_43
    | spl0_153
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f4394,f1033]) ).

fof(f1033,plain,
    ( ~ c1_1(a356)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f1031]) ).

fof(f4394,plain,
    ( c1_1(a356)
    | c3_1(a356)
    | ~ spl0_43
    | ~ spl0_155 ),
    inference(resolution,[],[f443,f1043]) ).

fof(f1043,plain,
    ( c0_1(a356)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1041]) ).

fof(f4298,plain,
    ( ~ spl0_19
    | ~ spl0_26
    | ~ spl0_72
    | ~ spl0_74 ),
    inference(avatar_contradiction_clause,[],[f4297]) ).

fof(f4297,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_26
    | ~ spl0_72
    | ~ spl0_74 ),
    inference(subsumption_resolution,[],[f4289,f601]) ).

fof(f4289,plain,
    ( ~ c2_1(a372)
    | ~ spl0_19
    | ~ spl0_26
    | ~ spl0_74 ),
    inference(resolution,[],[f4249,f611]) ).

fof(f4249,plain,
    ( ! [X7] :
        ( ~ c0_1(X7)
        | ~ c2_1(X7) )
    | ~ spl0_19
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f370,f341]) ).

fof(f341,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f340,plain,
    ( spl0_19
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f4293,plain,
    ( ~ spl0_19
    | ~ spl0_26
    | ~ spl0_154
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f4292]) ).

fof(f4292,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_26
    | ~ spl0_154
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f4283,f1038]) ).

fof(f1038,plain,
    ( c2_1(a356)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f1036]) ).

fof(f1036,plain,
    ( spl0_154
  <=> c2_1(a356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f4283,plain,
    ( ~ c2_1(a356)
    | ~ spl0_19
    | ~ spl0_26
    | ~ spl0_155 ),
    inference(resolution,[],[f4249,f1043]) ).

fof(f4280,plain,
    ( ~ spl0_54
    | ~ spl0_59
    | spl0_102
    | spl0_104 ),
    inference(avatar_contradiction_clause,[],[f4279]) ).

fof(f4279,plain,
    ( $false
    | ~ spl0_54
    | ~ spl0_59
    | spl0_102
    | spl0_104 ),
    inference(subsumption_resolution,[],[f4270,f771]) ).

fof(f771,plain,
    ( ~ c0_1(a387)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f769,plain,
    ( spl0_104
  <=> c0_1(a387) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f4270,plain,
    ( c0_1(a387)
    | ~ spl0_54
    | ~ spl0_59
    | spl0_102 ),
    inference(resolution,[],[f4248,f761]) ).

fof(f761,plain,
    ( ~ c2_1(a387)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f759]) ).

fof(f759,plain,
    ( spl0_102
  <=> c2_1(a387) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f4248,plain,
    ( ! [X88] :
        ( c2_1(X88)
        | c0_1(X88) )
    | ~ spl0_54
    | ~ spl0_59 ),
    inference(subsumption_resolution,[],[f527,f499]) ).

fof(f499,plain,
    ( ! [X67] :
        ( ~ c3_1(X67)
        | c0_1(X67)
        | c2_1(X67) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f498,plain,
    ( spl0_54
  <=> ! [X67] :
        ( ~ c3_1(X67)
        | c0_1(X67)
        | c2_1(X67) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f4278,plain,
    ( ~ spl0_54
    | ~ spl0_59
    | spl0_130
    | spl0_131 ),
    inference(avatar_contradiction_clause,[],[f4277]) ).

fof(f4277,plain,
    ( $false
    | ~ spl0_54
    | ~ spl0_59
    | spl0_130
    | spl0_131 ),
    inference(subsumption_resolution,[],[f4269,f915]) ).

fof(f915,plain,
    ( ~ c0_1(a366)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f913,plain,
    ( spl0_131
  <=> c0_1(a366) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f4269,plain,
    ( c0_1(a366)
    | ~ spl0_54
    | ~ spl0_59
    | spl0_130 ),
    inference(resolution,[],[f4248,f910]) ).

fof(f910,plain,
    ( ~ c2_1(a366)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f908,plain,
    ( spl0_130
  <=> c2_1(a366) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f4276,plain,
    ( ~ spl0_54
    | ~ spl0_59
    | spl0_142
    | spl0_175 ),
    inference(avatar_contradiction_clause,[],[f4275]) ).

fof(f4275,plain,
    ( $false
    | ~ spl0_54
    | ~ spl0_59
    | spl0_142
    | spl0_175 ),
    inference(subsumption_resolution,[],[f4267,f2348]) ).

fof(f2348,plain,
    ( ~ c0_1(a360)
    | spl0_175 ),
    inference(avatar_component_clause,[],[f2346]) ).

fof(f4267,plain,
    ( c0_1(a360)
    | ~ spl0_54
    | ~ spl0_59
    | spl0_142 ),
    inference(resolution,[],[f4248,f974]) ).

fof(f974,plain,
    ( ~ c2_1(a360)
    | spl0_142 ),
    inference(avatar_component_clause,[],[f972]) ).

fof(f972,plain,
    ( spl0_142
  <=> c2_1(a360) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f4253,plain,
    ( spl0_90
    | spl0_168
    | ~ spl0_54
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f3917,f700,f498,f2078,f695]) ).

fof(f695,plain,
    ( spl0_90
  <=> c2_1(a398) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f2078,plain,
    ( spl0_168
  <=> c0_1(a398) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f700,plain,
    ( spl0_91
  <=> c3_1(a398) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f3917,plain,
    ( c0_1(a398)
    | c2_1(a398)
    | ~ spl0_54
    | ~ spl0_91 ),
    inference(resolution,[],[f499,f702]) ).

fof(f702,plain,
    ( c3_1(a398)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f4241,plain,
    ( spl0_90
    | ~ spl0_29
    | ~ spl0_91
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f4240,f705,f700,f383,f695]) ).

fof(f705,plain,
    ( spl0_92
  <=> c1_1(a398) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f4240,plain,
    ( c2_1(a398)
    | ~ spl0_29
    | ~ spl0_91
    | ~ spl0_92 ),
    inference(subsumption_resolution,[],[f4212,f707]) ).

fof(f707,plain,
    ( c1_1(a398)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f4212,plain,
    ( c2_1(a398)
    | ~ c1_1(a398)
    | ~ spl0_29
    | ~ spl0_91 ),
    inference(resolution,[],[f384,f702]) ).

fof(f4239,plain,
    ( ~ spl0_70
    | ~ spl0_29
    | ~ spl0_69
    | spl0_162 ),
    inference(avatar_split_clause,[],[f4236,f1111,f583,f383,f588]) ).

fof(f588,plain,
    ( spl0_70
  <=> c1_1(a373) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f583,plain,
    ( spl0_69
  <=> c3_1(a373) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1111,plain,
    ( spl0_162
  <=> c2_1(a373) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f4236,plain,
    ( ~ c1_1(a373)
    | ~ spl0_29
    | ~ spl0_69
    | spl0_162 ),
    inference(subsumption_resolution,[],[f4216,f1113]) ).

fof(f1113,plain,
    ( ~ c2_1(a373)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1111]) ).

fof(f4216,plain,
    ( c2_1(a373)
    | ~ c1_1(a373)
    | ~ spl0_29
    | ~ spl0_69 ),
    inference(resolution,[],[f384,f585]) ).

fof(f585,plain,
    ( c3_1(a373)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f4174,plain,
    ( ~ spl0_32
    | ~ spl0_42
    | spl0_87
    | ~ spl0_89 ),
    inference(avatar_contradiction_clause,[],[f4173]) ).

fof(f4173,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_42
    | spl0_87
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f4159,f681]) ).

fof(f4159,plain,
    ( c3_1(a399)
    | ~ spl0_32
    | ~ spl0_42
    | ~ spl0_89 ),
    inference(resolution,[],[f4133,f691]) ).

fof(f691,plain,
    ( c1_1(a399)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f689,plain,
    ( spl0_89
  <=> c1_1(a399) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f4133,plain,
    ( ! [X30] :
        ( ~ c1_1(X30)
        | c3_1(X30) )
    | ~ spl0_32
    | ~ spl0_42 ),
    inference(subsumption_resolution,[],[f439,f396]) ).

fof(f396,plain,
    ( ! [X14] :
        ( ~ c1_1(X14)
        | c2_1(X14)
        | c3_1(X14) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f395,plain,
    ( spl0_32
  <=> ! [X14] :
        ( ~ c1_1(X14)
        | c2_1(X14)
        | c3_1(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f439,plain,
    ( ! [X30] :
        ( ~ c2_1(X30)
        | c3_1(X30)
        | ~ c1_1(X30) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f438,plain,
    ( spl0_42
  <=> ! [X30] :
        ( ~ c2_1(X30)
        | c3_1(X30)
        | ~ c1_1(X30) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f4170,plain,
    ( ~ spl0_32
    | ~ spl0_42
    | spl0_108
    | ~ spl0_109 ),
    inference(avatar_contradiction_clause,[],[f4169]) ).

fof(f4169,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_42
    | spl0_108
    | ~ spl0_109 ),
    inference(subsumption_resolution,[],[f4155,f793]) ).

fof(f4155,plain,
    ( c3_1(a380)
    | ~ spl0_32
    | ~ spl0_42
    | ~ spl0_109 ),
    inference(resolution,[],[f4133,f798]) ).

fof(f798,plain,
    ( c1_1(a380)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f796,plain,
    ( spl0_109
  <=> c1_1(a380) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f4167,plain,
    ( ~ spl0_32
    | ~ spl0_42
    | spl0_135
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f4166]) ).

fof(f4166,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_42
    | spl0_135
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f4152,f937]) ).

fof(f937,plain,
    ( ~ c3_1(a363)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f935,plain,
    ( spl0_135
  <=> c3_1(a363) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f4152,plain,
    ( c3_1(a363)
    | ~ spl0_32
    | ~ spl0_42
    | ~ spl0_137 ),
    inference(resolution,[],[f4133,f947]) ).

fof(f947,plain,
    ( c1_1(a363)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f945]) ).

fof(f945,plain,
    ( spl0_137
  <=> c1_1(a363) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f4135,plain,
    ( spl0_165
    | spl0_115
    | ~ spl0_43
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f3582,f833,f442,f828,f1330]) ).

fof(f1330,plain,
    ( spl0_165
  <=> c3_1(a376) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f828,plain,
    ( spl0_115
  <=> c1_1(a376) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f833,plain,
    ( spl0_116
  <=> c0_1(a376) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f3582,plain,
    ( c1_1(a376)
    | c3_1(a376)
    | ~ spl0_43
    | ~ spl0_116 ),
    inference(resolution,[],[f443,f835]) ).

fof(f835,plain,
    ( c0_1(a376)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f4132,plain,
    ( ~ spl0_177
    | ~ spl0_50
    | spl0_106
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f4131,f785,f780,f477,f2490]) ).

fof(f2490,plain,
    ( spl0_177
  <=> c1_1(a382) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f477,plain,
    ( spl0_50
  <=> ! [X49] :
        ( ~ c3_1(X49)
        | c0_1(X49)
        | ~ c1_1(X49) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f780,plain,
    ( spl0_106
  <=> c0_1(a382) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f785,plain,
    ( spl0_107
  <=> c3_1(a382) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f4131,plain,
    ( ~ c1_1(a382)
    | ~ spl0_50
    | spl0_106
    | ~ spl0_107 ),
    inference(subsumption_resolution,[],[f3862,f782]) ).

fof(f782,plain,
    ( ~ c0_1(a382)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f3862,plain,
    ( c0_1(a382)
    | ~ c1_1(a382)
    | ~ spl0_50
    | ~ spl0_107 ),
    inference(resolution,[],[f478,f787]) ).

fof(f787,plain,
    ( c3_1(a382)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f478,plain,
    ( ! [X49] :
        ( ~ c3_1(X49)
        | c0_1(X49)
        | ~ c1_1(X49) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f4130,plain,
    ( spl0_120
    | spl0_173
    | ~ spl0_43
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f3581,f865,f442,f2249,f855]) ).

fof(f2249,plain,
    ( spl0_173
  <=> c1_1(a370) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f3581,plain,
    ( c1_1(a370)
    | c3_1(a370)
    | ~ spl0_43
    | ~ spl0_122 ),
    inference(resolution,[],[f443,f867]) ).

fof(f4125,plain,
    ( spl0_108
    | spl0_170
    | ~ spl0_32
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f3677,f796,f395,f2175,f791]) ).

fof(f3677,plain,
    ( c2_1(a380)
    | c3_1(a380)
    | ~ spl0_32
    | ~ spl0_109 ),
    inference(resolution,[],[f396,f798]) ).

fof(f4112,plain,
    ( spl0_87
    | spl0_180
    | ~ spl0_32
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f3680,f689,f395,f3121,f679]) ).

fof(f3680,plain,
    ( c2_1(a399)
    | c3_1(a399)
    | ~ spl0_32
    | ~ spl0_89 ),
    inference(resolution,[],[f396,f691]) ).

fof(f4111,plain,
    ( spl0_97
    | ~ spl0_32
    | ~ spl0_54
    | spl0_96
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f4110,f737,f727,f498,f395,f732]) ).

fof(f737,plain,
    ( spl0_98
  <=> c1_1(a395) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f4110,plain,
    ( c0_1(a395)
    | ~ spl0_32
    | ~ spl0_54
    | spl0_96
    | ~ spl0_98 ),
    inference(subsumption_resolution,[],[f3939,f729]) ).

fof(f3939,plain,
    ( c0_1(a395)
    | c2_1(a395)
    | ~ spl0_32
    | ~ spl0_54
    | spl0_96
    | ~ spl0_98 ),
    inference(resolution,[],[f3767,f499]) ).

fof(f3767,plain,
    ( c3_1(a395)
    | ~ spl0_32
    | spl0_96
    | ~ spl0_98 ),
    inference(subsumption_resolution,[],[f3766,f729]) ).

fof(f3766,plain,
    ( c2_1(a395)
    | c3_1(a395)
    | ~ spl0_32
    | ~ spl0_98 ),
    inference(resolution,[],[f739,f396]) ).

fof(f739,plain,
    ( c1_1(a395)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f4106,plain,
    ( spl0_143
    | ~ spl0_43
    | ~ spl0_62
    | spl0_141 ),
    inference(avatar_split_clause,[],[f4082,f967,f543,f442,f977]) ).

fof(f543,plain,
    ( spl0_62
  <=> ! [X104] :
        ( c3_1(X104)
        | c0_1(X104)
        | c1_1(X104) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f967,plain,
    ( spl0_141
  <=> c3_1(a360) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f4082,plain,
    ( c1_1(a360)
    | ~ spl0_43
    | ~ spl0_62
    | spl0_141 ),
    inference(resolution,[],[f4075,f969]) ).

fof(f969,plain,
    ( ~ c3_1(a360)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f967]) ).

fof(f4075,plain,
    ( ! [X104] :
        ( c3_1(X104)
        | c1_1(X104) )
    | ~ spl0_43
    | ~ spl0_62 ),
    inference(subsumption_resolution,[],[f544,f443]) ).

fof(f544,plain,
    ( ! [X104] :
        ( c3_1(X104)
        | c0_1(X104)
        | c1_1(X104) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f4105,plain,
    ( spl0_105
    | ~ spl0_54
    | spl0_106
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f4104,f785,f780,f498,f775]) ).

fof(f775,plain,
    ( spl0_105
  <=> c2_1(a382) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f4104,plain,
    ( c2_1(a382)
    | ~ spl0_54
    | spl0_106
    | ~ spl0_107 ),
    inference(subsumption_resolution,[],[f3916,f782]) ).

fof(f3916,plain,
    ( c0_1(a382)
    | c2_1(a382)
    | ~ spl0_54
    | ~ spl0_107 ),
    inference(resolution,[],[f499,f787]) ).

fof(f4094,plain,
    ( ~ spl0_43
    | ~ spl0_62
    | spl0_111
    | spl0_112 ),
    inference(avatar_contradiction_clause,[],[f4093]) ).

fof(f4093,plain,
    ( $false
    | ~ spl0_43
    | ~ spl0_62
    | spl0_111
    | spl0_112 ),
    inference(subsumption_resolution,[],[f4085,f814]) ).

fof(f814,plain,
    ( ~ c1_1(a379)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f812,plain,
    ( spl0_112
  <=> c1_1(a379) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f4085,plain,
    ( c1_1(a379)
    | ~ spl0_43
    | ~ spl0_62
    | spl0_111 ),
    inference(resolution,[],[f4075,f809]) ).

fof(f809,plain,
    ( ~ c3_1(a379)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f807,plain,
    ( spl0_111
  <=> c3_1(a379) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f3974,plain,
    ( ~ spl0_50
    | ~ spl0_60
    | spl0_106
    | ~ spl0_107 ),
    inference(avatar_contradiction_clause,[],[f3973]) ).

fof(f3973,plain,
    ( $false
    | ~ spl0_50
    | ~ spl0_60
    | spl0_106
    | ~ spl0_107 ),
    inference(subsumption_resolution,[],[f3956,f782]) ).

fof(f3956,plain,
    ( c0_1(a382)
    | ~ spl0_50
    | ~ spl0_60
    | ~ spl0_107 ),
    inference(resolution,[],[f3938,f787]) ).

fof(f3938,plain,
    ( ! [X91] :
        ( ~ c3_1(X91)
        | c0_1(X91) )
    | ~ spl0_50
    | ~ spl0_60 ),
    inference(subsumption_resolution,[],[f532,f478]) ).

fof(f532,plain,
    ( ! [X91] :
        ( ~ c3_1(X91)
        | c0_1(X91)
        | c1_1(X91) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f531,plain,
    ( spl0_60
  <=> ! [X91] :
        ( ~ c3_1(X91)
        | c0_1(X91)
        | c1_1(X91) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f3882,plain,
    ( spl0_168
    | ~ spl0_50
    | ~ spl0_91
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f3881,f705,f700,f477,f2078]) ).

fof(f3881,plain,
    ( c0_1(a398)
    | ~ spl0_50
    | ~ spl0_91
    | ~ spl0_92 ),
    inference(subsumption_resolution,[],[f3863,f707]) ).

fof(f3863,plain,
    ( c0_1(a398)
    | ~ c1_1(a398)
    | ~ spl0_50
    | ~ spl0_91 ),
    inference(resolution,[],[f478,f702]) ).

fof(f3813,plain,
    ( ~ spl0_171
    | ~ spl0_19
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f3812,f1057,f1052,f340,f2184]) ).

fof(f2184,plain,
    ( spl0_171
  <=> c2_1(a355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f1052,plain,
    ( spl0_157
  <=> c3_1(a355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1057,plain,
    ( spl0_158
  <=> c0_1(a355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f3812,plain,
    ( ~ c2_1(a355)
    | ~ spl0_19
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f3792,f1059]) ).

fof(f1059,plain,
    ( c0_1(a355)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1057]) ).

fof(f3792,plain,
    ( ~ c0_1(a355)
    | ~ c2_1(a355)
    | ~ spl0_19
    | ~ spl0_157 ),
    inference(resolution,[],[f341,f1054]) ).

fof(f1054,plain,
    ( c3_1(a355)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1052]) ).

fof(f3757,plain,
    ( spl0_171
    | ~ spl0_45
    | spl0_156
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f3720,f1052,f1047,f452,f2184]) ).

fof(f1047,plain,
    ( spl0_156
  <=> c1_1(a355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f3720,plain,
    ( c2_1(a355)
    | ~ spl0_45
    | spl0_156
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f3698,f1049]) ).

fof(f1049,plain,
    ( ~ c1_1(a355)
    | spl0_156 ),
    inference(avatar_component_clause,[],[f1047]) ).

fof(f3698,plain,
    ( c1_1(a355)
    | c2_1(a355)
    | ~ spl0_45
    | ~ spl0_157 ),
    inference(resolution,[],[f453,f1054]) ).

fof(f3755,plain,
    ( spl0_166
    | ~ spl0_45
    | spl0_123
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f3754,f876,f871,f452,f1335]) ).

fof(f871,plain,
    ( spl0_123
  <=> c2_1(a369) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f3754,plain,
    ( c1_1(a369)
    | ~ spl0_45
    | spl0_123
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f3704,f873]) ).

fof(f873,plain,
    ( ~ c2_1(a369)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f871]) ).

fof(f3704,plain,
    ( c1_1(a369)
    | c2_1(a369)
    | ~ spl0_45
    | ~ spl0_124 ),
    inference(resolution,[],[f453,f878]) ).

fof(f3749,plain,
    ( spl0_114
    | ~ spl0_45
    | spl0_115
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f3738,f1330,f828,f452,f823]) ).

fof(f823,plain,
    ( spl0_114
  <=> c2_1(a376) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f3738,plain,
    ( c2_1(a376)
    | ~ spl0_45
    | spl0_115
    | ~ spl0_165 ),
    inference(subsumption_resolution,[],[f3707,f830]) ).

fof(f830,plain,
    ( ~ c1_1(a376)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f3707,plain,
    ( c1_1(a376)
    | c2_1(a376)
    | ~ spl0_45
    | ~ spl0_165 ),
    inference(resolution,[],[f453,f1332]) ).

fof(f1332,plain,
    ( c3_1(a376)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1330]) ).

fof(f3748,plain,
    ( spl0_105
    | ~ spl0_45
    | ~ spl0_107
    | spl0_177 ),
    inference(avatar_split_clause,[],[f3741,f2490,f785,f452,f775]) ).

fof(f3741,plain,
    ( c2_1(a382)
    | ~ spl0_45
    | ~ spl0_107
    | spl0_177 ),
    inference(subsumption_resolution,[],[f3709,f2491]) ).

fof(f2491,plain,
    ( ~ c1_1(a382)
    | spl0_177 ),
    inference(avatar_component_clause,[],[f2490]) ).

fof(f3709,plain,
    ( c1_1(a382)
    | c2_1(a382)
    | ~ spl0_45
    | ~ spl0_107 ),
    inference(resolution,[],[f453,f787]) ).

fof(f3719,plain,
    ( spl0_47
    | ~ spl0_27
    | ~ spl0_43
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f3697,f452,f442,f374,f462]) ).

fof(f374,plain,
    ( spl0_27
  <=> ! [X10] :
        ( ~ c1_1(X10)
        | c3_1(X10)
        | ~ c0_1(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f3697,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_27
    | ~ spl0_43
    | ~ spl0_45 ),
    inference(resolution,[],[f453,f3633]) ).

fof(f3633,plain,
    ( ! [X10] :
        ( c3_1(X10)
        | ~ c0_1(X10) )
    | ~ spl0_27
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f375,f443]) ).

fof(f375,plain,
    ( ! [X10] :
        ( ~ c1_1(X10)
        | c3_1(X10)
        | ~ c0_1(X10) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f3662,plain,
    ( spl0_24
    | ~ spl0_17
    | ~ spl0_27
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f3653,f442,f374,f331,f361]) ).

fof(f361,plain,
    ( spl0_24
  <=> ! [X5] :
        ( ~ c2_1(X5)
        | ~ c0_1(X5)
        | ~ c1_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f331,plain,
    ( spl0_17
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f3653,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_17
    | ~ spl0_27
    | ~ spl0_43 ),
    inference(resolution,[],[f3633,f332]) ).

fof(f332,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f3641,plain,
    ( ~ spl0_77
    | ~ spl0_17
    | ~ spl0_75
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f3640,f620,f615,f331,f625]) ).

fof(f620,plain,
    ( spl0_76
  <=> c2_1(a365) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f3640,plain,
    ( ~ c1_1(a365)
    | ~ spl0_17
    | ~ spl0_75
    | ~ spl0_76 ),
    inference(subsumption_resolution,[],[f3639,f622]) ).

fof(f622,plain,
    ( c2_1(a365)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f3639,plain,
    ( ~ c1_1(a365)
    | ~ c2_1(a365)
    | ~ spl0_17
    | ~ spl0_75 ),
    inference(resolution,[],[f617,f332]) ).

fof(f3634,plain,
    ( ~ spl0_75
    | spl0_169
    | ~ spl0_48
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f3412,f620,f466,f2083,f615]) ).

fof(f3412,plain,
    ( c0_1(a365)
    | ~ c3_1(a365)
    | ~ spl0_48
    | ~ spl0_76 ),
    inference(resolution,[],[f467,f622]) ).

fof(f3609,plain,
    ( ~ spl0_19
    | ~ spl0_45
    | ~ spl0_48
    | spl0_153
    | ~ spl0_174 ),
    inference(avatar_contradiction_clause,[],[f3608]) ).

fof(f3608,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_45
    | ~ spl0_48
    | spl0_153
    | ~ spl0_174 ),
    inference(subsumption_resolution,[],[f3594,f1033]) ).

fof(f3594,plain,
    ( c1_1(a356)
    | ~ spl0_19
    | ~ spl0_45
    | ~ spl0_48
    | ~ spl0_174 ),
    inference(resolution,[],[f3592,f2287]) ).

fof(f2287,plain,
    ( c3_1(a356)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f2285]) ).

fof(f3592,plain,
    ( ! [X37] :
        ( ~ c3_1(X37)
        | c1_1(X37) )
    | ~ spl0_19
    | ~ spl0_45
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f453,f3507]) ).

fof(f3507,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_19
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f341,f467]) ).

fof(f3529,plain,
    ( ~ spl0_17
    | ~ spl0_42
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f3528]) ).

fof(f3528,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_42
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f3522,f947]) ).

fof(f3522,plain,
    ( ~ c1_1(a363)
    | ~ spl0_17
    | ~ spl0_42
    | ~ spl0_136 ),
    inference(resolution,[],[f3476,f942]) ).

fof(f942,plain,
    ( c2_1(a363)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f940,plain,
    ( spl0_136
  <=> c2_1(a363) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f3476,plain,
    ( ! [X30] :
        ( ~ c2_1(X30)
        | ~ c1_1(X30) )
    | ~ spl0_17
    | ~ spl0_42 ),
    inference(subsumption_resolution,[],[f439,f332]) ).

fof(f3518,plain,
    ( spl0_170
    | ~ spl0_34
    | ~ spl0_109
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f3517,f801,f796,f403,f2175]) ).

fof(f403,plain,
    ( spl0_34
  <=> ! [X16] :
        ( ~ c1_1(X16)
        | c2_1(X16)
        | ~ c0_1(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f3517,plain,
    ( c2_1(a380)
    | ~ spl0_34
    | ~ spl0_109
    | ~ spl0_110 ),
    inference(subsumption_resolution,[],[f3516,f803]) ).

fof(f3516,plain,
    ( c2_1(a380)
    | ~ c0_1(a380)
    | ~ spl0_34
    | ~ spl0_109 ),
    inference(resolution,[],[f798,f404]) ).

fof(f404,plain,
    ( ! [X16] :
        ( ~ c1_1(X16)
        | c2_1(X16)
        | ~ c0_1(X16) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f3481,plain,
    ( ~ spl0_154
    | spl0_153
    | ~ spl0_40
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f3354,f1041,f430,f1031,f1036]) ).

fof(f430,plain,
    ( spl0_40
  <=> ! [X26] :
        ( ~ c2_1(X26)
        | c1_1(X26)
        | ~ c0_1(X26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f3354,plain,
    ( c1_1(a356)
    | ~ c2_1(a356)
    | ~ spl0_40
    | ~ spl0_155 ),
    inference(resolution,[],[f431,f1043]) ).

fof(f431,plain,
    ( ! [X26] :
        ( ~ c0_1(X26)
        | c1_1(X26)
        | ~ c2_1(X26) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f3473,plain,
    ( spl0_108
    | spl0_170
    | ~ spl0_35
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f3465,f801,f407,f2175,f791]) ).

fof(f407,plain,
    ( spl0_35
  <=> ! [X18] :
        ( ~ c0_1(X18)
        | c2_1(X18)
        | c3_1(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f3465,plain,
    ( c2_1(a380)
    | c3_1(a380)
    | ~ spl0_35
    | ~ spl0_110 ),
    inference(resolution,[],[f803,f408]) ).

fof(f408,plain,
    ( ! [X18] :
        ( ~ c0_1(X18)
        | c2_1(X18)
        | c3_1(X18) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f3470,plain,
    ( spl0_108
    | ~ spl0_26
    | ~ spl0_35
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f3464,f801,f407,f369,f791]) ).

fof(f3464,plain,
    ( c3_1(a380)
    | ~ spl0_26
    | ~ spl0_35
    | ~ spl0_110 ),
    inference(resolution,[],[f803,f3323]) ).

fof(f3323,plain,
    ( ! [X7] :
        ( ~ c0_1(X7)
        | c3_1(X7) )
    | ~ spl0_26
    | ~ spl0_35 ),
    inference(subsumption_resolution,[],[f370,f408]) ).

fof(f3454,plain,
    ( ~ spl0_27
    | ~ spl0_53
    | spl0_135
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f3453]) ).

fof(f3453,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_53
    | spl0_135
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f3444,f937]) ).

fof(f3444,plain,
    ( c3_1(a363)
    | ~ spl0_27
    | ~ spl0_53
    | ~ spl0_137 ),
    inference(resolution,[],[f3434,f947]) ).

fof(f3434,plain,
    ( ! [X62] :
        ( ~ c1_1(X62)
        | c3_1(X62) )
    | ~ spl0_27
    | ~ spl0_53 ),
    inference(subsumption_resolution,[],[f493,f375]) ).

fof(f493,plain,
    ( ! [X62] :
        ( ~ c1_1(X62)
        | c0_1(X62)
        | c3_1(X62) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f492]) ).

fof(f492,plain,
    ( spl0_53
  <=> ! [X62] :
        ( ~ c1_1(X62)
        | c0_1(X62)
        | c3_1(X62) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f3437,plain,
    ( ~ spl0_127
    | spl0_164
    | ~ spl0_48
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f3408,f897,f466,f1298,f892]) ).

fof(f3408,plain,
    ( c0_1(a368)
    | ~ c3_1(a368)
    | ~ spl0_48
    | ~ spl0_128 ),
    inference(resolution,[],[f467,f899]) ).

fof(f3320,plain,
    ( ~ spl0_34
    | spl0_82
    | ~ spl0_83
    | ~ spl0_176 ),
    inference(avatar_contradiction_clause,[],[f3319]) ).

fof(f3319,plain,
    ( $false
    | ~ spl0_34
    | spl0_82
    | ~ spl0_83
    | ~ spl0_176 ),
    inference(subsumption_resolution,[],[f3318,f659]) ).

fof(f3318,plain,
    ( ~ c0_1(a418)
    | ~ spl0_34
    | spl0_82
    | ~ spl0_176 ),
    inference(subsumption_resolution,[],[f3304,f654]) ).

fof(f3304,plain,
    ( c2_1(a418)
    | ~ c0_1(a418)
    | ~ spl0_34
    | ~ spl0_176 ),
    inference(resolution,[],[f404,f2486]) ).

fof(f2486,plain,
    ( c1_1(a418)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f2484]) ).

fof(f3317,plain,
    ( ~ spl0_168
    | ~ spl0_34
    | spl0_90
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f3316,f705,f695,f403,f2078]) ).

fof(f3316,plain,
    ( ~ c0_1(a398)
    | ~ spl0_34
    | spl0_90
    | ~ spl0_92 ),
    inference(subsumption_resolution,[],[f3302,f697]) ).

fof(f697,plain,
    ( ~ c2_1(a398)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f3302,plain,
    ( c2_1(a398)
    | ~ c0_1(a398)
    | ~ spl0_34
    | ~ spl0_92 ),
    inference(resolution,[],[f404,f707]) ).

fof(f3308,plain,
    ( ~ spl0_34
    | spl0_159
    | ~ spl0_160
    | ~ spl0_161 ),
    inference(avatar_contradiction_clause,[],[f3307]) ).

fof(f3307,plain,
    ( $false
    | ~ spl0_34
    | spl0_159
    | ~ spl0_160
    | ~ spl0_161 ),
    inference(subsumption_resolution,[],[f3306,f1075]) ).

fof(f1075,plain,
    ( c0_1(a353)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1073]) ).

fof(f1073,plain,
    ( spl0_161
  <=> c0_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f3306,plain,
    ( ~ c0_1(a353)
    | ~ spl0_34
    | spl0_159
    | ~ spl0_160 ),
    inference(subsumption_resolution,[],[f3294,f1065]) ).

fof(f1065,plain,
    ( ~ c2_1(a353)
    | spl0_159 ),
    inference(avatar_component_clause,[],[f1063]) ).

fof(f1063,plain,
    ( spl0_159
  <=> c2_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f3294,plain,
    ( c2_1(a353)
    | ~ c0_1(a353)
    | ~ spl0_34
    | ~ spl0_160 ),
    inference(resolution,[],[f404,f1070]) ).

fof(f1070,plain,
    ( c1_1(a353)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1068]) ).

fof(f1068,plain,
    ( spl0_160
  <=> c1_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f3271,plain,
    ( spl0_120
    | ~ spl0_27
    | ~ spl0_122
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f3270,f2249,f865,f374,f855]) ).

fof(f3270,plain,
    ( c3_1(a370)
    | ~ spl0_27
    | ~ spl0_122
    | ~ spl0_173 ),
    inference(subsumption_resolution,[],[f3242,f867]) ).

fof(f3242,plain,
    ( c3_1(a370)
    | ~ c0_1(a370)
    | ~ spl0_27
    | ~ spl0_173 ),
    inference(resolution,[],[f375,f2251]) ).

fof(f2251,plain,
    ( c1_1(a370)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f2249]) ).

fof(f3236,plain,
    ( ~ spl0_162
    | ~ spl0_19
    | ~ spl0_69
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f3235,f593,f583,f340,f1111]) ).

fof(f593,plain,
    ( spl0_71
  <=> c0_1(a373) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f3235,plain,
    ( ~ c2_1(a373)
    | ~ spl0_19
    | ~ spl0_69
    | ~ spl0_71 ),
    inference(subsumption_resolution,[],[f3231,f595]) ).

fof(f595,plain,
    ( c0_1(a373)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f3231,plain,
    ( ~ c0_1(a373)
    | ~ c2_1(a373)
    | ~ spl0_19
    | ~ spl0_69 ),
    inference(resolution,[],[f341,f585]) ).

fof(f3209,plain,
    ( ~ spl0_162
    | ~ spl0_70
    | ~ spl0_17
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f3151,f583,f331,f588,f1111]) ).

fof(f3151,plain,
    ( ~ c1_1(a373)
    | ~ c2_1(a373)
    | ~ spl0_17
    | ~ spl0_69 ),
    inference(resolution,[],[f585,f332]) ).

fof(f3202,plain,
    ( ~ spl0_24
    | ~ spl0_109
    | ~ spl0_110
    | ~ spl0_170 ),
    inference(avatar_contradiction_clause,[],[f3201]) ).

fof(f3201,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_109
    | ~ spl0_110
    | ~ spl0_170 ),
    inference(subsumption_resolution,[],[f3200,f798]) ).

fof(f3200,plain,
    ( ~ c1_1(a380)
    | ~ spl0_24
    | ~ spl0_110
    | ~ spl0_170 ),
    inference(subsumption_resolution,[],[f3186,f803]) ).

fof(f3186,plain,
    ( ~ c0_1(a380)
    | ~ c1_1(a380)
    | ~ spl0_24
    | ~ spl0_170 ),
    inference(resolution,[],[f362,f2177]) ).

fof(f2177,plain,
    ( c2_1(a380)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f2175]) ).

fof(f362,plain,
    ( ! [X5] :
        ( ~ c2_1(X5)
        | ~ c0_1(X5)
        | ~ c1_1(X5) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f3199,plain,
    ( ~ spl0_24
    | ~ spl0_121
    | ~ spl0_122
    | ~ spl0_173 ),
    inference(avatar_contradiction_clause,[],[f3198]) ).

fof(f3198,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_121
    | ~ spl0_122
    | ~ spl0_173 ),
    inference(subsumption_resolution,[],[f3197,f2251]) ).

fof(f3197,plain,
    ( ~ c1_1(a370)
    | ~ spl0_24
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f3184,f867]) ).

fof(f3184,plain,
    ( ~ c0_1(a370)
    | ~ c1_1(a370)
    | ~ spl0_24
    | ~ spl0_121 ),
    inference(resolution,[],[f362,f862]) ).

fof(f862,plain,
    ( c2_1(a370)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f3174,plain,
    ( ~ spl0_171
    | ~ spl0_17
    | ~ spl0_37
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f3172,f1052,f417,f331,f2184]) ).

fof(f3172,plain,
    ( ~ c2_1(a355)
    | ~ spl0_17
    | ~ spl0_37
    | ~ spl0_157 ),
    inference(resolution,[],[f1054,f2033]) ).

fof(f2033,plain,
    ( ! [X22] :
        ( ~ c3_1(X22)
        | ~ c2_1(X22) )
    | ~ spl0_17
    | ~ spl0_37 ),
    inference(subsumption_resolution,[],[f418,f332]) ).

fof(f3146,plain,
    ( ~ spl0_34
    | spl0_123
    | ~ spl0_125
    | ~ spl0_166 ),
    inference(avatar_contradiction_clause,[],[f3145]) ).

fof(f3145,plain,
    ( $false
    | ~ spl0_34
    | spl0_123
    | ~ spl0_125
    | ~ spl0_166 ),
    inference(subsumption_resolution,[],[f3144,f883]) ).

fof(f883,plain,
    ( c0_1(a369)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f881,plain,
    ( spl0_125
  <=> c0_1(a369) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f3144,plain,
    ( ~ c0_1(a369)
    | ~ spl0_34
    | spl0_123
    | ~ spl0_166 ),
    inference(subsumption_resolution,[],[f3143,f873]) ).

fof(f3143,plain,
    ( c2_1(a369)
    | ~ c0_1(a369)
    | ~ spl0_34
    | ~ spl0_166 ),
    inference(resolution,[],[f1337,f404]) ).

fof(f1337,plain,
    ( c1_1(a369)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1335]) ).

fof(f3117,plain,
    ( ~ spl0_21
    | ~ spl0_50
    | ~ spl0_91
    | ~ spl0_92 ),
    inference(avatar_contradiction_clause,[],[f3116]) ).

fof(f3116,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_50
    | ~ spl0_91
    | ~ spl0_92 ),
    inference(subsumption_resolution,[],[f3114,f707]) ).

fof(f3114,plain,
    ( ~ c1_1(a398)
    | ~ spl0_21
    | ~ spl0_50
    | ~ spl0_91 ),
    inference(resolution,[],[f3111,f702]) ).

fof(f3111,plain,
    ( ! [X49] :
        ( ~ c3_1(X49)
        | ~ c1_1(X49) )
    | ~ spl0_21
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f478,f350]) ).

fof(f3046,plain,
    ( spl0_115
    | ~ spl0_17
    | ~ spl0_37
    | ~ spl0_45
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f3043,f1330,f452,f417,f331,f828]) ).

fof(f3043,plain,
    ( c1_1(a376)
    | ~ spl0_17
    | ~ spl0_37
    | ~ spl0_45
    | ~ spl0_165 ),
    inference(resolution,[],[f1332,f3035]) ).

fof(f3035,plain,
    ( ! [X37] :
        ( ~ c3_1(X37)
        | c1_1(X37) )
    | ~ spl0_17
    | ~ spl0_37
    | ~ spl0_45 ),
    inference(subsumption_resolution,[],[f453,f2033]) ).

fof(f3008,plain,
    ( ~ spl0_92
    | ~ spl0_17
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f3007,f700,f695,f331,f705]) ).

fof(f3007,plain,
    ( ~ c1_1(a398)
    | ~ spl0_17
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(subsumption_resolution,[],[f3003,f696]) ).

fof(f696,plain,
    ( c2_1(a398)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f3003,plain,
    ( ~ c1_1(a398)
    | ~ c2_1(a398)
    | ~ spl0_17
    | ~ spl0_91 ),
    inference(resolution,[],[f702,f332]) ).

fof(f2991,plain,
    ( ~ spl0_98
    | ~ spl0_34
    | ~ spl0_47
    | ~ spl0_57
    | spl0_96 ),
    inference(avatar_split_clause,[],[f2988,f727,f515,f462,f403,f737]) ).

fof(f515,plain,
    ( spl0_57
  <=> ! [X80] :
        ( ~ c1_1(X80)
        | c0_1(X80)
        | c2_1(X80) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f2988,plain,
    ( ~ c1_1(a395)
    | ~ spl0_34
    | ~ spl0_47
    | ~ spl0_57
    | spl0_96 ),
    inference(resolution,[],[f2979,f729]) ).

fof(f2979,plain,
    ( ! [X80] :
        ( c2_1(X80)
        | ~ c1_1(X80) )
    | ~ spl0_34
    | ~ spl0_47
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f516,f2795]) ).

fof(f2795,plain,
    ( ! [X16] :
        ( c2_1(X16)
        | ~ c0_1(X16) )
    | ~ spl0_34
    | ~ spl0_47 ),
    inference(subsumption_resolution,[],[f404,f463]) ).

fof(f516,plain,
    ( ! [X80] :
        ( c2_1(X80)
        | c0_1(X80)
        | ~ c1_1(X80) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f2986,plain,
    ( spl0_100
    | ~ spl0_35
    | ~ spl0_59
    | spl0_99 ),
    inference(avatar_split_clause,[],[f2985,f743,f526,f407,f748]) ).

fof(f748,plain,
    ( spl0_100
  <=> c2_1(a388) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f743,plain,
    ( spl0_99
  <=> c3_1(a388) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f2985,plain,
    ( c2_1(a388)
    | ~ spl0_35
    | ~ spl0_59
    | spl0_99 ),
    inference(resolution,[],[f745,f2909]) ).

fof(f2909,plain,
    ( ! [X88] :
        ( c3_1(X88)
        | c2_1(X88) )
    | ~ spl0_35
    | ~ spl0_59 ),
    inference(subsumption_resolution,[],[f527,f408]) ).

fof(f745,plain,
    ( ~ c3_1(a388)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f2925,plain,
    ( ~ spl0_17
    | ~ spl0_37
    | ~ spl0_54
    | spl0_150
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f2924]) ).

fof(f2924,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_37
    | ~ spl0_54
    | spl0_150
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f2919,f1017]) ).

fof(f1017,plain,
    ( ~ c0_1(a357)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f1015]) ).

fof(f2919,plain,
    ( c0_1(a357)
    | ~ spl0_17
    | ~ spl0_37
    | ~ spl0_54
    | ~ spl0_151 ),
    inference(resolution,[],[f2854,f1022]) ).

fof(f2854,plain,
    ( ! [X67] :
        ( ~ c3_1(X67)
        | c0_1(X67) )
    | ~ spl0_17
    | ~ spl0_37
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f499,f2033]) ).

fof(f2913,plain,
    ( spl0_141
    | spl0_142
    | ~ spl0_35
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f2863,f2346,f407,f972,f967]) ).

fof(f2863,plain,
    ( c2_1(a360)
    | c3_1(a360)
    | ~ spl0_35
    | ~ spl0_175 ),
    inference(resolution,[],[f2347,f408]) ).

fof(f2347,plain,
    ( c0_1(a360)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f2346]) ).

fof(f2886,plain,
    ( ~ spl0_34
    | ~ spl0_47
    | spl0_82
    | ~ spl0_83 ),
    inference(avatar_contradiction_clause,[],[f2885]) ).

fof(f2885,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_47
    | spl0_82
    | ~ spl0_83 ),
    inference(subsumption_resolution,[],[f2874,f659]) ).

fof(f2874,plain,
    ( ~ c0_1(a418)
    | ~ spl0_34
    | ~ spl0_47
    | spl0_82 ),
    inference(resolution,[],[f2795,f654]) ).

fof(f2880,plain,
    ( ~ spl0_34
    | ~ spl0_47
    | spl0_123
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f2879]) ).

fof(f2879,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_47
    | spl0_123
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f2868,f883]) ).

fof(f2868,plain,
    ( ~ c0_1(a369)
    | ~ spl0_34
    | ~ spl0_47
    | spl0_123 ),
    inference(resolution,[],[f2795,f873]) ).

fof(f2727,plain,
    ( ~ spl0_39
    | ~ spl0_43
    | ~ spl0_61
    | spl0_112
    | ~ spl0_113 ),
    inference(avatar_contradiction_clause,[],[f2726]) ).

fof(f2726,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_43
    | ~ spl0_61
    | spl0_112
    | ~ spl0_113 ),
    inference(subsumption_resolution,[],[f2712,f814]) ).

fof(f2712,plain,
    ( c1_1(a379)
    | ~ spl0_39
    | ~ spl0_43
    | ~ spl0_61
    | ~ spl0_113 ),
    inference(resolution,[],[f2702,f819]) ).

fof(f819,plain,
    ( c2_1(a379)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f817,plain,
    ( spl0_113
  <=> c2_1(a379) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f2702,plain,
    ( ! [X95] :
        ( ~ c2_1(X95)
        | c1_1(X95) )
    | ~ spl0_39
    | ~ spl0_43
    | ~ spl0_61 ),
    inference(subsumption_resolution,[],[f537,f2563]) ).

fof(f2563,plain,
    ( ! [X33] :
        ( ~ c0_1(X33)
        | c1_1(X33) )
    | ~ spl0_39
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f443,f427]) ).

fof(f537,plain,
    ( ! [X95] :
        ( ~ c2_1(X95)
        | c0_1(X95)
        | c1_1(X95) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f536]) ).

fof(f536,plain,
    ( spl0_61
  <=> ! [X95] :
        ( ~ c2_1(X95)
        | c0_1(X95)
        | c1_1(X95) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f2701,plain,
    ( ~ spl0_35
    | ~ spl0_59
    | spl0_141
    | spl0_142 ),
    inference(avatar_contradiction_clause,[],[f2700]) ).

fof(f2700,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_59
    | spl0_141
    | spl0_142 ),
    inference(subsumption_resolution,[],[f2686,f974]) ).

fof(f2686,plain,
    ( c2_1(a360)
    | ~ spl0_35
    | ~ spl0_59
    | spl0_141 ),
    inference(resolution,[],[f2679,f969]) ).

fof(f2679,plain,
    ( ! [X88] :
        ( c3_1(X88)
        | c2_1(X88) )
    | ~ spl0_35
    | ~ spl0_59 ),
    inference(subsumption_resolution,[],[f527,f408]) ).

fof(f2658,plain,
    ( spl0_143
    | ~ spl0_47
    | spl0_142
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f2657,f2346,f972,f462,f977]) ).

fof(f2657,plain,
    ( c1_1(a360)
    | ~ spl0_47
    | spl0_142
    | ~ spl0_175 ),
    inference(subsumption_resolution,[],[f2638,f974]) ).

fof(f2638,plain,
    ( c1_1(a360)
    | c2_1(a360)
    | ~ spl0_47
    | ~ spl0_175 ),
    inference(resolution,[],[f2347,f463]) ).

fof(f2608,plain,
    ( spl0_153
    | ~ spl0_39
    | ~ spl0_43
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f2594,f1041,f442,f426,f1031]) ).

fof(f2594,plain,
    ( c1_1(a356)
    | ~ spl0_39
    | ~ spl0_43
    | ~ spl0_155 ),
    inference(resolution,[],[f2563,f1043]) ).

fof(f2562,plain,
    ( spl0_114
    | spl0_115
    | ~ spl0_47
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f2356,f833,f462,f828,f823]) ).

fof(f2356,plain,
    ( c1_1(a376)
    | c2_1(a376)
    | ~ spl0_47
    | ~ spl0_116 ),
    inference(resolution,[],[f463,f835]) ).

fof(f2526,plain,
    ( ~ spl0_24
    | ~ spl0_50
    | ~ spl0_53
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f2525]) ).

fof(f2525,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_50
    | ~ spl0_53
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f2518,f942]) ).

fof(f2518,plain,
    ( ~ c2_1(a363)
    | ~ spl0_24
    | ~ spl0_50
    | ~ spl0_53
    | ~ spl0_137 ),
    inference(resolution,[],[f2514,f947]) ).

fof(f2514,plain,
    ( ! [X5] :
        ( ~ c1_1(X5)
        | ~ c2_1(X5) )
    | ~ spl0_24
    | ~ spl0_50
    | ~ spl0_53 ),
    inference(subsumption_resolution,[],[f362,f2459]) ).

fof(f2459,plain,
    ( ! [X49] :
        ( ~ c1_1(X49)
        | c0_1(X49) )
    | ~ spl0_50
    | ~ spl0_53 ),
    inference(subsumption_resolution,[],[f478,f493]) ).

fof(f2513,plain,
    ( ~ spl0_50
    | ~ spl0_53
    | spl0_93
    | ~ spl0_95 ),
    inference(avatar_contradiction_clause,[],[f2512]) ).

fof(f2512,plain,
    ( $false
    | ~ spl0_50
    | ~ spl0_53
    | spl0_93
    | ~ spl0_95 ),
    inference(subsumption_resolution,[],[f2508,f713]) ).

fof(f713,plain,
    ( ~ c0_1(a397)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f711,plain,
    ( spl0_93
  <=> c0_1(a397) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f2508,plain,
    ( c0_1(a397)
    | ~ spl0_50
    | ~ spl0_53
    | ~ spl0_95 ),
    inference(resolution,[],[f2459,f723]) ).

fof(f723,plain,
    ( c1_1(a397)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f721,plain,
    ( spl0_95
  <=> c1_1(a397) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f2451,plain,
    ( ~ spl0_32
    | ~ spl0_51
    | ~ spl0_54
    | spl0_102
    | spl0_104 ),
    inference(avatar_contradiction_clause,[],[f2450]) ).

fof(f2450,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_51
    | ~ spl0_54
    | spl0_102
    | spl0_104 ),
    inference(subsumption_resolution,[],[f2438,f771]) ).

fof(f2438,plain,
    ( c0_1(a387)
    | ~ spl0_32
    | ~ spl0_51
    | ~ spl0_54
    | spl0_102 ),
    inference(resolution,[],[f2428,f761]) ).

fof(f2428,plain,
    ( ! [X67] :
        ( c2_1(X67)
        | c0_1(X67) )
    | ~ spl0_32
    | ~ spl0_51
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f499,f2289]) ).

fof(f2289,plain,
    ( ! [X55] :
        ( c3_1(X55)
        | c2_1(X55) )
    | ~ spl0_32
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f484,f396]) ).

fof(f484,plain,
    ( ! [X55] :
        ( c3_1(X55)
        | c1_1(X55)
        | c2_1(X55) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f483,plain,
    ( spl0_51
  <=> ! [X55] :
        ( c3_1(X55)
        | c1_1(X55)
        | c2_1(X55) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f2447,plain,
    ( spl0_175
    | ~ spl0_32
    | ~ spl0_51
    | ~ spl0_54
    | spl0_142 ),
    inference(avatar_split_clause,[],[f2435,f972,f498,f483,f395,f2346]) ).

fof(f2435,plain,
    ( c0_1(a360)
    | ~ spl0_32
    | ~ spl0_51
    | ~ spl0_54
    | spl0_142 ),
    inference(resolution,[],[f2428,f974]) ).

fof(f2446,plain,
    ( ~ spl0_32
    | ~ spl0_51
    | ~ spl0_54
    | spl0_150
    | spl0_167 ),
    inference(avatar_contradiction_clause,[],[f2445]) ).

fof(f2445,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_51
    | ~ spl0_54
    | spl0_150
    | spl0_167 ),
    inference(subsumption_resolution,[],[f2434,f1017]) ).

fof(f2434,plain,
    ( c0_1(a357)
    | ~ spl0_32
    | ~ spl0_51
    | ~ spl0_54
    | spl0_167 ),
    inference(resolution,[],[f2428,f2030]) ).

fof(f2030,plain,
    ( ~ c2_1(a357)
    | spl0_167 ),
    inference(avatar_component_clause,[],[f2028]) ).

fof(f2028,plain,
    ( spl0_167
  <=> c2_1(a357) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f2422,plain,
    ( spl0_87
    | ~ spl0_53
    | spl0_88
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f2416,f689,f684,f492,f679]) ).

fof(f684,plain,
    ( spl0_88
  <=> c0_1(a399) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f2416,plain,
    ( c3_1(a399)
    | ~ spl0_53
    | spl0_88
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f2409,f686]) ).

fof(f686,plain,
    ( ~ c0_1(a399)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f2409,plain,
    ( c0_1(a399)
    | c3_1(a399)
    | ~ spl0_53
    | ~ spl0_89 ),
    inference(resolution,[],[f493,f691]) ).

fof(f2384,plain,
    ( ~ spl0_32
    | ~ spl0_51
    | ~ spl0_52
    | spl0_147
    | spl0_148 ),
    inference(avatar_contradiction_clause,[],[f2383]) ).

fof(f2383,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_51
    | ~ spl0_52
    | spl0_147
    | spl0_148 ),
    inference(subsumption_resolution,[],[f2366,f1006]) ).

fof(f1006,plain,
    ( ~ c0_1(a358)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f1004]) ).

fof(f1004,plain,
    ( spl0_148
  <=> c0_1(a358) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f2366,plain,
    ( c0_1(a358)
    | ~ spl0_32
    | ~ spl0_51
    | ~ spl0_52
    | spl0_147 ),
    inference(resolution,[],[f2360,f1001]) ).

fof(f1001,plain,
    ( ~ c3_1(a358)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f999]) ).

fof(f999,plain,
    ( spl0_147
  <=> c3_1(a358) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f2360,plain,
    ( ! [X57] :
        ( c3_1(X57)
        | c0_1(X57) )
    | ~ spl0_32
    | ~ spl0_51
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f488,f2289]) ).

fof(f2314,plain,
    ( ~ spl0_32
    | ~ spl0_51
    | spl0_141
    | spl0_142 ),
    inference(avatar_contradiction_clause,[],[f2313]) ).

fof(f2313,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_51
    | spl0_141
    | spl0_142 ),
    inference(subsumption_resolution,[],[f2296,f974]) ).

fof(f2296,plain,
    ( c2_1(a360)
    | ~ spl0_32
    | ~ spl0_51
    | spl0_141 ),
    inference(resolution,[],[f2289,f969]) ).

fof(f2279,plain,
    ( ~ spl0_50
    | spl0_150
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f2278]) ).

fof(f2278,plain,
    ( $false
    | ~ spl0_50
    | spl0_150
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2277,f1027]) ).

fof(f1027,plain,
    ( c1_1(a357)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f1025]) ).

fof(f1025,plain,
    ( spl0_152
  <=> c1_1(a357) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f2277,plain,
    ( ~ c1_1(a357)
    | ~ spl0_50
    | spl0_150
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f2271,f1017]) ).

fof(f2271,plain,
    ( c0_1(a357)
    | ~ c1_1(a357)
    | ~ spl0_50
    | ~ spl0_151 ),
    inference(resolution,[],[f478,f1022]) ).

fof(f2247,plain,
    ( spl0_165
    | spl0_114
    | ~ spl0_35
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f2213,f833,f407,f823,f1330]) ).

fof(f2213,plain,
    ( c2_1(a376)
    | c3_1(a376)
    | ~ spl0_35
    | ~ spl0_116 ),
    inference(resolution,[],[f408,f835]) ).

fof(f2207,plain,
    ( ~ spl0_125
    | spl0_166
    | ~ spl0_39
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2202,f876,f426,f1335,f881]) ).

fof(f2202,plain,
    ( c1_1(a369)
    | ~ c0_1(a369)
    | ~ spl0_39
    | ~ spl0_124 ),
    inference(resolution,[],[f878,f427]) ).

fof(f2182,plain,
    ( spl0_156
    | ~ spl0_39
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2181,f1057,f1052,f426,f1047]) ).

fof(f2181,plain,
    ( c1_1(a355)
    | ~ spl0_39
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f2165,f1059]) ).

fof(f2165,plain,
    ( c1_1(a355)
    | ~ c0_1(a355)
    | ~ spl0_39
    | ~ spl0_157 ),
    inference(resolution,[],[f427,f1054]) ).

fof(f2180,plain,
    ( spl0_108
    | ~ spl0_27
    | ~ spl0_109
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2179,f801,f796,f374,f791]) ).

fof(f2179,plain,
    ( c3_1(a380)
    | ~ spl0_27
    | ~ spl0_109
    | ~ spl0_110 ),
    inference(subsumption_resolution,[],[f2151,f803]) ).

fof(f2151,plain,
    ( c3_1(a380)
    | ~ c0_1(a380)
    | ~ spl0_27
    | ~ spl0_109 ),
    inference(resolution,[],[f375,f798]) ).

fof(f2120,plain,
    ( ~ spl0_32
    | spl0_99
    | spl0_100
    | ~ spl0_101 ),
    inference(avatar_contradiction_clause,[],[f2119]) ).

fof(f2119,plain,
    ( $false
    | ~ spl0_32
    | spl0_99
    | spl0_100
    | ~ spl0_101 ),
    inference(subsumption_resolution,[],[f2118,f745]) ).

fof(f2118,plain,
    ( c3_1(a388)
    | ~ spl0_32
    | spl0_100
    | ~ spl0_101 ),
    inference(subsumption_resolution,[],[f2115,f750]) ).

fof(f750,plain,
    ( ~ c2_1(a388)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f2115,plain,
    ( c2_1(a388)
    | c3_1(a388)
    | ~ spl0_32
    | ~ spl0_101 ),
    inference(resolution,[],[f396,f755]) ).

fof(f755,plain,
    ( c1_1(a388)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f753,plain,
    ( spl0_101
  <=> c1_1(a388) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f2046,plain,
    ( ~ spl0_19
    | ~ spl0_48
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f2045]) ).

fof(f2045,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_48
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f2044,f899]) ).

fof(f2044,plain,
    ( ~ c2_1(a368)
    | ~ spl0_19
    | ~ spl0_48
    | ~ spl0_127 ),
    inference(resolution,[],[f2032,f894]) ).

fof(f2032,plain,
    ( ! [X43] :
        ( ~ c3_1(X43)
        | ~ c2_1(X43) )
    | ~ spl0_19
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f467,f341]) ).

fof(f2031,plain,
    ( ~ spl0_167
    | ~ spl0_152
    | ~ spl0_17
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2023,f1020,f331,f1025,f2028]) ).

fof(f2023,plain,
    ( ~ c1_1(a357)
    | ~ c2_1(a357)
    | ~ spl0_17
    | ~ spl0_151 ),
    inference(resolution,[],[f1022,f332]) ).

fof(f2004,plain,
    ( ~ spl0_17
    | ~ spl0_29
    | ~ spl0_35
    | ~ spl0_39
    | ~ spl0_43
    | ~ spl0_57
    | ~ spl0_64
    | spl0_142 ),
    inference(avatar_contradiction_clause,[],[f1999]) ).

fof(f1999,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_35
    | ~ spl0_39
    | ~ spl0_43
    | ~ spl0_57
    | ~ spl0_64
    | spl0_142 ),
    inference(resolution,[],[f1998,f974]) ).

fof(f1998,plain,
    ( ! [X110] : c2_1(X110)
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_35
    | ~ spl0_39
    | ~ spl0_43
    | ~ spl0_57
    | ~ spl0_64 ),
    inference(subsumption_resolution,[],[f1997,f1943]) ).

fof(f1943,plain,
    ( ! [X80] :
        ( c2_1(X80)
        | ~ c1_1(X80) )
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_35
    | ~ spl0_39
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f516,f1639]) ).

fof(f1639,plain,
    ( ! [X18] :
        ( c2_1(X18)
        | ~ c0_1(X18) )
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_35
    | ~ spl0_39 ),
    inference(subsumption_resolution,[],[f408,f1601]) ).

fof(f1601,plain,
    ( ! [X25] :
        ( ~ c3_1(X25)
        | ~ c0_1(X25) )
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_39 ),
    inference(subsumption_resolution,[],[f427,f1231]) ).

fof(f1231,plain,
    ( ! [X12] :
        ( ~ c3_1(X12)
        | ~ c1_1(X12) )
    | ~ spl0_17
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f384,f332]) ).

fof(f1997,plain,
    ( ! [X110] :
        ( c2_1(X110)
        | c1_1(X110) )
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_39
    | ~ spl0_43
    | ~ spl0_64 ),
    inference(subsumption_resolution,[],[f554,f1764]) ).

fof(f1764,plain,
    ( ! [X33] :
        ( ~ c0_1(X33)
        | c1_1(X33) )
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_39
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f443,f1601]) ).

fof(f554,plain,
    ( ! [X110] :
        ( c2_1(X110)
        | c0_1(X110)
        | c1_1(X110) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f553,plain,
    ( spl0_64
  <=> ! [X110] :
        ( c2_1(X110)
        | c0_1(X110)
        | c1_1(X110) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1989,plain,
    ( ~ spl0_17
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_52
    | spl0_93
    | ~ spl0_94 ),
    inference(avatar_contradiction_clause,[],[f1988]) ).

fof(f1988,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_52
    | spl0_93
    | ~ spl0_94 ),
    inference(subsumption_resolution,[],[f1971,f713]) ).

fof(f1971,plain,
    ( c0_1(a397)
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_52
    | ~ spl0_94 ),
    inference(resolution,[],[f1913,f718]) ).

fof(f718,plain,
    ( c2_1(a397)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f716,plain,
    ( spl0_94
  <=> c2_1(a397) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1913,plain,
    ( ! [X57] :
        ( ~ c2_1(X57)
        | c0_1(X57) )
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f488,f1237]) ).

fof(f1237,plain,
    ( ! [X22] :
        ( ~ c3_1(X22)
        | ~ c2_1(X22) )
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_37 ),
    inference(subsumption_resolution,[],[f418,f1231]) ).

fof(f1983,plain,
    ( ~ spl0_17
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_52
    | spl0_133
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f1982]) ).

fof(f1982,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_52
    | spl0_133
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1964,f926]) ).

fof(f926,plain,
    ( ~ c0_1(a364)
    | spl0_133 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f924,plain,
    ( spl0_133
  <=> c0_1(a364) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1964,plain,
    ( c0_1(a364)
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_52
    | ~ spl0_134 ),
    inference(resolution,[],[f1913,f931]) ).

fof(f931,plain,
    ( c2_1(a364)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f929]) ).

fof(f929,plain,
    ( spl0_134
  <=> c2_1(a364) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1941,plain,
    ( ~ spl0_17
    | ~ spl0_29
    | ~ spl0_35
    | ~ spl0_37
    | ~ spl0_39
    | ~ spl0_54
    | ~ spl0_119 ),
    inference(avatar_contradiction_clause,[],[f1938]) ).

fof(f1938,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_35
    | ~ spl0_37
    | ~ spl0_39
    | ~ spl0_54
    | ~ spl0_119 ),
    inference(resolution,[],[f1921,f851]) ).

fof(f851,plain,
    ( c3_1(a375)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f849,plain,
    ( spl0_119
  <=> c3_1(a375) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1921,plain,
    ( ! [X67] : ~ c3_1(X67)
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_35
    | ~ spl0_37
    | ~ spl0_39
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f1920,f1237]) ).

fof(f1920,plain,
    ( ! [X67] :
        ( ~ c3_1(X67)
        | c2_1(X67) )
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_35
    | ~ spl0_39
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f499,f1639]) ).

fof(f1919,plain,
    ( ~ spl0_56
    | spl0_93
    | ~ spl0_94
    | ~ spl0_95 ),
    inference(avatar_contradiction_clause,[],[f1918]) ).

fof(f1918,plain,
    ( $false
    | ~ spl0_56
    | spl0_93
    | ~ spl0_94
    | ~ spl0_95 ),
    inference(subsumption_resolution,[],[f1917,f718]) ).

fof(f1917,plain,
    ( ~ c2_1(a397)
    | ~ spl0_56
    | spl0_93
    | ~ spl0_95 ),
    inference(subsumption_resolution,[],[f1916,f713]) ).

fof(f1916,plain,
    ( c0_1(a397)
    | ~ c2_1(a397)
    | ~ spl0_56
    | ~ spl0_95 ),
    inference(resolution,[],[f723,f512]) ).

fof(f512,plain,
    ( ! [X78] :
        ( ~ c1_1(X78)
        | c0_1(X78)
        | ~ c2_1(X78) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f511,plain,
    ( spl0_56
  <=> ! [X78] :
        ( ~ c2_1(X78)
        | c0_1(X78)
        | ~ c1_1(X78) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1805,plain,
    ( ~ spl0_17
    | ~ spl0_29
    | ~ spl0_35
    | ~ spl0_37
    | ~ spl0_39
    | ~ spl0_54
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f1796]) ).

fof(f1796,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_35
    | ~ spl0_37
    | ~ spl0_39
    | ~ spl0_54
    | ~ spl0_157 ),
    inference(resolution,[],[f1763,f1054]) ).

fof(f1763,plain,
    ( ! [X67] : ~ c3_1(X67)
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_35
    | ~ spl0_37
    | ~ spl0_39
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f1762,f1237]) ).

fof(f1762,plain,
    ( ! [X67] :
        ( ~ c3_1(X67)
        | c2_1(X67) )
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_35
    | ~ spl0_39
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f499,f1639]) ).

fof(f1693,plain,
    ( ~ spl0_17
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_39
    | ~ spl0_54
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f1692]) ).

fof(f1692,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_39
    | ~ spl0_54
    | ~ spl0_124 ),
    inference(resolution,[],[f1681,f878]) ).

fof(f1681,plain,
    ( ! [X67] : ~ c3_1(X67)
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_39
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f1605,f1601]) ).

fof(f1605,plain,
    ( ! [X67] :
        ( ~ c3_1(X67)
        | c0_1(X67) )
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f499,f1237]) ).

fof(f1691,plain,
    ( ~ spl0_166
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1687,f876,f383,f331,f1335]) ).

fof(f1687,plain,
    ( ~ c1_1(a369)
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_124 ),
    inference(resolution,[],[f878,f1231]) ).

fof(f1690,plain,
    ( ~ spl0_125
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_39
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1685,f876,f426,f383,f331,f881]) ).

fof(f1685,plain,
    ( ~ c0_1(a369)
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_39
    | ~ spl0_124 ),
    inference(resolution,[],[f878,f1601]) ).

fof(f1647,plain,
    ( ~ spl0_70
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1642,f583,f383,f331,f588]) ).

fof(f1642,plain,
    ( ~ c1_1(a373)
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_69 ),
    inference(resolution,[],[f585,f1231]) ).

fof(f1599,plain,
    ( ~ spl0_17
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_45
    | ~ spl0_59
    | spl0_102
    | spl0_104 ),
    inference(avatar_contradiction_clause,[],[f1598]) ).

fof(f1598,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_45
    | ~ spl0_59
    | spl0_102
    | spl0_104 ),
    inference(subsumption_resolution,[],[f1593,f771]) ).

fof(f1593,plain,
    ( c0_1(a387)
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_45
    | ~ spl0_59
    | spl0_102 ),
    inference(resolution,[],[f1572,f761]) ).

fof(f1572,plain,
    ( ! [X88] :
        ( c2_1(X88)
        | c0_1(X88) )
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_45
    | ~ spl0_59 ),
    inference(subsumption_resolution,[],[f527,f1343]) ).

fof(f1343,plain,
    ( ! [X37] : ~ c3_1(X37)
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_45 ),
    inference(subsumption_resolution,[],[f1342,f1237]) ).

fof(f1342,plain,
    ( ! [X37] :
        ( ~ c3_1(X37)
        | c2_1(X37) )
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_45 ),
    inference(subsumption_resolution,[],[f453,f1231]) ).

fof(f1567,plain,
    ( ~ spl0_17
    | ~ spl0_29
    | ~ spl0_32
    | ~ spl0_37
    | ~ spl0_43
    | ~ spl0_45
    | ~ spl0_64
    | spl0_142 ),
    inference(avatar_contradiction_clause,[],[f1564]) ).

fof(f1564,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_32
    | ~ spl0_37
    | ~ spl0_43
    | ~ spl0_45
    | ~ spl0_64
    | spl0_142 ),
    inference(resolution,[],[f1563,f974]) ).

fof(f1563,plain,
    ( ! [X110] : c2_1(X110)
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_32
    | ~ spl0_37
    | ~ spl0_43
    | ~ spl0_45
    | ~ spl0_64 ),
    inference(subsumption_resolution,[],[f1562,f1364]) ).

fof(f1364,plain,
    ( ! [X14] :
        ( c2_1(X14)
        | ~ c1_1(X14) )
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_32
    | ~ spl0_37
    | ~ spl0_45 ),
    inference(subsumption_resolution,[],[f396,f1343]) ).

fof(f1562,plain,
    ( ! [X110] :
        ( c2_1(X110)
        | c1_1(X110) )
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_43
    | ~ spl0_45
    | ~ spl0_64 ),
    inference(subsumption_resolution,[],[f554,f1501]) ).

fof(f1501,plain,
    ( ! [X33] :
        ( c1_1(X33)
        | ~ c0_1(X33) )
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_43
    | ~ spl0_45 ),
    inference(subsumption_resolution,[],[f443,f1343]) ).

fof(f1553,plain,
    ( ~ spl0_17
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_43
    | ~ spl0_45
    | ~ spl0_61
    | spl0_112
    | ~ spl0_113 ),
    inference(avatar_contradiction_clause,[],[f1552]) ).

fof(f1552,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_43
    | ~ spl0_45
    | ~ spl0_61
    | spl0_112
    | ~ spl0_113 ),
    inference(subsumption_resolution,[],[f1535,f814]) ).

fof(f1535,plain,
    ( c1_1(a379)
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_43
    | ~ spl0_45
    | ~ spl0_61
    | ~ spl0_113 ),
    inference(resolution,[],[f1524,f819]) ).

fof(f1524,plain,
    ( ! [X95] :
        ( ~ c2_1(X95)
        | c1_1(X95) )
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_43
    | ~ spl0_45
    | ~ spl0_61 ),
    inference(subsumption_resolution,[],[f537,f1501]) ).

fof(f1431,plain,
    ( ~ spl0_17
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_45
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f1430]) ).

fof(f1430,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_45
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f1022,f1343]) ).

fof(f1408,plain,
    ( ~ spl0_17
    | ~ spl0_29
    | ~ spl0_32
    | ~ spl0_37
    | ~ spl0_45
    | ~ spl0_51
    | spl0_102 ),
    inference(avatar_contradiction_clause,[],[f1407]) ).

fof(f1407,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_32
    | ~ spl0_37
    | ~ spl0_45
    | ~ spl0_51
    | spl0_102 ),
    inference(resolution,[],[f1405,f761]) ).

fof(f1405,plain,
    ( ! [X55] : c2_1(X55)
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_32
    | ~ spl0_37
    | ~ spl0_45
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f1404,f1364]) ).

fof(f1404,plain,
    ( ! [X55] :
        ( c1_1(X55)
        | c2_1(X55) )
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_45
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f484,f1343]) ).

fof(f1327,plain,
    ( ~ spl0_39
    | ~ spl0_43
    | spl0_115
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f1326]) ).

fof(f1326,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_43
    | spl0_115
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f1323,f835]) ).

fof(f1323,plain,
    ( ~ c0_1(a376)
    | ~ spl0_39
    | ~ spl0_43
    | spl0_115 ),
    inference(resolution,[],[f1321,f830]) ).

fof(f1321,plain,
    ( ! [X25] :
        ( c1_1(X25)
        | ~ c0_1(X25) )
    | ~ spl0_39
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f427,f443]) ).

fof(f1313,plain,
    ( ~ spl0_17
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_45
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f1310]) ).

fof(f1310,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_45
    | ~ spl0_124 ),
    inference(resolution,[],[f1309,f878]) ).

fof(f1309,plain,
    ( ! [X37] : ~ c3_1(X37)
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_45 ),
    inference(subsumption_resolution,[],[f1308,f1237]) ).

fof(f1308,plain,
    ( ! [X37] :
        ( ~ c3_1(X37)
        | c2_1(X37) )
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_45 ),
    inference(subsumption_resolution,[],[f453,f1231]) ).

fof(f1236,plain,
    ( ~ spl0_17
    | ~ spl0_29
    | ~ spl0_91
    | ~ spl0_92 ),
    inference(avatar_contradiction_clause,[],[f1235]) ).

fof(f1235,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_91
    | ~ spl0_92 ),
    inference(subsumption_resolution,[],[f1233,f707]) ).

fof(f1233,plain,
    ( ~ c1_1(a398)
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_91 ),
    inference(resolution,[],[f1231,f702]) ).

fof(f1230,plain,
    ( ~ spl0_34
    | ~ spl0_70
    | ~ spl0_71
    | spl0_162 ),
    inference(avatar_contradiction_clause,[],[f1229]) ).

fof(f1229,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_70
    | ~ spl0_71
    | spl0_162 ),
    inference(subsumption_resolution,[],[f1228,f595]) ).

fof(f1228,plain,
    ( ~ c0_1(a373)
    | ~ spl0_34
    | ~ spl0_70
    | spl0_162 ),
    inference(subsumption_resolution,[],[f1225,f1113]) ).

fof(f1225,plain,
    ( c2_1(a373)
    | ~ c0_1(a373)
    | ~ spl0_34
    | ~ spl0_70 ),
    inference(resolution,[],[f404,f590]) ).

fof(f590,plain,
    ( c1_1(a373)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f1188,plain,
    ( ~ spl0_17
    | ~ spl0_37
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(avatar_contradiction_clause,[],[f1187]) ).

fof(f1187,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_37
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(subsumption_resolution,[],[f1184,f574]) ).

fof(f574,plain,
    ( c2_1(a410)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f572,plain,
    ( spl0_67
  <=> c2_1(a410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1184,plain,
    ( ~ c2_1(a410)
    | ~ spl0_17
    | ~ spl0_37
    | ~ spl0_66 ),
    inference(resolution,[],[f1180,f569]) ).

fof(f569,plain,
    ( c3_1(a410)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f567,plain,
    ( spl0_66
  <=> c3_1(a410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1180,plain,
    ( ! [X22] :
        ( ~ c3_1(X22)
        | ~ c2_1(X22) )
    | ~ spl0_17
    | ~ spl0_37 ),
    inference(subsumption_resolution,[],[f418,f332]) ).

fof(f1178,plain,
    ( ~ spl0_17
    | ~ spl0_42
    | ~ spl0_72
    | ~ spl0_73 ),
    inference(avatar_contradiction_clause,[],[f1177]) ).

fof(f1177,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_42
    | ~ spl0_72
    | ~ spl0_73 ),
    inference(subsumption_resolution,[],[f1171,f601]) ).

fof(f1171,plain,
    ( ~ c2_1(a372)
    | ~ spl0_17
    | ~ spl0_42
    | ~ spl0_73 ),
    inference(resolution,[],[f1163,f606]) ).

fof(f1163,plain,
    ( ! [X30] :
        ( ~ c1_1(X30)
        | ~ c2_1(X30) )
    | ~ spl0_17
    | ~ spl0_42 ),
    inference(subsumption_resolution,[],[f439,f332]) ).

fof(f1174,plain,
    ( ~ spl0_17
    | ~ spl0_42
    | ~ spl0_94
    | ~ spl0_95 ),
    inference(avatar_contradiction_clause,[],[f1173]) ).

fof(f1173,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_42
    | ~ spl0_94
    | ~ spl0_95 ),
    inference(subsumption_resolution,[],[f1168,f718]) ).

fof(f1168,plain,
    ( ~ c2_1(a397)
    | ~ spl0_17
    | ~ spl0_42
    | ~ spl0_95 ),
    inference(resolution,[],[f1163,f723]) ).

fof(f1159,plain,
    ( ~ spl0_41
    | spl0_111
    | spl0_112
    | ~ spl0_113 ),
    inference(avatar_contradiction_clause,[],[f1158]) ).

fof(f1158,plain,
    ( $false
    | ~ spl0_41
    | spl0_111
    | spl0_112
    | ~ spl0_113 ),
    inference(subsumption_resolution,[],[f1157,f819]) ).

fof(f1157,plain,
    ( ~ c2_1(a379)
    | ~ spl0_41
    | spl0_111
    | spl0_112 ),
    inference(subsumption_resolution,[],[f1151,f814]) ).

fof(f1151,plain,
    ( c1_1(a379)
    | ~ c2_1(a379)
    | ~ spl0_41
    | spl0_111 ),
    inference(resolution,[],[f435,f809]) ).

fof(f435,plain,
    ( ! [X29] :
        ( c3_1(X29)
        | c1_1(X29)
        | ~ c2_1(X29) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f434,plain,
    ( spl0_41
  <=> ! [X29] :
        ( ~ c2_1(X29)
        | c1_1(X29)
        | c3_1(X29) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1141,plain,
    ( ~ spl0_67
    | ~ spl0_68
    | ~ spl0_19
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1134,f567,f340,f577,f572]) ).

fof(f577,plain,
    ( spl0_68
  <=> c0_1(a410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1134,plain,
    ( ~ c0_1(a410)
    | ~ c2_1(a410)
    | ~ spl0_19
    | ~ spl0_66 ),
    inference(resolution,[],[f569,f341]) ).

fof(f1109,plain,
    ( ~ spl0_70
    | ~ spl0_71
    | ~ spl0_21
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1106,f583,f349,f593,f588]) ).

fof(f1106,plain,
    ( ~ c0_1(a373)
    | ~ c1_1(a373)
    | ~ spl0_21
    | ~ spl0_69 ),
    inference(resolution,[],[f585,f350]) ).

fof(f1087,plain,
    ( ~ spl0_24
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(avatar_contradiction_clause,[],[f1086]) ).

fof(f1086,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(subsumption_resolution,[],[f1085,f606]) ).

fof(f1085,plain,
    ( ~ c1_1(a372)
    | ~ spl0_24
    | ~ spl0_72
    | ~ spl0_74 ),
    inference(subsumption_resolution,[],[f1082,f611]) ).

fof(f1082,plain,
    ( ~ c0_1(a372)
    | ~ c1_1(a372)
    | ~ spl0_24
    | ~ spl0_72 ),
    inference(resolution,[],[f362,f601]) ).

fof(f1076,plain,
    ( ~ spl0_49
    | spl0_161 ),
    inference(avatar_split_clause,[],[f8,f1073,f470]) ).

fof(f470,plain,
    ( spl0_49
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f8,plain,
    ( c0_1(a353)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp6
      | hskp4 )
    & ( hskp4
      | hskp11
      | hskp24 )
    & ( hskp6
      | hskp18
      | hskp21 )
    & ( hskp11
      | hskp8
      | hskp25 )
    & ( hskp16
      | hskp11
      | hskp15 )
    & ( hskp4
      | hskp27
      | hskp13 )
    & ( hskp11
      | hskp1
      | hskp17 )
    & ( hskp15
      | hskp13
      | hskp29 )
    & ( hskp11
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp24
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp31
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp29
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c2_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp30
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp22
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c2_1(X6)
          | ~ c1_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c2_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c0_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp17
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp29
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp2
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c2_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c1_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( ! [X15] :
          ( ~ c3_1(X15)
          | ~ c1_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c1_1(X16)
          | ~ c0_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c1_1(X17)
          | c3_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X18] :
          ( ~ c0_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp2
      | ! [X19] :
          ( ~ c0_1(X19)
          | c3_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X20] :
          ( ~ c2_1(X20)
          | ~ c0_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c0_1(X21)
          | c3_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp24
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp30
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c2_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X24] :
          ( ~ c0_1(X24)
          | c3_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c0_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp12
      | ! [X26] :
          ( ~ c2_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( ~ c3_1(X27)
          | ~ c2_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c2_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( ~ c2_1(X30)
          | ~ c1_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c3_1(X31)
          | ~ c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c2_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp3
      | ! [X33] :
          ( ~ c0_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp29
      | ! [X34] :
          ( ~ c0_1(X34)
          | c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X35] :
          ( ~ c2_1(X35)
          | ~ c1_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c0_1(X36)
          | c3_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp9
      | ! [X37] :
          ( ~ c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp24
      | ! [X38] :
          ( ~ c3_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c0_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c0_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp21
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c2_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c2_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X47] :
          ( ~ c1_1(X47)
          | c3_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp2
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c1_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c2_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( ~ c2_1(X52)
          | ~ c0_1(X52)
          | c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | c2_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X55] :
          ( c3_1(X55)
          | c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp28
      | ! [X57] :
          ( ~ c2_1(X57)
          | c3_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | ~ c1_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c2_1(X59)
          | ~ c0_1(X59)
          | c3_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | c3_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X61] :
          ( ~ c2_1(X61)
          | ~ c0_1(X61)
          | c1_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c1_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X63] :
          ( ~ c0_1(X63)
          | c3_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c1_1(X64)
          | c3_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X65] :
          ( ~ c0_1(X65)
          | c2_1(X65)
          | c1_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c1_1(X66)
          | c3_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp2
      | ! [X67] :
          ( ~ c3_1(X67)
          | c2_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X68] :
          ( ~ c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X69] :
          ( ~ c3_1(X69)
          | ~ c2_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c3_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c2_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c3_1(X72)
          | c2_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( ~ c3_1(X73)
          | ~ c1_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c2_1(X74)
          | ~ c1_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c3_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X76] :
          ( ~ c2_1(X76)
          | ~ c1_1(X76)
          | c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X78] :
          ( ~ c2_1(X78)
          | ~ c1_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp1
      | ! [X80] :
          ( ~ c1_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp30
      | hskp29
      | ! [X81] :
          ( ~ c1_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( ~ c3_1(X82)
          | ~ c1_1(X82)
          | c2_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c2_1(X83)
          | ~ c1_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c1_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X85] :
          ( ~ c1_1(X85)
          | c3_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c2_1(X87)
          | ~ c1_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c3_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X89] :
          ( ~ c1_1(X89)
          | c3_1(X89)
          | c2_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c3_1(X90)
          | c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp8
      | ! [X91] :
          ( ~ c3_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X92] :
          ( ~ c2_1(X92)
          | c3_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X94] :
          ( ~ c3_1(X94)
          | ~ c2_1(X94)
          | ~ c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c2_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X96] :
          ( ~ c2_1(X96)
          | ~ c1_1(X96)
          | ~ c0_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c2_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X98] :
          ( ~ c3_1(X98)
          | ~ c1_1(X98)
          | c2_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c2_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X100] :
          ( ~ c3_1(X100)
          | ~ c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c2_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( ~ c1_1(X102)
          | c3_1(X102)
          | c2_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c0_1(X103)
          | c2_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c3_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( ! [X105] :
          ( ~ c3_1(X105)
          | ~ c1_1(X105)
          | c2_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( c3_1(X106)
          | c2_1(X106)
          | c1_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c3_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X108] :
          ( ~ c3_1(X108)
          | c2_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c3_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp5
      | ! [X110] :
          ( c2_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X111] :
          ( c2_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X112] :
          ( ~ c2_1(X112)
          | ~ c1_1(X112)
          | ~ c0_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( c2_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X114] :
          ( ~ c0_1(X114)
          | c3_1(X114)
          | c2_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X116] :
          ( ~ c2_1(X116)
          | ~ c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( c2_1(X117)
          | c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 ) )
    & ( ! [X118] :
          ( ~ c3_1(X118)
          | ~ c0_1(X118)
          | c2_1(X118)
          | ~ ndr1_0 )
      | ! [X119] :
          ( c3_1(X119)
          | c2_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( c2_1(X120)
          | c1_1(X120)
          | c0_1(X120)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X121] :
          ( ~ c3_1(X121)
          | c1_1(X121)
          | c0_1(X121)
          | ~ ndr1_0 )
      | ! [X122] :
          ( c2_1(X122)
          | c1_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 ) )
    & ( ! [X123] :
          ( ~ c2_1(X123)
          | c1_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 )
      | ! [X124] :
          ( c3_1(X124)
          | c1_1(X124)
          | c0_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( c2_1(X125)
          | c1_1(X125)
          | c0_1(X125)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a410)
        & c2_1(a410)
        & c0_1(a410)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a373)
        & c1_1(a373)
        & c0_1(a373)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a372)
        & c1_1(a372)
        & c0_1(a372)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a365)
        & c2_1(a365)
        & c1_1(a365)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c0_1(a446)
        & c3_1(a446)
        & c2_1(a446)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a418)
        & ~ c2_1(a418)
        & c0_1(a418)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a417)
        & ~ c1_1(a417)
        & c0_1(a417)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a399)
        & ~ c0_1(a399)
        & c1_1(a399)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a398)
        & c3_1(a398)
        & c1_1(a398)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a397)
        & c2_1(a397)
        & c1_1(a397)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a395)
        & ~ c0_1(a395)
        & c1_1(a395)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a388)
        & ~ c2_1(a388)
        & c1_1(a388)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a387)
        & ~ c1_1(a387)
        & ~ c0_1(a387)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a382)
        & ~ c0_1(a382)
        & c3_1(a382)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a380)
        & c1_1(a380)
        & c0_1(a380)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a379)
        & ~ c1_1(a379)
        & c2_1(a379)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a376)
        & ~ c1_1(a376)
        & c0_1(a376)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a375)
        & ~ c0_1(a375)
        & c3_1(a375)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a370)
        & c2_1(a370)
        & c0_1(a370)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a369)
        & c3_1(a369)
        & c0_1(a369)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a368)
        & c3_1(a368)
        & c2_1(a368)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a366)
        & ~ c2_1(a366)
        & ~ c0_1(a366)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a364)
        & ~ c0_1(a364)
        & c2_1(a364)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a363)
        & c2_1(a363)
        & c1_1(a363)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a361)
        & ~ c1_1(a361)
        & c3_1(a361)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a360)
        & ~ c2_1(a360)
        & ~ c1_1(a360)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a359)
        & ~ c1_1(a359)
        & ~ c0_1(a359)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a358)
        & ~ c0_1(a358)
        & c2_1(a358)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c0_1(a357)
        & c3_1(a357)
        & c1_1(a357)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a356)
        & c2_1(a356)
        & c0_1(a356)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a355)
        & c3_1(a355)
        & c0_1(a355)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a353)
        & c1_1(a353)
        & c0_1(a353)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp6
      | hskp4 )
    & ( hskp4
      | hskp11
      | hskp24 )
    & ( hskp6
      | hskp18
      | hskp21 )
    & ( hskp11
      | hskp8
      | hskp25 )
    & ( hskp16
      | hskp11
      | hskp15 )
    & ( hskp4
      | hskp27
      | hskp13 )
    & ( hskp11
      | hskp1
      | hskp17 )
    & ( hskp15
      | hskp13
      | hskp29 )
    & ( hskp11
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp24
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp31
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp29
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c2_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp30
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp22
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c2_1(X6)
          | ~ c1_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c2_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c0_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp17
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp29
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp2
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c2_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c1_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( ! [X15] :
          ( ~ c3_1(X15)
          | ~ c1_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c1_1(X16)
          | ~ c0_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c1_1(X17)
          | c3_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X18] :
          ( ~ c0_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp2
      | ! [X19] :
          ( ~ c0_1(X19)
          | c3_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X20] :
          ( ~ c2_1(X20)
          | ~ c0_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c0_1(X21)
          | c3_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp24
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp30
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c2_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X24] :
          ( ~ c0_1(X24)
          | c3_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c0_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp12
      | ! [X26] :
          ( ~ c2_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( ~ c3_1(X27)
          | ~ c2_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c2_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( ~ c2_1(X30)
          | ~ c1_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c3_1(X31)
          | ~ c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c2_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp3
      | ! [X33] :
          ( ~ c0_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp29
      | ! [X34] :
          ( ~ c0_1(X34)
          | c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X35] :
          ( ~ c2_1(X35)
          | ~ c1_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c0_1(X36)
          | c3_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp9
      | ! [X37] :
          ( ~ c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp24
      | ! [X38] :
          ( ~ c3_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c0_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c0_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp21
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c2_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c2_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X47] :
          ( ~ c1_1(X47)
          | c3_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp2
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c1_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c2_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( ~ c2_1(X52)
          | ~ c0_1(X52)
          | c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | c2_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X55] :
          ( c3_1(X55)
          | c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp28
      | ! [X57] :
          ( ~ c2_1(X57)
          | c3_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | ~ c1_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c2_1(X59)
          | ~ c0_1(X59)
          | c3_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | c3_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X61] :
          ( ~ c2_1(X61)
          | ~ c0_1(X61)
          | c1_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c1_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X63] :
          ( ~ c0_1(X63)
          | c3_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c1_1(X64)
          | c3_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X65] :
          ( ~ c0_1(X65)
          | c2_1(X65)
          | c1_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c1_1(X66)
          | c3_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp2
      | ! [X67] :
          ( ~ c3_1(X67)
          | c2_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X68] :
          ( ~ c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X69] :
          ( ~ c3_1(X69)
          | ~ c2_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c3_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c2_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c3_1(X72)
          | c2_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( ~ c3_1(X73)
          | ~ c1_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c2_1(X74)
          | ~ c1_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c3_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X76] :
          ( ~ c2_1(X76)
          | ~ c1_1(X76)
          | c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X78] :
          ( ~ c2_1(X78)
          | ~ c1_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp1
      | ! [X80] :
          ( ~ c1_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp30
      | hskp29
      | ! [X81] :
          ( ~ c1_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( ~ c3_1(X82)
          | ~ c1_1(X82)
          | c2_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c2_1(X83)
          | ~ c1_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c1_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X85] :
          ( ~ c1_1(X85)
          | c3_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c2_1(X87)
          | ~ c1_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c3_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X89] :
          ( ~ c1_1(X89)
          | c3_1(X89)
          | c2_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c3_1(X90)
          | c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp8
      | ! [X91] :
          ( ~ c3_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X92] :
          ( ~ c2_1(X92)
          | c3_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X94] :
          ( ~ c3_1(X94)
          | ~ c2_1(X94)
          | ~ c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c2_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X96] :
          ( ~ c2_1(X96)
          | ~ c1_1(X96)
          | ~ c0_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c2_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X98] :
          ( ~ c3_1(X98)
          | ~ c1_1(X98)
          | c2_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c2_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X100] :
          ( ~ c3_1(X100)
          | ~ c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c2_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( ~ c1_1(X102)
          | c3_1(X102)
          | c2_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c0_1(X103)
          | c2_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c3_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( ! [X105] :
          ( ~ c3_1(X105)
          | ~ c1_1(X105)
          | c2_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( c3_1(X106)
          | c2_1(X106)
          | c1_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c3_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X108] :
          ( ~ c3_1(X108)
          | c2_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c3_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp5
      | ! [X110] :
          ( c2_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X111] :
          ( c2_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X112] :
          ( ~ c2_1(X112)
          | ~ c1_1(X112)
          | ~ c0_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( c2_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X114] :
          ( ~ c0_1(X114)
          | c3_1(X114)
          | c2_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X116] :
          ( ~ c2_1(X116)
          | ~ c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( c2_1(X117)
          | c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 ) )
    & ( ! [X118] :
          ( ~ c3_1(X118)
          | ~ c0_1(X118)
          | c2_1(X118)
          | ~ ndr1_0 )
      | ! [X119] :
          ( c3_1(X119)
          | c2_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( c2_1(X120)
          | c1_1(X120)
          | c0_1(X120)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X121] :
          ( ~ c3_1(X121)
          | c1_1(X121)
          | c0_1(X121)
          | ~ ndr1_0 )
      | ! [X122] :
          ( c2_1(X122)
          | c1_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 ) )
    & ( ! [X123] :
          ( ~ c2_1(X123)
          | c1_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 )
      | ! [X124] :
          ( c3_1(X124)
          | c1_1(X124)
          | c0_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( c2_1(X125)
          | c1_1(X125)
          | c0_1(X125)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a410)
        & c2_1(a410)
        & c0_1(a410)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a373)
        & c1_1(a373)
        & c0_1(a373)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a372)
        & c1_1(a372)
        & c0_1(a372)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a365)
        & c2_1(a365)
        & c1_1(a365)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c0_1(a446)
        & c3_1(a446)
        & c2_1(a446)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a418)
        & ~ c2_1(a418)
        & c0_1(a418)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a417)
        & ~ c1_1(a417)
        & c0_1(a417)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a399)
        & ~ c0_1(a399)
        & c1_1(a399)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a398)
        & c3_1(a398)
        & c1_1(a398)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a397)
        & c2_1(a397)
        & c1_1(a397)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a395)
        & ~ c0_1(a395)
        & c1_1(a395)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a388)
        & ~ c2_1(a388)
        & c1_1(a388)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a387)
        & ~ c1_1(a387)
        & ~ c0_1(a387)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a382)
        & ~ c0_1(a382)
        & c3_1(a382)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a380)
        & c1_1(a380)
        & c0_1(a380)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a379)
        & ~ c1_1(a379)
        & c2_1(a379)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a376)
        & ~ c1_1(a376)
        & c0_1(a376)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a375)
        & ~ c0_1(a375)
        & c3_1(a375)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a370)
        & c2_1(a370)
        & c0_1(a370)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a369)
        & c3_1(a369)
        & c0_1(a369)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a368)
        & c3_1(a368)
        & c2_1(a368)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a366)
        & ~ c2_1(a366)
        & ~ c0_1(a366)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a364)
        & ~ c0_1(a364)
        & c2_1(a364)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a363)
        & c2_1(a363)
        & c1_1(a363)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a361)
        & ~ c1_1(a361)
        & c3_1(a361)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a360)
        & ~ c2_1(a360)
        & ~ c1_1(a360)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a359)
        & ~ c1_1(a359)
        & ~ c0_1(a359)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a358)
        & ~ c0_1(a358)
        & c2_1(a358)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c0_1(a357)
        & c3_1(a357)
        & c1_1(a357)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a356)
        & c2_1(a356)
        & c0_1(a356)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a355)
        & c3_1(a355)
        & c0_1(a355)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a353)
        & c1_1(a353)
        & c0_1(a353)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp6
      | hskp4 )
    & ( hskp4
      | hskp11
      | hskp24 )
    & ( hskp6
      | hskp18
      | hskp21 )
    & ( hskp11
      | hskp8
      | hskp25 )
    & ( hskp16
      | hskp11
      | hskp15 )
    & ( hskp4
      | hskp27
      | hskp13 )
    & ( hskp11
      | hskp1
      | hskp17 )
    & ( hskp15
      | hskp13
      | hskp29 )
    & ( hskp11
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp10
      | hskp24
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c1_1(X1) ) ) )
    & ( hskp18
      | hskp31
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp10
      | hskp29
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c2_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp22
      | hskp30
      | ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | ~ c1_1(X4)
            | ~ c0_1(X4) ) ) )
    & ( hskp20
      | hskp22
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c1_1(X5)
            | ~ c0_1(X5) ) ) )
    & ( hskp6
      | ! [X6] :
          ( ndr1_0
         => ( ~ c3_1(X6)
            | ~ c2_1(X6)
            | ~ c1_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c0_1(X7)
            | c3_1(X7) ) ) )
    & ( hskp16
      | ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c2_1(X8)
            | ~ c0_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | ~ c0_1(X9)
            | c3_1(X9) ) ) )
    & ( hskp16
      | hskp17
      | ! [X10] :
          ( ndr1_0
         => ( ~ c1_1(X10)
            | ~ c0_1(X10)
            | c3_1(X10) ) ) )
    & ( hskp12
      | hskp29
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | ~ c0_1(X11)
            | c3_1(X11) ) ) )
    & ( hskp19
      | hskp2
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c1_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp28
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | ~ c2_1(X13)
            | ~ c0_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c1_1(X14)
            | c3_1(X14)
            | c2_1(X14) ) ) )
    & ( ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | ~ c1_1(X15)
            | c2_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c1_1(X16)
            | ~ c0_1(X16)
            | c2_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c1_1(X17)
            | c3_1(X17)
            | c2_1(X17) ) ) )
    & ( hskp26
      | ! [X18] :
          ( ndr1_0
         => ( ~ c0_1(X18)
            | c3_1(X18)
            | c2_1(X18) ) ) )
    & ( hskp25
      | hskp2
      | ! [X19] :
          ( ndr1_0
         => ( ~ c0_1(X19)
            | c3_1(X19)
            | c2_1(X19) ) ) )
    & ( hskp31
      | ! [X20] :
          ( ndr1_0
         => ( ~ c2_1(X20)
            | ~ c0_1(X20)
            | c3_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c0_1(X21)
            | c3_1(X21)
            | c2_1(X21) ) ) )
    & ( hskp19
      | hskp24
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c2_1(X22)
            | c1_1(X22) ) ) )
    & ( hskp23
      | hskp30
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c2_1(X23)
            | c1_1(X23) ) ) )
    & ( hskp31
      | ! [X24] :
          ( ndr1_0
         => ( ~ c0_1(X24)
            | c3_1(X24)
            | c2_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | ~ c0_1(X25)
            | c1_1(X25) ) ) )
    & ( hskp8
      | hskp12
      | ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | ~ c0_1(X26)
            | c1_1(X26) ) ) )
    & ( ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c2_1(X27)
            | ~ c0_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c1_1(X28)
            | ~ c0_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c2_1(X29)
            | c3_1(X29)
            | c1_1(X29) ) ) )
    & ( ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | ~ c1_1(X30)
            | c3_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c3_1(X31)
            | ~ c2_1(X31)
            | c1_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c2_1(X32)
            | c3_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp19
      | hskp3
      | ! [X33] :
          ( ndr1_0
         => ( ~ c0_1(X33)
            | c3_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp8
      | hskp29
      | ! [X34] :
          ( ndr1_0
         => ( ~ c0_1(X34)
            | c3_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp16
      | ! [X35] :
          ( ndr1_0
         => ( ~ c2_1(X35)
            | ~ c1_1(X35)
            | c3_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c0_1(X36)
            | c3_1(X36)
            | c1_1(X36) ) ) )
    & ( hskp19
      | hskp9
      | ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | c2_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp6
      | hskp24
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | c2_1(X38)
            | c1_1(X38) ) ) )
    & ( hskp23
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | ~ c0_1(X39)
            | c1_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) ) )
    & ( hskp22
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c2_1(X41)
            | ~ c1_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c0_1(X42)
            | c2_1(X42)
            | c1_1(X42) ) ) )
    & ( hskp4
      | hskp21
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c2_1(X43)
            | c0_1(X43) ) ) )
    & ( hskp0
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c2_1(X44)
            | c0_1(X44) ) ) )
    & ( hskp16
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c2_1(X45)
            | ~ c1_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | ~ c2_1(X46)
            | c0_1(X46) ) ) )
    & ( hskp10
      | ! [X47] :
          ( ndr1_0
         => ( ~ c1_1(X47)
            | c3_1(X47)
            | c2_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c2_1(X48)
            | c0_1(X48) ) ) )
    & ( hskp15
      | hskp2
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c1_1(X49)
            | c0_1(X49) ) ) )
    & ( hskp17
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | ~ c2_1(X50)
            | ~ c1_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c1_1(X51)
            | c0_1(X51) ) ) )
    & ( ! [X52] :
          ( ndr1_0
         => ( ~ c2_1(X52)
            | ~ c0_1(X52)
            | c3_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | c2_1(X53)
            | c1_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c1_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp20
      | ! [X55] :
          ( ndr1_0
         => ( c3_1(X55)
            | c2_1(X55)
            | c1_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp19
      | hskp28
      | ! [X57] :
          ( ndr1_0
         => ( ~ c2_1(X57)
            | c3_1(X57)
            | c0_1(X57) ) ) )
    & ( ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c2_1(X58)
            | ~ c1_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c2_1(X59)
            | ~ c0_1(X59)
            | c3_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | c3_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp28
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | ~ c0_1(X61)
            | c1_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c1_1(X62)
            | c3_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp3
      | ! [X63] :
          ( ndr1_0
         => ( ~ c0_1(X63)
            | c3_1(X63)
            | c1_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c1_1(X64)
            | c3_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp11
      | ! [X65] :
          ( ndr1_0
         => ( ~ c0_1(X65)
            | c2_1(X65)
            | c1_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c1_1(X66)
            | c3_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp18
      | hskp2
      | ! [X67] :
          ( ndr1_0
         => ( ~ c3_1(X67)
            | c2_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp17
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | c2_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp16
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | ~ c2_1(X69)
            | ~ c1_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | c2_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp4
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | ~ c2_1(X71)
            | ~ c0_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c3_1(X72)
            | c2_1(X72)
            | c0_1(X72) ) ) )
    & ( ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | ~ c1_1(X73)
            | ~ c0_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c2_1(X74)
            | ~ c1_1(X74)
            | ~ c0_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | c2_1(X75)
            | c0_1(X75) ) ) )
    & ( hskp5
      | ! [X76] :
          ( ndr1_0
         => ( ~ c2_1(X76)
            | ~ c1_1(X76)
            | c3_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | c2_1(X77)
            | c0_1(X77) ) ) )
    & ( hskp15
      | ! [X78] :
          ( ndr1_0
         => ( ~ c2_1(X78)
            | ~ c1_1(X78)
            | c0_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | c2_1(X79)
            | c0_1(X79) ) ) )
    & ( hskp14
      | hskp1
      | ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | c2_1(X80)
            | c0_1(X80) ) ) )
    & ( hskp30
      | hskp29
      | ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | c2_1(X81)
            | c0_1(X81) ) ) )
    & ( ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | ~ c1_1(X82)
            | c2_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c2_1(X83)
            | ~ c1_1(X83)
            | c0_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c1_1(X84)
            | c2_1(X84)
            | c0_1(X84) ) ) )
    & ( hskp4
      | ! [X85] :
          ( ndr1_0
         => ( ~ c1_1(X85)
            | c3_1(X85)
            | c0_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | c2_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp13
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c2_1(X87)
            | ~ c1_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( c3_1(X88)
            | c2_1(X88)
            | c0_1(X88) ) ) )
    & ( hskp12
      | ! [X89] :
          ( ndr1_0
         => ( ~ c1_1(X89)
            | c3_1(X89)
            | c2_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( c3_1(X90)
            | c2_1(X90)
            | c0_1(X90) ) ) )
    & ( hskp11
      | hskp8
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | c1_1(X91)
            | c0_1(X91) ) ) )
    & ( hskp10
      | ! [X92] :
          ( ndr1_0
         => ( ~ c2_1(X92)
            | c3_1(X92)
            | c0_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | c1_1(X93)
            | c0_1(X93) ) ) )
    & ( hskp28
      | ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | ~ c2_1(X94)
            | ~ c1_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( ~ c2_1(X95)
            | c1_1(X95)
            | c0_1(X95) ) ) )
    & ( hskp9
      | ! [X96] :
          ( ndr1_0
         => ( ~ c2_1(X96)
            | ~ c1_1(X96)
            | ~ c0_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c2_1(X97)
            | c1_1(X97)
            | c0_1(X97) ) ) )
    & ( hskp8
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | ~ c1_1(X98)
            | c2_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c2_1(X99)
            | c1_1(X99)
            | c0_1(X99) ) ) )
    & ( hskp6
      | ! [X100] :
          ( ndr1_0
         => ( ~ c3_1(X100)
            | ~ c2_1(X100)
            | c0_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c2_1(X101)
            | c1_1(X101)
            | c0_1(X101) ) ) )
    & ( ! [X102] :
          ( ndr1_0
         => ( ~ c1_1(X102)
            | c3_1(X102)
            | c2_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c0_1(X103)
            | c2_1(X103)
            | c1_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( c3_1(X104)
            | c1_1(X104)
            | c0_1(X104) ) ) )
    & ( ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | ~ c1_1(X105)
            | c2_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( c3_1(X106)
            | c2_1(X106)
            | c1_1(X106) ) )
      | ! [X107] :
          ( ndr1_0
         => ( c3_1(X107)
            | c1_1(X107)
            | c0_1(X107) ) ) )
    & ( hskp7
      | ! [X108] :
          ( ndr1_0
         => ( ~ c3_1(X108)
            | c2_1(X108)
            | c0_1(X108) ) )
      | ! [X109] :
          ( ndr1_0
         => ( c3_1(X109)
            | c1_1(X109)
            | c0_1(X109) ) ) )
    & ( hskp6
      | hskp5
      | ! [X110] :
          ( ndr1_0
         => ( c2_1(X110)
            | c1_1(X110)
            | c0_1(X110) ) ) )
    & ( hskp4
      | hskp3
      | ! [X111] :
          ( ndr1_0
         => ( c2_1(X111)
            | c1_1(X111)
            | c0_1(X111) ) ) )
    & ( hskp2
      | ! [X112] :
          ( ndr1_0
         => ( ~ c2_1(X112)
            | ~ c1_1(X112)
            | ~ c0_1(X112) ) )
      | ! [X113] :
          ( ndr1_0
         => ( c2_1(X113)
            | c1_1(X113)
            | c0_1(X113) ) ) )
    & ( hskp1
      | ! [X114] :
          ( ndr1_0
         => ( ~ c0_1(X114)
            | c3_1(X114)
            | c2_1(X114) ) )
      | ! [X115] :
          ( ndr1_0
         => ( c2_1(X115)
            | c1_1(X115)
            | c0_1(X115) ) ) )
    & ( hskp0
      | ! [X116] :
          ( ndr1_0
         => ( ~ c2_1(X116)
            | ~ c1_1(X116)
            | c0_1(X116) ) )
      | ! [X117] :
          ( ndr1_0
         => ( c2_1(X117)
            | c1_1(X117)
            | c0_1(X117) ) ) )
    & ( ! [X118] :
          ( ndr1_0
         => ( ~ c3_1(X118)
            | ~ c0_1(X118)
            | c2_1(X118) ) )
      | ! [X119] :
          ( ndr1_0
         => ( c3_1(X119)
            | c2_1(X119)
            | c0_1(X119) ) )
      | ! [X120] :
          ( ndr1_0
         => ( c2_1(X120)
            | c1_1(X120)
            | c0_1(X120) ) ) )
    & ( hskp0
      | ! [X121] :
          ( ndr1_0
         => ( ~ c3_1(X121)
            | c1_1(X121)
            | c0_1(X121) ) )
      | ! [X122] :
          ( ndr1_0
         => ( c2_1(X122)
            | c1_1(X122)
            | c0_1(X122) ) ) )
    & ( ! [X123] :
          ( ndr1_0
         => ( ~ c2_1(X123)
            | c1_1(X123)
            | c0_1(X123) ) )
      | ! [X124] :
          ( ndr1_0
         => ( c3_1(X124)
            | c1_1(X124)
            | c0_1(X124) ) )
      | ! [X125] :
          ( ndr1_0
         => ( c2_1(X125)
            | c1_1(X125)
            | c0_1(X125) ) ) )
    & ( ( c3_1(a410)
        & c2_1(a410)
        & c0_1(a410)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a373)
        & c1_1(a373)
        & c0_1(a373)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a372)
        & c1_1(a372)
        & c0_1(a372)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a365)
        & c2_1(a365)
        & c1_1(a365)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c0_1(a446)
        & c3_1(a446)
        & c2_1(a446)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a418)
        & ~ c2_1(a418)
        & c0_1(a418)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a417)
        & ~ c1_1(a417)
        & c0_1(a417)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a399)
        & ~ c0_1(a399)
        & c1_1(a399)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a398)
        & c3_1(a398)
        & c1_1(a398)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a397)
        & c2_1(a397)
        & c1_1(a397)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a395)
        & ~ c0_1(a395)
        & c1_1(a395)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a388)
        & ~ c2_1(a388)
        & c1_1(a388)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a387)
        & ~ c1_1(a387)
        & ~ c0_1(a387)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a382)
        & ~ c0_1(a382)
        & c3_1(a382)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a380)
        & c1_1(a380)
        & c0_1(a380)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a379)
        & ~ c1_1(a379)
        & c2_1(a379)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a376)
        & ~ c1_1(a376)
        & c0_1(a376)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a375)
        & ~ c0_1(a375)
        & c3_1(a375)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a370)
        & c2_1(a370)
        & c0_1(a370)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a369)
        & c3_1(a369)
        & c0_1(a369)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a368)
        & c3_1(a368)
        & c2_1(a368)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a366)
        & ~ c2_1(a366)
        & ~ c0_1(a366)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a364)
        & ~ c0_1(a364)
        & c2_1(a364)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a363)
        & c2_1(a363)
        & c1_1(a363)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a361)
        & ~ c1_1(a361)
        & c3_1(a361)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a360)
        & ~ c2_1(a360)
        & ~ c1_1(a360)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a359)
        & ~ c1_1(a359)
        & ~ c0_1(a359)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a358)
        & ~ c0_1(a358)
        & c2_1(a358)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c0_1(a357)
        & c3_1(a357)
        & c1_1(a357)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a356)
        & c2_1(a356)
        & c0_1(a356)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a355)
        & c3_1(a355)
        & c0_1(a355)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a353)
        & c1_1(a353)
        & c0_1(a353)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp6
          | hskp4 )
        & ( hskp4
          | hskp11
          | hskp24 )
        & ( hskp6
          | hskp18
          | hskp21 )
        & ( hskp11
          | hskp8
          | hskp25 )
        & ( hskp16
          | hskp11
          | hskp15 )
        & ( hskp4
          | hskp27
          | hskp13 )
        & ( hskp11
          | hskp1
          | hskp17 )
        & ( hskp15
          | hskp13
          | hskp29 )
        & ( hskp11
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp10
          | hskp24
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c1_1(X1) ) ) )
        & ( hskp18
          | hskp31
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp10
          | hskp29
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c2_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp22
          | hskp30
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c1_1(X4)
                | ~ c0_1(X4) ) ) )
        & ( hskp20
          | hskp22
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c1_1(X5)
                | ~ c0_1(X5) ) ) )
        & ( hskp6
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c2_1(X6)
                | ~ c1_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c0_1(X7)
                | c3_1(X7) ) ) )
        & ( hskp16
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c2_1(X8)
                | ~ c0_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c0_1(X9)
                | c3_1(X9) ) ) )
        & ( hskp16
          | hskp17
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | ~ c0_1(X10)
                | c3_1(X10) ) ) )
        & ( hskp12
          | hskp29
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c3_1(X11) ) ) )
        & ( hskp19
          | hskp2
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c1_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp28
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c2_1(X13)
                | ~ c0_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | c3_1(X14)
                | c2_1(X14) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c1_1(X15)
                | c2_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | ~ c0_1(X16)
                | c2_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | c3_1(X17)
                | c2_1(X17) ) ) )
        & ( hskp26
          | ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | c3_1(X18)
                | c2_1(X18) ) ) )
        & ( hskp25
          | hskp2
          | ! [X19] :
              ( ndr1_0
             => ( ~ c0_1(X19)
                | c3_1(X19)
                | c2_1(X19) ) ) )
        & ( hskp31
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | ~ c0_1(X20)
                | c3_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c0_1(X21)
                | c3_1(X21)
                | c2_1(X21) ) ) )
        & ( hskp19
          | hskp24
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | c1_1(X22) ) ) )
        & ( hskp23
          | hskp30
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c2_1(X23)
                | c1_1(X23) ) ) )
        & ( hskp31
          | ! [X24] :
              ( ndr1_0
             => ( ~ c0_1(X24)
                | c3_1(X24)
                | c2_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c0_1(X25)
                | c1_1(X25) ) ) )
        & ( hskp8
          | hskp12
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | ~ c0_1(X26)
                | c1_1(X26) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c2_1(X27)
                | ~ c0_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c1_1(X28)
                | ~ c0_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | c3_1(X29)
                | c1_1(X29) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | ~ c1_1(X30)
                | c3_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | ~ c2_1(X31)
                | c1_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | c3_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp19
          | hskp3
          | ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp8
          | hskp29
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c3_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp16
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | ~ c1_1(X35)
                | c3_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c0_1(X36)
                | c3_1(X36)
                | c1_1(X36) ) ) )
        & ( hskp19
          | hskp9
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp6
          | hskp24
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c2_1(X38)
                | c1_1(X38) ) ) )
        & ( hskp23
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c0_1(X39)
                | c1_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) ) )
        & ( hskp22
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | ~ c1_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c0_1(X42)
                | c2_1(X42)
                | c1_1(X42) ) ) )
        & ( hskp4
          | hskp21
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp0
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c2_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp16
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | ~ c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c2_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp10
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | c3_1(X47)
                | c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c2_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp15
          | hskp2
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c1_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp17
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c2_1(X50)
                | ~ c1_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | ~ c0_1(X52)
                | c3_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | c2_1(X53)
                | c1_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp20
          | ! [X55] :
              ( ndr1_0
             => ( c3_1(X55)
                | c2_1(X55)
                | c1_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp19
          | hskp28
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | c3_1(X57)
                | c0_1(X57) ) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | ~ c1_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c0_1(X59)
                | c3_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | c3_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp28
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c0_1(X61)
                | c1_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | c3_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp3
          | ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | c3_1(X63)
                | c1_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | c3_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp11
          | ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | c2_1(X65)
                | c1_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | c3_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp18
          | hskp2
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | c2_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp17
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c2_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp16
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c2_1(X69)
                | ~ c1_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | c2_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp4
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c2_1(X71)
                | ~ c0_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | c2_1(X72)
                | c0_1(X72) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c1_1(X73)
                | ~ c0_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | ~ c1_1(X74)
                | ~ c0_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c2_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp5
          | ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | ~ c1_1(X76)
                | c3_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c2_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp15
          | ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | ~ c1_1(X78)
                | c0_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | c2_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp14
          | hskp1
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | c2_1(X80)
                | c0_1(X80) ) ) )
        & ( hskp30
          | hskp29
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | c2_1(X81)
                | c0_1(X81) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c1_1(X82)
                | c2_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c2_1(X83)
                | ~ c1_1(X83)
                | c0_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c1_1(X84)
                | c2_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp4
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | c3_1(X85)
                | c0_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c2_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp13
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c2_1(X87)
                | ~ c1_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | c2_1(X88)
                | c0_1(X88) ) ) )
        & ( hskp12
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | c3_1(X89)
                | c2_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c3_1(X90)
                | c2_1(X90)
                | c0_1(X90) ) ) )
        & ( hskp11
          | hskp8
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | c1_1(X91)
                | c0_1(X91) ) ) )
        & ( hskp10
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | c3_1(X92)
                | c0_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | c1_1(X93)
                | c0_1(X93) ) ) )
        & ( hskp28
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c2_1(X94)
                | ~ c1_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | c1_1(X95)
                | c0_1(X95) ) ) )
        & ( hskp9
          | ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | ~ c1_1(X96)
                | ~ c0_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c2_1(X97)
                | c1_1(X97)
                | c0_1(X97) ) ) )
        & ( hskp8
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c1_1(X98)
                | c2_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c2_1(X99)
                | c1_1(X99)
                | c0_1(X99) ) ) )
        & ( hskp6
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c2_1(X100)
                | c0_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | c1_1(X101)
                | c0_1(X101) ) ) )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c1_1(X102)
                | c3_1(X102)
                | c2_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | c2_1(X103)
                | c1_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( c3_1(X104)
                | c1_1(X104)
                | c0_1(X104) ) ) )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c1_1(X105)
                | c2_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | c2_1(X106)
                | c1_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( c3_1(X107)
                | c1_1(X107)
                | c0_1(X107) ) ) )
        & ( hskp7
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | c2_1(X108)
                | c0_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( c3_1(X109)
                | c1_1(X109)
                | c0_1(X109) ) ) )
        & ( hskp6
          | hskp5
          | ! [X110] :
              ( ndr1_0
             => ( c2_1(X110)
                | c1_1(X110)
                | c0_1(X110) ) ) )
        & ( hskp4
          | hskp3
          | ! [X111] :
              ( ndr1_0
             => ( c2_1(X111)
                | c1_1(X111)
                | c0_1(X111) ) ) )
        & ( hskp2
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c1_1(X112)
                | ~ c0_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( c2_1(X113)
                | c1_1(X113)
                | c0_1(X113) ) ) )
        & ( hskp1
          | ! [X114] :
              ( ndr1_0
             => ( ~ c0_1(X114)
                | c3_1(X114)
                | c2_1(X114) ) )
          | ! [X115] :
              ( ndr1_0
             => ( c2_1(X115)
                | c1_1(X115)
                | c0_1(X115) ) ) )
        & ( hskp0
          | ! [X116] :
              ( ndr1_0
             => ( ~ c2_1(X116)
                | ~ c1_1(X116)
                | c0_1(X116) ) )
          | ! [X117] :
              ( ndr1_0
             => ( c2_1(X117)
                | c1_1(X117)
                | c0_1(X117) ) ) )
        & ( ! [X118] :
              ( ndr1_0
             => ( ~ c3_1(X118)
                | ~ c0_1(X118)
                | c2_1(X118) ) )
          | ! [X119] :
              ( ndr1_0
             => ( c3_1(X119)
                | c2_1(X119)
                | c0_1(X119) ) )
          | ! [X120] :
              ( ndr1_0
             => ( c2_1(X120)
                | c1_1(X120)
                | c0_1(X120) ) ) )
        & ( hskp0
          | ! [X121] :
              ( ndr1_0
             => ( ~ c3_1(X121)
                | c1_1(X121)
                | c0_1(X121) ) )
          | ! [X122] :
              ( ndr1_0
             => ( c2_1(X122)
                | c1_1(X122)
                | c0_1(X122) ) ) )
        & ( ! [X123] :
              ( ndr1_0
             => ( ~ c2_1(X123)
                | c1_1(X123)
                | c0_1(X123) ) )
          | ! [X124] :
              ( ndr1_0
             => ( c3_1(X124)
                | c1_1(X124)
                | c0_1(X124) ) )
          | ! [X125] :
              ( ndr1_0
             => ( c2_1(X125)
                | c1_1(X125)
                | c0_1(X125) ) ) )
        & ( ( c3_1(a410)
            & c2_1(a410)
            & c0_1(a410)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a373)
            & c1_1(a373)
            & c0_1(a373)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a372)
            & c1_1(a372)
            & c0_1(a372)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a365)
            & c2_1(a365)
            & c1_1(a365)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c0_1(a446)
            & c3_1(a446)
            & c2_1(a446)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a418)
            & ~ c2_1(a418)
            & c0_1(a418)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a417)
            & ~ c1_1(a417)
            & c0_1(a417)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a399)
            & ~ c0_1(a399)
            & c1_1(a399)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a398)
            & c3_1(a398)
            & c1_1(a398)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c0_1(a397)
            & c2_1(a397)
            & c1_1(a397)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a395)
            & ~ c0_1(a395)
            & c1_1(a395)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a388)
            & ~ c2_1(a388)
            & c1_1(a388)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a387)
            & ~ c1_1(a387)
            & ~ c0_1(a387)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a382)
            & ~ c0_1(a382)
            & c3_1(a382)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a380)
            & c1_1(a380)
            & c0_1(a380)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a379)
            & ~ c1_1(a379)
            & c2_1(a379)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a376)
            & ~ c1_1(a376)
            & c0_1(a376)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a375)
            & ~ c0_1(a375)
            & c3_1(a375)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a370)
            & c2_1(a370)
            & c0_1(a370)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a369)
            & c3_1(a369)
            & c0_1(a369)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a368)
            & c3_1(a368)
            & c2_1(a368)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a366)
            & ~ c2_1(a366)
            & ~ c0_1(a366)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a364)
            & ~ c0_1(a364)
            & c2_1(a364)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a363)
            & c2_1(a363)
            & c1_1(a363)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a361)
            & ~ c1_1(a361)
            & c3_1(a361)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a360)
            & ~ c2_1(a360)
            & ~ c1_1(a360)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a359)
            & ~ c1_1(a359)
            & ~ c0_1(a359)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a358)
            & ~ c0_1(a358)
            & c2_1(a358)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c0_1(a357)
            & c3_1(a357)
            & c1_1(a357)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a356)
            & c2_1(a356)
            & c0_1(a356)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a355)
            & c3_1(a355)
            & c0_1(a355)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a353)
            & c1_1(a353)
            & c0_1(a353)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp6
          | hskp4 )
        & ( hskp4
          | hskp11
          | hskp24 )
        & ( hskp6
          | hskp18
          | hskp21 )
        & ( hskp11
          | hskp8
          | hskp25 )
        & ( hskp16
          | hskp11
          | hskp15 )
        & ( hskp4
          | hskp27
          | hskp13 )
        & ( hskp11
          | hskp1
          | hskp17 )
        & ( hskp15
          | hskp13
          | hskp29 )
        & ( hskp11
          | ! [X125] :
              ( ndr1_0
             => ( ~ c3_1(X125)
                | ~ c2_1(X125)
                | ~ c1_1(X125) ) ) )
        & ( hskp10
          | hskp24
          | ! [X124] :
              ( ndr1_0
             => ( ~ c3_1(X124)
                | ~ c2_1(X124)
                | ~ c1_1(X124) ) ) )
        & ( hskp18
          | hskp31
          | ! [X123] :
              ( ndr1_0
             => ( ~ c3_1(X123)
                | ~ c2_1(X123)
                | ~ c0_1(X123) ) ) )
        & ( hskp10
          | hskp29
          | ! [X122] :
              ( ndr1_0
             => ( ~ c3_1(X122)
                | ~ c2_1(X122)
                | ~ c0_1(X122) ) ) )
        & ( hskp22
          | hskp30
          | ! [X121] :
              ( ndr1_0
             => ( ~ c3_1(X121)
                | ~ c1_1(X121)
                | ~ c0_1(X121) ) ) )
        & ( hskp20
          | hskp22
          | ! [X120] :
              ( ndr1_0
             => ( ~ c2_1(X120)
                | ~ c1_1(X120)
                | ~ c0_1(X120) ) ) )
        & ( hskp6
          | ! [X119] :
              ( ndr1_0
             => ( ~ c3_1(X119)
                | ~ c2_1(X119)
                | ~ c1_1(X119) ) )
          | ! [X118] :
              ( ndr1_0
             => ( ~ c2_1(X118)
                | ~ c0_1(X118)
                | c3_1(X118) ) ) )
        & ( hskp16
          | ! [X117] :
              ( ndr1_0
             => ( ~ c3_1(X117)
                | ~ c2_1(X117)
                | ~ c0_1(X117) ) )
          | ! [X116] :
              ( ndr1_0
             => ( ~ c2_1(X116)
                | ~ c0_1(X116)
                | c3_1(X116) ) ) )
        & ( hskp16
          | hskp17
          | ! [X115] :
              ( ndr1_0
             => ( ~ c1_1(X115)
                | ~ c0_1(X115)
                | c3_1(X115) ) ) )
        & ( hskp12
          | hskp29
          | ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | ~ c0_1(X114)
                | c3_1(X114) ) ) )
        & ( hskp19
          | hskp2
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c1_1(X113)
                | c2_1(X113) ) ) )
        & ( hskp28
          | ! [X112] :
              ( ndr1_0
             => ( ~ c3_1(X112)
                | ~ c2_1(X112)
                | ~ c0_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | c3_1(X111)
                | c2_1(X111) ) ) )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c1_1(X110)
                | c2_1(X110) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | ~ c0_1(X109)
                | c2_1(X109) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c1_1(X108)
                | c3_1(X108)
                | c2_1(X108) ) ) )
        & ( hskp26
          | ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | c3_1(X107)
                | c2_1(X107) ) ) )
        & ( hskp25
          | hskp2
          | ! [X106] :
              ( ndr1_0
             => ( ~ c0_1(X106)
                | c3_1(X106)
                | c2_1(X106) ) ) )
        & ( hskp31
          | ! [X105] :
              ( ndr1_0
             => ( ~ c2_1(X105)
                | ~ c0_1(X105)
                | c3_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | c3_1(X104)
                | c2_1(X104) ) ) )
        & ( hskp19
          | hskp24
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c2_1(X103)
                | c1_1(X103) ) ) )
        & ( hskp23
          | hskp30
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | c1_1(X102) ) ) )
        & ( hskp31
          | ! [X101] :
              ( ndr1_0
             => ( ~ c0_1(X101)
                | c3_1(X101)
                | c2_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c0_1(X100)
                | c1_1(X100) ) ) )
        & ( hskp8
          | hskp12
          | ! [X99] :
              ( ndr1_0
             => ( ~ c2_1(X99)
                | ~ c0_1(X99)
                | c1_1(X99) ) ) )
        & ( ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c2_1(X98)
                | ~ c0_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c1_1(X97)
                | ~ c0_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | c3_1(X96)
                | c1_1(X96) ) ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c1_1(X95)
                | c3_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c2_1(X94)
                | c1_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | c3_1(X93)
                | c1_1(X93) ) ) )
        & ( hskp19
          | hskp3
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | c3_1(X92)
                | c1_1(X92) ) ) )
        & ( hskp8
          | hskp29
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | c3_1(X91)
                | c1_1(X91) ) ) )
        & ( hskp16
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | ~ c1_1(X90)
                | c3_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c3_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp19
          | hskp9
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | c2_1(X88)
                | c1_1(X88) ) ) )
        & ( hskp6
          | hskp24
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | c2_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp23
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c0_1(X86)
                | c1_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | c2_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp22
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c2_1(X84)
                | ~ c1_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | c2_1(X83)
                | c1_1(X83) ) ) )
        & ( hskp4
          | hskp21
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c2_1(X82)
                | c0_1(X82) ) ) )
        & ( hskp0
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c2_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp16
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c2_1(X80)
                | ~ c1_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c2_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp10
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | c3_1(X78)
                | c2_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c2_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp15
          | hskp2
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c1_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp17
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c2_1(X75)
                | ~ c1_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c1_1(X74)
                | c0_1(X74) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c0_1(X73)
                | c3_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c1_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp20
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c1_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp19
          | hskp28
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | c3_1(X68)
                | c0_1(X68) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c2_1(X67)
                | ~ c1_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | ~ c0_1(X66)
                | c3_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | c3_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp28
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | ~ c0_1(X64)
                | c1_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | c3_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp3
          | ! [X62] :
              ( ndr1_0
             => ( ~ c0_1(X62)
                | c3_1(X62)
                | c1_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | c3_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp11
          | ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | c2_1(X60)
                | c1_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | c3_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp18
          | hskp2
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | c2_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp17
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | c2_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp16
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c2_1(X56)
                | ~ c1_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | c2_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp4
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c2_1(X54)
                | ~ c0_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | c2_1(X53)
                | c0_1(X53) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c1_1(X52)
                | ~ c0_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c1_1(X51)
                | ~ c0_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp5
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c1_1(X49)
                | c3_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | c2_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp15
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | ~ c1_1(X47)
                | c0_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | c2_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp14
          | hskp1
          | ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | c2_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp30
          | hskp29
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | c2_1(X44)
                | c0_1(X44) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c1_1(X43)
                | c2_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c1_1(X42)
                | c0_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp4
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | c3_1(X40)
                | c0_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp13
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c2_1(X38)
                | ~ c1_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp12
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c3_1(X36)
                | c2_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c3_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp11
          | hskp8
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c1_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp10
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | c3_1(X33)
                | c0_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | c1_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp28
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | ~ c2_1(X31)
                | ~ c1_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | c1_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp9
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | ~ c1_1(X29)
                | ~ c0_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | c1_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp8
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c1_1(X27)
                | c2_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | c1_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp6
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c2_1(X25)
                | c0_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | c1_1(X24)
                | c0_1(X24) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | c3_1(X23)
                | c2_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c0_1(X22)
                | c2_1(X22)
                | c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c3_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c1_1(X20)
                | c2_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c3_1(X19)
                | c2_1(X19)
                | c1_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp7
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | c2_1(X17)
                | c0_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c3_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp6
          | hskp5
          | ! [X15] :
              ( ndr1_0
             => ( c2_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp4
          | hskp3
          | ! [X14] :
              ( ndr1_0
             => ( c2_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp2
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | ~ c1_1(X13)
                | ~ c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp1
          | ! [X11] :
              ( ndr1_0
             => ( ~ c0_1(X11)
                | c3_1(X11)
                | c2_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp0
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c1_1(X9)
                | c0_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c2_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c0_1(X7)
                | c2_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c2_1(X6)
                | c0_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a410)
            & c2_1(a410)
            & c0_1(a410)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a373)
            & c1_1(a373)
            & c0_1(a373)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a372)
            & c1_1(a372)
            & c0_1(a372)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a365)
            & c2_1(a365)
            & c1_1(a365)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c0_1(a446)
            & c3_1(a446)
            & c2_1(a446)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a418)
            & ~ c2_1(a418)
            & c0_1(a418)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a417)
            & ~ c1_1(a417)
            & c0_1(a417)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a399)
            & ~ c0_1(a399)
            & c1_1(a399)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a398)
            & c3_1(a398)
            & c1_1(a398)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c0_1(a397)
            & c2_1(a397)
            & c1_1(a397)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a395)
            & ~ c0_1(a395)
            & c1_1(a395)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a388)
            & ~ c2_1(a388)
            & c1_1(a388)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a387)
            & ~ c1_1(a387)
            & ~ c0_1(a387)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a382)
            & ~ c0_1(a382)
            & c3_1(a382)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a380)
            & c1_1(a380)
            & c0_1(a380)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a379)
            & ~ c1_1(a379)
            & c2_1(a379)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a376)
            & ~ c1_1(a376)
            & c0_1(a376)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a375)
            & ~ c0_1(a375)
            & c3_1(a375)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a370)
            & c2_1(a370)
            & c0_1(a370)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a369)
            & c3_1(a369)
            & c0_1(a369)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a368)
            & c3_1(a368)
            & c2_1(a368)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a366)
            & ~ c2_1(a366)
            & ~ c0_1(a366)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a364)
            & ~ c0_1(a364)
            & c2_1(a364)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a363)
            & c2_1(a363)
            & c1_1(a363)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a361)
            & ~ c1_1(a361)
            & c3_1(a361)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a360)
            & ~ c2_1(a360)
            & ~ c1_1(a360)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a359)
            & ~ c1_1(a359)
            & ~ c0_1(a359)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a358)
            & ~ c0_1(a358)
            & c2_1(a358)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c0_1(a357)
            & c3_1(a357)
            & c1_1(a357)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a356)
            & c2_1(a356)
            & c0_1(a356)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a355)
            & c3_1(a355)
            & c0_1(a355)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a353)
            & c1_1(a353)
            & c0_1(a353)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp6
        | hskp4 )
      & ( hskp4
        | hskp11
        | hskp24 )
      & ( hskp6
        | hskp18
        | hskp21 )
      & ( hskp11
        | hskp8
        | hskp25 )
      & ( hskp16
        | hskp11
        | hskp15 )
      & ( hskp4
        | hskp27
        | hskp13 )
      & ( hskp11
        | hskp1
        | hskp17 )
      & ( hskp15
        | hskp13
        | hskp29 )
      & ( hskp11
        | ! [X125] :
            ( ndr1_0
           => ( ~ c3_1(X125)
              | ~ c2_1(X125)
              | ~ c1_1(X125) ) ) )
      & ( hskp10
        | hskp24
        | ! [X124] :
            ( ndr1_0
           => ( ~ c3_1(X124)
              | ~ c2_1(X124)
              | ~ c1_1(X124) ) ) )
      & ( hskp18
        | hskp31
        | ! [X123] :
            ( ndr1_0
           => ( ~ c3_1(X123)
              | ~ c2_1(X123)
              | ~ c0_1(X123) ) ) )
      & ( hskp10
        | hskp29
        | ! [X122] :
            ( ndr1_0
           => ( ~ c3_1(X122)
              | ~ c2_1(X122)
              | ~ c0_1(X122) ) ) )
      & ( hskp22
        | hskp30
        | ! [X121] :
            ( ndr1_0
           => ( ~ c3_1(X121)
              | ~ c1_1(X121)
              | ~ c0_1(X121) ) ) )
      & ( hskp20
        | hskp22
        | ! [X120] :
            ( ndr1_0
           => ( ~ c2_1(X120)
              | ~ c1_1(X120)
              | ~ c0_1(X120) ) ) )
      & ( hskp6
        | ! [X119] :
            ( ndr1_0
           => ( ~ c3_1(X119)
              | ~ c2_1(X119)
              | ~ c1_1(X119) ) )
        | ! [X118] :
            ( ndr1_0
           => ( ~ c2_1(X118)
              | ~ c0_1(X118)
              | c3_1(X118) ) ) )
      & ( hskp16
        | ! [X117] :
            ( ndr1_0
           => ( ~ c3_1(X117)
              | ~ c2_1(X117)
              | ~ c0_1(X117) ) )
        | ! [X116] :
            ( ndr1_0
           => ( ~ c2_1(X116)
              | ~ c0_1(X116)
              | c3_1(X116) ) ) )
      & ( hskp16
        | hskp17
        | ! [X115] :
            ( ndr1_0
           => ( ~ c1_1(X115)
              | ~ c0_1(X115)
              | c3_1(X115) ) ) )
      & ( hskp12
        | hskp29
        | ! [X114] :
            ( ndr1_0
           => ( ~ c1_1(X114)
              | ~ c0_1(X114)
              | c3_1(X114) ) ) )
      & ( hskp19
        | hskp2
        | ! [X113] :
            ( ndr1_0
           => ( ~ c3_1(X113)
              | ~ c1_1(X113)
              | c2_1(X113) ) ) )
      & ( hskp28
        | ! [X112] :
            ( ndr1_0
           => ( ~ c3_1(X112)
              | ~ c2_1(X112)
              | ~ c0_1(X112) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c1_1(X111)
              | c3_1(X111)
              | c2_1(X111) ) ) )
      & ( ! [X110] :
            ( ndr1_0
           => ( ~ c3_1(X110)
              | ~ c1_1(X110)
              | c2_1(X110) ) )
        | ! [X109] :
            ( ndr1_0
           => ( ~ c1_1(X109)
              | ~ c0_1(X109)
              | c2_1(X109) ) )
        | ! [X108] :
            ( ndr1_0
           => ( ~ c1_1(X108)
              | c3_1(X108)
              | c2_1(X108) ) ) )
      & ( hskp26
        | ! [X107] :
            ( ndr1_0
           => ( ~ c0_1(X107)
              | c3_1(X107)
              | c2_1(X107) ) ) )
      & ( hskp25
        | hskp2
        | ! [X106] :
            ( ndr1_0
           => ( ~ c0_1(X106)
              | c3_1(X106)
              | c2_1(X106) ) ) )
      & ( hskp31
        | ! [X105] :
            ( ndr1_0
           => ( ~ c2_1(X105)
              | ~ c0_1(X105)
              | c3_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c0_1(X104)
              | c3_1(X104)
              | c2_1(X104) ) ) )
      & ( hskp19
        | hskp24
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c2_1(X103)
              | c1_1(X103) ) ) )
      & ( hskp23
        | hskp30
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | c1_1(X102) ) ) )
      & ( hskp31
        | ! [X101] :
            ( ndr1_0
           => ( ~ c0_1(X101)
              | c3_1(X101)
              | c2_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c0_1(X100)
              | c1_1(X100) ) ) )
      & ( hskp8
        | hskp12
        | ! [X99] :
            ( ndr1_0
           => ( ~ c2_1(X99)
              | ~ c0_1(X99)
              | c1_1(X99) ) ) )
      & ( ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c2_1(X98)
              | ~ c0_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c1_1(X97)
              | ~ c0_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c2_1(X96)
              | c3_1(X96)
              | c1_1(X96) ) ) )
      & ( ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c1_1(X95)
              | c3_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c2_1(X94)
              | c1_1(X94) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c2_1(X93)
              | c3_1(X93)
              | c1_1(X93) ) ) )
      & ( hskp19
        | hskp3
        | ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | c3_1(X92)
              | c1_1(X92) ) ) )
      & ( hskp8
        | hskp29
        | ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | c3_1(X91)
              | c1_1(X91) ) ) )
      & ( hskp16
        | ! [X90] :
            ( ndr1_0
           => ( ~ c2_1(X90)
              | ~ c1_1(X90)
              | c3_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | c3_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp19
        | hskp9
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | c2_1(X88)
              | c1_1(X88) ) ) )
      & ( hskp6
        | hskp24
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | c2_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp23
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c0_1(X86)
              | c1_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | c2_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp22
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c2_1(X84)
              | ~ c1_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | c2_1(X83)
              | c1_1(X83) ) ) )
      & ( hskp4
        | hskp21
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c2_1(X82)
              | c0_1(X82) ) ) )
      & ( hskp0
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c2_1(X81)
              | c0_1(X81) ) ) )
      & ( hskp16
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c2_1(X80)
              | ~ c1_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c2_1(X79)
              | c0_1(X79) ) ) )
      & ( hskp10
        | ! [X78] :
            ( ndr1_0
           => ( ~ c1_1(X78)
              | c3_1(X78)
              | c2_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | ~ c2_1(X77)
              | c0_1(X77) ) ) )
      & ( hskp15
        | hskp2
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c1_1(X76)
              | c0_1(X76) ) ) )
      & ( hskp17
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c2_1(X75)
              | ~ c1_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c1_1(X74)
              | c0_1(X74) ) ) )
      & ( ! [X73] :
            ( ndr1_0
           => ( ~ c2_1(X73)
              | ~ c0_1(X73)
              | c3_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c1_1(X71)
              | c0_1(X71) ) ) )
      & ( hskp20
        | ! [X70] :
            ( ndr1_0
           => ( c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c1_1(X69)
              | c0_1(X69) ) ) )
      & ( hskp19
        | hskp28
        | ! [X68] :
            ( ndr1_0
           => ( ~ c2_1(X68)
              | c3_1(X68)
              | c0_1(X68) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c2_1(X67)
              | ~ c1_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c2_1(X66)
              | ~ c0_1(X66)
              | c3_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c2_1(X65)
              | c3_1(X65)
              | c0_1(X65) ) ) )
      & ( hskp28
        | ! [X64] :
            ( ndr1_0
           => ( ~ c2_1(X64)
              | ~ c0_1(X64)
              | c1_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c1_1(X63)
              | c3_1(X63)
              | c0_1(X63) ) ) )
      & ( hskp3
        | ! [X62] :
            ( ndr1_0
           => ( ~ c0_1(X62)
              | c3_1(X62)
              | c1_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c1_1(X61)
              | c3_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp11
        | ! [X60] :
            ( ndr1_0
           => ( ~ c0_1(X60)
              | c2_1(X60)
              | c1_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c1_1(X59)
              | c3_1(X59)
              | c0_1(X59) ) ) )
      & ( hskp18
        | hskp2
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | c2_1(X58)
              | c0_1(X58) ) ) )
      & ( hskp17
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | c2_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp16
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c2_1(X56)
              | ~ c1_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | c2_1(X55)
              | c0_1(X55) ) ) )
      & ( hskp4
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c2_1(X54)
              | ~ c0_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | c2_1(X53)
              | c0_1(X53) ) ) )
      & ( ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | ~ c1_1(X52)
              | ~ c0_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | ~ c1_1(X51)
              | ~ c0_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | c2_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp5
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | ~ c1_1(X49)
              | c3_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | c2_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp15
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | ~ c1_1(X47)
              | c0_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | c2_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp14
        | hskp1
        | ! [X45] :
            ( ndr1_0
           => ( ~ c1_1(X45)
              | c2_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp30
        | hskp29
        | ! [X44] :
            ( ndr1_0
           => ( ~ c1_1(X44)
              | c2_1(X44)
              | c0_1(X44) ) ) )
      & ( ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | ~ c1_1(X43)
              | c2_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | ~ c1_1(X42)
              | c0_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp4
        | ! [X40] :
            ( ndr1_0
           => ( ~ c1_1(X40)
              | c3_1(X40)
              | c0_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp13
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | ~ c2_1(X38)
              | ~ c1_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c3_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp12
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c3_1(X36)
              | c2_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c3_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp11
        | hskp8
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | c1_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp10
        | ! [X33] :
            ( ndr1_0
           => ( ~ c2_1(X33)
              | c3_1(X33)
              | c0_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | c1_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp28
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | ~ c2_1(X31)
              | ~ c1_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c2_1(X30)
              | c1_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp9
        | ! [X29] :
            ( ndr1_0
           => ( ~ c2_1(X29)
              | ~ c1_1(X29)
              | ~ c0_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c2_1(X28)
              | c1_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp8
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | ~ c1_1(X27)
              | c2_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c2_1(X26)
              | c1_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp6
        | ! [X25] :
            ( ndr1_0
           => ( ~ c3_1(X25)
              | ~ c2_1(X25)
              | c0_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c2_1(X24)
              | c1_1(X24)
              | c0_1(X24) ) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( ~ c1_1(X23)
              | c3_1(X23)
              | c2_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c0_1(X22)
              | c2_1(X22)
              | c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c3_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | ~ c1_1(X20)
              | c2_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c3_1(X19)
              | c2_1(X19)
              | c1_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c3_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp7
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | c2_1(X17)
              | c0_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c3_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp6
        | hskp5
        | ! [X15] :
            ( ndr1_0
           => ( c2_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp4
        | hskp3
        | ! [X14] :
            ( ndr1_0
           => ( c2_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp2
        | ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | ~ c1_1(X13)
              | ~ c0_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( hskp1
        | ! [X11] :
            ( ndr1_0
           => ( ~ c0_1(X11)
              | c3_1(X11)
              | c2_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c2_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp0
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | ~ c1_1(X9)
              | c0_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c2_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | ~ c0_1(X7)
              | c2_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c2_1(X6)
              | c0_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp0
        | ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a410)
          & c2_1(a410)
          & c0_1(a410)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c3_1(a373)
          & c1_1(a373)
          & c0_1(a373)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c2_1(a372)
          & c1_1(a372)
          & c0_1(a372)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a365)
          & c2_1(a365)
          & c1_1(a365)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c0_1(a446)
          & c3_1(a446)
          & c2_1(a446)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a418)
          & ~ c2_1(a418)
          & c0_1(a418)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a417)
          & ~ c1_1(a417)
          & c0_1(a417)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a399)
          & ~ c0_1(a399)
          & c1_1(a399)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c2_1(a398)
          & c3_1(a398)
          & c1_1(a398)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c0_1(a397)
          & c2_1(a397)
          & c1_1(a397)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c2_1(a395)
          & ~ c0_1(a395)
          & c1_1(a395)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a388)
          & ~ c2_1(a388)
          & c1_1(a388)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c2_1(a387)
          & ~ c1_1(a387)
          & ~ c0_1(a387)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a382)
          & ~ c0_1(a382)
          & c3_1(a382)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a380)
          & c1_1(a380)
          & c0_1(a380)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a379)
          & ~ c1_1(a379)
          & c2_1(a379)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c2_1(a376)
          & ~ c1_1(a376)
          & c0_1(a376)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c1_1(a375)
          & ~ c0_1(a375)
          & c3_1(a375)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a370)
          & c2_1(a370)
          & c0_1(a370)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a369)
          & c3_1(a369)
          & c0_1(a369)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c1_1(a368)
          & c3_1(a368)
          & c2_1(a368)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a366)
          & ~ c2_1(a366)
          & ~ c0_1(a366)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a364)
          & ~ c0_1(a364)
          & c2_1(a364)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a363)
          & c2_1(a363)
          & c1_1(a363)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a361)
          & ~ c1_1(a361)
          & c3_1(a361)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a360)
          & ~ c2_1(a360)
          & ~ c1_1(a360)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a359)
          & ~ c1_1(a359)
          & ~ c0_1(a359)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a358)
          & ~ c0_1(a358)
          & c2_1(a358)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c0_1(a357)
          & c3_1(a357)
          & c1_1(a357)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c1_1(a356)
          & c2_1(a356)
          & c0_1(a356)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c1_1(a355)
          & c3_1(a355)
          & c0_1(a355)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a353)
          & c1_1(a353)
          & c0_1(a353)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f1071,plain,
    ( ~ spl0_49
    | spl0_160 ),
    inference(avatar_split_clause,[],[f9,f1068,f470]) ).

fof(f9,plain,
    ( c1_1(a353)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1066,plain,
    ( ~ spl0_49
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f10,f1063,f470]) ).

fof(f10,plain,
    ( ~ c2_1(a353)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1061,plain,
    ( ~ spl0_14
    | spl0_16 ),
    inference(avatar_split_clause,[],[f11,f327,f317]) ).

fof(f317,plain,
    ( spl0_14
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f327,plain,
    ( spl0_16
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

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

fof(f1060,plain,
    ( ~ spl0_14
    | spl0_158 ),
    inference(avatar_split_clause,[],[f12,f1057,f317]) ).

fof(f12,plain,
    ( c0_1(a355)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1055,plain,
    ( ~ spl0_14
    | spl0_157 ),
    inference(avatar_split_clause,[],[f13,f1052,f317]) ).

fof(f13,plain,
    ( c3_1(a355)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1050,plain,
    ( ~ spl0_14
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f14,f1047,f317]) ).

fof(f14,plain,
    ( ~ c1_1(a355)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1044,plain,
    ( ~ spl0_30
    | spl0_155 ),
    inference(avatar_split_clause,[],[f16,f1041,f386]) ).

fof(f386,plain,
    ( spl0_30
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f16,plain,
    ( c0_1(a356)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1039,plain,
    ( ~ spl0_30
    | spl0_154 ),
    inference(avatar_split_clause,[],[f17,f1036,f386]) ).

fof(f17,plain,
    ( c2_1(a356)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1034,plain,
    ( ~ spl0_30
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f18,f1031,f386]) ).

fof(f18,plain,
    ( ~ c1_1(a356)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1028,plain,
    ( ~ spl0_44
    | spl0_152 ),
    inference(avatar_split_clause,[],[f20,f1025,f445]) ).

fof(f445,plain,
    ( spl0_44
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f20,plain,
    ( c1_1(a357)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1023,plain,
    ( ~ spl0_44
    | spl0_151 ),
    inference(avatar_split_clause,[],[f21,f1020,f445]) ).

fof(f21,plain,
    ( c3_1(a357)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1018,plain,
    ( ~ spl0_44
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f22,f1015,f445]) ).

fof(f22,plain,
    ( ~ c0_1(a357)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1007,plain,
    ( ~ spl0_1
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f25,f1004,f259]) ).

fof(f259,plain,
    ( spl0_1
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f25,plain,
    ( ~ c0_1(a358)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1002,plain,
    ( ~ spl0_1
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f26,f999,f259]) ).

fof(f26,plain,
    ( ~ c3_1(a358)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f980,plain,
    ( ~ spl0_2
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f32,f977,f263]) ).

fof(f263,plain,
    ( spl0_2
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f32,plain,
    ( ~ c1_1(a360)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f975,plain,
    ( ~ spl0_2
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f33,f972,f263]) ).

fof(f33,plain,
    ( ~ c2_1(a360)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f970,plain,
    ( ~ spl0_2
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f34,f967,f263]) ).

fof(f34,plain,
    ( ~ c3_1(a360)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f948,plain,
    ( ~ spl0_8
    | spl0_137 ),
    inference(avatar_split_clause,[],[f40,f945,f290]) ).

fof(f290,plain,
    ( spl0_8
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f40,plain,
    ( c1_1(a363)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f943,plain,
    ( ~ spl0_8
    | spl0_136 ),
    inference(avatar_split_clause,[],[f41,f940,f290]) ).

fof(f41,plain,
    ( c2_1(a363)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f938,plain,
    ( ~ spl0_8
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f42,f935,f290]) ).

fof(f42,plain,
    ( ~ c3_1(a363)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f932,plain,
    ( ~ spl0_46
    | spl0_134 ),
    inference(avatar_split_clause,[],[f44,f929,f455]) ).

fof(f455,plain,
    ( spl0_46
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f44,plain,
    ( c2_1(a364)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f927,plain,
    ( ~ spl0_46
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f45,f924,f455]) ).

fof(f45,plain,
    ( ~ c0_1(a364)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f916,plain,
    ( ~ spl0_18
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f48,f913,f335]) ).

fof(f335,plain,
    ( spl0_18
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f48,plain,
    ( ~ c0_1(a366)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f911,plain,
    ( ~ spl0_18
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f49,f908,f335]) ).

fof(f49,plain,
    ( ~ c2_1(a366)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f901,plain,
    ( ~ spl0_4
    | spl0_16 ),
    inference(avatar_split_clause,[],[f51,f327,f272]) ).

fof(f272,plain,
    ( spl0_4
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

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

fof(f900,plain,
    ( ~ spl0_4
    | spl0_128 ),
    inference(avatar_split_clause,[],[f52,f897,f272]) ).

fof(f52,plain,
    ( c2_1(a368)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f895,plain,
    ( ~ spl0_4
    | spl0_127 ),
    inference(avatar_split_clause,[],[f53,f892,f272]) ).

fof(f53,plain,
    ( c3_1(a368)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f890,plain,
    ( ~ spl0_4
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f54,f887,f272]) ).

fof(f54,plain,
    ( ~ c1_1(a368)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f884,plain,
    ( ~ spl0_28
    | spl0_125 ),
    inference(avatar_split_clause,[],[f56,f881,f378]) ).

fof(f378,plain,
    ( spl0_28
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f56,plain,
    ( c0_1(a369)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f879,plain,
    ( ~ spl0_28
    | spl0_124 ),
    inference(avatar_split_clause,[],[f57,f876,f378]) ).

fof(f57,plain,
    ( c3_1(a369)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f874,plain,
    ( ~ spl0_28
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f58,f871,f378]) ).

fof(f58,plain,
    ( ~ c2_1(a369)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f868,plain,
    ( ~ spl0_11
    | spl0_122 ),
    inference(avatar_split_clause,[],[f60,f865,f304]) ).

fof(f304,plain,
    ( spl0_11
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f60,plain,
    ( c0_1(a370)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f863,plain,
    ( ~ spl0_11
    | spl0_121 ),
    inference(avatar_split_clause,[],[f61,f860,f304]) ).

fof(f61,plain,
    ( c2_1(a370)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f858,plain,
    ( ~ spl0_11
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f62,f855,f304]) ).

fof(f62,plain,
    ( ~ c3_1(a370)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f852,plain,
    ( ~ spl0_58
    | spl0_119 ),
    inference(avatar_split_clause,[],[f64,f849,f518]) ).

fof(f518,plain,
    ( spl0_58
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f64,plain,
    ( c3_1(a375)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f836,plain,
    ( ~ spl0_9
    | spl0_116 ),
    inference(avatar_split_clause,[],[f68,f833,f295]) ).

fof(f295,plain,
    ( spl0_9
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f68,plain,
    ( c0_1(a376)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f831,plain,
    ( ~ spl0_9
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f69,f828,f295]) ).

fof(f69,plain,
    ( ~ c1_1(a376)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f826,plain,
    ( ~ spl0_9
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f70,f823,f295]) ).

fof(f70,plain,
    ( ~ c2_1(a376)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f820,plain,
    ( ~ spl0_10
    | spl0_113 ),
    inference(avatar_split_clause,[],[f72,f817,f299]) ).

fof(f299,plain,
    ( spl0_10
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f72,plain,
    ( c2_1(a379)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f815,plain,
    ( ~ spl0_10
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f73,f812,f299]) ).

fof(f73,plain,
    ( ~ c1_1(a379)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f810,plain,
    ( ~ spl0_10
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f74,f807,f299]) ).

fof(f74,plain,
    ( ~ c3_1(a379)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f805,plain,
    ( ~ spl0_13
    | spl0_16 ),
    inference(avatar_split_clause,[],[f75,f327,f313]) ).

fof(f313,plain,
    ( spl0_13
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f75,plain,
    ( ndr1_0
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f804,plain,
    ( ~ spl0_13
    | spl0_110 ),
    inference(avatar_split_clause,[],[f76,f801,f313]) ).

fof(f76,plain,
    ( c0_1(a380)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f799,plain,
    ( ~ spl0_13
    | spl0_109 ),
    inference(avatar_split_clause,[],[f77,f796,f313]) ).

fof(f77,plain,
    ( c1_1(a380)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f794,plain,
    ( ~ spl0_13
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f78,f791,f313]) ).

fof(f78,plain,
    ( ~ c3_1(a380)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f788,plain,
    ( ~ spl0_6
    | spl0_107 ),
    inference(avatar_split_clause,[],[f80,f785,f281]) ).

fof(f281,plain,
    ( spl0_6
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f80,plain,
    ( c3_1(a382)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f783,plain,
    ( ~ spl0_6
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f81,f780,f281]) ).

fof(f81,plain,
    ( ~ c0_1(a382)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f778,plain,
    ( ~ spl0_6
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f82,f775,f281]) ).

fof(f82,plain,
    ( ~ c2_1(a382)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f772,plain,
    ( ~ spl0_31
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f84,f769,f390]) ).

fof(f390,plain,
    ( spl0_31
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f84,plain,
    ( ~ c0_1(a387)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f762,plain,
    ( ~ spl0_31
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f86,f759,f390]) ).

fof(f86,plain,
    ( ~ c2_1(a387)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f756,plain,
    ( ~ spl0_25
    | spl0_101 ),
    inference(avatar_split_clause,[],[f88,f753,f364]) ).

fof(f364,plain,
    ( spl0_25
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f88,plain,
    ( c1_1(a388)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f751,plain,
    ( ~ spl0_25
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f89,f748,f364]) ).

fof(f89,plain,
    ( ~ c2_1(a388)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f746,plain,
    ( ~ spl0_25
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f90,f743,f364]) ).

fof(f90,plain,
    ( ~ c3_1(a388)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f740,plain,
    ( ~ spl0_5
    | spl0_98 ),
    inference(avatar_split_clause,[],[f92,f737,f277]) ).

fof(f277,plain,
    ( spl0_5
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f92,plain,
    ( c1_1(a395)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f735,plain,
    ( ~ spl0_5
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f93,f732,f277]) ).

fof(f93,plain,
    ( ~ c0_1(a395)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f730,plain,
    ( ~ spl0_5
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f94,f727,f277]) ).

fof(f94,plain,
    ( ~ c2_1(a395)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f724,plain,
    ( ~ spl0_23
    | spl0_95 ),
    inference(avatar_split_clause,[],[f96,f721,f356]) ).

fof(f356,plain,
    ( spl0_23
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f96,plain,
    ( c1_1(a397)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f719,plain,
    ( ~ spl0_23
    | spl0_94 ),
    inference(avatar_split_clause,[],[f97,f716,f356]) ).

fof(f97,plain,
    ( c2_1(a397)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f714,plain,
    ( ~ spl0_23
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f98,f711,f356]) ).

fof(f98,plain,
    ( ~ c0_1(a397)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f708,plain,
    ( ~ spl0_38
    | spl0_92 ),
    inference(avatar_split_clause,[],[f100,f705,f421]) ).

fof(f421,plain,
    ( spl0_38
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f100,plain,
    ( c1_1(a398)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f703,plain,
    ( ~ spl0_38
    | spl0_91 ),
    inference(avatar_split_clause,[],[f101,f700,f421]) ).

fof(f101,plain,
    ( c3_1(a398)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f698,plain,
    ( ~ spl0_38
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f102,f695,f421]) ).

fof(f102,plain,
    ( ~ c2_1(a398)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f692,plain,
    ( ~ spl0_3
    | spl0_89 ),
    inference(avatar_split_clause,[],[f104,f689,f268]) ).

fof(f268,plain,
    ( spl0_3
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f104,plain,
    ( c1_1(a399)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f687,plain,
    ( ~ spl0_3
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f105,f684,f268]) ).

fof(f105,plain,
    ( ~ c0_1(a399)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f682,plain,
    ( ~ spl0_3
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f106,f679,f268]) ).

fof(f106,plain,
    ( ~ c3_1(a399)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f660,plain,
    ( ~ spl0_36
    | spl0_83 ),
    inference(avatar_split_clause,[],[f112,f657,f410]) ).

fof(f410,plain,
    ( spl0_36
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f112,plain,
    ( c0_1(a418)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f655,plain,
    ( ~ spl0_36
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f113,f652,f410]) ).

fof(f113,plain,
    ( ~ c2_1(a418)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f650,plain,
    ( ~ spl0_36
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f114,f647,f410]) ).

fof(f114,plain,
    ( ~ c3_1(a418)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f628,plain,
    ( ~ spl0_33
    | spl0_77 ),
    inference(avatar_split_clause,[],[f120,f625,f398]) ).

fof(f398,plain,
    ( spl0_33
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f120,plain,
    ( c1_1(a365)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f623,plain,
    ( ~ spl0_33
    | spl0_76 ),
    inference(avatar_split_clause,[],[f121,f620,f398]) ).

fof(f121,plain,
    ( c2_1(a365)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f618,plain,
    ( ~ spl0_33
    | spl0_75 ),
    inference(avatar_split_clause,[],[f122,f615,f398]) ).

fof(f122,plain,
    ( c3_1(a365)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f612,plain,
    ( ~ spl0_15
    | spl0_74 ),
    inference(avatar_split_clause,[],[f124,f609,f322]) ).

fof(f322,plain,
    ( spl0_15
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f124,plain,
    ( c0_1(a372)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f607,plain,
    ( ~ spl0_15
    | spl0_73 ),
    inference(avatar_split_clause,[],[f125,f604,f322]) ).

fof(f125,plain,
    ( c1_1(a372)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f602,plain,
    ( ~ spl0_15
    | spl0_72 ),
    inference(avatar_split_clause,[],[f126,f599,f322]) ).

fof(f126,plain,
    ( c2_1(a372)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f596,plain,
    ( ~ spl0_22
    | spl0_71 ),
    inference(avatar_split_clause,[],[f128,f593,f352]) ).

fof(f352,plain,
    ( spl0_22
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f128,plain,
    ( c0_1(a373)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f591,plain,
    ( ~ spl0_22
    | spl0_70 ),
    inference(avatar_split_clause,[],[f129,f588,f352]) ).

fof(f129,plain,
    ( c1_1(a373)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f586,plain,
    ( ~ spl0_22
    | spl0_69 ),
    inference(avatar_split_clause,[],[f130,f583,f352]) ).

fof(f130,plain,
    ( c3_1(a373)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f580,plain,
    ( ~ spl0_20
    | spl0_68 ),
    inference(avatar_split_clause,[],[f132,f577,f343]) ).

fof(f343,plain,
    ( spl0_20
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f132,plain,
    ( c0_1(a410)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f575,plain,
    ( ~ spl0_20
    | spl0_67 ),
    inference(avatar_split_clause,[],[f133,f572,f343]) ).

fof(f133,plain,
    ( c2_1(a410)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f570,plain,
    ( ~ spl0_20
    | spl0_66 ),
    inference(avatar_split_clause,[],[f134,f567,f343]) ).

fof(f134,plain,
    ( c3_1(a410)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f565,plain,
    ( spl0_64
    | spl0_62
    | ~ spl0_16
    | spl0_61 ),
    inference(avatar_split_clause,[],[f215,f536,f327,f543,f553]) ).

fof(f215,plain,
    ! [X124,X125,X123] :
      ( ~ c2_1(X123)
      | c1_1(X123)
      | c0_1(X123)
      | ~ ndr1_0
      | c3_1(X124)
      | c1_1(X124)
      | c0_1(X124)
      | c2_1(X125)
      | c1_1(X125)
      | c0_1(X125) ),
    inference(duplicate_literal_removal,[],[f135]) ).

fof(f135,plain,
    ! [X124,X125,X123] :
      ( ~ c2_1(X123)
      | c1_1(X123)
      | c0_1(X123)
      | ~ ndr1_0
      | c3_1(X124)
      | c1_1(X124)
      | c0_1(X124)
      | ~ ndr1_0
      | c2_1(X125)
      | c1_1(X125)
      | c0_1(X125)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f546,plain,
    ( spl0_62
    | spl0_51
    | ~ spl0_16
    | spl0_29 ),
    inference(avatar_split_clause,[],[f222,f383,f327,f483,f543]) ).

fof(f222,plain,
    ! [X106,X107,X105] :
      ( ~ c3_1(X105)
      | ~ c1_1(X105)
      | c2_1(X105)
      | ~ ndr1_0
      | c3_1(X106)
      | c2_1(X106)
      | c1_1(X106)
      | c3_1(X107)
      | c1_1(X107)
      | c0_1(X107) ),
    inference(duplicate_literal_removal,[],[f144]) ).

fof(f144,plain,
    ! [X106,X107,X105] :
      ( ~ c3_1(X105)
      | ~ c1_1(X105)
      | c2_1(X105)
      | ~ ndr1_0
      | c3_1(X106)
      | c2_1(X106)
      | c1_1(X106)
      | ~ ndr1_0
      | c3_1(X107)
      | c1_1(X107)
      | c0_1(X107)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f545,plain,
    ( spl0_62
    | spl0_47
    | ~ spl0_16
    | spl0_32 ),
    inference(avatar_split_clause,[],[f223,f395,f327,f462,f543]) ).

fof(f223,plain,
    ! [X104,X102,X103] :
      ( ~ c1_1(X102)
      | c3_1(X102)
      | c2_1(X102)
      | ~ ndr1_0
      | ~ c0_1(X103)
      | c2_1(X103)
      | c1_1(X103)
      | c3_1(X104)
      | c1_1(X104)
      | c0_1(X104) ),
    inference(duplicate_literal_removal,[],[f145]) ).

fof(f145,plain,
    ! [X104,X102,X103] :
      ( ~ c1_1(X102)
      | c3_1(X102)
      | c2_1(X102)
      | ~ ndr1_0
      | ~ c0_1(X103)
      | c2_1(X103)
      | c1_1(X103)
      | ~ ndr1_0
      | c3_1(X104)
      | c1_1(X104)
      | c0_1(X104)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f534,plain,
    ( spl0_60
    | ~ spl0_16
    | spl0_52
    | spl0_18 ),
    inference(avatar_split_clause,[],[f228,f335,f487,f327,f531]) ).

fof(f228,plain,
    ! [X92,X93] :
      ( hskp10
      | ~ c2_1(X92)
      | c3_1(X92)
      | c0_1(X92)
      | ~ ndr1_0
      | ~ c3_1(X93)
      | c1_1(X93)
      | c0_1(X93) ),
    inference(duplicate_literal_removal,[],[f150]) ).

fof(f150,plain,
    ! [X92,X93] :
      ( hskp10
      | ~ c2_1(X92)
      | c3_1(X92)
      | c0_1(X92)
      | ~ ndr1_0
      | ~ c3_1(X93)
      | c1_1(X93)
      | c0_1(X93)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f529,plain,
    ( spl0_59
    | ~ spl0_16
    | spl0_32
    | spl0_28 ),
    inference(avatar_split_clause,[],[f229,f378,f395,f327,f526]) ).

fof(f229,plain,
    ! [X90,X89] :
      ( hskp12
      | ~ c1_1(X89)
      | c3_1(X89)
      | c2_1(X89)
      | ~ ndr1_0
      | c3_1(X90)
      | c2_1(X90)
      | c0_1(X90) ),
    inference(duplicate_literal_removal,[],[f152]) ).

fof(f152,plain,
    ! [X90,X89] :
      ( hskp12
      | ~ c1_1(X89)
      | c3_1(X89)
      | c2_1(X89)
      | ~ ndr1_0
      | c3_1(X90)
      | c2_1(X90)
      | c0_1(X90)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f528,plain,
    ( spl0_59
    | ~ spl0_16
    | spl0_17
    | spl0_11 ),
    inference(avatar_split_clause,[],[f230,f304,f331,f327,f526]) ).

fof(f230,plain,
    ! [X88,X87] :
      ( hskp13
      | ~ c3_1(X87)
      | ~ c2_1(X87)
      | ~ c1_1(X87)
      | ~ ndr1_0
      | c3_1(X88)
      | c2_1(X88)
      | c0_1(X88) ),
    inference(duplicate_literal_removal,[],[f153]) ).

fof(f153,plain,
    ! [X88,X87] :
      ( hskp13
      | ~ c3_1(X87)
      | ~ c2_1(X87)
      | ~ c1_1(X87)
      | ~ ndr1_0
      | c3_1(X88)
      | c2_1(X88)
      | c0_1(X88)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f523,plain,
    ( spl0_57
    | spl0_56
    | ~ spl0_16
    | spl0_29 ),
    inference(avatar_split_clause,[],[f232,f383,f327,f511,f515]) ).

fof(f232,plain,
    ! [X82,X83,X84] :
      ( ~ c3_1(X82)
      | ~ c1_1(X82)
      | c2_1(X82)
      | ~ ndr1_0
      | ~ c2_1(X83)
      | ~ c1_1(X83)
      | c0_1(X83)
      | ~ c1_1(X84)
      | c2_1(X84)
      | c0_1(X84) ),
    inference(duplicate_literal_removal,[],[f155]) ).

fof(f155,plain,
    ! [X82,X83,X84] :
      ( ~ c3_1(X82)
      | ~ c1_1(X82)
      | c2_1(X82)
      | ~ ndr1_0
      | ~ c2_1(X83)
      | ~ c1_1(X83)
      | c0_1(X83)
      | ~ ndr1_0
      | ~ c1_1(X84)
      | c2_1(X84)
      | c0_1(X84)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f521,plain,
    ( ~ spl0_16
    | spl0_57
    | spl0_14
    | spl0_58 ),
    inference(avatar_split_clause,[],[f157,f518,f317,f515,f327]) ).

fof(f157,plain,
    ! [X80] :
      ( hskp14
      | hskp1
      | ~ c1_1(X80)
      | c2_1(X80)
      | c0_1(X80)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f513,plain,
    ( spl0_54
    | ~ spl0_16
    | spl0_56
    | spl0_9 ),
    inference(avatar_split_clause,[],[f233,f295,f511,f327,f498]) ).

fof(f233,plain,
    ! [X78,X79] :
      ( hskp15
      | ~ c2_1(X78)
      | ~ c1_1(X78)
      | c0_1(X78)
      | ~ ndr1_0
      | ~ c3_1(X79)
      | c2_1(X79)
      | c0_1(X79) ),
    inference(duplicate_literal_removal,[],[f158]) ).

fof(f158,plain,
    ! [X78,X79] :
      ( hskp15
      | ~ c2_1(X78)
      | ~ c1_1(X78)
      | c0_1(X78)
      | ~ ndr1_0
      | ~ c3_1(X79)
      | c2_1(X79)
      | c0_1(X79)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f504,plain,
    ( spl0_54
    | spl0_24
    | ~ spl0_16
    | spl0_21 ),
    inference(avatar_split_clause,[],[f235,f349,f327,f361,f498]) ).

fof(f235,plain,
    ! [X73,X74,X75] :
      ( ~ c3_1(X73)
      | ~ c1_1(X73)
      | ~ c0_1(X73)
      | ~ ndr1_0
      | ~ c2_1(X74)
      | ~ c1_1(X74)
      | ~ c0_1(X74)
      | ~ c3_1(X75)
      | c2_1(X75)
      | c0_1(X75) ),
    inference(duplicate_literal_removal,[],[f160]) ).

fof(f160,plain,
    ! [X73,X74,X75] :
      ( ~ c3_1(X73)
      | ~ c1_1(X73)
      | ~ c0_1(X73)
      | ~ ndr1_0
      | ~ c2_1(X74)
      | ~ c1_1(X74)
      | ~ c0_1(X74)
      | ~ ndr1_0
      | ~ c3_1(X75)
      | c2_1(X75)
      | c0_1(X75)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f502,plain,
    ( spl0_54
    | ~ spl0_16
    | spl0_17
    | spl0_10 ),
    inference(avatar_split_clause,[],[f237,f299,f331,f327,f498]) ).

fof(f237,plain,
    ! [X70,X69] :
      ( hskp16
      | ~ c3_1(X69)
      | ~ c2_1(X69)
      | ~ c1_1(X69)
      | ~ ndr1_0
      | ~ c3_1(X70)
      | c2_1(X70)
      | c0_1(X70) ),
    inference(duplicate_literal_removal,[],[f162]) ).

fof(f162,plain,
    ! [X70,X69] :
      ( hskp16
      | ~ c3_1(X69)
      | ~ c2_1(X69)
      | ~ c1_1(X69)
      | ~ ndr1_0
      | ~ c3_1(X70)
      | c2_1(X70)
      | c0_1(X70)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f501,plain,
    ( ~ spl0_16
    | spl0_54
    | spl0_13 ),
    inference(avatar_split_clause,[],[f163,f313,f498,f327]) ).

fof(f163,plain,
    ! [X68] :
      ( hskp17
      | ~ c3_1(X68)
      | c2_1(X68)
      | c0_1(X68)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f496,plain,
    ( spl0_53
    | ~ spl0_16
    | spl0_47
    | spl0_4 ),
    inference(avatar_split_clause,[],[f238,f272,f462,f327,f492]) ).

fof(f238,plain,
    ! [X65,X66] :
      ( hskp11
      | ~ c0_1(X65)
      | c2_1(X65)
      | c1_1(X65)
      | ~ ndr1_0
      | ~ c1_1(X66)
      | c3_1(X66)
      | c0_1(X66) ),
    inference(duplicate_literal_removal,[],[f165]) ).

fof(f165,plain,
    ! [X65,X66] :
      ( hskp11
      | ~ c0_1(X65)
      | c2_1(X65)
      | c1_1(X65)
      | ~ ndr1_0
      | ~ c1_1(X66)
      | c3_1(X66)
      | c0_1(X66)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f495,plain,
    ( spl0_53
    | ~ spl0_16
    | spl0_43
    | spl0_44 ),
    inference(avatar_split_clause,[],[f239,f445,f442,f327,f492]) ).

fof(f239,plain,
    ! [X63,X64] :
      ( hskp3
      | ~ c0_1(X63)
      | c3_1(X63)
      | c1_1(X63)
      | ~ ndr1_0
      | ~ c1_1(X64)
      | c3_1(X64)
      | c0_1(X64) ),
    inference(duplicate_literal_removal,[],[f166]) ).

fof(f166,plain,
    ! [X63,X64] :
      ( hskp3
      | ~ c0_1(X63)
      | c3_1(X63)
      | c1_1(X63)
      | ~ ndr1_0
      | ~ c1_1(X64)
      | c3_1(X64)
      | c0_1(X64)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f494,plain,
    ( spl0_53
    | ~ spl0_16
    | spl0_40
    | spl0_33 ),
    inference(avatar_split_clause,[],[f240,f398,f430,f327,f492]) ).

fof(f240,plain,
    ! [X62,X61] :
      ( hskp28
      | ~ c2_1(X61)
      | ~ c0_1(X61)
      | c1_1(X61)
      | ~ ndr1_0
      | ~ c1_1(X62)
      | c3_1(X62)
      | c0_1(X62) ),
    inference(duplicate_literal_removal,[],[f167]) ).

fof(f167,plain,
    ! [X62,X61] :
      ( hskp28
      | ~ c2_1(X61)
      | ~ c0_1(X61)
      | c1_1(X61)
      | ~ ndr1_0
      | ~ c1_1(X62)
      | c3_1(X62)
      | c0_1(X62)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f489,plain,
    ( ~ spl0_16
    | spl0_52
    | spl0_33
    | spl0_31 ),
    inference(avatar_split_clause,[],[f169,f390,f398,f487,f327]) ).

fof(f169,plain,
    ! [X57] :
      ( hskp19
      | hskp28
      | ~ c2_1(X57)
      | c3_1(X57)
      | c0_1(X57)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f485,plain,
    ( spl0_50
    | ~ spl0_16
    | spl0_51
    | spl0_25 ),
    inference(avatar_split_clause,[],[f242,f364,f483,f327,f477]) ).

fof(f242,plain,
    ! [X56,X55] :
      ( hskp20
      | c3_1(X55)
      | c2_1(X55)
      | c1_1(X55)
      | ~ ndr1_0
      | ~ c3_1(X56)
      | ~ c1_1(X56)
      | c0_1(X56) ),
    inference(duplicate_literal_removal,[],[f170]) ).

fof(f170,plain,
    ! [X56,X55] :
      ( hskp20
      | c3_1(X55)
      | c2_1(X55)
      | c1_1(X55)
      | ~ ndr1_0
      | ~ c3_1(X56)
      | ~ c1_1(X56)
      | c0_1(X56)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f481,plain,
    ( spl0_50
    | spl0_45
    | ~ spl0_16
    | spl0_26 ),
    inference(avatar_split_clause,[],[f243,f369,f327,f452,f477]) ).

fof(f243,plain,
    ! [X54,X52,X53] :
      ( ~ c2_1(X52)
      | ~ c0_1(X52)
      | c3_1(X52)
      | ~ ndr1_0
      | ~ c3_1(X53)
      | c2_1(X53)
      | c1_1(X53)
      | ~ c3_1(X54)
      | ~ c1_1(X54)
      | c0_1(X54) ),
    inference(duplicate_literal_removal,[],[f171]) ).

fof(f171,plain,
    ! [X54,X52,X53] :
      ( ~ c2_1(X52)
      | ~ c0_1(X52)
      | c3_1(X52)
      | ~ ndr1_0
      | ~ c3_1(X53)
      | c2_1(X53)
      | c1_1(X53)
      | ~ ndr1_0
      | ~ c3_1(X54)
      | ~ c1_1(X54)
      | c0_1(X54)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f480,plain,
    ( spl0_50
    | ~ spl0_16
    | spl0_17
    | spl0_13 ),
    inference(avatar_split_clause,[],[f244,f313,f331,f327,f477]) ).

fof(f244,plain,
    ! [X50,X51] :
      ( hskp17
      | ~ c3_1(X50)
      | ~ c2_1(X50)
      | ~ c1_1(X50)
      | ~ ndr1_0
      | ~ c3_1(X51)
      | ~ c1_1(X51)
      | c0_1(X51) ),
    inference(duplicate_literal_removal,[],[f172]) ).

fof(f172,plain,
    ! [X50,X51] :
      ( hskp17
      | ~ c3_1(X50)
      | ~ c2_1(X50)
      | ~ c1_1(X50)
      | ~ ndr1_0
      | ~ c3_1(X51)
      | ~ c1_1(X51)
      | c0_1(X51)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f475,plain,
    ( spl0_48
    | ~ spl0_16
    | spl0_32
    | spl0_18 ),
    inference(avatar_split_clause,[],[f245,f335,f395,f327,f466]) ).

fof(f245,plain,
    ! [X48,X47] :
      ( hskp10
      | ~ c1_1(X47)
      | c3_1(X47)
      | c2_1(X47)
      | ~ ndr1_0
      | ~ c3_1(X48)
      | ~ c2_1(X48)
      | c0_1(X48) ),
    inference(duplicate_literal_removal,[],[f174]) ).

fof(f174,plain,
    ! [X48,X47] :
      ( hskp10
      | ~ c1_1(X47)
      | c3_1(X47)
      | c2_1(X47)
      | ~ ndr1_0
      | ~ c3_1(X48)
      | ~ c2_1(X48)
      | c0_1(X48)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f474,plain,
    ( spl0_48
    | ~ spl0_16
    | spl0_17
    | spl0_10 ),
    inference(avatar_split_clause,[],[f246,f299,f331,f327,f466]) ).

fof(f246,plain,
    ! [X46,X45] :
      ( hskp16
      | ~ c3_1(X45)
      | ~ c2_1(X45)
      | ~ c1_1(X45)
      | ~ ndr1_0
      | ~ c3_1(X46)
      | ~ c2_1(X46)
      | c0_1(X46) ),
    inference(duplicate_literal_removal,[],[f175]) ).

fof(f175,plain,
    ! [X46,X45] :
      ( hskp16
      | ~ c3_1(X45)
      | ~ c2_1(X45)
      | ~ c1_1(X45)
      | ~ ndr1_0
      | ~ c3_1(X46)
      | ~ c2_1(X46)
      | c0_1(X46)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f473,plain,
    ( ~ spl0_16
    | spl0_48
    | spl0_49 ),
    inference(avatar_split_clause,[],[f176,f470,f466,f327]) ).

fof(f176,plain,
    ! [X44] :
      ( hskp0
      | ~ c3_1(X44)
      | ~ c2_1(X44)
      | c0_1(X44)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f464,plain,
    ( spl0_47
    | ~ spl0_16
    | spl0_17
    | spl0_23 ),
    inference(avatar_split_clause,[],[f247,f356,f331,f327,f462]) ).

fof(f247,plain,
    ! [X41,X42] :
      ( hskp22
      | ~ c3_1(X41)
      | ~ c2_1(X41)
      | ~ c1_1(X41)
      | ~ ndr1_0
      | ~ c0_1(X42)
      | c2_1(X42)
      | c1_1(X42) ),
    inference(duplicate_literal_removal,[],[f178]) ).

fof(f178,plain,
    ! [X41,X42] :
      ( hskp22
      | ~ c3_1(X41)
      | ~ c2_1(X41)
      | ~ c1_1(X41)
      | ~ ndr1_0
      | ~ c0_1(X42)
      | c2_1(X42)
      | c1_1(X42)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f460,plain,
    ( spl0_45
    | ~ spl0_16
    | spl0_39
    | spl0_38 ),
    inference(avatar_split_clause,[],[f248,f421,f426,f327,f452]) ).

fof(f248,plain,
    ! [X40,X39] :
      ( hskp23
      | ~ c3_1(X39)
      | ~ c0_1(X39)
      | c1_1(X39)
      | ~ ndr1_0
      | ~ c3_1(X40)
      | c2_1(X40)
      | c1_1(X40) ),
    inference(duplicate_literal_removal,[],[f179]) ).

fof(f179,plain,
    ! [X40,X39] :
      ( hskp23
      | ~ c3_1(X39)
      | ~ c0_1(X39)
      | c1_1(X39)
      | ~ ndr1_0
      | ~ c3_1(X40)
      | c2_1(X40)
      | c1_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f459,plain,
    ( ~ spl0_16
    | spl0_45
    | spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f180,f263,f268,f452,f327]) ).

fof(f180,plain,
    ! [X38] :
      ( hskp6
      | hskp24
      | ~ c3_1(X38)
      | c2_1(X38)
      | c1_1(X38)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f458,plain,
    ( ~ spl0_16
    | spl0_45
    | spl0_46
    | spl0_31 ),
    inference(avatar_split_clause,[],[f181,f390,f455,f452,f327]) ).

fof(f181,plain,
    ! [X37] :
      ( hskp19
      | hskp9
      | ~ c3_1(X37)
      | c2_1(X37)
      | c1_1(X37)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f450,plain,
    ( spl0_43
    | ~ spl0_16
    | spl0_42
    | spl0_10 ),
    inference(avatar_split_clause,[],[f249,f299,f438,f327,f442]) ).

fof(f249,plain,
    ! [X36,X35] :
      ( hskp16
      | ~ c2_1(X35)
      | ~ c1_1(X35)
      | c3_1(X35)
      | ~ ndr1_0
      | ~ c0_1(X36)
      | c3_1(X36)
      | c1_1(X36) ),
    inference(duplicate_literal_removal,[],[f182]) ).

fof(f182,plain,
    ! [X36,X35] :
      ( hskp16
      | ~ c2_1(X35)
      | ~ c1_1(X35)
      | c3_1(X35)
      | ~ ndr1_0
      | ~ c0_1(X36)
      | c3_1(X36)
      | c1_1(X36)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f449,plain,
    ( ~ spl0_16
    | spl0_43
    | spl0_15
    | spl0_8 ),
    inference(avatar_split_clause,[],[f183,f290,f322,f442,f327]) ).

fof(f183,plain,
    ! [X34] :
      ( hskp8
      | hskp29
      | ~ c0_1(X34)
      | c3_1(X34)
      | c1_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f448,plain,
    ( ~ spl0_16
    | spl0_43
    | spl0_44
    | spl0_31 ),
    inference(avatar_split_clause,[],[f184,f390,f445,f442,f327]) ).

fof(f184,plain,
    ! [X33] :
      ( hskp19
      | hskp3
      | ~ c0_1(X33)
      | c3_1(X33)
      | c1_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f440,plain,
    ( spl0_41
    | spl0_37
    | ~ spl0_16
    | spl0_42 ),
    inference(avatar_split_clause,[],[f250,f438,f327,f417,f434]) ).

fof(f250,plain,
    ! [X31,X32,X30] :
      ( ~ c2_1(X30)
      | ~ c1_1(X30)
      | c3_1(X30)
      | ~ ndr1_0
      | ~ c3_1(X31)
      | ~ c2_1(X31)
      | c1_1(X31)
      | ~ c2_1(X32)
      | c3_1(X32)
      | c1_1(X32) ),
    inference(duplicate_literal_removal,[],[f185]) ).

fof(f185,plain,
    ! [X31,X32,X30] :
      ( ~ c2_1(X30)
      | ~ c1_1(X30)
      | c3_1(X30)
      | ~ ndr1_0
      | ~ c3_1(X31)
      | ~ c2_1(X31)
      | c1_1(X31)
      | ~ ndr1_0
      | ~ c2_1(X32)
      | c3_1(X32)
      | c1_1(X32)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f436,plain,
    ( spl0_41
    | spl0_21
    | ~ spl0_16
    | spl0_19 ),
    inference(avatar_split_clause,[],[f251,f340,f327,f349,f434]) ).

fof(f251,plain,
    ! [X28,X29,X27] :
      ( ~ c3_1(X27)
      | ~ c2_1(X27)
      | ~ c0_1(X27)
      | ~ ndr1_0
      | ~ c3_1(X28)
      | ~ c1_1(X28)
      | ~ c0_1(X28)
      | ~ c2_1(X29)
      | c3_1(X29)
      | c1_1(X29) ),
    inference(duplicate_literal_removal,[],[f186]) ).

fof(f186,plain,
    ! [X28,X29,X27] :
      ( ~ c3_1(X27)
      | ~ c2_1(X27)
      | ~ c0_1(X27)
      | ~ ndr1_0
      | ~ c3_1(X28)
      | ~ c1_1(X28)
      | ~ c0_1(X28)
      | ~ ndr1_0
      | ~ c2_1(X29)
      | c3_1(X29)
      | c1_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f428,plain,
    ( spl0_39
    | ~ spl0_16
    | spl0_35
    | spl0_20 ),
    inference(avatar_split_clause,[],[f252,f343,f407,f327,f426]) ).

fof(f252,plain,
    ! [X24,X25] :
      ( hskp31
      | ~ c0_1(X24)
      | c3_1(X24)
      | c2_1(X24)
      | ~ ndr1_0
      | ~ c3_1(X25)
      | ~ c0_1(X25)
      | c1_1(X25) ),
    inference(duplicate_literal_removal,[],[f188]) ).

fof(f188,plain,
    ! [X24,X25] :
      ( hskp31
      | ~ c0_1(X24)
      | c3_1(X24)
      | c2_1(X24)
      | ~ ndr1_0
      | ~ c3_1(X25)
      | ~ c0_1(X25)
      | c1_1(X25)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f424,plain,
    ( ~ spl0_16
    | spl0_37
    | spl0_22
    | spl0_38 ),
    inference(avatar_split_clause,[],[f189,f421,f352,f417,f327]) ).

fof(f189,plain,
    ! [X23] :
      ( hskp23
      | hskp30
      | ~ c3_1(X23)
      | ~ c2_1(X23)
      | c1_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f419,plain,
    ( ~ spl0_16
    | spl0_37
    | spl0_3
    | spl0_31 ),
    inference(avatar_split_clause,[],[f190,f390,f268,f417,f327]) ).

fof(f190,plain,
    ! [X22] :
      ( hskp19
      | hskp24
      | ~ c3_1(X22)
      | ~ c2_1(X22)
      | c1_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f415,plain,
    ( spl0_35
    | ~ spl0_16
    | spl0_26
    | spl0_20 ),
    inference(avatar_split_clause,[],[f253,f343,f369,f327,f407]) ).

fof(f253,plain,
    ! [X21,X20] :
      ( hskp31
      | ~ c2_1(X20)
      | ~ c0_1(X20)
      | c3_1(X20)
      | ~ ndr1_0
      | ~ c0_1(X21)
      | c3_1(X21)
      | c2_1(X21) ),
    inference(duplicate_literal_removal,[],[f191]) ).

fof(f191,plain,
    ! [X21,X20] :
      ( hskp31
      | ~ c2_1(X20)
      | ~ c0_1(X20)
      | c3_1(X20)
      | ~ ndr1_0
      | ~ c0_1(X21)
      | c3_1(X21)
      | c2_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f413,plain,
    ( ~ spl0_16
    | spl0_35
    | spl0_36 ),
    inference(avatar_split_clause,[],[f193,f410,f407,f327]) ).

fof(f193,plain,
    ! [X18] :
      ( hskp26
      | ~ c0_1(X18)
      | c3_1(X18)
      | c2_1(X18)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f405,plain,
    ( spl0_32
    | spl0_34
    | ~ spl0_16
    | spl0_29 ),
    inference(avatar_split_clause,[],[f254,f383,f327,f403,f395]) ).

fof(f254,plain,
    ! [X16,X17,X15] :
      ( ~ c3_1(X15)
      | ~ c1_1(X15)
      | c2_1(X15)
      | ~ ndr1_0
      | ~ c1_1(X16)
      | ~ c0_1(X16)
      | c2_1(X16)
      | ~ c1_1(X17)
      | c3_1(X17)
      | c2_1(X17) ),
    inference(duplicate_literal_removal,[],[f194]) ).

fof(f194,plain,
    ! [X16,X17,X15] :
      ( ~ c3_1(X15)
      | ~ c1_1(X15)
      | c2_1(X15)
      | ~ ndr1_0
      | ~ c1_1(X16)
      | ~ c0_1(X16)
      | c2_1(X16)
      | ~ ndr1_0
      | ~ c1_1(X17)
      | c3_1(X17)
      | c2_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f401,plain,
    ( spl0_32
    | ~ spl0_16
    | spl0_19
    | spl0_33 ),
    inference(avatar_split_clause,[],[f255,f398,f340,f327,f395]) ).

fof(f255,plain,
    ! [X14,X13] :
      ( hskp28
      | ~ c3_1(X13)
      | ~ c2_1(X13)
      | ~ c0_1(X13)
      | ~ ndr1_0
      | ~ c1_1(X14)
      | c3_1(X14)
      | c2_1(X14) ),
    inference(duplicate_literal_removal,[],[f195]) ).

fof(f195,plain,
    ! [X14,X13] :
      ( hskp28
      | ~ c3_1(X13)
      | ~ c2_1(X13)
      | ~ c0_1(X13)
      | ~ ndr1_0
      | ~ c1_1(X14)
      | c3_1(X14)
      | c2_1(X14)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f393,plain,
    ( ~ spl0_16
    | spl0_29
    | spl0_30
    | spl0_31 ),
    inference(avatar_split_clause,[],[f196,f390,f386,f383,f327]) ).

fof(f196,plain,
    ! [X12] :
      ( hskp19
      | hskp2
      | ~ c3_1(X12)
      | ~ c1_1(X12)
      | c2_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f381,plain,
    ( ~ spl0_16
    | spl0_27
    | spl0_15
    | spl0_28 ),
    inference(avatar_split_clause,[],[f197,f378,f322,f374,f327]) ).

fof(f197,plain,
    ! [X11] :
      ( hskp12
      | hskp29
      | ~ c1_1(X11)
      | ~ c0_1(X11)
      | c3_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f376,plain,
    ( ~ spl0_16
    | spl0_27
    | spl0_13
    | spl0_10 ),
    inference(avatar_split_clause,[],[f198,f299,f313,f374,f327]) ).

fof(f198,plain,
    ! [X10] :
      ( hskp16
      | hskp17
      | ~ c1_1(X10)
      | ~ c0_1(X10)
      | c3_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f372,plain,
    ( spl0_26
    | ~ spl0_16
    | spl0_19
    | spl0_10 ),
    inference(avatar_split_clause,[],[f256,f299,f340,f327,f369]) ).

fof(f256,plain,
    ! [X8,X9] :
      ( hskp16
      | ~ c3_1(X8)
      | ~ c2_1(X8)
      | ~ c0_1(X8)
      | ~ ndr1_0
      | ~ c2_1(X9)
      | ~ c0_1(X9)
      | c3_1(X9) ),
    inference(duplicate_literal_removal,[],[f199]) ).

fof(f199,plain,
    ! [X8,X9] :
      ( hskp16
      | ~ c3_1(X8)
      | ~ c2_1(X8)
      | ~ c0_1(X8)
      | ~ ndr1_0
      | ~ c2_1(X9)
      | ~ c0_1(X9)
      | c3_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f371,plain,
    ( spl0_26
    | ~ spl0_16
    | spl0_17
    | spl0_2 ),
    inference(avatar_split_clause,[],[f257,f263,f331,f327,f369]) ).

fof(f257,plain,
    ! [X6,X7] :
      ( hskp6
      | ~ c3_1(X6)
      | ~ c2_1(X6)
      | ~ c1_1(X6)
      | ~ ndr1_0
      | ~ c2_1(X7)
      | ~ c0_1(X7)
      | c3_1(X7) ),
    inference(duplicate_literal_removal,[],[f200]) ).

fof(f200,plain,
    ! [X6,X7] :
      ( hskp6
      | ~ c3_1(X6)
      | ~ c2_1(X6)
      | ~ c1_1(X6)
      | ~ ndr1_0
      | ~ c2_1(X7)
      | ~ c0_1(X7)
      | c3_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f367,plain,
    ( ~ spl0_16
    | spl0_24
    | spl0_23
    | spl0_25 ),
    inference(avatar_split_clause,[],[f201,f364,f356,f361,f327]) ).

fof(f201,plain,
    ! [X5] :
      ( hskp20
      | hskp22
      | ~ c2_1(X5)
      | ~ c1_1(X5)
      | ~ c0_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f347,plain,
    ( ~ spl0_16
    | spl0_19
    | spl0_15
    | spl0_18 ),
    inference(avatar_split_clause,[],[f203,f335,f322,f340,f327]) ).

fof(f203,plain,
    ! [X3] :
      ( hskp10
      | hskp29
      | ~ c3_1(X3)
      | ~ c2_1(X3)
      | ~ c0_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f338,plain,
    ( ~ spl0_16
    | spl0_17
    | spl0_3
    | spl0_18 ),
    inference(avatar_split_clause,[],[f205,f335,f268,f331,f327]) ).

fof(f205,plain,
    ! [X1] :
      ( hskp10
      | hskp24
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f333,plain,
    ( ~ spl0_16
    | spl0_17
    | spl0_4 ),
    inference(avatar_split_clause,[],[f206,f272,f331,f327]) ).

fof(f206,plain,
    ! [X0] :
      ( hskp11
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f325,plain,
    ( spl0_15
    | spl0_11
    | spl0_9 ),
    inference(avatar_split_clause,[],[f207,f295,f304,f322]) ).

fof(f207,plain,
    ( hskp15
    | hskp13
    | hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f320,plain,
    ( spl0_13
    | spl0_14
    | spl0_4 ),
    inference(avatar_split_clause,[],[f208,f272,f317,f313]) ).

fof(f208,plain,
    ( hskp11
    | hskp1
    | hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f302,plain,
    ( spl0_9
    | spl0_4
    | spl0_10 ),
    inference(avatar_split_clause,[],[f210,f299,f272,f295]) ).

fof(f210,plain,
    ( hskp16
    | hskp11
    | hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f284,plain,
    ( spl0_5
    | spl0_6
    | spl0_2 ),
    inference(avatar_split_clause,[],[f212,f263,f281,f277]) ).

fof(f212,plain,
    ( hskp6
    | hskp18
    | hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f266,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f214,f263,f259]) ).

fof(f214,plain,
    ( hskp6
    | hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN504+1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n012.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 01:44:57 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (22441)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (22442)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  % (22443)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (22445)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38  % (22446)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38  % (22444)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.38  % (22448)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  % (22447)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.39  Detected minimum model sizes of [1]
% 0.14/0.39  Detected maximum model sizes of [32]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  Detected minimum model sizes of [1]
% 0.14/0.39  Detected maximum model sizes of [32]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  Detected minimum model sizes of [1]
% 0.14/0.39  Detected maximum model sizes of [32]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [2]
% 0.14/0.40  Detected minimum model sizes of [1]
% 0.14/0.40  Detected maximum model sizes of [32]
% 0.14/0.40  TRYING [1]
% 0.14/0.40  TRYING [3]
% 0.14/0.40  TRYING [2]
% 0.14/0.40  TRYING [4]
% 0.14/0.40  TRYING [4]
% 0.14/0.40  TRYING [3]
% 0.14/0.40  TRYING [4]
% 0.22/0.41  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]
% 0.22/0.45  TRYING [6]
% 0.22/0.46  % (22447)First to succeed.
% 0.22/0.47  TRYING [6]
% 0.22/0.48  TRYING [6]
% 0.22/0.48  TRYING [6]
% 0.22/0.49  % (22444)Also succeeded, but the first one will report.
% 0.22/0.49  % (22447)Refutation found. Thanks to Tanya!
% 0.22/0.49  % SZS status Theorem for theBenchmark
% 0.22/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.50  % (22447)------------------------------
% 0.22/0.50  % (22447)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.50  % (22447)Termination reason: Refutation
% 0.22/0.50  
% 0.22/0.50  % (22447)Memory used [KB]: 2481
% 0.22/0.50  % (22447)Time elapsed: 0.106 s
% 0.22/0.50  % (22447)Instructions burned: 147 (million)
% 0.22/0.50  % (22447)------------------------------
% 0.22/0.50  % (22447)------------------------------
% 0.22/0.50  % (22441)Success in time 0.134 s
%------------------------------------------------------------------------------