TSTP Solution File: SYN479+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN479+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 : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 12:10:49 EDT 2024

% Result   : Theorem 0.21s 0.45s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  166
% Syntax   : Number of formulae    : 1071 (   1 unt;   0 def)
%            Number of atoms       : 8438 (   0 equ)
%            Maximal formula atoms :  745 (   7 avg)
%            Number of connectives : 11462 (4095   ~;5524   |;1194   &)
%                                         ( 165 <=>; 484  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  113 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  202 ( 201 usr; 198 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   : 1011 (1011   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4368,plain,
    $false,
    inference(avatar_sat_refutation,[],[f264,f273,f300,f313,f326,f335,f336,f344,f348,f360,f368,f376,f384,f385,f397,f398,f406,f415,f416,f420,f425,f434,f435,f443,f447,f451,f455,f460,f461,f462,f468,f469,f473,f478,f482,f486,f487,f488,f492,f497,f498,f499,f503,f508,f512,f513,f514,f515,f519,f523,f524,f525,f530,f531,f532,f536,f537,f538,f539,f556,f561,f566,f567,f572,f577,f582,f588,f593,f598,f604,f609,f614,f620,f625,f630,f636,f641,f646,f652,f657,f662,f668,f673,f678,f684,f689,f694,f700,f705,f710,f716,f721,f726,f732,f742,f748,f753,f758,f764,f769,f774,f780,f785,f790,f796,f801,f806,f812,f817,f822,f828,f833,f838,f844,f849,f854,f860,f865,f870,f876,f881,f886,f892,f897,f902,f908,f913,f918,f919,f924,f929,f934,f940,f945,f950,f956,f961,f966,f972,f977,f982,f988,f993,f998,f999,f1004,f1009,f1014,f1036,f1041,f1046,f1053,f1058,f1062,f1068,f1072,f1086,f1111,f1139,f1148,f1206,f1212,f1265,f1292,f1294,f1306,f1346,f1348,f1365,f1376,f1404,f1416,f1469,f1508,f1547,f1615,f1621,f1720,f1824,f2037,f2068,f2074,f2081,f2124,f2184,f2207,f2208,f2253,f2310,f2367,f2401,f2428,f2472,f2494,f2529,f2532,f2535,f2611,f2613,f2650,f2668,f2670,f2674,f2711,f2739,f2883,f2889,f2891,f2937,f2955,f2965,f2972,f2973,f2975,f2983,f3004,f3006,f3023,f3034,f3101,f3109,f3138,f3203,f3207,f3276,f3305,f3354,f3380,f3398,f3429,f3430,f3445,f3458,f3505,f3509,f3530,f3532,f3600,f3604,f3605,f3611,f3672,f3674,f3676,f3683,f3707,f3725,f3743,f3776,f3779,f3840,f3905,f3920,f3942,f3949,f4026,f4028,f4030,f4032,f4034,f4089,f4133,f4153,f4163,f4179,f4183,f4189,f4193,f4195,f4215,f4220,f4275,f4294,f4307,f4366]) ).

fof(f4366,plain,
    ( ~ spl0_50
    | spl0_128
    | spl0_129
    | spl0_130 ),
    inference(avatar_contradiction_clause,[],[f4365]) ).

fof(f4365,plain,
    ( $false
    | ~ spl0_50
    | spl0_128
    | spl0_129
    | spl0_130 ),
    inference(subsumption_resolution,[],[f4364,f896]) ).

fof(f896,plain,
    ( ~ c2_1(a1444)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f894,plain,
    ( spl0_129
  <=> c2_1(a1444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f4364,plain,
    ( c2_1(a1444)
    | ~ spl0_50
    | spl0_128
    | spl0_130 ),
    inference(subsumption_resolution,[],[f4352,f891]) ).

fof(f891,plain,
    ( ~ c3_1(a1444)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f889]) ).

fof(f889,plain,
    ( spl0_128
  <=> c3_1(a1444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f4352,plain,
    ( c3_1(a1444)
    | c2_1(a1444)
    | ~ spl0_50
    | spl0_130 ),
    inference(resolution,[],[f472,f901]) ).

fof(f901,plain,
    ( ~ c1_1(a1444)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f899]) ).

fof(f899,plain,
    ( spl0_130
  <=> c1_1(a1444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f472,plain,
    ( ! [X49] :
        ( c1_1(X49)
        | c3_1(X49)
        | c2_1(X49) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f471,plain,
    ( spl0_50
  <=> ! [X49] :
        ( c3_1(X49)
        | c1_1(X49)
        | c2_1(X49) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f4307,plain,
    ( ~ spl0_182
    | ~ spl0_32
    | ~ spl0_39
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f4305,f659,f418,f387,f3946]) ).

fof(f3946,plain,
    ( spl0_182
  <=> c0_1(a1487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f387,plain,
    ( spl0_32
  <=> ! [X8] :
        ( ~ c3_1(X8)
        | c2_1(X8)
        | ~ c0_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f418,plain,
    ( spl0_39
  <=> ! [X17] :
        ( ~ c3_1(X17)
        | ~ c0_1(X17)
        | ~ c2_1(X17) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f659,plain,
    ( spl0_85
  <=> c3_1(a1487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f4305,plain,
    ( ~ c0_1(a1487)
    | ~ spl0_32
    | ~ spl0_39
    | ~ spl0_85 ),
    inference(resolution,[],[f4295,f661]) ).

fof(f661,plain,
    ( c3_1(a1487)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f659]) ).

fof(f4295,plain,
    ( ! [X17] :
        ( ~ c3_1(X17)
        | ~ c0_1(X17) )
    | ~ spl0_32
    | ~ spl0_39 ),
    inference(subsumption_resolution,[],[f419,f388]) ).

fof(f388,plain,
    ( ! [X8] :
        ( ~ c0_1(X8)
        | c2_1(X8)
        | ~ c3_1(X8) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f419,plain,
    ( ! [X17] :
        ( ~ c0_1(X17)
        | ~ c3_1(X17)
        | ~ c2_1(X17) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f4294,plain,
    ( ~ spl0_71
    | spl0_172
    | ~ spl0_32
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f4287,f595,f387,f2409,f585]) ).

fof(f585,plain,
    ( spl0_71
  <=> c3_1(a1456) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f2409,plain,
    ( spl0_172
  <=> c2_1(a1456) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f595,plain,
    ( spl0_73
  <=> c0_1(a1456) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f4287,plain,
    ( c2_1(a1456)
    | ~ c3_1(a1456)
    | ~ spl0_32
    | ~ spl0_73 ),
    inference(resolution,[],[f388,f597]) ).

fof(f597,plain,
    ( c0_1(a1456)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f4275,plain,
    ( ~ spl0_164
    | ~ spl0_21
    | ~ spl0_26
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f4263,f627,f362,f342,f1491]) ).

fof(f1491,plain,
    ( spl0_164
  <=> c1_1(a1517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f342,plain,
    ( spl0_21
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f362,plain,
    ( spl0_26
  <=> ! [X4] :
        ( ~ c2_1(X4)
        | c3_1(X4)
        | ~ c1_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f627,plain,
    ( spl0_79
  <=> c2_1(a1517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f4263,plain,
    ( ~ c1_1(a1517)
    | ~ spl0_21
    | ~ spl0_26
    | ~ spl0_79 ),
    inference(resolution,[],[f4253,f629]) ).

fof(f629,plain,
    ( c2_1(a1517)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f627]) ).

fof(f4253,plain,
    ( ! [X4] :
        ( ~ c2_1(X4)
        | ~ c1_1(X4) )
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f363,f343]) ).

fof(f343,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f363,plain,
    ( ! [X4] :
        ( ~ c1_1(X4)
        | c3_1(X4)
        | ~ c2_1(X4) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f4220,plain,
    ( ~ spl0_41
    | ~ spl0_47
    | spl0_86
    | ~ spl0_166 ),
    inference(avatar_contradiction_clause,[],[f4219]) ).

fof(f4219,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_47
    | spl0_86
    | ~ spl0_166 ),
    inference(subsumption_resolution,[],[f4212,f1528]) ).

fof(f1528,plain,
    ( c3_1(a1477)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1526]) ).

fof(f1526,plain,
    ( spl0_166
  <=> c3_1(a1477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f4212,plain,
    ( ~ c3_1(a1477)
    | ~ spl0_41
    | ~ spl0_47
    | spl0_86 ),
    inference(resolution,[],[f4197,f667]) ).

fof(f667,plain,
    ( ~ c1_1(a1477)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f665,plain,
    ( spl0_86
  <=> c1_1(a1477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f4197,plain,
    ( ! [X21] :
        ( c1_1(X21)
        | ~ c3_1(X21) )
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(subsumption_resolution,[],[f428,f454]) ).

fof(f454,plain,
    ( ! [X31] :
        ( ~ c3_1(X31)
        | c1_1(X31)
        | c2_1(X31) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f453,plain,
    ( spl0_47
  <=> ! [X31] :
        ( ~ c3_1(X31)
        | c1_1(X31)
        | c2_1(X31) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f428,plain,
    ( ! [X21] :
        ( c1_1(X21)
        | ~ c3_1(X21)
        | ~ c2_1(X21) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f427,plain,
    ( spl0_41
  <=> ! [X21] :
        ( ~ c3_1(X21)
        | c1_1(X21)
        | ~ c2_1(X21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f4215,plain,
    ( ~ spl0_41
    | ~ spl0_47
    | spl0_134
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f4214]) ).

fof(f4214,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_47
    | spl0_134
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f4207,f933]) ).

fof(f933,plain,
    ( c3_1(a1438)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f931]) ).

fof(f931,plain,
    ( spl0_136
  <=> c3_1(a1438) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f4207,plain,
    ( ~ c3_1(a1438)
    | ~ spl0_41
    | ~ spl0_47
    | spl0_134 ),
    inference(resolution,[],[f4197,f923]) ).

fof(f923,plain,
    ( ~ c1_1(a1438)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f921]) ).

fof(f921,plain,
    ( spl0_134
  <=> c1_1(a1438) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f4195,plain,
    ( spl0_116
    | spl0_169
    | ~ spl0_56
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f3992,f830,f501,f2071,f825]) ).

fof(f825,plain,
    ( spl0_116
  <=> c3_1(a1449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f2071,plain,
    ( spl0_169
  <=> c0_1(a1449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f501,plain,
    ( spl0_56
  <=> ! [X72] :
        ( ~ c2_1(X72)
        | c0_1(X72)
        | c3_1(X72) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f830,plain,
    ( spl0_117
  <=> c2_1(a1449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f3992,plain,
    ( c0_1(a1449)
    | c3_1(a1449)
    | ~ spl0_56
    | ~ spl0_117 ),
    inference(resolution,[],[f502,f832]) ).

fof(f832,plain,
    ( c2_1(a1449)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f830]) ).

fof(f502,plain,
    ( ! [X72] :
        ( ~ c2_1(X72)
        | c0_1(X72)
        | c3_1(X72) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f4193,plain,
    ( spl0_163
    | spl0_80
    | ~ spl0_56
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f3998,f638,f501,f633,f1442]) ).

fof(f1442,plain,
    ( spl0_163
  <=> c3_1(a1504) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f633,plain,
    ( spl0_80
  <=> c0_1(a1504) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f638,plain,
    ( spl0_81
  <=> c2_1(a1504) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f3998,plain,
    ( c0_1(a1504)
    | c3_1(a1504)
    | ~ spl0_56
    | ~ spl0_81 ),
    inference(resolution,[],[f502,f640]) ).

fof(f640,plain,
    ( c2_1(a1504)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f4189,plain,
    ( ~ spl0_62
    | spl0_86
    | spl0_87
    | ~ spl0_88 ),
    inference(avatar_contradiction_clause,[],[f4188]) ).

fof(f4188,plain,
    ( $false
    | ~ spl0_62
    | spl0_86
    | spl0_87
    | ~ spl0_88 ),
    inference(subsumption_resolution,[],[f4187,f677]) ).

fof(f677,plain,
    ( c2_1(a1477)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f675,plain,
    ( spl0_88
  <=> c2_1(a1477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f4187,plain,
    ( ~ c2_1(a1477)
    | ~ spl0_62
    | spl0_86
    | spl0_87 ),
    inference(subsumption_resolution,[],[f4175,f672]) ).

fof(f672,plain,
    ( ~ c0_1(a1477)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f670,plain,
    ( spl0_87
  <=> c0_1(a1477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f4175,plain,
    ( c0_1(a1477)
    | ~ c2_1(a1477)
    | ~ spl0_62
    | spl0_86 ),
    inference(resolution,[],[f535,f667]) ).

fof(f535,plain,
    ( ! [X99] :
        ( c1_1(X99)
        | c0_1(X99)
        | ~ c2_1(X99) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f534,plain,
    ( spl0_62
  <=> ! [X99] :
        ( ~ c2_1(X99)
        | c0_1(X99)
        | c1_1(X99) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f4183,plain,
    ( ~ spl0_62
    | spl0_95
    | ~ spl0_97
    | spl0_171 ),
    inference(avatar_contradiction_clause,[],[f4182]) ).

fof(f4182,plain,
    ( $false
    | ~ spl0_62
    | spl0_95
    | ~ spl0_97
    | spl0_171 ),
    inference(subsumption_resolution,[],[f4181,f725]) ).

fof(f725,plain,
    ( c2_1(a1465)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f723]) ).

fof(f723,plain,
    ( spl0_97
  <=> c2_1(a1465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f4181,plain,
    ( ~ c2_1(a1465)
    | ~ spl0_62
    | spl0_95
    | spl0_171 ),
    inference(subsumption_resolution,[],[f4172,f2223]) ).

fof(f2223,plain,
    ( ~ c0_1(a1465)
    | spl0_171 ),
    inference(avatar_component_clause,[],[f2222]) ).

fof(f2222,plain,
    ( spl0_171
  <=> c0_1(a1465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f4172,plain,
    ( c0_1(a1465)
    | ~ c2_1(a1465)
    | ~ spl0_62
    | spl0_95 ),
    inference(resolution,[],[f535,f715]) ).

fof(f715,plain,
    ( ~ c1_1(a1465)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f713,plain,
    ( spl0_95
  <=> c1_1(a1465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f4179,plain,
    ( ~ spl0_62
    | spl0_134
    | spl0_135
    | ~ spl0_173 ),
    inference(avatar_contradiction_clause,[],[f4178]) ).

fof(f4178,plain,
    ( $false
    | ~ spl0_62
    | spl0_134
    | spl0_135
    | ~ spl0_173 ),
    inference(subsumption_resolution,[],[f4177,f2771]) ).

fof(f2771,plain,
    ( c2_1(a1438)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f2769]) ).

fof(f2769,plain,
    ( spl0_173
  <=> c2_1(a1438) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f4177,plain,
    ( ~ c2_1(a1438)
    | ~ spl0_62
    | spl0_134
    | spl0_135 ),
    inference(subsumption_resolution,[],[f4166,f928]) ).

fof(f928,plain,
    ( ~ c0_1(a1438)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f926]) ).

fof(f926,plain,
    ( spl0_135
  <=> c0_1(a1438) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f4166,plain,
    ( c0_1(a1438)
    | ~ c2_1(a1438)
    | ~ spl0_62
    | spl0_134 ),
    inference(resolution,[],[f535,f923]) ).

fof(f4163,plain,
    ( ~ spl0_54
    | spl0_101
    | ~ spl0_102
    | ~ spl0_103 ),
    inference(avatar_contradiction_clause,[],[f4162]) ).

fof(f4162,plain,
    ( $false
    | ~ spl0_54
    | spl0_101
    | ~ spl0_102
    | ~ spl0_103 ),
    inference(subsumption_resolution,[],[f4161,f752]) ).

fof(f752,plain,
    ( c1_1(a1458)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f750]) ).

fof(f750,plain,
    ( spl0_102
  <=> c1_1(a1458) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f4161,plain,
    ( ~ c1_1(a1458)
    | ~ spl0_54
    | spl0_101
    | ~ spl0_103 ),
    inference(subsumption_resolution,[],[f4145,f747]) ).

fof(f747,plain,
    ( ~ c2_1(a1458)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f745]) ).

fof(f745,plain,
    ( spl0_101
  <=> c2_1(a1458) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f4145,plain,
    ( c2_1(a1458)
    | ~ c1_1(a1458)
    | ~ spl0_54
    | ~ spl0_103 ),
    inference(resolution,[],[f491,f757]) ).

fof(f757,plain,
    ( c0_1(a1458)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f755]) ).

fof(f755,plain,
    ( spl0_103
  <=> c0_1(a1458) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f491,plain,
    ( ! [X61] :
        ( ~ c0_1(X61)
        | c2_1(X61)
        | ~ c1_1(X61) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f490,plain,
    ( spl0_54
  <=> ! [X61] :
        ( ~ c1_1(X61)
        | c2_1(X61)
        | ~ c0_1(X61) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f4153,plain,
    ( ~ spl0_168
    | ~ spl0_54
    | spl0_141
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f4152,f963,f958,f490,f2039]) ).

fof(f2039,plain,
    ( spl0_168
  <=> c1_1(a1435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f958,plain,
    ( spl0_141
  <=> c2_1(a1435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f963,plain,
    ( spl0_142
  <=> c0_1(a1435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f4152,plain,
    ( ~ c1_1(a1435)
    | ~ spl0_54
    | spl0_141
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f4139,f960]) ).

fof(f960,plain,
    ( ~ c2_1(a1435)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f958]) ).

fof(f4139,plain,
    ( c2_1(a1435)
    | ~ c1_1(a1435)
    | ~ spl0_54
    | ~ spl0_142 ),
    inference(resolution,[],[f491,f965]) ).

fof(f965,plain,
    ( c0_1(a1435)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f963]) ).

fof(f4133,plain,
    ( ~ spl0_26
    | ~ spl0_46
    | spl0_155
    | ~ spl0_156 ),
    inference(avatar_contradiction_clause,[],[f4132]) ).

fof(f4132,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_46
    | spl0_155
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f4119,f1040]) ).

fof(f1040,plain,
    ( c2_1(a1427)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1038]) ).

fof(f1038,plain,
    ( spl0_156
  <=> c2_1(a1427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f4119,plain,
    ( ~ c2_1(a1427)
    | ~ spl0_26
    | ~ spl0_46
    | spl0_155 ),
    inference(resolution,[],[f4112,f1035]) ).

fof(f1035,plain,
    ( ~ c3_1(a1427)
    | spl0_155 ),
    inference(avatar_component_clause,[],[f1033]) ).

fof(f1033,plain,
    ( spl0_155
  <=> c3_1(a1427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f4112,plain,
    ( ! [X4] :
        ( c3_1(X4)
        | ~ c2_1(X4) )
    | ~ spl0_26
    | ~ spl0_46 ),
    inference(subsumption_resolution,[],[f363,f450]) ).

fof(f450,plain,
    ( ! [X30] :
        ( ~ c2_1(X30)
        | c1_1(X30)
        | c3_1(X30) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f449,plain,
    ( spl0_46
  <=> ! [X30] :
        ( ~ c2_1(X30)
        | c1_1(X30)
        | c3_1(X30) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f4089,plain,
    ( ~ spl0_53
    | spl0_80
    | ~ spl0_82
    | ~ spl0_163 ),
    inference(avatar_contradiction_clause,[],[f4088]) ).

fof(f4088,plain,
    ( $false
    | ~ spl0_53
    | spl0_80
    | ~ spl0_82
    | ~ spl0_163 ),
    inference(subsumption_resolution,[],[f4087,f645]) ).

fof(f645,plain,
    ( c1_1(a1504)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f643]) ).

fof(f643,plain,
    ( spl0_82
  <=> c1_1(a1504) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f4087,plain,
    ( ~ c1_1(a1504)
    | ~ spl0_53
    | spl0_80
    | ~ spl0_163 ),
    inference(subsumption_resolution,[],[f4079,f635]) ).

fof(f635,plain,
    ( ~ c0_1(a1504)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f633]) ).

fof(f4079,plain,
    ( c0_1(a1504)
    | ~ c1_1(a1504)
    | ~ spl0_53
    | ~ spl0_163 ),
    inference(resolution,[],[f485,f1444]) ).

fof(f1444,plain,
    ( c3_1(a1504)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1442]) ).

fof(f485,plain,
    ( ! [X56] :
        ( ~ c3_1(X56)
        | c0_1(X56)
        | ~ c1_1(X56) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f484,plain,
    ( spl0_53
  <=> ! [X56] :
        ( ~ c3_1(X56)
        | c0_1(X56)
        | ~ c1_1(X56) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f4034,plain,
    ( ~ spl0_56
    | ~ spl0_60
    | spl0_98
    | spl0_100 ),
    inference(avatar_contradiction_clause,[],[f4033]) ).

fof(f4033,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_60
    | spl0_98
    | spl0_100 ),
    inference(subsumption_resolution,[],[f4020,f741]) ).

fof(f741,plain,
    ( ~ c0_1(a1460)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f739]) ).

fof(f739,plain,
    ( spl0_100
  <=> c0_1(a1460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f4020,plain,
    ( c0_1(a1460)
    | ~ spl0_56
    | ~ spl0_60
    | spl0_98 ),
    inference(resolution,[],[f4005,f731]) ).

fof(f731,plain,
    ( ~ c3_1(a1460)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f729]) ).

fof(f729,plain,
    ( spl0_98
  <=> c3_1(a1460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f4005,plain,
    ( ! [X86] :
        ( c3_1(X86)
        | c0_1(X86) )
    | ~ spl0_56
    | ~ spl0_60 ),
    inference(subsumption_resolution,[],[f522,f502]) ).

fof(f522,plain,
    ( ! [X86] :
        ( c3_1(X86)
        | c0_1(X86)
        | c2_1(X86) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f521,plain,
    ( spl0_60
  <=> ! [X86] :
        ( c3_1(X86)
        | c0_1(X86)
        | c2_1(X86) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f4032,plain,
    ( ~ spl0_56
    | ~ spl0_60
    | spl0_106
    | spl0_174 ),
    inference(avatar_contradiction_clause,[],[f4031]) ).

fof(f4031,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_60
    | spl0_106
    | spl0_174 ),
    inference(subsumption_resolution,[],[f4019,f773]) ).

fof(f773,plain,
    ( ~ c0_1(a1457)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f771,plain,
    ( spl0_106
  <=> c0_1(a1457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f4019,plain,
    ( c0_1(a1457)
    | ~ spl0_56
    | ~ spl0_60
    | spl0_174 ),
    inference(resolution,[],[f4005,f2899]) ).

fof(f2899,plain,
    ( ~ c3_1(a1457)
    | spl0_174 ),
    inference(avatar_component_clause,[],[f2897]) ).

fof(f2897,plain,
    ( spl0_174
  <=> c3_1(a1457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f4030,plain,
    ( ~ spl0_56
    | ~ spl0_60
    | spl0_107
    | spl0_108 ),
    inference(avatar_contradiction_clause,[],[f4029]) ).

fof(f4029,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_60
    | spl0_107
    | spl0_108 ),
    inference(subsumption_resolution,[],[f4018,f784]) ).

fof(f784,plain,
    ( ~ c0_1(a1454)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f782]) ).

fof(f782,plain,
    ( spl0_108
  <=> c0_1(a1454) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f4018,plain,
    ( c0_1(a1454)
    | ~ spl0_56
    | ~ spl0_60
    | spl0_107 ),
    inference(resolution,[],[f4005,f779]) ).

fof(f779,plain,
    ( ~ c3_1(a1454)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f777]) ).

fof(f777,plain,
    ( spl0_107
  <=> c3_1(a1454) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f4028,plain,
    ( ~ spl0_56
    | ~ spl0_60
    | spl0_122
    | spl0_124 ),
    inference(avatar_contradiction_clause,[],[f4027]) ).

fof(f4027,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_60
    | spl0_122
    | spl0_124 ),
    inference(subsumption_resolution,[],[f4015,f869]) ).

fof(f869,plain,
    ( ~ c0_1(a1447)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f867]) ).

fof(f867,plain,
    ( spl0_124
  <=> c0_1(a1447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f4015,plain,
    ( c0_1(a1447)
    | ~ spl0_56
    | ~ spl0_60
    | spl0_122 ),
    inference(resolution,[],[f4005,f859]) ).

fof(f859,plain,
    ( ~ c3_1(a1447)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f857]) ).

fof(f857,plain,
    ( spl0_122
  <=> c3_1(a1447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f4026,plain,
    ( ~ spl0_56
    | ~ spl0_60
    | spl0_147
    | spl0_160 ),
    inference(avatar_contradiction_clause,[],[f4025]) ).

fof(f4025,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_60
    | spl0_147
    | spl0_160 ),
    inference(subsumption_resolution,[],[f4012,f992]) ).

fof(f992,plain,
    ( ~ c0_1(a1431)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f990]) ).

fof(f990,plain,
    ( spl0_147
  <=> c0_1(a1431) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f4012,plain,
    ( c0_1(a1431)
    | ~ spl0_56
    | ~ spl0_60
    | spl0_160 ),
    inference(resolution,[],[f4005,f1245]) ).

fof(f1245,plain,
    ( ~ c3_1(a1431)
    | spl0_160 ),
    inference(avatar_component_clause,[],[f1243]) ).

fof(f1243,plain,
    ( spl0_160
  <=> c3_1(a1431) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f3949,plain,
    ( spl0_83
    | spl0_182
    | ~ spl0_58
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f3895,f659,f510,f3946,f649]) ).

fof(f649,plain,
    ( spl0_83
  <=> c2_1(a1487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f510,plain,
    ( spl0_58
  <=> ! [X76] :
        ( ~ c3_1(X76)
        | c0_1(X76)
        | c2_1(X76) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f3895,plain,
    ( c0_1(a1487)
    | c2_1(a1487)
    | ~ spl0_58
    | ~ spl0_85 ),
    inference(resolution,[],[f511,f661]) ).

fof(f511,plain,
    ( ! [X76] :
        ( ~ c3_1(X76)
        | c0_1(X76)
        | c2_1(X76) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f3942,plain,
    ( ~ spl0_59
    | spl0_146
    | spl0_147
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f3941]) ).

fof(f3941,plain,
    ( $false
    | ~ spl0_59
    | spl0_146
    | spl0_147
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f3940,f987]) ).

fof(f987,plain,
    ( ~ c2_1(a1431)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f985]) ).

fof(f985,plain,
    ( spl0_146
  <=> c2_1(a1431) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f3940,plain,
    ( c2_1(a1431)
    | ~ spl0_59
    | spl0_147
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f3923,f992]) ).

fof(f3923,plain,
    ( c0_1(a1431)
    | c2_1(a1431)
    | ~ spl0_59
    | ~ spl0_148 ),
    inference(resolution,[],[f518,f997]) ).

fof(f997,plain,
    ( c1_1(a1431)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f995]) ).

fof(f995,plain,
    ( spl0_148
  <=> c1_1(a1431) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f518,plain,
    ( ! [X85] :
        ( ~ c1_1(X85)
        | c0_1(X85)
        | c2_1(X85) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f517,plain,
    ( spl0_59
  <=> ! [X85] :
        ( ~ c1_1(X85)
        | c0_1(X85)
        | c2_1(X85) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f3920,plain,
    ( spl0_178
    | ~ spl0_52
    | spl0_92
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f3919,f707,f697,f480,f2969]) ).

fof(f2969,plain,
    ( spl0_178
  <=> c3_1(a1466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f480,plain,
    ( spl0_52
  <=> ! [X54] :
        ( ~ c0_1(X54)
        | c1_1(X54)
        | c3_1(X54) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f697,plain,
    ( spl0_92
  <=> c1_1(a1466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f707,plain,
    ( spl0_94
  <=> c0_1(a1466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f3919,plain,
    ( c3_1(a1466)
    | ~ spl0_52
    | spl0_92
    | ~ spl0_94 ),
    inference(subsumption_resolution,[],[f3917,f699]) ).

fof(f699,plain,
    ( ~ c1_1(a1466)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f3917,plain,
    ( c1_1(a1466)
    | c3_1(a1466)
    | ~ spl0_52
    | ~ spl0_94 ),
    inference(resolution,[],[f481,f709]) ).

fof(f709,plain,
    ( c0_1(a1466)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f481,plain,
    ( ! [X54] :
        ( ~ c0_1(X54)
        | c1_1(X54)
        | c3_1(X54) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f3905,plain,
    ( ~ spl0_58
    | spl0_104
    | spl0_106
    | ~ spl0_174 ),
    inference(avatar_contradiction_clause,[],[f3904]) ).

fof(f3904,plain,
    ( $false
    | ~ spl0_58
    | spl0_104
    | spl0_106
    | ~ spl0_174 ),
    inference(subsumption_resolution,[],[f3903,f763]) ).

fof(f763,plain,
    ( ~ c2_1(a1457)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f761]) ).

fof(f761,plain,
    ( spl0_104
  <=> c2_1(a1457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f3903,plain,
    ( c2_1(a1457)
    | ~ spl0_58
    | spl0_106
    | ~ spl0_174 ),
    inference(subsumption_resolution,[],[f3890,f773]) ).

fof(f3890,plain,
    ( c0_1(a1457)
    | c2_1(a1457)
    | ~ spl0_58
    | ~ spl0_174 ),
    inference(resolution,[],[f511,f2898]) ).

fof(f2898,plain,
    ( c3_1(a1457)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f2897]) ).

fof(f3840,plain,
    ( spl0_174
    | ~ spl0_46
    | ~ spl0_50
    | spl0_105 ),
    inference(avatar_split_clause,[],[f3825,f766,f471,f449,f2897]) ).

fof(f766,plain,
    ( spl0_105
  <=> c1_1(a1457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f3825,plain,
    ( c3_1(a1457)
    | ~ spl0_46
    | ~ spl0_50
    | spl0_105 ),
    inference(resolution,[],[f3817,f768]) ).

fof(f768,plain,
    ( ~ c1_1(a1457)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f766]) ).

fof(f3817,plain,
    ( ! [X49] :
        ( c1_1(X49)
        | c3_1(X49) )
    | ~ spl0_46
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f472,f450]) ).

fof(f3779,plain,
    ( ~ spl0_35
    | spl0_101
    | ~ spl0_102
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f3778]) ).

fof(f3778,plain,
    ( $false
    | ~ spl0_35
    | spl0_101
    | ~ spl0_102
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f3777,f1211]) ).

fof(f1211,plain,
    ( c3_1(a1458)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1209]) ).

fof(f1209,plain,
    ( spl0_158
  <=> c3_1(a1458) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f3777,plain,
    ( ~ c3_1(a1458)
    | ~ spl0_35
    | spl0_101
    | ~ spl0_102 ),
    inference(subsumption_resolution,[],[f3766,f747]) ).

fof(f3766,plain,
    ( c2_1(a1458)
    | ~ c3_1(a1458)
    | ~ spl0_35
    | ~ spl0_102 ),
    inference(resolution,[],[f401,f752]) ).

fof(f401,plain,
    ( ! [X12] :
        ( ~ c1_1(X12)
        | c2_1(X12)
        | ~ c3_1(X12) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f400,plain,
    ( spl0_35
  <=> ! [X12] :
        ( ~ c3_1(X12)
        | c2_1(X12)
        | ~ c1_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f3776,plain,
    ( ~ spl0_35
    | spl0_143
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f3775]) ).

fof(f3775,plain,
    ( $false
    | ~ spl0_35
    | spl0_143
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f3774,f976]) ).

fof(f976,plain,
    ( c3_1(a1434)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f974]) ).

fof(f974,plain,
    ( spl0_144
  <=> c3_1(a1434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f3774,plain,
    ( ~ c3_1(a1434)
    | ~ spl0_35
    | spl0_143
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f3762,f971]) ).

fof(f971,plain,
    ( ~ c2_1(a1434)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f969]) ).

fof(f969,plain,
    ( spl0_143
  <=> c2_1(a1434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f3762,plain,
    ( c2_1(a1434)
    | ~ c3_1(a1434)
    | ~ spl0_35
    | ~ spl0_145 ),
    inference(resolution,[],[f401,f981]) ).

fof(f981,plain,
    ( c1_1(a1434)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f979]) ).

fof(f979,plain,
    ( spl0_145
  <=> c1_1(a1434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f3743,plain,
    ( ~ spl0_169
    | ~ spl0_23
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f3742,f835,f830,f350,f2071]) ).

fof(f350,plain,
    ( spl0_23
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f835,plain,
    ( spl0_118
  <=> c1_1(a1449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f3742,plain,
    ( ~ c0_1(a1449)
    | ~ spl0_23
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f3731,f832]) ).

fof(f3731,plain,
    ( ~ c0_1(a1449)
    | ~ c2_1(a1449)
    | ~ spl0_23
    | ~ spl0_118 ),
    inference(resolution,[],[f351,f837]) ).

fof(f837,plain,
    ( c1_1(a1449)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f835]) ).

fof(f351,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f3725,plain,
    ( ~ spl0_35
    | ~ spl0_47
    | spl0_119
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f3724]) ).

fof(f3724,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_47
    | spl0_119
    | ~ spl0_120 ),
    inference(subsumption_resolution,[],[f3714,f843]) ).

fof(f843,plain,
    ( ~ c2_1(a1448)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f841]) ).

fof(f841,plain,
    ( spl0_119
  <=> c2_1(a1448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f3714,plain,
    ( c2_1(a1448)
    | ~ spl0_35
    | ~ spl0_47
    | ~ spl0_120 ),
    inference(resolution,[],[f3685,f848]) ).

fof(f848,plain,
    ( c3_1(a1448)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f846]) ).

fof(f846,plain,
    ( spl0_120
  <=> c3_1(a1448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f3685,plain,
    ( ! [X12] :
        ( ~ c3_1(X12)
        | c2_1(X12) )
    | ~ spl0_35
    | ~ spl0_47 ),
    inference(subsumption_resolution,[],[f401,f454]) ).

fof(f3707,plain,
    ( ~ spl0_47
    | ~ spl0_50
    | spl0_104
    | spl0_105 ),
    inference(avatar_contradiction_clause,[],[f3706]) ).

fof(f3706,plain,
    ( $false
    | ~ spl0_47
    | ~ spl0_50
    | spl0_104
    | spl0_105 ),
    inference(subsumption_resolution,[],[f3697,f763]) ).

fof(f3697,plain,
    ( c2_1(a1457)
    | ~ spl0_47
    | ~ spl0_50
    | spl0_105 ),
    inference(resolution,[],[f3677,f768]) ).

fof(f3677,plain,
    ( ! [X49] :
        ( c1_1(X49)
        | c2_1(X49) )
    | ~ spl0_47
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f472,f454]) ).

fof(f3683,plain,
    ( spl0_140
    | spl0_141
    | ~ spl0_37
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f3631,f963,f408,f958,f953]) ).

fof(f953,plain,
    ( spl0_140
  <=> c3_1(a1435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f408,plain,
    ( spl0_37
  <=> ! [X14] :
        ( ~ c0_1(X14)
        | c2_1(X14)
        | c3_1(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f3631,plain,
    ( c2_1(a1435)
    | c3_1(a1435)
    | ~ spl0_37
    | ~ spl0_142 ),
    inference(resolution,[],[f965,f409]) ).

fof(f409,plain,
    ( ! [X14] :
        ( ~ c0_1(X14)
        | c2_1(X14)
        | c3_1(X14) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f3676,plain,
    ( ~ spl0_51
    | ~ spl0_58
    | spl0_89
    | ~ spl0_90 ),
    inference(avatar_contradiction_clause,[],[f3675]) ).

fof(f3675,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_58
    | spl0_89
    | ~ spl0_90 ),
    inference(subsumption_resolution,[],[f3665,f683]) ).

fof(f683,plain,
    ( ~ c0_1(a1468)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f681,plain,
    ( spl0_89
  <=> c0_1(a1468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f3665,plain,
    ( c0_1(a1468)
    | ~ spl0_51
    | ~ spl0_58
    | ~ spl0_90 ),
    inference(resolution,[],[f3613,f688]) ).

fof(f688,plain,
    ( c3_1(a1468)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f686]) ).

fof(f686,plain,
    ( spl0_90
  <=> c3_1(a1468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f3613,plain,
    ( ! [X53] :
        ( ~ c3_1(X53)
        | c0_1(X53) )
    | ~ spl0_51
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f477,f511]) ).

fof(f477,plain,
    ( ! [X53] :
        ( ~ c3_1(X53)
        | c0_1(X53)
        | ~ c2_1(X53) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f476,plain,
    ( spl0_51
  <=> ! [X53] :
        ( ~ c3_1(X53)
        | c0_1(X53)
        | ~ c2_1(X53) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f3674,plain,
    ( ~ spl0_51
    | ~ spl0_58
    | spl0_135
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f3673]) ).

fof(f3673,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_58
    | spl0_135
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f3659,f928]) ).

fof(f3659,plain,
    ( c0_1(a1438)
    | ~ spl0_51
    | ~ spl0_58
    | ~ spl0_136 ),
    inference(resolution,[],[f3613,f933]) ).

fof(f3672,plain,
    ( ~ spl0_51
    | ~ spl0_58
    | spl0_147
    | ~ spl0_160 ),
    inference(avatar_contradiction_clause,[],[f3671]) ).

fof(f3671,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_58
    | spl0_147
    | ~ spl0_160 ),
    inference(subsumption_resolution,[],[f3656,f992]) ).

fof(f3656,plain,
    ( c0_1(a1431)
    | ~ spl0_51
    | ~ spl0_58
    | ~ spl0_160 ),
    inference(resolution,[],[f3613,f1244]) ).

fof(f1244,plain,
    ( c3_1(a1431)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1243]) ).

fof(f3611,plain,
    ( spl0_159
    | ~ spl0_58
    | spl0_89
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f3601,f686,f681,f510,f1214]) ).

fof(f1214,plain,
    ( spl0_159
  <=> c2_1(a1468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f3601,plain,
    ( c2_1(a1468)
    | ~ spl0_58
    | spl0_89
    | ~ spl0_90 ),
    inference(subsumption_resolution,[],[f3591,f683]) ).

fof(f3591,plain,
    ( c0_1(a1468)
    | c2_1(a1468)
    | ~ spl0_58
    | ~ spl0_90 ),
    inference(resolution,[],[f511,f688]) ).

fof(f3605,plain,
    ( spl0_149
    | ~ spl0_58
    | spl0_150
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f3593,f1011,f1006,f510,f1001]) ).

fof(f1001,plain,
    ( spl0_149
  <=> c2_1(a1430) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1006,plain,
    ( spl0_150
  <=> c0_1(a1430) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1011,plain,
    ( spl0_151
  <=> c3_1(a1430) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f3593,plain,
    ( c2_1(a1430)
    | ~ spl0_58
    | spl0_150
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f3583,f1008]) ).

fof(f1008,plain,
    ( ~ c0_1(a1430)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f1006]) ).

fof(f3583,plain,
    ( c0_1(a1430)
    | c2_1(a1430)
    | ~ spl0_58
    | ~ spl0_151 ),
    inference(resolution,[],[f511,f1013]) ).

fof(f1013,plain,
    ( c3_1(a1430)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f1011]) ).

fof(f3604,plain,
    ( spl0_146
    | ~ spl0_58
    | spl0_147
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f3596,f1243,f990,f510,f985]) ).

fof(f3596,plain,
    ( c2_1(a1431)
    | ~ spl0_58
    | spl0_147
    | ~ spl0_160 ),
    inference(subsumption_resolution,[],[f3584,f992]) ).

fof(f3584,plain,
    ( c0_1(a1431)
    | c2_1(a1431)
    | ~ spl0_58
    | ~ spl0_160 ),
    inference(resolution,[],[f511,f1244]) ).

fof(f3600,plain,
    ( spl0_173
    | ~ spl0_58
    | spl0_135
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f3599,f931,f926,f510,f2769]) ).

fof(f3599,plain,
    ( c2_1(a1438)
    | ~ spl0_58
    | spl0_135
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f3586,f928]) ).

fof(f3586,plain,
    ( c0_1(a1438)
    | c2_1(a1438)
    | ~ spl0_58
    | ~ spl0_136 ),
    inference(resolution,[],[f511,f933]) ).

fof(f3532,plain,
    ( spl0_166
    | ~ spl0_56
    | spl0_87
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f3531,f675,f670,f501,f1526]) ).

fof(f3531,plain,
    ( c3_1(a1477)
    | ~ spl0_56
    | spl0_87
    | ~ spl0_88 ),
    inference(subsumption_resolution,[],[f3521,f672]) ).

fof(f3521,plain,
    ( c0_1(a1477)
    | c3_1(a1477)
    | ~ spl0_56
    | ~ spl0_88 ),
    inference(resolution,[],[f502,f677]) ).

fof(f3530,plain,
    ( ~ spl0_34
    | ~ spl0_56
    | spl0_107
    | spl0_108
    | ~ spl0_109 ),
    inference(avatar_contradiction_clause,[],[f3529]) ).

fof(f3529,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_56
    | spl0_107
    | spl0_108
    | ~ spl0_109 ),
    inference(subsumption_resolution,[],[f3528,f779]) ).

fof(f3528,plain,
    ( c3_1(a1454)
    | ~ spl0_34
    | ~ spl0_56
    | spl0_107
    | spl0_108
    | ~ spl0_109 ),
    inference(subsumption_resolution,[],[f3518,f784]) ).

fof(f3518,plain,
    ( c0_1(a1454)
    | c3_1(a1454)
    | ~ spl0_34
    | ~ spl0_56
    | spl0_107
    | ~ spl0_109 ),
    inference(resolution,[],[f502,f2296]) ).

fof(f2296,plain,
    ( c2_1(a1454)
    | ~ spl0_34
    | spl0_107
    | ~ spl0_109 ),
    inference(subsumption_resolution,[],[f2294,f779]) ).

fof(f2294,plain,
    ( c2_1(a1454)
    | c3_1(a1454)
    | ~ spl0_34
    | ~ spl0_109 ),
    inference(resolution,[],[f789,f396]) ).

fof(f396,plain,
    ( ! [X9] :
        ( ~ c1_1(X9)
        | c2_1(X9)
        | c3_1(X9) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f395,plain,
    ( spl0_34
  <=> ! [X9] :
        ( ~ c1_1(X9)
        | c2_1(X9)
        | c3_1(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f789,plain,
    ( c1_1(a1454)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f787]) ).

fof(f787,plain,
    ( spl0_109
  <=> c1_1(a1454) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f3509,plain,
    ( spl0_164
    | ~ spl0_46
    | spl0_77
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f3508,f627,f617,f449,f1491]) ).

fof(f617,plain,
    ( spl0_77
  <=> c3_1(a1517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f3508,plain,
    ( c1_1(a1517)
    | ~ spl0_46
    | spl0_77
    | ~ spl0_79 ),
    inference(subsumption_resolution,[],[f3498,f619]) ).

fof(f619,plain,
    ( ~ c3_1(a1517)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f617]) ).

fof(f3498,plain,
    ( c1_1(a1517)
    | c3_1(a1517)
    | ~ spl0_46
    | ~ spl0_79 ),
    inference(resolution,[],[f450,f629]) ).

fof(f3505,plain,
    ( spl0_178
    | ~ spl0_46
    | spl0_92
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f3504,f702,f697,f449,f2969]) ).

fof(f702,plain,
    ( spl0_93
  <=> c2_1(a1466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f3504,plain,
    ( c3_1(a1466)
    | ~ spl0_46
    | spl0_92
    | ~ spl0_93 ),
    inference(subsumption_resolution,[],[f3495,f699]) ).

fof(f3495,plain,
    ( c1_1(a1466)
    | c3_1(a1466)
    | ~ spl0_46
    | ~ spl0_93 ),
    inference(resolution,[],[f450,f704]) ).

fof(f704,plain,
    ( c2_1(a1466)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f3458,plain,
    ( ~ spl0_49
    | ~ spl0_54
    | spl0_101
    | ~ spl0_103 ),
    inference(avatar_contradiction_clause,[],[f3457]) ).

fof(f3457,plain,
    ( $false
    | ~ spl0_49
    | ~ spl0_54
    | spl0_101
    | ~ spl0_103 ),
    inference(subsumption_resolution,[],[f3453,f757]) ).

fof(f3453,plain,
    ( ~ c0_1(a1458)
    | ~ spl0_49
    | ~ spl0_54
    | spl0_101 ),
    inference(resolution,[],[f3433,f747]) ).

fof(f3433,plain,
    ( ! [X61] :
        ( c2_1(X61)
        | ~ c0_1(X61) )
    | ~ spl0_49
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f491,f466]) ).

fof(f466,plain,
    ( ! [X43] :
        ( ~ c0_1(X43)
        | c1_1(X43)
        | c2_1(X43) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f465,plain,
    ( spl0_49
  <=> ! [X43] :
        ( ~ c0_1(X43)
        | c1_1(X43)
        | c2_1(X43) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f3445,plain,
    ( spl0_160
    | ~ spl0_34
    | spl0_146
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f3444,f995,f985,f395,f1243]) ).

fof(f3444,plain,
    ( c3_1(a1431)
    | ~ spl0_34
    | spl0_146
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f3443,f987]) ).

fof(f3443,plain,
    ( c2_1(a1431)
    | c3_1(a1431)
    | ~ spl0_34
    | ~ spl0_148 ),
    inference(resolution,[],[f997,f396]) ).

fof(f3430,plain,
    ( spl0_95
    | spl0_171
    | ~ spl0_61
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f3388,f718,f527,f2222,f713]) ).

fof(f527,plain,
    ( spl0_61
  <=> ! [X91] :
        ( ~ c3_1(X91)
        | c0_1(X91)
        | c1_1(X91) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f718,plain,
    ( spl0_96
  <=> c3_1(a1465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f3388,plain,
    ( c0_1(a1465)
    | c1_1(a1465)
    | ~ spl0_61
    | ~ spl0_96 ),
    inference(resolution,[],[f528,f720]) ).

fof(f720,plain,
    ( c3_1(a1465)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f718]) ).

fof(f528,plain,
    ( ! [X91] :
        ( ~ c3_1(X91)
        | c0_1(X91)
        | c1_1(X91) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f3429,plain,
    ( ~ spl0_172
    | ~ spl0_71
    | ~ spl0_21
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f3190,f590,f342,f585,f2409]) ).

fof(f590,plain,
    ( spl0_72
  <=> c1_1(a1456) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f3190,plain,
    ( ~ c3_1(a1456)
    | ~ c2_1(a1456)
    | ~ spl0_21
    | ~ spl0_72 ),
    inference(resolution,[],[f343,f592]) ).

fof(f592,plain,
    ( c1_1(a1456)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f3398,plain,
    ( ~ spl0_61
    | spl0_86
    | spl0_87
    | ~ spl0_166 ),
    inference(avatar_contradiction_clause,[],[f3397]) ).

fof(f3397,plain,
    ( $false
    | ~ spl0_61
    | spl0_86
    | spl0_87
    | ~ spl0_166 ),
    inference(subsumption_resolution,[],[f3396,f667]) ).

fof(f3396,plain,
    ( c1_1(a1477)
    | ~ spl0_61
    | spl0_87
    | ~ spl0_166 ),
    inference(subsumption_resolution,[],[f3390,f672]) ).

fof(f3390,plain,
    ( c0_1(a1477)
    | c1_1(a1477)
    | ~ spl0_61
    | ~ spl0_166 ),
    inference(resolution,[],[f528,f1528]) ).

fof(f3380,plain,
    ( ~ spl0_55
    | ~ spl0_59
    | spl0_89
    | ~ spl0_91 ),
    inference(avatar_contradiction_clause,[],[f3379]) ).

fof(f3379,plain,
    ( $false
    | ~ spl0_55
    | ~ spl0_59
    | spl0_89
    | ~ spl0_91 ),
    inference(subsumption_resolution,[],[f3370,f683]) ).

fof(f3370,plain,
    ( c0_1(a1468)
    | ~ spl0_55
    | ~ spl0_59
    | ~ spl0_91 ),
    inference(resolution,[],[f3362,f693]) ).

fof(f693,plain,
    ( c1_1(a1468)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f691]) ).

fof(f691,plain,
    ( spl0_91
  <=> c1_1(a1468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f3362,plain,
    ( ! [X85] :
        ( ~ c1_1(X85)
        | c0_1(X85) )
    | ~ spl0_55
    | ~ spl0_59 ),
    inference(subsumption_resolution,[],[f518,f495]) ).

fof(f495,plain,
    ( ! [X63] :
        ( ~ c2_1(X63)
        | c0_1(X63)
        | ~ c1_1(X63) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f494]) ).

fof(f494,plain,
    ( spl0_55
  <=> ! [X63] :
        ( ~ c2_1(X63)
        | c0_1(X63)
        | ~ c1_1(X63) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f3354,plain,
    ( ~ spl0_164
    | spl0_78
    | ~ spl0_55
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f3293,f627,f494,f622,f1491]) ).

fof(f622,plain,
    ( spl0_78
  <=> c0_1(a1517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f3293,plain,
    ( c0_1(a1517)
    | ~ c1_1(a1517)
    | ~ spl0_55
    | ~ spl0_79 ),
    inference(resolution,[],[f495,f629]) ).

fof(f3305,plain,
    ( spl0_169
    | ~ spl0_55
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f3304,f835,f830,f494,f2071]) ).

fof(f3304,plain,
    ( c0_1(a1449)
    | ~ spl0_55
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f3286,f837]) ).

fof(f3286,plain,
    ( c0_1(a1449)
    | ~ c1_1(a1449)
    | ~ spl0_55
    | ~ spl0_117 ),
    inference(resolution,[],[f495,f832]) ).

fof(f3276,plain,
    ( ~ spl0_52
    | spl0_125
    | spl0_126
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f3275]) ).

fof(f3275,plain,
    ( $false
    | ~ spl0_52
    | spl0_125
    | spl0_126
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f3274,f875]) ).

fof(f875,plain,
    ( ~ c3_1(a1445)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f873]) ).

fof(f873,plain,
    ( spl0_125
  <=> c3_1(a1445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f3274,plain,
    ( c3_1(a1445)
    | ~ spl0_52
    | spl0_126
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f3265,f880]) ).

fof(f880,plain,
    ( ~ c1_1(a1445)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f878]) ).

fof(f878,plain,
    ( spl0_126
  <=> c1_1(a1445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f3265,plain,
    ( c1_1(a1445)
    | c3_1(a1445)
    | ~ spl0_52
    | ~ spl0_127 ),
    inference(resolution,[],[f481,f885]) ).

fof(f885,plain,
    ( c0_1(a1445)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f883]) ).

fof(f883,plain,
    ( spl0_127
  <=> c0_1(a1445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f3207,plain,
    ( ~ spl0_161
    | ~ spl0_21
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f3206,f558,f553,f342,f1419]) ).

fof(f1419,plain,
    ( spl0_161
  <=> c3_1(a1507) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f553,plain,
    ( spl0_65
  <=> c2_1(a1507) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f558,plain,
    ( spl0_66
  <=> c1_1(a1507) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f3206,plain,
    ( ~ c3_1(a1507)
    | ~ spl0_21
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(subsumption_resolution,[],[f3192,f555]) ).

fof(f555,plain,
    ( c2_1(a1507)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f3192,plain,
    ( ~ c3_1(a1507)
    | ~ c2_1(a1507)
    | ~ spl0_21
    | ~ spl0_66 ),
    inference(resolution,[],[f343,f560]) ).

fof(f560,plain,
    ( c1_1(a1507)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f558]) ).

fof(f3203,plain,
    ( ~ spl0_159
    | ~ spl0_21
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f3202,f691,f686,f342,f1214]) ).

fof(f3202,plain,
    ( ~ c2_1(a1468)
    | ~ spl0_21
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(subsumption_resolution,[],[f3186,f688]) ).

fof(f3186,plain,
    ( ~ c3_1(a1468)
    | ~ c2_1(a1468)
    | ~ spl0_21
    | ~ spl0_91 ),
    inference(resolution,[],[f343,f693]) ).

fof(f3138,plain,
    ( ~ spl0_28
    | ~ spl0_39
    | ~ spl0_56
    | spl0_77
    | ~ spl0_79 ),
    inference(avatar_contradiction_clause,[],[f3137]) ).

fof(f3137,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_39
    | ~ spl0_56
    | spl0_77
    | ~ spl0_79 ),
    inference(subsumption_resolution,[],[f3122,f629]) ).

fof(f3122,plain,
    ( ~ c2_1(a1517)
    | ~ spl0_28
    | ~ spl0_39
    | ~ spl0_56
    | spl0_77 ),
    inference(resolution,[],[f3110,f619]) ).

fof(f3110,plain,
    ( ! [X72] :
        ( c3_1(X72)
        | ~ c2_1(X72) )
    | ~ spl0_28
    | ~ spl0_39
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f502,f2967]) ).

fof(f2967,plain,
    ( ! [X5] :
        ( ~ c0_1(X5)
        | ~ c2_1(X5) )
    | ~ spl0_28
    | ~ spl0_39 ),
    inference(subsumption_resolution,[],[f371,f419]) ).

fof(f371,plain,
    ( ! [X5] :
        ( ~ c0_1(X5)
        | c3_1(X5)
        | ~ c2_1(X5) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f370,plain,
    ( spl0_28
  <=> ! [X5] :
        ( ~ c2_1(X5)
        | c3_1(X5)
        | ~ c0_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f3109,plain,
    ( ~ spl0_53
    | spl0_89
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(avatar_contradiction_clause,[],[f3108]) ).

fof(f3108,plain,
    ( $false
    | ~ spl0_53
    | spl0_89
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(subsumption_resolution,[],[f3107,f693]) ).

fof(f3107,plain,
    ( ~ c1_1(a1468)
    | ~ spl0_53
    | spl0_89
    | ~ spl0_90 ),
    inference(subsumption_resolution,[],[f3093,f683]) ).

fof(f3093,plain,
    ( c0_1(a1468)
    | ~ c1_1(a1468)
    | ~ spl0_53
    | ~ spl0_90 ),
    inference(resolution,[],[f485,f688]) ).

fof(f3101,plain,
    ( ~ spl0_53
    | spl0_147
    | ~ spl0_148
    | ~ spl0_160 ),
    inference(avatar_contradiction_clause,[],[f3100]) ).

fof(f3100,plain,
    ( $false
    | ~ spl0_53
    | spl0_147
    | ~ spl0_148
    | ~ spl0_160 ),
    inference(subsumption_resolution,[],[f3099,f997]) ).

fof(f3099,plain,
    ( ~ c1_1(a1431)
    | ~ spl0_53
    | spl0_147
    | ~ spl0_160 ),
    inference(subsumption_resolution,[],[f3086,f992]) ).

fof(f3086,plain,
    ( c0_1(a1431)
    | ~ c1_1(a1431)
    | ~ spl0_53
    | ~ spl0_160 ),
    inference(resolution,[],[f485,f1244]) ).

fof(f3034,plain,
    ( spl0_161
    | ~ spl0_26
    | ~ spl0_34
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f3019,f558,f395,f362,f1419]) ).

fof(f3019,plain,
    ( c3_1(a1507)
    | ~ spl0_26
    | ~ spl0_34
    | ~ spl0_66 ),
    inference(resolution,[],[f2979,f560]) ).

fof(f2979,plain,
    ( ! [X4] :
        ( ~ c1_1(X4)
        | c3_1(X4) )
    | ~ spl0_26
    | ~ spl0_34 ),
    inference(subsumption_resolution,[],[f363,f396]) ).

fof(f3023,plain,
    ( ~ spl0_26
    | ~ spl0_34
    | spl0_110
    | ~ spl0_111 ),
    inference(avatar_contradiction_clause,[],[f3022]) ).

fof(f3022,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_34
    | spl0_110
    | ~ spl0_111 ),
    inference(subsumption_resolution,[],[f3011,f795]) ).

fof(f795,plain,
    ( ~ c3_1(a1452)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f793,plain,
    ( spl0_110
  <=> c3_1(a1452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f3011,plain,
    ( c3_1(a1452)
    | ~ spl0_26
    | ~ spl0_34
    | ~ spl0_111 ),
    inference(resolution,[],[f2979,f800]) ).

fof(f800,plain,
    ( c1_1(a1452)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f798]) ).

fof(f798,plain,
    ( spl0_111
  <=> c1_1(a1452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f3006,plain,
    ( ~ spl0_65
    | ~ spl0_161
    | ~ spl0_39
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f2268,f563,f418,f1419,f553]) ).

fof(f563,plain,
    ( spl0_67
  <=> c0_1(a1507) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f2268,plain,
    ( ~ c3_1(a1507)
    | ~ c2_1(a1507)
    | ~ spl0_39
    | ~ spl0_67 ),
    inference(resolution,[],[f565,f419]) ).

fof(f565,plain,
    ( c0_1(a1507)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f563]) ).

fof(f3004,plain,
    ( ~ spl0_65
    | ~ spl0_28
    | ~ spl0_39
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f2998,f563,f418,f370,f553]) ).

fof(f2998,plain,
    ( ~ c2_1(a1507)
    | ~ spl0_28
    | ~ spl0_39
    | ~ spl0_67 ),
    inference(resolution,[],[f2967,f565]) ).

fof(f2983,plain,
    ( ~ spl0_96
    | ~ spl0_41
    | spl0_95
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f2982,f723,f713,f427,f718]) ).

fof(f2982,plain,
    ( ~ c3_1(a1465)
    | ~ spl0_41
    | spl0_95
    | ~ spl0_97 ),
    inference(subsumption_resolution,[],[f2981,f725]) ).

fof(f2981,plain,
    ( ~ c3_1(a1465)
    | ~ c2_1(a1465)
    | ~ spl0_41
    | spl0_95 ),
    inference(resolution,[],[f715,f428]) ).

fof(f2975,plain,
    ( ~ spl0_96
    | ~ spl0_39
    | ~ spl0_97
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f2974,f2222,f723,f418,f718]) ).

fof(f2974,plain,
    ( ~ c3_1(a1465)
    | ~ spl0_39
    | ~ spl0_97
    | ~ spl0_171 ),
    inference(subsumption_resolution,[],[f2722,f725]) ).

fof(f2722,plain,
    ( ~ c3_1(a1465)
    | ~ c2_1(a1465)
    | ~ spl0_39
    | ~ spl0_171 ),
    inference(resolution,[],[f2224,f419]) ).

fof(f2224,plain,
    ( c0_1(a1465)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f2222]) ).

fof(f2973,plain,
    ( ~ spl0_93
    | ~ spl0_178
    | ~ spl0_39
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f2540,f707,f418,f2969,f702]) ).

fof(f2540,plain,
    ( ~ c3_1(a1466)
    | ~ c2_1(a1466)
    | ~ spl0_39
    | ~ spl0_94 ),
    inference(resolution,[],[f709,f419]) ).

fof(f2972,plain,
    ( ~ spl0_93
    | ~ spl0_178
    | ~ spl0_41
    | spl0_92 ),
    inference(avatar_split_clause,[],[f2834,f697,f427,f2969,f702]) ).

fof(f2834,plain,
    ( ~ c3_1(a1466)
    | ~ c2_1(a1466)
    | ~ spl0_41
    | spl0_92 ),
    inference(resolution,[],[f428,f699]) ).

fof(f2965,plain,
    ( ~ spl0_45
    | ~ spl0_49
    | spl0_92
    | ~ spl0_94 ),
    inference(avatar_contradiction_clause,[],[f2964]) ).

fof(f2964,plain,
    ( $false
    | ~ spl0_45
    | ~ spl0_49
    | spl0_92
    | ~ spl0_94 ),
    inference(subsumption_resolution,[],[f2960,f699]) ).

fof(f2960,plain,
    ( c1_1(a1466)
    | ~ spl0_45
    | ~ spl0_49
    | ~ spl0_94 ),
    inference(resolution,[],[f2920,f709]) ).

fof(f2920,plain,
    ( ! [X28] :
        ( ~ c0_1(X28)
        | c1_1(X28) )
    | ~ spl0_45
    | ~ spl0_49 ),
    inference(subsumption_resolution,[],[f446,f466]) ).

fof(f446,plain,
    ( ! [X28] :
        ( ~ c0_1(X28)
        | c1_1(X28)
        | ~ c2_1(X28) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f445,plain,
    ( spl0_45
  <=> ! [X28] :
        ( ~ c2_1(X28)
        | c1_1(X28)
        | ~ c0_1(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f2955,plain,
    ( ~ spl0_41
    | ~ spl0_47
    | ~ spl0_52
    | spl0_92
    | ~ spl0_94 ),
    inference(avatar_contradiction_clause,[],[f2954]) ).

fof(f2954,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_47
    | ~ spl0_52
    | spl0_92
    | ~ spl0_94 ),
    inference(subsumption_resolution,[],[f2950,f699]) ).

fof(f2950,plain,
    ( c1_1(a1466)
    | ~ spl0_41
    | ~ spl0_47
    | ~ spl0_52
    | ~ spl0_94 ),
    inference(resolution,[],[f2919,f709]) ).

fof(f2919,plain,
    ( ! [X54] :
        ( ~ c0_1(X54)
        | c1_1(X54) )
    | ~ spl0_41
    | ~ spl0_47
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f481,f2840]) ).

fof(f2840,plain,
    ( ! [X31] :
        ( c1_1(X31)
        | ~ c3_1(X31) )
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(subsumption_resolution,[],[f454,f428]) ).

fof(f2937,plain,
    ( ~ spl0_32
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_50
    | ~ spl0_58
    | spl0_83 ),
    inference(avatar_contradiction_clause,[],[f2934]) ).

fof(f2934,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_50
    | ~ spl0_58
    | spl0_83 ),
    inference(resolution,[],[f2923,f651]) ).

fof(f651,plain,
    ( ~ c2_1(a1487)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f2923,plain,
    ( ! [X8] : c2_1(X8)
    | ~ spl0_32
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_50
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f2922,f2860]) ).

fof(f2860,plain,
    ( ! [X76] :
        ( c2_1(X76)
        | c0_1(X76) )
    | ~ spl0_34
    | ~ spl0_50
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f511,f2810]) ).

fof(f2810,plain,
    ( ! [X49] :
        ( c3_1(X49)
        | c2_1(X49) )
    | ~ spl0_34
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f472,f396]) ).

fof(f2922,plain,
    ( ! [X8] :
        ( ~ c0_1(X8)
        | c2_1(X8) )
    | ~ spl0_32
    | ~ spl0_37 ),
    inference(subsumption_resolution,[],[f388,f409]) ).

fof(f2891,plain,
    ( ~ spl0_34
    | ~ spl0_50
    | ~ spl0_58
    | spl0_104
    | spl0_106 ),
    inference(avatar_contradiction_clause,[],[f2890]) ).

fof(f2890,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_50
    | ~ spl0_58
    | spl0_104
    | spl0_106 ),
    inference(subsumption_resolution,[],[f2872,f773]) ).

fof(f2872,plain,
    ( c0_1(a1457)
    | ~ spl0_34
    | ~ spl0_50
    | ~ spl0_58
    | spl0_104 ),
    inference(resolution,[],[f2860,f763]) ).

fof(f2889,plain,
    ( ~ spl0_34
    | ~ spl0_50
    | ~ spl0_58
    | spl0_123
    | spl0_124 ),
    inference(avatar_contradiction_clause,[],[f2888]) ).

fof(f2888,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_50
    | ~ spl0_58
    | spl0_123
    | spl0_124 ),
    inference(subsumption_resolution,[],[f2870,f869]) ).

fof(f2870,plain,
    ( c0_1(a1447)
    | ~ spl0_34
    | ~ spl0_50
    | ~ spl0_58
    | spl0_123 ),
    inference(resolution,[],[f2860,f864]) ).

fof(f864,plain,
    ( ~ c2_1(a1447)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f862]) ).

fof(f862,plain,
    ( spl0_123
  <=> c2_1(a1447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f2883,plain,
    ( ~ spl0_34
    | ~ spl0_50
    | ~ spl0_58
    | spl0_146
    | spl0_147 ),
    inference(avatar_contradiction_clause,[],[f2882]) ).

fof(f2882,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_50
    | ~ spl0_58
    | spl0_146
    | spl0_147 ),
    inference(subsumption_resolution,[],[f2865,f992]) ).

fof(f2865,plain,
    ( c0_1(a1431)
    | ~ spl0_34
    | ~ spl0_50
    | ~ spl0_58
    | spl0_146 ),
    inference(resolution,[],[f2860,f987]) ).

fof(f2739,plain,
    ( ~ spl0_49
    | ~ spl0_54
    | spl0_119
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f2738]) ).

fof(f2738,plain,
    ( $false
    | ~ spl0_49
    | ~ spl0_54
    | spl0_119
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f2727,f843]) ).

fof(f2727,plain,
    ( c2_1(a1448)
    | ~ spl0_49
    | ~ spl0_54
    | ~ spl0_121 ),
    inference(resolution,[],[f2719,f853]) ).

fof(f853,plain,
    ( c0_1(a1448)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f851,plain,
    ( spl0_121
  <=> c0_1(a1448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f2719,plain,
    ( ! [X61] :
        ( ~ c0_1(X61)
        | c2_1(X61) )
    | ~ spl0_49
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f491,f466]) ).

fof(f2711,plain,
    ( spl0_140
    | ~ spl0_34
    | spl0_141
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f2708,f2039,f958,f395,f953]) ).

fof(f2708,plain,
    ( c3_1(a1435)
    | ~ spl0_34
    | spl0_141
    | ~ spl0_168 ),
    inference(subsumption_resolution,[],[f2707,f960]) ).

fof(f2707,plain,
    ( c2_1(a1435)
    | c3_1(a1435)
    | ~ spl0_34
    | ~ spl0_168 ),
    inference(resolution,[],[f2041,f396]) ).

fof(f2041,plain,
    ( c1_1(a1435)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f2039]) ).

fof(f2674,plain,
    ( ~ spl0_22
    | ~ spl0_53
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(avatar_contradiction_clause,[],[f2673]) ).

fof(f2673,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_53
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(subsumption_resolution,[],[f2665,f693]) ).

fof(f2665,plain,
    ( ~ c1_1(a1468)
    | ~ spl0_22
    | ~ spl0_53
    | ~ spl0_90 ),
    inference(resolution,[],[f2655,f688]) ).

fof(f2655,plain,
    ( ! [X56] :
        ( ~ c3_1(X56)
        | ~ c1_1(X56) )
    | ~ spl0_22
    | ~ spl0_53 ),
    inference(subsumption_resolution,[],[f485,f347]) ).

fof(f347,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f346,plain,
    ( spl0_22
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f2670,plain,
    ( ~ spl0_22
    | ~ spl0_53
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f2669]) ).

fof(f2669,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_53
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f2661,f981]) ).

fof(f2661,plain,
    ( ~ c1_1(a1434)
    | ~ spl0_22
    | ~ spl0_53
    | ~ spl0_144 ),
    inference(resolution,[],[f2655,f976]) ).

fof(f2668,plain,
    ( ~ spl0_22
    | ~ spl0_53
    | ~ spl0_148
    | ~ spl0_160 ),
    inference(avatar_contradiction_clause,[],[f2667]) ).

fof(f2667,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_53
    | ~ spl0_148
    | ~ spl0_160 ),
    inference(subsumption_resolution,[],[f2660,f997]) ).

fof(f2660,plain,
    ( ~ c1_1(a1431)
    | ~ spl0_22
    | ~ spl0_53
    | ~ spl0_160 ),
    inference(resolution,[],[f2655,f1244]) ).

fof(f2650,plain,
    ( ~ spl0_71
    | ~ spl0_22
    | ~ spl0_72
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f2647,f595,f590,f346,f585]) ).

fof(f2647,plain,
    ( ~ c3_1(a1456)
    | ~ spl0_22
    | ~ spl0_72
    | ~ spl0_73 ),
    inference(subsumption_resolution,[],[f2639,f597]) ).

fof(f2639,plain,
    ( ~ c0_1(a1456)
    | ~ c3_1(a1456)
    | ~ spl0_22
    | ~ spl0_72 ),
    inference(resolution,[],[f347,f592]) ).

fof(f2613,plain,
    ( spl0_108
    | ~ spl0_34
    | ~ spl0_55
    | spl0_107
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2612,f787,f777,f494,f395,f782]) ).

fof(f2612,plain,
    ( c0_1(a1454)
    | ~ spl0_34
    | ~ spl0_55
    | spl0_107
    | ~ spl0_109 ),
    inference(subsumption_resolution,[],[f2585,f789]) ).

fof(f2585,plain,
    ( c0_1(a1454)
    | ~ c1_1(a1454)
    | ~ spl0_34
    | ~ spl0_55
    | spl0_107
    | ~ spl0_109 ),
    inference(resolution,[],[f495,f2296]) ).

fof(f2611,plain,
    ( spl0_80
    | ~ spl0_55
    | ~ spl0_81
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f2610,f643,f638,f494,f633]) ).

fof(f2610,plain,
    ( c0_1(a1504)
    | ~ spl0_55
    | ~ spl0_81
    | ~ spl0_82 ),
    inference(subsumption_resolution,[],[f2589,f645]) ).

fof(f2589,plain,
    ( c0_1(a1504)
    | ~ c1_1(a1504)
    | ~ spl0_55
    | ~ spl0_81 ),
    inference(resolution,[],[f495,f640]) ).

fof(f2535,plain,
    ( ~ spl0_39
    | ~ spl0_49
    | spl0_131
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f2534]) ).

fof(f2534,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_49
    | spl0_131
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f2533,f2103]) ).

fof(f2103,plain,
    ( ~ c2_1(a1441)
    | ~ spl0_39
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f2102,f912]) ).

fof(f912,plain,
    ( c3_1(a1441)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f910]) ).

fof(f910,plain,
    ( spl0_132
  <=> c3_1(a1441) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f2102,plain,
    ( ~ c3_1(a1441)
    | ~ c2_1(a1441)
    | ~ spl0_39
    | ~ spl0_133 ),
    inference(resolution,[],[f917,f419]) ).

fof(f917,plain,
    ( c0_1(a1441)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f915]) ).

fof(f915,plain,
    ( spl0_133
  <=> c0_1(a1441) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f2533,plain,
    ( c2_1(a1441)
    | ~ spl0_49
    | spl0_131
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f2520,f907]) ).

fof(f907,plain,
    ( ~ c1_1(a1441)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f905,plain,
    ( spl0_131
  <=> c1_1(a1441) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f2520,plain,
    ( c1_1(a1441)
    | c2_1(a1441)
    | ~ spl0_49
    | ~ spl0_133 ),
    inference(resolution,[],[f466,f917]) ).

fof(f2532,plain,
    ( ~ spl0_49
    | spl0_137
    | spl0_138
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f2531]) ).

fof(f2531,plain,
    ( $false
    | ~ spl0_49
    | spl0_137
    | spl0_138
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2530,f939]) ).

fof(f939,plain,
    ( ~ c2_1(a1437)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f937]) ).

fof(f937,plain,
    ( spl0_137
  <=> c2_1(a1437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2530,plain,
    ( c2_1(a1437)
    | ~ spl0_49
    | spl0_138
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2519,f944]) ).

fof(f944,plain,
    ( ~ c1_1(a1437)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f942]) ).

fof(f942,plain,
    ( spl0_138
  <=> c1_1(a1437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2519,plain,
    ( c1_1(a1437)
    | c2_1(a1437)
    | ~ spl0_49
    | ~ spl0_139 ),
    inference(resolution,[],[f466,f949]) ).

fof(f949,plain,
    ( c0_1(a1437)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f947]) ).

fof(f947,plain,
    ( spl0_139
  <=> c0_1(a1437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2529,plain,
    ( spl0_168
    | ~ spl0_49
    | spl0_141
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2528,f963,f958,f465,f2039]) ).

fof(f2528,plain,
    ( c1_1(a1435)
    | ~ spl0_49
    | spl0_141
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f2518,f960]) ).

fof(f2518,plain,
    ( c1_1(a1435)
    | c2_1(a1435)
    | ~ spl0_49
    | ~ spl0_142 ),
    inference(resolution,[],[f466,f965]) ).

fof(f2494,plain,
    ( ~ spl0_23
    | ~ spl0_55
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f2493]) ).

fof(f2493,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_55
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f2483,f832]) ).

fof(f2483,plain,
    ( ~ c2_1(a1449)
    | ~ spl0_23
    | ~ spl0_55
    | ~ spl0_118 ),
    inference(resolution,[],[f2477,f837]) ).

fof(f2477,plain,
    ( ! [X63] :
        ( ~ c1_1(X63)
        | ~ c2_1(X63) )
    | ~ spl0_23
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f495,f351]) ).

fof(f2472,plain,
    ( ~ spl0_34
    | ~ spl0_50
    | spl0_140
    | spl0_141 ),
    inference(avatar_contradiction_clause,[],[f2471]) ).

fof(f2471,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_50
    | spl0_140
    | spl0_141 ),
    inference(subsumption_resolution,[],[f2457,f960]) ).

fof(f2457,plain,
    ( c2_1(a1435)
    | ~ spl0_34
    | ~ spl0_50
    | spl0_140 ),
    inference(resolution,[],[f2450,f955]) ).

fof(f955,plain,
    ( ~ c3_1(a1435)
    | spl0_140 ),
    inference(avatar_component_clause,[],[f953]) ).

fof(f2450,plain,
    ( ! [X49] :
        ( c3_1(X49)
        | c2_1(X49) )
    | ~ spl0_34
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f472,f396]) ).

fof(f2428,plain,
    ( ~ spl0_23
    | ~ spl0_45
    | ~ spl0_65
    | ~ spl0_67 ),
    inference(avatar_contradiction_clause,[],[f2427]) ).

fof(f2427,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_45
    | ~ spl0_65
    | ~ spl0_67 ),
    inference(subsumption_resolution,[],[f2424,f565]) ).

fof(f2424,plain,
    ( ~ c0_1(a1507)
    | ~ spl0_23
    | ~ spl0_45
    | ~ spl0_65 ),
    inference(resolution,[],[f2414,f555]) ).

fof(f2414,plain,
    ( ! [X28] :
        ( ~ c2_1(X28)
        | ~ c0_1(X28) )
    | ~ spl0_23
    | ~ spl0_45 ),
    inference(subsumption_resolution,[],[f446,f351]) ).

fof(f2401,plain,
    ( ~ spl0_43
    | spl0_131
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f2400]) ).

fof(f2400,plain,
    ( $false
    | ~ spl0_43
    | spl0_131
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f2399,f912]) ).

fof(f2399,plain,
    ( ~ c3_1(a1441)
    | ~ spl0_43
    | spl0_131
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f2390,f907]) ).

fof(f2390,plain,
    ( c1_1(a1441)
    | ~ c3_1(a1441)
    | ~ spl0_43
    | ~ spl0_133 ),
    inference(resolution,[],[f438,f917]) ).

fof(f438,plain,
    ( ! [X27] :
        ( ~ c0_1(X27)
        | c1_1(X27)
        | ~ c3_1(X27) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f437,plain,
    ( spl0_43
  <=> ! [X27] :
        ( ~ c3_1(X27)
        | c1_1(X27)
        | ~ c0_1(X27) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f2367,plain,
    ( ~ spl0_32
    | ~ spl0_39
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f2366]) ).

fof(f2366,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_39
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f2359,f912]) ).

fof(f2359,plain,
    ( ~ c3_1(a1441)
    | ~ spl0_32
    | ~ spl0_39
    | ~ spl0_133 ),
    inference(resolution,[],[f2267,f917]) ).

fof(f2267,plain,
    ( ! [X8] :
        ( ~ c0_1(X8)
        | ~ c3_1(X8) )
    | ~ spl0_32
    | ~ spl0_39 ),
    inference(subsumption_resolution,[],[f388,f419]) ).

fof(f2310,plain,
    ( ~ spl0_73
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_35
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f2304,f590,f400,f395,f350,f595]) ).

fof(f2304,plain,
    ( ~ c0_1(a1456)
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_35
    | ~ spl0_72 ),
    inference(resolution,[],[f2261,f592]) ).

fof(f2261,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_35 ),
    inference(subsumption_resolution,[],[f351,f2069]) ).

fof(f2069,plain,
    ( ! [X12] :
        ( ~ c1_1(X12)
        | c2_1(X12) )
    | ~ spl0_34
    | ~ spl0_35 ),
    inference(subsumption_resolution,[],[f401,f396]) ).

fof(f2253,plain,
    ( ~ spl0_34
    | ~ spl0_35
    | ~ spl0_55
    | spl0_89
    | ~ spl0_91 ),
    inference(avatar_contradiction_clause,[],[f2252]) ).

fof(f2252,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_35
    | ~ spl0_55
    | spl0_89
    | ~ spl0_91 ),
    inference(subsumption_resolution,[],[f2235,f683]) ).

fof(f2235,plain,
    ( c0_1(a1468)
    | ~ spl0_34
    | ~ spl0_35
    | ~ spl0_55
    | ~ spl0_91 ),
    inference(resolution,[],[f2212,f693]) ).

fof(f2212,plain,
    ( ! [X63] :
        ( ~ c1_1(X63)
        | c0_1(X63) )
    | ~ spl0_34
    | ~ spl0_35
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f495,f2069]) ).

fof(f2208,plain,
    ( spl0_149
    | ~ spl0_34
    | ~ spl0_35
    | ~ spl0_61
    | spl0_150
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2203,f1011,f1006,f527,f400,f395,f1001]) ).

fof(f2203,plain,
    ( c2_1(a1430)
    | ~ spl0_34
    | ~ spl0_35
    | ~ spl0_61
    | spl0_150
    | ~ spl0_151 ),
    inference(resolution,[],[f2016,f2069]) ).

fof(f2016,plain,
    ( c1_1(a1430)
    | ~ spl0_61
    | spl0_150
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f2007,f1008]) ).

fof(f2007,plain,
    ( c0_1(a1430)
    | c1_1(a1430)
    | ~ spl0_61
    | ~ spl0_151 ),
    inference(resolution,[],[f528,f1013]) ).

fof(f2207,plain,
    ( ~ spl0_34
    | ~ spl0_35
    | ~ spl0_61
    | spl0_149
    | spl0_150
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f2206]) ).

fof(f2206,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_35
    | ~ spl0_61
    | spl0_149
    | spl0_150
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f2203,f1003]) ).

fof(f1003,plain,
    ( ~ c2_1(a1430)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f1001]) ).

fof(f2184,plain,
    ( ~ spl0_43
    | ~ spl0_61
    | spl0_84
    | ~ spl0_85 ),
    inference(avatar_contradiction_clause,[],[f2183]) ).

fof(f2183,plain,
    ( $false
    | ~ spl0_43
    | ~ spl0_61
    | spl0_84
    | ~ spl0_85 ),
    inference(subsumption_resolution,[],[f2169,f656]) ).

fof(f656,plain,
    ( ~ c1_1(a1487)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f654]) ).

fof(f654,plain,
    ( spl0_84
  <=> c1_1(a1487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f2169,plain,
    ( c1_1(a1487)
    | ~ spl0_43
    | ~ spl0_61
    | ~ spl0_85 ),
    inference(resolution,[],[f2077,f661]) ).

fof(f2077,plain,
    ( ! [X27] :
        ( ~ c3_1(X27)
        | c1_1(X27) )
    | ~ spl0_43
    | ~ spl0_61 ),
    inference(subsumption_resolution,[],[f438,f528]) ).

fof(f2124,plain,
    ( ~ spl0_30
    | ~ spl0_39
    | ~ spl0_52
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(avatar_contradiction_clause,[],[f2123]) ).

fof(f2123,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_39
    | ~ spl0_52
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(subsumption_resolution,[],[f2121,f1941]) ).

fof(f1941,plain,
    ( ~ c3_1(a1466)
    | ~ spl0_39
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(subsumption_resolution,[],[f1938,f704]) ).

fof(f1938,plain,
    ( ~ c3_1(a1466)
    | ~ c2_1(a1466)
    | ~ spl0_39
    | ~ spl0_94 ),
    inference(resolution,[],[f419,f709]) ).

fof(f2121,plain,
    ( c3_1(a1466)
    | ~ spl0_30
    | ~ spl0_52
    | ~ spl0_94 ),
    inference(resolution,[],[f2046,f709]) ).

fof(f2046,plain,
    ( ! [X54] :
        ( ~ c0_1(X54)
        | c3_1(X54) )
    | ~ spl0_30
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f481,f379]) ).

fof(f379,plain,
    ( ! [X6] :
        ( ~ c1_1(X6)
        | c3_1(X6)
        | ~ c0_1(X6) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f378,plain,
    ( spl0_30
  <=> ! [X6] :
        ( ~ c1_1(X6)
        | c3_1(X6)
        | ~ c0_1(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f2081,plain,
    ( ~ spl0_67
    | spl0_161
    | ~ spl0_30
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f2080,f558,f378,f1419,f563]) ).

fof(f2080,plain,
    ( c3_1(a1507)
    | ~ c0_1(a1507)
    | ~ spl0_30
    | ~ spl0_66 ),
    inference(resolution,[],[f560,f379]) ).

fof(f2074,plain,
    ( ~ spl0_169
    | spl0_116
    | ~ spl0_30
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1802,f835,f378,f825,f2071]) ).

fof(f1802,plain,
    ( c3_1(a1449)
    | ~ c0_1(a1449)
    | ~ spl0_30
    | ~ spl0_118 ),
    inference(resolution,[],[f837,f379]) ).

fof(f2068,plain,
    ( ~ spl0_39
    | ~ spl0_74
    | ~ spl0_75
    | ~ spl0_76 ),
    inference(avatar_contradiction_clause,[],[f2067]) ).

fof(f2067,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_74
    | ~ spl0_75
    | ~ spl0_76 ),
    inference(subsumption_resolution,[],[f2066,f608]) ).

fof(f608,plain,
    ( c2_1(a1428)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f606,plain,
    ( spl0_75
  <=> c2_1(a1428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f2066,plain,
    ( ~ c2_1(a1428)
    | ~ spl0_39
    | ~ spl0_74
    | ~ spl0_76 ),
    inference(subsumption_resolution,[],[f2065,f603]) ).

fof(f603,plain,
    ( c3_1(a1428)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f601,plain,
    ( spl0_74
  <=> c3_1(a1428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f2065,plain,
    ( ~ c3_1(a1428)
    | ~ c2_1(a1428)
    | ~ spl0_39
    | ~ spl0_76 ),
    inference(resolution,[],[f613,f419]) ).

fof(f613,plain,
    ( c0_1(a1428)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f611]) ).

fof(f611,plain,
    ( spl0_76
  <=> c0_1(a1428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2037,plain,
    ( spl0_134
    | ~ spl0_61
    | spl0_135
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f2018,f931,f926,f527,f921]) ).

fof(f2018,plain,
    ( c1_1(a1438)
    | ~ spl0_61
    | spl0_135
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f2010,f928]) ).

fof(f2010,plain,
    ( c0_1(a1438)
    | c1_1(a1438)
    | ~ spl0_61
    | ~ spl0_136 ),
    inference(resolution,[],[f528,f933]) ).

fof(f1824,plain,
    ( ~ spl0_26
    | spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f1823]) ).

fof(f1823,plain,
    ( $false
    | ~ spl0_26
    | spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f1822,f832]) ).

fof(f1822,plain,
    ( ~ c2_1(a1449)
    | ~ spl0_26
    | spl0_116
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f1819,f827]) ).

fof(f827,plain,
    ( ~ c3_1(a1449)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f825]) ).

fof(f1819,plain,
    ( c3_1(a1449)
    | ~ c2_1(a1449)
    | ~ spl0_26
    | ~ spl0_118 ),
    inference(resolution,[],[f363,f837]) ).

fof(f1720,plain,
    ( ~ spl0_22
    | ~ spl0_30
    | ~ spl0_46
    | ~ spl0_55
    | spl0_155
    | ~ spl0_156 ),
    inference(avatar_contradiction_clause,[],[f1719]) ).

fof(f1719,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_46
    | ~ spl0_55
    | spl0_155
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f1708,f1035]) ).

fof(f1708,plain,
    ( c3_1(a1427)
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_46
    | ~ spl0_55
    | ~ spl0_156 ),
    inference(resolution,[],[f1705,f1040]) ).

fof(f1705,plain,
    ( ! [X30] :
        ( ~ c2_1(X30)
        | c3_1(X30) )
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_46
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f450,f1554]) ).

fof(f1554,plain,
    ( ! [X63] :
        ( ~ c1_1(X63)
        | ~ c2_1(X63) )
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f495,f1113]) ).

fof(f1113,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_22
    | ~ spl0_30 ),
    inference(subsumption_resolution,[],[f347,f379]) ).

fof(f1621,plain,
    ( ~ spl0_22
    | ~ spl0_30
    | ~ spl0_55
    | ~ spl0_79
    | ~ spl0_164 ),
    inference(avatar_contradiction_clause,[],[f1620]) ).

fof(f1620,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_55
    | ~ spl0_79
    | ~ spl0_164 ),
    inference(subsumption_resolution,[],[f1616,f629]) ).

fof(f1616,plain,
    ( ~ c2_1(a1517)
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_55
    | ~ spl0_164 ),
    inference(resolution,[],[f1493,f1554]) ).

fof(f1493,plain,
    ( c1_1(a1517)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1491]) ).

fof(f1615,plain,
    ( ~ spl0_117
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_55
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1609,f835,f494,f378,f346,f830]) ).

fof(f1609,plain,
    ( ~ c2_1(a1449)
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_55
    | ~ spl0_118 ),
    inference(resolution,[],[f1554,f837]) ).

fof(f1547,plain,
    ( ~ spl0_41
    | ~ spl0_46
    | spl0_92
    | ~ spl0_93 ),
    inference(avatar_contradiction_clause,[],[f1546]) ).

fof(f1546,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_46
    | spl0_92
    | ~ spl0_93 ),
    inference(subsumption_resolution,[],[f1540,f699]) ).

fof(f1540,plain,
    ( c1_1(a1466)
    | ~ spl0_41
    | ~ spl0_46
    | ~ spl0_93 ),
    inference(resolution,[],[f1518,f704]) ).

fof(f1518,plain,
    ( ! [X21] :
        ( ~ c2_1(X21)
        | c1_1(X21) )
    | ~ spl0_41
    | ~ spl0_46 ),
    inference(subsumption_resolution,[],[f428,f450]) ).

fof(f1508,plain,
    ( ~ spl0_28
    | spl0_155
    | ~ spl0_156
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f1507]) ).

fof(f1507,plain,
    ( $false
    | ~ spl0_28
    | spl0_155
    | ~ spl0_156
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f1506,f1040]) ).

fof(f1506,plain,
    ( ~ c2_1(a1427)
    | ~ spl0_28
    | spl0_155
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f1496,f1035]) ).

fof(f1496,plain,
    ( c3_1(a1427)
    | ~ c2_1(a1427)
    | ~ spl0_28
    | ~ spl0_157 ),
    inference(resolution,[],[f371,f1045]) ).

fof(f1045,plain,
    ( c0_1(a1427)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1043]) ).

fof(f1043,plain,
    ( spl0_157
  <=> c0_1(a1427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1469,plain,
    ( ~ spl0_30
    | ~ spl0_52
    | spl0_155
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f1468]) ).

fof(f1468,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_52
    | spl0_155
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f1458,f1035]) ).

fof(f1458,plain,
    ( c3_1(a1427)
    | ~ spl0_30
    | ~ spl0_52
    | ~ spl0_157 ),
    inference(resolution,[],[f1406,f1045]) ).

fof(f1406,plain,
    ( ! [X54] :
        ( ~ c0_1(X54)
        | c3_1(X54) )
    | ~ spl0_30
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f481,f379]) ).

fof(f1416,plain,
    ( ~ spl0_112
    | ~ spl0_30
    | spl0_110
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1415,f798,f793,f378,f803]) ).

fof(f803,plain,
    ( spl0_112
  <=> c0_1(a1452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1415,plain,
    ( ~ c0_1(a1452)
    | ~ spl0_30
    | spl0_110
    | ~ spl0_111 ),
    inference(subsumption_resolution,[],[f1411,f795]) ).

fof(f1411,plain,
    ( c3_1(a1452)
    | ~ c0_1(a1452)
    | ~ spl0_30
    | ~ spl0_111 ),
    inference(resolution,[],[f800,f379]) ).

fof(f1404,plain,
    ( spl0_114
    | ~ spl0_46
    | spl0_113
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1403,f819,f809,f449,f814]) ).

fof(f814,plain,
    ( spl0_114
  <=> c1_1(a1451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f809,plain,
    ( spl0_113
  <=> c3_1(a1451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f819,plain,
    ( spl0_115
  <=> c2_1(a1451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1403,plain,
    ( c1_1(a1451)
    | ~ spl0_46
    | spl0_113
    | ~ spl0_115 ),
    inference(subsumption_resolution,[],[f1384,f811]) ).

fof(f811,plain,
    ( ~ c3_1(a1451)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f809]) ).

fof(f1384,plain,
    ( c1_1(a1451)
    | c3_1(a1451)
    | ~ spl0_46
    | ~ spl0_115 ),
    inference(resolution,[],[f450,f821]) ).

fof(f821,plain,
    ( c2_1(a1451)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f819]) ).

fof(f1376,plain,
    ( ~ spl0_22
    | ~ spl0_30
    | ~ spl0_53
    | ~ spl0_61
    | spl0_150
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f1375]) ).

fof(f1375,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_53
    | ~ spl0_61
    | spl0_150
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f1368,f1008]) ).

fof(f1368,plain,
    ( c0_1(a1430)
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_53
    | ~ spl0_61
    | ~ spl0_151 ),
    inference(resolution,[],[f1367,f1013]) ).

fof(f1367,plain,
    ( ! [X91] :
        ( ~ c3_1(X91)
        | c0_1(X91) )
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_53
    | ~ spl0_61 ),
    inference(subsumption_resolution,[],[f528,f1219]) ).

fof(f1219,plain,
    ( ! [X56] :
        ( ~ c1_1(X56)
        | ~ c3_1(X56) )
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_53 ),
    inference(subsumption_resolution,[],[f485,f1113]) ).

fof(f1365,plain,
    ( ~ spl0_34
    | ~ spl0_50
    | spl0_122
    | spl0_123 ),
    inference(avatar_contradiction_clause,[],[f1364]) ).

fof(f1364,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_50
    | spl0_122
    | spl0_123 ),
    inference(subsumption_resolution,[],[f1354,f864]) ).

fof(f1354,plain,
    ( c2_1(a1447)
    | ~ spl0_34
    | ~ spl0_50
    | spl0_122 ),
    inference(resolution,[],[f1349,f859]) ).

fof(f1349,plain,
    ( ! [X49] :
        ( c3_1(X49)
        | c2_1(X49) )
    | ~ spl0_34
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f472,f396]) ).

fof(f1348,plain,
    ( ~ spl0_37
    | ~ spl0_60
    | spl0_122
    | spl0_123 ),
    inference(avatar_contradiction_clause,[],[f1347]) ).

fof(f1347,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_60
    | spl0_122
    | spl0_123 ),
    inference(subsumption_resolution,[],[f1337,f864]) ).

fof(f1337,plain,
    ( c2_1(a1447)
    | ~ spl0_37
    | ~ spl0_60
    | spl0_122 ),
    inference(resolution,[],[f1332,f859]) ).

fof(f1332,plain,
    ( ! [X86] :
        ( c3_1(X86)
        | c2_1(X86) )
    | ~ spl0_37
    | ~ spl0_60 ),
    inference(subsumption_resolution,[],[f522,f409]) ).

fof(f1346,plain,
    ( ~ spl0_37
    | ~ spl0_60
    | spl0_128
    | spl0_129 ),
    inference(avatar_contradiction_clause,[],[f1345]) ).

fof(f1345,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_60
    | spl0_128
    | spl0_129 ),
    inference(subsumption_resolution,[],[f1335,f896]) ).

fof(f1335,plain,
    ( c2_1(a1444)
    | ~ spl0_37
    | ~ spl0_60
    | spl0_128 ),
    inference(resolution,[],[f1332,f891]) ).

fof(f1306,plain,
    ( ~ spl0_21
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_35
    | ~ spl0_57
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f1299]) ).

fof(f1299,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_35
    | ~ spl0_57
    | ~ spl0_148 ),
    inference(resolution,[],[f1298,f997]) ).

fof(f1298,plain,
    ( ! [X73] : ~ c1_1(X73)
    | ~ spl0_21
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_35
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f1297,f1191]) ).

fof(f1191,plain,
    ( ! [X12] :
        ( ~ c1_1(X12)
        | ~ c3_1(X12) )
    | ~ spl0_21
    | ~ spl0_35 ),
    inference(subsumption_resolution,[],[f401,f343]) ).

fof(f1297,plain,
    ( ! [X73] :
        ( ~ c1_1(X73)
        | c3_1(X73) )
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f506,f1113]) ).

fof(f506,plain,
    ( ! [X73] :
        ( ~ c1_1(X73)
        | c0_1(X73)
        | c3_1(X73) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f505,plain,
    ( spl0_57
  <=> ! [X73] :
        ( ~ c1_1(X73)
        | c0_1(X73)
        | c3_1(X73) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1294,plain,
    ( ~ spl0_51
    | ~ spl0_56
    | spl0_78
    | ~ spl0_79 ),
    inference(avatar_contradiction_clause,[],[f1293]) ).

fof(f1293,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_56
    | spl0_78
    | ~ spl0_79 ),
    inference(subsumption_resolution,[],[f1281,f624]) ).

fof(f624,plain,
    ( ~ c0_1(a1517)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f1281,plain,
    ( c0_1(a1517)
    | ~ spl0_51
    | ~ spl0_56
    | ~ spl0_79 ),
    inference(resolution,[],[f1270,f629]) ).

fof(f1270,plain,
    ( ! [X72] :
        ( ~ c2_1(X72)
        | c0_1(X72) )
    | ~ spl0_51
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f502,f477]) ).

fof(f1292,plain,
    ( ~ spl0_51
    | ~ spl0_56
    | spl0_80
    | ~ spl0_81 ),
    inference(avatar_contradiction_clause,[],[f1291]) ).

fof(f1291,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_56
    | spl0_80
    | ~ spl0_81 ),
    inference(subsumption_resolution,[],[f1280,f635]) ).

fof(f1280,plain,
    ( c0_1(a1504)
    | ~ spl0_51
    | ~ spl0_56
    | ~ spl0_81 ),
    inference(resolution,[],[f1270,f640]) ).

fof(f1265,plain,
    ( ~ spl0_22
    | ~ spl0_30
    | ~ spl0_55
    | ~ spl0_91
    | ~ spl0_159 ),
    inference(avatar_contradiction_clause,[],[f1264]) ).

fof(f1264,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_55
    | ~ spl0_91
    | ~ spl0_159 ),
    inference(subsumption_resolution,[],[f1259,f1215]) ).

fof(f1215,plain,
    ( c2_1(a1468)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1214]) ).

fof(f1259,plain,
    ( ~ c2_1(a1468)
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_55
    | ~ spl0_91 ),
    inference(resolution,[],[f1257,f693]) ).

fof(f1257,plain,
    ( ! [X63] :
        ( ~ c1_1(X63)
        | ~ c2_1(X63) )
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f495,f1113]) ).

fof(f1212,plain,
    ( ~ spl0_103
    | spl0_158
    | ~ spl0_30
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1204,f750,f378,f1209,f755]) ).

fof(f1204,plain,
    ( c3_1(a1458)
    | ~ c0_1(a1458)
    | ~ spl0_30
    | ~ spl0_102 ),
    inference(resolution,[],[f752,f379]) ).

fof(f1206,plain,
    ( ~ spl0_103
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1202,f750,f378,f346,f755]) ).

fof(f1202,plain,
    ( ~ c0_1(a1458)
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_102 ),
    inference(resolution,[],[f752,f1113]) ).

fof(f1148,plain,
    ( spl0_119
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_49
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1143,f851,f465,f378,f346,f841]) ).

fof(f1143,plain,
    ( c2_1(a1448)
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_49
    | ~ spl0_121 ),
    inference(resolution,[],[f1142,f853]) ).

fof(f1142,plain,
    ( ! [X43] :
        ( ~ c0_1(X43)
        | c2_1(X43) )
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_49 ),
    inference(subsumption_resolution,[],[f466,f1113]) ).

fof(f1139,plain,
    ( ~ spl0_21
    | ~ spl0_41
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(avatar_contradiction_clause,[],[f1138]) ).

fof(f1138,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_41
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(subsumption_resolution,[],[f1136,f608]) ).

fof(f1136,plain,
    ( ~ c2_1(a1428)
    | ~ spl0_21
    | ~ spl0_41
    | ~ spl0_74 ),
    inference(resolution,[],[f1128,f603]) ).

fof(f1128,plain,
    ( ! [X21] :
        ( ~ c3_1(X21)
        | ~ c2_1(X21) )
    | ~ spl0_21
    | ~ spl0_41 ),
    inference(subsumption_resolution,[],[f428,f343]) ).

fof(f1111,plain,
    ( ~ spl0_47
    | spl0_83
    | spl0_84
    | ~ spl0_85 ),
    inference(avatar_contradiction_clause,[],[f1110]) ).

fof(f1110,plain,
    ( $false
    | ~ spl0_47
    | spl0_83
    | spl0_84
    | ~ spl0_85 ),
    inference(subsumption_resolution,[],[f1109,f651]) ).

fof(f1109,plain,
    ( c2_1(a1487)
    | ~ spl0_47
    | spl0_84
    | ~ spl0_85 ),
    inference(subsumption_resolution,[],[f1104,f656]) ).

fof(f1104,plain,
    ( c1_1(a1487)
    | c2_1(a1487)
    | ~ spl0_47
    | ~ spl0_85 ),
    inference(resolution,[],[f454,f661]) ).

fof(f1086,plain,
    ( ~ spl0_32
    | spl0_119
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f1085]) ).

fof(f1085,plain,
    ( $false
    | ~ spl0_32
    | spl0_119
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f1084,f848]) ).

fof(f1084,plain,
    ( ~ c3_1(a1448)
    | ~ spl0_32
    | spl0_119
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f1081,f843]) ).

fof(f1081,plain,
    ( c2_1(a1448)
    | ~ c3_1(a1448)
    | ~ spl0_32
    | ~ spl0_121 ),
    inference(resolution,[],[f388,f853]) ).

fof(f1072,plain,
    ( ~ spl0_22
    | ~ spl0_30
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(avatar_contradiction_clause,[],[f1071]) ).

fof(f1071,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(subsumption_resolution,[],[f1070,f565]) ).

fof(f1070,plain,
    ( ~ c0_1(a1507)
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_66 ),
    inference(resolution,[],[f1069,f560]) ).

fof(f1069,plain,
    ( ! [X6] :
        ( ~ c1_1(X6)
        | ~ c0_1(X6) )
    | ~ spl0_22
    | ~ spl0_30 ),
    inference(subsumption_resolution,[],[f379,f347]) ).

fof(f1068,plain,
    ( ~ spl0_21
    | ~ spl0_28
    | ~ spl0_65
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(avatar_contradiction_clause,[],[f1067]) ).

fof(f1067,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_28
    | ~ spl0_65
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(subsumption_resolution,[],[f1066,f555]) ).

fof(f1066,plain,
    ( ~ c2_1(a1507)
    | ~ spl0_21
    | ~ spl0_28
    | ~ spl0_65
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(subsumption_resolution,[],[f1063,f1050]) ).

fof(f1050,plain,
    ( ~ c3_1(a1507)
    | ~ spl0_21
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(subsumption_resolution,[],[f1048,f555]) ).

fof(f1048,plain,
    ( ~ c3_1(a1507)
    | ~ c2_1(a1507)
    | ~ spl0_21
    | ~ spl0_66 ),
    inference(resolution,[],[f343,f560]) ).

fof(f1063,plain,
    ( c3_1(a1507)
    | ~ c2_1(a1507)
    | ~ spl0_28
    | ~ spl0_67 ),
    inference(resolution,[],[f371,f565]) ).

fof(f1062,plain,
    ( ~ spl0_21
    | ~ spl0_26
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(avatar_contradiction_clause,[],[f1061]) ).

fof(f1061,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_26
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(subsumption_resolution,[],[f1060,f555]) ).

fof(f1060,plain,
    ( ~ c2_1(a1507)
    | ~ spl0_21
    | ~ spl0_26
    | ~ spl0_66 ),
    inference(resolution,[],[f1059,f560]) ).

fof(f1059,plain,
    ( ! [X4] :
        ( ~ c1_1(X4)
        | ~ c2_1(X4) )
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f363,f343]) ).

fof(f1058,plain,
    ( ~ spl0_23
    | ~ spl0_65
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(avatar_contradiction_clause,[],[f1057]) ).

fof(f1057,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_65
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(subsumption_resolution,[],[f1056,f555]) ).

fof(f1056,plain,
    ( ~ c2_1(a1507)
    | ~ spl0_23
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(subsumption_resolution,[],[f1055,f565]) ).

fof(f1055,plain,
    ( ~ c0_1(a1507)
    | ~ c2_1(a1507)
    | ~ spl0_23
    | ~ spl0_66 ),
    inference(resolution,[],[f351,f560]) ).

fof(f1053,plain,
    ( ~ spl0_21
    | ~ spl0_68
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(avatar_contradiction_clause,[],[f1052]) ).

fof(f1052,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_68
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(subsumption_resolution,[],[f1051,f576]) ).

fof(f576,plain,
    ( c2_1(a1483)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f574]) ).

fof(f574,plain,
    ( spl0_69
  <=> c2_1(a1483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1051,plain,
    ( ~ c2_1(a1483)
    | ~ spl0_21
    | ~ spl0_68
    | ~ spl0_70 ),
    inference(subsumption_resolution,[],[f1049,f571]) ).

fof(f571,plain,
    ( c3_1(a1483)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f569,plain,
    ( spl0_68
  <=> c3_1(a1483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1049,plain,
    ( ~ c3_1(a1483)
    | ~ c2_1(a1483)
    | ~ spl0_21
    | ~ spl0_70 ),
    inference(resolution,[],[f343,f581]) ).

fof(f581,plain,
    ( c1_1(a1483)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f579]) ).

fof(f579,plain,
    ( spl0_70
  <=> c1_1(a1483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1046,plain,
    ( ~ spl0_12
    | spl0_157 ),
    inference(avatar_split_clause,[],[f8,f1043,f302]) ).

fof(f302,plain,
    ( spl0_12
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f8,plain,
    ( c0_1(a1427)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp17
      | hskp3
      | hskp22 )
    & ( hskp17
      | hskp2
      | hskp25 )
    & ( hskp1
      | hskp10
      | hskp12 )
    & ( hskp19
      | hskp14
      | hskp8 )
    & ( hskp14
      | hskp12
      | hskp8 )
    & ( hskp26
      | hskp29
      | hskp0 )
    & ( hskp13
      | hskp27
      | hskp15 )
    & ( hskp24
      | hskp30 )
    & ( hskp3
      | hskp8
      | hskp30 )
    & ( hskp13
      | hskp25
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp0
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp21
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp12
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c0_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp16
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp22
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp5
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c0_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp0
      | ! [X9] :
          ( ~ c1_1(X9)
          | c3_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c1_1(X11)
          | c3_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c1_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp4
      | ! [X14] :
          ( ~ c0_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp4
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp5
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X19] :
          ( ~ c1_1(X19)
          | c3_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c0_1(X20)
          | c3_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp20
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c2_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X22] :
          ( ~ c2_1(X22)
          | ~ c0_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c2_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X24] :
          ( ~ c1_1(X24)
          | ~ c0_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c2_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | ~ c1_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c0_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp0
      | ! [X28] :
          ( ~ c2_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c1_1(X29)
          | ~ c0_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c2_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp22
      | ! [X31] :
          ( ~ c3_1(X31)
          | c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c1_1(X32)
          | ~ c0_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c3_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [X34] :
          ( ~ c3_1(X34)
          | ~ c2_1(X34)
          | ~ c0_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c1_1(X35)
          | ~ c0_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X37] :
          ( ~ c3_1(X37)
          | ~ c0_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c3_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( ! [X39] :
          ( ~ c2_1(X39)
          | ~ c1_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c3_1(X40)
          | ~ c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X42] :
          ( ~ c2_1(X42)
          | ~ c0_1(X42)
          | c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c0_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X44] :
          ( ~ c2_1(X44)
          | ~ c0_1(X44)
          | c3_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c0_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X46] :
          ( ~ c1_1(X46)
          | ~ c0_1(X46)
          | c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c0_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c3_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X50] :
          ( ~ c2_1(X50)
          | ~ c0_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c3_1(X51)
          | c2_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c1_1(X52)
          | c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X54] :
          ( ~ c0_1(X54)
          | c3_1(X54)
          | c1_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp3
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c2_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c0_1(X59)
          | c2_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X61] :
          ( ~ c1_1(X61)
          | ~ c0_1(X61)
          | c2_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp16
      | ! [X63] :
          ( ~ c2_1(X63)
          | ~ c1_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( ~ c0_1(X64)
          | c3_1(X64)
          | c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c2_1(X65)
          | c3_1(X65)
          | c1_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c2_1(X66)
          | ~ c1_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X67] :
          ( ~ c0_1(X67)
          | c3_1(X67)
          | c1_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c2_1(X68)
          | ~ c1_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X69] :
          ( ~ c3_1(X69)
          | ~ c2_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | ~ c1_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X71] :
          ( ~ c2_1(X71)
          | ~ c1_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c2_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp13
      | ! [X73] :
          ( ~ c1_1(X73)
          | c3_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X74] :
          ( ~ c1_1(X74)
          | c3_1(X74)
          | c2_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | c3_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp5
      | ! [X76] :
          ( ~ c3_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X77] :
          ( ~ c1_1(X77)
          | ~ c0_1(X77)
          | c2_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( ! [X79] :
          ( ~ c2_1(X79)
          | c3_1(X79)
          | c1_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c0_1(X80)
          | c2_1(X80)
          | c1_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X82] :
          ( ~ c2_1(X82)
          | c3_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c3_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X84] :
          ( ~ c3_1(X84)
          | ~ c1_1(X84)
          | ~ c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c1_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp8
      | ! [X86] :
          ( c3_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c1_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c3_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X89] :
          ( c3_1(X89)
          | c2_1(X89)
          | c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c3_1(X90)
          | c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp6
      | ! [X91] :
          ( ~ c3_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X92] :
          ( ~ c3_1(X92)
          | ~ c0_1(X92)
          | c2_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X94] :
          ( ~ c2_1(X94)
          | c3_1(X94)
          | c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c3_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( ! [X96] :
          ( ~ c2_1(X96)
          | c3_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c3_1(X97)
          | c2_1(X97)
          | c1_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c3_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp0
      | ! [X99] :
          ( ~ c2_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( ! [X100] :
          ( ~ c3_1(X100)
          | ~ c2_1(X100)
          | ~ c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c3_1(X101)
          | ~ c2_1(X101)
          | c1_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c2_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X103] :
          ( ~ c3_1(X103)
          | ~ c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( ! [X105] :
          ( ~ c3_1(X105)
          | ~ c0_1(X105)
          | c2_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c3_1(X106)
          | ~ c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( ~ c2_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( ! [X108] :
          ( ~ c1_1(X108)
          | c3_1(X108)
          | c2_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c3_1(X109)
          | c2_1(X109)
          | c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c3_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X111] :
          ( ~ c3_1(X111)
          | ~ c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c3_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X113] :
          ( c2_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X114] :
          ( ~ c3_1(X114)
          | ~ c2_1(X114)
          | ~ c1_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X116] :
          ( ~ c0_1(X116)
          | c3_1(X116)
          | c2_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( c2_1(X117)
          | c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 ) )
    & ( ! [X118] :
          ( ~ c2_1(X118)
          | ~ c0_1(X118)
          | c1_1(X118)
          | ~ ndr1_0 )
      | ! [X119] :
          ( ~ c0_1(X119)
          | c3_1(X119)
          | c1_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( c2_1(X120)
          | c1_1(X120)
          | c0_1(X120)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a1507)
        & c1_1(a1507)
        & c0_1(a1507)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a1483)
        & c2_1(a1483)
        & c1_1(a1483)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a1456)
        & c1_1(a1456)
        & c0_1(a1456)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a1428)
        & c2_1(a1428)
        & c0_1(a1428)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a1517)
        & ~ c0_1(a1517)
        & c2_1(a1517)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a1504)
        & c2_1(a1504)
        & c1_1(a1504)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a1487)
        & ~ c1_1(a1487)
        & c3_1(a1487)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a1477)
        & ~ c0_1(a1477)
        & c2_1(a1477)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a1468)
        & c3_1(a1468)
        & c1_1(a1468)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a1466)
        & c2_1(a1466)
        & c0_1(a1466)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c1_1(a1465)
        & c3_1(a1465)
        & c2_1(a1465)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a1460)
        & ~ c1_1(a1460)
        & ~ c0_1(a1460)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a1458)
        & c1_1(a1458)
        & c0_1(a1458)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a1457)
        & ~ c1_1(a1457)
        & ~ c0_1(a1457)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a1454)
        & ~ c0_1(a1454)
        & c1_1(a1454)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a1452)
        & c1_1(a1452)
        & c0_1(a1452)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a1451)
        & ~ c1_1(a1451)
        & c2_1(a1451)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a1449)
        & c2_1(a1449)
        & c1_1(a1449)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a1448)
        & c3_1(a1448)
        & c0_1(a1448)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a1447)
        & ~ c2_1(a1447)
        & ~ c0_1(a1447)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a1445)
        & ~ c1_1(a1445)
        & c0_1(a1445)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a1444)
        & ~ c2_1(a1444)
        & ~ c1_1(a1444)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a1441)
        & c3_1(a1441)
        & c0_1(a1441)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a1438)
        & ~ c0_1(a1438)
        & c3_1(a1438)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a1437)
        & ~ c1_1(a1437)
        & c0_1(a1437)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a1435)
        & ~ c2_1(a1435)
        & c0_1(a1435)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a1434)
        & c3_1(a1434)
        & c1_1(a1434)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a1431)
        & ~ c0_1(a1431)
        & c1_1(a1431)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a1430)
        & ~ c0_1(a1430)
        & c3_1(a1430)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c0_1(a1429)
        & c3_1(a1429)
        & c2_1(a1429)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a1427)
        & c2_1(a1427)
        & c0_1(a1427)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp17
      | hskp3
      | hskp22 )
    & ( hskp17
      | hskp2
      | hskp25 )
    & ( hskp1
      | hskp10
      | hskp12 )
    & ( hskp19
      | hskp14
      | hskp8 )
    & ( hskp14
      | hskp12
      | hskp8 )
    & ( hskp26
      | hskp29
      | hskp0 )
    & ( hskp13
      | hskp27
      | hskp15 )
    & ( hskp24
      | hskp30 )
    & ( hskp3
      | hskp8
      | hskp30 )
    & ( hskp13
      | hskp25
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp0
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp21
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp12
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c0_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp16
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp22
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp5
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c0_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp0
      | ! [X9] :
          ( ~ c1_1(X9)
          | c3_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c1_1(X11)
          | c3_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c1_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp4
      | ! [X14] :
          ( ~ c0_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp4
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp5
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X19] :
          ( ~ c1_1(X19)
          | c3_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c0_1(X20)
          | c3_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp20
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c2_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X22] :
          ( ~ c2_1(X22)
          | ~ c0_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c2_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X24] :
          ( ~ c1_1(X24)
          | ~ c0_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c2_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | ~ c1_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c0_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp0
      | ! [X28] :
          ( ~ c2_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c1_1(X29)
          | ~ c0_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c2_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp22
      | ! [X31] :
          ( ~ c3_1(X31)
          | c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c1_1(X32)
          | ~ c0_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c3_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [X34] :
          ( ~ c3_1(X34)
          | ~ c2_1(X34)
          | ~ c0_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c1_1(X35)
          | ~ c0_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X37] :
          ( ~ c3_1(X37)
          | ~ c0_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c3_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( ! [X39] :
          ( ~ c2_1(X39)
          | ~ c1_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c3_1(X40)
          | ~ c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X42] :
          ( ~ c2_1(X42)
          | ~ c0_1(X42)
          | c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c0_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X44] :
          ( ~ c2_1(X44)
          | ~ c0_1(X44)
          | c3_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c0_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X46] :
          ( ~ c1_1(X46)
          | ~ c0_1(X46)
          | c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c0_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c3_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X50] :
          ( ~ c2_1(X50)
          | ~ c0_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c3_1(X51)
          | c2_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c1_1(X52)
          | c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X54] :
          ( ~ c0_1(X54)
          | c3_1(X54)
          | c1_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp3
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c2_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c0_1(X59)
          | c2_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X61] :
          ( ~ c1_1(X61)
          | ~ c0_1(X61)
          | c2_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp16
      | ! [X63] :
          ( ~ c2_1(X63)
          | ~ c1_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( ~ c0_1(X64)
          | c3_1(X64)
          | c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c2_1(X65)
          | c3_1(X65)
          | c1_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c2_1(X66)
          | ~ c1_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X67] :
          ( ~ c0_1(X67)
          | c3_1(X67)
          | c1_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c2_1(X68)
          | ~ c1_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X69] :
          ( ~ c3_1(X69)
          | ~ c2_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | ~ c1_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X71] :
          ( ~ c2_1(X71)
          | ~ c1_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c2_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp13
      | ! [X73] :
          ( ~ c1_1(X73)
          | c3_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X74] :
          ( ~ c1_1(X74)
          | c3_1(X74)
          | c2_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | c3_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp5
      | ! [X76] :
          ( ~ c3_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X77] :
          ( ~ c1_1(X77)
          | ~ c0_1(X77)
          | c2_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( ! [X79] :
          ( ~ c2_1(X79)
          | c3_1(X79)
          | c1_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c0_1(X80)
          | c2_1(X80)
          | c1_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X82] :
          ( ~ c2_1(X82)
          | c3_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c3_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X84] :
          ( ~ c3_1(X84)
          | ~ c1_1(X84)
          | ~ c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c1_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp8
      | ! [X86] :
          ( c3_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c1_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c3_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X89] :
          ( c3_1(X89)
          | c2_1(X89)
          | c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c3_1(X90)
          | c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp6
      | ! [X91] :
          ( ~ c3_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X92] :
          ( ~ c3_1(X92)
          | ~ c0_1(X92)
          | c2_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X94] :
          ( ~ c2_1(X94)
          | c3_1(X94)
          | c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c3_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( ! [X96] :
          ( ~ c2_1(X96)
          | c3_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c3_1(X97)
          | c2_1(X97)
          | c1_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c3_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp0
      | ! [X99] :
          ( ~ c2_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( ! [X100] :
          ( ~ c3_1(X100)
          | ~ c2_1(X100)
          | ~ c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c3_1(X101)
          | ~ c2_1(X101)
          | c1_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c2_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X103] :
          ( ~ c3_1(X103)
          | ~ c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( ! [X105] :
          ( ~ c3_1(X105)
          | ~ c0_1(X105)
          | c2_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c3_1(X106)
          | ~ c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( ~ c2_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( ! [X108] :
          ( ~ c1_1(X108)
          | c3_1(X108)
          | c2_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c3_1(X109)
          | c2_1(X109)
          | c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c3_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X111] :
          ( ~ c3_1(X111)
          | ~ c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c3_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X113] :
          ( c2_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X114] :
          ( ~ c3_1(X114)
          | ~ c2_1(X114)
          | ~ c1_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X116] :
          ( ~ c0_1(X116)
          | c3_1(X116)
          | c2_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( c2_1(X117)
          | c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 ) )
    & ( ! [X118] :
          ( ~ c2_1(X118)
          | ~ c0_1(X118)
          | c1_1(X118)
          | ~ ndr1_0 )
      | ! [X119] :
          ( ~ c0_1(X119)
          | c3_1(X119)
          | c1_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( c2_1(X120)
          | c1_1(X120)
          | c0_1(X120)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a1507)
        & c1_1(a1507)
        & c0_1(a1507)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a1483)
        & c2_1(a1483)
        & c1_1(a1483)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a1456)
        & c1_1(a1456)
        & c0_1(a1456)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a1428)
        & c2_1(a1428)
        & c0_1(a1428)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a1517)
        & ~ c0_1(a1517)
        & c2_1(a1517)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a1504)
        & c2_1(a1504)
        & c1_1(a1504)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a1487)
        & ~ c1_1(a1487)
        & c3_1(a1487)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a1477)
        & ~ c0_1(a1477)
        & c2_1(a1477)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a1468)
        & c3_1(a1468)
        & c1_1(a1468)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a1466)
        & c2_1(a1466)
        & c0_1(a1466)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c1_1(a1465)
        & c3_1(a1465)
        & c2_1(a1465)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a1460)
        & ~ c1_1(a1460)
        & ~ c0_1(a1460)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a1458)
        & c1_1(a1458)
        & c0_1(a1458)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a1457)
        & ~ c1_1(a1457)
        & ~ c0_1(a1457)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a1454)
        & ~ c0_1(a1454)
        & c1_1(a1454)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a1452)
        & c1_1(a1452)
        & c0_1(a1452)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a1451)
        & ~ c1_1(a1451)
        & c2_1(a1451)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a1449)
        & c2_1(a1449)
        & c1_1(a1449)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a1448)
        & c3_1(a1448)
        & c0_1(a1448)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a1447)
        & ~ c2_1(a1447)
        & ~ c0_1(a1447)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a1445)
        & ~ c1_1(a1445)
        & c0_1(a1445)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a1444)
        & ~ c2_1(a1444)
        & ~ c1_1(a1444)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a1441)
        & c3_1(a1441)
        & c0_1(a1441)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a1438)
        & ~ c0_1(a1438)
        & c3_1(a1438)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a1437)
        & ~ c1_1(a1437)
        & c0_1(a1437)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a1435)
        & ~ c2_1(a1435)
        & c0_1(a1435)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a1434)
        & c3_1(a1434)
        & c1_1(a1434)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a1431)
        & ~ c0_1(a1431)
        & c1_1(a1431)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a1430)
        & ~ c0_1(a1430)
        & c3_1(a1430)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c0_1(a1429)
        & c3_1(a1429)
        & c2_1(a1429)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a1427)
        & c2_1(a1427)
        & c0_1(a1427)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp17
      | hskp3
      | hskp22 )
    & ( hskp17
      | hskp2
      | hskp25 )
    & ( hskp1
      | hskp10
      | hskp12 )
    & ( hskp19
      | hskp14
      | hskp8 )
    & ( hskp14
      | hskp12
      | hskp8 )
    & ( hskp26
      | hskp29
      | hskp0 )
    & ( hskp13
      | hskp27
      | hskp15 )
    & ( hskp24
      | hskp30 )
    & ( hskp3
      | hskp8
      | hskp30 )
    & ( hskp13
      | hskp25
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp25
      | hskp0
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c1_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp9
      | hskp21
      | ! [X2] :
          ( ndr1_0
         => ( ~ c2_1(X2)
            | ~ c1_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp23
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | c3_1(X4) ) ) )
    & ( hskp11
      | hskp12
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c0_1(X5)
            | c3_1(X5) ) ) )
    & ( hskp14
      | hskp16
      | ! [X6] :
          ( ndr1_0
         => ( ~ c1_1(X6)
            | ~ c0_1(X6)
            | c3_1(X6) ) ) )
    & ( hskp3
      | hskp22
      | ! [X7] :
          ( ndr1_0
         => ( ~ c1_1(X7)
            | ~ c0_1(X7)
            | c3_1(X7) ) ) )
    & ( hskp17
      | hskp5
      | ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c0_1(X8)
            | c2_1(X8) ) ) )
    & ( hskp3
      | hskp0
      | ! [X9] :
          ( ndr1_0
         => ( ~ c1_1(X9)
            | c3_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp12
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c1_1(X10)
            | c3_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | c3_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp7
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c1_1(X12)
            | c2_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c1_1(X13)
            | c3_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp24
      | hskp4
      | ! [X14] :
          ( ndr1_0
         => ( ~ c0_1(X14)
            | c3_1(X14)
            | c2_1(X14) ) ) )
    & ( hskp7
      | hskp4
      | ! [X15] :
          ( ndr1_0
         => ( ~ c0_1(X15)
            | c3_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp29
      | hskp5
      | ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | c3_1(X16)
            | c2_1(X16) ) ) )
    & ( hskp11
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c2_1(X17)
            | ~ c0_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c0_1(X18)
            | c3_1(X18)
            | c2_1(X18) ) ) )
    & ( hskp18
      | ! [X19] :
          ( ndr1_0
         => ( ~ c1_1(X19)
            | c3_1(X19)
            | c2_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c0_1(X20)
            | c3_1(X20)
            | c2_1(X20) ) ) )
    & ( hskp11
      | hskp20
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c2_1(X21)
            | c1_1(X21) ) ) )
    & ( hskp23
      | ! [X22] :
          ( ndr1_0
         => ( ~ c2_1(X22)
            | ~ c0_1(X22)
            | c3_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c2_1(X23)
            | c1_1(X23) ) ) )
    & ( hskp8
      | ! [X24] :
          ( ndr1_0
         => ( ~ c1_1(X24)
            | ~ c0_1(X24)
            | c3_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | ~ c2_1(X25)
            | c1_1(X25) ) ) )
    & ( hskp28
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c2_1(X26)
            | ~ c1_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c0_1(X27)
            | c1_1(X27) ) ) )
    & ( hskp11
      | hskp0
      | ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | ~ c0_1(X28)
            | c1_1(X28) ) ) )
    & ( hskp13
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | ~ c1_1(X29)
            | ~ c0_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | c3_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp9
      | hskp22
      | ! [X31] :
          ( ndr1_0
         => ( ~ c3_1(X31)
            | c2_1(X31)
            | c1_1(X31) ) ) )
    & ( hskp6
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | ~ c1_1(X32)
            | ~ c0_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c3_1(X33)
            | c2_1(X33)
            | c1_1(X33) ) ) )
    & ( ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | ~ c2_1(X34)
            | ~ c0_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c1_1(X35)
            | ~ c0_1(X35)
            | c3_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | c2_1(X36)
            | c1_1(X36) ) ) )
    & ( hskp22
      | ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | ~ c0_1(X37)
            | c2_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | c2_1(X38)
            | c1_1(X38) ) ) )
    & ( ! [X39] :
          ( ndr1_0
         => ( ~ c2_1(X39)
            | ~ c1_1(X39)
            | ~ c0_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | ~ c2_1(X40)
            | c1_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | c2_1(X41)
            | c1_1(X41) ) ) )
    & ( hskp19
      | ! [X42] :
          ( ndr1_0
         => ( ~ c2_1(X42)
            | ~ c0_1(X42)
            | c3_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c0_1(X43)
            | c2_1(X43)
            | c1_1(X43) ) ) )
    & ( hskp21
      | ! [X44] :
          ( ndr1_0
         => ( ~ c2_1(X44)
            | ~ c0_1(X44)
            | c3_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c0_1(X45)
            | c2_1(X45)
            | c1_1(X45) ) ) )
    & ( hskp20
      | ! [X46] :
          ( ndr1_0
         => ( ~ c1_1(X46)
            | ~ c0_1(X46)
            | c3_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c0_1(X47)
            | c2_1(X47)
            | c1_1(X47) ) ) )
    & ( hskp7
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c2_1(X48)
            | ~ c1_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( c3_1(X49)
            | c2_1(X49)
            | c1_1(X49) ) ) )
    & ( hskp17
      | ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | ~ c0_1(X50)
            | c1_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( c3_1(X51)
            | c2_1(X51)
            | c1_1(X51) ) ) )
    & ( hskp12
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c1_1(X52)
            | c2_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c2_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp12
      | ! [X54] :
          ( ndr1_0
         => ( ~ c0_1(X54)
            | c3_1(X54)
            | c1_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c2_1(X55)
            | c0_1(X55) ) ) )
    & ( hskp19
      | hskp3
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp18
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c2_1(X57)
            | ~ c0_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c1_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp17
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c0_1(X59)
            | c2_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | ~ c1_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp28
      | ! [X61] :
          ( ndr1_0
         => ( ~ c1_1(X61)
            | ~ c0_1(X61)
            | c2_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c1_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp7
      | hskp16
      | ! [X63] :
          ( ndr1_0
         => ( ~ c2_1(X63)
            | ~ c1_1(X63)
            | c0_1(X63) ) ) )
    & ( ! [X64] :
          ( ndr1_0
         => ( ~ c0_1(X64)
            | c3_1(X64)
            | c2_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | c3_1(X65)
            | c1_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c2_1(X66)
            | ~ c1_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp7
      | ! [X67] :
          ( ndr1_0
         => ( ~ c0_1(X67)
            | c3_1(X67)
            | c1_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | ~ c1_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp15
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | ~ c2_1(X69)
            | c0_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | ~ c1_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp14
      | ! [X71] :
          ( ndr1_0
         => ( ~ c2_1(X71)
            | ~ c1_1(X71)
            | c0_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c2_1(X72)
            | c3_1(X72)
            | c0_1(X72) ) ) )
    & ( hskp1
      | hskp13
      | ! [X73] :
          ( ndr1_0
         => ( ~ c1_1(X73)
            | c3_1(X73)
            | c0_1(X73) ) ) )
    & ( hskp12
      | ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | c3_1(X74)
            | c2_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | c3_1(X75)
            | c0_1(X75) ) ) )
    & ( hskp11
      | hskp5
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | c2_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp10
      | ! [X77] :
          ( ndr1_0
         => ( ~ c1_1(X77)
            | ~ c0_1(X77)
            | c2_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | c2_1(X78)
            | c0_1(X78) ) ) )
    & ( ! [X79] :
          ( ndr1_0
         => ( ~ c2_1(X79)
            | c3_1(X79)
            | c1_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c0_1(X80)
            | c2_1(X80)
            | c1_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | c2_1(X81)
            | c0_1(X81) ) ) )
    & ( hskp9
      | ! [X82] :
          ( ndr1_0
         => ( ~ c2_1(X82)
            | c3_1(X82)
            | c0_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | c2_1(X83)
            | c0_1(X83) ) ) )
    & ( hskp0
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | ~ c1_1(X84)
            | ~ c0_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c1_1(X85)
            | c2_1(X85)
            | c0_1(X85) ) ) )
    & ( hskp7
      | hskp8
      | ! [X86] :
          ( ndr1_0
         => ( c3_1(X86)
            | c2_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp0
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c1_1(X87)
            | c2_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( c3_1(X88)
            | c2_1(X88)
            | c0_1(X88) ) ) )
    & ( hskp2
      | ! [X89] :
          ( ndr1_0
         => ( c3_1(X89)
            | c2_1(X89)
            | c1_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( c3_1(X90)
            | c2_1(X90)
            | c0_1(X90) ) ) )
    & ( hskp7
      | hskp6
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | c1_1(X91)
            | c0_1(X91) ) ) )
    & ( hskp5
      | ! [X92] :
          ( ndr1_0
         => ( ~ c3_1(X92)
            | ~ c0_1(X92)
            | c2_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | c1_1(X93)
            | c0_1(X93) ) ) )
    & ( hskp5
      | ! [X94] :
          ( ndr1_0
         => ( ~ c2_1(X94)
            | c3_1(X94)
            | c1_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | c1_1(X95)
            | c0_1(X95) ) ) )
    & ( ! [X96] :
          ( ndr1_0
         => ( ~ c2_1(X96)
            | c3_1(X96)
            | c1_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( c3_1(X97)
            | c2_1(X97)
            | c1_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | c1_1(X98)
            | c0_1(X98) ) ) )
    & ( hskp4
      | hskp0
      | ! [X99] :
          ( ndr1_0
         => ( ~ c2_1(X99)
            | c1_1(X99)
            | c0_1(X99) ) ) )
    & ( ! [X100] :
          ( ndr1_0
         => ( ~ c3_1(X100)
            | ~ c2_1(X100)
            | ~ c0_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | ~ c2_1(X101)
            | c1_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c2_1(X102)
            | c1_1(X102)
            | c0_1(X102) ) ) )
    & ( hskp0
      | ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | ~ c1_1(X103)
            | c0_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( ~ c2_1(X104)
            | c1_1(X104)
            | c0_1(X104) ) ) )
    & ( ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | ~ c0_1(X105)
            | c2_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c3_1(X106)
            | ~ c1_1(X106)
            | c0_1(X106) ) )
      | ! [X107] :
          ( ndr1_0
         => ( ~ c2_1(X107)
            | c1_1(X107)
            | c0_1(X107) ) ) )
    & ( ! [X108] :
          ( ndr1_0
         => ( ~ c1_1(X108)
            | c3_1(X108)
            | c2_1(X108) ) )
      | ! [X109] :
          ( ndr1_0
         => ( c3_1(X109)
            | c2_1(X109)
            | c1_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( c3_1(X110)
            | c1_1(X110)
            | c0_1(X110) ) ) )
    & ( hskp3
      | ! [X111] :
          ( ndr1_0
         => ( ~ c3_1(X111)
            | ~ c1_1(X111)
            | c0_1(X111) ) )
      | ! [X112] :
          ( ndr1_0
         => ( c3_1(X112)
            | c1_1(X112)
            | c0_1(X112) ) ) )
    & ( hskp2
      | hskp1
      | ! [X113] :
          ( ndr1_0
         => ( c2_1(X113)
            | c1_1(X113)
            | c0_1(X113) ) ) )
    & ( hskp27
      | ! [X114] :
          ( ndr1_0
         => ( ~ c3_1(X114)
            | ~ c2_1(X114)
            | ~ c1_1(X114) ) )
      | ! [X115] :
          ( ndr1_0
         => ( c2_1(X115)
            | c1_1(X115)
            | c0_1(X115) ) ) )
    & ( hskp0
      | ! [X116] :
          ( ndr1_0
         => ( ~ c0_1(X116)
            | c3_1(X116)
            | c2_1(X116) ) )
      | ! [X117] :
          ( ndr1_0
         => ( c2_1(X117)
            | c1_1(X117)
            | c0_1(X117) ) ) )
    & ( ! [X118] :
          ( ndr1_0
         => ( ~ c2_1(X118)
            | ~ c0_1(X118)
            | c1_1(X118) ) )
      | ! [X119] :
          ( ndr1_0
         => ( ~ c0_1(X119)
            | c3_1(X119)
            | c1_1(X119) ) )
      | ! [X120] :
          ( ndr1_0
         => ( c2_1(X120)
            | c1_1(X120)
            | c0_1(X120) ) ) )
    & ( ( c2_1(a1507)
        & c1_1(a1507)
        & c0_1(a1507)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a1483)
        & c2_1(a1483)
        & c1_1(a1483)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a1456)
        & c1_1(a1456)
        & c0_1(a1456)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a1428)
        & c2_1(a1428)
        & c0_1(a1428)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a1517)
        & ~ c0_1(a1517)
        & c2_1(a1517)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a1504)
        & c2_1(a1504)
        & c1_1(a1504)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a1487)
        & ~ c1_1(a1487)
        & c3_1(a1487)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a1477)
        & ~ c0_1(a1477)
        & c2_1(a1477)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a1468)
        & c3_1(a1468)
        & c1_1(a1468)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a1466)
        & c2_1(a1466)
        & c0_1(a1466)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c1_1(a1465)
        & c3_1(a1465)
        & c2_1(a1465)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a1460)
        & ~ c1_1(a1460)
        & ~ c0_1(a1460)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a1458)
        & c1_1(a1458)
        & c0_1(a1458)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a1457)
        & ~ c1_1(a1457)
        & ~ c0_1(a1457)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a1454)
        & ~ c0_1(a1454)
        & c1_1(a1454)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a1452)
        & c1_1(a1452)
        & c0_1(a1452)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a1451)
        & ~ c1_1(a1451)
        & c2_1(a1451)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a1449)
        & c2_1(a1449)
        & c1_1(a1449)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a1448)
        & c3_1(a1448)
        & c0_1(a1448)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a1447)
        & ~ c2_1(a1447)
        & ~ c0_1(a1447)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a1445)
        & ~ c1_1(a1445)
        & c0_1(a1445)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a1444)
        & ~ c2_1(a1444)
        & ~ c1_1(a1444)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a1441)
        & c3_1(a1441)
        & c0_1(a1441)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a1438)
        & ~ c0_1(a1438)
        & c3_1(a1438)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a1437)
        & ~ c1_1(a1437)
        & c0_1(a1437)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a1435)
        & ~ c2_1(a1435)
        & c0_1(a1435)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a1434)
        & c3_1(a1434)
        & c1_1(a1434)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a1431)
        & ~ c0_1(a1431)
        & c1_1(a1431)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a1430)
        & ~ c0_1(a1430)
        & c3_1(a1430)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c0_1(a1429)
        & c3_1(a1429)
        & c2_1(a1429)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a1427)
        & c2_1(a1427)
        & c0_1(a1427)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp17
          | hskp3
          | hskp22 )
        & ( hskp17
          | hskp2
          | hskp25 )
        & ( hskp1
          | hskp10
          | hskp12 )
        & ( hskp19
          | hskp14
          | hskp8 )
        & ( hskp14
          | hskp12
          | hskp8 )
        & ( hskp26
          | hskp29
          | hskp0 )
        & ( hskp13
          | hskp27
          | hskp15 )
        & ( hskp24
          | hskp30 )
        & ( hskp3
          | hskp8
          | hskp30 )
        & ( hskp13
          | hskp25
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp25
          | hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c1_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp9
          | hskp21
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp23
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | c3_1(X4) ) ) )
        & ( hskp11
          | hskp12
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c0_1(X5)
                | c3_1(X5) ) ) )
        & ( hskp14
          | hskp16
          | ! [X6] :
              ( ndr1_0
             => ( ~ c1_1(X6)
                | ~ c0_1(X6)
                | c3_1(X6) ) ) )
        & ( hskp3
          | hskp22
          | ! [X7] :
              ( ndr1_0
             => ( ~ c1_1(X7)
                | ~ c0_1(X7)
                | c3_1(X7) ) ) )
        & ( hskp17
          | hskp5
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c0_1(X8)
                | c2_1(X8) ) ) )
        & ( hskp3
          | hskp0
          | ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | c3_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp12
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c1_1(X10)
                | c3_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | c3_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp7
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c1_1(X12)
                | c2_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | c3_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp24
          | hskp4
          | ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | c3_1(X14)
                | c2_1(X14) ) ) )
        & ( hskp7
          | hskp4
          | ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | c3_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp29
          | hskp5
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) ) )
        & ( hskp11
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c2_1(X17)
                | ~ c0_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | c3_1(X18)
                | c2_1(X18) ) ) )
        & ( hskp18
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c3_1(X19)
                | c2_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c0_1(X20)
                | c3_1(X20)
                | c2_1(X20) ) ) )
        & ( hskp11
          | hskp20
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c2_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp23
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | ~ c0_1(X22)
                | c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c2_1(X23)
                | c1_1(X23) ) ) )
        & ( hskp8
          | ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | ~ c0_1(X24)
                | c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c2_1(X25)
                | c1_1(X25) ) ) )
        & ( hskp28
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c2_1(X26)
                | ~ c1_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c0_1(X27)
                | c1_1(X27) ) ) )
        & ( hskp11
          | hskp0
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | ~ c0_1(X28)
                | c1_1(X28) ) ) )
        & ( hskp13
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c1_1(X29)
                | ~ c0_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | c3_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp9
          | hskp22
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c2_1(X31)
                | c1_1(X31) ) ) )
        & ( hskp6
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c1_1(X32)
                | ~ c0_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c2_1(X33)
                | c1_1(X33) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c2_1(X34)
                | ~ c0_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | ~ c0_1(X35)
                | c3_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | c1_1(X36) ) ) )
        & ( hskp22
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | ~ c0_1(X37)
                | c2_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c2_1(X38)
                | c1_1(X38) ) ) )
        & ( ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | ~ c1_1(X39)
                | ~ c0_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c2_1(X40)
                | c1_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c1_1(X41) ) ) )
        & ( hskp19
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c0_1(X42)
                | c3_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c0_1(X43)
                | c2_1(X43)
                | c1_1(X43) ) ) )
        & ( hskp21
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | ~ c0_1(X44)
                | c3_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c0_1(X45)
                | c2_1(X45)
                | c1_1(X45) ) ) )
        & ( hskp20
          | ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | ~ c0_1(X46)
                | c3_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c0_1(X47)
                | c2_1(X47)
                | c1_1(X47) ) ) )
        & ( hskp7
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c2_1(X48)
                | ~ c1_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | c2_1(X49)
                | c1_1(X49) ) ) )
        & ( hskp17
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c0_1(X50)
                | c1_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c3_1(X51)
                | c2_1(X51)
                | c1_1(X51) ) ) )
        & ( hskp12
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c1_1(X52)
                | c2_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c2_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp12
          | ! [X54] :
              ( ndr1_0
             => ( ~ c0_1(X54)
                | c3_1(X54)
                | c1_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp19
          | hskp3
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp18
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c2_1(X57)
                | ~ c0_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp17
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c0_1(X59)
                | c2_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp28
          | ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | ~ c0_1(X61)
                | c2_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp7
          | hskp16
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | ~ c1_1(X63)
                | c0_1(X63) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | c3_1(X64)
                | c2_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | c3_1(X65)
                | c1_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | ~ c1_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp7
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c3_1(X67)
                | c1_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c1_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp15
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c2_1(X69)
                | c0_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c1_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp14
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | ~ c1_1(X71)
                | c0_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | c3_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp1
          | hskp13
          | ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | c3_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp12
          | ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | c3_1(X74)
                | c2_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | c3_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp11
          | hskp5
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c2_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp10
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | ~ c0_1(X77)
                | c2_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c2_1(X78)
                | c0_1(X78) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | c3_1(X79)
                | c1_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | c2_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp9
          | ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | c3_1(X82)
                | c0_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | c2_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp0
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c1_1(X84)
                | ~ c0_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | c2_1(X85)
                | c0_1(X85) ) ) )
        & ( hskp7
          | hskp8
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | c2_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp0
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c1_1(X87)
                | c2_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | c2_1(X88)
                | c0_1(X88) ) ) )
        & ( hskp2
          | ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | c2_1(X89)
                | c1_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c3_1(X90)
                | c2_1(X90)
                | c0_1(X90) ) ) )
        & ( hskp7
          | hskp6
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | c1_1(X91)
                | c0_1(X91) ) ) )
        & ( hskp5
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c0_1(X92)
                | c2_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | c1_1(X93)
                | c0_1(X93) ) ) )
        & ( hskp5
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | c3_1(X94)
                | c1_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | c1_1(X95)
                | c0_1(X95) ) ) )
        & ( ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | c3_1(X96)
                | c1_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( c3_1(X97)
                | c2_1(X97)
                | c1_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | c1_1(X98)
                | c0_1(X98) ) ) )
        & ( hskp4
          | hskp0
          | ! [X99] :
              ( ndr1_0
             => ( ~ c2_1(X99)
                | c1_1(X99)
                | c0_1(X99) ) ) )
        & ( ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c2_1(X100)
                | ~ c0_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c2_1(X101)
                | c1_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | c1_1(X102)
                | c0_1(X102) ) ) )
        & ( hskp0
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c1_1(X103)
                | c0_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | c1_1(X104)
                | c0_1(X104) ) ) )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c0_1(X105)
                | c2_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c1_1(X106)
                | c0_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | c1_1(X107)
                | c0_1(X107) ) ) )
        & ( ! [X108] :
              ( ndr1_0
             => ( ~ c1_1(X108)
                | c3_1(X108)
                | c2_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( c3_1(X109)
                | c2_1(X109)
                | c1_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( c3_1(X110)
                | c1_1(X110)
                | c0_1(X110) ) ) )
        & ( hskp3
          | ! [X111] :
              ( ndr1_0
             => ( ~ c3_1(X111)
                | ~ c1_1(X111)
                | c0_1(X111) ) )
          | ! [X112] :
              ( ndr1_0
             => ( c3_1(X112)
                | c1_1(X112)
                | c0_1(X112) ) ) )
        & ( hskp2
          | hskp1
          | ! [X113] :
              ( ndr1_0
             => ( c2_1(X113)
                | c1_1(X113)
                | c0_1(X113) ) ) )
        & ( hskp27
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c2_1(X114)
                | ~ c1_1(X114) ) )
          | ! [X115] :
              ( ndr1_0
             => ( c2_1(X115)
                | c1_1(X115)
                | c0_1(X115) ) ) )
        & ( hskp0
          | ! [X116] :
              ( ndr1_0
             => ( ~ c0_1(X116)
                | c3_1(X116)
                | c2_1(X116) ) )
          | ! [X117] :
              ( ndr1_0
             => ( c2_1(X117)
                | c1_1(X117)
                | c0_1(X117) ) ) )
        & ( ! [X118] :
              ( ndr1_0
             => ( ~ c2_1(X118)
                | ~ c0_1(X118)
                | c1_1(X118) ) )
          | ! [X119] :
              ( ndr1_0
             => ( ~ c0_1(X119)
                | c3_1(X119)
                | c1_1(X119) ) )
          | ! [X120] :
              ( ndr1_0
             => ( c2_1(X120)
                | c1_1(X120)
                | c0_1(X120) ) ) )
        & ( ( c2_1(a1507)
            & c1_1(a1507)
            & c0_1(a1507)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a1483)
            & c2_1(a1483)
            & c1_1(a1483)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a1456)
            & c1_1(a1456)
            & c0_1(a1456)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a1428)
            & c2_1(a1428)
            & c0_1(a1428)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a1517)
            & ~ c0_1(a1517)
            & c2_1(a1517)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c0_1(a1504)
            & c2_1(a1504)
            & c1_1(a1504)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a1487)
            & ~ c1_1(a1487)
            & c3_1(a1487)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a1477)
            & ~ c0_1(a1477)
            & c2_1(a1477)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c0_1(a1468)
            & c3_1(a1468)
            & c1_1(a1468)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a1466)
            & c2_1(a1466)
            & c0_1(a1466)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c1_1(a1465)
            & c3_1(a1465)
            & c2_1(a1465)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a1460)
            & ~ c1_1(a1460)
            & ~ c0_1(a1460)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a1458)
            & c1_1(a1458)
            & c0_1(a1458)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a1457)
            & ~ c1_1(a1457)
            & ~ c0_1(a1457)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a1454)
            & ~ c0_1(a1454)
            & c1_1(a1454)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a1452)
            & c1_1(a1452)
            & c0_1(a1452)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a1451)
            & ~ c1_1(a1451)
            & c2_1(a1451)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a1449)
            & c2_1(a1449)
            & c1_1(a1449)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a1448)
            & c3_1(a1448)
            & c0_1(a1448)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a1447)
            & ~ c2_1(a1447)
            & ~ c0_1(a1447)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a1445)
            & ~ c1_1(a1445)
            & c0_1(a1445)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a1444)
            & ~ c2_1(a1444)
            & ~ c1_1(a1444)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a1441)
            & c3_1(a1441)
            & c0_1(a1441)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c1_1(a1438)
            & ~ c0_1(a1438)
            & c3_1(a1438)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a1437)
            & ~ c1_1(a1437)
            & c0_1(a1437)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a1435)
            & ~ c2_1(a1435)
            & c0_1(a1435)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a1434)
            & c3_1(a1434)
            & c1_1(a1434)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a1431)
            & ~ c0_1(a1431)
            & c1_1(a1431)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a1430)
            & ~ c0_1(a1430)
            & c3_1(a1430)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c0_1(a1429)
            & c3_1(a1429)
            & c2_1(a1429)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a1427)
            & c2_1(a1427)
            & c0_1(a1427)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp17
          | hskp3
          | hskp22 )
        & ( hskp17
          | hskp2
          | hskp25 )
        & ( hskp1
          | hskp10
          | hskp12 )
        & ( hskp19
          | hskp14
          | hskp8 )
        & ( hskp14
          | hskp12
          | hskp8 )
        & ( hskp26
          | hskp29
          | hskp0 )
        & ( hskp13
          | hskp27
          | hskp15 )
        & ( hskp24
          | hskp30 )
        & ( hskp3
          | hskp8
          | hskp30 )
        & ( hskp13
          | hskp25
          | ! [X120] :
              ( ndr1_0
             => ( ~ c3_1(X120)
                | ~ c2_1(X120)
                | ~ c1_1(X120) ) ) )
        & ( hskp25
          | hskp0
          | ! [X119] :
              ( ndr1_0
             => ( ~ c3_1(X119)
                | ~ c1_1(X119)
                | ~ c0_1(X119) ) ) )
        & ( hskp9
          | hskp21
          | ! [X118] :
              ( ndr1_0
             => ( ~ c2_1(X118)
                | ~ c1_1(X118)
                | ~ c0_1(X118) ) ) )
        & ( hskp23
          | ! [X117] :
              ( ndr1_0
             => ( ~ c2_1(X117)
                | ~ c1_1(X117)
                | ~ c0_1(X117) ) )
          | ! [X116] :
              ( ndr1_0
             => ( ~ c2_1(X116)
                | ~ c1_1(X116)
                | c3_1(X116) ) ) )
        & ( hskp11
          | hskp12
          | ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | ~ c0_1(X115)
                | c3_1(X115) ) ) )
        & ( hskp14
          | hskp16
          | ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | ~ c0_1(X114)
                | c3_1(X114) ) ) )
        & ( hskp3
          | hskp22
          | ! [X113] :
              ( ndr1_0
             => ( ~ c1_1(X113)
                | ~ c0_1(X113)
                | c3_1(X113) ) ) )
        & ( hskp17
          | hskp5
          | ! [X112] :
              ( ndr1_0
             => ( ~ c3_1(X112)
                | ~ c0_1(X112)
                | c2_1(X112) ) ) )
        & ( hskp3
          | hskp0
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | c3_1(X111)
                | c2_1(X111) ) ) )
        & ( hskp12
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c1_1(X110)
                | c3_1(X110) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | c3_1(X109)
                | c2_1(X109) ) ) )
        & ( hskp7
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c1_1(X108)
                | c2_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | c3_1(X107)
                | c2_1(X107) ) ) )
        & ( hskp24
          | hskp4
          | ! [X106] :
              ( ndr1_0
             => ( ~ c0_1(X106)
                | c3_1(X106)
                | c2_1(X106) ) ) )
        & ( hskp7
          | hskp4
          | ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | c3_1(X105)
                | c2_1(X105) ) ) )
        & ( hskp29
          | hskp5
          | ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | c3_1(X104)
                | c2_1(X104) ) ) )
        & ( hskp11
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c2_1(X103)
                | ~ c0_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c0_1(X102)
                | c3_1(X102)
                | c2_1(X102) ) ) )
        & ( hskp18
          | ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | c3_1(X101)
                | c2_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c0_1(X100)
                | c3_1(X100)
                | c2_1(X100) ) ) )
        & ( hskp11
          | hskp20
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | c1_1(X99) ) ) )
        & ( hskp23
          | ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | ~ c0_1(X98)
                | c3_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c2_1(X97)
                | c1_1(X97) ) ) )
        & ( hskp8
          | ! [X96] :
              ( ndr1_0
             => ( ~ c1_1(X96)
                | ~ c0_1(X96)
                | c3_1(X96) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c2_1(X95)
                | c1_1(X95) ) ) )
        & ( hskp28
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c2_1(X94)
                | ~ c1_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c0_1(X93)
                | c1_1(X93) ) ) )
        & ( hskp11
          | hskp0
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | ~ c0_1(X92)
                | c1_1(X92) ) ) )
        & ( hskp13
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c1_1(X91)
                | ~ c0_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | c3_1(X90)
                | c1_1(X90) ) ) )
        & ( hskp9
          | hskp22
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | c2_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp6
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c1_1(X88)
                | ~ c0_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | c2_1(X87)
                | c1_1(X87) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c2_1(X86)
                | ~ c0_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | ~ c0_1(X85)
                | c3_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | c2_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp22
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c0_1(X83)
                | c2_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c2_1(X82)
                | c1_1(X82) ) ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | ~ c1_1(X81)
                | ~ c0_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c2_1(X80)
                | c1_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | c2_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp19
          | ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | ~ c0_1(X78)
                | c3_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c2_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp21
          | ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | ~ c0_1(X76)
                | c3_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | c2_1(X75)
                | c1_1(X75) ) ) )
        & ( hskp20
          | ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | ~ c0_1(X74)
                | c3_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | c2_1(X73)
                | c1_1(X73) ) ) )
        & ( hskp7
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c2_1(X72)
                | ~ c1_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c3_1(X71)
                | c2_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp17
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c0_1(X70)
                | c1_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c3_1(X69)
                | c2_1(X69)
                | c1_1(X69) ) ) )
        & ( hskp12
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c1_1(X68)
                | c2_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c2_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp12
          | ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | c3_1(X66)
                | c1_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c2_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp19
          | hskp3
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp18
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | ~ c0_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp17
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c0_1(X61)
                | c2_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp28
          | ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | ~ c0_1(X59)
                | c2_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp7
          | hskp16
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c0_1(X56)
                | c3_1(X56)
                | c2_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | c3_1(X55)
                | c1_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp7
          | ! [X53] :
              ( ndr1_0
             => ( ~ c0_1(X53)
                | c3_1(X53)
                | c1_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | ~ c1_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp15
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | c0_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp14
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c1_1(X49)
                | c0_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp1
          | hskp13
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | c3_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp12
          | ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | c3_1(X46)
                | c2_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | c3_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp11
          | hskp5
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | c2_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp10
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | ~ c0_1(X43)
                | c2_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | c2_1(X42)
                | c0_1(X42) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | c3_1(X41)
                | c1_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp9
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | c3_1(X38)
                | c0_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp0
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c1_1(X36)
                | ~ c0_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp7
          | hskp8
          | ! [X34] :
              ( ndr1_0
             => ( c3_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp0
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c1_1(X33)
                | c2_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c3_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp2
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c2_1(X31)
                | c1_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp7
          | hskp6
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | c1_1(X29)
                | c0_1(X29) ) ) )
        & ( hskp5
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c0_1(X28)
                | c2_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c1_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp5
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | c3_1(X26)
                | c1_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | c1_1(X25)
                | c0_1(X25) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | c3_1(X24)
                | c1_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | c2_1(X23)
                | c1_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp4
          | hskp0
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c2_1(X20)
                | ~ c0_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c2_1(X19)
                | c1_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp0
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c1_1(X17)
                | c0_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c0_1(X15)
                | c2_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c1_1(X14)
                | c0_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | c3_1(X12)
                | c2_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | c2_1(X11)
                | c1_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp3
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c1_1(X9)
                | c0_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c3_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp2
          | hskp1
          | ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp27
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c2_1(X6)
                | ~ c1_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c0_1(X4)
                | c3_1(X4)
                | c2_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c0_1(X2)
                | c1_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c0_1(X1)
                | c3_1(X1)
                | c1_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c2_1(a1507)
            & c1_1(a1507)
            & c0_1(a1507)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a1483)
            & c2_1(a1483)
            & c1_1(a1483)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a1456)
            & c1_1(a1456)
            & c0_1(a1456)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a1428)
            & c2_1(a1428)
            & c0_1(a1428)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a1517)
            & ~ c0_1(a1517)
            & c2_1(a1517)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c0_1(a1504)
            & c2_1(a1504)
            & c1_1(a1504)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a1487)
            & ~ c1_1(a1487)
            & c3_1(a1487)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a1477)
            & ~ c0_1(a1477)
            & c2_1(a1477)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c0_1(a1468)
            & c3_1(a1468)
            & c1_1(a1468)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a1466)
            & c2_1(a1466)
            & c0_1(a1466)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c1_1(a1465)
            & c3_1(a1465)
            & c2_1(a1465)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a1460)
            & ~ c1_1(a1460)
            & ~ c0_1(a1460)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a1458)
            & c1_1(a1458)
            & c0_1(a1458)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a1457)
            & ~ c1_1(a1457)
            & ~ c0_1(a1457)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a1454)
            & ~ c0_1(a1454)
            & c1_1(a1454)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a1452)
            & c1_1(a1452)
            & c0_1(a1452)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a1451)
            & ~ c1_1(a1451)
            & c2_1(a1451)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a1449)
            & c2_1(a1449)
            & c1_1(a1449)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a1448)
            & c3_1(a1448)
            & c0_1(a1448)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a1447)
            & ~ c2_1(a1447)
            & ~ c0_1(a1447)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a1445)
            & ~ c1_1(a1445)
            & c0_1(a1445)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a1444)
            & ~ c2_1(a1444)
            & ~ c1_1(a1444)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a1441)
            & c3_1(a1441)
            & c0_1(a1441)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c1_1(a1438)
            & ~ c0_1(a1438)
            & c3_1(a1438)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a1437)
            & ~ c1_1(a1437)
            & c0_1(a1437)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a1435)
            & ~ c2_1(a1435)
            & c0_1(a1435)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a1434)
            & c3_1(a1434)
            & c1_1(a1434)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a1431)
            & ~ c0_1(a1431)
            & c1_1(a1431)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a1430)
            & ~ c0_1(a1430)
            & c3_1(a1430)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c0_1(a1429)
            & c3_1(a1429)
            & c2_1(a1429)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a1427)
            & c2_1(a1427)
            & c0_1(a1427)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp17
        | hskp3
        | hskp22 )
      & ( hskp17
        | hskp2
        | hskp25 )
      & ( hskp1
        | hskp10
        | hskp12 )
      & ( hskp19
        | hskp14
        | hskp8 )
      & ( hskp14
        | hskp12
        | hskp8 )
      & ( hskp26
        | hskp29
        | hskp0 )
      & ( hskp13
        | hskp27
        | hskp15 )
      & ( hskp24
        | hskp30 )
      & ( hskp3
        | hskp8
        | hskp30 )
      & ( hskp13
        | hskp25
        | ! [X120] :
            ( ndr1_0
           => ( ~ c3_1(X120)
              | ~ c2_1(X120)
              | ~ c1_1(X120) ) ) )
      & ( hskp25
        | hskp0
        | ! [X119] :
            ( ndr1_0
           => ( ~ c3_1(X119)
              | ~ c1_1(X119)
              | ~ c0_1(X119) ) ) )
      & ( hskp9
        | hskp21
        | ! [X118] :
            ( ndr1_0
           => ( ~ c2_1(X118)
              | ~ c1_1(X118)
              | ~ c0_1(X118) ) ) )
      & ( hskp23
        | ! [X117] :
            ( ndr1_0
           => ( ~ c2_1(X117)
              | ~ c1_1(X117)
              | ~ c0_1(X117) ) )
        | ! [X116] :
            ( ndr1_0
           => ( ~ c2_1(X116)
              | ~ c1_1(X116)
              | c3_1(X116) ) ) )
      & ( hskp11
        | hskp12
        | ! [X115] :
            ( ndr1_0
           => ( ~ c2_1(X115)
              | ~ c0_1(X115)
              | c3_1(X115) ) ) )
      & ( hskp14
        | hskp16
        | ! [X114] :
            ( ndr1_0
           => ( ~ c1_1(X114)
              | ~ c0_1(X114)
              | c3_1(X114) ) ) )
      & ( hskp3
        | hskp22
        | ! [X113] :
            ( ndr1_0
           => ( ~ c1_1(X113)
              | ~ c0_1(X113)
              | c3_1(X113) ) ) )
      & ( hskp17
        | hskp5
        | ! [X112] :
            ( ndr1_0
           => ( ~ c3_1(X112)
              | ~ c0_1(X112)
              | c2_1(X112) ) ) )
      & ( hskp3
        | hskp0
        | ! [X111] :
            ( ndr1_0
           => ( ~ c1_1(X111)
              | c3_1(X111)
              | c2_1(X111) ) ) )
      & ( hskp12
        | ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | ~ c1_1(X110)
              | c3_1(X110) ) )
        | ! [X109] :
            ( ndr1_0
           => ( ~ c1_1(X109)
              | c3_1(X109)
              | c2_1(X109) ) ) )
      & ( hskp7
        | ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c1_1(X108)
              | c2_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c1_1(X107)
              | c3_1(X107)
              | c2_1(X107) ) ) )
      & ( hskp24
        | hskp4
        | ! [X106] :
            ( ndr1_0
           => ( ~ c0_1(X106)
              | c3_1(X106)
              | c2_1(X106) ) ) )
      & ( hskp7
        | hskp4
        | ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | c3_1(X105)
              | c2_1(X105) ) ) )
      & ( hskp29
        | hskp5
        | ! [X104] :
            ( ndr1_0
           => ( ~ c0_1(X104)
              | c3_1(X104)
              | c2_1(X104) ) ) )
      & ( hskp11
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c2_1(X103)
              | ~ c0_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c0_1(X102)
              | c3_1(X102)
              | c2_1(X102) ) ) )
      & ( hskp18
        | ! [X101] :
            ( ndr1_0
           => ( ~ c1_1(X101)
              | c3_1(X101)
              | c2_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c0_1(X100)
              | c3_1(X100)
              | c2_1(X100) ) ) )
      & ( hskp11
        | hskp20
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c2_1(X99)
              | c1_1(X99) ) ) )
      & ( hskp23
        | ! [X98] :
            ( ndr1_0
           => ( ~ c2_1(X98)
              | ~ c0_1(X98)
              | c3_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c2_1(X97)
              | c1_1(X97) ) ) )
      & ( hskp8
        | ! [X96] :
            ( ndr1_0
           => ( ~ c1_1(X96)
              | ~ c0_1(X96)
              | c3_1(X96) ) )
        | ! [X95] :
            ( ndr1_0
           => ( ~ c3_1(X95)
              | ~ c2_1(X95)
              | c1_1(X95) ) ) )
      & ( hskp28
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c2_1(X94)
              | ~ c1_1(X94) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c3_1(X93)
              | ~ c0_1(X93)
              | c1_1(X93) ) ) )
      & ( hskp11
        | hskp0
        | ! [X92] :
            ( ndr1_0
           => ( ~ c2_1(X92)
              | ~ c0_1(X92)
              | c1_1(X92) ) ) )
      & ( hskp13
        | ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c1_1(X91)
              | ~ c0_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c2_1(X90)
              | c3_1(X90)
              | c1_1(X90) ) ) )
      & ( hskp9
        | hskp22
        | ! [X89] :
            ( ndr1_0
           => ( ~ c3_1(X89)
              | c2_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp6
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c1_1(X88)
              | ~ c0_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | c2_1(X87)
              | c1_1(X87) ) ) )
      & ( ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c2_1(X86)
              | ~ c0_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c1_1(X85)
              | ~ c0_1(X85)
              | c3_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | c2_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp22
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c0_1(X83)
              | c2_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | c2_1(X82)
              | c1_1(X82) ) ) )
      & ( ! [X81] :
            ( ndr1_0
           => ( ~ c2_1(X81)
              | ~ c1_1(X81)
              | ~ c0_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c2_1(X80)
              | c1_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | c2_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp19
        | ! [X78] :
            ( ndr1_0
           => ( ~ c2_1(X78)
              | ~ c0_1(X78)
              | c3_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | c2_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp21
        | ! [X76] :
            ( ndr1_0
           => ( ~ c2_1(X76)
              | ~ c0_1(X76)
              | c3_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c0_1(X75)
              | c2_1(X75)
              | c1_1(X75) ) ) )
      & ( hskp20
        | ! [X74] :
            ( ndr1_0
           => ( ~ c1_1(X74)
              | ~ c0_1(X74)
              | c3_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c0_1(X73)
              | c2_1(X73)
              | c1_1(X73) ) ) )
      & ( hskp7
        | ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | ~ c2_1(X72)
              | ~ c1_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( c3_1(X71)
              | c2_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp17
        | ! [X70] :
            ( ndr1_0
           => ( ~ c2_1(X70)
              | ~ c0_1(X70)
              | c1_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( c3_1(X69)
              | c2_1(X69)
              | c1_1(X69) ) ) )
      & ( hskp12
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c1_1(X68)
              | c2_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c2_1(X67)
              | c0_1(X67) ) ) )
      & ( hskp12
        | ! [X66] :
            ( ndr1_0
           => ( ~ c0_1(X66)
              | c3_1(X66)
              | c1_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c2_1(X65)
              | c0_1(X65) ) ) )
      & ( hskp19
        | hskp3
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c1_1(X64)
              | c0_1(X64) ) ) )
      & ( hskp18
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c2_1(X63)
              | ~ c0_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c1_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp17
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c0_1(X61)
              | c2_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | ~ c1_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp28
        | ! [X59] :
            ( ndr1_0
           => ( ~ c1_1(X59)
              | ~ c0_1(X59)
              | c2_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c1_1(X58)
              | c0_1(X58) ) ) )
      & ( hskp7
        | hskp16
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | ~ c1_1(X57)
              | c0_1(X57) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( ~ c0_1(X56)
              | c3_1(X56)
              | c2_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | c3_1(X55)
              | c1_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | ~ c1_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp7
        | ! [X53] :
            ( ndr1_0
           => ( ~ c0_1(X53)
              | c3_1(X53)
              | c1_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c2_1(X52)
              | ~ c1_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp15
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | ~ c2_1(X51)
              | c0_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | ~ c1_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp14
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | ~ c1_1(X49)
              | c0_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | c3_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp1
        | hskp13
        | ! [X47] :
            ( ndr1_0
           => ( ~ c1_1(X47)
              | c3_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp12
        | ! [X46] :
            ( ndr1_0
           => ( ~ c1_1(X46)
              | c3_1(X46)
              | c2_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c1_1(X45)
              | c3_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp11
        | hskp5
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | c2_1(X44)
              | c0_1(X44) ) ) )
      & ( hskp10
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | ~ c0_1(X43)
              | c2_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | c2_1(X42)
              | c0_1(X42) ) ) )
      & ( ! [X41] :
            ( ndr1_0
           => ( ~ c2_1(X41)
              | c3_1(X41)
              | c1_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c0_1(X40)
              | c2_1(X40)
              | c1_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp9
        | ! [X38] :
            ( ndr1_0
           => ( ~ c2_1(X38)
              | c3_1(X38)
              | c0_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp0
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | ~ c1_1(X36)
              | ~ c0_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp7
        | hskp8
        | ! [X34] :
            ( ndr1_0
           => ( c3_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp0
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | ~ c1_1(X33)
              | c2_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c3_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp2
        | ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | c2_1(X31)
              | c1_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c3_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp7
        | hskp6
        | ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | c1_1(X29)
              | c0_1(X29) ) ) )
      & ( hskp5
        | ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | ~ c0_1(X28)
              | c2_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | c1_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp5
        | ! [X26] :
            ( ndr1_0
           => ( ~ c2_1(X26)
              | c3_1(X26)
              | c1_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c3_1(X25)
              | c1_1(X25)
              | c0_1(X25) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( ~ c2_1(X24)
              | c3_1(X24)
              | c1_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c3_1(X23)
              | c2_1(X23)
              | c1_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp4
        | hskp0
        | ! [X21] :
            ( ndr1_0
           => ( ~ c2_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | ~ c2_1(X20)
              | ~ c0_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | ~ c2_1(X19)
              | c1_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c2_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp0
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | ~ c1_1(X17)
              | c0_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | ~ c0_1(X15)
              | c2_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c3_1(X14)
              | ~ c1_1(X14)
              | c0_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( ! [X12] :
            ( ndr1_0
           => ( ~ c1_1(X12)
              | c3_1(X12)
              | c2_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | c2_1(X11)
              | c1_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c3_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp3
        | ! [X9] :
            ( ndr1_0
           => ( ~ c3_1(X9)
              | ~ c1_1(X9)
              | c0_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c3_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp2
        | hskp1
        | ! [X7] :
            ( ndr1_0
           => ( c2_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp27
        | ! [X6] :
            ( ndr1_0
           => ( ~ c3_1(X6)
              | ~ c2_1(X6)
              | ~ c1_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp0
        | ! [X4] :
            ( ndr1_0
           => ( ~ c0_1(X4)
              | c3_1(X4)
              | c2_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c2_1(X2)
              | ~ c0_1(X2)
              | c1_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c0_1(X1)
              | c3_1(X1)
              | c1_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c2_1(a1507)
          & c1_1(a1507)
          & c0_1(a1507)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a1483)
          & c2_1(a1483)
          & c1_1(a1483)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a1456)
          & c1_1(a1456)
          & c0_1(a1456)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a1428)
          & c2_1(a1428)
          & c0_1(a1428)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a1517)
          & ~ c0_1(a1517)
          & c2_1(a1517)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c0_1(a1504)
          & c2_1(a1504)
          & c1_1(a1504)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a1487)
          & ~ c1_1(a1487)
          & c3_1(a1487)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c1_1(a1477)
          & ~ c0_1(a1477)
          & c2_1(a1477)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c0_1(a1468)
          & c3_1(a1468)
          & c1_1(a1468)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c1_1(a1466)
          & c2_1(a1466)
          & c0_1(a1466)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c1_1(a1465)
          & c3_1(a1465)
          & c2_1(a1465)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a1460)
          & ~ c1_1(a1460)
          & ~ c0_1(a1460)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a1458)
          & c1_1(a1458)
          & c0_1(a1458)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c2_1(a1457)
          & ~ c1_1(a1457)
          & ~ c0_1(a1457)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a1454)
          & ~ c0_1(a1454)
          & c1_1(a1454)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a1452)
          & c1_1(a1452)
          & c0_1(a1452)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c3_1(a1451)
          & ~ c1_1(a1451)
          & c2_1(a1451)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a1449)
          & c2_1(a1449)
          & c1_1(a1449)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a1448)
          & c3_1(a1448)
          & c0_1(a1448)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a1447)
          & ~ c2_1(a1447)
          & ~ c0_1(a1447)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a1445)
          & ~ c1_1(a1445)
          & c0_1(a1445)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a1444)
          & ~ c2_1(a1444)
          & ~ c1_1(a1444)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c1_1(a1441)
          & c3_1(a1441)
          & c0_1(a1441)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c1_1(a1438)
          & ~ c0_1(a1438)
          & c3_1(a1438)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a1437)
          & ~ c1_1(a1437)
          & c0_1(a1437)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a1435)
          & ~ c2_1(a1435)
          & c0_1(a1435)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c2_1(a1434)
          & c3_1(a1434)
          & c1_1(a1434)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a1431)
          & ~ c0_1(a1431)
          & c1_1(a1431)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c2_1(a1430)
          & ~ c0_1(a1430)
          & c3_1(a1430)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c0_1(a1429)
          & c3_1(a1429)
          & c2_1(a1429)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a1427)
          & c2_1(a1427)
          & c0_1(a1427)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f1041,plain,
    ( ~ spl0_12
    | spl0_156 ),
    inference(avatar_split_clause,[],[f9,f1038,f302]) ).

fof(f9,plain,
    ( c2_1(a1427)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1036,plain,
    ( ~ spl0_12
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f10,f1033,f302]) ).

fof(f10,plain,
    ( ~ c3_1(a1427)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1014,plain,
    ( ~ spl0_5
    | spl0_151 ),
    inference(avatar_split_clause,[],[f16,f1011,f270]) ).

fof(f270,plain,
    ( spl0_5
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f16,plain,
    ( c3_1(a1430)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1009,plain,
    ( ~ spl0_5
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f17,f1006,f270]) ).

fof(f17,plain,
    ( ~ c0_1(a1430)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1004,plain,
    ( ~ spl0_5
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f18,f1001,f270]) ).

fof(f18,plain,
    ( ~ c2_1(a1430)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f999,plain,
    ( ~ spl0_2
    | spl0_20 ),
    inference(avatar_split_clause,[],[f19,f338,f257]) ).

fof(f257,plain,
    ( spl0_2
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f338,plain,
    ( spl0_20
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

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

fof(f998,plain,
    ( ~ spl0_2
    | spl0_148 ),
    inference(avatar_split_clause,[],[f20,f995,f257]) ).

fof(f20,plain,
    ( c1_1(a1431)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f993,plain,
    ( ~ spl0_2
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f21,f990,f257]) ).

fof(f21,plain,
    ( ~ c0_1(a1431)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f988,plain,
    ( ~ spl0_2
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f22,f985,f257]) ).

fof(f22,plain,
    ( ~ c2_1(a1431)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f982,plain,
    ( ~ spl0_38
    | spl0_145 ),
    inference(avatar_split_clause,[],[f24,f979,f411]) ).

fof(f411,plain,
    ( spl0_38
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f24,plain,
    ( c1_1(a1434)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f977,plain,
    ( ~ spl0_38
    | spl0_144 ),
    inference(avatar_split_clause,[],[f25,f974,f411]) ).

fof(f25,plain,
    ( c3_1(a1434)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f972,plain,
    ( ~ spl0_38
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f26,f969,f411]) ).

fof(f26,plain,
    ( ~ c2_1(a1434)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f966,plain,
    ( ~ spl0_33
    | spl0_142 ),
    inference(avatar_split_clause,[],[f28,f963,f390]) ).

fof(f390,plain,
    ( spl0_33
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f28,plain,
    ( c0_1(a1435)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f961,plain,
    ( ~ spl0_33
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f29,f958,f390]) ).

fof(f29,plain,
    ( ~ c2_1(a1435)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f956,plain,
    ( ~ spl0_33
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f30,f953,f390]) ).

fof(f30,plain,
    ( ~ c3_1(a1435)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f950,plain,
    ( ~ spl0_48
    | spl0_139 ),
    inference(avatar_split_clause,[],[f32,f947,f457]) ).

fof(f457,plain,
    ( spl0_48
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f32,plain,
    ( c0_1(a1437)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f945,plain,
    ( ~ spl0_48
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f33,f942,f457]) ).

fof(f33,plain,
    ( ~ c1_1(a1437)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f940,plain,
    ( ~ spl0_48
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f34,f937,f457]) ).

fof(f34,plain,
    ( ~ c2_1(a1437)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f934,plain,
    ( ~ spl0_36
    | spl0_136 ),
    inference(avatar_split_clause,[],[f36,f931,f403]) ).

fof(f403,plain,
    ( spl0_36
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f36,plain,
    ( c3_1(a1438)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f929,plain,
    ( ~ spl0_36
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f37,f926,f403]) ).

fof(f37,plain,
    ( ~ c0_1(a1438)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f924,plain,
    ( ~ spl0_36
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f38,f921,f403]) ).

fof(f38,plain,
    ( ~ c1_1(a1438)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f919,plain,
    ( ~ spl0_9
    | spl0_20 ),
    inference(avatar_split_clause,[],[f39,f338,f288]) ).

fof(f288,plain,
    ( spl0_9
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f39,plain,
    ( ndr1_0
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f918,plain,
    ( ~ spl0_9
    | spl0_133 ),
    inference(avatar_split_clause,[],[f40,f915,f288]) ).

fof(f40,plain,
    ( c0_1(a1441)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f913,plain,
    ( ~ spl0_9
    | spl0_132 ),
    inference(avatar_split_clause,[],[f41,f910,f288]) ).

fof(f41,plain,
    ( c3_1(a1441)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f908,plain,
    ( ~ spl0_9
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f42,f905,f288]) ).

fof(f42,plain,
    ( ~ c1_1(a1441)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f902,plain,
    ( ~ spl0_25
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f44,f899,f357]) ).

fof(f357,plain,
    ( spl0_25
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f44,plain,
    ( ~ c1_1(a1444)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f897,plain,
    ( ~ spl0_25
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f45,f894,f357]) ).

fof(f45,plain,
    ( ~ c2_1(a1444)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f892,plain,
    ( ~ spl0_25
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f46,f889,f357]) ).

fof(f46,plain,
    ( ~ c3_1(a1444)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f886,plain,
    ( ~ spl0_7
    | spl0_127 ),
    inference(avatar_split_clause,[],[f48,f883,f279]) ).

fof(f279,plain,
    ( spl0_7
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f48,plain,
    ( c0_1(a1445)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f881,plain,
    ( ~ spl0_7
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f49,f878,f279]) ).

fof(f49,plain,
    ( ~ c1_1(a1445)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f876,plain,
    ( ~ spl0_7
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f50,f873,f279]) ).

fof(f50,plain,
    ( ~ c3_1(a1445)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f870,plain,
    ( ~ spl0_29
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f52,f867,f373]) ).

fof(f373,plain,
    ( spl0_29
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f52,plain,
    ( ~ c0_1(a1447)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f865,plain,
    ( ~ spl0_29
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f53,f862,f373]) ).

fof(f53,plain,
    ( ~ c2_1(a1447)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f860,plain,
    ( ~ spl0_29
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f54,f857,f373]) ).

fof(f54,plain,
    ( ~ c3_1(a1447)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f854,plain,
    ( ~ spl0_6
    | spl0_121 ),
    inference(avatar_split_clause,[],[f56,f851,f275]) ).

fof(f275,plain,
    ( spl0_6
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f56,plain,
    ( c0_1(a1448)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f849,plain,
    ( ~ spl0_6
    | spl0_120 ),
    inference(avatar_split_clause,[],[f57,f846,f275]) ).

fof(f57,plain,
    ( c3_1(a1448)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f844,plain,
    ( ~ spl0_6
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f58,f841,f275]) ).

fof(f58,plain,
    ( ~ c2_1(a1448)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f838,plain,
    ( ~ spl0_17
    | spl0_118 ),
    inference(avatar_split_clause,[],[f60,f835,f323]) ).

fof(f323,plain,
    ( spl0_17
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f60,plain,
    ( c1_1(a1449)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f833,plain,
    ( ~ spl0_17
    | spl0_117 ),
    inference(avatar_split_clause,[],[f61,f830,f323]) ).

fof(f61,plain,
    ( c2_1(a1449)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f828,plain,
    ( ~ spl0_17
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f62,f825,f323]) ).

fof(f62,plain,
    ( ~ c3_1(a1449)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f822,plain,
    ( ~ spl0_10
    | spl0_115 ),
    inference(avatar_split_clause,[],[f64,f819,f292]) ).

fof(f292,plain,
    ( spl0_10
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f64,plain,
    ( c2_1(a1451)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f817,plain,
    ( ~ spl0_10
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f65,f814,f292]) ).

fof(f65,plain,
    ( ~ c1_1(a1451)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f812,plain,
    ( ~ spl0_10
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f66,f809,f292]) ).

fof(f66,plain,
    ( ~ c3_1(a1451)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f806,plain,
    ( ~ spl0_15
    | spl0_112 ),
    inference(avatar_split_clause,[],[f68,f803,f315]) ).

fof(f315,plain,
    ( spl0_15
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f68,plain,
    ( c0_1(a1452)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f801,plain,
    ( ~ spl0_15
    | spl0_111 ),
    inference(avatar_split_clause,[],[f69,f798,f315]) ).

fof(f69,plain,
    ( c1_1(a1452)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f796,plain,
    ( ~ spl0_15
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f70,f793,f315]) ).

fof(f70,plain,
    ( ~ c3_1(a1452)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f790,plain,
    ( ~ spl0_31
    | spl0_109 ),
    inference(avatar_split_clause,[],[f72,f787,f381]) ).

fof(f381,plain,
    ( spl0_31
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f72,plain,
    ( c1_1(a1454)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f785,plain,
    ( ~ spl0_31
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f73,f782,f381]) ).

fof(f73,plain,
    ( ~ c0_1(a1454)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f780,plain,
    ( ~ spl0_31
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f74,f777,f381]) ).

fof(f74,plain,
    ( ~ c3_1(a1454)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f774,plain,
    ( ~ spl0_3
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f76,f771,f261]) ).

fof(f261,plain,
    ( spl0_3
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f76,plain,
    ( ~ c0_1(a1457)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f769,plain,
    ( ~ spl0_3
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f77,f766,f261]) ).

fof(f77,plain,
    ( ~ c1_1(a1457)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f764,plain,
    ( ~ spl0_3
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f78,f761,f261]) ).

fof(f78,plain,
    ( ~ c2_1(a1457)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f758,plain,
    ( ~ spl0_40
    | spl0_103 ),
    inference(avatar_split_clause,[],[f80,f755,f422]) ).

fof(f422,plain,
    ( spl0_40
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f80,plain,
    ( c0_1(a1458)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f753,plain,
    ( ~ spl0_40
    | spl0_102 ),
    inference(avatar_split_clause,[],[f81,f750,f422]) ).

fof(f81,plain,
    ( c1_1(a1458)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f748,plain,
    ( ~ spl0_40
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f82,f745,f422]) ).

fof(f82,plain,
    ( ~ c2_1(a1458)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f742,plain,
    ( ~ spl0_11
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f84,f739,f296]) ).

fof(f296,plain,
    ( spl0_11
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f84,plain,
    ( ~ c0_1(a1460)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f732,plain,
    ( ~ spl0_11
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f86,f729,f296]) ).

fof(f86,plain,
    ( ~ c3_1(a1460)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f726,plain,
    ( ~ spl0_42
    | spl0_97 ),
    inference(avatar_split_clause,[],[f88,f723,f430]) ).

fof(f430,plain,
    ( spl0_42
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f88,plain,
    ( c2_1(a1465)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f721,plain,
    ( ~ spl0_42
    | spl0_96 ),
    inference(avatar_split_clause,[],[f89,f718,f430]) ).

fof(f89,plain,
    ( c3_1(a1465)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f716,plain,
    ( ~ spl0_42
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f90,f713,f430]) ).

fof(f90,plain,
    ( ~ c1_1(a1465)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f710,plain,
    ( ~ spl0_24
    | spl0_94 ),
    inference(avatar_split_clause,[],[f92,f707,f353]) ).

fof(f353,plain,
    ( spl0_24
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f92,plain,
    ( c0_1(a1466)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f705,plain,
    ( ~ spl0_24
    | spl0_93 ),
    inference(avatar_split_clause,[],[f93,f702,f353]) ).

fof(f93,plain,
    ( c2_1(a1466)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f700,plain,
    ( ~ spl0_24
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f94,f697,f353]) ).

fof(f94,plain,
    ( ~ c1_1(a1466)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f694,plain,
    ( ~ spl0_1
    | spl0_91 ),
    inference(avatar_split_clause,[],[f96,f691,f253]) ).

fof(f253,plain,
    ( spl0_1
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f96,plain,
    ( c1_1(a1468)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f689,plain,
    ( ~ spl0_1
    | spl0_90 ),
    inference(avatar_split_clause,[],[f97,f686,f253]) ).

fof(f97,plain,
    ( c3_1(a1468)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f684,plain,
    ( ~ spl0_1
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f98,f681,f253]) ).

fof(f98,plain,
    ( ~ c0_1(a1468)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f678,plain,
    ( ~ spl0_27
    | spl0_88 ),
    inference(avatar_split_clause,[],[f100,f675,f365]) ).

fof(f365,plain,
    ( spl0_27
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f100,plain,
    ( c2_1(a1477)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f673,plain,
    ( ~ spl0_27
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f101,f670,f365]) ).

fof(f101,plain,
    ( ~ c0_1(a1477)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f668,plain,
    ( ~ spl0_27
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f102,f665,f365]) ).

fof(f102,plain,
    ( ~ c1_1(a1477)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f662,plain,
    ( ~ spl0_19
    | spl0_85 ),
    inference(avatar_split_clause,[],[f104,f659,f332]) ).

fof(f332,plain,
    ( spl0_19
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f104,plain,
    ( c3_1(a1487)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f657,plain,
    ( ~ spl0_19
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f105,f654,f332]) ).

fof(f105,plain,
    ( ~ c1_1(a1487)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f652,plain,
    ( ~ spl0_19
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f106,f649,f332]) ).

fof(f106,plain,
    ( ~ c2_1(a1487)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f646,plain,
    ( ~ spl0_4
    | spl0_82 ),
    inference(avatar_split_clause,[],[f108,f643,f266]) ).

fof(f266,plain,
    ( spl0_4
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f108,plain,
    ( c1_1(a1504)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f641,plain,
    ( ~ spl0_4
    | spl0_81 ),
    inference(avatar_split_clause,[],[f109,f638,f266]) ).

fof(f109,plain,
    ( c2_1(a1504)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f636,plain,
    ( ~ spl0_4
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f110,f633,f266]) ).

fof(f110,plain,
    ( ~ c0_1(a1504)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f630,plain,
    ( ~ spl0_14
    | spl0_79 ),
    inference(avatar_split_clause,[],[f112,f627,f310]) ).

fof(f310,plain,
    ( spl0_14
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f112,plain,
    ( c2_1(a1517)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f625,plain,
    ( ~ spl0_14
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f113,f622,f310]) ).

fof(f113,plain,
    ( ~ c0_1(a1517)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f620,plain,
    ( ~ spl0_14
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f114,f617,f310]) ).

fof(f114,plain,
    ( ~ c3_1(a1517)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f614,plain,
    ( ~ spl0_16
    | spl0_76 ),
    inference(avatar_split_clause,[],[f116,f611,f319]) ).

fof(f319,plain,
    ( spl0_16
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f116,plain,
    ( c0_1(a1428)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f609,plain,
    ( ~ spl0_16
    | spl0_75 ),
    inference(avatar_split_clause,[],[f117,f606,f319]) ).

fof(f117,plain,
    ( c2_1(a1428)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f604,plain,
    ( ~ spl0_16
    | spl0_74 ),
    inference(avatar_split_clause,[],[f118,f601,f319]) ).

fof(f118,plain,
    ( c3_1(a1428)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f598,plain,
    ( ~ spl0_44
    | spl0_73 ),
    inference(avatar_split_clause,[],[f120,f595,f440]) ).

fof(f440,plain,
    ( spl0_44
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f120,plain,
    ( c0_1(a1456)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f593,plain,
    ( ~ spl0_44
    | spl0_72 ),
    inference(avatar_split_clause,[],[f121,f590,f440]) ).

fof(f121,plain,
    ( c1_1(a1456)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f588,plain,
    ( ~ spl0_44
    | spl0_71 ),
    inference(avatar_split_clause,[],[f122,f585,f440]) ).

fof(f122,plain,
    ( c3_1(a1456)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f582,plain,
    ( ~ spl0_13
    | spl0_70 ),
    inference(avatar_split_clause,[],[f124,f579,f306]) ).

fof(f306,plain,
    ( spl0_13
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f124,plain,
    ( c1_1(a1483)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f577,plain,
    ( ~ spl0_13
    | spl0_69 ),
    inference(avatar_split_clause,[],[f125,f574,f306]) ).

fof(f125,plain,
    ( c2_1(a1483)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f572,plain,
    ( ~ spl0_13
    | spl0_68 ),
    inference(avatar_split_clause,[],[f126,f569,f306]) ).

fof(f126,plain,
    ( c3_1(a1483)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f567,plain,
    ( ~ spl0_18
    | spl0_20 ),
    inference(avatar_split_clause,[],[f127,f338,f328]) ).

fof(f328,plain,
    ( spl0_18
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

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

fof(f566,plain,
    ( ~ spl0_18
    | spl0_67 ),
    inference(avatar_split_clause,[],[f128,f563,f328]) ).

fof(f128,plain,
    ( c0_1(a1507)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f561,plain,
    ( ~ spl0_18
    | spl0_66 ),
    inference(avatar_split_clause,[],[f129,f558,f328]) ).

fof(f129,plain,
    ( c1_1(a1507)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f556,plain,
    ( ~ spl0_18
    | spl0_65 ),
    inference(avatar_split_clause,[],[f130,f553,f328]) ).

fof(f130,plain,
    ( c2_1(a1507)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f539,plain,
    ( spl0_62
    | spl0_53
    | ~ spl0_20
    | spl0_32 ),
    inference(avatar_split_clause,[],[f212,f387,f338,f484,f534]) ).

fof(f212,plain,
    ! [X106,X107,X105] :
      ( ~ c3_1(X105)
      | ~ c0_1(X105)
      | c2_1(X105)
      | ~ ndr1_0
      | ~ c3_1(X106)
      | ~ c1_1(X106)
      | c0_1(X106)
      | ~ c2_1(X107)
      | c1_1(X107)
      | c0_1(X107) ),
    inference(duplicate_literal_removal,[],[f137]) ).

fof(f137,plain,
    ! [X106,X107,X105] :
      ( ~ c3_1(X105)
      | ~ c0_1(X105)
      | c2_1(X105)
      | ~ ndr1_0
      | ~ c3_1(X106)
      | ~ c1_1(X106)
      | c0_1(X106)
      | ~ ndr1_0
      | ~ c2_1(X107)
      | c1_1(X107)
      | c0_1(X107)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f538,plain,
    ( spl0_62
    | ~ spl0_20
    | spl0_53
    | spl0_12 ),
    inference(avatar_split_clause,[],[f213,f302,f484,f338,f534]) ).

fof(f213,plain,
    ! [X104,X103] :
      ( hskp0
      | ~ c3_1(X103)
      | ~ c1_1(X103)
      | c0_1(X103)
      | ~ ndr1_0
      | ~ c2_1(X104)
      | c1_1(X104)
      | c0_1(X104) ),
    inference(duplicate_literal_removal,[],[f138]) ).

fof(f138,plain,
    ! [X104,X103] :
      ( hskp0
      | ~ c3_1(X103)
      | ~ c1_1(X103)
      | c0_1(X103)
      | ~ ndr1_0
      | ~ c2_1(X104)
      | c1_1(X104)
      | c0_1(X104)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f537,plain,
    ( spl0_62
    | spl0_41
    | ~ spl0_20
    | spl0_39 ),
    inference(avatar_split_clause,[],[f214,f418,f338,f427,f534]) ).

fof(f214,plain,
    ! [X101,X102,X100] :
      ( ~ c3_1(X100)
      | ~ c2_1(X100)
      | ~ c0_1(X100)
      | ~ ndr1_0
      | ~ c3_1(X101)
      | ~ c2_1(X101)
      | c1_1(X101)
      | ~ c2_1(X102)
      | c1_1(X102)
      | c0_1(X102) ),
    inference(duplicate_literal_removal,[],[f139]) ).

fof(f139,plain,
    ! [X101,X102,X100] :
      ( ~ c3_1(X100)
      | ~ c2_1(X100)
      | ~ c0_1(X100)
      | ~ ndr1_0
      | ~ c3_1(X101)
      | ~ c2_1(X101)
      | c1_1(X101)
      | ~ ndr1_0
      | ~ c2_1(X102)
      | c1_1(X102)
      | c0_1(X102)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f536,plain,
    ( ~ spl0_20
    | spl0_62
    | spl0_12
    | spl0_38 ),
    inference(avatar_split_clause,[],[f140,f411,f302,f534,f338]) ).

fof(f140,plain,
    ! [X99] :
      ( hskp4
      | hskp0
      | ~ c2_1(X99)
      | c1_1(X99)
      | c0_1(X99)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f532,plain,
    ( spl0_61
    | spl0_50
    | ~ spl0_20
    | spl0_46 ),
    inference(avatar_split_clause,[],[f215,f449,f338,f471,f527]) ).

fof(f215,plain,
    ! [X98,X96,X97] :
      ( ~ c2_1(X96)
      | c3_1(X96)
      | c1_1(X96)
      | ~ ndr1_0
      | c3_1(X97)
      | c2_1(X97)
      | c1_1(X97)
      | ~ c3_1(X98)
      | c1_1(X98)
      | c0_1(X98) ),
    inference(duplicate_literal_removal,[],[f141]) ).

fof(f141,plain,
    ! [X98,X96,X97] :
      ( ~ c2_1(X96)
      | c3_1(X96)
      | c1_1(X96)
      | ~ ndr1_0
      | c3_1(X97)
      | c2_1(X97)
      | c1_1(X97)
      | ~ ndr1_0
      | ~ c3_1(X98)
      | c1_1(X98)
      | c0_1(X98)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f531,plain,
    ( spl0_61
    | ~ spl0_20
    | spl0_46
    | spl0_33 ),
    inference(avatar_split_clause,[],[f216,f390,f449,f338,f527]) ).

fof(f216,plain,
    ! [X94,X95] :
      ( hskp5
      | ~ c2_1(X94)
      | c3_1(X94)
      | c1_1(X94)
      | ~ ndr1_0
      | ~ c3_1(X95)
      | c1_1(X95)
      | c0_1(X95) ),
    inference(duplicate_literal_removal,[],[f142]) ).

fof(f142,plain,
    ! [X94,X95] :
      ( hskp5
      | ~ c2_1(X94)
      | c3_1(X94)
      | c1_1(X94)
      | ~ ndr1_0
      | ~ c3_1(X95)
      | c1_1(X95)
      | c0_1(X95)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f530,plain,
    ( spl0_61
    | ~ spl0_20
    | spl0_32
    | spl0_33 ),
    inference(avatar_split_clause,[],[f217,f390,f387,f338,f527]) ).

fof(f217,plain,
    ! [X92,X93] :
      ( hskp5
      | ~ c3_1(X92)
      | ~ c0_1(X92)
      | c2_1(X92)
      | ~ ndr1_0
      | ~ c3_1(X93)
      | c1_1(X93)
      | c0_1(X93) ),
    inference(duplicate_literal_removal,[],[f143]) ).

fof(f143,plain,
    ! [X92,X93] :
      ( hskp5
      | ~ c3_1(X92)
      | ~ c0_1(X92)
      | c2_1(X92)
      | ~ ndr1_0
      | ~ c3_1(X93)
      | c1_1(X93)
      | c0_1(X93)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f525,plain,
    ( spl0_60
    | ~ spl0_20
    | spl0_50
    | spl0_5 ),
    inference(avatar_split_clause,[],[f218,f270,f471,f338,f521]) ).

fof(f218,plain,
    ! [X90,X89] :
      ( hskp2
      | c3_1(X89)
      | c2_1(X89)
      | c1_1(X89)
      | ~ ndr1_0
      | c3_1(X90)
      | c2_1(X90)
      | c0_1(X90) ),
    inference(duplicate_literal_removal,[],[f145]) ).

fof(f145,plain,
    ! [X90,X89] :
      ( hskp2
      | c3_1(X89)
      | c2_1(X89)
      | c1_1(X89)
      | ~ ndr1_0
      | c3_1(X90)
      | c2_1(X90)
      | c0_1(X90)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f524,plain,
    ( spl0_60
    | ~ spl0_20
    | spl0_35
    | spl0_12 ),
    inference(avatar_split_clause,[],[f219,f302,f400,f338,f521]) ).

fof(f219,plain,
    ! [X88,X87] :
      ( hskp0
      | ~ c3_1(X87)
      | ~ c1_1(X87)
      | c2_1(X87)
      | ~ ndr1_0
      | c3_1(X88)
      | c2_1(X88)
      | c0_1(X88) ),
    inference(duplicate_literal_removal,[],[f146]) ).

fof(f146,plain,
    ! [X88,X87] :
      ( hskp0
      | ~ c3_1(X87)
      | ~ c1_1(X87)
      | c2_1(X87)
      | ~ ndr1_0
      | c3_1(X88)
      | c2_1(X88)
      | c0_1(X88)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f523,plain,
    ( ~ spl0_20
    | spl0_60
    | spl0_9
    | spl0_36 ),
    inference(avatar_split_clause,[],[f147,f403,f288,f521,f338]) ).

fof(f147,plain,
    ! [X86] :
      ( hskp7
      | hskp8
      | c3_1(X86)
      | c2_1(X86)
      | c0_1(X86)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f519,plain,
    ( spl0_59
    | ~ spl0_20
    | spl0_22
    | spl0_12 ),
    inference(avatar_split_clause,[],[f220,f302,f346,f338,f517]) ).

fof(f220,plain,
    ! [X84,X85] :
      ( hskp0
      | ~ c3_1(X84)
      | ~ c1_1(X84)
      | ~ c0_1(X84)
      | ~ ndr1_0
      | ~ c1_1(X85)
      | c2_1(X85)
      | c0_1(X85) ),
    inference(duplicate_literal_removal,[],[f148]) ).

fof(f148,plain,
    ! [X84,X85] :
      ( hskp0
      | ~ c3_1(X84)
      | ~ c1_1(X84)
      | ~ c0_1(X84)
      | ~ ndr1_0
      | ~ c1_1(X85)
      | c2_1(X85)
      | c0_1(X85)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f515,plain,
    ( spl0_58
    | ~ spl0_20
    | spl0_56
    | spl0_25 ),
    inference(avatar_split_clause,[],[f221,f357,f501,f338,f510]) ).

fof(f221,plain,
    ! [X82,X83] :
      ( hskp9
      | ~ c2_1(X82)
      | c3_1(X82)
      | c0_1(X82)
      | ~ ndr1_0
      | ~ c3_1(X83)
      | c2_1(X83)
      | c0_1(X83) ),
    inference(duplicate_literal_removal,[],[f149]) ).

fof(f149,plain,
    ! [X82,X83] :
      ( hskp9
      | ~ c2_1(X82)
      | c3_1(X82)
      | c0_1(X82)
      | ~ ndr1_0
      | ~ c3_1(X83)
      | c2_1(X83)
      | c0_1(X83)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f514,plain,
    ( spl0_58
    | spl0_49
    | ~ spl0_20
    | spl0_46 ),
    inference(avatar_split_clause,[],[f222,f449,f338,f465,f510]) ).

fof(f222,plain,
    ! [X80,X81,X79] :
      ( ~ c2_1(X79)
      | c3_1(X79)
      | c1_1(X79)
      | ~ ndr1_0
      | ~ c0_1(X80)
      | c2_1(X80)
      | c1_1(X80)
      | ~ c3_1(X81)
      | c2_1(X81)
      | c0_1(X81) ),
    inference(duplicate_literal_removal,[],[f150]) ).

fof(f150,plain,
    ! [X80,X81,X79] :
      ( ~ c2_1(X79)
      | c3_1(X79)
      | c1_1(X79)
      | ~ ndr1_0
      | ~ c0_1(X80)
      | c2_1(X80)
      | c1_1(X80)
      | ~ ndr1_0
      | ~ c3_1(X81)
      | c2_1(X81)
      | c0_1(X81)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f513,plain,
    ( spl0_58
    | ~ spl0_20
    | spl0_54
    | spl0_7 ),
    inference(avatar_split_clause,[],[f223,f279,f490,f338,f510]) ).

fof(f223,plain,
    ! [X78,X77] :
      ( hskp10
      | ~ c1_1(X77)
      | ~ c0_1(X77)
      | c2_1(X77)
      | ~ ndr1_0
      | ~ c3_1(X78)
      | c2_1(X78)
      | c0_1(X78) ),
    inference(duplicate_literal_removal,[],[f151]) ).

fof(f151,plain,
    ! [X78,X77] :
      ( hskp10
      | ~ c1_1(X77)
      | ~ c0_1(X77)
      | c2_1(X77)
      | ~ ndr1_0
      | ~ c3_1(X78)
      | c2_1(X78)
      | c0_1(X78)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f512,plain,
    ( ~ spl0_20
    | spl0_58
    | spl0_33
    | spl0_29 ),
    inference(avatar_split_clause,[],[f152,f373,f390,f510,f338]) ).

fof(f152,plain,
    ! [X76] :
      ( hskp11
      | hskp5
      | ~ c3_1(X76)
      | c2_1(X76)
      | c0_1(X76)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f508,plain,
    ( spl0_57
    | ~ spl0_20
    | spl0_34
    | spl0_6 ),
    inference(avatar_split_clause,[],[f224,f275,f395,f338,f505]) ).

fof(f224,plain,
    ! [X74,X75] :
      ( hskp12
      | ~ c1_1(X74)
      | c3_1(X74)
      | c2_1(X74)
      | ~ ndr1_0
      | ~ c1_1(X75)
      | c3_1(X75)
      | c0_1(X75) ),
    inference(duplicate_literal_removal,[],[f153]) ).

fof(f153,plain,
    ! [X74,X75] :
      ( hskp12
      | ~ c1_1(X74)
      | c3_1(X74)
      | c2_1(X74)
      | ~ ndr1_0
      | ~ c1_1(X75)
      | c3_1(X75)
      | c0_1(X75)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f503,plain,
    ( spl0_56
    | ~ spl0_20
    | spl0_55
    | spl0_10 ),
    inference(avatar_split_clause,[],[f225,f292,f494,f338,f501]) ).

fof(f225,plain,
    ! [X72,X71] :
      ( hskp14
      | ~ c2_1(X71)
      | ~ c1_1(X71)
      | c0_1(X71)
      | ~ ndr1_0
      | ~ c2_1(X72)
      | c3_1(X72)
      | c0_1(X72) ),
    inference(duplicate_literal_removal,[],[f155]) ).

fof(f155,plain,
    ! [X72,X71] :
      ( hskp14
      | ~ c2_1(X71)
      | ~ c1_1(X71)
      | c0_1(X71)
      | ~ ndr1_0
      | ~ c2_1(X72)
      | c3_1(X72)
      | c0_1(X72)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f499,plain,
    ( spl0_55
    | ~ spl0_20
    | spl0_51
    | spl0_15 ),
    inference(avatar_split_clause,[],[f226,f315,f476,f338,f494]) ).

fof(f226,plain,
    ! [X70,X69] :
      ( hskp15
      | ~ c3_1(X69)
      | ~ c2_1(X69)
      | c0_1(X69)
      | ~ ndr1_0
      | ~ c2_1(X70)
      | ~ c1_1(X70)
      | c0_1(X70) ),
    inference(duplicate_literal_removal,[],[f156]) ).

fof(f156,plain,
    ! [X70,X69] :
      ( hskp15
      | ~ c3_1(X69)
      | ~ c2_1(X69)
      | c0_1(X69)
      | ~ ndr1_0
      | ~ c2_1(X70)
      | ~ c1_1(X70)
      | c0_1(X70)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f498,plain,
    ( spl0_55
    | ~ spl0_20
    | spl0_52
    | spl0_36 ),
    inference(avatar_split_clause,[],[f227,f403,f480,f338,f494]) ).

fof(f227,plain,
    ! [X68,X67] :
      ( hskp7
      | ~ c0_1(X67)
      | c3_1(X67)
      | c1_1(X67)
      | ~ ndr1_0
      | ~ c2_1(X68)
      | ~ c1_1(X68)
      | c0_1(X68) ),
    inference(duplicate_literal_removal,[],[f157]) ).

fof(f157,plain,
    ! [X68,X67] :
      ( hskp7
      | ~ c0_1(X67)
      | c3_1(X67)
      | c1_1(X67)
      | ~ ndr1_0
      | ~ c2_1(X68)
      | ~ c1_1(X68)
      | c0_1(X68)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f497,plain,
    ( spl0_55
    | spl0_46
    | ~ spl0_20
    | spl0_37 ),
    inference(avatar_split_clause,[],[f228,f408,f338,f449,f494]) ).

fof(f228,plain,
    ! [X65,X66,X64] :
      ( ~ c0_1(X64)
      | c3_1(X64)
      | c2_1(X64)
      | ~ ndr1_0
      | ~ c2_1(X65)
      | c3_1(X65)
      | c1_1(X65)
      | ~ c2_1(X66)
      | ~ c1_1(X66)
      | c0_1(X66) ),
    inference(duplicate_literal_removal,[],[f158]) ).

fof(f158,plain,
    ! [X65,X66,X64] :
      ( ~ c0_1(X64)
      | c3_1(X64)
      | c2_1(X64)
      | ~ ndr1_0
      | ~ c2_1(X65)
      | c3_1(X65)
      | c1_1(X65)
      | ~ ndr1_0
      | ~ c2_1(X66)
      | ~ c1_1(X66)
      | c0_1(X66)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f492,plain,
    ( spl0_53
    | ~ spl0_20
    | spl0_54
    | spl0_44 ),
    inference(avatar_split_clause,[],[f229,f440,f490,f338,f484]) ).

fof(f229,plain,
    ! [X62,X61] :
      ( hskp28
      | ~ c1_1(X61)
      | ~ c0_1(X61)
      | c2_1(X61)
      | ~ ndr1_0
      | ~ c3_1(X62)
      | ~ c1_1(X62)
      | c0_1(X62) ),
    inference(duplicate_literal_removal,[],[f160]) ).

fof(f160,plain,
    ! [X62,X61] :
      ( hskp28
      | ~ c1_1(X61)
      | ~ c0_1(X61)
      | c2_1(X61)
      | ~ ndr1_0
      | ~ c3_1(X62)
      | ~ c1_1(X62)
      | c0_1(X62)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f488,plain,
    ( spl0_53
    | ~ spl0_20
    | spl0_32
    | spl0_3 ),
    inference(avatar_split_clause,[],[f230,f261,f387,f338,f484]) ).

fof(f230,plain,
    ! [X59,X60] :
      ( hskp17
      | ~ c3_1(X59)
      | ~ c0_1(X59)
      | c2_1(X59)
      | ~ ndr1_0
      | ~ c3_1(X60)
      | ~ c1_1(X60)
      | c0_1(X60) ),
    inference(duplicate_literal_removal,[],[f161]) ).

fof(f161,plain,
    ! [X59,X60] :
      ( hskp17
      | ~ c3_1(X59)
      | ~ c0_1(X59)
      | c2_1(X59)
      | ~ ndr1_0
      | ~ c3_1(X60)
      | ~ c1_1(X60)
      | c0_1(X60)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f487,plain,
    ( spl0_53
    | ~ spl0_20
    | spl0_39
    | spl0_40 ),
    inference(avatar_split_clause,[],[f231,f422,f418,f338,f484]) ).

fof(f231,plain,
    ! [X58,X57] :
      ( hskp18
      | ~ c3_1(X57)
      | ~ c2_1(X57)
      | ~ c0_1(X57)
      | ~ ndr1_0
      | ~ c3_1(X58)
      | ~ c1_1(X58)
      | c0_1(X58) ),
    inference(duplicate_literal_removal,[],[f162]) ).

fof(f162,plain,
    ! [X58,X57] :
      ( hskp18
      | ~ c3_1(X57)
      | ~ c2_1(X57)
      | ~ c0_1(X57)
      | ~ ndr1_0
      | ~ c3_1(X58)
      | ~ c1_1(X58)
      | c0_1(X58)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f486,plain,
    ( ~ spl0_20
    | spl0_53
    | spl0_2
    | spl0_11 ),
    inference(avatar_split_clause,[],[f163,f296,f257,f484,f338]) ).

fof(f163,plain,
    ! [X56] :
      ( hskp19
      | hskp3
      | ~ c3_1(X56)
      | ~ c1_1(X56)
      | c0_1(X56)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f482,plain,
    ( spl0_51
    | ~ spl0_20
    | spl0_52
    | spl0_6 ),
    inference(avatar_split_clause,[],[f232,f275,f480,f338,f476]) ).

fof(f232,plain,
    ! [X54,X55] :
      ( hskp12
      | ~ c0_1(X54)
      | c3_1(X54)
      | c1_1(X54)
      | ~ ndr1_0
      | ~ c3_1(X55)
      | ~ c2_1(X55)
      | c0_1(X55) ),
    inference(duplicate_literal_removal,[],[f164]) ).

fof(f164,plain,
    ! [X54,X55] :
      ( hskp12
      | ~ c0_1(X54)
      | c3_1(X54)
      | c1_1(X54)
      | ~ ndr1_0
      | ~ c3_1(X55)
      | ~ c2_1(X55)
      | c0_1(X55)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f478,plain,
    ( spl0_51
    | ~ spl0_20
    | spl0_35
    | spl0_6 ),
    inference(avatar_split_clause,[],[f233,f275,f400,f338,f476]) ).

fof(f233,plain,
    ! [X52,X53] :
      ( hskp12
      | ~ c3_1(X52)
      | ~ c1_1(X52)
      | c2_1(X52)
      | ~ ndr1_0
      | ~ c3_1(X53)
      | ~ c2_1(X53)
      | c0_1(X53) ),
    inference(duplicate_literal_removal,[],[f165]) ).

fof(f165,plain,
    ! [X52,X53] :
      ( hskp12
      | ~ c3_1(X52)
      | ~ c1_1(X52)
      | c2_1(X52)
      | ~ ndr1_0
      | ~ c3_1(X53)
      | ~ c2_1(X53)
      | c0_1(X53)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f473,plain,
    ( spl0_50
    | ~ spl0_20
    | spl0_21
    | spl0_36 ),
    inference(avatar_split_clause,[],[f235,f403,f342,f338,f471]) ).

fof(f235,plain,
    ! [X48,X49] :
      ( hskp7
      | ~ c3_1(X48)
      | ~ c2_1(X48)
      | ~ c1_1(X48)
      | ~ ndr1_0
      | c3_1(X49)
      | c2_1(X49)
      | c1_1(X49) ),
    inference(duplicate_literal_removal,[],[f167]) ).

fof(f167,plain,
    ! [X48,X49] :
      ( hskp7
      | ~ c3_1(X48)
      | ~ c2_1(X48)
      | ~ c1_1(X48)
      | ~ ndr1_0
      | c3_1(X49)
      | c2_1(X49)
      | c1_1(X49)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f469,plain,
    ( spl0_49
    | ~ spl0_20
    | spl0_30
    | spl0_42 ),
    inference(avatar_split_clause,[],[f236,f430,f378,f338,f465]) ).

fof(f236,plain,
    ! [X46,X47] :
      ( hskp20
      | ~ c1_1(X46)
      | ~ c0_1(X46)
      | c3_1(X46)
      | ~ ndr1_0
      | ~ c0_1(X47)
      | c2_1(X47)
      | c1_1(X47) ),
    inference(duplicate_literal_removal,[],[f168]) ).

fof(f168,plain,
    ! [X46,X47] :
      ( hskp20
      | ~ c1_1(X46)
      | ~ c0_1(X46)
      | c3_1(X46)
      | ~ ndr1_0
      | ~ c0_1(X47)
      | c2_1(X47)
      | c1_1(X47)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f468,plain,
    ( spl0_49
    | ~ spl0_20
    | spl0_28
    | spl0_24 ),
    inference(avatar_split_clause,[],[f237,f353,f370,f338,f465]) ).

fof(f237,plain,
    ! [X44,X45] :
      ( hskp21
      | ~ c2_1(X44)
      | ~ c0_1(X44)
      | c3_1(X44)
      | ~ ndr1_0
      | ~ c0_1(X45)
      | c2_1(X45)
      | c1_1(X45) ),
    inference(duplicate_literal_removal,[],[f169]) ).

fof(f169,plain,
    ! [X44,X45] :
      ( hskp21
      | ~ c2_1(X44)
      | ~ c0_1(X44)
      | c3_1(X44)
      | ~ ndr1_0
      | ~ c0_1(X45)
      | c2_1(X45)
      | c1_1(X45)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f462,plain,
    ( spl0_47
    | ~ spl0_20
    | spl0_32
    | spl0_1 ),
    inference(avatar_split_clause,[],[f240,f253,f387,f338,f453]) ).

fof(f240,plain,
    ! [X38,X37] :
      ( hskp22
      | ~ c3_1(X37)
      | ~ c0_1(X37)
      | c2_1(X37)
      | ~ ndr1_0
      | ~ c3_1(X38)
      | c2_1(X38)
      | c1_1(X38) ),
    inference(duplicate_literal_removal,[],[f172]) ).

fof(f172,plain,
    ! [X38,X37] :
      ( hskp22
      | ~ c3_1(X37)
      | ~ c0_1(X37)
      | c2_1(X37)
      | ~ ndr1_0
      | ~ c3_1(X38)
      | c2_1(X38)
      | c1_1(X38)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f461,plain,
    ( spl0_47
    | spl0_30
    | ~ spl0_20
    | spl0_39 ),
    inference(avatar_split_clause,[],[f241,f418,f338,f378,f453]) ).

fof(f241,plain,
    ! [X36,X34,X35] :
      ( ~ c3_1(X34)
      | ~ c2_1(X34)
      | ~ c0_1(X34)
      | ~ ndr1_0
      | ~ c1_1(X35)
      | ~ c0_1(X35)
      | c3_1(X35)
      | ~ c3_1(X36)
      | c2_1(X36)
      | c1_1(X36) ),
    inference(duplicate_literal_removal,[],[f173]) ).

fof(f173,plain,
    ! [X36,X34,X35] :
      ( ~ c3_1(X34)
      | ~ c2_1(X34)
      | ~ c0_1(X34)
      | ~ ndr1_0
      | ~ c1_1(X35)
      | ~ c0_1(X35)
      | c3_1(X35)
      | ~ ndr1_0
      | ~ c3_1(X36)
      | c2_1(X36)
      | c1_1(X36)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f460,plain,
    ( spl0_47
    | ~ spl0_20
    | spl0_22
    | spl0_48 ),
    inference(avatar_split_clause,[],[f242,f457,f346,f338,f453]) ).

fof(f242,plain,
    ! [X32,X33] :
      ( hskp6
      | ~ c3_1(X32)
      | ~ c1_1(X32)
      | ~ c0_1(X32)
      | ~ ndr1_0
      | ~ c3_1(X33)
      | c2_1(X33)
      | c1_1(X33) ),
    inference(duplicate_literal_removal,[],[f174]) ).

fof(f174,plain,
    ! [X32,X33] :
      ( hskp6
      | ~ c3_1(X32)
      | ~ c1_1(X32)
      | ~ c0_1(X32)
      | ~ ndr1_0
      | ~ c3_1(X33)
      | c2_1(X33)
      | c1_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f455,plain,
    ( ~ spl0_20
    | spl0_47
    | spl0_1
    | spl0_25 ),
    inference(avatar_split_clause,[],[f175,f357,f253,f453,f338]) ).

fof(f175,plain,
    ! [X31] :
      ( hskp9
      | hskp22
      | ~ c3_1(X31)
      | c2_1(X31)
      | c1_1(X31)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f451,plain,
    ( spl0_46
    | ~ spl0_20
    | spl0_22
    | spl0_17 ),
    inference(avatar_split_clause,[],[f243,f323,f346,f338,f449]) ).

fof(f243,plain,
    ! [X29,X30] :
      ( hskp13
      | ~ c3_1(X29)
      | ~ c1_1(X29)
      | ~ c0_1(X29)
      | ~ ndr1_0
      | ~ c2_1(X30)
      | c3_1(X30)
      | c1_1(X30) ),
    inference(duplicate_literal_removal,[],[f176]) ).

fof(f176,plain,
    ! [X29,X30] :
      ( hskp13
      | ~ c3_1(X29)
      | ~ c1_1(X29)
      | ~ c0_1(X29)
      | ~ ndr1_0
      | ~ c2_1(X30)
      | c3_1(X30)
      | c1_1(X30)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f447,plain,
    ( ~ spl0_20
    | spl0_45
    | spl0_12
    | spl0_29 ),
    inference(avatar_split_clause,[],[f177,f373,f302,f445,f338]) ).

fof(f177,plain,
    ! [X28] :
      ( hskp11
      | hskp0
      | ~ c2_1(X28)
      | ~ c0_1(X28)
      | c1_1(X28)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f443,plain,
    ( spl0_43
    | ~ spl0_20
    | spl0_21
    | spl0_44 ),
    inference(avatar_split_clause,[],[f244,f440,f342,f338,f437]) ).

fof(f244,plain,
    ! [X26,X27] :
      ( hskp28
      | ~ c3_1(X26)
      | ~ c2_1(X26)
      | ~ c1_1(X26)
      | ~ ndr1_0
      | ~ c3_1(X27)
      | ~ c0_1(X27)
      | c1_1(X27) ),
    inference(duplicate_literal_removal,[],[f178]) ).

fof(f178,plain,
    ! [X26,X27] :
      ( hskp28
      | ~ c3_1(X26)
      | ~ c2_1(X26)
      | ~ c1_1(X26)
      | ~ ndr1_0
      | ~ c3_1(X27)
      | ~ c0_1(X27)
      | c1_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f435,plain,
    ( spl0_41
    | ~ spl0_20
    | spl0_30
    | spl0_9 ),
    inference(avatar_split_clause,[],[f245,f288,f378,f338,f427]) ).

fof(f245,plain,
    ! [X24,X25] :
      ( hskp8
      | ~ c1_1(X24)
      | ~ c0_1(X24)
      | c3_1(X24)
      | ~ ndr1_0
      | ~ c3_1(X25)
      | ~ c2_1(X25)
      | c1_1(X25) ),
    inference(duplicate_literal_removal,[],[f179]) ).

fof(f179,plain,
    ! [X24,X25] :
      ( hskp8
      | ~ c1_1(X24)
      | ~ c0_1(X24)
      | c3_1(X24)
      | ~ ndr1_0
      | ~ c3_1(X25)
      | ~ c2_1(X25)
      | c1_1(X25)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f434,plain,
    ( spl0_41
    | ~ spl0_20
    | spl0_28
    | spl0_27 ),
    inference(avatar_split_clause,[],[f246,f365,f370,f338,f427]) ).

fof(f246,plain,
    ! [X22,X23] :
      ( hskp23
      | ~ c2_1(X22)
      | ~ c0_1(X22)
      | c3_1(X22)
      | ~ ndr1_0
      | ~ c3_1(X23)
      | ~ c2_1(X23)
      | c1_1(X23) ),
    inference(duplicate_literal_removal,[],[f180]) ).

fof(f180,plain,
    ! [X22,X23] :
      ( hskp23
      | ~ c2_1(X22)
      | ~ c0_1(X22)
      | c3_1(X22)
      | ~ ndr1_0
      | ~ c3_1(X23)
      | ~ c2_1(X23)
      | c1_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f425,plain,
    ( spl0_37
    | ~ spl0_20
    | spl0_34
    | spl0_40 ),
    inference(avatar_split_clause,[],[f247,f422,f395,f338,f408]) ).

fof(f247,plain,
    ! [X19,X20] :
      ( hskp18
      | ~ c1_1(X19)
      | c3_1(X19)
      | c2_1(X19)
      | ~ ndr1_0
      | ~ c0_1(X20)
      | c3_1(X20)
      | c2_1(X20) ),
    inference(duplicate_literal_removal,[],[f182]) ).

fof(f182,plain,
    ! [X19,X20] :
      ( hskp18
      | ~ c1_1(X19)
      | c3_1(X19)
      | c2_1(X19)
      | ~ ndr1_0
      | ~ c0_1(X20)
      | c3_1(X20)
      | c2_1(X20)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f420,plain,
    ( spl0_37
    | ~ spl0_20
    | spl0_39
    | spl0_29 ),
    inference(avatar_split_clause,[],[f248,f373,f418,f338,f408]) ).

fof(f248,plain,
    ! [X18,X17] :
      ( hskp11
      | ~ c3_1(X17)
      | ~ c2_1(X17)
      | ~ c0_1(X17)
      | ~ ndr1_0
      | ~ c0_1(X18)
      | c3_1(X18)
      | c2_1(X18) ),
    inference(duplicate_literal_removal,[],[f183]) ).

fof(f183,plain,
    ! [X18,X17] :
      ( hskp11
      | ~ c3_1(X17)
      | ~ c2_1(X17)
      | ~ c0_1(X17)
      | ~ ndr1_0
      | ~ c0_1(X18)
      | c3_1(X18)
      | c2_1(X18)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f416,plain,
    ( ~ spl0_20
    | spl0_37
    | spl0_33
    | spl0_13 ),
    inference(avatar_split_clause,[],[f184,f306,f390,f408,f338]) ).

fof(f184,plain,
    ! [X16] :
      ( hskp29
      | hskp5
      | ~ c0_1(X16)
      | c3_1(X16)
      | c2_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f415,plain,
    ( ~ spl0_20
    | spl0_37
    | spl0_38
    | spl0_36 ),
    inference(avatar_split_clause,[],[f185,f403,f411,f408,f338]) ).

fof(f185,plain,
    ! [X15] :
      ( hskp7
      | hskp4
      | ~ c0_1(X15)
      | c3_1(X15)
      | c2_1(X15)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f406,plain,
    ( spl0_34
    | ~ spl0_20
    | spl0_35
    | spl0_36 ),
    inference(avatar_split_clause,[],[f249,f403,f400,f338,f395]) ).

fof(f249,plain,
    ! [X12,X13] :
      ( hskp7
      | ~ c3_1(X12)
      | ~ c1_1(X12)
      | c2_1(X12)
      | ~ ndr1_0
      | ~ c1_1(X13)
      | c3_1(X13)
      | c2_1(X13) ),
    inference(duplicate_literal_removal,[],[f187]) ).

fof(f187,plain,
    ! [X12,X13] :
      ( hskp7
      | ~ c3_1(X12)
      | ~ c1_1(X12)
      | c2_1(X12)
      | ~ ndr1_0
      | ~ c1_1(X13)
      | c3_1(X13)
      | c2_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f398,plain,
    ( spl0_34
    | ~ spl0_20
    | spl0_26
    | spl0_6 ),
    inference(avatar_split_clause,[],[f250,f275,f362,f338,f395]) ).

fof(f250,plain,
    ! [X10,X11] :
      ( hskp12
      | ~ c2_1(X10)
      | ~ c1_1(X10)
      | c3_1(X10)
      | ~ ndr1_0
      | ~ c1_1(X11)
      | c3_1(X11)
      | c2_1(X11) ),
    inference(duplicate_literal_removal,[],[f188]) ).

fof(f188,plain,
    ! [X10,X11] :
      ( hskp12
      | ~ c2_1(X10)
      | ~ c1_1(X10)
      | c3_1(X10)
      | ~ ndr1_0
      | ~ c1_1(X11)
      | c3_1(X11)
      | c2_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f397,plain,
    ( ~ spl0_20
    | spl0_34
    | spl0_12
    | spl0_2 ),
    inference(avatar_split_clause,[],[f189,f257,f302,f395,f338]) ).

fof(f189,plain,
    ! [X9] :
      ( hskp3
      | hskp0
      | ~ c1_1(X9)
      | c3_1(X9)
      | c2_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f385,plain,
    ( ~ spl0_20
    | spl0_30
    | spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f191,f257,f253,f378,f338]) ).

fof(f191,plain,
    ! [X7] :
      ( hskp3
      | hskp22
      | ~ c1_1(X7)
      | ~ c0_1(X7)
      | c3_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f384,plain,
    ( ~ spl0_20
    | spl0_30
    | spl0_31
    | spl0_10 ),
    inference(avatar_split_clause,[],[f192,f292,f381,f378,f338]) ).

fof(f192,plain,
    ! [X6] :
      ( hskp14
      | hskp16
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | c3_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f376,plain,
    ( ~ spl0_20
    | spl0_28
    | spl0_6
    | spl0_29 ),
    inference(avatar_split_clause,[],[f193,f373,f275,f370,f338]) ).

fof(f193,plain,
    ! [X5] :
      ( hskp11
      | hskp12
      | ~ c2_1(X5)
      | ~ c0_1(X5)
      | c3_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f368,plain,
    ( spl0_26
    | ~ spl0_20
    | spl0_23
    | spl0_27 ),
    inference(avatar_split_clause,[],[f251,f365,f350,f338,f362]) ).

fof(f251,plain,
    ! [X3,X4] :
      ( hskp23
      | ~ c2_1(X3)
      | ~ c1_1(X3)
      | ~ c0_1(X3)
      | ~ ndr1_0
      | ~ c2_1(X4)
      | ~ c1_1(X4)
      | c3_1(X4) ),
    inference(duplicate_literal_removal,[],[f194]) ).

fof(f194,plain,
    ! [X3,X4] :
      ( hskp23
      | ~ c2_1(X3)
      | ~ c1_1(X3)
      | ~ c0_1(X3)
      | ~ ndr1_0
      | ~ c2_1(X4)
      | ~ c1_1(X4)
      | c3_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f360,plain,
    ( ~ spl0_20
    | spl0_23
    | spl0_24
    | spl0_25 ),
    inference(avatar_split_clause,[],[f195,f357,f353,f350,f338]) ).

fof(f195,plain,
    ! [X2] :
      ( hskp9
      | hskp21
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f348,plain,
    ( ~ spl0_20
    | spl0_22
    | spl0_12
    | spl0_4 ),
    inference(avatar_split_clause,[],[f196,f266,f302,f346,f338]) ).

fof(f196,plain,
    ! [X1] :
      ( hskp25
      | hskp0
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f344,plain,
    ( ~ spl0_20
    | spl0_21
    | spl0_4
    | spl0_17 ),
    inference(avatar_split_clause,[],[f197,f323,f266,f342,f338]) ).

fof(f197,plain,
    ! [X0] :
      ( hskp13
      | hskp25
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f336,plain,
    ( spl0_18
    | spl0_9
    | spl0_2 ),
    inference(avatar_split_clause,[],[f198,f257,f288,f328]) ).

fof(f198,plain,
    ( hskp3
    | hskp8
    | hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f335,plain,
    ( spl0_18
    | spl0_19 ),
    inference(avatar_split_clause,[],[f199,f332,f328]) ).

fof(f199,plain,
    ( hskp24
    | hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f326,plain,
    ( spl0_15
    | spl0_16
    | spl0_17 ),
    inference(avatar_split_clause,[],[f200,f323,f319,f315]) ).

fof(f200,plain,
    ( hskp13
    | hskp27
    | hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f313,plain,
    ( spl0_12
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f201,f310,f306,f302]) ).

fof(f201,plain,
    ( hskp26
    | hskp29
    | hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f300,plain,
    ( spl0_9
    | spl0_6
    | spl0_10 ),
    inference(avatar_split_clause,[],[f202,f292,f275,f288]) ).

fof(f202,plain,
    ( hskp14
    | hskp12
    | hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f273,plain,
    ( spl0_4
    | spl0_5
    | spl0_3 ),
    inference(avatar_split_clause,[],[f205,f261,f270,f266]) ).

fof(f205,plain,
    ( hskp17
    | hskp2
    | hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f264,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f206,f261,f257,f253]) ).

fof(f206,plain,
    ( hskp17
    | hskp3
    | hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN479+1 : TPTP v8.1.2. Released v2.1.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 17:37:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (26717)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37  % (26721)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.37  % (26722)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.37  % (26720)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)
% 0.21/0.37  % (26723)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.37  % (26718)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.37  % (26719)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.37  % (26724)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)
% 0.21/0.38  Detected minimum model sizes of [1]
% 0.21/0.38  Detected maximum model sizes of [31]
% 0.21/0.38  TRYING [1]
% 0.21/0.38  Detected minimum model sizes of [1]
% 0.21/0.38  Detected maximum model sizes of [31]
% 0.21/0.38  TRYING [1]
% 0.21/0.38  TRYING [2]
% 0.21/0.38  TRYING [2]
% 0.21/0.38  TRYING [3]
% 0.21/0.38  Detected minimum model sizes of [1]
% 0.21/0.38  Detected maximum model sizes of [31]
% 0.21/0.38  TRYING [1]
% 0.21/0.38  TRYING [3]
% 0.21/0.38  TRYING [2]
% 0.21/0.38  Detected minimum model sizes of [1]
% 0.21/0.38  Detected maximum model sizes of [31]
% 0.21/0.38  TRYING [1]
% 0.21/0.38  TRYING [3]
% 0.21/0.39  TRYING [2]
% 0.21/0.39  TRYING [4]
% 0.21/0.39  TRYING [3]
% 0.21/0.39  TRYING [4]
% 0.21/0.39  TRYING [4]
% 0.21/0.40  TRYING [4]
% 0.21/0.40  TRYING [5]
% 0.21/0.41  TRYING [5]
% 0.21/0.41  TRYING [5]
% 0.21/0.42  TRYING [5]
% 0.21/0.43  % (26723)First to succeed.
% 0.21/0.44  % (26720)Also succeeded, but the first one will report.
% 0.21/0.45  % (26723)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26717"
% 0.21/0.45  % (26723)Refutation found. Thanks to Tanya!
% 0.21/0.45  % SZS status Theorem for theBenchmark
% 0.21/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.46  % (26723)------------------------------
% 0.21/0.46  % (26723)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.46  % (26723)Termination reason: Refutation
% 0.21/0.46  
% 0.21/0.46  % (26723)Memory used [KB]: 2312
% 0.21/0.46  % (26723)Time elapsed: 0.076 s
% 0.21/0.46  % (26723)Instructions burned: 135 (million)
% 0.21/0.46  % (26717)Success in time 0.092 s
%------------------------------------------------------------------------------