TSTP Solution File: SYN498+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN498+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 : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 18:04:00 EDT 2024

% Result   : Theorem 0.22s 0.45s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  151
% Syntax   : Number of formulae    :  852 (   1 unt;   0 def)
%            Number of atoms       : 7553 (   0 equ)
%            Maximal formula atoms :  752 (   8 avg)
%            Number of connectives : 10229 (3528   ~;4857   |;1218   &)
%                                         ( 150 <=>; 476  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  118 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  187 ( 186 usr; 183 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  935 ( 935   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3807,plain,
    $false,
    inference(avatar_sat_refutation,[],[f258,f276,f285,f294,f329,f341,f360,f361,f374,f385,f393,f394,f398,f399,f403,f409,f410,f411,f420,f437,f438,f439,f460,f461,f465,f469,f473,f474,f478,f482,f487,f489,f493,f498,f500,f505,f509,f514,f515,f521,f522,f523,f524,f529,f533,f537,f538,f539,f570,f575,f580,f586,f591,f596,f602,f607,f612,f618,f623,f628,f634,f639,f644,f650,f655,f660,f698,f703,f708,f714,f719,f724,f730,f735,f740,f746,f751,f756,f762,f767,f772,f778,f783,f788,f789,f794,f799,f810,f815,f820,f826,f831,f836,f842,f847,f852,f874,f879,f884,f890,f895,f900,f911,f916,f922,f927,f932,f938,f943,f948,f954,f959,f964,f970,f975,f980,f981,f986,f991,f996,f1002,f1007,f1012,f1013,f1018,f1023,f1028,f1034,f1039,f1044,f1051,f1057,f1102,f1107,f1155,f1163,f1207,f1239,f1282,f1333,f1338,f1404,f1406,f1454,f1466,f1471,f1500,f1581,f1597,f1623,f1741,f1814,f1820,f1850,f1872,f1876,f1904,f1905,f1908,f1925,f1927,f1965,f1970,f2117,f2148,f2150,f2181,f2224,f2266,f2300,f2306,f2388,f2410,f2460,f2527,f2633,f2640,f2672,f2674,f2725,f2727,f2768,f2774,f2777,f2792,f2806,f2824,f2860,f2866,f2885,f2899,f2928,f3046,f3215,f3289,f3390,f3411,f3472,f3478,f3484,f3486,f3545,f3553,f3571,f3582,f3615,f3635,f3654,f3694,f3710,f3714,f3716,f3730,f3732,f3747,f3767,f3797]) ).

fof(f3797,plain,
    ( ~ spl0_38
    | ~ spl0_59
    | spl0_152
    | spl0_153 ),
    inference(avatar_contradiction_clause,[],[f3796]) ).

fof(f3796,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_59
    | spl0_152
    | spl0_153 ),
    inference(subsumption_resolution,[],[f3775,f1022]) ).

fof(f1022,plain,
    ( ~ c2_1(a2)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f1020]) ).

fof(f1020,plain,
    ( spl0_153
  <=> c2_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f3775,plain,
    ( c2_1(a2)
    | ~ spl0_38
    | ~ spl0_59
    | spl0_152 ),
    inference(resolution,[],[f3768,f1017]) ).

fof(f1017,plain,
    ( ~ c3_1(a2)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f1015]) ).

fof(f1015,plain,
    ( spl0_152
  <=> c3_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f3768,plain,
    ( ! [X86] :
        ( c3_1(X86)
        | c2_1(X86) )
    | ~ spl0_38
    | ~ spl0_59 ),
    inference(subsumption_resolution,[],[f518,f414]) ).

fof(f414,plain,
    ( ! [X26] :
        ( ~ c0_1(X26)
        | c2_1(X26)
        | c3_1(X26) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f413,plain,
    ( spl0_38
  <=> ! [X26] :
        ( ~ c0_1(X26)
        | c2_1(X26)
        | c3_1(X26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f518,plain,
    ( ! [X86] :
        ( c3_1(X86)
        | c0_1(X86)
        | c2_1(X86) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f517,plain,
    ( spl0_59
  <=> ! [X86] :
        ( c3_1(X86)
        | c0_1(X86)
        | c2_1(X86) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f3767,plain,
    ( ~ spl0_47
    | spl0_140
    | spl0_141
    | ~ spl0_170 ),
    inference(avatar_contradiction_clause,[],[f3766]) ).

fof(f3766,plain,
    ( $false
    | ~ spl0_47
    | spl0_140
    | spl0_141
    | ~ spl0_170 ),
    inference(subsumption_resolution,[],[f3765,f953]) ).

fof(f953,plain,
    ( ~ c2_1(a11)
    | spl0_140 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f951,plain,
    ( spl0_140
  <=> c2_1(a11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f3765,plain,
    ( c2_1(a11)
    | ~ spl0_47
    | spl0_141
    | ~ spl0_170 ),
    inference(subsumption_resolution,[],[f3764,f958]) ).

fof(f958,plain,
    ( ~ c1_1(a11)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f956,plain,
    ( spl0_141
  <=> c1_1(a11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f3764,plain,
    ( c1_1(a11)
    | c2_1(a11)
    | ~ spl0_47
    | ~ spl0_170 ),
    inference(resolution,[],[f2048,f456]) ).

fof(f456,plain,
    ( ! [X40] :
        ( ~ c3_1(X40)
        | c1_1(X40)
        | c2_1(X40) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f455,plain,
    ( spl0_47
  <=> ! [X40] :
        ( ~ c3_1(X40)
        | c1_1(X40)
        | c2_1(X40) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f2048,plain,
    ( c3_1(a11)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f2047]) ).

fof(f2047,plain,
    ( spl0_170
  <=> c3_1(a11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f3747,plain,
    ( ~ spl0_37
    | ~ spl0_61
    | spl0_140
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f3746]) ).

fof(f3746,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_61
    | spl0_140
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f3736,f953]) ).

fof(f3736,plain,
    ( c2_1(a11)
    | ~ spl0_37
    | ~ spl0_61
    | ~ spl0_142 ),
    inference(resolution,[],[f3733,f963]) ).

fof(f963,plain,
    ( c0_1(a11)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f961,plain,
    ( spl0_142
  <=> c0_1(a11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f3733,plain,
    ( ! [X103] :
        ( ~ c0_1(X103)
        | c2_1(X103) )
    | ~ spl0_37
    | ~ spl0_61 ),
    inference(subsumption_resolution,[],[f532,f406]) ).

fof(f406,plain,
    ( ! [X19] :
        ( ~ c1_1(X19)
        | c2_1(X19)
        | ~ c0_1(X19) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f405,plain,
    ( spl0_37
  <=> ! [X19] :
        ( ~ c1_1(X19)
        | c2_1(X19)
        | ~ c0_1(X19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f532,plain,
    ( ! [X103] :
        ( ~ c0_1(X103)
        | c1_1(X103)
        | c2_1(X103) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f531,plain,
    ( spl0_61
  <=> ! [X103] :
        ( ~ c0_1(X103)
        | c1_1(X103)
        | c2_1(X103) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f3732,plain,
    ( spl0_172
    | ~ spl0_55
    | spl0_95
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f3731,f716,f711,f495,f2215]) ).

fof(f2215,plain,
    ( spl0_172
  <=> c2_1(a37) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f495,plain,
    ( spl0_55
  <=> ! [X67] :
        ( ~ c3_1(X67)
        | c0_1(X67)
        | c2_1(X67) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f711,plain,
    ( spl0_95
  <=> c0_1(a37) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f716,plain,
    ( spl0_96
  <=> c3_1(a37) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f3731,plain,
    ( c2_1(a37)
    | ~ spl0_55
    | spl0_95
    | ~ spl0_96 ),
    inference(subsumption_resolution,[],[f3722,f713]) ).

fof(f713,plain,
    ( ~ c0_1(a37)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f3722,plain,
    ( c0_1(a37)
    | c2_1(a37)
    | ~ spl0_55
    | ~ spl0_96 ),
    inference(resolution,[],[f496,f718]) ).

fof(f718,plain,
    ( c3_1(a37)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f496,plain,
    ( ! [X67] :
        ( ~ c3_1(X67)
        | c0_1(X67)
        | c2_1(X67) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f3730,plain,
    ( ~ spl0_55
    | spl0_104
    | spl0_105
    | ~ spl0_106 ),
    inference(avatar_contradiction_clause,[],[f3729]) ).

fof(f3729,plain,
    ( $false
    | ~ spl0_55
    | spl0_104
    | spl0_105
    | ~ spl0_106 ),
    inference(subsumption_resolution,[],[f3728,f761]) ).

fof(f761,plain,
    ( ~ c2_1(a28)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f759]) ).

fof(f759,plain,
    ( spl0_104
  <=> c2_1(a28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f3728,plain,
    ( c2_1(a28)
    | ~ spl0_55
    | spl0_105
    | ~ spl0_106 ),
    inference(subsumption_resolution,[],[f3720,f766]) ).

fof(f766,plain,
    ( ~ c0_1(a28)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f764,plain,
    ( spl0_105
  <=> c0_1(a28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f3720,plain,
    ( c0_1(a28)
    | c2_1(a28)
    | ~ spl0_55
    | ~ spl0_106 ),
    inference(resolution,[],[f496,f771]) ).

fof(f771,plain,
    ( c3_1(a28)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f769,plain,
    ( spl0_106
  <=> c3_1(a28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f3716,plain,
    ( ~ spl0_168
    | ~ spl0_23
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f3715,f1009,f1004,f343,f1558]) ).

fof(f1558,plain,
    ( spl0_168
  <=> c0_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f343,plain,
    ( spl0_23
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1004,plain,
    ( spl0_150
  <=> c3_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1009,plain,
    ( spl0_151
  <=> c1_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f3715,plain,
    ( ~ c0_1(a3)
    | ~ spl0_23
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f3712,f1006]) ).

fof(f1006,plain,
    ( c3_1(a3)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1004]) ).

fof(f3712,plain,
    ( ~ c0_1(a3)
    | ~ c3_1(a3)
    | ~ spl0_23
    | ~ spl0_151 ),
    inference(resolution,[],[f1011,f344]) ).

fof(f344,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f1011,plain,
    ( c1_1(a3)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f1009]) ).

fof(f3714,plain,
    ( ~ spl0_168
    | ~ spl0_37
    | spl0_149
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f3713,f1009,f999,f405,f1558]) ).

fof(f999,plain,
    ( spl0_149
  <=> c2_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f3713,plain,
    ( ~ c0_1(a3)
    | ~ spl0_37
    | spl0_149
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f3711,f1001]) ).

fof(f1001,plain,
    ( ~ c2_1(a3)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f999]) ).

fof(f3711,plain,
    ( c2_1(a3)
    | ~ c0_1(a3)
    | ~ spl0_37
    | ~ spl0_151 ),
    inference(resolution,[],[f1011,f406]) ).

fof(f3710,plain,
    ( ~ spl0_162
    | ~ spl0_109
    | ~ spl0_50
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f3659,f780,f471,f785,f1133]) ).

fof(f1133,plain,
    ( spl0_162
  <=> c2_1(a27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f785,plain,
    ( spl0_109
  <=> c0_1(a27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f471,plain,
    ( spl0_50
  <=> ! [X52] :
        ( ~ c3_1(X52)
        | ~ c0_1(X52)
        | ~ c2_1(X52) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f780,plain,
    ( spl0_108
  <=> c3_1(a27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f3659,plain,
    ( ~ c0_1(a27)
    | ~ c2_1(a27)
    | ~ spl0_50
    | ~ spl0_108 ),
    inference(resolution,[],[f472,f782]) ).

fof(f782,plain,
    ( c3_1(a27)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f472,plain,
    ( ! [X52] :
        ( ~ c3_1(X52)
        | ~ c0_1(X52)
        | ~ c2_1(X52) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f3694,plain,
    ( spl0_162
    | spl0_107
    | ~ spl0_47
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f3645,f780,f455,f775,f1133]) ).

fof(f775,plain,
    ( spl0_107
  <=> c1_1(a27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f3645,plain,
    ( c1_1(a27)
    | c2_1(a27)
    | ~ spl0_47
    | ~ spl0_108 ),
    inference(resolution,[],[f456,f782]) ).

fof(f3654,plain,
    ( spl0_173
    | ~ spl0_47
    | spl0_104
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f3653,f769,f759,f455,f2390]) ).

fof(f2390,plain,
    ( spl0_173
  <=> c1_1(a28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f3653,plain,
    ( c1_1(a28)
    | ~ spl0_47
    | spl0_104
    | ~ spl0_106 ),
    inference(subsumption_resolution,[],[f3646,f761]) ).

fof(f3646,plain,
    ( c1_1(a28)
    | c2_1(a28)
    | ~ spl0_47
    | ~ spl0_106 ),
    inference(resolution,[],[f456,f771]) ).

fof(f3635,plain,
    ( spl0_170
    | ~ spl0_46
    | spl0_141
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f3634,f961,f956,f451,f2047]) ).

fof(f451,plain,
    ( spl0_46
  <=> ! [X39] :
        ( ~ c0_1(X39)
        | c1_1(X39)
        | c3_1(X39) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f3634,plain,
    ( c3_1(a11)
    | ~ spl0_46
    | spl0_141
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f3622,f958]) ).

fof(f3622,plain,
    ( c1_1(a11)
    | c3_1(a11)
    | ~ spl0_46
    | ~ spl0_142 ),
    inference(resolution,[],[f452,f963]) ).

fof(f452,plain,
    ( ! [X39] :
        ( ~ c0_1(X39)
        | c1_1(X39)
        | c3_1(X39) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f3615,plain,
    ( ~ spl0_38
    | spl0_143
    | spl0_144
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f3614]) ).

fof(f3614,plain,
    ( $false
    | ~ spl0_38
    | spl0_143
    | spl0_144
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f3613,f969]) ).

fof(f969,plain,
    ( ~ c3_1(a9)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f967]) ).

fof(f967,plain,
    ( spl0_143
  <=> c3_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f3613,plain,
    ( c3_1(a9)
    | ~ spl0_38
    | spl0_144
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f3601,f974]) ).

fof(f974,plain,
    ( ~ c2_1(a9)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f972]) ).

fof(f972,plain,
    ( spl0_144
  <=> c2_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f3601,plain,
    ( c2_1(a9)
    | c3_1(a9)
    | ~ spl0_38
    | ~ spl0_145 ),
    inference(resolution,[],[f414,f979]) ).

fof(f979,plain,
    ( c0_1(a9)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f977]) ).

fof(f977,plain,
    ( spl0_145
  <=> c0_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f3582,plain,
    ( ~ spl0_166
    | ~ spl0_23
    | ~ spl0_71
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f3581,f593,f583,f343,f1371]) ).

fof(f1371,plain,
    ( spl0_166
  <=> c0_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f583,plain,
    ( spl0_71
  <=> c3_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f593,plain,
    ( spl0_73
  <=> c1_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f3581,plain,
    ( ~ c0_1(a25)
    | ~ spl0_23
    | ~ spl0_71
    | ~ spl0_73 ),
    inference(subsumption_resolution,[],[f3580,f585]) ).

fof(f585,plain,
    ( c3_1(a25)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f3580,plain,
    ( ~ c0_1(a25)
    | ~ c3_1(a25)
    | ~ spl0_23
    | ~ spl0_73 ),
    inference(resolution,[],[f595,f344]) ).

fof(f595,plain,
    ( c1_1(a25)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f3571,plain,
    ( ~ spl0_53
    | ~ spl0_59
    | spl0_137
    | spl0_139 ),
    inference(avatar_contradiction_clause,[],[f3570]) ).

fof(f3570,plain,
    ( $false
    | ~ spl0_53
    | ~ spl0_59
    | spl0_137
    | spl0_139 ),
    inference(subsumption_resolution,[],[f3558,f937]) ).

fof(f937,plain,
    ( ~ c3_1(a13)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f935,plain,
    ( spl0_137
  <=> c3_1(a13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f3558,plain,
    ( c3_1(a13)
    | ~ spl0_53
    | ~ spl0_59
    | spl0_139 ),
    inference(resolution,[],[f3546,f947]) ).

fof(f947,plain,
    ( ~ c0_1(a13)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f945]) ).

fof(f945,plain,
    ( spl0_139
  <=> c0_1(a13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f3546,plain,
    ( ! [X86] :
        ( c0_1(X86)
        | c3_1(X86) )
    | ~ spl0_53
    | ~ spl0_59 ),
    inference(subsumption_resolution,[],[f518,f485]) ).

fof(f485,plain,
    ( ! [X59] :
        ( ~ c2_1(X59)
        | c0_1(X59)
        | c3_1(X59) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f484,plain,
    ( spl0_53
  <=> ! [X59] :
        ( ~ c2_1(X59)
        | c0_1(X59)
        | c3_1(X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f3553,plain,
    ( ~ spl0_147
    | ~ spl0_23
    | ~ spl0_148
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f3552,f2407,f993,f343,f988]) ).

fof(f988,plain,
    ( spl0_147
  <=> c3_1(a7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f993,plain,
    ( spl0_148
  <=> c0_1(a7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f2407,plain,
    ( spl0_176
  <=> c1_1(a7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f3552,plain,
    ( ~ c3_1(a7)
    | ~ spl0_23
    | ~ spl0_148
    | ~ spl0_176 ),
    inference(subsumption_resolution,[],[f3116,f995]) ).

fof(f995,plain,
    ( c0_1(a7)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f993]) ).

fof(f3116,plain,
    ( ~ c0_1(a7)
    | ~ c3_1(a7)
    | ~ spl0_23
    | ~ spl0_176 ),
    inference(resolution,[],[f2409,f344]) ).

fof(f2409,plain,
    ( c1_1(a7)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f2407]) ).

fof(f3545,plain,
    ( spl0_120
    | ~ spl0_44
    | ~ spl0_53
    | spl0_119
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f3544,f849,f839,f484,f441,f844]) ).

fof(f844,plain,
    ( spl0_120
  <=> c1_1(a20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f441,plain,
    ( spl0_44
  <=> ! [X33] :
        ( ~ c2_1(X33)
        | c1_1(X33)
        | ~ c0_1(X33) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f839,plain,
    ( spl0_119
  <=> c3_1(a20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f849,plain,
    ( spl0_121
  <=> c2_1(a20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f3544,plain,
    ( c1_1(a20)
    | ~ spl0_44
    | ~ spl0_53
    | spl0_119
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f3537,f851]) ).

fof(f851,plain,
    ( c2_1(a20)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f3537,plain,
    ( c1_1(a20)
    | ~ c2_1(a20)
    | ~ spl0_44
    | ~ spl0_53
    | spl0_119
    | ~ spl0_121 ),
    inference(resolution,[],[f3440,f442]) ).

fof(f442,plain,
    ( ! [X33] :
        ( ~ c0_1(X33)
        | c1_1(X33)
        | ~ c2_1(X33) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f3440,plain,
    ( c0_1(a20)
    | ~ spl0_53
    | spl0_119
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f3427,f841]) ).

fof(f841,plain,
    ( ~ c3_1(a20)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f3427,plain,
    ( c0_1(a20)
    | c3_1(a20)
    | ~ spl0_53
    | ~ spl0_121 ),
    inference(resolution,[],[f485,f851]) ).

fof(f3486,plain,
    ( spl0_172
    | ~ spl0_58
    | spl0_95
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f3479,f721,f711,f511,f2215]) ).

fof(f511,plain,
    ( spl0_58
  <=> ! [X80] :
        ( ~ c1_1(X80)
        | c0_1(X80)
        | c2_1(X80) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f721,plain,
    ( spl0_97
  <=> c1_1(a37) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f3479,plain,
    ( c2_1(a37)
    | ~ spl0_58
    | spl0_95
    | ~ spl0_97 ),
    inference(subsumption_resolution,[],[f3459,f713]) ).

fof(f3459,plain,
    ( c0_1(a37)
    | c2_1(a37)
    | ~ spl0_58
    | ~ spl0_97 ),
    inference(resolution,[],[f512,f723]) ).

fof(f723,plain,
    ( c1_1(a37)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f512,plain,
    ( ! [X80] :
        ( ~ c1_1(X80)
        | c0_1(X80)
        | c2_1(X80) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f3484,plain,
    ( spl0_149
    | ~ spl0_58
    | ~ spl0_151
    | spl0_168 ),
    inference(avatar_split_clause,[],[f3464,f1558,f1009,f511,f999]) ).

fof(f3464,plain,
    ( c2_1(a3)
    | ~ spl0_58
    | ~ spl0_151
    | spl0_168 ),
    inference(subsumption_resolution,[],[f3450,f1560]) ).

fof(f1560,plain,
    ( ~ c0_1(a3)
    | spl0_168 ),
    inference(avatar_component_clause,[],[f1558]) ).

fof(f3450,plain,
    ( c0_1(a3)
    | c2_1(a3)
    | ~ spl0_58
    | ~ spl0_151 ),
    inference(resolution,[],[f512,f1011]) ).

fof(f3478,plain,
    ( ~ spl0_58
    | spl0_104
    | spl0_105
    | ~ spl0_173 ),
    inference(avatar_contradiction_clause,[],[f3477]) ).

fof(f3477,plain,
    ( $false
    | ~ spl0_58
    | spl0_104
    | spl0_105
    | ~ spl0_173 ),
    inference(subsumption_resolution,[],[f3476,f761]) ).

fof(f3476,plain,
    ( c2_1(a28)
    | ~ spl0_58
    | spl0_105
    | ~ spl0_173 ),
    inference(subsumption_resolution,[],[f3457,f766]) ).

fof(f3457,plain,
    ( c0_1(a28)
    | c2_1(a28)
    | ~ spl0_58
    | ~ spl0_173 ),
    inference(resolution,[],[f512,f2392]) ).

fof(f2392,plain,
    ( c1_1(a28)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f2390]) ).

fof(f3472,plain,
    ( ~ spl0_58
    | spl0_134
    | spl0_135
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f3471]) ).

fof(f3471,plain,
    ( $false
    | ~ spl0_58
    | spl0_134
    | spl0_135
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f3470,f921]) ).

fof(f921,plain,
    ( ~ c2_1(a14)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f919,plain,
    ( spl0_134
  <=> c2_1(a14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f3470,plain,
    ( c2_1(a14)
    | ~ spl0_58
    | spl0_135
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f3453,f926]) ).

fof(f926,plain,
    ( ~ c0_1(a14)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f924,plain,
    ( spl0_135
  <=> c0_1(a14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f3453,plain,
    ( c0_1(a14)
    | c2_1(a14)
    | ~ spl0_58
    | ~ spl0_136 ),
    inference(resolution,[],[f512,f931]) ).

fof(f931,plain,
    ( c1_1(a14)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f929]) ).

fof(f929,plain,
    ( spl0_136
  <=> c1_1(a14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f3411,plain,
    ( ~ spl0_174
    | ~ spl0_21
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f3410,f817,f812,f335,f2397]) ).

fof(f2397,plain,
    ( spl0_174
  <=> c1_1(a22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f335,plain,
    ( spl0_21
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f812,plain,
    ( spl0_114
  <=> c3_1(a22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f817,plain,
    ( spl0_115
  <=> c2_1(a22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f3410,plain,
    ( ~ c1_1(a22)
    | ~ spl0_21
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(subsumption_resolution,[],[f3399,f814]) ).

fof(f814,plain,
    ( c3_1(a22)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f3399,plain,
    ( ~ c1_1(a22)
    | ~ c3_1(a22)
    | ~ spl0_21
    | ~ spl0_115 ),
    inference(resolution,[],[f336,f819]) ).

fof(f819,plain,
    ( c2_1(a22)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f336,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f335]) ).

fof(f3390,plain,
    ( ~ spl0_45
    | spl0_119
    | spl0_120
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f3389]) ).

fof(f3389,plain,
    ( $false
    | ~ spl0_45
    | spl0_119
    | spl0_120
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f3388,f851]) ).

fof(f3388,plain,
    ( ~ c2_1(a20)
    | ~ spl0_45
    | spl0_119
    | spl0_120 ),
    inference(subsumption_resolution,[],[f3377,f846]) ).

fof(f846,plain,
    ( ~ c1_1(a20)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f3377,plain,
    ( c1_1(a20)
    | ~ c2_1(a20)
    | ~ spl0_45
    | spl0_119 ),
    inference(resolution,[],[f448,f841]) ).

fof(f448,plain,
    ( ! [X37] :
        ( c3_1(X37)
        | c1_1(X37)
        | ~ c2_1(X37) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f447,plain,
    ( spl0_45
  <=> ! [X37] :
        ( ~ c2_1(X37)
        | c1_1(X37)
        | c3_1(X37) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f3289,plain,
    ( ~ spl0_21
    | ~ spl0_96
    | ~ spl0_97
    | ~ spl0_172 ),
    inference(avatar_contradiction_clause,[],[f3288]) ).

fof(f3288,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_96
    | ~ spl0_97
    | ~ spl0_172 ),
    inference(subsumption_resolution,[],[f3287,f718]) ).

fof(f3287,plain,
    ( ~ c3_1(a37)
    | ~ spl0_21
    | ~ spl0_97
    | ~ spl0_172 ),
    inference(subsumption_resolution,[],[f3273,f723]) ).

fof(f3273,plain,
    ( ~ c1_1(a37)
    | ~ c3_1(a37)
    | ~ spl0_21
    | ~ spl0_172 ),
    inference(resolution,[],[f336,f2217]) ).

fof(f2217,plain,
    ( c2_1(a37)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f2215]) ).

fof(f3215,plain,
    ( ~ spl0_47
    | ~ spl0_57
    | spl0_125
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f3214]) ).

fof(f3214,plain,
    ( $false
    | ~ spl0_47
    | ~ spl0_57
    | spl0_125
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f3205,f873]) ).

fof(f873,plain,
    ( ~ c1_1(a18)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f871]) ).

fof(f871,plain,
    ( spl0_125
  <=> c1_1(a18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f3205,plain,
    ( c1_1(a18)
    | ~ spl0_47
    | ~ spl0_57
    | ~ spl0_127 ),
    inference(resolution,[],[f3192,f883]) ).

fof(f883,plain,
    ( c3_1(a18)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f881,plain,
    ( spl0_127
  <=> c3_1(a18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f3192,plain,
    ( ! [X77] :
        ( ~ c3_1(X77)
        | c1_1(X77) )
    | ~ spl0_47
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f508,f456]) ).

fof(f508,plain,
    ( ! [X77] :
        ( ~ c3_1(X77)
        | c1_1(X77)
        | ~ c2_1(X77) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f507,plain,
    ( spl0_57
  <=> ! [X77] :
        ( ~ c3_1(X77)
        | c1_1(X77)
        | ~ c2_1(X77) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f3046,plain,
    ( spl0_167
    | ~ spl0_53
    | spl0_155
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f3045,f1036,f1031,f484,f1401]) ).

fof(f1401,plain,
    ( spl0_167
  <=> c0_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f1031,plain,
    ( spl0_155
  <=> c3_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1036,plain,
    ( spl0_156
  <=> c2_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f3045,plain,
    ( c0_1(a1)
    | ~ spl0_53
    | spl0_155
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f3006,f1033]) ).

fof(f1033,plain,
    ( ~ c3_1(a1)
    | spl0_155 ),
    inference(avatar_component_clause,[],[f1031]) ).

fof(f3006,plain,
    ( c0_1(a1)
    | c3_1(a1)
    | ~ spl0_53
    | ~ spl0_156 ),
    inference(resolution,[],[f485,f1038]) ).

fof(f1038,plain,
    ( c2_1(a1)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1036]) ).

fof(f2928,plain,
    ( ~ spl0_31
    | spl0_128
    | ~ spl0_129
    | ~ spl0_164 ),
    inference(avatar_contradiction_clause,[],[f2927]) ).

fof(f2927,plain,
    ( $false
    | ~ spl0_31
    | spl0_128
    | ~ spl0_129
    | ~ spl0_164 ),
    inference(subsumption_resolution,[],[f2926,f894]) ).

fof(f894,plain,
    ( c1_1(a16)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f892,plain,
    ( spl0_129
  <=> c1_1(a16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2926,plain,
    ( ~ c1_1(a16)
    | ~ spl0_31
    | spl0_128
    | ~ spl0_164 ),
    inference(subsumption_resolution,[],[f2905,f889]) ).

fof(f889,plain,
    ( ~ c3_1(a16)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f887,plain,
    ( spl0_128
  <=> c3_1(a16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f2905,plain,
    ( c3_1(a16)
    | ~ c1_1(a16)
    | ~ spl0_31
    | ~ spl0_164 ),
    inference(resolution,[],[f380,f1281]) ).

fof(f1281,plain,
    ( c2_1(a16)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1279]) ).

fof(f1279,plain,
    ( spl0_164
  <=> c2_1(a16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f380,plain,
    ( ! [X10] :
        ( ~ c2_1(X10)
        | c3_1(X10)
        | ~ c1_1(X10) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f379,plain,
    ( spl0_31
  <=> ! [X10] :
        ( ~ c2_1(X10)
        | c3_1(X10)
        | ~ c1_1(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f2899,plain,
    ( ~ spl0_158
    | ~ spl0_70
    | ~ spl0_23
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2543,f572,f343,f577,f1060]) ).

fof(f1060,plain,
    ( spl0_158
  <=> c3_1(a35) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f577,plain,
    ( spl0_70
  <=> c0_1(a35) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f572,plain,
    ( spl0_69
  <=> c1_1(a35) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f2543,plain,
    ( ~ c0_1(a35)
    | ~ c3_1(a35)
    | ~ spl0_23
    | ~ spl0_69 ),
    inference(resolution,[],[f574,f344]) ).

fof(f574,plain,
    ( c1_1(a35)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f2885,plain,
    ( ~ spl0_37
    | ~ spl0_47
    | ~ spl0_48
    | spl0_146
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f2884]) ).

fof(f2884,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_47
    | ~ spl0_48
    | spl0_146
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f2874,f985]) ).

fof(f985,plain,
    ( ~ c2_1(a7)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f983]) ).

fof(f983,plain,
    ( spl0_146
  <=> c2_1(a7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f2874,plain,
    ( c2_1(a7)
    | ~ spl0_37
    | ~ spl0_47
    | ~ spl0_48
    | ~ spl0_148 ),
    inference(resolution,[],[f2867,f995]) ).

fof(f2867,plain,
    ( ! [X19] :
        ( ~ c0_1(X19)
        | c2_1(X19) )
    | ~ spl0_37
    | ~ spl0_47
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f406,f2781]) ).

fof(f2781,plain,
    ( ! [X40] :
        ( c2_1(X40)
        | c1_1(X40) )
    | ~ spl0_47
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f456,f464]) ).

fof(f464,plain,
    ( ! [X49] :
        ( c3_1(X49)
        | c1_1(X49)
        | c2_1(X49) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f463,plain,
    ( spl0_48
  <=> ! [X49] :
        ( c3_1(X49)
        | c1_1(X49)
        | c2_1(X49) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f2866,plain,
    ( spl0_111
    | ~ spl0_47
    | ~ spl0_48
    | spl0_110 ),
    inference(avatar_split_clause,[],[f2822,f791,f463,f455,f796]) ).

fof(f796,plain,
    ( spl0_111
  <=> c1_1(a24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f791,plain,
    ( spl0_110
  <=> c2_1(a24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f2822,plain,
    ( c1_1(a24)
    | ~ spl0_47
    | ~ spl0_48
    | spl0_110 ),
    inference(resolution,[],[f2781,f793]) ).

fof(f793,plain,
    ( ~ c2_1(a24)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f2860,plain,
    ( ~ spl0_47
    | ~ spl0_48
    | ~ spl0_58
    | spl0_153
    | spl0_154 ),
    inference(avatar_contradiction_clause,[],[f2859]) ).

fof(f2859,plain,
    ( $false
    | ~ spl0_47
    | ~ spl0_48
    | ~ spl0_58
    | spl0_153
    | spl0_154 ),
    inference(subsumption_resolution,[],[f2842,f1022]) ).

fof(f2842,plain,
    ( c2_1(a2)
    | ~ spl0_47
    | ~ spl0_48
    | ~ spl0_58
    | spl0_154 ),
    inference(resolution,[],[f2826,f1027]) ).

fof(f1027,plain,
    ( ~ c0_1(a2)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f1025]) ).

fof(f1025,plain,
    ( spl0_154
  <=> c0_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f2826,plain,
    ( ! [X80] :
        ( c0_1(X80)
        | c2_1(X80) )
    | ~ spl0_47
    | ~ spl0_48
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f512,f2781]) ).

fof(f2824,plain,
    ( spl0_60
    | ~ spl0_47
    | ~ spl0_48
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f2818,f467,f463,f455,f527]) ).

fof(f527,plain,
    ( spl0_60
  <=> ! [X102] :
        ( ~ c3_1(X102)
        | c0_1(X102)
        | c1_1(X102) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f467,plain,
    ( spl0_49
  <=> ! [X50] :
        ( ~ c3_1(X50)
        | c0_1(X50)
        | ~ c2_1(X50) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f2818,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_47
    | ~ spl0_48
    | ~ spl0_49 ),
    inference(resolution,[],[f2781,f468]) ).

fof(f468,plain,
    ( ! [X50] :
        ( ~ c2_1(X50)
        | c0_1(X50)
        | ~ c3_1(X50) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f2806,plain,
    ( ~ spl0_37
    | ~ spl0_61
    | spl0_144
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f2805]) ).

fof(f2805,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_61
    | spl0_144
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f2803,f974]) ).

fof(f2803,plain,
    ( c2_1(a9)
    | ~ spl0_37
    | ~ spl0_61
    | ~ spl0_145 ),
    inference(resolution,[],[f979,f2733]) ).

fof(f2733,plain,
    ( ! [X103] :
        ( ~ c0_1(X103)
        | c2_1(X103) )
    | ~ spl0_37
    | ~ spl0_61 ),
    inference(subsumption_resolution,[],[f532,f406]) ).

fof(f2792,plain,
    ( spl0_162
    | ~ spl0_36
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2791,f785,f780,f401,f1133]) ).

fof(f401,plain,
    ( spl0_36
  <=> ! [X18] :
        ( ~ c3_1(X18)
        | c2_1(X18)
        | ~ c0_1(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f2791,plain,
    ( c2_1(a27)
    | ~ spl0_36
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(subsumption_resolution,[],[f2789,f782]) ).

fof(f2789,plain,
    ( c2_1(a27)
    | ~ c3_1(a27)
    | ~ spl0_36
    | ~ spl0_109 ),
    inference(resolution,[],[f787,f402]) ).

fof(f402,plain,
    ( ! [X18] :
        ( ~ c0_1(X18)
        | c2_1(X18)
        | ~ c3_1(X18) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f787,plain,
    ( c0_1(a27)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f2777,plain,
    ( ~ spl0_62
    | spl0_83
    | spl0_84
    | ~ spl0_85 ),
    inference(avatar_contradiction_clause,[],[f2776]) ).

fof(f2776,plain,
    ( $false
    | ~ spl0_62
    | spl0_83
    | spl0_84
    | ~ spl0_85 ),
    inference(subsumption_resolution,[],[f2775,f649]) ).

fof(f649,plain,
    ( ~ c1_1(a58)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f647,plain,
    ( spl0_83
  <=> c1_1(a58) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f2775,plain,
    ( c1_1(a58)
    | ~ spl0_62
    | spl0_84
    | ~ spl0_85 ),
    inference(subsumption_resolution,[],[f2757,f654]) ).

fof(f654,plain,
    ( ~ c0_1(a58)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f652,plain,
    ( spl0_84
  <=> c0_1(a58) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f2757,plain,
    ( c0_1(a58)
    | c1_1(a58)
    | ~ spl0_62
    | ~ spl0_85 ),
    inference(resolution,[],[f536,f659]) ).

fof(f659,plain,
    ( c2_1(a58)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f657,plain,
    ( spl0_85
  <=> c2_1(a58) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f536,plain,
    ( ! [X106] :
        ( ~ c2_1(X106)
        | c0_1(X106)
        | c1_1(X106) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f535,plain,
    ( spl0_62
  <=> ! [X106] :
        ( ~ c2_1(X106)
        | c0_1(X106)
        | c1_1(X106) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f2774,plain,
    ( spl0_174
    | ~ spl0_62
    | spl0_113
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f2773,f817,f807,f535,f2397]) ).

fof(f807,plain,
    ( spl0_113
  <=> c0_1(a22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f2773,plain,
    ( c1_1(a22)
    | ~ spl0_62
    | spl0_113
    | ~ spl0_115 ),
    inference(subsumption_resolution,[],[f2752,f809]) ).

fof(f809,plain,
    ( ~ c0_1(a22)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f2752,plain,
    ( c0_1(a22)
    | c1_1(a22)
    | ~ spl0_62
    | ~ spl0_115 ),
    inference(resolution,[],[f536,f819]) ).

fof(f2768,plain,
    ( ~ spl0_48
    | ~ spl0_62
    | spl0_137
    | spl0_138
    | spl0_139 ),
    inference(avatar_contradiction_clause,[],[f2767]) ).

fof(f2767,plain,
    ( $false
    | ~ spl0_48
    | ~ spl0_62
    | spl0_137
    | spl0_138
    | spl0_139 ),
    inference(subsumption_resolution,[],[f2766,f942]) ).

fof(f942,plain,
    ( ~ c1_1(a13)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f940,plain,
    ( spl0_138
  <=> c1_1(a13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2766,plain,
    ( c1_1(a13)
    | ~ spl0_48
    | ~ spl0_62
    | spl0_137
    | spl0_138
    | spl0_139 ),
    inference(subsumption_resolution,[],[f2747,f947]) ).

fof(f2747,plain,
    ( c0_1(a13)
    | c1_1(a13)
    | ~ spl0_48
    | ~ spl0_62
    | spl0_137
    | spl0_138 ),
    inference(resolution,[],[f536,f2596]) ).

fof(f2596,plain,
    ( c2_1(a13)
    | ~ spl0_48
    | spl0_137
    | spl0_138 ),
    inference(subsumption_resolution,[],[f2577,f942]) ).

fof(f2577,plain,
    ( c1_1(a13)
    | c2_1(a13)
    | ~ spl0_48
    | spl0_137 ),
    inference(resolution,[],[f464,f937]) ).

fof(f2727,plain,
    ( spl0_173
    | ~ spl0_60
    | spl0_105
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2726,f769,f764,f527,f2390]) ).

fof(f2726,plain,
    ( c1_1(a28)
    | ~ spl0_60
    | spl0_105
    | ~ spl0_106 ),
    inference(subsumption_resolution,[],[f2714,f766]) ).

fof(f2714,plain,
    ( c0_1(a28)
    | c1_1(a28)
    | ~ spl0_60
    | ~ spl0_106 ),
    inference(resolution,[],[f528,f771]) ).

fof(f528,plain,
    ( ! [X102] :
        ( ~ c3_1(X102)
        | c0_1(X102)
        | c1_1(X102) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f2725,plain,
    ( ~ spl0_60
    | spl0_125
    | spl0_126
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f2724]) ).

fof(f2724,plain,
    ( $false
    | ~ spl0_60
    | spl0_125
    | spl0_126
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f2723,f873]) ).

fof(f2723,plain,
    ( c1_1(a18)
    | ~ spl0_60
    | spl0_126
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f2712,f878]) ).

fof(f878,plain,
    ( ~ c0_1(a18)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f876,plain,
    ( spl0_126
  <=> c0_1(a18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f2712,plain,
    ( c0_1(a18)
    | c1_1(a18)
    | ~ spl0_60
    | ~ spl0_127 ),
    inference(resolution,[],[f528,f883]) ).

fof(f2674,plain,
    ( ~ spl0_48
    | ~ spl0_56
    | spl0_143
    | spl0_144 ),
    inference(avatar_contradiction_clause,[],[f2673]) ).

fof(f2673,plain,
    ( $false
    | ~ spl0_48
    | ~ spl0_56
    | spl0_143
    | spl0_144 ),
    inference(subsumption_resolution,[],[f2653,f974]) ).

fof(f2653,plain,
    ( c2_1(a9)
    | ~ spl0_48
    | ~ spl0_56
    | spl0_143 ),
    inference(resolution,[],[f2646,f969]) ).

fof(f2646,plain,
    ( ! [X75] :
        ( c3_1(X75)
        | c2_1(X75) )
    | ~ spl0_48
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f504,f464]) ).

fof(f504,plain,
    ( ! [X75] :
        ( ~ c1_1(X75)
        | c2_1(X75)
        | c3_1(X75) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f503,plain,
    ( spl0_56
  <=> ! [X75] :
        ( ~ c1_1(X75)
        | c2_1(X75)
        | c3_1(X75) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f2672,plain,
    ( ~ spl0_48
    | ~ spl0_56
    | spl0_152
    | spl0_153 ),
    inference(avatar_contradiction_clause,[],[f2671]) ).

fof(f2671,plain,
    ( $false
    | ~ spl0_48
    | ~ spl0_56
    | spl0_152
    | spl0_153 ),
    inference(subsumption_resolution,[],[f2650,f1022]) ).

fof(f2650,plain,
    ( c2_1(a2)
    | ~ spl0_48
    | ~ spl0_56
    | spl0_152 ),
    inference(resolution,[],[f2646,f1017]) ).

fof(f2640,plain,
    ( ~ spl0_54
    | spl0_77
    | ~ spl0_79
    | spl0_165 ),
    inference(avatar_contradiction_clause,[],[f2639]) ).

fof(f2639,plain,
    ( $false
    | ~ spl0_54
    | spl0_77
    | ~ spl0_79
    | spl0_165 ),
    inference(subsumption_resolution,[],[f2638,f1336]) ).

fof(f1336,plain,
    ( ~ c3_1(a99)
    | spl0_165 ),
    inference(avatar_component_clause,[],[f1335]) ).

fof(f1335,plain,
    ( spl0_165
  <=> c3_1(a99) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f2638,plain,
    ( c3_1(a99)
    | ~ spl0_54
    | spl0_77
    | ~ spl0_79 ),
    inference(subsumption_resolution,[],[f2624,f617]) ).

fof(f617,plain,
    ( ~ c0_1(a99)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f615,plain,
    ( spl0_77
  <=> c0_1(a99) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f2624,plain,
    ( c0_1(a99)
    | c3_1(a99)
    | ~ spl0_54
    | ~ spl0_79 ),
    inference(resolution,[],[f492,f627]) ).

fof(f627,plain,
    ( c1_1(a99)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f625,plain,
    ( spl0_79
  <=> c1_1(a99) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f492,plain,
    ( ! [X66] :
        ( ~ c1_1(X66)
        | c0_1(X66)
        | c3_1(X66) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f491,plain,
    ( spl0_54
  <=> ! [X66] :
        ( ~ c1_1(X66)
        | c0_1(X66)
        | c3_1(X66) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f2633,plain,
    ( ~ spl0_54
    | spl0_101
    | spl0_102
    | ~ spl0_103 ),
    inference(avatar_contradiction_clause,[],[f2632]) ).

fof(f2632,plain,
    ( $false
    | ~ spl0_54
    | spl0_101
    | spl0_102
    | ~ spl0_103 ),
    inference(subsumption_resolution,[],[f2631,f745]) ).

fof(f745,plain,
    ( ~ c3_1(a31)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f743,plain,
    ( spl0_101
  <=> c3_1(a31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f2631,plain,
    ( c3_1(a31)
    | ~ spl0_54
    | spl0_102
    | ~ spl0_103 ),
    inference(subsumption_resolution,[],[f2621,f750]) ).

fof(f750,plain,
    ( ~ c0_1(a31)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f748,plain,
    ( spl0_102
  <=> c0_1(a31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f2621,plain,
    ( c0_1(a31)
    | c3_1(a31)
    | ~ spl0_54
    | ~ spl0_103 ),
    inference(resolution,[],[f492,f755]) ).

fof(f755,plain,
    ( c1_1(a31)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f753,plain,
    ( spl0_103
  <=> c1_1(a31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f2527,plain,
    ( ~ spl0_36
    | ~ spl0_48
    | ~ spl0_55
    | spl0_110
    | spl0_111 ),
    inference(avatar_contradiction_clause,[],[f2526]) ).

fof(f2526,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_48
    | ~ spl0_55
    | spl0_110
    | spl0_111 ),
    inference(subsumption_resolution,[],[f2523,f798]) ).

fof(f798,plain,
    ( ~ c1_1(a24)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f2523,plain,
    ( c1_1(a24)
    | ~ spl0_36
    | ~ spl0_48
    | ~ spl0_55
    | spl0_110 ),
    inference(resolution,[],[f2518,f793]) ).

fof(f2518,plain,
    ( ! [X49] :
        ( c2_1(X49)
        | c1_1(X49) )
    | ~ spl0_36
    | ~ spl0_48
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f464,f2470]) ).

fof(f2470,plain,
    ( ! [X67] :
        ( ~ c3_1(X67)
        | c2_1(X67) )
    | ~ spl0_36
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f496,f402]) ).

fof(f2460,plain,
    ( ~ spl0_27
    | ~ spl0_37
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f2459]) ).

fof(f2459,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_37
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f2448,f894]) ).

fof(f2448,plain,
    ( ~ c1_1(a16)
    | ~ spl0_27
    | ~ spl0_37
    | ~ spl0_130 ),
    inference(resolution,[],[f2416,f899]) ).

fof(f899,plain,
    ( c0_1(a16)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f897,plain,
    ( spl0_130
  <=> c0_1(a16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f2416,plain,
    ( ! [X7] :
        ( ~ c0_1(X7)
        | ~ c1_1(X7) )
    | ~ spl0_27
    | ~ spl0_37 ),
    inference(subsumption_resolution,[],[f364,f406]) ).

fof(f364,plain,
    ( ! [X7] :
        ( ~ c1_1(X7)
        | ~ c0_1(X7)
        | ~ c2_1(X7) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f363,plain,
    ( spl0_27
  <=> ! [X7] :
        ( ~ c2_1(X7)
        | ~ c0_1(X7)
        | ~ c1_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f2410,plain,
    ( spl0_146
    | spl0_176
    | ~ spl0_47
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2269,f988,f455,f2407,f983]) ).

fof(f2269,plain,
    ( c1_1(a7)
    | c2_1(a7)
    | ~ spl0_47
    | ~ spl0_147 ),
    inference(resolution,[],[f456,f990]) ).

fof(f990,plain,
    ( c3_1(a7)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f988]) ).

fof(f2388,plain,
    ( spl0_159
    | spl0_92
    | ~ spl0_56
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f2347,f700,f503,f695,f1086]) ).

fof(f1086,plain,
    ( spl0_159
  <=> c3_1(a38) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f695,plain,
    ( spl0_92
  <=> c2_1(a38) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f700,plain,
    ( spl0_93
  <=> c1_1(a38) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f2347,plain,
    ( c2_1(a38)
    | c3_1(a38)
    | ~ spl0_56
    | ~ spl0_93 ),
    inference(resolution,[],[f504,f702]) ).

fof(f702,plain,
    ( c1_1(a38)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f2306,plain,
    ( ~ spl0_51
    | spl0_95
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(avatar_contradiction_clause,[],[f2305]) ).

fof(f2305,plain,
    ( $false
    | ~ spl0_51
    | spl0_95
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(subsumption_resolution,[],[f2304,f723]) ).

fof(f2304,plain,
    ( ~ c1_1(a37)
    | ~ spl0_51
    | spl0_95
    | ~ spl0_96 ),
    inference(subsumption_resolution,[],[f2295,f713]) ).

fof(f2295,plain,
    ( c0_1(a37)
    | ~ c1_1(a37)
    | ~ spl0_51
    | ~ spl0_96 ),
    inference(resolution,[],[f477,f718]) ).

fof(f477,plain,
    ( ! [X56] :
        ( ~ c3_1(X56)
        | c0_1(X56)
        | ~ c1_1(X56) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f476,plain,
    ( spl0_51
  <=> ! [X56] :
        ( ~ c3_1(X56)
        | c0_1(X56)
        | ~ c1_1(X56) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f2300,plain,
    ( spl0_168
    | ~ spl0_51
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2299,f1009,f1004,f476,f1558]) ).

fof(f2299,plain,
    ( c0_1(a3)
    | ~ spl0_51
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f2288,f1011]) ).

fof(f2288,plain,
    ( c0_1(a3)
    | ~ c1_1(a3)
    | ~ spl0_51
    | ~ spl0_150 ),
    inference(resolution,[],[f477,f1006]) ).

fof(f2266,plain,
    ( ~ spl0_21
    | ~ spl0_36
    | ~ spl0_74
    | ~ spl0_75
    | ~ spl0_76 ),
    inference(avatar_contradiction_clause,[],[f2265]) ).

fof(f2265,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_36
    | ~ spl0_74
    | ~ spl0_75
    | ~ spl0_76 ),
    inference(subsumption_resolution,[],[f2264,f601]) ).

fof(f601,plain,
    ( c3_1(a12)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f599,plain,
    ( spl0_74
  <=> c3_1(a12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f2264,plain,
    ( ~ c3_1(a12)
    | ~ spl0_21
    | ~ spl0_36
    | ~ spl0_74
    | ~ spl0_75
    | ~ spl0_76 ),
    inference(subsumption_resolution,[],[f2258,f606]) ).

fof(f606,plain,
    ( c1_1(a12)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f604,plain,
    ( spl0_75
  <=> c1_1(a12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f2258,plain,
    ( ~ c1_1(a12)
    | ~ c3_1(a12)
    | ~ spl0_21
    | ~ spl0_36
    | ~ spl0_74
    | ~ spl0_76 ),
    inference(resolution,[],[f336,f1828]) ).

fof(f1828,plain,
    ( c2_1(a12)
    | ~ spl0_36
    | ~ spl0_74
    | ~ spl0_76 ),
    inference(subsumption_resolution,[],[f1826,f601]) ).

fof(f1826,plain,
    ( c2_1(a12)
    | ~ c3_1(a12)
    | ~ spl0_36
    | ~ spl0_76 ),
    inference(resolution,[],[f611,f402]) ).

fof(f611,plain,
    ( c0_1(a12)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f609]) ).

fof(f609,plain,
    ( spl0_76
  <=> c0_1(a12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2224,plain,
    ( spl0_107
    | ~ spl0_57
    | ~ spl0_108
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2223,f1133,f780,f507,f775]) ).

fof(f2223,plain,
    ( c1_1(a27)
    | ~ spl0_57
    | ~ spl0_108
    | ~ spl0_162 ),
    inference(subsumption_resolution,[],[f2165,f1135]) ).

fof(f1135,plain,
    ( c2_1(a27)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1133]) ).

fof(f2165,plain,
    ( c1_1(a27)
    | ~ c2_1(a27)
    | ~ spl0_57
    | ~ spl0_108 ),
    inference(resolution,[],[f508,f782]) ).

fof(f2181,plain,
    ( spl0_98
    | ~ spl0_57
    | ~ spl0_99
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f2180,f737,f732,f507,f727]) ).

fof(f727,plain,
    ( spl0_98
  <=> c1_1(a36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f732,plain,
    ( spl0_99
  <=> c3_1(a36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f737,plain,
    ( spl0_100
  <=> c2_1(a36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f2180,plain,
    ( c1_1(a36)
    | ~ spl0_57
    | ~ spl0_99
    | ~ spl0_100 ),
    inference(subsumption_resolution,[],[f2167,f739]) ).

fof(f739,plain,
    ( c2_1(a36)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f2167,plain,
    ( c1_1(a36)
    | ~ c2_1(a36)
    | ~ spl0_57
    | ~ spl0_99 ),
    inference(resolution,[],[f508,f734]) ).

fof(f734,plain,
    ( c3_1(a36)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f2150,plain,
    ( spl0_107
    | ~ spl0_40
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2149,f785,f780,f422,f775]) ).

fof(f422,plain,
    ( spl0_40
  <=> ! [X28] :
        ( ~ c3_1(X28)
        | c1_1(X28)
        | ~ c0_1(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f2149,plain,
    ( c1_1(a27)
    | ~ spl0_40
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(subsumption_resolution,[],[f2125,f782]) ).

fof(f2125,plain,
    ( c1_1(a27)
    | ~ c3_1(a27)
    | ~ spl0_40
    | ~ spl0_109 ),
    inference(resolution,[],[f423,f787]) ).

fof(f423,plain,
    ( ! [X28] :
        ( ~ c0_1(X28)
        | c1_1(X28)
        | ~ c3_1(X28) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f2148,plain,
    ( ~ spl0_71
    | spl0_166
    | ~ spl0_49
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f2066,f588,f467,f1371,f583]) ).

fof(f588,plain,
    ( spl0_72
  <=> c2_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f2066,plain,
    ( c0_1(a25)
    | ~ c3_1(a25)
    | ~ spl0_49
    | ~ spl0_72 ),
    inference(resolution,[],[f468,f590]) ).

fof(f590,plain,
    ( c2_1(a25)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f2117,plain,
    ( spl0_95
    | ~ spl0_35
    | ~ spl0_49
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f2116,f721,f716,f467,f396,f711]) ).

fof(f396,plain,
    ( spl0_35
  <=> ! [X15] :
        ( ~ c3_1(X15)
        | c2_1(X15)
        | ~ c1_1(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f2116,plain,
    ( c0_1(a37)
    | ~ spl0_35
    | ~ spl0_49
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(subsumption_resolution,[],[f2112,f718]) ).

fof(f2112,plain,
    ( c0_1(a37)
    | ~ c3_1(a37)
    | ~ spl0_35
    | ~ spl0_49
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(resolution,[],[f1989,f468]) ).

fof(f1989,plain,
    ( c2_1(a37)
    | ~ spl0_35
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(subsumption_resolution,[],[f1983,f718]) ).

fof(f1983,plain,
    ( c2_1(a37)
    | ~ c3_1(a37)
    | ~ spl0_35
    | ~ spl0_97 ),
    inference(resolution,[],[f397,f723]) ).

fof(f397,plain,
    ( ! [X15] :
        ( ~ c1_1(X15)
        | c2_1(X15)
        | ~ c3_1(X15) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f1970,plain,
    ( ~ spl0_36
    | ~ spl0_50
    | ~ spl0_74
    | ~ spl0_76 ),
    inference(avatar_contradiction_clause,[],[f1969]) ).

fof(f1969,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_50
    | ~ spl0_74
    | ~ spl0_76 ),
    inference(subsumption_resolution,[],[f1959,f601]) ).

fof(f1959,plain,
    ( ~ c3_1(a12)
    | ~ spl0_36
    | ~ spl0_50
    | ~ spl0_76 ),
    inference(resolution,[],[f1950,f611]) ).

fof(f1950,plain,
    ( ! [X52] :
        ( ~ c0_1(X52)
        | ~ c3_1(X52) )
    | ~ spl0_36
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f472,f402]) ).

fof(f1965,plain,
    ( ~ spl0_36
    | ~ spl0_50
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(avatar_contradiction_clause,[],[f1964]) ).

fof(f1964,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_50
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(subsumption_resolution,[],[f1955,f782]) ).

fof(f1955,plain,
    ( ~ c3_1(a27)
    | ~ spl0_36
    | ~ spl0_50
    | ~ spl0_109 ),
    inference(resolution,[],[f1950,f787]) ).

fof(f1927,plain,
    ( ~ spl0_167
    | ~ spl0_33
    | spl0_155
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1926,f1041,f1031,f387,f1401]) ).

fof(f387,plain,
    ( spl0_33
  <=> ! [X12] :
        ( ~ c1_1(X12)
        | c3_1(X12)
        | ~ c0_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1041,plain,
    ( spl0_157
  <=> c1_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1926,plain,
    ( ~ c0_1(a1)
    | ~ spl0_33
    | spl0_155
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f1909,f1033]) ).

fof(f1909,plain,
    ( c3_1(a1)
    | ~ c0_1(a1)
    | ~ spl0_33
    | ~ spl0_157 ),
    inference(resolution,[],[f388,f1043]) ).

fof(f1043,plain,
    ( c1_1(a1)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1041]) ).

fof(f388,plain,
    ( ! [X12] :
        ( ~ c1_1(X12)
        | c3_1(X12)
        | ~ c0_1(X12) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f1925,plain,
    ( spl0_128
    | ~ spl0_33
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1924,f897,f892,f387,f887]) ).

fof(f1924,plain,
    ( c3_1(a16)
    | ~ spl0_33
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1912,f899]) ).

fof(f1912,plain,
    ( c3_1(a16)
    | ~ c0_1(a16)
    | ~ spl0_33
    | ~ spl0_129 ),
    inference(resolution,[],[f388,f894]) ).

fof(f1908,plain,
    ( ~ spl0_158
    | ~ spl0_69
    | ~ spl0_21
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1891,f567,f335,f572,f1060]) ).

fof(f567,plain,
    ( spl0_68
  <=> c2_1(a35) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1891,plain,
    ( ~ c1_1(a35)
    | ~ c3_1(a35)
    | ~ spl0_21
    | ~ spl0_68 ),
    inference(resolution,[],[f336,f569]) ).

fof(f569,plain,
    ( c2_1(a35)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f1905,plain,
    ( ~ spl0_165
    | ~ spl0_79
    | ~ spl0_21
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1889,f620,f335,f625,f1335]) ).

fof(f620,plain,
    ( spl0_78
  <=> c2_1(a99) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1889,plain,
    ( ~ c1_1(a99)
    | ~ c3_1(a99)
    | ~ spl0_21
    | ~ spl0_78 ),
    inference(resolution,[],[f336,f622]) ).

fof(f622,plain,
    ( c2_1(a99)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f1904,plain,
    ( spl0_158
    | ~ spl0_30
    | ~ spl0_68
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1903,f577,f567,f376,f1060]) ).

fof(f376,plain,
    ( spl0_30
  <=> ! [X11] :
        ( ~ c2_1(X11)
        | c3_1(X11)
        | ~ c0_1(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1903,plain,
    ( c3_1(a35)
    | ~ spl0_30
    | ~ spl0_68
    | ~ spl0_70 ),
    inference(subsumption_resolution,[],[f1825,f569]) ).

fof(f1825,plain,
    ( c3_1(a35)
    | ~ c2_1(a35)
    | ~ spl0_30
    | ~ spl0_70 ),
    inference(resolution,[],[f579,f377]) ).

fof(f377,plain,
    ( ! [X11] :
        ( ~ c0_1(X11)
        | c3_1(X11)
        | ~ c2_1(X11) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f579,plain,
    ( c0_1(a35)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f1876,plain,
    ( ~ spl0_164
    | spl0_128
    | ~ spl0_30
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1425,f897,f376,f887,f1279]) ).

fof(f1425,plain,
    ( c3_1(a16)
    | ~ c2_1(a16)
    | ~ spl0_30
    | ~ spl0_130 ),
    inference(resolution,[],[f899,f377]) ).

fof(f1872,plain,
    ( ~ spl0_36
    | ~ spl0_55
    | spl0_149
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f1871]) ).

fof(f1871,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_55
    | spl0_149
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f1854,f1001]) ).

fof(f1854,plain,
    ( c2_1(a3)
    | ~ spl0_36
    | ~ spl0_55
    | ~ spl0_150 ),
    inference(resolution,[],[f1821,f1006]) ).

fof(f1821,plain,
    ( ! [X67] :
        ( ~ c3_1(X67)
        | c2_1(X67) )
    | ~ spl0_36
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f496,f402]) ).

fof(f1850,plain,
    ( ~ spl0_36
    | spl0_146
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f1849]) ).

fof(f1849,plain,
    ( $false
    | ~ spl0_36
    | spl0_146
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f1848,f990]) ).

fof(f1848,plain,
    ( ~ c3_1(a7)
    | ~ spl0_36
    | spl0_146
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f1846,f985]) ).

fof(f1846,plain,
    ( c2_1(a7)
    | ~ c3_1(a7)
    | ~ spl0_36
    | ~ spl0_148 ),
    inference(resolution,[],[f995,f402]) ).

fof(f1820,plain,
    ( ~ spl0_159
    | spl0_92
    | ~ spl0_36
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1618,f705,f401,f695,f1086]) ).

fof(f705,plain,
    ( spl0_94
  <=> c0_1(a38) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1618,plain,
    ( c2_1(a38)
    | ~ c3_1(a38)
    | ~ spl0_36
    | ~ spl0_94 ),
    inference(resolution,[],[f402,f707]) ).

fof(f707,plain,
    ( c0_1(a38)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f1814,plain,
    ( ~ spl0_30
    | ~ spl0_38
    | spl0_128
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f1813]) ).

fof(f1813,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_38
    | spl0_128
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1806,f889]) ).

fof(f1806,plain,
    ( c3_1(a16)
    | ~ spl0_30
    | ~ spl0_38
    | ~ spl0_130 ),
    inference(resolution,[],[f1764,f899]) ).

fof(f1764,plain,
    ( ! [X26] :
        ( ~ c0_1(X26)
        | c3_1(X26) )
    | ~ spl0_30
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f414,f377]) ).

fof(f1741,plain,
    ( spl0_155
    | ~ spl0_30
    | ~ spl0_53
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1737,f1036,f484,f376,f1031]) ).

fof(f1737,plain,
    ( c3_1(a1)
    | ~ spl0_30
    | ~ spl0_53
    | ~ spl0_156 ),
    inference(resolution,[],[f1038,f1624]) ).

fof(f1624,plain,
    ( ! [X59] :
        ( ~ c2_1(X59)
        | c3_1(X59) )
    | ~ spl0_30
    | ~ spl0_53 ),
    inference(subsumption_resolution,[],[f485,f377]) ).

fof(f1623,plain,
    ( ~ spl0_36
    | ~ spl0_46
    | spl0_140
    | spl0_141
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f1622]) ).

fof(f1622,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_46
    | spl0_140
    | spl0_141
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1621,f1435]) ).

fof(f1435,plain,
    ( c3_1(a11)
    | ~ spl0_46
    | spl0_141
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1431,f958]) ).

fof(f1431,plain,
    ( c1_1(a11)
    | c3_1(a11)
    | ~ spl0_46
    | ~ spl0_142 ),
    inference(resolution,[],[f452,f963]) ).

fof(f1621,plain,
    ( ~ c3_1(a11)
    | ~ spl0_36
    | spl0_140
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1616,f953]) ).

fof(f1616,plain,
    ( c2_1(a11)
    | ~ c3_1(a11)
    | ~ spl0_36
    | ~ spl0_142 ),
    inference(resolution,[],[f402,f963]) ).

fof(f1597,plain,
    ( ~ spl0_21
    | ~ spl0_35
    | ~ spl0_47
    | spl0_104
    | ~ spl0_106 ),
    inference(avatar_contradiction_clause,[],[f1596]) ).

fof(f1596,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_35
    | ~ spl0_47
    | spl0_104
    | ~ spl0_106 ),
    inference(subsumption_resolution,[],[f1588,f761]) ).

fof(f1588,plain,
    ( c2_1(a28)
    | ~ spl0_21
    | ~ spl0_35
    | ~ spl0_47
    | ~ spl0_106 ),
    inference(resolution,[],[f1583,f771]) ).

fof(f1583,plain,
    ( ! [X40] :
        ( ~ c3_1(X40)
        | c2_1(X40) )
    | ~ spl0_21
    | ~ spl0_35
    | ~ spl0_47 ),
    inference(subsumption_resolution,[],[f456,f1562]) ).

fof(f1562,plain,
    ( ! [X15] :
        ( ~ c1_1(X15)
        | ~ c3_1(X15) )
    | ~ spl0_21
    | ~ spl0_35 ),
    inference(subsumption_resolution,[],[f397,f336]) ).

fof(f1581,plain,
    ( ~ spl0_96
    | ~ spl0_21
    | ~ spl0_35
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1569,f721,f396,f335,f716]) ).

fof(f1569,plain,
    ( ~ c3_1(a37)
    | ~ spl0_21
    | ~ spl0_35
    | ~ spl0_97 ),
    inference(resolution,[],[f1562,f723]) ).

fof(f1500,plain,
    ( spl0_80
    | spl0_81
    | ~ spl0_46
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1434,f641,f451,f636,f631]) ).

fof(f631,plain,
    ( spl0_80
  <=> c3_1(a70) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f636,plain,
    ( spl0_81
  <=> c1_1(a70) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f641,plain,
    ( spl0_82
  <=> c0_1(a70) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1434,plain,
    ( c1_1(a70)
    | c3_1(a70)
    | ~ spl0_46
    | ~ spl0_82 ),
    inference(resolution,[],[f452,f643]) ).

fof(f643,plain,
    ( c0_1(a70)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f1471,plain,
    ( ~ spl0_49
    | spl0_77
    | ~ spl0_78
    | ~ spl0_165 ),
    inference(avatar_contradiction_clause,[],[f1470]) ).

fof(f1470,plain,
    ( $false
    | ~ spl0_49
    | spl0_77
    | ~ spl0_78
    | ~ spl0_165 ),
    inference(subsumption_resolution,[],[f1469,f1337]) ).

fof(f1337,plain,
    ( c3_1(a99)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1335]) ).

fof(f1469,plain,
    ( ~ c3_1(a99)
    | ~ spl0_49
    | spl0_77
    | ~ spl0_78 ),
    inference(subsumption_resolution,[],[f1461,f617]) ).

fof(f1461,plain,
    ( c0_1(a99)
    | ~ c3_1(a99)
    | ~ spl0_49
    | ~ spl0_78 ),
    inference(resolution,[],[f468,f622]) ).

fof(f1466,plain,
    ( ~ spl0_49
    | spl0_113
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(avatar_contradiction_clause,[],[f1465]) ).

fof(f1465,plain,
    ( $false
    | ~ spl0_49
    | spl0_113
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(subsumption_resolution,[],[f1464,f814]) ).

fof(f1464,plain,
    ( ~ c3_1(a22)
    | ~ spl0_49
    | spl0_113
    | ~ spl0_115 ),
    inference(subsumption_resolution,[],[f1457,f809]) ).

fof(f1457,plain,
    ( c0_1(a22)
    | ~ c3_1(a22)
    | ~ spl0_49
    | ~ spl0_115 ),
    inference(resolution,[],[f468,f819]) ).

fof(f1454,plain,
    ( ~ spl0_21
    | ~ spl0_71
    | ~ spl0_72
    | ~ spl0_73 ),
    inference(avatar_contradiction_clause,[],[f1453]) ).

fof(f1453,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_71
    | ~ spl0_72
    | ~ spl0_73 ),
    inference(subsumption_resolution,[],[f1452,f585]) ).

fof(f1452,plain,
    ( ~ c3_1(a25)
    | ~ spl0_21
    | ~ spl0_72
    | ~ spl0_73 ),
    inference(subsumption_resolution,[],[f1449,f595]) ).

fof(f1449,plain,
    ( ~ c1_1(a25)
    | ~ c3_1(a25)
    | ~ spl0_21
    | ~ spl0_72 ),
    inference(resolution,[],[f336,f590]) ).

fof(f1406,plain,
    ( ~ spl0_157
    | ~ spl0_31
    | spl0_155
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1405,f1036,f1031,f379,f1041]) ).

fof(f1405,plain,
    ( ~ c1_1(a1)
    | ~ spl0_31
    | spl0_155
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f1399,f1033]) ).

fof(f1399,plain,
    ( c3_1(a1)
    | ~ c1_1(a1)
    | ~ spl0_31
    | ~ spl0_156 ),
    inference(resolution,[],[f1038,f380]) ).

fof(f1404,plain,
    ( ~ spl0_157
    | spl0_167
    | ~ spl0_52
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1398,f1036,f480,f1401,f1041]) ).

fof(f480,plain,
    ( spl0_52
  <=> ! [X58] :
        ( ~ c2_1(X58)
        | c0_1(X58)
        | ~ c1_1(X58) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1398,plain,
    ( c0_1(a1)
    | ~ c1_1(a1)
    | ~ spl0_52
    | ~ spl0_156 ),
    inference(resolution,[],[f1038,f481]) ).

fof(f481,plain,
    ( ! [X58] :
        ( ~ c2_1(X58)
        | c0_1(X58)
        | ~ c1_1(X58) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f1338,plain,
    ( ~ spl0_79
    | spl0_165
    | ~ spl0_31
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1169,f620,f379,f1335,f625]) ).

fof(f1169,plain,
    ( c3_1(a99)
    | ~ c1_1(a99)
    | ~ spl0_31
    | ~ spl0_78 ),
    inference(resolution,[],[f380,f622]) ).

fof(f1333,plain,
    ( ~ spl0_79
    | ~ spl0_52
    | spl0_77
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1325,f620,f615,f480,f625]) ).

fof(f1325,plain,
    ( ~ c1_1(a99)
    | ~ spl0_52
    | spl0_77
    | ~ spl0_78 ),
    inference(subsumption_resolution,[],[f1319,f617]) ).

fof(f1319,plain,
    ( c0_1(a99)
    | ~ c1_1(a99)
    | ~ spl0_52
    | ~ spl0_78 ),
    inference(resolution,[],[f481,f622]) ).

fof(f1282,plain,
    ( ~ spl0_130
    | spl0_164
    | ~ spl0_37
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1248,f892,f405,f1279,f897]) ).

fof(f1248,plain,
    ( c2_1(a16)
    | ~ c0_1(a16)
    | ~ spl0_37
    | ~ spl0_129 ),
    inference(resolution,[],[f406,f894]) ).

fof(f1239,plain,
    ( ~ spl0_117
    | spl0_116
    | ~ spl0_30
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1227,f833,f376,f823,f828]) ).

fof(f828,plain,
    ( spl0_117
  <=> c2_1(a21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f823,plain,
    ( spl0_116
  <=> c3_1(a21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f833,plain,
    ( spl0_118
  <=> c0_1(a21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1227,plain,
    ( c3_1(a21)
    | ~ c2_1(a21)
    | ~ spl0_30
    | ~ spl0_118 ),
    inference(resolution,[],[f835,f377]) ).

fof(f835,plain,
    ( c0_1(a21)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f1207,plain,
    ( ~ spl0_47
    | ~ spl0_48
    | spl0_132
    | spl0_133 ),
    inference(avatar_contradiction_clause,[],[f1206]) ).

fof(f1206,plain,
    ( $false
    | ~ spl0_47
    | ~ spl0_48
    | spl0_132
    | spl0_133 ),
    inference(subsumption_resolution,[],[f1201,f915]) ).

fof(f915,plain,
    ( ~ c1_1(a15)
    | spl0_133 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f913,plain,
    ( spl0_133
  <=> c1_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1201,plain,
    ( c1_1(a15)
    | ~ spl0_47
    | ~ spl0_48
    | spl0_132 ),
    inference(resolution,[],[f1193,f910]) ).

fof(f910,plain,
    ( ~ c2_1(a15)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f908,plain,
    ( spl0_132
  <=> c2_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1193,plain,
    ( ! [X49] :
        ( c2_1(X49)
        | c1_1(X49) )
    | ~ spl0_47
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f464,f456]) ).

fof(f1163,plain,
    ( spl0_158
    | ~ spl0_31
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1162,f572,f567,f379,f1060]) ).

fof(f1162,plain,
    ( c3_1(a35)
    | ~ spl0_31
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(subsumption_resolution,[],[f1160,f574]) ).

fof(f1160,plain,
    ( c3_1(a35)
    | ~ c1_1(a35)
    | ~ spl0_31
    | ~ spl0_68 ),
    inference(resolution,[],[f380,f569]) ).

fof(f1155,plain,
    ( ~ spl0_35
    | spl0_149
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f1154]) ).

fof(f1154,plain,
    ( $false
    | ~ spl0_35
    | spl0_149
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f1153,f1006]) ).

fof(f1153,plain,
    ( ~ c3_1(a3)
    | ~ spl0_35
    | spl0_149
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f1151,f1001]) ).

fof(f1151,plain,
    ( c2_1(a3)
    | ~ c3_1(a3)
    | ~ spl0_35
    | ~ spl0_151 ),
    inference(resolution,[],[f1011,f397]) ).

fof(f1107,plain,
    ( ~ spl0_76
    | ~ spl0_23
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1106,f604,f599,f343,f609]) ).

fof(f1106,plain,
    ( ~ c0_1(a12)
    | ~ spl0_23
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(subsumption_resolution,[],[f1104,f601]) ).

fof(f1104,plain,
    ( ~ c0_1(a12)
    | ~ c3_1(a12)
    | ~ spl0_23
    | ~ spl0_75 ),
    inference(resolution,[],[f606,f344]) ).

fof(f1102,plain,
    ( ~ spl0_37
    | spl0_92
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(avatar_contradiction_clause,[],[f1101]) ).

fof(f1101,plain,
    ( $false
    | ~ spl0_37
    | spl0_92
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(subsumption_resolution,[],[f1100,f707]) ).

fof(f1100,plain,
    ( ~ c0_1(a38)
    | ~ spl0_37
    | spl0_92
    | ~ spl0_93 ),
    inference(subsumption_resolution,[],[f1099,f697]) ).

fof(f697,plain,
    ( ~ c2_1(a38)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f1099,plain,
    ( c2_1(a38)
    | ~ c0_1(a38)
    | ~ spl0_37
    | ~ spl0_93 ),
    inference(resolution,[],[f406,f702]) ).

fof(f1057,plain,
    ( ~ spl0_23
    | ~ spl0_30
    | ~ spl0_68
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(avatar_contradiction_clause,[],[f1056]) ).

fof(f1056,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_30
    | ~ spl0_68
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(subsumption_resolution,[],[f1055,f569]) ).

fof(f1055,plain,
    ( ~ c2_1(a35)
    | ~ spl0_23
    | ~ spl0_30
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(subsumption_resolution,[],[f1052,f1047]) ).

fof(f1047,plain,
    ( ~ c3_1(a35)
    | ~ spl0_23
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(subsumption_resolution,[],[f1046,f579]) ).

fof(f1046,plain,
    ( ~ c0_1(a35)
    | ~ c3_1(a35)
    | ~ spl0_23
    | ~ spl0_69 ),
    inference(resolution,[],[f344,f574]) ).

fof(f1052,plain,
    ( c3_1(a35)
    | ~ c2_1(a35)
    | ~ spl0_30
    | ~ spl0_70 ),
    inference(resolution,[],[f377,f579]) ).

fof(f1051,plain,
    ( ~ spl0_27
    | ~ spl0_68
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(avatar_contradiction_clause,[],[f1050]) ).

fof(f1050,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_68
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(subsumption_resolution,[],[f1049,f569]) ).

fof(f1049,plain,
    ( ~ c2_1(a35)
    | ~ spl0_27
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(subsumption_resolution,[],[f1048,f579]) ).

fof(f1048,plain,
    ( ~ c0_1(a35)
    | ~ c2_1(a35)
    | ~ spl0_27
    | ~ spl0_69 ),
    inference(resolution,[],[f364,f574]) ).

fof(f1044,plain,
    ( ~ spl0_25
    | spl0_157 ),
    inference(avatar_split_clause,[],[f8,f1041,f351]) ).

fof(f351,plain,
    ( spl0_25
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f8,plain,
    ( c1_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp1
      | hskp20
      | hskp28 )
    & ( hskp19
      | hskp28
      | hskp4 )
    & ( hskp28
      | hskp25
      | hskp5 )
    & ( hskp2
      | hskp4
      | hskp16 )
    & ( hskp17
      | hskp2
      | hskp9 )
    & ( hskp24
      | hskp13
      | hskp21 )
    & ( hskp8
      | hskp13
      | hskp27 )
    & ( hskp14
      | hskp26
      | hskp29 )
    & ( hskp24
      | hskp3
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp5
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp22
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp30
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp27
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c2_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp19
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c2_1(X11)
          | ~ c0_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp21
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c1_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c1_1(X14)
          | ~ c0_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp28
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c1_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X16] :
          ( ~ c2_1(X16)
          | ~ c1_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c1_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp29
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp24
      | ! [X19] :
          ( ~ c1_1(X19)
          | ~ c0_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp14
      | ! [X20] :
          ( ~ c1_1(X20)
          | ~ c0_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp5
      | ! [X21] :
          ( ~ c1_1(X21)
          | ~ c0_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp16
      | ! [X22] :
          ( ~ c1_1(X22)
          | ~ c0_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( ~ c1_1(X23)
          | ~ c0_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c1_1(X25)
          | ~ c0_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp22
      | ! [X26] :
          ( ~ c0_1(X26)
          | c3_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp21
      | ! [X27] :
          ( ~ c0_1(X27)
          | c3_1(X27)
          | c2_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp18
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp4
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp13
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c0_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp30
      | ! [X33] :
          ( ~ c2_1(X33)
          | ~ c0_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp9
      | ! [X34] :
          ( ~ c2_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c1_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp10
      | ! [X37] :
          ( ~ c2_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X38] :
          ( ~ c2_1(X38)
          | ~ c0_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c0_1(X39)
          | c3_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp13
      | ! [X40] :
          ( ~ c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp22
      | ! [X41] :
          ( ~ c3_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp22
      | ! [X42] :
          ( ~ c3_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( ! [X43] :
          ( ~ c3_1(X43)
          | ~ c1_1(X43)
          | ~ c0_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c1_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( ~ c2_1(X46)
          | ~ c1_1(X46)
          | c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c0_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp21
      | ! [X49] :
          ( c3_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp21
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c2_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c2_1(X52)
          | ~ c0_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X54] :
          ( ~ c2_1(X54)
          | ~ c1_1(X54)
          | c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp29
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X57] :
          ( c3_1(X57)
          | c2_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp11
      | ! [X59] :
          ( ~ c2_1(X59)
          | c3_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp3
      | ! [X60] :
          ( ~ c2_1(X60)
          | c3_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X61] :
          ( ~ c2_1(X61)
          | ~ c1_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c2_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( ! [X63] :
          ( ~ c0_1(X63)
          | c3_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c3_1(X64)
          | c2_1(X64)
          | c1_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c2_1(X65)
          | c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp16
      | ! [X66] :
          ( ~ c1_1(X66)
          | c3_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp28
      | ! [X67] :
          ( ~ c3_1(X67)
          | c2_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp5
      | ! [X68] :
          ( ~ c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp13
      | ! [X69] :
          ( ~ c3_1(X69)
          | c2_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X70] :
          ( ~ c1_1(X70)
          | ~ c0_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X72] :
          ( ~ c3_1(X72)
          | ~ c0_1(X72)
          | c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( ~ c2_1(X74)
          | ~ c1_1(X74)
          | c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | c3_1(X75)
          | c2_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X77] :
          ( ~ c3_1(X77)
          | ~ c2_1(X77)
          | c1_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X79] :
          ( ~ c2_1(X79)
          | ~ c1_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c1_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X81] :
          ( ~ c2_1(X81)
          | ~ c1_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c1_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( ! [X83] :
          ( ~ c0_1(X83)
          | c3_1(X83)
          | c2_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c3_1(X84)
          | ~ c2_1(X84)
          | c1_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c1_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp7
      | ! [X86] :
          ( c3_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c1_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c3_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X89] :
          ( ~ c1_1(X89)
          | ~ c0_1(X89)
          | c2_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c3_1(X90)
          | c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( ~ c2_1(X91)
          | ~ c1_1(X91)
          | c3_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c2_1(X92)
          | ~ c0_1(X92)
          | c1_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X94] :
          ( ~ c2_1(X94)
          | c3_1(X94)
          | c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | c2_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( ! [X96] :
          ( ~ c3_1(X96)
          | ~ c2_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c3_1(X97)
          | c2_1(X97)
          | c1_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c3_1(X98)
          | c2_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X99] :
          ( ~ c3_1(X99)
          | ~ c2_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c3_1(X100)
          | c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X101] :
          ( ~ c3_1(X101)
          | ~ c1_1(X101)
          | ~ c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c3_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( ! [X103] :
          ( ~ c0_1(X103)
          | c2_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c3_1(X104)
          | c2_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c3_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp3
      | ! [X106] :
          ( ~ c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X107] :
          ( ~ c3_1(X107)
          | ~ c1_1(X107)
          | c2_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c2_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X109] :
          ( ~ c3_1(X109)
          | c2_1(X109)
          | c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c2_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp2
      | ! [X111] :
          ( c3_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp0
      | ! [X112] :
          ( c3_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( ! [X113] :
          ( ~ c3_1(X113)
          | ~ c1_1(X113)
          | c2_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( ~ c1_1(X114)
          | ~ c0_1(X114)
          | c2_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c3_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( ! [X116] :
          ( ~ c1_1(X116)
          | c3_1(X116)
          | c2_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( ~ c2_1(X117)
          | c3_1(X117)
          | c1_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( c2_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a54)
        & c2_1(a54)
        & c0_1(a54)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a35)
        & c1_1(a35)
        & c0_1(a35)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a25)
        & c2_1(a25)
        & c1_1(a25)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a12)
        & c1_1(a12)
        & c0_1(a12)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c0_1(a99)
        & c2_1(a99)
        & c1_1(a99)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a70)
        & ~ c1_1(a70)
        & c0_1(a70)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a58)
        & ~ c0_1(a58)
        & c2_1(a58)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a45)
        & ~ c1_1(a45)
        & c3_1(a45)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a42)
        & c2_1(a42)
        & c0_1(a42)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a38)
        & c1_1(a38)
        & c0_1(a38)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c0_1(a37)
        & c3_1(a37)
        & c1_1(a37)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a36)
        & c3_1(a36)
        & c2_1(a36)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a31)
        & ~ c0_1(a31)
        & c1_1(a31)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a28)
        & ~ c0_1(a28)
        & c3_1(a28)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a27)
        & c3_1(a27)
        & c0_1(a27)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a24)
        & ~ c1_1(a24)
        & ~ c0_1(a24)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a22)
        & c3_1(a22)
        & c2_1(a22)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a21)
        & c2_1(a21)
        & c0_1(a21)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a20)
        & ~ c1_1(a20)
        & c2_1(a20)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a19)
        & ~ c0_1(a19)
        & c2_1(a19)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a18)
        & ~ c0_1(a18)
        & c3_1(a18)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a16)
        & c1_1(a16)
        & c0_1(a16)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a15)
        & ~ c2_1(a15)
        & ~ c1_1(a15)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a14)
        & ~ c0_1(a14)
        & c1_1(a14)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a13)
        & ~ c1_1(a13)
        & ~ c0_1(a13)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a11)
        & ~ c1_1(a11)
        & c0_1(a11)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a9)
        & ~ c2_1(a9)
        & c0_1(a9)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a7)
        & c3_1(a7)
        & c0_1(a7)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a3)
        & c3_1(a3)
        & c1_1(a3)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2)
        & ~ c2_1(a2)
        & ~ c0_1(a2)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a1)
        & c2_1(a1)
        & c1_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp1
      | hskp20
      | hskp28 )
    & ( hskp19
      | hskp28
      | hskp4 )
    & ( hskp28
      | hskp25
      | hskp5 )
    & ( hskp2
      | hskp4
      | hskp16 )
    & ( hskp17
      | hskp2
      | hskp9 )
    & ( hskp24
      | hskp13
      | hskp21 )
    & ( hskp8
      | hskp13
      | hskp27 )
    & ( hskp14
      | hskp26
      | hskp29 )
    & ( hskp24
      | hskp3
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp5
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp22
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp30
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp27
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c2_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp19
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c2_1(X11)
          | ~ c0_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp21
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c1_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c1_1(X14)
          | ~ c0_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp28
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c1_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X16] :
          ( ~ c2_1(X16)
          | ~ c1_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c1_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp29
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp24
      | ! [X19] :
          ( ~ c1_1(X19)
          | ~ c0_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp14
      | ! [X20] :
          ( ~ c1_1(X20)
          | ~ c0_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp5
      | ! [X21] :
          ( ~ c1_1(X21)
          | ~ c0_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp16
      | ! [X22] :
          ( ~ c1_1(X22)
          | ~ c0_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( ~ c1_1(X23)
          | ~ c0_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c1_1(X25)
          | ~ c0_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp22
      | ! [X26] :
          ( ~ c0_1(X26)
          | c3_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp21
      | ! [X27] :
          ( ~ c0_1(X27)
          | c3_1(X27)
          | c2_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp18
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp4
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp13
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c0_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp30
      | ! [X33] :
          ( ~ c2_1(X33)
          | ~ c0_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp9
      | ! [X34] :
          ( ~ c2_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c1_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp10
      | ! [X37] :
          ( ~ c2_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X38] :
          ( ~ c2_1(X38)
          | ~ c0_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c0_1(X39)
          | c3_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp13
      | ! [X40] :
          ( ~ c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp22
      | ! [X41] :
          ( ~ c3_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp22
      | ! [X42] :
          ( ~ c3_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( ! [X43] :
          ( ~ c3_1(X43)
          | ~ c1_1(X43)
          | ~ c0_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c1_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( ~ c2_1(X46)
          | ~ c1_1(X46)
          | c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c0_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp21
      | ! [X49] :
          ( c3_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp21
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c2_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c2_1(X52)
          | ~ c0_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X54] :
          ( ~ c2_1(X54)
          | ~ c1_1(X54)
          | c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp29
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X57] :
          ( c3_1(X57)
          | c2_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp11
      | ! [X59] :
          ( ~ c2_1(X59)
          | c3_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp3
      | ! [X60] :
          ( ~ c2_1(X60)
          | c3_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X61] :
          ( ~ c2_1(X61)
          | ~ c1_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c2_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( ! [X63] :
          ( ~ c0_1(X63)
          | c3_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c3_1(X64)
          | c2_1(X64)
          | c1_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c2_1(X65)
          | c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp16
      | ! [X66] :
          ( ~ c1_1(X66)
          | c3_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp28
      | ! [X67] :
          ( ~ c3_1(X67)
          | c2_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp5
      | ! [X68] :
          ( ~ c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp13
      | ! [X69] :
          ( ~ c3_1(X69)
          | c2_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X70] :
          ( ~ c1_1(X70)
          | ~ c0_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X72] :
          ( ~ c3_1(X72)
          | ~ c0_1(X72)
          | c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( ~ c2_1(X74)
          | ~ c1_1(X74)
          | c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | c3_1(X75)
          | c2_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X77] :
          ( ~ c3_1(X77)
          | ~ c2_1(X77)
          | c1_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X79] :
          ( ~ c2_1(X79)
          | ~ c1_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c1_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X81] :
          ( ~ c2_1(X81)
          | ~ c1_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c1_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( ! [X83] :
          ( ~ c0_1(X83)
          | c3_1(X83)
          | c2_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c3_1(X84)
          | ~ c2_1(X84)
          | c1_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c1_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp7
      | ! [X86] :
          ( c3_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c1_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c3_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X89] :
          ( ~ c1_1(X89)
          | ~ c0_1(X89)
          | c2_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c3_1(X90)
          | c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( ~ c2_1(X91)
          | ~ c1_1(X91)
          | c3_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c2_1(X92)
          | ~ c0_1(X92)
          | c1_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X94] :
          ( ~ c2_1(X94)
          | c3_1(X94)
          | c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | c2_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( ! [X96] :
          ( ~ c3_1(X96)
          | ~ c2_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c3_1(X97)
          | c2_1(X97)
          | c1_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c3_1(X98)
          | c2_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X99] :
          ( ~ c3_1(X99)
          | ~ c2_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c3_1(X100)
          | c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X101] :
          ( ~ c3_1(X101)
          | ~ c1_1(X101)
          | ~ c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c3_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( ! [X103] :
          ( ~ c0_1(X103)
          | c2_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c3_1(X104)
          | c2_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c3_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp3
      | ! [X106] :
          ( ~ c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X107] :
          ( ~ c3_1(X107)
          | ~ c1_1(X107)
          | c2_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c2_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X109] :
          ( ~ c3_1(X109)
          | c2_1(X109)
          | c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c2_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp2
      | ! [X111] :
          ( c3_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp0
      | ! [X112] :
          ( c3_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( ! [X113] :
          ( ~ c3_1(X113)
          | ~ c1_1(X113)
          | c2_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( ~ c1_1(X114)
          | ~ c0_1(X114)
          | c2_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c3_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( ! [X116] :
          ( ~ c1_1(X116)
          | c3_1(X116)
          | c2_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( ~ c2_1(X117)
          | c3_1(X117)
          | c1_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( c2_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a54)
        & c2_1(a54)
        & c0_1(a54)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a35)
        & c1_1(a35)
        & c0_1(a35)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a25)
        & c2_1(a25)
        & c1_1(a25)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a12)
        & c1_1(a12)
        & c0_1(a12)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c0_1(a99)
        & c2_1(a99)
        & c1_1(a99)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a70)
        & ~ c1_1(a70)
        & c0_1(a70)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a58)
        & ~ c0_1(a58)
        & c2_1(a58)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a45)
        & ~ c1_1(a45)
        & c3_1(a45)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a42)
        & c2_1(a42)
        & c0_1(a42)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a38)
        & c1_1(a38)
        & c0_1(a38)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c0_1(a37)
        & c3_1(a37)
        & c1_1(a37)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a36)
        & c3_1(a36)
        & c2_1(a36)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a31)
        & ~ c0_1(a31)
        & c1_1(a31)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a28)
        & ~ c0_1(a28)
        & c3_1(a28)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a27)
        & c3_1(a27)
        & c0_1(a27)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a24)
        & ~ c1_1(a24)
        & ~ c0_1(a24)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a22)
        & c3_1(a22)
        & c2_1(a22)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a21)
        & c2_1(a21)
        & c0_1(a21)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a20)
        & ~ c1_1(a20)
        & c2_1(a20)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a19)
        & ~ c0_1(a19)
        & c2_1(a19)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a18)
        & ~ c0_1(a18)
        & c3_1(a18)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a16)
        & c1_1(a16)
        & c0_1(a16)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a15)
        & ~ c2_1(a15)
        & ~ c1_1(a15)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a14)
        & ~ c0_1(a14)
        & c1_1(a14)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a13)
        & ~ c1_1(a13)
        & ~ c0_1(a13)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a11)
        & ~ c1_1(a11)
        & c0_1(a11)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a9)
        & ~ c2_1(a9)
        & c0_1(a9)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a7)
        & c3_1(a7)
        & c0_1(a7)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a3)
        & c3_1(a3)
        & c1_1(a3)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2)
        & ~ c2_1(a2)
        & ~ c0_1(a2)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a1)
        & c2_1(a1)
        & c1_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp1
      | hskp20
      | hskp28 )
    & ( hskp19
      | hskp28
      | hskp4 )
    & ( hskp28
      | hskp25
      | hskp5 )
    & ( hskp2
      | hskp4
      | hskp16 )
    & ( hskp17
      | hskp2
      | hskp9 )
    & ( hskp24
      | hskp13
      | hskp21 )
    & ( hskp8
      | hskp13
      | hskp27 )
    & ( hskp14
      | hskp26
      | hskp29 )
    & ( hskp24
      | hskp3
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp25
      | hskp5
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c1_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp0
      | hskp22
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c1_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp3
      | hskp30
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp16
      | hskp27
      | ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | ~ c1_1(X4)
            | ~ c0_1(X4) ) ) )
    & ( hskp25
      | ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | ~ c2_1(X5)
            | ~ c1_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( ~ c3_1(X6)
            | ~ c1_1(X6)
            | ~ c0_1(X6) ) ) )
    & ( hskp11
      | hskp19
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c1_1(X7)
            | ~ c0_1(X7) ) ) )
    & ( hskp7
      | ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c1_1(X8)
            | ~ c0_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | ~ c1_1(X9)
            | ~ c0_1(X9) ) ) )
    & ( hskp6
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c1_1(X10)
            | c3_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c2_1(X11)
            | ~ c0_1(X11)
            | c3_1(X11) ) ) )
    & ( hskp10
      | hskp21
      | ! [X12] :
          ( ndr1_0
         => ( ~ c1_1(X12)
            | ~ c0_1(X12)
            | c3_1(X12) ) ) )
    & ( hskp8
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | ~ c1_1(X13)
            | ~ c0_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c1_1(X14)
            | ~ c0_1(X14)
            | c3_1(X14) ) ) )
    & ( hskp0
      | hskp28
      | ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | ~ c1_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp9
      | ! [X16] :
          ( ndr1_0
         => ( ~ c2_1(X16)
            | ~ c1_1(X16)
            | c3_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c1_1(X17)
            | c2_1(X17) ) ) )
    & ( hskp9
      | hskp29
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c0_1(X18)
            | c2_1(X18) ) ) )
    & ( hskp6
      | hskp24
      | ! [X19] :
          ( ndr1_0
         => ( ~ c1_1(X19)
            | ~ c0_1(X19)
            | c2_1(X19) ) ) )
    & ( hskp17
      | hskp14
      | ! [X20] :
          ( ndr1_0
         => ( ~ c1_1(X20)
            | ~ c0_1(X20)
            | c2_1(X20) ) ) )
    & ( hskp25
      | hskp5
      | ! [X21] :
          ( ndr1_0
         => ( ~ c1_1(X21)
            | ~ c0_1(X21)
            | c2_1(X21) ) ) )
    & ( hskp14
      | hskp16
      | ! [X22] :
          ( ndr1_0
         => ( ~ c1_1(X22)
            | ~ c0_1(X22)
            | c2_1(X22) ) ) )
    & ( ! [X23] :
          ( ndr1_0
         => ( ~ c1_1(X23)
            | ~ c0_1(X23)
            | c3_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c0_1(X24)
            | c2_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | ~ c0_1(X25)
            | c2_1(X25) ) ) )
    & ( hskp12
      | hskp22
      | ! [X26] :
          ( ndr1_0
         => ( ~ c0_1(X26)
            | c3_1(X26)
            | c2_1(X26) ) ) )
    & ( hskp4
      | hskp21
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | c3_1(X27)
            | c2_1(X27) ) ) )
    & ( hskp23
      | hskp18
      | ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c0_1(X28)
            | c1_1(X28) ) ) )
    & ( hskp15
      | hskp4
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | ~ c0_1(X29)
            | c1_1(X29) ) ) )
    & ( hskp24
      | hskp13
      | ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | ~ c0_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp20
      | ! [X31] :
          ( ndr1_0
         => ( ~ c2_1(X31)
            | ~ c0_1(X31)
            | c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | ~ c0_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp12
      | hskp30
      | ! [X33] :
          ( ndr1_0
         => ( ~ c2_1(X33)
            | ~ c0_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp15
      | hskp9
      | ! [X34] :
          ( ndr1_0
         => ( ~ c2_1(X34)
            | ~ c0_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp12
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c1_1(X35)
            | ~ c0_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c2_1(X36)
            | ~ c0_1(X36)
            | c1_1(X36) ) ) )
    & ( hskp1
      | hskp10
      | ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | c3_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp18
      | ! [X38] :
          ( ndr1_0
         => ( ~ c2_1(X38)
            | ~ c0_1(X38)
            | c1_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c0_1(X39)
            | c3_1(X39)
            | c1_1(X39) ) ) )
    & ( hskp18
      | hskp13
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) ) )
    & ( hskp23
      | hskp22
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | c2_1(X41)
            | c1_1(X41) ) ) )
    & ( hskp20
      | hskp22
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | c2_1(X42)
            | c1_1(X42) ) ) )
    & ( ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c1_1(X43)
            | ~ c0_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c1_1(X44)
            | c2_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | c2_1(X45)
            | c1_1(X45) ) ) )
    & ( ! [X46] :
          ( ndr1_0
         => ( ~ c2_1(X46)
            | ~ c1_1(X46)
            | c3_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | ~ c0_1(X47)
            | c2_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | c2_1(X48)
            | c1_1(X48) ) ) )
    & ( hskp20
      | hskp21
      | ! [X49] :
          ( ndr1_0
         => ( c3_1(X49)
            | c2_1(X49)
            | c1_1(X49) ) ) )
    & ( hskp17
      | hskp21
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | ~ c2_1(X50)
            | c0_1(X50) ) ) )
    & ( ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c2_1(X51)
            | ~ c1_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c2_1(X52)
            | ~ c0_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c2_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp20
      | ! [X54] :
          ( ndr1_0
         => ( ~ c2_1(X54)
            | ~ c1_1(X54)
            | c3_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c2_1(X55)
            | c0_1(X55) ) ) )
    & ( hskp19
      | hskp29
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp9
      | ! [X57] :
          ( ndr1_0
         => ( c3_1(X57)
            | c2_1(X57)
            | c1_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | ~ c1_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp15
      | hskp11
      | ! [X59] :
          ( ndr1_0
         => ( ~ c2_1(X59)
            | c3_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp18
      | hskp3
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | c3_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp6
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | ~ c1_1(X61)
            | c3_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c2_1(X62)
            | c3_1(X62)
            | c0_1(X62) ) ) )
    & ( ! [X63] :
          ( ndr1_0
         => ( ~ c0_1(X63)
            | c3_1(X63)
            | c1_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( c3_1(X64)
            | c2_1(X64)
            | c1_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | c3_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp17
      | hskp16
      | ! [X66] :
          ( ndr1_0
         => ( ~ c1_1(X66)
            | c3_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp7
      | hskp28
      | ! [X67] :
          ( ndr1_0
         => ( ~ c3_1(X67)
            | c2_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp15
      | hskp5
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | c2_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp14
      | hskp13
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | c2_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp12
      | ! [X70] :
          ( ndr1_0
         => ( ~ c1_1(X70)
            | ~ c0_1(X70)
            | c3_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | c2_1(X71)
            | c0_1(X71) ) ) )
    & ( hskp11
      | ! [X72] :
          ( ndr1_0
         => ( ~ c3_1(X72)
            | ~ c0_1(X72)
            | c2_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | c2_1(X73)
            | c0_1(X73) ) ) )
    & ( ! [X74] :
          ( ndr1_0
         => ( ~ c2_1(X74)
            | ~ c1_1(X74)
            | c3_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | c3_1(X75)
            | c2_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | c2_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp10
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | ~ c2_1(X77)
            | c1_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | c2_1(X78)
            | c0_1(X78) ) ) )
    & ( hskp6
      | ! [X79] :
          ( ndr1_0
         => ( ~ c2_1(X79)
            | ~ c1_1(X79)
            | ~ c0_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | c2_1(X80)
            | c0_1(X80) ) ) )
    & ( hskp9
      | ! [X81] :
          ( ndr1_0
         => ( ~ c2_1(X81)
            | ~ c1_1(X81)
            | ~ c0_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c1_1(X82)
            | c2_1(X82)
            | c0_1(X82) ) ) )
    & ( ! [X83] :
          ( ndr1_0
         => ( ~ c0_1(X83)
            | c3_1(X83)
            | c2_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | ~ c2_1(X84)
            | c1_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c1_1(X85)
            | c2_1(X85)
            | c0_1(X85) ) ) )
    & ( hskp8
      | hskp7
      | ! [X86] :
          ( ndr1_0
         => ( c3_1(X86)
            | c2_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp6
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c1_1(X87)
            | c2_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( c3_1(X88)
            | c2_1(X88)
            | c0_1(X88) ) ) )
    & ( hskp27
      | ! [X89] :
          ( ndr1_0
         => ( ~ c1_1(X89)
            | ~ c0_1(X89)
            | c2_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( c3_1(X90)
            | c2_1(X90)
            | c0_1(X90) ) ) )
    & ( ! [X91] :
          ( ndr1_0
         => ( ~ c2_1(X91)
            | ~ c1_1(X91)
            | c3_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( ~ c2_1(X92)
            | ~ c0_1(X92)
            | c1_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( c3_1(X93)
            | c2_1(X93)
            | c0_1(X93) ) ) )
    & ( hskp5
      | ! [X94] :
          ( ndr1_0
         => ( ~ c2_1(X94)
            | c3_1(X94)
            | c1_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( c3_1(X95)
            | c2_1(X95)
            | c0_1(X95) ) ) )
    & ( ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | ~ c2_1(X96)
            | c1_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( c3_1(X97)
            | c2_1(X97)
            | c1_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( c3_1(X98)
            | c2_1(X98)
            | c0_1(X98) ) ) )
    & ( hskp0
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | ~ c2_1(X99)
            | c0_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( c3_1(X100)
            | c2_1(X100)
            | c0_1(X100) ) ) )
    & ( hskp4
      | ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | ~ c1_1(X101)
            | ~ c0_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | c1_1(X102)
            | c0_1(X102) ) ) )
    & ( ! [X103] :
          ( ndr1_0
         => ( ~ c0_1(X103)
            | c2_1(X103)
            | c1_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( ~ c3_1(X104)
            | c2_1(X104)
            | c0_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | c1_1(X105)
            | c0_1(X105) ) ) )
    & ( hskp0
      | hskp3
      | ! [X106] :
          ( ndr1_0
         => ( ~ c2_1(X106)
            | c1_1(X106)
            | c0_1(X106) ) ) )
    & ( hskp1
      | ! [X107] :
          ( ndr1_0
         => ( ~ c3_1(X107)
            | ~ c1_1(X107)
            | c2_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c2_1(X108)
            | c1_1(X108)
            | c0_1(X108) ) ) )
    & ( hskp2
      | ! [X109] :
          ( ndr1_0
         => ( ~ c3_1(X109)
            | c2_1(X109)
            | c1_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( ~ c2_1(X110)
            | c1_1(X110)
            | c0_1(X110) ) ) )
    & ( hskp1
      | hskp2
      | ! [X111] :
          ( ndr1_0
         => ( c3_1(X111)
            | c1_1(X111)
            | c0_1(X111) ) ) )
    & ( hskp1
      | hskp0
      | ! [X112] :
          ( ndr1_0
         => ( c3_1(X112)
            | c1_1(X112)
            | c0_1(X112) ) ) )
    & ( ! [X113] :
          ( ndr1_0
         => ( ~ c3_1(X113)
            | ~ c1_1(X113)
            | c2_1(X113) ) )
      | ! [X114] :
          ( ndr1_0
         => ( ~ c1_1(X114)
            | ~ c0_1(X114)
            | c2_1(X114) ) )
      | ! [X115] :
          ( ndr1_0
         => ( c3_1(X115)
            | c1_1(X115)
            | c0_1(X115) ) ) )
    & ( ! [X116] :
          ( ndr1_0
         => ( ~ c1_1(X116)
            | c3_1(X116)
            | c2_1(X116) ) )
      | ! [X117] :
          ( ndr1_0
         => ( ~ c2_1(X117)
            | c3_1(X117)
            | c1_1(X117) ) )
      | ! [X118] :
          ( ndr1_0
         => ( c2_1(X118)
            | c1_1(X118)
            | c0_1(X118) ) ) )
    & ( ( c3_1(a54)
        & c2_1(a54)
        & c0_1(a54)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a35)
        & c1_1(a35)
        & c0_1(a35)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a25)
        & c2_1(a25)
        & c1_1(a25)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a12)
        & c1_1(a12)
        & c0_1(a12)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c0_1(a99)
        & c2_1(a99)
        & c1_1(a99)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a70)
        & ~ c1_1(a70)
        & c0_1(a70)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a58)
        & ~ c0_1(a58)
        & c2_1(a58)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a45)
        & ~ c1_1(a45)
        & c3_1(a45)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a42)
        & c2_1(a42)
        & c0_1(a42)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a38)
        & c1_1(a38)
        & c0_1(a38)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c0_1(a37)
        & c3_1(a37)
        & c1_1(a37)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a36)
        & c3_1(a36)
        & c2_1(a36)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a31)
        & ~ c0_1(a31)
        & c1_1(a31)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a28)
        & ~ c0_1(a28)
        & c3_1(a28)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a27)
        & c3_1(a27)
        & c0_1(a27)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a24)
        & ~ c1_1(a24)
        & ~ c0_1(a24)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a22)
        & c3_1(a22)
        & c2_1(a22)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a21)
        & c2_1(a21)
        & c0_1(a21)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a20)
        & ~ c1_1(a20)
        & c2_1(a20)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a19)
        & ~ c0_1(a19)
        & c2_1(a19)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a18)
        & ~ c0_1(a18)
        & c3_1(a18)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a16)
        & c1_1(a16)
        & c0_1(a16)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a15)
        & ~ c2_1(a15)
        & ~ c1_1(a15)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a14)
        & ~ c0_1(a14)
        & c1_1(a14)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a13)
        & ~ c1_1(a13)
        & ~ c0_1(a13)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a11)
        & ~ c1_1(a11)
        & c0_1(a11)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a9)
        & ~ c2_1(a9)
        & c0_1(a9)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a7)
        & c3_1(a7)
        & c0_1(a7)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a3)
        & c3_1(a3)
        & c1_1(a3)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2)
        & ~ c2_1(a2)
        & ~ c0_1(a2)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a1)
        & c2_1(a1)
        & c1_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp1
          | hskp20
          | hskp28 )
        & ( hskp19
          | hskp28
          | hskp4 )
        & ( hskp28
          | hskp25
          | hskp5 )
        & ( hskp2
          | hskp4
          | hskp16 )
        & ( hskp17
          | hskp2
          | hskp9 )
        & ( hskp24
          | hskp13
          | hskp21 )
        & ( hskp8
          | hskp13
          | hskp27 )
        & ( hskp14
          | hskp26
          | hskp29 )
        & ( hskp24
          | hskp3
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp25
          | hskp5
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c1_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp0
          | hskp22
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp3
          | hskp30
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp16
          | hskp27
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c1_1(X4)
                | ~ c0_1(X4) ) ) )
        & ( hskp25
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c2_1(X5)
                | ~ c1_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c1_1(X6)
                | ~ c0_1(X6) ) ) )
        & ( hskp11
          | hskp19
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c1_1(X7)
                | ~ c0_1(X7) ) ) )
        & ( hskp7
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c1_1(X8)
                | ~ c0_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c1_1(X9)
                | ~ c0_1(X9) ) ) )
        & ( hskp6
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c1_1(X10)
                | c3_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | ~ c0_1(X11)
                | c3_1(X11) ) ) )
        & ( hskp10
          | hskp21
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | ~ c0_1(X12)
                | c3_1(X12) ) ) )
        & ( hskp8
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c1_1(X13)
                | ~ c0_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | ~ c0_1(X14)
                | c3_1(X14) ) ) )
        & ( hskp0
          | hskp28
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c1_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp9
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | ~ c1_1(X16)
                | c3_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c1_1(X17)
                | c2_1(X17) ) ) )
        & ( hskp9
          | hskp29
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c0_1(X18)
                | c2_1(X18) ) ) )
        & ( hskp6
          | hskp24
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | ~ c0_1(X19)
                | c2_1(X19) ) ) )
        & ( hskp17
          | hskp14
          | ! [X20] :
              ( ndr1_0
             => ( ~ c1_1(X20)
                | ~ c0_1(X20)
                | c2_1(X20) ) ) )
        & ( hskp25
          | hskp5
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | ~ c0_1(X21)
                | c2_1(X21) ) ) )
        & ( hskp14
          | hskp16
          | ! [X22] :
              ( ndr1_0
             => ( ~ c1_1(X22)
                | ~ c0_1(X22)
                | c2_1(X22) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | ~ c0_1(X23)
                | c3_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c0_1(X24)
                | c2_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | ~ c0_1(X25)
                | c2_1(X25) ) ) )
        & ( hskp12
          | hskp22
          | ! [X26] :
              ( ndr1_0
             => ( ~ c0_1(X26)
                | c3_1(X26)
                | c2_1(X26) ) ) )
        & ( hskp4
          | hskp21
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | c3_1(X27)
                | c2_1(X27) ) ) )
        & ( hskp23
          | hskp18
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c0_1(X28)
                | c1_1(X28) ) ) )
        & ( hskp15
          | hskp4
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c0_1(X29)
                | c1_1(X29) ) ) )
        & ( hskp24
          | hskp13
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | ~ c0_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp20
          | ! [X31] :
              ( ndr1_0
             => ( ~ c2_1(X31)
                | ~ c0_1(X31)
                | c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c0_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp12
          | hskp30
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | ~ c0_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp15
          | hskp9
          | ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | ~ c0_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp12
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c1_1(X35)
                | ~ c0_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c0_1(X36)
                | c1_1(X36) ) ) )
        & ( hskp1
          | hskp10
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | c3_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp18
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | ~ c0_1(X38)
                | c1_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | c3_1(X39)
                | c1_1(X39) ) ) )
        & ( hskp18
          | hskp13
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) ) )
        & ( hskp23
          | hskp22
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c1_1(X41) ) ) )
        & ( hskp20
          | hskp22
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | c2_1(X42)
                | c1_1(X42) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c1_1(X43)
                | ~ c0_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c1_1(X44)
                | c2_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | c2_1(X45)
                | c1_1(X45) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | ~ c1_1(X46)
                | c3_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c0_1(X47)
                | c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | c2_1(X48)
                | c1_1(X48) ) ) )
        & ( hskp20
          | hskp21
          | ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | c2_1(X49)
                | c1_1(X49) ) ) )
        & ( hskp17
          | hskp21
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c2_1(X50)
                | c0_1(X50) ) ) )
        & ( ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | ~ c1_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c2_1(X52)
                | ~ c0_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c2_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp20
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | ~ c1_1(X54)
                | c3_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp19
          | hskp29
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp9
          | ! [X57] :
              ( ndr1_0
             => ( c3_1(X57)
                | c2_1(X57)
                | c1_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp15
          | hskp11
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | c3_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp18
          | hskp3
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | c3_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp6
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c1_1(X61)
                | c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | c3_1(X62)
                | c0_1(X62) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | c3_1(X63)
                | c1_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c3_1(X64)
                | c2_1(X64)
                | c1_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | c3_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp17
          | hskp16
          | ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | c3_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp7
          | hskp28
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | c2_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp15
          | hskp5
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c2_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp14
          | hskp13
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | c2_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp12
          | ! [X70] :
              ( ndr1_0
             => ( ~ c1_1(X70)
                | ~ c0_1(X70)
                | c3_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | c2_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp11
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c0_1(X72)
                | c2_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c2_1(X73)
                | c0_1(X73) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | ~ c1_1(X74)
                | c3_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | c3_1(X75)
                | c2_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c2_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp10
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c2_1(X77)
                | c1_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c2_1(X78)
                | c0_1(X78) ) ) )
        & ( hskp6
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c1_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | c2_1(X80)
                | c0_1(X80) ) ) )
        & ( hskp9
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | ~ c1_1(X81)
                | ~ c0_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | c2_1(X82)
                | c0_1(X82) ) ) )
        & ( ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | c3_1(X83)
                | c2_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c2_1(X84)
                | c1_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | c2_1(X85)
                | c0_1(X85) ) ) )
        & ( hskp8
          | hskp7
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | c2_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp6
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c1_1(X87)
                | c2_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | c2_1(X88)
                | c0_1(X88) ) ) )
        & ( hskp27
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | ~ c0_1(X89)
                | c2_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c3_1(X90)
                | c2_1(X90)
                | c0_1(X90) ) ) )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c1_1(X91)
                | c3_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | ~ c0_1(X92)
                | c1_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | c2_1(X93)
                | c0_1(X93) ) ) )
        & ( hskp5
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | c3_1(X94)
                | c1_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c3_1(X95)
                | c2_1(X95)
                | c0_1(X95) ) ) )
        & ( ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c2_1(X96)
                | c1_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( c3_1(X97)
                | c2_1(X97)
                | c1_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( c3_1(X98)
                | c2_1(X98)
                | c0_1(X98) ) ) )
        & ( hskp0
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | c0_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | c2_1(X100)
                | c0_1(X100) ) ) )
        & ( hskp4
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c1_1(X101)
                | ~ c0_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | c1_1(X102)
                | c0_1(X102) ) ) )
        & ( ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | c2_1(X103)
                | c1_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | c2_1(X104)
                | c0_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | c1_1(X105)
                | c0_1(X105) ) ) )
        & ( hskp0
          | hskp3
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | c1_1(X106)
                | c0_1(X106) ) ) )
        & ( hskp1
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c1_1(X107)
                | c2_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | c1_1(X108)
                | c0_1(X108) ) ) )
        & ( hskp2
          | ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | c2_1(X109)
                | c1_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | c1_1(X110)
                | c0_1(X110) ) ) )
        & ( hskp1
          | hskp2
          | ! [X111] :
              ( ndr1_0
             => ( c3_1(X111)
                | c1_1(X111)
                | c0_1(X111) ) ) )
        & ( hskp1
          | hskp0
          | ! [X112] :
              ( ndr1_0
             => ( c3_1(X112)
                | c1_1(X112)
                | c0_1(X112) ) ) )
        & ( ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c1_1(X113)
                | c2_1(X113) ) )
          | ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | ~ c0_1(X114)
                | c2_1(X114) ) )
          | ! [X115] :
              ( ndr1_0
             => ( c3_1(X115)
                | c1_1(X115)
                | c0_1(X115) ) ) )
        & ( ! [X116] :
              ( ndr1_0
             => ( ~ c1_1(X116)
                | c3_1(X116)
                | c2_1(X116) ) )
          | ! [X117] :
              ( ndr1_0
             => ( ~ c2_1(X117)
                | c3_1(X117)
                | c1_1(X117) ) )
          | ! [X118] :
              ( ndr1_0
             => ( c2_1(X118)
                | c1_1(X118)
                | c0_1(X118) ) ) )
        & ( ( c3_1(a54)
            & c2_1(a54)
            & c0_1(a54)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a35)
            & c1_1(a35)
            & c0_1(a35)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a25)
            & c2_1(a25)
            & c1_1(a25)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a12)
            & c1_1(a12)
            & c0_1(a12)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c0_1(a99)
            & c2_1(a99)
            & c1_1(a99)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a70)
            & ~ c1_1(a70)
            & c0_1(a70)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c1_1(a58)
            & ~ c0_1(a58)
            & c2_1(a58)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a45)
            & ~ c1_1(a45)
            & c3_1(a45)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c1_1(a42)
            & c2_1(a42)
            & c0_1(a42)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a38)
            & c1_1(a38)
            & c0_1(a38)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c0_1(a37)
            & c3_1(a37)
            & c1_1(a37)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c1_1(a36)
            & c3_1(a36)
            & c2_1(a36)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a31)
            & ~ c0_1(a31)
            & c1_1(a31)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a28)
            & ~ c0_1(a28)
            & c3_1(a28)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a27)
            & c3_1(a27)
            & c0_1(a27)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a24)
            & ~ c1_1(a24)
            & ~ c0_1(a24)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c0_1(a22)
            & c3_1(a22)
            & c2_1(a22)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a21)
            & c2_1(a21)
            & c0_1(a21)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a20)
            & ~ c1_1(a20)
            & c2_1(a20)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a19)
            & ~ c0_1(a19)
            & c2_1(a19)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a18)
            & ~ c0_1(a18)
            & c3_1(a18)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a16)
            & c1_1(a16)
            & c0_1(a16)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a15)
            & ~ c2_1(a15)
            & ~ c1_1(a15)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a14)
            & ~ c0_1(a14)
            & c1_1(a14)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a13)
            & ~ c1_1(a13)
            & ~ c0_1(a13)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c2_1(a11)
            & ~ c1_1(a11)
            & c0_1(a11)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a9)
            & ~ c2_1(a9)
            & c0_1(a9)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a7)
            & c3_1(a7)
            & c0_1(a7)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a3)
            & c3_1(a3)
            & c1_1(a3)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a2)
            & ~ c2_1(a2)
            & ~ c0_1(a2)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a1)
            & c2_1(a1)
            & c1_1(a1)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp1
          | hskp20
          | hskp28 )
        & ( hskp19
          | hskp28
          | hskp4 )
        & ( hskp28
          | hskp25
          | hskp5 )
        & ( hskp2
          | hskp4
          | hskp16 )
        & ( hskp17
          | hskp2
          | hskp9 )
        & ( hskp24
          | hskp13
          | hskp21 )
        & ( hskp8
          | hskp13
          | hskp27 )
        & ( hskp14
          | hskp26
          | hskp29 )
        & ( hskp24
          | hskp3
          | ! [X118] :
              ( ndr1_0
             => ( ~ c3_1(X118)
                | ~ c2_1(X118)
                | ~ c1_1(X118) ) ) )
        & ( hskp25
          | hskp5
          | ! [X117] :
              ( ndr1_0
             => ( ~ c3_1(X117)
                | ~ c1_1(X117)
                | ~ c0_1(X117) ) ) )
        & ( hskp0
          | hskp22
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c1_1(X116)
                | ~ c0_1(X116) ) ) )
        & ( hskp3
          | hskp30
          | ! [X115] :
              ( ndr1_0
             => ( ~ c3_1(X115)
                | ~ c1_1(X115)
                | ~ c0_1(X115) ) ) )
        & ( hskp16
          | hskp27
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c1_1(X114)
                | ~ c0_1(X114) ) ) )
        & ( hskp25
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c2_1(X113)
                | ~ c1_1(X113) ) )
          | ! [X112] :
              ( ndr1_0
             => ( ~ c3_1(X112)
                | ~ c1_1(X112)
                | ~ c0_1(X112) ) ) )
        & ( hskp11
          | hskp19
          | ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | ~ c1_1(X111)
                | ~ c0_1(X111) ) ) )
        & ( hskp7
          | ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c1_1(X110)
                | ~ c0_1(X110) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c1_1(X109)
                | ~ c0_1(X109) ) ) )
        & ( hskp6
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | ~ c1_1(X108)
                | c3_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | ~ c0_1(X107)
                | c3_1(X107) ) ) )
        & ( hskp10
          | hskp21
          | ! [X106] :
              ( ndr1_0
             => ( ~ c1_1(X106)
                | ~ c0_1(X106)
                | c3_1(X106) ) ) )
        & ( hskp8
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c1_1(X105)
                | ~ c0_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c1_1(X104)
                | ~ c0_1(X104)
                | c3_1(X104) ) ) )
        & ( hskp0
          | hskp28
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c1_1(X103)
                | c2_1(X103) ) ) )
        & ( hskp9
          | ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | ~ c1_1(X102)
                | c3_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c1_1(X101)
                | c2_1(X101) ) ) )
        & ( hskp9
          | hskp29
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c0_1(X100)
                | c2_1(X100) ) ) )
        & ( hskp6
          | hskp24
          | ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | ~ c0_1(X99)
                | c2_1(X99) ) ) )
        & ( hskp17
          | hskp14
          | ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | ~ c0_1(X98)
                | c2_1(X98) ) ) )
        & ( hskp25
          | hskp5
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | ~ c0_1(X97)
                | c2_1(X97) ) ) )
        & ( hskp14
          | hskp16
          | ! [X96] :
              ( ndr1_0
             => ( ~ c1_1(X96)
                | ~ c0_1(X96)
                | c2_1(X96) ) ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | ~ c0_1(X95)
                | c3_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c0_1(X94)
                | c2_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | ~ c0_1(X93)
                | c2_1(X93) ) ) )
        & ( hskp12
          | hskp22
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | c3_1(X92)
                | c2_1(X92) ) ) )
        & ( hskp4
          | hskp21
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | c3_1(X91)
                | c2_1(X91) ) ) )
        & ( hskp23
          | hskp18
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c0_1(X90)
                | c1_1(X90) ) ) )
        & ( hskp15
          | hskp4
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c0_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp24
          | hskp13
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c0_1(X88)
                | c1_1(X88) ) ) )
        & ( hskp20
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c0_1(X87)
                | c3_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c0_1(X86)
                | c1_1(X86) ) ) )
        & ( hskp12
          | hskp30
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | ~ c0_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp15
          | hskp9
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c0_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp12
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c1_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | ~ c0_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp1
          | hskp10
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | c3_1(X81)
                | c1_1(X81) ) ) )
        & ( hskp18
          | ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | ~ c0_1(X80)
                | c1_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c3_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp18
          | hskp13
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp23
          | hskp22
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c2_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp20
          | hskp22
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c1_1(X75)
                | ~ c0_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c1_1(X74)
                | c2_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c2_1(X73)
                | c1_1(X73) ) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c1_1(X72)
                | c3_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c0_1(X71)
                | c2_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp20
          | hskp21
          | ! [X69] :
              ( ndr1_0
             => ( c3_1(X69)
                | c2_1(X69)
                | c1_1(X69) ) ) )
        & ( hskp17
          | hskp21
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c2_1(X68)
                | c0_1(X68) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c2_1(X67)
                | ~ c1_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | ~ c0_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c2_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp20
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | ~ c1_1(X64)
                | c3_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp19
          | hskp29
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp9
          | ! [X61] :
              ( ndr1_0
             => ( c3_1(X61)
                | c2_1(X61)
                | c1_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp15
          | hskp11
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | c3_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp18
          | hskp3
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | c3_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp6
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c1_1(X57)
                | c3_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | c3_1(X56)
                | c0_1(X56) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | c3_1(X55)
                | c1_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c3_1(X54)
                | c2_1(X54)
                | c1_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp17
          | hskp16
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c3_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp7
          | hskp28
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | c2_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp15
          | hskp5
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp14
          | hskp13
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | c2_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp12
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | ~ c0_1(X48)
                | c3_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | c2_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp11
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c0_1(X46)
                | c2_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | c2_1(X45)
                | c0_1(X45) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | ~ c1_1(X44)
                | c3_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c3_1(X43)
                | c2_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | c2_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp10
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | c1_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp6
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | ~ c1_1(X39)
                | ~ c0_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp9
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c1_1(X37)
                | ~ c0_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | c3_1(X35)
                | c2_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c2_1(X34)
                | c1_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp8
          | hskp7
          | ! [X32] :
              ( ndr1_0
             => ( c3_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp6
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | ~ c1_1(X31)
                | c2_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp27
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | ~ c0_1(X29)
                | c2_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c3_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | ~ c1_1(X27)
                | c3_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | ~ c0_1(X26)
                | c1_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp5
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | c3_1(X24)
                | c1_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | c2_1(X23)
                | c0_1(X23) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c3_1(X21)
                | c2_1(X21)
                | c1_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | c2_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp0
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c2_1(X19)
                | c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | c2_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp4
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c1_1(X17)
                | ~ c0_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | c2_1(X15)
                | c1_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | c2_1(X14)
                | c0_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp0
          | hskp3
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp1
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c1_1(X11)
                | c2_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp2
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | c2_1(X9)
                | c1_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp1
          | hskp2
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp1
          | hskp0
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c1_1(X5)
                | c2_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c1_1(X4)
                | ~ c0_1(X4)
                | c2_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c3_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c1_1(X2)
                | c3_1(X2)
                | c2_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | c3_1(X1)
                | c1_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a54)
            & c2_1(a54)
            & c0_1(a54)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a35)
            & c1_1(a35)
            & c0_1(a35)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a25)
            & c2_1(a25)
            & c1_1(a25)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a12)
            & c1_1(a12)
            & c0_1(a12)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c0_1(a99)
            & c2_1(a99)
            & c1_1(a99)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a70)
            & ~ c1_1(a70)
            & c0_1(a70)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c1_1(a58)
            & ~ c0_1(a58)
            & c2_1(a58)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a45)
            & ~ c1_1(a45)
            & c3_1(a45)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c1_1(a42)
            & c2_1(a42)
            & c0_1(a42)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a38)
            & c1_1(a38)
            & c0_1(a38)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c0_1(a37)
            & c3_1(a37)
            & c1_1(a37)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c1_1(a36)
            & c3_1(a36)
            & c2_1(a36)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a31)
            & ~ c0_1(a31)
            & c1_1(a31)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a28)
            & ~ c0_1(a28)
            & c3_1(a28)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a27)
            & c3_1(a27)
            & c0_1(a27)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a24)
            & ~ c1_1(a24)
            & ~ c0_1(a24)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c0_1(a22)
            & c3_1(a22)
            & c2_1(a22)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a21)
            & c2_1(a21)
            & c0_1(a21)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a20)
            & ~ c1_1(a20)
            & c2_1(a20)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a19)
            & ~ c0_1(a19)
            & c2_1(a19)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a18)
            & ~ c0_1(a18)
            & c3_1(a18)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a16)
            & c1_1(a16)
            & c0_1(a16)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a15)
            & ~ c2_1(a15)
            & ~ c1_1(a15)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a14)
            & ~ c0_1(a14)
            & c1_1(a14)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a13)
            & ~ c1_1(a13)
            & ~ c0_1(a13)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c2_1(a11)
            & ~ c1_1(a11)
            & c0_1(a11)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a9)
            & ~ c2_1(a9)
            & c0_1(a9)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a7)
            & c3_1(a7)
            & c0_1(a7)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a3)
            & c3_1(a3)
            & c1_1(a3)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a2)
            & ~ c2_1(a2)
            & ~ c0_1(a2)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a1)
            & c2_1(a1)
            & c1_1(a1)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp1
        | hskp20
        | hskp28 )
      & ( hskp19
        | hskp28
        | hskp4 )
      & ( hskp28
        | hskp25
        | hskp5 )
      & ( hskp2
        | hskp4
        | hskp16 )
      & ( hskp17
        | hskp2
        | hskp9 )
      & ( hskp24
        | hskp13
        | hskp21 )
      & ( hskp8
        | hskp13
        | hskp27 )
      & ( hskp14
        | hskp26
        | hskp29 )
      & ( hskp24
        | hskp3
        | ! [X118] :
            ( ndr1_0
           => ( ~ c3_1(X118)
              | ~ c2_1(X118)
              | ~ c1_1(X118) ) ) )
      & ( hskp25
        | hskp5
        | ! [X117] :
            ( ndr1_0
           => ( ~ c3_1(X117)
              | ~ c1_1(X117)
              | ~ c0_1(X117) ) ) )
      & ( hskp0
        | hskp22
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c1_1(X116)
              | ~ c0_1(X116) ) ) )
      & ( hskp3
        | hskp30
        | ! [X115] :
            ( ndr1_0
           => ( ~ c3_1(X115)
              | ~ c1_1(X115)
              | ~ c0_1(X115) ) ) )
      & ( hskp16
        | hskp27
        | ! [X114] :
            ( ndr1_0
           => ( ~ c3_1(X114)
              | ~ c1_1(X114)
              | ~ c0_1(X114) ) ) )
      & ( hskp25
        | ! [X113] :
            ( ndr1_0
           => ( ~ c3_1(X113)
              | ~ c2_1(X113)
              | ~ c1_1(X113) ) )
        | ! [X112] :
            ( ndr1_0
           => ( ~ c3_1(X112)
              | ~ c1_1(X112)
              | ~ c0_1(X112) ) ) )
      & ( hskp11
        | hskp19
        | ! [X111] :
            ( ndr1_0
           => ( ~ c2_1(X111)
              | ~ c1_1(X111)
              | ~ c0_1(X111) ) ) )
      & ( hskp7
        | ! [X110] :
            ( ndr1_0
           => ( ~ c3_1(X110)
              | ~ c1_1(X110)
              | ~ c0_1(X110) ) )
        | ! [X109] :
            ( ndr1_0
           => ( ~ c2_1(X109)
              | ~ c1_1(X109)
              | ~ c0_1(X109) ) ) )
      & ( hskp6
        | ! [X108] :
            ( ndr1_0
           => ( ~ c2_1(X108)
              | ~ c1_1(X108)
              | c3_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c2_1(X107)
              | ~ c0_1(X107)
              | c3_1(X107) ) ) )
      & ( hskp10
        | hskp21
        | ! [X106] :
            ( ndr1_0
           => ( ~ c1_1(X106)
              | ~ c0_1(X106)
              | c3_1(X106) ) ) )
      & ( hskp8
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c1_1(X105)
              | ~ c0_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c1_1(X104)
              | ~ c0_1(X104)
              | c3_1(X104) ) ) )
      & ( hskp0
        | hskp28
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c1_1(X103)
              | c2_1(X103) ) ) )
      & ( hskp9
        | ! [X102] :
            ( ndr1_0
           => ( ~ c2_1(X102)
              | ~ c1_1(X102)
              | c3_1(X102) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c1_1(X101)
              | c2_1(X101) ) ) )
      & ( hskp9
        | hskp29
        | ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c0_1(X100)
              | c2_1(X100) ) ) )
      & ( hskp6
        | hskp24
        | ! [X99] :
            ( ndr1_0
           => ( ~ c1_1(X99)
              | ~ c0_1(X99)
              | c2_1(X99) ) ) )
      & ( hskp17
        | hskp14
        | ! [X98] :
            ( ndr1_0
           => ( ~ c1_1(X98)
              | ~ c0_1(X98)
              | c2_1(X98) ) ) )
      & ( hskp25
        | hskp5
        | ! [X97] :
            ( ndr1_0
           => ( ~ c1_1(X97)
              | ~ c0_1(X97)
              | c2_1(X97) ) ) )
      & ( hskp14
        | hskp16
        | ! [X96] :
            ( ndr1_0
           => ( ~ c1_1(X96)
              | ~ c0_1(X96)
              | c2_1(X96) ) ) )
      & ( ! [X95] :
            ( ndr1_0
           => ( ~ c1_1(X95)
              | ~ c0_1(X95)
              | c3_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c0_1(X94)
              | c2_1(X94) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c1_1(X93)
              | ~ c0_1(X93)
              | c2_1(X93) ) ) )
      & ( hskp12
        | hskp22
        | ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | c3_1(X92)
              | c2_1(X92) ) ) )
      & ( hskp4
        | hskp21
        | ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | c3_1(X91)
              | c2_1(X91) ) ) )
      & ( hskp23
        | hskp18
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c0_1(X90)
              | c1_1(X90) ) ) )
      & ( hskp15
        | hskp4
        | ! [X89] :
            ( ndr1_0
           => ( ~ c3_1(X89)
              | ~ c0_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp24
        | hskp13
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c0_1(X88)
              | c1_1(X88) ) ) )
      & ( hskp20
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | ~ c0_1(X87)
              | c3_1(X87) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c0_1(X86)
              | c1_1(X86) ) ) )
      & ( hskp12
        | hskp30
        | ! [X85] :
            ( ndr1_0
           => ( ~ c2_1(X85)
              | ~ c0_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp15
        | hskp9
        | ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | ~ c0_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp12
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c1_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c2_1(X82)
              | ~ c0_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp1
        | hskp10
        | ! [X81] :
            ( ndr1_0
           => ( ~ c2_1(X81)
              | c3_1(X81)
              | c1_1(X81) ) ) )
      & ( hskp18
        | ! [X80] :
            ( ndr1_0
           => ( ~ c2_1(X80)
              | ~ c0_1(X80)
              | c1_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | c3_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp18
        | hskp13
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | c2_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp23
        | hskp22
        | ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | c2_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp20
        | hskp22
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | c2_1(X76)
              | c1_1(X76) ) ) )
      & ( ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c1_1(X75)
              | ~ c0_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c1_1(X74)
              | c2_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | c2_1(X73)
              | c1_1(X73) ) ) )
      & ( ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | ~ c1_1(X72)
              | c3_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c0_1(X71)
              | c2_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp20
        | hskp21
        | ! [X69] :
            ( ndr1_0
           => ( c3_1(X69)
              | c2_1(X69)
              | c1_1(X69) ) ) )
      & ( hskp17
        | hskp21
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c2_1(X68)
              | c0_1(X68) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c2_1(X67)
              | ~ c1_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c2_1(X66)
              | ~ c0_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c2_1(X65)
              | c0_1(X65) ) ) )
      & ( hskp20
        | ! [X64] :
            ( ndr1_0
           => ( ~ c2_1(X64)
              | ~ c1_1(X64)
              | c3_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c2_1(X63)
              | c0_1(X63) ) ) )
      & ( hskp19
        | hskp29
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c1_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp9
        | ! [X61] :
            ( ndr1_0
           => ( c3_1(X61)
              | c2_1(X61)
              | c1_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | ~ c1_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp15
        | hskp11
        | ! [X59] :
            ( ndr1_0
           => ( ~ c2_1(X59)
              | c3_1(X59)
              | c0_1(X59) ) ) )
      & ( hskp18
        | hskp3
        | ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | c3_1(X58)
              | c0_1(X58) ) ) )
      & ( hskp6
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | ~ c1_1(X57)
              | c3_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | c3_1(X56)
              | c0_1(X56) ) ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( ~ c0_1(X55)
              | c3_1(X55)
              | c1_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c3_1(X54)
              | c2_1(X54)
              | c1_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | c3_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp17
        | hskp16
        | ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | c3_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp7
        | hskp28
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | c2_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp15
        | hskp5
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | c2_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp14
        | hskp13
        | ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | c2_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp12
        | ! [X48] :
            ( ndr1_0
           => ( ~ c1_1(X48)
              | ~ c0_1(X48)
              | c3_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | c2_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp11
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | ~ c0_1(X46)
              | c2_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | c2_1(X45)
              | c0_1(X45) ) ) )
      & ( ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | ~ c1_1(X44)
              | c3_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c3_1(X43)
              | c2_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | c2_1(X42)
              | c0_1(X42) ) ) )
      & ( hskp10
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | ~ c2_1(X41)
              | c1_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | c2_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp6
        | ! [X39] :
            ( ndr1_0
           => ( ~ c2_1(X39)
              | ~ c1_1(X39)
              | ~ c0_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp9
        | ! [X37] :
            ( ndr1_0
           => ( ~ c2_1(X37)
              | ~ c1_1(X37)
              | ~ c0_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( ~ c0_1(X35)
              | c3_1(X35)
              | c2_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | ~ c2_1(X34)
              | c1_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp8
        | hskp7
        | ! [X32] :
            ( ndr1_0
           => ( c3_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp6
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | ~ c1_1(X31)
              | c2_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c3_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp27
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | ~ c0_1(X29)
              | c2_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c3_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( ~ c2_1(X27)
              | ~ c1_1(X27)
              | c3_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c2_1(X26)
              | ~ c0_1(X26)
              | c1_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp5
        | ! [X24] :
            ( ndr1_0
           => ( ~ c2_1(X24)
              | c3_1(X24)
              | c1_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c3_1(X23)
              | c2_1(X23)
              | c0_1(X23) ) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | ~ c2_1(X22)
              | c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c3_1(X21)
              | c2_1(X21)
              | c1_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c3_1(X20)
              | c2_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp0
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | ~ c2_1(X19)
              | c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c3_1(X18)
              | c2_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp4
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | ~ c1_1(X17)
              | ~ c0_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( ! [X15] :
            ( ndr1_0
           => ( ~ c0_1(X15)
              | c2_1(X15)
              | c1_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c3_1(X14)
              | c2_1(X14)
              | c0_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( hskp0
        | hskp3
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( hskp1
        | ! [X11] :
            ( ndr1_0
           => ( ~ c3_1(X11)
              | ~ c1_1(X11)
              | c2_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c2_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp2
        | ! [X9] :
            ( ndr1_0
           => ( ~ c3_1(X9)
              | c2_1(X9)
              | c1_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp1
        | hskp2
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp1
        | hskp0
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( ~ c3_1(X5)
              | ~ c1_1(X5)
              | c2_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( ~ c1_1(X4)
              | ~ c0_1(X4)
              | c2_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c3_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c1_1(X2)
              | c3_1(X2)
              | c2_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | c3_1(X1)
              | c1_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a54)
          & c2_1(a54)
          & c0_1(a54)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c2_1(a35)
          & c1_1(a35)
          & c0_1(a35)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a25)
          & c2_1(a25)
          & c1_1(a25)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a12)
          & c1_1(a12)
          & c0_1(a12)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c0_1(a99)
          & c2_1(a99)
          & c1_1(a99)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a70)
          & ~ c1_1(a70)
          & c0_1(a70)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c1_1(a58)
          & ~ c0_1(a58)
          & c2_1(a58)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c2_1(a45)
          & ~ c1_1(a45)
          & c3_1(a45)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c1_1(a42)
          & c2_1(a42)
          & c0_1(a42)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c2_1(a38)
          & c1_1(a38)
          & c0_1(a38)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c0_1(a37)
          & c3_1(a37)
          & c1_1(a37)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c1_1(a36)
          & c3_1(a36)
          & c2_1(a36)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a31)
          & ~ c0_1(a31)
          & c1_1(a31)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c2_1(a28)
          & ~ c0_1(a28)
          & c3_1(a28)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c1_1(a27)
          & c3_1(a27)
          & c0_1(a27)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c2_1(a24)
          & ~ c1_1(a24)
          & ~ c0_1(a24)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c0_1(a22)
          & c3_1(a22)
          & c2_1(a22)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a21)
          & c2_1(a21)
          & c0_1(a21)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a20)
          & ~ c1_1(a20)
          & c2_1(a20)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a19)
          & ~ c0_1(a19)
          & c2_1(a19)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c1_1(a18)
          & ~ c0_1(a18)
          & c3_1(a18)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a16)
          & c1_1(a16)
          & c0_1(a16)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a15)
          & ~ c2_1(a15)
          & ~ c1_1(a15)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a14)
          & ~ c0_1(a14)
          & c1_1(a14)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a13)
          & ~ c1_1(a13)
          & ~ c0_1(a13)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c2_1(a11)
          & ~ c1_1(a11)
          & c0_1(a11)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a9)
          & ~ c2_1(a9)
          & c0_1(a9)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a7)
          & c3_1(a7)
          & c0_1(a7)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c2_1(a3)
          & c3_1(a3)
          & c1_1(a3)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a2)
          & ~ c2_1(a2)
          & ~ c0_1(a2)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a1)
          & c2_1(a1)
          & c1_1(a1)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f1039,plain,
    ( ~ spl0_25
    | spl0_156 ),
    inference(avatar_split_clause,[],[f9,f1036,f351]) ).

fof(f9,plain,
    ( c2_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1034,plain,
    ( ~ spl0_25
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f10,f1031,f351]) ).

fof(f10,plain,
    ( ~ c3_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1028,plain,
    ( ~ spl0_3
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f12,f1025,f255]) ).

fof(f255,plain,
    ( spl0_3
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f12,plain,
    ( ~ c0_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1023,plain,
    ( ~ spl0_3
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f13,f1020,f255]) ).

fof(f13,plain,
    ( ~ c2_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1018,plain,
    ( ~ spl0_3
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f14,f1015,f255]) ).

fof(f14,plain,
    ( ~ c3_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1013,plain,
    ( ~ spl0_9
    | spl0_20 ),
    inference(avatar_split_clause,[],[f15,f331,f282]) ).

fof(f282,plain,
    ( spl0_9
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f331,plain,
    ( spl0_20
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f15,plain,
    ( ndr1_0
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1012,plain,
    ( ~ spl0_9
    | spl0_151 ),
    inference(avatar_split_clause,[],[f16,f1009,f282]) ).

fof(f16,plain,
    ( c1_1(a3)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1007,plain,
    ( ~ spl0_9
    | spl0_150 ),
    inference(avatar_split_clause,[],[f17,f1004,f282]) ).

fof(f17,plain,
    ( c3_1(a3)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1002,plain,
    ( ~ spl0_9
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f18,f999,f282]) ).

fof(f18,plain,
    ( ~ c2_1(a3)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f996,plain,
    ( ~ spl0_22
    | spl0_148 ),
    inference(avatar_split_clause,[],[f20,f993,f338]) ).

fof(f338,plain,
    ( spl0_22
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f20,plain,
    ( c0_1(a7)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f991,plain,
    ( ~ spl0_22
    | spl0_147 ),
    inference(avatar_split_clause,[],[f21,f988,f338]) ).

fof(f21,plain,
    ( c3_1(a7)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f986,plain,
    ( ~ spl0_22
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f22,f983,f338]) ).

fof(f22,plain,
    ( ~ c2_1(a7)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f981,plain,
    ( ~ spl0_4
    | spl0_20 ),
    inference(avatar_split_clause,[],[f23,f331,f260]) ).

fof(f260,plain,
    ( spl0_4
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f23,plain,
    ( ndr1_0
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f980,plain,
    ( ~ spl0_4
    | spl0_145 ),
    inference(avatar_split_clause,[],[f24,f977,f260]) ).

fof(f24,plain,
    ( c0_1(a9)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f975,plain,
    ( ~ spl0_4
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f25,f972,f260]) ).

fof(f25,plain,
    ( ~ c2_1(a9)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f970,plain,
    ( ~ spl0_4
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f26,f967,f260]) ).

fof(f26,plain,
    ( ~ c3_1(a9)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f964,plain,
    ( ~ spl0_6
    | spl0_142 ),
    inference(avatar_split_clause,[],[f28,f961,f269]) ).

fof(f269,plain,
    ( spl0_6
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f28,plain,
    ( c0_1(a11)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f959,plain,
    ( ~ spl0_6
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f29,f956,f269]) ).

fof(f29,plain,
    ( ~ c1_1(a11)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f954,plain,
    ( ~ spl0_6
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f30,f951,f269]) ).

fof(f30,plain,
    ( ~ c2_1(a11)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f948,plain,
    ( ~ spl0_32
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f32,f945,f382]) ).

fof(f382,plain,
    ( spl0_32
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f32,plain,
    ( ~ c0_1(a13)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f943,plain,
    ( ~ spl0_32
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f33,f940,f382]) ).

fof(f33,plain,
    ( ~ c1_1(a13)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f938,plain,
    ( ~ spl0_32
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f34,f935,f382]) ).

fof(f34,plain,
    ( ~ c3_1(a13)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f932,plain,
    ( ~ spl0_29
    | spl0_136 ),
    inference(avatar_split_clause,[],[f36,f929,f371]) ).

fof(f371,plain,
    ( spl0_29
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f36,plain,
    ( c1_1(a14)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f927,plain,
    ( ~ spl0_29
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f37,f924,f371]) ).

fof(f37,plain,
    ( ~ c0_1(a14)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f922,plain,
    ( ~ spl0_29
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f38,f919,f371]) ).

fof(f38,plain,
    ( ~ c2_1(a14)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f916,plain,
    ( ~ spl0_16
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f40,f913,f313]) ).

fof(f313,plain,
    ( spl0_16
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f40,plain,
    ( ~ c1_1(a15)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f911,plain,
    ( ~ spl0_16
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f41,f908,f313]) ).

fof(f41,plain,
    ( ~ c2_1(a15)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f900,plain,
    ( ~ spl0_10
    | spl0_130 ),
    inference(avatar_split_clause,[],[f44,f897,f287]) ).

fof(f287,plain,
    ( spl0_10
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f44,plain,
    ( c0_1(a16)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f895,plain,
    ( ~ spl0_10
    | spl0_129 ),
    inference(avatar_split_clause,[],[f45,f892,f287]) ).

fof(f45,plain,
    ( c1_1(a16)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f890,plain,
    ( ~ spl0_10
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f46,f887,f287]) ).

fof(f46,plain,
    ( ~ c3_1(a16)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f884,plain,
    ( ~ spl0_34
    | spl0_127 ),
    inference(avatar_split_clause,[],[f48,f881,f390]) ).

fof(f390,plain,
    ( spl0_34
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f48,plain,
    ( c3_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f879,plain,
    ( ~ spl0_34
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f49,f876,f390]) ).

fof(f49,plain,
    ( ~ c0_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f874,plain,
    ( ~ spl0_34
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f50,f871,f390]) ).

fof(f50,plain,
    ( ~ c1_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f852,plain,
    ( ~ spl0_39
    | spl0_121 ),
    inference(avatar_split_clause,[],[f56,f849,f416]) ).

fof(f416,plain,
    ( spl0_39
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f56,plain,
    ( c2_1(a20)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f847,plain,
    ( ~ spl0_39
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f57,f844,f416]) ).

fof(f57,plain,
    ( ~ c1_1(a20)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f842,plain,
    ( ~ spl0_39
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f58,f839,f416]) ).

fof(f58,plain,
    ( ~ c3_1(a20)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f836,plain,
    ( ~ spl0_13
    | spl0_118 ),
    inference(avatar_split_clause,[],[f60,f833,f300]) ).

fof(f300,plain,
    ( spl0_13
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f60,plain,
    ( c0_1(a21)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f831,plain,
    ( ~ spl0_13
    | spl0_117 ),
    inference(avatar_split_clause,[],[f61,f828,f300]) ).

fof(f61,plain,
    ( c2_1(a21)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f826,plain,
    ( ~ spl0_13
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f62,f823,f300]) ).

fof(f62,plain,
    ( ~ c3_1(a21)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f820,plain,
    ( ~ spl0_19
    | spl0_115 ),
    inference(avatar_split_clause,[],[f64,f817,f326]) ).

fof(f326,plain,
    ( spl0_19
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f64,plain,
    ( c2_1(a22)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f815,plain,
    ( ~ spl0_19
    | spl0_114 ),
    inference(avatar_split_clause,[],[f65,f812,f326]) ).

fof(f65,plain,
    ( c3_1(a22)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f810,plain,
    ( ~ spl0_19
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f66,f807,f326]) ).

fof(f66,plain,
    ( ~ c0_1(a22)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f799,plain,
    ( ~ spl0_43
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f69,f796,f434]) ).

fof(f434,plain,
    ( spl0_43
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f69,plain,
    ( ~ c1_1(a24)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f794,plain,
    ( ~ spl0_43
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f70,f791,f434]) ).

fof(f70,plain,
    ( ~ c2_1(a24)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f789,plain,
    ( ~ spl0_8
    | spl0_20 ),
    inference(avatar_split_clause,[],[f71,f331,f278]) ).

fof(f278,plain,
    ( spl0_8
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f71,plain,
    ( ndr1_0
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f788,plain,
    ( ~ spl0_8
    | spl0_109 ),
    inference(avatar_split_clause,[],[f72,f785,f278]) ).

fof(f72,plain,
    ( c0_1(a27)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f783,plain,
    ( ~ spl0_8
    | spl0_108 ),
    inference(avatar_split_clause,[],[f73,f780,f278]) ).

fof(f73,plain,
    ( c3_1(a27)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f778,plain,
    ( ~ spl0_8
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f74,f775,f278]) ).

fof(f74,plain,
    ( ~ c1_1(a27)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f772,plain,
    ( ~ spl0_11
    | spl0_106 ),
    inference(avatar_split_clause,[],[f76,f769,f291]) ).

fof(f291,plain,
    ( spl0_11
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f76,plain,
    ( c3_1(a28)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f767,plain,
    ( ~ spl0_11
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f77,f764,f291]) ).

fof(f77,plain,
    ( ~ c0_1(a28)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f762,plain,
    ( ~ spl0_11
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f78,f759,f291]) ).

fof(f78,plain,
    ( ~ c2_1(a28)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f756,plain,
    ( ~ spl0_41
    | spl0_103 ),
    inference(avatar_split_clause,[],[f80,f753,f425]) ).

fof(f425,plain,
    ( spl0_41
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f80,plain,
    ( c1_1(a31)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f751,plain,
    ( ~ spl0_41
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f81,f748,f425]) ).

fof(f81,plain,
    ( ~ c0_1(a31)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f746,plain,
    ( ~ spl0_41
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f82,f743,f425]) ).

fof(f82,plain,
    ( ~ c3_1(a31)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f740,plain,
    ( ~ spl0_5
    | spl0_100 ),
    inference(avatar_split_clause,[],[f84,f737,f264]) ).

fof(f264,plain,
    ( spl0_5
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f84,plain,
    ( c2_1(a36)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f735,plain,
    ( ~ spl0_5
    | spl0_99 ),
    inference(avatar_split_clause,[],[f85,f732,f264]) ).

fof(f85,plain,
    ( c3_1(a36)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f730,plain,
    ( ~ spl0_5
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f86,f727,f264]) ).

fof(f86,plain,
    ( ~ c1_1(a36)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f724,plain,
    ( ~ spl0_2
    | spl0_97 ),
    inference(avatar_split_clause,[],[f88,f721,f251]) ).

fof(f251,plain,
    ( spl0_2
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f88,plain,
    ( c1_1(a37)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f719,plain,
    ( ~ spl0_2
    | spl0_96 ),
    inference(avatar_split_clause,[],[f89,f716,f251]) ).

fof(f89,plain,
    ( c3_1(a37)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f714,plain,
    ( ~ spl0_2
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f90,f711,f251]) ).

fof(f90,plain,
    ( ~ c0_1(a37)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f708,plain,
    ( ~ spl0_12
    | spl0_94 ),
    inference(avatar_split_clause,[],[f92,f705,f296]) ).

fof(f296,plain,
    ( spl0_12
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f92,plain,
    ( c0_1(a38)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f703,plain,
    ( ~ spl0_12
    | spl0_93 ),
    inference(avatar_split_clause,[],[f93,f700,f296]) ).

fof(f93,plain,
    ( c1_1(a38)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f698,plain,
    ( ~ spl0_12
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f94,f695,f296]) ).

fof(f94,plain,
    ( ~ c2_1(a38)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f660,plain,
    ( ~ spl0_14
    | spl0_85 ),
    inference(avatar_split_clause,[],[f104,f657,f304]) ).

fof(f304,plain,
    ( spl0_14
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f104,plain,
    ( c2_1(a58)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f655,plain,
    ( ~ spl0_14
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f105,f652,f304]) ).

fof(f105,plain,
    ( ~ c0_1(a58)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f650,plain,
    ( ~ spl0_14
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f106,f647,f304]) ).

fof(f106,plain,
    ( ~ c1_1(a58)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f644,plain,
    ( ~ spl0_7
    | spl0_82 ),
    inference(avatar_split_clause,[],[f108,f641,f273]) ).

fof(f273,plain,
    ( spl0_7
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f108,plain,
    ( c0_1(a70)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f639,plain,
    ( ~ spl0_7
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f109,f636,f273]) ).

fof(f109,plain,
    ( ~ c1_1(a70)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f634,plain,
    ( ~ spl0_7
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f110,f631,f273]) ).

fof(f110,plain,
    ( ~ c3_1(a70)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f628,plain,
    ( ~ spl0_18
    | spl0_79 ),
    inference(avatar_split_clause,[],[f112,f625,f322]) ).

fof(f322,plain,
    ( spl0_18
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f112,plain,
    ( c1_1(a99)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f623,plain,
    ( ~ spl0_18
    | spl0_78 ),
    inference(avatar_split_clause,[],[f113,f620,f322]) ).

fof(f113,plain,
    ( c2_1(a99)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f618,plain,
    ( ~ spl0_18
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f114,f615,f322]) ).

fof(f114,plain,
    ( ~ c0_1(a99)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f612,plain,
    ( ~ spl0_15
    | spl0_76 ),
    inference(avatar_split_clause,[],[f116,f609,f309]) ).

fof(f309,plain,
    ( spl0_15
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f116,plain,
    ( c0_1(a12)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f607,plain,
    ( ~ spl0_15
    | spl0_75 ),
    inference(avatar_split_clause,[],[f117,f604,f309]) ).

fof(f117,plain,
    ( c1_1(a12)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f602,plain,
    ( ~ spl0_15
    | spl0_74 ),
    inference(avatar_split_clause,[],[f118,f599,f309]) ).

fof(f118,plain,
    ( c3_1(a12)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f596,plain,
    ( ~ spl0_1
    | spl0_73 ),
    inference(avatar_split_clause,[],[f120,f593,f247]) ).

fof(f247,plain,
    ( spl0_1
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f120,plain,
    ( c1_1(a25)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f591,plain,
    ( ~ spl0_1
    | spl0_72 ),
    inference(avatar_split_clause,[],[f121,f588,f247]) ).

fof(f121,plain,
    ( c2_1(a25)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f586,plain,
    ( ~ spl0_1
    | spl0_71 ),
    inference(avatar_split_clause,[],[f122,f583,f247]) ).

fof(f122,plain,
    ( c3_1(a25)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f580,plain,
    ( ~ spl0_17
    | spl0_70 ),
    inference(avatar_split_clause,[],[f124,f577,f318]) ).

fof(f318,plain,
    ( spl0_17
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f124,plain,
    ( c0_1(a35)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f575,plain,
    ( ~ spl0_17
    | spl0_69 ),
    inference(avatar_split_clause,[],[f125,f572,f318]) ).

fof(f125,plain,
    ( c1_1(a35)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f570,plain,
    ( ~ spl0_17
    | spl0_68 ),
    inference(avatar_split_clause,[],[f126,f567,f318]) ).

fof(f126,plain,
    ( c2_1(a35)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f539,plain,
    ( spl0_62
    | ~ spl0_20
    | spl0_47
    | spl0_9 ),
    inference(avatar_split_clause,[],[f213,f282,f455,f331,f535]) ).

fof(f213,plain,
    ! [X109,X110] :
      ( hskp2
      | ~ c3_1(X109)
      | c2_1(X109)
      | c1_1(X109)
      | ~ ndr1_0
      | ~ c2_1(X110)
      | c1_1(X110)
      | c0_1(X110) ),
    inference(duplicate_literal_removal,[],[f135]) ).

fof(f135,plain,
    ! [X109,X110] :
      ( hskp2
      | ~ c3_1(X109)
      | c2_1(X109)
      | c1_1(X109)
      | ~ ndr1_0
      | ~ c2_1(X110)
      | c1_1(X110)
      | c0_1(X110)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f538,plain,
    ( spl0_62
    | ~ spl0_20
    | spl0_35
    | spl0_3 ),
    inference(avatar_split_clause,[],[f214,f255,f396,f331,f535]) ).

fof(f214,plain,
    ! [X108,X107] :
      ( hskp1
      | ~ c3_1(X107)
      | ~ c1_1(X107)
      | c2_1(X107)
      | ~ ndr1_0
      | ~ c2_1(X108)
      | c1_1(X108)
      | c0_1(X108) ),
    inference(duplicate_literal_removal,[],[f136]) ).

fof(f136,plain,
    ! [X108,X107] :
      ( hskp1
      | ~ c3_1(X107)
      | ~ c1_1(X107)
      | c2_1(X107)
      | ~ ndr1_0
      | ~ c2_1(X108)
      | c1_1(X108)
      | c0_1(X108)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f537,plain,
    ( ~ spl0_20
    | spl0_62
    | spl0_22
    | spl0_25 ),
    inference(avatar_split_clause,[],[f137,f351,f338,f535,f331]) ).

fof(f137,plain,
    ! [X106] :
      ( hskp0
      | hskp3
      | ~ c2_1(X106)
      | c1_1(X106)
      | c0_1(X106)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f533,plain,
    ( spl0_60
    | spl0_55
    | ~ spl0_20
    | spl0_61 ),
    inference(avatar_split_clause,[],[f215,f531,f331,f495,f527]) ).

fof(f215,plain,
    ! [X104,X105,X103] :
      ( ~ c0_1(X103)
      | c2_1(X103)
      | c1_1(X103)
      | ~ ndr1_0
      | ~ c3_1(X104)
      | c2_1(X104)
      | c0_1(X104)
      | ~ c3_1(X105)
      | c1_1(X105)
      | c0_1(X105) ),
    inference(duplicate_literal_removal,[],[f138]) ).

fof(f138,plain,
    ! [X104,X105,X103] :
      ( ~ c0_1(X103)
      | c2_1(X103)
      | c1_1(X103)
      | ~ ndr1_0
      | ~ c3_1(X104)
      | c2_1(X104)
      | c0_1(X104)
      | ~ ndr1_0
      | ~ c3_1(X105)
      | c1_1(X105)
      | c0_1(X105)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f529,plain,
    ( spl0_60
    | ~ spl0_20
    | spl0_23
    | spl0_4 ),
    inference(avatar_split_clause,[],[f216,f260,f343,f331,f527]) ).

fof(f216,plain,
    ! [X101,X102] :
      ( hskp4
      | ~ c3_1(X101)
      | ~ c1_1(X101)
      | ~ c0_1(X101)
      | ~ ndr1_0
      | ~ c3_1(X102)
      | c1_1(X102)
      | c0_1(X102) ),
    inference(duplicate_literal_removal,[],[f139]) ).

fof(f139,plain,
    ! [X101,X102] :
      ( hskp4
      | ~ c3_1(X101)
      | ~ c1_1(X101)
      | ~ c0_1(X101)
      | ~ ndr1_0
      | ~ c3_1(X102)
      | c1_1(X102)
      | c0_1(X102)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f524,plain,
    ( spl0_59
    | spl0_48
    | ~ spl0_20
    | spl0_57 ),
    inference(avatar_split_clause,[],[f218,f507,f331,f463,f517]) ).

fof(f218,plain,
    ! [X98,X96,X97] :
      ( ~ c3_1(X96)
      | ~ c2_1(X96)
      | c1_1(X96)
      | ~ ndr1_0
      | c3_1(X97)
      | c2_1(X97)
      | c1_1(X97)
      | c3_1(X98)
      | c2_1(X98)
      | c0_1(X98) ),
    inference(duplicate_literal_removal,[],[f141]) ).

fof(f141,plain,
    ! [X98,X96,X97] :
      ( ~ c3_1(X96)
      | ~ c2_1(X96)
      | c1_1(X96)
      | ~ ndr1_0
      | c3_1(X97)
      | c2_1(X97)
      | c1_1(X97)
      | ~ ndr1_0
      | c3_1(X98)
      | c2_1(X98)
      | c0_1(X98)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f523,plain,
    ( spl0_59
    | ~ spl0_20
    | spl0_45
    | spl0_6 ),
    inference(avatar_split_clause,[],[f219,f269,f447,f331,f517]) ).

fof(f219,plain,
    ! [X94,X95] :
      ( hskp5
      | ~ c2_1(X94)
      | c3_1(X94)
      | c1_1(X94)
      | ~ ndr1_0
      | c3_1(X95)
      | c2_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)
      | c2_1(X95)
      | c0_1(X95)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f522,plain,
    ( spl0_59
    | spl0_44
    | ~ spl0_20
    | spl0_31 ),
    inference(avatar_split_clause,[],[f220,f379,f331,f441,f517]) ).

fof(f220,plain,
    ! [X91,X92,X93] :
      ( ~ c2_1(X91)
      | ~ c1_1(X91)
      | c3_1(X91)
      | ~ ndr1_0
      | ~ c2_1(X92)
      | ~ c0_1(X92)
      | c1_1(X92)
      | c3_1(X93)
      | c2_1(X93)
      | c0_1(X93) ),
    inference(duplicate_literal_removal,[],[f143]) ).

fof(f143,plain,
    ! [X91,X92,X93] :
      ( ~ c2_1(X91)
      | ~ c1_1(X91)
      | c3_1(X91)
      | ~ ndr1_0
      | ~ c2_1(X92)
      | ~ c0_1(X92)
      | c1_1(X92)
      | ~ ndr1_0
      | c3_1(X93)
      | c2_1(X93)
      | c0_1(X93)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f521,plain,
    ( spl0_59
    | ~ spl0_20
    | spl0_37
    | spl0_15 ),
    inference(avatar_split_clause,[],[f221,f309,f405,f331,f517]) ).

fof(f221,plain,
    ! [X90,X89] :
      ( hskp27
      | ~ c1_1(X89)
      | ~ c0_1(X89)
      | c2_1(X89)
      | ~ ndr1_0
      | c3_1(X90)
      | c2_1(X90)
      | c0_1(X90) ),
    inference(duplicate_literal_removal,[],[f144]) ).

fof(f144,plain,
    ! [X90,X89] :
      ( hskp27
      | ~ c1_1(X89)
      | ~ c0_1(X89)
      | c2_1(X89)
      | ~ ndr1_0
      | c3_1(X90)
      | c2_1(X90)
      | c0_1(X90)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f515,plain,
    ( spl0_58
    | spl0_57
    | ~ spl0_20
    | spl0_38 ),
    inference(avatar_split_clause,[],[f223,f413,f331,f507,f511]) ).

fof(f223,plain,
    ! [X83,X84,X85] :
      ( ~ c0_1(X83)
      | c3_1(X83)
      | c2_1(X83)
      | ~ ndr1_0
      | ~ c3_1(X84)
      | ~ c2_1(X84)
      | c1_1(X84)
      | ~ c1_1(X85)
      | c2_1(X85)
      | c0_1(X85) ),
    inference(duplicate_literal_removal,[],[f147]) ).

fof(f147,plain,
    ! [X83,X84,X85] :
      ( ~ c0_1(X83)
      | c3_1(X83)
      | c2_1(X83)
      | ~ ndr1_0
      | ~ c3_1(X84)
      | ~ c2_1(X84)
      | c1_1(X84)
      | ~ ndr1_0
      | ~ c1_1(X85)
      | c2_1(X85)
      | c0_1(X85)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f514,plain,
    ( spl0_58
    | ~ spl0_20
    | spl0_27
    | spl0_10 ),
    inference(avatar_split_clause,[],[f224,f287,f363,f331,f511]) ).

fof(f224,plain,
    ! [X82,X81] :
      ( hskp9
      | ~ c2_1(X81)
      | ~ c1_1(X81)
      | ~ c0_1(X81)
      | ~ ndr1_0
      | ~ c1_1(X82)
      | c2_1(X82)
      | c0_1(X82) ),
    inference(duplicate_literal_removal,[],[f148]) ).

fof(f148,plain,
    ! [X82,X81] :
      ( hskp9
      | ~ c2_1(X81)
      | ~ c1_1(X81)
      | ~ c0_1(X81)
      | ~ ndr1_0
      | ~ c1_1(X82)
      | c2_1(X82)
      | c0_1(X82)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f509,plain,
    ( spl0_55
    | ~ spl0_20
    | spl0_57
    | spl0_34 ),
    inference(avatar_split_clause,[],[f226,f390,f507,f331,f495]) ).

fof(f226,plain,
    ! [X78,X77] :
      ( hskp10
      | ~ c3_1(X77)
      | ~ c2_1(X77)
      | c1_1(X77)
      | ~ ndr1_0
      | ~ c3_1(X78)
      | c2_1(X78)
      | c0_1(X78) ),
    inference(duplicate_literal_removal,[],[f150]) ).

fof(f150,plain,
    ! [X78,X77] :
      ( hskp10
      | ~ c3_1(X77)
      | ~ c2_1(X77)
      | c1_1(X77)
      | ~ ndr1_0
      | ~ c3_1(X78)
      | c2_1(X78)
      | c0_1(X78)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f505,plain,
    ( spl0_55
    | spl0_56
    | ~ spl0_20
    | spl0_31 ),
    inference(avatar_split_clause,[],[f227,f379,f331,f503,f495]) ).

fof(f227,plain,
    ! [X76,X74,X75] :
      ( ~ c2_1(X74)
      | ~ c1_1(X74)
      | c3_1(X74)
      | ~ ndr1_0
      | ~ c1_1(X75)
      | c3_1(X75)
      | c2_1(X75)
      | ~ c3_1(X76)
      | c2_1(X76)
      | c0_1(X76) ),
    inference(duplicate_literal_removal,[],[f151]) ).

fof(f151,plain,
    ! [X76,X74,X75] :
      ( ~ c2_1(X74)
      | ~ c1_1(X74)
      | c3_1(X74)
      | ~ ndr1_0
      | ~ c1_1(X75)
      | c3_1(X75)
      | c2_1(X75)
      | ~ ndr1_0
      | ~ c3_1(X76)
      | c2_1(X76)
      | c0_1(X76)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f500,plain,
    ( spl0_55
    | ~ spl0_20
    | spl0_33
    | spl0_39 ),
    inference(avatar_split_clause,[],[f229,f416,f387,f331,f495]) ).

fof(f229,plain,
    ! [X70,X71] :
      ( hskp12
      | ~ c1_1(X70)
      | ~ c0_1(X70)
      | c3_1(X70)
      | ~ ndr1_0
      | ~ c3_1(X71)
      | c2_1(X71)
      | c0_1(X71) ),
    inference(duplicate_literal_removal,[],[f153]) ).

fof(f153,plain,
    ! [X70,X71] :
      ( hskp12
      | ~ c1_1(X70)
      | ~ c0_1(X70)
      | c3_1(X70)
      | ~ ndr1_0
      | ~ c3_1(X71)
      | c2_1(X71)
      | c0_1(X71)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f498,plain,
    ( ~ spl0_20
    | spl0_55
    | spl0_6
    | spl0_43 ),
    inference(avatar_split_clause,[],[f155,f434,f269,f495,f331]) ).

fof(f155,plain,
    ! [X68] :
      ( hskp15
      | hskp5
      | ~ c3_1(X68)
      | c2_1(X68)
      | c0_1(X68)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f493,plain,
    ( ~ spl0_20
    | spl0_54
    | spl0_8
    | spl0_11 ),
    inference(avatar_split_clause,[],[f157,f291,f278,f491,f331]) ).

fof(f157,plain,
    ! [X66] :
      ( hskp17
      | hskp16
      | ~ c1_1(X66)
      | c3_1(X66)
      | c0_1(X66)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f489,plain,
    ( spl0_53
    | spl0_48
    | ~ spl0_20
    | spl0_46 ),
    inference(avatar_split_clause,[],[f230,f451,f331,f463,f484]) ).

fof(f230,plain,
    ! [X65,X63,X64] :
      ( ~ c0_1(X63)
      | c3_1(X63)
      | c1_1(X63)
      | ~ ndr1_0
      | c3_1(X64)
      | c2_1(X64)
      | c1_1(X64)
      | ~ c2_1(X65)
      | c3_1(X65)
      | c0_1(X65) ),
    inference(duplicate_literal_removal,[],[f158]) ).

fof(f158,plain,
    ! [X65,X63,X64] :
      ( ~ c0_1(X63)
      | c3_1(X63)
      | c1_1(X63)
      | ~ ndr1_0
      | c3_1(X64)
      | c2_1(X64)
      | c1_1(X64)
      | ~ ndr1_0
      | ~ c2_1(X65)
      | c3_1(X65)
      | c0_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f487,plain,
    ( ~ spl0_20
    | spl0_53
    | spl0_22
    | spl0_41 ),
    inference(avatar_split_clause,[],[f160,f425,f338,f484,f331]) ).

fof(f160,plain,
    ! [X60] :
      ( hskp18
      | hskp3
      | ~ c2_1(X60)
      | c3_1(X60)
      | c0_1(X60)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f482,plain,
    ( spl0_52
    | ~ spl0_20
    | spl0_48
    | spl0_10 ),
    inference(avatar_split_clause,[],[f232,f287,f463,f331,f480]) ).

fof(f232,plain,
    ! [X58,X57] :
      ( hskp9
      | c3_1(X57)
      | c2_1(X57)
      | c1_1(X57)
      | ~ ndr1_0
      | ~ c2_1(X58)
      | ~ c1_1(X58)
      | c0_1(X58) ),
    inference(duplicate_literal_removal,[],[f162]) ).

fof(f162,plain,
    ! [X58,X57] :
      ( hskp9
      | c3_1(X57)
      | c2_1(X57)
      | c1_1(X57)
      | ~ ndr1_0
      | ~ c2_1(X58)
      | ~ c1_1(X58)
      | c0_1(X58)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f478,plain,
    ( ~ spl0_20
    | spl0_51
    | spl0_17
    | spl0_5 ),
    inference(avatar_split_clause,[],[f163,f264,f318,f476,f331]) ).

fof(f163,plain,
    ! [X56] :
      ( hskp19
      | hskp29
      | ~ c3_1(X56)
      | ~ c1_1(X56)
      | c0_1(X56)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f474,plain,
    ( spl0_49
    | ~ spl0_20
    | spl0_31
    | spl0_2 ),
    inference(avatar_split_clause,[],[f233,f251,f379,f331,f467]) ).

fof(f233,plain,
    ! [X54,X55] :
      ( hskp20
      | ~ c2_1(X54)
      | ~ c1_1(X54)
      | c3_1(X54)
      | ~ ndr1_0
      | ~ c3_1(X55)
      | ~ c2_1(X55)
      | c0_1(X55) ),
    inference(duplicate_literal_removal,[],[f164]) ).

fof(f164,plain,
    ! [X54,X55] :
      ( hskp20
      | ~ c2_1(X54)
      | ~ c1_1(X54)
      | c3_1(X54)
      | ~ ndr1_0
      | ~ c3_1(X55)
      | ~ c2_1(X55)
      | c0_1(X55)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f473,plain,
    ( spl0_49
    | spl0_50
    | ~ spl0_20
    | spl0_21 ),
    inference(avatar_split_clause,[],[f234,f335,f331,f471,f467]) ).

fof(f234,plain,
    ! [X51,X52,X53] :
      ( ~ c3_1(X51)
      | ~ c2_1(X51)
      | ~ c1_1(X51)
      | ~ ndr1_0
      | ~ c3_1(X52)
      | ~ c2_1(X52)
      | ~ c0_1(X52)
      | ~ c3_1(X53)
      | ~ c2_1(X53)
      | c0_1(X53) ),
    inference(duplicate_literal_removal,[],[f165]) ).

fof(f165,plain,
    ! [X51,X52,X53] :
      ( ~ c3_1(X51)
      | ~ c2_1(X51)
      | ~ c1_1(X51)
      | ~ ndr1_0
      | ~ c3_1(X52)
      | ~ c2_1(X52)
      | ~ c0_1(X52)
      | ~ ndr1_0
      | ~ c3_1(X53)
      | ~ c2_1(X53)
      | c0_1(X53)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f469,plain,
    ( ~ spl0_20
    | spl0_49
    | spl0_12
    | spl0_11 ),
    inference(avatar_split_clause,[],[f166,f291,f296,f467,f331]) ).

fof(f166,plain,
    ! [X50] :
      ( hskp17
      | hskp21
      | ~ c3_1(X50)
      | ~ c2_1(X50)
      | c0_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f465,plain,
    ( ~ spl0_20
    | spl0_48
    | spl0_12
    | spl0_2 ),
    inference(avatar_split_clause,[],[f167,f251,f296,f463,f331]) ).

fof(f167,plain,
    ! [X49] :
      ( hskp20
      | hskp21
      | c3_1(X49)
      | c2_1(X49)
      | c1_1(X49)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f461,plain,
    ( spl0_47
    | spl0_36
    | ~ spl0_20
    | spl0_31 ),
    inference(avatar_split_clause,[],[f235,f379,f331,f401,f455]) ).

fof(f235,plain,
    ! [X48,X46,X47] :
      ( ~ c2_1(X46)
      | ~ c1_1(X46)
      | c3_1(X46)
      | ~ ndr1_0
      | ~ c3_1(X47)
      | ~ c0_1(X47)
      | c2_1(X47)
      | ~ c3_1(X48)
      | c2_1(X48)
      | c1_1(X48) ),
    inference(duplicate_literal_removal,[],[f168]) ).

fof(f168,plain,
    ! [X48,X46,X47] :
      ( ~ c2_1(X46)
      | ~ c1_1(X46)
      | c3_1(X46)
      | ~ ndr1_0
      | ~ c3_1(X47)
      | ~ c0_1(X47)
      | c2_1(X47)
      | ~ ndr1_0
      | ~ c3_1(X48)
      | c2_1(X48)
      | c1_1(X48)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f460,plain,
    ( spl0_47
    | spl0_35
    | ~ spl0_20
    | spl0_23 ),
    inference(avatar_split_clause,[],[f236,f343,f331,f396,f455]) ).

fof(f236,plain,
    ! [X44,X45,X43] :
      ( ~ c3_1(X43)
      | ~ c1_1(X43)
      | ~ c0_1(X43)
      | ~ ndr1_0
      | ~ c3_1(X44)
      | ~ c1_1(X44)
      | c2_1(X44)
      | ~ c3_1(X45)
      | c2_1(X45)
      | c1_1(X45) ),
    inference(duplicate_literal_removal,[],[f169]) ).

fof(f169,plain,
    ! [X44,X45,X43] :
      ( ~ c3_1(X43)
      | ~ c1_1(X43)
      | ~ c0_1(X43)
      | ~ ndr1_0
      | ~ c3_1(X44)
      | ~ c1_1(X44)
      | c2_1(X44)
      | ~ ndr1_0
      | ~ c3_1(X45)
      | c2_1(X45)
      | c1_1(X45)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f439,plain,
    ( spl0_40
    | ~ spl0_20
    | spl0_30
    | spl0_2 ),
    inference(avatar_split_clause,[],[f239,f251,f376,f331,f422]) ).

fof(f239,plain,
    ! [X31,X32] :
      ( hskp20
      | ~ c2_1(X31)
      | ~ c0_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | ~ c3_1(X32)
      | ~ c0_1(X32)
      | c1_1(X32) ),
    inference(duplicate_literal_removal,[],[f178]) ).

fof(f178,plain,
    ! [X31,X32] :
      ( hskp20
      | ~ c2_1(X31)
      | ~ c0_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | ~ c3_1(X32)
      | ~ c0_1(X32)
      | c1_1(X32)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f438,plain,
    ( ~ spl0_20
    | spl0_40
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f179,f304,f300,f422,f331]) ).

fof(f179,plain,
    ! [X30] :
      ( hskp24
      | hskp13
      | ~ c3_1(X30)
      | ~ c0_1(X30)
      | c1_1(X30)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f437,plain,
    ( ~ spl0_20
    | spl0_40
    | spl0_4
    | spl0_43 ),
    inference(avatar_split_clause,[],[f180,f434,f260,f422,f331]) ).

fof(f180,plain,
    ! [X29] :
      ( hskp15
      | hskp4
      | ~ c3_1(X29)
      | ~ c0_1(X29)
      | c1_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f420,plain,
    ( ~ spl0_20
    | spl0_38
    | spl0_12
    | spl0_4 ),
    inference(avatar_split_clause,[],[f182,f260,f296,f413,f331]) ).

fof(f182,plain,
    ! [X27] :
      ( hskp4
      | hskp21
      | ~ c0_1(X27)
      | c3_1(X27)
      | c2_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f411,plain,
    ( spl0_37
    | spl0_36
    | ~ spl0_20
    | spl0_33 ),
    inference(avatar_split_clause,[],[f240,f387,f331,f401,f405]) ).

fof(f240,plain,
    ! [X24,X25,X23] :
      ( ~ c1_1(X23)
      | ~ c0_1(X23)
      | c3_1(X23)
      | ~ ndr1_0
      | ~ c3_1(X24)
      | ~ c0_1(X24)
      | c2_1(X24)
      | ~ c1_1(X25)
      | ~ c0_1(X25)
      | c2_1(X25) ),
    inference(duplicate_literal_removal,[],[f184]) ).

fof(f184,plain,
    ! [X24,X25,X23] :
      ( ~ c1_1(X23)
      | ~ c0_1(X23)
      | c3_1(X23)
      | ~ ndr1_0
      | ~ c3_1(X24)
      | ~ c0_1(X24)
      | c2_1(X24)
      | ~ ndr1_0
      | ~ c1_1(X25)
      | ~ c0_1(X25)
      | c2_1(X25)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f410,plain,
    ( ~ spl0_20
    | spl0_37
    | spl0_8
    | spl0_19 ),
    inference(avatar_split_clause,[],[f185,f326,f278,f405,f331]) ).

fof(f185,plain,
    ! [X22] :
      ( hskp14
      | hskp16
      | ~ c1_1(X22)
      | ~ c0_1(X22)
      | c2_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f409,plain,
    ( ~ spl0_20
    | spl0_37
    | spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f186,f273,f269,f405,f331]) ).

fof(f186,plain,
    ! [X21] :
      ( hskp25
      | hskp5
      | ~ c1_1(X21)
      | ~ c0_1(X21)
      | c2_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f403,plain,
    ( ~ spl0_20
    | spl0_36
    | spl0_17
    | spl0_10 ),
    inference(avatar_split_clause,[],[f189,f287,f318,f401,f331]) ).

fof(f189,plain,
    ! [X18] :
      ( hskp9
      | hskp29
      | ~ c3_1(X18)
      | ~ c0_1(X18)
      | c2_1(X18)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f399,plain,
    ( spl0_35
    | ~ spl0_20
    | spl0_31
    | spl0_10 ),
    inference(avatar_split_clause,[],[f241,f287,f379,f331,f396]) ).

fof(f241,plain,
    ! [X16,X17] :
      ( hskp9
      | ~ c2_1(X16)
      | ~ c1_1(X16)
      | c3_1(X16)
      | ~ ndr1_0
      | ~ c3_1(X17)
      | ~ c1_1(X17)
      | c2_1(X17) ),
    inference(duplicate_literal_removal,[],[f190]) ).

fof(f190,plain,
    ! [X16,X17] :
      ( hskp9
      | ~ c2_1(X16)
      | ~ c1_1(X16)
      | c3_1(X16)
      | ~ ndr1_0
      | ~ c3_1(X17)
      | ~ c1_1(X17)
      | c2_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f398,plain,
    ( ~ spl0_20
    | spl0_35
    | spl0_1
    | spl0_25 ),
    inference(avatar_split_clause,[],[f191,f351,f247,f396,f331]) ).

fof(f191,plain,
    ! [X15] :
      ( hskp0
      | hskp28
      | ~ c3_1(X15)
      | ~ c1_1(X15)
      | c2_1(X15)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f394,plain,
    ( spl0_33
    | ~ spl0_20
    | spl0_23
    | spl0_16 ),
    inference(avatar_split_clause,[],[f242,f313,f343,f331,f387]) ).

fof(f242,plain,
    ! [X14,X13] :
      ( hskp8
      | ~ c3_1(X13)
      | ~ c1_1(X13)
      | ~ c0_1(X13)
      | ~ ndr1_0
      | ~ c1_1(X14)
      | ~ c0_1(X14)
      | c3_1(X14) ),
    inference(duplicate_literal_removal,[],[f192]) ).

fof(f192,plain,
    ! [X14,X13] :
      ( hskp8
      | ~ c3_1(X13)
      | ~ c1_1(X13)
      | ~ c0_1(X13)
      | ~ ndr1_0
      | ~ c1_1(X14)
      | ~ c0_1(X14)
      | c3_1(X14)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f393,plain,
    ( ~ spl0_20
    | spl0_33
    | spl0_12
    | spl0_34 ),
    inference(avatar_split_clause,[],[f193,f390,f296,f387,f331]) ).

fof(f193,plain,
    ! [X12] :
      ( hskp10
      | hskp21
      | ~ c1_1(X12)
      | ~ c0_1(X12)
      | c3_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f385,plain,
    ( spl0_30
    | ~ spl0_20
    | spl0_31
    | spl0_32 ),
    inference(avatar_split_clause,[],[f243,f382,f379,f331,f376]) ).

fof(f243,plain,
    ! [X10,X11] :
      ( hskp6
      | ~ c2_1(X10)
      | ~ c1_1(X10)
      | c3_1(X10)
      | ~ ndr1_0
      | ~ c2_1(X11)
      | ~ c0_1(X11)
      | c3_1(X11) ),
    inference(duplicate_literal_removal,[],[f194]) ).

fof(f194,plain,
    ! [X10,X11] :
      ( hskp6
      | ~ c2_1(X10)
      | ~ c1_1(X10)
      | c3_1(X10)
      | ~ ndr1_0
      | ~ c2_1(X11)
      | ~ c0_1(X11)
      | c3_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f374,plain,
    ( spl0_27
    | ~ spl0_20
    | spl0_23
    | spl0_29 ),
    inference(avatar_split_clause,[],[f244,f371,f343,f331,f363]) ).

fof(f244,plain,
    ! [X8,X9] :
      ( hskp7
      | ~ c3_1(X8)
      | ~ c1_1(X8)
      | ~ c0_1(X8)
      | ~ ndr1_0
      | ~ c2_1(X9)
      | ~ c1_1(X9)
      | ~ c0_1(X9) ),
    inference(duplicate_literal_removal,[],[f195]) ).

fof(f195,plain,
    ! [X8,X9] :
      ( hskp7
      | ~ c3_1(X8)
      | ~ c1_1(X8)
      | ~ c0_1(X8)
      | ~ ndr1_0
      | ~ c2_1(X9)
      | ~ c1_1(X9)
      | ~ c0_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f361,plain,
    ( spl0_23
    | ~ spl0_20
    | spl0_21
    | spl0_7 ),
    inference(avatar_split_clause,[],[f245,f273,f335,f331,f343]) ).

fof(f245,plain,
    ! [X6,X5] :
      ( hskp25
      | ~ c3_1(X5)
      | ~ c2_1(X5)
      | ~ c1_1(X5)
      | ~ ndr1_0
      | ~ c3_1(X6)
      | ~ c1_1(X6)
      | ~ c0_1(X6) ),
    inference(duplicate_literal_removal,[],[f197]) ).

fof(f197,plain,
    ! [X6,X5] :
      ( hskp25
      | ~ c3_1(X5)
      | ~ c2_1(X5)
      | ~ c1_1(X5)
      | ~ ndr1_0
      | ~ c3_1(X6)
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f360,plain,
    ( ~ spl0_20
    | spl0_23
    | spl0_15
    | spl0_8 ),
    inference(avatar_split_clause,[],[f198,f278,f309,f343,f331]) ).

fof(f198,plain,
    ! [X4] :
      ( hskp16
      | hskp27
      | ~ c3_1(X4)
      | ~ c1_1(X4)
      | ~ c0_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f341,plain,
    ( ~ spl0_20
    | spl0_21
    | spl0_22
    | spl0_14 ),
    inference(avatar_split_clause,[],[f202,f304,f338,f335,f331]) ).

fof(f202,plain,
    ! [X0] :
      ( hskp24
      | hskp3
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f329,plain,
    ( spl0_17
    | spl0_18
    | spl0_19 ),
    inference(avatar_split_clause,[],[f203,f326,f322,f318]) ).

fof(f203,plain,
    ( hskp14
    | hskp26
    | hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f294,plain,
    ( spl0_10
    | spl0_9
    | spl0_11 ),
    inference(avatar_split_clause,[],[f206,f291,f282,f287]) ).

fof(f206,plain,
    ( hskp17
    | hskp2
    | hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f285,plain,
    ( spl0_8
    | spl0_4
    | spl0_9 ),
    inference(avatar_split_clause,[],[f207,f282,f260,f278]) ).

fof(f207,plain,
    ( hskp2
    | hskp4
    | hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f276,plain,
    ( spl0_6
    | spl0_7
    | spl0_1 ),
    inference(avatar_split_clause,[],[f208,f247,f273,f269]) ).

fof(f208,plain,
    ( hskp28
    | hskp25
    | hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f258,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f210,f255,f251,f247]) ).

fof(f210,plain,
    ( hskp1
    | hskp20
    | hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SYN498+1 : TPTP v8.1.2. Released v2.1.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n008.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 01:55:27 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (3261)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (3267)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38  % (3266)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38  % (3262)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  % (3264)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)
% 0.15/0.38  % (3265)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38  % (3263)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (3268)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)
% 0.15/0.39  Detected minimum model sizes of [1]
% 0.15/0.39  Detected maximum model sizes of [31]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  Detected minimum model sizes of [1]
% 0.15/0.39  Detected maximum model sizes of [31]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  Detected minimum model sizes of [1]
% 0.15/0.39  Detected maximum model sizes of [31]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  Detected minimum model sizes of [1]
% 0.15/0.39  Detected maximum model sizes of [31]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [3]
% 0.15/0.40  TRYING [2]
% 0.15/0.40  TRYING [4]
% 0.15/0.40  TRYING [4]
% 0.15/0.40  TRYING [3]
% 0.15/0.40  TRYING [4]
% 0.15/0.40  TRYING [4]
% 0.15/0.41  TRYING [5]
% 0.15/0.42  TRYING [5]
% 0.15/0.42  TRYING [5]
% 0.22/0.42  TRYING [5]
% 0.22/0.43  % (3267)First to succeed.
% 0.22/0.45  % (3267)Refutation found. Thanks to Tanya!
% 0.22/0.45  % SZS status Theorem for theBenchmark
% 0.22/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.45  % (3267)------------------------------
% 0.22/0.45  % (3267)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.45  % (3267)Termination reason: Refutation
% 0.22/0.45  
% 0.22/0.45  % (3267)Memory used [KB]: 2154
% 0.22/0.45  % (3267)Time elapsed: 0.065 s
% 0.22/0.45  % (3267)Instructions burned: 114 (million)
% 0.22/0.45  % (3267)------------------------------
% 0.22/0.45  % (3267)------------------------------
% 0.22/0.45  % (3261)Success in time 0.091 s
%------------------------------------------------------------------------------