TSTP Solution File: SYN507+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN507+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 : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 12:11:10 EDT 2024

% Result   : Theorem 0.21s 0.44s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  159
% Syntax   : Number of formulae    :  903 (   1 unt;   0 def)
%            Number of atoms       : 7645 (   0 equ)
%            Maximal formula atoms :  740 (   8 avg)
%            Number of connectives : 10230 (3488   ~;4922   |;1194   &)
%                                         ( 158 <=>; 468  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  116 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  194 ( 193 usr; 190 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   :  944 ( 944   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3378,plain,
    $false,
    inference(avatar_sat_refutation,[],[f281,f290,f306,f310,f322,f327,f340,f344,f345,f350,f358,f363,f367,f368,f387,f391,f396,f409,f418,f419,f427,f428,f432,f433,f437,f441,f442,f446,f450,f451,f452,f453,f460,f464,f465,f469,f471,f472,f480,f481,f482,f486,f487,f491,f495,f496,f497,f502,f503,f508,f510,f511,f513,f517,f518,f520,f528,f529,f530,f535,f546,f551,f556,f562,f567,f572,f578,f583,f588,f594,f599,f604,f605,f610,f615,f620,f642,f647,f652,f658,f663,f668,f674,f679,f684,f690,f695,f700,f706,f711,f716,f722,f727,f732,f738,f743,f748,f754,f759,f764,f770,f775,f780,f786,f791,f796,f802,f812,f818,f823,f828,f829,f834,f839,f844,f850,f855,f860,f866,f871,f876,f882,f887,f892,f893,f898,f903,f908,f914,f919,f924,f930,f935,f940,f946,f951,f956,f962,f967,f972,f978,f988,f994,f999,f1004,f1010,f1015,f1020,f1027,f1031,f1038,f1052,f1120,f1132,f1147,f1160,f1172,f1188,f1210,f1221,f1234,f1241,f1246,f1271,f1326,f1373,f1388,f1414,f1416,f1443,f1470,f1526,f1565,f1567,f1672,f1827,f1863,f1866,f1878,f1943,f1949,f1978,f1981,f2003,f2026,f2077,f2080,f2155,f2156,f2169,f2187,f2194,f2245,f2255,f2303,f2316,f2321,f2374,f2413,f2438,f2442,f2457,f2477,f2533,f2554,f2711,f2713,f2763,f2789,f2792,f2795,f2798,f2807,f2812,f2842,f2861,f2883,f2920,f2942,f2996,f2999,f3001,f3003,f3011,f3071,f3073,f3119,f3165,f3170,f3192,f3194,f3284,f3303,f3319,f3375]) ).

fof(f3375,plain,
    ( ~ spl0_47
    | spl0_92
    | spl0_93
    | ~ spl0_168 ),
    inference(avatar_contradiction_clause,[],[f3374]) ).

fof(f3374,plain,
    ( $false
    | ~ spl0_47
    | spl0_92
    | spl0_93
    | ~ spl0_168 ),
    inference(subsumption_resolution,[],[f3373,f694]) ).

fof(f694,plain,
    ( ~ c2_1(a623)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f692]) ).

fof(f692,plain,
    ( spl0_92
  <=> c2_1(a623) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f3373,plain,
    ( c2_1(a623)
    | ~ spl0_47
    | spl0_93
    | ~ spl0_168 ),
    inference(subsumption_resolution,[],[f3363,f699]) ).

fof(f699,plain,
    ( ~ c1_1(a623)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f697,plain,
    ( spl0_93
  <=> c1_1(a623) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f3363,plain,
    ( c1_1(a623)
    | c2_1(a623)
    | ~ spl0_47
    | ~ spl0_168 ),
    inference(resolution,[],[f449,f2132]) ).

fof(f2132,plain,
    ( c0_1(a623)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f2130]) ).

fof(f2130,plain,
    ( spl0_168
  <=> c0_1(a623) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f449,plain,
    ( ! [X43] :
        ( ~ c0_1(X43)
        | c1_1(X43)
        | c2_1(X43) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f448,plain,
    ( spl0_47
  <=> ! [X43] :
        ( ~ c0_1(X43)
        | c1_1(X43)
        | c2_1(X43) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f3319,plain,
    ( spl0_165
    | ~ spl0_26
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f3318,f601,f596,f352,f1946]) ).

fof(f1946,plain,
    ( spl0_165
  <=> c3_1(a583) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f352,plain,
    ( spl0_26
  <=> ! [X11] :
        ( ~ c1_1(X11)
        | c3_1(X11)
        | ~ c0_1(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f596,plain,
    ( spl0_74
  <=> c1_1(a583) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f601,plain,
    ( spl0_75
  <=> c0_1(a583) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f3318,plain,
    ( c3_1(a583)
    | ~ spl0_26
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(subsumption_resolution,[],[f3314,f603]) ).

fof(f603,plain,
    ( c0_1(a583)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f3314,plain,
    ( c3_1(a583)
    | ~ c0_1(a583)
    | ~ spl0_26
    | ~ spl0_74 ),
    inference(resolution,[],[f353,f598]) ).

fof(f598,plain,
    ( c1_1(a583)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f353,plain,
    ( ! [X11] :
        ( ~ c1_1(X11)
        | c3_1(X11)
        | ~ c0_1(X11) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f3303,plain,
    ( spl0_165
    | ~ spl0_21
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f3302,f596,f591,f329,f1946]) ).

fof(f329,plain,
    ( spl0_21
  <=> ! [X6] :
        ( ~ c2_1(X6)
        | c3_1(X6)
        | ~ c1_1(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f591,plain,
    ( spl0_73
  <=> c2_1(a583) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f3302,plain,
    ( c3_1(a583)
    | ~ spl0_21
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(subsumption_resolution,[],[f3297,f593]) ).

fof(f593,plain,
    ( c2_1(a583)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f3297,plain,
    ( c3_1(a583)
    | ~ c2_1(a583)
    | ~ spl0_21
    | ~ spl0_74 ),
    inference(resolution,[],[f330,f598]) ).

fof(f330,plain,
    ( ! [X6] :
        ( ~ c1_1(X6)
        | c3_1(X6)
        | ~ c2_1(X6) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f3284,plain,
    ( ~ spl0_13
    | ~ spl0_41
    | ~ spl0_56
    | spl0_83
    | ~ spl0_84 ),
    inference(avatar_contradiction_clause,[],[f3283]) ).

fof(f3283,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_41
    | ~ spl0_56
    | spl0_83
    | ~ spl0_84 ),
    inference(subsumption_resolution,[],[f3274,f646]) ).

fof(f646,plain,
    ( ~ c0_1(a636)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f644,plain,
    ( spl0_83
  <=> c0_1(a636) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f3274,plain,
    ( c0_1(a636)
    | ~ spl0_13
    | ~ spl0_41
    | ~ spl0_56
    | ~ spl0_84 ),
    inference(resolution,[],[f3268,f651]) ).

fof(f651,plain,
    ( c3_1(a636)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f649,plain,
    ( spl0_84
  <=> c3_1(a636) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f3268,plain,
    ( ! [X73] :
        ( ~ c3_1(X73)
        | c0_1(X73) )
    | ~ spl0_13
    | ~ spl0_41
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f494,f3196]) ).

fof(f3196,plain,
    ( ! [X29] :
        ( ~ c3_1(X29)
        | ~ c2_1(X29) )
    | ~ spl0_13
    | ~ spl0_41 ),
    inference(subsumption_resolution,[],[f422,f297]) ).

fof(f297,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f296]) ).

fof(f296,plain,
    ( spl0_13
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f422,plain,
    ( ! [X29] :
        ( ~ c3_1(X29)
        | c1_1(X29)
        | ~ c2_1(X29) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f421,plain,
    ( spl0_41
  <=> ! [X29] :
        ( ~ c3_1(X29)
        | c1_1(X29)
        | ~ c2_1(X29) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f494,plain,
    ( ! [X73] :
        ( ~ c3_1(X73)
        | c0_1(X73)
        | c2_1(X73) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f493,plain,
    ( spl0_56
  <=> ! [X73] :
        ( ~ c3_1(X73)
        | c0_1(X73)
        | c2_1(X73) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f3194,plain,
    ( ~ spl0_168
    | ~ spl0_39
    | spl0_91
    | spl0_92 ),
    inference(avatar_split_clause,[],[f3193,f692,f687,f412,f2130]) ).

fof(f412,plain,
    ( spl0_39
  <=> ! [X26] :
        ( ~ c0_1(X26)
        | c2_1(X26)
        | c3_1(X26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f687,plain,
    ( spl0_91
  <=> c3_1(a623) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f3193,plain,
    ( ~ c0_1(a623)
    | ~ spl0_39
    | spl0_91
    | spl0_92 ),
    inference(subsumption_resolution,[],[f3184,f694]) ).

fof(f3184,plain,
    ( c2_1(a623)
    | ~ c0_1(a623)
    | ~ spl0_39
    | spl0_91 ),
    inference(resolution,[],[f413,f689]) ).

fof(f689,plain,
    ( ~ c3_1(a623)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f413,plain,
    ( ! [X26] :
        ( c3_1(X26)
        | c2_1(X26)
        | ~ c0_1(X26) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f3192,plain,
    ( ~ spl0_166
    | ~ spl0_39
    | spl0_103
    | spl0_104 ),
    inference(avatar_split_clause,[],[f3191,f756,f751,f412,f2062]) ).

fof(f2062,plain,
    ( spl0_166
  <=> c0_1(a606) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f751,plain,
    ( spl0_103
  <=> c3_1(a606) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f756,plain,
    ( spl0_104
  <=> c2_1(a606) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f3191,plain,
    ( ~ c0_1(a606)
    | ~ spl0_39
    | spl0_103
    | spl0_104 ),
    inference(subsumption_resolution,[],[f3183,f758]) ).

fof(f758,plain,
    ( ~ c2_1(a606)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f756]) ).

fof(f3183,plain,
    ( c2_1(a606)
    | ~ c0_1(a606)
    | ~ spl0_39
    | spl0_103 ),
    inference(resolution,[],[f413,f753]) ).

fof(f753,plain,
    ( ~ c3_1(a606)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f3170,plain,
    ( ~ spl0_166
    | ~ spl0_34
    | spl0_104
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f3169,f761,f756,f389,f2062]) ).

fof(f389,plain,
    ( spl0_34
  <=> ! [X20] :
        ( ~ c1_1(X20)
        | c2_1(X20)
        | ~ c0_1(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f761,plain,
    ( spl0_105
  <=> c1_1(a606) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f3169,plain,
    ( ~ c0_1(a606)
    | ~ spl0_34
    | spl0_104
    | ~ spl0_105 ),
    inference(subsumption_resolution,[],[f3156,f763]) ).

fof(f763,plain,
    ( c1_1(a606)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f761]) ).

fof(f3156,plain,
    ( ~ c1_1(a606)
    | ~ c0_1(a606)
    | ~ spl0_34
    | spl0_104 ),
    inference(resolution,[],[f390,f758]) ).

fof(f390,plain,
    ( ! [X20] :
        ( c2_1(X20)
        | ~ c1_1(X20)
        | ~ c0_1(X20) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f3165,plain,
    ( ~ spl0_34
    | spl0_136
    | ~ spl0_137
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f3164]) ).

fof(f3164,plain,
    ( $false
    | ~ spl0_34
    | spl0_136
    | ~ spl0_137
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f3163,f939]) ).

fof(f939,plain,
    ( c0_1(a589)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f937]) ).

fof(f937,plain,
    ( spl0_138
  <=> c0_1(a589) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f3163,plain,
    ( ~ c0_1(a589)
    | ~ spl0_34
    | spl0_136
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f3151,f934]) ).

fof(f934,plain,
    ( c1_1(a589)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f932]) ).

fof(f932,plain,
    ( spl0_137
  <=> c1_1(a589) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f3151,plain,
    ( ~ c1_1(a589)
    | ~ c0_1(a589)
    | ~ spl0_34
    | spl0_136 ),
    inference(resolution,[],[f390,f929]) ).

fof(f929,plain,
    ( ~ c2_1(a589)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f927,plain,
    ( spl0_136
  <=> c2_1(a589) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f3119,plain,
    ( spl0_168
    | ~ spl0_55
    | ~ spl0_62
    | spl0_91 ),
    inference(avatar_split_clause,[],[f3107,f687,f532,f489,f2130]) ).

fof(f489,plain,
    ( spl0_55
  <=> ! [X71] :
        ( ~ c1_1(X71)
        | c0_1(X71)
        | c3_1(X71) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f532,plain,
    ( spl0_62
  <=> ! [X108] :
        ( c3_1(X108)
        | c0_1(X108)
        | c1_1(X108) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f3107,plain,
    ( c0_1(a623)
    | ~ spl0_55
    | ~ spl0_62
    | spl0_91 ),
    inference(resolution,[],[f3076,f689]) ).

fof(f3076,plain,
    ( ! [X108] :
        ( c3_1(X108)
        | c0_1(X108) )
    | ~ spl0_55
    | ~ spl0_62 ),
    inference(subsumption_resolution,[],[f533,f490]) ).

fof(f490,plain,
    ( ! [X71] :
        ( ~ c1_1(X71)
        | c0_1(X71)
        | c3_1(X71) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f533,plain,
    ( ! [X108] :
        ( c3_1(X108)
        | c0_1(X108)
        | c1_1(X108) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f3073,plain,
    ( spl0_157
    | ~ spl0_57
    | spl0_127
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f3072,f889,f879,f499,f1231]) ).

fof(f1231,plain,
    ( spl0_157
  <=> c0_1(a593) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f499,plain,
    ( spl0_57
  <=> ! [X78] :
        ( ~ c1_1(X78)
        | c0_1(X78)
        | c2_1(X78) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f879,plain,
    ( spl0_127
  <=> c2_1(a593) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f889,plain,
    ( spl0_129
  <=> c1_1(a593) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f3072,plain,
    ( c0_1(a593)
    | ~ spl0_57
    | spl0_127
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f2906,f891]) ).

fof(f891,plain,
    ( c1_1(a593)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f889]) ).

fof(f2906,plain,
    ( c0_1(a593)
    | ~ c1_1(a593)
    | ~ spl0_57
    | spl0_127 ),
    inference(resolution,[],[f500,f881]) ).

fof(f881,plain,
    ( ~ c2_1(a593)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f500,plain,
    ( ! [X78] :
        ( c2_1(X78)
        | c0_1(X78)
        | ~ c1_1(X78) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f3071,plain,
    ( ~ spl0_147
    | ~ spl0_26
    | ~ spl0_55
    | spl0_145 ),
    inference(avatar_split_clause,[],[f3044,f975,f489,f352,f985]) ).

fof(f985,plain,
    ( spl0_147
  <=> c1_1(a586) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f975,plain,
    ( spl0_145
  <=> c3_1(a586) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f3044,plain,
    ( ~ c1_1(a586)
    | ~ spl0_26
    | ~ spl0_55
    | spl0_145 ),
    inference(resolution,[],[f3006,f977]) ).

fof(f977,plain,
    ( ~ c3_1(a586)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f975]) ).

fof(f3006,plain,
    ( ! [X11] :
        ( c3_1(X11)
        | ~ c1_1(X11) )
    | ~ spl0_26
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f353,f490]) ).

fof(f3011,plain,
    ( spl0_103
    | spl0_166
    | ~ spl0_55
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2892,f761,f489,f2062,f751]) ).

fof(f2892,plain,
    ( c0_1(a606)
    | c3_1(a606)
    | ~ spl0_55
    | ~ spl0_105 ),
    inference(resolution,[],[f490,f763]) ).

fof(f3003,plain,
    ( spl0_104
    | spl0_166
    | ~ spl0_58
    | spl0_103 ),
    inference(avatar_split_clause,[],[f2863,f751,f505,f2062,f756]) ).

fof(f505,plain,
    ( spl0_58
  <=> ! [X83] :
        ( c3_1(X83)
        | c0_1(X83)
        | c2_1(X83) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f2863,plain,
    ( c0_1(a606)
    | c2_1(a606)
    | ~ spl0_58
    | spl0_103 ),
    inference(resolution,[],[f753,f506]) ).

fof(f506,plain,
    ( ! [X83] :
        ( c3_1(X83)
        | c0_1(X83)
        | c2_1(X83) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f3001,plain,
    ( spl0_131
    | ~ spl0_55
    | ~ spl0_62
    | spl0_130 ),
    inference(avatar_split_clause,[],[f2976,f895,f532,f489,f900]) ).

fof(f900,plain,
    ( spl0_131
  <=> c0_1(a592) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f895,plain,
    ( spl0_130
  <=> c3_1(a592) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f2976,plain,
    ( c0_1(a592)
    | ~ spl0_55
    | ~ spl0_62
    | spl0_130 ),
    inference(resolution,[],[f2972,f897]) ).

fof(f897,plain,
    ( ~ c3_1(a592)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f895]) ).

fof(f2972,plain,
    ( ! [X108] :
        ( c3_1(X108)
        | c0_1(X108) )
    | ~ spl0_55
    | ~ spl0_62 ),
    inference(subsumption_resolution,[],[f533,f490]) ).

fof(f2999,plain,
    ( spl0_98
    | ~ spl0_45
    | ~ spl0_57
    | spl0_97
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f2998,f729,f719,f499,f439,f724]) ).

fof(f724,plain,
    ( spl0_98
  <=> c0_1(a610) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f439,plain,
    ( spl0_45
  <=> ! [X37] :
        ( ~ c3_1(X37)
        | c1_1(X37)
        | c2_1(X37) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f719,plain,
    ( spl0_97
  <=> c2_1(a610) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f729,plain,
    ( spl0_99
  <=> c3_1(a610) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f2998,plain,
    ( c0_1(a610)
    | ~ spl0_45
    | ~ spl0_57
    | spl0_97
    | ~ spl0_99 ),
    inference(subsumption_resolution,[],[f2910,f2882]) ).

fof(f2882,plain,
    ( c1_1(a610)
    | ~ spl0_45
    | spl0_97
    | ~ spl0_99 ),
    inference(subsumption_resolution,[],[f2872,f721]) ).

fof(f721,plain,
    ( ~ c2_1(a610)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f2872,plain,
    ( c1_1(a610)
    | c2_1(a610)
    | ~ spl0_45
    | ~ spl0_99 ),
    inference(resolution,[],[f440,f731]) ).

fof(f731,plain,
    ( c3_1(a610)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f729]) ).

fof(f440,plain,
    ( ! [X37] :
        ( ~ c3_1(X37)
        | c1_1(X37)
        | c2_1(X37) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f2910,plain,
    ( c0_1(a610)
    | ~ c1_1(a610)
    | ~ spl0_57
    | spl0_97 ),
    inference(resolution,[],[f500,f721]) ).

fof(f2996,plain,
    ( spl0_82
    | spl0_83
    | ~ spl0_59
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f2970,f649,f515,f644,f639]) ).

fof(f639,plain,
    ( spl0_82
  <=> c1_1(a636) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f515,plain,
    ( spl0_59
  <=> ! [X96] :
        ( ~ c3_1(X96)
        | c0_1(X96)
        | c1_1(X96) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f2970,plain,
    ( c0_1(a636)
    | c1_1(a636)
    | ~ spl0_59
    | ~ spl0_84 ),
    inference(resolution,[],[f651,f516]) ).

fof(f516,plain,
    ( ! [X96] :
        ( ~ c3_1(X96)
        | c0_1(X96)
        | c1_1(X96) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f2942,plain,
    ( spl0_131
    | ~ spl0_55
    | spl0_130
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f2941,f2249,f895,f489,f900]) ).

fof(f2249,plain,
    ( spl0_172
  <=> c1_1(a592) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f2941,plain,
    ( c0_1(a592)
    | ~ spl0_55
    | spl0_130
    | ~ spl0_172 ),
    inference(subsumption_resolution,[],[f2937,f897]) ).

fof(f2937,plain,
    ( c0_1(a592)
    | c3_1(a592)
    | ~ spl0_55
    | ~ spl0_172 ),
    inference(resolution,[],[f2250,f490]) ).

fof(f2250,plain,
    ( c1_1(a592)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f2249]) ).

fof(f2920,plain,
    ( ~ spl0_153
    | ~ spl0_57
    | spl0_151
    | spl0_152 ),
    inference(avatar_split_clause,[],[f2915,f1012,f1007,f499,f1017]) ).

fof(f1017,plain,
    ( spl0_153
  <=> c1_1(a584) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1007,plain,
    ( spl0_151
  <=> c2_1(a584) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1012,plain,
    ( spl0_152
  <=> c0_1(a584) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f2915,plain,
    ( ~ c1_1(a584)
    | ~ spl0_57
    | spl0_151
    | spl0_152 ),
    inference(subsumption_resolution,[],[f2903,f1014]) ).

fof(f1014,plain,
    ( ~ c0_1(a584)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f1012]) ).

fof(f2903,plain,
    ( c0_1(a584)
    | ~ c1_1(a584)
    | ~ spl0_57
    | spl0_151 ),
    inference(resolution,[],[f500,f1009]) ).

fof(f1009,plain,
    ( ~ c2_1(a584)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f1007]) ).

fof(f2883,plain,
    ( spl0_158
    | ~ spl0_45
    | spl0_121
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2879,f852,f847,f439,f1248]) ).

fof(f1248,plain,
    ( spl0_158
  <=> c2_1(a598) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f847,plain,
    ( spl0_121
  <=> c1_1(a598) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f852,plain,
    ( spl0_122
  <=> c3_1(a598) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f2879,plain,
    ( c2_1(a598)
    | ~ spl0_45
    | spl0_121
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f2868,f849]) ).

fof(f849,plain,
    ( ~ c1_1(a598)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f2868,plain,
    ( c1_1(a598)
    | c2_1(a598)
    | ~ spl0_45
    | ~ spl0_122 ),
    inference(resolution,[],[f440,f854]) ).

fof(f854,plain,
    ( c3_1(a598)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f2861,plain,
    ( ~ spl0_39
    | ~ spl0_58
    | spl0_91
    | spl0_92 ),
    inference(avatar_contradiction_clause,[],[f2860]) ).

fof(f2860,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_58
    | spl0_91
    | spl0_92 ),
    inference(subsumption_resolution,[],[f2853,f694]) ).

fof(f2853,plain,
    ( c2_1(a623)
    | ~ spl0_39
    | ~ spl0_58
    | spl0_91 ),
    inference(resolution,[],[f2845,f689]) ).

fof(f2845,plain,
    ( ! [X26] :
        ( c3_1(X26)
        | c2_1(X26) )
    | ~ spl0_39
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f413,f506]) ).

fof(f2842,plain,
    ( ~ spl0_16
    | ~ spl0_50
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(avatar_contradiction_clause,[],[f2841]) ).

fof(f2841,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_50
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(subsumption_resolution,[],[f2836,f566]) ).

fof(f566,plain,
    ( c2_1(a612)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f564,plain,
    ( spl0_68
  <=> c2_1(a612) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f2836,plain,
    ( ~ c2_1(a612)
    | ~ spl0_16
    | ~ spl0_50
    | ~ spl0_67 ),
    inference(resolution,[],[f2813,f561]) ).

fof(f561,plain,
    ( c3_1(a612)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f559,plain,
    ( spl0_67
  <=> c3_1(a612) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f2813,plain,
    ( ! [X50] :
        ( ~ c3_1(X50)
        | ~ c2_1(X50) )
    | ~ spl0_16
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f463,f309]) ).

fof(f309,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f308,plain,
    ( spl0_16
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f463,plain,
    ( ! [X50] :
        ( ~ c3_1(X50)
        | c0_1(X50)
        | ~ c2_1(X50) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f462,plain,
    ( spl0_50
  <=> ! [X50] :
        ( ~ c3_1(X50)
        | c0_1(X50)
        | ~ c2_1(X50) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f2812,plain,
    ( ~ spl0_73
    | ~ spl0_16
    | ~ spl0_75
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2811,f1946,f601,f308,f591]) ).

fof(f2811,plain,
    ( ~ c2_1(a583)
    | ~ spl0_16
    | ~ spl0_75
    | ~ spl0_165 ),
    inference(subsumption_resolution,[],[f2701,f603]) ).

fof(f2701,plain,
    ( ~ c0_1(a583)
    | ~ c2_1(a583)
    | ~ spl0_16
    | ~ spl0_165 ),
    inference(resolution,[],[f309,f1948]) ).

fof(f1948,plain,
    ( c3_1(a583)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1946]) ).

fof(f2807,plain,
    ( ~ spl0_60
    | spl0_77
    | ~ spl0_78
    | spl0_173 ),
    inference(avatar_contradiction_clause,[],[f2806]) ).

fof(f2806,plain,
    ( $false
    | ~ spl0_60
    | spl0_77
    | ~ spl0_78
    | spl0_173 ),
    inference(subsumption_resolution,[],[f2805,f614]) ).

fof(f614,plain,
    ( ~ c1_1(a651)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f612,plain,
    ( spl0_77
  <=> c1_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f2805,plain,
    ( c1_1(a651)
    | ~ spl0_60
    | ~ spl0_78
    | spl0_173 ),
    inference(subsumption_resolution,[],[f2784,f2412]) ).

fof(f2412,plain,
    ( ~ c0_1(a651)
    | spl0_173 ),
    inference(avatar_component_clause,[],[f2410]) ).

fof(f2410,plain,
    ( spl0_173
  <=> c0_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f2784,plain,
    ( c0_1(a651)
    | c1_1(a651)
    | ~ spl0_60
    | ~ spl0_78 ),
    inference(resolution,[],[f523,f619]) ).

fof(f619,plain,
    ( c2_1(a651)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f617]) ).

fof(f617,plain,
    ( spl0_78
  <=> c2_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f523,plain,
    ( ! [X103] :
        ( ~ c2_1(X103)
        | c0_1(X103)
        | c1_1(X103) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f522,plain,
    ( spl0_60
  <=> ! [X103] :
        ( ~ c2_1(X103)
        | c0_1(X103)
        | c1_1(X103) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f2798,plain,
    ( ~ spl0_60
    | spl0_94
    | spl0_95
    | ~ spl0_96 ),
    inference(avatar_contradiction_clause,[],[f2797]) ).

fof(f2797,plain,
    ( $false
    | ~ spl0_60
    | spl0_94
    | spl0_95
    | ~ spl0_96 ),
    inference(subsumption_resolution,[],[f2796,f705]) ).

fof(f705,plain,
    ( ~ c1_1(a617)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f703]) ).

fof(f703,plain,
    ( spl0_94
  <=> c1_1(a617) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f2796,plain,
    ( c1_1(a617)
    | ~ spl0_60
    | spl0_95
    | ~ spl0_96 ),
    inference(subsumption_resolution,[],[f2781,f710]) ).

fof(f710,plain,
    ( ~ c0_1(a617)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f708,plain,
    ( spl0_95
  <=> c0_1(a617) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f2781,plain,
    ( c0_1(a617)
    | c1_1(a617)
    | ~ spl0_60
    | ~ spl0_96 ),
    inference(resolution,[],[f523,f715]) ).

fof(f715,plain,
    ( c2_1(a617)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f713,plain,
    ( spl0_96
  <=> c2_1(a617) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f2795,plain,
    ( ~ spl0_60
    | spl0_118
    | ~ spl0_120
    | spl0_160 ),
    inference(avatar_contradiction_clause,[],[f2794]) ).

fof(f2794,plain,
    ( $false
    | ~ spl0_60
    | spl0_118
    | ~ spl0_120
    | spl0_160 ),
    inference(subsumption_resolution,[],[f2793,f833]) ).

fof(f833,plain,
    ( ~ c1_1(a599)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f831,plain,
    ( spl0_118
  <=> c1_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f2793,plain,
    ( c1_1(a599)
    | ~ spl0_60
    | ~ spl0_120
    | spl0_160 ),
    inference(subsumption_resolution,[],[f2777,f1544]) ).

fof(f1544,plain,
    ( ~ c0_1(a599)
    | spl0_160 ),
    inference(avatar_component_clause,[],[f1543]) ).

fof(f1543,plain,
    ( spl0_160
  <=> c0_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f2777,plain,
    ( c0_1(a599)
    | c1_1(a599)
    | ~ spl0_60
    | ~ spl0_120 ),
    inference(resolution,[],[f523,f843]) ).

fof(f843,plain,
    ( c2_1(a599)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f841]) ).

fof(f841,plain,
    ( spl0_120
  <=> c2_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f2792,plain,
    ( ~ spl0_60
    | spl0_125
    | spl0_126
    | ~ spl0_170 ),
    inference(avatar_contradiction_clause,[],[f2791]) ).

fof(f2791,plain,
    ( $false
    | ~ spl0_60
    | spl0_125
    | spl0_126
    | ~ spl0_170 ),
    inference(subsumption_resolution,[],[f2790,f870]) ).

fof(f870,plain,
    ( ~ c1_1(a595)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f868]) ).

fof(f868,plain,
    ( spl0_125
  <=> c1_1(a595) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f2790,plain,
    ( c1_1(a595)
    | ~ spl0_60
    | spl0_126
    | ~ spl0_170 ),
    inference(subsumption_resolution,[],[f2776,f875]) ).

fof(f875,plain,
    ( ~ c0_1(a595)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f873]) ).

fof(f873,plain,
    ( spl0_126
  <=> c0_1(a595) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f2776,plain,
    ( c0_1(a595)
    | c1_1(a595)
    | ~ spl0_60
    | ~ spl0_170 ),
    inference(resolution,[],[f523,f2160]) ).

fof(f2160,plain,
    ( c2_1(a595)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f2158]) ).

fof(f2158,plain,
    ( spl0_170
  <=> c2_1(a595) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f2789,plain,
    ( ~ spl0_60
    | spl0_131
    | ~ spl0_132
    | spl0_172 ),
    inference(avatar_contradiction_clause,[],[f2788]) ).

fof(f2788,plain,
    ( $false
    | ~ spl0_60
    | spl0_131
    | ~ spl0_132
    | spl0_172 ),
    inference(subsumption_resolution,[],[f2787,f2251]) ).

fof(f2251,plain,
    ( ~ c1_1(a592)
    | spl0_172 ),
    inference(avatar_component_clause,[],[f2249]) ).

fof(f2787,plain,
    ( c1_1(a592)
    | ~ spl0_60
    | spl0_131
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f2775,f902]) ).

fof(f902,plain,
    ( ~ c0_1(a592)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f900]) ).

fof(f2775,plain,
    ( c0_1(a592)
    | c1_1(a592)
    | ~ spl0_60
    | ~ spl0_132 ),
    inference(resolution,[],[f523,f907]) ).

fof(f907,plain,
    ( c2_1(a592)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f905,plain,
    ( spl0_132
  <=> c2_1(a592) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f2763,plain,
    ( ~ spl0_56
    | ~ spl0_58
    | ~ spl0_60
    | spl0_93
    | spl0_168 ),
    inference(avatar_contradiction_clause,[],[f2762]) ).

fof(f2762,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_58
    | ~ spl0_60
    | spl0_93
    | spl0_168 ),
    inference(subsumption_resolution,[],[f2748,f699]) ).

fof(f2748,plain,
    ( c1_1(a623)
    | ~ spl0_56
    | ~ spl0_58
    | ~ spl0_60
    | spl0_168 ),
    inference(resolution,[],[f2739,f2131]) ).

fof(f2131,plain,
    ( ~ c0_1(a623)
    | spl0_168 ),
    inference(avatar_component_clause,[],[f2130]) ).

fof(f2739,plain,
    ( ! [X103] :
        ( c0_1(X103)
        | c1_1(X103) )
    | ~ spl0_56
    | ~ spl0_58
    | ~ spl0_60 ),
    inference(subsumption_resolution,[],[f523,f2669]) ).

fof(f2669,plain,
    ( ! [X73] :
        ( c2_1(X73)
        | c0_1(X73) )
    | ~ spl0_56
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f494,f506]) ).

fof(f2713,plain,
    ( ~ spl0_160
    | ~ spl0_16
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f2712,f841,f836,f308,f1543]) ).

fof(f836,plain,
    ( spl0_119
  <=> c3_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f2712,plain,
    ( ~ c0_1(a599)
    | ~ spl0_16
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(subsumption_resolution,[],[f2694,f843]) ).

fof(f2694,plain,
    ( ~ c0_1(a599)
    | ~ c2_1(a599)
    | ~ spl0_16
    | ~ spl0_119 ),
    inference(resolution,[],[f309,f838]) ).

fof(f838,plain,
    ( c3_1(a599)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f2711,plain,
    ( ~ spl0_158
    | ~ spl0_16
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f2705,f857,f852,f308,f1248]) ).

fof(f857,plain,
    ( spl0_123
  <=> c0_1(a598) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f2705,plain,
    ( ~ c2_1(a598)
    | ~ spl0_16
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f2693,f859]) ).

fof(f859,plain,
    ( c0_1(a598)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f857]) ).

fof(f2693,plain,
    ( ~ c0_1(a598)
    | ~ c2_1(a598)
    | ~ spl0_16
    | ~ spl0_122 ),
    inference(resolution,[],[f309,f854]) ).

fof(f2554,plain,
    ( spl0_156
    | ~ spl0_39
    | ~ spl0_58
    | spl0_109 ),
    inference(avatar_split_clause,[],[f2548,f783,f505,f412,f1129]) ).

fof(f1129,plain,
    ( spl0_156
  <=> c2_1(a603) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f783,plain,
    ( spl0_109
  <=> c3_1(a603) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f2548,plain,
    ( c2_1(a603)
    | ~ spl0_39
    | ~ spl0_58
    | spl0_109 ),
    inference(resolution,[],[f2537,f785]) ).

fof(f785,plain,
    ( ~ c3_1(a603)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f783]) ).

fof(f2537,plain,
    ( ! [X26] :
        ( c3_1(X26)
        | c2_1(X26) )
    | ~ spl0_39
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f413,f506]) ).

fof(f2533,plain,
    ( ~ spl0_45
    | ~ spl0_48
    | spl0_110
    | spl0_156 ),
    inference(avatar_contradiction_clause,[],[f2532]) ).

fof(f2532,plain,
    ( $false
    | ~ spl0_45
    | ~ spl0_48
    | spl0_110
    | spl0_156 ),
    inference(subsumption_resolution,[],[f2520,f790]) ).

fof(f790,plain,
    ( ~ c1_1(a603)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f788]) ).

fof(f788,plain,
    ( spl0_110
  <=> c1_1(a603) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f2520,plain,
    ( c1_1(a603)
    | ~ spl0_45
    | ~ spl0_48
    | spl0_156 ),
    inference(resolution,[],[f2512,f1130]) ).

fof(f1130,plain,
    ( ~ c2_1(a603)
    | spl0_156 ),
    inference(avatar_component_clause,[],[f1129]) ).

fof(f2512,plain,
    ( ! [X49] :
        ( c2_1(X49)
        | c1_1(X49) )
    | ~ spl0_45
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f456,f440]) ).

fof(f456,plain,
    ( ! [X49] :
        ( c3_1(X49)
        | c1_1(X49)
        | c2_1(X49) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f455,plain,
    ( spl0_48
  <=> ! [X49] :
        ( c3_1(X49)
        | c1_1(X49)
        | c2_1(X49) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f2477,plain,
    ( ~ spl0_167
    | ~ spl0_20
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2476,f569,f564,f325,f2074]) ).

fof(f2074,plain,
    ( spl0_167
  <=> c0_1(a612) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f325,plain,
    ( spl0_20
  <=> ! [X5] :
        ( ~ c2_1(X5)
        | ~ c0_1(X5)
        | ~ c1_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f569,plain,
    ( spl0_69
  <=> c1_1(a612) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f2476,plain,
    ( ~ c0_1(a612)
    | ~ spl0_20
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(subsumption_resolution,[],[f2474,f571]) ).

fof(f571,plain,
    ( c1_1(a612)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f2474,plain,
    ( ~ c0_1(a612)
    | ~ c1_1(a612)
    | ~ spl0_20
    | ~ spl0_68 ),
    inference(resolution,[],[f326,f566]) ).

fof(f326,plain,
    ( ! [X5] :
        ( ~ c2_1(X5)
        | ~ c0_1(X5)
        | ~ c1_1(X5) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f2457,plain,
    ( spl0_157
    | ~ spl0_56
    | ~ spl0_58
    | spl0_127 ),
    inference(avatar_split_clause,[],[f2449,f879,f505,f493,f1231]) ).

fof(f2449,plain,
    ( c0_1(a593)
    | ~ spl0_56
    | ~ spl0_58
    | spl0_127 ),
    inference(resolution,[],[f2414,f881]) ).

fof(f2414,plain,
    ( ! [X73] :
        ( c2_1(X73)
        | c0_1(X73) )
    | ~ spl0_56
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f494,f506]) ).

fof(f2442,plain,
    ( ~ spl0_16
    | ~ spl0_24
    | ~ spl0_120
    | ~ spl0_160 ),
    inference(avatar_contradiction_clause,[],[f2441]) ).

fof(f2441,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_24
    | ~ spl0_120
    | ~ spl0_160 ),
    inference(subsumption_resolution,[],[f2430,f843]) ).

fof(f2430,plain,
    ( ~ c2_1(a599)
    | ~ spl0_16
    | ~ spl0_24
    | ~ spl0_160 ),
    inference(resolution,[],[f2394,f1545]) ).

fof(f1545,plain,
    ( c0_1(a599)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1543]) ).

fof(f2394,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_16
    | ~ spl0_24 ),
    inference(subsumption_resolution,[],[f309,f343]) ).

fof(f343,plain,
    ( ! [X8] :
        ( ~ c2_1(X8)
        | c3_1(X8)
        | ~ c0_1(X8) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f342,plain,
    ( spl0_24
  <=> ! [X8] :
        ( ~ c2_1(X8)
        | c3_1(X8)
        | ~ c0_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f2438,plain,
    ( ~ spl0_16
    | ~ spl0_24
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f2437]) ).

fof(f2437,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_24
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f2426,f966]) ).

fof(f966,plain,
    ( c2_1(a587)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f964]) ).

fof(f964,plain,
    ( spl0_143
  <=> c2_1(a587) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f2426,plain,
    ( ~ c2_1(a587)
    | ~ spl0_16
    | ~ spl0_24
    | ~ spl0_144 ),
    inference(resolution,[],[f2394,f971]) ).

fof(f971,plain,
    ( c0_1(a587)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f969]) ).

fof(f969,plain,
    ( spl0_144
  <=> c0_1(a587) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2413,plain,
    ( ~ spl0_173
    | spl0_76
    | ~ spl0_24
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1821,f617,f342,f607,f2410]) ).

fof(f607,plain,
    ( spl0_76
  <=> c3_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1821,plain,
    ( c3_1(a651)
    | ~ c0_1(a651)
    | ~ spl0_24
    | ~ spl0_78 ),
    inference(resolution,[],[f343,f619]) ).

fof(f2374,plain,
    ( ~ spl0_166
    | ~ spl0_26
    | spl0_103
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2373,f761,f751,f352,f2062]) ).

fof(f2373,plain,
    ( ~ c0_1(a606)
    | ~ spl0_26
    | spl0_103
    | ~ spl0_105 ),
    inference(subsumption_resolution,[],[f2367,f753]) ).

fof(f2367,plain,
    ( c3_1(a606)
    | ~ c0_1(a606)
    | ~ spl0_26
    | ~ spl0_105 ),
    inference(resolution,[],[f353,f763]) ).

fof(f2321,plain,
    ( ~ spl0_56
    | ~ spl0_58
    | spl0_112
    | spl0_114 ),
    inference(avatar_contradiction_clause,[],[f2320]) ).

fof(f2320,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_58
    | spl0_112
    | spl0_114 ),
    inference(subsumption_resolution,[],[f2309,f811]) ).

fof(f811,plain,
    ( ~ c0_1(a601)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f809]) ).

fof(f809,plain,
    ( spl0_114
  <=> c0_1(a601) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f2309,plain,
    ( c0_1(a601)
    | ~ spl0_56
    | ~ spl0_58
    | spl0_112 ),
    inference(resolution,[],[f2295,f801]) ).

fof(f801,plain,
    ( ~ c2_1(a601)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f799,plain,
    ( spl0_112
  <=> c2_1(a601) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f2295,plain,
    ( ! [X73] :
        ( c2_1(X73)
        | c0_1(X73) )
    | ~ spl0_56
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f494,f506]) ).

fof(f2316,plain,
    ( ~ spl0_56
    | ~ spl0_58
    | spl0_151
    | spl0_152 ),
    inference(avatar_contradiction_clause,[],[f2315]) ).

fof(f2315,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_58
    | spl0_151
    | spl0_152 ),
    inference(subsumption_resolution,[],[f2305,f1014]) ).

fof(f2305,plain,
    ( c0_1(a584)
    | ~ spl0_56
    | ~ spl0_58
    | spl0_151 ),
    inference(resolution,[],[f2295,f1009]) ).

fof(f2303,plain,
    ( spl0_170
    | spl0_126
    | ~ spl0_58
    | spl0_124 ),
    inference(avatar_split_clause,[],[f2302,f863,f505,f873,f2158]) ).

fof(f863,plain,
    ( spl0_124
  <=> c3_1(a595) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f2302,plain,
    ( c0_1(a595)
    | c2_1(a595)
    | ~ spl0_58
    | spl0_124 ),
    inference(resolution,[],[f865,f506]) ).

fof(f865,plain,
    ( ~ c3_1(a595)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f863]) ).

fof(f2255,plain,
    ( ~ spl0_87
    | spl0_86
    | ~ spl0_52
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f2177,f1902,f474,f660,f665]) ).

fof(f665,plain,
    ( spl0_87
  <=> c1_1(a633) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f660,plain,
    ( spl0_86
  <=> c0_1(a633) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f474,plain,
    ( spl0_52
  <=> ! [X60] :
        ( ~ c2_1(X60)
        | c0_1(X60)
        | ~ c1_1(X60) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1902,plain,
    ( spl0_164
  <=> c2_1(a633) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f2177,plain,
    ( c0_1(a633)
    | ~ c1_1(a633)
    | ~ spl0_52
    | ~ spl0_164 ),
    inference(resolution,[],[f1903,f475]) ).

fof(f475,plain,
    ( ! [X60] :
        ( ~ c2_1(X60)
        | c0_1(X60)
        | ~ c1_1(X60) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f1903,plain,
    ( c2_1(a633)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1902]) ).

fof(f2245,plain,
    ( spl0_131
    | ~ spl0_54
    | ~ spl0_58
    | spl0_130 ),
    inference(avatar_split_clause,[],[f2238,f895,f505,f484,f900]) ).

fof(f484,plain,
    ( spl0_54
  <=> ! [X66] :
        ( ~ c2_1(X66)
        | c0_1(X66)
        | c3_1(X66) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f2238,plain,
    ( c0_1(a592)
    | ~ spl0_54
    | ~ spl0_58
    | spl0_130 ),
    inference(resolution,[],[f2229,f897]) ).

fof(f2229,plain,
    ( ! [X66] :
        ( c3_1(X66)
        | c0_1(X66) )
    | ~ spl0_54
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f485,f506]) ).

fof(f485,plain,
    ( ! [X66] :
        ( ~ c2_1(X66)
        | c0_1(X66)
        | c3_1(X66) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f2194,plain,
    ( ~ spl0_150
    | spl0_148
    | ~ spl0_52
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1487,f996,f474,f991,f1001]) ).

fof(f1001,plain,
    ( spl0_150
  <=> c1_1(a585) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f991,plain,
    ( spl0_148
  <=> c0_1(a585) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f996,plain,
    ( spl0_149
  <=> c2_1(a585) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1487,plain,
    ( c0_1(a585)
    | ~ c1_1(a585)
    | ~ spl0_52
    | ~ spl0_149 ),
    inference(resolution,[],[f475,f998]) ).

fof(f998,plain,
    ( c2_1(a585)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f996]) ).

fof(f2187,plain,
    ( ~ spl0_17
    | ~ spl0_26
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(avatar_contradiction_clause,[],[f2186]) ).

fof(f2186,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_26
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(subsumption_resolution,[],[f2181,f603]) ).

fof(f2181,plain,
    ( ~ c0_1(a583)
    | ~ spl0_17
    | ~ spl0_26
    | ~ spl0_74 ),
    inference(resolution,[],[f2085,f598]) ).

fof(f2085,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_17
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f313,f353]) ).

fof(f313,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f312,plain,
    ( spl0_17
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f2169,plain,
    ( ~ spl0_24
    | ~ spl0_39
    | ~ spl0_54
    | ~ spl0_58
    | spl0_91 ),
    inference(avatar_contradiction_clause,[],[f2168]) ).

fof(f2168,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_39
    | ~ spl0_54
    | ~ spl0_58
    | spl0_91 ),
    inference(resolution,[],[f2164,f689]) ).

fof(f2164,plain,
    ( ! [X26] : c3_1(X26)
    | ~ spl0_24
    | ~ spl0_39
    | ~ spl0_54
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f2084,f2083]) ).

fof(f2083,plain,
    ( ! [X66] :
        ( c3_1(X66)
        | c0_1(X66) )
    | ~ spl0_54
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f485,f506]) ).

fof(f2084,plain,
    ( ! [X26] :
        ( c3_1(X26)
        | ~ c0_1(X26) )
    | ~ spl0_24
    | ~ spl0_39 ),
    inference(subsumption_resolution,[],[f413,f343]) ).

fof(f2156,plain,
    ( spl0_126
    | ~ spl0_54
    | ~ spl0_58
    | spl0_124 ),
    inference(avatar_split_clause,[],[f2148,f863,f505,f484,f873]) ).

fof(f2148,plain,
    ( c0_1(a595)
    | ~ spl0_54
    | ~ spl0_58
    | spl0_124 ),
    inference(resolution,[],[f2083,f865]) ).

fof(f2155,plain,
    ( spl0_76
    | ~ spl0_24
    | ~ spl0_54
    | ~ spl0_58
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f2154,f617,f505,f484,f342,f607]) ).

fof(f2154,plain,
    ( c3_1(a651)
    | ~ spl0_24
    | ~ spl0_54
    | ~ spl0_58
    | ~ spl0_78 ),
    inference(subsumption_resolution,[],[f1821,f2083]) ).

fof(f2080,plain,
    ( spl0_164
    | spl0_86
    | ~ spl0_58
    | spl0_85 ),
    inference(avatar_split_clause,[],[f2070,f655,f505,f660,f1902]) ).

fof(f655,plain,
    ( spl0_85
  <=> c3_1(a633) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f2070,plain,
    ( c0_1(a633)
    | c2_1(a633)
    | ~ spl0_58
    | spl0_85 ),
    inference(resolution,[],[f657,f506]) ).

fof(f657,plain,
    ( ~ c3_1(a633)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f2077,plain,
    ( ~ spl0_69
    | spl0_167
    | ~ spl0_52
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1494,f564,f474,f2074,f569]) ).

fof(f1494,plain,
    ( c0_1(a612)
    | ~ c1_1(a612)
    | ~ spl0_52
    | ~ spl0_68 ),
    inference(resolution,[],[f475,f566]) ).

fof(f2026,plain,
    ( spl0_26
    | ~ spl0_24
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f2025,f389,f342,f352]) ).

fof(f2025,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_24
    | ~ spl0_34 ),
    inference(duplicate_literal_removal,[],[f2011]) ).

fof(f2011,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_24
    | ~ spl0_34 ),
    inference(resolution,[],[f390,f343]) ).

fof(f2003,plain,
    ( ~ spl0_52
    | ~ spl0_57
    | spl0_106
    | ~ spl0_108 ),
    inference(avatar_contradiction_clause,[],[f2002]) ).

fof(f2002,plain,
    ( $false
    | ~ spl0_52
    | ~ spl0_57
    | spl0_106
    | ~ spl0_108 ),
    inference(subsumption_resolution,[],[f1991,f769]) ).

fof(f769,plain,
    ( ~ c0_1(a604)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f767,plain,
    ( spl0_106
  <=> c0_1(a604) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1991,plain,
    ( c0_1(a604)
    | ~ spl0_52
    | ~ spl0_57
    | ~ spl0_108 ),
    inference(resolution,[],[f1988,f779]) ).

fof(f779,plain,
    ( c1_1(a604)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f777]) ).

fof(f777,plain,
    ( spl0_108
  <=> c1_1(a604) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1988,plain,
    ( ! [X78] :
        ( ~ c1_1(X78)
        | c0_1(X78) )
    | ~ spl0_52
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f500,f475]) ).

fof(f1981,plain,
    ( ~ spl0_50
    | ~ spl0_119
    | ~ spl0_120
    | spl0_160 ),
    inference(avatar_contradiction_clause,[],[f1980]) ).

fof(f1980,plain,
    ( $false
    | ~ spl0_50
    | ~ spl0_119
    | ~ spl0_120
    | spl0_160 ),
    inference(subsumption_resolution,[],[f1979,f843]) ).

fof(f1979,plain,
    ( ~ c2_1(a599)
    | ~ spl0_50
    | ~ spl0_119
    | spl0_160 ),
    inference(subsumption_resolution,[],[f1966,f1544]) ).

fof(f1966,plain,
    ( c0_1(a599)
    | ~ c2_1(a599)
    | ~ spl0_50
    | ~ spl0_119 ),
    inference(resolution,[],[f463,f838]) ).

fof(f1978,plain,
    ( ~ spl0_50
    | spl0_133
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f1977]) ).

fof(f1977,plain,
    ( $false
    | ~ spl0_50
    | spl0_133
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1976,f923]) ).

fof(f923,plain,
    ( c2_1(a590)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f921]) ).

fof(f921,plain,
    ( spl0_135
  <=> c2_1(a590) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1976,plain,
    ( ~ c2_1(a590)
    | ~ spl0_50
    | spl0_133
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1963,f913]) ).

fof(f913,plain,
    ( ~ c0_1(a590)
    | spl0_133 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f911,plain,
    ( spl0_133
  <=> c0_1(a590) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1963,plain,
    ( c0_1(a590)
    | ~ c2_1(a590)
    | ~ spl0_50
    | ~ spl0_134 ),
    inference(resolution,[],[f463,f918]) ).

fof(f918,plain,
    ( c3_1(a590)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f916]) ).

fof(f916,plain,
    ( spl0_134
  <=> c3_1(a590) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1949,plain,
    ( ~ spl0_75
    | spl0_165
    | ~ spl0_24
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1822,f591,f342,f1946,f601]) ).

fof(f1822,plain,
    ( c3_1(a583)
    | ~ c0_1(a583)
    | ~ spl0_24
    | ~ spl0_73 ),
    inference(resolution,[],[f343,f593]) ).

fof(f1943,plain,
    ( ~ spl0_47
    | spl0_110
    | ~ spl0_111
    | spl0_156 ),
    inference(avatar_contradiction_clause,[],[f1942]) ).

fof(f1942,plain,
    ( $false
    | ~ spl0_47
    | spl0_110
    | ~ spl0_111
    | spl0_156 ),
    inference(subsumption_resolution,[],[f1941,f1130]) ).

fof(f1941,plain,
    ( c2_1(a603)
    | ~ spl0_47
    | spl0_110
    | ~ spl0_111 ),
    inference(subsumption_resolution,[],[f1937,f790]) ).

fof(f1937,plain,
    ( c1_1(a603)
    | c2_1(a603)
    | ~ spl0_47
    | ~ spl0_111 ),
    inference(resolution,[],[f449,f795]) ).

fof(f795,plain,
    ( c0_1(a603)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f793,plain,
    ( spl0_111
  <=> c0_1(a603) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1878,plain,
    ( ~ spl0_72
    | ~ spl0_17
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1877,f580,f575,f312,f585]) ).

fof(f585,plain,
    ( spl0_72
  <=> c0_1(a611) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f575,plain,
    ( spl0_70
  <=> c3_1(a611) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f580,plain,
    ( spl0_71
  <=> c1_1(a611) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1877,plain,
    ( ~ c0_1(a611)
    | ~ spl0_17
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(subsumption_resolution,[],[f1875,f582]) ).

fof(f582,plain,
    ( c1_1(a611)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f1875,plain,
    ( ~ c0_1(a611)
    | ~ c1_1(a611)
    | ~ spl0_17
    | ~ spl0_70 ),
    inference(resolution,[],[f577,f313]) ).

fof(f577,plain,
    ( c3_1(a611)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f1866,plain,
    ( ~ spl0_49
    | spl0_142
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f1865]) ).

fof(f1865,plain,
    ( $false
    | ~ spl0_49
    | spl0_142
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f1864,f966]) ).

fof(f1864,plain,
    ( ~ c2_1(a587)
    | ~ spl0_49
    | spl0_142
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f1860,f961]) ).

fof(f961,plain,
    ( ~ c1_1(a587)
    | spl0_142 ),
    inference(avatar_component_clause,[],[f959]) ).

fof(f959,plain,
    ( spl0_142
  <=> c1_1(a587) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1860,plain,
    ( c1_1(a587)
    | ~ c2_1(a587)
    | ~ spl0_49
    | ~ spl0_144 ),
    inference(resolution,[],[f459,f971]) ).

fof(f459,plain,
    ( ! [X48] :
        ( ~ c0_1(X48)
        | c1_1(X48)
        | ~ c2_1(X48) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f458,plain,
    ( spl0_49
  <=> ! [X48] :
        ( ~ c2_1(X48)
        | c1_1(X48)
        | ~ c0_1(X48) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1863,plain,
    ( ~ spl0_49
    | spl0_121
    | ~ spl0_123
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f1862]) ).

fof(f1862,plain,
    ( $false
    | ~ spl0_49
    | spl0_121
    | ~ spl0_123
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f1861,f1249]) ).

fof(f1249,plain,
    ( c2_1(a598)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1248]) ).

fof(f1861,plain,
    ( ~ c2_1(a598)
    | ~ spl0_49
    | spl0_121
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f1859,f849]) ).

fof(f1859,plain,
    ( c1_1(a598)
    | ~ c2_1(a598)
    | ~ spl0_49
    | ~ spl0_123 ),
    inference(resolution,[],[f459,f859]) ).

fof(f1827,plain,
    ( ~ spl0_24
    | spl0_109
    | ~ spl0_111
    | ~ spl0_156 ),
    inference(avatar_contradiction_clause,[],[f1826]) ).

fof(f1826,plain,
    ( $false
    | ~ spl0_24
    | spl0_109
    | ~ spl0_111
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f1825,f795]) ).

fof(f1825,plain,
    ( ~ c0_1(a603)
    | ~ spl0_24
    | spl0_109
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f1819,f785]) ).

fof(f1819,plain,
    ( c3_1(a603)
    | ~ c0_1(a603)
    | ~ spl0_24
    | ~ spl0_156 ),
    inference(resolution,[],[f343,f1131]) ).

fof(f1131,plain,
    ( c2_1(a603)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1129]) ).

fof(f1672,plain,
    ( ~ spl0_45
    | spl0_100
    | spl0_101
    | ~ spl0_102 ),
    inference(avatar_contradiction_clause,[],[f1671]) ).

fof(f1671,plain,
    ( $false
    | ~ spl0_45
    | spl0_100
    | spl0_101
    | ~ spl0_102 ),
    inference(subsumption_resolution,[],[f1670,f737]) ).

fof(f737,plain,
    ( ~ c2_1(a607)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f735,plain,
    ( spl0_100
  <=> c2_1(a607) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1670,plain,
    ( c2_1(a607)
    | ~ spl0_45
    | spl0_101
    | ~ spl0_102 ),
    inference(subsumption_resolution,[],[f1667,f742]) ).

fof(f742,plain,
    ( ~ c1_1(a607)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f740,plain,
    ( spl0_101
  <=> c1_1(a607) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1667,plain,
    ( c1_1(a607)
    | c2_1(a607)
    | ~ spl0_45
    | ~ spl0_102 ),
    inference(resolution,[],[f440,f747]) ).

fof(f747,plain,
    ( c3_1(a607)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f745]) ).

fof(f745,plain,
    ( spl0_102
  <=> c3_1(a607) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1567,plain,
    ( ~ spl0_30
    | ~ spl0_56
    | spl0_97
    | ~ spl0_99 ),
    inference(avatar_contradiction_clause,[],[f1566]) ).

fof(f1566,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_56
    | spl0_97
    | ~ spl0_99 ),
    inference(subsumption_resolution,[],[f1558,f721]) ).

fof(f1558,plain,
    ( c2_1(a610)
    | ~ spl0_30
    | ~ spl0_56
    | ~ spl0_99 ),
    inference(resolution,[],[f1529,f731]) ).

fof(f1529,plain,
    ( ! [X73] :
        ( ~ c3_1(X73)
        | c2_1(X73) )
    | ~ spl0_30
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f494,f371]) ).

fof(f371,plain,
    ( ! [X16] :
        ( ~ c3_1(X16)
        | c2_1(X16)
        | ~ c0_1(X16) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f370,plain,
    ( spl0_30
  <=> ! [X16] :
        ( ~ c3_1(X16)
        | c2_1(X16)
        | ~ c0_1(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1565,plain,
    ( ~ spl0_30
    | ~ spl0_56
    | spl0_100
    | ~ spl0_102 ),
    inference(avatar_contradiction_clause,[],[f1564]) ).

fof(f1564,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_56
    | spl0_100
    | ~ spl0_102 ),
    inference(subsumption_resolution,[],[f1557,f737]) ).

fof(f1557,plain,
    ( c2_1(a607)
    | ~ spl0_30
    | ~ spl0_56
    | ~ spl0_102 ),
    inference(resolution,[],[f1529,f747]) ).

fof(f1526,plain,
    ( ~ spl0_55
    | spl0_85
    | spl0_86
    | ~ spl0_87 ),
    inference(avatar_contradiction_clause,[],[f1525]) ).

fof(f1525,plain,
    ( $false
    | ~ spl0_55
    | spl0_85
    | spl0_86
    | ~ spl0_87 ),
    inference(subsumption_resolution,[],[f1524,f657]) ).

fof(f1524,plain,
    ( c3_1(a633)
    | ~ spl0_55
    | spl0_86
    | ~ spl0_87 ),
    inference(subsumption_resolution,[],[f1518,f662]) ).

fof(f662,plain,
    ( ~ c0_1(a633)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f1518,plain,
    ( c0_1(a633)
    | c3_1(a633)
    | ~ spl0_55
    | ~ spl0_87 ),
    inference(resolution,[],[f490,f667]) ).

fof(f667,plain,
    ( c1_1(a633)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f1470,plain,
    ( ~ spl0_20
    | ~ spl0_73
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(avatar_contradiction_clause,[],[f1469]) ).

fof(f1469,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_73
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(subsumption_resolution,[],[f1468,f598]) ).

fof(f1468,plain,
    ( ~ c1_1(a583)
    | ~ spl0_20
    | ~ spl0_73
    | ~ spl0_75 ),
    inference(subsumption_resolution,[],[f1464,f603]) ).

fof(f1464,plain,
    ( ~ c0_1(a583)
    | ~ c1_1(a583)
    | ~ spl0_20
    | ~ spl0_73 ),
    inference(resolution,[],[f326,f593]) ).

fof(f1443,plain,
    ( ~ spl0_48
    | spl0_91
    | spl0_92
    | spl0_93 ),
    inference(avatar_contradiction_clause,[],[f1442]) ).

fof(f1442,plain,
    ( $false
    | ~ spl0_48
    | spl0_91
    | spl0_92
    | spl0_93 ),
    inference(subsumption_resolution,[],[f1441,f694]) ).

fof(f1441,plain,
    ( c2_1(a623)
    | ~ spl0_48
    | spl0_91
    | spl0_93 ),
    inference(subsumption_resolution,[],[f1427,f699]) ).

fof(f1427,plain,
    ( c1_1(a623)
    | c2_1(a623)
    | ~ spl0_48
    | spl0_91 ),
    inference(resolution,[],[f456,f689]) ).

fof(f1416,plain,
    ( spl0_158
    | ~ spl0_47
    | spl0_121
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1415,f857,f847,f448,f1248]) ).

fof(f1415,plain,
    ( c2_1(a598)
    | ~ spl0_47
    | spl0_121
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f1406,f849]) ).

fof(f1406,plain,
    ( c1_1(a598)
    | c2_1(a598)
    | ~ spl0_47
    | ~ spl0_123 ),
    inference(resolution,[],[f449,f859]) ).

fof(f1414,plain,
    ( ~ spl0_47
    | spl0_139
    | spl0_140
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f1413]) ).

fof(f1413,plain,
    ( $false
    | ~ spl0_47
    | spl0_139
    | spl0_140
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1412,f945]) ).

fof(f945,plain,
    ( ~ c2_1(a588)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f943]) ).

fof(f943,plain,
    ( spl0_139
  <=> c2_1(a588) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1412,plain,
    ( c2_1(a588)
    | ~ spl0_47
    | spl0_140
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1405,f950]) ).

fof(f950,plain,
    ( ~ c1_1(a588)
    | spl0_140 ),
    inference(avatar_component_clause,[],[f948]) ).

fof(f948,plain,
    ( spl0_140
  <=> c1_1(a588) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f1405,plain,
    ( c1_1(a588)
    | c2_1(a588)
    | ~ spl0_47
    | ~ spl0_141 ),
    inference(resolution,[],[f449,f955]) ).

fof(f955,plain,
    ( c0_1(a588)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f953]) ).

fof(f953,plain,
    ( spl0_141
  <=> c0_1(a588) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1388,plain,
    ( ~ spl0_36
    | spl0_103
    | spl0_104
    | ~ spl0_105 ),
    inference(avatar_contradiction_clause,[],[f1387]) ).

fof(f1387,plain,
    ( $false
    | ~ spl0_36
    | spl0_103
    | spl0_104
    | ~ spl0_105 ),
    inference(subsumption_resolution,[],[f1386,f753]) ).

fof(f1386,plain,
    ( c3_1(a606)
    | ~ spl0_36
    | spl0_104
    | ~ spl0_105 ),
    inference(subsumption_resolution,[],[f1380,f758]) ).

fof(f1380,plain,
    ( c2_1(a606)
    | c3_1(a606)
    | ~ spl0_36
    | ~ spl0_105 ),
    inference(resolution,[],[f399,f763]) ).

fof(f399,plain,
    ( ! [X22] :
        ( ~ c1_1(X22)
        | c2_1(X22)
        | c3_1(X22) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f398,plain,
    ( spl0_36
  <=> ! [X22] :
        ( ~ c1_1(X22)
        | c2_1(X22)
        | c3_1(X22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1373,plain,
    ( ~ spl0_157
    | ~ spl0_17
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1372,f889,f884,f312,f1231]) ).

fof(f884,plain,
    ( spl0_128
  <=> c3_1(a593) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1372,plain,
    ( ~ c0_1(a593)
    | ~ spl0_17
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f1368,f891]) ).

fof(f1368,plain,
    ( ~ c0_1(a593)
    | ~ c1_1(a593)
    | ~ spl0_17
    | ~ spl0_128 ),
    inference(resolution,[],[f886,f313]) ).

fof(f886,plain,
    ( c3_1(a593)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f884]) ).

fof(f1326,plain,
    ( ~ spl0_128
    | spl0_157
    | ~ spl0_51
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1238,f889,f467,f1231,f884]) ).

fof(f467,plain,
    ( spl0_51
  <=> ! [X53] :
        ( ~ c3_1(X53)
        | c0_1(X53)
        | ~ c1_1(X53) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1238,plain,
    ( c0_1(a593)
    | ~ c3_1(a593)
    | ~ spl0_51
    | ~ spl0_129 ),
    inference(resolution,[],[f891,f468]) ).

fof(f468,plain,
    ( ! [X53] :
        ( ~ c1_1(X53)
        | c0_1(X53)
        | ~ c3_1(X53) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f1271,plain,
    ( ~ spl0_69
    | ~ spl0_13
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1270,f564,f559,f296,f569]) ).

fof(f1270,plain,
    ( ~ c1_1(a612)
    | ~ spl0_13
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(subsumption_resolution,[],[f1265,f566]) ).

fof(f1265,plain,
    ( ~ c1_1(a612)
    | ~ c2_1(a612)
    | ~ spl0_13
    | ~ spl0_67 ),
    inference(resolution,[],[f297,f561]) ).

fof(f1246,plain,
    ( ~ spl0_29
    | spl0_127
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f1245]) ).

fof(f1245,plain,
    ( $false
    | ~ spl0_29
    | spl0_127
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f1244,f886]) ).

fof(f1244,plain,
    ( ~ c3_1(a593)
    | ~ spl0_29
    | spl0_127
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f1239,f881]) ).

fof(f1239,plain,
    ( c2_1(a593)
    | ~ c3_1(a593)
    | ~ spl0_29
    | ~ spl0_129 ),
    inference(resolution,[],[f891,f366]) ).

fof(f366,plain,
    ( ! [X13] :
        ( ~ c1_1(X13)
        | c2_1(X13)
        | ~ c3_1(X13) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f365,plain,
    ( spl0_29
  <=> ! [X13] :
        ( ~ c3_1(X13)
        | c2_1(X13)
        | ~ c1_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1241,plain,
    ( ~ spl0_17
    | ~ spl0_51
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f1240]) ).

fof(f1240,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_51
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f1237,f886]) ).

fof(f1237,plain,
    ( ~ c3_1(a593)
    | ~ spl0_17
    | ~ spl0_51
    | ~ spl0_129 ),
    inference(resolution,[],[f891,f1212]) ).

fof(f1212,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_17
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f313,f468]) ).

fof(f1234,plain,
    ( ~ spl0_157
    | ~ spl0_129
    | ~ spl0_34
    | spl0_127 ),
    inference(avatar_split_clause,[],[f1228,f879,f389,f889,f1231]) ).

fof(f1228,plain,
    ( ~ c1_1(a593)
    | ~ c0_1(a593)
    | ~ spl0_34
    | spl0_127 ),
    inference(resolution,[],[f881,f390]) ).

fof(f1221,plain,
    ( ~ spl0_17
    | ~ spl0_51
    | ~ spl0_67
    | ~ spl0_69 ),
    inference(avatar_contradiction_clause,[],[f1220]) ).

fof(f1220,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_51
    | ~ spl0_67
    | ~ spl0_69 ),
    inference(subsumption_resolution,[],[f1217,f561]) ).

fof(f1217,plain,
    ( ~ c3_1(a612)
    | ~ spl0_17
    | ~ spl0_51
    | ~ spl0_69 ),
    inference(resolution,[],[f1212,f571]) ).

fof(f1210,plain,
    ( ~ spl0_51
    | spl0_106
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(avatar_contradiction_clause,[],[f1209]) ).

fof(f1209,plain,
    ( $false
    | ~ spl0_51
    | spl0_106
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(subsumption_resolution,[],[f1208,f774]) ).

fof(f774,plain,
    ( c3_1(a604)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f772,plain,
    ( spl0_107
  <=> c3_1(a604) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1208,plain,
    ( ~ c3_1(a604)
    | ~ spl0_51
    | spl0_106
    | ~ spl0_108 ),
    inference(subsumption_resolution,[],[f1202,f769]) ).

fof(f1202,plain,
    ( c0_1(a604)
    | ~ c3_1(a604)
    | ~ spl0_51
    | ~ spl0_108 ),
    inference(resolution,[],[f468,f779]) ).

fof(f1188,plain,
    ( ~ spl0_46
    | spl0_109
    | spl0_110
    | ~ spl0_111 ),
    inference(avatar_contradiction_clause,[],[f1187]) ).

fof(f1187,plain,
    ( $false
    | ~ spl0_46
    | spl0_109
    | spl0_110
    | ~ spl0_111 ),
    inference(subsumption_resolution,[],[f1186,f795]) ).

fof(f1186,plain,
    ( ~ c0_1(a603)
    | ~ spl0_46
    | spl0_109
    | spl0_110 ),
    inference(subsumption_resolution,[],[f1180,f790]) ).

fof(f1180,plain,
    ( c1_1(a603)
    | ~ c0_1(a603)
    | ~ spl0_46
    | spl0_109 ),
    inference(resolution,[],[f445,f785]) ).

fof(f445,plain,
    ( ! [X41] :
        ( c3_1(X41)
        | c1_1(X41)
        | ~ c0_1(X41) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f444,plain,
    ( spl0_46
  <=> ! [X41] :
        ( ~ c0_1(X41)
        | c1_1(X41)
        | c3_1(X41) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1172,plain,
    ( ~ spl0_156
    | ~ spl0_44
    | spl0_109
    | spl0_110 ),
    inference(avatar_split_clause,[],[f1171,f788,f783,f435,f1129]) ).

fof(f435,plain,
    ( spl0_44
  <=> ! [X35] :
        ( ~ c2_1(X35)
        | c1_1(X35)
        | c3_1(X35) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1171,plain,
    ( ~ c2_1(a603)
    | ~ spl0_44
    | spl0_109
    | spl0_110 ),
    inference(subsumption_resolution,[],[f1165,f790]) ).

fof(f1165,plain,
    ( c1_1(a603)
    | ~ c2_1(a603)
    | ~ spl0_44
    | spl0_109 ),
    inference(resolution,[],[f436,f785]) ).

fof(f436,plain,
    ( ! [X35] :
        ( c3_1(X35)
        | c1_1(X35)
        | ~ c2_1(X35) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f1160,plain,
    ( ~ spl0_43
    | spl0_121
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(avatar_contradiction_clause,[],[f1159]) ).

fof(f1159,plain,
    ( $false
    | ~ spl0_43
    | spl0_121
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f1158,f854]) ).

fof(f1158,plain,
    ( ~ c3_1(a598)
    | ~ spl0_43
    | spl0_121
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f1151,f849]) ).

fof(f1151,plain,
    ( c1_1(a598)
    | ~ c3_1(a598)
    | ~ spl0_43
    | ~ spl0_123 ),
    inference(resolution,[],[f431,f859]) ).

fof(f431,plain,
    ( ! [X32] :
        ( ~ c0_1(X32)
        | c1_1(X32)
        | ~ c3_1(X32) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f430,plain,
    ( spl0_43
  <=> ! [X32] :
        ( ~ c3_1(X32)
        | c1_1(X32)
        | ~ c0_1(X32) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1147,plain,
    ( ~ spl0_41
    | spl0_118
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f1146]) ).

fof(f1146,plain,
    ( $false
    | ~ spl0_41
    | spl0_118
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(subsumption_resolution,[],[f1145,f843]) ).

fof(f1145,plain,
    ( ~ c2_1(a599)
    | ~ spl0_41
    | spl0_118
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f1139,f833]) ).

fof(f1139,plain,
    ( c1_1(a599)
    | ~ c2_1(a599)
    | ~ spl0_41
    | ~ spl0_119 ),
    inference(resolution,[],[f422,f838]) ).

fof(f1132,plain,
    ( ~ spl0_111
    | spl0_156
    | ~ spl0_39
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1127,f783,f412,f1129,f793]) ).

fof(f1127,plain,
    ( c2_1(a603)
    | ~ c0_1(a603)
    | ~ spl0_39
    | spl0_109 ),
    inference(resolution,[],[f785,f413]) ).

fof(f1120,plain,
    ( ~ spl0_90
    | ~ spl0_39
    | spl0_88
    | spl0_89 ),
    inference(avatar_split_clause,[],[f1116,f676,f671,f412,f681]) ).

fof(f681,plain,
    ( spl0_90
  <=> c0_1(a629) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f671,plain,
    ( spl0_88
  <=> c3_1(a629) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f676,plain,
    ( spl0_89
  <=> c2_1(a629) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1116,plain,
    ( ~ c0_1(a629)
    | ~ spl0_39
    | spl0_88
    | spl0_89 ),
    inference(subsumption_resolution,[],[f1112,f678]) ).

fof(f678,plain,
    ( ~ c2_1(a629)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f1112,plain,
    ( c2_1(a629)
    | ~ c0_1(a629)
    | ~ spl0_39
    | spl0_88 ),
    inference(resolution,[],[f413,f673]) ).

fof(f673,plain,
    ( ~ c3_1(a629)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f1052,plain,
    ( ~ spl0_13
    | ~ spl0_26
    | ~ spl0_73
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(avatar_contradiction_clause,[],[f1051]) ).

fof(f1051,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_26
    | ~ spl0_73
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(subsumption_resolution,[],[f1050,f593]) ).

fof(f1050,plain,
    ( ~ c2_1(a583)
    | ~ spl0_13
    | ~ spl0_26
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(subsumption_resolution,[],[f1049,f598]) ).

fof(f1049,plain,
    ( ~ c1_1(a583)
    | ~ c2_1(a583)
    | ~ spl0_13
    | ~ spl0_26
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(resolution,[],[f1048,f297]) ).

fof(f1048,plain,
    ( c3_1(a583)
    | ~ spl0_26
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(subsumption_resolution,[],[f1045,f603]) ).

fof(f1045,plain,
    ( c3_1(a583)
    | ~ c0_1(a583)
    | ~ spl0_26
    | ~ spl0_74 ),
    inference(resolution,[],[f353,f598]) ).

fof(f1038,plain,
    ( ~ spl0_24
    | spl0_115
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(avatar_contradiction_clause,[],[f1037]) ).

fof(f1037,plain,
    ( $false
    | ~ spl0_24
    | spl0_115
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(subsumption_resolution,[],[f1036,f827]) ).

fof(f827,plain,
    ( c0_1(a600)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f825]) ).

fof(f825,plain,
    ( spl0_117
  <=> c0_1(a600) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1036,plain,
    ( ~ c0_1(a600)
    | ~ spl0_24
    | spl0_115
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f1034,f817]) ).

fof(f817,plain,
    ( ~ c3_1(a600)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f815,plain,
    ( spl0_115
  <=> c3_1(a600) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1034,plain,
    ( c3_1(a600)
    | ~ c0_1(a600)
    | ~ spl0_24
    | ~ spl0_116 ),
    inference(resolution,[],[f343,f822]) ).

fof(f822,plain,
    ( c2_1(a600)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f820,plain,
    ( spl0_116
  <=> c2_1(a600) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1031,plain,
    ( ~ spl0_13
    | ~ spl0_21
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(avatar_contradiction_clause,[],[f1030]) ).

fof(f1030,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_21
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(subsumption_resolution,[],[f1029,f593]) ).

fof(f1029,plain,
    ( ~ c2_1(a583)
    | ~ spl0_13
    | ~ spl0_21
    | ~ spl0_74 ),
    inference(resolution,[],[f1028,f598]) ).

fof(f1028,plain,
    ( ! [X6] :
        ( ~ c1_1(X6)
        | ~ c2_1(X6) )
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f330,f297]) ).

fof(f1027,plain,
    ( ~ spl0_16
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(avatar_contradiction_clause,[],[f1026]) ).

fof(f1026,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(subsumption_resolution,[],[f1025,f550]) ).

fof(f550,plain,
    ( c2_1(a678)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f548,plain,
    ( spl0_65
  <=> c2_1(a678) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1025,plain,
    ( ~ c2_1(a678)
    | ~ spl0_16
    | ~ spl0_64
    | ~ spl0_66 ),
    inference(subsumption_resolution,[],[f1024,f555]) ).

fof(f555,plain,
    ( c0_1(a678)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f553,plain,
    ( spl0_66
  <=> c0_1(a678) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1024,plain,
    ( ~ c0_1(a678)
    | ~ c2_1(a678)
    | ~ spl0_16
    | ~ spl0_64 ),
    inference(resolution,[],[f309,f545]) ).

fof(f545,plain,
    ( c3_1(a678)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f543,plain,
    ( spl0_64
  <=> c3_1(a678) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1020,plain,
    ( ~ spl0_3
    | spl0_153 ),
    inference(avatar_split_clause,[],[f8,f1017,f251]) ).

fof(f251,plain,
    ( spl0_3
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f8,plain,
    ( c1_1(a584)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp0
      | hskp21
      | hskp14 )
    & ( hskp17
      | hskp7
      | hskp29 )
    & ( hskp17
      | hskp22
      | hskp29 )
    & ( hskp11
      | hskp26 )
    & ( hskp8
      | hskp12
      | hskp26 )
    & ( hskp1
      | hskp10
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp12
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp19
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp29
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp29
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp29
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp7
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp14
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c0_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp27
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp4
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp3
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp3
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c1_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c2_1(X14)
          | ~ c0_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c1_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp15
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c0_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp21
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c0_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp5
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp26
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c0_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp0
      | ! [X20] :
          ( ~ c1_1(X20)
          | ~ c0_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp15
      | ! [X21] :
          ( ~ c1_1(X21)
          | ~ c0_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp25
      | ! [X22] :
          ( ~ c1_1(X22)
          | c3_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp8
      | ! [X23] :
          ( ~ c1_1(X23)
          | c3_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X24] :
          ( ~ c1_1(X24)
          | ~ c0_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c1_1(X25)
          | c3_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp3
      | ! [X26] :
          ( ~ c0_1(X26)
          | c3_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X27] :
          ( ~ c2_1(X27)
          | ~ c0_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c0_1(X28)
          | c3_1(X28)
          | c2_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp14
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c2_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X30] :
          ( ~ c2_1(X30)
          | ~ c1_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c3_1(X31)
          | ~ c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp11
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X33] :
          ( ~ c3_1(X33)
          | ~ c1_1(X33)
          | ~ c0_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c3_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X35] :
          ( ~ c2_1(X35)
          | c3_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X36] :
          ( ~ c3_1(X36)
          | ~ c0_1(X36)
          | c2_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( ! [X38] :
          ( ~ c3_1(X38)
          | ~ c2_1(X38)
          | ~ c0_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c1_1(X39)
          | ~ c0_1(X39)
          | c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X41] :
          ( ~ c0_1(X41)
          | c3_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c3_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp22
      | ! [X43] :
          ( ~ c0_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp28
      | ! [X44] :
          ( ~ c0_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp21
      | ! [X45] :
          ( ~ c0_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c0_1(X46)
          | c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c0_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X48] :
          ( ~ c2_1(X48)
          | ~ c0_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c3_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp10
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c2_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X51] :
          ( ~ c0_1(X51)
          | c3_1(X51)
          | c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c2_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp7
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c1_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X54] :
          ( ~ c2_1(X54)
          | ~ c1_1(X54)
          | c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c1_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X56] :
          ( ~ c1_1(X56)
          | ~ c0_1(X56)
          | c3_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c1_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c0_1(X58)
          | c2_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp19
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X61] :
          ( ~ c2_1(X61)
          | ~ c1_1(X61)
          | ~ c0_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( ! [X63] :
          ( ~ c3_1(X63)
          | ~ c2_1(X63)
          | ~ c0_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c3_1(X64)
          | c2_1(X64)
          | c1_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c1_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp8
      | ! [X66] :
          ( ~ c2_1(X66)
          | c3_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X67] :
          ( ~ c0_1(X67)
          | c2_1(X67)
          | c1_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c2_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( ~ c2_1(X69)
          | ~ c0_1(X69)
          | c3_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c2_1(X70)
          | c1_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c1_1(X71)
          | c3_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X72] :
          ( ~ c2_1(X72)
          | ~ c0_1(X72)
          | c3_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X74] :
          ( ~ c1_1(X74)
          | ~ c0_1(X74)
          | c2_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c3_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X76] :
          ( ~ c0_1(X76)
          | c3_1(X76)
          | c1_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp10
      | ! [X78] :
          ( ~ c1_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X79] :
          ( ~ c2_1(X79)
          | ~ c0_1(X79)
          | c1_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c1_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X81] :
          ( ~ c2_1(X81)
          | c3_1(X81)
          | c1_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c1_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp15
      | ! [X83] :
          ( c3_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp4
      | ! [X84] :
          ( c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X85] :
          ( c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X86] :
          ( ~ c3_1(X86)
          | ~ c2_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c3_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X88] :
          ( ~ c0_1(X88)
          | c2_1(X88)
          | c1_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c3_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X90] :
          ( ~ c3_1(X90)
          | ~ c2_1(X90)
          | c1_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c3_1(X91)
          | ~ c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c3_1(X92)
          | c2_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( ! [X93] :
          ( ~ c0_1(X93)
          | c2_1(X93)
          | c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c3_1(X94)
          | ~ c1_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | c2_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp8
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X97] :
          ( ~ c2_1(X97)
          | ~ c1_1(X97)
          | ~ c0_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c3_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X99] :
          ( c3_1(X99)
          | c2_1(X99)
          | c1_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c3_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X101] :
          ( ~ c2_1(X101)
          | ~ c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c3_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp2
      | ! [X103] :
          ( ~ c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp5
      | ! [X104] :
          ( ~ c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( ! [X105] :
          ( ~ c3_1(X105)
          | ~ c1_1(X105)
          | ~ c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c3_1(X106)
          | ~ c2_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( ~ c2_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X108] :
          ( c3_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X109] :
          ( ~ c2_1(X109)
          | c3_1(X109)
          | c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c3_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X111] :
          ( ~ c3_1(X111)
          | ~ c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c3_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( ! [X113] :
          ( ~ c0_1(X113)
          | c3_1(X113)
          | c2_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( ~ c1_1(X114)
          | c2_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c3_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp26
      | ! [X116] :
          ( c2_1(X116)
          | c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a678)
        & c2_1(a678)
        & c0_1(a678)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a612)
        & c2_1(a612)
        & c1_1(a612)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a611)
        & c1_1(a611)
        & c0_1(a611)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c2_1(a583)
        & c1_1(a583)
        & c0_1(a583)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a651)
        & ~ c1_1(a651)
        & c2_1(a651)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a648)
        & c1_1(a648)
        & c0_1(a648)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a636)
        & ~ c0_1(a636)
        & c3_1(a636)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a633)
        & ~ c0_1(a633)
        & c1_1(a633)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a629)
        & ~ c2_1(a629)
        & c0_1(a629)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a623)
        & ~ c2_1(a623)
        & ~ c1_1(a623)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a617)
        & ~ c0_1(a617)
        & c2_1(a617)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a610)
        & ~ c0_1(a610)
        & c3_1(a610)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a607)
        & ~ c1_1(a607)
        & c3_1(a607)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a606)
        & ~ c2_1(a606)
        & c1_1(a606)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a604)
        & c3_1(a604)
        & c1_1(a604)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a603)
        & ~ c1_1(a603)
        & c0_1(a603)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a601)
        & ~ c1_1(a601)
        & ~ c0_1(a601)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a600)
        & c2_1(a600)
        & c0_1(a600)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a599)
        & c3_1(a599)
        & c2_1(a599)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a598)
        & c3_1(a598)
        & c0_1(a598)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a595)
        & ~ c1_1(a595)
        & ~ c0_1(a595)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a593)
        & c3_1(a593)
        & c1_1(a593)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a592)
        & ~ c0_1(a592)
        & c2_1(a592)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c0_1(a590)
        & c3_1(a590)
        & c2_1(a590)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a589)
        & c1_1(a589)
        & c0_1(a589)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a588)
        & ~ c1_1(a588)
        & c0_1(a588)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a587)
        & c2_1(a587)
        & c0_1(a587)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a586)
        & c2_1(a586)
        & c1_1(a586)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c0_1(a585)
        & c2_1(a585)
        & c1_1(a585)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a584)
        & ~ c0_1(a584)
        & c1_1(a584)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp0
      | hskp21
      | hskp14 )
    & ( hskp17
      | hskp7
      | hskp29 )
    & ( hskp17
      | hskp22
      | hskp29 )
    & ( hskp11
      | hskp26 )
    & ( hskp8
      | hskp12
      | hskp26 )
    & ( hskp1
      | hskp10
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp12
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp19
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp29
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp29
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp29
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp7
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp14
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c0_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp27
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp4
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp3
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp3
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c1_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c2_1(X14)
          | ~ c0_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c1_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp15
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c0_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp21
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c0_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp5
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp26
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c0_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp0
      | ! [X20] :
          ( ~ c1_1(X20)
          | ~ c0_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp15
      | ! [X21] :
          ( ~ c1_1(X21)
          | ~ c0_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp25
      | ! [X22] :
          ( ~ c1_1(X22)
          | c3_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp8
      | ! [X23] :
          ( ~ c1_1(X23)
          | c3_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X24] :
          ( ~ c1_1(X24)
          | ~ c0_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c1_1(X25)
          | c3_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp3
      | ! [X26] :
          ( ~ c0_1(X26)
          | c3_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X27] :
          ( ~ c2_1(X27)
          | ~ c0_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c0_1(X28)
          | c3_1(X28)
          | c2_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp14
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c2_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X30] :
          ( ~ c2_1(X30)
          | ~ c1_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c3_1(X31)
          | ~ c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp11
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X33] :
          ( ~ c3_1(X33)
          | ~ c1_1(X33)
          | ~ c0_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c3_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X35] :
          ( ~ c2_1(X35)
          | c3_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X36] :
          ( ~ c3_1(X36)
          | ~ c0_1(X36)
          | c2_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( ! [X38] :
          ( ~ c3_1(X38)
          | ~ c2_1(X38)
          | ~ c0_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c1_1(X39)
          | ~ c0_1(X39)
          | c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X41] :
          ( ~ c0_1(X41)
          | c3_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c3_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp22
      | ! [X43] :
          ( ~ c0_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp28
      | ! [X44] :
          ( ~ c0_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp21
      | ! [X45] :
          ( ~ c0_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c0_1(X46)
          | c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c0_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X48] :
          ( ~ c2_1(X48)
          | ~ c0_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c3_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp10
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c2_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X51] :
          ( ~ c0_1(X51)
          | c3_1(X51)
          | c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c2_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp7
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c1_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X54] :
          ( ~ c2_1(X54)
          | ~ c1_1(X54)
          | c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c1_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X56] :
          ( ~ c1_1(X56)
          | ~ c0_1(X56)
          | c3_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c1_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c0_1(X58)
          | c2_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp19
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X61] :
          ( ~ c2_1(X61)
          | ~ c1_1(X61)
          | ~ c0_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( ! [X63] :
          ( ~ c3_1(X63)
          | ~ c2_1(X63)
          | ~ c0_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c3_1(X64)
          | c2_1(X64)
          | c1_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c1_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp8
      | ! [X66] :
          ( ~ c2_1(X66)
          | c3_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X67] :
          ( ~ c0_1(X67)
          | c2_1(X67)
          | c1_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c2_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( ~ c2_1(X69)
          | ~ c0_1(X69)
          | c3_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c2_1(X70)
          | c1_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c1_1(X71)
          | c3_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X72] :
          ( ~ c2_1(X72)
          | ~ c0_1(X72)
          | c3_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X74] :
          ( ~ c1_1(X74)
          | ~ c0_1(X74)
          | c2_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c3_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X76] :
          ( ~ c0_1(X76)
          | c3_1(X76)
          | c1_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp10
      | ! [X78] :
          ( ~ c1_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X79] :
          ( ~ c2_1(X79)
          | ~ c0_1(X79)
          | c1_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c1_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X81] :
          ( ~ c2_1(X81)
          | c3_1(X81)
          | c1_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c1_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp15
      | ! [X83] :
          ( c3_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp4
      | ! [X84] :
          ( c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X85] :
          ( c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X86] :
          ( ~ c3_1(X86)
          | ~ c2_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c3_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X88] :
          ( ~ c0_1(X88)
          | c2_1(X88)
          | c1_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c3_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X90] :
          ( ~ c3_1(X90)
          | ~ c2_1(X90)
          | c1_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c3_1(X91)
          | ~ c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c3_1(X92)
          | c2_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( ! [X93] :
          ( ~ c0_1(X93)
          | c2_1(X93)
          | c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c3_1(X94)
          | ~ c1_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | c2_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp8
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X97] :
          ( ~ c2_1(X97)
          | ~ c1_1(X97)
          | ~ c0_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c3_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X99] :
          ( c3_1(X99)
          | c2_1(X99)
          | c1_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c3_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X101] :
          ( ~ c2_1(X101)
          | ~ c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c3_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp2
      | ! [X103] :
          ( ~ c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp5
      | ! [X104] :
          ( ~ c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( ! [X105] :
          ( ~ c3_1(X105)
          | ~ c1_1(X105)
          | ~ c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c3_1(X106)
          | ~ c2_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( ~ c2_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X108] :
          ( c3_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X109] :
          ( ~ c2_1(X109)
          | c3_1(X109)
          | c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c3_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X111] :
          ( ~ c3_1(X111)
          | ~ c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c3_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( ! [X113] :
          ( ~ c0_1(X113)
          | c3_1(X113)
          | c2_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( ~ c1_1(X114)
          | c2_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c3_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp26
      | ! [X116] :
          ( c2_1(X116)
          | c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a678)
        & c2_1(a678)
        & c0_1(a678)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a612)
        & c2_1(a612)
        & c1_1(a612)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a611)
        & c1_1(a611)
        & c0_1(a611)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c2_1(a583)
        & c1_1(a583)
        & c0_1(a583)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a651)
        & ~ c1_1(a651)
        & c2_1(a651)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a648)
        & c1_1(a648)
        & c0_1(a648)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a636)
        & ~ c0_1(a636)
        & c3_1(a636)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a633)
        & ~ c0_1(a633)
        & c1_1(a633)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a629)
        & ~ c2_1(a629)
        & c0_1(a629)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a623)
        & ~ c2_1(a623)
        & ~ c1_1(a623)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a617)
        & ~ c0_1(a617)
        & c2_1(a617)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a610)
        & ~ c0_1(a610)
        & c3_1(a610)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a607)
        & ~ c1_1(a607)
        & c3_1(a607)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a606)
        & ~ c2_1(a606)
        & c1_1(a606)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a604)
        & c3_1(a604)
        & c1_1(a604)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a603)
        & ~ c1_1(a603)
        & c0_1(a603)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a601)
        & ~ c1_1(a601)
        & ~ c0_1(a601)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a600)
        & c2_1(a600)
        & c0_1(a600)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a599)
        & c3_1(a599)
        & c2_1(a599)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a598)
        & c3_1(a598)
        & c0_1(a598)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a595)
        & ~ c1_1(a595)
        & ~ c0_1(a595)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a593)
        & c3_1(a593)
        & c1_1(a593)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a592)
        & ~ c0_1(a592)
        & c2_1(a592)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c0_1(a590)
        & c3_1(a590)
        & c2_1(a590)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a589)
        & c1_1(a589)
        & c0_1(a589)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a588)
        & ~ c1_1(a588)
        & c0_1(a588)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a587)
        & c2_1(a587)
        & c0_1(a587)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a586)
        & c2_1(a586)
        & c1_1(a586)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c0_1(a585)
        & c2_1(a585)
        & c1_1(a585)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a584)
        & ~ c0_1(a584)
        & c1_1(a584)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp0
      | hskp21
      | hskp14 )
    & ( hskp17
      | hskp7
      | hskp29 )
    & ( hskp17
      | hskp22
      | hskp29 )
    & ( hskp11
      | hskp26 )
    & ( hskp8
      | hskp12
      | hskp26 )
    & ( hskp1
      | hskp10
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp10
      | hskp12
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp20
      | hskp19
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c1_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp14
      | hskp29
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp10
      | ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | ~ c2_1(X4)
            | ~ c1_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c1_1(X5)
            | ~ c0_1(X5) ) ) )
    & ( hskp18
      | hskp29
      | ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | ~ c1_1(X6)
            | c3_1(X6) ) ) )
    & ( hskp15
      | hskp29
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c1_1(X7)
            | c3_1(X7) ) ) )
    & ( hskp20
      | hskp7
      | ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | ~ c0_1(X8)
            | c3_1(X8) ) ) )
    & ( hskp22
      | hskp14
      | ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | ~ c0_1(X9)
            | c3_1(X9) ) ) )
    & ( hskp8
      | hskp27
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c0_1(X10)
            | c3_1(X10) ) ) )
    & ( hskp17
      | hskp4
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | ~ c0_1(X11)
            | c3_1(X11) ) ) )
    & ( hskp17
      | hskp3
      | ! [X12] :
          ( ndr1_0
         => ( ~ c1_1(X12)
            | ~ c0_1(X12)
            | c3_1(X12) ) ) )
    & ( hskp17
      | hskp3
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | ~ c1_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp14
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | ~ c2_1(X14)
            | ~ c0_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | ~ c1_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp11
      | hskp15
      | ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | ~ c0_1(X16)
            | c2_1(X16) ) ) )
    & ( hskp8
      | hskp21
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c0_1(X17)
            | c2_1(X17) ) ) )
    & ( hskp24
      | hskp5
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c0_1(X18)
            | c2_1(X18) ) ) )
    & ( hskp28
      | hskp26
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c0_1(X19)
            | c2_1(X19) ) ) )
    & ( hskp11
      | hskp0
      | ! [X20] :
          ( ndr1_0
         => ( ~ c1_1(X20)
            | ~ c0_1(X20)
            | c2_1(X20) ) ) )
    & ( hskp25
      | hskp15
      | ! [X21] :
          ( ndr1_0
         => ( ~ c1_1(X21)
            | ~ c0_1(X21)
            | c2_1(X21) ) ) )
    & ( hskp9
      | hskp25
      | ! [X22] :
          ( ndr1_0
         => ( ~ c1_1(X22)
            | c3_1(X22)
            | c2_1(X22) ) ) )
    & ( hskp6
      | hskp8
      | ! [X23] :
          ( ndr1_0
         => ( ~ c1_1(X23)
            | c3_1(X23)
            | c2_1(X23) ) ) )
    & ( hskp24
      | ! [X24] :
          ( ndr1_0
         => ( ~ c1_1(X24)
            | ~ c0_1(X24)
            | c2_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | c3_1(X25)
            | c2_1(X25) ) ) )
    & ( hskp16
      | hskp3
      | ! [X26] :
          ( ndr1_0
         => ( ~ c0_1(X26)
            | c3_1(X26)
            | c2_1(X26) ) ) )
    & ( hskp8
      | ! [X27] :
          ( ndr1_0
         => ( ~ c2_1(X27)
            | ~ c0_1(X27)
            | c3_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c0_1(X28)
            | c3_1(X28)
            | c2_1(X28) ) ) )
    & ( hskp23
      | hskp14
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | ~ c2_1(X29)
            | c1_1(X29) ) ) )
    & ( hskp28
      | ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | ~ c1_1(X30)
            | c3_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c3_1(X31)
            | ~ c2_1(X31)
            | c1_1(X31) ) ) )
    & ( hskp23
      | hskp11
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | ~ c0_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp15
      | ! [X33] :
          ( ndr1_0
         => ( ~ c3_1(X33)
            | ~ c1_1(X33)
            | ~ c0_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | ~ c0_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp4
      | hskp3
      | ! [X35] :
          ( ndr1_0
         => ( ~ c2_1(X35)
            | c3_1(X35)
            | c1_1(X35) ) ) )
    & ( hskp23
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | ~ c0_1(X36)
            | c2_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | c2_1(X37)
            | c1_1(X37) ) ) )
    & ( ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | ~ c2_1(X38)
            | ~ c0_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c1_1(X39)
            | ~ c0_1(X39)
            | c2_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) ) )
    & ( hskp3
      | ! [X41] :
          ( ndr1_0
         => ( ~ c0_1(X41)
            | c3_1(X41)
            | c1_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | c2_1(X42)
            | c1_1(X42) ) ) )
    & ( hskp6
      | hskp22
      | ! [X43] :
          ( ndr1_0
         => ( ~ c0_1(X43)
            | c2_1(X43)
            | c1_1(X43) ) ) )
    & ( hskp8
      | hskp28
      | ! [X44] :
          ( ndr1_0
         => ( ~ c0_1(X44)
            | c2_1(X44)
            | c1_1(X44) ) ) )
    & ( hskp11
      | hskp21
      | ! [X45] :
          ( ndr1_0
         => ( ~ c0_1(X45)
            | c2_1(X45)
            | c1_1(X45) ) ) )
    & ( hskp1
      | ! [X46] :
          ( ndr1_0
         => ( ~ c2_1(X46)
            | ~ c0_1(X46)
            | c3_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c0_1(X47)
            | c2_1(X47)
            | c1_1(X47) ) ) )
    & ( hskp26
      | ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | ~ c0_1(X48)
            | c1_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( c3_1(X49)
            | c2_1(X49)
            | c1_1(X49) ) ) )
    & ( hskp4
      | hskp10
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | ~ c2_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp16
      | ! [X51] :
          ( ndr1_0
         => ( ~ c0_1(X51)
            | c3_1(X51)
            | c2_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c2_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp20
      | hskp7
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c1_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp15
      | ! [X54] :
          ( ndr1_0
         => ( ~ c2_1(X54)
            | ~ c1_1(X54)
            | c3_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c1_1(X55)
            | c0_1(X55) ) ) )
    & ( hskp16
      | ! [X56] :
          ( ndr1_0
         => ( ~ c1_1(X56)
            | ~ c0_1(X56)
            | c3_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c1_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp8
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c0_1(X58)
            | c2_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c1_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp13
      | hskp19
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | ~ c1_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp12
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | ~ c1_1(X61)
            | ~ c0_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c2_1(X62)
            | ~ c1_1(X62)
            | c0_1(X62) ) ) )
    & ( ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c2_1(X63)
            | ~ c0_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | c2_1(X64)
            | c1_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | ~ c1_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp18
      | hskp8
      | ! [X66] :
          ( ndr1_0
         => ( ~ c2_1(X66)
            | c3_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp14
      | ! [X67] :
          ( ndr1_0
         => ( ~ c0_1(X67)
            | c2_1(X67)
            | c1_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | c3_1(X68)
            | c0_1(X68) ) ) )
    & ( ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | ~ c0_1(X69)
            | c3_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | ~ c2_1(X70)
            | c1_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c1_1(X71)
            | c3_1(X71)
            | c0_1(X71) ) ) )
    & ( hskp28
      | ! [X72] :
          ( ndr1_0
         => ( ~ c2_1(X72)
            | ~ c0_1(X72)
            | c3_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | c2_1(X73)
            | c0_1(X73) ) ) )
    & ( hskp27
      | ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | ~ c0_1(X74)
            | c2_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | c2_1(X75)
            | c0_1(X75) ) ) )
    & ( hskp18
      | ! [X76] :
          ( ndr1_0
         => ( ~ c0_1(X76)
            | c3_1(X76)
            | c1_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | c2_1(X77)
            | c0_1(X77) ) ) )
    & ( hskp7
      | hskp10
      | ! [X78] :
          ( ndr1_0
         => ( ~ c1_1(X78)
            | c2_1(X78)
            | c0_1(X78) ) ) )
    & ( hskp17
      | ! [X79] :
          ( ndr1_0
         => ( ~ c2_1(X79)
            | ~ c0_1(X79)
            | c1_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | c2_1(X80)
            | c0_1(X80) ) ) )
    & ( hskp16
      | ! [X81] :
          ( ndr1_0
         => ( ~ c2_1(X81)
            | c3_1(X81)
            | c1_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c1_1(X82)
            | c2_1(X82)
            | c0_1(X82) ) ) )
    & ( hskp13
      | hskp15
      | ! [X83] :
          ( ndr1_0
         => ( c3_1(X83)
            | c2_1(X83)
            | c0_1(X83) ) ) )
    & ( hskp14
      | hskp4
      | ! [X84] :
          ( ndr1_0
         => ( c3_1(X84)
            | c2_1(X84)
            | c0_1(X84) ) ) )
    & ( hskp13
      | hskp12
      | ! [X85] :
          ( ndr1_0
         => ( c3_1(X85)
            | c2_1(X85)
            | c0_1(X85) ) ) )
    & ( hskp11
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | ~ c2_1(X86)
            | ~ c0_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( c3_1(X87)
            | c2_1(X87)
            | c0_1(X87) ) ) )
    & ( hskp10
      | ! [X88] :
          ( ndr1_0
         => ( ~ c0_1(X88)
            | c2_1(X88)
            | c1_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( c3_1(X89)
            | c2_1(X89)
            | c0_1(X89) ) ) )
    & ( ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | ~ c2_1(X90)
            | c1_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | ~ c2_1(X91)
            | c0_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( c3_1(X92)
            | c2_1(X92)
            | c0_1(X92) ) ) )
    & ( ! [X93] :
          ( ndr1_0
         => ( ~ c0_1(X93)
            | c2_1(X93)
            | c1_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | ~ c1_1(X94)
            | c0_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( c3_1(X95)
            | c2_1(X95)
            | c0_1(X95) ) ) )
    & ( hskp6
      | hskp8
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | c1_1(X96)
            | c0_1(X96) ) ) )
    & ( hskp9
      | ! [X97] :
          ( ndr1_0
         => ( ~ c2_1(X97)
            | ~ c1_1(X97)
            | ~ c0_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | c1_1(X98)
            | c0_1(X98) ) ) )
    & ( hskp26
      | ! [X99] :
          ( ndr1_0
         => ( c3_1(X99)
            | c2_1(X99)
            | c1_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c3_1(X100)
            | c1_1(X100)
            | c0_1(X100) ) ) )
    & ( hskp8
      | ! [X101] :
          ( ndr1_0
         => ( ~ c2_1(X101)
            | ~ c1_1(X101)
            | c0_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | c1_1(X102)
            | c0_1(X102) ) ) )
    & ( hskp7
      | hskp2
      | ! [X103] :
          ( ndr1_0
         => ( ~ c2_1(X103)
            | c1_1(X103)
            | c0_1(X103) ) ) )
    & ( hskp6
      | hskp5
      | ! [X104] :
          ( ndr1_0
         => ( ~ c2_1(X104)
            | c1_1(X104)
            | c0_1(X104) ) ) )
    & ( ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | ~ c1_1(X105)
            | ~ c0_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c3_1(X106)
            | ~ c2_1(X106)
            | c0_1(X106) ) )
      | ! [X107] :
          ( ndr1_0
         => ( ~ c2_1(X107)
            | c1_1(X107)
            | c0_1(X107) ) ) )
    & ( hskp4
      | hskp3
      | ! [X108] :
          ( ndr1_0
         => ( c3_1(X108)
            | c1_1(X108)
            | c0_1(X108) ) ) )
    & ( hskp2
      | ! [X109] :
          ( ndr1_0
         => ( ~ c2_1(X109)
            | c3_1(X109)
            | c1_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( c3_1(X110)
            | c1_1(X110)
            | c0_1(X110) ) ) )
    & ( hskp1
      | ! [X111] :
          ( ndr1_0
         => ( ~ c3_1(X111)
            | ~ c1_1(X111)
            | c0_1(X111) ) )
      | ! [X112] :
          ( ndr1_0
         => ( c3_1(X112)
            | c1_1(X112)
            | c0_1(X112) ) ) )
    & ( ! [X113] :
          ( ndr1_0
         => ( ~ c0_1(X113)
            | c3_1(X113)
            | c2_1(X113) ) )
      | ! [X114] :
          ( ndr1_0
         => ( ~ c1_1(X114)
            | c2_1(X114)
            | c0_1(X114) ) )
      | ! [X115] :
          ( ndr1_0
         => ( c3_1(X115)
            | c1_1(X115)
            | c0_1(X115) ) ) )
    & ( hskp0
      | hskp26
      | ! [X116] :
          ( ndr1_0
         => ( c2_1(X116)
            | c1_1(X116)
            | c0_1(X116) ) ) )
    & ( ( c3_1(a678)
        & c2_1(a678)
        & c0_1(a678)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a612)
        & c2_1(a612)
        & c1_1(a612)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a611)
        & c1_1(a611)
        & c0_1(a611)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c2_1(a583)
        & c1_1(a583)
        & c0_1(a583)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a651)
        & ~ c1_1(a651)
        & c2_1(a651)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a648)
        & c1_1(a648)
        & c0_1(a648)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a636)
        & ~ c0_1(a636)
        & c3_1(a636)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a633)
        & ~ c0_1(a633)
        & c1_1(a633)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a629)
        & ~ c2_1(a629)
        & c0_1(a629)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a623)
        & ~ c2_1(a623)
        & ~ c1_1(a623)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a617)
        & ~ c0_1(a617)
        & c2_1(a617)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a610)
        & ~ c0_1(a610)
        & c3_1(a610)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a607)
        & ~ c1_1(a607)
        & c3_1(a607)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a606)
        & ~ c2_1(a606)
        & c1_1(a606)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a604)
        & c3_1(a604)
        & c1_1(a604)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a603)
        & ~ c1_1(a603)
        & c0_1(a603)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a601)
        & ~ c1_1(a601)
        & ~ c0_1(a601)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a600)
        & c2_1(a600)
        & c0_1(a600)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a599)
        & c3_1(a599)
        & c2_1(a599)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a598)
        & c3_1(a598)
        & c0_1(a598)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a595)
        & ~ c1_1(a595)
        & ~ c0_1(a595)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a593)
        & c3_1(a593)
        & c1_1(a593)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a592)
        & ~ c0_1(a592)
        & c2_1(a592)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c0_1(a590)
        & c3_1(a590)
        & c2_1(a590)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a589)
        & c1_1(a589)
        & c0_1(a589)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a588)
        & ~ c1_1(a588)
        & c0_1(a588)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a587)
        & c2_1(a587)
        & c0_1(a587)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a586)
        & c2_1(a586)
        & c1_1(a586)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c0_1(a585)
        & c2_1(a585)
        & c1_1(a585)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a584)
        & ~ c0_1(a584)
        & c1_1(a584)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp0
          | hskp21
          | hskp14 )
        & ( hskp17
          | hskp7
          | hskp29 )
        & ( hskp17
          | hskp22
          | hskp29 )
        & ( hskp11
          | hskp26 )
        & ( hskp8
          | hskp12
          | hskp26 )
        & ( hskp1
          | hskp10
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp10
          | hskp12
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp20
          | hskp19
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp14
          | hskp29
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp10
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c2_1(X4)
                | ~ c1_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c1_1(X5)
                | ~ c0_1(X5) ) ) )
        & ( hskp18
          | hskp29
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c1_1(X6)
                | c3_1(X6) ) ) )
        & ( hskp15
          | hskp29
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c1_1(X7)
                | c3_1(X7) ) ) )
        & ( hskp20
          | hskp7
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | ~ c0_1(X8)
                | c3_1(X8) ) ) )
        & ( hskp22
          | hskp14
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c0_1(X9)
                | c3_1(X9) ) ) )
        & ( hskp8
          | hskp27
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c0_1(X10)
                | c3_1(X10) ) ) )
        & ( hskp17
          | hskp4
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c3_1(X11) ) ) )
        & ( hskp17
          | hskp3
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | ~ c0_1(X12)
                | c3_1(X12) ) ) )
        & ( hskp17
          | hskp3
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c1_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp14
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c2_1(X14)
                | ~ c0_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c1_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp11
          | hskp15
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c0_1(X16)
                | c2_1(X16) ) ) )
        & ( hskp8
          | hskp21
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c0_1(X17)
                | c2_1(X17) ) ) )
        & ( hskp24
          | hskp5
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c0_1(X18)
                | c2_1(X18) ) ) )
        & ( hskp28
          | hskp26
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c0_1(X19)
                | c2_1(X19) ) ) )
        & ( hskp11
          | hskp0
          | ! [X20] :
              ( ndr1_0
             => ( ~ c1_1(X20)
                | ~ c0_1(X20)
                | c2_1(X20) ) ) )
        & ( hskp25
          | hskp15
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | ~ c0_1(X21)
                | c2_1(X21) ) ) )
        & ( hskp9
          | hskp25
          | ! [X22] :
              ( ndr1_0
             => ( ~ c1_1(X22)
                | c3_1(X22)
                | c2_1(X22) ) ) )
        & ( hskp6
          | hskp8
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | c3_1(X23)
                | c2_1(X23) ) ) )
        & ( hskp24
          | ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | ~ c0_1(X24)
                | c2_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c3_1(X25)
                | c2_1(X25) ) ) )
        & ( hskp16
          | hskp3
          | ! [X26] :
              ( ndr1_0
             => ( ~ c0_1(X26)
                | c3_1(X26)
                | c2_1(X26) ) ) )
        & ( hskp8
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | ~ c0_1(X27)
                | c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | c3_1(X28)
                | c2_1(X28) ) ) )
        & ( hskp23
          | hskp14
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c2_1(X29)
                | c1_1(X29) ) ) )
        & ( hskp28
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | ~ c1_1(X30)
                | c3_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | ~ c2_1(X31)
                | c1_1(X31) ) ) )
        & ( hskp23
          | hskp11
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c0_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp15
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c1_1(X33)
                | ~ c0_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c0_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp4
          | hskp3
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | c3_1(X35)
                | c1_1(X35) ) ) )
        & ( hskp23
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c0_1(X36)
                | c2_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c2_1(X38)
                | ~ c0_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | ~ c0_1(X39)
                | c2_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) ) )
        & ( hskp3
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | c3_1(X41)
                | c1_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | c2_1(X42)
                | c1_1(X42) ) ) )
        & ( hskp6
          | hskp22
          | ! [X43] :
              ( ndr1_0
             => ( ~ c0_1(X43)
                | c2_1(X43)
                | c1_1(X43) ) ) )
        & ( hskp8
          | hskp28
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | c2_1(X44)
                | c1_1(X44) ) ) )
        & ( hskp11
          | hskp21
          | ! [X45] :
              ( ndr1_0
             => ( ~ c0_1(X45)
                | c2_1(X45)
                | c1_1(X45) ) ) )
        & ( hskp1
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | ~ c0_1(X46)
                | c3_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c0_1(X47)
                | c2_1(X47)
                | c1_1(X47) ) ) )
        & ( hskp26
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | ~ c0_1(X48)
                | c1_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | c2_1(X49)
                | c1_1(X49) ) ) )
        & ( hskp4
          | hskp10
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp16
          | ! [X51] :
              ( ndr1_0
             => ( ~ c0_1(X51)
                | c3_1(X51)
                | c2_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c2_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp20
          | hskp7
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c1_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp15
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | ~ c1_1(X54)
                | c3_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c1_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp16
          | ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | ~ c0_1(X56)
                | c3_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp8
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c0_1(X58)
                | c2_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp13
          | hskp19
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp12
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c1_1(X61)
                | ~ c0_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | ~ c0_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | c2_1(X64)
                | c1_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c1_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp18
          | hskp8
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | c3_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp14
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c2_1(X67)
                | c1_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | c3_1(X68)
                | c0_1(X68) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | ~ c0_1(X69)
                | c3_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c2_1(X70)
                | c1_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c1_1(X71)
                | c3_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp28
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c0_1(X72)
                | c3_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c2_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp27
          | ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | ~ c0_1(X74)
                | c2_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c2_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp18
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | c3_1(X76)
                | c1_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c2_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp7
          | hskp10
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | c2_1(X78)
                | c0_1(X78) ) ) )
        & ( hskp17
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c0_1(X79)
                | c1_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | c2_1(X80)
                | c0_1(X80) ) ) )
        & ( hskp16
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | c3_1(X81)
                | c1_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | c2_1(X82)
                | c0_1(X82) ) ) )
        & ( hskp13
          | hskp15
          | ! [X83] :
              ( ndr1_0
             => ( c3_1(X83)
                | c2_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp14
          | hskp4
          | ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | c2_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp13
          | hskp12
          | ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | c2_1(X85)
                | c0_1(X85) ) ) )
        & ( hskp11
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c2_1(X86)
                | ~ c0_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | c2_1(X87)
                | c0_1(X87) ) ) )
        & ( hskp10
          | ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | c2_1(X88)
                | c1_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | c2_1(X89)
                | c0_1(X89) ) ) )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c2_1(X90)
                | c1_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c2_1(X91)
                | c0_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( c3_1(X92)
                | c2_1(X92)
                | c0_1(X92) ) ) )
        & ( ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | c2_1(X93)
                | c1_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c1_1(X94)
                | c0_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c3_1(X95)
                | c2_1(X95)
                | c0_1(X95) ) ) )
        & ( hskp6
          | hskp8
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | c1_1(X96)
                | c0_1(X96) ) ) )
        & ( hskp9
          | ! [X97] :
              ( ndr1_0
             => ( ~ c2_1(X97)
                | ~ c1_1(X97)
                | ~ c0_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | c1_1(X98)
                | c0_1(X98) ) ) )
        & ( hskp26
          | ! [X99] :
              ( ndr1_0
             => ( c3_1(X99)
                | c2_1(X99)
                | c1_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | c1_1(X100)
                | c0_1(X100) ) ) )
        & ( hskp8
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c1_1(X101)
                | c0_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | c1_1(X102)
                | c0_1(X102) ) ) )
        & ( hskp7
          | hskp2
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | c1_1(X103)
                | c0_1(X103) ) ) )
        & ( hskp6
          | hskp5
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | c1_1(X104)
                | c0_1(X104) ) ) )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c1_1(X105)
                | ~ c0_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c2_1(X106)
                | c0_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | c1_1(X107)
                | c0_1(X107) ) ) )
        & ( hskp4
          | hskp3
          | ! [X108] :
              ( ndr1_0
             => ( c3_1(X108)
                | c1_1(X108)
                | c0_1(X108) ) ) )
        & ( hskp2
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | c3_1(X109)
                | c1_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( c3_1(X110)
                | c1_1(X110)
                | c0_1(X110) ) ) )
        & ( hskp1
          | ! [X111] :
              ( ndr1_0
             => ( ~ c3_1(X111)
                | ~ c1_1(X111)
                | c0_1(X111) ) )
          | ! [X112] :
              ( ndr1_0
             => ( c3_1(X112)
                | c1_1(X112)
                | c0_1(X112) ) ) )
        & ( ! [X113] :
              ( ndr1_0
             => ( ~ c0_1(X113)
                | c3_1(X113)
                | c2_1(X113) ) )
          | ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | c2_1(X114)
                | c0_1(X114) ) )
          | ! [X115] :
              ( ndr1_0
             => ( c3_1(X115)
                | c1_1(X115)
                | c0_1(X115) ) ) )
        & ( hskp0
          | hskp26
          | ! [X116] :
              ( ndr1_0
             => ( c2_1(X116)
                | c1_1(X116)
                | c0_1(X116) ) ) )
        & ( ( c3_1(a678)
            & c2_1(a678)
            & c0_1(a678)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a612)
            & c2_1(a612)
            & c1_1(a612)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a611)
            & c1_1(a611)
            & c0_1(a611)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c2_1(a583)
            & c1_1(a583)
            & c0_1(a583)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a651)
            & ~ c1_1(a651)
            & c2_1(a651)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a648)
            & c1_1(a648)
            & c0_1(a648)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a636)
            & ~ c0_1(a636)
            & c3_1(a636)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a633)
            & ~ c0_1(a633)
            & c1_1(a633)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a629)
            & ~ c2_1(a629)
            & c0_1(a629)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a623)
            & ~ c2_1(a623)
            & ~ c1_1(a623)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c1_1(a617)
            & ~ c0_1(a617)
            & c2_1(a617)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a610)
            & ~ c0_1(a610)
            & c3_1(a610)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a607)
            & ~ c1_1(a607)
            & c3_1(a607)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a606)
            & ~ c2_1(a606)
            & c1_1(a606)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c0_1(a604)
            & c3_1(a604)
            & c1_1(a604)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a603)
            & ~ c1_1(a603)
            & c0_1(a603)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a601)
            & ~ c1_1(a601)
            & ~ c0_1(a601)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a600)
            & c2_1(a600)
            & c0_1(a600)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a599)
            & c3_1(a599)
            & c2_1(a599)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a598)
            & c3_1(a598)
            & c0_1(a598)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a595)
            & ~ c1_1(a595)
            & ~ c0_1(a595)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a593)
            & c3_1(a593)
            & c1_1(a593)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a592)
            & ~ c0_1(a592)
            & c2_1(a592)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c0_1(a590)
            & c3_1(a590)
            & c2_1(a590)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c2_1(a589)
            & c1_1(a589)
            & c0_1(a589)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a588)
            & ~ c1_1(a588)
            & c0_1(a588)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a587)
            & c2_1(a587)
            & c0_1(a587)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a586)
            & c2_1(a586)
            & c1_1(a586)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c0_1(a585)
            & c2_1(a585)
            & c1_1(a585)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a584)
            & ~ c0_1(a584)
            & c1_1(a584)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp0
          | hskp21
          | hskp14 )
        & ( hskp17
          | hskp7
          | hskp29 )
        & ( hskp17
          | hskp22
          | hskp29 )
        & ( hskp11
          | hskp26 )
        & ( hskp8
          | hskp12
          | hskp26 )
        & ( hskp1
          | hskp10
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c2_1(X116)
                | ~ c1_1(X116) ) ) )
        & ( hskp10
          | hskp12
          | ! [X115] :
              ( ndr1_0
             => ( ~ c3_1(X115)
                | ~ c2_1(X115)
                | ~ c0_1(X115) ) ) )
        & ( hskp20
          | hskp19
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c1_1(X114)
                | ~ c0_1(X114) ) ) )
        & ( hskp14
          | hskp29
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c1_1(X113)
                | ~ c0_1(X113) ) ) )
        & ( hskp10
          | ! [X112] :
              ( ndr1_0
             => ( ~ c3_1(X112)
                | ~ c2_1(X112)
                | ~ c1_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | ~ c1_1(X111)
                | ~ c0_1(X111) ) ) )
        & ( hskp18
          | hskp29
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c1_1(X110)
                | c3_1(X110) ) ) )
        & ( hskp15
          | hskp29
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c1_1(X109)
                | c3_1(X109) ) ) )
        & ( hskp20
          | hskp7
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | ~ c0_1(X108)
                | c3_1(X108) ) ) )
        & ( hskp22
          | hskp14
          | ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | ~ c0_1(X107)
                | c3_1(X107) ) ) )
        & ( hskp8
          | hskp27
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | ~ c0_1(X106)
                | c3_1(X106) ) ) )
        & ( hskp17
          | hskp4
          | ! [X105] :
              ( ndr1_0
             => ( ~ c1_1(X105)
                | ~ c0_1(X105)
                | c3_1(X105) ) ) )
        & ( hskp17
          | hskp3
          | ! [X104] :
              ( ndr1_0
             => ( ~ c1_1(X104)
                | ~ c0_1(X104)
                | c3_1(X104) ) ) )
        & ( hskp17
          | hskp3
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c1_1(X103)
                | c2_1(X103) ) ) )
        & ( hskp14
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | ~ c0_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c1_1(X101)
                | c2_1(X101) ) ) )
        & ( hskp11
          | hskp15
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c0_1(X100)
                | c2_1(X100) ) ) )
        & ( hskp8
          | hskp21
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c0_1(X99)
                | c2_1(X99) ) ) )
        & ( hskp24
          | hskp5
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c0_1(X98)
                | c2_1(X98) ) ) )
        & ( hskp28
          | hskp26
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c0_1(X97)
                | c2_1(X97) ) ) )
        & ( hskp11
          | hskp0
          | ! [X96] :
              ( ndr1_0
             => ( ~ c1_1(X96)
                | ~ c0_1(X96)
                | c2_1(X96) ) ) )
        & ( hskp25
          | hskp15
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | ~ c0_1(X95)
                | c2_1(X95) ) ) )
        & ( hskp9
          | hskp25
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | c3_1(X94)
                | c2_1(X94) ) ) )
        & ( hskp6
          | hskp8
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | c3_1(X93)
                | c2_1(X93) ) ) )
        & ( hskp24
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | ~ c0_1(X92)
                | c2_1(X92) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c1_1(X91)
                | c3_1(X91)
                | c2_1(X91) ) ) )
        & ( hskp16
          | hskp3
          | ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | c3_1(X90)
                | c2_1(X90) ) ) )
        & ( hskp8
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c0_1(X89)
                | c3_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | c3_1(X88)
                | c2_1(X88) ) ) )
        & ( hskp23
          | hskp14
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c2_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp28
          | ! [X86] :
              ( ndr1_0
             => ( ~ c2_1(X86)
                | ~ c1_1(X86)
                | c3_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c2_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp23
          | hskp11
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c0_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp15
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c1_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c0_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp4
          | hskp3
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | c3_1(X81)
                | c1_1(X81) ) ) )
        & ( hskp23
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c0_1(X80)
                | c2_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | c2_1(X79)
                | c1_1(X79) ) ) )
        & ( ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c2_1(X78)
                | ~ c0_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | ~ c0_1(X77)
                | c2_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp3
          | ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | c3_1(X75)
                | c1_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp6
          | hskp22
          | ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | c2_1(X73)
                | c1_1(X73) ) ) )
        & ( hskp8
          | hskp28
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp11
          | hskp21
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c2_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp1
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c0_1(X70)
                | c3_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | c2_1(X69)
                | c1_1(X69) ) ) )
        & ( hskp26
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c0_1(X68)
                | c1_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c3_1(X67)
                | c2_1(X67)
                | c1_1(X67) ) ) )
        & ( hskp4
          | hskp10
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp16
          | ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | c3_1(X65)
                | c2_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c2_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp20
          | hskp7
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c1_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp15
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c1_1(X62)
                | c3_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp16
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | ~ c0_1(X60)
                | c3_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp8
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c0_1(X58)
                | c2_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp13
          | hskp19
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp12
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c1_1(X55)
                | ~ c0_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c2_1(X53)
                | ~ c0_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | c2_1(X52)
                | c1_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp18
          | hskp8
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | c3_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp14
          | ! [X49] :
              ( ndr1_0
             => ( ~ c0_1(X49)
                | c2_1(X49)
                | c1_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | ~ c0_1(X47)
                | c3_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c2_1(X46)
                | c1_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | c3_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp28
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | ~ c0_1(X44)
                | c3_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp27
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | ~ c0_1(X42)
                | c2_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp18
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | c3_1(X40)
                | c1_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp7
          | hskp10
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp17
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c0_1(X37)
                | c1_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp16
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | c3_1(X35)
                | c1_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp13
          | hskp15
          | ! [X33] :
              ( ndr1_0
             => ( c3_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp14
          | hskp4
          | ! [X32] :
              ( ndr1_0
             => ( c3_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp13
          | hskp12
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp11
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | ~ c2_1(X30)
                | ~ c0_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | c2_1(X29)
                | c0_1(X29) ) ) )
        & ( hskp10
          | ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | c2_1(X28)
                | c1_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c2_1(X26)
                | c1_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c2_1(X25)
                | c0_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | c2_1(X24)
                | c0_1(X24) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | c2_1(X23)
                | c1_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c1_1(X22)
                | c0_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c3_1(X21)
                | c2_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp6
          | hskp8
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp9
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c1_1(X19)
                | ~ c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp26
          | ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | c2_1(X17)
                | c1_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp8
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | ~ c1_1(X15)
                | c0_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp7
          | hskp2
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp6
          | hskp5
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c1_1(X11)
                | ~ c0_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c2_1(X10)
                | c0_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( hskp4
          | hskp3
          | ! [X8] :
              ( ndr1_0
             => ( c3_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp2
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | c3_1(X7)
                | c1_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp1
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c1_1(X5)
                | c0_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( ~ c0_1(X3)
                | c3_1(X3)
                | c2_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( ~ c1_1(X2)
                | c2_1(X2)
                | c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) ) )
        & ( hskp0
          | hskp26
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a678)
            & c2_1(a678)
            & c0_1(a678)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a612)
            & c2_1(a612)
            & c1_1(a612)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a611)
            & c1_1(a611)
            & c0_1(a611)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c2_1(a583)
            & c1_1(a583)
            & c0_1(a583)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a651)
            & ~ c1_1(a651)
            & c2_1(a651)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a648)
            & c1_1(a648)
            & c0_1(a648)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a636)
            & ~ c0_1(a636)
            & c3_1(a636)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a633)
            & ~ c0_1(a633)
            & c1_1(a633)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a629)
            & ~ c2_1(a629)
            & c0_1(a629)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a623)
            & ~ c2_1(a623)
            & ~ c1_1(a623)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c1_1(a617)
            & ~ c0_1(a617)
            & c2_1(a617)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a610)
            & ~ c0_1(a610)
            & c3_1(a610)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a607)
            & ~ c1_1(a607)
            & c3_1(a607)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a606)
            & ~ c2_1(a606)
            & c1_1(a606)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c0_1(a604)
            & c3_1(a604)
            & c1_1(a604)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a603)
            & ~ c1_1(a603)
            & c0_1(a603)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a601)
            & ~ c1_1(a601)
            & ~ c0_1(a601)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a600)
            & c2_1(a600)
            & c0_1(a600)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a599)
            & c3_1(a599)
            & c2_1(a599)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a598)
            & c3_1(a598)
            & c0_1(a598)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a595)
            & ~ c1_1(a595)
            & ~ c0_1(a595)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a593)
            & c3_1(a593)
            & c1_1(a593)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a592)
            & ~ c0_1(a592)
            & c2_1(a592)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c0_1(a590)
            & c3_1(a590)
            & c2_1(a590)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c2_1(a589)
            & c1_1(a589)
            & c0_1(a589)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a588)
            & ~ c1_1(a588)
            & c0_1(a588)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a587)
            & c2_1(a587)
            & c0_1(a587)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a586)
            & c2_1(a586)
            & c1_1(a586)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c0_1(a585)
            & c2_1(a585)
            & c1_1(a585)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a584)
            & ~ c0_1(a584)
            & c1_1(a584)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp0
        | hskp21
        | hskp14 )
      & ( hskp17
        | hskp7
        | hskp29 )
      & ( hskp17
        | hskp22
        | hskp29 )
      & ( hskp11
        | hskp26 )
      & ( hskp8
        | hskp12
        | hskp26 )
      & ( hskp1
        | hskp10
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c2_1(X116)
              | ~ c1_1(X116) ) ) )
      & ( hskp10
        | hskp12
        | ! [X115] :
            ( ndr1_0
           => ( ~ c3_1(X115)
              | ~ c2_1(X115)
              | ~ c0_1(X115) ) ) )
      & ( hskp20
        | hskp19
        | ! [X114] :
            ( ndr1_0
           => ( ~ c3_1(X114)
              | ~ c1_1(X114)
              | ~ c0_1(X114) ) ) )
      & ( hskp14
        | hskp29
        | ! [X113] :
            ( ndr1_0
           => ( ~ c3_1(X113)
              | ~ c1_1(X113)
              | ~ c0_1(X113) ) ) )
      & ( hskp10
        | ! [X112] :
            ( ndr1_0
           => ( ~ c3_1(X112)
              | ~ c2_1(X112)
              | ~ c1_1(X112) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c2_1(X111)
              | ~ c1_1(X111)
              | ~ c0_1(X111) ) ) )
      & ( hskp18
        | hskp29
        | ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | ~ c1_1(X110)
              | c3_1(X110) ) ) )
      & ( hskp15
        | hskp29
        | ! [X109] :
            ( ndr1_0
           => ( ~ c2_1(X109)
              | ~ c1_1(X109)
              | c3_1(X109) ) ) )
      & ( hskp20
        | hskp7
        | ! [X108] :
            ( ndr1_0
           => ( ~ c2_1(X108)
              | ~ c0_1(X108)
              | c3_1(X108) ) ) )
      & ( hskp22
        | hskp14
        | ! [X107] :
            ( ndr1_0
           => ( ~ c2_1(X107)
              | ~ c0_1(X107)
              | c3_1(X107) ) ) )
      & ( hskp8
        | hskp27
        | ! [X106] :
            ( ndr1_0
           => ( ~ c2_1(X106)
              | ~ c0_1(X106)
              | c3_1(X106) ) ) )
      & ( hskp17
        | hskp4
        | ! [X105] :
            ( ndr1_0
           => ( ~ c1_1(X105)
              | ~ c0_1(X105)
              | c3_1(X105) ) ) )
      & ( hskp17
        | hskp3
        | ! [X104] :
            ( ndr1_0
           => ( ~ c1_1(X104)
              | ~ c0_1(X104)
              | c3_1(X104) ) ) )
      & ( hskp17
        | hskp3
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c1_1(X103)
              | c2_1(X103) ) ) )
      & ( hskp14
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | ~ c0_1(X102) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c1_1(X101)
              | c2_1(X101) ) ) )
      & ( hskp11
        | hskp15
        | ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c0_1(X100)
              | c2_1(X100) ) ) )
      & ( hskp8
        | hskp21
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c0_1(X99)
              | c2_1(X99) ) ) )
      & ( hskp24
        | hskp5
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c0_1(X98)
              | c2_1(X98) ) ) )
      & ( hskp28
        | hskp26
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c0_1(X97)
              | c2_1(X97) ) ) )
      & ( hskp11
        | hskp0
        | ! [X96] :
            ( ndr1_0
           => ( ~ c1_1(X96)
              | ~ c0_1(X96)
              | c2_1(X96) ) ) )
      & ( hskp25
        | hskp15
        | ! [X95] :
            ( ndr1_0
           => ( ~ c1_1(X95)
              | ~ c0_1(X95)
              | c2_1(X95) ) ) )
      & ( hskp9
        | hskp25
        | ! [X94] :
            ( ndr1_0
           => ( ~ c1_1(X94)
              | c3_1(X94)
              | c2_1(X94) ) ) )
      & ( hskp6
        | hskp8
        | ! [X93] :
            ( ndr1_0
           => ( ~ c1_1(X93)
              | c3_1(X93)
              | c2_1(X93) ) ) )
      & ( hskp24
        | ! [X92] :
            ( ndr1_0
           => ( ~ c1_1(X92)
              | ~ c0_1(X92)
              | c2_1(X92) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c1_1(X91)
              | c3_1(X91)
              | c2_1(X91) ) ) )
      & ( hskp16
        | hskp3
        | ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | c3_1(X90)
              | c2_1(X90) ) ) )
      & ( hskp8
        | ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | ~ c0_1(X89)
              | c3_1(X89) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c0_1(X88)
              | c3_1(X88)
              | c2_1(X88) ) ) )
      & ( hskp23
        | hskp14
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c2_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp28
        | ! [X86] :
            ( ndr1_0
           => ( ~ c2_1(X86)
              | ~ c1_1(X86)
              | c3_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c2_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp23
        | hskp11
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c0_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp15
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c1_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c0_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp4
        | hskp3
        | ! [X81] :
            ( ndr1_0
           => ( ~ c2_1(X81)
              | c3_1(X81)
              | c1_1(X81) ) ) )
      & ( hskp23
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c0_1(X80)
              | c2_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | c2_1(X79)
              | c1_1(X79) ) ) )
      & ( ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | ~ c2_1(X78)
              | ~ c0_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c1_1(X77)
              | ~ c0_1(X77)
              | c2_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | c2_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp3
        | ! [X75] :
            ( ndr1_0
           => ( ~ c0_1(X75)
              | c3_1(X75)
              | c1_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | c2_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp6
        | hskp22
        | ! [X73] :
            ( ndr1_0
           => ( ~ c0_1(X73)
              | c2_1(X73)
              | c1_1(X73) ) ) )
      & ( hskp8
        | hskp28
        | ! [X72] :
            ( ndr1_0
           => ( ~ c0_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp11
        | hskp21
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | c2_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp1
        | ! [X70] :
            ( ndr1_0
           => ( ~ c2_1(X70)
              | ~ c0_1(X70)
              | c3_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c0_1(X69)
              | c2_1(X69)
              | c1_1(X69) ) ) )
      & ( hskp26
        | ! [X68] :
            ( ndr1_0
           => ( ~ c2_1(X68)
              | ~ c0_1(X68)
              | c1_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c3_1(X67)
              | c2_1(X67)
              | c1_1(X67) ) ) )
      & ( hskp4
        | hskp10
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c2_1(X66)
              | c0_1(X66) ) ) )
      & ( hskp16
        | ! [X65] :
            ( ndr1_0
           => ( ~ c0_1(X65)
              | c3_1(X65)
              | c2_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c2_1(X64)
              | c0_1(X64) ) ) )
      & ( hskp20
        | hskp7
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c1_1(X63)
              | c0_1(X63) ) ) )
      & ( hskp15
        | ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | ~ c1_1(X62)
              | c3_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c1_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp16
        | ! [X60] :
            ( ndr1_0
           => ( ~ c1_1(X60)
              | ~ c0_1(X60)
              | c3_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c1_1(X59)
              | c0_1(X59) ) ) )
      & ( hskp8
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c0_1(X58)
              | c2_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c1_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp13
        | hskp19
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | ~ c1_1(X56)
              | c0_1(X56) ) ) )
      & ( hskp12
        | ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | ~ c1_1(X55)
              | ~ c0_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | ~ c1_1(X54)
              | c0_1(X54) ) ) )
      & ( ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | ~ c2_1(X53)
              | ~ c0_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | c2_1(X52)
              | c1_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | ~ c1_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp18
        | hskp8
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | c3_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp14
        | ! [X49] :
            ( ndr1_0
           => ( ~ c0_1(X49)
              | c2_1(X49)
              | c1_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | c3_1(X48)
              | c0_1(X48) ) ) )
      & ( ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | ~ c0_1(X47)
              | c3_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | ~ c2_1(X46)
              | c1_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c1_1(X45)
              | c3_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp28
        | ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | ~ c0_1(X44)
              | c3_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp27
        | ! [X42] :
            ( ndr1_0
           => ( ~ c1_1(X42)
              | ~ c0_1(X42)
              | c2_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp18
        | ! [X40] :
            ( ndr1_0
           => ( ~ c0_1(X40)
              | c3_1(X40)
              | c1_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp7
        | hskp10
        | ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp17
        | ! [X37] :
            ( ndr1_0
           => ( ~ c2_1(X37)
              | ~ c0_1(X37)
              | c1_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp16
        | ! [X35] :
            ( ndr1_0
           => ( ~ c2_1(X35)
              | c3_1(X35)
              | c1_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c1_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp13
        | hskp15
        | ! [X33] :
            ( ndr1_0
           => ( c3_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp14
        | hskp4
        | ! [X32] :
            ( ndr1_0
           => ( c3_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp13
        | hskp12
        | ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp11
        | ! [X30] :
            ( ndr1_0
           => ( ~ c3_1(X30)
              | ~ c2_1(X30)
              | ~ c0_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c3_1(X29)
              | c2_1(X29)
              | c0_1(X29) ) ) )
      & ( hskp10
        | ! [X28] :
            ( ndr1_0
           => ( ~ c0_1(X28)
              | c2_1(X28)
              | c1_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) ) )
      & ( ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | ~ c2_1(X26)
              | c1_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c3_1(X25)
              | ~ c2_1(X25)
              | c0_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c3_1(X24)
              | c2_1(X24)
              | c0_1(X24) ) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( ~ c0_1(X23)
              | c2_1(X23)
              | c1_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | ~ c1_1(X22)
              | c0_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c3_1(X21)
              | c2_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp6
        | hskp8
        | ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp9
        | ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | ~ c1_1(X19)
              | ~ c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp26
        | ! [X17] :
            ( ndr1_0
           => ( c3_1(X17)
              | c2_1(X17)
              | c1_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp8
        | ! [X15] :
            ( ndr1_0
           => ( ~ c2_1(X15)
              | ~ c1_1(X15)
              | c0_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c3_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp7
        | hskp2
        | ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( hskp6
        | hskp5
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( ~ c3_1(X11)
              | ~ c1_1(X11)
              | ~ c0_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | ~ c2_1(X10)
              | c0_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( hskp4
        | hskp3
        | ! [X8] :
            ( ndr1_0
           => ( c3_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp2
        | ! [X7] :
            ( ndr1_0
           => ( ~ c2_1(X7)
              | c3_1(X7)
              | c1_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp1
        | ! [X5] :
            ( ndr1_0
           => ( ~ c3_1(X5)
              | ~ c1_1(X5)
              | c0_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( ~ c0_1(X3)
              | c3_1(X3)
              | c2_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( ~ c1_1(X2)
              | c2_1(X2)
              | c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) ) )
      & ( hskp0
        | hskp26
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a678)
          & c2_1(a678)
          & c0_1(a678)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a612)
          & c2_1(a612)
          & c1_1(a612)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a611)
          & c1_1(a611)
          & c0_1(a611)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( c2_1(a583)
          & c1_1(a583)
          & c0_1(a583)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a651)
          & ~ c1_1(a651)
          & c2_1(a651)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a648)
          & c1_1(a648)
          & c0_1(a648)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c1_1(a636)
          & ~ c0_1(a636)
          & c3_1(a636)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a633)
          & ~ c0_1(a633)
          & c1_1(a633)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a629)
          & ~ c2_1(a629)
          & c0_1(a629)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a623)
          & ~ c2_1(a623)
          & ~ c1_1(a623)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c1_1(a617)
          & ~ c0_1(a617)
          & c2_1(a617)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a610)
          & ~ c0_1(a610)
          & c3_1(a610)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c2_1(a607)
          & ~ c1_1(a607)
          & c3_1(a607)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a606)
          & ~ c2_1(a606)
          & c1_1(a606)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c0_1(a604)
          & c3_1(a604)
          & c1_1(a604)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c3_1(a603)
          & ~ c1_1(a603)
          & c0_1(a603)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c2_1(a601)
          & ~ c1_1(a601)
          & ~ c0_1(a601)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a600)
          & c2_1(a600)
          & c0_1(a600)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c1_1(a599)
          & c3_1(a599)
          & c2_1(a599)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c1_1(a598)
          & c3_1(a598)
          & c0_1(a598)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a595)
          & ~ c1_1(a595)
          & ~ c0_1(a595)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c2_1(a593)
          & c3_1(a593)
          & c1_1(a593)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a592)
          & ~ c0_1(a592)
          & c2_1(a592)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c0_1(a590)
          & c3_1(a590)
          & c2_1(a590)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c2_1(a589)
          & c1_1(a589)
          & c0_1(a589)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c2_1(a588)
          & ~ c1_1(a588)
          & c0_1(a588)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c1_1(a587)
          & c2_1(a587)
          & c0_1(a587)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a586)
          & c2_1(a586)
          & c1_1(a586)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c0_1(a585)
          & c2_1(a585)
          & c1_1(a585)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a584)
          & ~ c0_1(a584)
          & c1_1(a584)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f1015,plain,
    ( ~ spl0_3
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f9,f1012,f251]) ).

fof(f9,plain,
    ( ~ c0_1(a584)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1010,plain,
    ( ~ spl0_3
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f10,f1007,f251]) ).

fof(f10,plain,
    ( ~ c2_1(a584)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1004,plain,
    ( ~ spl0_15
    | spl0_150 ),
    inference(avatar_split_clause,[],[f12,f1001,f303]) ).

fof(f303,plain,
    ( spl0_15
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f12,plain,
    ( c1_1(a585)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f999,plain,
    ( ~ spl0_15
    | spl0_149 ),
    inference(avatar_split_clause,[],[f13,f996,f303]) ).

fof(f13,plain,
    ( c2_1(a585)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f994,plain,
    ( ~ spl0_15
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f14,f991,f303]) ).

fof(f14,plain,
    ( ~ c0_1(a585)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f988,plain,
    ( ~ spl0_61
    | spl0_147 ),
    inference(avatar_split_clause,[],[f16,f985,f525]) ).

fof(f525,plain,
    ( spl0_61
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f16,plain,
    ( c1_1(a586)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f978,plain,
    ( ~ spl0_61
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f18,f975,f525]) ).

fof(f18,plain,
    ( ~ c3_1(a586)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f972,plain,
    ( ~ spl0_28
    | spl0_144 ),
    inference(avatar_split_clause,[],[f20,f969,f360]) ).

fof(f360,plain,
    ( spl0_28
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f20,plain,
    ( c0_1(a587)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f967,plain,
    ( ~ spl0_28
    | spl0_143 ),
    inference(avatar_split_clause,[],[f21,f964,f360]) ).

fof(f21,plain,
    ( c2_1(a587)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f962,plain,
    ( ~ spl0_28
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f22,f959,f360]) ).

fof(f22,plain,
    ( ~ c1_1(a587)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f956,plain,
    ( ~ spl0_27
    | spl0_141 ),
    inference(avatar_split_clause,[],[f24,f953,f355]) ).

fof(f355,plain,
    ( spl0_27
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f24,plain,
    ( c0_1(a588)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f951,plain,
    ( ~ spl0_27
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f25,f948,f355]) ).

fof(f25,plain,
    ( ~ c1_1(a588)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f946,plain,
    ( ~ spl0_27
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f26,f943,f355]) ).

fof(f26,plain,
    ( ~ c2_1(a588)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f940,plain,
    ( ~ spl0_31
    | spl0_138 ),
    inference(avatar_split_clause,[],[f28,f937,f375]) ).

fof(f375,plain,
    ( spl0_31
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f28,plain,
    ( c0_1(a589)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f935,plain,
    ( ~ spl0_31
    | spl0_137 ),
    inference(avatar_split_clause,[],[f29,f932,f375]) ).

fof(f29,plain,
    ( c1_1(a589)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f930,plain,
    ( ~ spl0_31
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f30,f927,f375]) ).

fof(f30,plain,
    ( ~ c2_1(a589)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f924,plain,
    ( ~ spl0_38
    | spl0_135 ),
    inference(avatar_split_clause,[],[f32,f921,f406]) ).

fof(f406,plain,
    ( spl0_38
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f32,plain,
    ( c2_1(a590)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f919,plain,
    ( ~ spl0_38
    | spl0_134 ),
    inference(avatar_split_clause,[],[f33,f916,f406]) ).

fof(f33,plain,
    ( c3_1(a590)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f914,plain,
    ( ~ spl0_38
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f34,f911,f406]) ).

fof(f34,plain,
    ( ~ c0_1(a590)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f908,plain,
    ( ~ spl0_5
    | spl0_132 ),
    inference(avatar_split_clause,[],[f36,f905,f260]) ).

fof(f260,plain,
    ( spl0_5
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f36,plain,
    ( c2_1(a592)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f903,plain,
    ( ~ spl0_5
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f37,f900,f260]) ).

fof(f37,plain,
    ( ~ c0_1(a592)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f898,plain,
    ( ~ spl0_5
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f38,f895,f260]) ).

fof(f38,plain,
    ( ~ c3_1(a592)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f893,plain,
    ( ~ spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f39,f292,f287]) ).

fof(f287,plain,
    ( spl0_11
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f292,plain,
    ( spl0_12
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

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

fof(f892,plain,
    ( ~ spl0_11
    | spl0_129 ),
    inference(avatar_split_clause,[],[f40,f889,f287]) ).

fof(f40,plain,
    ( c1_1(a593)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f887,plain,
    ( ~ spl0_11
    | spl0_128 ),
    inference(avatar_split_clause,[],[f41,f884,f287]) ).

fof(f41,plain,
    ( c3_1(a593)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f882,plain,
    ( ~ spl0_11
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f42,f879,f287]) ).

fof(f42,plain,
    ( ~ c2_1(a593)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f876,plain,
    ( ~ spl0_37
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f44,f873,f401]) ).

fof(f401,plain,
    ( spl0_37
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f44,plain,
    ( ~ c0_1(a595)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f871,plain,
    ( ~ spl0_37
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f45,f868,f401]) ).

fof(f45,plain,
    ( ~ c1_1(a595)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f866,plain,
    ( ~ spl0_37
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f46,f863,f401]) ).

fof(f46,plain,
    ( ~ c3_1(a595)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f860,plain,
    ( ~ spl0_14
    | spl0_123 ),
    inference(avatar_split_clause,[],[f48,f857,f299]) ).

fof(f299,plain,
    ( spl0_14
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f48,plain,
    ( c0_1(a598)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f855,plain,
    ( ~ spl0_14
    | spl0_122 ),
    inference(avatar_split_clause,[],[f49,f852,f299]) ).

fof(f49,plain,
    ( c3_1(a598)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f850,plain,
    ( ~ spl0_14
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f50,f847,f299]) ).

fof(f50,plain,
    ( ~ c1_1(a598)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f844,plain,
    ( ~ spl0_9
    | spl0_120 ),
    inference(avatar_split_clause,[],[f52,f841,f278]) ).

fof(f278,plain,
    ( spl0_9
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f52,plain,
    ( c2_1(a599)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f839,plain,
    ( ~ spl0_9
    | spl0_119 ),
    inference(avatar_split_clause,[],[f53,f836,f278]) ).

fof(f53,plain,
    ( c3_1(a599)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f834,plain,
    ( ~ spl0_9
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f54,f831,f278]) ).

fof(f54,plain,
    ( ~ c1_1(a599)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f829,plain,
    ( ~ spl0_10
    | spl0_12 ),
    inference(avatar_split_clause,[],[f55,f292,f283]) ).

fof(f283,plain,
    ( spl0_10
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f55,plain,
    ( ndr1_0
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f828,plain,
    ( ~ spl0_10
    | spl0_117 ),
    inference(avatar_split_clause,[],[f56,f825,f283]) ).

fof(f56,plain,
    ( c0_1(a600)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f823,plain,
    ( ~ spl0_10
    | spl0_116 ),
    inference(avatar_split_clause,[],[f57,f820,f283]) ).

fof(f57,plain,
    ( c2_1(a600)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f818,plain,
    ( ~ spl0_10
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f58,f815,f283]) ).

fof(f58,plain,
    ( ~ c3_1(a600)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f812,plain,
    ( ~ spl0_53
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f60,f809,f477]) ).

fof(f477,plain,
    ( spl0_53
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f60,plain,
    ( ~ c0_1(a601)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f802,plain,
    ( ~ spl0_53
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f62,f799,f477]) ).

fof(f62,plain,
    ( ~ c2_1(a601)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f796,plain,
    ( ~ spl0_1
    | spl0_111 ),
    inference(avatar_split_clause,[],[f64,f793,f243]) ).

fof(f243,plain,
    ( spl0_1
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f64,plain,
    ( c0_1(a603)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f791,plain,
    ( ~ spl0_1
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f65,f788,f243]) ).

fof(f65,plain,
    ( ~ c1_1(a603)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f786,plain,
    ( ~ spl0_1
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f66,f783,f243]) ).

fof(f66,plain,
    ( ~ c3_1(a603)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f780,plain,
    ( ~ spl0_23
    | spl0_108 ),
    inference(avatar_split_clause,[],[f68,f777,f337]) ).

fof(f337,plain,
    ( spl0_23
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f68,plain,
    ( c1_1(a604)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f775,plain,
    ( ~ spl0_23
    | spl0_107 ),
    inference(avatar_split_clause,[],[f69,f772,f337]) ).

fof(f69,plain,
    ( c3_1(a604)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f770,plain,
    ( ~ spl0_23
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f70,f767,f337]) ).

fof(f70,plain,
    ( ~ c0_1(a604)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f764,plain,
    ( ~ spl0_40
    | spl0_105 ),
    inference(avatar_split_clause,[],[f72,f761,f415]) ).

fof(f415,plain,
    ( spl0_40
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f72,plain,
    ( c1_1(a606)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f759,plain,
    ( ~ spl0_40
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f73,f756,f415]) ).

fof(f73,plain,
    ( ~ c2_1(a606)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f754,plain,
    ( ~ spl0_40
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f74,f751,f415]) ).

fof(f74,plain,
    ( ~ c3_1(a606)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f748,plain,
    ( ~ spl0_6
    | spl0_102 ),
    inference(avatar_split_clause,[],[f76,f745,f264]) ).

fof(f264,plain,
    ( spl0_6
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f76,plain,
    ( c3_1(a607)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f743,plain,
    ( ~ spl0_6
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f77,f740,f264]) ).

fof(f77,plain,
    ( ~ c1_1(a607)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f738,plain,
    ( ~ spl0_6
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f78,f735,f264]) ).

fof(f78,plain,
    ( ~ c2_1(a607)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f732,plain,
    ( ~ spl0_22
    | spl0_99 ),
    inference(avatar_split_clause,[],[f80,f729,f332]) ).

fof(f332,plain,
    ( spl0_22
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f80,plain,
    ( c3_1(a610)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f727,plain,
    ( ~ spl0_22
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f81,f724,f332]) ).

fof(f81,plain,
    ( ~ c0_1(a610)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f722,plain,
    ( ~ spl0_22
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f82,f719,f332]) ).

fof(f82,plain,
    ( ~ c2_1(a610)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f716,plain,
    ( ~ spl0_18
    | spl0_96 ),
    inference(avatar_split_clause,[],[f84,f713,f315]) ).

fof(f315,plain,
    ( spl0_18
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f84,plain,
    ( c2_1(a617)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f711,plain,
    ( ~ spl0_18
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f85,f708,f315]) ).

fof(f85,plain,
    ( ~ c0_1(a617)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f706,plain,
    ( ~ spl0_18
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f86,f703,f315]) ).

fof(f86,plain,
    ( ~ c1_1(a617)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f700,plain,
    ( ~ spl0_19
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f88,f697,f319]) ).

fof(f319,plain,
    ( spl0_19
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f88,plain,
    ( ~ c1_1(a623)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f695,plain,
    ( ~ spl0_19
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f89,f692,f319]) ).

fof(f89,plain,
    ( ~ c2_1(a623)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f690,plain,
    ( ~ spl0_19
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f90,f687,f319]) ).

fof(f90,plain,
    ( ~ c3_1(a623)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f684,plain,
    ( ~ spl0_2
    | spl0_90 ),
    inference(avatar_split_clause,[],[f92,f681,f247]) ).

fof(f247,plain,
    ( spl0_2
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f92,plain,
    ( c0_1(a629)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f679,plain,
    ( ~ spl0_2
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f93,f676,f247]) ).

fof(f93,plain,
    ( ~ c2_1(a629)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f674,plain,
    ( ~ spl0_2
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f94,f671,f247]) ).

fof(f94,plain,
    ( ~ c3_1(a629)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f668,plain,
    ( ~ spl0_7
    | spl0_87 ),
    inference(avatar_split_clause,[],[f96,f665,f269]) ).

fof(f269,plain,
    ( spl0_7
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f96,plain,
    ( c1_1(a633)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f663,plain,
    ( ~ spl0_7
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f97,f660,f269]) ).

fof(f97,plain,
    ( ~ c0_1(a633)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f658,plain,
    ( ~ spl0_7
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f98,f655,f269]) ).

fof(f98,plain,
    ( ~ c3_1(a633)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f652,plain,
    ( ~ spl0_42
    | spl0_84 ),
    inference(avatar_split_clause,[],[f100,f649,f424]) ).

fof(f424,plain,
    ( spl0_42
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f100,plain,
    ( c3_1(a636)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f647,plain,
    ( ~ spl0_42
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f101,f644,f424]) ).

fof(f101,plain,
    ( ~ c0_1(a636)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f642,plain,
    ( ~ spl0_42
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f102,f639,f424]) ).

fof(f102,plain,
    ( ~ c1_1(a636)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f620,plain,
    ( ~ spl0_35
    | spl0_78 ),
    inference(avatar_split_clause,[],[f108,f617,f393]) ).

fof(f393,plain,
    ( spl0_35
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f108,plain,
    ( c2_1(a651)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f615,plain,
    ( ~ spl0_35
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f109,f612,f393]) ).

fof(f109,plain,
    ( ~ c1_1(a651)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f610,plain,
    ( ~ spl0_35
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f110,f607,f393]) ).

fof(f110,plain,
    ( ~ c3_1(a651)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f605,plain,
    ( ~ spl0_8
    | spl0_12 ),
    inference(avatar_split_clause,[],[f111,f292,f274]) ).

fof(f274,plain,
    ( spl0_8
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f111,plain,
    ( ndr1_0
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f604,plain,
    ( ~ spl0_8
    | spl0_75 ),
    inference(avatar_split_clause,[],[f112,f601,f274]) ).

fof(f112,plain,
    ( c0_1(a583)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f599,plain,
    ( ~ spl0_8
    | spl0_74 ),
    inference(avatar_split_clause,[],[f113,f596,f274]) ).

fof(f113,plain,
    ( c1_1(a583)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f594,plain,
    ( ~ spl0_8
    | spl0_73 ),
    inference(avatar_split_clause,[],[f114,f591,f274]) ).

fof(f114,plain,
    ( c2_1(a583)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f588,plain,
    ( ~ spl0_25
    | spl0_72 ),
    inference(avatar_split_clause,[],[f116,f585,f347]) ).

fof(f347,plain,
    ( spl0_25
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f116,plain,
    ( c0_1(a611)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f583,plain,
    ( ~ spl0_25
    | spl0_71 ),
    inference(avatar_split_clause,[],[f117,f580,f347]) ).

fof(f117,plain,
    ( c1_1(a611)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f578,plain,
    ( ~ spl0_25
    | spl0_70 ),
    inference(avatar_split_clause,[],[f118,f575,f347]) ).

fof(f118,plain,
    ( c3_1(a611)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f572,plain,
    ( ~ spl0_33
    | spl0_69 ),
    inference(avatar_split_clause,[],[f120,f569,f384]) ).

fof(f384,plain,
    ( spl0_33
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f120,plain,
    ( c1_1(a612)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f567,plain,
    ( ~ spl0_33
    | spl0_68 ),
    inference(avatar_split_clause,[],[f121,f564,f384]) ).

fof(f121,plain,
    ( c2_1(a612)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f562,plain,
    ( ~ spl0_33
    | spl0_67 ),
    inference(avatar_split_clause,[],[f122,f559,f384]) ).

fof(f122,plain,
    ( c3_1(a612)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f556,plain,
    ( ~ spl0_4
    | spl0_66 ),
    inference(avatar_split_clause,[],[f124,f553,f256]) ).

fof(f256,plain,
    ( spl0_4
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f124,plain,
    ( c0_1(a678)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f551,plain,
    ( ~ spl0_4
    | spl0_65 ),
    inference(avatar_split_clause,[],[f125,f548,f256]) ).

fof(f125,plain,
    ( c2_1(a678)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f546,plain,
    ( ~ spl0_4
    | spl0_64 ),
    inference(avatar_split_clause,[],[f126,f543,f256]) ).

fof(f126,plain,
    ( c3_1(a678)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f535,plain,
    ( spl0_62
    | ~ spl0_12
    | spl0_44
    | spl0_61 ),
    inference(avatar_split_clause,[],[f209,f525,f435,f292,f532]) ).

fof(f209,plain,
    ! [X109,X110] :
      ( hskp2
      | ~ c2_1(X109)
      | c3_1(X109)
      | c1_1(X109)
      | ~ ndr1_0
      | c3_1(X110)
      | c1_1(X110)
      | c0_1(X110) ),
    inference(duplicate_literal_removal,[],[f130]) ).

fof(f130,plain,
    ! [X109,X110] :
      ( hskp2
      | ~ c2_1(X109)
      | c3_1(X109)
      | c1_1(X109)
      | ~ ndr1_0
      | c3_1(X110)
      | c1_1(X110)
      | c0_1(X110)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f530,plain,
    ( spl0_60
    | spl0_50
    | ~ spl0_12
    | spl0_17 ),
    inference(avatar_split_clause,[],[f210,f312,f292,f462,f522]) ).

fof(f210,plain,
    ! [X106,X107,X105] :
      ( ~ c3_1(X105)
      | ~ c1_1(X105)
      | ~ c0_1(X105)
      | ~ ndr1_0
      | ~ c3_1(X106)
      | ~ c2_1(X106)
      | c0_1(X106)
      | ~ c2_1(X107)
      | c1_1(X107)
      | c0_1(X107) ),
    inference(duplicate_literal_removal,[],[f132]) ).

fof(f132,plain,
    ! [X106,X107,X105] :
      ( ~ c3_1(X105)
      | ~ c1_1(X105)
      | ~ c0_1(X105)
      | ~ ndr1_0
      | ~ c3_1(X106)
      | ~ c2_1(X106)
      | c0_1(X106)
      | ~ ndr1_0
      | ~ c2_1(X107)
      | c1_1(X107)
      | c0_1(X107)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f529,plain,
    ( ~ spl0_12
    | spl0_60
    | spl0_31
    | spl0_38 ),
    inference(avatar_split_clause,[],[f133,f406,f375,f522,f292]) ).

fof(f133,plain,
    ! [X104] :
      ( hskp6
      | hskp5
      | ~ c2_1(X104)
      | c1_1(X104)
      | c0_1(X104)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f528,plain,
    ( ~ spl0_12
    | spl0_60
    | spl0_61
    | spl0_5 ),
    inference(avatar_split_clause,[],[f134,f260,f525,f522,f292]) ).

fof(f134,plain,
    ! [X103] :
      ( hskp7
      | hskp2
      | ~ c2_1(X103)
      | c1_1(X103)
      | c0_1(X103)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f520,plain,
    ( spl0_59
    | ~ spl0_12
    | spl0_52
    | spl0_11 ),
    inference(avatar_split_clause,[],[f211,f287,f474,f292,f515]) ).

fof(f211,plain,
    ! [X101,X102] :
      ( hskp8
      | ~ c2_1(X101)
      | ~ c1_1(X101)
      | c0_1(X101)
      | ~ ndr1_0
      | ~ c3_1(X102)
      | c1_1(X102)
      | c0_1(X102) ),
    inference(duplicate_literal_removal,[],[f135]) ).

fof(f135,plain,
    ! [X101,X102] :
      ( hskp8
      | ~ c2_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(f518,plain,
    ( spl0_59
    | ~ spl0_12
    | spl0_20
    | spl0_37 ),
    inference(avatar_split_clause,[],[f213,f401,f325,f292,f515]) ).

fof(f213,plain,
    ! [X98,X97] :
      ( hskp9
      | ~ c2_1(X97)
      | ~ c1_1(X97)
      | ~ c0_1(X97)
      | ~ ndr1_0
      | ~ c3_1(X98)
      | c1_1(X98)
      | c0_1(X98) ),
    inference(duplicate_literal_removal,[],[f137]) ).

fof(f137,plain,
    ! [X98,X97] :
      ( hskp9
      | ~ c2_1(X97)
      | ~ c1_1(X97)
      | ~ c0_1(X97)
      | ~ ndr1_0
      | ~ c3_1(X98)
      | c1_1(X98)
      | c0_1(X98)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f517,plain,
    ( ~ spl0_12
    | spl0_59
    | spl0_11
    | spl0_38 ),
    inference(avatar_split_clause,[],[f138,f406,f287,f515,f292]) ).

fof(f138,plain,
    ! [X96] :
      ( hskp6
      | hskp8
      | ~ c3_1(X96)
      | c1_1(X96)
      | c0_1(X96)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f513,plain,
    ( spl0_58
    | spl0_51
    | ~ spl0_12
    | spl0_47 ),
    inference(avatar_split_clause,[],[f214,f448,f292,f467,f505]) ).

fof(f214,plain,
    ! [X94,X95,X93] :
      ( ~ c0_1(X93)
      | c2_1(X93)
      | c1_1(X93)
      | ~ ndr1_0
      | ~ c3_1(X94)
      | ~ c1_1(X94)
      | c0_1(X94)
      | c3_1(X95)
      | c2_1(X95)
      | c0_1(X95) ),
    inference(duplicate_literal_removal,[],[f139]) ).

fof(f139,plain,
    ! [X94,X95,X93] :
      ( ~ c0_1(X93)
      | c2_1(X93)
      | c1_1(X93)
      | ~ ndr1_0
      | ~ c3_1(X94)
      | ~ c1_1(X94)
      | c0_1(X94)
      | ~ ndr1_0
      | c3_1(X95)
      | c2_1(X95)
      | c0_1(X95)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f511,plain,
    ( spl0_58
    | ~ spl0_12
    | spl0_47
    | spl0_14 ),
    inference(avatar_split_clause,[],[f216,f299,f448,f292,f505]) ).

fof(f216,plain,
    ! [X88,X89] :
      ( hskp10
      | ~ c0_1(X88)
      | c2_1(X88)
      | c1_1(X88)
      | ~ ndr1_0
      | c3_1(X89)
      | c2_1(X89)
      | c0_1(X89) ),
    inference(duplicate_literal_removal,[],[f141]) ).

fof(f141,plain,
    ! [X88,X89] :
      ( hskp10
      | ~ c0_1(X88)
      | c2_1(X88)
      | c1_1(X88)
      | ~ ndr1_0
      | c3_1(X89)
      | c2_1(X89)
      | c0_1(X89)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f510,plain,
    ( spl0_58
    | ~ spl0_12
    | spl0_16
    | spl0_9 ),
    inference(avatar_split_clause,[],[f217,f278,f308,f292,f505]) ).

fof(f217,plain,
    ! [X86,X87] :
      ( hskp11
      | ~ c3_1(X86)
      | ~ c2_1(X86)
      | ~ c0_1(X86)
      | ~ ndr1_0
      | c3_1(X87)
      | c2_1(X87)
      | c0_1(X87) ),
    inference(duplicate_literal_removal,[],[f142]) ).

fof(f142,plain,
    ! [X86,X87] :
      ( hskp11
      | ~ c3_1(X86)
      | ~ c2_1(X86)
      | ~ c0_1(X86)
      | ~ ndr1_0
      | c3_1(X87)
      | c2_1(X87)
      | c0_1(X87)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f508,plain,
    ( ~ spl0_12
    | spl0_58
    | spl0_27
    | spl0_1 ),
    inference(avatar_split_clause,[],[f144,f243,f355,f505,f292]) ).

fof(f144,plain,
    ! [X84] :
      ( hskp14
      | hskp4
      | c3_1(X84)
      | c2_1(X84)
      | c0_1(X84)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f503,plain,
    ( spl0_57
    | ~ spl0_12
    | spl0_44
    | spl0_40 ),
    inference(avatar_split_clause,[],[f218,f415,f435,f292,f499]) ).

fof(f218,plain,
    ! [X82,X81] :
      ( hskp16
      | ~ c2_1(X81)
      | c3_1(X81)
      | c1_1(X81)
      | ~ ndr1_0
      | ~ c1_1(X82)
      | c2_1(X82)
      | c0_1(X82) ),
    inference(duplicate_literal_removal,[],[f146]) ).

fof(f146,plain,
    ! [X82,X81] :
      ( hskp16
      | ~ c2_1(X81)
      | c3_1(X81)
      | c1_1(X81)
      | ~ ndr1_0
      | ~ c1_1(X82)
      | c2_1(X82)
      | c0_1(X82)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f502,plain,
    ( spl0_57
    | ~ spl0_12
    | spl0_49
    | spl0_6 ),
    inference(avatar_split_clause,[],[f219,f264,f458,f292,f499]) ).

fof(f219,plain,
    ! [X80,X79] :
      ( hskp17
      | ~ c2_1(X79)
      | ~ c0_1(X79)
      | c1_1(X79)
      | ~ ndr1_0
      | ~ c1_1(X80)
      | c2_1(X80)
      | c0_1(X80) ),
    inference(duplicate_literal_removal,[],[f147]) ).

fof(f147,plain,
    ! [X80,X79] :
      ( hskp17
      | ~ c2_1(X79)
      | ~ c0_1(X79)
      | c1_1(X79)
      | ~ ndr1_0
      | ~ c1_1(X80)
      | c2_1(X80)
      | c0_1(X80)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f497,plain,
    ( spl0_56
    | ~ spl0_12
    | spl0_46
    | spl0_22 ),
    inference(avatar_split_clause,[],[f220,f332,f444,f292,f493]) ).

fof(f220,plain,
    ! [X76,X77] :
      ( hskp18
      | ~ c0_1(X76)
      | c3_1(X76)
      | c1_1(X76)
      | ~ ndr1_0
      | ~ c3_1(X77)
      | c2_1(X77)
      | c0_1(X77) ),
    inference(duplicate_literal_removal,[],[f149]) ).

fof(f149,plain,
    ! [X76,X77] :
      ( hskp18
      | ~ c0_1(X76)
      | c3_1(X76)
      | c1_1(X76)
      | ~ ndr1_0
      | ~ c3_1(X77)
      | c2_1(X77)
      | c0_1(X77)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f496,plain,
    ( spl0_56
    | ~ spl0_12
    | spl0_34
    | spl0_25 ),
    inference(avatar_split_clause,[],[f221,f347,f389,f292,f493]) ).

fof(f221,plain,
    ! [X74,X75] :
      ( hskp27
      | ~ c1_1(X74)
      | ~ c0_1(X74)
      | c2_1(X74)
      | ~ ndr1_0
      | ~ c3_1(X75)
      | c2_1(X75)
      | c0_1(X75) ),
    inference(duplicate_literal_removal,[],[f150]) ).

fof(f150,plain,
    ! [X74,X75] :
      ( hskp27
      | ~ c1_1(X74)
      | ~ c0_1(X74)
      | c2_1(X74)
      | ~ ndr1_0
      | ~ c3_1(X75)
      | c2_1(X75)
      | c0_1(X75)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f495,plain,
    ( spl0_56
    | ~ spl0_12
    | spl0_24
    | spl0_33 ),
    inference(avatar_split_clause,[],[f222,f384,f342,f292,f493]) ).

fof(f222,plain,
    ! [X72,X73] :
      ( hskp28
      | ~ c2_1(X72)
      | ~ c0_1(X72)
      | c3_1(X72)
      | ~ ndr1_0
      | ~ c3_1(X73)
      | c2_1(X73)
      | c0_1(X73) ),
    inference(duplicate_literal_removal,[],[f151]) ).

fof(f151,plain,
    ! [X72,X73] :
      ( hskp28
      | ~ c2_1(X72)
      | ~ c0_1(X72)
      | c3_1(X72)
      | ~ ndr1_0
      | ~ c3_1(X73)
      | c2_1(X73)
      | c0_1(X73)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f491,plain,
    ( spl0_55
    | spl0_41
    | ~ spl0_12
    | spl0_24 ),
    inference(avatar_split_clause,[],[f223,f342,f292,f421,f489]) ).

fof(f223,plain,
    ! [X70,X71,X69] :
      ( ~ c2_1(X69)
      | ~ c0_1(X69)
      | c3_1(X69)
      | ~ ndr1_0
      | ~ c3_1(X70)
      | ~ c2_1(X70)
      | c1_1(X70)
      | ~ c1_1(X71)
      | c3_1(X71)
      | c0_1(X71) ),
    inference(duplicate_literal_removal,[],[f152]) ).

fof(f152,plain,
    ! [X70,X71,X69] :
      ( ~ c2_1(X69)
      | ~ c0_1(X69)
      | c3_1(X69)
      | ~ ndr1_0
      | ~ c3_1(X70)
      | ~ c2_1(X70)
      | c1_1(X70)
      | ~ ndr1_0
      | ~ c1_1(X71)
      | c3_1(X71)
      | c0_1(X71)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f487,plain,
    ( spl0_54
    | ~ spl0_12
    | spl0_47
    | spl0_1 ),
    inference(avatar_split_clause,[],[f224,f243,f448,f292,f484]) ).

fof(f224,plain,
    ! [X68,X67] :
      ( hskp14
      | ~ c0_1(X67)
      | c2_1(X67)
      | c1_1(X67)
      | ~ ndr1_0
      | ~ c2_1(X68)
      | c3_1(X68)
      | c0_1(X68) ),
    inference(duplicate_literal_removal,[],[f153]) ).

fof(f153,plain,
    ! [X68,X67] :
      ( hskp14
      | ~ c0_1(X67)
      | c2_1(X67)
      | c1_1(X67)
      | ~ ndr1_0
      | ~ c2_1(X68)
      | c3_1(X68)
      | c0_1(X68)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f486,plain,
    ( ~ spl0_12
    | spl0_54
    | spl0_11
    | spl0_22 ),
    inference(avatar_split_clause,[],[f154,f332,f287,f484,f292]) ).

fof(f154,plain,
    ! [X66] :
      ( hskp18
      | hskp8
      | ~ c2_1(X66)
      | c3_1(X66)
      | c0_1(X66)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f482,plain,
    ( spl0_52
    | spl0_45
    | ~ spl0_12
    | spl0_16 ),
    inference(avatar_split_clause,[],[f225,f308,f292,f439,f474]) ).

fof(f225,plain,
    ! [X65,X63,X64] :
      ( ~ c3_1(X63)
      | ~ c2_1(X63)
      | ~ c0_1(X63)
      | ~ ndr1_0
      | ~ c3_1(X64)
      | c2_1(X64)
      | c1_1(X64)
      | ~ c2_1(X65)
      | ~ c1_1(X65)
      | c0_1(X65) ),
    inference(duplicate_literal_removal,[],[f155]) ).

fof(f155,plain,
    ! [X65,X63,X64] :
      ( ~ c3_1(X63)
      | ~ c2_1(X63)
      | ~ c0_1(X63)
      | ~ ndr1_0
      | ~ c3_1(X64)
      | c2_1(X64)
      | c1_1(X64)
      | ~ ndr1_0
      | ~ c2_1(X65)
      | ~ c1_1(X65)
      | c0_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f481,plain,
    ( spl0_52
    | ~ spl0_12
    | spl0_20
    | spl0_10 ),
    inference(avatar_split_clause,[],[f226,f283,f325,f292,f474]) ).

fof(f226,plain,
    ! [X62,X61] :
      ( hskp12
      | ~ c2_1(X61)
      | ~ c1_1(X61)
      | ~ c0_1(X61)
      | ~ ndr1_0
      | ~ c2_1(X62)
      | ~ c1_1(X62)
      | c0_1(X62) ),
    inference(duplicate_literal_removal,[],[f156]) ).

fof(f156,plain,
    ! [X62,X61] :
      ( hskp12
      | ~ c2_1(X61)
      | ~ c1_1(X61)
      | ~ c0_1(X61)
      | ~ ndr1_0
      | ~ c2_1(X62)
      | ~ c1_1(X62)
      | c0_1(X62)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f480,plain,
    ( ~ spl0_12
    | spl0_52
    | spl0_18
    | spl0_53 ),
    inference(avatar_split_clause,[],[f157,f477,f315,f474,f292]) ).

fof(f157,plain,
    ! [X60] :
      ( hskp13
      | hskp19
      | ~ c2_1(X60)
      | ~ c1_1(X60)
      | c0_1(X60)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f472,plain,
    ( spl0_51
    | ~ spl0_12
    | spl0_30
    | spl0_11 ),
    inference(avatar_split_clause,[],[f227,f287,f370,f292,f467]) ).

fof(f227,plain,
    ! [X58,X59] :
      ( hskp8
      | ~ c3_1(X58)
      | ~ c0_1(X58)
      | c2_1(X58)
      | ~ ndr1_0
      | ~ c3_1(X59)
      | ~ c1_1(X59)
      | c0_1(X59) ),
    inference(duplicate_literal_removal,[],[f158]) ).

fof(f158,plain,
    ! [X58,X59] :
      ( hskp8
      | ~ c3_1(X58)
      | ~ c0_1(X58)
      | c2_1(X58)
      | ~ ndr1_0
      | ~ c3_1(X59)
      | ~ c1_1(X59)
      | c0_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f471,plain,
    ( spl0_51
    | ~ spl0_12
    | spl0_26
    | spl0_40 ),
    inference(avatar_split_clause,[],[f228,f415,f352,f292,f467]) ).

fof(f228,plain,
    ! [X56,X57] :
      ( hskp16
      | ~ c1_1(X56)
      | ~ c0_1(X56)
      | c3_1(X56)
      | ~ ndr1_0
      | ~ c3_1(X57)
      | ~ c1_1(X57)
      | c0_1(X57) ),
    inference(duplicate_literal_removal,[],[f159]) ).

fof(f159,plain,
    ! [X56,X57] :
      ( hskp16
      | ~ c1_1(X56)
      | ~ c0_1(X56)
      | c3_1(X56)
      | ~ ndr1_0
      | ~ c3_1(X57)
      | ~ c1_1(X57)
      | c0_1(X57)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f469,plain,
    ( ~ spl0_12
    | spl0_51
    | spl0_5
    | spl0_19 ),
    inference(avatar_split_clause,[],[f161,f319,f260,f467,f292]) ).

fof(f161,plain,
    ! [X53] :
      ( hskp20
      | hskp7
      | ~ c3_1(X53)
      | ~ c1_1(X53)
      | c0_1(X53)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f465,plain,
    ( spl0_50
    | ~ spl0_12
    | spl0_39
    | spl0_40 ),
    inference(avatar_split_clause,[],[f230,f415,f412,f292,f462]) ).

fof(f230,plain,
    ! [X51,X52] :
      ( hskp16
      | ~ c0_1(X51)
      | c3_1(X51)
      | c2_1(X51)
      | ~ ndr1_0
      | ~ c3_1(X52)
      | ~ c2_1(X52)
      | c0_1(X52) ),
    inference(duplicate_literal_removal,[],[f162]) ).

fof(f162,plain,
    ! [X51,X52] :
      ( hskp16
      | ~ c0_1(X51)
      | c3_1(X51)
      | c2_1(X51)
      | ~ ndr1_0
      | ~ c3_1(X52)
      | ~ c2_1(X52)
      | c0_1(X52)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f464,plain,
    ( ~ spl0_12
    | spl0_50
    | spl0_14
    | spl0_27 ),
    inference(avatar_split_clause,[],[f163,f355,f299,f462,f292]) ).

fof(f163,plain,
    ! [X50] :
      ( hskp4
      | hskp10
      | ~ c3_1(X50)
      | ~ c2_1(X50)
      | c0_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f460,plain,
    ( spl0_48
    | ~ spl0_12
    | spl0_49
    | spl0_8 ),
    inference(avatar_split_clause,[],[f231,f274,f458,f292,f455]) ).

fof(f231,plain,
    ! [X48,X49] :
      ( hskp26
      | ~ c2_1(X48)
      | ~ c0_1(X48)
      | c1_1(X48)
      | ~ ndr1_0
      | c3_1(X49)
      | c2_1(X49)
      | c1_1(X49) ),
    inference(duplicate_literal_removal,[],[f164]) ).

fof(f164,plain,
    ! [X48,X49] :
      ( hskp26
      | ~ c2_1(X48)
      | ~ c0_1(X48)
      | c1_1(X48)
      | ~ ndr1_0
      | c3_1(X49)
      | c2_1(X49)
      | c1_1(X49)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f453,plain,
    ( spl0_47
    | ~ spl0_12
    | spl0_24
    | spl0_15 ),
    inference(avatar_split_clause,[],[f232,f303,f342,f292,f448]) ).

fof(f232,plain,
    ! [X46,X47] :
      ( hskp1
      | ~ c2_1(X46)
      | ~ c0_1(X46)
      | c3_1(X46)
      | ~ ndr1_0
      | ~ c0_1(X47)
      | c2_1(X47)
      | c1_1(X47) ),
    inference(duplicate_literal_removal,[],[f165]) ).

fof(f165,plain,
    ! [X46,X47] :
      ( hskp1
      | ~ c2_1(X46)
      | ~ c0_1(X46)
      | c3_1(X46)
      | ~ ndr1_0
      | ~ c0_1(X47)
      | c2_1(X47)
      | c1_1(X47)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f452,plain,
    ( ~ spl0_12
    | spl0_47
    | spl0_2
    | spl0_9 ),
    inference(avatar_split_clause,[],[f166,f278,f247,f448,f292]) ).

fof(f166,plain,
    ! [X45] :
      ( hskp11
      | hskp21
      | ~ c0_1(X45)
      | c2_1(X45)
      | c1_1(X45)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f451,plain,
    ( ~ spl0_12
    | spl0_47
    | spl0_33
    | spl0_11 ),
    inference(avatar_split_clause,[],[f167,f287,f384,f448,f292]) ).

fof(f167,plain,
    ! [X44] :
      ( hskp8
      | hskp28
      | ~ c0_1(X44)
      | c2_1(X44)
      | c1_1(X44)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f450,plain,
    ( ~ spl0_12
    | spl0_47
    | spl0_7
    | spl0_38 ),
    inference(avatar_split_clause,[],[f168,f406,f269,f448,f292]) ).

fof(f168,plain,
    ! [X43] :
      ( hskp6
      | hskp22
      | ~ c0_1(X43)
      | c2_1(X43)
      | c1_1(X43)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f446,plain,
    ( spl0_45
    | ~ spl0_12
    | spl0_46
    | spl0_28 ),
    inference(avatar_split_clause,[],[f233,f360,f444,f292,f439]) ).

fof(f233,plain,
    ! [X41,X42] :
      ( hskp3
      | ~ c0_1(X41)
      | c3_1(X41)
      | c1_1(X41)
      | ~ ndr1_0
      | ~ c3_1(X42)
      | c2_1(X42)
      | c1_1(X42) ),
    inference(duplicate_literal_removal,[],[f169]) ).

fof(f169,plain,
    ! [X41,X42] :
      ( hskp3
      | ~ c0_1(X41)
      | c3_1(X41)
      | c1_1(X41)
      | ~ ndr1_0
      | ~ c3_1(X42)
      | c2_1(X42)
      | c1_1(X42)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f442,plain,
    ( spl0_45
    | spl0_34
    | ~ spl0_12
    | spl0_16 ),
    inference(avatar_split_clause,[],[f234,f308,f292,f389,f439]) ).

fof(f234,plain,
    ! [X40,X38,X39] :
      ( ~ c3_1(X38)
      | ~ c2_1(X38)
      | ~ c0_1(X38)
      | ~ ndr1_0
      | ~ c1_1(X39)
      | ~ c0_1(X39)
      | c2_1(X39)
      | ~ c3_1(X40)
      | c2_1(X40)
      | c1_1(X40) ),
    inference(duplicate_literal_removal,[],[f170]) ).

fof(f170,plain,
    ! [X40,X38,X39] :
      ( ~ c3_1(X38)
      | ~ c2_1(X38)
      | ~ c0_1(X38)
      | ~ ndr1_0
      | ~ c1_1(X39)
      | ~ c0_1(X39)
      | c2_1(X39)
      | ~ ndr1_0
      | ~ c3_1(X40)
      | c2_1(X40)
      | c1_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f441,plain,
    ( spl0_45
    | ~ spl0_12
    | spl0_30
    | spl0_42 ),
    inference(avatar_split_clause,[],[f235,f424,f370,f292,f439]) ).

fof(f235,plain,
    ! [X36,X37] :
      ( hskp23
      | ~ c3_1(X36)
      | ~ c0_1(X36)
      | c2_1(X36)
      | ~ ndr1_0
      | ~ c3_1(X37)
      | c2_1(X37)
      | c1_1(X37) ),
    inference(duplicate_literal_removal,[],[f171]) ).

fof(f171,plain,
    ! [X36,X37] :
      ( hskp23
      | ~ c3_1(X36)
      | ~ c0_1(X36)
      | c2_1(X36)
      | ~ ndr1_0
      | ~ c3_1(X37)
      | c2_1(X37)
      | c1_1(X37)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f437,plain,
    ( ~ spl0_12
    | spl0_44
    | spl0_28
    | spl0_27 ),
    inference(avatar_split_clause,[],[f172,f355,f360,f435,f292]) ).

fof(f172,plain,
    ! [X35] :
      ( hskp4
      | hskp3
      | ~ c2_1(X35)
      | c3_1(X35)
      | c1_1(X35)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f433,plain,
    ( spl0_43
    | ~ spl0_12
    | spl0_17
    | spl0_23 ),
    inference(avatar_split_clause,[],[f236,f337,f312,f292,f430]) ).

fof(f236,plain,
    ! [X34,X33] :
      ( hskp15
      | ~ c3_1(X33)
      | ~ c1_1(X33)
      | ~ c0_1(X33)
      | ~ ndr1_0
      | ~ c3_1(X34)
      | ~ c0_1(X34)
      | c1_1(X34) ),
    inference(duplicate_literal_removal,[],[f173]) ).

fof(f173,plain,
    ! [X34,X33] :
      ( hskp15
      | ~ c3_1(X33)
      | ~ c1_1(X33)
      | ~ c0_1(X33)
      | ~ ndr1_0
      | ~ c3_1(X34)
      | ~ c0_1(X34)
      | c1_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f432,plain,
    ( ~ spl0_12
    | spl0_43
    | spl0_9
    | spl0_42 ),
    inference(avatar_split_clause,[],[f174,f424,f278,f430,f292]) ).

fof(f174,plain,
    ! [X32] :
      ( hskp23
      | hskp11
      | ~ c3_1(X32)
      | ~ c0_1(X32)
      | c1_1(X32)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f428,plain,
    ( spl0_41
    | ~ spl0_12
    | spl0_21
    | spl0_33 ),
    inference(avatar_split_clause,[],[f237,f384,f329,f292,f421]) ).

fof(f237,plain,
    ! [X31,X30] :
      ( hskp28
      | ~ c2_1(X30)
      | ~ c1_1(X30)
      | c3_1(X30)
      | ~ ndr1_0
      | ~ c3_1(X31)
      | ~ c2_1(X31)
      | c1_1(X31) ),
    inference(duplicate_literal_removal,[],[f175]) ).

fof(f175,plain,
    ! [X31,X30] :
      ( hskp28
      | ~ c2_1(X30)
      | ~ c1_1(X30)
      | c3_1(X30)
      | ~ ndr1_0
      | ~ c3_1(X31)
      | ~ c2_1(X31)
      | c1_1(X31)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f427,plain,
    ( ~ spl0_12
    | spl0_41
    | spl0_1
    | spl0_42 ),
    inference(avatar_split_clause,[],[f176,f424,f243,f421,f292]) ).

fof(f176,plain,
    ! [X29] :
      ( hskp23
      | hskp14
      | ~ c3_1(X29)
      | ~ c2_1(X29)
      | c1_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f419,plain,
    ( spl0_39
    | ~ spl0_12
    | spl0_24
    | spl0_11 ),
    inference(avatar_split_clause,[],[f238,f287,f342,f292,f412]) ).

fof(f238,plain,
    ! [X28,X27] :
      ( hskp8
      | ~ c2_1(X27)
      | ~ c0_1(X27)
      | c3_1(X27)
      | ~ ndr1_0
      | ~ c0_1(X28)
      | c3_1(X28)
      | c2_1(X28) ),
    inference(duplicate_literal_removal,[],[f177]) ).

fof(f177,plain,
    ! [X28,X27] :
      ( hskp8
      | ~ c2_1(X27)
      | ~ c0_1(X27)
      | c3_1(X27)
      | ~ ndr1_0
      | ~ c0_1(X28)
      | c3_1(X28)
      | c2_1(X28)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f418,plain,
    ( ~ spl0_12
    | spl0_39
    | spl0_28
    | spl0_40 ),
    inference(avatar_split_clause,[],[f178,f415,f360,f412,f292]) ).

fof(f178,plain,
    ! [X26] :
      ( hskp16
      | hskp3
      | ~ c0_1(X26)
      | c3_1(X26)
      | c2_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f409,plain,
    ( ~ spl0_12
    | spl0_36
    | spl0_11
    | spl0_38 ),
    inference(avatar_split_clause,[],[f180,f406,f287,f398,f292]) ).

fof(f180,plain,
    ! [X23] :
      ( hskp6
      | hskp8
      | ~ c1_1(X23)
      | c3_1(X23)
      | c2_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f396,plain,
    ( ~ spl0_12
    | spl0_34
    | spl0_23
    | spl0_35 ),
    inference(avatar_split_clause,[],[f182,f393,f337,f389,f292]) ).

fof(f182,plain,
    ! [X21] :
      ( hskp25
      | hskp15
      | ~ c1_1(X21)
      | ~ c0_1(X21)
      | c2_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f391,plain,
    ( ~ spl0_12
    | spl0_34
    | spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f183,f278,f251,f389,f292]) ).

fof(f183,plain,
    ! [X20] :
      ( hskp11
      | hskp0
      | ~ c1_1(X20)
      | ~ c0_1(X20)
      | c2_1(X20)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f387,plain,
    ( ~ spl0_12
    | spl0_30
    | spl0_8
    | spl0_33 ),
    inference(avatar_split_clause,[],[f184,f384,f274,f370,f292]) ).

fof(f184,plain,
    ! [X19] :
      ( hskp28
      | hskp26
      | ~ c3_1(X19)
      | ~ c0_1(X19)
      | c2_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f368,plain,
    ( spl0_29
    | ~ spl0_12
    | spl0_16
    | spl0_1 ),
    inference(avatar_split_clause,[],[f240,f243,f308,f292,f365]) ).

fof(f240,plain,
    ! [X14,X15] :
      ( hskp14
      | ~ c3_1(X14)
      | ~ c2_1(X14)
      | ~ c0_1(X14)
      | ~ ndr1_0
      | ~ c3_1(X15)
      | ~ c1_1(X15)
      | c2_1(X15) ),
    inference(duplicate_literal_removal,[],[f188]) ).

fof(f188,plain,
    ! [X14,X15] :
      ( hskp14
      | ~ c3_1(X14)
      | ~ c2_1(X14)
      | ~ c0_1(X14)
      | ~ ndr1_0
      | ~ c3_1(X15)
      | ~ c1_1(X15)
      | c2_1(X15)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f367,plain,
    ( ~ spl0_12
    | spl0_29
    | spl0_28
    | spl0_6 ),
    inference(avatar_split_clause,[],[f189,f264,f360,f365,f292]) ).

fof(f189,plain,
    ! [X13] :
      ( hskp17
      | hskp3
      | ~ c3_1(X13)
      | ~ c1_1(X13)
      | c2_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f363,plain,
    ( ~ spl0_12
    | spl0_26
    | spl0_28
    | spl0_6 ),
    inference(avatar_split_clause,[],[f190,f264,f360,f352,f292]) ).

fof(f190,plain,
    ! [X12] :
      ( hskp17
      | hskp3
      | ~ c1_1(X12)
      | ~ c0_1(X12)
      | c3_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f358,plain,
    ( ~ spl0_12
    | spl0_26
    | spl0_27
    | spl0_6 ),
    inference(avatar_split_clause,[],[f191,f264,f355,f352,f292]) ).

fof(f191,plain,
    ! [X11] :
      ( hskp17
      | hskp4
      | ~ c1_1(X11)
      | ~ c0_1(X11)
      | c3_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f350,plain,
    ( ~ spl0_12
    | spl0_24
    | spl0_25
    | spl0_11 ),
    inference(avatar_split_clause,[],[f192,f287,f347,f342,f292]) ).

fof(f192,plain,
    ! [X10] :
      ( hskp8
      | hskp27
      | ~ c2_1(X10)
      | ~ c0_1(X10)
      | c3_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f345,plain,
    ( ~ spl0_12
    | spl0_24
    | spl0_1
    | spl0_7 ),
    inference(avatar_split_clause,[],[f193,f269,f243,f342,f292]) ).

fof(f193,plain,
    ! [X9] :
      ( hskp22
      | hskp14
      | ~ c2_1(X9)
      | ~ c0_1(X9)
      | c3_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f344,plain,
    ( ~ spl0_12
    | spl0_24
    | spl0_5
    | spl0_19 ),
    inference(avatar_split_clause,[],[f194,f319,f260,f342,f292]) ).

fof(f194,plain,
    ! [X8] :
      ( hskp20
      | hskp7
      | ~ c2_1(X8)
      | ~ c0_1(X8)
      | c3_1(X8)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f340,plain,
    ( ~ spl0_12
    | spl0_21
    | spl0_4
    | spl0_23 ),
    inference(avatar_split_clause,[],[f195,f337,f256,f329,f292]) ).

fof(f195,plain,
    ! [X7] :
      ( hskp15
      | hskp29
      | ~ c2_1(X7)
      | ~ c1_1(X7)
      | c3_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f327,plain,
    ( spl0_20
    | ~ spl0_12
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f241,f299,f296,f292,f325]) ).

fof(f241,plain,
    ! [X4,X5] :
      ( hskp10
      | ~ c3_1(X4)
      | ~ c2_1(X4)
      | ~ c1_1(X4)
      | ~ ndr1_0
      | ~ c2_1(X5)
      | ~ c1_1(X5)
      | ~ c0_1(X5) ),
    inference(duplicate_literal_removal,[],[f197]) ).

fof(f197,plain,
    ! [X4,X5] :
      ( hskp10
      | ~ c3_1(X4)
      | ~ c2_1(X4)
      | ~ c1_1(X4)
      | ~ ndr1_0
      | ~ c2_1(X5)
      | ~ c1_1(X5)
      | ~ c0_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f322,plain,
    ( ~ spl0_12
    | spl0_17
    | spl0_18
    | spl0_19 ),
    inference(avatar_split_clause,[],[f199,f319,f315,f312,f292]) ).

fof(f199,plain,
    ! [X2] :
      ( hskp20
      | hskp19
      | ~ c3_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f310,plain,
    ( ~ spl0_12
    | spl0_16
    | spl0_10
    | spl0_14 ),
    inference(avatar_split_clause,[],[f200,f299,f283,f308,f292]) ).

fof(f200,plain,
    ! [X1] :
      ( hskp10
      | hskp12
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f306,plain,
    ( ~ spl0_12
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f201,f303,f299,f296,f292]) ).

fof(f201,plain,
    ! [X0] :
      ( hskp1
      | hskp10
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f290,plain,
    ( spl0_8
    | spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f202,f287,f283,f274]) ).

fof(f202,plain,
    ( hskp8
    | hskp12
    | hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f281,plain,
    ( spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f203,f278,f274]) ).

fof(f203,plain,
    ( hskp11
    | hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SYN507+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
% 0.14/0.36  % Computer : n016.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 17:12:53 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (22518)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (22520)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (22519)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  % (22522)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38  % (22523)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38  % (22524)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38  % (22521)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.38  % (22525)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.39  Detected minimum model sizes of [1]
% 0.14/0.39  Detected maximum model sizes of [30]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  Detected minimum model sizes of [1]
% 0.14/0.39  Detected maximum model sizes of [30]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  Detected minimum model sizes of [1]
% 0.14/0.39  Detected maximum model sizes of [30]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  TRYING [2]
% 0.14/0.40  Detected minimum model sizes of [1]
% 0.14/0.40  Detected maximum model sizes of [30]
% 0.14/0.40  TRYING [1]
% 0.14/0.40  TRYING [3]
% 0.14/0.40  TRYING [2]
% 0.14/0.40  TRYING [4]
% 0.14/0.40  TRYING [3]
% 0.14/0.40  TRYING [4]
% 0.14/0.40  TRYING [4]
% 0.14/0.40  TRYING [4]
% 0.21/0.42  TRYING [5]
% 0.21/0.42  TRYING [5]
% 0.21/0.42  TRYING [5]
% 0.21/0.42  TRYING [5]
% 0.21/0.43  % (22524)First to succeed.
% 0.21/0.44  % (22524)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22518"
% 0.21/0.44  % (22524)Refutation found. Thanks to Tanya!
% 0.21/0.44  % SZS status Theorem for theBenchmark
% 0.21/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.45  % (22524)------------------------------
% 0.21/0.45  % (22524)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.45  % (22524)Termination reason: Refutation
% 0.21/0.45  
% 0.21/0.45  % (22524)Memory used [KB]: 2018
% 0.21/0.45  % (22524)Time elapsed: 0.062 s
% 0.21/0.45  % (22524)Instructions burned: 107 (million)
% 0.21/0.45  % (22518)Success in time 0.087 s
%------------------------------------------------------------------------------