TSTP Solution File: SYN506+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN506+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 : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 18:04:06 EDT 2024

% Result   : Theorem 0.12s 0.37s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  124
% Syntax   : Number of formulae    :  640 (   1 unt;   0 def)
%            Number of atoms       : 6756 (   0 equ)
%            Maximal formula atoms :  759 (  10 avg)
%            Number of connectives : 9219 (3103   ~;4319   |;1170   &)
%                                         ( 123 <=>; 504  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  116 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  158 ( 157 usr; 154 prp; 0-1 aty)
%            Number of functors    :   29 (  29 usr;  29 con; 0-0 aty)
%            Number of variables   :  924 ( 924   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2388,plain,
    $false,
    inference(avatar_sat_refutation,[],[f257,f284,f289,f298,f307,f337,f341,f345,f349,f362,f363,f367,f371,f389,f390,f394,f407,f408,f421,f444,f449,f459,f464,f466,f470,f472,f476,f485,f486,f499,f503,f504,f506,f511,f514,f519,f525,f531,f549,f554,f559,f565,f570,f575,f581,f586,f591,f597,f602,f607,f608,f613,f618,f623,f645,f650,f655,f661,f666,f671,f693,f698,f703,f725,f730,f735,f741,f746,f751,f757,f762,f767,f773,f778,f783,f789,f794,f799,f805,f810,f815,f821,f826,f832,f837,f842,f847,f853,f863,f869,f874,f879,f885,f890,f895,f917,f922,f927,f933,f938,f943,f949,f954,f959,f986,f991,f992,f1022,f1030,f1033,f1040,f1053,f1057,f1128,f1141,f1149,f1159,f1171,f1270,f1292,f1312,f1316,f1336,f1350,f1361,f1408,f1413,f1425,f1496,f1822,f1824,f1856,f1893,f1929,f1948,f2019,f2022,f2025,f2034,f2060,f2105,f2107,f2128,f2151,f2155,f2191,f2203,f2204,f2214,f2224,f2258,f2274,f2277,f2280,f2309,f2323,f2327,f2340,f2362,f2385]) ).

fof(f2385,plain,
    ( ~ spl0_27
    | ~ spl0_47
    | ~ spl0_55
    | spl0_117
    | spl0_118 ),
    inference(avatar_contradiction_clause,[],[f2384]) ).

fof(f2384,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_47
    | ~ spl0_55
    | spl0_117
    | spl0_118 ),
    inference(subsumption_resolution,[],[f2374,f841]) ).

fof(f841,plain,
    ( ~ c2_1(a337)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f839,plain,
    ( spl0_118
  <=> c2_1(a337) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f2374,plain,
    ( c2_1(a337)
    | ~ spl0_27
    | ~ spl0_47
    | ~ spl0_55
    | spl0_117 ),
    inference(resolution,[],[f2363,f836]) ).

fof(f836,plain,
    ( ~ c3_1(a337)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f834]) ).

fof(f834,plain,
    ( spl0_117
  <=> c3_1(a337) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2363,plain,
    ( ! [X48] :
        ( c3_1(X48)
        | c2_1(X48) )
    | ~ spl0_27
    | ~ spl0_47
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f457,f2341]) ).

fof(f2341,plain,
    ( ! [X73] :
        ( ~ c1_1(X73)
        | c2_1(X73) )
    | ~ spl0_27
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f498,f366]) ).

fof(f366,plain,
    ( ! [X9] :
        ( ~ c1_1(X9)
        | c2_1(X9)
        | ~ c3_1(X9) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f365,plain,
    ( spl0_27
  <=> ! [X9] :
        ( ~ c3_1(X9)
        | c2_1(X9)
        | ~ c1_1(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f498,plain,
    ( ! [X73] :
        ( ~ c1_1(X73)
        | c2_1(X73)
        | c3_1(X73) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f497,plain,
    ( spl0_55
  <=> ! [X73] :
        ( ~ c1_1(X73)
        | c2_1(X73)
        | c3_1(X73) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f457,plain,
    ( ! [X48] :
        ( c1_1(X48)
        | c3_1(X48)
        | c2_1(X48) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f456,plain,
    ( spl0_47
  <=> ! [X48] :
        ( c3_1(X48)
        | c1_1(X48)
        | c2_1(X48) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f2362,plain,
    ( ~ spl0_160
    | ~ spl0_33
    | spl0_81
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2361,f652,f642,f392,f1895]) ).

fof(f1895,plain,
    ( spl0_160
  <=> c0_1(a367) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f392,plain,
    ( spl0_33
  <=> ! [X20] :
        ( ~ c3_1(X20)
        | c2_1(X20)
        | ~ c0_1(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f642,plain,
    ( spl0_81
  <=> c2_1(a367) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f652,plain,
    ( spl0_83
  <=> c3_1(a367) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f2361,plain,
    ( ~ c0_1(a367)
    | ~ spl0_33
    | spl0_81
    | ~ spl0_83 ),
    inference(subsumption_resolution,[],[f2357,f644]) ).

fof(f644,plain,
    ( ~ c2_1(a367)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f2357,plain,
    ( c2_1(a367)
    | ~ c0_1(a367)
    | ~ spl0_33
    | ~ spl0_83 ),
    inference(resolution,[],[f393,f654]) ).

fof(f654,plain,
    ( c3_1(a367)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f393,plain,
    ( ! [X20] :
        ( ~ c3_1(X20)
        | c2_1(X20)
        | ~ c0_1(X20) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f2340,plain,
    ( ~ spl0_50
    | ~ spl0_54
    | spl0_96
    | ~ spl0_98 ),
    inference(avatar_contradiction_clause,[],[f2339]) ).

fof(f2339,plain,
    ( $false
    | ~ spl0_50
    | ~ spl0_54
    | spl0_96
    | ~ spl0_98 ),
    inference(subsumption_resolution,[],[f2333,f724]) ).

fof(f724,plain,
    ( ~ c0_1(a353)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f722,plain,
    ( spl0_96
  <=> c0_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f2333,plain,
    ( c0_1(a353)
    | ~ spl0_50
    | ~ spl0_54
    | ~ spl0_98 ),
    inference(resolution,[],[f2328,f734]) ).

fof(f734,plain,
    ( c1_1(a353)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f732,plain,
    ( spl0_98
  <=> c1_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f2328,plain,
    ( ! [X61] :
        ( ~ c1_1(X61)
        | c0_1(X61) )
    | ~ spl0_50
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f475,f494]) ).

fof(f494,plain,
    ( ! [X72] :
        ( ~ c1_1(X72)
        | c0_1(X72)
        | c3_1(X72) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f493,plain,
    ( spl0_54
  <=> ! [X72] :
        ( ~ c1_1(X72)
        | c0_1(X72)
        | c3_1(X72) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f475,plain,
    ( ! [X61] :
        ( ~ c3_1(X61)
        | c0_1(X61)
        | ~ c1_1(X61) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f474,plain,
    ( spl0_50
  <=> ! [X61] :
        ( ~ c3_1(X61)
        | c0_1(X61)
        | ~ c1_1(X61) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f2327,plain,
    ( ~ spl0_59
    | spl0_82
    | ~ spl0_83
    | spl0_160 ),
    inference(avatar_contradiction_clause,[],[f2326]) ).

fof(f2326,plain,
    ( $false
    | ~ spl0_59
    | spl0_82
    | ~ spl0_83
    | spl0_160 ),
    inference(subsumption_resolution,[],[f2325,f649]) ).

fof(f649,plain,
    ( ~ c1_1(a367)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f647,plain,
    ( spl0_82
  <=> c1_1(a367) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f2325,plain,
    ( c1_1(a367)
    | ~ spl0_59
    | ~ spl0_83
    | spl0_160 ),
    inference(subsumption_resolution,[],[f2317,f1897]) ).

fof(f1897,plain,
    ( ~ c0_1(a367)
    | spl0_160 ),
    inference(avatar_component_clause,[],[f1895]) ).

fof(f2317,plain,
    ( c0_1(a367)
    | c1_1(a367)
    | ~ spl0_59
    | ~ spl0_83 ),
    inference(resolution,[],[f522,f654]) ).

fof(f522,plain,
    ( ! [X102] :
        ( ~ c3_1(X102)
        | c0_1(X102)
        | c1_1(X102) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f521,plain,
    ( spl0_59
  <=> ! [X102] :
        ( ~ c3_1(X102)
        | c0_1(X102)
        | c1_1(X102) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f2323,plain,
    ( ~ spl0_59
    | spl0_126
    | spl0_127
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f2322]) ).

fof(f2322,plain,
    ( $false
    | ~ spl0_59
    | spl0_126
    | spl0_127
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f2321,f884]) ).

fof(f884,plain,
    ( ~ c1_1(a330)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f882,plain,
    ( spl0_126
  <=> c1_1(a330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f2321,plain,
    ( c1_1(a330)
    | ~ spl0_59
    | spl0_127
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f2312,f889]) ).

fof(f889,plain,
    ( ~ c0_1(a330)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f887,plain,
    ( spl0_127
  <=> c0_1(a330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2312,plain,
    ( c0_1(a330)
    | c1_1(a330)
    | ~ spl0_59
    | ~ spl0_128 ),
    inference(resolution,[],[f522,f894]) ).

fof(f894,plain,
    ( c3_1(a330)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f892,plain,
    ( spl0_128
  <=> c3_1(a330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f2309,plain,
    ( ~ spl0_58
    | spl0_123
    | spl0_124
    | spl0_125 ),
    inference(avatar_contradiction_clause,[],[f2308]) ).

fof(f2308,plain,
    ( $false
    | ~ spl0_58
    | spl0_123
    | spl0_124
    | spl0_125 ),
    inference(subsumption_resolution,[],[f2307,f873]) ).

fof(f873,plain,
    ( ~ c2_1(a332)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f871]) ).

fof(f871,plain,
    ( spl0_124
  <=> c2_1(a332) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f2307,plain,
    ( c2_1(a332)
    | ~ spl0_58
    | spl0_123
    | spl0_125 ),
    inference(subsumption_resolution,[],[f2293,f868]) ).

fof(f868,plain,
    ( ~ c3_1(a332)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f866,plain,
    ( spl0_123
  <=> c3_1(a332) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f2293,plain,
    ( c3_1(a332)
    | c2_1(a332)
    | ~ spl0_58
    | spl0_125 ),
    inference(resolution,[],[f518,f878]) ).

fof(f878,plain,
    ( ~ c0_1(a332)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f876,plain,
    ( spl0_125
  <=> c0_1(a332) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f518,plain,
    ( ! [X100] :
        ( c0_1(X100)
        | c3_1(X100)
        | c2_1(X100) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f517,plain,
    ( spl0_58
  <=> ! [X100] :
        ( c3_1(X100)
        | c0_1(X100)
        | c2_1(X100) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f2280,plain,
    ( ~ spl0_56
    | spl0_81
    | ~ spl0_83
    | spl0_160 ),
    inference(avatar_contradiction_clause,[],[f2279]) ).

fof(f2279,plain,
    ( $false
    | ~ spl0_56
    | spl0_81
    | ~ spl0_83
    | spl0_160 ),
    inference(subsumption_resolution,[],[f2278,f644]) ).

fof(f2278,plain,
    ( c2_1(a367)
    | ~ spl0_56
    | ~ spl0_83
    | spl0_160 ),
    inference(subsumption_resolution,[],[f2268,f1897]) ).

fof(f2268,plain,
    ( c0_1(a367)
    | c2_1(a367)
    | ~ spl0_56
    | ~ spl0_83 ),
    inference(resolution,[],[f502,f654]) ).

fof(f502,plain,
    ( ! [X77] :
        ( ~ c3_1(X77)
        | c0_1(X77)
        | c2_1(X77) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f501,plain,
    ( spl0_56
  <=> ! [X77] :
        ( ~ c3_1(X77)
        | c0_1(X77)
        | c2_1(X77) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f2277,plain,
    ( ~ spl0_56
    | spl0_84
    | spl0_85
    | ~ spl0_86 ),
    inference(avatar_contradiction_clause,[],[f2276]) ).

fof(f2276,plain,
    ( $false
    | ~ spl0_56
    | spl0_84
    | spl0_85
    | ~ spl0_86 ),
    inference(subsumption_resolution,[],[f2275,f660]) ).

fof(f660,plain,
    ( ~ c2_1(a359)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f658,plain,
    ( spl0_84
  <=> c2_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f2275,plain,
    ( c2_1(a359)
    | ~ spl0_56
    | spl0_85
    | ~ spl0_86 ),
    inference(subsumption_resolution,[],[f2267,f665]) ).

fof(f665,plain,
    ( ~ c0_1(a359)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f663,plain,
    ( spl0_85
  <=> c0_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f2267,plain,
    ( c0_1(a359)
    | c2_1(a359)
    | ~ spl0_56
    | ~ spl0_86 ),
    inference(resolution,[],[f502,f670]) ).

fof(f670,plain,
    ( c3_1(a359)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f668,plain,
    ( spl0_86
  <=> c3_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f2274,plain,
    ( ~ spl0_56
    | spl0_127
    | ~ spl0_128
    | spl0_164 ),
    inference(avatar_contradiction_clause,[],[f2273]) ).

fof(f2273,plain,
    ( $false
    | ~ spl0_56
    | spl0_127
    | ~ spl0_128
    | spl0_164 ),
    inference(subsumption_resolution,[],[f2272,f2063]) ).

fof(f2063,plain,
    ( ~ c2_1(a330)
    | spl0_164 ),
    inference(avatar_component_clause,[],[f2062]) ).

fof(f2062,plain,
    ( spl0_164
  <=> c2_1(a330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f2272,plain,
    ( c2_1(a330)
    | ~ spl0_56
    | spl0_127
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f2263,f889]) ).

fof(f2263,plain,
    ( c0_1(a330)
    | c2_1(a330)
    | ~ spl0_56
    | ~ spl0_128 ),
    inference(resolution,[],[f502,f894]) ).

fof(f2258,plain,
    ( ~ spl0_27
    | ~ spl0_55
    | spl0_138
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f2257]) ).

fof(f2257,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_55
    | spl0_138
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2247,f948]) ).

fof(f948,plain,
    ( ~ c2_1(a325)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f946,plain,
    ( spl0_138
  <=> c2_1(a325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2247,plain,
    ( c2_1(a325)
    | ~ spl0_27
    | ~ spl0_55
    | ~ spl0_139 ),
    inference(resolution,[],[f2244,f953]) ).

fof(f953,plain,
    ( c1_1(a325)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f951,plain,
    ( spl0_139
  <=> c1_1(a325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2244,plain,
    ( ! [X73] :
        ( ~ c1_1(X73)
        | c2_1(X73) )
    | ~ spl0_27
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f498,f366]) ).

fof(f2224,plain,
    ( spl0_161
    | ~ spl0_50
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2223,f748,f743,f474,f1901]) ).

fof(f1901,plain,
    ( spl0_161
  <=> c0_1(a349) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f743,plain,
    ( spl0_100
  <=> c3_1(a349) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f748,plain,
    ( spl0_101
  <=> c1_1(a349) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f2223,plain,
    ( c0_1(a349)
    | ~ spl0_50
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(subsumption_resolution,[],[f2217,f750]) ).

fof(f750,plain,
    ( c1_1(a349)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f2217,plain,
    ( c0_1(a349)
    | ~ c1_1(a349)
    | ~ spl0_50
    | ~ spl0_100 ),
    inference(resolution,[],[f475,f745]) ).

fof(f745,plain,
    ( c3_1(a349)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f2214,plain,
    ( ~ spl0_164
    | ~ spl0_34
    | spl0_126
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2213,f892,f882,f396,f2062]) ).

fof(f396,plain,
    ( spl0_34
  <=> ! [X22] :
        ( ~ c3_1(X22)
        | c1_1(X22)
        | ~ c2_1(X22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f2213,plain,
    ( ~ c2_1(a330)
    | ~ spl0_34
    | spl0_126
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f2205,f884]) ).

fof(f2205,plain,
    ( c1_1(a330)
    | ~ c2_1(a330)
    | ~ spl0_34
    | ~ spl0_128 ),
    inference(resolution,[],[f397,f894]) ).

fof(f397,plain,
    ( ! [X22] :
        ( ~ c3_1(X22)
        | c1_1(X22)
        | ~ c2_1(X22) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f2204,plain,
    ( ~ spl0_158
    | ~ spl0_71
    | ~ spl0_21
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2180,f578,f339,f588,f1510]) ).

fof(f1510,plain,
    ( spl0_158
  <=> c2_1(a333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f588,plain,
    ( spl0_71
  <=> c0_1(a333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f339,plain,
    ( spl0_21
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f578,plain,
    ( spl0_69
  <=> c3_1(a333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f2180,plain,
    ( ~ c0_1(a333)
    | ~ c2_1(a333)
    | ~ spl0_21
    | ~ spl0_69 ),
    inference(resolution,[],[f340,f580]) ).

fof(f580,plain,
    ( c3_1(a333)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f340,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f2203,plain,
    ( spl0_158
    | ~ spl0_27
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f2202,f583,f578,f365,f1510]) ).

fof(f583,plain,
    ( spl0_70
  <=> c1_1(a333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f2202,plain,
    ( c2_1(a333)
    | ~ spl0_27
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(subsumption_resolution,[],[f2199,f580]) ).

fof(f2199,plain,
    ( c2_1(a333)
    | ~ c3_1(a333)
    | ~ spl0_27
    | ~ spl0_70 ),
    inference(resolution,[],[f366,f585]) ).

fof(f585,plain,
    ( c1_1(a333)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f2191,plain,
    ( ~ spl0_21
    | ~ spl0_63
    | ~ spl0_65
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f2190]) ).

fof(f2190,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_63
    | ~ spl0_65
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f2189,f548]) ).

fof(f548,plain,
    ( c2_1(a343)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f546,plain,
    ( spl0_63
  <=> c2_1(a343) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f2189,plain,
    ( ~ c2_1(a343)
    | ~ spl0_21
    | ~ spl0_65
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f2182,f558]) ).

fof(f558,plain,
    ( c0_1(a343)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f556,plain,
    ( spl0_65
  <=> c0_1(a343) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f2182,plain,
    ( ~ c0_1(a343)
    | ~ c2_1(a343)
    | ~ spl0_21
    | ~ spl0_150 ),
    inference(resolution,[],[f340,f1045]) ).

fof(f1045,plain,
    ( c3_1(a343)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1043]) ).

fof(f1043,plain,
    ( spl0_150
  <=> c3_1(a343) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f2155,plain,
    ( ~ spl0_98
    | spl0_159
    | ~ spl0_24
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f2077,f727,f351,f1747,f732]) ).

fof(f1747,plain,
    ( spl0_159
  <=> c3_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f351,plain,
    ( spl0_24
  <=> ! [X5] :
        ( ~ c2_1(X5)
        | c3_1(X5)
        | ~ c1_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f727,plain,
    ( spl0_97
  <=> c2_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f2077,plain,
    ( c3_1(a353)
    | ~ c1_1(a353)
    | ~ spl0_24
    | ~ spl0_97 ),
    inference(resolution,[],[f352,f729]) ).

fof(f729,plain,
    ( c2_1(a353)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f352,plain,
    ( ! [X5] :
        ( ~ c2_1(X5)
        | c3_1(X5)
        | ~ c1_1(X5) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f2151,plain,
    ( ~ spl0_49
    | spl0_96
    | ~ spl0_97
    | ~ spl0_159 ),
    inference(avatar_contradiction_clause,[],[f2150]) ).

fof(f2150,plain,
    ( $false
    | ~ spl0_49
    | spl0_96
    | ~ spl0_97
    | ~ spl0_159 ),
    inference(subsumption_resolution,[],[f2149,f729]) ).

fof(f2149,plain,
    ( ~ c2_1(a353)
    | ~ spl0_49
    | spl0_96
    | ~ spl0_159 ),
    inference(subsumption_resolution,[],[f2141,f724]) ).

fof(f2141,plain,
    ( c0_1(a353)
    | ~ c2_1(a353)
    | ~ spl0_49
    | ~ spl0_159 ),
    inference(resolution,[],[f469,f1749]) ).

fof(f1749,plain,
    ( c3_1(a353)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1747]) ).

fof(f469,plain,
    ( ! [X56] :
        ( ~ c3_1(X56)
        | c0_1(X56)
        | ~ c2_1(X56) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f468,plain,
    ( spl0_49
  <=> ! [X56] :
        ( ~ c3_1(X56)
        | c0_1(X56)
        | ~ c2_1(X56) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f2128,plain,
    ( ~ spl0_161
    | ~ spl0_33
    | spl0_99
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f2127,f743,f738,f392,f1901]) ).

fof(f738,plain,
    ( spl0_99
  <=> c2_1(a349) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f2127,plain,
    ( ~ c0_1(a349)
    | ~ spl0_33
    | spl0_99
    | ~ spl0_100 ),
    inference(subsumption_resolution,[],[f2120,f740]) ).

fof(f740,plain,
    ( ~ c2_1(a349)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f2120,plain,
    ( c2_1(a349)
    | ~ c0_1(a349)
    | ~ spl0_33
    | ~ spl0_100 ),
    inference(resolution,[],[f393,f745]) ).

fof(f2107,plain,
    ( spl0_150
    | ~ spl0_24
    | ~ spl0_63
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f2106,f551,f546,f351,f1043]) ).

fof(f551,plain,
    ( spl0_64
  <=> c1_1(a343) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f2106,plain,
    ( c3_1(a343)
    | ~ spl0_24
    | ~ spl0_63
    | ~ spl0_64 ),
    inference(subsumption_resolution,[],[f2082,f553]) ).

fof(f553,plain,
    ( c1_1(a343)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f2082,plain,
    ( c3_1(a343)
    | ~ c1_1(a343)
    | ~ spl0_24
    | ~ spl0_63 ),
    inference(resolution,[],[f352,f548]) ).

fof(f2105,plain,
    ( ~ spl0_92
    | ~ spl0_24
    | spl0_90
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f2093,f695,f690,f351,f700]) ).

fof(f700,plain,
    ( spl0_92
  <=> c1_1(a355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f690,plain,
    ( spl0_90
  <=> c3_1(a355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f695,plain,
    ( spl0_91
  <=> c2_1(a355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f2093,plain,
    ( ~ c1_1(a355)
    | ~ spl0_24
    | spl0_90
    | ~ spl0_91 ),
    inference(subsumption_resolution,[],[f2078,f692]) ).

fof(f692,plain,
    ( ~ c3_1(a355)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f690]) ).

fof(f2078,plain,
    ( c3_1(a355)
    | ~ c1_1(a355)
    | ~ spl0_24
    | ~ spl0_91 ),
    inference(resolution,[],[f352,f697]) ).

fof(f697,plain,
    ( c2_1(a355)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f2060,plain,
    ( spl0_126
    | ~ spl0_34
    | ~ spl0_44
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2049,f892,f442,f396,f882]) ).

fof(f442,plain,
    ( spl0_44
  <=> ! [X43] :
        ( ~ c3_1(X43)
        | c1_1(X43)
        | c2_1(X43) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f2049,plain,
    ( c1_1(a330)
    | ~ spl0_34
    | ~ spl0_44
    | ~ spl0_128 ),
    inference(resolution,[],[f2027,f894]) ).

fof(f2027,plain,
    ( ! [X22] :
        ( ~ c3_1(X22)
        | c1_1(X22) )
    | ~ spl0_34
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f397,f443]) ).

fof(f443,plain,
    ( ! [X43] :
        ( ~ c3_1(X43)
        | c1_1(X43)
        | c2_1(X43) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f2034,plain,
    ( spl0_72
    | ~ spl0_45
    | spl0_73
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f2033,f604,f599,f447,f594]) ).

fof(f594,plain,
    ( spl0_72
  <=> c2_1(a419) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f447,plain,
    ( spl0_45
  <=> ! [X46] :
        ( ~ c0_1(X46)
        | c1_1(X46)
        | c2_1(X46) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f599,plain,
    ( spl0_73
  <=> c1_1(a419) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f604,plain,
    ( spl0_74
  <=> c0_1(a419) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f2033,plain,
    ( c2_1(a419)
    | ~ spl0_45
    | spl0_73
    | ~ spl0_74 ),
    inference(subsumption_resolution,[],[f1972,f601]) ).

fof(f601,plain,
    ( ~ c1_1(a419)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f1972,plain,
    ( c1_1(a419)
    | c2_1(a419)
    | ~ spl0_45
    | ~ spl0_74 ),
    inference(resolution,[],[f448,f606]) ).

fof(f606,plain,
    ( c0_1(a419)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f448,plain,
    ( ! [X46] :
        ( ~ c0_1(X46)
        | c1_1(X46)
        | c2_1(X46) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f2025,plain,
    ( spl0_145
    | ~ spl0_44
    | ~ spl0_47
    | spl0_146 ),
    inference(avatar_split_clause,[],[f2003,f988,f456,f442,f983]) ).

fof(f983,plain,
    ( spl0_145
  <=> c2_1(a323) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f988,plain,
    ( spl0_146
  <=> c1_1(a323) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f2003,plain,
    ( c2_1(a323)
    | ~ spl0_44
    | ~ spl0_47
    | spl0_146 ),
    inference(resolution,[],[f1999,f990]) ).

fof(f990,plain,
    ( ~ c1_1(a323)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f988]) ).

fof(f1999,plain,
    ( ! [X48] :
        ( c1_1(X48)
        | c2_1(X48) )
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(subsumption_resolution,[],[f457,f443]) ).

fof(f2022,plain,
    ( spl0_72
    | ~ spl0_44
    | ~ spl0_47
    | spl0_73 ),
    inference(avatar_split_clause,[],[f2014,f599,f456,f442,f594]) ).

fof(f2014,plain,
    ( c2_1(a419)
    | ~ spl0_44
    | ~ spl0_47
    | spl0_73 ),
    inference(resolution,[],[f1999,f601]) ).

fof(f2019,plain,
    ( ~ spl0_44
    | ~ spl0_47
    | spl0_114
    | spl0_115 ),
    inference(avatar_contradiction_clause,[],[f2018]) ).

fof(f2018,plain,
    ( $false
    | ~ spl0_44
    | ~ spl0_47
    | spl0_114
    | spl0_115 ),
    inference(subsumption_resolution,[],[f2009,f820]) ).

fof(f820,plain,
    ( ~ c2_1(a338)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f818,plain,
    ( spl0_114
  <=> c2_1(a338) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f2009,plain,
    ( c2_1(a338)
    | ~ spl0_44
    | ~ spl0_47
    | spl0_115 ),
    inference(resolution,[],[f1999,f825]) ).

fof(f825,plain,
    ( ~ c1_1(a338)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f823]) ).

fof(f823,plain,
    ( spl0_115
  <=> c1_1(a338) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1948,plain,
    ( ~ spl0_19
    | ~ spl0_97
    | ~ spl0_98
    | ~ spl0_159 ),
    inference(avatar_contradiction_clause,[],[f1947]) ).

fof(f1947,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_97
    | ~ spl0_98
    | ~ spl0_159 ),
    inference(subsumption_resolution,[],[f1946,f729]) ).

fof(f1946,plain,
    ( ~ c2_1(a353)
    | ~ spl0_19
    | ~ spl0_98
    | ~ spl0_159 ),
    inference(subsumption_resolution,[],[f1945,f734]) ).

fof(f1945,plain,
    ( ~ c1_1(a353)
    | ~ c2_1(a353)
    | ~ spl0_19
    | ~ spl0_159 ),
    inference(resolution,[],[f1749,f332]) ).

fof(f332,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f331,plain,
    ( spl0_19
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1929,plain,
    ( spl0_161
    | ~ spl0_57
    | spl0_99
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1928,f748,f738,f508,f1901]) ).

fof(f508,plain,
    ( spl0_57
  <=> ! [X86] :
        ( ~ c1_1(X86)
        | c0_1(X86)
        | c2_1(X86) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1928,plain,
    ( c0_1(a349)
    | ~ spl0_57
    | spl0_99
    | ~ spl0_101 ),
    inference(subsumption_resolution,[],[f1926,f740]) ).

fof(f1926,plain,
    ( c0_1(a349)
    | c2_1(a349)
    | ~ spl0_57
    | ~ spl0_101 ),
    inference(resolution,[],[f750,f509]) ).

fof(f509,plain,
    ( ! [X86] :
        ( ~ c1_1(X86)
        | c0_1(X86)
        | c2_1(X86) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f1893,plain,
    ( spl0_81
    | ~ spl0_44
    | spl0_82
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1890,f652,f647,f442,f642]) ).

fof(f1890,plain,
    ( c2_1(a367)
    | ~ spl0_44
    | spl0_82
    | ~ spl0_83 ),
    inference(subsumption_resolution,[],[f1882,f649]) ).

fof(f1882,plain,
    ( c1_1(a367)
    | c2_1(a367)
    | ~ spl0_44
    | ~ spl0_83 ),
    inference(resolution,[],[f443,f654]) ).

fof(f1856,plain,
    ( ~ spl0_19
    | ~ spl0_27
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(avatar_contradiction_clause,[],[f1855]) ).

fof(f1855,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_27
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(subsumption_resolution,[],[f1847,f580]) ).

fof(f1847,plain,
    ( ~ c3_1(a333)
    | ~ spl0_19
    | ~ spl0_27
    | ~ spl0_70 ),
    inference(resolution,[],[f1826,f585]) ).

fof(f1826,plain,
    ( ! [X9] :
        ( ~ c1_1(X9)
        | ~ c3_1(X9) )
    | ~ spl0_19
    | ~ spl0_27 ),
    inference(subsumption_resolution,[],[f366,f332]) ).

fof(f1824,plain,
    ( spl0_159
    | spl0_96
    | ~ spl0_54
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1756,f732,f493,f722,f1747]) ).

fof(f1756,plain,
    ( c0_1(a353)
    | c3_1(a353)
    | ~ spl0_54
    | ~ spl0_98 ),
    inference(resolution,[],[f734,f494]) ).

fof(f1822,plain,
    ( ~ spl0_57
    | spl0_75
    | spl0_76
    | ~ spl0_77 ),
    inference(avatar_contradiction_clause,[],[f1821]) ).

fof(f1821,plain,
    ( $false
    | ~ spl0_57
    | spl0_75
    | spl0_76
    | ~ spl0_77 ),
    inference(subsumption_resolution,[],[f1820,f612]) ).

fof(f612,plain,
    ( ~ c2_1(a401)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f610,plain,
    ( spl0_75
  <=> c2_1(a401) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1820,plain,
    ( c2_1(a401)
    | ~ spl0_57
    | spl0_76
    | ~ spl0_77 ),
    inference(subsumption_resolution,[],[f1810,f617]) ).

fof(f617,plain,
    ( ~ c0_1(a401)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f615,plain,
    ( spl0_76
  <=> c0_1(a401) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1810,plain,
    ( c0_1(a401)
    | c2_1(a401)
    | ~ spl0_57
    | ~ spl0_77 ),
    inference(resolution,[],[f509,f622]) ).

fof(f622,plain,
    ( c1_1(a401)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f620,plain,
    ( spl0_77
  <=> c1_1(a401) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1496,plain,
    ( ~ spl0_39
    | spl0_135
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f1495]) ).

fof(f1495,plain,
    ( $false
    | ~ spl0_39
    | spl0_135
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1494,f937]) ).

fof(f937,plain,
    ( c2_1(a326)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f935,plain,
    ( spl0_136
  <=> c2_1(a326) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1494,plain,
    ( ~ c2_1(a326)
    | ~ spl0_39
    | spl0_135
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1488,f932]) ).

fof(f932,plain,
    ( ~ c1_1(a326)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f930,plain,
    ( spl0_135
  <=> c1_1(a326) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1488,plain,
    ( c1_1(a326)
    | ~ c2_1(a326)
    | ~ spl0_39
    | ~ spl0_137 ),
    inference(resolution,[],[f420,f942]) ).

fof(f942,plain,
    ( c0_1(a326)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f940,plain,
    ( spl0_137
  <=> c0_1(a326) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f420,plain,
    ( ! [X30] :
        ( ~ c0_1(X30)
        | c1_1(X30)
        | ~ c2_1(X30) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f419,plain,
    ( spl0_39
  <=> ! [X30] :
        ( ~ c2_1(X30)
        | c1_1(X30)
        | ~ c0_1(X30) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1425,plain,
    ( ~ spl0_157
    | ~ spl0_22
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1424,f956,f951,f343,f1410]) ).

fof(f1410,plain,
    ( spl0_157
  <=> c3_1(a325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f343,plain,
    ( spl0_22
  <=> ! [X3] :
        ( ~ c3_1(X3)
        | ~ c0_1(X3)
        | ~ c1_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f956,plain,
    ( spl0_140
  <=> c0_1(a325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f1424,plain,
    ( ~ c3_1(a325)
    | ~ spl0_22
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1416,f958]) ).

fof(f958,plain,
    ( c0_1(a325)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f1416,plain,
    ( ~ c0_1(a325)
    | ~ c3_1(a325)
    | ~ spl0_22
    | ~ spl0_139 ),
    inference(resolution,[],[f344,f953]) ).

fof(f344,plain,
    ( ! [X3] :
        ( ~ c1_1(X3)
        | ~ c0_1(X3)
        | ~ c3_1(X3) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f1413,plain,
    ( spl0_157
    | spl0_138
    | ~ spl0_31
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1387,f956,f382,f946,f1410]) ).

fof(f382,plain,
    ( spl0_31
  <=> ! [X15] :
        ( ~ c0_1(X15)
        | c2_1(X15)
        | c3_1(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1387,plain,
    ( c2_1(a325)
    | c3_1(a325)
    | ~ spl0_31
    | ~ spl0_140 ),
    inference(resolution,[],[f383,f958]) ).

fof(f383,plain,
    ( ! [X15] :
        ( ~ c0_1(X15)
        | c2_1(X15)
        | c3_1(X15) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f1408,plain,
    ( spl0_118
    | ~ spl0_31
    | spl0_117
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1407,f844,f834,f382,f839]) ).

fof(f844,plain,
    ( spl0_119
  <=> c0_1(a337) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1407,plain,
    ( c2_1(a337)
    | ~ spl0_31
    | spl0_117
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f1390,f836]) ).

fof(f1390,plain,
    ( c2_1(a337)
    | c3_1(a337)
    | ~ spl0_31
    | ~ spl0_119 ),
    inference(resolution,[],[f383,f846]) ).

fof(f846,plain,
    ( c0_1(a337)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f1361,plain,
    ( spl0_150
    | ~ spl0_26
    | ~ spl0_63
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1360,f556,f546,f359,f1043]) ).

fof(f359,plain,
    ( spl0_26
  <=> ! [X6] :
        ( ~ c2_1(X6)
        | c3_1(X6)
        | ~ c0_1(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1360,plain,
    ( c3_1(a343)
    | ~ spl0_26
    | ~ spl0_63
    | ~ spl0_65 ),
    inference(subsumption_resolution,[],[f1359,f558]) ).

fof(f1359,plain,
    ( c3_1(a343)
    | ~ c0_1(a343)
    | ~ spl0_26
    | ~ spl0_63 ),
    inference(resolution,[],[f548,f360]) ).

fof(f360,plain,
    ( ! [X6] :
        ( ~ c2_1(X6)
        | c3_1(X6)
        | ~ c0_1(X6) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f1350,plain,
    ( ~ spl0_21
    | ~ spl0_26
    | ~ spl0_60
    | spl0_120
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f1349]) ).

fof(f1349,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_26
    | ~ spl0_60
    | spl0_120
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f1343,f862]) ).

fof(f862,plain,
    ( c2_1(a334)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f860,plain,
    ( spl0_122
  <=> c2_1(a334) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1343,plain,
    ( ~ c2_1(a334)
    | ~ spl0_21
    | ~ spl0_26
    | ~ spl0_60
    | spl0_120 ),
    inference(resolution,[],[f1337,f852]) ).

fof(f852,plain,
    ( ~ c1_1(a334)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f850,plain,
    ( spl0_120
  <=> c1_1(a334) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1337,plain,
    ( ! [X108] :
        ( c1_1(X108)
        | ~ c2_1(X108) )
    | ~ spl0_21
    | ~ spl0_26
    | ~ spl0_60 ),
    inference(subsumption_resolution,[],[f528,f1172]) ).

fof(f1172,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f340,f360]) ).

fof(f528,plain,
    ( ! [X108] :
        ( ~ c2_1(X108)
        | c0_1(X108)
        | c1_1(X108) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f527,plain,
    ( spl0_60
  <=> ! [X108] :
        ( ~ c2_1(X108)
        | c0_1(X108)
        | c1_1(X108) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1336,plain,
    ( ~ spl0_107
    | ~ spl0_34
    | spl0_105
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1335,f775,f770,f396,f780]) ).

fof(f780,plain,
    ( spl0_107
  <=> c2_1(a347) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f770,plain,
    ( spl0_105
  <=> c1_1(a347) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f775,plain,
    ( spl0_106
  <=> c3_1(a347) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1335,plain,
    ( ~ c2_1(a347)
    | ~ spl0_34
    | spl0_105
    | ~ spl0_106 ),
    inference(subsumption_resolution,[],[f1334,f772]) ).

fof(f772,plain,
    ( ~ c1_1(a347)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f1334,plain,
    ( c1_1(a347)
    | ~ c2_1(a347)
    | ~ spl0_34
    | ~ spl0_106 ),
    inference(resolution,[],[f777,f397]) ).

fof(f777,plain,
    ( c3_1(a347)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f1316,plain,
    ( ~ spl0_30
    | ~ spl0_64
    | ~ spl0_65
    | spl0_150 ),
    inference(avatar_contradiction_clause,[],[f1315]) ).

fof(f1315,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_64
    | ~ spl0_65
    | spl0_150 ),
    inference(subsumption_resolution,[],[f1314,f553]) ).

fof(f1314,plain,
    ( ~ c1_1(a343)
    | ~ spl0_30
    | ~ spl0_65
    | spl0_150 ),
    inference(subsumption_resolution,[],[f1303,f1044]) ).

fof(f1044,plain,
    ( ~ c3_1(a343)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f1043]) ).

fof(f1303,plain,
    ( c3_1(a343)
    | ~ c1_1(a343)
    | ~ spl0_30
    | ~ spl0_65 ),
    inference(resolution,[],[f379,f558]) ).

fof(f379,plain,
    ( ! [X13] :
        ( ~ c0_1(X13)
        | c3_1(X13)
        | ~ c1_1(X13) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f378,plain,
    ( spl0_30
  <=> ! [X13] :
        ( ~ c1_1(X13)
        | c3_1(X13)
        | ~ c0_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1312,plain,
    ( ~ spl0_30
    | spl0_132
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f1311]) ).

fof(f1311,plain,
    ( $false
    | ~ spl0_30
    | spl0_132
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1310,f921]) ).

fof(f921,plain,
    ( c1_1(a327)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f919,plain,
    ( spl0_133
  <=> c1_1(a327) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1310,plain,
    ( ~ c1_1(a327)
    | ~ spl0_30
    | spl0_132
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1298,f916]) ).

fof(f916,plain,
    ( ~ c3_1(a327)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f914]) ).

fof(f914,plain,
    ( spl0_132
  <=> c3_1(a327) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1298,plain,
    ( c3_1(a327)
    | ~ c1_1(a327)
    | ~ spl0_30
    | ~ spl0_134 ),
    inference(resolution,[],[f379,f926]) ).

fof(f926,plain,
    ( c0_1(a327)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f924,plain,
    ( spl0_134
  <=> c0_1(a327) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1292,plain,
    ( ~ spl0_21
    | ~ spl0_26
    | ~ spl0_47
    | spl0_102
    | spl0_103
    | ~ spl0_104 ),
    inference(avatar_contradiction_clause,[],[f1291]) ).

fof(f1291,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_26
    | ~ spl0_47
    | spl0_102
    | spl0_103
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f1289,f766]) ).

fof(f766,plain,
    ( c0_1(a348)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f764,plain,
    ( spl0_104
  <=> c0_1(a348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1289,plain,
    ( ~ c0_1(a348)
    | ~ spl0_21
    | ~ spl0_26
    | ~ spl0_47
    | spl0_102
    | spl0_103 ),
    inference(resolution,[],[f1273,f1172]) ).

fof(f1273,plain,
    ( c2_1(a348)
    | ~ spl0_47
    | spl0_102
    | spl0_103 ),
    inference(subsumption_resolution,[],[f1271,f756]) ).

fof(f756,plain,
    ( ~ c3_1(a348)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f754,plain,
    ( spl0_102
  <=> c3_1(a348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1271,plain,
    ( c3_1(a348)
    | c2_1(a348)
    | ~ spl0_47
    | spl0_103 ),
    inference(resolution,[],[f761,f457]) ).

fof(f761,plain,
    ( ~ c1_1(a348)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f759]) ).

fof(f759,plain,
    ( spl0_103
  <=> c1_1(a348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1270,plain,
    ( ~ spl0_21
    | ~ spl0_26
    | ~ spl0_51
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(avatar_contradiction_clause,[],[f1269]) ).

fof(f1269,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_26
    | ~ spl0_51
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(subsumption_resolution,[],[f1260,f574]) ).

fof(f574,plain,
    ( c1_1(a341)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f572,plain,
    ( spl0_68
  <=> c1_1(a341) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1260,plain,
    ( ~ c1_1(a341)
    | ~ spl0_21
    | ~ spl0_26
    | ~ spl0_51
    | ~ spl0_67 ),
    inference(resolution,[],[f1252,f569]) ).

fof(f569,plain,
    ( c2_1(a341)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f567,plain,
    ( spl0_67
  <=> c2_1(a341) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1252,plain,
    ( ! [X65] :
        ( ~ c2_1(X65)
        | ~ c1_1(X65) )
    | ~ spl0_21
    | ~ spl0_26
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f480,f1172]) ).

fof(f480,plain,
    ( ! [X65] :
        ( ~ c2_1(X65)
        | c0_1(X65)
        | ~ c1_1(X65) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f479,plain,
    ( spl0_51
  <=> ! [X65] :
        ( ~ c2_1(X65)
        | c0_1(X65)
        | ~ c1_1(X65) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1171,plain,
    ( ~ spl0_33
    | spl0_111
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(avatar_contradiction_clause,[],[f1170]) ).

fof(f1170,plain,
    ( $false
    | ~ spl0_33
    | spl0_111
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(subsumption_resolution,[],[f1169,f814]) ).

fof(f814,plain,
    ( c0_1(a345)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f812,plain,
    ( spl0_113
  <=> c0_1(a345) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1169,plain,
    ( ~ c0_1(a345)
    | ~ spl0_33
    | spl0_111
    | ~ spl0_112 ),
    inference(subsumption_resolution,[],[f1165,f804]) ).

fof(f804,plain,
    ( ~ c2_1(a345)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f802]) ).

fof(f802,plain,
    ( spl0_111
  <=> c2_1(a345) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1165,plain,
    ( c2_1(a345)
    | ~ c0_1(a345)
    | ~ spl0_33
    | ~ spl0_112 ),
    inference(resolution,[],[f393,f809]) ).

fof(f809,plain,
    ( c3_1(a345)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f807,plain,
    ( spl0_112
  <=> c3_1(a345) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1159,plain,
    ( spl0_99
    | ~ spl0_27
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1158,f748,f743,f365,f738]) ).

fof(f1158,plain,
    ( c2_1(a349)
    | ~ spl0_27
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(subsumption_resolution,[],[f1151,f745]) ).

fof(f1151,plain,
    ( c2_1(a349)
    | ~ c3_1(a349)
    | ~ spl0_27
    | ~ spl0_101 ),
    inference(resolution,[],[f366,f750]) ).

fof(f1149,plain,
    ( ~ spl0_23
    | ~ spl0_63
    | ~ spl0_64
    | ~ spl0_65 ),
    inference(avatar_contradiction_clause,[],[f1148]) ).

fof(f1148,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_63
    | ~ spl0_64
    | ~ spl0_65 ),
    inference(subsumption_resolution,[],[f1147,f553]) ).

fof(f1147,plain,
    ( ~ c1_1(a343)
    | ~ spl0_23
    | ~ spl0_63
    | ~ spl0_65 ),
    inference(subsumption_resolution,[],[f1146,f558]) ).

fof(f1146,plain,
    ( ~ c0_1(a343)
    | ~ c1_1(a343)
    | ~ spl0_23
    | ~ spl0_63 ),
    inference(resolution,[],[f348,f548]) ).

fof(f348,plain,
    ( ! [X4] :
        ( ~ c2_1(X4)
        | ~ c0_1(X4)
        | ~ c1_1(X4) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f347,plain,
    ( spl0_23
  <=> ! [X4] :
        ( ~ c2_1(X4)
        | ~ c0_1(X4)
        | ~ c1_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1141,plain,
    ( ~ spl0_150
    | ~ spl0_22
    | ~ spl0_64
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1140,f556,f551,f343,f1043]) ).

fof(f1140,plain,
    ( ~ c3_1(a343)
    | ~ spl0_22
    | ~ spl0_64
    | ~ spl0_65 ),
    inference(subsumption_resolution,[],[f1137,f558]) ).

fof(f1137,plain,
    ( ~ c0_1(a343)
    | ~ c3_1(a343)
    | ~ spl0_22
    | ~ spl0_64 ),
    inference(resolution,[],[f344,f553]) ).

fof(f1128,plain,
    ( ~ spl0_22
    | ~ spl0_26
    | ~ spl0_31
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1127]) ).

fof(f1127,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_26
    | ~ spl0_31
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1123,f958]) ).

fof(f1123,plain,
    ( ~ c0_1(a325)
    | ~ spl0_22
    | ~ spl0_26
    | ~ spl0_31
    | ~ spl0_139 ),
    inference(resolution,[],[f1121,f953]) ).

fof(f1121,plain,
    ( ! [X3] :
        ( ~ c1_1(X3)
        | ~ c0_1(X3) )
    | ~ spl0_22
    | ~ spl0_26
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f344,f1058]) ).

fof(f1058,plain,
    ( ! [X15] :
        ( ~ c0_1(X15)
        | c3_1(X15) )
    | ~ spl0_26
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f383,f360]) ).

fof(f1057,plain,
    ( ~ spl0_67
    | ~ spl0_68
    | ~ spl0_19
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1055,f562,f331,f572,f567]) ).

fof(f562,plain,
    ( spl0_66
  <=> c3_1(a341) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1055,plain,
    ( ~ c1_1(a341)
    | ~ c2_1(a341)
    | ~ spl0_19
    | ~ spl0_66 ),
    inference(resolution,[],[f564,f332]) ).

fof(f564,plain,
    ( c3_1(a341)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f1053,plain,
    ( ~ spl0_19
    | ~ spl0_63
    | ~ spl0_64
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f1052]) ).

fof(f1052,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_63
    | ~ spl0_64
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f1051,f548]) ).

fof(f1051,plain,
    ( ~ c2_1(a343)
    | ~ spl0_19
    | ~ spl0_64
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f1048,f553]) ).

fof(f1048,plain,
    ( ~ c1_1(a343)
    | ~ c2_1(a343)
    | ~ spl0_19
    | ~ spl0_150 ),
    inference(resolution,[],[f1045,f332]) ).

fof(f1040,plain,
    ( ~ spl0_26
    | ~ spl0_31
    | spl0_132
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f1039]) ).

fof(f1039,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_31
    | spl0_132
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1037,f916]) ).

fof(f1037,plain,
    ( c3_1(a327)
    | ~ spl0_26
    | ~ spl0_31
    | ~ spl0_134 ),
    inference(resolution,[],[f1026,f926]) ).

fof(f1026,plain,
    ( ! [X15] :
        ( ~ c0_1(X15)
        | c3_1(X15) )
    | ~ spl0_26
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f383,f360]) ).

fof(f1033,plain,
    ( ~ spl0_110
    | ~ spl0_26
    | spl0_108
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1032,f791,f786,f359,f796]) ).

fof(f796,plain,
    ( spl0_110
  <=> c0_1(a346) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f786,plain,
    ( spl0_108
  <=> c3_1(a346) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f791,plain,
    ( spl0_109
  <=> c2_1(a346) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1032,plain,
    ( ~ c0_1(a346)
    | ~ spl0_26
    | spl0_108
    | ~ spl0_109 ),
    inference(subsumption_resolution,[],[f1031,f788]) ).

fof(f788,plain,
    ( ~ c3_1(a346)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f786]) ).

fof(f1031,plain,
    ( c3_1(a346)
    | ~ c0_1(a346)
    | ~ spl0_26
    | ~ spl0_109 ),
    inference(resolution,[],[f793,f360]) ).

fof(f793,plain,
    ( c2_1(a346)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f1030,plain,
    ( ~ spl0_26
    | ~ spl0_28
    | spl0_132
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f1029]) ).

fof(f1029,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_28
    | spl0_132
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1028,f926]) ).

fof(f1028,plain,
    ( ~ c0_1(a327)
    | ~ spl0_26
    | ~ spl0_28
    | spl0_132
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1027,f916]) ).

fof(f1027,plain,
    ( c3_1(a327)
    | ~ c0_1(a327)
    | ~ spl0_26
    | ~ spl0_28
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(resolution,[],[f1025,f360]) ).

fof(f1025,plain,
    ( c2_1(a327)
    | ~ spl0_28
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1024,f926]) ).

fof(f1024,plain,
    ( c2_1(a327)
    | ~ c0_1(a327)
    | ~ spl0_28
    | ~ spl0_133 ),
    inference(resolution,[],[f370,f921]) ).

fof(f370,plain,
    ( ! [X10] :
        ( ~ c1_1(X10)
        | c2_1(X10)
        | ~ c0_1(X10) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f369,plain,
    ( spl0_28
  <=> ! [X10] :
        ( ~ c1_1(X10)
        | c2_1(X10)
        | ~ c0_1(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1022,plain,
    ( ~ spl0_23
    | ~ spl0_28
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f1021]) ).

fof(f1021,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_28
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1020,f926]) ).

fof(f1020,plain,
    ( ~ c0_1(a327)
    | ~ spl0_23
    | ~ spl0_28
    | ~ spl0_133 ),
    inference(resolution,[],[f1018,f921]) ).

fof(f1018,plain,
    ( ! [X10] :
        ( ~ c1_1(X10)
        | ~ c0_1(X10) )
    | ~ spl0_23
    | ~ spl0_28 ),
    inference(subsumption_resolution,[],[f370,f348]) ).

fof(f992,plain,
    ( ~ spl0_8
    | spl0_18 ),
    inference(avatar_split_clause,[],[f11,f327,f281]) ).

fof(f281,plain,
    ( spl0_8
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f327,plain,
    ( spl0_18
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

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

fof(f6,plain,
    ( ( hskp7
      | hskp24 )
    & ( hskp11
      | hskp18
      | hskp17 )
    & ( hskp8
      | hskp24
      | hskp17 )
    & ( hskp1
      | hskp11
      | hskp25 )
    & ( hskp16
      | hskp25 )
    & ( hskp14
      | hskp17
      | hskp12 )
    & ( hskp8
      | hskp13
      | hskp4 )
    & ( hskp4
      | hskp5
      | hskp3 )
    & ( hskp2
      | hskp24
      | hskp26 )
    & ( hskp10
      | hskp3
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp5
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp17
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp28
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp2
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp4
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp3
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp13
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c0_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c2_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ c0_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c1_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp3
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp28
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X17] :
          ( ~ c2_1(X17)
          | ~ c1_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c0_1(X21)
          | c3_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c2_1(X23)
          | ~ c1_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c2_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X25] :
          ( ~ c1_1(X25)
          | ~ c0_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp23
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c0_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c1_1(X28)
          | c2_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp26
      | ! [X30] :
          ( ~ c2_1(X30)
          | ~ c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X31] :
          ( ~ c3_1(X31)
          | ~ c1_1(X31)
          | ~ c0_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c2_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X33] :
          ( ~ c1_1(X33)
          | ~ c0_1(X33)
          | c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c2_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c0_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | c3_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X37] :
          ( ~ c2_1(X37)
          | ~ c0_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c2_1(X38)
          | c3_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X39] :
          ( ~ c0_1(X39)
          | c3_1(X39)
          | c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | c3_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( ~ c2_1(X41)
          | ~ c1_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c1_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c0_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp7
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp19
      | ! [X47] :
          ( ~ c0_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp15
      | ! [X48] :
          ( c3_1(X48)
          | c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp5
      | ! [X49] :
          ( c3_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X50] :
          ( ~ c1_1(X50)
          | ~ c0_1(X50)
          | c3_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c3_1(X51)
          | c2_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c0_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c3_1(X53)
          | c2_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X54] :
          ( ~ c3_1(X54)
          | c2_1(X54)
          | c1_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c3_1(X55)
          | c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp19
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp17
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c2_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c0_1(X58)
          | c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c2_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c0_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( ! [X62] :
          ( ~ c3_1(X62)
          | ~ c1_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c0_1(X63)
          | c2_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp16
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c1_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X66] :
          ( ~ c0_1(X66)
          | c2_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp13
      | ! [X68] :
          ( ~ c2_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X69] :
          ( ~ c3_1(X69)
          | ~ c0_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | c3_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c0_1(X71)
          | c2_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c1_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( ~ c1_1(X73)
          | c3_1(X73)
          | c2_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c2_1(X74)
          | ~ c0_1(X74)
          | c1_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | c3_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X76] :
          ( ~ c3_1(X76)
          | ~ c0_1(X76)
          | c2_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( ! [X78] :
          ( ~ c3_1(X78)
          | ~ c2_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c0_1(X79)
          | c2_1(X79)
          | c1_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c3_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X81] :
          ( ~ c1_1(X81)
          | c3_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X83] :
          ( ~ c1_1(X83)
          | c3_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X85] :
          ( ~ c2_1(X85)
          | ~ c1_1(X85)
          | c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( ! [X87] :
          ( ~ c2_1(X87)
          | ~ c1_1(X87)
          | ~ c0_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c2_1(X88)
          | ~ c1_1(X88)
          | c3_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c1_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X90] :
          ( ~ c3_1(X90)
          | ~ c2_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c3_1(X91)
          | ~ c0_1(X91)
          | c2_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c1_1(X92)
          | c2_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X93] :
          ( ~ c3_1(X93)
          | ~ c2_1(X93)
          | c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c1_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( ! [X95] :
          ( ~ c0_1(X95)
          | c3_1(X95)
          | c2_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c2_1(X96)
          | ~ c0_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c1_1(X97)
          | c2_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X98] :
          ( ~ c1_1(X98)
          | c3_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c1_1(X99)
          | c2_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp5
      | ! [X100] :
          ( c3_1(X100)
          | c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X101] :
          ( ~ c2_1(X101)
          | ~ c1_1(X101)
          | ~ c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c3_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X103] :
          ( ~ c0_1(X103)
          | c2_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c3_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X105] :
          ( ~ c0_1(X105)
          | c2_1(X105)
          | c1_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c3_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X107] :
          ( ~ c3_1(X107)
          | ~ c2_1(X107)
          | ~ c1_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c2_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( ! [X109] :
          ( ~ c3_1(X109)
          | ~ c2_1(X109)
          | c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c3_1(X110)
          | ~ c0_1(X110)
          | c1_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c2_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X112] :
          ( ~ c2_1(X112)
          | ~ c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c2_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X114] :
          ( ~ c3_1(X114)
          | ~ c2_1(X114)
          | ~ c0_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c3_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X116] :
          ( ~ c2_1(X116)
          | ~ c1_1(X116)
          | ~ c0_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( c3_1(X117)
          | c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp5
      | ! [X118] :
          ( c2_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X119] :
          ( c2_1(X119)
          | c1_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X120] :
          ( ~ c2_1(X120)
          | c3_1(X120)
          | c1_1(X120)
          | ~ ndr1_0 )
      | ! [X121] :
          ( c2_1(X121)
          | c1_1(X121)
          | c0_1(X121)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X122] :
          ( ~ c3_1(X122)
          | c2_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 )
      | ! [X123] :
          ( c2_1(X123)
          | c1_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X124] :
          ( ~ c1_1(X124)
          | c2_1(X124)
          | c0_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( c2_1(X125)
          | c1_1(X125)
          | c0_1(X125)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a343)
        & c1_1(a343)
        & c0_1(a343)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a341)
        & c2_1(a341)
        & c1_1(a341)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a333)
        & c1_1(a333)
        & c0_1(a333)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a419)
        & ~ c1_1(a419)
        & c0_1(a419)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a401)
        & ~ c0_1(a401)
        & c1_1(a401)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a377)
        & c3_1(a377)
        & c1_1(a377)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a367)
        & ~ c1_1(a367)
        & c3_1(a367)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a359)
        & ~ c0_1(a359)
        & c3_1(a359)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a358)
        & ~ c0_1(a358)
        & c2_1(a358)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a355)
        & c2_1(a355)
        & c1_1(a355)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a354)
        & ~ c2_1(a354)
        & c1_1(a354)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a353)
        & c2_1(a353)
        & c1_1(a353)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a349)
        & c3_1(a349)
        & c1_1(a349)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a348)
        & ~ c1_1(a348)
        & c0_1(a348)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a347)
        & c3_1(a347)
        & c2_1(a347)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a346)
        & c2_1(a346)
        & c0_1(a346)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a345)
        & c3_1(a345)
        & c0_1(a345)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a338)
        & ~ c1_1(a338)
        & ~ c0_1(a338)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a337)
        & ~ c2_1(a337)
        & c0_1(a337)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a334)
        & ~ c0_1(a334)
        & c2_1(a334)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a332)
        & ~ c2_1(a332)
        & ~ c0_1(a332)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a330)
        & ~ c0_1(a330)
        & c3_1(a330)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a329)
        & ~ c1_1(a329)
        & c2_1(a329)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a327)
        & c1_1(a327)
        & c0_1(a327)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a326)
        & c2_1(a326)
        & c0_1(a326)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a325)
        & c1_1(a325)
        & c0_1(a325)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a324)
        & ~ c1_1(a324)
        & ~ c0_1(a324)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a323)
        & ~ c2_1(a323)
        & ~ c1_1(a323)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a322)
        & c3_1(a322)
        & c2_1(a322)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp7
      | hskp24 )
    & ( hskp11
      | hskp18
      | hskp17 )
    & ( hskp8
      | hskp24
      | hskp17 )
    & ( hskp1
      | hskp11
      | hskp25 )
    & ( hskp16
      | hskp25 )
    & ( hskp14
      | hskp17
      | hskp12 )
    & ( hskp8
      | hskp13
      | hskp4 )
    & ( hskp4
      | hskp5
      | hskp3 )
    & ( hskp2
      | hskp24
      | hskp26 )
    & ( hskp10
      | hskp3
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp5
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp17
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp28
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp2
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp4
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp3
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp13
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c0_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c2_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ c0_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c1_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp3
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp28
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X17] :
          ( ~ c2_1(X17)
          | ~ c1_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c0_1(X21)
          | c3_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c2_1(X23)
          | ~ c1_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c2_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X25] :
          ( ~ c1_1(X25)
          | ~ c0_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp23
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c0_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c1_1(X28)
          | c2_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp26
      | ! [X30] :
          ( ~ c2_1(X30)
          | ~ c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X31] :
          ( ~ c3_1(X31)
          | ~ c1_1(X31)
          | ~ c0_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c2_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X33] :
          ( ~ c1_1(X33)
          | ~ c0_1(X33)
          | c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c2_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c0_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | c3_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X37] :
          ( ~ c2_1(X37)
          | ~ c0_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c2_1(X38)
          | c3_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X39] :
          ( ~ c0_1(X39)
          | c3_1(X39)
          | c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | c3_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( ~ c2_1(X41)
          | ~ c1_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c1_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c0_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp7
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp19
      | ! [X47] :
          ( ~ c0_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp15
      | ! [X48] :
          ( c3_1(X48)
          | c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp5
      | ! [X49] :
          ( c3_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X50] :
          ( ~ c1_1(X50)
          | ~ c0_1(X50)
          | c3_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c3_1(X51)
          | c2_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c0_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c3_1(X53)
          | c2_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X54] :
          ( ~ c3_1(X54)
          | c2_1(X54)
          | c1_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c3_1(X55)
          | c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp19
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp17
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c2_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c0_1(X58)
          | c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c2_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c0_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( ! [X62] :
          ( ~ c3_1(X62)
          | ~ c1_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c0_1(X63)
          | c2_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp16
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c1_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X66] :
          ( ~ c0_1(X66)
          | c2_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp13
      | ! [X68] :
          ( ~ c2_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X69] :
          ( ~ c3_1(X69)
          | ~ c0_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | c3_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c0_1(X71)
          | c2_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c1_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( ~ c1_1(X73)
          | c3_1(X73)
          | c2_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c2_1(X74)
          | ~ c0_1(X74)
          | c1_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | c3_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X76] :
          ( ~ c3_1(X76)
          | ~ c0_1(X76)
          | c2_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( ! [X78] :
          ( ~ c3_1(X78)
          | ~ c2_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c0_1(X79)
          | c2_1(X79)
          | c1_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c3_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X81] :
          ( ~ c1_1(X81)
          | c3_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X83] :
          ( ~ c1_1(X83)
          | c3_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X85] :
          ( ~ c2_1(X85)
          | ~ c1_1(X85)
          | c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( ! [X87] :
          ( ~ c2_1(X87)
          | ~ c1_1(X87)
          | ~ c0_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c2_1(X88)
          | ~ c1_1(X88)
          | c3_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c1_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X90] :
          ( ~ c3_1(X90)
          | ~ c2_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c3_1(X91)
          | ~ c0_1(X91)
          | c2_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c1_1(X92)
          | c2_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X93] :
          ( ~ c3_1(X93)
          | ~ c2_1(X93)
          | c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c1_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( ! [X95] :
          ( ~ c0_1(X95)
          | c3_1(X95)
          | c2_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c2_1(X96)
          | ~ c0_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c1_1(X97)
          | c2_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X98] :
          ( ~ c1_1(X98)
          | c3_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c1_1(X99)
          | c2_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp5
      | ! [X100] :
          ( c3_1(X100)
          | c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X101] :
          ( ~ c2_1(X101)
          | ~ c1_1(X101)
          | ~ c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c3_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X103] :
          ( ~ c0_1(X103)
          | c2_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c3_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X105] :
          ( ~ c0_1(X105)
          | c2_1(X105)
          | c1_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c3_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X107] :
          ( ~ c3_1(X107)
          | ~ c2_1(X107)
          | ~ c1_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c2_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( ! [X109] :
          ( ~ c3_1(X109)
          | ~ c2_1(X109)
          | c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c3_1(X110)
          | ~ c0_1(X110)
          | c1_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c2_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X112] :
          ( ~ c2_1(X112)
          | ~ c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c2_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X114] :
          ( ~ c3_1(X114)
          | ~ c2_1(X114)
          | ~ c0_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c3_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X116] :
          ( ~ c2_1(X116)
          | ~ c1_1(X116)
          | ~ c0_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( c3_1(X117)
          | c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp5
      | ! [X118] :
          ( c2_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X119] :
          ( c2_1(X119)
          | c1_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X120] :
          ( ~ c2_1(X120)
          | c3_1(X120)
          | c1_1(X120)
          | ~ ndr1_0 )
      | ! [X121] :
          ( c2_1(X121)
          | c1_1(X121)
          | c0_1(X121)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X122] :
          ( ~ c3_1(X122)
          | c2_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 )
      | ! [X123] :
          ( c2_1(X123)
          | c1_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X124] :
          ( ~ c1_1(X124)
          | c2_1(X124)
          | c0_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( c2_1(X125)
          | c1_1(X125)
          | c0_1(X125)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a343)
        & c1_1(a343)
        & c0_1(a343)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a341)
        & c2_1(a341)
        & c1_1(a341)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a333)
        & c1_1(a333)
        & c0_1(a333)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a419)
        & ~ c1_1(a419)
        & c0_1(a419)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a401)
        & ~ c0_1(a401)
        & c1_1(a401)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a377)
        & c3_1(a377)
        & c1_1(a377)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a367)
        & ~ c1_1(a367)
        & c3_1(a367)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a359)
        & ~ c0_1(a359)
        & c3_1(a359)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a358)
        & ~ c0_1(a358)
        & c2_1(a358)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a355)
        & c2_1(a355)
        & c1_1(a355)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a354)
        & ~ c2_1(a354)
        & c1_1(a354)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a353)
        & c2_1(a353)
        & c1_1(a353)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a349)
        & c3_1(a349)
        & c1_1(a349)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a348)
        & ~ c1_1(a348)
        & c0_1(a348)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a347)
        & c3_1(a347)
        & c2_1(a347)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a346)
        & c2_1(a346)
        & c0_1(a346)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a345)
        & c3_1(a345)
        & c0_1(a345)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a338)
        & ~ c1_1(a338)
        & ~ c0_1(a338)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a337)
        & ~ c2_1(a337)
        & c0_1(a337)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a334)
        & ~ c0_1(a334)
        & c2_1(a334)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a332)
        & ~ c2_1(a332)
        & ~ c0_1(a332)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a330)
        & ~ c0_1(a330)
        & c3_1(a330)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a329)
        & ~ c1_1(a329)
        & c2_1(a329)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a327)
        & c1_1(a327)
        & c0_1(a327)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a326)
        & c2_1(a326)
        & c0_1(a326)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a325)
        & c1_1(a325)
        & c0_1(a325)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a324)
        & ~ c1_1(a324)
        & ~ c0_1(a324)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a323)
        & ~ c2_1(a323)
        & ~ c1_1(a323)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a322)
        & c3_1(a322)
        & c2_1(a322)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp7
      | hskp24 )
    & ( hskp11
      | hskp18
      | hskp17 )
    & ( hskp8
      | hskp24
      | hskp17 )
    & ( hskp1
      | hskp11
      | hskp25 )
    & ( hskp16
      | hskp25 )
    & ( hskp14
      | hskp17
      | hskp12 )
    & ( hskp8
      | hskp13
      | hskp4 )
    & ( hskp4
      | hskp5
      | hskp3 )
    & ( hskp2
      | hskp24
      | hskp26 )
    & ( hskp10
      | hskp3
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp16
      | hskp5
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp10
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c1_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp24
      | hskp17
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | ~ c0_1(X4) ) ) )
    & ( hskp7
      | hskp28
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c1_1(X5)
            | c3_1(X5) ) ) )
    & ( hskp1
      | hskp2
      | ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | ~ c0_1(X6)
            | c3_1(X6) ) ) )
    & ( hskp16
      | hskp4
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c0_1(X7)
            | c3_1(X7) ) ) )
    & ( hskp10
      | hskp3
      | ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | ~ c0_1(X8)
            | c3_1(X8) ) ) )
    & ( hskp28
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c1_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp12
      | hskp13
      | ! [X10] :
          ( ndr1_0
         => ( ~ c1_1(X10)
            | ~ c0_1(X10)
            | c2_1(X10) ) ) )
    & ( hskp20
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c2_1(X11)
            | ~ c1_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c1_1(X12)
            | ~ c0_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp8
      | ! [X13] :
          ( ndr1_0
         => ( ~ c1_1(X13)
            | ~ c0_1(X13)
            | c3_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c1_1(X14)
            | ~ c0_1(X14)
            | c2_1(X14) ) ) )
    & ( hskp8
      | hskp3
      | ! [X15] :
          ( ndr1_0
         => ( ~ c0_1(X15)
            | c3_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp27
      | hskp28
      | ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | c3_1(X16)
            | c2_1(X16) ) ) )
    & ( hskp10
      | ! [X17] :
          ( ndr1_0
         => ( ~ c2_1(X17)
            | ~ c1_1(X17)
            | ~ c0_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c0_1(X18)
            | c3_1(X18)
            | c2_1(X18) ) ) )
    & ( ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c2_1(X19)
            | ~ c0_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c0_1(X20)
            | c2_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c0_1(X21)
            | c3_1(X21)
            | c2_1(X21) ) ) )
    & ( hskp15
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c2_1(X22)
            | c1_1(X22) ) ) )
    & ( hskp22
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c2_1(X23)
            | ~ c1_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c2_1(X24)
            | c1_1(X24) ) ) )
    & ( hskp17
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | ~ c0_1(X25)
            | c2_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c2_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp22
      | hskp23
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c0_1(X27)
            | c1_1(X27) ) ) )
    & ( hskp14
      | ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c1_1(X28)
            | c2_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | ~ c0_1(X29)
            | c1_1(X29) ) ) )
    & ( hskp27
      | hskp26
      | ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | ~ c0_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp6
      | ! [X31] :
          ( ndr1_0
         => ( ~ c3_1(X31)
            | ~ c1_1(X31)
            | ~ c0_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c2_1(X32)
            | ~ c0_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp19
      | ! [X33] :
          ( ndr1_0
         => ( ~ c1_1(X33)
            | ~ c0_1(X33)
            | c3_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c2_1(X34)
            | ~ c0_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp19
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c0_1(X35)
            | c1_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c2_1(X36)
            | c3_1(X36)
            | c1_1(X36) ) ) )
    & ( hskp5
      | ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | ~ c0_1(X37)
            | c1_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c2_1(X38)
            | c3_1(X38)
            | c1_1(X38) ) ) )
    & ( hskp22
      | ! [X39] :
          ( ndr1_0
         => ( ~ c0_1(X39)
            | c3_1(X39)
            | c2_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c0_1(X40)
            | c3_1(X40)
            | c1_1(X40) ) ) )
    & ( ! [X41] :
          ( ndr1_0
         => ( ~ c2_1(X41)
            | ~ c1_1(X41)
            | ~ c0_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | ~ c1_1(X42)
            | c2_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | c2_1(X43)
            | c1_1(X43) ) ) )
    & ( hskp2
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c0_1(X44)
            | c2_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | c2_1(X45)
            | c1_1(X45) ) ) )
    & ( hskp22
      | hskp7
      | ! [X46] :
          ( ndr1_0
         => ( ~ c0_1(X46)
            | c2_1(X46)
            | c1_1(X46) ) ) )
    & ( hskp0
      | hskp19
      | ! [X47] :
          ( ndr1_0
         => ( ~ c0_1(X47)
            | c2_1(X47)
            | c1_1(X47) ) ) )
    & ( hskp16
      | hskp15
      | ! [X48] :
          ( ndr1_0
         => ( c3_1(X48)
            | c2_1(X48)
            | c1_1(X48) ) ) )
    & ( hskp14
      | hskp5
      | ! [X49] :
          ( ndr1_0
         => ( c3_1(X49)
            | c2_1(X49)
            | c1_1(X49) ) ) )
    & ( hskp21
      | ! [X50] :
          ( ndr1_0
         => ( ~ c1_1(X50)
            | ~ c0_1(X50)
            | c3_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( c3_1(X51)
            | c2_1(X51)
            | c1_1(X51) ) ) )
    & ( hskp20
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c0_1(X52)
            | c1_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c3_1(X53)
            | c2_1(X53)
            | c1_1(X53) ) ) )
    & ( hskp12
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | c2_1(X54)
            | c1_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c3_1(X55)
            | c2_1(X55)
            | c1_1(X55) ) ) )
    & ( hskp11
      | hskp19
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c2_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp18
      | hskp17
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c2_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp4
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | ~ c0_1(X58)
            | c3_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c2_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp12
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | ~ c0_1(X60)
            | c1_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | ~ c1_1(X61)
            | c0_1(X61) ) ) )
    & ( ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c1_1(X62)
            | c2_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c0_1(X63)
            | c2_1(X63)
            | c1_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | ~ c1_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp9
      | hskp16
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | ~ c1_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp15
      | ! [X66] :
          ( ndr1_0
         => ( ~ c0_1(X66)
            | c2_1(X66)
            | c1_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | ~ c1_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp14
      | hskp13
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | c3_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp12
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | ~ c0_1(X69)
            | c1_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | c3_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp26
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | ~ c0_1(X71)
            | c2_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c1_1(X72)
            | c3_1(X72)
            | c0_1(X72) ) ) )
    & ( ! [X73] :
          ( ndr1_0
         => ( ~ c1_1(X73)
            | c3_1(X73)
            | c2_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c2_1(X74)
            | ~ c0_1(X74)
            | c1_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | c3_1(X75)
            | c0_1(X75) ) ) )
    & ( hskp28
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | ~ c0_1(X76)
            | c2_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | c2_1(X77)
            | c0_1(X77) ) ) )
    & ( ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | ~ c2_1(X78)
            | c1_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c0_1(X79)
            | c2_1(X79)
            | c1_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | c2_1(X80)
            | c0_1(X80) ) ) )
    & ( hskp7
      | ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | c3_1(X81)
            | c0_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | c2_1(X82)
            | c0_1(X82) ) ) )
    & ( hskp27
      | ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | c3_1(X83)
            | c0_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | c2_1(X84)
            | c0_1(X84) ) ) )
    & ( hskp4
      | ! [X85] :
          ( ndr1_0
         => ( ~ c2_1(X85)
            | ~ c1_1(X85)
            | c3_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | c2_1(X86)
            | c0_1(X86) ) ) )
    & ( ! [X87] :
          ( ndr1_0
         => ( ~ c2_1(X87)
            | ~ c1_1(X87)
            | ~ c0_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c2_1(X88)
            | ~ c1_1(X88)
            | c3_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c1_1(X89)
            | c2_1(X89)
            | c0_1(X89) ) ) )
    & ( ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | ~ c2_1(X90)
            | ~ c0_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | ~ c0_1(X91)
            | c2_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( ~ c1_1(X92)
            | c2_1(X92)
            | c0_1(X92) ) ) )
    & ( hskp5
      | ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | ~ c2_1(X93)
            | c1_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( ~ c1_1(X94)
            | c2_1(X94)
            | c0_1(X94) ) ) )
    & ( ! [X95] :
          ( ndr1_0
         => ( ~ c0_1(X95)
            | c3_1(X95)
            | c2_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c2_1(X96)
            | ~ c0_1(X96)
            | c1_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c1_1(X97)
            | c2_1(X97)
            | c0_1(X97) ) ) )
    & ( hskp11
      | ! [X98] :
          ( ndr1_0
         => ( ~ c1_1(X98)
            | c3_1(X98)
            | c0_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c1_1(X99)
            | c2_1(X99)
            | c0_1(X99) ) ) )
    & ( hskp10
      | hskp5
      | ! [X100] :
          ( ndr1_0
         => ( c3_1(X100)
            | c2_1(X100)
            | c0_1(X100) ) ) )
    & ( hskp7
      | ! [X101] :
          ( ndr1_0
         => ( ~ c2_1(X101)
            | ~ c1_1(X101)
            | ~ c0_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | c1_1(X102)
            | c0_1(X102) ) ) )
    & ( hskp9
      | ! [X103] :
          ( ndr1_0
         => ( ~ c0_1(X103)
            | c2_1(X103)
            | c1_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( ~ c3_1(X104)
            | c1_1(X104)
            | c0_1(X104) ) ) )
    & ( hskp26
      | ! [X105] :
          ( ndr1_0
         => ( ~ c0_1(X105)
            | c2_1(X105)
            | c1_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c3_1(X106)
            | c1_1(X106)
            | c0_1(X106) ) ) )
    & ( hskp8
      | ! [X107] :
          ( ndr1_0
         => ( ~ c3_1(X107)
            | ~ c2_1(X107)
            | ~ c1_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c2_1(X108)
            | c1_1(X108)
            | c0_1(X108) ) ) )
    & ( ! [X109] :
          ( ndr1_0
         => ( ~ c3_1(X109)
            | ~ c2_1(X109)
            | c1_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( ~ c3_1(X110)
            | ~ c0_1(X110)
            | c1_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( ~ c2_1(X111)
            | c1_1(X111)
            | c0_1(X111) ) ) )
    & ( hskp5
      | ! [X112] :
          ( ndr1_0
         => ( ~ c2_1(X112)
            | ~ c1_1(X112)
            | c0_1(X112) ) )
      | ! [X113] :
          ( ndr1_0
         => ( ~ c2_1(X113)
            | c1_1(X113)
            | c0_1(X113) ) ) )
    & ( hskp7
      | ! [X114] :
          ( ndr1_0
         => ( ~ c3_1(X114)
            | ~ c2_1(X114)
            | ~ c0_1(X114) ) )
      | ! [X115] :
          ( ndr1_0
         => ( c3_1(X115)
            | c1_1(X115)
            | c0_1(X115) ) ) )
    & ( hskp6
      | ! [X116] :
          ( ndr1_0
         => ( ~ c2_1(X116)
            | ~ c1_1(X116)
            | ~ c0_1(X116) ) )
      | ! [X117] :
          ( ndr1_0
         => ( c3_1(X117)
            | c1_1(X117)
            | c0_1(X117) ) ) )
    & ( hskp1
      | hskp5
      | ! [X118] :
          ( ndr1_0
         => ( c2_1(X118)
            | c1_1(X118)
            | c0_1(X118) ) ) )
    & ( hskp4
      | hskp3
      | ! [X119] :
          ( ndr1_0
         => ( c2_1(X119)
            | c1_1(X119)
            | c0_1(X119) ) ) )
    & ( hskp2
      | ! [X120] :
          ( ndr1_0
         => ( ~ c2_1(X120)
            | c3_1(X120)
            | c1_1(X120) ) )
      | ! [X121] :
          ( ndr1_0
         => ( c2_1(X121)
            | c1_1(X121)
            | c0_1(X121) ) ) )
    & ( hskp1
      | ! [X122] :
          ( ndr1_0
         => ( ~ c3_1(X122)
            | c2_1(X122)
            | c0_1(X122) ) )
      | ! [X123] :
          ( ndr1_0
         => ( c2_1(X123)
            | c1_1(X123)
            | c0_1(X123) ) ) )
    & ( hskp0
      | ! [X124] :
          ( ndr1_0
         => ( ~ c1_1(X124)
            | c2_1(X124)
            | c0_1(X124) ) )
      | ! [X125] :
          ( ndr1_0
         => ( c2_1(X125)
            | c1_1(X125)
            | c0_1(X125) ) ) )
    & ( ( c2_1(a343)
        & c1_1(a343)
        & c0_1(a343)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a341)
        & c2_1(a341)
        & c1_1(a341)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a333)
        & c1_1(a333)
        & c0_1(a333)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a419)
        & ~ c1_1(a419)
        & c0_1(a419)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a401)
        & ~ c0_1(a401)
        & c1_1(a401)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a377)
        & c3_1(a377)
        & c1_1(a377)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a367)
        & ~ c1_1(a367)
        & c3_1(a367)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a359)
        & ~ c0_1(a359)
        & c3_1(a359)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a358)
        & ~ c0_1(a358)
        & c2_1(a358)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a355)
        & c2_1(a355)
        & c1_1(a355)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a354)
        & ~ c2_1(a354)
        & c1_1(a354)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a353)
        & c2_1(a353)
        & c1_1(a353)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a349)
        & c3_1(a349)
        & c1_1(a349)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a348)
        & ~ c1_1(a348)
        & c0_1(a348)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a347)
        & c3_1(a347)
        & c2_1(a347)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a346)
        & c2_1(a346)
        & c0_1(a346)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a345)
        & c3_1(a345)
        & c0_1(a345)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a338)
        & ~ c1_1(a338)
        & ~ c0_1(a338)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a337)
        & ~ c2_1(a337)
        & c0_1(a337)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a334)
        & ~ c0_1(a334)
        & c2_1(a334)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a332)
        & ~ c2_1(a332)
        & ~ c0_1(a332)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a330)
        & ~ c0_1(a330)
        & c3_1(a330)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a329)
        & ~ c1_1(a329)
        & c2_1(a329)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a327)
        & c1_1(a327)
        & c0_1(a327)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a326)
        & c2_1(a326)
        & c0_1(a326)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a325)
        & c1_1(a325)
        & c0_1(a325)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a324)
        & ~ c1_1(a324)
        & ~ c0_1(a324)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a323)
        & ~ c2_1(a323)
        & ~ c1_1(a323)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a322)
        & c3_1(a322)
        & c2_1(a322)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp7
          | hskp24 )
        & ( hskp11
          | hskp18
          | hskp17 )
        & ( hskp8
          | hskp24
          | hskp17 )
        & ( hskp1
          | hskp11
          | hskp25 )
        & ( hskp16
          | hskp25 )
        & ( hskp14
          | hskp17
          | hskp12 )
        & ( hskp8
          | hskp13
          | hskp4 )
        & ( hskp4
          | hskp5
          | hskp3 )
        & ( hskp2
          | hskp24
          | hskp26 )
        & ( hskp10
          | hskp3
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp16
          | hskp5
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp10
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c1_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp24
          | hskp17
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | ~ c0_1(X4) ) ) )
        & ( hskp7
          | hskp28
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c1_1(X5)
                | c3_1(X5) ) ) )
        & ( hskp1
          | hskp2
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c0_1(X6)
                | c3_1(X6) ) ) )
        & ( hskp16
          | hskp4
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c0_1(X7)
                | c3_1(X7) ) ) )
        & ( hskp10
          | hskp3
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | ~ c0_1(X8)
                | c3_1(X8) ) ) )
        & ( hskp28
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c1_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp12
          | hskp13
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | ~ c0_1(X10)
                | c2_1(X10) ) ) )
        & ( hskp20
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c2_1(X11)
                | ~ c1_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | ~ c0_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp8
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | ~ c0_1(X13)
                | c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | ~ c0_1(X14)
                | c2_1(X14) ) ) )
        & ( hskp8
          | hskp3
          | ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | c3_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp27
          | hskp28
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) ) )
        & ( hskp10
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | ~ c1_1(X17)
                | ~ c0_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | c3_1(X18)
                | c2_1(X18) ) ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c2_1(X19)
                | ~ c0_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c0_1(X20)
                | c2_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c0_1(X21)
                | c3_1(X21)
                | c2_1(X21) ) ) )
        & ( hskp15
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | c1_1(X22) ) ) )
        & ( hskp22
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c2_1(X23)
                | ~ c1_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c2_1(X24)
                | c1_1(X24) ) ) )
        & ( hskp17
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | ~ c0_1(X25)
                | c2_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c2_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp22
          | hskp23
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c0_1(X27)
                | c1_1(X27) ) ) )
        & ( hskp14
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c1_1(X28)
                | c2_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c0_1(X29)
                | c1_1(X29) ) ) )
        & ( hskp27
          | hskp26
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | ~ c0_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp6
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | ~ c1_1(X31)
                | ~ c0_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | ~ c0_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp19
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | ~ c0_1(X33)
                | c3_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | ~ c0_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp19
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c0_1(X35)
                | c1_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | c3_1(X36)
                | c1_1(X36) ) ) )
        & ( hskp5
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c0_1(X37)
                | c1_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | c3_1(X38)
                | c1_1(X38) ) ) )
        & ( hskp22
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | c3_1(X39)
                | c2_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | c3_1(X40)
                | c1_1(X40) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | ~ c1_1(X41)
                | ~ c0_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c1_1(X42)
                | c2_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c2_1(X43)
                | c1_1(X43) ) ) )
        & ( hskp2
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c0_1(X44)
                | c2_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | c2_1(X45)
                | c1_1(X45) ) ) )
        & ( hskp22
          | hskp7
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) ) )
        & ( hskp0
          | hskp19
          | ! [X47] :
              ( ndr1_0
             => ( ~ c0_1(X47)
                | c2_1(X47)
                | c1_1(X47) ) ) )
        & ( hskp16
          | hskp15
          | ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | c2_1(X48)
                | c1_1(X48) ) ) )
        & ( hskp14
          | hskp5
          | ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | c2_1(X49)
                | c1_1(X49) ) ) )
        & ( hskp21
          | ! [X50] :
              ( ndr1_0
             => ( ~ c1_1(X50)
                | ~ c0_1(X50)
                | c3_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c3_1(X51)
                | c2_1(X51)
                | c1_1(X51) ) ) )
        & ( hskp20
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c0_1(X52)
                | c1_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c3_1(X53)
                | c2_1(X53)
                | c1_1(X53) ) ) )
        & ( hskp12
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | c2_1(X54)
                | c1_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c3_1(X55)
                | c2_1(X55)
                | c1_1(X55) ) ) )
        & ( hskp11
          | hskp19
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c2_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp18
          | hskp17
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c2_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp4
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c0_1(X58)
                | c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c2_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp12
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c0_1(X60)
                | c1_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c1_1(X62)
                | c2_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | c2_1(X63)
                | c1_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp9
          | hskp16
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c1_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp15
          | ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | c2_1(X66)
                | c1_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c1_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp14
          | hskp13
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | c3_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp12
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c0_1(X69)
                | c1_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | c3_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp26
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c0_1(X71)
                | c2_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | c3_1(X72)
                | c0_1(X72) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | c3_1(X73)
                | c2_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | ~ c0_1(X74)
                | c1_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | c3_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp28
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c0_1(X76)
                | c2_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c2_1(X77)
                | c0_1(X77) ) ) )
        & ( ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c2_1(X78)
                | c1_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c2_1(X79)
                | c1_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c0_1(X80) ) ) )
        & ( hskp7
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | c3_1(X81)
                | c0_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c2_1(X82)
                | c0_1(X82) ) ) )
        & ( hskp27
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | c3_1(X83)
                | c0_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | c2_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp4
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | ~ c1_1(X85)
                | c3_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c2_1(X86)
                | c0_1(X86) ) ) )
        & ( ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c1_1(X87)
                | ~ c0_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c1_1(X88)
                | c3_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | c2_1(X89)
                | c0_1(X89) ) ) )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c2_1(X90)
                | ~ c0_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c0_1(X91)
                | c2_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | c2_1(X92)
                | c0_1(X92) ) ) )
        & ( hskp5
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c2_1(X93)
                | c1_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | c2_1(X94)
                | c0_1(X94) ) ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c0_1(X95)
                | c3_1(X95)
                | c2_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | ~ c0_1(X96)
                | c1_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | c2_1(X97)
                | c0_1(X97) ) ) )
        & ( hskp11
          | ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | c3_1(X98)
                | c0_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | c2_1(X99)
                | c0_1(X99) ) ) )
        & ( hskp10
          | hskp5
          | ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | c2_1(X100)
                | c0_1(X100) ) ) )
        & ( hskp7
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c1_1(X101)
                | ~ c0_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | c1_1(X102)
                | c0_1(X102) ) ) )
        & ( hskp9
          | ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | c2_1(X103)
                | c1_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | c1_1(X104)
                | c0_1(X104) ) ) )
        & ( hskp26
          | ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | c2_1(X105)
                | c1_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | c1_1(X106)
                | c0_1(X106) ) ) )
        & ( hskp8
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c2_1(X107)
                | ~ c1_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | c1_1(X108)
                | c0_1(X108) ) ) )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | ~ c2_1(X109)
                | c1_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c0_1(X110)
                | c1_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | c1_1(X111)
                | c0_1(X111) ) ) )
        & ( hskp5
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c1_1(X112)
                | c0_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c2_1(X113)
                | c1_1(X113)
                | c0_1(X113) ) ) )
        & ( hskp7
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c2_1(X114)
                | ~ c0_1(X114) ) )
          | ! [X115] :
              ( ndr1_0
             => ( c3_1(X115)
                | c1_1(X115)
                | c0_1(X115) ) ) )
        & ( hskp6
          | ! [X116] :
              ( ndr1_0
             => ( ~ c2_1(X116)
                | ~ c1_1(X116)
                | ~ c0_1(X116) ) )
          | ! [X117] :
              ( ndr1_0
             => ( c3_1(X117)
                | c1_1(X117)
                | c0_1(X117) ) ) )
        & ( hskp1
          | hskp5
          | ! [X118] :
              ( ndr1_0
             => ( c2_1(X118)
                | c1_1(X118)
                | c0_1(X118) ) ) )
        & ( hskp4
          | hskp3
          | ! [X119] :
              ( ndr1_0
             => ( c2_1(X119)
                | c1_1(X119)
                | c0_1(X119) ) ) )
        & ( hskp2
          | ! [X120] :
              ( ndr1_0
             => ( ~ c2_1(X120)
                | c3_1(X120)
                | c1_1(X120) ) )
          | ! [X121] :
              ( ndr1_0
             => ( c2_1(X121)
                | c1_1(X121)
                | c0_1(X121) ) ) )
        & ( hskp1
          | ! [X122] :
              ( ndr1_0
             => ( ~ c3_1(X122)
                | c2_1(X122)
                | c0_1(X122) ) )
          | ! [X123] :
              ( ndr1_0
             => ( c2_1(X123)
                | c1_1(X123)
                | c0_1(X123) ) ) )
        & ( hskp0
          | ! [X124] :
              ( ndr1_0
             => ( ~ c1_1(X124)
                | c2_1(X124)
                | c0_1(X124) ) )
          | ! [X125] :
              ( ndr1_0
             => ( c2_1(X125)
                | c1_1(X125)
                | c0_1(X125) ) ) )
        & ( ( c2_1(a343)
            & c1_1(a343)
            & c0_1(a343)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a341)
            & c2_1(a341)
            & c1_1(a341)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a333)
            & c1_1(a333)
            & c0_1(a333)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a419)
            & ~ c1_1(a419)
            & c0_1(a419)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a401)
            & ~ c0_1(a401)
            & c1_1(a401)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c0_1(a377)
            & c3_1(a377)
            & c1_1(a377)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a367)
            & ~ c1_1(a367)
            & c3_1(a367)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a359)
            & ~ c0_1(a359)
            & c3_1(a359)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a358)
            & ~ c0_1(a358)
            & c2_1(a358)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a355)
            & c2_1(a355)
            & c1_1(a355)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a354)
            & ~ c2_1(a354)
            & c1_1(a354)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c0_1(a353)
            & c2_1(a353)
            & c1_1(a353)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a349)
            & c3_1(a349)
            & c1_1(a349)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a348)
            & ~ c1_1(a348)
            & c0_1(a348)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a347)
            & c3_1(a347)
            & c2_1(a347)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a346)
            & c2_1(a346)
            & c0_1(a346)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a345)
            & c3_1(a345)
            & c0_1(a345)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a338)
            & ~ c1_1(a338)
            & ~ c0_1(a338)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a337)
            & ~ c2_1(a337)
            & c0_1(a337)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a334)
            & ~ c0_1(a334)
            & c2_1(a334)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a332)
            & ~ c2_1(a332)
            & ~ c0_1(a332)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c1_1(a330)
            & ~ c0_1(a330)
            & c3_1(a330)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a329)
            & ~ c1_1(a329)
            & c2_1(a329)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a327)
            & c1_1(a327)
            & c0_1(a327)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a326)
            & c2_1(a326)
            & c0_1(a326)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a325)
            & c1_1(a325)
            & c0_1(a325)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a324)
            & ~ c1_1(a324)
            & ~ c0_1(a324)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a323)
            & ~ c2_1(a323)
            & ~ c1_1(a323)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c0_1(a322)
            & c3_1(a322)
            & c2_1(a322)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp7
          | hskp24 )
        & ( hskp11
          | hskp18
          | hskp17 )
        & ( hskp8
          | hskp24
          | hskp17 )
        & ( hskp1
          | hskp11
          | hskp25 )
        & ( hskp16
          | hskp25 )
        & ( hskp14
          | hskp17
          | hskp12 )
        & ( hskp8
          | hskp13
          | hskp4 )
        & ( hskp4
          | hskp5
          | hskp3 )
        & ( hskp2
          | hskp24
          | hskp26 )
        & ( hskp10
          | hskp3
          | ! [X125] :
              ( ndr1_0
             => ( ~ c3_1(X125)
                | ~ c2_1(X125)
                | ~ c1_1(X125) ) ) )
        & ( hskp16
          | hskp5
          | ! [X124] :
              ( ndr1_0
             => ( ~ c3_1(X124)
                | ~ c2_1(X124)
                | ~ c0_1(X124) ) ) )
        & ( hskp10
          | ! [X123] :
              ( ndr1_0
             => ( ~ c3_1(X123)
                | ~ c2_1(X123)
                | ~ c1_1(X123) ) )
          | ! [X122] :
              ( ndr1_0
             => ( ~ c3_1(X122)
                | ~ c1_1(X122)
                | ~ c0_1(X122) ) ) )
        & ( hskp24
          | hskp17
          | ! [X121] :
              ( ndr1_0
             => ( ~ c2_1(X121)
                | ~ c1_1(X121)
                | ~ c0_1(X121) ) ) )
        & ( hskp7
          | hskp28
          | ! [X120] :
              ( ndr1_0
             => ( ~ c2_1(X120)
                | ~ c1_1(X120)
                | c3_1(X120) ) ) )
        & ( hskp1
          | hskp2
          | ! [X119] :
              ( ndr1_0
             => ( ~ c2_1(X119)
                | ~ c0_1(X119)
                | c3_1(X119) ) ) )
        & ( hskp16
          | hskp4
          | ! [X118] :
              ( ndr1_0
             => ( ~ c2_1(X118)
                | ~ c0_1(X118)
                | c3_1(X118) ) ) )
        & ( hskp10
          | hskp3
          | ! [X117] :
              ( ndr1_0
             => ( ~ c2_1(X117)
                | ~ c0_1(X117)
                | c3_1(X117) ) ) )
        & ( hskp28
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c1_1(X116)
                | c2_1(X116) ) ) )
        & ( hskp12
          | hskp13
          | ! [X115] :
              ( ndr1_0
             => ( ~ c1_1(X115)
                | ~ c0_1(X115)
                | c2_1(X115) ) ) )
        & ( hskp20
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c2_1(X114)
                | ~ c1_1(X114) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c1_1(X113)
                | ~ c0_1(X113)
                | c2_1(X113) ) ) )
        & ( hskp8
          | ! [X112] :
              ( ndr1_0
             => ( ~ c1_1(X112)
                | ~ c0_1(X112)
                | c3_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | ~ c0_1(X111)
                | c2_1(X111) ) ) )
        & ( hskp8
          | hskp3
          | ! [X110] :
              ( ndr1_0
             => ( ~ c0_1(X110)
                | c3_1(X110)
                | c2_1(X110) ) ) )
        & ( hskp27
          | hskp28
          | ! [X109] :
              ( ndr1_0
             => ( ~ c0_1(X109)
                | c3_1(X109)
                | c2_1(X109) ) ) )
        & ( hskp10
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | ~ c1_1(X108)
                | ~ c0_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | c3_1(X107)
                | c2_1(X107) ) ) )
        & ( ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c2_1(X106)
                | ~ c0_1(X106) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c0_1(X105)
                | c2_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | c3_1(X104)
                | c2_1(X104) ) ) )
        & ( hskp15
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c2_1(X103)
                | c1_1(X103) ) ) )
        & ( hskp22
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | ~ c1_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c2_1(X101)
                | c1_1(X101) ) ) )
        & ( hskp17
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | ~ c0_1(X100)
                | c2_1(X100) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | c1_1(X99) ) ) )
        & ( hskp22
          | hskp23
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c0_1(X98)
                | c1_1(X98) ) ) )
        & ( hskp14
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c1_1(X97)
                | c2_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c1_1(X96) ) ) )
        & ( hskp27
          | hskp26
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c0_1(X95)
                | c1_1(X95) ) ) )
        & ( hskp6
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c1_1(X94)
                | ~ c0_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | ~ c0_1(X93)
                | c1_1(X93) ) ) )
        & ( hskp19
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | ~ c0_1(X92)
                | c3_1(X92) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c0_1(X91)
                | c1_1(X91) ) ) )
        & ( hskp19
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c0_1(X90)
                | c1_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | c3_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp5
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c0_1(X88)
                | c1_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | c3_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp22
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | c3_1(X86)
                | c2_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c3_1(X85)
                | c1_1(X85) ) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c1_1(X84)
                | ~ c0_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c1_1(X83)
                | c2_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c2_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp2
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c0_1(X81)
                | c2_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp22
          | hskp7
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c2_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp0
          | hskp19
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp16
          | hskp15
          | ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | c2_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp14
          | hskp5
          | ! [X76] :
              ( ndr1_0
             => ( c3_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp21
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | ~ c0_1(X75)
                | c3_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c3_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp20
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c0_1(X73)
                | c1_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c3_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp12
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | c2_1(X71)
                | c1_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp11
          | hskp19
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c2_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp18
          | hskp17
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c2_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp4
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c0_1(X67)
                | c3_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp12
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c0_1(X65)
                | c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c1_1(X63)
                | c2_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c0_1(X62)
                | c2_1(X62)
                | c1_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp9
          | hskp16
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp15
          | ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp14
          | hskp13
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | c3_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp12
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c0_1(X56)
                | c1_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | c3_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp26
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c0_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c3_1(X52)
                | c2_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c0_1(X51)
                | c1_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c1_1(X50)
                | c3_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp28
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c0_1(X49)
                | c2_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | c2_1(X48)
                | c0_1(X48) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c2_1(X47)
                | c1_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | c2_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp7
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | c3_1(X44)
                | c0_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp27
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | c3_1(X42)
                | c0_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp4
          | ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | ~ c1_1(X40)
                | c3_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | ~ c1_1(X38)
                | ~ c0_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c1_1(X37)
                | c3_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c2_1(X35)
                | ~ c0_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c0_1(X34)
                | c2_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp5
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c2_1(X32)
                | c1_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | c3_1(X30)
                | c2_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | ~ c0_1(X29)
                | c1_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp11
          | ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | c3_1(X27)
                | c0_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp10
          | hskp5
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp7
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | ~ c1_1(X24)
                | ~ c0_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | c1_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp9
          | ! [X22] :
              ( ndr1_0
             => ( ~ c0_1(X22)
                | c2_1(X22)
                | c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp26
          | ! [X20] :
              ( ndr1_0
             => ( ~ c0_1(X20)
                | c2_1(X20)
                | c1_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp8
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c2_1(X18)
                | ~ c1_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c2_1(X16)
                | c1_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c0_1(X15)
                | c1_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp5
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | ~ c1_1(X13)
                | c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp7
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c2_1(X11)
                | ~ c0_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp6
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c1_1(X9)
                | ~ c0_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c3_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp1
          | hskp5
          | ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp4
          | hskp3
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp2
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | c3_1(X5)
                | c1_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp1
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | c2_1(X3)
                | c0_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c1_1(X1)
                | c2_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c2_1(a343)
            & c1_1(a343)
            & c0_1(a343)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a341)
            & c2_1(a341)
            & c1_1(a341)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a333)
            & c1_1(a333)
            & c0_1(a333)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a419)
            & ~ c1_1(a419)
            & c0_1(a419)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a401)
            & ~ c0_1(a401)
            & c1_1(a401)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c0_1(a377)
            & c3_1(a377)
            & c1_1(a377)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a367)
            & ~ c1_1(a367)
            & c3_1(a367)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a359)
            & ~ c0_1(a359)
            & c3_1(a359)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a358)
            & ~ c0_1(a358)
            & c2_1(a358)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a355)
            & c2_1(a355)
            & c1_1(a355)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a354)
            & ~ c2_1(a354)
            & c1_1(a354)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c0_1(a353)
            & c2_1(a353)
            & c1_1(a353)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a349)
            & c3_1(a349)
            & c1_1(a349)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a348)
            & ~ c1_1(a348)
            & c0_1(a348)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a347)
            & c3_1(a347)
            & c2_1(a347)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a346)
            & c2_1(a346)
            & c0_1(a346)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a345)
            & c3_1(a345)
            & c0_1(a345)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a338)
            & ~ c1_1(a338)
            & ~ c0_1(a338)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a337)
            & ~ c2_1(a337)
            & c0_1(a337)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a334)
            & ~ c0_1(a334)
            & c2_1(a334)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a332)
            & ~ c2_1(a332)
            & ~ c0_1(a332)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c1_1(a330)
            & ~ c0_1(a330)
            & c3_1(a330)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a329)
            & ~ c1_1(a329)
            & c2_1(a329)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a327)
            & c1_1(a327)
            & c0_1(a327)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a326)
            & c2_1(a326)
            & c0_1(a326)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a325)
            & c1_1(a325)
            & c0_1(a325)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a324)
            & ~ c1_1(a324)
            & ~ c0_1(a324)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a323)
            & ~ c2_1(a323)
            & ~ c1_1(a323)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c0_1(a322)
            & c3_1(a322)
            & c2_1(a322)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp7
        | hskp24 )
      & ( hskp11
        | hskp18
        | hskp17 )
      & ( hskp8
        | hskp24
        | hskp17 )
      & ( hskp1
        | hskp11
        | hskp25 )
      & ( hskp16
        | hskp25 )
      & ( hskp14
        | hskp17
        | hskp12 )
      & ( hskp8
        | hskp13
        | hskp4 )
      & ( hskp4
        | hskp5
        | hskp3 )
      & ( hskp2
        | hskp24
        | hskp26 )
      & ( hskp10
        | hskp3
        | ! [X125] :
            ( ndr1_0
           => ( ~ c3_1(X125)
              | ~ c2_1(X125)
              | ~ c1_1(X125) ) ) )
      & ( hskp16
        | hskp5
        | ! [X124] :
            ( ndr1_0
           => ( ~ c3_1(X124)
              | ~ c2_1(X124)
              | ~ c0_1(X124) ) ) )
      & ( hskp10
        | ! [X123] :
            ( ndr1_0
           => ( ~ c3_1(X123)
              | ~ c2_1(X123)
              | ~ c1_1(X123) ) )
        | ! [X122] :
            ( ndr1_0
           => ( ~ c3_1(X122)
              | ~ c1_1(X122)
              | ~ c0_1(X122) ) ) )
      & ( hskp24
        | hskp17
        | ! [X121] :
            ( ndr1_0
           => ( ~ c2_1(X121)
              | ~ c1_1(X121)
              | ~ c0_1(X121) ) ) )
      & ( hskp7
        | hskp28
        | ! [X120] :
            ( ndr1_0
           => ( ~ c2_1(X120)
              | ~ c1_1(X120)
              | c3_1(X120) ) ) )
      & ( hskp1
        | hskp2
        | ! [X119] :
            ( ndr1_0
           => ( ~ c2_1(X119)
              | ~ c0_1(X119)
              | c3_1(X119) ) ) )
      & ( hskp16
        | hskp4
        | ! [X118] :
            ( ndr1_0
           => ( ~ c2_1(X118)
              | ~ c0_1(X118)
              | c3_1(X118) ) ) )
      & ( hskp10
        | hskp3
        | ! [X117] :
            ( ndr1_0
           => ( ~ c2_1(X117)
              | ~ c0_1(X117)
              | c3_1(X117) ) ) )
      & ( hskp28
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c1_1(X116)
              | c2_1(X116) ) ) )
      & ( hskp12
        | hskp13
        | ! [X115] :
            ( ndr1_0
           => ( ~ c1_1(X115)
              | ~ c0_1(X115)
              | c2_1(X115) ) ) )
      & ( hskp20
        | ! [X114] :
            ( ndr1_0
           => ( ~ c3_1(X114)
              | ~ c2_1(X114)
              | ~ c1_1(X114) ) )
        | ! [X113] :
            ( ndr1_0
           => ( ~ c1_1(X113)
              | ~ c0_1(X113)
              | c2_1(X113) ) ) )
      & ( hskp8
        | ! [X112] :
            ( ndr1_0
           => ( ~ c1_1(X112)
              | ~ c0_1(X112)
              | c3_1(X112) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c1_1(X111)
              | ~ c0_1(X111)
              | c2_1(X111) ) ) )
      & ( hskp8
        | hskp3
        | ! [X110] :
            ( ndr1_0
           => ( ~ c0_1(X110)
              | c3_1(X110)
              | c2_1(X110) ) ) )
      & ( hskp27
        | hskp28
        | ! [X109] :
            ( ndr1_0
           => ( ~ c0_1(X109)
              | c3_1(X109)
              | c2_1(X109) ) ) )
      & ( hskp10
        | ! [X108] :
            ( ndr1_0
           => ( ~ c2_1(X108)
              | ~ c1_1(X108)
              | ~ c0_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c0_1(X107)
              | c3_1(X107)
              | c2_1(X107) ) ) )
      & ( ! [X106] :
            ( ndr1_0
           => ( ~ c3_1(X106)
              | ~ c2_1(X106)
              | ~ c0_1(X106) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c0_1(X105)
              | c2_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c0_1(X104)
              | c3_1(X104)
              | c2_1(X104) ) ) )
      & ( hskp15
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c2_1(X103)
              | c1_1(X103) ) ) )
      & ( hskp22
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | ~ c1_1(X102) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c2_1(X101)
              | c1_1(X101) ) ) )
      & ( hskp17
        | ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | ~ c0_1(X100)
              | c2_1(X100) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c2_1(X99)
              | c1_1(X99) ) ) )
      & ( hskp22
        | hskp23
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c0_1(X98)
              | c1_1(X98) ) ) )
      & ( hskp14
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c1_1(X97)
              | c2_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c0_1(X96)
              | c1_1(X96) ) ) )
      & ( hskp27
        | hskp26
        | ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c0_1(X95)
              | c1_1(X95) ) ) )
      & ( hskp6
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c1_1(X94)
              | ~ c0_1(X94) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c2_1(X93)
              | ~ c0_1(X93)
              | c1_1(X93) ) ) )
      & ( hskp19
        | ! [X92] :
            ( ndr1_0
           => ( ~ c1_1(X92)
              | ~ c0_1(X92)
              | c3_1(X92) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | ~ c0_1(X91)
              | c1_1(X91) ) ) )
      & ( hskp19
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c0_1(X90)
              | c1_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | c3_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp5
        | ! [X88] :
            ( ndr1_0
           => ( ~ c2_1(X88)
              | ~ c0_1(X88)
              | c1_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | c3_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp22
        | ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | c3_1(X86)
              | c2_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | c3_1(X85)
              | c1_1(X85) ) ) )
      & ( ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | ~ c1_1(X84)
              | ~ c0_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c1_1(X83)
              | c2_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | c2_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp2
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c0_1(X81)
              | c2_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | c2_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp22
        | hskp7
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | c2_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp0
        | hskp19
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | c2_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp16
        | hskp15
        | ! [X77] :
            ( ndr1_0
           => ( c3_1(X77)
              | c2_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp14
        | hskp5
        | ! [X76] :
            ( ndr1_0
           => ( c3_1(X76)
              | c2_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp21
        | ! [X75] :
            ( ndr1_0
           => ( ~ c1_1(X75)
              | ~ c0_1(X75)
              | c3_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c3_1(X74)
              | c2_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp20
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c0_1(X73)
              | c1_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c3_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp12
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | c2_1(X71)
              | c1_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp11
        | hskp19
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c2_1(X69)
              | c0_1(X69) ) ) )
      & ( hskp18
        | hskp17
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c2_1(X68)
              | c0_1(X68) ) ) )
      & ( hskp4
        | ! [X67] :
            ( ndr1_0
           => ( ~ c2_1(X67)
              | ~ c0_1(X67)
              | c3_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c2_1(X66)
              | c0_1(X66) ) ) )
      & ( hskp12
        | ! [X65] :
            ( ndr1_0
           => ( ~ c2_1(X65)
              | ~ c0_1(X65)
              | c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c1_1(X64)
              | c0_1(X64) ) ) )
      & ( ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c1_1(X63)
              | c2_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c0_1(X62)
              | c2_1(X62)
              | c1_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c1_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp9
        | hskp16
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | ~ c1_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp15
        | ! [X59] :
            ( ndr1_0
           => ( ~ c0_1(X59)
              | c2_1(X59)
              | c1_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | ~ c1_1(X58)
              | c0_1(X58) ) ) )
      & ( hskp14
        | hskp13
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | c3_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp12
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c0_1(X56)
              | c1_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | c3_1(X55)
              | c0_1(X55) ) ) )
      & ( hskp26
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c0_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c1_1(X53)
              | c3_1(X53)
              | c0_1(X53) ) ) )
      & ( ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | c3_1(X52)
              | c2_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | ~ c0_1(X51)
              | c1_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c1_1(X50)
              | c3_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp28
        | ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | ~ c0_1(X49)
              | c2_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | c2_1(X48)
              | c0_1(X48) ) ) )
      & ( ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | ~ c2_1(X47)
              | c1_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c0_1(X46)
              | c2_1(X46)
              | c1_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | c2_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp7
        | ! [X44] :
            ( ndr1_0
           => ( ~ c1_1(X44)
              | c3_1(X44)
              | c0_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp27
        | ! [X42] :
            ( ndr1_0
           => ( ~ c1_1(X42)
              | c3_1(X42)
              | c0_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp4
        | ! [X40] :
            ( ndr1_0
           => ( ~ c2_1(X40)
              | ~ c1_1(X40)
              | c3_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( ! [X38] :
            ( ndr1_0
           => ( ~ c2_1(X38)
              | ~ c1_1(X38)
              | ~ c0_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c2_1(X37)
              | ~ c1_1(X37)
              | c3_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | ~ c2_1(X35)
              | ~ c0_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | ~ c0_1(X34)
              | c2_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp5
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | ~ c2_1(X32)
              | c1_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( ~ c0_1(X30)
              | c3_1(X30)
              | c2_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c2_1(X29)
              | ~ c0_1(X29)
              | c1_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp11
        | ! [X27] :
            ( ndr1_0
           => ( ~ c1_1(X27)
              | c3_1(X27)
              | c0_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c1_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp10
        | hskp5
        | ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp7
        | ! [X24] :
            ( ndr1_0
           => ( ~ c2_1(X24)
              | ~ c1_1(X24)
              | ~ c0_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | c1_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp9
        | ! [X22] :
            ( ndr1_0
           => ( ~ c0_1(X22)
              | c2_1(X22)
              | c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp26
        | ! [X20] :
            ( ndr1_0
           => ( ~ c0_1(X20)
              | c2_1(X20)
              | c1_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp8
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | ~ c2_1(X18)
              | ~ c1_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | ~ c2_1(X16)
              | c1_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | ~ c0_1(X15)
              | c1_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp5
        | ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | ~ c1_1(X13)
              | c0_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( hskp7
        | ! [X11] :
            ( ndr1_0
           => ( ~ c3_1(X11)
              | ~ c2_1(X11)
              | ~ c0_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c3_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp6
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | ~ c1_1(X9)
              | ~ c0_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c3_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp1
        | hskp5
        | ! [X7] :
            ( ndr1_0
           => ( c2_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp4
        | hskp3
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp2
        | ! [X5] :
            ( ndr1_0
           => ( ~ c2_1(X5)
              | c3_1(X5)
              | c1_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c2_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp1
        | ! [X3] :
            ( ndr1_0
           => ( ~ c3_1(X3)
              | c2_1(X3)
              | c0_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c1_1(X1)
              | c2_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c2_1(a343)
          & c1_1(a343)
          & c0_1(a343)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a341)
          & c2_1(a341)
          & c1_1(a341)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( c3_1(a333)
          & c1_1(a333)
          & c0_1(a333)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c2_1(a419)
          & ~ c1_1(a419)
          & c0_1(a419)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a401)
          & ~ c0_1(a401)
          & c1_1(a401)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c0_1(a377)
          & c3_1(a377)
          & c1_1(a377)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c2_1(a367)
          & ~ c1_1(a367)
          & c3_1(a367)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c2_1(a359)
          & ~ c0_1(a359)
          & c3_1(a359)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a358)
          & ~ c0_1(a358)
          & c2_1(a358)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a355)
          & c2_1(a355)
          & c1_1(a355)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a354)
          & ~ c2_1(a354)
          & c1_1(a354)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c0_1(a353)
          & c2_1(a353)
          & c1_1(a353)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c2_1(a349)
          & c3_1(a349)
          & c1_1(a349)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a348)
          & ~ c1_1(a348)
          & c0_1(a348)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c1_1(a347)
          & c3_1(a347)
          & c2_1(a347)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a346)
          & c2_1(a346)
          & c0_1(a346)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a345)
          & c3_1(a345)
          & c0_1(a345)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c2_1(a338)
          & ~ c1_1(a338)
          & ~ c0_1(a338)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a337)
          & ~ c2_1(a337)
          & c0_1(a337)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a334)
          & ~ c0_1(a334)
          & c2_1(a334)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a332)
          & ~ c2_1(a332)
          & ~ c0_1(a332)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c1_1(a330)
          & ~ c0_1(a330)
          & c3_1(a330)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a329)
          & ~ c1_1(a329)
          & c2_1(a329)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a327)
          & c1_1(a327)
          & c0_1(a327)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c1_1(a326)
          & c2_1(a326)
          & c0_1(a326)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a325)
          & c1_1(a325)
          & c0_1(a325)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a324)
          & ~ c1_1(a324)
          & ~ c0_1(a324)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a323)
          & ~ c2_1(a323)
          & ~ c1_1(a323)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c0_1(a322)
          & c3_1(a322)
          & c2_1(a322)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f991,plain,
    ( ~ spl0_8
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f12,f988,f281]) ).

fof(f12,plain,
    ( ~ c1_1(a323)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f986,plain,
    ( ~ spl0_8
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f13,f983,f281]) ).

fof(f13,plain,
    ( ~ c2_1(a323)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f959,plain,
    ( ~ spl0_14
    | spl0_140 ),
    inference(avatar_split_clause,[],[f20,f956,f309]) ).

fof(f309,plain,
    ( spl0_14
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f20,plain,
    ( c0_1(a325)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f954,plain,
    ( ~ spl0_14
    | spl0_139 ),
    inference(avatar_split_clause,[],[f21,f951,f309]) ).

fof(f21,plain,
    ( c1_1(a325)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f949,plain,
    ( ~ spl0_14
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f22,f946,f309]) ).

fof(f22,plain,
    ( ~ c2_1(a325)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f943,plain,
    ( ~ spl0_12
    | spl0_137 ),
    inference(avatar_split_clause,[],[f24,f940,f300]) ).

fof(f300,plain,
    ( spl0_12
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f24,plain,
    ( c0_1(a326)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f938,plain,
    ( ~ spl0_12
    | spl0_136 ),
    inference(avatar_split_clause,[],[f25,f935,f300]) ).

fof(f25,plain,
    ( c2_1(a326)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f933,plain,
    ( ~ spl0_12
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f26,f930,f300]) ).

fof(f26,plain,
    ( ~ c1_1(a326)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f927,plain,
    ( ~ spl0_15
    | spl0_134 ),
    inference(avatar_split_clause,[],[f28,f924,f313]) ).

fof(f313,plain,
    ( spl0_15
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f28,plain,
    ( c0_1(a327)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f922,plain,
    ( ~ spl0_15
    | spl0_133 ),
    inference(avatar_split_clause,[],[f29,f919,f313]) ).

fof(f29,plain,
    ( c1_1(a327)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f917,plain,
    ( ~ spl0_15
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f30,f914,f313]) ).

fof(f30,plain,
    ( ~ c3_1(a327)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f895,plain,
    ( ~ spl0_2
    | spl0_128 ),
    inference(avatar_split_clause,[],[f36,f892,f254]) ).

fof(f254,plain,
    ( spl0_2
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f36,plain,
    ( c3_1(a330)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f890,plain,
    ( ~ spl0_2
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f37,f887,f254]) ).

fof(f37,plain,
    ( ~ c0_1(a330)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f885,plain,
    ( ~ spl0_2
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f38,f882,f254]) ).

fof(f38,plain,
    ( ~ c1_1(a330)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f879,plain,
    ( ~ spl0_6
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f40,f876,f272]) ).

fof(f272,plain,
    ( spl0_6
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f40,plain,
    ( ~ c0_1(a332)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f874,plain,
    ( ~ spl0_6
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f41,f871,f272]) ).

fof(f41,plain,
    ( ~ c2_1(a332)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f869,plain,
    ( ~ spl0_6
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f42,f866,f272]) ).

fof(f42,plain,
    ( ~ c3_1(a332)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f863,plain,
    ( ~ spl0_52
    | spl0_122 ),
    inference(avatar_split_clause,[],[f44,f860,f482]) ).

fof(f482,plain,
    ( spl0_52
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f44,plain,
    ( c2_1(a334)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f853,plain,
    ( ~ spl0_52
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f46,f850,f482]) ).

fof(f46,plain,
    ( ~ c1_1(a334)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f847,plain,
    ( ~ spl0_20
    | spl0_119 ),
    inference(avatar_split_clause,[],[f48,f844,f334]) ).

fof(f334,plain,
    ( spl0_20
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f48,plain,
    ( c0_1(a337)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f842,plain,
    ( ~ spl0_20
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f49,f839,f334]) ).

fof(f49,plain,
    ( ~ c2_1(a337)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f837,plain,
    ( ~ spl0_20
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f50,f834,f334]) ).

fof(f50,plain,
    ( ~ c3_1(a337)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f832,plain,
    ( ~ spl0_5
    | spl0_18 ),
    inference(avatar_split_clause,[],[f51,f327,f267]) ).

fof(f267,plain,
    ( spl0_5
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

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

fof(f826,plain,
    ( ~ spl0_5
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f53,f823,f267]) ).

fof(f53,plain,
    ( ~ c1_1(a338)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f821,plain,
    ( ~ spl0_5
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f54,f818,f267]) ).

fof(f54,plain,
    ( ~ c2_1(a338)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f815,plain,
    ( ~ spl0_10
    | spl0_113 ),
    inference(avatar_split_clause,[],[f56,f812,f291]) ).

fof(f291,plain,
    ( spl0_10
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f56,plain,
    ( c0_1(a345)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f810,plain,
    ( ~ spl0_10
    | spl0_112 ),
    inference(avatar_split_clause,[],[f57,f807,f291]) ).

fof(f57,plain,
    ( c3_1(a345)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f805,plain,
    ( ~ spl0_10
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f58,f802,f291]) ).

fof(f58,plain,
    ( ~ c2_1(a345)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f799,plain,
    ( ~ spl0_13
    | spl0_110 ),
    inference(avatar_split_clause,[],[f60,f796,f304]) ).

fof(f304,plain,
    ( spl0_13
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f60,plain,
    ( c0_1(a346)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f794,plain,
    ( ~ spl0_13
    | spl0_109 ),
    inference(avatar_split_clause,[],[f61,f791,f304]) ).

fof(f61,plain,
    ( c2_1(a346)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f789,plain,
    ( ~ spl0_13
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f62,f786,f304]) ).

fof(f62,plain,
    ( ~ c3_1(a346)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f783,plain,
    ( ~ spl0_11
    | spl0_107 ),
    inference(avatar_split_clause,[],[f64,f780,f295]) ).

fof(f295,plain,
    ( spl0_11
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f64,plain,
    ( c2_1(a347)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f778,plain,
    ( ~ spl0_11
    | spl0_106 ),
    inference(avatar_split_clause,[],[f65,f775,f295]) ).

fof(f65,plain,
    ( c3_1(a347)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f773,plain,
    ( ~ spl0_11
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f66,f770,f295]) ).

fof(f66,plain,
    ( ~ c1_1(a347)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f767,plain,
    ( ~ spl0_35
    | spl0_104 ),
    inference(avatar_split_clause,[],[f68,f764,f399]) ).

fof(f399,plain,
    ( spl0_35
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f68,plain,
    ( c0_1(a348)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f762,plain,
    ( ~ spl0_35
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f69,f759,f399]) ).

fof(f69,plain,
    ( ~ c1_1(a348)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f757,plain,
    ( ~ spl0_35
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f70,f754,f399]) ).

fof(f70,plain,
    ( ~ c3_1(a348)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f751,plain,
    ( ~ spl0_9
    | spl0_101 ),
    inference(avatar_split_clause,[],[f72,f748,f286]) ).

fof(f286,plain,
    ( spl0_9
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f72,plain,
    ( c1_1(a349)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f746,plain,
    ( ~ spl0_9
    | spl0_100 ),
    inference(avatar_split_clause,[],[f73,f743,f286]) ).

fof(f73,plain,
    ( c3_1(a349)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f741,plain,
    ( ~ spl0_9
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f74,f738,f286]) ).

fof(f74,plain,
    ( ~ c2_1(a349)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f735,plain,
    ( ~ spl0_3
    | spl0_98 ),
    inference(avatar_split_clause,[],[f76,f732,f259]) ).

fof(f259,plain,
    ( spl0_3
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f76,plain,
    ( c1_1(a353)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f730,plain,
    ( ~ spl0_3
    | spl0_97 ),
    inference(avatar_split_clause,[],[f77,f727,f259]) ).

fof(f77,plain,
    ( c2_1(a353)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f725,plain,
    ( ~ spl0_3
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f78,f722,f259]) ).

fof(f78,plain,
    ( ~ c0_1(a353)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f703,plain,
    ( ~ spl0_41
    | spl0_92 ),
    inference(avatar_split_clause,[],[f84,f700,f428]) ).

fof(f428,plain,
    ( spl0_41
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f84,plain,
    ( c1_1(a355)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f698,plain,
    ( ~ spl0_41
    | spl0_91 ),
    inference(avatar_split_clause,[],[f85,f695,f428]) ).

fof(f85,plain,
    ( c2_1(a355)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f693,plain,
    ( ~ spl0_41
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f86,f690,f428]) ).

fof(f86,plain,
    ( ~ c3_1(a355)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f671,plain,
    ( ~ spl0_48
    | spl0_86 ),
    inference(avatar_split_clause,[],[f92,f668,f461]) ).

fof(f461,plain,
    ( spl0_48
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f92,plain,
    ( c3_1(a359)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f666,plain,
    ( ~ spl0_48
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f93,f663,f461]) ).

fof(f93,plain,
    ( ~ c0_1(a359)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f661,plain,
    ( ~ spl0_48
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f94,f658,f461]) ).

fof(f94,plain,
    ( ~ c2_1(a359)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f655,plain,
    ( ~ spl0_36
    | spl0_83 ),
    inference(avatar_split_clause,[],[f96,f652,f404]) ).

fof(f404,plain,
    ( spl0_36
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f96,plain,
    ( c3_1(a367)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f650,plain,
    ( ~ spl0_36
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f97,f647,f404]) ).

fof(f97,plain,
    ( ~ c1_1(a367)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f645,plain,
    ( ~ spl0_36
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f98,f642,f404]) ).

fof(f98,plain,
    ( ~ c2_1(a367)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f623,plain,
    ( ~ spl0_1
    | spl0_77 ),
    inference(avatar_split_clause,[],[f104,f620,f250]) ).

fof(f250,plain,
    ( spl0_1
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f104,plain,
    ( c1_1(a401)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f618,plain,
    ( ~ spl0_1
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f105,f615,f250]) ).

fof(f105,plain,
    ( ~ c0_1(a401)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f613,plain,
    ( ~ spl0_1
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f106,f610,f250]) ).

fof(f106,plain,
    ( ~ c2_1(a401)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f608,plain,
    ( ~ spl0_7
    | spl0_18 ),
    inference(avatar_split_clause,[],[f107,f327,f277]) ).

fof(f277,plain,
    ( spl0_7
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f107,plain,
    ( ndr1_0
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f607,plain,
    ( ~ spl0_7
    | spl0_74 ),
    inference(avatar_split_clause,[],[f108,f604,f277]) ).

fof(f108,plain,
    ( c0_1(a419)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f602,plain,
    ( ~ spl0_7
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f109,f599,f277]) ).

fof(f109,plain,
    ( ~ c1_1(a419)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f597,plain,
    ( ~ spl0_7
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f110,f594,f277]) ).

fof(f110,plain,
    ( ~ c2_1(a419)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f591,plain,
    ( ~ spl0_16
    | spl0_71 ),
    inference(avatar_split_clause,[],[f112,f588,f318]) ).

fof(f318,plain,
    ( spl0_16
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f112,plain,
    ( c0_1(a333)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f586,plain,
    ( ~ spl0_16
    | spl0_70 ),
    inference(avatar_split_clause,[],[f113,f583,f318]) ).

fof(f113,plain,
    ( c1_1(a333)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f581,plain,
    ( ~ spl0_16
    | spl0_69 ),
    inference(avatar_split_clause,[],[f114,f578,f318]) ).

fof(f114,plain,
    ( c3_1(a333)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f575,plain,
    ( ~ spl0_32
    | spl0_68 ),
    inference(avatar_split_clause,[],[f116,f572,f386]) ).

fof(f386,plain,
    ( spl0_32
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f116,plain,
    ( c1_1(a341)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f570,plain,
    ( ~ spl0_32
    | spl0_67 ),
    inference(avatar_split_clause,[],[f117,f567,f386]) ).

fof(f117,plain,
    ( c2_1(a341)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f565,plain,
    ( ~ spl0_32
    | spl0_66 ),
    inference(avatar_split_clause,[],[f118,f562,f386]) ).

fof(f118,plain,
    ( c3_1(a341)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f559,plain,
    ( ~ spl0_25
    | spl0_65 ),
    inference(avatar_split_clause,[],[f120,f556,f354]) ).

fof(f354,plain,
    ( spl0_25
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f120,plain,
    ( c0_1(a343)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f554,plain,
    ( ~ spl0_25
    | spl0_64 ),
    inference(avatar_split_clause,[],[f121,f551,f354]) ).

fof(f121,plain,
    ( c1_1(a343)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f549,plain,
    ( ~ spl0_25
    | spl0_63 ),
    inference(avatar_split_clause,[],[f122,f546,f354]) ).

fof(f122,plain,
    ( c2_1(a343)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f531,plain,
    ( spl0_60
    | ~ spl0_18
    | spl0_51
    | spl0_15 ),
    inference(avatar_split_clause,[],[f208,f313,f479,f327,f527]) ).

fof(f208,plain,
    ! [X113,X112] :
      ( hskp5
      | ~ c2_1(X112)
      | ~ c1_1(X112)
      | c0_1(X112)
      | ~ ndr1_0
      | ~ c2_1(X113)
      | c1_1(X113)
      | c0_1(X113) ),
    inference(duplicate_literal_removal,[],[f130]) ).

fof(f130,plain,
    ! [X113,X112] :
      ( hskp5
      | ~ c2_1(X112)
      | ~ c1_1(X112)
      | c0_1(X112)
      | ~ ndr1_0
      | ~ c2_1(X113)
      | c1_1(X113)
      | c0_1(X113)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f525,plain,
    ( spl0_59
    | ~ spl0_18
    | spl0_45
    | spl0_16 ),
    inference(avatar_split_clause,[],[f211,f318,f447,f327,f521]) ).

fof(f211,plain,
    ! [X106,X105] :
      ( hskp26
      | ~ c0_1(X105)
      | c2_1(X105)
      | c1_1(X105)
      | ~ ndr1_0
      | ~ c3_1(X106)
      | c1_1(X106)
      | c0_1(X106) ),
    inference(duplicate_literal_removal,[],[f133]) ).

fof(f133,plain,
    ! [X106,X105] :
      ( hskp26
      | ~ c0_1(X105)
      | c2_1(X105)
      | c1_1(X105)
      | ~ ndr1_0
      | ~ c3_1(X106)
      | c1_1(X106)
      | c0_1(X106)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f519,plain,
    ( ~ spl0_18
    | spl0_58
    | spl0_15
    | spl0_20 ),
    inference(avatar_split_clause,[],[f136,f334,f313,f517,f327]) ).

fof(f136,plain,
    ! [X100] :
      ( hskp10
      | hskp5
      | c3_1(X100)
      | c2_1(X100)
      | c0_1(X100)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f514,plain,
    ( spl0_57
    | spl0_39
    | ~ spl0_18
    | spl0_31 ),
    inference(avatar_split_clause,[],[f215,f382,f327,f419,f508]) ).

fof(f215,plain,
    ! [X96,X97,X95] :
      ( ~ c0_1(X95)
      | c3_1(X95)
      | c2_1(X95)
      | ~ ndr1_0
      | ~ c2_1(X96)
      | ~ c0_1(X96)
      | c1_1(X96)
      | ~ c1_1(X97)
      | c2_1(X97)
      | c0_1(X97) ),
    inference(duplicate_literal_removal,[],[f138]) ).

fof(f138,plain,
    ! [X96,X97,X95] :
      ( ~ c0_1(X95)
      | c3_1(X95)
      | c2_1(X95)
      | ~ ndr1_0
      | ~ c2_1(X96)
      | ~ c0_1(X96)
      | c1_1(X96)
      | ~ ndr1_0
      | ~ c1_1(X97)
      | c2_1(X97)
      | c0_1(X97)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f511,plain,
    ( spl0_57
    | spl0_24
    | ~ spl0_18
    | spl0_23 ),
    inference(avatar_split_clause,[],[f218,f347,f327,f351,f508]) ).

fof(f218,plain,
    ! [X88,X89,X87] :
      ( ~ c2_1(X87)
      | ~ c1_1(X87)
      | ~ c0_1(X87)
      | ~ ndr1_0
      | ~ c2_1(X88)
      | ~ c1_1(X88)
      | c3_1(X88)
      | ~ c1_1(X89)
      | c2_1(X89)
      | c0_1(X89) ),
    inference(duplicate_literal_removal,[],[f141]) ).

fof(f141,plain,
    ! [X88,X89,X87] :
      ( ~ c2_1(X87)
      | ~ c1_1(X87)
      | ~ c0_1(X87)
      | ~ ndr1_0
      | ~ c2_1(X88)
      | ~ c1_1(X88)
      | c3_1(X88)
      | ~ ndr1_0
      | ~ c1_1(X89)
      | c2_1(X89)
      | c0_1(X89)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f506,plain,
    ( spl0_56
    | ~ spl0_18
    | spl0_54
    | spl0_32 ),
    inference(avatar_split_clause,[],[f220,f386,f493,f327,f501]) ).

fof(f220,plain,
    ! [X83,X84] :
      ( hskp27
      | ~ c1_1(X83)
      | c3_1(X83)
      | c0_1(X83)
      | ~ ndr1_0
      | ~ c3_1(X84)
      | c2_1(X84)
      | c0_1(X84) ),
    inference(duplicate_literal_removal,[],[f143]) ).

fof(f143,plain,
    ! [X83,X84] :
      ( hskp27
      | ~ c1_1(X83)
      | c3_1(X83)
      | c0_1(X83)
      | ~ ndr1_0
      | ~ c3_1(X84)
      | c2_1(X84)
      | c0_1(X84)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f504,plain,
    ( spl0_56
    | spl0_45
    | ~ spl0_18
    | spl0_34 ),
    inference(avatar_split_clause,[],[f222,f396,f327,f447,f501]) ).

fof(f222,plain,
    ! [X80,X78,X79] :
      ( ~ c3_1(X78)
      | ~ c2_1(X78)
      | c1_1(X78)
      | ~ ndr1_0
      | ~ c0_1(X79)
      | c2_1(X79)
      | c1_1(X79)
      | ~ c3_1(X80)
      | c2_1(X80)
      | c0_1(X80) ),
    inference(duplicate_literal_removal,[],[f145]) ).

fof(f145,plain,
    ! [X80,X78,X79] :
      ( ~ c3_1(X78)
      | ~ c2_1(X78)
      | c1_1(X78)
      | ~ ndr1_0
      | ~ c0_1(X79)
      | c2_1(X79)
      | c1_1(X79)
      | ~ ndr1_0
      | ~ c3_1(X80)
      | c2_1(X80)
      | c0_1(X80)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f503,plain,
    ( spl0_56
    | ~ spl0_18
    | spl0_33
    | spl0_25 ),
    inference(avatar_split_clause,[],[f223,f354,f392,f327,f501]) ).

fof(f223,plain,
    ! [X76,X77] :
      ( hskp28
      | ~ c3_1(X76)
      | ~ c0_1(X76)
      | c2_1(X76)
      | ~ ndr1_0
      | ~ c3_1(X77)
      | c2_1(X77)
      | c0_1(X77) ),
    inference(duplicate_literal_removal,[],[f146]) ).

fof(f146,plain,
    ! [X76,X77] :
      ( hskp28
      | ~ c3_1(X76)
      | ~ c0_1(X76)
      | c2_1(X76)
      | ~ ndr1_0
      | ~ c3_1(X77)
      | c2_1(X77)
      | c0_1(X77)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f499,plain,
    ( spl0_54
    | spl0_39
    | ~ spl0_18
    | spl0_55 ),
    inference(avatar_split_clause,[],[f224,f497,f327,f419,f493]) ).

fof(f224,plain,
    ! [X73,X74,X75] :
      ( ~ c1_1(X73)
      | c3_1(X73)
      | c2_1(X73)
      | ~ ndr1_0
      | ~ c2_1(X74)
      | ~ c0_1(X74)
      | c1_1(X74)
      | ~ c1_1(X75)
      | c3_1(X75)
      | c0_1(X75) ),
    inference(duplicate_literal_removal,[],[f147]) ).

fof(f147,plain,
    ! [X73,X74,X75] :
      ( ~ c1_1(X73)
      | c3_1(X73)
      | c2_1(X73)
      | ~ ndr1_0
      | ~ c2_1(X74)
      | ~ c0_1(X74)
      | c1_1(X74)
      | ~ ndr1_0
      | ~ c1_1(X75)
      | c3_1(X75)
      | c0_1(X75)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f486,plain,
    ( spl0_51
    | ~ spl0_18
    | spl0_45
    | spl0_35 ),
    inference(avatar_split_clause,[],[f227,f399,f447,f327,f479]) ).

fof(f227,plain,
    ! [X66,X67] :
      ( hskp15
      | ~ c0_1(X66)
      | c2_1(X66)
      | c1_1(X66)
      | ~ ndr1_0
      | ~ c2_1(X67)
      | ~ c1_1(X67)
      | c0_1(X67) ),
    inference(duplicate_literal_removal,[],[f151]) ).

fof(f151,plain,
    ! [X66,X67] :
      ( hskp15
      | ~ c0_1(X66)
      | c2_1(X66)
      | c1_1(X66)
      | ~ ndr1_0
      | ~ c2_1(X67)
      | ~ c1_1(X67)
      | c0_1(X67)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f485,plain,
    ( ~ spl0_18
    | spl0_51
    | spl0_9
    | spl0_52 ),
    inference(avatar_split_clause,[],[f152,f482,f286,f479,f327]) ).

fof(f152,plain,
    ! [X65] :
      ( hskp9
      | hskp16
      | ~ c2_1(X65)
      | ~ c1_1(X65)
      | c0_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f476,plain,
    ( spl0_50
    | ~ spl0_18
    | spl0_39
    | spl0_10 ),
    inference(avatar_split_clause,[],[f229,f291,f419,f327,f474]) ).

fof(f229,plain,
    ! [X60,X61] :
      ( hskp12
      | ~ c2_1(X60)
      | ~ c0_1(X60)
      | c1_1(X60)
      | ~ ndr1_0
      | ~ c3_1(X61)
      | ~ c1_1(X61)
      | c0_1(X61) ),
    inference(duplicate_literal_removal,[],[f154]) ).

fof(f154,plain,
    ! [X60,X61] :
      ( hskp12
      | ~ c2_1(X60)
      | ~ c0_1(X60)
      | c1_1(X60)
      | ~ ndr1_0
      | ~ c3_1(X61)
      | ~ c1_1(X61)
      | c0_1(X61)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f472,plain,
    ( spl0_49
    | ~ spl0_18
    | spl0_26
    | spl0_12 ),
    inference(avatar_split_clause,[],[f230,f300,f359,f327,f468]) ).

fof(f230,plain,
    ! [X58,X59] :
      ( hskp4
      | ~ c2_1(X58)
      | ~ c0_1(X58)
      | c3_1(X58)
      | ~ ndr1_0
      | ~ c3_1(X59)
      | ~ c2_1(X59)
      | c0_1(X59) ),
    inference(duplicate_literal_removal,[],[f155]) ).

fof(f155,plain,
    ! [X58,X59] :
      ( hskp4
      | ~ c2_1(X58)
      | ~ c0_1(X58)
      | c3_1(X58)
      | ~ ndr1_0
      | ~ c3_1(X59)
      | ~ c2_1(X59)
      | c0_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f470,plain,
    ( ~ spl0_18
    | spl0_49
    | spl0_41
    | spl0_5 ),
    inference(avatar_split_clause,[],[f157,f267,f428,f468,f327]) ).

fof(f157,plain,
    ! [X56] :
      ( hskp11
      | hskp19
      | ~ c3_1(X56)
      | ~ c2_1(X56)
      | c0_1(X56)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f466,plain,
    ( spl0_47
    | ~ spl0_18
    | spl0_44
    | spl0_10 ),
    inference(avatar_split_clause,[],[f231,f291,f442,f327,f456]) ).

fof(f231,plain,
    ! [X54,X55] :
      ( hskp12
      | ~ c3_1(X54)
      | c2_1(X54)
      | c1_1(X54)
      | ~ ndr1_0
      | c3_1(X55)
      | c2_1(X55)
      | c1_1(X55) ),
    inference(duplicate_literal_removal,[],[f158]) ).

fof(f158,plain,
    ! [X54,X55] :
      ( hskp12
      | ~ c3_1(X54)
      | c2_1(X54)
      | c1_1(X54)
      | ~ ndr1_0
      | c3_1(X55)
      | c2_1(X55)
      | c1_1(X55)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f464,plain,
    ( spl0_47
    | ~ spl0_18
    | spl0_30
    | spl0_48 ),
    inference(avatar_split_clause,[],[f233,f461,f378,f327,f456]) ).

fof(f233,plain,
    ! [X50,X51] :
      ( hskp21
      | ~ c1_1(X50)
      | ~ c0_1(X50)
      | c3_1(X50)
      | ~ ndr1_0
      | c3_1(X51)
      | c2_1(X51)
      | c1_1(X51) ),
    inference(duplicate_literal_removal,[],[f160]) ).

fof(f160,plain,
    ! [X50,X51] :
      ( hskp21
      | ~ c1_1(X50)
      | ~ c0_1(X50)
      | c3_1(X50)
      | ~ ndr1_0
      | c3_1(X51)
      | c2_1(X51)
      | c1_1(X51)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f459,plain,
    ( ~ spl0_18
    | spl0_47
    | spl0_15
    | spl0_11 ),
    inference(avatar_split_clause,[],[f161,f295,f313,f456,f327]) ).

fof(f161,plain,
    ! [X49] :
      ( hskp14
      | hskp5
      | c3_1(X49)
      | c2_1(X49)
      | c1_1(X49)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f449,plain,
    ( ~ spl0_18
    | spl0_45
    | spl0_2
    | spl0_36 ),
    inference(avatar_split_clause,[],[f164,f404,f254,f447,f327]) ).

fof(f164,plain,
    ! [X46] :
      ( hskp22
      | hskp7
      | ~ c0_1(X46)
      | c2_1(X46)
      | c1_1(X46)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f444,plain,
    ( spl0_44
    | spl0_27
    | ~ spl0_18
    | spl0_23 ),
    inference(avatar_split_clause,[],[f235,f347,f327,f365,f442]) ).

fof(f235,plain,
    ! [X41,X42,X43] :
      ( ~ c2_1(X41)
      | ~ c1_1(X41)
      | ~ c0_1(X41)
      | ~ ndr1_0
      | ~ c3_1(X42)
      | ~ c1_1(X42)
      | c2_1(X42)
      | ~ c3_1(X43)
      | c2_1(X43)
      | c1_1(X43) ),
    inference(duplicate_literal_removal,[],[f166]) ).

fof(f166,plain,
    ! [X41,X42,X43] :
      ( ~ c2_1(X41)
      | ~ c1_1(X41)
      | ~ c0_1(X41)
      | ~ ndr1_0
      | ~ c3_1(X42)
      | ~ c1_1(X42)
      | c2_1(X42)
      | ~ ndr1_0
      | ~ c3_1(X43)
      | c2_1(X43)
      | c1_1(X43)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f421,plain,
    ( ~ spl0_18
    | spl0_39
    | spl0_16
    | spl0_32 ),
    inference(avatar_split_clause,[],[f172,f386,f318,f419,f327]) ).

fof(f172,plain,
    ! [X30] :
      ( hskp27
      | hskp26
      | ~ c2_1(X30)
      | ~ c0_1(X30)
      | c1_1(X30)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f408,plain,
    ( spl0_34
    | ~ spl0_18
    | spl0_28
    | spl0_3 ),
    inference(avatar_split_clause,[],[f242,f259,f369,f327,f396]) ).

fof(f242,plain,
    ! [X26,X25] :
      ( hskp17
      | ~ c1_1(X25)
      | ~ c0_1(X25)
      | c2_1(X25)
      | ~ ndr1_0
      | ~ c3_1(X26)
      | ~ c2_1(X26)
      | c1_1(X26) ),
    inference(duplicate_literal_removal,[],[f175]) ).

fof(f175,plain,
    ! [X26,X25] :
      ( hskp17
      | ~ c1_1(X25)
      | ~ c0_1(X25)
      | c2_1(X25)
      | ~ ndr1_0
      | ~ c3_1(X26)
      | ~ c2_1(X26)
      | c1_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f407,plain,
    ( spl0_34
    | ~ spl0_18
    | spl0_19
    | spl0_36 ),
    inference(avatar_split_clause,[],[f243,f404,f331,f327,f396]) ).

fof(f243,plain,
    ! [X24,X23] :
      ( hskp22
      | ~ c3_1(X23)
      | ~ c2_1(X23)
      | ~ c1_1(X23)
      | ~ ndr1_0
      | ~ c3_1(X24)
      | ~ c2_1(X24)
      | c1_1(X24) ),
    inference(duplicate_literal_removal,[],[f176]) ).

fof(f176,plain,
    ! [X24,X23] :
      ( hskp22
      | ~ c3_1(X23)
      | ~ c2_1(X23)
      | ~ c1_1(X23)
      | ~ ndr1_0
      | ~ c3_1(X24)
      | ~ c2_1(X24)
      | c1_1(X24)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f394,plain,
    ( spl0_31
    | spl0_33
    | ~ spl0_18
    | spl0_21 ),
    inference(avatar_split_clause,[],[f244,f339,f327,f392,f382]) ).

fof(f244,plain,
    ! [X21,X19,X20] :
      ( ~ c3_1(X19)
      | ~ c2_1(X19)
      | ~ c0_1(X19)
      | ~ ndr1_0
      | ~ c3_1(X20)
      | ~ c0_1(X20)
      | c2_1(X20)
      | ~ c0_1(X21)
      | c3_1(X21)
      | c2_1(X21) ),
    inference(duplicate_literal_removal,[],[f178]) ).

fof(f178,plain,
    ! [X21,X19,X20] :
      ( ~ c3_1(X19)
      | ~ c2_1(X19)
      | ~ c0_1(X19)
      | ~ ndr1_0
      | ~ c3_1(X20)
      | ~ c0_1(X20)
      | c2_1(X20)
      | ~ ndr1_0
      | ~ c0_1(X21)
      | c3_1(X21)
      | c2_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f390,plain,
    ( spl0_31
    | ~ spl0_18
    | spl0_23
    | spl0_20 ),
    inference(avatar_split_clause,[],[f245,f334,f347,f327,f382]) ).

fof(f245,plain,
    ! [X18,X17] :
      ( hskp10
      | ~ c2_1(X17)
      | ~ c1_1(X17)
      | ~ c0_1(X17)
      | ~ ndr1_0
      | ~ c0_1(X18)
      | c3_1(X18)
      | c2_1(X18) ),
    inference(duplicate_literal_removal,[],[f179]) ).

fof(f179,plain,
    ! [X18,X17] :
      ( hskp10
      | ~ c2_1(X17)
      | ~ c1_1(X17)
      | ~ c0_1(X17)
      | ~ ndr1_0
      | ~ c0_1(X18)
      | c3_1(X18)
      | c2_1(X18)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f389,plain,
    ( ~ spl0_18
    | spl0_31
    | spl0_25
    | spl0_32 ),
    inference(avatar_split_clause,[],[f180,f386,f354,f382,f327]) ).

fof(f180,plain,
    ! [X16] :
      ( hskp27
      | hskp28
      | ~ c0_1(X16)
      | c3_1(X16)
      | c2_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f371,plain,
    ( ~ spl0_18
    | spl0_28
    | spl0_13
    | spl0_10 ),
    inference(avatar_split_clause,[],[f184,f291,f304,f369,f327]) ).

fof(f184,plain,
    ! [X10] :
      ( hskp12
      | hskp13
      | ~ c1_1(X10)
      | ~ c0_1(X10)
      | c2_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f367,plain,
    ( ~ spl0_18
    | spl0_27
    | spl0_25 ),
    inference(avatar_split_clause,[],[f185,f354,f365,f327]) ).

fof(f185,plain,
    ! [X9] :
      ( hskp28
      | ~ c3_1(X9)
      | ~ c1_1(X9)
      | c2_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f363,plain,
    ( ~ spl0_18
    | spl0_26
    | spl0_14
    | spl0_20 ),
    inference(avatar_split_clause,[],[f186,f334,f309,f359,f327]) ).

fof(f186,plain,
    ! [X8] :
      ( hskp10
      | hskp3
      | ~ c2_1(X8)
      | ~ c0_1(X8)
      | c3_1(X8)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f362,plain,
    ( ~ spl0_18
    | spl0_26
    | spl0_12
    | spl0_9 ),
    inference(avatar_split_clause,[],[f187,f286,f300,f359,f327]) ).

fof(f187,plain,
    ! [X7] :
      ( hskp16
      | hskp4
      | ~ c2_1(X7)
      | ~ c0_1(X7)
      | c3_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f349,plain,
    ( ~ spl0_18
    | spl0_23
    | spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f190,f250,f259,f347,f327]) ).

fof(f190,plain,
    ! [X4] :
      ( hskp24
      | hskp17
      | ~ c2_1(X4)
      | ~ c1_1(X4)
      | ~ c0_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f345,plain,
    ( spl0_22
    | ~ spl0_18
    | spl0_19
    | spl0_20 ),
    inference(avatar_split_clause,[],[f248,f334,f331,f327,f343]) ).

fof(f248,plain,
    ! [X2,X3] :
      ( hskp10
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X3)
      | ~ c1_1(X3)
      | ~ c0_1(X3) ),
    inference(duplicate_literal_removal,[],[f191]) ).

fof(f191,plain,
    ! [X2,X3] :
      ( hskp10
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X3)
      | ~ c1_1(X3)
      | ~ c0_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f341,plain,
    ( ~ spl0_18
    | spl0_21
    | spl0_15
    | spl0_9 ),
    inference(avatar_split_clause,[],[f192,f286,f313,f339,f327]) ).

fof(f192,plain,
    ! [X1] :
      ( hskp16
      | hskp5
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f337,plain,
    ( ~ spl0_18
    | spl0_19
    | spl0_14
    | spl0_20 ),
    inference(avatar_split_clause,[],[f193,f334,f309,f331,f327]) ).

fof(f193,plain,
    ! [X0] :
      ( hskp10
      | hskp3
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f307,plain,
    ( spl0_12
    | spl0_13
    | spl0_6 ),
    inference(avatar_split_clause,[],[f196,f272,f304,f300]) ).

fof(f196,plain,
    ( hskp8
    | hskp13
    | hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f298,plain,
    ( spl0_10
    | spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f197,f295,f259,f291]) ).

fof(f197,plain,
    ( hskp14
    | hskp17
    | hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f289,plain,
    ( spl0_7
    | spl0_9 ),
    inference(avatar_split_clause,[],[f198,f286,f277]) ).

fof(f198,plain,
    ( hskp16
    | hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f284,plain,
    ( spl0_7
    | spl0_5
    | spl0_8 ),
    inference(avatar_split_clause,[],[f199,f281,f267,f277]) ).

fof(f199,plain,
    ( hskp1
    | hskp11
    | hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f257,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f202,f254,f250]) ).

fof(f202,plain,
    ( hskp7
    | hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : SYN506+1 : TPTP v8.1.2. Released v2.1.0.
% 0.05/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.32  % Computer : n026.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Tue Apr 30 02:06:49 EDT 2024
% 0.12/0.32  % CPUTime    : 
% 0.12/0.32  % (21204)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.34  % (21208)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.34  % (21209)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.34  % (21210)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.34  % (21206)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.34  Detected minimum model sizes of [1]
% 0.12/0.34  Detected maximum model sizes of [29]
% 0.12/0.34  TRYING [1]
% 0.12/0.34  % (21207)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)
% 0.12/0.34  TRYING [2]
% 0.12/0.34  % (21205)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.34  % (21211)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)
% 0.12/0.34  TRYING [3]
% 0.12/0.35  TRYING [4]
% 0.12/0.35  Detected minimum model sizes of [1]
% 0.12/0.35  Detected maximum model sizes of [29]
% 0.12/0.35  TRYING [1]
% 0.12/0.35  Detected minimum model sizes of [1]
% 0.12/0.35  Detected maximum model sizes of [29]
% 0.12/0.35  TRYING [2]
% 0.12/0.35  TRYING [1]
% 0.12/0.35  Detected minimum model sizes of [1]
% 0.12/0.35  Detected maximum model sizes of [29]
% 0.12/0.35  TRYING [1]
% 0.12/0.35  TRYING [2]
% 0.12/0.35  TRYING [3]
% 0.12/0.35  TRYING [2]
% 0.12/0.35  TRYING [5]
% 0.12/0.35  TRYING [3]
% 0.12/0.35  TRYING [3]
% 0.12/0.36  TRYING [4]
% 0.12/0.36  TRYING [4]
% 0.12/0.36  % (21210)First to succeed.
% 0.12/0.36  TRYING [4]
% 0.12/0.37  % (21210)Refutation found. Thanks to Tanya!
% 0.12/0.37  % SZS status Theorem for theBenchmark
% 0.12/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.37  % (21210)------------------------------
% 0.12/0.37  % (21210)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.37  % (21210)Termination reason: Refutation
% 0.12/0.37  
% 0.12/0.37  % (21210)Memory used [KB]: 1761
% 0.12/0.37  % (21210)Time elapsed: 0.029 s
% 0.12/0.37  % (21210)Instructions burned: 71 (million)
% 0.12/0.37  % (21210)------------------------------
% 0.12/0.37  % (21210)------------------------------
% 0.12/0.37  % (21204)Success in time 0.046 s
%------------------------------------------------------------------------------