TSTP Solution File: SYN475+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN475+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 18:03:47 EDT 2024

% Result   : Theorem 0.54s 3.15s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  133
% Syntax   : Number of formulae    :  716 (   1 unt;   0 def)
%            Number of atoms       : 6787 (   0 equ)
%            Maximal formula atoms :  712 (   9 avg)
%            Number of connectives : 9149 (3078   ~;4329   |;1146   &)
%                                         ( 132 <=>; 464  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  108 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  168 ( 167 usr; 164 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   :  896 ( 896   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2824,plain,
    $false,
    inference(avatar_sat_refutation,[],[f253,f266,f279,f293,f315,f320,f325,f334,f338,f343,f355,f359,f367,f371,f376,f377,f385,f389,f393,f398,f402,f403,f411,f417,f427,f431,f432,f439,f443,f448,f452,f453,f466,f471,f472,f476,f477,f478,f483,f490,f501,f503,f511,f531,f536,f541,f542,f547,f552,f557,f563,f573,f584,f589,f590,f595,f600,f605,f611,f616,f621,f627,f632,f637,f643,f648,f653,f659,f664,f669,f675,f680,f691,f701,f723,f728,f733,f760,f765,f771,f776,f781,f787,f792,f797,f803,f808,f813,f819,f824,f829,f851,f856,f861,f867,f872,f877,f883,f888,f893,f899,f904,f909,f915,f920,f925,f931,f936,f941,f947,f952,f957,f958,f963,f968,f973,f979,f984,f989,f1023,f1031,f1037,f1039,f1052,f1056,f1083,f1106,f1143,f1162,f1181,f1202,f1205,f1400,f1414,f1461,f1526,f1633,f1654,f1720,f1723,f1747,f1815,f1918,f1935,f1956,f1960,f1974,f1992,f2034,f2108,f2110,f2156,f2174,f2199,f2238,f2311,f2351,f2354,f2379,f2391,f2396,f2420,f2449,f2451,f2453,f2456,f2485,f2560,f2562,f2585,f2594,f2604,f2637,f2664,f2690,f2725,f2729,f2759,f2800,f2821,f2823]) ).

fof(f2823,plain,
    ( spl0_156
    | ~ spl0_52
    | spl0_113
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f2822,f810,f800,f474,f1656]) ).

fof(f1656,plain,
    ( spl0_156
  <=> c3_1(a1019) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f474,plain,
    ( spl0_52
  <=> ! [X67] :
        ( ~ c1_1(X67)
        | c0_1(X67)
        | c3_1(X67) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f800,plain,
    ( spl0_113
  <=> c0_1(a1019) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f810,plain,
    ( spl0_115
  <=> c1_1(a1019) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f2822,plain,
    ( c3_1(a1019)
    | ~ spl0_52
    | spl0_113
    | ~ spl0_115 ),
    inference(subsumption_resolution,[],[f2779,f802]) ).

fof(f802,plain,
    ( ~ c0_1(a1019)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f2779,plain,
    ( c0_1(a1019)
    | c3_1(a1019)
    | ~ spl0_52
    | ~ spl0_115 ),
    inference(resolution,[],[f475,f812]) ).

fof(f812,plain,
    ( c1_1(a1019)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f475,plain,
    ( ! [X67] :
        ( ~ c1_1(X67)
        | c0_1(X67)
        | c3_1(X67) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f2821,plain,
    ( ~ spl0_156
    | ~ spl0_37
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f2818,f810,f805,f400,f1656]) ).

fof(f400,plain,
    ( spl0_37
  <=> ! [X22] :
        ( ~ c3_1(X22)
        | ~ c1_1(X22)
        | ~ c2_1(X22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f805,plain,
    ( spl0_114
  <=> c2_1(a1019) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f2818,plain,
    ( ~ c3_1(a1019)
    | ~ spl0_37
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(subsumption_resolution,[],[f2817,f812]) ).

fof(f2817,plain,
    ( ~ c1_1(a1019)
    | ~ c3_1(a1019)
    | ~ spl0_37
    | ~ spl0_114 ),
    inference(resolution,[],[f807,f401]) ).

fof(f401,plain,
    ( ! [X22] :
        ( ~ c2_1(X22)
        | ~ c1_1(X22)
        | ~ c3_1(X22) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f807,plain,
    ( c2_1(a1019)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f2800,plain,
    ( ~ spl0_53
    | spl0_128
    | spl0_129
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f2799]) ).

fof(f2799,plain,
    ( $false
    | ~ spl0_53
    | spl0_128
    | spl0_129
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f2798,f882]) ).

fof(f882,plain,
    ( ~ c3_1(a1008)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f880,plain,
    ( spl0_128
  <=> c3_1(a1008) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f2798,plain,
    ( c3_1(a1008)
    | ~ spl0_53
    | spl0_129
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f2792,f887]) ).

fof(f887,plain,
    ( ~ c1_1(a1008)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f885]) ).

fof(f885,plain,
    ( spl0_129
  <=> c1_1(a1008) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2792,plain,
    ( c1_1(a1008)
    | c3_1(a1008)
    | ~ spl0_53
    | ~ spl0_130 ),
    inference(resolution,[],[f481,f892]) ).

fof(f892,plain,
    ( c2_1(a1008)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f890]) ).

fof(f890,plain,
    ( spl0_130
  <=> c2_1(a1008) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f481,plain,
    ( ! [X73] :
        ( ~ c2_1(X73)
        | c1_1(X73)
        | c3_1(X73) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f480,plain,
    ( spl0_53
  <=> ! [X73] :
        ( ~ c2_1(X73)
        | c1_1(X73)
        | c3_1(X73) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f2759,plain,
    ( ~ spl0_21
    | ~ spl0_29
    | ~ spl0_39
    | spl0_136
    | ~ spl0_167 ),
    inference(avatar_contradiction_clause,[],[f2758]) ).

fof(f2758,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_39
    | spl0_136
    | ~ spl0_167 ),
    inference(subsumption_resolution,[],[f2749,f2395]) ).

fof(f2395,plain,
    ( c0_1(a1005)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f2393]) ).

fof(f2393,plain,
    ( spl0_167
  <=> c0_1(a1005) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f2749,plain,
    ( ~ c0_1(a1005)
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_39
    | spl0_136 ),
    inference(resolution,[],[f2745,f924]) ).

fof(f924,plain,
    ( ~ c1_1(a1005)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f922]) ).

fof(f922,plain,
    ( spl0_136
  <=> c1_1(a1005) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f2745,plain,
    ( ! [X29] :
        ( c1_1(X29)
        | ~ c0_1(X29) )
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_39 ),
    inference(subsumption_resolution,[],[f410,f2708]) ).

fof(f2708,plain,
    ( ! [X9] :
        ( ~ c0_1(X9)
        | ~ c3_1(X9) )
    | ~ spl0_21
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f366,f332]) ).

fof(f332,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f331,plain,
    ( spl0_21
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f366,plain,
    ( ! [X9] :
        ( ~ c0_1(X9)
        | c2_1(X9)
        | ~ c3_1(X9) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f365,plain,
    ( spl0_29
  <=> ! [X9] :
        ( ~ c3_1(X9)
        | c2_1(X9)
        | ~ c0_1(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f410,plain,
    ( ! [X29] :
        ( ~ c0_1(X29)
        | c1_1(X29)
        | c3_1(X29) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f409,plain,
    ( spl0_39
  <=> ! [X29] :
        ( ~ c0_1(X29)
        | c1_1(X29)
        | c3_1(X29) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f2729,plain,
    ( ~ spl0_21
    | ~ spl0_29
    | ~ spl0_68
    | ~ spl0_70 ),
    inference(avatar_contradiction_clause,[],[f2728]) ).

fof(f2728,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_68
    | ~ spl0_70 ),
    inference(subsumption_resolution,[],[f2719,f562]) ).

fof(f562,plain,
    ( c3_1(a1029)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f560,plain,
    ( spl0_68
  <=> c3_1(a1029) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f2719,plain,
    ( ~ c3_1(a1029)
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_70 ),
    inference(resolution,[],[f2708,f572]) ).

fof(f572,plain,
    ( c0_1(a1029)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f570,plain,
    ( spl0_70
  <=> c0_1(a1029) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f2725,plain,
    ( ~ spl0_21
    | ~ spl0_29
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f2724]) ).

fof(f2724,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f2712,f871]) ).

fof(f871,plain,
    ( c3_1(a1010)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f869]) ).

fof(f869,plain,
    ( spl0_126
  <=> c3_1(a1010) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f2712,plain,
    ( ~ c3_1(a1010)
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_127 ),
    inference(resolution,[],[f2708,f876]) ).

fof(f876,plain,
    ( c0_1(a1010)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f874,plain,
    ( spl0_127
  <=> c0_1(a1010) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2690,plain,
    ( ~ spl0_24
    | ~ spl0_53
    | spl0_86
    | ~ spl0_88 ),
    inference(avatar_contradiction_clause,[],[f2689]) ).

fof(f2689,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_53
    | spl0_86
    | ~ spl0_88 ),
    inference(subsumption_resolution,[],[f2684,f658]) ).

fof(f658,plain,
    ( ~ c3_1(a1041)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f656,plain,
    ( spl0_86
  <=> c3_1(a1041) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f2684,plain,
    ( c3_1(a1041)
    | ~ spl0_24
    | ~ spl0_53
    | ~ spl0_88 ),
    inference(resolution,[],[f2665,f668]) ).

fof(f668,plain,
    ( c2_1(a1041)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f666,plain,
    ( spl0_88
  <=> c2_1(a1041) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f2665,plain,
    ( ! [X73] :
        ( ~ c2_1(X73)
        | c3_1(X73) )
    | ~ spl0_24
    | ~ spl0_53 ),
    inference(subsumption_resolution,[],[f481,f346]) ).

fof(f346,plain,
    ( ! [X4] :
        ( ~ c1_1(X4)
        | c3_1(X4)
        | ~ c2_1(X4) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f345,plain,
    ( spl0_24
  <=> ! [X4] :
        ( ~ c2_1(X4)
        | c3_1(X4)
        | ~ c1_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f2664,plain,
    ( ~ spl0_27
    | ~ spl0_36
    | ~ spl0_39
    | spl0_107
    | ~ spl0_109 ),
    inference(avatar_contradiction_clause,[],[f2663]) ).

fof(f2663,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_36
    | ~ spl0_39
    | spl0_107
    | ~ spl0_109 ),
    inference(subsumption_resolution,[],[f2654,f780]) ).

fof(f780,plain,
    ( c0_1(a1025)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f778,plain,
    ( spl0_109
  <=> c0_1(a1025) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f2654,plain,
    ( ~ c0_1(a1025)
    | ~ spl0_27
    | ~ spl0_36
    | ~ spl0_39
    | spl0_107 ),
    inference(resolution,[],[f2646,f770]) ).

fof(f770,plain,
    ( ~ c3_1(a1025)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f768,plain,
    ( spl0_107
  <=> c3_1(a1025) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2646,plain,
    ( ! [X7] :
        ( c3_1(X7)
        | ~ c0_1(X7) )
    | ~ spl0_27
    | ~ spl0_36
    | ~ spl0_39 ),
    inference(subsumption_resolution,[],[f358,f2600]) ).

fof(f2600,plain,
    ( ! [X29] :
        ( c1_1(X29)
        | ~ c0_1(X29) )
    | ~ spl0_36
    | ~ spl0_39 ),
    inference(subsumption_resolution,[],[f410,f396]) ).

fof(f396,plain,
    ( ! [X20] :
        ( ~ c3_1(X20)
        | c1_1(X20)
        | ~ c0_1(X20) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f395,plain,
    ( spl0_36
  <=> ! [X20] :
        ( ~ c3_1(X20)
        | c1_1(X20)
        | ~ c0_1(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f358,plain,
    ( ! [X7] :
        ( ~ c1_1(X7)
        | c3_1(X7)
        | ~ c0_1(X7) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f357,plain,
    ( spl0_27
  <=> ! [X7] :
        ( ~ c1_1(X7)
        | c3_1(X7)
        | ~ c0_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f2637,plain,
    ( spl0_25
    | ~ spl0_24
    | ~ spl0_36
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f2631,f409,f395,f345,f349]) ).

fof(f349,plain,
    ( spl0_25
  <=> ! [X6] :
        ( ~ c2_1(X6)
        | c3_1(X6)
        | ~ c0_1(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f2631,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_24
    | ~ spl0_36
    | ~ spl0_39 ),
    inference(resolution,[],[f2600,f346]) ).

fof(f2604,plain,
    ( ~ spl0_165
    | ~ spl0_24
    | spl0_74
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f2603,f602,f592,f345,f2252]) ).

fof(f2252,plain,
    ( spl0_165
  <=> c2_1(a1048) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f592,plain,
    ( spl0_74
  <=> c3_1(a1048) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f602,plain,
    ( spl0_76
  <=> c1_1(a1048) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2603,plain,
    ( ~ c2_1(a1048)
    | ~ spl0_24
    | spl0_74
    | ~ spl0_76 ),
    inference(subsumption_resolution,[],[f2602,f594]) ).

fof(f594,plain,
    ( ~ c3_1(a1048)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f2602,plain,
    ( c3_1(a1048)
    | ~ c2_1(a1048)
    | ~ spl0_24
    | ~ spl0_76 ),
    inference(resolution,[],[f604,f346]) ).

fof(f604,plain,
    ( c1_1(a1048)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f2594,plain,
    ( ~ spl0_162
    | ~ spl0_36
    | spl0_146
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2593,f981,f976,f395,f1983]) ).

fof(f1983,plain,
    ( spl0_162
  <=> c0_1(a1001) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f976,plain,
    ( spl0_146
  <=> c1_1(a1001) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f981,plain,
    ( spl0_147
  <=> c3_1(a1001) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f2593,plain,
    ( ~ c0_1(a1001)
    | ~ spl0_36
    | spl0_146
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f2592,f978]) ).

fof(f978,plain,
    ( ~ c1_1(a1001)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f976]) ).

fof(f2592,plain,
    ( c1_1(a1001)
    | ~ c0_1(a1001)
    | ~ spl0_36
    | ~ spl0_147 ),
    inference(resolution,[],[f983,f396]) ).

fof(f983,plain,
    ( c3_1(a1001)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f981]) ).

fof(f2585,plain,
    ( spl0_143
    | ~ spl0_38
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2584,f970,f965,f405,f960]) ).

fof(f960,plain,
    ( spl0_143
  <=> c1_1(a1002) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f405,plain,
    ( spl0_38
  <=> ! [X28] :
        ( ~ c2_1(X28)
        | c1_1(X28)
        | ~ c0_1(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f965,plain,
    ( spl0_144
  <=> c2_1(a1002) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f970,plain,
    ( spl0_145
  <=> c0_1(a1002) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f2584,plain,
    ( c1_1(a1002)
    | ~ spl0_38
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f2564,f967]) ).

fof(f967,plain,
    ( c2_1(a1002)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f965]) ).

fof(f2564,plain,
    ( c1_1(a1002)
    | ~ c2_1(a1002)
    | ~ spl0_38
    | ~ spl0_145 ),
    inference(resolution,[],[f406,f972]) ).

fof(f972,plain,
    ( c0_1(a1002)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f970]) ).

fof(f406,plain,
    ( ! [X28] :
        ( ~ c0_1(X28)
        | c1_1(X28)
        | ~ c2_1(X28) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f2562,plain,
    ( spl0_83
    | spl0_158
    | ~ spl0_43
    | spl0_84 ),
    inference(avatar_split_clause,[],[f2090,f645,f429,f1796,f640]) ).

fof(f640,plain,
    ( spl0_83
  <=> c2_1(a1043) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1796,plain,
    ( spl0_158
  <=> c3_1(a1043) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f429,plain,
    ( spl0_43
  <=> ! [X39] :
        ( c3_1(X39)
        | c1_1(X39)
        | c2_1(X39) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f645,plain,
    ( spl0_84
  <=> c1_1(a1043) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f2090,plain,
    ( c3_1(a1043)
    | c2_1(a1043)
    | ~ spl0_43
    | spl0_84 ),
    inference(resolution,[],[f647,f430]) ).

fof(f430,plain,
    ( ! [X39] :
        ( c1_1(X39)
        | c3_1(X39)
        | c2_1(X39) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f647,plain,
    ( ~ c1_1(a1043)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f2560,plain,
    ( ~ spl0_36
    | spl0_84
    | ~ spl0_85
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f2559]) ).

fof(f2559,plain,
    ( $false
    | ~ spl0_36
    | spl0_84
    | ~ spl0_85
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f2558,f652]) ).

fof(f652,plain,
    ( c0_1(a1043)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f650,plain,
    ( spl0_85
  <=> c0_1(a1043) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f2558,plain,
    ( ~ c0_1(a1043)
    | ~ spl0_36
    | spl0_84
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f2547,f647]) ).

fof(f2547,plain,
    ( c1_1(a1043)
    | ~ c0_1(a1043)
    | ~ spl0_36
    | ~ spl0_158 ),
    inference(resolution,[],[f396,f1798]) ).

fof(f1798,plain,
    ( c3_1(a1043)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1796]) ).

fof(f2485,plain,
    ( ~ spl0_162
    | ~ spl0_21
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2484,f986,f981,f331,f1983]) ).

fof(f986,plain,
    ( spl0_148
  <=> c2_1(a1001) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f2484,plain,
    ( ~ c0_1(a1001)
    | ~ spl0_21
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f2470,f988]) ).

fof(f988,plain,
    ( c2_1(a1001)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f986]) ).

fof(f2470,plain,
    ( ~ c0_1(a1001)
    | ~ c2_1(a1001)
    | ~ spl0_21
    | ~ spl0_147 ),
    inference(resolution,[],[f332,f983]) ).

fof(f2456,plain,
    ( spl0_165
    | spl0_75
    | ~ spl0_56
    | spl0_74 ),
    inference(avatar_split_clause,[],[f2455,f592,f499,f597,f2252]) ).

fof(f597,plain,
    ( spl0_75
  <=> c0_1(a1048) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f499,plain,
    ( spl0_56
  <=> ! [X92] :
        ( c3_1(X92)
        | c0_1(X92)
        | c2_1(X92) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f2455,plain,
    ( c0_1(a1048)
    | c2_1(a1048)
    | ~ spl0_56
    | spl0_74 ),
    inference(resolution,[],[f594,f500]) ).

fof(f500,plain,
    ( ! [X92] :
        ( c3_1(X92)
        | c0_1(X92)
        | c2_1(X92) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f2453,plain,
    ( ~ spl0_48
    | ~ spl0_56
    | spl0_86
    | spl0_87 ),
    inference(avatar_contradiction_clause,[],[f2452]) ).

fof(f2452,plain,
    ( $false
    | ~ spl0_48
    | ~ spl0_56
    | spl0_86
    | spl0_87 ),
    inference(subsumption_resolution,[],[f2443,f663]) ).

fof(f663,plain,
    ( ~ c0_1(a1041)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f661]) ).

fof(f661,plain,
    ( spl0_87
  <=> c0_1(a1041) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f2443,plain,
    ( c0_1(a1041)
    | ~ spl0_48
    | ~ spl0_56
    | spl0_86 ),
    inference(resolution,[],[f2426,f658]) ).

fof(f2426,plain,
    ( ! [X61] :
        ( c3_1(X61)
        | c0_1(X61) )
    | ~ spl0_48
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f457,f500]) ).

fof(f457,plain,
    ( ! [X61] :
        ( ~ c2_1(X61)
        | c0_1(X61)
        | c3_1(X61) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f456,plain,
    ( spl0_48
  <=> ! [X61] :
        ( ~ c2_1(X61)
        | c0_1(X61)
        | c3_1(X61) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f2451,plain,
    ( ~ spl0_48
    | ~ spl0_56
    | spl0_92
    | spl0_94 ),
    inference(avatar_contradiction_clause,[],[f2450]) ).

fof(f2450,plain,
    ( $false
    | ~ spl0_48
    | ~ spl0_56
    | spl0_92
    | spl0_94 ),
    inference(subsumption_resolution,[],[f2442,f700]) ).

fof(f700,plain,
    ( ~ c0_1(a1037)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f698]) ).

fof(f698,plain,
    ( spl0_94
  <=> c0_1(a1037) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f2442,plain,
    ( c0_1(a1037)
    | ~ spl0_48
    | ~ spl0_56
    | spl0_92 ),
    inference(resolution,[],[f2426,f690]) ).

fof(f690,plain,
    ( ~ c3_1(a1037)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f688,plain,
    ( spl0_92
  <=> c3_1(a1037) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f2449,plain,
    ( ~ spl0_48
    | ~ spl0_56
    | spl0_113
    | spl0_156 ),
    inference(avatar_contradiction_clause,[],[f2448]) ).

fof(f2448,plain,
    ( $false
    | ~ spl0_48
    | ~ spl0_56
    | spl0_113
    | spl0_156 ),
    inference(subsumption_resolution,[],[f2439,f802]) ).

fof(f2439,plain,
    ( c0_1(a1019)
    | ~ spl0_48
    | ~ spl0_56
    | spl0_156 ),
    inference(resolution,[],[f2426,f1658]) ).

fof(f1658,plain,
    ( ~ c3_1(a1019)
    | spl0_156 ),
    inference(avatar_component_clause,[],[f1656]) ).

fof(f2420,plain,
    ( ~ spl0_46
    | ~ spl0_52
    | spl0_141
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f2419]) ).

fof(f2419,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_52
    | spl0_141
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f2408,f951]) ).

fof(f951,plain,
    ( ~ c0_1(a1003)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f949]) ).

fof(f949,plain,
    ( spl0_141
  <=> c0_1(a1003) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f2408,plain,
    ( c0_1(a1003)
    | ~ spl0_46
    | ~ spl0_52
    | ~ spl0_142 ),
    inference(resolution,[],[f2397,f956]) ).

fof(f956,plain,
    ( c1_1(a1003)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f954]) ).

fof(f954,plain,
    ( spl0_142
  <=> c1_1(a1003) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2397,plain,
    ( ! [X51] :
        ( ~ c1_1(X51)
        | c0_1(X51) )
    | ~ spl0_46
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f446,f475]) ).

fof(f446,plain,
    ( ! [X51] :
        ( ~ c3_1(X51)
        | c0_1(X51)
        | ~ c1_1(X51) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f445,plain,
    ( spl0_46
  <=> ! [X51] :
        ( ~ c3_1(X51)
        | c0_1(X51)
        | ~ c1_1(X51) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f2396,plain,
    ( spl0_135
    | spl0_167
    | ~ spl0_56
    | spl0_134 ),
    inference(avatar_split_clause,[],[f2321,f912,f499,f2393,f917]) ).

fof(f917,plain,
    ( spl0_135
  <=> c2_1(a1005) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f912,plain,
    ( spl0_134
  <=> c3_1(a1005) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2321,plain,
    ( c0_1(a1005)
    | c2_1(a1005)
    | ~ spl0_56
    | spl0_134 ),
    inference(resolution,[],[f500,f914]) ).

fof(f914,plain,
    ( ~ c3_1(a1005)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f912]) ).

fof(f2391,plain,
    ( spl0_74
    | spl0_75
    | ~ spl0_52
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f2233,f602,f474,f597,f592]) ).

fof(f2233,plain,
    ( c0_1(a1048)
    | c3_1(a1048)
    | ~ spl0_52
    | ~ spl0_76 ),
    inference(resolution,[],[f475,f604]) ).

fof(f2379,plain,
    ( ~ spl0_56
    | ~ spl0_58
    | spl0_140
    | spl0_141 ),
    inference(avatar_contradiction_clause,[],[f2378]) ).

fof(f2378,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_58
    | spl0_140
    | spl0_141 ),
    inference(subsumption_resolution,[],[f2362,f951]) ).

fof(f2362,plain,
    ( c0_1(a1003)
    | ~ spl0_56
    | ~ spl0_58
    | spl0_140 ),
    inference(resolution,[],[f2355,f946]) ).

fof(f946,plain,
    ( ~ c2_1(a1003)
    | spl0_140 ),
    inference(avatar_component_clause,[],[f944]) ).

fof(f944,plain,
    ( spl0_140
  <=> c2_1(a1003) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2355,plain,
    ( ! [X101] :
        ( c2_1(X101)
        | c0_1(X101) )
    | ~ spl0_56
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f510,f500]) ).

fof(f510,plain,
    ( ! [X101] :
        ( ~ c3_1(X101)
        | c0_1(X101)
        | c2_1(X101) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f509,plain,
    ( spl0_58
  <=> ! [X101] :
        ( ~ c3_1(X101)
        | c0_1(X101)
        | c2_1(X101) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f2354,plain,
    ( ~ spl0_57
    | spl0_116
    | spl0_117
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f2353]) ).

fof(f2353,plain,
    ( $false
    | ~ spl0_57
    | spl0_116
    | spl0_117
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f2352,f818]) ).

fof(f818,plain,
    ( ~ c1_1(a1015)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f816,plain,
    ( spl0_116
  <=> c1_1(a1015) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f2352,plain,
    ( c1_1(a1015)
    | ~ spl0_57
    | spl0_117
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f2338,f823]) ).

fof(f823,plain,
    ( ~ c0_1(a1015)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f821,plain,
    ( spl0_117
  <=> c0_1(a1015) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2338,plain,
    ( c0_1(a1015)
    | c1_1(a1015)
    | ~ spl0_57
    | ~ spl0_118 ),
    inference(resolution,[],[f506,f828]) ).

fof(f828,plain,
    ( c3_1(a1015)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f826,plain,
    ( spl0_118
  <=> c3_1(a1015) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f506,plain,
    ( ! [X99] :
        ( ~ c3_1(X99)
        | c0_1(X99)
        | c1_1(X99) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f505,plain,
    ( spl0_57
  <=> ! [X99] :
        ( ~ c3_1(X99)
        | c0_1(X99)
        | c1_1(X99) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f2351,plain,
    ( ~ spl0_57
    | spl0_146
    | ~ spl0_147
    | spl0_162 ),
    inference(avatar_contradiction_clause,[],[f2350]) ).

fof(f2350,plain,
    ( $false
    | ~ spl0_57
    | spl0_146
    | ~ spl0_147
    | spl0_162 ),
    inference(subsumption_resolution,[],[f2349,f978]) ).

fof(f2349,plain,
    ( c1_1(a1001)
    | ~ spl0_57
    | ~ spl0_147
    | spl0_162 ),
    inference(subsumption_resolution,[],[f2333,f1984]) ).

fof(f1984,plain,
    ( ~ c0_1(a1001)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1983]) ).

fof(f2333,plain,
    ( c0_1(a1001)
    | c1_1(a1001)
    | ~ spl0_57
    | ~ spl0_147 ),
    inference(resolution,[],[f506,f983]) ).

fof(f2311,plain,
    ( ~ spl0_24
    | ~ spl0_37
    | ~ spl0_54
    | spl0_141
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f2310]) ).

fof(f2310,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_37
    | ~ spl0_54
    | spl0_141
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f2299,f951]) ).

fof(f2299,plain,
    ( c0_1(a1003)
    | ~ spl0_24
    | ~ spl0_37
    | ~ spl0_54
    | ~ spl0_142 ),
    inference(resolution,[],[f2297,f956]) ).

fof(f2297,plain,
    ( ! [X80] :
        ( ~ c1_1(X80)
        | c0_1(X80) )
    | ~ spl0_24
    | ~ spl0_37
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f487,f2203]) ).

fof(f2203,plain,
    ( ! [X22] :
        ( ~ c2_1(X22)
        | ~ c1_1(X22) )
    | ~ spl0_24
    | ~ spl0_37 ),
    inference(subsumption_resolution,[],[f401,f346]) ).

fof(f487,plain,
    ( ! [X80] :
        ( ~ c1_1(X80)
        | c0_1(X80)
        | c2_1(X80) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f486,plain,
    ( spl0_54
  <=> ! [X80] :
        ( ~ c1_1(X80)
        | c0_1(X80)
        | c2_1(X80) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f2238,plain,
    ( spl0_56
    | ~ spl0_43
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f2237,f474,f429,f499]) ).

fof(f2237,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_43
    | ~ spl0_52 ),
    inference(duplicate_literal_removal,[],[f2225]) ).

fof(f2225,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_43
    | ~ spl0_52 ),
    inference(resolution,[],[f475,f430]) ).

fof(f2199,plain,
    ( ~ spl0_27
    | spl0_80
    | ~ spl0_81
    | ~ spl0_82 ),
    inference(avatar_contradiction_clause,[],[f2198]) ).

fof(f2198,plain,
    ( $false
    | ~ spl0_27
    | spl0_80
    | ~ spl0_81
    | ~ spl0_82 ),
    inference(subsumption_resolution,[],[f2197,f636]) ).

fof(f636,plain,
    ( c0_1(a1044)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f634]) ).

fof(f634,plain,
    ( spl0_82
  <=> c0_1(a1044) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f2197,plain,
    ( ~ c0_1(a1044)
    | ~ spl0_27
    | spl0_80
    | ~ spl0_81 ),
    inference(subsumption_resolution,[],[f2188,f626]) ).

fof(f626,plain,
    ( ~ c3_1(a1044)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f624,plain,
    ( spl0_80
  <=> c3_1(a1044) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f2188,plain,
    ( c3_1(a1044)
    | ~ c0_1(a1044)
    | ~ spl0_27
    | ~ spl0_81 ),
    inference(resolution,[],[f358,f631]) ).

fof(f631,plain,
    ( c1_1(a1044)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f629]) ).

fof(f629,plain,
    ( spl0_81
  <=> c1_1(a1044) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f2174,plain,
    ( ~ spl0_24
    | spl0_137
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f2173]) ).

fof(f2173,plain,
    ( $false
    | ~ spl0_24
    | spl0_137
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2172,f935]) ).

fof(f935,plain,
    ( c2_1(a1004)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f933]) ).

fof(f933,plain,
    ( spl0_138
  <=> c2_1(a1004) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2172,plain,
    ( ~ c2_1(a1004)
    | ~ spl0_24
    | spl0_137
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2159,f930]) ).

fof(f930,plain,
    ( ~ c3_1(a1004)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f928,plain,
    ( spl0_137
  <=> c3_1(a1004) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2159,plain,
    ( c3_1(a1004)
    | ~ c2_1(a1004)
    | ~ spl0_24
    | ~ spl0_139 ),
    inference(resolution,[],[f346,f940]) ).

fof(f940,plain,
    ( c1_1(a1004)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f938]) ).

fof(f938,plain,
    ( spl0_139
  <=> c1_1(a1004) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2156,plain,
    ( ~ spl0_162
    | ~ spl0_22
    | ~ spl0_38
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2155,f986,f405,f336,f1983]) ).

fof(f336,plain,
    ( spl0_22
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f2155,plain,
    ( ~ c0_1(a1001)
    | ~ spl0_22
    | ~ spl0_38
    | ~ spl0_148 ),
    inference(resolution,[],[f988,f2142]) ).

fof(f2142,plain,
    ( ! [X28] :
        ( ~ c2_1(X28)
        | ~ c0_1(X28) )
    | ~ spl0_22
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f406,f337]) ).

fof(f337,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f2110,plain,
    ( ~ spl0_35
    | ~ spl0_37
    | ~ spl0_48
    | spl0_105
    | ~ spl0_106 ),
    inference(avatar_contradiction_clause,[],[f2109]) ).

fof(f2109,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_37
    | ~ spl0_48
    | spl0_105
    | ~ spl0_106 ),
    inference(subsumption_resolution,[],[f2102,f759]) ).

fof(f759,plain,
    ( ~ c0_1(a1026)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f757,plain,
    ( spl0_105
  <=> c0_1(a1026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f2102,plain,
    ( c0_1(a1026)
    | ~ spl0_35
    | ~ spl0_37
    | ~ spl0_48
    | ~ spl0_106 ),
    inference(resolution,[],[f2089,f764]) ).

fof(f764,plain,
    ( c2_1(a1026)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f762,plain,
    ( spl0_106
  <=> c2_1(a1026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f2089,plain,
    ( ! [X61] :
        ( ~ c2_1(X61)
        | c0_1(X61) )
    | ~ spl0_35
    | ~ spl0_37
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f457,f2039]) ).

fof(f2039,plain,
    ( ! [X22] :
        ( ~ c3_1(X22)
        | ~ c2_1(X22) )
    | ~ spl0_35
    | ~ spl0_37 ),
    inference(subsumption_resolution,[],[f401,f392]) ).

fof(f392,plain,
    ( ! [X19] :
        ( ~ c2_1(X19)
        | c1_1(X19)
        | ~ c3_1(X19) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f391,plain,
    ( spl0_35
  <=> ! [X19] :
        ( ~ c3_1(X19)
        | c1_1(X19)
        | ~ c2_1(X19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f2108,plain,
    ( ~ spl0_35
    | ~ spl0_37
    | ~ spl0_48
    | spl0_113
    | ~ spl0_114 ),
    inference(avatar_contradiction_clause,[],[f2107]) ).

fof(f2107,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_37
    | ~ spl0_48
    | spl0_113
    | ~ spl0_114 ),
    inference(subsumption_resolution,[],[f2101,f802]) ).

fof(f2101,plain,
    ( c0_1(a1019)
    | ~ spl0_35
    | ~ spl0_37
    | ~ spl0_48
    | ~ spl0_114 ),
    inference(resolution,[],[f2089,f807]) ).

fof(f2034,plain,
    ( ~ spl0_45
    | ~ spl0_48
    | spl0_105
    | ~ spl0_106 ),
    inference(avatar_contradiction_clause,[],[f2033]) ).

fof(f2033,plain,
    ( $false
    | ~ spl0_45
    | ~ spl0_48
    | spl0_105
    | ~ spl0_106 ),
    inference(subsumption_resolution,[],[f2024,f759]) ).

fof(f2024,plain,
    ( c0_1(a1026)
    | ~ spl0_45
    | ~ spl0_48
    | ~ spl0_106 ),
    inference(resolution,[],[f2008,f764]) ).

fof(f2008,plain,
    ( ! [X61] :
        ( ~ c2_1(X61)
        | c0_1(X61) )
    | ~ spl0_45
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f457,f442]) ).

fof(f442,plain,
    ( ! [X49] :
        ( ~ c3_1(X49)
        | c0_1(X49)
        | ~ c2_1(X49) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f441,plain,
    ( spl0_45
  <=> ! [X49] :
        ( ~ c3_1(X49)
        | c0_1(X49)
        | ~ c2_1(X49) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1992,plain,
    ( spl0_146
    | ~ spl0_35
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1991,f986,f981,f391,f976]) ).

fof(f1991,plain,
    ( c1_1(a1001)
    | ~ spl0_35
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f1987,f983]) ).

fof(f1987,plain,
    ( c1_1(a1001)
    | ~ c3_1(a1001)
    | ~ spl0_35
    | ~ spl0_148 ),
    inference(resolution,[],[f988,f392]) ).

fof(f1974,plain,
    ( ~ spl0_25
    | ~ spl0_48
    | spl0_86
    | ~ spl0_88 ),
    inference(avatar_contradiction_clause,[],[f1973]) ).

fof(f1973,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_48
    | spl0_86
    | ~ spl0_88 ),
    inference(subsumption_resolution,[],[f1951,f668]) ).

fof(f1951,plain,
    ( ~ c2_1(a1041)
    | ~ spl0_25
    | ~ spl0_48
    | spl0_86 ),
    inference(resolution,[],[f1937,f658]) ).

fof(f1937,plain,
    ( ! [X61] :
        ( c3_1(X61)
        | ~ c2_1(X61) )
    | ~ spl0_25
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f457,f350]) ).

fof(f350,plain,
    ( ! [X6] :
        ( c3_1(X6)
        | ~ c2_1(X6)
        | ~ c0_1(X6) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f1960,plain,
    ( ~ spl0_25
    | ~ spl0_48
    | spl0_128
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f1959]) ).

fof(f1959,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_48
    | spl0_128
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1942,f892]) ).

fof(f1942,plain,
    ( ~ c2_1(a1008)
    | ~ spl0_25
    | ~ spl0_48
    | spl0_128 ),
    inference(resolution,[],[f1937,f882]) ).

fof(f1956,plain,
    ( ~ spl0_25
    | ~ spl0_48
    | spl0_137
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f1955]) ).

fof(f1955,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_48
    | spl0_137
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1940,f935]) ).

fof(f1940,plain,
    ( ~ c2_1(a1004)
    | ~ spl0_25
    | ~ spl0_48
    | spl0_137 ),
    inference(resolution,[],[f1937,f930]) ).

fof(f1935,plain,
    ( ~ spl0_45
    | spl0_113
    | ~ spl0_114
    | ~ spl0_156 ),
    inference(avatar_contradiction_clause,[],[f1934]) ).

fof(f1934,plain,
    ( $false
    | ~ spl0_45
    | spl0_113
    | ~ spl0_114
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f1933,f807]) ).

fof(f1933,plain,
    ( ~ c2_1(a1019)
    | ~ spl0_45
    | spl0_113
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f1926,f802]) ).

fof(f1926,plain,
    ( c0_1(a1019)
    | ~ c2_1(a1019)
    | ~ spl0_45
    | ~ spl0_156 ),
    inference(resolution,[],[f442,f1657]) ).

fof(f1657,plain,
    ( c3_1(a1019)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1656]) ).

fof(f1918,plain,
    ( ~ spl0_152
    | ~ spl0_25
    | spl0_80
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1917,f634,f624,f349,f1028]) ).

fof(f1028,plain,
    ( spl0_152
  <=> c2_1(a1044) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1917,plain,
    ( ~ c2_1(a1044)
    | ~ spl0_25
    | spl0_80
    | ~ spl0_82 ),
    inference(subsumption_resolution,[],[f1758,f636]) ).

fof(f1758,plain,
    ( ~ c2_1(a1044)
    | ~ c0_1(a1044)
    | ~ spl0_25
    | spl0_80 ),
    inference(resolution,[],[f350,f626]) ).

fof(f1815,plain,
    ( spl0_131
    | ~ spl0_29
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1814,f906,f901,f365,f896]) ).

fof(f896,plain,
    ( spl0_131
  <=> c2_1(a1006) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f901,plain,
    ( spl0_132
  <=> c3_1(a1006) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f906,plain,
    ( spl0_133
  <=> c0_1(a1006) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1814,plain,
    ( c2_1(a1006)
    | ~ spl0_29
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1801,f903]) ).

fof(f903,plain,
    ( c3_1(a1006)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f1801,plain,
    ( c2_1(a1006)
    | ~ c3_1(a1006)
    | ~ spl0_29
    | ~ spl0_133 ),
    inference(resolution,[],[f366,f908]) ).

fof(f908,plain,
    ( c0_1(a1006)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f1747,plain,
    ( ~ spl0_152
    | ~ spl0_24
    | spl0_80
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1746,f629,f624,f345,f1028]) ).

fof(f1746,plain,
    ( ~ c2_1(a1044)
    | ~ spl0_24
    | spl0_80
    | ~ spl0_81 ),
    inference(subsumption_resolution,[],[f1735,f626]) ).

fof(f1735,plain,
    ( c3_1(a1044)
    | ~ c2_1(a1044)
    | ~ spl0_24
    | ~ spl0_81 ),
    inference(resolution,[],[f346,f631]) ).

fof(f1723,plain,
    ( ~ spl0_46
    | spl0_77
    | ~ spl0_78
    | ~ spl0_79 ),
    inference(avatar_contradiction_clause,[],[f1722]) ).

fof(f1722,plain,
    ( $false
    | ~ spl0_46
    | spl0_77
    | ~ spl0_78
    | ~ spl0_79 ),
    inference(subsumption_resolution,[],[f1721,f620]) ).

fof(f620,plain,
    ( c1_1(a1045)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f618,plain,
    ( spl0_79
  <=> c1_1(a1045) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1721,plain,
    ( ~ c1_1(a1045)
    | ~ spl0_46
    | spl0_77
    | ~ spl0_78 ),
    inference(subsumption_resolution,[],[f1714,f610]) ).

fof(f610,plain,
    ( ~ c0_1(a1045)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f608]) ).

fof(f608,plain,
    ( spl0_77
  <=> c0_1(a1045) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1714,plain,
    ( c0_1(a1045)
    | ~ c1_1(a1045)
    | ~ spl0_46
    | ~ spl0_78 ),
    inference(resolution,[],[f446,f615]) ).

fof(f615,plain,
    ( c3_1(a1045)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f613,plain,
    ( spl0_78
  <=> c3_1(a1045) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1720,plain,
    ( ~ spl0_35
    | ~ spl0_46
    | spl0_98
    | ~ spl0_99
    | ~ spl0_100 ),
    inference(avatar_contradiction_clause,[],[f1719]) ).

fof(f1719,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_46
    | spl0_98
    | ~ spl0_99
    | ~ spl0_100 ),
    inference(subsumption_resolution,[],[f1718,f1614]) ).

fof(f1614,plain,
    ( c1_1(a1032)
    | ~ spl0_35
    | ~ spl0_99
    | ~ spl0_100 ),
    inference(subsumption_resolution,[],[f1604,f727]) ).

fof(f727,plain,
    ( c3_1(a1032)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f725,plain,
    ( spl0_99
  <=> c3_1(a1032) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1604,plain,
    ( c1_1(a1032)
    | ~ c3_1(a1032)
    | ~ spl0_35
    | ~ spl0_100 ),
    inference(resolution,[],[f392,f732]) ).

fof(f732,plain,
    ( c2_1(a1032)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f730]) ).

fof(f730,plain,
    ( spl0_100
  <=> c2_1(a1032) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1718,plain,
    ( ~ c1_1(a1032)
    | ~ spl0_46
    | spl0_98
    | ~ spl0_99 ),
    inference(subsumption_resolution,[],[f1712,f722]) ).

fof(f722,plain,
    ( ~ c0_1(a1032)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f720,plain,
    ( spl0_98
  <=> c0_1(a1032) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1712,plain,
    ( c0_1(a1032)
    | ~ c1_1(a1032)
    | ~ spl0_46
    | ~ spl0_99 ),
    inference(resolution,[],[f446,f727]) ).

fof(f1654,plain,
    ( ~ spl0_35
    | ~ spl0_47
    | spl0_98
    | ~ spl0_99
    | ~ spl0_100 ),
    inference(avatar_contradiction_clause,[],[f1653]) ).

fof(f1653,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_47
    | spl0_98
    | ~ spl0_99
    | ~ spl0_100 ),
    inference(subsumption_resolution,[],[f1652,f732]) ).

fof(f1652,plain,
    ( ~ c2_1(a1032)
    | ~ spl0_35
    | ~ spl0_47
    | spl0_98
    | ~ spl0_99
    | ~ spl0_100 ),
    inference(subsumption_resolution,[],[f1651,f722]) ).

fof(f1651,plain,
    ( c0_1(a1032)
    | ~ c2_1(a1032)
    | ~ spl0_35
    | ~ spl0_47
    | ~ spl0_99
    | ~ spl0_100 ),
    inference(resolution,[],[f1614,f451]) ).

fof(f451,plain,
    ( ! [X56] :
        ( ~ c1_1(X56)
        | c0_1(X56)
        | ~ c2_1(X56) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f450,plain,
    ( spl0_47
  <=> ! [X56] :
        ( ~ c2_1(X56)
        | c0_1(X56)
        | ~ c1_1(X56) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f1633,plain,
    ( ~ spl0_35
    | ~ spl0_37
    | ~ spl0_99
    | ~ spl0_100 ),
    inference(avatar_contradiction_clause,[],[f1632]) ).

fof(f1632,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_37
    | ~ spl0_99
    | ~ spl0_100 ),
    inference(subsumption_resolution,[],[f1623,f732]) ).

fof(f1623,plain,
    ( ~ c2_1(a1032)
    | ~ spl0_35
    | ~ spl0_37
    | ~ spl0_99 ),
    inference(resolution,[],[f1615,f727]) ).

fof(f1615,plain,
    ( ! [X22] :
        ( ~ c3_1(X22)
        | ~ c2_1(X22) )
    | ~ spl0_35
    | ~ spl0_37 ),
    inference(subsumption_resolution,[],[f401,f392]) ).

fof(f1526,plain,
    ( ~ spl0_30
    | spl0_122
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f1525]) ).

fof(f1525,plain,
    ( $false
    | ~ spl0_30
    | spl0_122
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f1524,f860]) ).

fof(f860,plain,
    ( c0_1(a1011)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f858]) ).

fof(f858,plain,
    ( spl0_124
  <=> c0_1(a1011) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1524,plain,
    ( ~ c0_1(a1011)
    | ~ spl0_30
    | spl0_122
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f1516,f850]) ).

fof(f850,plain,
    ( ~ c2_1(a1011)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f848,plain,
    ( spl0_122
  <=> c2_1(a1011) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1516,plain,
    ( c2_1(a1011)
    | ~ c0_1(a1011)
    | ~ spl0_30
    | ~ spl0_123 ),
    inference(resolution,[],[f370,f855]) ).

fof(f855,plain,
    ( c1_1(a1011)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f853]) ).

fof(f853,plain,
    ( spl0_123
  <=> c1_1(a1011) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f370,plain,
    ( ! [X10] :
        ( ~ c1_1(X10)
        | c2_1(X10)
        | ~ c0_1(X10) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f369,plain,
    ( spl0_30
  <=> ! [X10] :
        ( ~ c1_1(X10)
        | c2_1(X10)
        | ~ c0_1(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1461,plain,
    ( ~ spl0_47
    | spl0_113
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(avatar_contradiction_clause,[],[f1460]) ).

fof(f1460,plain,
    ( $false
    | ~ spl0_47
    | spl0_113
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(subsumption_resolution,[],[f1459,f807]) ).

fof(f1459,plain,
    ( ~ c2_1(a1019)
    | ~ spl0_47
    | spl0_113
    | ~ spl0_115 ),
    inference(subsumption_resolution,[],[f1449,f802]) ).

fof(f1449,plain,
    ( c0_1(a1019)
    | ~ c2_1(a1019)
    | ~ spl0_47
    | ~ spl0_115 ),
    inference(resolution,[],[f451,f812]) ).

fof(f1414,plain,
    ( ~ spl0_45
    | spl0_98
    | ~ spl0_99
    | ~ spl0_100 ),
    inference(avatar_contradiction_clause,[],[f1413]) ).

fof(f1413,plain,
    ( $false
    | ~ spl0_45
    | spl0_98
    | ~ spl0_99
    | ~ spl0_100 ),
    inference(subsumption_resolution,[],[f1412,f732]) ).

fof(f1412,plain,
    ( ~ c2_1(a1032)
    | ~ spl0_45
    | spl0_98
    | ~ spl0_99 ),
    inference(subsumption_resolution,[],[f1404,f722]) ).

fof(f1404,plain,
    ( c0_1(a1032)
    | ~ c2_1(a1032)
    | ~ spl0_45
    | ~ spl0_99 ),
    inference(resolution,[],[f442,f727]) ).

fof(f1400,plain,
    ( ~ spl0_35
    | ~ spl0_41
    | ~ spl0_43
    | ~ spl0_46
    | spl0_72
    | ~ spl0_73 ),
    inference(avatar_contradiction_clause,[],[f1399]) ).

fof(f1399,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_41
    | ~ spl0_43
    | ~ spl0_46
    | spl0_72
    | ~ spl0_73 ),
    inference(subsumption_resolution,[],[f1390,f583]) ).

fof(f583,plain,
    ( ~ c0_1(a1052)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f581,plain,
    ( spl0_72
  <=> c0_1(a1052) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1390,plain,
    ( c0_1(a1052)
    | ~ spl0_35
    | ~ spl0_41
    | ~ spl0_43
    | ~ spl0_46
    | ~ spl0_73 ),
    inference(resolution,[],[f1384,f588]) ).

fof(f588,plain,
    ( c3_1(a1052)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f586,plain,
    ( spl0_73
  <=> c3_1(a1052) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1384,plain,
    ( ! [X51] :
        ( ~ c3_1(X51)
        | c0_1(X51) )
    | ~ spl0_35
    | ~ spl0_41
    | ~ spl0_43
    | ~ spl0_46 ),
    inference(subsumption_resolution,[],[f446,f1354]) ).

fof(f1354,plain,
    ( ! [X19] :
        ( c1_1(X19)
        | ~ c3_1(X19) )
    | ~ spl0_35
    | ~ spl0_41
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f392,f1150]) ).

fof(f1150,plain,
    ( ! [X36] :
        ( c1_1(X36)
        | c2_1(X36) )
    | ~ spl0_41
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f421,f430]) ).

fof(f421,plain,
    ( ! [X36] :
        ( ~ c3_1(X36)
        | c1_1(X36)
        | c2_1(X36) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f420,plain,
    ( spl0_41
  <=> ! [X36] :
        ( ~ c3_1(X36)
        | c1_1(X36)
        | c2_1(X36) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1205,plain,
    ( spl0_83
    | ~ spl0_41
    | ~ spl0_43
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1199,f645,f429,f420,f640]) ).

fof(f1199,plain,
    ( c2_1(a1043)
    | ~ spl0_41
    | ~ spl0_43
    | spl0_84 ),
    inference(resolution,[],[f1150,f647]) ).

fof(f1202,plain,
    ( ~ spl0_41
    | ~ spl0_43
    | spl0_89
    | spl0_90 ),
    inference(avatar_contradiction_clause,[],[f1201]) ).

fof(f1201,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_43
    | spl0_89
    | spl0_90 ),
    inference(subsumption_resolution,[],[f1198,f674]) ).

fof(f674,plain,
    ( ~ c2_1(a1038)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f672,plain,
    ( spl0_89
  <=> c2_1(a1038) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1198,plain,
    ( c2_1(a1038)
    | ~ spl0_41
    | ~ spl0_43
    | spl0_90 ),
    inference(resolution,[],[f1150,f679]) ).

fof(f679,plain,
    ( ~ c1_1(a1038)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f677,plain,
    ( spl0_90
  <=> c1_1(a1038) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1181,plain,
    ( spl0_152
    | ~ spl0_32
    | ~ spl0_43
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1178,f624,f429,f379,f1028]) ).

fof(f379,plain,
    ( spl0_32
  <=> ! [X15] :
        ( ~ c1_1(X15)
        | c2_1(X15)
        | c3_1(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1178,plain,
    ( c2_1(a1044)
    | ~ spl0_32
    | ~ spl0_43
    | spl0_80 ),
    inference(resolution,[],[f626,f1135]) ).

fof(f1135,plain,
    ( ! [X15] :
        ( c3_1(X15)
        | c2_1(X15) )
    | ~ spl0_32
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f380,f430]) ).

fof(f380,plain,
    ( ! [X15] :
        ( ~ c1_1(X15)
        | c2_1(X15)
        | c3_1(X15) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f1162,plain,
    ( ~ spl0_32
    | ~ spl0_43
    | spl0_107
    | spl0_108 ),
    inference(avatar_contradiction_clause,[],[f1161]) ).

fof(f1161,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_43
    | spl0_107
    | spl0_108 ),
    inference(subsumption_resolution,[],[f1157,f775]) ).

fof(f775,plain,
    ( ~ c2_1(a1025)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f773]) ).

fof(f773,plain,
    ( spl0_108
  <=> c2_1(a1025) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1157,plain,
    ( c2_1(a1025)
    | ~ spl0_32
    | ~ spl0_43
    | spl0_107 ),
    inference(resolution,[],[f1135,f770]) ).

fof(f1143,plain,
    ( ~ spl0_67
    | ~ spl0_22
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1142,f549,f544,f336,f554]) ).

fof(f554,plain,
    ( spl0_67
  <=> c0_1(a1033) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f544,plain,
    ( spl0_65
  <=> c2_1(a1033) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f549,plain,
    ( spl0_66
  <=> c1_1(a1033) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1142,plain,
    ( ~ c0_1(a1033)
    | ~ spl0_22
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(subsumption_resolution,[],[f1138,f546]) ).

fof(f546,plain,
    ( c2_1(a1033)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f1138,plain,
    ( ~ c0_1(a1033)
    | ~ c2_1(a1033)
    | ~ spl0_22
    | ~ spl0_66 ),
    inference(resolution,[],[f551,f337]) ).

fof(f551,plain,
    ( c1_1(a1033)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f1106,plain,
    ( ~ spl0_41
    | spl0_110
    | spl0_111
    | ~ spl0_112 ),
    inference(avatar_contradiction_clause,[],[f1105]) ).

fof(f1105,plain,
    ( $false
    | ~ spl0_41
    | spl0_110
    | spl0_111
    | ~ spl0_112 ),
    inference(subsumption_resolution,[],[f1104,f786]) ).

fof(f786,plain,
    ( ~ c2_1(a1023)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f784]) ).

fof(f784,plain,
    ( spl0_110
  <=> c2_1(a1023) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1104,plain,
    ( c2_1(a1023)
    | ~ spl0_41
    | spl0_111
    | ~ spl0_112 ),
    inference(subsumption_resolution,[],[f1097,f791]) ).

fof(f791,plain,
    ( ~ c1_1(a1023)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f789]) ).

fof(f789,plain,
    ( spl0_111
  <=> c1_1(a1023) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1097,plain,
    ( c1_1(a1023)
    | c2_1(a1023)
    | ~ spl0_41
    | ~ spl0_112 ),
    inference(resolution,[],[f421,f796]) ).

fof(f796,plain,
    ( c3_1(a1023)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f794]) ).

fof(f794,plain,
    ( spl0_112
  <=> c3_1(a1023) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1083,plain,
    ( ~ spl0_127
    | ~ spl0_36
    | spl0_125
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1082,f869,f864,f395,f874]) ).

fof(f864,plain,
    ( spl0_125
  <=> c1_1(a1010) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1082,plain,
    ( ~ c0_1(a1010)
    | ~ spl0_36
    | spl0_125
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f1080,f866]) ).

fof(f866,plain,
    ( ~ c1_1(a1010)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f1080,plain,
    ( c1_1(a1010)
    | ~ c0_1(a1010)
    | ~ spl0_36
    | ~ spl0_126 ),
    inference(resolution,[],[f871,f396]) ).

fof(f1056,plain,
    ( ~ spl0_34
    | spl0_80
    | ~ spl0_82
    | spl0_152 ),
    inference(avatar_contradiction_clause,[],[f1055]) ).

fof(f1055,plain,
    ( $false
    | ~ spl0_34
    | spl0_80
    | ~ spl0_82
    | spl0_152 ),
    inference(subsumption_resolution,[],[f1054,f626]) ).

fof(f1054,plain,
    ( c3_1(a1044)
    | ~ spl0_34
    | ~ spl0_82
    | spl0_152 ),
    inference(subsumption_resolution,[],[f1048,f1030]) ).

fof(f1030,plain,
    ( ~ c2_1(a1044)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f1028]) ).

fof(f1048,plain,
    ( c2_1(a1044)
    | c3_1(a1044)
    | ~ spl0_34
    | ~ spl0_82 ),
    inference(resolution,[],[f388,f636]) ).

fof(f388,plain,
    ( ! [X16] :
        ( ~ c0_1(X16)
        | c2_1(X16)
        | c3_1(X16) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f387,plain,
    ( spl0_34
  <=> ! [X16] :
        ( ~ c0_1(X16)
        | c2_1(X16)
        | c3_1(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1052,plain,
    ( ~ spl0_34
    | spl0_107
    | spl0_108
    | ~ spl0_109 ),
    inference(avatar_contradiction_clause,[],[f1051]) ).

fof(f1051,plain,
    ( $false
    | ~ spl0_34
    | spl0_107
    | spl0_108
    | ~ spl0_109 ),
    inference(subsumption_resolution,[],[f1050,f770]) ).

fof(f1050,plain,
    ( c3_1(a1025)
    | ~ spl0_34
    | spl0_108
    | ~ spl0_109 ),
    inference(subsumption_resolution,[],[f1046,f775]) ).

fof(f1046,plain,
    ( c2_1(a1025)
    | c3_1(a1025)
    | ~ spl0_34
    | ~ spl0_109 ),
    inference(resolution,[],[f388,f780]) ).

fof(f1039,plain,
    ( ~ spl0_22
    | ~ spl0_30
    | ~ spl0_81
    | ~ spl0_82 ),
    inference(avatar_contradiction_clause,[],[f1038]) ).

fof(f1038,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_81
    | ~ spl0_82 ),
    inference(subsumption_resolution,[],[f1035,f636]) ).

fof(f1035,plain,
    ( ~ c0_1(a1044)
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_81 ),
    inference(resolution,[],[f1033,f631]) ).

fof(f1033,plain,
    ( ! [X10] :
        ( ~ c1_1(X10)
        | ~ c0_1(X10) )
    | ~ spl0_22
    | ~ spl0_30 ),
    inference(subsumption_resolution,[],[f370,f337]) ).

fof(f1037,plain,
    ( ~ spl0_22
    | ~ spl0_30
    | ~ spl0_63
    | ~ spl0_64 ),
    inference(avatar_contradiction_clause,[],[f1036]) ).

fof(f1036,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_63
    | ~ spl0_64 ),
    inference(subsumption_resolution,[],[f1034,f540]) ).

fof(f540,plain,
    ( c0_1(a1040)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f538,plain,
    ( spl0_64
  <=> c0_1(a1040) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1034,plain,
    ( ~ c0_1(a1040)
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_63 ),
    inference(resolution,[],[f1033,f535]) ).

fof(f535,plain,
    ( c1_1(a1040)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f533,plain,
    ( spl0_63
  <=> c1_1(a1040) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1031,plain,
    ( ~ spl0_152
    | ~ spl0_82
    | ~ spl0_22
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1025,f629,f336,f634,f1028]) ).

fof(f1025,plain,
    ( ~ c0_1(a1044)
    | ~ c2_1(a1044)
    | ~ spl0_22
    | ~ spl0_81 ),
    inference(resolution,[],[f631,f337]) ).

fof(f1023,plain,
    ( ~ spl0_21
    | ~ spl0_29
    | ~ spl0_62
    | ~ spl0_64 ),
    inference(avatar_contradiction_clause,[],[f1022]) ).

fof(f1022,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_62
    | ~ spl0_64 ),
    inference(subsumption_resolution,[],[f1019,f540]) ).

fof(f1019,plain,
    ( ~ c0_1(a1040)
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_62 ),
    inference(resolution,[],[f1018,f530]) ).

fof(f530,plain,
    ( c3_1(a1040)
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f528,plain,
    ( spl0_62
  <=> c3_1(a1040) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f1018,plain,
    ( ! [X9] :
        ( ~ c3_1(X9)
        | ~ c0_1(X9) )
    | ~ spl0_21
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f366,f332]) ).

fof(f989,plain,
    ( ~ spl0_50
    | spl0_148 ),
    inference(avatar_split_clause,[],[f12,f986,f463]) ).

fof(f463,plain,
    ( spl0_50
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f12,plain,
    ( c2_1(a1001)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp19
      | hskp25
      | hskp24 )
    & ( hskp7
      | hskp21
      | hskp4 )
    & ( hskp12
      | hskp14
      | hskp22 )
    & ( hskp26
      | hskp7
      | hskp27 )
    & ( hskp14
      | hskp6
      | hskp27 )
    & ( hskp20
      | hskp18
      | hskp23 )
    & ( hskp26
      | hskp3
      | hskp29 )
    & ( hskp5
      | hskp12
      | hskp29 )
    & ( hskp13
      | hskp23
      | hskp29 )
    & ( hskp19
      | hskp26
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp24
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp9
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp23
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp4
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp6
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp23
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp6
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c0_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp8
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c2_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X14] :
          ( ~ c2_1(X14)
          | ~ c0_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c1_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp3
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( ~ c2_1(X17)
          | ~ c1_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp24
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | ~ c1_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c1_1(X23)
          | ~ c0_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X25] :
          ( ~ c1_1(X25)
          | c3_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c2_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c2_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp29
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X30] :
          ( ~ c2_1(X30)
          | ~ c1_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c0_1(X31)
          | c3_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X32] :
          ( ~ c0_1(X32)
          | c3_1(X32)
          | c2_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c0_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X34] :
          ( ~ c2_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c0_1(X35)
          | c3_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp10
      | ! [X36] :
          ( ~ c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp28
      | ! [X37] :
          ( ~ c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X38] :
          ( ~ c1_1(X38)
          | ~ c0_1(X38)
          | c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c3_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X40] :
          ( ~ c3_1(X40)
          | ~ c0_1(X40)
          | c2_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c3_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X42] :
          ( ~ c1_1(X42)
          | c3_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c3_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X44] :
          ( ~ c2_1(X44)
          | ~ c0_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c3_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X46] :
          ( ~ c0_1(X46)
          | c3_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c3_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X48] :
          ( ~ c1_1(X48)
          | c3_1(X48)
          | c2_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c0_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( ~ c3_1(X52)
          | ~ c2_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c0_1(X55)
          | c2_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c2_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c2_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X59] :
          ( ~ c3_1(X59)
          | c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp2
      | ! [X61] :
          ( ~ c2_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c0_1(X62)
          | c1_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c2_1(X63)
          | c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( ~ c0_1(X64)
          | c3_1(X64)
          | c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c0_1(X65)
          | c1_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c2_1(X66)
          | c3_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp6
      | ! [X67] :
          ( ~ c1_1(X67)
          | c3_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X68] :
          ( ~ c3_1(X68)
          | ~ c2_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c1_1(X69)
          | c3_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( ! [X70] :
          ( ~ c2_1(X70)
          | ~ c0_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c0_1(X71)
          | c1_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c1_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X73] :
          ( ~ c2_1(X73)
          | c3_1(X73)
          | c1_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c1_1(X74)
          | c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( ~ c3_1(X75)
          | ~ c2_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c2_1(X76)
          | c1_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c1_1(X77)
          | c3_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X78] :
          ( ~ c3_1(X78)
          | ~ c1_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c1_1(X79)
          | c3_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp8
      | ! [X80] :
          ( ~ c1_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp9
      | ! [X81] :
          ( ~ c1_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X82] :
          ( ~ c2_1(X82)
          | c3_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X84] :
          ( ~ c0_1(X84)
          | c3_1(X84)
          | c1_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c1_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X86] :
          ( ~ c3_1(X86)
          | c2_1(X86)
          | c1_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c1_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X88] :
          ( ~ c2_1(X88)
          | ~ c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c1_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X90] :
          ( ~ c0_1(X90)
          | c3_1(X90)
          | c2_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c2_1(X91)
          | c3_1(X91)
          | c1_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c3_1(X92)
          | c2_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X93] :
          ( ~ c3_1(X93)
          | ~ c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( ! [X95] :
          ( c3_1(X95)
          | c2_1(X95)
          | c1_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c1_1(X96)
          | c3_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c3_1(X97)
          | c2_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X98] :
          ( ~ c2_1(X98)
          | ~ c1_1(X98)
          | ~ c0_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c3_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( ! [X100] :
          ( ~ c2_1(X100)
          | c3_1(X100)
          | c1_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c3_1(X101)
          | c2_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c3_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X103] :
          ( ~ c3_1(X103)
          | ~ c0_1(X103)
          | c2_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X105] :
          ( ~ c1_1(X105)
          | c3_1(X105)
          | c2_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( ! [X107] :
          ( ~ c1_1(X107)
          | ~ c0_1(X107)
          | c2_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c2_1(X108)
          | ~ c0_1(X108)
          | c1_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( ~ c2_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X110] :
          ( c3_1(X110)
          | c2_1(X110)
          | c1_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c3_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp0
      | ! [X112] :
          ( c2_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( ! [X113] :
          ( ~ c3_1(X113)
          | c2_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( ~ c2_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a1040)
        & c1_1(a1040)
        & c0_1(a1040)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a1033)
        & c1_1(a1033)
        & c0_1(a1033)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a1029)
        & c2_1(a1029)
        & c0_1(a1029)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a1052)
        & ~ c0_1(a1052)
        & c3_1(a1052)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a1048)
        & ~ c0_1(a1048)
        & c1_1(a1048)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a1045)
        & c3_1(a1045)
        & c1_1(a1045)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a1044)
        & c1_1(a1044)
        & c0_1(a1044)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a1043)
        & ~ c1_1(a1043)
        & c0_1(a1043)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a1041)
        & ~ c0_1(a1041)
        & c2_1(a1041)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a1038)
        & ~ c1_1(a1038)
        & ~ c0_1(a1038)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a1037)
        & ~ c1_1(a1037)
        & ~ c0_1(a1037)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a1036)
        & c3_1(a1036)
        & c1_1(a1036)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a1032)
        & c3_1(a1032)
        & c2_1(a1032)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a1030)
        & ~ c2_1(a1030)
        & c1_1(a1030)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a1026)
        & ~ c0_1(a1026)
        & c2_1(a1026)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a1025)
        & ~ c2_1(a1025)
        & c0_1(a1025)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a1023)
        & ~ c1_1(a1023)
        & c3_1(a1023)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a1019)
        & c2_1(a1019)
        & c1_1(a1019)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a1015)
        & ~ c0_1(a1015)
        & c3_1(a1015)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a1012)
        & ~ c1_1(a1012)
        & c0_1(a1012)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a1011)
        & c1_1(a1011)
        & c0_1(a1011)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a1010)
        & c3_1(a1010)
        & c0_1(a1010)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a1008)
        & ~ c1_1(a1008)
        & c2_1(a1008)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a1006)
        & c3_1(a1006)
        & c0_1(a1006)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a1005)
        & ~ c2_1(a1005)
        & ~ c1_1(a1005)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a1004)
        & c2_1(a1004)
        & c1_1(a1004)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a1003)
        & ~ c0_1(a1003)
        & c1_1(a1003)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a1002)
        & c2_1(a1002)
        & c0_1(a1002)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a1001)
        & c3_1(a1001)
        & c2_1(a1001)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a1000)
        & c2_1(a1000)
        & c0_1(a1000)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp19
      | hskp25
      | hskp24 )
    & ( hskp7
      | hskp21
      | hskp4 )
    & ( hskp12
      | hskp14
      | hskp22 )
    & ( hskp26
      | hskp7
      | hskp27 )
    & ( hskp14
      | hskp6
      | hskp27 )
    & ( hskp20
      | hskp18
      | hskp23 )
    & ( hskp26
      | hskp3
      | hskp29 )
    & ( hskp5
      | hskp12
      | hskp29 )
    & ( hskp13
      | hskp23
      | hskp29 )
    & ( hskp19
      | hskp26
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp24
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp9
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp23
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp4
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp6
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp23
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp6
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c0_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp8
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c2_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X14] :
          ( ~ c2_1(X14)
          | ~ c0_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c1_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp3
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( ~ c2_1(X17)
          | ~ c1_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp24
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | ~ c1_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c1_1(X23)
          | ~ c0_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X25] :
          ( ~ c1_1(X25)
          | c3_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c2_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c2_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp29
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X30] :
          ( ~ c2_1(X30)
          | ~ c1_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c0_1(X31)
          | c3_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X32] :
          ( ~ c0_1(X32)
          | c3_1(X32)
          | c2_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c0_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X34] :
          ( ~ c2_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c0_1(X35)
          | c3_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp10
      | ! [X36] :
          ( ~ c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp28
      | ! [X37] :
          ( ~ c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X38] :
          ( ~ c1_1(X38)
          | ~ c0_1(X38)
          | c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c3_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X40] :
          ( ~ c3_1(X40)
          | ~ c0_1(X40)
          | c2_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c3_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X42] :
          ( ~ c1_1(X42)
          | c3_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c3_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X44] :
          ( ~ c2_1(X44)
          | ~ c0_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c3_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X46] :
          ( ~ c0_1(X46)
          | c3_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c3_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X48] :
          ( ~ c1_1(X48)
          | c3_1(X48)
          | c2_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c0_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( ~ c3_1(X52)
          | ~ c2_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c0_1(X55)
          | c2_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c2_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c2_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X59] :
          ( ~ c3_1(X59)
          | c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp2
      | ! [X61] :
          ( ~ c2_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c0_1(X62)
          | c1_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c2_1(X63)
          | c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( ~ c0_1(X64)
          | c3_1(X64)
          | c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c0_1(X65)
          | c1_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c2_1(X66)
          | c3_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp6
      | ! [X67] :
          ( ~ c1_1(X67)
          | c3_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X68] :
          ( ~ c3_1(X68)
          | ~ c2_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c1_1(X69)
          | c3_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( ! [X70] :
          ( ~ c2_1(X70)
          | ~ c0_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c0_1(X71)
          | c1_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c1_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X73] :
          ( ~ c2_1(X73)
          | c3_1(X73)
          | c1_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c1_1(X74)
          | c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( ~ c3_1(X75)
          | ~ c2_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c2_1(X76)
          | c1_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c1_1(X77)
          | c3_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X78] :
          ( ~ c3_1(X78)
          | ~ c1_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c1_1(X79)
          | c3_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp8
      | ! [X80] :
          ( ~ c1_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp9
      | ! [X81] :
          ( ~ c1_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X82] :
          ( ~ c2_1(X82)
          | c3_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X84] :
          ( ~ c0_1(X84)
          | c3_1(X84)
          | c1_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c1_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X86] :
          ( ~ c3_1(X86)
          | c2_1(X86)
          | c1_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c1_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X88] :
          ( ~ c2_1(X88)
          | ~ c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c1_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X90] :
          ( ~ c0_1(X90)
          | c3_1(X90)
          | c2_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c2_1(X91)
          | c3_1(X91)
          | c1_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c3_1(X92)
          | c2_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X93] :
          ( ~ c3_1(X93)
          | ~ c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( ! [X95] :
          ( c3_1(X95)
          | c2_1(X95)
          | c1_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c1_1(X96)
          | c3_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c3_1(X97)
          | c2_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X98] :
          ( ~ c2_1(X98)
          | ~ c1_1(X98)
          | ~ c0_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c3_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( ! [X100] :
          ( ~ c2_1(X100)
          | c3_1(X100)
          | c1_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c3_1(X101)
          | c2_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c3_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X103] :
          ( ~ c3_1(X103)
          | ~ c0_1(X103)
          | c2_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X105] :
          ( ~ c1_1(X105)
          | c3_1(X105)
          | c2_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( ! [X107] :
          ( ~ c1_1(X107)
          | ~ c0_1(X107)
          | c2_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c2_1(X108)
          | ~ c0_1(X108)
          | c1_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( ~ c2_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X110] :
          ( c3_1(X110)
          | c2_1(X110)
          | c1_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c3_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp0
      | ! [X112] :
          ( c2_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( ! [X113] :
          ( ~ c3_1(X113)
          | c2_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( ~ c2_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a1040)
        & c1_1(a1040)
        & c0_1(a1040)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a1033)
        & c1_1(a1033)
        & c0_1(a1033)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a1029)
        & c2_1(a1029)
        & c0_1(a1029)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a1052)
        & ~ c0_1(a1052)
        & c3_1(a1052)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a1048)
        & ~ c0_1(a1048)
        & c1_1(a1048)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a1045)
        & c3_1(a1045)
        & c1_1(a1045)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a1044)
        & c1_1(a1044)
        & c0_1(a1044)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a1043)
        & ~ c1_1(a1043)
        & c0_1(a1043)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a1041)
        & ~ c0_1(a1041)
        & c2_1(a1041)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a1038)
        & ~ c1_1(a1038)
        & ~ c0_1(a1038)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a1037)
        & ~ c1_1(a1037)
        & ~ c0_1(a1037)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a1036)
        & c3_1(a1036)
        & c1_1(a1036)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a1032)
        & c3_1(a1032)
        & c2_1(a1032)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a1030)
        & ~ c2_1(a1030)
        & c1_1(a1030)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a1026)
        & ~ c0_1(a1026)
        & c2_1(a1026)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a1025)
        & ~ c2_1(a1025)
        & c0_1(a1025)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a1023)
        & ~ c1_1(a1023)
        & c3_1(a1023)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a1019)
        & c2_1(a1019)
        & c1_1(a1019)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a1015)
        & ~ c0_1(a1015)
        & c3_1(a1015)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a1012)
        & ~ c1_1(a1012)
        & c0_1(a1012)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a1011)
        & c1_1(a1011)
        & c0_1(a1011)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a1010)
        & c3_1(a1010)
        & c0_1(a1010)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a1008)
        & ~ c1_1(a1008)
        & c2_1(a1008)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a1006)
        & c3_1(a1006)
        & c0_1(a1006)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a1005)
        & ~ c2_1(a1005)
        & ~ c1_1(a1005)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a1004)
        & c2_1(a1004)
        & c1_1(a1004)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a1003)
        & ~ c0_1(a1003)
        & c1_1(a1003)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a1002)
        & c2_1(a1002)
        & c0_1(a1002)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a1001)
        & c3_1(a1001)
        & c2_1(a1001)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a1000)
        & c2_1(a1000)
        & c0_1(a1000)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp19
      | hskp25
      | hskp24 )
    & ( hskp7
      | hskp21
      | hskp4 )
    & ( hskp12
      | hskp14
      | hskp22 )
    & ( hskp26
      | hskp7
      | hskp27 )
    & ( hskp14
      | hskp6
      | hskp27 )
    & ( hskp20
      | hskp18
      | hskp23 )
    & ( hskp26
      | hskp3
      | hskp29 )
    & ( hskp5
      | hskp12
      | hskp29 )
    & ( hskp13
      | hskp23
      | hskp29 )
    & ( hskp19
      | hskp26
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c0_1(X0) ) ) )
    & ( hskp3
      | hskp24
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp7
      | ! [X2] :
          ( ndr1_0
         => ( ~ c2_1(X2)
            | ~ c1_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp12
      | hskp9
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp4
      | hskp23
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | c3_1(X4) ) ) )
    & ( hskp17
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c1_1(X5)
            | ~ c0_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | ~ c0_1(X6)
            | c3_1(X6) ) ) )
    & ( hskp19
      | hskp4
      | ! [X7] :
          ( ndr1_0
         => ( ~ c1_1(X7)
            | ~ c0_1(X7)
            | c3_1(X7) ) ) )
    & ( hskp22
      | hskp6
      | ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c1_1(X8)
            | c2_1(X8) ) ) )
    & ( hskp3
      | hskp23
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c0_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp13
      | hskp6
      | ! [X10] :
          ( ndr1_0
         => ( ~ c1_1(X10)
            | ~ c0_1(X10)
            | c2_1(X10) ) ) )
    & ( hskp26
      | hskp8
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | ~ c0_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp6
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c2_1(X12)
            | ~ c0_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c1_1(X13)
            | ~ c0_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp15
      | ! [X14] :
          ( ndr1_0
         => ( ~ c2_1(X14)
            | ~ c0_1(X14)
            | c3_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | c3_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp25
      | hskp3
      | ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | c3_1(X16)
            | c2_1(X16) ) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( ~ c2_1(X17)
            | ~ c1_1(X17)
            | c3_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c0_1(X18)
            | c2_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c2_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp15
      | hskp24
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c0_1(X20)
            | c1_1(X20) ) ) )
    & ( hskp23
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c0_1(X21)
            | c1_1(X21) ) ) )
    & ( ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c2_1(X22)
            | ~ c1_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c1_1(X23)
            | ~ c0_1(X23)
            | c2_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c0_1(X24)
            | c1_1(X24) ) ) )
    & ( hskp22
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | c3_1(X25)
            | c2_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c0_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp6
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c2_1(X27)
            | c1_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | ~ c0_1(X28)
            | c1_1(X28) ) ) )
    & ( hskp21
      | hskp29
      | ! [X29] :
          ( ndr1_0
         => ( ~ c0_1(X29)
            | c3_1(X29)
            | c1_1(X29) ) ) )
    & ( hskp10
      | ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | ~ c1_1(X30)
            | c3_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c0_1(X31)
            | c3_1(X31)
            | c1_1(X31) ) ) )
    & ( hskp20
      | ! [X32] :
          ( ndr1_0
         => ( ~ c0_1(X32)
            | c3_1(X32)
            | c2_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c0_1(X33)
            | c3_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp19
      | ! [X34] :
          ( ndr1_0
         => ( ~ c2_1(X34)
            | ~ c0_1(X34)
            | c1_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c0_1(X35)
            | c3_1(X35)
            | c1_1(X35) ) ) )
    & ( hskp18
      | hskp10
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | c2_1(X36)
            | c1_1(X36) ) ) )
    & ( hskp8
      | hskp28
      | ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | c2_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp17
      | ! [X38] :
          ( ndr1_0
         => ( ~ c1_1(X38)
            | ~ c0_1(X38)
            | c3_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( c3_1(X39)
            | c2_1(X39)
            | c1_1(X39) ) ) )
    & ( hskp12
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | ~ c0_1(X40)
            | c2_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( c3_1(X41)
            | c2_1(X41)
            | c1_1(X41) ) ) )
    & ( hskp16
      | ! [X42] :
          ( ndr1_0
         => ( ~ c1_1(X42)
            | c3_1(X42)
            | c2_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c3_1(X43)
            | c2_1(X43)
            | c1_1(X43) ) ) )
    & ( hskp27
      | ! [X44] :
          ( ndr1_0
         => ( ~ c2_1(X44)
            | ~ c0_1(X44)
            | c1_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( c3_1(X45)
            | c2_1(X45)
            | c1_1(X45) ) ) )
    & ( hskp13
      | ! [X46] :
          ( ndr1_0
         => ( ~ c0_1(X46)
            | c3_1(X46)
            | c1_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c3_1(X47)
            | c2_1(X47)
            | c1_1(X47) ) ) )
    & ( hskp9
      | ! [X48] :
          ( ndr1_0
         => ( ~ c1_1(X48)
            | c3_1(X48)
            | c2_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c2_1(X49)
            | c0_1(X49) ) ) )
    & ( hskp15
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | ~ c0_1(X50)
            | c1_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c1_1(X51)
            | c0_1(X51) ) ) )
    & ( ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c2_1(X52)
            | ~ c1_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c2_1(X53)
            | c0_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c1_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp14
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c0_1(X55)
            | c2_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp8
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c2_1(X57)
            | c1_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | ~ c1_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp13
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | c2_1(X59)
            | c1_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | ~ c1_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp1
      | hskp2
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | c3_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp11
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c0_1(X62)
            | c1_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c2_1(X63)
            | c3_1(X63)
            | c0_1(X63) ) ) )
    & ( ! [X64] :
          ( ndr1_0
         => ( ~ c0_1(X64)
            | c3_1(X64)
            | c2_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | ~ c0_1(X65)
            | c1_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c2_1(X66)
            | c3_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp12
      | hskp6
      | ! [X67] :
          ( ndr1_0
         => ( ~ c1_1(X67)
            | c3_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp6
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | ~ c2_1(X68)
            | ~ c0_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c1_1(X69)
            | c3_1(X69)
            | c0_1(X69) ) ) )
    & ( ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | ~ c0_1(X70)
            | c3_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | ~ c0_1(X71)
            | c1_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c1_1(X72)
            | c3_1(X72)
            | c0_1(X72) ) ) )
    & ( hskp7
      | ! [X73] :
          ( ndr1_0
         => ( ~ c2_1(X73)
            | c3_1(X73)
            | c1_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | c3_1(X74)
            | c0_1(X74) ) ) )
    & ( ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | ~ c2_1(X75)
            | ~ c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | c2_1(X76)
            | c1_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c1_1(X77)
            | c3_1(X77)
            | c0_1(X77) ) ) )
    & ( hskp11
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | ~ c1_1(X78)
            | c0_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c1_1(X79)
            | c3_1(X79)
            | c0_1(X79) ) ) )
    & ( hskp7
      | hskp8
      | ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | c2_1(X80)
            | c0_1(X80) ) ) )
    & ( hskp10
      | hskp9
      | ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | c2_1(X81)
            | c0_1(X81) ) ) )
    & ( hskp8
      | ! [X82] :
          ( ndr1_0
         => ( ~ c2_1(X82)
            | c3_1(X82)
            | c1_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | c2_1(X83)
            | c0_1(X83) ) ) )
    & ( hskp4
      | ! [X84] :
          ( ndr1_0
         => ( ~ c0_1(X84)
            | c3_1(X84)
            | c1_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c1_1(X85)
            | c2_1(X85)
            | c0_1(X85) ) ) )
    & ( hskp7
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | c2_1(X86)
            | c1_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c1_1(X87)
            | c2_1(X87)
            | c0_1(X87) ) ) )
    & ( hskp0
      | ! [X88] :
          ( ndr1_0
         => ( ~ c2_1(X88)
            | ~ c1_1(X88)
            | c0_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c1_1(X89)
            | c2_1(X89)
            | c0_1(X89) ) ) )
    & ( ! [X90] :
          ( ndr1_0
         => ( ~ c0_1(X90)
            | c3_1(X90)
            | c2_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c2_1(X91)
            | c3_1(X91)
            | c1_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( c3_1(X92)
            | c2_1(X92)
            | c0_1(X92) ) ) )
    & ( hskp6
      | ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | ~ c2_1(X93)
            | c0_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | c2_1(X94)
            | c0_1(X94) ) ) )
    & ( ! [X95] :
          ( ndr1_0
         => ( c3_1(X95)
            | c2_1(X95)
            | c1_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c1_1(X96)
            | c3_1(X96)
            | c0_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( c3_1(X97)
            | c2_1(X97)
            | c0_1(X97) ) ) )
    & ( hskp5
      | ! [X98] :
          ( ndr1_0
         => ( ~ c2_1(X98)
            | ~ c1_1(X98)
            | ~ c0_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | c1_1(X99)
            | c0_1(X99) ) ) )
    & ( ! [X100] :
          ( ndr1_0
         => ( ~ c2_1(X100)
            | c3_1(X100)
            | c1_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | c2_1(X101)
            | c0_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | c1_1(X102)
            | c0_1(X102) ) ) )
    & ( hskp4
      | ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | ~ c0_1(X103)
            | c2_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( ~ c2_1(X104)
            | c1_1(X104)
            | c0_1(X104) ) ) )
    & ( hskp3
      | ! [X105] :
          ( ndr1_0
         => ( ~ c1_1(X105)
            | c3_1(X105)
            | c2_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c2_1(X106)
            | c1_1(X106)
            | c0_1(X106) ) ) )
    & ( ! [X107] :
          ( ndr1_0
         => ( ~ c1_1(X107)
            | ~ c0_1(X107)
            | c2_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c2_1(X108)
            | ~ c0_1(X108)
            | c1_1(X108) ) )
      | ! [X109] :
          ( ndr1_0
         => ( ~ c2_1(X109)
            | c1_1(X109)
            | c0_1(X109) ) ) )
    & ( hskp2
      | ! [X110] :
          ( ndr1_0
         => ( c3_1(X110)
            | c2_1(X110)
            | c1_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( c3_1(X111)
            | c1_1(X111)
            | c0_1(X111) ) ) )
    & ( hskp1
      | hskp0
      | ! [X112] :
          ( ndr1_0
         => ( c2_1(X112)
            | c1_1(X112)
            | c0_1(X112) ) ) )
    & ( ! [X113] :
          ( ndr1_0
         => ( ~ c3_1(X113)
            | c2_1(X113)
            | c0_1(X113) ) )
      | ! [X114] :
          ( ndr1_0
         => ( ~ c2_1(X114)
            | c1_1(X114)
            | c0_1(X114) ) )
      | ! [X115] :
          ( ndr1_0
         => ( c2_1(X115)
            | c1_1(X115)
            | c0_1(X115) ) ) )
    & ( ( c3_1(a1040)
        & c1_1(a1040)
        & c0_1(a1040)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a1033)
        & c1_1(a1033)
        & c0_1(a1033)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a1029)
        & c2_1(a1029)
        & c0_1(a1029)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a1052)
        & ~ c0_1(a1052)
        & c3_1(a1052)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a1048)
        & ~ c0_1(a1048)
        & c1_1(a1048)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a1045)
        & c3_1(a1045)
        & c1_1(a1045)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a1044)
        & c1_1(a1044)
        & c0_1(a1044)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a1043)
        & ~ c1_1(a1043)
        & c0_1(a1043)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a1041)
        & ~ c0_1(a1041)
        & c2_1(a1041)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a1038)
        & ~ c1_1(a1038)
        & ~ c0_1(a1038)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a1037)
        & ~ c1_1(a1037)
        & ~ c0_1(a1037)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a1036)
        & c3_1(a1036)
        & c1_1(a1036)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a1032)
        & c3_1(a1032)
        & c2_1(a1032)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a1030)
        & ~ c2_1(a1030)
        & c1_1(a1030)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a1026)
        & ~ c0_1(a1026)
        & c2_1(a1026)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a1025)
        & ~ c2_1(a1025)
        & c0_1(a1025)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a1023)
        & ~ c1_1(a1023)
        & c3_1(a1023)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a1019)
        & c2_1(a1019)
        & c1_1(a1019)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a1015)
        & ~ c0_1(a1015)
        & c3_1(a1015)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a1012)
        & ~ c1_1(a1012)
        & c0_1(a1012)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a1011)
        & c1_1(a1011)
        & c0_1(a1011)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a1010)
        & c3_1(a1010)
        & c0_1(a1010)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a1008)
        & ~ c1_1(a1008)
        & c2_1(a1008)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a1006)
        & c3_1(a1006)
        & c0_1(a1006)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a1005)
        & ~ c2_1(a1005)
        & ~ c1_1(a1005)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a1004)
        & c2_1(a1004)
        & c1_1(a1004)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a1003)
        & ~ c0_1(a1003)
        & c1_1(a1003)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a1002)
        & c2_1(a1002)
        & c0_1(a1002)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a1001)
        & c3_1(a1001)
        & c2_1(a1001)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a1000)
        & c2_1(a1000)
        & c0_1(a1000)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp19
          | hskp25
          | hskp24 )
        & ( hskp7
          | hskp21
          | hskp4 )
        & ( hskp12
          | hskp14
          | hskp22 )
        & ( hskp26
          | hskp7
          | hskp27 )
        & ( hskp14
          | hskp6
          | hskp27 )
        & ( hskp20
          | hskp18
          | hskp23 )
        & ( hskp26
          | hskp3
          | hskp29 )
        & ( hskp5
          | hskp12
          | hskp29 )
        & ( hskp13
          | hskp23
          | hskp29 )
        & ( hskp19
          | hskp26
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c0_1(X0) ) ) )
        & ( hskp3
          | hskp24
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp7
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp12
          | hskp9
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp4
          | hskp23
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | c3_1(X4) ) ) )
        & ( hskp17
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c1_1(X5)
                | ~ c0_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c0_1(X6)
                | c3_1(X6) ) ) )
        & ( hskp19
          | hskp4
          | ! [X7] :
              ( ndr1_0
             => ( ~ c1_1(X7)
                | ~ c0_1(X7)
                | c3_1(X7) ) ) )
        & ( hskp22
          | hskp6
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c1_1(X8)
                | c2_1(X8) ) ) )
        & ( hskp3
          | hskp23
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c0_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp13
          | hskp6
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | ~ c0_1(X10)
                | c2_1(X10) ) ) )
        & ( hskp26
          | hskp8
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp6
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c2_1(X12)
                | ~ c0_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | ~ c0_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp15
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c0_1(X14)
                | c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | c3_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp25
          | hskp3
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | ~ c1_1(X17)
                | c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c0_1(X18)
                | c2_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c2_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp15
          | hskp24
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c0_1(X20)
                | c1_1(X20) ) ) )
        & ( hskp23
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c0_1(X21)
                | c1_1(X21) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | ~ c1_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | ~ c0_1(X23)
                | c2_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c0_1(X24)
                | c1_1(X24) ) ) )
        & ( hskp22
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c3_1(X25)
                | c2_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c0_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp6
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c2_1(X27)
                | c1_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | ~ c0_1(X28)
                | c1_1(X28) ) ) )
        & ( hskp21
          | hskp29
          | ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | c3_1(X29)
                | c1_1(X29) ) ) )
        & ( hskp10
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | ~ c1_1(X30)
                | c3_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c3_1(X31)
                | c1_1(X31) ) ) )
        & ( hskp20
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | c3_1(X32)
                | c2_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp19
          | ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | ~ c0_1(X34)
                | c1_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | c3_1(X35)
                | c1_1(X35) ) ) )
        & ( hskp18
          | hskp10
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | c1_1(X36) ) ) )
        & ( hskp8
          | hskp28
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp17
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | ~ c0_1(X38)
                | c3_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c3_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) ) )
        & ( hskp12
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c0_1(X40)
                | c2_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | c2_1(X41)
                | c1_1(X41) ) ) )
        & ( hskp16
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | c3_1(X42)
                | c2_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | c2_1(X43)
                | c1_1(X43) ) ) )
        & ( hskp27
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | ~ c0_1(X44)
                | c1_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c3_1(X45)
                | c2_1(X45)
                | c1_1(X45) ) ) )
        & ( hskp13
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c3_1(X46)
                | c1_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c3_1(X47)
                | c2_1(X47)
                | c1_1(X47) ) ) )
        & ( hskp9
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | c3_1(X48)
                | c2_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c2_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp15
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c0_1(X50)
                | c1_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c2_1(X52)
                | ~ c1_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c2_1(X53)
                | c0_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp14
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c0_1(X55)
                | c2_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp8
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c2_1(X57)
                | c1_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp13
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp1
          | hskp2
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | c3_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp11
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c0_1(X62)
                | c1_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | c3_1(X63)
                | c0_1(X63) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | c3_1(X64)
                | c2_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c0_1(X65)
                | c1_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | c3_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp12
          | hskp6
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | c3_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp6
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c2_1(X68)
                | ~ c0_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | c3_1(X69)
                | c0_1(X69) ) ) )
        & ( ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c0_1(X70)
                | c3_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c0_1(X71)
                | c1_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | c3_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp7
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | c3_1(X73)
                | c1_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | c3_1(X74)
                | c0_1(X74) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c2_1(X75)
                | ~ c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | c3_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp11
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c1_1(X78)
                | c0_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c1_1(X79)
                | c3_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp7
          | hskp8
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | c2_1(X80)
                | c0_1(X80) ) ) )
        & ( hskp10
          | hskp9
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | c2_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp8
          | ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | c3_1(X82)
                | c1_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | c2_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp4
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | c3_1(X84)
                | c1_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | c2_1(X85)
                | c0_1(X85) ) ) )
        & ( hskp7
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | c2_1(X86)
                | c1_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c1_1(X87)
                | c2_1(X87)
                | c0_1(X87) ) ) )
        & ( hskp0
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c1_1(X88)
                | c0_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | c2_1(X89)
                | c0_1(X89) ) ) )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | c3_1(X90)
                | c2_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | c3_1(X91)
                | c1_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( c3_1(X92)
                | c2_1(X92)
                | c0_1(X92) ) ) )
        & ( hskp6
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c2_1(X93)
                | c0_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | c2_1(X94)
                | c0_1(X94) ) ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( c3_1(X95)
                | c2_1(X95)
                | c1_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c1_1(X96)
                | c3_1(X96)
                | c0_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( c3_1(X97)
                | c2_1(X97)
                | c0_1(X97) ) ) )
        & ( hskp5
          | ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | ~ c1_1(X98)
                | ~ c0_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | c1_1(X99)
                | c0_1(X99) ) ) )
        & ( ! [X100] :
              ( ndr1_0
             => ( ~ c2_1(X100)
                | c3_1(X100)
                | c1_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | c2_1(X101)
                | c0_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | c1_1(X102)
                | c0_1(X102) ) ) )
        & ( hskp4
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c0_1(X103)
                | c2_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | c1_1(X104)
                | c0_1(X104) ) ) )
        & ( hskp3
          | ! [X105] :
              ( ndr1_0
             => ( ~ c1_1(X105)
                | c3_1(X105)
                | c2_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | c1_1(X106)
                | c0_1(X106) ) ) )
        & ( ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | ~ c0_1(X107)
                | c2_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | ~ c0_1(X108)
                | c1_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | c1_1(X109)
                | c0_1(X109) ) ) )
        & ( hskp2
          | ! [X110] :
              ( ndr1_0
             => ( c3_1(X110)
                | c2_1(X110)
                | c1_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( c3_1(X111)
                | c1_1(X111)
                | c0_1(X111) ) ) )
        & ( hskp1
          | hskp0
          | ! [X112] :
              ( ndr1_0
             => ( c2_1(X112)
                | c1_1(X112)
                | c0_1(X112) ) ) )
        & ( ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | c2_1(X113)
                | c0_1(X113) ) )
          | ! [X114] :
              ( ndr1_0
             => ( ~ c2_1(X114)
                | c1_1(X114)
                | c0_1(X114) ) )
          | ! [X115] :
              ( ndr1_0
             => ( c2_1(X115)
                | c1_1(X115)
                | c0_1(X115) ) ) )
        & ( ( c3_1(a1040)
            & c1_1(a1040)
            & c0_1(a1040)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a1033)
            & c1_1(a1033)
            & c0_1(a1033)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a1029)
            & c2_1(a1029)
            & c0_1(a1029)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a1052)
            & ~ c0_1(a1052)
            & c3_1(a1052)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a1048)
            & ~ c0_1(a1048)
            & c1_1(a1048)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c0_1(a1045)
            & c3_1(a1045)
            & c1_1(a1045)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a1044)
            & c1_1(a1044)
            & c0_1(a1044)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a1043)
            & ~ c1_1(a1043)
            & c0_1(a1043)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a1041)
            & ~ c0_1(a1041)
            & c2_1(a1041)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a1038)
            & ~ c1_1(a1038)
            & ~ c0_1(a1038)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a1037)
            & ~ c1_1(a1037)
            & ~ c0_1(a1037)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a1036)
            & c3_1(a1036)
            & c1_1(a1036)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c0_1(a1032)
            & c3_1(a1032)
            & c2_1(a1032)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a1030)
            & ~ c2_1(a1030)
            & c1_1(a1030)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c1_1(a1026)
            & ~ c0_1(a1026)
            & c2_1(a1026)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a1025)
            & ~ c2_1(a1025)
            & c0_1(a1025)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a1023)
            & ~ c1_1(a1023)
            & c3_1(a1023)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c0_1(a1019)
            & c2_1(a1019)
            & c1_1(a1019)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a1015)
            & ~ c0_1(a1015)
            & c3_1(a1015)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a1012)
            & ~ c1_1(a1012)
            & c0_1(a1012)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a1011)
            & c1_1(a1011)
            & c0_1(a1011)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a1010)
            & c3_1(a1010)
            & c0_1(a1010)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a1008)
            & ~ c1_1(a1008)
            & c2_1(a1008)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a1006)
            & c3_1(a1006)
            & c0_1(a1006)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a1005)
            & ~ c2_1(a1005)
            & ~ c1_1(a1005)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a1004)
            & c2_1(a1004)
            & c1_1(a1004)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a1003)
            & ~ c0_1(a1003)
            & c1_1(a1003)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a1002)
            & c2_1(a1002)
            & c0_1(a1002)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a1001)
            & c3_1(a1001)
            & c2_1(a1001)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a1000)
            & c2_1(a1000)
            & c0_1(a1000)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp19
          | hskp25
          | hskp24 )
        & ( hskp7
          | hskp21
          | hskp4 )
        & ( hskp12
          | hskp14
          | hskp22 )
        & ( hskp26
          | hskp7
          | hskp27 )
        & ( hskp14
          | hskp6
          | hskp27 )
        & ( hskp20
          | hskp18
          | hskp23 )
        & ( hskp26
          | hskp3
          | hskp29 )
        & ( hskp5
          | hskp12
          | hskp29 )
        & ( hskp13
          | hskp23
          | hskp29 )
        & ( hskp19
          | hskp26
          | ! [X115] :
              ( ndr1_0
             => ( ~ c3_1(X115)
                | ~ c2_1(X115)
                | ~ c0_1(X115) ) ) )
        & ( hskp3
          | hskp24
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c2_1(X114)
                | ~ c0_1(X114) ) ) )
        & ( hskp7
          | ! [X113] :
              ( ndr1_0
             => ( ~ c2_1(X113)
                | ~ c1_1(X113)
                | ~ c0_1(X113) ) ) )
        & ( hskp12
          | hskp9
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c1_1(X112)
                | ~ c0_1(X112) ) ) )
        & ( hskp4
          | hskp23
          | ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | ~ c1_1(X111)
                | c3_1(X111) ) ) )
        & ( hskp17
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c1_1(X110)
                | ~ c0_1(X110) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c0_1(X109)
                | c3_1(X109) ) ) )
        & ( hskp19
          | hskp4
          | ! [X108] :
              ( ndr1_0
             => ( ~ c1_1(X108)
                | ~ c0_1(X108)
                | c3_1(X108) ) ) )
        & ( hskp22
          | hskp6
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c1_1(X107)
                | c2_1(X107) ) ) )
        & ( hskp3
          | hskp23
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c0_1(X106)
                | c2_1(X106) ) ) )
        & ( hskp13
          | hskp6
          | ! [X105] :
              ( ndr1_0
             => ( ~ c1_1(X105)
                | ~ c0_1(X105)
                | c2_1(X105) ) ) )
        & ( hskp26
          | hskp8
          | ! [X104] :
              ( ndr1_0
             => ( ~ c1_1(X104)
                | ~ c0_1(X104)
                | c2_1(X104) ) ) )
        & ( hskp6
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c2_1(X103)
                | ~ c0_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c1_1(X102)
                | ~ c0_1(X102)
                | c2_1(X102) ) ) )
        & ( hskp15
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c0_1(X101)
                | c3_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | c3_1(X100)
                | c2_1(X100) ) ) )
        & ( hskp25
          | hskp3
          | ! [X99] :
              ( ndr1_0
             => ( ~ c0_1(X99)
                | c3_1(X99)
                | c2_1(X99) ) ) )
        & ( ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | ~ c1_1(X98)
                | c3_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c0_1(X97)
                | c2_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c2_1(X96)
                | c1_1(X96) ) ) )
        & ( hskp15
          | hskp24
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c0_1(X95)
                | c1_1(X95) ) ) )
        & ( hskp23
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c0_1(X94)
                | c1_1(X94) ) ) )
        & ( ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c2_1(X93)
                | ~ c1_1(X93) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | ~ c0_1(X92)
                | c2_1(X92) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c0_1(X91)
                | c1_1(X91) ) ) )
        & ( hskp22
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | c3_1(X90)
                | c2_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c0_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp6
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c2_1(X88)
                | c1_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c0_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp21
          | hskp29
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | c3_1(X86)
                | c1_1(X86) ) ) )
        & ( hskp10
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | ~ c1_1(X85)
                | c3_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | c3_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp20
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | c3_1(X83)
                | c2_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | c3_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp19
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | ~ c0_1(X81)
                | c1_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | c3_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp18
          | hskp10
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | c2_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp8
          | hskp28
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp17
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | ~ c0_1(X77)
                | c3_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c3_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp12
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c0_1(X75)
                | c2_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c3_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp16
          | ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | c3_1(X73)
                | c2_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c3_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp27
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | ~ c0_1(X71)
                | c1_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp13
          | ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | c3_1(X69)
                | c1_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp9
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | c3_1(X67)
                | c2_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp15
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_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)
                | ~ c2_1(X63)
                | ~ c1_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | c0_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp14
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c0_1(X60)
                | c2_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp8
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp13
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | c2_1(X56)
                | c1_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c1_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp1
          | hskp2
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | c3_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp11
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c0_1(X53)
                | c1_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | c3_1(X52)
                | c0_1(X52) ) ) )
        & ( ! [X51] :
              ( ndr1_0
             => ( ~ c0_1(X51)
                | c3_1(X51)
                | c2_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c0_1(X50)
                | c1_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | c3_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp12
          | hskp6
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp6
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c2_1(X47)
                | ~ c0_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | c3_1(X46)
                | c0_1(X46) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c0_1(X45)
                | c3_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c0_1(X44)
                | c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c3_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp7
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | c3_1(X42)
                | c1_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | c3_1(X41)
                | c0_1(X41) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c2_1(X40)
                | ~ c1_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c3_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp11
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | ~ c1_1(X37)
                | c0_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c3_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp7
          | hskp8
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp10
          | hskp9
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp8
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp4
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c3_1(X31)
                | c1_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp7
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | c2_1(X29)
                | c1_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp0
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | ~ c1_1(X27)
                | c0_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( ~ c0_1(X25)
                | c3_1(X25)
                | c2_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | c3_1(X24)
                | c1_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | c2_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp6
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | c0_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c3_1(X21)
                | c2_1(X21)
                | c0_1(X21) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | c2_1(X20)
                | c1_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c3_1(X19)
                | c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | c2_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp5
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | ~ c1_1(X17)
                | ~ c0_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | c3_1(X15)
                | c1_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | c2_1(X14)
                | c0_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp4
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c0_1(X12)
                | c2_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp3
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | c3_1(X10)
                | c2_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | ~ c0_1(X8)
                | c2_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c0_1(X7)
                | c1_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp2
          | ! [X5] :
              ( ndr1_0
             => ( c3_1(X5)
                | c2_1(X5)
                | c1_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp1
          | hskp0
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | c2_1(X2)
                | c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a1040)
            & c1_1(a1040)
            & c0_1(a1040)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a1033)
            & c1_1(a1033)
            & c0_1(a1033)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a1029)
            & c2_1(a1029)
            & c0_1(a1029)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a1052)
            & ~ c0_1(a1052)
            & c3_1(a1052)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a1048)
            & ~ c0_1(a1048)
            & c1_1(a1048)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c0_1(a1045)
            & c3_1(a1045)
            & c1_1(a1045)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a1044)
            & c1_1(a1044)
            & c0_1(a1044)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a1043)
            & ~ c1_1(a1043)
            & c0_1(a1043)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a1041)
            & ~ c0_1(a1041)
            & c2_1(a1041)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a1038)
            & ~ c1_1(a1038)
            & ~ c0_1(a1038)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a1037)
            & ~ c1_1(a1037)
            & ~ c0_1(a1037)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a1036)
            & c3_1(a1036)
            & c1_1(a1036)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c0_1(a1032)
            & c3_1(a1032)
            & c2_1(a1032)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a1030)
            & ~ c2_1(a1030)
            & c1_1(a1030)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c1_1(a1026)
            & ~ c0_1(a1026)
            & c2_1(a1026)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a1025)
            & ~ c2_1(a1025)
            & c0_1(a1025)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a1023)
            & ~ c1_1(a1023)
            & c3_1(a1023)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c0_1(a1019)
            & c2_1(a1019)
            & c1_1(a1019)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a1015)
            & ~ c0_1(a1015)
            & c3_1(a1015)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a1012)
            & ~ c1_1(a1012)
            & c0_1(a1012)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a1011)
            & c1_1(a1011)
            & c0_1(a1011)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a1010)
            & c3_1(a1010)
            & c0_1(a1010)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a1008)
            & ~ c1_1(a1008)
            & c2_1(a1008)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a1006)
            & c3_1(a1006)
            & c0_1(a1006)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a1005)
            & ~ c2_1(a1005)
            & ~ c1_1(a1005)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a1004)
            & c2_1(a1004)
            & c1_1(a1004)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a1003)
            & ~ c0_1(a1003)
            & c1_1(a1003)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a1002)
            & c2_1(a1002)
            & c0_1(a1002)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a1001)
            & c3_1(a1001)
            & c2_1(a1001)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a1000)
            & c2_1(a1000)
            & c0_1(a1000)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp19
        | hskp25
        | hskp24 )
      & ( hskp7
        | hskp21
        | hskp4 )
      & ( hskp12
        | hskp14
        | hskp22 )
      & ( hskp26
        | hskp7
        | hskp27 )
      & ( hskp14
        | hskp6
        | hskp27 )
      & ( hskp20
        | hskp18
        | hskp23 )
      & ( hskp26
        | hskp3
        | hskp29 )
      & ( hskp5
        | hskp12
        | hskp29 )
      & ( hskp13
        | hskp23
        | hskp29 )
      & ( hskp19
        | hskp26
        | ! [X115] :
            ( ndr1_0
           => ( ~ c3_1(X115)
              | ~ c2_1(X115)
              | ~ c0_1(X115) ) ) )
      & ( hskp3
        | hskp24
        | ! [X114] :
            ( ndr1_0
           => ( ~ c3_1(X114)
              | ~ c2_1(X114)
              | ~ c0_1(X114) ) ) )
      & ( hskp7
        | ! [X113] :
            ( ndr1_0
           => ( ~ c2_1(X113)
              | ~ c1_1(X113)
              | ~ c0_1(X113) ) ) )
      & ( hskp12
        | hskp9
        | ! [X112] :
            ( ndr1_0
           => ( ~ c2_1(X112)
              | ~ c1_1(X112)
              | ~ c0_1(X112) ) ) )
      & ( hskp4
        | hskp23
        | ! [X111] :
            ( ndr1_0
           => ( ~ c2_1(X111)
              | ~ c1_1(X111)
              | c3_1(X111) ) ) )
      & ( hskp17
        | ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | ~ c1_1(X110)
              | ~ c0_1(X110) ) )
        | ! [X109] :
            ( ndr1_0
           => ( ~ c2_1(X109)
              | ~ c0_1(X109)
              | c3_1(X109) ) ) )
      & ( hskp19
        | hskp4
        | ! [X108] :
            ( ndr1_0
           => ( ~ c1_1(X108)
              | ~ c0_1(X108)
              | c3_1(X108) ) ) )
      & ( hskp22
        | hskp6
        | ! [X107] :
            ( ndr1_0
           => ( ~ c3_1(X107)
              | ~ c1_1(X107)
              | c2_1(X107) ) ) )
      & ( hskp3
        | hskp23
        | ! [X106] :
            ( ndr1_0
           => ( ~ c3_1(X106)
              | ~ c0_1(X106)
              | c2_1(X106) ) ) )
      & ( hskp13
        | hskp6
        | ! [X105] :
            ( ndr1_0
           => ( ~ c1_1(X105)
              | ~ c0_1(X105)
              | c2_1(X105) ) ) )
      & ( hskp26
        | hskp8
        | ! [X104] :
            ( ndr1_0
           => ( ~ c1_1(X104)
              | ~ c0_1(X104)
              | c2_1(X104) ) ) )
      & ( hskp6
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c2_1(X103)
              | ~ c0_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c1_1(X102)
              | ~ c0_1(X102)
              | c2_1(X102) ) ) )
      & ( hskp15
        | ! [X101] :
            ( ndr1_0
           => ( ~ c2_1(X101)
              | ~ c0_1(X101)
              | c3_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | c3_1(X100)
              | c2_1(X100) ) ) )
      & ( hskp25
        | hskp3
        | ! [X99] :
            ( ndr1_0
           => ( ~ c0_1(X99)
              | c3_1(X99)
              | c2_1(X99) ) ) )
      & ( ! [X98] :
            ( ndr1_0
           => ( ~ c2_1(X98)
              | ~ c1_1(X98)
              | c3_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c0_1(X97)
              | c2_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c2_1(X96)
              | c1_1(X96) ) ) )
      & ( hskp15
        | hskp24
        | ! [X95] :
            ( ndr1_0
           => ( ~ c3_1(X95)
              | ~ c0_1(X95)
              | c1_1(X95) ) ) )
      & ( hskp23
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c0_1(X94)
              | c1_1(X94) ) ) )
      & ( ! [X93] :
            ( ndr1_0
           => ( ~ c3_1(X93)
              | ~ c2_1(X93)
              | ~ c1_1(X93) ) )
        | ! [X92] :
            ( ndr1_0
           => ( ~ c1_1(X92)
              | ~ c0_1(X92)
              | c2_1(X92) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c0_1(X91)
              | c1_1(X91) ) ) )
      & ( hskp22
        | ! [X90] :
            ( ndr1_0
           => ( ~ c1_1(X90)
              | c3_1(X90)
              | c2_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c3_1(X89)
              | ~ c0_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp6
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c2_1(X88)
              | c1_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | ~ c0_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp21
        | hskp29
        | ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | c3_1(X86)
              | c1_1(X86) ) ) )
      & ( hskp10
        | ! [X85] :
            ( ndr1_0
           => ( ~ c2_1(X85)
              | ~ c1_1(X85)
              | c3_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c0_1(X84)
              | c3_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp20
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | c3_1(X83)
              | c2_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c0_1(X82)
              | c3_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp19
        | ! [X81] :
            ( ndr1_0
           => ( ~ c2_1(X81)
              | ~ c0_1(X81)
              | c1_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c0_1(X80)
              | c3_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp18
        | hskp10
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | c2_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp8
        | hskp28
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | c2_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp17
        | ! [X77] :
            ( ndr1_0
           => ( ~ c1_1(X77)
              | ~ c0_1(X77)
              | c3_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( c3_1(X76)
              | c2_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp12
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c0_1(X75)
              | c2_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c3_1(X74)
              | c2_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp16
        | ! [X73] :
            ( ndr1_0
           => ( ~ c1_1(X73)
              | c3_1(X73)
              | c2_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c3_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp27
        | ! [X71] :
            ( ndr1_0
           => ( ~ c2_1(X71)
              | ~ c0_1(X71)
              | c1_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp13
        | ! [X69] :
            ( ndr1_0
           => ( ~ c0_1(X69)
              | c3_1(X69)
              | c1_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c3_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp9
        | ! [X67] :
            ( ndr1_0
           => ( ~ c1_1(X67)
              | c3_1(X67)
              | c2_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c2_1(X66)
              | c0_1(X66) ) ) )
      & ( hskp15
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_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)
              | ~ c2_1(X63)
              | ~ c1_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c2_1(X62)
              | c0_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c1_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp14
        | ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | ~ c0_1(X60)
              | c2_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c2_1(X59)
              | ~ c1_1(X59)
              | c0_1(X59) ) ) )
      & ( hskp8
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c2_1(X58)
              | c1_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | ~ c1_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp13
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | c2_1(X56)
              | c1_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | ~ c1_1(X55)
              | c0_1(X55) ) ) )
      & ( hskp1
        | hskp2
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | c3_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp11
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | ~ c0_1(X53)
              | c1_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c2_1(X52)
              | c3_1(X52)
              | c0_1(X52) ) ) )
      & ( ! [X51] :
            ( ndr1_0
           => ( ~ c0_1(X51)
              | c3_1(X51)
              | c2_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | ~ c0_1(X50)
              | c1_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | c3_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp12
        | hskp6
        | ! [X48] :
            ( ndr1_0
           => ( ~ c1_1(X48)
              | c3_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp6
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | ~ c2_1(X47)
              | ~ c0_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c1_1(X46)
              | c3_1(X46)
              | c0_1(X46) ) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | ~ c0_1(X45)
              | c3_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | ~ c0_1(X44)
              | c1_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c3_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp7
        | ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | c3_1(X42)
              | c1_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | c3_1(X41)
              | c0_1(X41) ) ) )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | ~ c2_1(X40)
              | ~ c1_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | c2_1(X39)
              | c1_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | c3_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp11
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | ~ c1_1(X37)
              | c0_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c3_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp7
        | hskp8
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp10
        | hskp9
        | ! [X34] :
            ( ndr1_0
           => ( ~ c1_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp8
        | ! [X33] :
            ( ndr1_0
           => ( ~ c2_1(X33)
              | c3_1(X33)
              | c1_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp4
        | ! [X31] :
            ( ndr1_0
           => ( ~ c0_1(X31)
              | c3_1(X31)
              | c1_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp7
        | ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | c2_1(X29)
              | c1_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp0
        | ! [X27] :
            ( ndr1_0
           => ( ~ c2_1(X27)
              | ~ c1_1(X27)
              | c0_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c1_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) ) )
      & ( ! [X25] :
            ( ndr1_0
           => ( ~ c0_1(X25)
              | c3_1(X25)
              | c2_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c2_1(X24)
              | c3_1(X24)
              | c1_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c3_1(X23)
              | c2_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp6
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | ~ c2_1(X22)
              | c0_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c3_1(X21)
              | c2_1(X21)
              | c0_1(X21) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( c3_1(X20)
              | c2_1(X20)
              | c1_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c1_1(X19)
              | c3_1(X19)
              | c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c3_1(X18)
              | c2_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp5
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | ~ c1_1(X17)
              | ~ c0_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( ! [X15] :
            ( ndr1_0
           => ( ~ c2_1(X15)
              | c3_1(X15)
              | c1_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c3_1(X14)
              | c2_1(X14)
              | c0_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( hskp4
        | ! [X12] :
            ( ndr1_0
           => ( ~ c3_1(X12)
              | ~ c0_1(X12)
              | c2_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c2_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp3
        | ! [X10] :
            ( ndr1_0
           => ( ~ c1_1(X10)
              | c3_1(X10)
              | c2_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( ! [X8] :
            ( ndr1_0
           => ( ~ c1_1(X8)
              | ~ c0_1(X8)
              | c2_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c2_1(X7)
              | ~ c0_1(X7)
              | c1_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( ~ c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp2
        | ! [X5] :
            ( ndr1_0
           => ( c3_1(X5)
              | c2_1(X5)
              | c1_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp1
        | hskp0
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c3_1(X2)
              | c2_1(X2)
              | c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a1040)
          & c1_1(a1040)
          & c0_1(a1040)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c2_1(a1033)
          & c1_1(a1033)
          & c0_1(a1033)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a1029)
          & c2_1(a1029)
          & c0_1(a1029)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c2_1(a1052)
          & ~ c0_1(a1052)
          & c3_1(a1052)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a1048)
          & ~ c0_1(a1048)
          & c1_1(a1048)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c0_1(a1045)
          & c3_1(a1045)
          & c1_1(a1045)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a1044)
          & c1_1(a1044)
          & c0_1(a1044)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c2_1(a1043)
          & ~ c1_1(a1043)
          & c0_1(a1043)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a1041)
          & ~ c0_1(a1041)
          & c2_1(a1041)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a1038)
          & ~ c1_1(a1038)
          & ~ c0_1(a1038)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a1037)
          & ~ c1_1(a1037)
          & ~ c0_1(a1037)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a1036)
          & c3_1(a1036)
          & c1_1(a1036)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c0_1(a1032)
          & c3_1(a1032)
          & c2_1(a1032)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a1030)
          & ~ c2_1(a1030)
          & c1_1(a1030)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c1_1(a1026)
          & ~ c0_1(a1026)
          & c2_1(a1026)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c3_1(a1025)
          & ~ c2_1(a1025)
          & c0_1(a1025)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c2_1(a1023)
          & ~ c1_1(a1023)
          & c3_1(a1023)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c0_1(a1019)
          & c2_1(a1019)
          & c1_1(a1019)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c1_1(a1015)
          & ~ c0_1(a1015)
          & c3_1(a1015)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a1012)
          & ~ c1_1(a1012)
          & c0_1(a1012)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c2_1(a1011)
          & c1_1(a1011)
          & c0_1(a1011)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c1_1(a1010)
          & c3_1(a1010)
          & c0_1(a1010)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a1008)
          & ~ c1_1(a1008)
          & c2_1(a1008)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a1006)
          & c3_1(a1006)
          & c0_1(a1006)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a1005)
          & ~ c2_1(a1005)
          & ~ c1_1(a1005)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a1004)
          & c2_1(a1004)
          & c1_1(a1004)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a1003)
          & ~ c0_1(a1003)
          & c1_1(a1003)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c1_1(a1002)
          & c2_1(a1002)
          & c0_1(a1002)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c1_1(a1001)
          & c3_1(a1001)
          & c2_1(a1001)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a1000)
          & c2_1(a1000)
          & c0_1(a1000)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f984,plain,
    ( ~ spl0_50
    | spl0_147 ),
    inference(avatar_split_clause,[],[f13,f981,f463]) ).

fof(f13,plain,
    ( c3_1(a1001)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f979,plain,
    ( ~ spl0_50
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f14,f976,f463]) ).

fof(f14,plain,
    ( ~ c1_1(a1001)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f973,plain,
    ( ~ spl0_49
    | spl0_145 ),
    inference(avatar_split_clause,[],[f16,f970,f459]) ).

fof(f459,plain,
    ( spl0_49
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f16,plain,
    ( c0_1(a1002)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f968,plain,
    ( ~ spl0_49
    | spl0_144 ),
    inference(avatar_split_clause,[],[f17,f965,f459]) ).

fof(f17,plain,
    ( c2_1(a1002)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f963,plain,
    ( ~ spl0_49
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f18,f960,f459]) ).

fof(f18,plain,
    ( ~ c1_1(a1002)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f958,plain,
    ( ~ spl0_17
    | spl0_20 ),
    inference(avatar_split_clause,[],[f19,f327,f312]) ).

fof(f312,plain,
    ( spl0_17
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f327,plain,
    ( spl0_20
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

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

fof(f957,plain,
    ( ~ spl0_17
    | spl0_142 ),
    inference(avatar_split_clause,[],[f20,f954,f312]) ).

fof(f20,plain,
    ( c1_1(a1003)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f952,plain,
    ( ~ spl0_17
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f21,f949,f312]) ).

fof(f21,plain,
    ( ~ c0_1(a1003)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f947,plain,
    ( ~ spl0_17
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f22,f944,f312]) ).

fof(f22,plain,
    ( ~ c2_1(a1003)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f941,plain,
    ( ~ spl0_4
    | spl0_139 ),
    inference(avatar_split_clause,[],[f24,f938,f255]) ).

fof(f255,plain,
    ( spl0_4
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f24,plain,
    ( c1_1(a1004)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f936,plain,
    ( ~ spl0_4
    | spl0_138 ),
    inference(avatar_split_clause,[],[f25,f933,f255]) ).

fof(f25,plain,
    ( c2_1(a1004)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f931,plain,
    ( ~ spl0_4
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f26,f928,f255]) ).

fof(f26,plain,
    ( ~ c3_1(a1004)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f925,plain,
    ( ~ spl0_18
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f28,f922,f317]) ).

fof(f317,plain,
    ( spl0_18
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f28,plain,
    ( ~ c1_1(a1005)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f920,plain,
    ( ~ spl0_18
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f29,f917,f317]) ).

fof(f29,plain,
    ( ~ c2_1(a1005)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f915,plain,
    ( ~ spl0_18
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f30,f912,f317]) ).

fof(f30,plain,
    ( ~ c3_1(a1005)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f909,plain,
    ( ~ spl0_12
    | spl0_133 ),
    inference(avatar_split_clause,[],[f32,f906,f290]) ).

fof(f290,plain,
    ( spl0_12
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f32,plain,
    ( c0_1(a1006)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f904,plain,
    ( ~ spl0_12
    | spl0_132 ),
    inference(avatar_split_clause,[],[f33,f901,f290]) ).

fof(f33,plain,
    ( c3_1(a1006)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f899,plain,
    ( ~ spl0_12
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f34,f896,f290]) ).

fof(f34,plain,
    ( ~ c2_1(a1006)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f893,plain,
    ( ~ spl0_6
    | spl0_130 ),
    inference(avatar_split_clause,[],[f36,f890,f263]) ).

fof(f263,plain,
    ( spl0_6
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f36,plain,
    ( c2_1(a1008)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f888,plain,
    ( ~ spl0_6
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f37,f885,f263]) ).

fof(f37,plain,
    ( ~ c1_1(a1008)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f883,plain,
    ( ~ spl0_6
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f38,f880,f263]) ).

fof(f38,plain,
    ( ~ c3_1(a1008)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f877,plain,
    ( ~ spl0_31
    | spl0_127 ),
    inference(avatar_split_clause,[],[f40,f874,f373]) ).

fof(f373,plain,
    ( spl0_31
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f40,plain,
    ( c0_1(a1010)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f872,plain,
    ( ~ spl0_31
    | spl0_126 ),
    inference(avatar_split_clause,[],[f41,f869,f373]) ).

fof(f41,plain,
    ( c3_1(a1010)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f867,plain,
    ( ~ spl0_31
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f42,f864,f373]) ).

fof(f42,plain,
    ( ~ c1_1(a1010)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f861,plain,
    ( ~ spl0_23
    | spl0_124 ),
    inference(avatar_split_clause,[],[f44,f858,f340]) ).

fof(f340,plain,
    ( spl0_23
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f44,plain,
    ( c0_1(a1011)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f856,plain,
    ( ~ spl0_23
    | spl0_123 ),
    inference(avatar_split_clause,[],[f45,f853,f340]) ).

fof(f45,plain,
    ( c1_1(a1011)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f851,plain,
    ( ~ spl0_23
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f46,f848,f340]) ).

fof(f46,plain,
    ( ~ c2_1(a1011)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f829,plain,
    ( ~ spl0_51
    | spl0_118 ),
    inference(avatar_split_clause,[],[f52,f826,f468]) ).

fof(f468,plain,
    ( spl0_51
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f52,plain,
    ( c3_1(a1015)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f824,plain,
    ( ~ spl0_51
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f53,f821,f468]) ).

fof(f53,plain,
    ( ~ c0_1(a1015)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f819,plain,
    ( ~ spl0_51
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f54,f816,f468]) ).

fof(f54,plain,
    ( ~ c1_1(a1015)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f813,plain,
    ( ~ spl0_9
    | spl0_115 ),
    inference(avatar_split_clause,[],[f56,f810,f276]) ).

fof(f276,plain,
    ( spl0_9
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f56,plain,
    ( c1_1(a1019)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f808,plain,
    ( ~ spl0_9
    | spl0_114 ),
    inference(avatar_split_clause,[],[f57,f805,f276]) ).

fof(f57,plain,
    ( c2_1(a1019)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f803,plain,
    ( ~ spl0_9
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f58,f800,f276]) ).

fof(f58,plain,
    ( ~ c0_1(a1019)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f797,plain,
    ( ~ spl0_19
    | spl0_112 ),
    inference(avatar_split_clause,[],[f60,f794,f322]) ).

fof(f322,plain,
    ( spl0_19
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f60,plain,
    ( c3_1(a1023)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f792,plain,
    ( ~ spl0_19
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f61,f789,f322]) ).

fof(f61,plain,
    ( ~ c1_1(a1023)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f787,plain,
    ( ~ spl0_19
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f62,f784,f322]) ).

fof(f62,plain,
    ( ~ c2_1(a1023)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f781,plain,
    ( ~ spl0_8
    | spl0_109 ),
    inference(avatar_split_clause,[],[f64,f778,f272]) ).

fof(f272,plain,
    ( spl0_8
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f64,plain,
    ( c0_1(a1025)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f776,plain,
    ( ~ spl0_8
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f65,f773,f272]) ).

fof(f65,plain,
    ( ~ c2_1(a1025)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f771,plain,
    ( ~ spl0_8
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f66,f768,f272]) ).

fof(f66,plain,
    ( ~ c3_1(a1025)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f765,plain,
    ( ~ spl0_33
    | spl0_106 ),
    inference(avatar_split_clause,[],[f68,f762,f382]) ).

fof(f382,plain,
    ( spl0_33
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f68,plain,
    ( c2_1(a1026)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f760,plain,
    ( ~ spl0_33
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f69,f757,f382]) ).

fof(f69,plain,
    ( ~ c0_1(a1026)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f733,plain,
    ( ~ spl0_26
    | spl0_100 ),
    inference(avatar_split_clause,[],[f76,f730,f352]) ).

fof(f352,plain,
    ( spl0_26
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f76,plain,
    ( c2_1(a1032)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f728,plain,
    ( ~ spl0_26
    | spl0_99 ),
    inference(avatar_split_clause,[],[f77,f725,f352]) ).

fof(f77,plain,
    ( c3_1(a1032)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f723,plain,
    ( ~ spl0_26
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f78,f720,f352]) ).

fof(f78,plain,
    ( ~ c0_1(a1032)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f701,plain,
    ( ~ spl0_3
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f84,f698,f250]) ).

fof(f250,plain,
    ( spl0_3
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f84,plain,
    ( ~ c0_1(a1037)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f691,plain,
    ( ~ spl0_3
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f86,f688,f250]) ).

fof(f86,plain,
    ( ~ c3_1(a1037)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f680,plain,
    ( ~ spl0_15
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f89,f677,f303]) ).

fof(f303,plain,
    ( spl0_15
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f89,plain,
    ( ~ c1_1(a1038)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f675,plain,
    ( ~ spl0_15
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f90,f672,f303]) ).

fof(f90,plain,
    ( ~ c2_1(a1038)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f669,plain,
    ( ~ spl0_5
    | spl0_88 ),
    inference(avatar_split_clause,[],[f92,f666,f259]) ).

fof(f259,plain,
    ( spl0_5
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f92,plain,
    ( c2_1(a1041)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f664,plain,
    ( ~ spl0_5
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f93,f661,f259]) ).

fof(f93,plain,
    ( ~ c0_1(a1041)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f659,plain,
    ( ~ spl0_5
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f94,f656,f259]) ).

fof(f94,plain,
    ( ~ c3_1(a1041)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f653,plain,
    ( ~ spl0_7
    | spl0_85 ),
    inference(avatar_split_clause,[],[f96,f650,f268]) ).

fof(f268,plain,
    ( spl0_7
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f96,plain,
    ( c0_1(a1043)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f648,plain,
    ( ~ spl0_7
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f97,f645,f268]) ).

fof(f97,plain,
    ( ~ c1_1(a1043)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f643,plain,
    ( ~ spl0_7
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f98,f640,f268]) ).

fof(f98,plain,
    ( ~ c2_1(a1043)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f637,plain,
    ( ~ spl0_13
    | spl0_82 ),
    inference(avatar_split_clause,[],[f100,f634,f295]) ).

fof(f295,plain,
    ( spl0_13
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f100,plain,
    ( c0_1(a1044)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f632,plain,
    ( ~ spl0_13
    | spl0_81 ),
    inference(avatar_split_clause,[],[f101,f629,f295]) ).

fof(f101,plain,
    ( c1_1(a1044)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f627,plain,
    ( ~ spl0_13
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f102,f624,f295]) ).

fof(f102,plain,
    ( ~ c3_1(a1044)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f621,plain,
    ( ~ spl0_1
    | spl0_79 ),
    inference(avatar_split_clause,[],[f104,f618,f242]) ).

fof(f242,plain,
    ( spl0_1
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f104,plain,
    ( c1_1(a1045)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f616,plain,
    ( ~ spl0_1
    | spl0_78 ),
    inference(avatar_split_clause,[],[f105,f613,f242]) ).

fof(f105,plain,
    ( c3_1(a1045)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f611,plain,
    ( ~ spl0_1
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f106,f608,f242]) ).

fof(f106,plain,
    ( ~ c0_1(a1045)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f605,plain,
    ( ~ spl0_2
    | spl0_76 ),
    inference(avatar_split_clause,[],[f108,f602,f246]) ).

fof(f246,plain,
    ( spl0_2
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f108,plain,
    ( c1_1(a1048)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f600,plain,
    ( ~ spl0_2
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f109,f597,f246]) ).

fof(f109,plain,
    ( ~ c0_1(a1048)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f595,plain,
    ( ~ spl0_2
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f110,f592,f246]) ).

fof(f110,plain,
    ( ~ c3_1(a1048)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f590,plain,
    ( ~ spl0_11
    | spl0_20 ),
    inference(avatar_split_clause,[],[f111,f327,f285]) ).

fof(f285,plain,
    ( spl0_11
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

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

fof(f589,plain,
    ( ~ spl0_11
    | spl0_73 ),
    inference(avatar_split_clause,[],[f112,f586,f285]) ).

fof(f112,plain,
    ( c3_1(a1052)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f584,plain,
    ( ~ spl0_11
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f113,f581,f285]) ).

fof(f113,plain,
    ( ~ c0_1(a1052)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f573,plain,
    ( ~ spl0_10
    | spl0_70 ),
    inference(avatar_split_clause,[],[f116,f570,f281]) ).

fof(f281,plain,
    ( spl0_10
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f116,plain,
    ( c0_1(a1029)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f563,plain,
    ( ~ spl0_10
    | spl0_68 ),
    inference(avatar_split_clause,[],[f118,f560,f281]) ).

fof(f118,plain,
    ( c3_1(a1029)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f557,plain,
    ( ~ spl0_42
    | spl0_67 ),
    inference(avatar_split_clause,[],[f120,f554,f424]) ).

fof(f424,plain,
    ( spl0_42
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f120,plain,
    ( c0_1(a1033)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f552,plain,
    ( ~ spl0_42
    | spl0_66 ),
    inference(avatar_split_clause,[],[f121,f549,f424]) ).

fof(f121,plain,
    ( c1_1(a1033)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f547,plain,
    ( ~ spl0_42
    | spl0_65 ),
    inference(avatar_split_clause,[],[f122,f544,f424]) ).

fof(f122,plain,
    ( c2_1(a1033)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f542,plain,
    ( ~ spl0_16
    | spl0_20 ),
    inference(avatar_split_clause,[],[f123,f327,f308]) ).

fof(f308,plain,
    ( spl0_16
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f123,plain,
    ( ndr1_0
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f541,plain,
    ( ~ spl0_16
    | spl0_64 ),
    inference(avatar_split_clause,[],[f124,f538,f308]) ).

fof(f124,plain,
    ( c0_1(a1040)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f536,plain,
    ( ~ spl0_16
    | spl0_63 ),
    inference(avatar_split_clause,[],[f125,f533,f308]) ).

fof(f125,plain,
    ( c1_1(a1040)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f531,plain,
    ( ~ spl0_16
    | spl0_62 ),
    inference(avatar_split_clause,[],[f126,f528,f308]) ).

fof(f126,plain,
    ( c3_1(a1040)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f511,plain,
    ( spl0_57
    | spl0_58
    | ~ spl0_20
    | spl0_53 ),
    inference(avatar_split_clause,[],[f204,f480,f327,f509,f505]) ).

fof(f204,plain,
    ! [X101,X102,X100] :
      ( ~ c2_1(X100)
      | c3_1(X100)
      | c1_1(X100)
      | ~ ndr1_0
      | ~ c3_1(X101)
      | c2_1(X101)
      | c0_1(X101)
      | ~ c3_1(X102)
      | c1_1(X102)
      | c0_1(X102) ),
    inference(duplicate_literal_removal,[],[f133]) ).

fof(f133,plain,
    ! [X101,X102,X100] :
      ( ~ c2_1(X100)
      | c3_1(X100)
      | c1_1(X100)
      | ~ ndr1_0
      | ~ c3_1(X101)
      | c2_1(X101)
      | c0_1(X101)
      | ~ ndr1_0
      | ~ c3_1(X102)
      | c1_1(X102)
      | c0_1(X102)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f503,plain,
    ( spl0_56
    | spl0_52
    | ~ spl0_20
    | spl0_43 ),
    inference(avatar_split_clause,[],[f206,f429,f327,f474,f499]) ).

fof(f206,plain,
    ! [X96,X97,X95] :
      ( c3_1(X95)
      | c2_1(X95)
      | c1_1(X95)
      | ~ ndr1_0
      | ~ c1_1(X96)
      | c3_1(X96)
      | c0_1(X96)
      | c3_1(X97)
      | c2_1(X97)
      | c0_1(X97) ),
    inference(duplicate_literal_removal,[],[f135]) ).

fof(f135,plain,
    ! [X96,X97,X95] :
      ( c3_1(X95)
      | c2_1(X95)
      | c1_1(X95)
      | ~ ndr1_0
      | ~ c1_1(X96)
      | c3_1(X96)
      | c0_1(X96)
      | ~ ndr1_0
      | c3_1(X97)
      | c2_1(X97)
      | c0_1(X97)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f501,plain,
    ( spl0_56
    | spl0_53
    | ~ spl0_20
    | spl0_34 ),
    inference(avatar_split_clause,[],[f208,f387,f327,f480,f499]) ).

fof(f208,plain,
    ! [X90,X91,X92] :
      ( ~ c0_1(X90)
      | c3_1(X90)
      | c2_1(X90)
      | ~ ndr1_0
      | ~ c2_1(X91)
      | c3_1(X91)
      | c1_1(X91)
      | c3_1(X92)
      | c2_1(X92)
      | c0_1(X92) ),
    inference(duplicate_literal_removal,[],[f137]) ).

fof(f137,plain,
    ! [X90,X91,X92] :
      ( ~ c0_1(X90)
      | c3_1(X90)
      | c2_1(X90)
      | ~ ndr1_0
      | ~ c2_1(X91)
      | c3_1(X91)
      | c1_1(X91)
      | ~ ndr1_0
      | c3_1(X92)
      | c2_1(X92)
      | c0_1(X92)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f490,plain,
    ( spl0_54
    | ~ spl0_20
    | spl0_53
    | spl0_31 ),
    inference(avatar_split_clause,[],[f212,f373,f480,f327,f486]) ).

fof(f212,plain,
    ! [X82,X83] :
      ( hskp8
      | ~ c2_1(X82)
      | c3_1(X82)
      | c1_1(X82)
      | ~ ndr1_0
      | ~ c1_1(X83)
      | c2_1(X83)
      | c0_1(X83) ),
    inference(duplicate_literal_removal,[],[f141]) ).

fof(f141,plain,
    ! [X82,X83] :
      ( hskp8
      | ~ c2_1(X82)
      | c3_1(X82)
      | c1_1(X82)
      | ~ ndr1_0
      | ~ c1_1(X83)
      | c2_1(X83)
      | c0_1(X83)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f483,plain,
    ( spl0_52
    | spl0_41
    | ~ spl0_20
    | spl0_37 ),
    inference(avatar_split_clause,[],[f214,f400,f327,f420,f474]) ).

fof(f214,plain,
    ! [X76,X77,X75] :
      ( ~ c3_1(X75)
      | ~ c2_1(X75)
      | ~ c1_1(X75)
      | ~ ndr1_0
      | ~ c3_1(X76)
      | c2_1(X76)
      | c1_1(X76)
      | ~ c1_1(X77)
      | c3_1(X77)
      | c0_1(X77) ),
    inference(duplicate_literal_removal,[],[f145]) ).

fof(f145,plain,
    ! [X76,X77,X75] :
      ( ~ c3_1(X75)
      | ~ c2_1(X75)
      | ~ c1_1(X75)
      | ~ ndr1_0
      | ~ c3_1(X76)
      | c2_1(X76)
      | c1_1(X76)
      | ~ ndr1_0
      | ~ c1_1(X77)
      | c3_1(X77)
      | c0_1(X77)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f478,plain,
    ( spl0_52
    | spl0_36
    | ~ spl0_20
    | spl0_25 ),
    inference(avatar_split_clause,[],[f216,f349,f327,f395,f474]) ).

fof(f216,plain,
    ! [X72,X70,X71] :
      ( ~ c2_1(X70)
      | ~ c0_1(X70)
      | c3_1(X70)
      | ~ ndr1_0
      | ~ c3_1(X71)
      | ~ c0_1(X71)
      | c1_1(X71)
      | ~ c1_1(X72)
      | c3_1(X72)
      | c0_1(X72) ),
    inference(duplicate_literal_removal,[],[f147]) ).

fof(f147,plain,
    ! [X72,X70,X71] :
      ( ~ c2_1(X70)
      | ~ c0_1(X70)
      | c3_1(X70)
      | ~ ndr1_0
      | ~ c3_1(X71)
      | ~ c0_1(X71)
      | c1_1(X71)
      | ~ ndr1_0
      | ~ c1_1(X72)
      | c3_1(X72)
      | c0_1(X72)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f477,plain,
    ( spl0_52
    | ~ spl0_20
    | spl0_21
    | spl0_12 ),
    inference(avatar_split_clause,[],[f217,f290,f331,f327,f474]) ).

fof(f217,plain,
    ! [X68,X69] :
      ( hskp6
      | ~ c3_1(X68)
      | ~ c2_1(X68)
      | ~ c0_1(X68)
      | ~ ndr1_0
      | ~ c1_1(X69)
      | c3_1(X69)
      | c0_1(X69) ),
    inference(duplicate_literal_removal,[],[f148]) ).

fof(f148,plain,
    ! [X68,X69] :
      ( hskp6
      | ~ c3_1(X68)
      | ~ c2_1(X68)
      | ~ c0_1(X68)
      | ~ ndr1_0
      | ~ c1_1(X69)
      | c3_1(X69)
      | c0_1(X69)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f476,plain,
    ( ~ spl0_20
    | spl0_52
    | spl0_12
    | spl0_9 ),
    inference(avatar_split_clause,[],[f149,f276,f290,f474,f327]) ).

fof(f149,plain,
    ! [X67] :
      ( hskp12
      | hskp6
      | ~ c1_1(X67)
      | c3_1(X67)
      | c0_1(X67)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f472,plain,
    ( spl0_48
    | spl0_38
    | ~ spl0_20
    | spl0_34 ),
    inference(avatar_split_clause,[],[f218,f387,f327,f405,f456]) ).

fof(f218,plain,
    ! [X65,X66,X64] :
      ( ~ c0_1(X64)
      | c3_1(X64)
      | c2_1(X64)
      | ~ ndr1_0
      | ~ c2_1(X65)
      | ~ c0_1(X65)
      | c1_1(X65)
      | ~ c2_1(X66)
      | c3_1(X66)
      | c0_1(X66) ),
    inference(duplicate_literal_removal,[],[f150]) ).

fof(f150,plain,
    ! [X65,X66,X64] :
      ( ~ c0_1(X64)
      | c3_1(X64)
      | c2_1(X64)
      | ~ ndr1_0
      | ~ c2_1(X65)
      | ~ c0_1(X65)
      | c1_1(X65)
      | ~ ndr1_0
      | ~ c2_1(X66)
      | c3_1(X66)
      | c0_1(X66)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f471,plain,
    ( spl0_48
    | ~ spl0_20
    | spl0_36
    | spl0_51 ),
    inference(avatar_split_clause,[],[f219,f468,f395,f327,f456]) ).

fof(f219,plain,
    ! [X62,X63] :
      ( hskp11
      | ~ c3_1(X62)
      | ~ c0_1(X62)
      | c1_1(X62)
      | ~ ndr1_0
      | ~ c2_1(X63)
      | c3_1(X63)
      | c0_1(X63) ),
    inference(duplicate_literal_removal,[],[f151]) ).

fof(f151,plain,
    ! [X62,X63] :
      ( hskp11
      | ~ c3_1(X62)
      | ~ c0_1(X62)
      | c1_1(X62)
      | ~ ndr1_0
      | ~ c2_1(X63)
      | c3_1(X63)
      | c0_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f466,plain,
    ( ~ spl0_20
    | spl0_48
    | spl0_49
    | spl0_50 ),
    inference(avatar_split_clause,[],[f152,f463,f459,f456,f327]) ).

fof(f152,plain,
    ! [X61] :
      ( hskp1
      | hskp2
      | ~ c2_1(X61)
      | c3_1(X61)
      | c0_1(X61)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f453,plain,
    ( spl0_47
    | ~ spl0_20
    | spl0_35
    | spl0_31 ),
    inference(avatar_split_clause,[],[f221,f373,f391,f327,f450]) ).

fof(f221,plain,
    ! [X58,X57] :
      ( hskp8
      | ~ c3_1(X57)
      | ~ c2_1(X57)
      | c1_1(X57)
      | ~ ndr1_0
      | ~ c2_1(X58)
      | ~ c1_1(X58)
      | c0_1(X58) ),
    inference(duplicate_literal_removal,[],[f154]) ).

fof(f154,plain,
    ! [X58,X57] :
      ( hskp8
      | ~ c3_1(X57)
      | ~ c2_1(X57)
      | c1_1(X57)
      | ~ ndr1_0
      | ~ c2_1(X58)
      | ~ c1_1(X58)
      | c0_1(X58)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f452,plain,
    ( spl0_47
    | ~ spl0_20
    | spl0_29
    | spl0_8 ),
    inference(avatar_split_clause,[],[f222,f272,f365,f327,f450]) ).

fof(f222,plain,
    ! [X56,X55] :
      ( hskp14
      | ~ c3_1(X55)
      | ~ c0_1(X55)
      | c2_1(X55)
      | ~ ndr1_0
      | ~ c2_1(X56)
      | ~ c1_1(X56)
      | c0_1(X56) ),
    inference(duplicate_literal_removal,[],[f155]) ).

fof(f155,plain,
    ! [X56,X55] :
      ( hskp14
      | ~ c3_1(X55)
      | ~ c0_1(X55)
      | c2_1(X55)
      | ~ ndr1_0
      | ~ c2_1(X56)
      | ~ c1_1(X56)
      | c0_1(X56)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f448,plain,
    ( spl0_46
    | spl0_45
    | ~ spl0_20
    | spl0_37 ),
    inference(avatar_split_clause,[],[f223,f400,f327,f441,f445]) ).

fof(f223,plain,
    ! [X54,X52,X53] :
      ( ~ c3_1(X52)
      | ~ c2_1(X52)
      | ~ c1_1(X52)
      | ~ ndr1_0
      | ~ c3_1(X53)
      | ~ c2_1(X53)
      | c0_1(X53)
      | ~ c3_1(X54)
      | ~ c1_1(X54)
      | c0_1(X54) ),
    inference(duplicate_literal_removal,[],[f156]) ).

fof(f156,plain,
    ! [X54,X52,X53] :
      ( ~ c3_1(X52)
      | ~ c2_1(X52)
      | ~ c1_1(X52)
      | ~ ndr1_0
      | ~ c3_1(X53)
      | ~ c2_1(X53)
      | c0_1(X53)
      | ~ ndr1_0
      | ~ c3_1(X54)
      | ~ c1_1(X54)
      | c0_1(X54)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f443,plain,
    ( spl0_45
    | ~ spl0_20
    | spl0_32
    | spl0_23 ),
    inference(avatar_split_clause,[],[f225,f340,f379,f327,f441]) ).

fof(f225,plain,
    ! [X48,X49] :
      ( hskp9
      | ~ c1_1(X48)
      | c3_1(X48)
      | c2_1(X48)
      | ~ ndr1_0
      | ~ c3_1(X49)
      | ~ c2_1(X49)
      | c0_1(X49) ),
    inference(duplicate_literal_removal,[],[f158]) ).

fof(f158,plain,
    ! [X48,X49] :
      ( hskp9
      | ~ c1_1(X48)
      | c3_1(X48)
      | c2_1(X48)
      | ~ ndr1_0
      | ~ c3_1(X49)
      | ~ c2_1(X49)
      | c0_1(X49)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f439,plain,
    ( spl0_43
    | ~ spl0_20
    | spl0_39
    | spl0_19 ),
    inference(avatar_split_clause,[],[f226,f322,f409,f327,f429]) ).

fof(f226,plain,
    ! [X46,X47] :
      ( hskp13
      | ~ c0_1(X46)
      | c3_1(X46)
      | c1_1(X46)
      | ~ ndr1_0
      | c3_1(X47)
      | c2_1(X47)
      | c1_1(X47) ),
    inference(duplicate_literal_removal,[],[f159]) ).

fof(f159,plain,
    ! [X46,X47] :
      ( hskp13
      | ~ c0_1(X46)
      | c3_1(X46)
      | c1_1(X46)
      | ~ ndr1_0
      | c3_1(X47)
      | c2_1(X47)
      | c1_1(X47)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f432,plain,
    ( spl0_43
    | ~ spl0_20
    | spl0_29
    | spl0_9 ),
    inference(avatar_split_clause,[],[f229,f276,f365,f327,f429]) ).

fof(f229,plain,
    ! [X40,X41] :
      ( hskp12
      | ~ c3_1(X40)
      | ~ c0_1(X40)
      | c2_1(X40)
      | ~ ndr1_0
      | c3_1(X41)
      | c2_1(X41)
      | c1_1(X41) ),
    inference(duplicate_literal_removal,[],[f162]) ).

fof(f162,plain,
    ! [X40,X41] :
      ( hskp12
      | ~ c3_1(X40)
      | ~ c0_1(X40)
      | c2_1(X40)
      | ~ ndr1_0
      | c3_1(X41)
      | c2_1(X41)
      | c1_1(X41)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f431,plain,
    ( spl0_43
    | ~ spl0_20
    | spl0_27
    | spl0_26 ),
    inference(avatar_split_clause,[],[f230,f352,f357,f327,f429]) ).

fof(f230,plain,
    ! [X38,X39] :
      ( hskp17
      | ~ c1_1(X38)
      | ~ c0_1(X38)
      | c3_1(X38)
      | ~ ndr1_0
      | c3_1(X39)
      | c2_1(X39)
      | c1_1(X39) ),
    inference(duplicate_literal_removal,[],[f163]) ).

fof(f163,plain,
    ! [X38,X39] :
      ( hskp17
      | ~ c1_1(X38)
      | ~ c0_1(X38)
      | c3_1(X38)
      | ~ ndr1_0
      | c3_1(X39)
      | c2_1(X39)
      | c1_1(X39)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f427,plain,
    ( ~ spl0_20
    | spl0_41
    | spl0_42
    | spl0_31 ),
    inference(avatar_split_clause,[],[f164,f373,f424,f420,f327]) ).

fof(f164,plain,
    ! [X37] :
      ( hskp8
      | hskp28
      | ~ c3_1(X37)
      | c2_1(X37)
      | c1_1(X37)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f417,plain,
    ( spl0_39
    | ~ spl0_20
    | spl0_34
    | spl0_15 ),
    inference(avatar_split_clause,[],[f232,f303,f387,f327,f409]) ).

fof(f232,plain,
    ! [X32,X33] :
      ( hskp20
      | ~ c0_1(X32)
      | c3_1(X32)
      | c2_1(X32)
      | ~ ndr1_0
      | ~ c0_1(X33)
      | c3_1(X33)
      | c1_1(X33) ),
    inference(duplicate_literal_removal,[],[f167]) ).

fof(f167,plain,
    ! [X32,X33] :
      ( hskp20
      | ~ c0_1(X32)
      | c3_1(X32)
      | c2_1(X32)
      | ~ ndr1_0
      | ~ c0_1(X33)
      | c3_1(X33)
      | c1_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f411,plain,
    ( ~ spl0_20
    | spl0_39
    | spl0_16
    | spl0_5 ),
    inference(avatar_split_clause,[],[f169,f259,f308,f409,f327]) ).

fof(f169,plain,
    ! [X29] :
      ( hskp21
      | hskp29
      | ~ c0_1(X29)
      | c3_1(X29)
      | c1_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f403,plain,
    ( spl0_36
    | ~ spl0_20
    | spl0_32
    | spl0_7 ),
    inference(avatar_split_clause,[],[f235,f268,f379,f327,f395]) ).

fof(f235,plain,
    ! [X26,X25] :
      ( hskp22
      | ~ c1_1(X25)
      | c3_1(X25)
      | c2_1(X25)
      | ~ ndr1_0
      | ~ c3_1(X26)
      | ~ c0_1(X26)
      | c1_1(X26) ),
    inference(duplicate_literal_removal,[],[f171]) ).

fof(f171,plain,
    ! [X26,X25] :
      ( hskp22
      | ~ c1_1(X25)
      | c3_1(X25)
      | c2_1(X25)
      | ~ ndr1_0
      | ~ c3_1(X26)
      | ~ c0_1(X26)
      | c1_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f402,plain,
    ( spl0_36
    | spl0_30
    | ~ spl0_20
    | spl0_37 ),
    inference(avatar_split_clause,[],[f236,f400,f327,f369,f395]) ).

fof(f236,plain,
    ! [X24,X22,X23] :
      ( ~ c3_1(X22)
      | ~ c2_1(X22)
      | ~ c1_1(X22)
      | ~ ndr1_0
      | ~ c1_1(X23)
      | ~ c0_1(X23)
      | c2_1(X23)
      | ~ c3_1(X24)
      | ~ c0_1(X24)
      | c1_1(X24) ),
    inference(duplicate_literal_removal,[],[f172]) ).

fof(f172,plain,
    ! [X24,X22,X23] :
      ( ~ c3_1(X22)
      | ~ c2_1(X22)
      | ~ c1_1(X22)
      | ~ ndr1_0
      | ~ c1_1(X23)
      | ~ c0_1(X23)
      | c2_1(X23)
      | ~ ndr1_0
      | ~ c3_1(X24)
      | ~ c0_1(X24)
      | c1_1(X24)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f398,plain,
    ( ~ spl0_20
    | spl0_36
    | spl0_13 ),
    inference(avatar_split_clause,[],[f173,f295,f395,f327]) ).

fof(f173,plain,
    ! [X21] :
      ( hskp23
      | ~ c3_1(X21)
      | ~ c0_1(X21)
      | c1_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f393,plain,
    ( spl0_35
    | spl0_29
    | ~ spl0_20
    | spl0_24 ),
    inference(avatar_split_clause,[],[f237,f345,f327,f365,f391]) ).

fof(f237,plain,
    ! [X18,X19,X17] :
      ( ~ c2_1(X17)
      | ~ c1_1(X17)
      | c3_1(X17)
      | ~ ndr1_0
      | ~ c3_1(X18)
      | ~ c0_1(X18)
      | c2_1(X18)
      | ~ c3_1(X19)
      | ~ c2_1(X19)
      | c1_1(X19) ),
    inference(duplicate_literal_removal,[],[f175]) ).

fof(f175,plain,
    ! [X18,X19,X17] :
      ( ~ c2_1(X17)
      | ~ c1_1(X17)
      | c3_1(X17)
      | ~ ndr1_0
      | ~ c3_1(X18)
      | ~ c0_1(X18)
      | c2_1(X18)
      | ~ ndr1_0
      | ~ c3_1(X19)
      | ~ c2_1(X19)
      | c1_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f389,plain,
    ( ~ spl0_20
    | spl0_34
    | spl0_17
    | spl0_2 ),
    inference(avatar_split_clause,[],[f176,f246,f312,f387,f327]) ).

fof(f176,plain,
    ! [X16] :
      ( hskp25
      | hskp3
      | ~ c0_1(X16)
      | c3_1(X16)
      | c2_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f385,plain,
    ( spl0_32
    | ~ spl0_20
    | spl0_25
    | spl0_33 ),
    inference(avatar_split_clause,[],[f238,f382,f349,f327,f379]) ).

fof(f238,plain,
    ! [X14,X15] :
      ( hskp15
      | ~ c2_1(X14)
      | ~ c0_1(X14)
      | c3_1(X14)
      | ~ ndr1_0
      | ~ c1_1(X15)
      | c3_1(X15)
      | c2_1(X15) ),
    inference(duplicate_literal_removal,[],[f177]) ).

fof(f177,plain,
    ! [X14,X15] :
      ( hskp15
      | ~ c2_1(X14)
      | ~ c0_1(X14)
      | c3_1(X14)
      | ~ ndr1_0
      | ~ c1_1(X15)
      | c3_1(X15)
      | c2_1(X15)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f377,plain,
    ( spl0_30
    | ~ spl0_20
    | spl0_21
    | spl0_12 ),
    inference(avatar_split_clause,[],[f239,f290,f331,f327,f369]) ).

fof(f239,plain,
    ! [X12,X13] :
      ( hskp6
      | ~ c3_1(X12)
      | ~ c2_1(X12)
      | ~ c0_1(X12)
      | ~ ndr1_0
      | ~ c1_1(X13)
      | ~ c0_1(X13)
      | c2_1(X13) ),
    inference(duplicate_literal_removal,[],[f178]) ).

fof(f178,plain,
    ! [X12,X13] :
      ( hskp6
      | ~ c3_1(X12)
      | ~ c2_1(X12)
      | ~ c0_1(X12)
      | ~ ndr1_0
      | ~ c1_1(X13)
      | ~ c0_1(X13)
      | c2_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f376,plain,
    ( ~ spl0_20
    | spl0_30
    | spl0_31
    | spl0_11 ),
    inference(avatar_split_clause,[],[f179,f285,f373,f369,f327]) ).

fof(f179,plain,
    ! [X11] :
      ( hskp26
      | hskp8
      | ~ c1_1(X11)
      | ~ c0_1(X11)
      | c2_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f371,plain,
    ( ~ spl0_20
    | spl0_30
    | spl0_12
    | spl0_19 ),
    inference(avatar_split_clause,[],[f180,f322,f290,f369,f327]) ).

fof(f180,plain,
    ! [X10] :
      ( hskp13
      | hskp6
      | ~ c1_1(X10)
      | ~ c0_1(X10)
      | c2_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f367,plain,
    ( ~ spl0_20
    | spl0_29
    | spl0_13
    | spl0_17 ),
    inference(avatar_split_clause,[],[f181,f312,f295,f365,f327]) ).

fof(f181,plain,
    ! [X9] :
      ( hskp3
      | hskp23
      | ~ c3_1(X9)
      | ~ c0_1(X9)
      | c2_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f359,plain,
    ( ~ spl0_20
    | spl0_27
    | spl0_4
    | spl0_3 ),
    inference(avatar_split_clause,[],[f183,f250,f255,f357,f327]) ).

fof(f183,plain,
    ! [X7] :
      ( hskp19
      | hskp4
      | ~ c1_1(X7)
      | ~ c0_1(X7)
      | c3_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f355,plain,
    ( spl0_25
    | ~ spl0_20
    | spl0_22
    | spl0_26 ),
    inference(avatar_split_clause,[],[f240,f352,f336,f327,f349]) ).

fof(f240,plain,
    ! [X6,X5] :
      ( hskp17
      | ~ c2_1(X5)
      | ~ c1_1(X5)
      | ~ c0_1(X5)
      | ~ ndr1_0
      | ~ c2_1(X6)
      | ~ c0_1(X6)
      | c3_1(X6) ),
    inference(duplicate_literal_removal,[],[f184]) ).

fof(f184,plain,
    ! [X6,X5] :
      ( hskp17
      | ~ c2_1(X5)
      | ~ c1_1(X5)
      | ~ c0_1(X5)
      | ~ ndr1_0
      | ~ c2_1(X6)
      | ~ c0_1(X6)
      | c3_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f343,plain,
    ( ~ spl0_20
    | spl0_22
    | spl0_23
    | spl0_9 ),
    inference(avatar_split_clause,[],[f186,f276,f340,f336,f327]) ).

fof(f186,plain,
    ! [X3] :
      ( hskp12
      | hskp9
      | ~ c2_1(X3)
      | ~ c1_1(X3)
      | ~ c0_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f338,plain,
    ( ~ spl0_20
    | spl0_22
    | spl0_6 ),
    inference(avatar_split_clause,[],[f187,f263,f336,f327]) ).

fof(f187,plain,
    ! [X2] :
      ( hskp7
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f334,plain,
    ( ~ spl0_20
    | spl0_21
    | spl0_1
    | spl0_17 ),
    inference(avatar_split_clause,[],[f188,f312,f242,f331,f327]) ).

fof(f188,plain,
    ! [X1] :
      ( hskp3
      | hskp24
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f325,plain,
    ( spl0_16
    | spl0_13
    | spl0_19 ),
    inference(avatar_split_clause,[],[f190,f322,f295,f308]) ).

fof(f190,plain,
    ( hskp13
    | hskp23
    | hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f320,plain,
    ( spl0_16
    | spl0_9
    | spl0_18 ),
    inference(avatar_split_clause,[],[f191,f317,f276,f308]) ).

fof(f191,plain,
    ( hskp5
    | hskp12
    | hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f315,plain,
    ( spl0_16
    | spl0_17
    | spl0_11 ),
    inference(avatar_split_clause,[],[f192,f285,f312,f308]) ).

fof(f192,plain,
    ( hskp26
    | hskp3
    | hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f293,plain,
    ( spl0_10
    | spl0_12
    | spl0_8 ),
    inference(avatar_split_clause,[],[f194,f272,f290,f281]) ).

fof(f194,plain,
    ( hskp14
    | hskp6
    | hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f279,plain,
    ( spl0_7
    | spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f196,f276,f272,f268]) ).

fof(f196,plain,
    ( hskp12
    | hskp14
    | hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f266,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f197,f263,f259,f255]) ).

fof(f197,plain,
    ( hskp7
    | hskp21
    | hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f253,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f198,f250,f246,f242]) ).

fof(f198,plain,
    ( hskp19
    | hskp25
    | hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/2.84  % Problem    : SYN475+1 : TPTP v8.1.2. Released v2.1.0.
% 0.08/2.86  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/3.07  % Computer : n008.cluster.edu
% 0.15/3.07  % Model    : x86_64 x86_64
% 0.15/3.07  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/3.07  % Memory   : 8042.1875MB
% 0.15/3.07  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/3.07  % CPULimit   : 300
% 0.15/3.07  % WCLimit    : 300
% 0.15/3.07  % DateTime   : Tue Apr 30 01:51:02 EDT 2024
% 0.15/3.08  % CPUTime    : 
% 0.15/3.08  % (15865)Running in auto input_syntax mode. Trying TPTP
% 0.15/3.10  % (15866)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/3.10  % (15867)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/3.10  % (15869)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/3.10  % (15868)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.21/3.10  % (15871)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/3.10  % (15870)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/3.10  % (15872)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/3.10  Detected minimum model sizes of [1]
% 0.21/3.10  Detected maximum model sizes of [30]
% 0.21/3.10  TRYING [1]
% 0.21/3.10  TRYING [2]
% 0.21/3.11  Detected minimum model sizes of [1]
% 0.21/3.11  Detected maximum model sizes of [30]
% 0.21/3.11  TRYING [1]
% 0.21/3.11  TRYING [3]
% 0.21/3.11  TRYING [2]
% 0.21/3.11  Detected minimum model sizes of [1]
% 0.21/3.11  Detected maximum model sizes of [30]
% 0.21/3.11  TRYING [1]
% 0.21/3.11  TRYING [3]
% 0.21/3.11  TRYING [2]
% 0.21/3.11  TRYING [4]
% 0.21/3.11  TRYING [3]
% 0.21/3.11  Detected minimum model sizes of [1]
% 0.21/3.11  Detected maximum model sizes of [30]
% 0.21/3.11  TRYING [1]
% 0.21/3.11  TRYING [2]
% 0.21/3.12  TRYING [4]
% 0.21/3.12  TRYING [3]
% 0.21/3.12  TRYING [4]
% 0.21/3.12  TRYING [4]
% 0.21/3.12  TRYING [5]
% 0.21/3.13  TRYING [5]
% 0.21/3.13  TRYING [5]
% 0.21/3.13  % (15871)First to succeed.
% 0.21/3.14  TRYING [5]
% 0.54/3.15  % (15871)Refutation found. Thanks to Tanya!
% 0.54/3.15  % SZS status Theorem for theBenchmark
% 0.54/3.15  % SZS output start Proof for theBenchmark
% See solution above
% 0.54/3.16  % (15871)------------------------------
% 0.54/3.16  % (15871)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/3.16  % (15871)Termination reason: Refutation
% 0.54/3.16  
% 0.54/3.16  % (15871)Memory used [KB]: 1839
% 0.54/3.16  % (15871)Time elapsed: 0.049 s
% 0.54/3.16  % (15871)Instructions burned: 86 (million)
% 0.54/3.16  % (15871)------------------------------
% 0.54/3.16  % (15871)------------------------------
% 0.54/3.16  % (15865)Success in time 0.059 s
%------------------------------------------------------------------------------