TSTP Solution File: SYN459+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN459+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n028.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 : Wed Aug 31 19:26:55 EDT 2022

% Result   : Theorem 1.57s 0.57s
% Output   : Refutation 1.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  119
% Syntax   : Number of formulae    :  520 (   1 unt;   0 def)
%            Number of atoms       : 5943 (   0 equ)
%            Maximal formula atoms :  605 (  11 avg)
%            Number of connectives : 8104 (2681   ~;3768   |;1141   &)
%                                         ( 118 <=>; 396  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   95 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  150 ( 149 usr; 146 prp; 0-1 aty)
%            Number of functors    :   26 (  26 usr;  26 con; 0-0 aty)
%            Number of variables   :  826 ( 826   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2471,plain,
    $false,
    inference(avatar_sat_refutation,[],[f215,f224,f251,f265,f279,f299,f325,f334,f343,f357,f374,f382,f410,f424,f429,f433,f438,f439,f443,f447,f453,f460,f465,f470,f481,f486,f491,f495,f500,f507,f512,f528,f532,f537,f549,f554,f559,f560,f562,f567,f579,f582,f596,f606,f611,f616,f622,f628,f633,f639,f645,f650,f651,f652,f657,f662,f667,f668,f672,f677,f682,f683,f684,f690,f694,f704,f713,f724,f729,f734,f739,f745,f751,f756,f763,f784,f785,f786,f787,f798,f812,f817,f818,f831,f836,f846,f860,f865,f873,f875,f880,f881,f1032,f1121,f1124,f1125,f1177,f1225,f1226,f1246,f1250,f1291,f1303,f1306,f1325,f1382,f1386,f1418,f1420,f1422,f1536,f1561,f1562,f1574,f1592,f1634,f1637,f1679,f1694,f1741,f1803,f1814,f1816,f1886,f1953,f1993,f2038,f2041,f2043,f2060,f2068,f2069,f2085,f2107,f2117,f2118,f2120,f2150,f2173,f2177,f2179,f2182,f2190,f2192,f2271,f2273,f2279,f2289,f2321,f2369,f2422,f2442,f2457,f2464,f2470]) ).

fof(f2470,plain,
    ( spl0_67
    | spl0_74
    | ~ spl0_54
    | spl0_148 ),
    inference(avatar_split_clause,[],[f2469,f1013,f441,f534,f504]) ).

fof(f504,plain,
    ( spl0_67
  <=> c0_1(a199) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f534,plain,
    ( spl0_74
  <=> c1_1(a199) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f441,plain,
    ( spl0_54
  <=> ! [X56] :
        ( c0_1(X56)
        | c3_1(X56)
        | c1_1(X56) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f1013,plain,
    ( spl0_148
  <=> c3_1(a199) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f2469,plain,
    ( c1_1(a199)
    | c0_1(a199)
    | ~ spl0_54
    | spl0_148 ),
    inference(resolution,[],[f1014,f442]) ).

fof(f442,plain,
    ( ! [X56] :
        ( c3_1(X56)
        | c0_1(X56)
        | c1_1(X56) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f1014,plain,
    ( ~ c3_1(a199)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f1013]) ).

fof(f2464,plain,
    ( spl0_157
    | ~ spl0_126
    | ~ spl0_40
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f2462,f877,f380,f814,f1394]) ).

fof(f1394,plain,
    ( spl0_157
  <=> c3_1(a230) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f814,plain,
    ( spl0_126
  <=> c0_1(a230) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f380,plain,
    ( spl0_40
  <=> ! [X35] :
        ( ~ c0_1(X35)
        | ~ c1_1(X35)
        | c3_1(X35) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f877,plain,
    ( spl0_136
  <=> c1_1(a230) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f2462,plain,
    ( ~ c0_1(a230)
    | c3_1(a230)
    | ~ spl0_40
    | ~ spl0_136 ),
    inference(resolution,[],[f879,f381]) ).

fof(f381,plain,
    ( ! [X35] :
        ( ~ c1_1(X35)
        | ~ c0_1(X35)
        | c3_1(X35) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f879,plain,
    ( c1_1(a230)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f877]) ).

fof(f2457,plain,
    ( ~ spl0_148
    | spl0_67
    | ~ spl0_77
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2448,f833,f547,f504,f1013]) ).

fof(f547,plain,
    ( spl0_77
  <=> ! [X30] :
        ( ~ c2_1(X30)
        | c0_1(X30)
        | ~ c3_1(X30) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f833,plain,
    ( spl0_129
  <=> c2_1(a199) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2448,plain,
    ( c0_1(a199)
    | ~ c3_1(a199)
    | ~ spl0_77
    | ~ spl0_129 ),
    inference(resolution,[],[f548,f835]) ).

fof(f835,plain,
    ( c2_1(a199)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f548,plain,
    ( ! [X30] :
        ( ~ c2_1(X30)
        | ~ c3_1(X30)
        | c0_1(X30) )
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f2442,plain,
    ( spl0_63
    | ~ spl0_18
    | ~ spl0_72
    | spl0_78 ),
    inference(avatar_split_clause,[],[f2436,f551,f526,f285,f483]) ).

fof(f483,plain,
    ( spl0_63
  <=> c1_1(a257) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f285,plain,
    ( spl0_18
  <=> ! [X58] :
        ( ~ c2_1(X58)
        | c1_1(X58)
        | c3_1(X58) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f526,plain,
    ( spl0_72
  <=> ! [X28] :
        ( c2_1(X28)
        | c1_1(X28)
        | c3_1(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f551,plain,
    ( spl0_78
  <=> c3_1(a257) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f2436,plain,
    ( c1_1(a257)
    | ~ spl0_18
    | ~ spl0_72
    | spl0_78 ),
    inference(resolution,[],[f2342,f553]) ).

fof(f553,plain,
    ( ~ c3_1(a257)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f2342,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_18
    | ~ spl0_72 ),
    inference(duplicate_literal_removal,[],[f2333]) ).

fof(f2333,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_18
    | ~ spl0_72 ),
    inference(resolution,[],[f527,f286]) ).

fof(f286,plain,
    ( ! [X58] :
        ( ~ c2_1(X58)
        | c3_1(X58)
        | c1_1(X58) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f527,plain,
    ( ! [X28] :
        ( c2_1(X28)
        | c3_1(X28)
        | c1_1(X28) )
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f2422,plain,
    ( spl0_157
    | ~ spl0_126
    | ~ spl0_2
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f2418,f445,f212,f814,f1394]) ).

fof(f212,plain,
    ( spl0_2
  <=> c2_1(a230) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f445,plain,
    ( spl0_55
  <=> ! [X3] :
        ( ~ c0_1(X3)
        | ~ c2_1(X3)
        | c3_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f2418,plain,
    ( ~ c0_1(a230)
    | c3_1(a230)
    | ~ spl0_2
    | ~ spl0_55 ),
    inference(resolution,[],[f446,f214]) ).

fof(f214,plain,
    ( c2_1(a230)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f446,plain,
    ( ! [X3] :
        ( ~ c2_1(X3)
        | ~ c0_1(X3)
        | c3_1(X3) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f2369,plain,
    ( spl0_74
    | ~ spl0_148
    | ~ spl0_76
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2357,f833,f544,f1013,f534]) ).

fof(f544,plain,
    ( spl0_76
  <=> ! [X31] :
        ( ~ c3_1(X31)
        | c1_1(X31)
        | ~ c2_1(X31) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2357,plain,
    ( ~ c3_1(a199)
    | c1_1(a199)
    | ~ spl0_76
    | ~ spl0_129 ),
    inference(resolution,[],[f545,f835]) ).

fof(f545,plain,
    ( ! [X31] :
        ( ~ c2_1(X31)
        | ~ c3_1(X31)
        | c1_1(X31) )
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f2321,plain,
    ( spl0_66
    | spl0_98
    | ~ spl0_65
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2295,f923,f493,f659,f497]) ).

fof(f497,plain,
    ( spl0_66
  <=> c1_1(a194) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f659,plain,
    ( spl0_98
  <=> c2_1(a194) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f493,plain,
    ( spl0_65
  <=> ! [X67] :
        ( ~ c3_1(X67)
        | c2_1(X67)
        | c1_1(X67) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f923,plain,
    ( spl0_142
  <=> c3_1(a194) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2295,plain,
    ( c2_1(a194)
    | c1_1(a194)
    | ~ spl0_65
    | ~ spl0_142 ),
    inference(resolution,[],[f494,f925]) ).

fof(f925,plain,
    ( c3_1(a194)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f494,plain,
    ( ! [X67] :
        ( ~ c3_1(X67)
        | c1_1(X67)
        | c2_1(X67) )
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f2289,plain,
    ( ~ spl0_140
    | ~ spl0_96
    | ~ spl0_44
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f2257,f636,f395,f647,f910]) ).

fof(f910,plain,
    ( spl0_140
  <=> c0_1(a198) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f647,plain,
    ( spl0_96
  <=> c1_1(a198) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f395,plain,
    ( spl0_44
  <=> ! [X70] :
        ( ~ c0_1(X70)
        | ~ c3_1(X70)
        | ~ c1_1(X70) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f636,plain,
    ( spl0_94
  <=> c3_1(a198) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f2257,plain,
    ( ~ c1_1(a198)
    | ~ c0_1(a198)
    | ~ spl0_44
    | ~ spl0_94 ),
    inference(resolution,[],[f396,f638]) ).

fof(f638,plain,
    ( c3_1(a198)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f396,plain,
    ( ! [X70] :
        ( ~ c3_1(X70)
        | ~ c1_1(X70)
        | ~ c0_1(X70) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f2279,plain,
    ( ~ spl0_144
    | ~ spl0_64
    | ~ spl0_44
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2268,f701,f395,f488,f952]) ).

fof(f952,plain,
    ( spl0_144
  <=> c0_1(a215) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f488,plain,
    ( spl0_64
  <=> c1_1(a215) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f701,plain,
    ( spl0_106
  <=> c3_1(a215) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f2268,plain,
    ( ~ c1_1(a215)
    | ~ c0_1(a215)
    | ~ spl0_44
    | ~ spl0_106 ),
    inference(resolution,[],[f396,f703]) ).

fof(f703,plain,
    ( c3_1(a215)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f2273,plain,
    ( ~ spl0_121
    | ~ spl0_53
    | ~ spl0_34
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f2267,f395,f354,f435,f781]) ).

fof(f781,plain,
    ( spl0_121
  <=> c0_1(a189) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f435,plain,
    ( spl0_53
  <=> c1_1(a189) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f354,plain,
    ( spl0_34
  <=> c3_1(a189) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f2267,plain,
    ( ~ c1_1(a189)
    | ~ c0_1(a189)
    | ~ spl0_34
    | ~ spl0_44 ),
    inference(resolution,[],[f396,f356]) ).

fof(f356,plain,
    ( c3_1(a189)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f2271,plain,
    ( ~ spl0_126
    | ~ spl0_136
    | ~ spl0_44
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2269,f1394,f395,f877,f814]) ).

fof(f2269,plain,
    ( ~ c1_1(a230)
    | ~ c0_1(a230)
    | ~ spl0_44
    | ~ spl0_157 ),
    inference(resolution,[],[f396,f1396]) ).

fof(f1396,plain,
    ( c3_1(a230)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1394]) ).

fof(f2192,plain,
    ( ~ spl0_128
    | spl0_115
    | ~ spl0_40
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2191,f1061,f380,f748,f828]) ).

fof(f828,plain,
    ( spl0_128
  <=> c0_1(a190) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f748,plain,
    ( spl0_115
  <=> c3_1(a190) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1061,plain,
    ( spl0_151
  <=> c1_1(a190) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f2191,plain,
    ( c3_1(a190)
    | ~ c0_1(a190)
    | ~ spl0_40
    | ~ spl0_151 ),
    inference(resolution,[],[f1063,f381]) ).

fof(f1063,plain,
    ( c1_1(a190)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f1061]) ).

fof(f2190,plain,
    ( ~ spl0_88
    | spl0_66
    | ~ spl0_35
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2189,f923,f359,f497,f603]) ).

fof(f603,plain,
    ( spl0_88
  <=> c0_1(a194) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f359,plain,
    ( spl0_35
  <=> ! [X77] :
        ( ~ c0_1(X77)
        | c1_1(X77)
        | ~ c3_1(X77) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f2189,plain,
    ( c1_1(a194)
    | ~ c0_1(a194)
    | ~ spl0_35
    | ~ spl0_142 ),
    inference(resolution,[],[f925,f360]) ).

fof(f360,plain,
    ( ! [X77] :
        ( ~ c3_1(X77)
        | ~ c0_1(X77)
        | c1_1(X77) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f2182,plain,
    ( spl0_151
    | spl0_115
    | ~ spl0_18
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2156,f721,f285,f748,f1061]) ).

fof(f721,plain,
    ( spl0_110
  <=> c2_1(a190) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f2156,plain,
    ( c3_1(a190)
    | c1_1(a190)
    | ~ spl0_18
    | ~ spl0_110 ),
    inference(resolution,[],[f286,f723]) ).

fof(f723,plain,
    ( c2_1(a190)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f2179,plain,
    ( spl0_148
    | spl0_74
    | ~ spl0_18
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2160,f833,f285,f534,f1013]) ).

fof(f2160,plain,
    ( c1_1(a199)
    | c3_1(a199)
    | ~ spl0_18
    | ~ spl0_129 ),
    inference(resolution,[],[f286,f835]) ).

fof(f2177,plain,
    ( spl0_143
    | spl0_131
    | ~ spl0_18
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f2165,f664,f285,f843,f931]) ).

fof(f931,plain,
    ( spl0_143
  <=> c1_1(a214) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f843,plain,
    ( spl0_131
  <=> c3_1(a214) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f664,plain,
    ( spl0_99
  <=> c2_1(a214) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f2165,plain,
    ( c3_1(a214)
    | c1_1(a214)
    | ~ spl0_18
    | ~ spl0_99 ),
    inference(resolution,[],[f286,f666]) ).

fof(f666,plain,
    ( c2_1(a214)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f2173,plain,
    ( spl0_78
    | spl0_63
    | ~ spl0_18
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f2167,f619,f285,f483,f551]) ).

fof(f619,plain,
    ( spl0_91
  <=> c2_1(a257) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f2167,plain,
    ( c1_1(a257)
    | c3_1(a257)
    | ~ spl0_18
    | ~ spl0_91 ),
    inference(resolution,[],[f286,f621]) ).

fof(f621,plain,
    ( c2_1(a257)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f2150,plain,
    ( spl0_93
    | ~ spl0_21
    | ~ spl0_35
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2149,f687,f359,f296,f630]) ).

fof(f630,plain,
    ( spl0_93
  <=> c1_1(a200) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f296,plain,
    ( spl0_21
  <=> c0_1(a200) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f687,plain,
    ( spl0_103
  <=> c3_1(a200) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f2149,plain,
    ( ~ c0_1(a200)
    | c1_1(a200)
    | ~ spl0_35
    | ~ spl0_103 ),
    inference(resolution,[],[f689,f360]) ).

fof(f689,plain,
    ( c3_1(a200)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f2120,plain,
    ( ~ spl0_126
    | ~ spl0_157
    | ~ spl0_2
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f2105,f455,f212,f1394,f814]) ).

fof(f455,plain,
    ( spl0_57
  <=> ! [X27] :
        ( ~ c2_1(X27)
        | ~ c0_1(X27)
        | ~ c3_1(X27) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f2105,plain,
    ( ~ c3_1(a230)
    | ~ c0_1(a230)
    | ~ spl0_2
    | ~ spl0_57 ),
    inference(resolution,[],[f456,f214]) ).

fof(f456,plain,
    ( ! [X27] :
        ( ~ c2_1(X27)
        | ~ c3_1(X27)
        | ~ c0_1(X27) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f2118,plain,
    ( ~ spl0_106
    | ~ spl0_144
    | ~ spl0_57
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f2104,f795,f455,f952,f701]) ).

fof(f795,plain,
    ( spl0_123
  <=> c2_1(a215) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f2104,plain,
    ( ~ c0_1(a215)
    | ~ c3_1(a215)
    | ~ spl0_57
    | ~ spl0_123 ),
    inference(resolution,[],[f456,f797]) ).

fof(f797,plain,
    ( c2_1(a215)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f2117,plain,
    ( ~ spl0_26
    | ~ spl0_153
    | ~ spl0_57
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f2100,f564,f455,f1130,f318]) ).

fof(f318,plain,
    ( spl0_26
  <=> c3_1(a210) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1130,plain,
    ( spl0_153
  <=> c0_1(a210) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f564,plain,
    ( spl0_80
  <=> c2_1(a210) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f2100,plain,
    ( ~ c0_1(a210)
    | ~ c3_1(a210)
    | ~ spl0_57
    | ~ spl0_80 ),
    inference(resolution,[],[f456,f566]) ).

fof(f566,plain,
    ( c2_1(a210)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f2107,plain,
    ( ~ spl0_103
    | ~ spl0_21
    | ~ spl0_57
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2098,f1103,f455,f296,f687]) ).

fof(f1103,plain,
    ( spl0_152
  <=> c2_1(a200) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f2098,plain,
    ( ~ c0_1(a200)
    | ~ c3_1(a200)
    | ~ spl0_57
    | ~ spl0_152 ),
    inference(resolution,[],[f456,f1105]) ).

fof(f1105,plain,
    ( c2_1(a200)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f1103]) ).

fof(f2085,plain,
    ( spl0_10
    | spl0_102
    | ~ spl0_52
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2076,f986,f431,f679,f248]) ).

fof(f248,plain,
    ( spl0_10
  <=> c1_1(a191) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f679,plain,
    ( spl0_102
  <=> c2_1(a191) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f431,plain,
    ( spl0_52
  <=> ! [X94] :
        ( c2_1(X94)
        | ~ c0_1(X94)
        | c1_1(X94) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f986,plain,
    ( spl0_146
  <=> c0_1(a191) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f2076,plain,
    ( c2_1(a191)
    | c1_1(a191)
    | ~ spl0_52
    | ~ spl0_146 ),
    inference(resolution,[],[f432,f988]) ).

fof(f988,plain,
    ( c0_1(a191)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f986]) ).

fof(f432,plain,
    ( ! [X94] :
        ( ~ c0_1(X94)
        | c1_1(X94)
        | c2_1(X94) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f2069,plain,
    ( spl0_113
    | spl0_59
    | ~ spl0_16
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f2047,f387,f276,f462,f736]) ).

fof(f736,plain,
    ( spl0_113
  <=> c0_1(a197) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f462,plain,
    ( spl0_59
  <=> c2_1(a197) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f276,plain,
    ( spl0_16
  <=> c1_1(a197) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f387,plain,
    ( spl0_42
  <=> ! [X45] :
        ( ~ c1_1(X45)
        | c2_1(X45)
        | c0_1(X45) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f2047,plain,
    ( c2_1(a197)
    | c0_1(a197)
    | ~ spl0_16
    | ~ spl0_42 ),
    inference(resolution,[],[f388,f278]) ).

fof(f278,plain,
    ( c1_1(a197)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f388,plain,
    ( ! [X45] :
        ( ~ c1_1(X45)
        | c0_1(X45)
        | c2_1(X45) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f2068,plain,
    ( spl0_116
    | spl0_138
    | ~ spl0_42
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f2046,f556,f387,f890,f753]) ).

fof(f753,plain,
    ( spl0_116
  <=> c0_1(a193) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f890,plain,
    ( spl0_138
  <=> c2_1(a193) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f556,plain,
    ( spl0_79
  <=> c1_1(a193) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f2046,plain,
    ( c2_1(a193)
    | c0_1(a193)
    | ~ spl0_42
    | ~ spl0_79 ),
    inference(resolution,[],[f388,f558]) ).

fof(f558,plain,
    ( c1_1(a193)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f2060,plain,
    ( spl0_90
    | spl0_140
    | ~ spl0_42
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2048,f647,f387,f910,f613]) ).

fof(f613,plain,
    ( spl0_90
  <=> c2_1(a198) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f2048,plain,
    ( c0_1(a198)
    | c2_1(a198)
    | ~ spl0_42
    | ~ spl0_96 ),
    inference(resolution,[],[f388,f649]) ).

fof(f649,plain,
    ( c1_1(a198)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f2043,plain,
    ( spl0_111
    | spl0_150
    | ~ spl0_37
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2029,f760,f365,f1035,f726]) ).

fof(f726,plain,
    ( spl0_111
  <=> c0_1(a225) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1035,plain,
    ( spl0_150
  <=> c2_1(a225) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f365,plain,
    ( spl0_37
  <=> ! [X78] :
        ( c0_1(X78)
        | ~ c3_1(X78)
        | c2_1(X78) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f760,plain,
    ( spl0_117
  <=> c3_1(a225) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2029,plain,
    ( c2_1(a225)
    | c0_1(a225)
    | ~ spl0_37
    | ~ spl0_117 ),
    inference(resolution,[],[f366,f762]) ).

fof(f762,plain,
    ( c3_1(a225)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f366,plain,
    ( ! [X78] :
        ( ~ c3_1(X78)
        | c2_1(X78)
        | c0_1(X78) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f2041,plain,
    ( spl0_100
    | ~ spl0_37
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f2032,f441,f365,f670]) ).

fof(f670,plain,
    ( spl0_100
  <=> ! [X8] :
        ( c1_1(X8)
        | c0_1(X8)
        | c2_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f2032,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_37
    | ~ spl0_54 ),
    inference(duplicate_literal_removal,[],[f2020]) ).

fof(f2020,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_37
    | ~ spl0_54 ),
    inference(resolution,[],[f366,f442]) ).

fof(f2038,plain,
    ( spl0_155
    | spl0_114
    | ~ spl0_37
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2026,f674,f365,f742,f1230]) ).

fof(f1230,plain,
    ( spl0_155
  <=> c2_1(a209) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f742,plain,
    ( spl0_114
  <=> c0_1(a209) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f674,plain,
    ( spl0_101
  <=> c3_1(a209) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f2026,plain,
    ( c0_1(a209)
    | c2_1(a209)
    | ~ spl0_37
    | ~ spl0_101 ),
    inference(resolution,[],[f366,f676]) ).

fof(f676,plain,
    ( c3_1(a209)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f1993,plain,
    ( spl0_146
    | spl0_10
    | spl0_13
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1992,f441,f262,f248,f986]) ).

fof(f262,plain,
    ( spl0_13
  <=> c3_1(a191) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1992,plain,
    ( c1_1(a191)
    | c0_1(a191)
    | spl0_13
    | ~ spl0_54 ),
    inference(resolution,[],[f264,f442]) ).

fof(f264,plain,
    ( ~ c3_1(a191)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f1953,plain,
    ( spl0_108
    | ~ spl0_153
    | ~ spl0_26
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f1937,f359,f318,f1130,f710]) ).

fof(f710,plain,
    ( spl0_108
  <=> c1_1(a210) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1937,plain,
    ( ~ c0_1(a210)
    | c1_1(a210)
    | ~ spl0_26
    | ~ spl0_35 ),
    inference(resolution,[],[f360,f320]) ).

fof(f320,plain,
    ( c3_1(a210)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f1886,plain,
    ( spl0_51
    | spl0_143
    | ~ spl0_54
    | spl0_131 ),
    inference(avatar_split_clause,[],[f1885,f843,f441,f931,f426]) ).

fof(f426,plain,
    ( spl0_51
  <=> c0_1(a214) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1885,plain,
    ( c1_1(a214)
    | c0_1(a214)
    | ~ spl0_54
    | spl0_131 ),
    inference(resolution,[],[f845,f442]) ).

fof(f845,plain,
    ( ~ c3_1(a214)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f1816,plain,
    ( spl0_38
    | spl0_145
    | ~ spl0_54
    | spl0_60 ),
    inference(avatar_split_clause,[],[f1815,f467,f441,f981,f371]) ).

fof(f371,plain,
    ( spl0_38
  <=> c0_1(a206) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f981,plain,
    ( spl0_145
  <=> c1_1(a206) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f467,plain,
    ( spl0_60
  <=> c3_1(a206) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1815,plain,
    ( c1_1(a206)
    | c0_1(a206)
    | ~ spl0_54
    | spl0_60 ),
    inference(resolution,[],[f469,f442]) ).

fof(f469,plain,
    ( ~ c3_1(a206)
    | spl0_60 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f1814,plain,
    ( spl0_38
    | spl0_145
    | spl0_50
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1813,f670,f421,f981,f371]) ).

fof(f421,plain,
    ( spl0_50
  <=> c2_1(a206) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1813,plain,
    ( c1_1(a206)
    | c0_1(a206)
    | spl0_50
    | ~ spl0_100 ),
    inference(resolution,[],[f423,f671]) ).

fof(f671,plain,
    ( ! [X8] :
        ( c2_1(X8)
        | c0_1(X8)
        | c1_1(X8) )
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f423,plain,
    ( ~ c2_1(a206)
    | spl0_50 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f1803,plain,
    ( ~ spl0_134
    | spl0_89
    | ~ spl0_40
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f1787,f450,f380,f608,f862]) ).

fof(f862,plain,
    ( spl0_134
  <=> c0_1(a192) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f608,plain,
    ( spl0_89
  <=> c3_1(a192) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f450,plain,
    ( spl0_56
  <=> c1_1(a192) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1787,plain,
    ( c3_1(a192)
    | ~ c0_1(a192)
    | ~ spl0_40
    | ~ spl0_56 ),
    inference(resolution,[],[f381,f452]) ).

fof(f452,plain,
    ( c1_1(a192)
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f1741,plain,
    ( spl0_10
    | spl0_13
    | ~ spl0_58
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1738,f986,f458,f262,f248]) ).

fof(f458,plain,
    ( spl0_58
  <=> ! [X26] :
        ( ~ c0_1(X26)
        | c1_1(X26)
        | c3_1(X26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f1738,plain,
    ( c3_1(a191)
    | c1_1(a191)
    | ~ spl0_58
    | ~ spl0_146 ),
    inference(resolution,[],[f988,f459]) ).

fof(f459,plain,
    ( ! [X26] :
        ( ~ c0_1(X26)
        | c1_1(X26)
        | c3_1(X26) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f1694,plain,
    ( spl0_97
    | spl0_3
    | ~ spl0_58
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1692,f731,f458,f217,f654]) ).

fof(f654,plain,
    ( spl0_97
  <=> c3_1(a195) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f217,plain,
    ( spl0_3
  <=> c1_1(a195) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f731,plain,
    ( spl0_112
  <=> c0_1(a195) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1692,plain,
    ( c1_1(a195)
    | c3_1(a195)
    | ~ spl0_58
    | ~ spl0_112 ),
    inference(resolution,[],[f733,f459]) ).

fof(f733,plain,
    ( c0_1(a195)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f1679,plain,
    ( spl0_135
    | spl0_29
    | spl0_86
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1678,f670,f593,f331,f870]) ).

fof(f870,plain,
    ( spl0_135
  <=> c1_1(a221) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f331,plain,
    ( spl0_29
  <=> c0_1(a221) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f593,plain,
    ( spl0_86
  <=> c2_1(a221) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1678,plain,
    ( c0_1(a221)
    | c1_1(a221)
    | spl0_86
    | ~ spl0_100 ),
    inference(resolution,[],[f595,f671]) ).

fof(f595,plain,
    ( ~ c2_1(a221)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f1637,plain,
    ( spl0_111
    | spl0_68
    | ~ spl0_104
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1625,f760,f692,f509,f726]) ).

fof(f509,plain,
    ( spl0_68
  <=> c1_1(a225) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f692,plain,
    ( spl0_104
  <=> ! [X53] :
        ( ~ c3_1(X53)
        | c1_1(X53)
        | c0_1(X53) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1625,plain,
    ( c1_1(a225)
    | c0_1(a225)
    | ~ spl0_104
    | ~ spl0_117 ),
    inference(resolution,[],[f693,f762]) ).

fof(f693,plain,
    ( ! [X53] :
        ( ~ c3_1(X53)
        | c0_1(X53)
        | c1_1(X53) )
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f692]) ).

fof(f1634,plain,
    ( spl0_153
    | spl0_108
    | ~ spl0_26
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1622,f692,f318,f710,f1130]) ).

fof(f1622,plain,
    ( c1_1(a210)
    | c0_1(a210)
    | ~ spl0_26
    | ~ spl0_104 ),
    inference(resolution,[],[f693,f320]) ).

fof(f1592,plain,
    ( spl0_146
    | spl0_10
    | ~ spl0_100
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1577,f679,f670,f248,f986]) ).

fof(f1577,plain,
    ( c1_1(a191)
    | c0_1(a191)
    | ~ spl0_100
    | spl0_102 ),
    inference(resolution,[],[f671,f681]) ).

fof(f681,plain,
    ( ~ c2_1(a191)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f1574,plain,
    ( spl0_139
    | spl0_113
    | ~ spl0_16
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1551,f577,f276,f736,f898]) ).

fof(f898,plain,
    ( spl0_139
  <=> c3_1(a197) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f577,plain,
    ( spl0_83
  <=> ! [X46] :
        ( ~ c1_1(X46)
        | c0_1(X46)
        | c3_1(X46) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1551,plain,
    ( c0_1(a197)
    | c3_1(a197)
    | ~ spl0_16
    | ~ spl0_83 ),
    inference(resolution,[],[f578,f278]) ).

fof(f578,plain,
    ( ! [X46] :
        ( ~ c1_1(X46)
        | c0_1(X46)
        | c3_1(X46) )
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f1562,plain,
    ( spl0_38
    | spl0_60
    | ~ spl0_83
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1554,f981,f577,f467,f371]) ).

fof(f1554,plain,
    ( c3_1(a206)
    | c0_1(a206)
    | ~ spl0_83
    | ~ spl0_145 ),
    inference(resolution,[],[f578,f983]) ).

fof(f983,plain,
    ( c1_1(a206)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f981]) ).

fof(f1561,plain,
    ( spl0_116
    | spl0_95
    | ~ spl0_79
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1548,f577,f556,f642,f753]) ).

fof(f642,plain,
    ( spl0_95
  <=> c3_1(a193) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1548,plain,
    ( c3_1(a193)
    | c0_1(a193)
    | ~ spl0_79
    | ~ spl0_83 ),
    inference(resolution,[],[f578,f558]) ).

fof(f1536,plain,
    ( spl0_51
    | spl0_131
    | ~ spl0_82
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1527,f664,f574,f843,f426]) ).

fof(f574,plain,
    ( spl0_82
  <=> ! [X47] :
        ( ~ c2_1(X47)
        | c0_1(X47)
        | c3_1(X47) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1527,plain,
    ( c3_1(a214)
    | c0_1(a214)
    | ~ spl0_82
    | ~ spl0_99 ),
    inference(resolution,[],[f575,f666]) ).

fof(f575,plain,
    ( ! [X47] :
        ( ~ c2_1(X47)
        | c3_1(X47)
        | c0_1(X47) )
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f574]) ).

fof(f1422,plain,
    ( spl0_142
    | spl0_66
    | ~ spl0_72
    | spl0_98 ),
    inference(avatar_split_clause,[],[f1403,f659,f526,f497,f923]) ).

fof(f1403,plain,
    ( c1_1(a194)
    | c3_1(a194)
    | ~ spl0_72
    | spl0_98 ),
    inference(resolution,[],[f527,f661]) ).

fof(f661,plain,
    ( ~ c2_1(a194)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f659]) ).

fof(f1420,plain,
    ( spl0_60
    | spl0_145
    | spl0_50
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1407,f526,f421,f981,f467]) ).

fof(f1407,plain,
    ( c1_1(a206)
    | c3_1(a206)
    | spl0_50
    | ~ spl0_72 ),
    inference(resolution,[],[f527,f423]) ).

fof(f1418,plain,
    ( spl0_10
    | spl0_13
    | ~ spl0_72
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1401,f679,f526,f262,f248]) ).

fof(f1401,plain,
    ( c3_1(a191)
    | c1_1(a191)
    | ~ spl0_72
    | spl0_102 ),
    inference(resolution,[],[f527,f681]) ).

fof(f1386,plain,
    ( spl0_144
    | ~ spl0_106
    | ~ spl0_77
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1376,f795,f547,f701,f952]) ).

fof(f1376,plain,
    ( ~ c3_1(a215)
    | c0_1(a215)
    | ~ spl0_77
    | ~ spl0_123 ),
    inference(resolution,[],[f548,f797]) ).

fof(f1382,plain,
    ( ~ spl0_117
    | spl0_111
    | ~ spl0_77
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1373,f1035,f547,f726,f760]) ).

fof(f1373,plain,
    ( c0_1(a225)
    | ~ c3_1(a225)
    | ~ spl0_77
    | ~ spl0_150 ),
    inference(resolution,[],[f548,f1037]) ).

fof(f1037,plain,
    ( c2_1(a225)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1035]) ).

fof(f1325,plain,
    ( ~ spl0_30
    | spl0_114
    | ~ spl0_36
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1324,f1230,f362,f742,f336]) ).

fof(f336,plain,
    ( spl0_30
  <=> c1_1(a209) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f362,plain,
    ( spl0_36
  <=> ! [X76] :
        ( ~ c2_1(X76)
        | c0_1(X76)
        | ~ c1_1(X76) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1324,plain,
    ( c0_1(a209)
    | ~ c1_1(a209)
    | ~ spl0_36
    | ~ spl0_155 ),
    inference(resolution,[],[f1232,f363]) ).

fof(f363,plain,
    ( ! [X76] :
        ( ~ c2_1(X76)
        | ~ c1_1(X76)
        | c0_1(X76) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f1232,plain,
    ( c2_1(a209)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1230]) ).

fof(f1306,plain,
    ( ~ spl0_64
    | spl0_144
    | ~ spl0_71
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1300,f701,f523,f952,f488]) ).

fof(f523,plain,
    ( spl0_71
  <=> ! [X29] :
        ( ~ c3_1(X29)
        | ~ c1_1(X29)
        | c0_1(X29) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1300,plain,
    ( c0_1(a215)
    | ~ c1_1(a215)
    | ~ spl0_71
    | ~ spl0_106 ),
    inference(resolution,[],[f524,f703]) ).

fof(f524,plain,
    ( ! [X29] :
        ( ~ c3_1(X29)
        | ~ c1_1(X29)
        | c0_1(X29) )
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f523]) ).

fof(f1303,plain,
    ( ~ spl0_30
    | spl0_114
    | ~ spl0_71
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1295,f674,f523,f742,f336]) ).

fof(f1295,plain,
    ( c0_1(a209)
    | ~ c1_1(a209)
    | ~ spl0_71
    | ~ spl0_101 ),
    inference(resolution,[],[f524,f676]) ).

fof(f1291,plain,
    ( spl0_151
    | spl0_115
    | ~ spl0_58
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1278,f828,f458,f748,f1061]) ).

fof(f1278,plain,
    ( c3_1(a190)
    | c1_1(a190)
    | ~ spl0_58
    | ~ spl0_128 ),
    inference(resolution,[],[f459,f830]) ).

fof(f830,plain,
    ( c0_1(a190)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f1250,plain,
    ( spl0_93
    | spl0_152
    | ~ spl0_21
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1242,f431,f296,f1103,f630]) ).

fof(f1242,plain,
    ( c2_1(a200)
    | c1_1(a200)
    | ~ spl0_21
    | ~ spl0_52 ),
    inference(resolution,[],[f432,f298]) ).

fof(f298,plain,
    ( c0_1(a200)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f296]) ).

fof(f1246,plain,
    ( spl0_66
    | spl0_98
    | ~ spl0_52
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1240,f603,f431,f659,f497]) ).

fof(f1240,plain,
    ( c2_1(a194)
    | c1_1(a194)
    | ~ spl0_52
    | ~ spl0_88 ),
    inference(resolution,[],[f432,f605]) ).

fof(f605,plain,
    ( c0_1(a194)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f603]) ).

fof(f1226,plain,
    ( ~ spl0_143
    | spl0_51
    | ~ spl0_36
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1218,f664,f362,f426,f931]) ).

fof(f1218,plain,
    ( c0_1(a214)
    | ~ c1_1(a214)
    | ~ spl0_36
    | ~ spl0_99 ),
    inference(resolution,[],[f363,f666]) ).

fof(f1225,plain,
    ( spl0_116
    | ~ spl0_79
    | ~ spl0_36
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1214,f890,f362,f556,f753]) ).

fof(f1214,plain,
    ( ~ c1_1(a193)
    | c0_1(a193)
    | ~ spl0_36
    | ~ spl0_138 ),
    inference(resolution,[],[f363,f892]) ).

fof(f892,plain,
    ( c2_1(a193)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f890]) ).

fof(f1177,plain,
    ( spl0_59
    | spl0_113
    | ~ spl0_37
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1176,f898,f365,f736,f462]) ).

fof(f1176,plain,
    ( c0_1(a197)
    | c2_1(a197)
    | ~ spl0_37
    | ~ spl0_139 ),
    inference(resolution,[],[f900,f366]) ).

fof(f900,plain,
    ( c3_1(a197)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f898]) ).

fof(f1125,plain,
    ( spl0_67
    | spl0_74
    | ~ spl0_73
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1117,f833,f530,f534,f504]) ).

fof(f530,plain,
    ( spl0_73
  <=> ! [X82] :
        ( c1_1(X82)
        | c0_1(X82)
        | ~ c2_1(X82) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1117,plain,
    ( c1_1(a199)
    | c0_1(a199)
    | ~ spl0_73
    | ~ spl0_129 ),
    inference(resolution,[],[f531,f835]) ).

fof(f531,plain,
    ( ! [X82] :
        ( ~ c2_1(X82)
        | c0_1(X82)
        | c1_1(X82) )
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f1124,plain,
    ( spl0_143
    | spl0_51
    | ~ spl0_73
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1118,f664,f530,f426,f931]) ).

fof(f1118,plain,
    ( c0_1(a214)
    | c1_1(a214)
    | ~ spl0_73
    | ~ spl0_99 ),
    inference(resolution,[],[f531,f666]) ).

fof(f1121,plain,
    ( spl0_111
    | spl0_68
    | ~ spl0_73
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1119,f1035,f530,f509,f726]) ).

fof(f1119,plain,
    ( c1_1(a225)
    | c0_1(a225)
    | ~ spl0_73
    | ~ spl0_150 ),
    inference(resolution,[],[f531,f1037]) ).

fof(f1032,plain,
    ( spl0_115
    | ~ spl0_128
    | ~ spl0_55
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1031,f721,f445,f828,f748]) ).

fof(f1031,plain,
    ( ~ c0_1(a190)
    | c3_1(a190)
    | ~ spl0_55
    | ~ spl0_110 ),
    inference(resolution,[],[f723,f446]) ).

fof(f881,plain,
    ( spl0_39
    | ~ spl0_11
    | spl0_32
    | spl0_77 ),
    inference(avatar_split_clause,[],[f136,f547,f345,f253,f376]) ).

fof(f376,plain,
    ( spl0_39
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f253,plain,
    ( spl0_11
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f345,plain,
    ( spl0_32
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f136,plain,
    ! [X24] :
      ( ~ c3_1(X24)
      | c0_1(X24)
      | hskp8
      | ~ c2_1(X24)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ( ! [X0] :
          ( ~ ndr1_0
          | ~ c0_1(X0)
          | c3_1(X0)
          | c2_1(X0) )
      | hskp10
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c3_1(X1)
          | c2_1(X1)
          | c0_1(X1) ) )
    & ( ( ~ c1_1(a200)
        & c3_1(a200)
        & ndr1_0
        & c0_1(a200) )
      | ~ hskp10 )
    & ( hskp14
      | hskp7
      | hskp9 )
    & ( hskp2
      | hskp23
      | hskp9 )
    & ( ! [X2] :
          ( c3_1(X2)
          | ~ ndr1_0
          | c1_1(X2)
          | ~ c0_1(X2) )
      | hskp18
      | hskp17 )
    & ( hskp10
      | hskp24
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c0_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( ! [X4] :
          ( c1_1(X4)
          | c3_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 )
      | hskp15
      | ! [X5] :
          ( ~ ndr1_0
          | c2_1(X5)
          | c3_1(X5)
          | ~ c1_1(X5) ) )
    & ( ( c3_1(a198)
        & c1_1(a198)
        & ndr1_0
        & ~ c2_1(a198) )
      | ~ hskp8 )
    & ( ! [X6] :
          ( c2_1(X6)
          | c3_1(X6)
          | c1_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ ndr1_0
          | c0_1(X7)
          | c2_1(X7) )
      | ! [X8] :
          ( c2_1(X8)
          | c1_1(X8)
          | ~ ndr1_0
          | c0_1(X8) ) )
    & ( ! [X9] :
          ( ~ ndr1_0
          | ~ c1_1(X9)
          | c3_1(X9)
          | c2_1(X9) )
      | hskp3
      | hskp12 )
    & ( ! [X10] :
          ( ~ c0_1(X10)
          | c2_1(X10)
          | ~ ndr1_0
          | ~ c1_1(X10) )
      | hskp12
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ ndr1_0
          | c3_1(X11)
          | ~ c2_1(X11) ) )
    & ( ( c2_1(a190)
        & c0_1(a190)
        & ndr1_0
        & ~ c3_1(a190) )
      | ~ hskp1 )
    & ( ! [X12] :
          ( c2_1(X12)
          | ~ ndr1_0
          | ~ c1_1(X12)
          | c0_1(X12) )
      | hskp8
      | hskp9 )
    & ( hskp12
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ ndr1_0
          | ~ c0_1(X13)
          | c3_1(X13) )
      | ! [X14] :
          ( ~ c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0
          | c0_1(X14) ) )
    & ( ( ~ c2_1(a223)
        & c3_1(a223)
        & ndr1_0
        & ~ c1_1(a223) )
      | ~ hskp18 )
    & ( ( ~ c2_1(a221)
        & ~ c1_1(a221)
        & ~ c0_1(a221)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ! [X15] :
          ( c3_1(X15)
          | ~ ndr1_0
          | ~ c2_1(X15)
          | ~ c0_1(X15) )
      | ! [X16] :
          ( ~ ndr1_0
          | c2_1(X16)
          | ~ c0_1(X16)
          | c1_1(X16) )
      | hskp1 )
    & ( ! [X17] :
          ( ~ c3_1(X17)
          | ~ ndr1_0
          | c1_1(X17)
          | c2_1(X17) )
      | ! [X18] :
          ( ~ c0_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X19] :
          ( ~ c2_1(X19)
          | ~ ndr1_0
          | c1_1(X19)
          | ~ c3_1(X19) )
      | ! [X20] :
          ( ~ ndr1_0
          | c3_1(X20)
          | ~ c1_1(X20)
          | ~ c0_1(X20) )
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c0_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c0_1(X22)
          | ~ c1_1(X22)
          | ~ c2_1(X22) )
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c2_1(X23)
          | c0_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp8
      | ! [X24] :
          ( c0_1(X24)
          | ~ c2_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( ~ ndr1_0
          | ~ c1_1(X25)
          | ~ c3_1(X25)
          | ~ c0_1(X25) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c0_1(X26)
          | c3_1(X26)
          | c1_1(X26) )
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c2_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( c1_1(X28)
          | c2_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | hskp10
      | ! [X29] :
          ( ~ c1_1(X29)
          | ~ ndr1_0
          | ~ c3_1(X29)
          | c0_1(X29) ) )
    & ( ( ~ c3_1(a195)
        & ndr1_0
        & c0_1(a195)
        & ~ c1_1(a195) )
      | ~ hskp6 )
    & ( ! [X30] :
          ( ~ c3_1(X30)
          | ~ ndr1_0
          | c0_1(X30)
          | ~ c2_1(X30) )
      | ! [X31] :
          ( ~ c3_1(X31)
          | c1_1(X31)
          | ~ c2_1(X31)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ( ~ c1_1(a257)
        & ndr1_0
        & ~ c3_1(a257)
        & c2_1(a257) )
      | ~ hskp21 )
    & ( ! [X32] :
          ( c2_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c1_1(X33)
          | c0_1(X33)
          | ~ c2_1(X33) )
      | hskp2 )
    & ( hskp9
      | hskp7
      | ! [X34] :
          ( ~ c0_1(X34)
          | ~ ndr1_0
          | c3_1(X34)
          | ~ c1_1(X34) ) )
    & ( ! [X35] :
          ( c3_1(X35)
          | ~ ndr1_0
          | ~ c0_1(X35)
          | ~ c1_1(X35) )
      | hskp7
      | hskp4 )
    & ( hskp20
      | ! [X36] :
          ( c2_1(X36)
          | ~ c0_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X37] :
          ( ~ ndr1_0
          | c2_1(X37)
          | c3_1(X37)
          | ~ c0_1(X37) )
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c1_1(X38)
          | ~ c3_1(X38)
          | ~ c2_1(X38) )
      | hskp13 )
    & ( ~ hskp17
      | ( c2_1(a222)
        & c1_1(a222)
        & ndr1_0
        & ~ c3_1(a222) ) )
    & ( ! [X39] :
          ( ~ c2_1(X39)
          | c3_1(X39)
          | ~ ndr1_0
          | ~ c0_1(X39) )
      | ! [X40] :
          ( ~ c2_1(X40)
          | c1_1(X40)
          | c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ ndr1_0
          | c0_1(X41)
          | c2_1(X41)
          | ~ c3_1(X41) ) )
    & ( ! [X42] :
          ( ~ c1_1(X42)
          | c0_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | c2_1(X43)
          | ~ ndr1_0
          | ~ c1_1(X43) )
      | hskp0 )
    & ( hskp7
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c2_1(X44)
          | ~ c1_1(X44)
          | ~ c3_1(X44) )
      | ! [X45] :
          ( ~ c1_1(X45)
          | c0_1(X45)
          | c2_1(X45)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c3_1(a209)
        & c1_1(a209)
        & ~ c0_1(a209) )
      | ~ hskp13 )
    & ( ~ hskp4
      | ( ~ c0_1(a193)
        & ndr1_0
        & c1_1(a193)
        & ~ c3_1(a193) ) )
    & ( ! [X46] :
          ( ~ ndr1_0
          | c3_1(X46)
          | ~ c1_1(X46)
          | c0_1(X46) )
      | ! [X47] :
          ( c3_1(X47)
          | ~ c2_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 )
      | hskp5 )
    & ( hskp14
      | hskp12
      | hskp15 )
    & ( ~ hskp25
      | ( c0_1(a230)
        & ndr1_0
        & c2_1(a230)
        & c1_1(a230) ) )
    & ( ! [X48] :
          ( c3_1(X48)
          | c0_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c3_1(X49)
          | ~ ndr1_0
          | c2_1(X49)
          | ~ c0_1(X49) )
      | ! [X50] :
          ( ~ c2_1(X50)
          | ~ ndr1_0
          | ~ c1_1(X50)
          | ~ c0_1(X50) ) )
    & ( ! [X51] :
          ( ~ ndr1_0
          | c2_1(X51)
          | ~ c1_1(X51)
          | ~ c0_1(X51) )
      | hskp16
      | hskp25 )
    & ( hskp1
      | hskp2
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c0_1(X52)
          | ~ ndr1_0
          | ~ c1_1(X52) ) )
    & ( hskp4
      | hskp3
      | ! [X53] :
          ( ~ c3_1(X53)
          | c1_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( ~ hskp22
      | ( ~ c2_1(a259)
        & c3_1(a259)
        & ndr1_0
        & ~ c0_1(a259) ) )
    & ( ~ hskp0
      | ( ndr1_0
        & ~ c1_1(a188)
        & ~ c3_1(a188)
        & ~ c0_1(a188) ) )
    & ( ! [X54] :
          ( c2_1(X54)
          | ~ c0_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ ndr1_0
          | c2_1(X55)
          | c0_1(X55)
          | c1_1(X55) )
      | hskp0 )
    & ( hskp1
      | ! [X56] :
          ( c1_1(X56)
          | c3_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( ~ c0_1(X57)
          | c2_1(X57)
          | ~ ndr1_0
          | ~ c1_1(X57) )
      | hskp24
      | ! [X58] :
          ( c1_1(X58)
          | ~ ndr1_0
          | ~ c2_1(X58)
          | c3_1(X58) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c3_1(a192)
        & c0_1(a192)
        & c1_1(a192) ) )
    & ( ! [X59] :
          ( c3_1(X59)
          | c1_1(X59)
          | ~ ndr1_0
          | c0_1(X59) )
      | ! [X60] :
          ( c2_1(X60)
          | c0_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ( ndr1_0
        & ~ c3_1(a206)
        & ~ c0_1(a206)
        & ~ c2_1(a206) )
      | ~ hskp12 )
    & ( hskp19
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c2_1(X61)
          | c3_1(X61)
          | c1_1(X61) )
      | ! [X62] :
          ( c3_1(X62)
          | ~ c0_1(X62)
          | ~ c2_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp25
      | hskp2 )
    & ( hskp6
      | ! [X63] :
          ( ~ c1_1(X63)
          | ~ c2_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c2_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0 ) )
    & ( ( c0_1(a202)
        & ~ c3_1(a202)
        & ~ c2_1(a202)
        & ndr1_0 )
      | ~ hskp11 )
    & ( hskp15
      | hskp5
      | hskp21 )
    & ( ~ hskp7
      | ( ~ c2_1(a197)
        & c1_1(a197)
        & ~ c0_1(a197)
        & ndr1_0 ) )
    & ( hskp16
      | ! [X65] :
          ( c1_1(X65)
          | c3_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ( ndr1_0
        & ~ c0_1(a225)
        & ~ c1_1(a225)
        & c3_1(a225) )
      | ~ hskp19 )
    & ( ! [X66] :
          ( ~ c0_1(X66)
          | ~ ndr1_0
          | c3_1(X66)
          | ~ c1_1(X66) )
      | ! [X67] :
          ( ~ ndr1_0
          | c2_1(X67)
          | c1_1(X67)
          | ~ c3_1(X67) )
      | hskp13 )
    & ( ! [X68] :
          ( ~ c1_1(X68)
          | ~ ndr1_0
          | ~ c2_1(X68)
          | c3_1(X68) )
      | ! [X69] :
          ( c2_1(X69)
          | ~ ndr1_0
          | ~ c0_1(X69)
          | c3_1(X69) )
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c0_1(X70)
          | ~ c1_1(X70)
          | ~ c3_1(X70) ) )
    & ( ~ hskp20
      | ( ~ c0_1(a233)
        & ndr1_0
        & c3_1(a233)
        & c2_1(a233) ) )
    & ( hskp22
      | hskp2
      | hskp24 )
    & ( hskp6
      | ! [X71] :
          ( ~ ndr1_0
          | c0_1(X71)
          | c2_1(X71)
          | c3_1(X71) ) )
    & ( hskp9
      | ! [X72] :
          ( ~ ndr1_0
          | c0_1(X72)
          | ~ c2_1(X72)
          | c3_1(X72) )
      | hskp11 )
    & ( ! [X73] :
          ( ~ c1_1(X73)
          | c0_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c1_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0
          | c2_1(X74) )
      | ! [X75] :
          ( c0_1(X75)
          | ~ ndr1_0
          | c1_1(X75)
          | ~ c2_1(X75) ) )
    & ( ( ~ c1_1(a199)
        & c2_1(a199)
        & ~ c0_1(a199)
        & ndr1_0 )
      | ~ hskp9 )
    & ( hskp0
      | hskp9
      | hskp1 )
    & ( ~ hskp23
      | ( c0_1(a189)
        & ndr1_0
        & c1_1(a189)
        & c3_1(a189) ) )
    & ( ! [X76] :
          ( ~ ndr1_0
          | ~ c1_1(X76)
          | ~ c2_1(X76)
          | c0_1(X76) )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c1_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | ~ ndr1_0
          | c0_1(X78)
          | c2_1(X78) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c3_1(a215)
        & c2_1(a215)
        & c1_1(a215) ) )
    & ( hskp13
      | ! [X79] :
          ( ~ c3_1(X79)
          | ~ c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c3_1(X80)
          | ~ ndr1_0
          | c2_1(X80)
          | c1_1(X80) ) )
    & ( ! [X81] :
          ( c2_1(X81)
          | c1_1(X81)
          | ~ ndr1_0
          | ~ c0_1(X81) )
      | ! [X82] :
          ( c0_1(X82)
          | c1_1(X82)
          | ~ ndr1_0
          | ~ c2_1(X82) )
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c3_1(X83)
          | c0_1(X83)
          | ~ c1_1(X83) ) )
    & ( ! [X84] :
          ( c2_1(X84)
          | ~ c0_1(X84)
          | c3_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c2_1(X85)
          | ~ ndr1_0
          | ~ c1_1(X85)
          | ~ c0_1(X85) )
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c2_1(X86)
          | ~ c0_1(X86)
          | c1_1(X86) ) )
    & ( ( c2_1(a210)
        & ~ c1_1(a210)
        & c3_1(a210)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a191)
        & ~ c2_1(a191)
        & ndr1_0
        & ~ c1_1(a191) )
      | ~ hskp2 )
    & ( hskp6
      | ! [X87] :
          ( c3_1(X87)
          | c0_1(X87)
          | ~ ndr1_0
          | c2_1(X87) )
      | hskp5 )
    & ( ~ hskp15
      | ( ~ c3_1(a214)
        & ~ c0_1(a214)
        & c2_1(a214)
        & ndr1_0 ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a194)
        & ~ c2_1(a194)
        & ~ c1_1(a194) ) )
    & ( ! [X88] :
          ( ~ ndr1_0
          | c3_1(X88)
          | ~ c1_1(X88)
          | ~ c0_1(X88) )
      | ! [X89] :
          ( c0_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0
          | c1_1(X89) )
      | hskp2 )
    & ( ! [X90] :
          ( ~ ndr1_0
          | c2_1(X90)
          | c1_1(X90)
          | ~ c0_1(X90) )
      | ! [X91] :
          ( c3_1(X91)
          | c2_1(X91)
          | ~ c0_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c1_1(X92)
          | ~ c0_1(X92)
          | ~ c2_1(X92) ) )
    & ( ! [X93] :
          ( ~ ndr1_0
          | ~ c0_1(X93)
          | c1_1(X93)
          | ~ c3_1(X93) )
      | hskp24
      | ! [X94] :
          ( c2_1(X94)
          | ~ ndr1_0
          | c1_1(X94)
          | ~ c0_1(X94) ) )
    & ( ! [X95] :
          ( ~ c3_1(X95)
          | ~ c2_1(X95)
          | ~ c0_1(X95)
          | ~ ndr1_0 )
      | hskp23
      | hskp5 )
    & ( hskp16
      | ! [X96] :
          ( ~ c3_1(X96)
          | ~ ndr1_0
          | ~ c2_1(X96)
          | ~ c0_1(X96) )
      | hskp12 )
    & ( hskp9
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c3_1(X97)
          | ~ c1_1(X97)
          | ~ c0_1(X97) )
      | ! [X98] :
          ( ~ c0_1(X98)
          | c2_1(X98)
          | c1_1(X98)
          | ~ ndr1_0 ) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,plain,
    ( ( ! [X64] :
          ( ~ ndr1_0
          | ~ c0_1(X64)
          | c3_1(X64)
          | c2_1(X64) )
      | hskp10
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c3_1(X65)
          | c2_1(X65)
          | c0_1(X65) ) )
    & ( ( ~ c1_1(a200)
        & c3_1(a200)
        & ndr1_0
        & c0_1(a200) )
      | ~ hskp10 )
    & ( hskp14
      | hskp7
      | hskp9 )
    & ( hskp2
      | hskp23
      | hskp9 )
    & ( ! [X30] :
          ( c3_1(X30)
          | ~ ndr1_0
          | c1_1(X30)
          | ~ c0_1(X30) )
      | hskp18
      | hskp17 )
    & ( hskp10
      | hskp24
      | ! [X24] :
          ( ~ c2_1(X24)
          | ~ c0_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( c1_1(X46)
          | c3_1(X46)
          | c2_1(X46)
          | ~ ndr1_0 )
      | hskp15
      | ! [X47] :
          ( ~ ndr1_0
          | c2_1(X47)
          | c3_1(X47)
          | ~ c1_1(X47) ) )
    & ( ( c3_1(a198)
        & c1_1(a198)
        & ndr1_0
        & ~ c2_1(a198) )
      | ~ hskp8 )
    & ( ! [X1] :
          ( c2_1(X1)
          | c3_1(X1)
          | c1_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ ndr1_0
          | c0_1(X2)
          | c2_1(X2) )
      | ! [X0] :
          ( c2_1(X0)
          | c1_1(X0)
          | ~ ndr1_0
          | c0_1(X0) ) )
    & ( ! [X91] :
          ( ~ ndr1_0
          | ~ c1_1(X91)
          | c3_1(X91)
          | c2_1(X91) )
      | hskp3
      | hskp12 )
    & ( ! [X40] :
          ( ~ c0_1(X40)
          | c2_1(X40)
          | ~ ndr1_0
          | ~ c1_1(X40) )
      | hskp12
      | ! [X41] :
          ( ~ c1_1(X41)
          | ~ ndr1_0
          | c3_1(X41)
          | ~ c2_1(X41) ) )
    & ( ( c2_1(a190)
        & c0_1(a190)
        & ndr1_0
        & ~ c3_1(a190) )
      | ~ hskp1 )
    & ( ! [X63] :
          ( c2_1(X63)
          | ~ ndr1_0
          | ~ c1_1(X63)
          | c0_1(X63) )
      | hskp8
      | hskp9 )
    & ( hskp12
      | ! [X69] :
          ( ~ c1_1(X69)
          | ~ ndr1_0
          | ~ c0_1(X69)
          | c3_1(X69) )
      | ! [X68] :
          ( ~ c1_1(X68)
          | ~ c2_1(X68)
          | ~ ndr1_0
          | c0_1(X68) ) )
    & ( ( ~ c2_1(a223)
        & c3_1(a223)
        & ndr1_0
        & ~ c1_1(a223) )
      | ~ hskp18 )
    & ( ( ~ c2_1(a221)
        & ~ c1_1(a221)
        & ~ c0_1(a221)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ! [X7] :
          ( c3_1(X7)
          | ~ ndr1_0
          | ~ c2_1(X7)
          | ~ c0_1(X7) )
      | ! [X8] :
          ( ~ ndr1_0
          | c2_1(X8)
          | ~ c0_1(X8)
          | c1_1(X8) )
      | hskp1 )
    & ( ! [X74] :
          ( ~ c3_1(X74)
          | ~ ndr1_0
          | c1_1(X74)
          | c2_1(X74) )
      | ! [X73] :
          ( ~ c0_1(X73)
          | c3_1(X73)
          | c2_1(X73)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X93] :
          ( ~ c2_1(X93)
          | ~ ndr1_0
          | c1_1(X93)
          | ~ c3_1(X93) )
      | ! [X92] :
          ( ~ ndr1_0
          | c3_1(X92)
          | ~ c1_1(X92)
          | ~ c0_1(X92) )
      | ! [X94] :
          ( ~ c3_1(X94)
          | ~ c0_1(X94)
          | c2_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c0_1(X23)
          | ~ c1_1(X23)
          | ~ c2_1(X23) )
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c0_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp8
      | ! [X82] :
          ( c0_1(X82)
          | ~ c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( ~ ndr1_0
          | ~ c1_1(X37)
          | ~ c3_1(X37)
          | ~ c0_1(X37) )
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c0_1(X38)
          | c3_1(X38)
          | c1_1(X38) )
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c2_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 ) )
    & ( ! [X5] :
          ( c1_1(X5)
          | c2_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 )
      | hskp10
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ ndr1_0
          | ~ c3_1(X6)
          | c0_1(X6) ) )
    & ( ( ~ c3_1(a195)
        & ndr1_0
        & c0_1(a195)
        & ~ c1_1(a195) )
      | ~ hskp6 )
    & ( ! [X96] :
          ( ~ c3_1(X96)
          | ~ ndr1_0
          | c0_1(X96)
          | ~ c2_1(X96) )
      | ! [X95] :
          ( ~ c3_1(X95)
          | c1_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ( ~ c1_1(a257)
        & ndr1_0
        & ~ c3_1(a257)
        & c2_1(a257) )
      | ~ hskp21 )
    & ( ! [X51] :
          ( c2_1(X51)
          | ~ c0_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ c2_1(X50) )
      | hskp2 )
    & ( hskp9
      | hskp7
      | ! [X31] :
          ( ~ c0_1(X31)
          | ~ ndr1_0
          | c3_1(X31)
          | ~ c1_1(X31) ) )
    & ( ! [X83] :
          ( c3_1(X83)
          | ~ ndr1_0
          | ~ c0_1(X83)
          | ~ c1_1(X83) )
      | hskp7
      | hskp4 )
    & ( hskp20
      | ! [X97] :
          ( c2_1(X97)
          | ~ c0_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X42] :
          ( ~ ndr1_0
          | c2_1(X42)
          | c3_1(X42)
          | ~ c0_1(X42) )
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c1_1(X43)
          | ~ c3_1(X43)
          | ~ c2_1(X43) )
      | hskp13 )
    & ( ~ hskp17
      | ( c2_1(a222)
        & c1_1(a222)
        & ndr1_0
        & ~ c3_1(a222) ) )
    & ( ! [X87] :
          ( ~ c2_1(X87)
          | c3_1(X87)
          | ~ ndr1_0
          | ~ c0_1(X87) )
      | ! [X88] :
          ( ~ c2_1(X88)
          | c1_1(X88)
          | c3_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ ndr1_0
          | c0_1(X89)
          | c2_1(X89)
          | ~ c3_1(X89) ) )
    & ( ! [X61] :
          ( ~ c1_1(X61)
          | c0_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c3_1(X62)
          | c2_1(X62)
          | ~ ndr1_0
          | ~ c1_1(X62) )
      | hskp0 )
    & ( hskp7
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c2_1(X45)
          | ~ c1_1(X45)
          | ~ c3_1(X45) )
      | ! [X44] :
          ( ~ c1_1(X44)
          | c0_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c3_1(a209)
        & c1_1(a209)
        & ~ c0_1(a209) )
      | ~ hskp13 )
    & ( ~ hskp4
      | ( ~ c0_1(a193)
        & ndr1_0
        & c1_1(a193)
        & ~ c3_1(a193) ) )
    & ( ! [X33] :
          ( ~ ndr1_0
          | c3_1(X33)
          | ~ c1_1(X33)
          | c0_1(X33) )
      | ! [X32] :
          ( c3_1(X32)
          | ~ c2_1(X32)
          | c0_1(X32)
          | ~ ndr1_0 )
      | hskp5 )
    & ( hskp14
      | hskp12
      | hskp15 )
    & ( ~ hskp25
      | ( c0_1(a230)
        & ndr1_0
        & c2_1(a230)
        & c1_1(a230) ) )
    & ( ! [X34] :
          ( c3_1(X34)
          | c0_1(X34)
          | ~ c2_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c3_1(X35)
          | ~ ndr1_0
          | c2_1(X35)
          | ~ c0_1(X35) )
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ ndr1_0
          | ~ c1_1(X36)
          | ~ c0_1(X36) ) )
    & ( ! [X57] :
          ( ~ ndr1_0
          | c2_1(X57)
          | ~ c1_1(X57)
          | ~ c0_1(X57) )
      | hskp16
      | hskp25 )
    & ( hskp1
      | hskp2
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0
          | ~ c1_1(X27) ) )
    & ( hskp4
      | hskp3
      | ! [X9] :
          ( ~ c3_1(X9)
          | c1_1(X9)
          | c0_1(X9)
          | ~ ndr1_0 ) )
    & ( ~ hskp22
      | ( ~ c2_1(a259)
        & c3_1(a259)
        & ndr1_0
        & ~ c0_1(a259) ) )
    & ( ~ hskp0
      | ( ndr1_0
        & ~ c1_1(a188)
        & ~ c3_1(a188)
        & ~ c0_1(a188) ) )
    & ( ! [X53] :
          ( c2_1(X53)
          | ~ c0_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ ndr1_0
          | c2_1(X52)
          | c0_1(X52)
          | c1_1(X52) )
      | hskp0 )
    & ( hskp1
      | ! [X90] :
          ( c1_1(X90)
          | c3_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( ~ c0_1(X86)
          | c2_1(X86)
          | ~ ndr1_0
          | ~ c1_1(X86) )
      | hskp24
      | ! [X85] :
          ( c1_1(X85)
          | ~ ndr1_0
          | ~ c2_1(X85)
          | c3_1(X85) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c3_1(a192)
        & c0_1(a192)
        & c1_1(a192) ) )
    & ( ! [X48] :
          ( c3_1(X48)
          | c1_1(X48)
          | ~ ndr1_0
          | c0_1(X48) )
      | ! [X49] :
          ( c2_1(X49)
          | c0_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ( ndr1_0
        & ~ c3_1(a206)
        & ~ c0_1(a206)
        & ~ c2_1(a206) )
      | ~ hskp12 )
    & ( hskp19
      | ! [X3] :
          ( ~ ndr1_0
          | ~ c2_1(X3)
          | c3_1(X3)
          | c1_1(X3) )
      | ! [X4] :
          ( c3_1(X4)
          | ~ c0_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp25
      | hskp2 )
    & ( hskp6
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c2_1(X10)
          | c0_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c2_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 ) )
    & ( ( c0_1(a202)
        & ~ c3_1(a202)
        & ~ c2_1(a202)
        & ndr1_0 )
      | ~ hskp11 )
    & ( hskp15
      | hskp5
      | hskp21 )
    & ( ~ hskp7
      | ( ~ c2_1(a197)
        & c1_1(a197)
        & ~ c0_1(a197)
        & ndr1_0 ) )
    & ( hskp16
      | ! [X54] :
          ( c1_1(X54)
          | c3_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ( ndr1_0
        & ~ c0_1(a225)
        & ~ c1_1(a225)
        & c3_1(a225) )
      | ~ hskp19 )
    & ( ! [X55] :
          ( ~ c0_1(X55)
          | ~ ndr1_0
          | c3_1(X55)
          | ~ c1_1(X55) )
      | ! [X56] :
          ( ~ ndr1_0
          | c2_1(X56)
          | c1_1(X56)
          | ~ c3_1(X56) )
      | hskp13 )
    & ( ! [X17] :
          ( ~ c1_1(X17)
          | ~ ndr1_0
          | ~ c2_1(X17)
          | c3_1(X17) )
      | ! [X18] :
          ( c2_1(X18)
          | ~ ndr1_0
          | ~ c0_1(X18)
          | c3_1(X18) )
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c0_1(X19)
          | ~ c1_1(X19)
          | ~ c3_1(X19) ) )
    & ( ~ hskp20
      | ( ~ c0_1(a233)
        & ndr1_0
        & c3_1(a233)
        & c2_1(a233) ) )
    & ( hskp22
      | hskp2
      | hskp24 )
    & ( hskp6
      | ! [X81] :
          ( ~ ndr1_0
          | c0_1(X81)
          | c2_1(X81)
          | c3_1(X81) ) )
    & ( hskp9
      | ! [X13] :
          ( ~ ndr1_0
          | c0_1(X13)
          | ~ c2_1(X13)
          | c3_1(X13) )
      | hskp11 )
    & ( ! [X59] :
          ( ~ c1_1(X59)
          | c0_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0
          | c2_1(X58) )
      | ! [X60] :
          ( c0_1(X60)
          | ~ ndr1_0
          | c1_1(X60)
          | ~ c2_1(X60) ) )
    & ( ( ~ c1_1(a199)
        & c2_1(a199)
        & ~ c0_1(a199)
        & ndr1_0 )
      | ~ hskp9 )
    & ( hskp0
      | hskp9
      | hskp1 )
    & ( ~ hskp23
      | ( c0_1(a189)
        & ndr1_0
        & c1_1(a189)
        & c3_1(a189) ) )
    & ( ! [X77] :
          ( ~ ndr1_0
          | ~ c1_1(X77)
          | ~ c2_1(X77)
          | c0_1(X77) )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c1_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c3_1(X75)
          | ~ ndr1_0
          | c0_1(X75)
          | c2_1(X75) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c3_1(a215)
        & c2_1(a215)
        & c1_1(a215) ) )
    & ( hskp13
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c0_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c3_1(X21)
          | ~ ndr1_0
          | c2_1(X21)
          | c1_1(X21) ) )
    & ( ! [X15] :
          ( c2_1(X15)
          | c1_1(X15)
          | ~ ndr1_0
          | ~ c0_1(X15) )
      | ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ ndr1_0
          | ~ c2_1(X16) )
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c3_1(X14)
          | c0_1(X14)
          | ~ c1_1(X14) ) )
    & ( ! [X72] :
          ( c2_1(X72)
          | ~ c0_1(X72)
          | c3_1(X72)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | ~ ndr1_0
          | ~ c1_1(X70)
          | ~ c0_1(X70) )
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c2_1(X71)
          | ~ c0_1(X71)
          | c1_1(X71) ) )
    & ( ( c2_1(a210)
        & ~ c1_1(a210)
        & c3_1(a210)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a191)
        & ~ c2_1(a191)
        & ndr1_0
        & ~ c1_1(a191) )
      | ~ hskp2 )
    & ( hskp6
      | ! [X12] :
          ( c3_1(X12)
          | c0_1(X12)
          | ~ ndr1_0
          | c2_1(X12) )
      | hskp5 )
    & ( ~ hskp15
      | ( ~ c3_1(a214)
        & ~ c0_1(a214)
        & c2_1(a214)
        & ndr1_0 ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a194)
        & ~ c2_1(a194)
        & ~ c1_1(a194) ) )
    & ( ! [X28] :
          ( ~ ndr1_0
          | c3_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28) )
      | ! [X29] :
          ( c0_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0
          | c1_1(X29) )
      | hskp2 )
    & ( ! [X80] :
          ( ~ ndr1_0
          | c2_1(X80)
          | c1_1(X80)
          | ~ c0_1(X80) )
      | ! [X78] :
          ( c3_1(X78)
          | c2_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c1_1(X79)
          | ~ c0_1(X79)
          | ~ c2_1(X79) ) )
    & ( ! [X66] :
          ( ~ ndr1_0
          | ~ c0_1(X66)
          | c1_1(X66)
          | ~ c3_1(X66) )
      | hskp24
      | ! [X67] :
          ( c2_1(X67)
          | ~ ndr1_0
          | c1_1(X67)
          | ~ c0_1(X67) ) )
    & ( ! [X98] :
          ( ~ c3_1(X98)
          | ~ c2_1(X98)
          | ~ c0_1(X98)
          | ~ ndr1_0 )
      | hskp23
      | hskp5 )
    & ( hskp16
      | ! [X84] :
          ( ~ c3_1(X84)
          | ~ ndr1_0
          | ~ c2_1(X84)
          | ~ c0_1(X84) )
      | hskp12 )
    & ( hskp9
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c3_1(X26)
          | ~ c1_1(X26)
          | ~ c0_1(X26) )
      | ! [X25] :
          ( ~ c0_1(X25)
          | c2_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( ! [X9] :
          ( c0_1(X9)
          | ~ c3_1(X9)
          | c1_1(X9)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ~ hskp20
      | ( ~ c0_1(a233)
        & ndr1_0
        & c3_1(a233)
        & c2_1(a233) ) )
    & ( ( ~ c3_1(a195)
        & ndr1_0
        & c0_1(a195)
        & ~ c1_1(a195) )
      | ~ hskp6 )
    & ( ( ~ c3_1(a191)
        & ~ c2_1(a191)
        & ndr1_0
        & ~ c1_1(a191) )
      | ~ hskp2 )
    & ( hskp14
      | hskp7
      | hskp9 )
    & ( ( c2_1(a210)
        & ~ c1_1(a210)
        & c3_1(a210)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ! [X96] :
          ( ~ c3_1(X96)
          | ~ c2_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 )
      | hskp14
      | ! [X95] :
          ( ~ c2_1(X95)
          | c1_1(X95)
          | ~ c3_1(X95)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( ~ c3_1(X14)
          | ~ c1_1(X14)
          | c0_1(X14)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c1_1(X16)
          | ~ c2_1(X16)
          | c0_1(X16)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c2_1(X15)
          | ~ c0_1(X15)
          | c1_1(X15)
          | ~ ndr1_0 ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c3_1(a192)
        & c0_1(a192)
        & c1_1(a192) ) )
    & ( hskp10
      | ! [X65] :
          ( c2_1(X65)
          | ~ c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c3_1(X64)
          | c2_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( c3_1(X69)
          | ~ c0_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c2_1(X68)
          | ~ c1_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X22] :
          ( c0_1(X22)
          | ~ c2_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c0_1(X23)
          | ~ c2_1(X23)
          | ~ c1_1(X23)
          | ~ ndr1_0 )
      | hskp7 )
    & ( hskp14
      | hskp12
      | hskp15 )
    & ( ( ~ c2_1(a223)
        & c3_1(a223)
        & ndr1_0
        & ~ c1_1(a223) )
      | ~ hskp18 )
    & ( ( ndr1_0
        & ~ c0_1(a225)
        & ~ c1_1(a225)
        & c3_1(a225) )
      | ~ hskp19 )
    & ( ~ hskp17
      | ( c2_1(a222)
        & c1_1(a222)
        & ndr1_0
        & ~ c3_1(a222) ) )
    & ( hskp0
      | ! [X52] :
          ( c1_1(X52)
          | c2_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c0_1(X53)
          | c2_1(X53)
          | ~ ndr1_0 ) )
    & ( ~ hskp4
      | ( ~ c0_1(a193)
        & ndr1_0
        & c1_1(a193)
        & ~ c3_1(a193) ) )
    & ( ~ hskp15
      | ( ~ c3_1(a214)
        & ~ c0_1(a214)
        & c2_1(a214)
        & ndr1_0 ) )
    & ( hskp23
      | ! [X98] :
          ( ~ c2_1(X98)
          | ~ c3_1(X98)
          | ~ c0_1(X98)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c2_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c0_1(X59)
          | ~ c1_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X31] :
          ( ~ c1_1(X31)
          | ~ c0_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X46] :
          ( c1_1(X46)
          | c2_1(X46)
          | c3_1(X46)
          | ~ ndr1_0 )
      | hskp15
      | ! [X47] :
          ( ~ c1_1(X47)
          | c3_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X41] :
          ( ~ c1_1(X41)
          | c3_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c1_1(X40)
          | c2_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X4] :
          ( ~ c0_1(X4)
          | ~ c2_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c1_1(X3)
          | ~ c2_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 )
      | hskp19 )
    & ( hskp9
      | hskp8
      | ! [X63] :
          ( c0_1(X63)
          | c2_1(X63)
          | ~ c1_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X26] :
          ( ~ c3_1(X26)
          | ~ c0_1(X26)
          | ~ c1_1(X26)
          | ~ ndr1_0 )
      | hskp9
      | ! [X25] :
          ( c2_1(X25)
          | c1_1(X25)
          | ~ c0_1(X25)
          | ~ ndr1_0 ) )
    & ( ! [X81] :
          ( c2_1(X81)
          | c3_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 )
      | hskp6 )
    & ( hskp12
      | hskp16
      | ! [X84] :
          ( ~ c0_1(X84)
          | ~ c3_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( ~ c2_1(X77)
          | ~ c1_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | ~ c0_1(X76)
          | c1_1(X76)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c0_1(X75)
          | ~ c3_1(X75)
          | c2_1(X75)
          | ~ ndr1_0 ) )
    & ( ~ hskp7
      | ( ~ c2_1(a197)
        & c1_1(a197)
        & ~ c0_1(a197)
        & ndr1_0 ) )
    & ( hskp1
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c0_1(X8)
          | c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X87] :
          ( ~ c2_1(X87)
          | c3_1(X87)
          | ~ c0_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c3_1(X88)
          | ~ c2_1(X88)
          | c1_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c0_1(X89)
          | ~ c3_1(X89)
          | c2_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X90] :
          ( c3_1(X90)
          | c0_1(X90)
          | c1_1(X90)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a198)
        & c1_1(a198)
        & ndr1_0
        & ~ c2_1(a198) )
      | ~ hskp8 )
    & ( hskp13
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c0_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c2_1(X21)
          | c1_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 ) )
    & ( ~ hskp23
      | ( c0_1(a189)
        & ndr1_0
        & c1_1(a189)
        & c3_1(a189) ) )
    & ( ! [X11] :
          ( ~ c2_1(X11)
          | ~ c3_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 )
      | hskp6
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c1_1(X10)
          | c0_1(X10)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( c2_1(X72)
          | ~ c0_1(X72)
          | c3_1(X72)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c2_1(X71)
          | ~ c0_1(X71)
          | c1_1(X71)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | ~ c1_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( c2_1(X74)
          | ~ c3_1(X74)
          | c1_1(X74)
          | ~ ndr1_0 )
      | hskp1
      | ! [X73] :
          ( c2_1(X73)
          | ~ c0_1(X73)
          | c3_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( ~ c1_1(X36)
          | ~ c2_1(X36)
          | ~ c0_1(X36)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c3_1(X34)
          | ~ c2_1(X34)
          | c0_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c3_1(X35)
          | c2_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( ~ c0_1(X28)
          | c3_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c1_1(X29)
          | ~ c3_1(X29)
          | c0_1(X29)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ~ hskp22
      | ( ~ c2_1(a259)
        & c3_1(a259)
        & ndr1_0
        & ~ c0_1(a259) ) )
    & ( ! [X82] :
          ( c0_1(X82)
          | ~ c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp8
      | hskp4 )
    & ( ~ hskp24
      | ( ndr1_0
        & c3_1(a215)
        & c2_1(a215)
        & c1_1(a215) ) )
    & ( hskp1
      | hskp2
      | ! [X27] :
          ( ~ c0_1(X27)
          | ~ c3_1(X27)
          | ~ c1_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X51] :
          ( c2_1(X51)
          | c1_1(X51)
          | ~ c0_1(X51)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c2_1(X50)
          | c0_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c1_1(X85)
          | ~ c2_1(X85)
          | c3_1(X85)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ~ hskp25
      | ( c0_1(a230)
        & ndr1_0
        & c2_1(a230)
        & c1_1(a230) ) )
    & ( hskp16
      | hskp23
      | ! [X54] :
          ( c1_1(X54)
          | ~ c0_1(X54)
          | c3_1(X54)
          | ~ ndr1_0 ) )
    & ( ! [X93] :
          ( ~ c2_1(X93)
          | ~ c3_1(X93)
          | c1_1(X93)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c0_1(X92)
          | c3_1(X92)
          | ~ c1_1(X92)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c2_1(X94)
          | ~ c3_1(X94)
          | ~ c0_1(X94)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( c2_1(X49)
          | c0_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c3_1(X48)
          | c0_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X2] :
          ( ~ c3_1(X2)
          | c0_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | c3_1(X1)
          | c2_1(X1)
          | ~ ndr1_0 )
      | ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c3_1(X66)
          | ~ c0_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | hskp24
      | ! [X67] :
          ( c1_1(X67)
          | c2_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp25
      | hskp2 )
    & ( ( ndr1_0
        & c3_1(a209)
        & c1_1(a209)
        & ~ c0_1(a209) )
      | ~ hskp13 )
    & ( ! [X45] :
          ( ~ c3_1(X45)
          | ~ c1_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 )
      | hskp7
      | ! [X44] :
          ( c0_1(X44)
          | c2_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp9
      | hskp1 )
    & ( ! [X61] :
          ( ~ c1_1(X61)
          | ~ c2_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 )
      | hskp0
      | ! [X62] :
          ( ~ c1_1(X62)
          | ~ c3_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 ) )
    & ( ( ~ c1_1(a199)
        & c2_1(a199)
        & ~ c0_1(a199)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ! [X91] :
          ( c2_1(X91)
          | c3_1(X91)
          | ~ c1_1(X91)
          | ~ ndr1_0 )
      | hskp3
      | hskp12 )
    & ( ~ hskp0
      | ( ndr1_0
        & ~ c1_1(a188)
        & ~ c3_1(a188)
        & ~ c0_1(a188) ) )
    & ( ( ndr1_0
        & ~ c3_1(a206)
        & ~ c0_1(a206)
        & ~ c2_1(a206) )
      | ~ hskp12 )
    & ( ! [X24] :
          ( ~ c2_1(X24)
          | c3_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | hskp10
      | hskp24 )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a194)
        & ~ c2_1(a194)
        & ~ c1_1(a194) ) )
    & ( ( c0_1(a202)
        & ~ c3_1(a202)
        & ~ c2_1(a202)
        & ndr1_0 )
      | ~ hskp11 )
    & ( hskp15
      | hskp5
      | hskp21 )
    & ( ! [X80] :
          ( c1_1(X80)
          | ~ c0_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c2_1(X78)
          | c3_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c2_1(X79)
          | ~ c0_1(X79)
          | ~ c1_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp23
      | hskp9 )
    & ( hskp18
      | ! [X30] :
          ( ~ c0_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 )
      | hskp17 )
    & ( hskp10
      | ! [X5] :
          ( c3_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c0_1(X6)
          | ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X97] :
          ( ~ c3_1(X97)
          | c2_1(X97)
          | ~ c0_1(X97)
          | ~ ndr1_0 )
      | hskp20
      | hskp4 )
    & ( ( ~ c1_1(a200)
        & c3_1(a200)
        & ndr1_0
        & c0_1(a200) )
      | ~ hskp10 )
    & ( ! [X55] :
          ( ~ c0_1(X55)
          | c3_1(X55)
          | ~ c1_1(X55)
          | ~ ndr1_0 )
      | hskp13
      | ! [X56] :
          ( c2_1(X56)
          | ~ c3_1(X56)
          | c1_1(X56)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a190)
        & c0_1(a190)
        & ndr1_0
        & ~ c3_1(a190) )
      | ~ hskp1 )
    & ( hskp11
      | ! [X13] :
          ( c0_1(X13)
          | ~ c2_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X32] :
          ( c3_1(X32)
          | ~ c2_1(X32)
          | c0_1(X32)
          | ~ ndr1_0 )
      | hskp5
      | ! [X33] :
          ( ~ c1_1(X33)
          | c0_1(X33)
          | c3_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [X38] :
          ( ~ c0_1(X38)
          | c1_1(X38)
          | c3_1(X38)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c1_1(X37)
          | ~ c3_1(X37)
          | ~ c0_1(X37)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c2_1(X39)
          | ~ c0_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 ) )
    & ( ( ~ c2_1(a221)
        & ~ c1_1(a221)
        & ~ c0_1(a221)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ! [X43] :
          ( ~ c1_1(X43)
          | ~ c3_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c3_1(X42)
          | ~ c0_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X17] :
          ( ~ c1_1(X17)
          | ~ c2_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c2_1(X18)
          | c3_1(X18)
          | ~ c0_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c1_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( c2_1(X57)
          | ~ c0_1(X57)
          | ~ c1_1(X57)
          | ~ ndr1_0 )
      | hskp25
      | hskp16 )
    & ( hskp4
      | ! [X83] :
          ( ~ c1_1(X83)
          | ~ c0_1(X83)
          | c3_1(X83)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ( ~ c1_1(a257)
        & ndr1_0
        & ~ c3_1(a257)
        & c2_1(a257) )
      | ~ hskp21 )
    & ( hskp22
      | hskp2
      | hskp24 )
    & ( hskp5
      | ! [X12] :
          ( c2_1(X12)
          | c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 )
      | hskp6 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | ~ c3_1(X9)
            | c1_1(X9) ) )
      | hskp3
      | hskp4 )
    & ( ~ hskp20
      | ( ~ c0_1(a233)
        & ndr1_0
        & c3_1(a233)
        & c2_1(a233) ) )
    & ( ( ~ c3_1(a195)
        & ndr1_0
        & c0_1(a195)
        & ~ c1_1(a195) )
      | ~ hskp6 )
    & ( ( ~ c3_1(a191)
        & ~ c2_1(a191)
        & ndr1_0
        & ~ c1_1(a191) )
      | ~ hskp2 )
    & ( hskp14
      | hskp7
      | hskp9 )
    & ( ( c2_1(a210)
        & ~ c1_1(a210)
        & c3_1(a210)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | ~ c2_1(X96)
            | c0_1(X96) ) )
      | hskp14
      | ! [X95] :
          ( ndr1_0
         => ( ~ c2_1(X95)
            | c1_1(X95)
            | ~ c3_1(X95) ) ) )
    & ( ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | ~ c1_1(X14)
            | c0_1(X14) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c1_1(X16)
            | ~ c2_1(X16)
            | c0_1(X16) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c2_1(X15)
            | ~ c0_1(X15)
            | c1_1(X15) ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c3_1(a192)
        & c0_1(a192)
        & c1_1(a192) ) )
    & ( hskp10
      | ! [X65] :
          ( ndr1_0
         => ( c2_1(X65)
            | ~ c3_1(X65)
            | c0_1(X65) ) )
      | ! [X64] :
          ( ndr1_0
         => ( c3_1(X64)
            | c2_1(X64)
            | ~ c0_1(X64) ) ) )
    & ( ! [X69] :
          ( ndr1_0
         => ( c3_1(X69)
            | ~ c0_1(X69)
            | ~ c1_1(X69) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | ~ c1_1(X68)
            | c0_1(X68) ) )
      | hskp12 )
    & ( ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | ~ c2_1(X22)
            | ~ c3_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c0_1(X23)
            | ~ c2_1(X23)
            | ~ c1_1(X23) ) )
      | hskp7 )
    & ( hskp14
      | hskp12
      | hskp15 )
    & ( ( ~ c2_1(a223)
        & c3_1(a223)
        & ndr1_0
        & ~ c1_1(a223) )
      | ~ hskp18 )
    & ( ( ndr1_0
        & ~ c0_1(a225)
        & ~ c1_1(a225)
        & c3_1(a225) )
      | ~ hskp19 )
    & ( ~ hskp17
      | ( c2_1(a222)
        & c1_1(a222)
        & ndr1_0
        & ~ c3_1(a222) ) )
    & ( hskp0
      | ! [X52] :
          ( ndr1_0
         => ( c1_1(X52)
            | c2_1(X52)
            | c0_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c0_1(X53)
            | c2_1(X53) ) ) )
    & ( ~ hskp4
      | ( ~ c0_1(a193)
        & ndr1_0
        & c1_1(a193)
        & ~ c3_1(a193) ) )
    & ( ~ hskp15
      | ( ~ c3_1(a214)
        & ~ c0_1(a214)
        & c2_1(a214)
        & ndr1_0 ) )
    & ( hskp23
      | ! [X98] :
          ( ndr1_0
         => ( ~ c2_1(X98)
            | ~ c3_1(X98)
            | ~ c0_1(X98) ) )
      | hskp5 )
    & ( ! [X60] :
          ( ndr1_0
         => ( c0_1(X60)
            | ~ c2_1(X60)
            | c1_1(X60) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c1_1(X58)
            | c2_1(X58)
            | ~ c3_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c0_1(X59)
            | ~ c1_1(X59)
            | ~ c2_1(X59) ) ) )
    & ( hskp9
      | ! [X31] :
          ( ndr1_0
         => ( ~ c1_1(X31)
            | ~ c0_1(X31)
            | c3_1(X31) ) )
      | hskp7 )
    & ( ! [X46] :
          ( ndr1_0
         => ( c1_1(X46)
            | c2_1(X46)
            | c3_1(X46) ) )
      | hskp15
      | ! [X47] :
          ( ndr1_0
         => ( ~ c1_1(X47)
            | c3_1(X47)
            | c2_1(X47) ) ) )
    & ( hskp12
      | ! [X41] :
          ( ndr1_0
         => ( ~ c1_1(X41)
            | c3_1(X41)
            | ~ c2_1(X41) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c1_1(X40)
            | c2_1(X40)
            | ~ c0_1(X40) ) ) )
    & ( ! [X4] :
          ( ndr1_0
         => ( ~ c0_1(X4)
            | ~ c2_1(X4)
            | c3_1(X4) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c1_1(X3)
            | ~ c2_1(X3)
            | c3_1(X3) ) )
      | hskp19 )
    & ( hskp9
      | hskp8
      | ! [X63] :
          ( ndr1_0
         => ( c0_1(X63)
            | c2_1(X63)
            | ~ c1_1(X63) ) ) )
    & ( ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c0_1(X26)
            | ~ c1_1(X26) ) )
      | hskp9
      | ! [X25] :
          ( ndr1_0
         => ( c2_1(X25)
            | c1_1(X25)
            | ~ c0_1(X25) ) ) )
    & ( ! [X81] :
          ( ndr1_0
         => ( c2_1(X81)
            | c3_1(X81)
            | c0_1(X81) ) )
      | hskp6 )
    & ( hskp12
      | hskp16
      | ! [X84] :
          ( ndr1_0
         => ( ~ c0_1(X84)
            | ~ c3_1(X84)
            | ~ c2_1(X84) ) ) )
    & ( ! [X77] :
          ( ndr1_0
         => ( ~ c2_1(X77)
            | ~ c1_1(X77)
            | c0_1(X77) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | ~ c0_1(X76)
            | c1_1(X76) ) )
      | ! [X75] :
          ( ndr1_0
         => ( c0_1(X75)
            | ~ c3_1(X75)
            | c2_1(X75) ) ) )
    & ( ~ hskp7
      | ( ~ c2_1(a197)
        & c1_1(a197)
        & ~ c0_1(a197)
        & ndr1_0 ) )
    & ( hskp1
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c0_1(X7)
            | c3_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c0_1(X8)
            | c1_1(X8)
            | c2_1(X8) ) ) )
    & ( ! [X87] :
          ( ndr1_0
         => ( ~ c2_1(X87)
            | c3_1(X87)
            | ~ c0_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( c3_1(X88)
            | ~ c2_1(X88)
            | c1_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( c0_1(X89)
            | ~ c3_1(X89)
            | c2_1(X89) ) ) )
    & ( hskp1
      | ! [X90] :
          ( ndr1_0
         => ( c3_1(X90)
            | c0_1(X90)
            | c1_1(X90) ) ) )
    & ( ( c3_1(a198)
        & c1_1(a198)
        & ndr1_0
        & ~ c2_1(a198) )
      | ~ hskp8 )
    & ( hskp13
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c2_1(X20)
            | c0_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c2_1(X21)
            | c1_1(X21)
            | c3_1(X21) ) ) )
    & ( ~ hskp23
      | ( c0_1(a189)
        & ndr1_0
        & c1_1(a189)
        & c3_1(a189) ) )
    & ( ! [X11] :
          ( ndr1_0
         => ( ~ c2_1(X11)
            | ~ c3_1(X11)
            | ~ c0_1(X11) ) )
      | hskp6
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c1_1(X10)
            | c0_1(X10) ) ) )
    & ( ! [X72] :
          ( ndr1_0
         => ( c2_1(X72)
            | ~ c0_1(X72)
            | c3_1(X72) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c2_1(X71)
            | ~ c0_1(X71)
            | c1_1(X71) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | ~ c1_1(X70)
            | ~ c0_1(X70) ) ) )
    & ( ! [X74] :
          ( ndr1_0
         => ( c2_1(X74)
            | ~ c3_1(X74)
            | c1_1(X74) ) )
      | hskp1
      | ! [X73] :
          ( ndr1_0
         => ( c2_1(X73)
            | ~ c0_1(X73)
            | c3_1(X73) ) ) )
    & ( ! [X36] :
          ( ndr1_0
         => ( ~ c1_1(X36)
            | ~ c2_1(X36)
            | ~ c0_1(X36) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c3_1(X34)
            | ~ c2_1(X34)
            | c0_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c3_1(X35)
            | c2_1(X35)
            | ~ c0_1(X35) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( ~ c0_1(X28)
            | c3_1(X28)
            | ~ c1_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c1_1(X29)
            | ~ c3_1(X29)
            | c0_1(X29) ) )
      | hskp2 )
    & ( ~ hskp22
      | ( ~ c2_1(a259)
        & c3_1(a259)
        & ndr1_0
        & ~ c0_1(a259) ) )
    & ( ! [X82] :
          ( ndr1_0
         => ( c0_1(X82)
            | ~ c2_1(X82)
            | ~ c3_1(X82) ) )
      | hskp8
      | hskp4 )
    & ( ~ hskp24
      | ( ndr1_0
        & c3_1(a215)
        & c2_1(a215)
        & c1_1(a215) ) )
    & ( hskp1
      | hskp2
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | ~ c3_1(X27)
            | ~ c1_1(X27) ) ) )
    & ( ! [X51] :
          ( ndr1_0
         => ( c2_1(X51)
            | c1_1(X51)
            | ~ c0_1(X51) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | c0_1(X50)
            | ~ c1_1(X50) ) )
      | hskp2 )
    & ( ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | c2_1(X86)
            | ~ c0_1(X86) ) )
      | ! [X85] :
          ( ndr1_0
         => ( c1_1(X85)
            | ~ c2_1(X85)
            | c3_1(X85) ) )
      | hskp24 )
    & ( ~ hskp25
      | ( c0_1(a230)
        & ndr1_0
        & c2_1(a230)
        & c1_1(a230) ) )
    & ( hskp16
      | hskp23
      | ! [X54] :
          ( ndr1_0
         => ( c1_1(X54)
            | ~ c0_1(X54)
            | c3_1(X54) ) ) )
    & ( ! [X93] :
          ( ndr1_0
         => ( ~ c2_1(X93)
            | ~ c3_1(X93)
            | c1_1(X93) ) )
      | ! [X92] :
          ( ndr1_0
         => ( ~ c0_1(X92)
            | c3_1(X92)
            | ~ c1_1(X92) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c2_1(X94)
            | ~ c3_1(X94)
            | ~ c0_1(X94) ) ) )
    & ( ! [X49] :
          ( ndr1_0
         => ( c2_1(X49)
            | c0_1(X49)
            | ~ c1_1(X49) ) )
      | ! [X48] :
          ( ndr1_0
         => ( c3_1(X48)
            | c0_1(X48)
            | c1_1(X48) ) )
      | hskp23 )
    & ( ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | c0_1(X2)
            | c2_1(X2) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c1_1(X1)
            | c3_1(X1)
            | c2_1(X1) ) )
      | ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | ~ c0_1(X66)
            | c1_1(X66) ) )
      | hskp24
      | ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | c2_1(X67)
            | ~ c0_1(X67) ) ) )
    & ( hskp15
      | hskp25
      | hskp2 )
    & ( ( ndr1_0
        & c3_1(a209)
        & c1_1(a209)
        & ~ c0_1(a209) )
      | ~ hskp13 )
    & ( ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c1_1(X45)
            | ~ c2_1(X45) ) )
      | hskp7
      | ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | c2_1(X44)
            | ~ c1_1(X44) ) ) )
    & ( hskp0
      | hskp9
      | hskp1 )
    & ( ! [X61] :
          ( ndr1_0
         => ( ~ c1_1(X61)
            | ~ c2_1(X61)
            | c0_1(X61) ) )
      | hskp0
      | ! [X62] :
          ( ndr1_0
         => ( ~ c1_1(X62)
            | ~ c3_1(X62)
            | c2_1(X62) ) ) )
    & ( ( ~ c1_1(a199)
        & c2_1(a199)
        & ~ c0_1(a199)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ! [X91] :
          ( ndr1_0
         => ( c2_1(X91)
            | c3_1(X91)
            | ~ c1_1(X91) ) )
      | hskp3
      | hskp12 )
    & ( ~ hskp0
      | ( ndr1_0
        & ~ c1_1(a188)
        & ~ c3_1(a188)
        & ~ c0_1(a188) ) )
    & ( ( ndr1_0
        & ~ c3_1(a206)
        & ~ c0_1(a206)
        & ~ c2_1(a206) )
      | ~ hskp12 )
    & ( ! [X24] :
          ( ndr1_0
         => ( ~ c2_1(X24)
            | c3_1(X24)
            | ~ c0_1(X24) ) )
      | hskp10
      | hskp24 )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a194)
        & ~ c2_1(a194)
        & ~ c1_1(a194) ) )
    & ( ( c0_1(a202)
        & ~ c3_1(a202)
        & ~ c2_1(a202)
        & ndr1_0 )
      | ~ hskp11 )
    & ( hskp15
      | hskp5
      | hskp21 )
    & ( ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | ~ c0_1(X80)
            | c2_1(X80) ) )
      | ! [X78] :
          ( ndr1_0
         => ( c2_1(X78)
            | c3_1(X78)
            | ~ c0_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c2_1(X79)
            | ~ c0_1(X79)
            | ~ c1_1(X79) ) ) )
    & ( hskp2
      | hskp23
      | hskp9 )
    & ( hskp18
      | ! [X30] :
          ( ndr1_0
         => ( ~ c0_1(X30)
            | c3_1(X30)
            | c1_1(X30) ) )
      | hskp17 )
    & ( hskp10
      | ! [X5] :
          ( ndr1_0
         => ( c3_1(X5)
            | c1_1(X5)
            | c2_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | ~ c3_1(X6)
            | ~ c1_1(X6) ) ) )
    & ( ! [X97] :
          ( ndr1_0
         => ( ~ c3_1(X97)
            | c2_1(X97)
            | ~ c0_1(X97) ) )
      | hskp20
      | hskp4 )
    & ( ( ~ c1_1(a200)
        & c3_1(a200)
        & ndr1_0
        & c0_1(a200) )
      | ~ hskp10 )
    & ( ! [X55] :
          ( ndr1_0
         => ( ~ c0_1(X55)
            | c3_1(X55)
            | ~ c1_1(X55) ) )
      | hskp13
      | ! [X56] :
          ( ndr1_0
         => ( c2_1(X56)
            | ~ c3_1(X56)
            | c1_1(X56) ) ) )
    & ( ( c2_1(a190)
        & c0_1(a190)
        & ndr1_0
        & ~ c3_1(a190) )
      | ~ hskp1 )
    & ( hskp11
      | ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | ~ c2_1(X13)
            | c3_1(X13) ) )
      | hskp9 )
    & ( ! [X32] :
          ( ndr1_0
         => ( c3_1(X32)
            | ~ c2_1(X32)
            | c0_1(X32) ) )
      | hskp5
      | ! [X33] :
          ( ndr1_0
         => ( ~ c1_1(X33)
            | c0_1(X33)
            | c3_1(X33) ) ) )
    & ( ! [X38] :
          ( ndr1_0
         => ( ~ c0_1(X38)
            | c1_1(X38)
            | c3_1(X38) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c1_1(X37)
            | ~ c3_1(X37)
            | ~ c0_1(X37) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c2_1(X39)
            | ~ c0_1(X39)
            | ~ c3_1(X39) ) ) )
    & ( ( ~ c2_1(a221)
        & ~ c1_1(a221)
        & ~ c0_1(a221)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ! [X43] :
          ( ndr1_0
         => ( ~ c1_1(X43)
            | ~ c3_1(X43)
            | ~ c2_1(X43) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c3_1(X42)
            | ~ c0_1(X42)
            | c2_1(X42) ) )
      | hskp13 )
    & ( ! [X17] :
          ( ndr1_0
         => ( ~ c1_1(X17)
            | ~ c2_1(X17)
            | c3_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c2_1(X18)
            | c3_1(X18)
            | ~ c0_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c1_1(X19)
            | ~ c0_1(X19) ) ) )
    & ( ! [X57] :
          ( ndr1_0
         => ( c2_1(X57)
            | ~ c0_1(X57)
            | ~ c1_1(X57) ) )
      | hskp25
      | hskp16 )
    & ( hskp4
      | ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | ~ c0_1(X83)
            | c3_1(X83) ) )
      | hskp7 )
    & ( ( ~ c1_1(a257)
        & ndr1_0
        & ~ c3_1(a257)
        & c2_1(a257) )
      | ~ hskp21 )
    & ( hskp22
      | hskp2
      | hskp24 )
    & ( hskp5
      | ! [X12] :
          ( ndr1_0
         => ( c2_1(X12)
            | c0_1(X12)
            | c3_1(X12) ) )
      | hskp6 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | ~ c3_1(X9)
                | c1_1(X9) ) )
          | hskp3
          | hskp4 )
        & ( ~ hskp20
          | ( ~ c0_1(a233)
            & ndr1_0
            & c3_1(a233)
            & c2_1(a233) ) )
        & ( ( ~ c3_1(a195)
            & ndr1_0
            & c0_1(a195)
            & ~ c1_1(a195) )
          | ~ hskp6 )
        & ( ( ~ c3_1(a191)
            & ~ c2_1(a191)
            & ndr1_0
            & ~ c1_1(a191) )
          | ~ hskp2 )
        & ( hskp14
          | hskp7
          | hskp9 )
        & ( ( c2_1(a210)
            & ~ c1_1(a210)
            & c3_1(a210)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c2_1(X96)
                | c0_1(X96) ) )
          | hskp14
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | c1_1(X95)
                | ~ c3_1(X95) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c1_1(X14)
                | c0_1(X14) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c1_1(X16)
                | ~ c2_1(X16)
                | c0_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c2_1(X15)
                | ~ c0_1(X15)
                | c1_1(X15) ) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & ~ c3_1(a192)
            & c0_1(a192)
            & c1_1(a192) ) )
        & ( hskp10
          | ! [X65] :
              ( ndr1_0
             => ( c2_1(X65)
                | ~ c3_1(X65)
                | c0_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c3_1(X64)
                | c2_1(X64)
                | ~ c0_1(X64) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( c3_1(X69)
                | ~ c0_1(X69)
                | ~ c1_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c1_1(X68)
                | c0_1(X68) ) )
          | hskp12 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | ~ c2_1(X22)
                | ~ c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | ~ c2_1(X23)
                | ~ c1_1(X23) ) )
          | hskp7 )
        & ( hskp14
          | hskp12
          | hskp15 )
        & ( ( ~ c2_1(a223)
            & c3_1(a223)
            & ndr1_0
            & ~ c1_1(a223) )
          | ~ hskp18 )
        & ( ( ndr1_0
            & ~ c0_1(a225)
            & ~ c1_1(a225)
            & c3_1(a225) )
          | ~ hskp19 )
        & ( ~ hskp17
          | ( c2_1(a222)
            & c1_1(a222)
            & ndr1_0
            & ~ c3_1(a222) ) )
        & ( hskp0
          | ! [X52] :
              ( ndr1_0
             => ( c1_1(X52)
                | c2_1(X52)
                | c0_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c0_1(X53)
                | c2_1(X53) ) ) )
        & ( ~ hskp4
          | ( ~ c0_1(a193)
            & ndr1_0
            & c1_1(a193)
            & ~ c3_1(a193) ) )
        & ( ~ hskp15
          | ( ~ c3_1(a214)
            & ~ c0_1(a214)
            & c2_1(a214)
            & ndr1_0 ) )
        & ( hskp23
          | ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | ~ c3_1(X98)
                | ~ c0_1(X98) ) )
          | hskp5 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c2_1(X60)
                | c1_1(X60) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | c2_1(X58)
                | ~ c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | ~ c1_1(X59)
                | ~ c2_1(X59) ) ) )
        & ( hskp9
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | ~ c0_1(X31)
                | c3_1(X31) ) )
          | hskp7 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | c2_1(X46)
                | c3_1(X46) ) )
          | hskp15
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | c3_1(X47)
                | c2_1(X47) ) ) )
        & ( hskp12
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | c3_1(X41)
                | ~ c2_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | c2_1(X40)
                | ~ c0_1(X40) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c0_1(X4)
                | ~ c2_1(X4)
                | c3_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c1_1(X3)
                | ~ c2_1(X3)
                | c3_1(X3) ) )
          | hskp19 )
        & ( hskp9
          | hskp8
          | ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | c2_1(X63)
                | ~ c1_1(X63) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c0_1(X26)
                | ~ c1_1(X26) ) )
          | hskp9
          | ! [X25] :
              ( ndr1_0
             => ( c2_1(X25)
                | c1_1(X25)
                | ~ c0_1(X25) ) ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | c3_1(X81)
                | c0_1(X81) ) )
          | hskp6 )
        & ( hskp12
          | hskp16
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | ~ c3_1(X84)
                | ~ c2_1(X84) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | ~ c1_1(X77)
                | c0_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c0_1(X76)
                | c1_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c0_1(X75)
                | ~ c3_1(X75)
                | c2_1(X75) ) ) )
        & ( ~ hskp7
          | ( ~ c2_1(a197)
            & c1_1(a197)
            & ~ c0_1(a197)
            & ndr1_0 ) )
        & ( hskp1
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c0_1(X7)
                | c3_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c0_1(X8)
                | c1_1(X8)
                | c2_1(X8) ) ) )
        & ( ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | c3_1(X87)
                | ~ c0_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | ~ c2_1(X88)
                | c1_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c0_1(X89)
                | ~ c3_1(X89)
                | c2_1(X89) ) ) )
        & ( hskp1
          | ! [X90] :
              ( ndr1_0
             => ( c3_1(X90)
                | c0_1(X90)
                | c1_1(X90) ) ) )
        & ( ( c3_1(a198)
            & c1_1(a198)
            & ndr1_0
            & ~ c2_1(a198) )
          | ~ hskp8 )
        & ( hskp13
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c2_1(X20)
                | c0_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c2_1(X21)
                | c1_1(X21)
                | c3_1(X21) ) ) )
        & ( ~ hskp23
          | ( c0_1(a189)
            & ndr1_0
            & c1_1(a189)
            & c3_1(a189) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | ~ c3_1(X11)
                | ~ c0_1(X11) ) )
          | hskp6
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c1_1(X10)
                | c0_1(X10) ) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | ~ c0_1(X72)
                | c3_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | ~ c0_1(X71)
                | c1_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c1_1(X70)
                | ~ c0_1(X70) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( c2_1(X74)
                | ~ c3_1(X74)
                | c1_1(X74) ) )
          | hskp1
          | ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | ~ c0_1(X73)
                | c3_1(X73) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | ~ c2_1(X36)
                | ~ c0_1(X36) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c3_1(X34)
                | ~ c2_1(X34)
                | c0_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c3_1(X35)
                | c2_1(X35)
                | ~ c0_1(X35) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | c3_1(X28)
                | ~ c1_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c1_1(X29)
                | ~ c3_1(X29)
                | c0_1(X29) ) )
          | hskp2 )
        & ( ~ hskp22
          | ( ~ c2_1(a259)
            & c3_1(a259)
            & ndr1_0
            & ~ c0_1(a259) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( c0_1(X82)
                | ~ c2_1(X82)
                | ~ c3_1(X82) ) )
          | hskp8
          | hskp4 )
        & ( ~ hskp24
          | ( ndr1_0
            & c3_1(a215)
            & c2_1(a215)
            & c1_1(a215) ) )
        & ( hskp1
          | hskp2
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | ~ c3_1(X27)
                | ~ c1_1(X27) ) ) )
        & ( ! [X51] :
              ( ndr1_0
             => ( c2_1(X51)
                | c1_1(X51)
                | ~ c0_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | c0_1(X50)
                | ~ c1_1(X50) ) )
          | hskp2 )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c2_1(X86)
                | ~ c0_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | ~ c2_1(X85)
                | c3_1(X85) ) )
          | hskp24 )
        & ( ~ hskp25
          | ( c0_1(a230)
            & ndr1_0
            & c2_1(a230)
            & c1_1(a230) ) )
        & ( hskp16
          | hskp23
          | ! [X54] :
              ( ndr1_0
             => ( c1_1(X54)
                | ~ c0_1(X54)
                | c3_1(X54) ) ) )
        & ( ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | ~ c3_1(X93)
                | c1_1(X93) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | c3_1(X92)
                | ~ c1_1(X92) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c2_1(X94)
                | ~ c3_1(X94)
                | ~ c0_1(X94) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( c2_1(X49)
                | c0_1(X49)
                | ~ c1_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | c0_1(X48)
                | c1_1(X48) ) )
          | hskp23 )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | c0_1(X2)
                | c2_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c1_1(X1)
                | c3_1(X1)
                | c2_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c0_1(X66)
                | c1_1(X66) ) )
          | hskp24
          | ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | c2_1(X67)
                | ~ c0_1(X67) ) ) )
        & ( hskp15
          | hskp25
          | hskp2 )
        & ( ( ndr1_0
            & c3_1(a209)
            & c1_1(a209)
            & ~ c0_1(a209) )
          | ~ hskp13 )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c1_1(X45)
                | ~ c2_1(X45) ) )
          | hskp7
          | ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c2_1(X44)
                | ~ c1_1(X44) ) ) )
        & ( hskp0
          | hskp9
          | hskp1 )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | ~ c2_1(X61)
                | c0_1(X61) ) )
          | hskp0
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | ~ c3_1(X62)
                | c2_1(X62) ) ) )
        & ( ( ~ c1_1(a199)
            & c2_1(a199)
            & ~ c0_1(a199)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | c3_1(X91)
                | ~ c1_1(X91) ) )
          | hskp3
          | hskp12 )
        & ( ~ hskp0
          | ( ndr1_0
            & ~ c1_1(a188)
            & ~ c3_1(a188)
            & ~ c0_1(a188) ) )
        & ( ( ndr1_0
            & ~ c3_1(a206)
            & ~ c0_1(a206)
            & ~ c2_1(a206) )
          | ~ hskp12 )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | c3_1(X24)
                | ~ c0_1(X24) ) )
          | hskp10
          | hskp24 )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a194)
            & ~ c2_1(a194)
            & ~ c1_1(a194) ) )
        & ( ( c0_1(a202)
            & ~ c3_1(a202)
            & ~ c2_1(a202)
            & ndr1_0 )
          | ~ hskp11 )
        & ( hskp15
          | hskp5
          | hskp21 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | ~ c0_1(X80)
                | c2_1(X80) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c2_1(X78)
                | c3_1(X78)
                | ~ c0_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c0_1(X79)
                | ~ c1_1(X79) ) ) )
        & ( hskp2
          | hskp23
          | hskp9 )
        & ( hskp18
          | ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | c3_1(X30)
                | c1_1(X30) ) )
          | hskp17 )
        & ( hskp10
          | ! [X5] :
              ( ndr1_0
             => ( c3_1(X5)
                | c1_1(X5)
                | c2_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | ~ c3_1(X6)
                | ~ c1_1(X6) ) ) )
        & ( ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | c2_1(X97)
                | ~ c0_1(X97) ) )
          | hskp20
          | hskp4 )
        & ( ( ~ c1_1(a200)
            & c3_1(a200)
            & ndr1_0
            & c0_1(a200) )
          | ~ hskp10 )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | c3_1(X55)
                | ~ c1_1(X55) ) )
          | hskp13
          | ! [X56] :
              ( ndr1_0
             => ( c2_1(X56)
                | ~ c3_1(X56)
                | c1_1(X56) ) ) )
        & ( ( c2_1(a190)
            & c0_1(a190)
            & ndr1_0
            & ~ c3_1(a190) )
          | ~ hskp1 )
        & ( hskp11
          | ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | ~ c2_1(X13)
                | c3_1(X13) ) )
          | hskp9 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c3_1(X32)
                | ~ c2_1(X32)
                | c0_1(X32) ) )
          | hskp5
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c0_1(X33)
                | c3_1(X33) ) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | c1_1(X38)
                | c3_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | ~ c3_1(X37)
                | ~ c0_1(X37) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | ~ c0_1(X39)
                | ~ c3_1(X39) ) ) )
        & ( ( ~ c2_1(a221)
            & ~ c1_1(a221)
            & ~ c0_1(a221)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | ~ c3_1(X43)
                | ~ c2_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c3_1(X42)
                | ~ c0_1(X42)
                | c2_1(X42) ) )
          | hskp13 )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | ~ c2_1(X17)
                | c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c2_1(X18)
                | c3_1(X18)
                | ~ c0_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c1_1(X19)
                | ~ c0_1(X19) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( c2_1(X57)
                | ~ c0_1(X57)
                | ~ c1_1(X57) ) )
          | hskp25
          | hskp16 )
        & ( hskp4
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | ~ c0_1(X83)
                | c3_1(X83) ) )
          | hskp7 )
        & ( ( ~ c1_1(a257)
            & ndr1_0
            & ~ c3_1(a257)
            & c2_1(a257) )
          | ~ hskp21 )
        & ( hskp22
          | hskp2
          | hskp24 )
        & ( hskp5
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | c0_1(X12)
                | c3_1(X12) ) )
          | hskp6 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c3_1(X2)
                | c1_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c2_1(X1)
                | c0_1(X1)
                | ~ c3_1(X1) ) ) )
        & ( hskp19
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | c3_1(X75)
                | c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | c3_1(X76)
                | ~ c2_1(X76) ) ) )
        & ( hskp0
          | hskp9
          | hskp1 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | c2_1(X45)
                | c3_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | ~ c3_1(X44)
                | ~ c1_1(X44) ) )
          | hskp10 )
        & ( hskp15
          | hskp25
          | hskp2 )
        & ( hskp1
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | c3_1(X61)
                | ~ c0_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | c1_1(X60)
                | c2_1(X60) ) ) )
        & ( hskp4
          | ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | ~ c3_1(X16)
                | c1_1(X16) ) )
          | hskp3 )
        & ( hskp14
          | hskp12
          | hskp15 )
        & ( hskp6
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | ~ c2_1(X42)
                | c0_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | ~ c3_1(X43)
                | ~ c0_1(X43) ) ) )
        & ( hskp2
          | hskp23
          | hskp9 )
        & ( hskp5
          | ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c3_1(X17)
                | c2_1(X17) ) )
          | hskp6 )
        & ( hskp11
          | ! [X35] :
              ( ndr1_0
             => ( c3_1(X35)
                | c0_1(X35)
                | ~ c2_1(X35) ) )
          | hskp9 )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | c0_1(X12)
                | ~ c3_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c2_1(X13)
                | c1_1(X13)
                | ~ c0_1(X13) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( ~ c1_1(X84)
                | ~ c2_1(X84)
                | c3_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | c2_1(X83)
                | c3_1(X83) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c1_1(X85)
                | ~ c0_1(X85) ) ) )
        & ( hskp13
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | ~ c3_1(X46)
                | c0_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c2_1(X47)
                | c1_1(X47)
                | c3_1(X47) ) ) )
        & ( ( ~ c3_1(a191)
            & ~ c2_1(a191)
            & ndr1_0
            & ~ c1_1(a191) )
          | ~ hskp2 )
        & ( ( ~ c1_1(a257)
            & ndr1_0
            & ~ c3_1(a257)
            & c2_1(a257) )
          | ~ hskp21 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | ~ c3_1(X50)
                | ~ c2_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | ~ c2_1(X51)
                | ~ c0_1(X51) ) )
          | hskp7 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c3_1(X95)
                | ~ c2_1(X95)
                | ~ c0_1(X95) ) )
          | hskp10
          | hskp24 )
        & ( ~ hskp17
          | ( c2_1(a222)
            & c1_1(a222)
            & ndr1_0
            & ~ c3_1(a222) ) )
        & ( ~ hskp4
          | ( ~ c0_1(a193)
            & ndr1_0
            & c1_1(a193)
            & ~ c3_1(a193) ) )
        & ( ( ndr1_0
            & c3_1(a209)
            & c1_1(a209)
            & ~ c0_1(a209) )
          | ~ hskp13 )
        & ( ~ hskp0
          | ( ndr1_0
            & ~ c1_1(a188)
            & ~ c3_1(a188)
            & ~ c0_1(a188) ) )
        & ( ( ~ c1_1(a200)
            & c3_1(a200)
            & ndr1_0
            & c0_1(a200) )
          | ~ hskp10 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | ~ c0_1(X62)
                | c2_1(X62) ) )
          | hskp9
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c1_1(X63)
                | ~ c0_1(X63) ) ) )
        & ( ~ hskp7
          | ( ~ c2_1(a197)
            & c1_1(a197)
            & ~ c0_1(a197)
            & ndr1_0 ) )
        & ( ( ~ c1_1(a199)
            & c2_1(a199)
            & ~ c0_1(a199)
            & ndr1_0 )
          | ~ hskp9 )
        & ( hskp2
          | hskp1
          | ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | ~ c3_1(X96)
                | ~ c1_1(X96) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | c3_1(X15)
                | ~ c1_1(X15) ) )
          | hskp2
          | ! [X14] :
              ( ndr1_0
             => ( c1_1(X14)
                | ~ c3_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp17
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | c3_1(X72)
                | c1_1(X72) ) )
          | hskp18 )
        & ( ~ hskp23
          | ( c0_1(a189)
            & ndr1_0
            & c1_1(a189)
            & c3_1(a189) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a194)
            & ~ c2_1(a194)
            & ~ c1_1(a194) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & ~ c3_1(a192)
            & c0_1(a192)
            & c1_1(a192) ) )
        & ( ( ndr1_0
            & ~ c3_1(a206)
            & ~ c0_1(a206)
            & ~ c2_1(a206) )
          | ~ hskp12 )
        & ( ! [X94] :
              ( ndr1_0
             => ( ~ c0_1(X94)
                | ~ c1_1(X94)
                | c3_1(X94) ) )
          | hskp7
          | hskp9 )
        & ( ! [X31] :
              ( ndr1_0
             => ( ~ c2_1(X31)
                | c3_1(X31)
                | c0_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c3_1(X30)
                | ~ c1_1(X30) ) )
          | hskp5 )
        & ( ( c3_1(a198)
            & c1_1(a198)
            & ndr1_0
            & ~ c2_1(a198) )
          | ~ hskp8 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c3_1(X32)
                | c0_1(X32)
                | ~ c2_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c3_1(X33)
                | ~ c0_1(X33)
                | c2_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | ~ c2_1(X34)
                | ~ c0_1(X34) ) ) )
        & ( hskp15
          | hskp5
          | hskp21 )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c0_1(X69)
                | ~ c1_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | c1_1(X68)
                | ~ c0_1(X68) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c2_1(X70)
                | ~ c0_1(X70) ) ) )
        & ( hskp14
          | hskp7
          | hskp9 )
        & ( ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | c2_1(X89)
                | ~ c0_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | c3_1(X90)
                | ~ c1_1(X90) ) )
          | hskp12 )
        & ( ( ~ c2_1(a223)
            & c3_1(a223)
            & ndr1_0
            & ~ c1_1(a223) )
          | ~ hskp18 )
        & ( hskp13
          | ! [X86] :
              ( ndr1_0
             => ( c2_1(X86)
                | ~ c0_1(X86)
                | c3_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c1_1(X87)
                | ~ c3_1(X87) ) ) )
        & ( hskp7
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c2_1(X19)
                | ~ c1_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c1_1(X20)
                | ~ c2_1(X20)
                | ~ c3_1(X20) ) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c3_1(a215)
            & c2_1(a215)
            & c1_1(a215) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( c2_1(X53)
                | c3_1(X53)
                | c1_1(X53) ) )
          | hskp15
          | ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | c3_1(X54)
                | c2_1(X54) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c3_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c0_1(X6)
                | ~ c1_1(X6) ) )
          | hskp23 )
        & ( hskp2
          | ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | ~ c1_1(X36)
                | ~ c2_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c2_1(X37)
                | c1_1(X37)
                | ~ c0_1(X37) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c0_1(X4)
                | ~ c3_1(X4)
                | c2_1(X4) ) )
          | hskp0 )
        & ( hskp16
          | hskp23
          | ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | ~ c0_1(X71)
                | c3_1(X71) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | ~ c1_1(X67)
                | c3_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | c2_1(X66)
                | ~ c3_1(X66) ) )
          | hskp13 )
        & ( hskp16
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | ~ c1_1(X91)
                | c2_1(X91) ) )
          | hskp25 )
        & ( hskp22
          | hskp2
          | hskp24 )
        & ( ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | c1_1(X10)
                | c2_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | ~ c2_1(X9)
                | c0_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c0_1(X8)
                | c1_1(X8) ) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c0_1(X38)
                | ~ c2_1(X38) ) )
          | hskp0
          | ! [X39] :
              ( ndr1_0
             => ( c2_1(X39)
                | ~ c1_1(X39)
                | ~ c3_1(X39) ) ) )
        & ( hskp8
          | hskp9
          | ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | ~ c1_1(X21)
                | c2_1(X21) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( c2_1(X29)
                | ~ c0_1(X29)
                | c3_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c2_1(X28)
                | ~ c3_1(X28)
                | c0_1(X28) ) )
          | hskp10 )
        & ( ~ hskp15
          | ( ~ c3_1(a214)
            & ~ c0_1(a214)
            & c2_1(a214)
            & ndr1_0 ) )
        & ( ( ndr1_0
            & ~ c0_1(a225)
            & ~ c1_1(a225)
            & c3_1(a225) )
          | ~ hskp19 )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c0_1(X56)
                | ~ c3_1(X56)
                | c1_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c1_1(X55)
                | c2_1(X55)
                | ~ c0_1(X55) ) )
          | hskp24 )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | ~ c1_1(X40)
                | c0_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | ~ c0_1(X41)
                | c3_1(X41) ) )
          | hskp12 )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c1_1(X79)
                | ~ c2_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c1_1(X77)
                | ~ c2_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c2_1(X78)
                | c3_1(X78) ) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( c3_1(X65)
                | c2_1(X65)
                | ~ c0_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | c1_1(X64)
                | c2_1(X64) ) )
          | hskp1 )
        & ( ~ hskp20
          | ( ~ c0_1(a233)
            & ndr1_0
            & c3_1(a233)
            & c2_1(a233) ) )
        & ( ( c0_1(a202)
            & ~ c3_1(a202)
            & ~ c2_1(a202)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( c2_1(a190)
            & c0_1(a190)
            & ndr1_0
            & ~ c3_1(a190) )
          | ~ hskp1 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | ~ c3_1(X22)
                | c2_1(X22) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c0_1(X24)
                | ~ c3_1(X24)
                | c1_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | ~ c2_1(X23)
                | c0_1(X23) ) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( c3_1(X58)
                | c2_1(X58)
                | ~ c0_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | ~ c2_1(X59)
                | ~ c1_1(X59) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | c2_1(X57)
                | c1_1(X57) ) ) )
        & ( ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | c0_1(X18)
                | c2_1(X18) ) )
          | hskp6 )
        & ( hskp4
          | ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | ~ c3_1(X52)
                | ~ c2_1(X52) ) )
          | hskp8 )
        & ( ( ~ c2_1(a221)
            & ~ c1_1(a221)
            & ~ c0_1(a221)
            & ndr1_0 )
          | ~ hskp16 )
        & ( hskp4
          | hskp7
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | c3_1(X93)
                | ~ c0_1(X93) ) ) )
        & ( ( ~ c3_1(a195)
            & ndr1_0
            & c0_1(a195)
            & ~ c1_1(a195) )
          | ~ hskp6 )
        & ( hskp12
          | ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | ~ c0_1(X98)
                | ~ c3_1(X98) ) )
          | hskp16 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c3_1(X73)
                | ~ c2_1(X73)
                | c1_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | ~ c0_1(X74)
                | c2_1(X74) ) )
          | hskp24 )
        & ( ~ hskp22
          | ( ~ c2_1(a259)
            & c3_1(a259)
            & ndr1_0
            & ~ c0_1(a259) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | c3_1(X27)
                | ~ c0_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | c1_1(X26)
                | c3_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | c0_1(X25)
                | c2_1(X25) ) ) )
        & ( ( c2_1(a210)
            & ~ c1_1(a210)
            & c3_1(a210)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c0_1(X7)
                | c1_1(X7) ) )
          | hskp1 )
        & ( ~ hskp25
          | ( c0_1(a230)
            & ndr1_0
            & c2_1(a230)
            & c1_1(a230) ) )
        & ( hskp3
          | ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | ~ c1_1(X88)
                | c2_1(X88) ) )
          | hskp12 )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | ~ c1_1(X82)
                | c3_1(X82) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c2_1(X80)
                | c1_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | c2_1(X81)
                | ~ c0_1(X81) ) ) )
        & ( hskp14
          | ! [X49] :
              ( ndr1_0
             => ( c1_1(X49)
                | ~ c2_1(X49)
                | ~ c3_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | ~ c3_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp20
          | hskp4
          | ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | ~ c0_1(X92)
                | ~ c3_1(X92) ) ) )
        & ( hskp5
          | hskp23
          | ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | ~ c2_1(X97)
                | ~ c3_1(X97) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c3_1(X2)
              | c1_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c2_1(X1)
              | c0_1(X1)
              | ~ c3_1(X1) ) ) )
      & ( hskp19
        | ! [X75] :
            ( ndr1_0
           => ( ~ c2_1(X75)
              | c3_1(X75)
              | c1_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c0_1(X76)
              | c3_1(X76)
              | ~ c2_1(X76) ) ) )
      & ( hskp0
        | hskp9
        | hskp1 )
      & ( ! [X45] :
            ( ndr1_0
           => ( c1_1(X45)
              | c2_1(X45)
              | c3_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | ~ c3_1(X44)
              | ~ c1_1(X44) ) )
        | hskp10 )
      & ( hskp15
        | hskp25
        | hskp2 )
      & ( hskp1
        | ! [X61] :
            ( ndr1_0
           => ( ~ c2_1(X61)
              | c3_1(X61)
              | ~ c0_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c0_1(X60)
              | c1_1(X60)
              | c2_1(X60) ) ) )
      & ( hskp4
        | ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | ~ c3_1(X16)
              | c1_1(X16) ) )
        | hskp3 )
      & ( hskp14
        | hskp12
        | hskp15 )
      & ( hskp6
        | ! [X42] :
            ( ndr1_0
           => ( ~ c1_1(X42)
              | ~ c2_1(X42)
              | c0_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c2_1(X43)
              | ~ c3_1(X43)
              | ~ c0_1(X43) ) ) )
      & ( hskp2
        | hskp23
        | hskp9 )
      & ( hskp5
        | ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c3_1(X17)
              | c2_1(X17) ) )
        | hskp6 )
      & ( hskp11
        | ! [X35] :
            ( ndr1_0
           => ( c3_1(X35)
              | c0_1(X35)
              | ~ c2_1(X35) ) )
        | hskp9 )
      & ( ! [X12] :
            ( ndr1_0
           => ( ~ c1_1(X12)
              | c0_1(X12)
              | ~ c3_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c2_1(X13)
              | c1_1(X13)
              | ~ c0_1(X13) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c2_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( ! [X84] :
            ( ndr1_0
           => ( ~ c1_1(X84)
              | ~ c2_1(X84)
              | c3_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | c2_1(X83)
              | c3_1(X83) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c1_1(X85)
              | ~ c0_1(X85) ) ) )
      & ( hskp13
        | ! [X46] :
            ( ndr1_0
           => ( ~ c2_1(X46)
              | ~ c3_1(X46)
              | c0_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c2_1(X47)
              | c1_1(X47)
              | c3_1(X47) ) ) )
      & ( ( ~ c3_1(a191)
          & ~ c2_1(a191)
          & ndr1_0
          & ~ c1_1(a191) )
        | ~ hskp2 )
      & ( ( ~ c1_1(a257)
          & ndr1_0
          & ~ c3_1(a257)
          & c2_1(a257) )
        | ~ hskp21 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | ~ c3_1(X50)
              | ~ c2_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c1_1(X51)
              | ~ c2_1(X51)
              | ~ c0_1(X51) ) )
        | hskp7 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c3_1(X95)
              | ~ c2_1(X95)
              | ~ c0_1(X95) ) )
        | hskp10
        | hskp24 )
      & ( ~ hskp17
        | ( c2_1(a222)
          & c1_1(a222)
          & ndr1_0
          & ~ c3_1(a222) ) )
      & ( ~ hskp4
        | ( ~ c0_1(a193)
          & ndr1_0
          & c1_1(a193)
          & ~ c3_1(a193) ) )
      & ( ( ndr1_0
          & c3_1(a209)
          & c1_1(a209)
          & ~ c0_1(a209) )
        | ~ hskp13 )
      & ( ~ hskp0
        | ( ndr1_0
          & ~ c1_1(a188)
          & ~ c3_1(a188)
          & ~ c0_1(a188) ) )
      & ( ( ~ c1_1(a200)
          & c3_1(a200)
          & ndr1_0
          & c0_1(a200) )
        | ~ hskp10 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c1_1(X62)
              | ~ c0_1(X62)
              | c2_1(X62) ) )
        | hskp9
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c1_1(X63)
              | ~ c0_1(X63) ) ) )
      & ( ~ hskp7
        | ( ~ c2_1(a197)
          & c1_1(a197)
          & ~ c0_1(a197)
          & ndr1_0 ) )
      & ( ( ~ c1_1(a199)
          & c2_1(a199)
          & ~ c0_1(a199)
          & ndr1_0 )
        | ~ hskp9 )
      & ( hskp2
        | hskp1
        | ! [X96] :
            ( ndr1_0
           => ( ~ c0_1(X96)
              | ~ c3_1(X96)
              | ~ c1_1(X96) ) ) )
      & ( ! [X15] :
            ( ndr1_0
           => ( ~ c0_1(X15)
              | c3_1(X15)
              | ~ c1_1(X15) ) )
        | hskp2
        | ! [X14] :
            ( ndr1_0
           => ( c1_1(X14)
              | ~ c3_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp17
        | ! [X72] :
            ( ndr1_0
           => ( ~ c0_1(X72)
              | c3_1(X72)
              | c1_1(X72) ) )
        | hskp18 )
      & ( ~ hskp23
        | ( c0_1(a189)
          & ndr1_0
          & c1_1(a189)
          & c3_1(a189) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c0_1(a194)
          & ~ c2_1(a194)
          & ~ c1_1(a194) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ c3_1(a192)
          & c0_1(a192)
          & c1_1(a192) ) )
      & ( ( ndr1_0
          & ~ c3_1(a206)
          & ~ c0_1(a206)
          & ~ c2_1(a206) )
        | ~ hskp12 )
      & ( ! [X94] :
            ( ndr1_0
           => ( ~ c0_1(X94)
              | ~ c1_1(X94)
              | c3_1(X94) ) )
        | hskp7
        | hskp9 )
      & ( ! [X31] :
            ( ndr1_0
           => ( ~ c2_1(X31)
              | c3_1(X31)
              | c0_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c3_1(X30)
              | ~ c1_1(X30) ) )
        | hskp5 )
      & ( ( c3_1(a198)
          & c1_1(a198)
          & ndr1_0
          & ~ c2_1(a198) )
        | ~ hskp8 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c3_1(X32)
              | c0_1(X32)
              | ~ c2_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c3_1(X33)
              | ~ c0_1(X33)
              | c2_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c1_1(X34)
              | ~ c2_1(X34)
              | ~ c0_1(X34) ) ) )
      & ( hskp15
        | hskp5
        | hskp21 )
      & ( ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c0_1(X69)
              | ~ c1_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c3_1(X68)
              | c1_1(X68)
              | ~ c0_1(X68) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | ~ c2_1(X70)
              | ~ c0_1(X70) ) ) )
      & ( hskp14
        | hskp7
        | hskp9 )
      & ( ! [X89] :
            ( ndr1_0
           => ( ~ c1_1(X89)
              | c2_1(X89)
              | ~ c0_1(X89) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c2_1(X90)
              | c3_1(X90)
              | ~ c1_1(X90) ) )
        | hskp12 )
      & ( ( ~ c2_1(a223)
          & c3_1(a223)
          & ndr1_0
          & ~ c1_1(a223) )
        | ~ hskp18 )
      & ( hskp13
        | ! [X86] :
            ( ndr1_0
           => ( c2_1(X86)
              | ~ c0_1(X86)
              | c3_1(X86) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | ~ c1_1(X87)
              | ~ c3_1(X87) ) ) )
      & ( hskp7
        | ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c2_1(X19)
              | ~ c1_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c1_1(X20)
              | ~ c2_1(X20)
              | ~ c3_1(X20) ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c3_1(a215)
          & c2_1(a215)
          & c1_1(a215) ) )
      & ( ! [X53] :
            ( ndr1_0
           => ( c2_1(X53)
              | c3_1(X53)
              | c1_1(X53) ) )
        | hskp15
        | ! [X54] :
            ( ndr1_0
           => ( ~ c1_1(X54)
              | c3_1(X54)
              | c2_1(X54) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | c3_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c0_1(X6)
              | ~ c1_1(X6) ) )
        | hskp23 )
      & ( hskp2
        | ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | ~ c1_1(X36)
              | ~ c2_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c2_1(X37)
              | c1_1(X37)
              | ~ c0_1(X37) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( ~ c0_1(X4)
              | ~ c3_1(X4)
              | c2_1(X4) ) )
        | hskp0 )
      & ( hskp16
        | hskp23
        | ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | ~ c0_1(X71)
              | c3_1(X71) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | ~ c1_1(X67)
              | c3_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | c2_1(X66)
              | ~ c3_1(X66) ) )
        | hskp13 )
      & ( hskp16
        | ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | ~ c1_1(X91)
              | c2_1(X91) ) )
        | hskp25 )
      & ( hskp22
        | hskp2
        | hskp24 )
      & ( ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | c1_1(X10)
              | c2_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c1_1(X9)
              | ~ c2_1(X9)
              | c0_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c0_1(X8)
              | c1_1(X8) ) ) )
      & ( ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | c0_1(X38)
              | ~ c2_1(X38) ) )
        | hskp0
        | ! [X39] :
            ( ndr1_0
           => ( c2_1(X39)
              | ~ c1_1(X39)
              | ~ c3_1(X39) ) ) )
      & ( hskp8
        | hskp9
        | ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | ~ c1_1(X21)
              | c2_1(X21) ) ) )
      & ( ! [X29] :
            ( ndr1_0
           => ( c2_1(X29)
              | ~ c0_1(X29)
              | c3_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c2_1(X28)
              | ~ c3_1(X28)
              | c0_1(X28) ) )
        | hskp10 )
      & ( ~ hskp15
        | ( ~ c3_1(a214)
          & ~ c0_1(a214)
          & c2_1(a214)
          & ndr1_0 ) )
      & ( ( ndr1_0
          & ~ c0_1(a225)
          & ~ c1_1(a225)
          & c3_1(a225) )
        | ~ hskp19 )
      & ( ! [X56] :
            ( ndr1_0
           => ( ~ c0_1(X56)
              | ~ c3_1(X56)
              | c1_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c1_1(X55)
              | c2_1(X55)
              | ~ c0_1(X55) ) )
        | hskp24 )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c2_1(X40)
              | ~ c1_1(X40)
              | c0_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | ~ c0_1(X41)
              | c3_1(X41) ) )
        | hskp12 )
      & ( ! [X79] :
            ( ndr1_0
           => ( ~ c1_1(X79)
              | ~ c2_1(X79)
              | ~ c0_1(X79) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | c1_1(X77)
              | ~ c2_1(X77) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | c2_1(X78)
              | c3_1(X78) ) ) )
      & ( ! [X65] :
            ( ndr1_0
           => ( c3_1(X65)
              | c2_1(X65)
              | ~ c0_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | c1_1(X64)
              | c2_1(X64) ) )
        | hskp1 )
      & ( ~ hskp20
        | ( ~ c0_1(a233)
          & ndr1_0
          & c3_1(a233)
          & c2_1(a233) ) )
      & ( ( c0_1(a202)
          & ~ c3_1(a202)
          & ~ c2_1(a202)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( c2_1(a190)
          & c0_1(a190)
          & ndr1_0
          & ~ c3_1(a190) )
        | ~ hskp1 )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | ~ c3_1(X22)
              | c2_1(X22) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c0_1(X24)
              | ~ c3_1(X24)
              | c1_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c1_1(X23)
              | ~ c2_1(X23)
              | c0_1(X23) ) ) )
      & ( ! [X58] :
            ( ndr1_0
           => ( c3_1(X58)
              | c2_1(X58)
              | ~ c0_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c0_1(X59)
              | ~ c2_1(X59)
              | ~ c1_1(X59) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c0_1(X57)
              | c2_1(X57)
              | c1_1(X57) ) ) )
      & ( ! [X18] :
            ( ndr1_0
           => ( c3_1(X18)
              | c0_1(X18)
              | c2_1(X18) ) )
        | hskp6 )
      & ( hskp4
        | ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | ~ c3_1(X52)
              | ~ c2_1(X52) ) )
        | hskp8 )
      & ( ( ~ c2_1(a221)
          & ~ c1_1(a221)
          & ~ c0_1(a221)
          & ndr1_0 )
        | ~ hskp16 )
      & ( hskp4
        | hskp7
        | ! [X93] :
            ( ndr1_0
           => ( ~ c1_1(X93)
              | c3_1(X93)
              | ~ c0_1(X93) ) ) )
      & ( ( ~ c3_1(a195)
          & ndr1_0
          & c0_1(a195)
          & ~ c1_1(a195) )
        | ~ hskp6 )
      & ( hskp12
        | ! [X98] :
            ( ndr1_0
           => ( ~ c2_1(X98)
              | ~ c0_1(X98)
              | ~ c3_1(X98) ) )
        | hskp16 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c3_1(X73)
              | ~ c2_1(X73)
              | c1_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c1_1(X74)
              | ~ c0_1(X74)
              | c2_1(X74) ) )
        | hskp24 )
      & ( ~ hskp22
        | ( ~ c2_1(a259)
          & c3_1(a259)
          & ndr1_0
          & ~ c0_1(a259) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( ~ c2_1(X27)
              | c3_1(X27)
              | ~ c0_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c2_1(X26)
              | c1_1(X26)
              | c3_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c3_1(X25)
              | c0_1(X25)
              | c2_1(X25) ) ) )
      & ( ( c2_1(a210)
          & ~ c1_1(a210)
          & c3_1(a210)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c0_1(X7)
              | c1_1(X7) ) )
        | hskp1 )
      & ( ~ hskp25
        | ( c0_1(a230)
          & ndr1_0
          & c2_1(a230)
          & c1_1(a230) ) )
      & ( hskp3
        | ! [X88] :
            ( ndr1_0
           => ( c3_1(X88)
              | ~ c1_1(X88)
              | c2_1(X88) ) )
        | hskp12 )
      & ( ! [X82] :
            ( ndr1_0
           => ( ~ c0_1(X82)
              | ~ c1_1(X82)
              | c3_1(X82) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c2_1(X80)
              | c1_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | c2_1(X81)
              | ~ c0_1(X81) ) ) )
      & ( hskp14
        | ! [X49] :
            ( ndr1_0
           => ( c1_1(X49)
              | ~ c2_1(X49)
              | ~ c3_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | ~ c3_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp20
        | hskp4
        | ! [X92] :
            ( ndr1_0
           => ( c2_1(X92)
              | ~ c0_1(X92)
              | ~ c3_1(X92) ) ) )
      & ( hskp5
        | hskp23
        | ! [X97] :
            ( ndr1_0
           => ( ~ c0_1(X97)
              | ~ c2_1(X97)
              | ~ c3_1(X97) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f880,plain,
    ( spl0_136
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f99,f208,f877]) ).

fof(f208,plain,
    ( spl0_1
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f99,plain,
    ( ~ hskp25
    | c1_1(a230) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f875,plain,
    ( spl0_7
    | spl0_15
    | ~ spl0_11
    | spl0_40 ),
    inference(avatar_split_clause,[],[f123,f380,f253,f272,f235]) ).

fof(f235,plain,
    ( spl0_7
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f272,plain,
    ( spl0_15
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f123,plain,
    ! [X34] :
      ( ~ c0_1(X34)
      | c3_1(X34)
      | ~ ndr1_0
      | ~ c1_1(X34)
      | hskp7
      | hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f873,plain,
    ( ~ spl0_135
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f143,f327,f870]) ).

fof(f327,plain,
    ( spl0_28
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f143,plain,
    ( ~ hskp16
    | ~ c1_1(a221) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f865,plain,
    ( spl0_134
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f81,f257,f862]) ).

fof(f257,plain,
    ( spl0_12
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f81,plain,
    ( ~ hskp3
    | c0_1(a192) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f860,plain,
    ( spl0_1
    | spl0_9
    | spl0_47 ),
    inference(avatar_split_clause,[],[f73,f407,f244,f208]) ).

fof(f244,plain,
    ( spl0_9
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f407,plain,
    ( spl0_47
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f73,plain,
    ( hskp15
    | hskp2
    | hskp25 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f846,plain,
    ( ~ spl0_47
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f21,f843,f407]) ).

fof(f21,plain,
    ( ~ c3_1(a214)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f836,plain,
    ( spl0_129
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f46,f235,f833]) ).

fof(f46,plain,
    ( ~ hskp9
    | c2_1(a199) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f831,plain,
    ( spl0_128
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f153,f239,f828]) ).

fof(f239,plain,
    ( spl0_8
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f153,plain,
    ( ~ hskp1
    | c0_1(a190) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f818,plain,
    ( ~ spl0_11
    | spl0_18
    | spl0_37
    | spl0_55 ),
    inference(avatar_split_clause,[],[f174,f445,f365,f285,f253]) ).

fof(f174,plain,
    ! [X40,X41,X39] :
      ( ~ c2_1(X39)
      | c0_1(X41)
      | ~ c2_1(X40)
      | c3_1(X39)
      | ~ ndr1_0
      | c3_1(X40)
      | c2_1(X41)
      | c1_1(X40)
      | ~ c0_1(X39)
      | ~ c3_1(X41) ),
    inference(duplicate_literal_removal,[],[f115]) ).

fof(f115,plain,
    ! [X40,X41,X39] :
      ( ~ ndr1_0
      | c1_1(X40)
      | c2_1(X41)
      | ~ c0_1(X39)
      | ~ c2_1(X39)
      | ~ c2_1(X40)
      | c0_1(X41)
      | ~ ndr1_0
      | c3_1(X39)
      | c3_1(X40)
      | ~ c3_1(X41)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f817,plain,
    ( spl0_126
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f102,f208,f814]) ).

fof(f102,plain,
    ( ~ hskp25
    | c0_1(a230) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f812,plain,
    ( spl0_31
    | spl0_77
    | spl0_72
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f175,f253,f526,f547,f340]) ).

fof(f340,plain,
    ( spl0_31
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f175,plain,
    ! [X80,X79] :
      ( ~ ndr1_0
      | c2_1(X80)
      | c0_1(X79)
      | ~ c3_1(X79)
      | c1_1(X80)
      | ~ c2_1(X79)
      | hskp13
      | c3_1(X80) ),
    inference(duplicate_literal_removal,[],[f33]) ).

fof(f33,plain,
    ! [X80,X79] :
      ( ~ ndr1_0
      | c0_1(X79)
      | c3_1(X80)
      | hskp13
      | ~ c2_1(X79)
      | ~ c3_1(X79)
      | c2_1(X80)
      | c1_1(X80)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f798,plain,
    ( spl0_123
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f35,f281,f795]) ).

fof(f281,plain,
    ( spl0_17
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f35,plain,
    ( ~ hskp24
    | c2_1(a215) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f787,plain,
    ( spl0_9
    | spl0_104
    | spl0_40
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f182,f253,f380,f692,f244]) ).

fof(f182,plain,
    ! [X88,X89] :
      ( ~ ndr1_0
      | c3_1(X88)
      | c0_1(X89)
      | c1_1(X89)
      | ~ c3_1(X89)
      | ~ c1_1(X88)
      | hskp2
      | ~ c0_1(X88) ),
    inference(duplicate_literal_removal,[],[f13]) ).

fof(f13,plain,
    ! [X88,X89] :
      ( c3_1(X88)
      | ~ c0_1(X88)
      | ~ ndr1_0
      | ~ c3_1(X89)
      | c0_1(X89)
      | ~ c1_1(X88)
      | c1_1(X89)
      | hskp2
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f786,plain,
    ( ~ spl0_45
    | spl0_11 ),
    inference(avatar_split_clause,[],[f17,f253,f399]) ).

fof(f399,plain,
    ( spl0_45
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f17,plain,
    ( ndr1_0
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f785,plain,
    ( spl0_33
    | spl0_58
    | spl0_28
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f62,f253,f327,f458,f350]) ).

fof(f350,plain,
    ( spl0_33
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f62,plain,
    ! [X65] :
      ( ~ ndr1_0
      | hskp16
      | ~ c0_1(X65)
      | c1_1(X65)
      | hskp23
      | c3_1(X65) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f784,plain,
    ( ~ spl0_33
    | spl0_121 ),
    inference(avatar_split_clause,[],[f42,f781,f350]) ).

fof(f42,plain,
    ( c0_1(a189)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f763,plain,
    ( ~ spl0_14
    | spl0_117 ),
    inference(avatar_split_clause,[],[f58,f760,f267]) ).

fof(f267,plain,
    ( spl0_14
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f58,plain,
    ( c3_1(a225)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f756,plain,
    ( ~ spl0_39
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f108,f753,f376]) ).

fof(f108,plain,
    ( ~ c0_1(a193)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f751,plain,
    ( ~ spl0_115
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f151,f239,f748]) ).

fof(f151,plain,
    ( ~ hskp1
    | ~ c3_1(a190) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f745,plain,
    ( ~ spl0_31
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f109,f742,f340]) ).

fof(f109,plain,
    ( ~ c0_1(a209)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f739,plain,
    ( ~ spl0_113
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f64,f272,f736]) ).

fof(f64,plain,
    ( ~ hskp7
    | ~ c0_1(a197) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f734,plain,
    ( spl0_112
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f131,f221,f731]) ).

fof(f221,plain,
    ( spl0_4
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f131,plain,
    ( ~ hskp6
    | c0_1(a195) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f729,plain,
    ( ~ spl0_14
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f60,f726,f267]) ).

fof(f60,plain,
    ( ~ c0_1(a225)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f724,plain,
    ( spl0_110
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f154,f239,f721]) ).

fof(f154,plain,
    ( ~ hskp1
    | c2_1(a190) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f713,plain,
    ( ~ spl0_27
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f29,f710,f322]) ).

fof(f322,plain,
    ( spl0_27
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f29,plain,
    ( ~ c1_1(a210)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f704,plain,
    ( spl0_106
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f36,f281,f701]) ).

fof(f36,plain,
    ( ~ hskp24
    | c3_1(a215) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f694,plain,
    ( ~ spl0_11
    | spl0_39
    | spl0_104
    | spl0_12 ),
    inference(avatar_split_clause,[],[f95,f257,f692,f376,f253]) ).

fof(f95,plain,
    ! [X53] :
      ( hskp3
      | ~ c3_1(X53)
      | hskp4
      | c0_1(X53)
      | ~ ndr1_0
      | c1_1(X53) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f690,plain,
    ( spl0_103
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f169,f292,f687]) ).

fof(f292,plain,
    ( spl0_20
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f169,plain,
    ( ~ hskp10
    | c3_1(a200) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f684,plain,
    ( spl0_45
    | spl0_57
    | spl0_33
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f10,f253,f350,f455,f399]) ).

fof(f10,plain,
    ! [X95] :
      ( ~ ndr1_0
      | hskp23
      | ~ c3_1(X95)
      | ~ c2_1(X95)
      | ~ c0_1(X95)
      | hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f683,plain,
    ( spl0_14
    | ~ spl0_11
    | spl0_55
    | spl0_18 ),
    inference(avatar_split_clause,[],[f186,f285,f445,f253,f267]) ).

fof(f186,plain,
    ! [X62,X61] :
      ( ~ c2_1(X61)
      | ~ c2_1(X62)
      | c3_1(X62)
      | ~ ndr1_0
      | hskp19
      | c3_1(X61)
      | ~ c0_1(X62)
      | c1_1(X61) ),
    inference(duplicate_literal_removal,[],[f74]) ).

fof(f74,plain,
    ! [X62,X61] :
      ( ~ c2_1(X61)
      | hskp19
      | c3_1(X62)
      | c1_1(X61)
      | ~ ndr1_0
      | ~ c0_1(X62)
      | c3_1(X61)
      | ~ ndr1_0
      | ~ c2_1(X62) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f682,plain,
    ( ~ spl0_9
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f25,f679,f244]) ).

fof(f25,plain,
    ( ~ c2_1(a191)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f677,plain,
    ( ~ spl0_31
    | spl0_101 ),
    inference(avatar_split_clause,[],[f111,f674,f340]) ).

fof(f111,plain,
    ( c3_1(a209)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f672,plain,
    ( ~ spl0_11
    | spl0_100
    | spl0_37
    | spl0_72 ),
    inference(avatar_split_clause,[],[f187,f526,f365,f670,f253]) ).

fof(f187,plain,
    ! [X8,X6,X7] :
      ( c1_1(X6)
      | c0_1(X7)
      | c2_1(X7)
      | c1_1(X8)
      | c2_1(X6)
      | c2_1(X8)
      | ~ ndr1_0
      | c3_1(X6)
      | c0_1(X8)
      | ~ c3_1(X7) ),
    inference(duplicate_literal_removal,[],[f157]) ).

fof(f157,plain,
    ! [X8,X6,X7] :
      ( c0_1(X8)
      | c2_1(X8)
      | ~ ndr1_0
      | c1_1(X8)
      | ~ ndr1_0
      | ~ ndr1_0
      | c1_1(X6)
      | c0_1(X7)
      | c2_1(X6)
      | c2_1(X7)
      | c3_1(X6)
      | ~ c3_1(X7) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f668,plain,
    ( spl0_44
    | spl0_7
    | ~ spl0_11
    | spl0_52 ),
    inference(avatar_split_clause,[],[f188,f431,f253,f235,f395]) ).

fof(f188,plain,
    ! [X98,X97] :
      ( ~ c0_1(X98)
      | ~ ndr1_0
      | hskp9
      | ~ c3_1(X97)
      | c1_1(X98)
      | c2_1(X98)
      | ~ c1_1(X97)
      | ~ c0_1(X97) ),
    inference(duplicate_literal_removal,[],[f8]) ).

fof(f8,plain,
    ! [X98,X97] :
      ( ~ ndr1_0
      | ~ c3_1(X97)
      | ~ ndr1_0
      | hskp9
      | ~ c0_1(X98)
      | c2_1(X98)
      | ~ c0_1(X97)
      | ~ c1_1(X97)
      | c1_1(X98) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f667,plain,
    ( spl0_99
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f19,f407,f664]) ).

fof(f19,plain,
    ( ~ hskp15
    | c2_1(a214) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f662,plain,
    ( ~ spl0_45
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f15,f659,f399]) ).

fof(f15,plain,
    ( ~ c2_1(a194)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f657,plain,
    ( ~ spl0_4
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f133,f654,f221]) ).

fof(f133,plain,
    ( ~ c3_1(a195)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f652,plain,
    ( spl0_11
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f127,f403,f253]) ).

fof(f403,plain,
    ( spl0_46
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f127,plain,
    ( ~ hskp21
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f651,plain,
    ( spl0_33
    | ~ spl0_11
    | spl0_54
    | spl0_42 ),
    inference(avatar_split_clause,[],[f189,f387,f441,f253,f350]) ).

fof(f189,plain,
    ! [X59,X60] :
      ( ~ c1_1(X60)
      | c1_1(X59)
      | c0_1(X59)
      | ~ ndr1_0
      | c2_1(X60)
      | hskp23
      | c3_1(X59)
      | c0_1(X60) ),
    inference(duplicate_literal_removal,[],[f79]) ).

fof(f79,plain,
    ! [X59,X60] :
      ( ~ ndr1_0
      | c3_1(X59)
      | c0_1(X60)
      | hskp23
      | c1_1(X59)
      | ~ c1_1(X60)
      | c0_1(X59)
      | ~ ndr1_0
      | c2_1(X60) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f650,plain,
    ( ~ spl0_32
    | spl0_96 ),
    inference(avatar_split_clause,[],[f160,f647,f345]) ).

fof(f160,plain,
    ( c1_1(a198)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f645,plain,
    ( ~ spl0_95
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f105,f376,f642]) ).

fof(f105,plain,
    ( ~ hskp4
    | ~ c3_1(a193) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f639,plain,
    ( spl0_94
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f161,f345,f636]) ).

fof(f161,plain,
    ( ~ hskp8
    | c3_1(a198) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f633,plain,
    ( ~ spl0_20
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f170,f630,f292]) ).

fof(f170,plain,
    ( ~ c1_1(a200)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f628,plain,
    ( spl0_9
    | spl0_8
    | ~ spl0_11
    | spl0_44 ),
    inference(avatar_split_clause,[],[f96,f395,f253,f239,f244]) ).

fof(f96,plain,
    ! [X52] :
      ( ~ c1_1(X52)
      | ~ ndr1_0
      | ~ c0_1(X52)
      | ~ c3_1(X52)
      | hskp1
      | hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f622,plain,
    ( ~ spl0_46
    | spl0_91 ),
    inference(avatar_split_clause,[],[f125,f619,f403]) ).

fof(f125,plain,
    ( c2_1(a257)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f616,plain,
    ( ~ spl0_90
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f158,f345,f613]) ).

fof(f158,plain,
    ( ~ hskp8
    | ~ c2_1(a198) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f611,plain,
    ( ~ spl0_12
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f82,f608,f257]) ).

fof(f82,plain,
    ( ~ c3_1(a192)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f606,plain,
    ( spl0_88
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f16,f399,f603]) ).

fof(f16,plain,
    ( ~ hskp5
    | c0_1(a194) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f596,plain,
    ( ~ spl0_28
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f144,f593,f327]) ).

fof(f144,plain,
    ( ~ c2_1(a221)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f582,plain,
    ( ~ spl0_11
    | spl0_52
    | spl0_9
    | spl0_36 ),
    inference(avatar_split_clause,[],[f190,f362,f244,f431,f253]) ).

fof(f190,plain,
    ! [X32,X33] :
      ( c0_1(X33)
      | hskp2
      | ~ c2_1(X33)
      | ~ c1_1(X33)
      | c2_1(X32)
      | ~ ndr1_0
      | ~ c0_1(X32)
      | c1_1(X32) ),
    inference(duplicate_literal_removal,[],[f124]) ).

fof(f124,plain,
    ! [X32,X33] :
      ( ~ ndr1_0
      | ~ c0_1(X32)
      | ~ c1_1(X33)
      | ~ ndr1_0
      | c2_1(X32)
      | ~ c2_1(X33)
      | c0_1(X33)
      | hskp2
      | c1_1(X32) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f579,plain,
    ( ~ spl0_11
    | spl0_82
    | spl0_83
    | spl0_45 ),
    inference(avatar_split_clause,[],[f191,f399,f577,f574,f253]) ).

fof(f191,plain,
    ! [X46,X47] :
      ( hskp5
      | ~ c1_1(X46)
      | c3_1(X46)
      | ~ c2_1(X47)
      | c3_1(X47)
      | c0_1(X46)
      | ~ ndr1_0
      | c0_1(X47) ),
    inference(duplicate_literal_removal,[],[f104]) ).

fof(f104,plain,
    ! [X46,X47] :
      ( ~ c2_1(X47)
      | hskp5
      | c3_1(X47)
      | ~ ndr1_0
      | c0_1(X46)
      | c3_1(X46)
      | ~ c1_1(X46)
      | c0_1(X47)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f567,plain,
    ( ~ spl0_27
    | spl0_80 ),
    inference(avatar_split_clause,[],[f30,f564,f322]) ).

fof(f30,plain,
    ( c2_1(a210)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f562,plain,
    ( spl0_7
    | spl0_33
    | spl0_9 ),
    inference(avatar_split_clause,[],[f165,f244,f350,f235]) ).

fof(f165,plain,
    ( hskp2
    | hskp23
    | hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f560,plain,
    ( spl0_11
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f18,f407,f253]) ).

fof(f18,plain,
    ( ~ hskp15
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f559,plain,
    ( ~ spl0_39
    | spl0_79 ),
    inference(avatar_split_clause,[],[f106,f556,f376]) ).

fof(f106,plain,
    ( c1_1(a193)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f554,plain,
    ( ~ spl0_46
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f126,f551,f403]) ).

fof(f126,plain,
    ( ~ c3_1(a257)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f549,plain,
    ( spl0_27
    | ~ spl0_11
    | spl0_76
    | spl0_77 ),
    inference(avatar_split_clause,[],[f193,f547,f544,f253,f322]) ).

fof(f193,plain,
    ! [X31,X30] :
      ( ~ c2_1(X30)
      | ~ c3_1(X31)
      | ~ c2_1(X31)
      | c1_1(X31)
      | ~ ndr1_0
      | ~ c3_1(X30)
      | c0_1(X30)
      | hskp14 ),
    inference(duplicate_literal_removal,[],[f129]) ).

fof(f129,plain,
    ! [X31,X30] :
      ( ~ c2_1(X31)
      | ~ c3_1(X30)
      | hskp14
      | ~ c2_1(X30)
      | ~ ndr1_0
      | c1_1(X31)
      | c0_1(X30)
      | ~ c3_1(X31)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f537,plain,
    ( ~ spl0_7
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f47,f534,f235]) ).

fof(f47,plain,
    ( ~ c1_1(a199)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f532,plain,
    ( spl0_73
    | ~ spl0_11
    | spl0_71
    | spl0_52 ),
    inference(avatar_split_clause,[],[f194,f431,f523,f253,f530]) ).

fof(f194,plain,
    ! [X82,X83,X81] :
      ( ~ c0_1(X81)
      | c2_1(X81)
      | c1_1(X81)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | c0_1(X83)
      | c1_1(X82)
      | ~ c1_1(X83)
      | ~ c2_1(X82)
      | c0_1(X82) ),
    inference(duplicate_literal_removal,[],[f32]) ).

fof(f32,plain,
    ! [X82,X83,X81] :
      ( c2_1(X81)
      | ~ ndr1_0
      | c1_1(X82)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | c0_1(X82)
      | c0_1(X83)
      | ~ c1_1(X83)
      | ~ c0_1(X81)
      | ~ c2_1(X82)
      | ~ ndr1_0
      | c1_1(X81) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f528,plain,
    ( spl0_20
    | ~ spl0_11
    | spl0_71
    | spl0_72 ),
    inference(avatar_split_clause,[],[f195,f526,f523,f253,f292]) ).

fof(f195,plain,
    ! [X28,X29] :
      ( c2_1(X28)
      | c3_1(X28)
      | ~ c3_1(X29)
      | ~ ndr1_0
      | c0_1(X29)
      | ~ c1_1(X29)
      | hskp10
      | c1_1(X28) ),
    inference(duplicate_literal_removal,[],[f134]) ).

fof(f134,plain,
    ! [X28,X29] :
      ( c3_1(X28)
      | ~ c3_1(X29)
      | ~ ndr1_0
      | c1_1(X28)
      | c0_1(X29)
      | ~ c1_1(X29)
      | hskp10
      | ~ ndr1_0
      | c2_1(X28) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f512,plain,
    ( ~ spl0_14
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f59,f509,f267]) ).

fof(f59,plain,
    ( ~ c1_1(a225)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f507,plain,
    ( ~ spl0_7
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f45,f504,f235]) ).

fof(f45,plain,
    ( ~ c0_1(a199)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f500,plain,
    ( ~ spl0_45
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f14,f497,f399]) ).

fof(f14,plain,
    ( ~ c1_1(a194)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f495,plain,
    ( spl0_40
    | ~ spl0_11
    | spl0_31
    | spl0_65 ),
    inference(avatar_split_clause,[],[f197,f493,f340,f253,f380]) ).

fof(f197,plain,
    ! [X66,X67] :
      ( ~ c3_1(X67)
      | c1_1(X67)
      | hskp13
      | ~ ndr1_0
      | c3_1(X66)
      | c2_1(X67)
      | ~ c0_1(X66)
      | ~ c1_1(X66) ),
    inference(duplicate_literal_removal,[],[f57]) ).

fof(f57,plain,
    ! [X66,X67] :
      ( ~ ndr1_0
      | ~ c3_1(X67)
      | ~ ndr1_0
      | hskp13
      | ~ c1_1(X66)
      | c2_1(X67)
      | c3_1(X66)
      | ~ c0_1(X66)
      | c1_1(X67) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f491,plain,
    ( ~ spl0_17
    | spl0_64 ),
    inference(avatar_split_clause,[],[f34,f488,f281]) ).

fof(f34,plain,
    ( c1_1(a215)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f486,plain,
    ( ~ spl0_46
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f128,f483,f403]) ).

fof(f128,plain,
    ( ~ c1_1(a257)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f481,plain,
    ( ~ spl0_11
    | spl0_4
    | spl0_36
    | spl0_57 ),
    inference(avatar_split_clause,[],[f198,f455,f362,f221,f253]) ).

fof(f198,plain,
    ! [X63,X64] :
      ( ~ c2_1(X64)
      | ~ c0_1(X64)
      | ~ c1_1(X63)
      | hskp6
      | ~ ndr1_0
      | c0_1(X63)
      | ~ c2_1(X63)
      | ~ c3_1(X64) ),
    inference(duplicate_literal_removal,[],[f72]) ).

fof(f72,plain,
    ! [X63,X64] :
      ( ~ c2_1(X64)
      | hskp6
      | ~ c1_1(X63)
      | ~ ndr1_0
      | c0_1(X63)
      | ~ c3_1(X64)
      | ~ c2_1(X63)
      | ~ ndr1_0
      | ~ c0_1(X64) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f470,plain,
    ( ~ spl0_25
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f77,f467,f313]) ).

fof(f313,plain,
    ( spl0_25
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f77,plain,
    ( ~ c3_1(a206)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f465,plain,
    ( ~ spl0_15
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f66,f462,f272]) ).

fof(f66,plain,
    ( ~ c2_1(a197)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f460,plain,
    ( ~ spl0_11
    | spl0_57
    | spl0_44
    | spl0_58 ),
    inference(avatar_split_clause,[],[f199,f458,f395,f455,f253]) ).

fof(f199,plain,
    ! [X26,X27,X25] :
      ( ~ c0_1(X26)
      | c3_1(X26)
      | ~ c0_1(X25)
      | ~ c2_1(X27)
      | c1_1(X26)
      | ~ c3_1(X27)
      | ~ c0_1(X27)
      | ~ c3_1(X25)
      | ~ c1_1(X25)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f135]) ).

fof(f135,plain,
    ! [X26,X27,X25] :
      ( c3_1(X26)
      | ~ ndr1_0
      | ~ c3_1(X27)
      | ~ c0_1(X27)
      | ~ ndr1_0
      | ~ c1_1(X25)
      | ~ ndr1_0
      | ~ c3_1(X25)
      | ~ c0_1(X26)
      | ~ c2_1(X27)
      | ~ c0_1(X25)
      | c1_1(X26) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f453,plain,
    ( ~ spl0_12
    | spl0_56 ),
    inference(avatar_split_clause,[],[f80,f450,f257]) ).

fof(f80,plain,
    ( c1_1(a192)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f447,plain,
    ( ~ spl0_11
    | spl0_17
    | spl0_20
    | spl0_55 ),
    inference(avatar_split_clause,[],[f163,f445,f292,f281,f253]) ).

fof(f163,plain,
    ! [X3] :
      ( ~ c0_1(X3)
      | c3_1(X3)
      | hskp10
      | ~ c2_1(X3)
      | hskp24
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f443,plain,
    ( spl0_54
    | spl0_8
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f85,f253,f239,f441]) ).

fof(f85,plain,
    ! [X56] :
      ( ~ ndr1_0
      | hskp1
      | c0_1(X56)
      | c1_1(X56)
      | c3_1(X56) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f439,plain,
    ( spl0_25
    | spl0_36
    | spl0_40
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f200,f253,f380,f362,f313]) ).

fof(f200,plain,
    ! [X14,X13] :
      ( ~ ndr1_0
      | ~ c0_1(X13)
      | ~ c1_1(X14)
      | ~ c2_1(X14)
      | c3_1(X13)
      | c0_1(X14)
      | ~ c1_1(X13)
      | hskp12 ),
    inference(duplicate_literal_removal,[],[f149]) ).

fof(f149,plain,
    ! [X14,X13] :
      ( ~ ndr1_0
      | ~ c0_1(X13)
      | ~ c1_1(X14)
      | c0_1(X14)
      | hskp12
      | c3_1(X13)
      | ~ c2_1(X14)
      | ~ c1_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f438,plain,
    ( ~ spl0_33
    | spl0_53 ),
    inference(avatar_split_clause,[],[f40,f435,f350]) ).

fof(f40,plain,
    ( c1_1(a189)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f433,plain,
    ( spl0_35
    | spl0_17
    | ~ spl0_11
    | spl0_52 ),
    inference(avatar_split_clause,[],[f201,f431,f253,f281,f359]) ).

fof(f201,plain,
    ! [X94,X93] :
      ( c2_1(X94)
      | ~ ndr1_0
      | c1_1(X94)
      | hskp24
      | ~ c3_1(X93)
      | ~ c0_1(X94)
      | ~ c0_1(X93)
      | c1_1(X93) ),
    inference(duplicate_literal_removal,[],[f11]) ).

fof(f11,plain,
    ! [X94,X93] :
      ( hskp24
      | c1_1(X94)
      | ~ ndr1_0
      | ~ c0_1(X93)
      | ~ ndr1_0
      | ~ c3_1(X93)
      | ~ c0_1(X94)
      | c2_1(X94)
      | c1_1(X93) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f429,plain,
    ( ~ spl0_51
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f20,f407,f426]) ).

fof(f20,plain,
    ( ~ hskp15
    | ~ c0_1(a214) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f424,plain,
    ( ~ spl0_50
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f75,f313,f421]) ).

fof(f75,plain,
    ( ~ hskp12
    | ~ c2_1(a206) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f410,plain,
    ( spl0_45
    | spl0_46
    | spl0_47 ),
    inference(avatar_split_clause,[],[f67,f407,f403,f399]) ).

fof(f67,plain,
    ( hskp15
    | hskp21
    | hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f382,plain,
    ( ~ spl0_11
    | spl0_39
    | spl0_15
    | spl0_40 ),
    inference(avatar_split_clause,[],[f122,f380,f272,f376,f253]) ).

fof(f122,plain,
    ! [X35] :
      ( ~ c0_1(X35)
      | hskp7
      | hskp4
      | c3_1(X35)
      | ~ c1_1(X35)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f374,plain,
    ( ~ spl0_38
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f76,f313,f371]) ).

fof(f76,plain,
    ( ~ hskp12
    | ~ c0_1(a206) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f357,plain,
    ( ~ spl0_33
    | spl0_34 ),
    inference(avatar_split_clause,[],[f39,f354,f350]) ).

fof(f39,plain,
    ( c3_1(a189)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f343,plain,
    ( spl0_30
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f110,f340,f336]) ).

fof(f110,plain,
    ( ~ hskp13
    | c1_1(a209) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f334,plain,
    ( ~ spl0_28
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f142,f331,f327]) ).

fof(f142,plain,
    ( ~ c0_1(a221)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f325,plain,
    ( spl0_26
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f28,f322,f318]) ).

fof(f28,plain,
    ( ~ hskp14
    | c3_1(a210) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f299,plain,
    ( ~ spl0_20
    | spl0_21 ),
    inference(avatar_split_clause,[],[f167,f296,f292]) ).

fof(f167,plain,
    ( c0_1(a200)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f279,plain,
    ( ~ spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f65,f276,f272]) ).

fof(f65,plain,
    ( c1_1(a197)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f265,plain,
    ( ~ spl0_9
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f26,f262,f244]) ).

fof(f26,plain,
    ( ~ c3_1(a191)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f251,plain,
    ( ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f23,f248,f244]) ).

fof(f23,plain,
    ( ~ c1_1(a191)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f224,plain,
    ( ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f130,f221,f217]) ).

fof(f130,plain,
    ( ~ hskp6
    | ~ c1_1(a195) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f215,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f100,f212,f208]) ).

fof(f100,plain,
    ( c2_1(a230)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN459+1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 22:06:04 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.21/0.49  % (2582)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.50  % (2594)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.50  % (2591)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.21/0.50  % (2586)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.50  % (2591)Instruction limit reached!
% 0.21/0.50  % (2591)------------------------------
% 0.21/0.50  % (2591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (2586)Instruction limit reached!
% 0.21/0.50  % (2586)------------------------------
% 0.21/0.50  % (2586)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (2586)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (2586)Termination reason: Unknown
% 0.21/0.50  % (2586)Termination phase: Preprocessing 3
% 0.21/0.50  
% 0.21/0.50  % (2586)Memory used [KB]: 1663
% 0.21/0.50  % (2586)Time elapsed: 0.005 s
% 0.21/0.50  % (2586)Instructions burned: 4 (million)
% 0.21/0.50  % (2586)------------------------------
% 0.21/0.50  % (2586)------------------------------
% 0.21/0.50  % (2582)Instruction limit reached!
% 0.21/0.50  % (2582)------------------------------
% 0.21/0.50  % (2582)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (2582)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (2582)Termination reason: Unknown
% 0.21/0.50  % (2582)Termination phase: Saturation
% 0.21/0.50  
% 0.21/0.50  % (2582)Memory used [KB]: 6780
% 0.21/0.50  % (2582)Time elapsed: 0.077 s
% 0.21/0.50  % (2582)Instructions burned: 12 (million)
% 0.21/0.50  % (2582)------------------------------
% 0.21/0.50  % (2582)------------------------------
% 0.21/0.50  % (2578)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.50  % (2591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (2591)Termination reason: Unknown
% 0.21/0.50  % (2591)Termination phase: Saturation
% 0.21/0.50  
% 0.21/0.50  % (2591)Memory used [KB]: 6780
% 0.21/0.50  % (2591)Time elapsed: 0.090 s
% 0.21/0.50  % (2591)Instructions burned: 12 (million)
% 0.21/0.50  % (2591)------------------------------
% 0.21/0.50  % (2591)------------------------------
% 0.21/0.53  % (2575)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53  % (2573)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.53  % (2572)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.53  % (2596)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53  % (2600)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.53  % (2580)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.53  % (2579)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.53  % (2576)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.53  % (2577)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.41/0.54  % (2601)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.41/0.54  % (2576)Instruction limit reached!
% 1.41/0.54  % (2576)------------------------------
% 1.41/0.54  % (2576)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54  % (2576)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.54  % (2576)Termination reason: Unknown
% 1.41/0.54  % (2576)Termination phase: Saturation
% 1.41/0.54  
% 1.41/0.54  % (2576)Memory used [KB]: 6780
% 1.41/0.54  % (2576)Time elapsed: 0.135 s
% 1.41/0.54  % (2576)Instructions burned: 14 (million)
% 1.41/0.54  % (2576)------------------------------
% 1.41/0.54  % (2576)------------------------------
% 1.41/0.54  % (2597)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.41/0.54  % (2595)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.41/0.54  % (2593)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.41/0.54  % (2588)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.41/0.54  % (2592)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.41/0.55  % (2594)First to succeed.
% 1.41/0.55  % (2587)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.41/0.55  % (2585)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.41/0.55  % (2583)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.41/0.55  % (2589)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.41/0.55  % (2584)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.41/0.55  % (2589)Instruction limit reached!
% 1.41/0.55  % (2589)------------------------------
% 1.41/0.55  % (2589)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.55  % (2589)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.55  % (2589)Termination reason: Unknown
% 1.41/0.55  % (2589)Termination phase: Naming
% 1.41/0.55  
% 1.41/0.55  % (2589)Memory used [KB]: 1663
% 1.41/0.55  % (2589)Time elapsed: 0.003 s
% 1.41/0.55  % (2589)Instructions burned: 3 (million)
% 1.41/0.55  % (2589)------------------------------
% 1.41/0.55  % (2589)------------------------------
% 1.41/0.55  % (2583)Instruction limit reached!
% 1.41/0.55  % (2583)------------------------------
% 1.41/0.55  % (2583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.55  % (2587)Instruction limit reached!
% 1.41/0.55  % (2587)------------------------------
% 1.41/0.55  % (2587)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.55  % (2587)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.55  % (2583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.55  % (2587)Termination reason: Unknown
% 1.41/0.55  % (2583)Termination reason: Unknown
% 1.41/0.55  % (2587)Termination phase: Saturation
% 1.41/0.55  % (2583)Termination phase: Saturation
% 1.41/0.55  
% 1.41/0.55  
% 1.41/0.55  % (2587)Memory used [KB]: 6652
% 1.41/0.55  % (2583)Memory used [KB]: 6524
% 1.41/0.55  % (2587)Time elapsed: 0.005 s
% 1.41/0.55  % (2583)Time elapsed: 0.005 s
% 1.41/0.55  % (2587)Instructions burned: 8 (million)
% 1.41/0.55  % (2583)Instructions burned: 8 (million)
% 1.41/0.55  % (2587)------------------------------
% 1.41/0.55  % (2587)------------------------------
% 1.41/0.55  % (2583)------------------------------
% 1.41/0.55  % (2583)------------------------------
% 1.41/0.55  % (2573)Instruction limit reached!
% 1.41/0.55  % (2573)------------------------------
% 1.41/0.55  % (2573)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.55  % (2573)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.55  % (2573)Termination reason: Unknown
% 1.57/0.55  % (2573)Termination phase: Saturation
% 1.57/0.55  
% 1.57/0.55  % (2573)Memory used [KB]: 6908
% 1.57/0.55  % (2573)Time elapsed: 0.008 s
% 1.57/0.55  % (2573)Instructions burned: 14 (million)
% 1.57/0.55  % (2573)------------------------------
% 1.57/0.55  % (2573)------------------------------
% 1.57/0.56  % (2600)Instruction limit reached!
% 1.57/0.56  % (2600)------------------------------
% 1.57/0.56  % (2600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.56  % (2600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.56  % (2600)Termination reason: Unknown
% 1.57/0.56  % (2600)Termination phase: Saturation
% 1.57/0.56  
% 1.57/0.56  % (2600)Memory used [KB]: 6652
% 1.57/0.56  % (2600)Time elapsed: 0.155 s
% 1.57/0.56  % (2600)Instructions burned: 9 (million)
% 1.57/0.56  % (2600)------------------------------
% 1.57/0.56  % (2600)------------------------------
% 1.57/0.56  % (2577)Instruction limit reached!
% 1.57/0.56  % (2577)------------------------------
% 1.57/0.56  % (2577)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.56  % (2577)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.56  % (2577)Termination reason: Unknown
% 1.57/0.56  % (2577)Termination phase: Saturation
% 1.57/0.56  
% 1.57/0.56  % (2577)Memory used [KB]: 1918
% 1.57/0.56  % (2577)Time elapsed: 0.138 s
% 1.57/0.56  % (2577)Instructions burned: 16 (million)
% 1.57/0.56  % (2577)------------------------------
% 1.57/0.56  % (2577)------------------------------
% 1.57/0.56  % (2578)Instruction limit reached!
% 1.57/0.56  % (2578)------------------------------
% 1.57/0.56  % (2578)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.56  % (2578)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.56  % (2578)Termination reason: Unknown
% 1.57/0.56  % (2578)Termination phase: Saturation
% 1.57/0.56  
% 1.57/0.56  % (2578)Memory used [KB]: 7291
% 1.57/0.56  % (2578)Time elapsed: 0.104 s
% 1.57/0.56  % (2578)Instructions burned: 40 (million)
% 1.57/0.56  % (2578)------------------------------
% 1.57/0.56  % (2578)------------------------------
% 1.57/0.56  % (2598)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.57/0.56  % (2574)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.57/0.56  % (2574)Instruction limit reached!
% 1.57/0.56  % (2574)------------------------------
% 1.57/0.56  % (2574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.56  % (2574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.56  % (2574)Termination reason: Unknown
% 1.57/0.56  % (2574)Termination phase: Preprocessing 2
% 1.57/0.56  
% 1.57/0.56  % (2574)Memory used [KB]: 1663
% 1.57/0.56  % (2574)Time elapsed: 0.002 s
% 1.57/0.56  % (2574)Instructions burned: 3 (million)
% 1.57/0.56  % (2574)------------------------------
% 1.57/0.56  % (2574)------------------------------
% 1.57/0.56  % (2584)Instruction limit reached!
% 1.57/0.56  % (2584)------------------------------
% 1.57/0.56  % (2584)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.57  % (2590)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.57/0.57  % (2584)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57  % (2584)Termination reason: Unknown
% 1.57/0.57  % (2584)Termination phase: Saturation
% 1.57/0.57  
% 1.57/0.57  % (2584)Memory used [KB]: 1918
% 1.57/0.57  % (2584)Time elapsed: 0.170 s
% 1.57/0.57  % (2584)Instructions burned: 17 (million)
% 1.57/0.57  % (2584)------------------------------
% 1.57/0.57  % (2584)------------------------------
% 1.57/0.57  % (2619)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 1.57/0.57  % (2581)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.57/0.57  % (2594)Refutation found. Thanks to Tanya!
% 1.57/0.57  % SZS status Theorem for theBenchmark
% 1.57/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.57/0.58  % (2594)------------------------------
% 1.57/0.58  % (2594)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.58  % (2594)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.58  % (2594)Termination reason: Refutation
% 1.57/0.58  
% 1.57/0.58  % (2594)Memory used [KB]: 8059
% 1.57/0.58  % (2594)Time elapsed: 0.115 s
% 1.57/0.58  % (2594)Instructions burned: 46 (million)
% 1.57/0.58  % (2594)------------------------------
% 1.57/0.58  % (2594)------------------------------
% 1.57/0.58  % (2569)Success in time 0.222 s
%------------------------------------------------------------------------------