TSTP Solution File: SYN488+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN488+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_sat --cores 0 -t %d %s

% Computer : n013.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 19:38:28 EDT 2022

% Result   : Theorem 2.23s 0.69s
% Output   : Refutation 2.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  166
% Syntax   : Number of formulae    :  728 (   1 unt;   0 def)
%            Number of atoms       : 6639 (   0 equ)
%            Maximal formula atoms :  722 (   9 avg)
%            Number of connectives : 8792 (2881   ~;4080   |;1218   &)
%                                         ( 165 <=>; 448  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  117 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  203 ( 202 usr; 199 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  813 ( 813   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2377,plain,
    $false,
    inference(avatar_sat_refutation,[],[f234,f242,f247,f258,f275,f302,f314,f327,f336,f340,f345,f355,f359,f373,f386,f403,f412,f414,f432,f441,f450,f454,f463,f468,f477,f485,f490,f495,f502,f507,f516,f517,f518,f519,f525,f530,f539,f544,f548,f552,f553,f558,f559,f560,f565,f570,f575,f580,f585,f590,f592,f597,f602,f607,f612,f617,f622,f627,f632,f637,f643,f648,f649,f654,f655,f656,f661,f666,f675,f676,f677,f682,f687,f697,f702,f703,f709,f710,f711,f716,f721,f722,f727,f732,f734,f739,f744,f753,f763,f770,f786,f787,f791,f796,f801,f807,f808,f814,f821,f826,f827,f832,f834,f835,f846,f851,f856,f860,f861,f867,f877,f878,f888,f889,f895,f906,f913,f919,f920,f921,f927,f932,f937,f942,f943,f950,f955,f956,f957,f962,f968,f973,f978,f980,f986,f996,f997,f1004,f1009,f1012,f1017,f1032,f1037,f1038,f1046,f1054,f1064,f1082,f1087,f1092,f1093,f1102,f1108,f1127,f1139,f1157,f1158,f1190,f1199,f1212,f1227,f1255,f1260,f1262,f1276,f1284,f1296,f1312,f1313,f1314,f1319,f1321,f1339,f1340,f1356,f1361,f1386,f1389,f1390,f1421,f1473,f1475,f1477,f1499,f1504,f1517,f1523,f1531,f1561,f1562,f1563,f1583,f1585,f1586,f1587,f1637,f1640,f1641,f1643,f1662,f1663,f1664,f1665,f1666,f1674,f1684,f1690,f1702,f1790,f1792,f1837,f1852,f1870,f1892,f1929,f1931,f1986,f1995,f2008,f2009,f2011,f2012,f2088,f2089,f2096,f2127,f2128,f2171,f2172,f2174,f2175,f2224,f2225,f2371,f2373,f2376]) ).

fof(f2376,plain,
    ( spl0_9
    | ~ spl0_175
    | ~ spl0_31
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2294,f929,f338,f1257,f244]) ).

fof(f244,plain,
    ( spl0_9
  <=> c2_1(a2410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1257,plain,
    ( spl0_175
  <=> c3_1(a2410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f338,plain,
    ( spl0_31
  <=> ! [X53] :
        ( c2_1(X53)
        | ~ c1_1(X53)
        | ~ c3_1(X53) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f929,plain,
    ( spl0_144
  <=> c1_1(a2410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2294,plain,
    ( ~ c3_1(a2410)
    | c2_1(a2410)
    | ~ spl0_31
    | ~ spl0_144 ),
    inference(resolution,[],[f339,f931]) ).

fof(f931,plain,
    ( c1_1(a2410)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f929]) ).

fof(f339,plain,
    ( ! [X53] :
        ( ~ c1_1(X53)
        | c2_1(X53)
        | ~ c3_1(X53) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f2373,plain,
    ( spl0_101
    | ~ spl0_123
    | ~ spl0_58
    | ~ spl0_185 ),
    inference(avatar_split_clause,[],[f2357,f1699,f461,f798,f679]) ).

fof(f679,plain,
    ( spl0_101
  <=> c3_1(a2468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f798,plain,
    ( spl0_123
  <=> c1_1(a2468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f461,plain,
    ( spl0_58
  <=> ! [X23] :
        ( c3_1(X23)
        | ~ c2_1(X23)
        | ~ c1_1(X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f1699,plain,
    ( spl0_185
  <=> c2_1(a2468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f2357,plain,
    ( ~ c1_1(a2468)
    | c3_1(a2468)
    | ~ spl0_58
    | ~ spl0_185 ),
    inference(resolution,[],[f462,f1701]) ).

fof(f1701,plain,
    ( c2_1(a2468)
    | ~ spl0_185 ),
    inference(avatar_component_clause,[],[f1699]) ).

fof(f462,plain,
    ( ! [X23] :
        ( ~ c2_1(X23)
        | ~ c1_1(X23)
        | c3_1(X23) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f2371,plain,
    ( ~ spl0_133
    | spl0_124
    | ~ spl0_58
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f2352,f541,f461,f804,f864]) ).

fof(f864,plain,
    ( spl0_133
  <=> c1_1(a2420) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f804,plain,
    ( spl0_124
  <=> c3_1(a2420) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f541,plain,
    ( spl0_75
  <=> c2_1(a2420) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f2352,plain,
    ( c3_1(a2420)
    | ~ c1_1(a2420)
    | ~ spl0_58
    | ~ spl0_75 ),
    inference(resolution,[],[f462,f543]) ).

fof(f543,plain,
    ( c2_1(a2420)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f2225,plain,
    ( spl0_29
    | ~ spl0_172
    | ~ spl0_16
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2220,f885,f273,f1171,f329]) ).

fof(f329,plain,
    ( spl0_29
  <=> c1_1(a2427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1171,plain,
    ( spl0_172
  <=> c0_1(a2427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f273,plain,
    ( spl0_16
  <=> ! [X74] :
        ( ~ c2_1(X74)
        | ~ c0_1(X74)
        | c1_1(X74) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f885,plain,
    ( spl0_137
  <=> c2_1(a2427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2220,plain,
    ( ~ c0_1(a2427)
    | c1_1(a2427)
    | ~ spl0_16
    | ~ spl0_137 ),
    inference(resolution,[],[f274,f887]) ).

fof(f887,plain,
    ( c2_1(a2427)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f885]) ).

fof(f274,plain,
    ( ! [X74] :
        ( ~ c2_1(X74)
        | ~ c0_1(X74)
        | c1_1(X74) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f2224,plain,
    ( spl0_122
    | ~ spl0_32
    | ~ spl0_16
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f2214,f1209,f273,f342,f793]) ).

fof(f793,plain,
    ( spl0_122
  <=> c1_1(a2402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f342,plain,
    ( spl0_32
  <=> c0_1(a2402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1209,plain,
    ( spl0_174
  <=> c2_1(a2402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f2214,plain,
    ( ~ c0_1(a2402)
    | c1_1(a2402)
    | ~ spl0_16
    | ~ spl0_174 ),
    inference(resolution,[],[f274,f1211]) ).

fof(f1211,plain,
    ( c2_1(a2402)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1209]) ).

fof(f2175,plain,
    ( ~ spl0_74
    | ~ spl0_173
    | ~ spl0_67
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2141,f916,f500,f1196,f536]) ).

fof(f536,plain,
    ( spl0_74
  <=> c3_1(a2422) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1196,plain,
    ( spl0_173
  <=> c0_1(a2422) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f500,plain,
    ( spl0_67
  <=> ! [X72] :
        ( ~ c0_1(X72)
        | ~ c3_1(X72)
        | ~ c1_1(X72) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f916,plain,
    ( spl0_142
  <=> c1_1(a2422) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2141,plain,
    ( ~ c0_1(a2422)
    | ~ c3_1(a2422)
    | ~ spl0_67
    | ~ spl0_142 ),
    inference(resolution,[],[f501,f918]) ).

fof(f918,plain,
    ( c1_1(a2422)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f916]) ).

fof(f501,plain,
    ( ! [X72] :
        ( ~ c1_1(X72)
        | ~ c0_1(X72)
        | ~ c3_1(X72) )
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f2174,plain,
    ( ~ spl0_32
    | spl0_122
    | ~ spl0_109
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f2159,f994,f724,f793,f342]) ).

fof(f724,plain,
    ( spl0_109
  <=> c3_1(a2402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f994,plain,
    ( spl0_155
  <=> ! [X86] :
        ( c1_1(X86)
        | ~ c0_1(X86)
        | ~ c3_1(X86) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f2159,plain,
    ( c1_1(a2402)
    | ~ c0_1(a2402)
    | ~ spl0_109
    | ~ spl0_155 ),
    inference(resolution,[],[f995,f726]) ).

fof(f726,plain,
    ( c3_1(a2402)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f995,plain,
    ( ! [X86] :
        ( ~ c3_1(X86)
        | ~ c0_1(X86)
        | c1_1(X86) )
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f994]) ).

fof(f2172,plain,
    ( ~ spl0_117
    | spl0_114
    | ~ spl0_155
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f2160,f1501,f994,f750,f767]) ).

fof(f767,plain,
    ( spl0_117
  <=> c0_1(a2407) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f750,plain,
    ( spl0_114
  <=> c1_1(a2407) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1501,plain,
    ( spl0_182
  <=> c3_1(a2407) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f2160,plain,
    ( c1_1(a2407)
    | ~ c0_1(a2407)
    | ~ spl0_155
    | ~ spl0_182 ),
    inference(resolution,[],[f995,f1503]) ).

fof(f1503,plain,
    ( c3_1(a2407)
    | ~ spl0_182 ),
    inference(avatar_component_clause,[],[f1501]) ).

fof(f2171,plain,
    ( ~ spl0_80
    | spl0_178
    | ~ spl0_98
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f2161,f994,f663,f1281,f567]) ).

fof(f567,plain,
    ( spl0_80
  <=> c0_1(a2408) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1281,plain,
    ( spl0_178
  <=> c1_1(a2408) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f663,plain,
    ( spl0_98
  <=> c3_1(a2408) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f2161,plain,
    ( c1_1(a2408)
    | ~ c0_1(a2408)
    | ~ spl0_98
    | ~ spl0_155 ),
    inference(resolution,[],[f995,f665]) ).

fof(f665,plain,
    ( c3_1(a2408)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f2128,plain,
    ( spl0_3
    | ~ spl0_35
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f2126,f452,f357,f220]) ).

fof(f220,plain,
    ( spl0_3
  <=> ! [X87] :
        ( c1_1(X87)
        | ~ c3_1(X87)
        | c0_1(X87) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f357,plain,
    ( spl0_35
  <=> ! [X57] :
        ( c1_1(X57)
        | c0_1(X57)
        | c2_1(X57) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f452,plain,
    ( spl0_56
  <=> ! [X108] :
        ( ~ c3_1(X108)
        | c1_1(X108)
        | ~ c2_1(X108) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f2126,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_35
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f2117]) ).

fof(f2117,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_35
    | ~ spl0_56 ),
    inference(resolution,[],[f453,f358]) ).

fof(f358,plain,
    ( ! [X57] :
        ( c2_1(X57)
        | c1_1(X57)
        | c0_1(X57) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f453,plain,
    ( ! [X108] :
        ( ~ c2_1(X108)
        | c1_1(X108)
        | ~ c3_1(X108) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f2127,plain,
    ( ~ spl0_153
    | spl0_179
    | ~ spl0_56
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f2124,f783,f452,f1293,f983]) ).

fof(f983,plain,
    ( spl0_153
  <=> c3_1(a2455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1293,plain,
    ( spl0_179
  <=> c1_1(a2455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f783,plain,
    ( spl0_120
  <=> c2_1(a2455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f2124,plain,
    ( c1_1(a2455)
    | ~ c3_1(a2455)
    | ~ spl0_56
    | ~ spl0_120 ),
    inference(resolution,[],[f453,f785]) ).

fof(f785,plain,
    ( c2_1(a2455)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f783]) ).

fof(f2096,plain,
    ( spl0_91
    | spl0_169
    | spl0_22
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f1885,f357,f299,f1129,f624]) ).

fof(f624,plain,
    ( spl0_91
  <=> c0_1(a2428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1129,plain,
    ( spl0_169
  <=> c1_1(a2428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f299,plain,
    ( spl0_22
  <=> c2_1(a2428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f1885,plain,
    ( c1_1(a2428)
    | c0_1(a2428)
    | spl0_22
    | ~ spl0_35 ),
    inference(resolution,[],[f358,f301]) ).

fof(f301,plain,
    ( ~ c2_1(a2428)
    | spl0_22 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f2089,plain,
    ( ~ spl0_104
    | spl0_172
    | ~ spl0_24
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2078,f885,f309,f1171,f694]) ).

fof(f694,plain,
    ( spl0_104
  <=> c3_1(a2427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f309,plain,
    ( spl0_24
  <=> ! [X27] :
        ( ~ c2_1(X27)
        | c0_1(X27)
        | ~ c3_1(X27) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f2078,plain,
    ( c0_1(a2427)
    | ~ c3_1(a2427)
    | ~ spl0_24
    | ~ spl0_137 ),
    inference(resolution,[],[f310,f887]) ).

fof(f310,plain,
    ( ! [X27] :
        ( ~ c2_1(X27)
        | c0_1(X27)
        | ~ c3_1(X27) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f309]) ).

fof(f2088,plain,
    ( ~ spl0_116
    | spl0_65
    | ~ spl0_24
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f2079,f1105,f309,f492,f760]) ).

fof(f760,plain,
    ( spl0_116
  <=> c3_1(a2432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f492,plain,
    ( spl0_65
  <=> c0_1(a2432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1105,plain,
    ( spl0_167
  <=> c2_1(a2432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f2079,plain,
    ( c0_1(a2432)
    | ~ c3_1(a2432)
    | ~ spl0_24
    | ~ spl0_167 ),
    inference(resolution,[],[f310,f1107]) ).

fof(f1107,plain,
    ( c2_1(a2432)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1105]) ).

fof(f2012,plain,
    ( ~ spl0_123
    | spl0_102
    | ~ spl0_121
    | ~ spl0_185 ),
    inference(avatar_split_clause,[],[f2004,f1699,f789,f684,f798]) ).

fof(f684,plain,
    ( spl0_102
  <=> c0_1(a2468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f789,plain,
    ( spl0_121
  <=> ! [X15] :
        ( c0_1(X15)
        | ~ c2_1(X15)
        | ~ c1_1(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f2004,plain,
    ( c0_1(a2468)
    | ~ c1_1(a2468)
    | ~ spl0_121
    | ~ spl0_185 ),
    inference(resolution,[],[f790,f1701]) ).

fof(f790,plain,
    ( ! [X15] :
        ( ~ c2_1(X15)
        | ~ c1_1(X15)
        | c0_1(X15) )
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f789]) ).

fof(f2011,plain,
    ( spl0_89
    | ~ spl0_179
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f2003,f789,f783,f1293,f614]) ).

fof(f614,plain,
    ( spl0_89
  <=> c0_1(a2455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f2003,plain,
    ( ~ c1_1(a2455)
    | c0_1(a2455)
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(resolution,[],[f790,f785]) ).

fof(f2009,plain,
    ( spl0_128
    | ~ spl0_165
    | ~ spl0_93
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f2005,f789,f634,f1089,f829]) ).

fof(f829,plain,
    ( spl0_128
  <=> c0_1(a2478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1089,plain,
    ( spl0_165
  <=> c1_1(a2478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f634,plain,
    ( spl0_93
  <=> c2_1(a2478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f2005,plain,
    ( ~ c1_1(a2478)
    | c0_1(a2478)
    | ~ spl0_93
    | ~ spl0_121 ),
    inference(resolution,[],[f790,f636]) ).

fof(f636,plain,
    ( c2_1(a2478)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f634]) ).

fof(f2008,plain,
    ( ~ spl0_81
    | spl0_51
    | ~ spl0_79
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f2001,f789,f562,f429,f572]) ).

fof(f572,plain,
    ( spl0_81
  <=> c1_1(a2418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f429,plain,
    ( spl0_51
  <=> c0_1(a2418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f562,plain,
    ( spl0_79
  <=> c2_1(a2418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f2001,plain,
    ( c0_1(a2418)
    | ~ c1_1(a2418)
    | ~ spl0_79
    | ~ spl0_121 ),
    inference(resolution,[],[f790,f564]) ).

fof(f564,plain,
    ( c2_1(a2418)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f1995,plain,
    ( spl0_101
    | spl0_102
    | ~ spl0_112
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1981,f798,f742,f684,f679]) ).

fof(f742,plain,
    ( spl0_112
  <=> ! [X101] :
        ( ~ c1_1(X101)
        | c3_1(X101)
        | c0_1(X101) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1981,plain,
    ( c0_1(a2468)
    | c3_1(a2468)
    | ~ spl0_112
    | ~ spl0_123 ),
    inference(resolution,[],[f743,f800]) ).

fof(f800,plain,
    ( c1_1(a2468)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f798]) ).

fof(f743,plain,
    ( ! [X101] :
        ( ~ c1_1(X101)
        | c0_1(X101)
        | c3_1(X101) )
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f1986,plain,
    ( spl0_105
    | spl0_128
    | ~ spl0_112
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1982,f1089,f742,f829,f699]) ).

fof(f699,plain,
    ( spl0_105
  <=> c3_1(a2478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1982,plain,
    ( c0_1(a2478)
    | c3_1(a2478)
    | ~ spl0_112
    | ~ spl0_165 ),
    inference(resolution,[],[f743,f1091]) ).

fof(f1091,plain,
    ( c1_1(a2478)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1089]) ).

fof(f1931,plain,
    ( ~ spl0_151
    | spl0_176
    | ~ spl0_42
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1927,f400,f388,f1267,f970]) ).

fof(f970,plain,
    ( spl0_151
  <=> c0_1(a2484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1267,plain,
    ( spl0_176
  <=> c2_1(a2484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f388,plain,
    ( spl0_42
  <=> ! [X25] :
        ( ~ c1_1(X25)
        | c2_1(X25)
        | ~ c0_1(X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f400,plain,
    ( spl0_45
  <=> c1_1(a2484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1927,plain,
    ( c2_1(a2484)
    | ~ c0_1(a2484)
    | ~ spl0_42
    | ~ spl0_45 ),
    inference(resolution,[],[f389,f402]) ).

fof(f402,plain,
    ( c1_1(a2484)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f389,plain,
    ( ! [X25] :
        ( ~ c1_1(X25)
        | c2_1(X25)
        | ~ c0_1(X25) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f1929,plain,
    ( spl0_97
    | ~ spl0_168
    | ~ spl0_42
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1912,f713,f388,f1123,f658]) ).

fof(f658,plain,
    ( spl0_97
  <=> c2_1(a2403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f1123,plain,
    ( spl0_168
  <=> c0_1(a2403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f713,plain,
    ( spl0_107
  <=> c1_1(a2403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1912,plain,
    ( ~ c0_1(a2403)
    | c2_1(a2403)
    | ~ spl0_42
    | ~ spl0_107 ),
    inference(resolution,[],[f389,f715]) ).

fof(f715,plain,
    ( c1_1(a2403)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f1892,plain,
    ( spl0_161
    | spl0_140
    | ~ spl0_35
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1886,f587,f357,f903,f1043]) ).

fof(f1043,plain,
    ( spl0_161
  <=> c1_1(a2435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f903,plain,
    ( spl0_140
  <=> c0_1(a2435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f587,plain,
    ( spl0_84
  <=> c2_1(a2435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1886,plain,
    ( c0_1(a2435)
    | c1_1(a2435)
    | ~ spl0_35
    | spl0_84 ),
    inference(resolution,[],[f358,f589]) ).

fof(f589,plain,
    ( ~ c2_1(a2435)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f1870,plain,
    ( ~ spl0_74
    | spl0_127
    | ~ spl0_31
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1861,f916,f338,f823,f536]) ).

fof(f823,plain,
    ( spl0_127
  <=> c2_1(a2422) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1861,plain,
    ( c2_1(a2422)
    | ~ c3_1(a2422)
    | ~ spl0_31
    | ~ spl0_142 ),
    inference(resolution,[],[f339,f918]) ).

fof(f1852,plain,
    ( spl0_89
    | spl0_179
    | ~ spl0_25
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1848,f783,f312,f1293,f614]) ).

fof(f312,plain,
    ( spl0_25
  <=> ! [X26] :
        ( c1_1(X26)
        | ~ c2_1(X26)
        | c0_1(X26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f1848,plain,
    ( c1_1(a2455)
    | c0_1(a2455)
    | ~ spl0_25
    | ~ spl0_120 ),
    inference(resolution,[],[f313,f785]) ).

fof(f313,plain,
    ( ! [X26] :
        ( ~ c2_1(X26)
        | c1_1(X26)
        | c0_1(X26) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f1837,plain,
    ( ~ spl0_163
    | ~ spl0_82
    | ~ spl0_15
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1831,f640,f270,f577,f1061]) ).

fof(f1061,plain,
    ( spl0_163
  <=> c3_1(a2437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f577,plain,
    ( spl0_82
  <=> c0_1(a2437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f270,plain,
    ( spl0_15
  <=> ! [X76] :
        ( ~ c3_1(X76)
        | ~ c0_1(X76)
        | ~ c2_1(X76) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f640,plain,
    ( spl0_94
  <=> c2_1(a2437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1831,plain,
    ( ~ c0_1(a2437)
    | ~ c3_1(a2437)
    | ~ spl0_15
    | ~ spl0_94 ),
    inference(resolution,[],[f271,f642]) ).

fof(f642,plain,
    ( c2_1(a2437)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f271,plain,
    ( ! [X76] :
        ( ~ c2_1(X76)
        | ~ c3_1(X76)
        | ~ c0_1(X76) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f1792,plain,
    ( ~ spl0_170
    | ~ spl0_88
    | ~ spl0_12
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f1324,f470,f256,f609,f1147]) ).

fof(f1147,plain,
    ( spl0_170
  <=> c1_1(a2405) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f609,plain,
    ( spl0_88
  <=> c0_1(a2405) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f256,plain,
    ( spl0_12
  <=> ! [X35] :
        ( ~ c2_1(X35)
        | ~ c0_1(X35)
        | ~ c1_1(X35) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f470,plain,
    ( spl0_60
  <=> c2_1(a2405) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1324,plain,
    ( ~ c0_1(a2405)
    | ~ c1_1(a2405)
    | ~ spl0_12
    | ~ spl0_60 ),
    inference(resolution,[],[f257,f472]) ).

fof(f472,plain,
    ( c2_1(a2405)
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f257,plain,
    ( ! [X35] :
        ( ~ c2_1(X35)
        | ~ c0_1(X35)
        | ~ c1_1(X35) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f1790,plain,
    ( spl0_54
    | spl0_146
    | ~ spl0_35
    | spl0_110 ),
    inference(avatar_split_clause,[],[f1784,f729,f357,f939,f443]) ).

fof(f443,plain,
    ( spl0_54
  <=> c1_1(a2453) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f939,plain,
    ( spl0_146
  <=> c0_1(a2453) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f729,plain,
    ( spl0_110
  <=> c2_1(a2453) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1784,plain,
    ( c0_1(a2453)
    | c1_1(a2453)
    | ~ spl0_35
    | spl0_110 ),
    inference(resolution,[],[f358,f731]) ).

fof(f731,plain,
    ( ~ c2_1(a2453)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f729]) ).

fof(f1702,plain,
    ( spl0_185
    | spl0_102
    | ~ spl0_40
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1697,f798,f379,f684,f1699]) ).

fof(f379,plain,
    ( spl0_40
  <=> ! [X45] :
        ( ~ c1_1(X45)
        | c0_1(X45)
        | c2_1(X45) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1697,plain,
    ( c0_1(a2468)
    | c2_1(a2468)
    | ~ spl0_40
    | ~ spl0_123 ),
    inference(resolution,[],[f800,f380]) ).

fof(f380,plain,
    ( ! [X45] :
        ( ~ c1_1(X45)
        | c0_1(X45)
        | c2_1(X45) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f1690,plain,
    ( spl0_83
    | spl0_71
    | ~ spl0_3
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1689,f604,f220,f522,f582]) ).

fof(f582,plain,
    ( spl0_83
  <=> c0_1(a2417) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f522,plain,
    ( spl0_71
  <=> c1_1(a2417) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f604,plain,
    ( spl0_87
  <=> c3_1(a2417) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1689,plain,
    ( c1_1(a2417)
    | c0_1(a2417)
    | ~ spl0_3
    | ~ spl0_87 ),
    inference(resolution,[],[f606,f221]) ).

fof(f221,plain,
    ( ! [X87] :
        ( ~ c3_1(X87)
        | c0_1(X87)
        | c1_1(X87) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f606,plain,
    ( c3_1(a2417)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f1684,plain,
    ( ~ spl0_151
    | spl0_85
    | ~ spl0_45
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f1682,f480,f400,f594,f970]) ).

fof(f594,plain,
    ( spl0_85
  <=> c3_1(a2484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f480,plain,
    ( spl0_62
  <=> ! [X79] :
        ( c3_1(X79)
        | ~ c0_1(X79)
        | ~ c1_1(X79) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f1682,plain,
    ( c3_1(a2484)
    | ~ c0_1(a2484)
    | ~ spl0_45
    | ~ spl0_62 ),
    inference(resolution,[],[f402,f481]) ).

fof(f481,plain,
    ( ! [X79] :
        ( ~ c1_1(X79)
        | c3_1(X79)
        | ~ c0_1(X79) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f1674,plain,
    ( spl0_127
    | spl0_173
    | ~ spl0_74
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1598,f630,f536,f1196,f823]) ).

fof(f630,plain,
    ( spl0_92
  <=> ! [X41] :
        ( c2_1(X41)
        | c0_1(X41)
        | ~ c3_1(X41) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1598,plain,
    ( c0_1(a2422)
    | c2_1(a2422)
    | ~ spl0_74
    | ~ spl0_92 ),
    inference(resolution,[],[f631,f538]) ).

fof(f538,plain,
    ( c3_1(a2422)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f536]) ).

fof(f631,plain,
    ( ! [X41] :
        ( ~ c3_1(X41)
        | c0_1(X41)
        | c2_1(X41) )
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f1666,plain,
    ( spl0_168
    | spl0_96
    | spl0_97
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1606,f746,f658,f651,f1123]) ).

fof(f651,plain,
    ( spl0_96
  <=> c3_1(a2403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f746,plain,
    ( spl0_113
  <=> ! [X20] :
        ( c0_1(X20)
        | c3_1(X20)
        | c2_1(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1606,plain,
    ( c3_1(a2403)
    | c0_1(a2403)
    | spl0_97
    | ~ spl0_113 ),
    inference(resolution,[],[f747,f660]) ).

fof(f660,plain,
    ( ~ c2_1(a2403)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f747,plain,
    ( ! [X20] :
        ( c2_1(X20)
        | c0_1(X20)
        | c3_1(X20) )
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f1665,plain,
    ( spl0_111
    | ~ spl0_164
    | ~ spl0_56
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1426,f874,f452,f1079,f736]) ).

fof(f736,plain,
    ( spl0_111
  <=> c1_1(a2413) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1079,plain,
    ( spl0_164
  <=> c3_1(a2413) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f874,plain,
    ( spl0_135
  <=> c2_1(a2413) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1426,plain,
    ( ~ c3_1(a2413)
    | c1_1(a2413)
    | ~ spl0_56
    | ~ spl0_135 ),
    inference(resolution,[],[f453,f876]) ).

fof(f876,plain,
    ( c2_1(a2413)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f1664,plain,
    ( spl0_177
    | spl0_147
    | spl0_47
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1607,f746,f409,f947,f1273]) ).

fof(f1273,plain,
    ( spl0_177
  <=> c0_1(a2404) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f947,plain,
    ( spl0_147
  <=> c3_1(a2404) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f409,plain,
    ( spl0_47
  <=> c2_1(a2404) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f1607,plain,
    ( c3_1(a2404)
    | c0_1(a2404)
    | spl0_47
    | ~ spl0_113 ),
    inference(resolution,[],[f747,f411]) ).

fof(f411,plain,
    ( ~ c2_1(a2404)
    | spl0_47 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f1663,plain,
    ( spl0_112
    | ~ spl0_113
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1658,f789,f746,f742]) ).

fof(f1658,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_113
    | ~ spl0_121 ),
    inference(duplicate_literal_removal,[],[f1645]) ).

fof(f1645,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_113
    | ~ spl0_121 ),
    inference(resolution,[],[f790,f747]) ).

fof(f1662,plain,
    ( ~ spl0_133
    | spl0_183
    | ~ spl0_75
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1650,f789,f541,f1528,f864]) ).

fof(f1528,plain,
    ( spl0_183
  <=> c0_1(a2420) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f1650,plain,
    ( c0_1(a2420)
    | ~ c1_1(a2420)
    | ~ spl0_75
    | ~ spl0_121 ),
    inference(resolution,[],[f790,f543]) ).

fof(f1643,plain,
    ( spl0_64
    | spl0_163
    | ~ spl0_82
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1631,f777,f577,f1061,f487]) ).

fof(f487,plain,
    ( spl0_64
  <=> c1_1(a2437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f777,plain,
    ( spl0_119
  <=> ! [X43] :
        ( c1_1(X43)
        | ~ c0_1(X43)
        | c3_1(X43) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1631,plain,
    ( c3_1(a2437)
    | c1_1(a2437)
    | ~ spl0_82
    | ~ spl0_119 ),
    inference(resolution,[],[f778,f579]) ).

fof(f579,plain,
    ( c0_1(a2437)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f778,plain,
    ( ! [X43] :
        ( ~ c0_1(X43)
        | c3_1(X43)
        | c1_1(X43) )
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f777]) ).

fof(f1641,plain,
    ( spl0_147
    | spl0_141
    | ~ spl0_119
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1620,f1273,f777,f910,f947]) ).

fof(f910,plain,
    ( spl0_141
  <=> c1_1(a2404) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1620,plain,
    ( c1_1(a2404)
    | c3_1(a2404)
    | ~ spl0_119
    | ~ spl0_177 ),
    inference(resolution,[],[f778,f1275]) ).

fof(f1275,plain,
    ( c0_1(a2404)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1273]) ).

fof(f1640,plain,
    ( spl0_170
    | spl0_125
    | ~ spl0_88
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1621,f777,f609,f811,f1147]) ).

fof(f811,plain,
    ( spl0_125
  <=> c3_1(a2405) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1621,plain,
    ( c3_1(a2405)
    | c1_1(a2405)
    | ~ spl0_88
    | ~ spl0_119 ),
    inference(resolution,[],[f778,f611]) ).

fof(f611,plain,
    ( c0_1(a2405)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f609]) ).

fof(f1637,plain,
    ( spl0_108
    | spl0_106
    | ~ spl0_119
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1625,f1056,f777,f706,f718]) ).

fof(f718,plain,
    ( spl0_108
  <=> c3_1(a2411) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f706,plain,
    ( spl0_106
  <=> c1_1(a2411) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1056,plain,
    ( spl0_162
  <=> c0_1(a2411) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f1625,plain,
    ( c1_1(a2411)
    | c3_1(a2411)
    | ~ spl0_119
    | ~ spl0_162 ),
    inference(resolution,[],[f778,f1057]) ).

fof(f1057,plain,
    ( c0_1(a2411)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1056]) ).

fof(f1587,plain,
    ( spl0_130
    | spl0_156
    | ~ spl0_77
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1574,f1021,f550,f1001,f843]) ).

fof(f843,plain,
    ( spl0_130
  <=> c2_1(a2416) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1001,plain,
    ( spl0_156
  <=> c1_1(a2416) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f550,plain,
    ( spl0_77
  <=> ! [X24] :
        ( ~ c0_1(X24)
        | c1_1(X24)
        | c2_1(X24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1021,plain,
    ( spl0_159
  <=> c0_1(a2416) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f1574,plain,
    ( c1_1(a2416)
    | c2_1(a2416)
    | ~ spl0_77
    | ~ spl0_159 ),
    inference(resolution,[],[f551,f1023]) ).

fof(f1023,plain,
    ( c0_1(a2416)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1021]) ).

fof(f551,plain,
    ( ! [X24] :
        ( ~ c0_1(X24)
        | c1_1(X24)
        | c2_1(X24) )
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f1586,plain,
    ( spl0_100
    | spl0_114
    | ~ spl0_77
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1569,f767,f550,f750,f672]) ).

fof(f672,plain,
    ( spl0_100
  <=> c2_1(a2407) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1569,plain,
    ( c1_1(a2407)
    | c2_1(a2407)
    | ~ spl0_77
    | ~ spl0_117 ),
    inference(resolution,[],[f551,f769]) ).

fof(f769,plain,
    ( c0_1(a2407)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f1585,plain,
    ( spl0_122
    | spl0_174
    | ~ spl0_32
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1565,f550,f342,f1209,f793]) ).

fof(f1565,plain,
    ( c2_1(a2402)
    | c1_1(a2402)
    | ~ spl0_32
    | ~ spl0_77 ),
    inference(resolution,[],[f551,f344]) ).

fof(f344,plain,
    ( c0_1(a2402)
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f1583,plain,
    ( spl0_141
    | spl0_47
    | ~ spl0_77
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1567,f1273,f550,f409,f910]) ).

fof(f1567,plain,
    ( c2_1(a2404)
    | c1_1(a2404)
    | ~ spl0_77
    | ~ spl0_177 ),
    inference(resolution,[],[f551,f1275]) ).

fof(f1563,plain,
    ( spl0_105
    | spl0_128
    | ~ spl0_76
    | spl0_165 ),
    inference(avatar_split_clause,[],[f1551,f1089,f546,f829,f699]) ).

fof(f546,plain,
    ( spl0_76
  <=> ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1551,plain,
    ( c0_1(a2478)
    | c3_1(a2478)
    | ~ spl0_76
    | spl0_165 ),
    inference(resolution,[],[f547,f1090]) ).

fof(f1090,plain,
    ( ~ c1_1(a2478)
    | spl0_165 ),
    inference(avatar_component_clause,[],[f1089]) ).

fof(f547,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f1562,plain,
    ( spl0_131
    | spl0_91
    | ~ spl0_76
    | spl0_169 ),
    inference(avatar_split_clause,[],[f1549,f1129,f546,f624,f848]) ).

fof(f848,plain,
    ( spl0_131
  <=> c3_1(a2428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1549,plain,
    ( c0_1(a2428)
    | c3_1(a2428)
    | ~ spl0_76
    | spl0_169 ),
    inference(resolution,[],[f547,f1130]) ).

fof(f1130,plain,
    ( ~ c1_1(a2428)
    | spl0_169 ),
    inference(avatar_component_clause,[],[f1129]) ).

fof(f1561,plain,
    ( spl0_126
    | spl0_164
    | ~ spl0_76
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1546,f736,f546,f1079,f818]) ).

fof(f818,plain,
    ( spl0_126
  <=> c0_1(a2413) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1546,plain,
    ( c3_1(a2413)
    | c0_1(a2413)
    | ~ spl0_76
    | spl0_111 ),
    inference(resolution,[],[f547,f738]) ).

fof(f738,plain,
    ( ~ c1_1(a2413)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f1531,plain,
    ( ~ spl0_133
    | ~ spl0_183
    | ~ spl0_12
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1526,f541,f256,f1528,f864]) ).

fof(f1526,plain,
    ( ~ c0_1(a2420)
    | ~ c1_1(a2420)
    | ~ spl0_12
    | ~ spl0_75 ),
    inference(resolution,[],[f543,f257]) ).

fof(f1523,plain,
    ( ~ spl0_80
    | ~ spl0_98
    | ~ spl0_67
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f1508,f1281,f500,f663,f567]) ).

fof(f1508,plain,
    ( ~ c3_1(a2408)
    | ~ c0_1(a2408)
    | ~ spl0_67
    | ~ spl0_178 ),
    inference(resolution,[],[f501,f1283]) ).

fof(f1283,plain,
    ( c1_1(a2408)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f1281]) ).

fof(f1517,plain,
    ( ~ spl0_68
    | ~ spl0_145
    | ~ spl0_34
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1516,f500,f352,f934,f504]) ).

fof(f504,plain,
    ( spl0_68
  <=> c3_1(a2450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f934,plain,
    ( spl0_145
  <=> c0_1(a2450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f352,plain,
    ( spl0_34
  <=> c1_1(a2450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1516,plain,
    ( ~ c0_1(a2450)
    | ~ c3_1(a2450)
    | ~ spl0_34
    | ~ spl0_67 ),
    inference(resolution,[],[f501,f354]) ).

fof(f354,plain,
    ( c1_1(a2450)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f1504,plain,
    ( spl0_100
    | spl0_182
    | ~ spl0_66
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1485,f767,f497,f1501,f672]) ).

fof(f497,plain,
    ( spl0_66
  <=> ! [X71] :
        ( ~ c0_1(X71)
        | c3_1(X71)
        | c2_1(X71) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1485,plain,
    ( c3_1(a2407)
    | c2_1(a2407)
    | ~ spl0_66
    | ~ spl0_117 ),
    inference(resolution,[],[f498,f769]) ).

fof(f498,plain,
    ( ! [X71] :
        ( ~ c0_1(X71)
        | c2_1(X71)
        | c3_1(X71) )
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f1499,plain,
    ( spl0_47
    | spl0_147
    | ~ spl0_66
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1483,f1273,f497,f947,f409]) ).

fof(f1483,plain,
    ( c3_1(a2404)
    | c2_1(a2404)
    | ~ spl0_66
    | ~ spl0_177 ),
    inference(resolution,[],[f498,f1275]) ).

fof(f1477,plain,
    ( spl0_106
    | spl0_108
    | ~ spl0_38
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1463,f483,f370,f718,f706]) ).

fof(f370,plain,
    ( spl0_38
  <=> c2_1(a2411) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f483,plain,
    ( spl0_63
  <=> ! [X80] :
        ( c1_1(X80)
        | ~ c2_1(X80)
        | c3_1(X80) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1463,plain,
    ( c3_1(a2411)
    | c1_1(a2411)
    | ~ spl0_38
    | ~ spl0_63 ),
    inference(resolution,[],[f484,f372]) ).

fof(f372,plain,
    ( c2_1(a2411)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f484,plain,
    ( ! [X80] :
        ( ~ c2_1(X80)
        | c1_1(X80)
        | c3_1(X80) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f1475,plain,
    ( spl0_165
    | spl0_105
    | ~ spl0_63
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1469,f634,f483,f699,f1089]) ).

fof(f1469,plain,
    ( c3_1(a2478)
    | c1_1(a2478)
    | ~ spl0_63
    | ~ spl0_93 ),
    inference(resolution,[],[f484,f636]) ).

fof(f1473,plain,
    ( spl0_164
    | spl0_111
    | ~ spl0_63
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1464,f874,f483,f736,f1079]) ).

fof(f1464,plain,
    ( c1_1(a2413)
    | c3_1(a2413)
    | ~ spl0_63
    | ~ spl0_135 ),
    inference(resolution,[],[f484,f876]) ).

fof(f1421,plain,
    ( spl0_130
    | spl0_156
    | ~ spl0_44
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1415,f434,f396,f1001,f843]) ).

fof(f396,plain,
    ( spl0_44
  <=> ! [X93] :
        ( c1_1(X93)
        | c2_1(X93)
        | ~ c3_1(X93) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f434,plain,
    ( spl0_52
  <=> c3_1(a2416) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1415,plain,
    ( c1_1(a2416)
    | c2_1(a2416)
    | ~ spl0_44
    | ~ spl0_52 ),
    inference(resolution,[],[f397,f436]) ).

fof(f436,plain,
    ( c3_1(a2416)
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f397,plain,
    ( ! [X93] :
        ( ~ c3_1(X93)
        | c2_1(X93)
        | c1_1(X93) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f1390,plain,
    ( spl0_64
    | ~ spl0_82
    | ~ spl0_16
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1382,f640,f273,f577,f487]) ).

fof(f1382,plain,
    ( ~ c0_1(a2437)
    | c1_1(a2437)
    | ~ spl0_16
    | ~ spl0_94 ),
    inference(resolution,[],[f274,f642]) ).

fof(f1389,plain,
    ( ~ spl0_88
    | spl0_170
    | ~ spl0_16
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f1376,f470,f273,f1147,f609]) ).

fof(f1376,plain,
    ( c1_1(a2405)
    | ~ c0_1(a2405)
    | ~ spl0_16
    | ~ spl0_60 ),
    inference(resolution,[],[f274,f472]) ).

fof(f1386,plain,
    ( ~ spl0_162
    | spl0_106
    | ~ spl0_16
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f1377,f370,f273,f706,f1056]) ).

fof(f1377,plain,
    ( c1_1(a2411)
    | ~ c0_1(a2411)
    | ~ spl0_16
    | ~ spl0_38 ),
    inference(resolution,[],[f274,f372]) ).

fof(f1361,plain,
    ( ~ spl0_90
    | ~ spl0_158
    | ~ spl0_15
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f1359,f465,f270,f1014,f619]) ).

fof(f619,plain,
    ( spl0_90
  <=> c3_1(a2409) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1014,plain,
    ( spl0_158
  <=> c0_1(a2409) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f465,plain,
    ( spl0_59
  <=> c2_1(a2409) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1359,plain,
    ( ~ c0_1(a2409)
    | ~ c3_1(a2409)
    | ~ spl0_15
    | ~ spl0_59 ),
    inference(resolution,[],[f467,f271]) ).

fof(f467,plain,
    ( c2_1(a2409)
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f1356,plain,
    ( ~ spl0_32
    | ~ spl0_109
    | ~ spl0_15
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1345,f1209,f270,f724,f342]) ).

fof(f1345,plain,
    ( ~ c3_1(a2402)
    | ~ c0_1(a2402)
    | ~ spl0_15
    | ~ spl0_174 ),
    inference(resolution,[],[f271,f1211]) ).

fof(f1340,plain,
    ( ~ spl0_45
    | ~ spl0_151
    | ~ spl0_12
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1334,f1267,f256,f970,f400]) ).

fof(f1334,plain,
    ( ~ c0_1(a2484)
    | ~ c1_1(a2484)
    | ~ spl0_12
    | ~ spl0_176 ),
    inference(resolution,[],[f257,f1269]) ).

fof(f1269,plain,
    ( c2_1(a2484)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f1267]) ).

fof(f1339,plain,
    ( ~ spl0_180
    | ~ spl0_132
    | ~ spl0_12
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1335,f959,f256,f853,f1316]) ).

fof(f1316,plain,
    ( spl0_180
  <=> c0_1(a2406) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f853,plain,
    ( spl0_132
  <=> c1_1(a2406) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f959,plain,
    ( spl0_149
  <=> c2_1(a2406) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1335,plain,
    ( ~ c1_1(a2406)
    | ~ c0_1(a2406)
    | ~ spl0_12
    | ~ spl0_149 ),
    inference(resolution,[],[f257,f961]) ).

fof(f961,plain,
    ( c2_1(a2406)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f959]) ).

fof(f1321,plain,
    ( ~ spl0_116
    | spl0_65
    | ~ spl0_6
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1306,f527,f232,f492,f760]) ).

fof(f232,plain,
    ( spl0_6
  <=> ! [X18] :
        ( ~ c1_1(X18)
        | c0_1(X18)
        | ~ c3_1(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f527,plain,
    ( spl0_72
  <=> c1_1(a2432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1306,plain,
    ( c0_1(a2432)
    | ~ c3_1(a2432)
    | ~ spl0_6
    | ~ spl0_72 ),
    inference(resolution,[],[f233,f529]) ).

fof(f529,plain,
    ( c1_1(a2432)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f233,plain,
    ( ! [X18] :
        ( ~ c1_1(X18)
        | ~ c3_1(X18)
        | c0_1(X18) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f1319,plain,
    ( spl0_180
    | ~ spl0_157
    | ~ spl0_6
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1311,f853,f232,f1006,f1316]) ).

fof(f1006,plain,
    ( spl0_157
  <=> c3_1(a2406) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1311,plain,
    ( ~ c3_1(a2406)
    | c0_1(a2406)
    | ~ spl0_6
    | ~ spl0_132 ),
    inference(resolution,[],[f233,f855]) ).

fof(f855,plain,
    ( c1_1(a2406)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f853]) ).

fof(f1314,plain,
    ( ~ spl0_152
    | spl0_140
    | ~ spl0_6
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1307,f1043,f232,f903,f975]) ).

fof(f975,plain,
    ( spl0_152
  <=> c3_1(a2435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1307,plain,
    ( c0_1(a2435)
    | ~ c3_1(a2435)
    | ~ spl0_6
    | ~ spl0_161 ),
    inference(resolution,[],[f233,f1045]) ).

fof(f1045,plain,
    ( c1_1(a2435)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1043]) ).

fof(f1313,plain,
    ( ~ spl0_74
    | spl0_173
    | ~ spl0_6
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1304,f916,f232,f1196,f536]) ).

fof(f1304,plain,
    ( c0_1(a2422)
    | ~ c3_1(a2422)
    | ~ spl0_6
    | ~ spl0_142 ),
    inference(resolution,[],[f233,f918]) ).

fof(f1312,plain,
    ( ~ spl0_153
    | spl0_89
    | ~ spl0_6
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f1308,f1293,f232,f614,f983]) ).

fof(f1308,plain,
    ( c0_1(a2455)
    | ~ c3_1(a2455)
    | ~ spl0_6
    | ~ spl0_179 ),
    inference(resolution,[],[f233,f1295]) ).

fof(f1295,plain,
    ( c1_1(a2455)
    | ~ spl0_179 ),
    inference(avatar_component_clause,[],[f1293]) ).

fof(f1296,plain,
    ( spl0_89
    | spl0_179
    | ~ spl0_3
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1291,f983,f220,f1293,f614]) ).

fof(f1291,plain,
    ( c1_1(a2455)
    | c0_1(a2455)
    | ~ spl0_3
    | ~ spl0_153 ),
    inference(resolution,[],[f985,f221]) ).

fof(f985,plain,
    ( c3_1(a2455)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f983]) ).

fof(f1284,plain,
    ( spl0_178
    | spl0_86
    | ~ spl0_44
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1278,f663,f396,f599,f1281]) ).

fof(f599,plain,
    ( spl0_86
  <=> c2_1(a2408) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1278,plain,
    ( c2_1(a2408)
    | c1_1(a2408)
    | ~ spl0_44
    | ~ spl0_98 ),
    inference(resolution,[],[f665,f397]) ).

fof(f1276,plain,
    ( spl0_141
    | spl0_177
    | ~ spl0_35
    | spl0_47 ),
    inference(avatar_split_clause,[],[f1271,f409,f357,f1273,f910]) ).

fof(f1271,plain,
    ( c0_1(a2404)
    | c1_1(a2404)
    | ~ spl0_35
    | spl0_47 ),
    inference(resolution,[],[f411,f358]) ).

fof(f1262,plain,
    ( ~ spl0_153
    | spl0_89
    | ~ spl0_24
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1261,f783,f309,f614,f983]) ).

fof(f1261,plain,
    ( c0_1(a2455)
    | ~ c3_1(a2455)
    | ~ spl0_24
    | ~ spl0_120 ),
    inference(resolution,[],[f785,f310]) ).

fof(f1260,plain,
    ( spl0_175
    | spl0_9
    | ~ spl0_8
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1254,f929,f240,f244,f1257]) ).

fof(f240,plain,
    ( spl0_8
  <=> ! [X102] :
        ( ~ c1_1(X102)
        | c2_1(X102)
        | c3_1(X102) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1254,plain,
    ( c2_1(a2410)
    | c3_1(a2410)
    | ~ spl0_8
    | ~ spl0_144 ),
    inference(resolution,[],[f931,f241]) ).

fof(f241,plain,
    ( ! [X102] :
        ( ~ c1_1(X102)
        | c2_1(X102)
        | c3_1(X102) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f1255,plain,
    ( spl0_9
    | ~ spl0_41
    | ~ spl0_42
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1253,f929,f388,f383,f244]) ).

fof(f383,plain,
    ( spl0_41
  <=> c0_1(a2410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1253,plain,
    ( ~ c0_1(a2410)
    | c2_1(a2410)
    | ~ spl0_42
    | ~ spl0_144 ),
    inference(resolution,[],[f931,f389]) ).

fof(f1227,plain,
    ( spl0_29
    | ~ spl0_104
    | ~ spl0_56
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1220,f885,f452,f694,f329]) ).

fof(f1220,plain,
    ( ~ c3_1(a2427)
    | c1_1(a2427)
    | ~ spl0_56
    | ~ spl0_137 ),
    inference(resolution,[],[f453,f887]) ).

fof(f1212,plain,
    ( spl0_174
    | spl0_122
    | ~ spl0_44
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1200,f724,f396,f793,f1209]) ).

fof(f1200,plain,
    ( c1_1(a2402)
    | c2_1(a2402)
    | ~ spl0_44
    | ~ spl0_109 ),
    inference(resolution,[],[f397,f726]) ).

fof(f1199,plain,
    ( ~ spl0_173
    | spl0_127
    | ~ spl0_42
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1193,f916,f388,f823,f1196]) ).

fof(f1193,plain,
    ( c2_1(a2422)
    | ~ c0_1(a2422)
    | ~ spl0_42
    | ~ spl0_142 ),
    inference(resolution,[],[f918,f389]) ).

fof(f1190,plain,
    ( ~ spl0_34
    | ~ spl0_145
    | ~ spl0_12
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1188,f1099,f256,f934,f352]) ).

fof(f1099,plain,
    ( spl0_166
  <=> c2_1(a2450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f1188,plain,
    ( ~ c0_1(a2450)
    | ~ c1_1(a2450)
    | ~ spl0_12
    | ~ spl0_166 ),
    inference(resolution,[],[f1101,f257]) ).

fof(f1101,plain,
    ( c2_1(a2450)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1099]) ).

fof(f1158,plain,
    ( spl0_148
    | spl0_95
    | ~ spl0_40
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1151,f513,f379,f645,f952]) ).

fof(f952,plain,
    ( spl0_148
  <=> c0_1(a2412) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f645,plain,
    ( spl0_95
  <=> c2_1(a2412) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f513,plain,
    ( spl0_70
  <=> c1_1(a2412) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1151,plain,
    ( c2_1(a2412)
    | c0_1(a2412)
    | ~ spl0_40
    | ~ spl0_70 ),
    inference(resolution,[],[f380,f515]) ).

fof(f515,plain,
    ( c1_1(a2412)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f1157,plain,
    ( spl0_140
    | spl0_84
    | ~ spl0_40
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1154,f1043,f379,f587,f903]) ).

fof(f1154,plain,
    ( c2_1(a2435)
    | c0_1(a2435)
    | ~ spl0_40
    | ~ spl0_161 ),
    inference(resolution,[],[f380,f1045]) ).

fof(f1139,plain,
    ( spl0_131
    | spl0_22
    | ~ spl0_8
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1138,f1129,f240,f299,f848]) ).

fof(f1138,plain,
    ( c2_1(a2428)
    | c3_1(a2428)
    | ~ spl0_8
    | ~ spl0_169 ),
    inference(resolution,[],[f1131,f241]) ).

fof(f1131,plain,
    ( c1_1(a2428)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1129]) ).

fof(f1127,plain,
    ( spl0_159
    | spl0_156
    | ~ spl0_35
    | spl0_130 ),
    inference(avatar_split_clause,[],[f1118,f843,f357,f1001,f1021]) ).

fof(f1118,plain,
    ( c1_1(a2416)
    | c0_1(a2416)
    | ~ spl0_35
    | spl0_130 ),
    inference(resolution,[],[f358,f845]) ).

fof(f845,plain,
    ( ~ c2_1(a2416)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f1108,plain,
    ( ~ spl0_116
    | spl0_167
    | ~ spl0_31
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1095,f527,f338,f1105,f760]) ).

fof(f1095,plain,
    ( c2_1(a2432)
    | ~ c3_1(a2432)
    | ~ spl0_31
    | ~ spl0_72 ),
    inference(resolution,[],[f339,f529]) ).

fof(f1102,plain,
    ( ~ spl0_68
    | spl0_166
    | ~ spl0_31
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f1097,f352,f338,f1099,f504]) ).

fof(f1097,plain,
    ( c2_1(a2450)
    | ~ c3_1(a2450)
    | ~ spl0_31
    | ~ spl0_34 ),
    inference(resolution,[],[f339,f354]) ).

fof(f1093,plain,
    ( spl0_126
    | spl0_111
    | ~ spl0_25
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1084,f874,f312,f736,f818]) ).

fof(f1084,plain,
    ( c1_1(a2413)
    | c0_1(a2413)
    | ~ spl0_25
    | ~ spl0_135 ),
    inference(resolution,[],[f313,f876]) ).

fof(f1092,plain,
    ( spl0_165
    | spl0_128
    | ~ spl0_25
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1086,f634,f312,f829,f1089]) ).

fof(f1086,plain,
    ( c0_1(a2478)
    | c1_1(a2478)
    | ~ spl0_25
    | ~ spl0_93 ),
    inference(resolution,[],[f313,f636]) ).

fof(f1087,plain,
    ( spl0_162
    | spl0_106
    | ~ spl0_25
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f1083,f370,f312,f706,f1056]) ).

fof(f1083,plain,
    ( c1_1(a2411)
    | c0_1(a2411)
    | ~ spl0_25
    | ~ spl0_38 ),
    inference(resolution,[],[f313,f372]) ).

fof(f1082,plain,
    ( spl0_126
    | ~ spl0_164
    | ~ spl0_24
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1075,f874,f309,f1079,f818]) ).

fof(f1075,plain,
    ( ~ c3_1(a2413)
    | c0_1(a2413)
    | ~ spl0_24
    | ~ spl0_135 ),
    inference(resolution,[],[f310,f876]) ).

fof(f1064,plain,
    ( spl0_163
    | ~ spl0_82
    | ~ spl0_11
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1052,f640,f253,f577,f1061]) ).

fof(f253,plain,
    ( spl0_11
  <=> ! [X34] :
        ( ~ c2_1(X34)
        | c3_1(X34)
        | ~ c0_1(X34) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f1052,plain,
    ( ~ c0_1(a2437)
    | c3_1(a2437)
    | ~ spl0_11
    | ~ spl0_94 ),
    inference(resolution,[],[f254,f642]) ).

fof(f254,plain,
    ( ! [X34] :
        ( ~ c2_1(X34)
        | ~ c0_1(X34)
        | c3_1(X34) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f1054,plain,
    ( ~ spl0_88
    | spl0_125
    | ~ spl0_11
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f1049,f470,f253,f811,f609]) ).

fof(f1049,plain,
    ( c3_1(a2405)
    | ~ c0_1(a2405)
    | ~ spl0_11
    | ~ spl0_60 ),
    inference(resolution,[],[f254,f472]) ).

fof(f1046,plain,
    ( spl0_161
    | spl0_140
    | ~ spl0_3
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1041,f975,f220,f903,f1043]) ).

fof(f1041,plain,
    ( c0_1(a2435)
    | c1_1(a2435)
    | ~ spl0_3
    | ~ spl0_152 ),
    inference(resolution,[],[f977,f221]) ).

fof(f977,plain,
    ( c3_1(a2435)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f975]) ).

fof(f1038,plain,
    ( spl0_96
    | spl0_97
    | ~ spl0_8
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1035,f713,f240,f658,f651]) ).

fof(f1035,plain,
    ( c2_1(a2403)
    | c3_1(a2403)
    | ~ spl0_8
    | ~ spl0_107 ),
    inference(resolution,[],[f241,f715]) ).

fof(f1037,plain,
    ( spl0_95
    | spl0_160
    | ~ spl0_8
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1036,f513,f240,f1029,f645]) ).

fof(f1029,plain,
    ( spl0_160
  <=> c3_1(a2412) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1036,plain,
    ( c3_1(a2412)
    | c2_1(a2412)
    | ~ spl0_8
    | ~ spl0_70 ),
    inference(resolution,[],[f241,f515]) ).

fof(f1032,plain,
    ( spl0_148
    | ~ spl0_160
    | ~ spl0_6
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1027,f513,f232,f1029,f952]) ).

fof(f1027,plain,
    ( ~ c3_1(a2412)
    | c0_1(a2412)
    | ~ spl0_6
    | ~ spl0_70 ),
    inference(resolution,[],[f233,f515]) ).

fof(f1017,plain,
    ( spl0_158
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f146,f260,f1014]) ).

fof(f260,plain,
    ( spl0_13
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f146,plain,
    ( ~ hskp29
    | c0_1(a2409) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp10
      | ! [X98] :
          ( ~ c1_1(X98)
          | ~ c2_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c0_1(X97)
          | c3_1(X97)
          | ~ c1_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp7
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c2_1(X46)
          | c1_1(X46)
          | c0_1(X46) ) )
    & ( hskp0
      | ! [X38] :
          ( ~ c3_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0
          | ~ c2_1(X38) )
      | hskp21 )
    & ( ~ hskp5
      | ( ~ c2_1(a2408)
        & c3_1(a2408)
        & c0_1(a2408)
        & ndr1_0 ) )
    & ( hskp18
      | hskp5
      | hskp3 )
    & ( hskp4
      | ! [X13] :
          ( ~ c1_1(X13)
          | c0_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c0_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0
          | c1_1(X14) ) )
    & ( ~ hskp18
      | ( ~ c0_1(a2428)
        & ndr1_0
        & ~ c3_1(a2428)
        & ~ c2_1(a2428) ) )
    & ( ( ~ c2_1(a2435)
        & ~ c0_1(a2435)
        & c3_1(a2435)
        & ndr1_0 )
      | ~ hskp20 )
    & ( hskp2
      | ! [X48] :
          ( ~ ndr1_0
          | c0_1(X48)
          | c2_1(X48)
          | ~ c3_1(X48) )
      | ! [X47] :
          ( ~ c2_1(X47)
          | ~ c0_1(X47)
          | ~ ndr1_0
          | c3_1(X47) ) )
    & ( ( c0_1(a2405)
        & ~ c3_1(a2405)
        & ndr1_0
        & c2_1(a2405) )
      | ~ hskp3 )
    & ( hskp8
      | ! [X84] :
          ( c0_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0
          | c1_1(X84) )
      | hskp9 )
    & ( ! [X17] :
          ( c3_1(X17)
          | ~ c0_1(X17)
          | ~ c1_1(X17)
          | ~ ndr1_0 )
      | hskp30
      | ! [X16] :
          ( c2_1(X16)
          | ~ ndr1_0
          | ~ c1_1(X16)
          | ~ c3_1(X16) ) )
    & ( hskp7
      | hskp9
      | hskp8 )
    & ( hskp14
      | ! [X10] :
          ( ~ c0_1(X10)
          | ~ c3_1(X10)
          | ~ c1_1(X10)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ~ hskp15
      | ( c3_1(a2422)
        & c1_1(a2422)
        & ~ c2_1(a2422)
        & ndr1_0 ) )
    & ( ! [X105] :
          ( ~ ndr1_0
          | ~ c0_1(X105)
          | c3_1(X105)
          | c1_1(X105) )
      | ! [X103] :
          ( ~ c1_1(X103)
          | ~ ndr1_0
          | ~ c3_1(X103)
          | ~ c2_1(X103) )
      | ! [X104] :
          ( ~ c1_1(X104)
          | ~ c0_1(X104)
          | ~ ndr1_0
          | c3_1(X104) ) )
    & ( hskp1
      | ! [X51] :
          ( c1_1(X51)
          | ~ ndr1_0
          | ~ c2_1(X51)
          | ~ c3_1(X51) )
      | ! [X52] :
          ( c0_1(X52)
          | c2_1(X52)
          | ~ ndr1_0
          | c1_1(X52) ) )
    & ( hskp20
      | ! [X53] :
          ( c2_1(X53)
          | ~ c3_1(X53)
          | ~ c1_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ ndr1_0
          | c0_1(X54)
          | ~ c3_1(X54)
          | ~ c1_1(X54) ) )
    & ( hskp24
      | hskp15
      | ! [X99] :
          ( c1_1(X99)
          | ~ ndr1_0
          | ~ c3_1(X99)
          | ~ c2_1(X99) ) )
    & ( hskp12
      | ! [X87] :
          ( c1_1(X87)
          | ~ c3_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp9
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ ndr1_0
          | c0_1(X49)
          | ~ c2_1(X49) ) )
    & ( hskp5
      | ! [X24] :
          ( c2_1(X24)
          | ~ ndr1_0
          | ~ c0_1(X24)
          | c1_1(X24) )
      | hskp22 )
    & ( ! [X40] :
          ( c2_1(X40)
          | c0_1(X40)
          | ~ ndr1_0
          | c1_1(X40) )
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ ndr1_0
          | c0_1(X39)
          | c1_1(X39) )
      | hskp0 )
    & ( ! [X66] :
          ( ~ c3_1(X66)
          | c1_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 )
      | hskp11
      | hskp6 )
    & ( hskp21
      | hskp6
      | ! [X109] :
          ( c0_1(X109)
          | ~ ndr1_0
          | ~ c2_1(X109)
          | ~ c3_1(X109) ) )
    & ( ! [X65] :
          ( ~ c2_1(X65)
          | ~ c0_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | hskp20
      | hskp18 )
    & ( ! [X101] :
          ( c3_1(X101)
          | ~ ndr1_0
          | ~ c1_1(X101)
          | c0_1(X101) )
      | hskp4
      | ! [X100] :
          ( ~ c3_1(X100)
          | c2_1(X100)
          | c1_1(X100)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( c1_1(X74)
          | ~ ndr1_0
          | ~ c2_1(X74)
          | ~ c0_1(X74) )
      | ! [X75] :
          ( c2_1(X75)
          | ~ c1_1(X75)
          | c3_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | ~ c2_1(X76)
          | ~ ndr1_0
          | ~ c0_1(X76) ) )
    & ( ! [X0] :
          ( ~ c0_1(X0)
          | c2_1(X0)
          | c3_1(X0)
          | ~ ndr1_0 )
      | hskp5
      | hskp19 )
    & ( ( ~ c0_1(a2412)
        & ndr1_0
        & ~ c2_1(a2412)
        & c1_1(a2412) )
      | ~ hskp8 )
    & ( hskp2
      | ! [X31] :
          ( ~ c1_1(X31)
          | c2_1(X31)
          | ~ c0_1(X31)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0
          | ~ c2_1(X30) ) )
    & ( hskp23
      | ! [X110] :
          ( c2_1(X110)
          | ~ ndr1_0
          | c3_1(X110)
          | ~ c1_1(X110) )
      | ! [X111] :
          ( c2_1(X111)
          | ~ c3_1(X111)
          | c1_1(X111)
          | ~ ndr1_0 ) )
    & ( ( ~ c0_1(a2413)
        & ndr1_0
        & c2_1(a2413)
        & ~ c1_1(a2413) )
      | ~ hskp9 )
    & ( hskp29
      | ! [X86] :
          ( ~ c0_1(X86)
          | c1_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c0_1(X85)
          | c1_1(X85)
          | ~ ndr1_0
          | ~ c2_1(X85) ) )
    & ( ( ndr1_0
        & c2_1(a2418)
        & c1_1(a2418)
        & ~ c0_1(a2418) )
      | ~ hskp13 )
    & ( ! [X22] :
          ( ~ ndr1_0
          | c1_1(X22)
          | c0_1(X22)
          | ~ c3_1(X22) )
      | ! [X20] :
          ( c3_1(X20)
          | c0_1(X20)
          | ~ ndr1_0
          | c2_1(X20) )
      | ! [X21] :
          ( ~ c1_1(X21)
          | ~ ndr1_0
          | ~ c2_1(X21)
          | ~ c3_1(X21) ) )
    & ( ~ hskp0
      | ( c3_1(a2402)
        & ndr1_0
        & ~ c1_1(a2402)
        & c0_1(a2402) ) )
    & ( ~ hskp16
      | ( ~ c2_1(a2425)
        & ~ c3_1(a2425)
        & ndr1_0
        & c0_1(a2425) ) )
    & ( hskp3
      | ! [X70] :
          ( ~ c0_1(X70)
          | ~ c1_1(X70)
          | ~ ndr1_0
          | ~ c2_1(X70) )
      | hskp24 )
    & ( ! [X3] :
          ( c0_1(X3)
          | ~ c1_1(X3)
          | ~ c3_1(X3)
          | ~ ndr1_0 )
      | hskp17
      | hskp21 )
    & ( ! [X78] :
          ( c3_1(X78)
          | ~ ndr1_0
          | c1_1(X78)
          | c0_1(X78) )
      | hskp28
      | hskp3 )
    & ( ! [X34] :
          ( ~ c0_1(X34)
          | ~ c2_1(X34)
          | ~ ndr1_0
          | c3_1(X34) )
      | ! [X35] :
          ( ~ c2_1(X35)
          | ~ ndr1_0
          | ~ c0_1(X35)
          | ~ c1_1(X35) )
      | hskp20 )
    & ( ! [X77] :
          ( ~ c1_1(X77)
          | c2_1(X77)
          | ~ ndr1_0
          | ~ c0_1(X77) )
      | hskp25
      | hskp19 )
    & ( hskp11
      | hskp21
      | ! [X88] :
          ( ~ c3_1(X88)
          | ~ c2_1(X88)
          | c1_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ ndr1_0
          | c1_1(X12)
          | c0_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | c1_1(X11)
          | ~ c2_1(X11)
          | ~ c3_1(X11) ) )
    & ( ! [X106] :
          ( ~ c2_1(X106)
          | c1_1(X106)
          | ~ ndr1_0
          | c3_1(X106) )
      | hskp9
      | hskp0 )
    & ( ~ hskp23
      | ( c3_1(a2455)
        & c2_1(a2455)
        & ~ c0_1(a2455)
        & ndr1_0 ) )
    & ( ! [X108] :
          ( ~ c3_1(X108)
          | ~ ndr1_0
          | ~ c2_1(X108)
          | c1_1(X108) )
      | hskp1
      | ! [X107] :
          ( ~ ndr1_0
          | c2_1(X107)
          | c1_1(X107)
          | ~ c3_1(X107) ) )
    & ( hskp30
      | hskp2
      | ! [X29] :
          ( ~ c1_1(X29)
          | c3_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( ~ c0_1(X42)
          | ~ ndr1_0
          | ~ c1_1(X42)
          | ~ c3_1(X42) )
      | ! [X41] :
          ( ~ c3_1(X41)
          | c0_1(X41)
          | c2_1(X41)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X25] :
          ( ~ c0_1(X25)
          | ~ ndr1_0
          | c2_1(X25)
          | ~ c1_1(X25) )
      | hskp1
      | hskp5 )
    & ( hskp1
      | hskp6
      | ! [X102] :
          ( c3_1(X102)
          | c2_1(X102)
          | ~ c1_1(X102)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp26
      | hskp11 )
    & ( ! [X50] :
          ( ~ c2_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0
          | c0_1(X50) )
      | hskp15 )
    & ( ~ hskp26
      | ( c0_1(a2484)
        & c1_1(a2484)
        & ndr1_0
        & ~ c3_1(a2484) ) )
    & ( hskp16
      | hskp10
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c3_1(X93)
          | c1_1(X93)
          | c2_1(X93) ) )
    & ( ~ hskp11
      | ( c3_1(a2416)
        & ~ c2_1(a2416)
        & ~ c1_1(a2416)
        & ndr1_0 ) )
    & ( ~ hskp19
      | ( c3_1(a2432)
        & ~ c0_1(a2432)
        & ndr1_0
        & c1_1(a2432) ) )
    & ( ! [X82] :
          ( ~ ndr1_0
          | ~ c2_1(X82)
          | c1_1(X82)
          | ~ c3_1(X82) )
      | hskp2
      | ! [X83] :
          ( c0_1(X83)
          | ~ ndr1_0
          | ~ c2_1(X83)
          | ~ c3_1(X83) ) )
    & ( ! [X91] :
          ( c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0
          | c2_1(X91) )
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c0_1(X90)
          | ~ c2_1(X90)
          | c1_1(X90) )
      | ! [X89] :
          ( c0_1(X89)
          | ~ c2_1(X89)
          | ~ ndr1_0
          | c1_1(X89) ) )
    & ( hskp11
      | hskp12
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c2_1(X15)
          | ~ c1_1(X15)
          | c0_1(X15) ) )
    & ( ! [X57] :
          ( c2_1(X57)
          | c1_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c1_1(X59)
          | c2_1(X59)
          | ~ ndr1_0
          | ~ c3_1(X59) )
      | ! [X58] :
          ( c2_1(X58)
          | c3_1(X58)
          | ~ ndr1_0
          | ~ c1_1(X58) ) )
    & ( ~ hskp7
      | ( c2_1(a2411)
        & ndr1_0
        & ~ c3_1(a2411)
        & ~ c1_1(a2411) ) )
    & ( ( c3_1(a2406)
        & c1_1(a2406)
        & c2_1(a2406)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c0_1(a2407)
        & ndr1_0
        & ~ c2_1(a2407)
        & ~ c1_1(a2407) )
      | ~ hskp4 )
    & ( hskp7
      | hskp20
      | ! [X63] :
          ( c0_1(X63)
          | ~ c1_1(X63)
          | ~ ndr1_0
          | ~ c3_1(X63) ) )
    & ( ! [X19] :
          ( c3_1(X19)
          | ~ ndr1_0
          | c1_1(X19)
          | ~ c2_1(X19) )
      | hskp16
      | hskp12 )
    & ( ! [X73] :
          ( ~ c2_1(X73)
          | ~ c3_1(X73)
          | c1_1(X73)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c0_1(X72)
          | ~ c3_1(X72)
          | ~ c1_1(X72)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c2_1(X71)
          | ~ c0_1(X71)
          | c3_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X68] :
          ( ~ c2_1(X68)
          | c1_1(X68)
          | ~ ndr1_0
          | ~ c0_1(X68) )
      | hskp3
      | ! [X67] :
          ( c1_1(X67)
          | ~ ndr1_0
          | ~ c2_1(X67)
          | c3_1(X67) ) )
    & ( ( c2_1(a2409)
        & ndr1_0
        & c0_1(a2409)
        & c3_1(a2409) )
      | ~ hskp29 )
    & ( ! [X62] :
          ( c2_1(X62)
          | ~ ndr1_0
          | ~ c0_1(X62)
          | c3_1(X62) )
      | ! [X61] :
          ( c2_1(X61)
          | c1_1(X61)
          | ~ ndr1_0
          | c0_1(X61) )
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c1_1(X60)
          | c2_1(X60)
          | ~ c3_1(X60) ) )
    & ( hskp1
      | hskp14
      | ! [X28] :
          ( c2_1(X28)
          | c0_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 ) )
    & ( ~ hskp10
      | ( ~ c1_1(a2414)
        & ~ c3_1(a2414)
        & c0_1(a2414)
        & ndr1_0 ) )
    & ( ~ hskp1
      | ( ~ c2_1(a2403)
        & c1_1(a2403)
        & ndr1_0
        & ~ c3_1(a2403) ) )
    & ( ! [X37] :
          ( ~ c1_1(X37)
          | ~ ndr1_0
          | ~ c2_1(X37)
          | ~ c0_1(X37) )
      | ! [X36] :
          ( c0_1(X36)
          | ~ ndr1_0
          | ~ c1_1(X36)
          | c2_1(X36) )
      | hskp15 )
    & ( hskp7
      | ! [X8] :
          ( c3_1(X8)
          | ~ c0_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ ndr1_0
          | ~ c1_1(X7)
          | c0_1(X7) ) )
    & ( hskp19
      | hskp26
      | hskp30 )
    & ( ! [X95] :
          ( ~ ndr1_0
          | c2_1(X95)
          | ~ c1_1(X95)
          | c0_1(X95) )
      | ! [X96] :
          ( ~ c0_1(X96)
          | ~ c1_1(X96)
          | ~ ndr1_0
          | c2_1(X96) )
      | ! [X94] :
          ( ~ ndr1_0
          | c2_1(X94)
          | ~ c0_1(X94)
          | c1_1(X94) ) )
    & ( ( ndr1_0
        & ~ c2_1(a2410)
        & c0_1(a2410)
        & c1_1(a2410) )
      | ~ hskp6 )
    & ( ~ hskp25
      | ( c2_1(a2478)
        & ndr1_0
        & ~ c3_1(a2478)
        & ~ c0_1(a2478) ) )
    & ( ( c3_1(a2450)
        & ndr1_0
        & c0_1(a2450)
        & c1_1(a2450) )
      | ~ hskp30 )
    & ( hskp5
      | hskp25
      | hskp19 )
    & ( ! [X9] :
          ( ~ ndr1_0
          | ~ c0_1(X9)
          | c3_1(X9)
          | ~ c1_1(X9) )
      | hskp6
      | hskp26 )
    & ( hskp21
      | ! [X92] :
          ( ~ ndr1_0
          | c2_1(X92)
          | c1_1(X92)
          | ~ c0_1(X92) )
      | hskp30 )
    & ( hskp27
      | hskp31
      | hskp25 )
    & ( ! [X33] :
          ( ~ c1_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0
          | ~ c2_1(X33) )
      | hskp15
      | hskp11 )
    & ( hskp25
      | hskp7
      | ! [X32] :
          ( c2_1(X32)
          | ~ c0_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 ) )
    & ( ~ hskp17
      | ( c2_1(a2427)
        & ~ c1_1(a2427)
        & c3_1(a2427)
        & ndr1_0 ) )
    & ( hskp23
      | hskp6
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c1_1(X23)
          | c3_1(X23)
          | ~ c2_1(X23) ) )
    & ( ! [X43] :
          ( ~ c0_1(X43)
          | ~ ndr1_0
          | c3_1(X43)
          | c1_1(X43) )
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c0_1(X44)
          | c2_1(X44)
          | c1_1(X44) )
      | hskp10 )
    & ( ! [X80] :
          ( ~ c2_1(X80)
          | ~ ndr1_0
          | c1_1(X80)
          | c3_1(X80) )
      | ! [X79] :
          ( c3_1(X79)
          | ~ c0_1(X79)
          | ~ c1_1(X79)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ c1_1(a2437)
        & c2_1(a2437)
        & c0_1(a2437) ) )
    & ( ! [X18] :
          ( ~ ndr1_0
          | ~ c3_1(X18)
          | c0_1(X18)
          | ~ c1_1(X18) )
      | hskp9
      | hskp1 )
    & ( ! [X56] :
          ( ~ ndr1_0
          | ~ c0_1(X56)
          | c1_1(X56)
          | c3_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c1_1(X55)
          | ~ c2_1(X55)
          | c0_1(X55) )
      | hskp19 )
    & ( ~ hskp24
      | ( ~ c3_1(a2468)
        & ndr1_0
        & ~ c0_1(a2468)
        & c1_1(a2468) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c1_1(a2453)
        & ~ c0_1(a2453)
        & ~ c2_1(a2453) ) )
    & ( ! [X4] :
          ( c0_1(X4)
          | ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( ~ ndr1_0
          | c2_1(X5)
          | ~ c1_1(X5)
          | ~ c3_1(X5) )
      | ! [X6] :
          ( c2_1(X6)
          | ~ ndr1_0
          | c3_1(X6)
          | c0_1(X6) ) )
    & ( ( ndr1_0
        & c1_1(a2498)
        & c2_1(a2498)
        & c0_1(a2498) )
      | ~ hskp31 )
    & ( ( ~ c1_1(a2500)
        & ndr1_0
        & ~ c3_1(a2500)
        & ~ c0_1(a2500) )
      | ~ hskp27 )
    & ( ~ hskp14
      | ( c1_1(a2420)
        & ndr1_0
        & c2_1(a2420)
        & ~ c3_1(a2420) ) )
    & ( ! [X27] :
          ( c0_1(X27)
          | ~ c3_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0
          | ~ c2_1(X26) )
      | hskp5 )
    & ( ! [X64] :
          ( c3_1(X64)
          | c2_1(X64)
          | ~ ndr1_0
          | c0_1(X64) )
      | hskp13
      | hskp1 )
    & ( hskp17
      | hskp18
      | ! [X69] :
          ( c0_1(X69)
          | c2_1(X69)
          | ~ ndr1_0
          | ~ c1_1(X69) ) )
    & ( ! [X45] :
          ( c0_1(X45)
          | ~ c1_1(X45)
          | c2_1(X45)
          | ~ ndr1_0 )
      | hskp16
      | hskp13 )
    & ( hskp0
      | ! [X81] :
          ( ~ ndr1_0
          | c0_1(X81)
          | ~ c1_1(X81)
          | c2_1(X81) )
      | hskp29 )
    & ( ! [X1] :
          ( ~ ndr1_0
          | c0_1(X1)
          | c1_1(X1)
          | c3_1(X1) )
      | ! [X2] :
          ( ~ ndr1_0
          | ~ c1_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2) )
      | hskp2 )
    & ( ~ hskp2
      | ( ~ c3_1(a2404)
        & ~ c1_1(a2404)
        & ~ c2_1(a2404)
        & ndr1_0 ) )
    & ( ~ hskp12
      | ( ~ c0_1(a2417)
        & c3_1(a2417)
        & ndr1_0
        & ~ c1_1(a2417) ) ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( ~ hskp15
      | ( c3_1(a2422)
        & c1_1(a2422)
        & ~ c2_1(a2422)
        & ndr1_0 ) )
    & ( ~ hskp12
      | ( ~ c0_1(a2417)
        & c3_1(a2417)
        & ndr1_0
        & ~ c1_1(a2417) ) )
    & ( ! [X75] :
          ( c3_1(X75)
          | c2_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | ~ c2_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c0_1(X74)
          | c1_1(X74)
          | ~ c2_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X14] :
          ( c0_1(X14)
          | ~ c2_1(X14)
          | c1_1(X14)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c1_1(X13)
          | c0_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X51] :
          ( ~ c3_1(X51)
          | c1_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c2_1(X52)
          | c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 )
      | hskp1 )
    & ( hskp19
      | hskp26
      | hskp30 )
    & ( ! [X30] :
          ( c1_1(X30)
          | c3_1(X30)
          | ~ c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c1_1(X31)
          | ~ c0_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X77] :
          ( ~ c0_1(X77)
          | ~ c1_1(X77)
          | c2_1(X77)
          | ~ ndr1_0 )
      | hskp19
      | hskp25 )
    & ( ( c0_1(a2405)
        & ~ c3_1(a2405)
        & ndr1_0
        & c2_1(a2405) )
      | ~ hskp3 )
    & ( ! [X87] :
          ( c0_1(X87)
          | c1_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ( ~ c0_1(a2412)
        & ndr1_0
        & ~ c2_1(a2412)
        & c1_1(a2412) )
      | ~ hskp8 )
    & ( hskp5
      | ! [X24] :
          ( c2_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 )
      | hskp22 )
    & ( hskp18
      | hskp5
      | hskp3 )
    & ( hskp26
      | hskp6
      | ! [X9] :
          ( ~ c0_1(X9)
          | ~ c1_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 ) )
    & ( ! [X53] :
          ( ~ c3_1(X53)
          | ~ c1_1(X53)
          | c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c0_1(X54)
          | ~ c3_1(X54)
          | ~ c1_1(X54)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ( ndr1_0
        & c2_1(a2418)
        & c1_1(a2418)
        & ~ c0_1(a2418) )
      | ~ hskp13 )
    & ( hskp18
      | hskp17
      | ! [X69] :
          ( ~ c1_1(X69)
          | c2_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X86] :
          ( ~ c0_1(X86)
          | c1_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c1_1(X85)
          | c0_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X110] :
          ( c3_1(X110)
          | ~ c1_1(X110)
          | c2_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c1_1(X111)
          | c2_1(X111)
          | ~ c3_1(X111)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( c1_1(X82)
          | ~ c3_1(X82)
          | ~ c2_1(X82)
          | ~ ndr1_0 )
      | hskp2
      | ! [X83] :
          ( c0_1(X83)
          | ~ c3_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0 ) )
    & ( ! [X15] :
          ( c0_1(X15)
          | ~ c2_1(X15)
          | ~ c1_1(X15)
          | ~ ndr1_0 )
      | hskp12
      | hskp11 )
    & ( ~ hskp7
      | ( c2_1(a2411)
        & ndr1_0
        & ~ c3_1(a2411)
        & ~ c1_1(a2411) ) )
    & ( ! [X17] :
          ( ~ c1_1(X17)
          | ~ c0_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c3_1(X16)
          | c2_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0 )
      | hskp30 )
    & ( ( ~ c2_1(a2435)
        & ~ c0_1(a2435)
        & c3_1(a2435)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ~ hskp2
      | ( ~ c3_1(a2404)
        & ~ c1_1(a2404)
        & ~ c2_1(a2404)
        & ndr1_0 ) )
    & ( hskp5
      | hskp25
      | hskp19 )
    & ( ! [X91] :
          ( c2_1(X91)
          | c0_1(X91)
          | c1_1(X91)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c1_1(X89)
          | c0_1(X89)
          | ~ c2_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c2_1(X90)
          | ~ c0_1(X90)
          | c1_1(X90)
          | ~ ndr1_0 ) )
    & ( ( ~ c1_1(a2500)
        & ndr1_0
        & ~ c3_1(a2500)
        & ~ c0_1(a2500) )
      | ~ hskp27 )
    & ( ! [X101] :
          ( c3_1(X101)
          | c0_1(X101)
          | ~ c1_1(X101)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c1_1(X100)
          | c2_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X104] :
          ( ~ c1_1(X104)
          | c3_1(X104)
          | ~ c0_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( c3_1(X105)
          | c1_1(X105)
          | ~ c0_1(X105)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | ~ c3_1(X103)
          | ~ c1_1(X103)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp9
      | hskp8 )
    & ( ! [X20] :
          ( c2_1(X20)
          | c3_1(X20)
          | c0_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c2_1(X21)
          | ~ c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c3_1(X22)
          | c1_1(X22)
          | c0_1(X22)
          | ~ ndr1_0 ) )
    & ( ~ hskp0
      | ( c3_1(a2402)
        & ndr1_0
        & ~ c1_1(a2402)
        & c0_1(a2402) ) )
    & ( ! [X72] :
          ( ~ c3_1(X72)
          | ~ c1_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c1_1(X73)
          | ~ c3_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c0_1(X71)
          | c2_1(X71)
          | c3_1(X71)
          | ~ ndr1_0 ) )
    & ( ~ hskp1
      | ( ~ c2_1(a2403)
        & c1_1(a2403)
        & ndr1_0
        & ~ c3_1(a2403) ) )
    & ( hskp9
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c1_1(X18)
          | c0_1(X18)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X56] :
          ( ~ c0_1(X56)
          | c3_1(X56)
          | c1_1(X56)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c2_1(X55)
          | ~ c1_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ~ hskp23
      | ( c3_1(a2455)
        & c2_1(a2455)
        & ~ c0_1(a2455)
        & ndr1_0 ) )
    & ( ! [X50] :
          ( c0_1(X50)
          | ~ c3_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ~ hskp5
      | ( ~ c2_1(a2408)
        & c3_1(a2408)
        & c0_1(a2408)
        & ndr1_0 ) )
    & ( ! [X96] :
          ( ~ c1_1(X96)
          | c2_1(X96)
          | ~ c0_1(X96)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c2_1(X95)
          | ~ c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c0_1(X94)
          | c2_1(X94)
          | c1_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X34] :
          ( ~ c2_1(X34)
          | ~ c0_1(X34)
          | c3_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c2_1(X35)
          | ~ c1_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c1_1(a2498)
        & c2_1(a2498)
        & c0_1(a2498) )
      | ~ hskp31 )
    & ( ~ hskp14
      | ( c1_1(a2420)
        & ndr1_0
        & c2_1(a2420)
        & ~ c3_1(a2420) ) )
    & ( hskp10
      | ! [X93] :
          ( c2_1(X93)
          | c1_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X108] :
          ( c1_1(X108)
          | ~ c3_1(X108)
          | ~ c2_1(X108)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c1_1(X107)
          | ~ c3_1(X107)
          | c2_1(X107)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X63] :
          ( ~ c3_1(X63)
          | c0_1(X63)
          | ~ c1_1(X63)
          | ~ ndr1_0 )
      | hskp20
      | hskp7 )
    & ( ! [X68] :
          ( ~ c0_1(X68)
          | ~ c2_1(X68)
          | c1_1(X68)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | c1_1(X67)
          | c3_1(X67)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c1_1(a2453)
        & ~ c0_1(a2453)
        & ~ c2_1(a2453) ) )
    & ( ~ hskp17
      | ( c2_1(a2427)
        & ~ c1_1(a2427)
        & c3_1(a2427)
        & ndr1_0 ) )
    & ( ! [X45] :
          ( c0_1(X45)
          | c2_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | hskp16
      | hskp13 )
    & ( hskp7
      | hskp6
      | ! [X46] :
          ( c1_1(X46)
          | c0_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( ~ c3_1(X59)
          | ~ c1_1(X59)
          | c2_1(X59)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c2_1(X58)
          | c3_1(X58)
          | ~ c1_1(X58)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c1_1(X57)
          | c0_1(X57)
          | c2_1(X57)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( c0_1(X36)
          | ~ c1_1(X36)
          | c2_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c2_1(X37)
          | ~ c0_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 )
      | hskp15 )
    & ( hskp21
      | hskp11
      | ! [X88] :
          ( ~ c2_1(X88)
          | c1_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a2450)
        & ndr1_0
        & c0_1(a2450)
        & c1_1(a2450) )
      | ~ hskp30 )
    & ( ~ hskp19
      | ( c3_1(a2432)
        & ~ c0_1(a2432)
        & ndr1_0
        & c1_1(a2432) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ c1_1(a2437)
        & c2_1(a2437)
        & c0_1(a2437) ) )
    & ( ~ hskp11
      | ( c3_1(a2416)
        & ~ c2_1(a2416)
        & ~ c1_1(a2416)
        & ndr1_0 ) )
    & ( hskp5
      | ! [X25] :
          ( ~ c1_1(X25)
          | c2_1(X25)
          | ~ c0_1(X25)
          | ~ ndr1_0 )
      | hskp1 )
    & ( hskp0
      | ! [X39] :
          ( c1_1(X39)
          | ~ c3_1(X39)
          | c0_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c2_1(X40)
          | c0_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X106] :
          ( c1_1(X106)
          | ~ c2_1(X106)
          | c3_1(X106)
          | ~ ndr1_0 )
      | hskp9
      | hskp0 )
    & ( ~ hskp26
      | ( c0_1(a2484)
        & c1_1(a2484)
        & ndr1_0
        & ~ c3_1(a2484) ) )
    & ( hskp15
      | ! [X33] :
          ( ~ c2_1(X33)
          | ~ c1_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | hskp11 )
    & ( hskp6
      | hskp21
      | ! [X109] :
          ( ~ c2_1(X109)
          | c0_1(X109)
          | ~ c3_1(X109)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp30
      | ! [X92] :
          ( ~ c0_1(X92)
          | c2_1(X92)
          | c1_1(X92)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c2_1(a2410)
        & c0_1(a2410)
        & c1_1(a2410) )
      | ~ hskp6 )
    & ( hskp30
      | hskp2
      | ! [X29] :
          ( c3_1(X29)
          | ~ c1_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp16
      | ! [X19] :
          ( c3_1(X19)
          | c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X38] :
          ( ~ c3_1(X38)
          | ~ c1_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 )
      | hskp0
      | hskp21 )
    & ( hskp8
      | hskp26
      | hskp11 )
    & ( ( c2_1(a2409)
        & ndr1_0
        & c0_1(a2409)
        & c3_1(a2409) )
      | ~ hskp29 )
    & ( ~ hskp16
      | ( ~ c2_1(a2425)
        & ~ c3_1(a2425)
        & ndr1_0
        & c0_1(a2425) ) )
    & ( ! [X41] :
          ( c0_1(X41)
          | ~ c3_1(X41)
          | c2_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c1_1(X42)
          | ~ c0_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ~ hskp25
      | ( c2_1(a2478)
        & ndr1_0
        & ~ c3_1(a2478)
        & ~ c0_1(a2478) ) )
    & ( ( ~ c0_1(a2413)
        & ndr1_0
        & c2_1(a2413)
        & ~ c1_1(a2413) )
      | ~ hskp9 )
    & ( ! [X60] :
          ( ~ c1_1(X60)
          | c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c1_1(X61)
          | c0_1(X61)
          | c2_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c2_1(X62)
          | c3_1(X62)
          | ~ c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp9
      | ! [X84] :
          ( c0_1(X84)
          | ~ c2_1(X84)
          | c1_1(X84)
          | ~ ndr1_0 ) )
    & ( ! [X11] :
          ( ~ c2_1(X11)
          | ~ c3_1(X11)
          | c1_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c3_1(X12)
          | c1_1(X12)
          | c0_1(X12)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X79] :
          ( ~ c0_1(X79)
          | c3_1(X79)
          | ~ c1_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c2_1(X80)
          | c3_1(X80)
          | c1_1(X80)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ~ hskp10
      | ( ~ c1_1(a2414)
        & ~ c3_1(a2414)
        & c0_1(a2414)
        & ndr1_0 ) )
    & ( ! [X2] :
          ( ~ c1_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | c0_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X64] :
          ( c2_1(X64)
          | c0_1(X64)
          | c3_1(X64)
          | ~ ndr1_0 )
      | hskp13
      | hskp1 )
    & ( ! [X78] :
          ( c3_1(X78)
          | c0_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 )
      | hskp3
      | hskp28 )
    & ( ! [X6] :
          ( c2_1(X6)
          | c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c3_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( ( c0_1(a2407)
        & ndr1_0
        & ~ c2_1(a2407)
        & ~ c1_1(a2407) )
      | ~ hskp4 )
    & ( ~ hskp24
      | ( ~ c3_1(a2468)
        & ndr1_0
        & ~ c0_1(a2468)
        & c1_1(a2468) ) )
    & ( ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | c0_1(X7)
          | ~ ndr1_0 )
      | hskp7
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X26] :
          ( c0_1(X26)
          | ~ c2_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 )
      | hskp5
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c2_1(X27)
          | c0_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( ~ c2_1(X23)
          | ~ c1_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | hskp6
      | hskp23 )
    & ( ~ hskp18
      | ( ~ c0_1(a2428)
        & ndr1_0
        & ~ c3_1(a2428)
        & ~ c2_1(a2428) ) )
    & ( hskp14
      | hskp23
      | ! [X10] :
          ( ~ c0_1(X10)
          | ~ c1_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( c1_1(X66)
          | c0_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | hskp6
      | hskp11 )
    & ( ! [X97] :
          ( ~ c1_1(X97)
          | ~ c0_1(X97)
          | c3_1(X97)
          | ~ ndr1_0 )
      | hskp10
      | ! [X98] :
          ( ~ c3_1(X98)
          | ~ c2_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X28] :
          ( c2_1(X28)
          | c3_1(X28)
          | c0_1(X28)
          | ~ ndr1_0 )
      | hskp14 )
    & ( hskp3
      | hskp24
      | ! [X70] :
          ( ~ c1_1(X70)
          | ~ c2_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X102] :
          ( c3_1(X102)
          | ~ c1_1(X102)
          | c2_1(X102)
          | ~ ndr1_0 )
      | hskp1 )
    & ( hskp29
      | ! [X81] :
          ( c0_1(X81)
          | c2_1(X81)
          | ~ c1_1(X81)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c3_1(X99)
          | ~ c2_1(X99)
          | ~ ndr1_0 )
      | hskp15
      | hskp24 )
    & ( hskp2
      | ! [X48] :
          ( c0_1(X48)
          | ~ c3_1(X48)
          | c2_1(X48)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c0_1(X47)
          | c3_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp31
      | hskp25 )
    & ( ( c3_1(a2406)
        & c1_1(a2406)
        & c2_1(a2406)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ! [X44] :
          ( c2_1(X44)
          | ~ c0_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c3_1(X43)
          | c1_1(X43)
          | ~ c0_1(X43)
          | ~ ndr1_0 )
      | hskp10 )
    & ( hskp5
      | ! [X0] :
          ( ~ c0_1(X0)
          | c3_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | hskp19 )
    & ( hskp20
      | ! [X65] :
          ( ~ c0_1(X65)
          | ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | hskp18 )
    & ( hskp17
      | ! [X3] :
          ( ~ c1_1(X3)
          | ~ c3_1(X3)
          | c0_1(X3)
          | ~ ndr1_0 )
      | hskp21 )
    & ( hskp7
      | ! [X32] :
          ( c2_1(X32)
          | ~ c1_1(X32)
          | ~ c0_1(X32)
          | ~ ndr1_0 )
      | hskp25 )
    & ( hskp28
      | ! [X49] :
          ( ~ c2_1(X49)
          | c0_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | hskp9 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( ~ hskp15
      | ( c3_1(a2422)
        & c1_1(a2422)
        & ~ c2_1(a2422)
        & ndr1_0 ) )
    & ( ~ hskp12
      | ( ~ c0_1(a2417)
        & c3_1(a2417)
        & ndr1_0
        & ~ c1_1(a2417) ) )
    & ( ! [X75] :
          ( ndr1_0
         => ( c3_1(X75)
            | c2_1(X75)
            | ~ c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | ~ c2_1(X76)
            | ~ c0_1(X76) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c0_1(X74)
            | c1_1(X74)
            | ~ c2_1(X74) ) ) )
    & ( hskp4
      | ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | ~ c2_1(X14)
            | c1_1(X14) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c1_1(X13)
            | c0_1(X13)
            | ~ c3_1(X13) ) ) )
    & ( ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | c1_1(X51)
            | ~ c2_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c2_1(X52)
            | c1_1(X52)
            | c0_1(X52) ) )
      | hskp1 )
    & ( hskp19
      | hskp26
      | hskp30 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c1_1(X30)
            | c3_1(X30)
            | ~ c2_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c1_1(X31)
            | ~ c0_1(X31)
            | c2_1(X31) ) )
      | hskp2 )
    & ( ! [X77] :
          ( ndr1_0
         => ( ~ c0_1(X77)
            | ~ c1_1(X77)
            | c2_1(X77) ) )
      | hskp19
      | hskp25 )
    & ( ( c0_1(a2405)
        & ~ c3_1(a2405)
        & ndr1_0
        & c2_1(a2405) )
      | ~ hskp3 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c0_1(X87)
            | c1_1(X87)
            | ~ c3_1(X87) ) )
      | hskp12 )
    & ( ( ~ c0_1(a2412)
        & ndr1_0
        & ~ c2_1(a2412)
        & c1_1(a2412) )
      | ~ hskp8 )
    & ( hskp5
      | ! [X24] :
          ( ndr1_0
         => ( c2_1(X24)
            | ~ c0_1(X24)
            | c1_1(X24) ) )
      | hskp22 )
    & ( hskp18
      | hskp5
      | hskp3 )
    & ( hskp26
      | hskp6
      | ! [X9] :
          ( ndr1_0
         => ( ~ c0_1(X9)
            | ~ c1_1(X9)
            | c3_1(X9) ) ) )
    & ( ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c1_1(X53)
            | c2_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c0_1(X54)
            | ~ c3_1(X54)
            | ~ c1_1(X54) ) )
      | hskp20 )
    & ( ( ndr1_0
        & c2_1(a2418)
        & c1_1(a2418)
        & ~ c0_1(a2418) )
      | ~ hskp13 )
    & ( hskp18
      | hskp17
      | ! [X69] :
          ( ndr1_0
         => ( ~ c1_1(X69)
            | c2_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp29
      | ! [X86] :
          ( ndr1_0
         => ( ~ c0_1(X86)
            | c1_1(X86)
            | ~ c3_1(X86) ) )
      | ! [X85] :
          ( ndr1_0
         => ( c1_1(X85)
            | c0_1(X85)
            | ~ c2_1(X85) ) ) )
    & ( hskp23
      | ! [X110] :
          ( ndr1_0
         => ( c3_1(X110)
            | ~ c1_1(X110)
            | c2_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( c1_1(X111)
            | c2_1(X111)
            | ~ c3_1(X111) ) ) )
    & ( ! [X82] :
          ( ndr1_0
         => ( c1_1(X82)
            | ~ c3_1(X82)
            | ~ c2_1(X82) ) )
      | hskp2
      | ! [X83] :
          ( ndr1_0
         => ( c0_1(X83)
            | ~ c3_1(X83)
            | ~ c2_1(X83) ) ) )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | ~ c2_1(X15)
            | ~ c1_1(X15) ) )
      | hskp12
      | hskp11 )
    & ( ~ hskp7
      | ( c2_1(a2411)
        & ndr1_0
        & ~ c3_1(a2411)
        & ~ c1_1(a2411) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( ~ c1_1(X17)
            | ~ c0_1(X17)
            | c3_1(X17) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | c2_1(X16)
            | ~ c1_1(X16) ) )
      | hskp30 )
    & ( ( ~ c2_1(a2435)
        & ~ c0_1(a2435)
        & c3_1(a2435)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ~ hskp2
      | ( ~ c3_1(a2404)
        & ~ c1_1(a2404)
        & ~ c2_1(a2404)
        & ndr1_0 ) )
    & ( hskp5
      | hskp25
      | hskp19 )
    & ( ! [X91] :
          ( ndr1_0
         => ( c2_1(X91)
            | c0_1(X91)
            | c1_1(X91) ) )
      | ! [X89] :
          ( ndr1_0
         => ( c1_1(X89)
            | c0_1(X89)
            | ~ c2_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c2_1(X90)
            | ~ c0_1(X90)
            | c1_1(X90) ) ) )
    & ( ( ~ c1_1(a2500)
        & ndr1_0
        & ~ c3_1(a2500)
        & ~ c0_1(a2500) )
      | ~ hskp27 )
    & ( ! [X101] :
          ( ndr1_0
         => ( c3_1(X101)
            | c0_1(X101)
            | ~ c1_1(X101) ) )
      | ! [X100] :
          ( ndr1_0
         => ( c1_1(X100)
            | c2_1(X100)
            | ~ c3_1(X100) ) )
      | hskp4 )
    & ( ! [X104] :
          ( ndr1_0
         => ( ~ c1_1(X104)
            | c3_1(X104)
            | ~ c0_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( c3_1(X105)
            | c1_1(X105)
            | ~ c0_1(X105) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c2_1(X103)
            | ~ c3_1(X103)
            | ~ c1_1(X103) ) ) )
    & ( hskp7
      | hskp9
      | hskp8 )
    & ( ! [X20] :
          ( ndr1_0
         => ( c2_1(X20)
            | c3_1(X20)
            | c0_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c2_1(X21)
            | ~ c1_1(X21)
            | ~ c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | c1_1(X22)
            | c0_1(X22) ) ) )
    & ( ~ hskp0
      | ( c3_1(a2402)
        & ndr1_0
        & ~ c1_1(a2402)
        & c0_1(a2402) ) )
    & ( ! [X72] :
          ( ndr1_0
         => ( ~ c3_1(X72)
            | ~ c1_1(X72)
            | ~ c0_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( c1_1(X73)
            | ~ c3_1(X73)
            | ~ c2_1(X73) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c0_1(X71)
            | c2_1(X71)
            | c3_1(X71) ) ) )
    & ( ~ hskp1
      | ( ~ c2_1(a2403)
        & c1_1(a2403)
        & ndr1_0
        & ~ c3_1(a2403) ) )
    & ( hskp9
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c1_1(X18)
            | c0_1(X18) ) )
      | hskp1 )
    & ( ! [X56] :
          ( ndr1_0
         => ( ~ c0_1(X56)
            | c3_1(X56)
            | c1_1(X56) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c2_1(X55)
            | ~ c1_1(X55)
            | c0_1(X55) ) )
      | hskp19 )
    & ( ~ hskp23
      | ( c3_1(a2455)
        & c2_1(a2455)
        & ~ c0_1(a2455)
        & ndr1_0 ) )
    & ( ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | ~ c3_1(X50)
            | ~ c2_1(X50) ) )
      | hskp15 )
    & ( ~ hskp5
      | ( ~ c2_1(a2408)
        & c3_1(a2408)
        & c0_1(a2408)
        & ndr1_0 ) )
    & ( ! [X96] :
          ( ndr1_0
         => ( ~ c1_1(X96)
            | c2_1(X96)
            | ~ c0_1(X96) ) )
      | ! [X95] :
          ( ndr1_0
         => ( c2_1(X95)
            | ~ c1_1(X95)
            | c0_1(X95) ) )
      | ! [X94] :
          ( ndr1_0
         => ( ~ c0_1(X94)
            | c2_1(X94)
            | c1_1(X94) ) ) )
    & ( hskp20
      | ! [X34] :
          ( ndr1_0
         => ( ~ c2_1(X34)
            | ~ c0_1(X34)
            | c3_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c2_1(X35)
            | ~ c1_1(X35)
            | ~ c0_1(X35) ) ) )
    & ( ( ndr1_0
        & c1_1(a2498)
        & c2_1(a2498)
        & c0_1(a2498) )
      | ~ hskp31 )
    & ( ~ hskp14
      | ( c1_1(a2420)
        & ndr1_0
        & c2_1(a2420)
        & ~ c3_1(a2420) ) )
    & ( hskp10
      | ! [X93] :
          ( ndr1_0
         => ( c2_1(X93)
            | c1_1(X93)
            | ~ c3_1(X93) ) )
      | hskp16 )
    & ( ! [X108] :
          ( ndr1_0
         => ( c1_1(X108)
            | ~ c3_1(X108)
            | ~ c2_1(X108) ) )
      | ! [X107] :
          ( ndr1_0
         => ( c1_1(X107)
            | ~ c3_1(X107)
            | c2_1(X107) ) )
      | hskp1 )
    & ( ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | c0_1(X63)
            | ~ c1_1(X63) ) )
      | hskp20
      | hskp7 )
    & ( ! [X68] :
          ( ndr1_0
         => ( ~ c0_1(X68)
            | ~ c2_1(X68)
            | c1_1(X68) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | c1_1(X67)
            | c3_1(X67) ) )
      | hskp3 )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c1_1(a2453)
        & ~ c0_1(a2453)
        & ~ c2_1(a2453) ) )
    & ( ~ hskp17
      | ( c2_1(a2427)
        & ~ c1_1(a2427)
        & c3_1(a2427)
        & ndr1_0 ) )
    & ( ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | c2_1(X45)
            | ~ c1_1(X45) ) )
      | hskp16
      | hskp13 )
    & ( hskp7
      | hskp6
      | ! [X46] :
          ( ndr1_0
         => ( c1_1(X46)
            | c0_1(X46)
            | ~ c2_1(X46) ) ) )
    & ( ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c1_1(X59)
            | c2_1(X59) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c2_1(X58)
            | c3_1(X58)
            | ~ c1_1(X58) ) )
      | ! [X57] :
          ( ndr1_0
         => ( c1_1(X57)
            | c0_1(X57)
            | c2_1(X57) ) ) )
    & ( ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | ~ c1_1(X36)
            | c2_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | ~ c0_1(X37)
            | ~ c1_1(X37) ) )
      | hskp15 )
    & ( hskp21
      | hskp11
      | ! [X88] :
          ( ndr1_0
         => ( ~ c2_1(X88)
            | c1_1(X88)
            | ~ c3_1(X88) ) ) )
    & ( ( c3_1(a2450)
        & ndr1_0
        & c0_1(a2450)
        & c1_1(a2450) )
      | ~ hskp30 )
    & ( ~ hskp19
      | ( c3_1(a2432)
        & ~ c0_1(a2432)
        & ndr1_0
        & c1_1(a2432) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ c1_1(a2437)
        & c2_1(a2437)
        & c0_1(a2437) ) )
    & ( ~ hskp11
      | ( c3_1(a2416)
        & ~ c2_1(a2416)
        & ~ c1_1(a2416)
        & ndr1_0 ) )
    & ( hskp5
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | c2_1(X25)
            | ~ c0_1(X25) ) )
      | hskp1 )
    & ( hskp0
      | ! [X39] :
          ( ndr1_0
         => ( c1_1(X39)
            | ~ c3_1(X39)
            | c0_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c2_1(X40)
            | c0_1(X40)
            | c1_1(X40) ) ) )
    & ( ! [X106] :
          ( ndr1_0
         => ( c1_1(X106)
            | ~ c2_1(X106)
            | c3_1(X106) ) )
      | hskp9
      | hskp0 )
    & ( ~ hskp26
      | ( c0_1(a2484)
        & c1_1(a2484)
        & ndr1_0
        & ~ c3_1(a2484) ) )
    & ( hskp15
      | ! [X33] :
          ( ndr1_0
         => ( ~ c2_1(X33)
            | ~ c1_1(X33)
            | ~ c3_1(X33) ) )
      | hskp11 )
    & ( hskp6
      | hskp21
      | ! [X109] :
          ( ndr1_0
         => ( ~ c2_1(X109)
            | c0_1(X109)
            | ~ c3_1(X109) ) ) )
    & ( hskp21
      | hskp30
      | ! [X92] :
          ( ndr1_0
         => ( ~ c0_1(X92)
            | c2_1(X92)
            | c1_1(X92) ) ) )
    & ( ( ndr1_0
        & ~ c2_1(a2410)
        & c0_1(a2410)
        & c1_1(a2410) )
      | ~ hskp6 )
    & ( hskp30
      | hskp2
      | ! [X29] :
          ( ndr1_0
         => ( c3_1(X29)
            | ~ c1_1(X29)
            | c2_1(X29) ) ) )
    & ( hskp12
      | hskp16
      | ! [X19] :
          ( ndr1_0
         => ( c3_1(X19)
            | c1_1(X19)
            | ~ c2_1(X19) ) ) )
    & ( ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | ~ c1_1(X38)
            | ~ c2_1(X38) ) )
      | hskp0
      | hskp21 )
    & ( hskp8
      | hskp26
      | hskp11 )
    & ( ( c2_1(a2409)
        & ndr1_0
        & c0_1(a2409)
        & c3_1(a2409) )
      | ~ hskp29 )
    & ( ~ hskp16
      | ( ~ c2_1(a2425)
        & ~ c3_1(a2425)
        & ndr1_0
        & c0_1(a2425) ) )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | ~ c3_1(X41)
            | c2_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c1_1(X42)
            | ~ c0_1(X42)
            | ~ c3_1(X42) ) )
      | hskp12 )
    & ( ~ hskp25
      | ( c2_1(a2478)
        & ndr1_0
        & ~ c3_1(a2478)
        & ~ c0_1(a2478) ) )
    & ( ( ~ c0_1(a2413)
        & ndr1_0
        & c2_1(a2413)
        & ~ c1_1(a2413) )
      | ~ hskp9 )
    & ( ! [X60] :
          ( ndr1_0
         => ( ~ c1_1(X60)
            | c2_1(X60)
            | ~ c3_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c1_1(X61)
            | c0_1(X61)
            | c2_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( c2_1(X62)
            | c3_1(X62)
            | ~ c0_1(X62) ) ) )
    & ( hskp8
      | hskp9
      | ! [X84] :
          ( ndr1_0
         => ( c0_1(X84)
            | ~ c2_1(X84)
            | c1_1(X84) ) ) )
    & ( ! [X11] :
          ( ndr1_0
         => ( ~ c2_1(X11)
            | ~ c3_1(X11)
            | c1_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | c1_1(X12)
            | c0_1(X12) ) )
      | hskp10 )
    & ( ! [X79] :
          ( ndr1_0
         => ( ~ c0_1(X79)
            | c3_1(X79)
            | ~ c1_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c2_1(X80)
            | c3_1(X80)
            | c1_1(X80) ) )
      | hskp14 )
    & ( ~ hskp10
      | ( ~ c1_1(a2414)
        & ~ c3_1(a2414)
        & c0_1(a2414)
        & ndr1_0 ) )
    & ( ! [X2] :
          ( ndr1_0
         => ( ~ c1_1(X2)
            | ~ c2_1(X2)
            | ~ c0_1(X2) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c1_1(X1)
            | c0_1(X1)
            | c3_1(X1) ) )
      | hskp2 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c2_1(X64)
            | c0_1(X64)
            | c3_1(X64) ) )
      | hskp13
      | hskp1 )
    & ( ! [X78] :
          ( ndr1_0
         => ( c3_1(X78)
            | c0_1(X78)
            | c1_1(X78) ) )
      | hskp3
      | hskp28 )
    & ( ! [X6] :
          ( ndr1_0
         => ( c2_1(X6)
            | c0_1(X6)
            | c3_1(X6) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | ~ c2_1(X4)
            | ~ c1_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( ~ c1_1(X5)
            | ~ c3_1(X5)
            | c2_1(X5) ) ) )
    & ( ( c0_1(a2407)
        & ndr1_0
        & ~ c2_1(a2407)
        & ~ c1_1(a2407) )
      | ~ hskp4 )
    & ( ~ hskp24
      | ( ~ c3_1(a2468)
        & ndr1_0
        & ~ c0_1(a2468)
        & c1_1(a2468) ) )
    & ( ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c1_1(X7)
            | c0_1(X7) ) )
      | hskp7
      | ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | ~ c0_1(X8)
            | c3_1(X8) ) ) )
    & ( ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | ~ c2_1(X26)
            | c1_1(X26) ) )
      | hskp5
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c2_1(X27)
            | c0_1(X27) ) ) )
    & ( ! [X23] :
          ( ndr1_0
         => ( ~ c2_1(X23)
            | ~ c1_1(X23)
            | c3_1(X23) ) )
      | hskp6
      | hskp23 )
    & ( ~ hskp18
      | ( ~ c0_1(a2428)
        & ndr1_0
        & ~ c3_1(a2428)
        & ~ c2_1(a2428) ) )
    & ( hskp14
      | hskp23
      | ! [X10] :
          ( ndr1_0
         => ( ~ c0_1(X10)
            | ~ c1_1(X10)
            | ~ c3_1(X10) ) ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | c0_1(X66)
            | ~ c3_1(X66) ) )
      | hskp6
      | hskp11 )
    & ( ! [X97] :
          ( ndr1_0
         => ( ~ c1_1(X97)
            | ~ c0_1(X97)
            | c3_1(X97) ) )
      | hskp10
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | ~ c2_1(X98)
            | ~ c1_1(X98) ) ) )
    & ( hskp1
      | ! [X28] :
          ( ndr1_0
         => ( c2_1(X28)
            | c3_1(X28)
            | c0_1(X28) ) )
      | hskp14 )
    & ( hskp3
      | hskp24
      | ! [X70] :
          ( ndr1_0
         => ( ~ c1_1(X70)
            | ~ c2_1(X70)
            | ~ c0_1(X70) ) ) )
    & ( hskp6
      | ! [X102] :
          ( ndr1_0
         => ( c3_1(X102)
            | ~ c1_1(X102)
            | c2_1(X102) ) )
      | hskp1 )
    & ( hskp29
      | ! [X81] :
          ( ndr1_0
         => ( c0_1(X81)
            | c2_1(X81)
            | ~ c1_1(X81) ) )
      | hskp0 )
    & ( ! [X99] :
          ( ndr1_0
         => ( c1_1(X99)
            | ~ c3_1(X99)
            | ~ c2_1(X99) ) )
      | hskp15
      | hskp24 )
    & ( hskp2
      | ! [X48] :
          ( ndr1_0
         => ( c0_1(X48)
            | ~ c3_1(X48)
            | c2_1(X48) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c0_1(X47)
            | c3_1(X47)
            | ~ c2_1(X47) ) ) )
    & ( hskp27
      | hskp31
      | hskp25 )
    & ( ( c3_1(a2406)
        & c1_1(a2406)
        & c2_1(a2406)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ! [X44] :
          ( ndr1_0
         => ( c2_1(X44)
            | ~ c0_1(X44)
            | c1_1(X44) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c3_1(X43)
            | c1_1(X43)
            | ~ c0_1(X43) ) )
      | hskp10 )
    & ( hskp5
      | ! [X0] :
          ( ndr1_0
         => ( ~ c0_1(X0)
            | c3_1(X0)
            | c2_1(X0) ) )
      | hskp19 )
    & ( hskp20
      | ! [X65] :
          ( ndr1_0
         => ( ~ c0_1(X65)
            | ~ c2_1(X65)
            | ~ c3_1(X65) ) )
      | hskp18 )
    & ( hskp17
      | ! [X3] :
          ( ndr1_0
         => ( ~ c1_1(X3)
            | ~ c3_1(X3)
            | c0_1(X3) ) )
      | hskp21 )
    & ( hskp7
      | ! [X32] :
          ( ndr1_0
         => ( c2_1(X32)
            | ~ c1_1(X32)
            | ~ c0_1(X32) ) )
      | hskp25 )
    & ( hskp28
      | ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | c0_1(X49)
            | ~ c3_1(X49) ) )
      | hskp9 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( ~ hskp15
          | ( c3_1(a2422)
            & c1_1(a2422)
            & ~ c2_1(a2422)
            & ndr1_0 ) )
        & ( ~ hskp12
          | ( ~ c0_1(a2417)
            & c3_1(a2417)
            & ndr1_0
            & ~ c1_1(a2417) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( c3_1(X75)
                | c2_1(X75)
                | ~ c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c2_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c1_1(X74)
                | ~ c2_1(X74) ) ) )
        & ( hskp4
          | ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | ~ c2_1(X14)
                | c1_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | c0_1(X13)
                | ~ c3_1(X13) ) ) )
        & ( ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | c1_1(X51)
                | ~ c2_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c2_1(X52)
                | c1_1(X52)
                | c0_1(X52) ) )
          | hskp1 )
        & ( hskp19
          | hskp26
          | hskp30 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c1_1(X30)
                | c3_1(X30)
                | ~ c2_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | ~ c0_1(X31)
                | c2_1(X31) ) )
          | hskp2 )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | ~ c1_1(X77)
                | c2_1(X77) ) )
          | hskp19
          | hskp25 )
        & ( ( c0_1(a2405)
            & ~ c3_1(a2405)
            & ndr1_0
            & c2_1(a2405) )
          | ~ hskp3 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c0_1(X87)
                | c1_1(X87)
                | ~ c3_1(X87) ) )
          | hskp12 )
        & ( ( ~ c0_1(a2412)
            & ndr1_0
            & ~ c2_1(a2412)
            & c1_1(a2412) )
          | ~ hskp8 )
        & ( hskp5
          | ! [X24] :
              ( ndr1_0
             => ( c2_1(X24)
                | ~ c0_1(X24)
                | c1_1(X24) ) )
          | hskp22 )
        & ( hskp18
          | hskp5
          | hskp3 )
        & ( hskp26
          | hskp6
          | ! [X9] :
              ( ndr1_0
             => ( ~ c0_1(X9)
                | ~ c1_1(X9)
                | c3_1(X9) ) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c1_1(X53)
                | c2_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | ~ c3_1(X54)
                | ~ c1_1(X54) ) )
          | hskp20 )
        & ( ( ndr1_0
            & c2_1(a2418)
            & c1_1(a2418)
            & ~ c0_1(a2418) )
          | ~ hskp13 )
        & ( hskp18
          | hskp17
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | c2_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp29
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | c1_1(X86)
                | ~ c3_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | c0_1(X85)
                | ~ c2_1(X85) ) ) )
        & ( hskp23
          | ! [X110] :
              ( ndr1_0
             => ( c3_1(X110)
                | ~ c1_1(X110)
                | c2_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( c1_1(X111)
                | c2_1(X111)
                | ~ c3_1(X111) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | ~ c3_1(X82)
                | ~ c2_1(X82) ) )
          | hskp2
          | ! [X83] :
              ( ndr1_0
             => ( c0_1(X83)
                | ~ c3_1(X83)
                | ~ c2_1(X83) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | ~ c2_1(X15)
                | ~ c1_1(X15) ) )
          | hskp12
          | hskp11 )
        & ( ~ hskp7
          | ( c2_1(a2411)
            & ndr1_0
            & ~ c3_1(a2411)
            & ~ c1_1(a2411) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | ~ c0_1(X17)
                | c3_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | c2_1(X16)
                | ~ c1_1(X16) ) )
          | hskp30 )
        & ( ( ~ c2_1(a2435)
            & ~ c0_1(a2435)
            & c3_1(a2435)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ~ hskp2
          | ( ~ c3_1(a2404)
            & ~ c1_1(a2404)
            & ~ c2_1(a2404)
            & ndr1_0 ) )
        & ( hskp5
          | hskp25
          | hskp19 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | c0_1(X91)
                | c1_1(X91) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | c0_1(X89)
                | ~ c2_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | ~ c0_1(X90)
                | c1_1(X90) ) ) )
        & ( ( ~ c1_1(a2500)
            & ndr1_0
            & ~ c3_1(a2500)
            & ~ c0_1(a2500) )
          | ~ hskp27 )
        & ( ! [X101] :
              ( ndr1_0
             => ( c3_1(X101)
                | c0_1(X101)
                | ~ c1_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c1_1(X100)
                | c2_1(X100)
                | ~ c3_1(X100) ) )
          | hskp4 )
        & ( ! [X104] :
              ( ndr1_0
             => ( ~ c1_1(X104)
                | c3_1(X104)
                | ~ c0_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( c3_1(X105)
                | c1_1(X105)
                | ~ c0_1(X105) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | ~ c3_1(X103)
                | ~ c1_1(X103) ) ) )
        & ( hskp7
          | hskp9
          | hskp8 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c2_1(X20)
                | c3_1(X20)
                | c0_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c1_1(X21)
                | ~ c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( ~ hskp0
          | ( c3_1(a2402)
            & ndr1_0
            & ~ c1_1(a2402)
            & c0_1(a2402) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c1_1(X72)
                | ~ c0_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | ~ c3_1(X73)
                | ~ c2_1(X73) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c2_1(X71)
                | c3_1(X71) ) ) )
        & ( ~ hskp1
          | ( ~ c2_1(a2403)
            & c1_1(a2403)
            & ndr1_0
            & ~ c3_1(a2403) ) )
        & ( hskp9
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c1_1(X18)
                | c0_1(X18) ) )
          | hskp1 )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c0_1(X56)
                | c3_1(X56)
                | c1_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c1_1(X55)
                | c0_1(X55) ) )
          | hskp19 )
        & ( ~ hskp23
          | ( c3_1(a2455)
            & c2_1(a2455)
            & ~ c0_1(a2455)
            & ndr1_0 ) )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | ~ c3_1(X50)
                | ~ c2_1(X50) ) )
          | hskp15 )
        & ( ~ hskp5
          | ( ~ c2_1(a2408)
            & c3_1(a2408)
            & c0_1(a2408)
            & ndr1_0 ) )
        & ( ! [X96] :
              ( ndr1_0
             => ( ~ c1_1(X96)
                | c2_1(X96)
                | ~ c0_1(X96) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | ~ c1_1(X95)
                | c0_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c0_1(X94)
                | c2_1(X94)
                | c1_1(X94) ) ) )
        & ( hskp20
          | ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | ~ c0_1(X34)
                | c3_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | ~ c1_1(X35)
                | ~ c0_1(X35) ) ) )
        & ( ( ndr1_0
            & c1_1(a2498)
            & c2_1(a2498)
            & c0_1(a2498) )
          | ~ hskp31 )
        & ( ~ hskp14
          | ( c1_1(a2420)
            & ndr1_0
            & c2_1(a2420)
            & ~ c3_1(a2420) ) )
        & ( hskp10
          | ! [X93] :
              ( ndr1_0
             => ( c2_1(X93)
                | c1_1(X93)
                | ~ c3_1(X93) ) )
          | hskp16 )
        & ( ! [X108] :
              ( ndr1_0
             => ( c1_1(X108)
                | ~ c3_1(X108)
                | ~ c2_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( c1_1(X107)
                | ~ c3_1(X107)
                | c2_1(X107) ) )
          | hskp1 )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | c0_1(X63)
                | ~ c1_1(X63) ) )
          | hskp20
          | hskp7 )
        & ( ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | ~ c2_1(X68)
                | c1_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | c1_1(X67)
                | c3_1(X67) ) )
          | hskp3 )
        & ( ~ hskp22
          | ( ndr1_0
            & ~ c1_1(a2453)
            & ~ c0_1(a2453)
            & ~ c2_1(a2453) ) )
        & ( ~ hskp17
          | ( c2_1(a2427)
            & ~ c1_1(a2427)
            & c3_1(a2427)
            & ndr1_0 ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c2_1(X45)
                | ~ c1_1(X45) ) )
          | hskp16
          | hskp13 )
        & ( hskp7
          | hskp6
          | ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | c0_1(X46)
                | ~ c2_1(X46) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c1_1(X59)
                | c2_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c2_1(X58)
                | c3_1(X58)
                | ~ c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | c0_1(X57)
                | c2_1(X57) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | ~ c1_1(X36)
                | c2_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c0_1(X37)
                | ~ c1_1(X37) ) )
          | hskp15 )
        & ( hskp21
          | hskp11
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | c1_1(X88)
                | ~ c3_1(X88) ) ) )
        & ( ( c3_1(a2450)
            & ndr1_0
            & c0_1(a2450)
            & c1_1(a2450) )
          | ~ hskp30 )
        & ( ~ hskp19
          | ( c3_1(a2432)
            & ~ c0_1(a2432)
            & ndr1_0
            & c1_1(a2432) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & ~ c1_1(a2437)
            & c2_1(a2437)
            & c0_1(a2437) ) )
        & ( ~ hskp11
          | ( c3_1(a2416)
            & ~ c2_1(a2416)
            & ~ c1_1(a2416)
            & ndr1_0 ) )
        & ( hskp5
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c2_1(X25)
                | ~ c0_1(X25) ) )
          | hskp1 )
        & ( hskp0
          | ! [X39] :
              ( ndr1_0
             => ( c1_1(X39)
                | ~ c3_1(X39)
                | c0_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c2_1(X40)
                | c0_1(X40)
                | c1_1(X40) ) ) )
        & ( ! [X106] :
              ( ndr1_0
             => ( c1_1(X106)
                | ~ c2_1(X106)
                | c3_1(X106) ) )
          | hskp9
          | hskp0 )
        & ( ~ hskp26
          | ( c0_1(a2484)
            & c1_1(a2484)
            & ndr1_0
            & ~ c3_1(a2484) ) )
        & ( hskp15
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | ~ c1_1(X33)
                | ~ c3_1(X33) ) )
          | hskp11 )
        & ( hskp6
          | hskp21
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | c0_1(X109)
                | ~ c3_1(X109) ) ) )
        & ( hskp21
          | hskp30
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | c2_1(X92)
                | c1_1(X92) ) ) )
        & ( ( ndr1_0
            & ~ c2_1(a2410)
            & c0_1(a2410)
            & c1_1(a2410) )
          | ~ hskp6 )
        & ( hskp30
          | hskp2
          | ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | ~ c1_1(X29)
                | c2_1(X29) ) ) )
        & ( hskp12
          | hskp16
          | ! [X19] :
              ( ndr1_0
             => ( c3_1(X19)
                | c1_1(X19)
                | ~ c2_1(X19) ) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c1_1(X38)
                | ~ c2_1(X38) ) )
          | hskp0
          | hskp21 )
        & ( hskp8
          | hskp26
          | hskp11 )
        & ( ( c2_1(a2409)
            & ndr1_0
            & c0_1(a2409)
            & c3_1(a2409) )
          | ~ hskp29 )
        & ( ~ hskp16
          | ( ~ c2_1(a2425)
            & ~ c3_1(a2425)
            & ndr1_0
            & c0_1(a2425) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | ~ c3_1(X41)
                | c2_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | ~ c0_1(X42)
                | ~ c3_1(X42) ) )
          | hskp12 )
        & ( ~ hskp25
          | ( c2_1(a2478)
            & ndr1_0
            & ~ c3_1(a2478)
            & ~ c0_1(a2478) ) )
        & ( ( ~ c0_1(a2413)
            & ndr1_0
            & c2_1(a2413)
            & ~ c1_1(a2413) )
          | ~ hskp9 )
        & ( ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | c2_1(X60)
                | ~ c3_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c1_1(X61)
                | c0_1(X61)
                | c2_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c2_1(X62)
                | c3_1(X62)
                | ~ c0_1(X62) ) ) )
        & ( hskp8
          | hskp9
          | ! [X84] :
              ( ndr1_0
             => ( c0_1(X84)
                | ~ c2_1(X84)
                | c1_1(X84) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | ~ c3_1(X11)
                | c1_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) )
          | hskp10 )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c3_1(X79)
                | ~ c1_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | c3_1(X80)
                | c1_1(X80) ) )
          | hskp14 )
        & ( ~ hskp10
          | ( ~ c1_1(a2414)
            & ~ c3_1(a2414)
            & c0_1(a2414)
            & ndr1_0 ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c1_1(X2)
                | ~ c2_1(X2)
                | ~ c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c1_1(X1)
                | c0_1(X1)
                | c3_1(X1) ) )
          | hskp2 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c2_1(X64)
                | c0_1(X64)
                | c3_1(X64) ) )
          | hskp13
          | hskp1 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c3_1(X78)
                | c0_1(X78)
                | c1_1(X78) ) )
          | hskp3
          | hskp28 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c0_1(X6)
                | c3_1(X6) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | ~ c2_1(X4)
                | ~ c1_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | ~ c3_1(X5)
                | c2_1(X5) ) ) )
        & ( ( c0_1(a2407)
            & ndr1_0
            & ~ c2_1(a2407)
            & ~ c1_1(a2407) )
          | ~ hskp4 )
        & ( ~ hskp24
          | ( ~ c3_1(a2468)
            & ndr1_0
            & ~ c0_1(a2468)
            & c1_1(a2468) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c1_1(X7)
                | c0_1(X7) ) )
          | hskp7
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | ~ c0_1(X8)
                | c3_1(X8) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | ~ c2_1(X26)
                | c1_1(X26) ) )
          | hskp5
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c2_1(X27)
                | c0_1(X27) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | ~ c1_1(X23)
                | c3_1(X23) ) )
          | hskp6
          | hskp23 )
        & ( ~ hskp18
          | ( ~ c0_1(a2428)
            & ndr1_0
            & ~ c3_1(a2428)
            & ~ c2_1(a2428) ) )
        & ( hskp14
          | hskp23
          | ! [X10] :
              ( ndr1_0
             => ( ~ c0_1(X10)
                | ~ c1_1(X10)
                | ~ c3_1(X10) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | c0_1(X66)
                | ~ c3_1(X66) ) )
          | hskp6
          | hskp11 )
        & ( ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | ~ c0_1(X97)
                | c3_1(X97) ) )
          | hskp10
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c2_1(X98)
                | ~ c1_1(X98) ) ) )
        & ( hskp1
          | ! [X28] :
              ( ndr1_0
             => ( c2_1(X28)
                | c3_1(X28)
                | c0_1(X28) ) )
          | hskp14 )
        & ( hskp3
          | hskp24
          | ! [X70] :
              ( ndr1_0
             => ( ~ c1_1(X70)
                | ~ c2_1(X70)
                | ~ c0_1(X70) ) ) )
        & ( hskp6
          | ! [X102] :
              ( ndr1_0
             => ( c3_1(X102)
                | ~ c1_1(X102)
                | c2_1(X102) ) )
          | hskp1 )
        & ( hskp29
          | ! [X81] :
              ( ndr1_0
             => ( c0_1(X81)
                | c2_1(X81)
                | ~ c1_1(X81) ) )
          | hskp0 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | ~ c3_1(X99)
                | ~ c2_1(X99) ) )
          | hskp15
          | hskp24 )
        & ( hskp2
          | ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | ~ c3_1(X48)
                | c2_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c0_1(X47)
                | c3_1(X47)
                | ~ c2_1(X47) ) ) )
        & ( hskp27
          | hskp31
          | hskp25 )
        & ( ( c3_1(a2406)
            & c1_1(a2406)
            & c2_1(a2406)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c2_1(X44)
                | ~ c0_1(X44)
                | c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | c1_1(X43)
                | ~ c0_1(X43) ) )
          | hskp10 )
        & ( hskp5
          | ! [X0] :
              ( ndr1_0
             => ( ~ c0_1(X0)
                | c3_1(X0)
                | c2_1(X0) ) )
          | hskp19 )
        & ( hskp20
          | ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | ~ c2_1(X65)
                | ~ c3_1(X65) ) )
          | hskp18 )
        & ( hskp17
          | ! [X3] :
              ( ndr1_0
             => ( ~ c1_1(X3)
                | ~ c3_1(X3)
                | c0_1(X3) ) )
          | hskp21 )
        & ( hskp7
          | ! [X32] :
              ( ndr1_0
             => ( c2_1(X32)
                | ~ c1_1(X32)
                | ~ c0_1(X32) ) )
          | hskp25 )
        & ( hskp28
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | c0_1(X49)
                | ~ c3_1(X49) ) )
          | hskp9 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | c3_1(X93)
                | c2_1(X93) ) )
          | hskp19
          | hskp5 )
        & ( ! [X13] :
              ( ndr1_0
             => ( c1_1(X13)
                | c3_1(X13)
                | c0_1(X13) ) )
          | hskp2
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c0_1(X14)
                | ~ c1_1(X14) ) ) )
        & ( ~ hskp24
          | ( ~ c3_1(a2468)
            & ndr1_0
            & ~ c0_1(a2468)
            & c1_1(a2468) ) )
        & ( ~ hskp12
          | ( ~ c0_1(a2417)
            & c3_1(a2417)
            & ndr1_0
            & ~ c1_1(a2417) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | ~ c3_1(X57)
                | ~ c1_1(X57) ) )
          | hskp21
          | hskp17 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | ~ c1_1(X32)
                | ~ c2_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c1_1(X33)
                | c2_1(X33) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c2_1(X31)
                | c3_1(X31)
                | c0_1(X31) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | ~ c3_1(X55)
                | ~ c1_1(X55) ) )
          | hskp7
          | ! [X56] :
              ( ndr1_0
             => ( ~ c0_1(X56)
                | ~ c2_1(X56)
                | c3_1(X56) ) ) )
        & ( hskp6
          | hskp26
          | ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | ~ c1_1(X103)
                | c3_1(X103) ) ) )
        & ( ~ hskp2
          | ( ~ c3_1(a2404)
            & ~ c1_1(a2404)
            & ~ c2_1(a2404)
            & ndr1_0 ) )
        & ( ( ~ c1_1(a2500)
            & ndr1_0
            & ~ c3_1(a2500)
            & ~ c0_1(a2500) )
          | ~ hskp27 )
        & ( ! [X108] :
              ( ndr1_0
             => ( ~ c1_1(X108)
                | ~ c3_1(X108)
                | ~ c0_1(X108) ) )
          | hskp23
          | hskp14 )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c2_1(X28)
                | c1_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c1_1(X27)
                | ~ c3_1(X27)
                | c0_1(X27) ) )
          | hskp10 )
        & ( hskp4
          | ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | c0_1(X17)
                | ~ c3_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | c0_1(X16)
                | c1_1(X16) ) ) )
        & ( hskp11
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | ~ c1_1(X52)
                | c0_1(X52) ) )
          | hskp12 )
        & ( hskp30
          | ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | ~ c3_1(X99)
                | c2_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | c3_1(X100)
                | ~ c0_1(X100) ) ) )
        & ( hskp19
          | hskp26
          | hskp30 )
        & ( ( c0_1(a2405)
            & ~ c3_1(a2405)
            & ndr1_0
            & c2_1(a2405) )
          | ~ hskp3 )
        & ( hskp9
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | c0_1(X58)
                | ~ c1_1(X58) ) )
          | hskp1 )
        & ( hskp16
          | hskp12
          | ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | c3_1(X84)
                | ~ c2_1(X84) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | ~ c3_1(X26)
                | ~ c1_1(X26) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | ~ c3_1(X24)
                | c1_1(X24) ) ) )
        & ( hskp6
          | hskp23
          | ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | ~ c1_1(X106)
                | ~ c2_1(X106) ) ) )
        & ( ~ hskp5
          | ( ~ c2_1(a2408)
            & c3_1(a2408)
            & c0_1(a2408)
            & ndr1_0 ) )
        & ( hskp22
          | ! [X68] :
              ( ndr1_0
             => ( c2_1(X68)
                | ~ c0_1(X68)
                | c1_1(X68) ) )
          | hskp5 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | ~ c0_1(X96)
                | ~ c1_1(X96) ) )
          | hskp5
          | hskp1 )
        & ( hskp5
          | ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | c0_1(X18)
                | c1_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | c0_1(X19)
                | ~ c2_1(X19) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c2_1(X35)
                | c0_1(X35)
                | c3_1(X35) ) )
          | hskp1
          | hskp14 )
        & ( hskp2
          | hskp30
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | ~ c1_1(X94)
                | c2_1(X94) ) ) )
        & ( ~ hskp23
          | ( c3_1(a2455)
            & c2_1(a2455)
            & ~ c0_1(a2455)
            & ndr1_0 ) )
        & ( hskp2
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | c3_1(X79)
                | c1_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | ~ c1_1(X80)
                | c2_1(X80) ) ) )
        & ( ( c0_1(a2407)
            & ndr1_0
            & ~ c2_1(a2407)
            & ~ c1_1(a2407) )
          | ~ hskp4 )
        & ( hskp18
          | hskp5
          | hskp3 )
        & ( ( ndr1_0
            & c2_1(a2418)
            & c1_1(a2418)
            & ~ c0_1(a2418) )
          | ~ hskp13 )
        & ( ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | c2_1(X98)
                | ~ c0_1(X98) ) )
          | hskp25
          | hskp7 )
        & ( hskp11
          | hskp15
          | ! [X111] :
              ( ndr1_0
             => ( ~ c3_1(X111)
                | ~ c1_1(X111)
                | ~ c2_1(X111) ) ) )
        & ( ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | ~ c2_1(X104)
                | c3_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c2_1(X105)
                | ~ c1_1(X105)
                | ~ c0_1(X105) ) )
          | hskp20 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | ~ c1_1(X39)
                | c2_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | ~ c0_1(X40)
                | ~ c2_1(X40) ) )
          | hskp15 )
        & ( hskp21
          | hskp0
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c3_1(X110)
                | ~ c1_1(X110) ) ) )
        & ( ( ~ c2_1(a2435)
            & ~ c0_1(a2435)
            & c3_1(a2435)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | hskp0 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c2_1(X46)
                | ~ c3_1(X46) ) )
          | hskp12
          | ! [X47] :
              ( ndr1_0
             => ( ~ c0_1(X47)
                | ~ c3_1(X47)
                | ~ c1_1(X47) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( c3_1(X66)
                | c1_1(X66)
                | ~ c0_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | c2_1(X65)
                | ~ c0_1(X65) ) )
          | hskp10 )
        & ( hskp5
          | hskp25
          | hskp19 )
        & ( hskp13
          | hskp16
          | ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c2_1(X42)
                | ~ c1_1(X42) ) ) )
        & ( ~ hskp7
          | ( c2_1(a2411)
            & ndr1_0
            & ~ c3_1(a2411)
            & ~ c1_1(a2411) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) )
          | hskp6
          | hskp7 )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c0_1(X45)
                | c3_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c2_1(X44)
                | ~ c3_1(X44) ) )
          | hskp2 )
        & ( ~ hskp22
          | ( ndr1_0
            & ~ c1_1(a2453)
            & ~ c0_1(a2453)
            & ~ c2_1(a2453) ) )
        & ( hskp9
          | hskp28
          | ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | ~ c3_1(X63)
                | ~ c2_1(X63) ) ) )
        & ( ~ hskp17
          | ( c2_1(a2427)
            & ~ c1_1(a2427)
            & c3_1(a2427)
            & ndr1_0 ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c3_1(X64)
                | ~ c2_1(X64) ) )
          | hskp15 )
        & ( ( ndr1_0
            & c1_1(a2498)
            & c2_1(a2498)
            & c0_1(a2498) )
          | ~ hskp31 )
        & ( hskp1
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | c1_1(X6)
                | ~ c3_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c2_1(X5) ) ) )
        & ( ~ hskp16
          | ( ~ c2_1(a2425)
            & ~ c3_1(a2425)
            & ndr1_0
            & c0_1(a2425) ) )
        & ( hskp20
          | ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | ~ c3_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | c0_1(X53)
                | ~ c3_1(X53) ) ) )
        & ( hskp19
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | ~ c0_1(X51)
                | c3_1(X51) ) ) )
        & ( ~ hskp0
          | ( c3_1(a2402)
            & ndr1_0
            & ~ c1_1(a2402)
            & c0_1(a2402) ) )
        & ( ( c2_1(a2409)
            & ndr1_0
            & c0_1(a2409)
            & c3_1(a2409) )
          | ~ hskp29 )
        & ( ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | ~ c1_1(X11)
                | c2_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | ~ c3_1(X12)
                | ~ c1_1(X12) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | c2_1(X9)
                | ~ c1_1(X9) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c2_1(X7)
                | c1_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c2_1(X8)
                | c3_1(X8)
                | ~ c0_1(X8) ) ) )
        & ( hskp20
          | ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | ~ c3_1(X59)
                | ~ c1_1(X59) ) )
          | hskp7 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | c3_1(X34) ) )
          | hskp13
          | hskp1 )
        & ( ~ hskp19
          | ( c3_1(a2432)
            & ~ c0_1(a2432)
            & ndr1_0
            & c1_1(a2432) ) )
        & ( ~ hskp18
          | ( ~ c0_1(a2428)
            & ndr1_0
            & ~ c3_1(a2428)
            & ~ c2_1(a2428) ) )
        & ( ~ hskp11
          | ( c3_1(a2416)
            & ~ c2_1(a2416)
            & ~ c1_1(a2416)
            & ndr1_0 ) )
        & ( hskp7
          | hskp9
          | hskp8 )
        & ( hskp18
          | ! [X109] :
              ( ndr1_0
             => ( ~ c0_1(X109)
                | ~ c3_1(X109)
                | ~ c2_1(X109) ) )
          | hskp20 )
        & ( ( ndr1_0
            & ~ c2_1(a2410)
            & c0_1(a2410)
            & c1_1(a2410) )
          | ~ hskp6 )
        & ( ~ hskp1
          | ( ~ c2_1(a2403)
            & c1_1(a2403)
            & ndr1_0
            & ~ c3_1(a2403) ) )
        & ( hskp6
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | c1_1(X29)
                | c0_1(X29) ) )
          | hskp11 )
        & ( ~ hskp21
          | ( ndr1_0
            & ~ c1_1(a2437)
            & c2_1(a2437)
            & c0_1(a2437) ) )
        & ( hskp3
          | ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | c1_1(X77)
                | c3_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | ~ c2_1(X78)
                | ~ c0_1(X78) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( c2_1(X43)
                | ~ c1_1(X43)
                | c0_1(X43) ) )
          | hskp18
          | hskp17 )
        & ( ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | ~ c1_1(X107)
                | ~ c2_1(X107) ) )
          | hskp24
          | hskp3 )
        & ( ~ hskp25
          | ( c2_1(a2478)
            & ndr1_0
            & ~ c3_1(a2478)
            & ~ c0_1(a2478) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | c3_1(X89)
                | ~ c0_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | ~ c3_1(X90)
                | ~ c0_1(X90) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c3_1(X88)
                | c1_1(X88) ) ) )
        & ( ( ~ c0_1(a2413)
            & ndr1_0
            & c2_1(a2413)
            & ~ c1_1(a2413) )
          | ~ hskp9 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | ~ c2_1(X85)
                | ~ c0_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c2_1(X86)
                | c3_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | ~ c2_1(X87)
                | ~ c3_1(X87) ) ) )
        & ( ~ hskp15
          | ( c3_1(a2422)
            & c1_1(a2422)
            & ~ c2_1(a2422)
            & ndr1_0 ) )
        & ( ( ~ c0_1(a2412)
            & ndr1_0
            & ~ c2_1(a2412)
            & c1_1(a2412) )
          | ~ hskp8 )
        & ( hskp25
          | hskp19
          | ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | c2_1(X97)
                | ~ c1_1(X97) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c3_1(X15)
                | c1_1(X15) ) )
          | hskp3
          | hskp28 )
        & ( ~ hskp14
          | ( c1_1(a2420)
            & ndr1_0
            & c2_1(a2420)
            & ~ c3_1(a2420) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | c3_1(X82)
                | ~ c1_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | c3_1(X81)
                | ~ c2_1(X81) ) )
          | hskp14 )
        & ( ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) )
          | hskp0
          | hskp29 )
        & ( hskp27
          | hskp31
          | hskp25 )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c2_1(X61)
                | c1_1(X61) ) )
          | hskp2
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c3_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp8
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | c0_1(X23)
                | c1_1(X23) ) )
          | hskp9 )
        & ( hskp29
          | ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c2_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c0_1(X21)
                | ~ c3_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp8
          | hskp26
          | hskp11 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c1_1(X30)
                | ~ c3_1(X30)
                | c0_1(X30) ) )
          | hskp12 )
        & ( hskp21
          | hskp11
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c2_1(X91)
                | c1_1(X91) ) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( ~ c0_1(X2)
                | c1_1(X2)
                | ~ c2_1(X2) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) ) )
        & ( hskp30
          | ! [X67] :
              ( ndr1_0
             => ( c2_1(X67)
                | ~ c0_1(X67)
                | c1_1(X67) ) )
          | hskp21 )
        & ( hskp10
          | hskp16
          | ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | c1_1(X73)
                | ~ c3_1(X73) ) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( c2_1(X37)
                | c1_1(X37)
                | ~ c0_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c2_1(X36)
                | c0_1(X36)
                | ~ c1_1(X36) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | ~ c0_1(X38)
                | c2_1(X38) ) ) )
        & ( hskp10
          | ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | c3_1(X101)
                | ~ c0_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c1_1(X102)
                | ~ c2_1(X102) ) ) )
        & ( hskp15
          | hskp24
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | c1_1(X92)
                | ~ c2_1(X92) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( c1_1(X49)
                | ~ c3_1(X49)
                | c2_1(X49) ) )
          | hskp4
          | ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | c0_1(X48)
                | ~ c1_1(X48) ) ) )
        & ( hskp1
          | hskp6
          | ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | c3_1(X95)
                | ~ c1_1(X95) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | ~ c3_1(X76)
                | ~ c1_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | c3_1(X75)
                | ~ c0_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c3_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp0
          | hskp9
          | ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | ~ c2_1(X83)
                | c3_1(X83) ) ) )
        & ( ( c3_1(a2406)
            & c1_1(a2406)
            & c2_1(a2406)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ~ hskp10
          | ( ~ c1_1(a2414)
            & ~ c3_1(a2414)
            & c0_1(a2414)
            & ndr1_0 ) )
        & ( ( c3_1(a2450)
            & ndr1_0
            & c0_1(a2450)
            & c1_1(a2450) )
          | ~ hskp30 )
        & ( ~ hskp26
          | ( c0_1(a2484)
            & c1_1(a2484)
            & ndr1_0
            & ~ c3_1(a2484) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | c2_1(X69)
                | ~ c3_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c3_1(X70)
                | c1_1(X70) ) )
          | hskp1 )
        & ( hskp6
          | hskp21
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp23
          | ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | c3_1(X72)
                | ~ c1_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c2_1(X71)
                | ~ c3_1(X71)
                | c1_1(X71) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( ! [X93] :
            ( ndr1_0
           => ( ~ c0_1(X93)
              | c3_1(X93)
              | c2_1(X93) ) )
        | hskp19
        | hskp5 )
      & ( ! [X13] :
            ( ndr1_0
           => ( c1_1(X13)
              | c3_1(X13)
              | c0_1(X13) ) )
        | hskp2
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | ~ c0_1(X14)
              | ~ c1_1(X14) ) ) )
      & ( ~ hskp24
        | ( ~ c3_1(a2468)
          & ndr1_0
          & ~ c0_1(a2468)
          & c1_1(a2468) ) )
      & ( ~ hskp12
        | ( ~ c0_1(a2417)
          & c3_1(a2417)
          & ndr1_0
          & ~ c1_1(a2417) ) )
      & ( ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | ~ c3_1(X57)
              | ~ c1_1(X57) ) )
        | hskp21
        | hskp17 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | ~ c1_1(X32)
              | ~ c2_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | ~ c1_1(X33)
              | c2_1(X33) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c2_1(X31)
              | c3_1(X31)
              | c0_1(X31) ) ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( c0_1(X55)
              | ~ c3_1(X55)
              | ~ c1_1(X55) ) )
        | hskp7
        | ! [X56] :
            ( ndr1_0
           => ( ~ c0_1(X56)
              | ~ c2_1(X56)
              | c3_1(X56) ) ) )
      & ( hskp6
        | hskp26
        | ! [X103] :
            ( ndr1_0
           => ( ~ c0_1(X103)
              | ~ c1_1(X103)
              | c3_1(X103) ) ) )
      & ( ~ hskp2
        | ( ~ c3_1(a2404)
          & ~ c1_1(a2404)
          & ~ c2_1(a2404)
          & ndr1_0 ) )
      & ( ( ~ c1_1(a2500)
          & ndr1_0
          & ~ c3_1(a2500)
          & ~ c0_1(a2500) )
        | ~ hskp27 )
      & ( ! [X108] :
            ( ndr1_0
           => ( ~ c1_1(X108)
              | ~ c3_1(X108)
              | ~ c0_1(X108) ) )
        | hskp23
        | hskp14 )
      & ( ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | ~ c2_1(X28)
              | c1_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c1_1(X27)
              | ~ c3_1(X27)
              | c0_1(X27) ) )
        | hskp10 )
      & ( hskp4
        | ! [X17] :
            ( ndr1_0
           => ( ~ c1_1(X17)
              | c0_1(X17)
              | ~ c3_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | c0_1(X16)
              | c1_1(X16) ) ) )
      & ( hskp11
        | ! [X52] :
            ( ndr1_0
           => ( ~ c2_1(X52)
              | ~ c1_1(X52)
              | c0_1(X52) ) )
        | hskp12 )
      & ( hskp30
        | ! [X99] :
            ( ndr1_0
           => ( ~ c1_1(X99)
              | ~ c3_1(X99)
              | c2_1(X99) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | c3_1(X100)
              | ~ c0_1(X100) ) ) )
      & ( hskp19
        | hskp26
        | hskp30 )
      & ( ( c0_1(a2405)
          & ~ c3_1(a2405)
          & ndr1_0
          & c2_1(a2405) )
        | ~ hskp3 )
      & ( hskp9
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | c0_1(X58)
              | ~ c1_1(X58) ) )
        | hskp1 )
      & ( hskp16
        | hskp12
        | ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | c3_1(X84)
              | ~ c2_1(X84) ) ) )
      & ( ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c2_1(X26)
              | ~ c3_1(X26)
              | ~ c1_1(X26) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | ~ c3_1(X24)
              | c1_1(X24) ) ) )
      & ( hskp6
        | hskp23
        | ! [X106] :
            ( ndr1_0
           => ( c3_1(X106)
              | ~ c1_1(X106)
              | ~ c2_1(X106) ) ) )
      & ( ~ hskp5
        | ( ~ c2_1(a2408)
          & c3_1(a2408)
          & c0_1(a2408)
          & ndr1_0 ) )
      & ( hskp22
        | ! [X68] :
            ( ndr1_0
           => ( c2_1(X68)
              | ~ c0_1(X68)
              | c1_1(X68) ) )
        | hskp5 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c2_1(X96)
              | ~ c0_1(X96)
              | ~ c1_1(X96) ) )
        | hskp5
        | hskp1 )
      & ( hskp5
        | ! [X18] :
            ( ndr1_0
           => ( ~ c2_1(X18)
              | c0_1(X18)
              | c1_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | c0_1(X19)
              | ~ c2_1(X19) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( c2_1(X35)
              | c0_1(X35)
              | c3_1(X35) ) )
        | hskp1
        | hskp14 )
      & ( hskp2
        | hskp30
        | ! [X94] :
            ( ndr1_0
           => ( c3_1(X94)
              | ~ c1_1(X94)
              | c2_1(X94) ) ) )
      & ( ~ hskp23
        | ( c3_1(a2455)
          & c2_1(a2455)
          & ~ c0_1(a2455)
          & ndr1_0 ) )
      & ( hskp2
        | ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | c3_1(X79)
              | c1_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c0_1(X80)
              | ~ c1_1(X80)
              | c2_1(X80) ) ) )
      & ( ( c0_1(a2407)
          & ndr1_0
          & ~ c2_1(a2407)
          & ~ c1_1(a2407) )
        | ~ hskp4 )
      & ( hskp18
        | hskp5
        | hskp3 )
      & ( ( ndr1_0
          & c2_1(a2418)
          & c1_1(a2418)
          & ~ c0_1(a2418) )
        | ~ hskp13 )
      & ( ! [X98] :
            ( ndr1_0
           => ( ~ c1_1(X98)
              | c2_1(X98)
              | ~ c0_1(X98) ) )
        | hskp25
        | hskp7 )
      & ( hskp11
        | hskp15
        | ! [X111] :
            ( ndr1_0
           => ( ~ c3_1(X111)
              | ~ c1_1(X111)
              | ~ c2_1(X111) ) ) )
      & ( ! [X104] :
            ( ndr1_0
           => ( ~ c0_1(X104)
              | ~ c2_1(X104)
              | c3_1(X104) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c2_1(X105)
              | ~ c1_1(X105)
              | ~ c0_1(X105) ) )
        | hskp20 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | ~ c1_1(X39)
              | c2_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c1_1(X40)
              | ~ c0_1(X40)
              | ~ c2_1(X40) ) )
        | hskp15 )
      & ( hskp21
        | hskp0
        | ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | ~ c3_1(X110)
              | ~ c1_1(X110) ) ) )
      & ( ( ~ c2_1(a2435)
          & ~ c0_1(a2435)
          & c3_1(a2435)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | hskp0 )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c2_1(X46)
              | ~ c3_1(X46) ) )
        | hskp12
        | ! [X47] :
            ( ndr1_0
           => ( ~ c0_1(X47)
              | ~ c3_1(X47)
              | ~ c1_1(X47) ) ) )
      & ( ! [X66] :
            ( ndr1_0
           => ( c3_1(X66)
              | c1_1(X66)
              | ~ c0_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | c2_1(X65)
              | ~ c0_1(X65) ) )
        | hskp10 )
      & ( hskp5
        | hskp25
        | hskp19 )
      & ( hskp13
        | hskp16
        | ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c2_1(X42)
              | ~ c1_1(X42) ) ) )
      & ( ~ hskp7
        | ( c2_1(a2411)
          & ndr1_0
          & ~ c3_1(a2411)
          & ~ c1_1(a2411) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( ~ c2_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) )
        | hskp6
        | hskp7 )
      & ( ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | ~ c0_1(X45)
              | c3_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c2_1(X44)
              | ~ c3_1(X44) ) )
        | hskp2 )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ c1_1(a2453)
          & ~ c0_1(a2453)
          & ~ c2_1(a2453) ) )
      & ( hskp9
        | hskp28
        | ! [X63] :
            ( ndr1_0
           => ( c0_1(X63)
              | ~ c3_1(X63)
              | ~ c2_1(X63) ) ) )
      & ( ~ hskp17
        | ( c2_1(a2427)
          & ~ c1_1(a2427)
          & c3_1(a2427)
          & ndr1_0 ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c3_1(X64)
              | ~ c2_1(X64) ) )
        | hskp15 )
      & ( ( ndr1_0
          & c1_1(a2498)
          & c2_1(a2498)
          & c0_1(a2498) )
        | ~ hskp31 )
      & ( hskp1
        | ! [X6] :
            ( ndr1_0
           => ( ~ c2_1(X6)
              | c1_1(X6)
              | ~ c3_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | c2_1(X5) ) ) )
      & ( ~ hskp16
        | ( ~ c2_1(a2425)
          & ~ c3_1(a2425)
          & ndr1_0
          & c0_1(a2425) ) )
      & ( hskp20
        | ! [X54] :
            ( ndr1_0
           => ( ~ c1_1(X54)
              | ~ c3_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c1_1(X53)
              | c0_1(X53)
              | ~ c3_1(X53) ) ) )
      & ( hskp19
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | ~ c1_1(X50)
              | c0_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( c1_1(X51)
              | ~ c0_1(X51)
              | c3_1(X51) ) ) )
      & ( ~ hskp0
        | ( c3_1(a2402)
          & ndr1_0
          & ~ c1_1(a2402)
          & c0_1(a2402) ) )
      & ( ( c2_1(a2409)
          & ndr1_0
          & c0_1(a2409)
          & c3_1(a2409) )
        | ~ hskp29 )
      & ( ! [X10] :
            ( ndr1_0
           => ( c2_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | ~ c1_1(X11)
              | c2_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c2_1(X12)
              | ~ c3_1(X12)
              | ~ c1_1(X12) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( ~ c3_1(X9)
              | c2_1(X9)
              | ~ c1_1(X9) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c2_1(X7)
              | c1_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c2_1(X8)
              | c3_1(X8)
              | ~ c0_1(X8) ) ) )
      & ( hskp20
        | ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | ~ c3_1(X59)
              | ~ c1_1(X59) ) )
        | hskp7 )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c2_1(X34)
              | c3_1(X34) ) )
        | hskp13
        | hskp1 )
      & ( ~ hskp19
        | ( c3_1(a2432)
          & ~ c0_1(a2432)
          & ndr1_0
          & c1_1(a2432) ) )
      & ( ~ hskp18
        | ( ~ c0_1(a2428)
          & ndr1_0
          & ~ c3_1(a2428)
          & ~ c2_1(a2428) ) )
      & ( ~ hskp11
        | ( c3_1(a2416)
          & ~ c2_1(a2416)
          & ~ c1_1(a2416)
          & ndr1_0 ) )
      & ( hskp7
        | hskp9
        | hskp8 )
      & ( hskp18
        | ! [X109] :
            ( ndr1_0
           => ( ~ c0_1(X109)
              | ~ c3_1(X109)
              | ~ c2_1(X109) ) )
        | hskp20 )
      & ( ( ndr1_0
          & ~ c2_1(a2410)
          & c0_1(a2410)
          & c1_1(a2410) )
        | ~ hskp6 )
      & ( ~ hskp1
        | ( ~ c2_1(a2403)
          & c1_1(a2403)
          & ndr1_0
          & ~ c3_1(a2403) ) )
      & ( hskp6
        | ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | c1_1(X29)
              | c0_1(X29) ) )
        | hskp11 )
      & ( ~ hskp21
        | ( ndr1_0
          & ~ c1_1(a2437)
          & c2_1(a2437)
          & c0_1(a2437) ) )
      & ( hskp3
        | ! [X77] :
            ( ndr1_0
           => ( ~ c2_1(X77)
              | c1_1(X77)
              | c3_1(X77) ) )
        | ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | ~ c2_1(X78)
              | ~ c0_1(X78) ) ) )
      & ( ! [X43] :
            ( ndr1_0
           => ( c2_1(X43)
              | ~ c1_1(X43)
              | c0_1(X43) ) )
        | hskp18
        | hskp17 )
      & ( ! [X107] :
            ( ndr1_0
           => ( ~ c0_1(X107)
              | ~ c1_1(X107)
              | ~ c2_1(X107) ) )
        | hskp24
        | hskp3 )
      & ( ~ hskp25
        | ( c2_1(a2478)
          & ndr1_0
          & ~ c3_1(a2478)
          & ~ c0_1(a2478) ) )
      & ( ! [X89] :
            ( ndr1_0
           => ( c2_1(X89)
              | c3_1(X89)
              | ~ c0_1(X89) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c1_1(X90)
              | ~ c3_1(X90)
              | ~ c0_1(X90) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c2_1(X88)
              | ~ c3_1(X88)
              | c1_1(X88) ) ) )
      & ( ( ~ c0_1(a2413)
          & ndr1_0
          & c2_1(a2413)
          & ~ c1_1(a2413) )
        | ~ hskp9 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | ~ c2_1(X85)
              | ~ c0_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c1_1(X86)
              | c2_1(X86)
              | c3_1(X86) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c0_1(X87)
              | ~ c2_1(X87)
              | ~ c3_1(X87) ) ) )
      & ( ~ hskp15
        | ( c3_1(a2422)
          & c1_1(a2422)
          & ~ c2_1(a2422)
          & ndr1_0 ) )
      & ( ( ~ c0_1(a2412)
          & ndr1_0
          & ~ c2_1(a2412)
          & c1_1(a2412) )
        | ~ hskp8 )
      & ( hskp25
        | hskp19
        | ! [X97] :
            ( ndr1_0
           => ( ~ c0_1(X97)
              | c2_1(X97)
              | ~ c1_1(X97) ) ) )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c3_1(X15)
              | c1_1(X15) ) )
        | hskp3
        | hskp28 )
      & ( ~ hskp14
        | ( c1_1(a2420)
          & ndr1_0
          & c2_1(a2420)
          & ~ c3_1(a2420) ) )
      & ( ! [X82] :
            ( ndr1_0
           => ( ~ c0_1(X82)
              | c3_1(X82)
              | ~ c1_1(X82) ) )
        | ! [X81] :
            ( ndr1_0
           => ( c1_1(X81)
              | c3_1(X81)
              | ~ c2_1(X81) ) )
        | hskp14 )
      & ( ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) )
        | hskp0
        | hskp29 )
      & ( hskp27
        | hskp31
        | hskp25 )
      & ( ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c2_1(X61)
              | c1_1(X61) ) )
        | hskp2
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | ~ c3_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp8
        | ! [X23] :
            ( ndr1_0
           => ( ~ c2_1(X23)
              | c0_1(X23)
              | c1_1(X23) ) )
        | hskp9 )
      & ( hskp29
        | ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c2_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c0_1(X21)
              | ~ c3_1(X21)
              | c1_1(X21) ) ) )
      & ( hskp8
        | hskp26
        | hskp11 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c1_1(X30)
              | ~ c3_1(X30)
              | c0_1(X30) ) )
        | hskp12 )
      & ( hskp21
        | hskp11
        | ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c2_1(X91)
              | c1_1(X91) ) ) )
      & ( ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( ~ c0_1(X2)
              | c1_1(X2)
              | ~ c2_1(X2) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) ) )
      & ( hskp30
        | ! [X67] :
            ( ndr1_0
           => ( c2_1(X67)
              | ~ c0_1(X67)
              | c1_1(X67) ) )
        | hskp21 )
      & ( hskp10
        | hskp16
        | ! [X73] :
            ( ndr1_0
           => ( c2_1(X73)
              | c1_1(X73)
              | ~ c3_1(X73) ) ) )
      & ( ! [X37] :
            ( ndr1_0
           => ( c2_1(X37)
              | c1_1(X37)
              | ~ c0_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c2_1(X36)
              | c0_1(X36)
              | ~ c1_1(X36) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | ~ c0_1(X38)
              | c2_1(X38) ) ) )
      & ( hskp10
        | ! [X101] :
            ( ndr1_0
           => ( ~ c1_1(X101)
              | c3_1(X101)
              | ~ c0_1(X101) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c1_1(X102)
              | ~ c2_1(X102) ) ) )
      & ( hskp15
        | hskp24
        | ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | c1_1(X92)
              | ~ c2_1(X92) ) ) )
      & ( ! [X49] :
            ( ndr1_0
           => ( c1_1(X49)
              | ~ c3_1(X49)
              | c2_1(X49) ) )
        | hskp4
        | ! [X48] :
            ( ndr1_0
           => ( c3_1(X48)
              | c0_1(X48)
              | ~ c1_1(X48) ) ) )
      & ( hskp1
        | hskp6
        | ! [X95] :
            ( ndr1_0
           => ( c2_1(X95)
              | c3_1(X95)
              | ~ c1_1(X95) ) ) )
      & ( ! [X76] :
            ( ndr1_0
           => ( ~ c2_1(X76)
              | ~ c3_1(X76)
              | ~ c1_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c1_1(X75)
              | c3_1(X75)
              | ~ c0_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c3_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp0
        | hskp9
        | ! [X83] :
            ( ndr1_0
           => ( c1_1(X83)
              | ~ c2_1(X83)
              | c3_1(X83) ) ) )
      & ( ( c3_1(a2406)
          & c1_1(a2406)
          & c2_1(a2406)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ~ hskp10
        | ( ~ c1_1(a2414)
          & ~ c3_1(a2414)
          & c0_1(a2414)
          & ndr1_0 ) )
      & ( ( c3_1(a2450)
          & ndr1_0
          & c0_1(a2450)
          & c1_1(a2450) )
        | ~ hskp30 )
      & ( ~ hskp26
        | ( c0_1(a2484)
          & c1_1(a2484)
          & ndr1_0
          & ~ c3_1(a2484) ) )
      & ( ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | c2_1(X69)
              | ~ c3_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c2_1(X70)
              | ~ c3_1(X70)
              | c1_1(X70) ) )
        | hskp1 )
      & ( hskp6
        | hskp21
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c2_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp23
        | ! [X72] :
            ( ndr1_0
           => ( c2_1(X72)
              | c3_1(X72)
              | ~ c1_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( c2_1(X71)
              | ~ c3_1(X71)
              | c1_1(X71) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f1012,plain,
    ( ~ spl0_69
    | spl0_2 ),
    inference(avatar_split_clause,[],[f99,f216,f509]) ).

fof(f509,plain,
    ( spl0_69
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f216,plain,
    ( spl0_2
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f99,plain,
    ( ndr1_0
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1009,plain,
    ( spl0_157
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f140,f347,f1006]) ).

fof(f347,plain,
    ( spl0_33
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f140,plain,
    ( ~ hskp28
    | c3_1(a2406) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1004,plain,
    ( ~ spl0_156
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f126,f438,f1001]) ).

fof(f438,plain,
    ( spl0_53
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f126,plain,
    ( ~ hskp11
    | ~ c1_1(a2416) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f997,plain,
    ( ~ spl0_26
    | spl0_2 ),
    inference(avatar_split_clause,[],[f130,f216,f316]) ).

fof(f316,plain,
    ( spl0_26
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f130,plain,
    ( ndr1_0
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f996,plain,
    ( spl0_155
    | spl0_25
    | ~ spl0_2
    | spl0_13 ),
    inference(avatar_split_clause,[],[f31,f260,f216,f312,f994]) ).

fof(f31,plain,
    ! [X86,X85] :
      ( hskp29
      | ~ ndr1_0
      | c0_1(X85)
      | c1_1(X86)
      | ~ c3_1(X86)
      | ~ c0_1(X86)
      | ~ c2_1(X85)
      | c1_1(X85) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f986,plain,
    ( spl0_153
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f120,f457,f983]) ).

fof(f457,plain,
    ( spl0_57
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f120,plain,
    ( ~ hskp23
    | c3_1(a2455) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f980,plain,
    ( spl0_14
    | spl0_4
    | ~ spl0_2
    | spl0_113 ),
    inference(avatar_split_clause,[],[f57,f746,f216,f224,f265]) ).

fof(f265,plain,
    ( spl0_14
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f224,plain,
    ( spl0_4
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f57,plain,
    ! [X28] :
      ( c2_1(X28)
      | ~ ndr1_0
      | c3_1(X28)
      | hskp1
      | hskp14
      | c0_1(X28) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f978,plain,
    ( ~ spl0_10
    | spl0_152 ),
    inference(avatar_split_clause,[],[f86,f975,f249]) ).

fof(f249,plain,
    ( spl0_10
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f86,plain,
    ( c3_1(a2435)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f973,plain,
    ( spl0_151
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f124,f320,f970]) ).

fof(f320,plain,
    ( spl0_27
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f124,plain,
    ( ~ hskp26
    | c0_1(a2484) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f968,plain,
    ( ~ spl0_2
    | spl0_31
    | spl0_113
    | spl0_121 ),
    inference(avatar_split_clause,[],[f70,f789,f746,f338,f216]) ).

fof(f70,plain,
    ! [X6,X4,X5] :
      ( ~ c2_1(X4)
      | c0_1(X4)
      | c0_1(X6)
      | c3_1(X6)
      | ~ c3_1(X5)
      | ~ c1_1(X5)
      | ~ c1_1(X4)
      | ~ ndr1_0
      | c2_1(X6)
      | c2_1(X5) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f962,plain,
    ( spl0_149
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f138,f347,f959]) ).

fof(f138,plain,
    ( ~ hskp28
    | c2_1(a2406) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f957,plain,
    ( spl0_48
    | spl0_42
    | ~ spl0_2
    | spl0_26 ),
    inference(avatar_split_clause,[],[f37,f316,f216,f388,f416]) ).

fof(f416,plain,
    ( spl0_48
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f37,plain,
    ! [X77] :
      ( hskp19
      | ~ ndr1_0
      | c2_1(X77)
      | ~ c0_1(X77)
      | ~ c1_1(X77)
      | hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f956,plain,
    ( spl0_17
    | spl0_53
    | ~ spl0_2
    | spl0_56 ),
    inference(avatar_split_clause,[],[f38,f452,f216,f438,f278]) ).

fof(f278,plain,
    ( spl0_17
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f38,plain,
    ! [X88] :
      ( ~ c2_1(X88)
      | ~ ndr1_0
      | ~ c3_1(X88)
      | c1_1(X88)
      | hskp11
      | hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f955,plain,
    ( ~ spl0_148
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f100,f509,f952]) ).

fof(f100,plain,
    ( ~ hskp8
    | ~ c0_1(a2412) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f950,plain,
    ( ~ spl0_147
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f200,f405,f947]) ).

fof(f405,plain,
    ( spl0_46
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f200,plain,
    ( ~ hskp2
    | ~ c3_1(a2404) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f943,plain,
    ( spl0_26
    | spl0_119
    | ~ spl0_2
    | spl0_121 ),
    inference(avatar_split_clause,[],[f69,f789,f216,f777,f316]) ).

fof(f69,plain,
    ! [X56,X55] :
      ( ~ c1_1(X55)
      | ~ ndr1_0
      | c1_1(X56)
      | c0_1(X55)
      | ~ c2_1(X55)
      | hskp19
      | c3_1(X56)
      | ~ c0_1(X56) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f942,plain,
    ( ~ spl0_55
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f182,f939,f447]) ).

fof(f447,plain,
    ( spl0_55
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f182,plain,
    ( ~ c0_1(a2453)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f937,plain,
    ( spl0_145
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f166,f324,f934]) ).

fof(f324,plain,
    ( spl0_28
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f166,plain,
    ( ~ hskp30
    | c0_1(a2450) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f932,plain,
    ( ~ spl0_7
    | spl0_144 ),
    inference(avatar_split_clause,[],[f157,f929,f236]) ).

fof(f236,plain,
    ( spl0_7
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f157,plain,
    ( c1_1(a2410)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f927,plain,
    ( spl0_99
    | ~ spl0_2
    | spl0_25
    | spl0_6 ),
    inference(avatar_split_clause,[],[f10,f232,f312,f216,f668]) ).

fof(f668,plain,
    ( spl0_99
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f10,plain,
    ! [X14,X13] :
      ( ~ c1_1(X13)
      | ~ c2_1(X14)
      | ~ ndr1_0
      | c0_1(X14)
      | ~ c3_1(X13)
      | c0_1(X13)
      | hskp4
      | c1_1(X14) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f921,plain,
    ( ~ spl0_27
    | spl0_2 ),
    inference(avatar_split_clause,[],[f122,f216,f320]) ).

fof(f122,plain,
    ( ndr1_0
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f920,plain,
    ( spl0_46
    | spl0_28
    | spl0_8
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f42,f216,f240,f324,f405]) ).

fof(f42,plain,
    ! [X29] :
      ( ~ ndr1_0
      | c3_1(X29)
      | c2_1(X29)
      | ~ c1_1(X29)
      | hskp30
      | hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f919,plain,
    ( spl0_142
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f95,f532,f916]) ).

fof(f532,plain,
    ( spl0_73
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f95,plain,
    ( ~ hskp15
    | c1_1(a2422) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f913,plain,
    ( ~ spl0_46
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f199,f910,f405]) ).

fof(f199,plain,
    ( ~ c1_1(a2404)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f906,plain,
    ( ~ spl0_140
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f87,f249,f903]) ).

fof(f87,plain,
    ( ~ hskp20
    | ~ c0_1(a2435) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f895,plain,
    ( spl0_31
    | spl0_66
    | ~ spl0_2
    | spl0_35 ),
    inference(avatar_split_clause,[],[f56,f357,f216,f497,f338]) ).

fof(f56,plain,
    ! [X62,X60,X61] :
      ( c1_1(X61)
      | c2_1(X61)
      | ~ ndr1_0
      | c3_1(X62)
      | c0_1(X61)
      | ~ c0_1(X62)
      | ~ c3_1(X60)
      | ~ c1_1(X60)
      | c2_1(X62)
      | c2_1(X60) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f889,plain,
    ( spl0_20
    | spl0_48
    | spl0_26 ),
    inference(avatar_split_clause,[],[f209,f316,f416,f290]) ).

fof(f290,plain,
    ( spl0_20
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f209,plain,
    ( hskp19
    | hskp25
    | hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f888,plain,
    ( ~ spl0_30
    | spl0_137 ),
    inference(avatar_split_clause,[],[f172,f885,f333]) ).

fof(f333,plain,
    ( spl0_30
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f172,plain,
    ( c2_1(a2427)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f878,plain,
    ( spl0_39
    | ~ spl0_2
    | spl0_4
    | spl0_113 ),
    inference(avatar_split_clause,[],[f72,f746,f224,f216,f375]) ).

fof(f375,plain,
    ( spl0_39
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f72,plain,
    ! [X64] :
      ( c2_1(X64)
      | c0_1(X64)
      | hskp1
      | ~ ndr1_0
      | hskp13
      | c3_1(X64) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f877,plain,
    ( spl0_135
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f102,f228,f874]) ).

fof(f228,plain,
    ( spl0_5
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f102,plain,
    ( ~ hskp9
    | c2_1(a2413) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f867,plain,
    ( ~ spl0_14
    | spl0_133 ),
    inference(avatar_split_clause,[],[f196,f864,f265]) ).

fof(f196,plain,
    ( c1_1(a2420)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f861,plain,
    ( spl0_42
    | spl0_40
    | ~ spl0_2
    | spl0_77 ),
    inference(avatar_split_clause,[],[f60,f550,f216,f379,f388]) ).

fof(f60,plain,
    ! [X96,X94,X95] :
      ( c1_1(X94)
      | ~ ndr1_0
      | c0_1(X95)
      | ~ c1_1(X96)
      | c2_1(X96)
      | ~ c0_1(X94)
      | ~ c0_1(X96)
      | c2_1(X94)
      | ~ c1_1(X95)
      | c2_1(X95) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f860,plain,
    ( ~ spl0_2
    | spl0_10
    | spl0_15
    | spl0_21 ),
    inference(avatar_split_clause,[],[f25,f295,f270,f249,f216]) ).

fof(f295,plain,
    ( spl0_21
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f25,plain,
    ! [X65] :
      ( hskp18
      | ~ c3_1(X65)
      | ~ c2_1(X65)
      | hskp20
      | ~ c0_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f856,plain,
    ( spl0_132
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f139,f347,f853]) ).

fof(f139,plain,
    ( ~ hskp28
    | c1_1(a2406) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f851,plain,
    ( ~ spl0_131
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f82,f295,f848]) ).

fof(f82,plain,
    ( ~ hskp18
    | ~ c3_1(a2428) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f846,plain,
    ( ~ spl0_53
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f127,f843,f438]) ).

fof(f127,plain,
    ( ~ c2_1(a2416)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f835,plain,
    ( ~ spl0_2
    | spl0_35
    | spl0_25
    | spl0_16 ),
    inference(avatar_split_clause,[],[f49,f273,f312,f357,f216]) ).

fof(f49,plain,
    ! [X90,X91,X89] :
      ( ~ c2_1(X90)
      | c0_1(X89)
      | ~ c2_1(X89)
      | c1_1(X89)
      | c1_1(X90)
      | c1_1(X91)
      | c0_1(X91)
      | c2_1(X91)
      | ~ c0_1(X90)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f834,plain,
    ( spl0_33
    | spl0_5
    | spl0_24
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f20,f216,f309,f228,f347]) ).

fof(f20,plain,
    ! [X49] :
      ( ~ ndr1_0
      | ~ c3_1(X49)
      | c0_1(X49)
      | ~ c2_1(X49)
      | hskp9
      | hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f832,plain,
    ( ~ spl0_128
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f161,f416,f829]) ).

fof(f161,plain,
    ( ~ hskp25
    | ~ c0_1(a2478) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f827,plain,
    ( ~ spl0_2
    | spl0_13
    | spl0_19
    | spl0_40 ),
    inference(avatar_split_clause,[],[f75,f379,f285,f260,f216]) ).

fof(f285,plain,
    ( spl0_19
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f75,plain,
    ! [X81] :
      ( c2_1(X81)
      | hskp0
      | hskp29
      | ~ ndr1_0
      | ~ c1_1(X81)
      | c0_1(X81) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f826,plain,
    ( ~ spl0_127
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f94,f532,f823]) ).

fof(f94,plain,
    ( ~ hskp15
    | ~ c2_1(a2422) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f821,plain,
    ( ~ spl0_126
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f104,f228,f818]) ).

fof(f104,plain,
    ( ~ hskp9
    | ~ c0_1(a2413) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f814,plain,
    ( ~ spl0_61
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f91,f811,f474]) ).

fof(f474,plain,
    ( spl0_61
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f91,plain,
    ( ~ c3_1(a2405)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f808,plain,
    ( spl0_46
    | spl0_24
    | spl0_56
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f48,f216,f452,f309,f405]) ).

fof(f48,plain,
    ! [X82,X83] :
      ( ~ ndr1_0
      | c1_1(X82)
      | ~ c3_1(X83)
      | ~ c2_1(X82)
      | ~ c3_1(X82)
      | ~ c2_1(X83)
      | hskp2
      | c0_1(X83) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f807,plain,
    ( ~ spl0_124
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f193,f265,f804]) ).

fof(f193,plain,
    ( ~ hskp14
    | ~ c3_1(a2420) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f801,plain,
    ( spl0_123
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f177,f555,f798]) ).

fof(f555,plain,
    ( spl0_78
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f177,plain,
    ( ~ hskp24
    | c1_1(a2468) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f796,plain,
    ( ~ spl0_122
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f110,f285,f793]) ).

fof(f110,plain,
    ( ~ hskp0
    | ~ c1_1(a2402) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f791,plain,
    ( ~ spl0_2
    | spl0_1
    | spl0_53
    | spl0_121 ),
    inference(avatar_split_clause,[],[f50,f789,f438,f212,f216]) ).

fof(f212,plain,
    ( spl0_1
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f50,plain,
    ! [X15] :
      ( c0_1(X15)
      | hskp11
      | hskp12
      | ~ c1_1(X15)
      | ~ ndr1_0
      | ~ c2_1(X15) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f787,plain,
    ( spl0_73
    | ~ spl0_2
    | spl0_40
    | spl0_12 ),
    inference(avatar_split_clause,[],[f58,f256,f379,f216,f532]) ).

fof(f58,plain,
    ! [X36,X37] :
      ( ~ c2_1(X37)
      | ~ c1_1(X36)
      | c2_1(X36)
      | ~ c1_1(X37)
      | ~ ndr1_0
      | hskp15
      | ~ c0_1(X37)
      | c0_1(X36) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f786,plain,
    ( spl0_120
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f119,f457,f783]) ).

fof(f119,plain,
    ( ~ hskp23
    | c2_1(a2455) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f770,plain,
    ( spl0_117
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f144,f668,f767]) ).

fof(f144,plain,
    ( ~ hskp4
    | c0_1(a2407) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f763,plain,
    ( spl0_116
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f132,f316,f760]) ).

fof(f132,plain,
    ( ~ hskp19
    | c3_1(a2432) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f753,plain,
    ( ~ spl0_114
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f141,f668,f750]) ).

fof(f141,plain,
    ( ~ hskp4
    | ~ c1_1(a2407) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f744,plain,
    ( ~ spl0_2
    | spl0_44
    | spl0_99
    | spl0_112 ),
    inference(avatar_split_clause,[],[f26,f742,f668,f396,f216]) ).

fof(f26,plain,
    ! [X101,X100] :
      ( ~ c1_1(X101)
      | c0_1(X101)
      | hskp4
      | c2_1(X100)
      | ~ ndr1_0
      | ~ c3_1(X100)
      | c1_1(X100)
      | c3_1(X101) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f739,plain,
    ( ~ spl0_5
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f101,f736,f228]) ).

fof(f101,plain,
    ( ~ c1_1(a2413)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f734,plain,
    ( spl0_23
    | spl0_69
    | spl0_5 ),
    inference(avatar_split_clause,[],[f206,f228,f509,f304]) ).

fof(f304,plain,
    ( spl0_23
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f206,plain,
    ( hskp9
    | hskp8
    | hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f732,plain,
    ( ~ spl0_55
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f181,f729,f447]) ).

fof(f181,plain,
    ( ~ c2_1(a2453)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f727,plain,
    ( ~ spl0_19
    | spl0_109 ),
    inference(avatar_split_clause,[],[f112,f724,f285]) ).

fof(f112,plain,
    ( c3_1(a2402)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f722,plain,
    ( ~ spl0_2
    | spl0_61
    | spl0_16
    | spl0_63 ),
    inference(avatar_split_clause,[],[f55,f483,f273,f474,f216]) ).

fof(f55,plain,
    ! [X68,X67] :
      ( ~ c2_1(X67)
      | c1_1(X68)
      | ~ c0_1(X68)
      | hskp3
      | c1_1(X67)
      | ~ c2_1(X68)
      | ~ ndr1_0
      | c3_1(X67) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f721,plain,
    ( ~ spl0_108
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f134,f304,f718]) ).

fof(f134,plain,
    ( ~ hskp7
    | ~ c3_1(a2411) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f716,plain,
    ( ~ spl0_4
    | spl0_107 ),
    inference(avatar_split_clause,[],[f155,f713,f224]) ).

fof(f155,plain,
    ( c1_1(a2403)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f711,plain,
    ( spl0_73
    | ~ spl0_2
    | spl0_24 ),
    inference(avatar_split_clause,[],[f46,f309,f216,f532]) ).

fof(f46,plain,
    ! [X50] :
      ( ~ c3_1(X50)
      | ~ ndr1_0
      | ~ c2_1(X50)
      | c0_1(X50)
      | hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f710,plain,
    ( ~ spl0_2
    | spl0_23
    | spl0_10
    | spl0_6 ),
    inference(avatar_split_clause,[],[f52,f232,f249,f304,f216]) ).

fof(f52,plain,
    ! [X63] :
      ( ~ c1_1(X63)
      | hskp20
      | hskp7
      | ~ c3_1(X63)
      | ~ ndr1_0
      | c0_1(X63) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f709,plain,
    ( ~ spl0_106
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f133,f304,f706]) ).

fof(f133,plain,
    ( ~ hskp7
    | ~ c1_1(a2411) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f703,plain,
    ( ~ spl0_2
    | spl0_4
    | spl0_35
    | spl0_56 ),
    inference(avatar_split_clause,[],[f16,f452,f357,f224,f216]) ).

fof(f16,plain,
    ! [X51,X52] :
      ( ~ c2_1(X51)
      | c1_1(X52)
      | hskp1
      | c2_1(X52)
      | c0_1(X52)
      | c1_1(X51)
      | ~ ndr1_0
      | ~ c3_1(X51) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f702,plain,
    ( ~ spl0_105
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f162,f416,f699]) ).

fof(f162,plain,
    ( ~ hskp25
    | ~ c3_1(a2478) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f697,plain,
    ( spl0_104
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f170,f333,f694]) ).

fof(f170,plain,
    ( ~ hskp17
    | c3_1(a2427) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f687,plain,
    ( ~ spl0_102
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f178,f555,f684]) ).

fof(f178,plain,
    ( ~ hskp24
    | ~ c0_1(a2468) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f682,plain,
    ( ~ spl0_101
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f180,f555,f679]) ).

fof(f180,plain,
    ( ~ hskp24
    | ~ c3_1(a2468) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f677,plain,
    ( ~ spl0_2
    | spl0_17
    | spl0_77
    | spl0_28 ),
    inference(avatar_split_clause,[],[f62,f324,f550,f278,f216]) ).

fof(f62,plain,
    ! [X92] :
      ( hskp30
      | ~ c0_1(X92)
      | hskp21
      | ~ ndr1_0
      | c2_1(X92)
      | c1_1(X92) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f676,plain,
    ( spl0_14
    | ~ spl0_2
    | spl0_67
    | spl0_57 ),
    inference(avatar_split_clause,[],[f14,f457,f500,f216,f265]) ).

fof(f14,plain,
    ! [X10] :
      ( hskp23
      | ~ c0_1(X10)
      | ~ c3_1(X10)
      | ~ ndr1_0
      | ~ c1_1(X10)
      | hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f675,plain,
    ( ~ spl0_99
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f142,f672,f668]) ).

fof(f142,plain,
    ( ~ c2_1(a2407)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f666,plain,
    ( spl0_98
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f79,f290,f663]) ).

fof(f79,plain,
    ( ~ hskp5
    | c3_1(a2408) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f661,plain,
    ( ~ spl0_97
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f156,f224,f658]) ).

fof(f156,plain,
    ( ~ hskp1
    | ~ c2_1(a2403) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f656,plain,
    ( spl0_19
    | ~ spl0_2
    | spl0_3
    | spl0_35 ),
    inference(avatar_split_clause,[],[f22,f357,f220,f216,f285]) ).

fof(f22,plain,
    ! [X40,X39] :
      ( c0_1(X40)
      | c0_1(X39)
      | ~ ndr1_0
      | c1_1(X39)
      | c2_1(X40)
      | ~ c3_1(X39)
      | c1_1(X40)
      | hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f655,plain,
    ( ~ spl0_2
    | spl0_33
    | spl0_61
    | spl0_76 ),
    inference(avatar_split_clause,[],[f35,f546,f474,f347,f216]) ).

fof(f35,plain,
    ! [X78] :
      ( c0_1(X78)
      | hskp3
      | c1_1(X78)
      | hskp28
      | ~ ndr1_0
      | c3_1(X78) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f654,plain,
    ( ~ spl0_4
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f153,f651,f224]) ).

fof(f153,plain,
    ( ~ c3_1(a2403)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f649,plain,
    ( spl0_23
    | ~ spl0_2
    | spl0_42
    | spl0_48 ),
    inference(avatar_split_clause,[],[f64,f416,f388,f216,f304]) ).

fof(f64,plain,
    ! [X32] :
      ( hskp25
      | c2_1(X32)
      | ~ c1_1(X32)
      | ~ ndr1_0
      | hskp7
      | ~ c0_1(X32) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f648,plain,
    ( ~ spl0_95
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f98,f509,f645]) ).

fof(f98,plain,
    ( ~ hskp8
    | ~ c2_1(a2412) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f643,plain,
    ( spl0_94
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f174,f278,f640]) ).

fof(f174,plain,
    ( ~ hskp21
    | c2_1(a2437) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f637,plain,
    ( ~ spl0_48
    | spl0_93 ),
    inference(avatar_split_clause,[],[f164,f634,f416]) ).

fof(f164,plain,
    ( c2_1(a2478)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f632,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_92
    | spl0_67 ),
    inference(avatar_split_clause,[],[f43,f500,f630,f216,f212]) ).

fof(f43,plain,
    ! [X41,X42] :
      ( ~ c0_1(X42)
      | c2_1(X41)
      | ~ c3_1(X42)
      | ~ c3_1(X41)
      | ~ ndr1_0
      | hskp12
      | c0_1(X41)
      | ~ c1_1(X42) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f627,plain,
    ( ~ spl0_91
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f84,f295,f624]) ).

fof(f84,plain,
    ( ~ hskp18
    | ~ c0_1(a2428) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f622,plain,
    ( ~ spl0_13
    | spl0_90 ),
    inference(avatar_split_clause,[],[f145,f619,f260]) ).

fof(f145,plain,
    ( c3_1(a2409)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f617,plain,
    ( ~ spl0_89
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f118,f457,f614]) ).

fof(f118,plain,
    ( ~ hskp23
    | ~ c0_1(a2455) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f612,plain,
    ( ~ spl0_61
    | spl0_88 ),
    inference(avatar_split_clause,[],[f92,f609,f474]) ).

fof(f92,plain,
    ( c0_1(a2405)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f607,plain,
    ( ~ spl0_1
    | spl0_87 ),
    inference(avatar_split_clause,[],[f203,f604,f212]) ).

fof(f203,plain,
    ( c3_1(a2417)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f602,plain,
    ( ~ spl0_20
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f80,f599,f290]) ).

fof(f80,plain,
    ( ~ c2_1(a2408)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f597,plain,
    ( ~ spl0_85
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f121,f320,f594]) ).

fof(f121,plain,
    ( ~ hskp26
    | ~ c3_1(a2484) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f592,plain,
    ( spl0_7
    | spl0_17
    | spl0_24
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f24,f216,f309,f278,f236]) ).

fof(f24,plain,
    ! [X109] :
      ( ~ ndr1_0
      | ~ c3_1(X109)
      | hskp21
      | hskp6
      | ~ c2_1(X109)
      | c0_1(X109) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f590,plain,
    ( ~ spl0_84
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f88,f249,f587]) ).

fof(f88,plain,
    ( ~ hskp20
    | ~ c2_1(a2435) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f585,plain,
    ( ~ spl0_83
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f204,f212,f582]) ).

fof(f204,plain,
    ( ~ hskp12
    | ~ c0_1(a2417) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f580,plain,
    ( spl0_82
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f173,f278,f577]) ).

fof(f173,plain,
    ( ~ hskp21
    | c0_1(a2437) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f575,plain,
    ( spl0_81
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f106,f375,f572]) ).

fof(f106,plain,
    ( ~ hskp13
    | c1_1(a2418) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f570,plain,
    ( ~ spl0_20
    | spl0_80 ),
    inference(avatar_split_clause,[],[f78,f567,f290]) ).

fof(f78,plain,
    ( c0_1(a2408)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f565,plain,
    ( spl0_79
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f107,f375,f562]) ).

fof(f107,plain,
    ( ~ hskp13
    | c2_1(a2418) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f560,plain,
    ( spl0_5
    | spl0_69
    | spl0_25
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f12,f216,f312,f509,f228]) ).

fof(f12,plain,
    ! [X84] :
      ( ~ ndr1_0
      | c0_1(X84)
      | ~ c2_1(X84)
      | c1_1(X84)
      | hskp8
      | hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f559,plain,
    ( spl0_21
    | ~ spl0_2
    | spl0_30
    | spl0_40 ),
    inference(avatar_split_clause,[],[f73,f379,f333,f216,f295]) ).

fof(f73,plain,
    ! [X69] :
      ( ~ c1_1(X69)
      | hskp17
      | ~ ndr1_0
      | c2_1(X69)
      | c0_1(X69)
      | hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f558,plain,
    ( spl0_78
    | spl0_61
    | ~ spl0_2
    | spl0_12 ),
    inference(avatar_split_clause,[],[f33,f256,f216,f474,f555]) ).

fof(f33,plain,
    ! [X70] :
      ( ~ c2_1(X70)
      | ~ c0_1(X70)
      | ~ c1_1(X70)
      | ~ ndr1_0
      | hskp3
      | hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f553,plain,
    ( spl0_2
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f125,f438,f216]) ).

fof(f125,plain,
    ( ~ hskp11
    | ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f552,plain,
    ( spl0_20
    | ~ spl0_2
    | spl0_55
    | spl0_77 ),
    inference(avatar_split_clause,[],[f21,f550,f447,f216,f290]) ).

fof(f21,plain,
    ! [X24] :
      ( ~ c0_1(X24)
      | hskp22
      | c2_1(X24)
      | ~ ndr1_0
      | hskp5
      | c1_1(X24) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f548,plain,
    ( spl0_46
    | ~ spl0_2
    | spl0_76
    | spl0_12 ),
    inference(avatar_split_clause,[],[f76,f256,f546,f216,f405]) ).

fof(f76,plain,
    ! [X2,X1] :
      ( ~ c1_1(X2)
      | ~ c0_1(X2)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | c0_1(X1)
      | hskp2
      | c1_1(X1) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f544,plain,
    ( ~ spl0_14
    | spl0_75 ),
    inference(avatar_split_clause,[],[f194,f541,f265]) ).

fof(f194,plain,
    ( c2_1(a2420)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f539,plain,
    ( ~ spl0_73
    | spl0_74 ),
    inference(avatar_split_clause,[],[f96,f536,f532]) ).

fof(f96,plain,
    ( c3_1(a2422)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f530,plain,
    ( ~ spl0_26
    | spl0_72 ),
    inference(avatar_split_clause,[],[f129,f527,f316]) ).

fof(f129,plain,
    ( c1_1(a2432)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f525,plain,
    ( ~ spl0_71
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f201,f212,f522]) ).

fof(f201,plain,
    ( ~ hskp12
    | ~ c1_1(a2417) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f519,plain,
    ( spl0_46
    | spl0_42
    | ~ spl0_2
    | spl0_63 ),
    inference(avatar_split_clause,[],[f29,f483,f216,f388,f405]) ).

fof(f29,plain,
    ! [X31,X30] :
      ( c3_1(X30)
      | ~ ndr1_0
      | c2_1(X31)
      | c1_1(X30)
      | hskp2
      | ~ c2_1(X30)
      | ~ c0_1(X31)
      | ~ c1_1(X31) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f518,plain,
    ( spl0_27
    | spl0_69
    | spl0_53 ),
    inference(avatar_split_clause,[],[f207,f438,f509,f320]) ).

fof(f207,plain,
    ( hskp11
    | hskp8
    | hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f517,plain,
    ( ~ spl0_2
    | spl0_44
    | spl0_8
    | spl0_57 ),
    inference(avatar_split_clause,[],[f30,f457,f240,f396,f216]) ).

fof(f30,plain,
    ! [X111,X110] :
      ( hskp23
      | c2_1(X110)
      | c2_1(X111)
      | c1_1(X111)
      | ~ c1_1(X110)
      | ~ ndr1_0
      | c3_1(X110)
      | ~ c3_1(X111) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f516,plain,
    ( ~ spl0_69
    | spl0_70 ),
    inference(avatar_split_clause,[],[f97,f513,f509]) ).

fof(f97,plain,
    ( c1_1(a2412)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f507,plain,
    ( spl0_68
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f168,f324,f504]) ).

fof(f168,plain,
    ( ~ hskp30
    | c3_1(a2450) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f502,plain,
    ( spl0_66
    | spl0_67
    | spl0_56
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f54,f216,f452,f500,f497]) ).

fof(f54,plain,
    ! [X72,X73,X71] :
      ( ~ ndr1_0
      | c1_1(X73)
      | ~ c0_1(X72)
      | ~ c0_1(X71)
      | ~ c1_1(X72)
      | c2_1(X71)
      | ~ c3_1(X72)
      | c3_1(X71)
      | ~ c3_1(X73)
      | ~ c2_1(X73) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f495,plain,
    ( ~ spl0_26
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f131,f492,f316]) ).

fof(f131,plain,
    ( ~ c0_1(a2432)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f490,plain,
    ( ~ spl0_17
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f175,f487,f278]) ).

fof(f175,plain,
    ( ~ c1_1(a2437)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f485,plain,
    ( ~ spl0_2
    | spl0_62
    | spl0_14
    | spl0_63 ),
    inference(avatar_split_clause,[],[f67,f483,f265,f480,f216]) ).

fof(f67,plain,
    ! [X80,X79] :
      ( c1_1(X80)
      | hskp14
      | c3_1(X79)
      | ~ ndr1_0
      | ~ c1_1(X79)
      | c3_1(X80)
      | ~ c2_1(X80)
      | ~ c0_1(X79) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f477,plain,
    ( spl0_60
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f89,f474,f470]) ).

fof(f89,plain,
    ( ~ hskp3
    | c2_1(a2405) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f468,plain,
    ( ~ spl0_13
    | spl0_59 ),
    inference(avatar_split_clause,[],[f148,f465,f260]) ).

fof(f148,plain,
    ( c2_1(a2409)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f463,plain,
    ( spl0_57
    | spl0_58
    | spl0_7
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f65,f216,f236,f461,f457]) ).

fof(f65,plain,
    ! [X23] :
      ( ~ ndr1_0
      | hskp6
      | c3_1(X23)
      | ~ c1_1(X23)
      | hskp23
      | ~ c2_1(X23) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f454,plain,
    ( ~ spl0_2
    | spl0_4
    | spl0_56
    | spl0_44 ),
    inference(avatar_split_clause,[],[f41,f396,f452,f224,f216]) ).

fof(f41,plain,
    ! [X108,X107] :
      ( ~ c3_1(X107)
      | ~ c3_1(X108)
      | c1_1(X107)
      | hskp1
      | ~ c2_1(X108)
      | ~ ndr1_0
      | c1_1(X108)
      | c2_1(X107) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f450,plain,
    ( ~ spl0_54
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f183,f447,f443]) ).

fof(f183,plain,
    ( ~ hskp22
    | ~ c1_1(a2453) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f441,plain,
    ( spl0_52
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f128,f438,f434]) ).

fof(f128,plain,
    ( ~ hskp11
    | c3_1(a2416) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f432,plain,
    ( ~ spl0_51
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f105,f375,f429]) ).

fof(f105,plain,
    ( ~ hskp13
    | ~ c0_1(a2418) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f414,plain,
    ( spl0_17
    | spl0_6
    | ~ spl0_2
    | spl0_30 ),
    inference(avatar_split_clause,[],[f34,f333,f216,f232,f278]) ).

fof(f34,plain,
    ! [X3] :
      ( hskp17
      | ~ ndr1_0
      | ~ c1_1(X3)
      | ~ c3_1(X3)
      | hskp21
      | c0_1(X3) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f412,plain,
    ( ~ spl0_46
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f198,f409,f405]) ).

fof(f198,plain,
    ( ~ c2_1(a2404)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f403,plain,
    ( spl0_45
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f123,f320,f400]) ).

fof(f123,plain,
    ( ~ hskp26
    | c1_1(a2484) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f386,plain,
    ( ~ spl0_7
    | spl0_41 ),
    inference(avatar_split_clause,[],[f158,f383,f236]) ).

fof(f158,plain,
    ( c0_1(a2410)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f373,plain,
    ( ~ spl0_23
    | spl0_38 ),
    inference(avatar_split_clause,[],[f136,f370,f304]) ).

fof(f136,plain,
    ( c2_1(a2411)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f359,plain,
    ( spl0_35
    | spl0_31
    | spl0_8
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f51,f216,f240,f338,f357]) ).

fof(f51,plain,
    ! [X58,X59,X57] :
      ( ~ ndr1_0
      | c2_1(X58)
      | ~ c3_1(X59)
      | c1_1(X57)
      | c2_1(X59)
      | c3_1(X58)
      | ~ c1_1(X59)
      | c2_1(X57)
      | ~ c1_1(X58)
      | c0_1(X57) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f355,plain,
    ( spl0_34
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f165,f324,f352]) ).

fof(f165,plain,
    ( ~ hskp30
    | c1_1(a2450) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f345,plain,
    ( spl0_32
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f109,f285,f342]) ).

fof(f109,plain,
    ( ~ hskp0
    | c0_1(a2402) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f340,plain,
    ( spl0_10
    | ~ spl0_2
    | spl0_6
    | spl0_31 ),
    inference(avatar_split_clause,[],[f17,f338,f232,f216,f249]) ).

fof(f17,plain,
    ! [X54,X53] :
      ( c2_1(X53)
      | ~ c3_1(X53)
      | c0_1(X54)
      | ~ c1_1(X53)
      | ~ c3_1(X54)
      | ~ ndr1_0
      | ~ c1_1(X54)
      | hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f336,plain,
    ( ~ spl0_29
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f171,f333,f329]) ).

fof(f171,plain,
    ( ~ hskp17
    | ~ c1_1(a2427) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f327,plain,
    ( spl0_26
    | spl0_27
    | spl0_28 ),
    inference(avatar_split_clause,[],[f208,f324,f320,f316]) ).

fof(f208,plain,
    ( hskp30
    | hskp26
    | hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f314,plain,
    ( spl0_20
    | ~ spl0_2
    | spl0_24
    | spl0_25 ),
    inference(avatar_split_clause,[],[f71,f312,f309,f216,f290]) ).

fof(f71,plain,
    ! [X26,X27] :
      ( c1_1(X26)
      | ~ c2_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | c0_1(X26)
      | hskp5
      | c0_1(X27)
      | ~ c2_1(X26) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f302,plain,
    ( ~ spl0_21
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f81,f299,f295]) ).

fof(f81,plain,
    ( ~ c2_1(a2428)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f275,plain,
    ( spl0_15
    | spl0_8
    | ~ spl0_2
    | spl0_16 ),
    inference(avatar_split_clause,[],[f27,f273,f216,f240,f270]) ).

fof(f27,plain,
    ! [X76,X74,X75] :
      ( ~ c2_1(X74)
      | ~ ndr1_0
      | c2_1(X75)
      | ~ c3_1(X76)
      | c3_1(X75)
      | c1_1(X74)
      | ~ c0_1(X74)
      | ~ c2_1(X76)
      | ~ c1_1(X75)
      | ~ c0_1(X76) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f258,plain,
    ( spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f36,f216,f256,f253,f249]) ).

fof(f36,plain,
    ! [X34,X35] :
      ( ~ ndr1_0
      | ~ c2_1(X35)
      | ~ c1_1(X35)
      | ~ c0_1(X35)
      | ~ c2_1(X34)
      | hskp20
      | ~ c0_1(X34)
      | c3_1(X34) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f247,plain,
    ( ~ spl0_7
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f159,f244,f236]) ).

fof(f159,plain,
    ( ~ c2_1(a2410)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f242,plain,
    ( spl0_7
    | spl0_8
    | spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f45,f216,f224,f240,f236]) ).

fof(f45,plain,
    ! [X102] :
      ( ~ ndr1_0
      | hskp1
      | ~ c1_1(X102)
      | c3_1(X102)
      | hskp6
      | c2_1(X102) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f234,plain,
    ( spl0_4
    | ~ spl0_2
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f68,f232,f228,f216,f224]) ).

fof(f68,plain,
    ! [X18] :
      ( ~ c1_1(X18)
      | ~ c3_1(X18)
      | hskp9
      | ~ ndr1_0
      | hskp1
      | c0_1(X18) ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN488+1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n013.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 21:56:47 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.54  % (8836)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54  % (8837)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54  % (8837)Instruction limit reached!
% 0.19/0.54  % (8837)------------------------------
% 0.19/0.54  % (8837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (8837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (8837)Termination reason: Unknown
% 0.19/0.54  % (8837)Termination phase: Preprocessing 1
% 0.19/0.54  
% 0.19/0.54  % (8837)Memory used [KB]: 1151
% 0.19/0.54  % (8837)Time elapsed: 0.003 s
% 0.19/0.54  % (8837)Instructions burned: 2 (million)
% 0.19/0.54  % (8837)------------------------------
% 0.19/0.54  % (8837)------------------------------
% 0.19/0.54  % (8845)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54  % (8853)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.55  % (8836)Instruction limit reached!
% 0.19/0.55  % (8836)------------------------------
% 0.19/0.55  % (8836)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (8844)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.55  % (8852)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.55  % (8836)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (8836)Termination reason: Unknown
% 0.19/0.55  % (8836)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (8836)Memory used [KB]: 6012
% 0.19/0.55  % (8836)Time elapsed: 0.008 s
% 0.19/0.55  % (8836)Instructions burned: 7 (million)
% 0.19/0.55  % (8836)------------------------------
% 0.19/0.55  % (8836)------------------------------
% 0.19/0.58  % (8850)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.58  % (8832)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.58  % (8834)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.58  % (8851)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.58  % (8858)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.59  % (8846)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.59  % (8841)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.59  % (8855)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.59  % (8848)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.59  % (8839)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.59  % (8854)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.59  % (8831)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.59  % (8847)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.59  % (8843)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.59  % (8856)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.59  % (8857)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.60  % (8840)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.60  % (8842)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.60  % (8835)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.60  Detected maximum model sizes of [32]
% 0.19/0.60  % (8833)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.60  % (8829)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.61  % (8830)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.98/0.62  % (8849)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.98/0.62  TRYING [1]
% 1.98/0.62  TRYING [2]
% 1.98/0.62  % (8838)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.98/0.62  Detected maximum model sizes of [32]
% 1.98/0.62  TRYING [3]
% 1.98/0.62  TRYING [1]
% 1.98/0.62  Detected maximum model sizes of [32]
% 1.98/0.62  TRYING [1]
% 1.98/0.62  TRYING [2]
% 1.98/0.62  TRYING [2]
% 1.98/0.62  TRYING [3]
% 1.98/0.62  TRYING [3]
% 2.16/0.63  TRYING [4]
% 2.23/0.64  TRYING [4]
% 2.23/0.64  % (8831)Instruction limit reached!
% 2.23/0.64  % (8831)------------------------------
% 2.23/0.64  % (8831)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.64  % (8831)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.64  % (8831)Termination reason: Unknown
% 2.23/0.64  % (8831)Termination phase: Saturation
% 2.23/0.64  
% 2.23/0.64  % (8831)Memory used [KB]: 1663
% 2.23/0.64  % (8831)Time elapsed: 0.222 s
% 2.23/0.64  % (8831)Instructions burned: 39 (million)
% 2.23/0.64  % (8831)------------------------------
% 2.23/0.64  % (8831)------------------------------
% 2.23/0.65  TRYING [4]
% 2.23/0.67  % (8830)Refutation not found, incomplete strategy% (8830)------------------------------
% 2.23/0.67  % (8830)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.67  % (8832)First to succeed.
% 2.23/0.67  % (8860)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.23/0.67  % (8839)Instruction limit reached!
% 2.23/0.67  % (8839)------------------------------
% 2.23/0.67  % (8839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.67  % (8839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.67  % (8839)Termination reason: Unknown
% 2.23/0.67  % (8839)Termination phase: Saturation
% 2.23/0.67  
% 2.23/0.67  % (8839)Memory used [KB]: 7036
% 2.23/0.67  % (8839)Time elapsed: 0.248 s
% 2.23/0.67  % (8839)Instructions burned: 50 (million)
% 2.23/0.67  % (8839)------------------------------
% 2.23/0.67  % (8839)------------------------------
% 2.23/0.67  % (8846)Instruction limit reached!
% 2.23/0.67  % (8846)------------------------------
% 2.23/0.67  % (8846)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.67  % (8846)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.67  % (8846)Termination reason: Unknown
% 2.23/0.67  % (8835)Instruction limit reached!
% 2.23/0.67  % (8835)------------------------------
% 2.23/0.67  % (8835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.67  % (8835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.67  % (8835)Termination reason: Unknown
% 2.23/0.67  % (8835)Termination phase: Finite model building SAT solving
% 2.23/0.67  
% 2.23/0.67  % (8835)Memory used [KB]: 6396
% 2.23/0.67  % (8835)Time elapsed: 0.246 s
% 2.23/0.67  % (8835)Instructions burned: 52 (million)
% 2.23/0.67  % (8835)------------------------------
% 2.23/0.67  % (8835)------------------------------
% 2.23/0.67  % (8846)Termination phase: Finite model building SAT solving
% 2.23/0.67  
% 2.23/0.67  % (8846)Memory used [KB]: 6396
% 2.23/0.67  % (8846)Time elapsed: 0.187 s
% 2.23/0.67  % (8846)Instructions burned: 59 (million)
% 2.23/0.67  % (8846)------------------------------
% 2.23/0.67  % (8846)------------------------------
% 2.23/0.67  % (8830)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.67  % (8830)Termination reason: Refutation not found, incomplete strategy
% 2.23/0.67  
% 2.23/0.67  % (8830)Memory used [KB]: 6652
% 2.23/0.67  % (8830)Time elapsed: 0.224 s
% 2.23/0.67  % (8830)Instructions burned: 34 (million)
% 2.23/0.67  % (8830)------------------------------
% 2.23/0.67  % (8830)------------------------------
% 2.23/0.67  % (8834)Instruction limit reached!
% 2.23/0.67  % (8834)------------------------------
% 2.23/0.67  % (8834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.67  % (8834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.67  % (8834)Termination reason: Unknown
% 2.23/0.67  % (8834)Termination phase: Saturation
% 2.23/0.67  
% 2.23/0.67  % (8834)Memory used [KB]: 7036
% 2.23/0.67  % (8834)Time elapsed: 0.230 s
% 2.23/0.67  % (8834)Instructions burned: 49 (million)
% 2.23/0.67  % (8834)------------------------------
% 2.23/0.67  % (8834)------------------------------
% 2.23/0.69  TRYING [5]
% 2.23/0.69  % (8833)Instruction limit reached!
% 2.23/0.69  % (8833)------------------------------
% 2.23/0.69  % (8833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.69  % (8833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.69  % (8833)Termination reason: Unknown
% 2.23/0.69  % (8833)Termination phase: Saturation
% 2.23/0.69  
% 2.23/0.69  % (8833)Memory used [KB]: 6908
% 2.23/0.69  % (8833)Time elapsed: 0.262 s
% 2.23/0.69  % (8833)Instructions burned: 51 (million)
% 2.23/0.69  % (8833)------------------------------
% 2.23/0.69  % (8833)------------------------------
% 2.23/0.69  % (8832)Refutation found. Thanks to Tanya!
% 2.23/0.69  % SZS status Theorem for theBenchmark
% 2.23/0.69  % SZS output start Proof for theBenchmark
% See solution above
% 2.23/0.70  % (8832)------------------------------
% 2.23/0.70  % (8832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.70  % (8832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.70  % (8832)Termination reason: Refutation
% 2.23/0.70  
% 2.23/0.70  % (8832)Memory used [KB]: 7291
% 2.23/0.70  % (8832)Time elapsed: 0.245 s
% 2.23/0.70  % (8832)Instructions burned: 42 (million)
% 2.23/0.70  % (8832)------------------------------
% 2.23/0.70  % (8832)------------------------------
% 2.23/0.70  % (8828)Success in time 0.364 s
%------------------------------------------------------------------------------