TSTP Solution File: SYN505+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN505+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : 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 : Tue Apr 30 18:04:05 EDT 2024

% Result   : Theorem 0.22s 0.42s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :  198
% Syntax   : Number of formulae    :  737 (   1 unt;   0 def)
%            Number of atoms       : 6942 (   0 equ)
%            Maximal formula atoms :  749 (   9 avg)
%            Number of connectives : 9313 (3108   ~;4298   |;1242   &)
%                                         ( 197 <=>; 468  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  118 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  235 ( 234 usr; 231 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  919 ( 919   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4175,plain,
    $false,
    inference(avatar_sat_refutation,[],[f412,f427,f452,f481,f490,f499,f508,f535,f544,f550,f555,f565,f570,f580,f581,f586,f591,f596,f601,f606,f612,f617,f627,f632,f633,f638,f643,f653,f658,f663,f664,f669,f674,f680,f685,f690,f695,f696,f701,f706,f711,f716,f721,f722,f727,f732,f737,f742,f747,f753,f779,f795,f803,f811,f824,f832,f840,f848,f853,f882,f890,f895,f903,f908,f913,f934,f973,f983,f996,f1004,f1009,f1017,f1022,f1027,f1032,f1095,f1110,f1116,f1163,f1169,f1170,f1175,f1180,f1185,f1201,f1206,f1211,f1250,f1268,f1278,f1281,f1286,f1291,f1298,f1303,f1308,f1313,f1319,f1322,f1326,f1352,f1357,f1363,f1374,f1379,f1385,f1386,f1391,f1401,f1406,f1423,f1428,f1433,f1446,f1451,f1461,f1482,f1488,f1505,f1506,f1511,f1531,f1536,f1541,f1546,f1555,f1584,f1589,f1594,f1608,f1613,f1625,f1630,f1635,f1641,f1642,f1700,f1713,f1766,f1807,f1816,f1859,f1876,f1881,f1904,f1924,f1949,f1966,f1977,f1997,f2085,f2111,f2112,f2162,f2194,f2258,f2259,f2283,f2288,f2300,f2302,f2319,f2333,f2335,f2336,f2469,f2470,f2471,f2503,f2504,f2551,f2552,f2559,f2694,f2699,f2709,f2735,f2781,f2787,f2811,f2829,f2844,f2859,f2935,f2958,f3019,f3024,f3025,f3063,f3089,f3091,f3176,f3177,f3214,f3238,f3265,f3525,f3575,f3583,f3637,f3642,f3743,f3874,f3962,f4171,f4173,f4174]) ).

fof(f4174,plain,
    ( spl48_175
    | spl48_174
    | ~ spl48_65
    | ~ spl48_179 ),
    inference(avatar_split_clause,[],[f3861,f1324,f666,f1283,f1288]) ).

fof(f1288,plain,
    ( spl48_175
  <=> c2_1(a464) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_175])]) ).

fof(f1283,plain,
    ( spl48_174
  <=> c0_1(a464) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_174])]) ).

fof(f666,plain,
    ( spl48_65
  <=> c3_1(a464) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_65])]) ).

fof(f1324,plain,
    ( spl48_179
  <=> ! [X77] :
        ( ~ c3_1(X77)
        | c0_1(X77)
        | c2_1(X77) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_179])]) ).

fof(f3861,plain,
    ( c0_1(a464)
    | c2_1(a464)
    | ~ spl48_65
    | ~ spl48_179 ),
    inference(resolution,[],[f1325,f668]) ).

fof(f668,plain,
    ( c3_1(a464)
    | ~ spl48_65 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f1325,plain,
    ( ! [X77] :
        ( ~ c3_1(X77)
        | c0_1(X77)
        | c2_1(X77) )
    | ~ spl48_179 ),
    inference(avatar_component_clause,[],[f1324]) ).

fof(f4173,plain,
    ( ~ spl48_225
    | spl48_228
    | ~ spl48_68
    | ~ spl48_173 ),
    inference(avatar_split_clause,[],[f3855,f1276,f682,f3060,f2691]) ).

fof(f2691,plain,
    ( spl48_225
  <=> c2_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_225])]) ).

fof(f3060,plain,
    ( spl48_228
  <=> c0_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_228])]) ).

fof(f682,plain,
    ( spl48_68
  <=> c1_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_68])]) ).

fof(f1276,plain,
    ( spl48_173
  <=> ! [X67] :
        ( ~ c2_1(X67)
        | c0_1(X67)
        | ~ c1_1(X67) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_173])]) ).

fof(f3855,plain,
    ( c0_1(a488)
    | ~ c2_1(a488)
    | ~ spl48_68
    | ~ spl48_173 ),
    inference(resolution,[],[f1277,f684]) ).

fof(f684,plain,
    ( c1_1(a488)
    | ~ spl48_68 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f1277,plain,
    ( ! [X67] :
        ( ~ c1_1(X67)
        | c0_1(X67)
        | ~ c2_1(X67) )
    | ~ spl48_173 ),
    inference(avatar_component_clause,[],[f1276]) ).

fof(f4171,plain,
    ( spl48_199
    | spl48_188
    | ~ spl48_50
    | ~ spl48_137 ),
    inference(avatar_split_clause,[],[f3816,f989,f588,f1398,f1485]) ).

fof(f1485,plain,
    ( spl48_199
  <=> c2_1(a481) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_199])]) ).

fof(f1398,plain,
    ( spl48_188
  <=> c0_1(a481) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_188])]) ).

fof(f588,plain,
    ( spl48_50
  <=> c1_1(a481) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_50])]) ).

fof(f989,plain,
    ( spl48_137
  <=> ! [X88] :
        ( ~ c1_1(X88)
        | c0_1(X88)
        | c2_1(X88) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_137])]) ).

fof(f3816,plain,
    ( c0_1(a481)
    | c2_1(a481)
    | ~ spl48_50
    | ~ spl48_137 ),
    inference(resolution,[],[f990,f590]) ).

fof(f590,plain,
    ( c1_1(a481)
    | ~ spl48_50 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f990,plain,
    ( ! [X88] :
        ( ~ c1_1(X88)
        | c0_1(X88)
        | c2_1(X88) )
    | ~ spl48_137 ),
    inference(avatar_component_clause,[],[f989]) ).

fof(f3962,plain,
    ( ~ spl48_39
    | spl48_202
    | ~ spl48_130
    | ~ spl48_201 ),
    inference(avatar_split_clause,[],[f3807,f1538,f958,f1543,f532]) ).

fof(f532,plain,
    ( spl48_39
  <=> c0_1(a525) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_39])]) ).

fof(f1543,plain,
    ( spl48_202
  <=> c2_1(a525) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_202])]) ).

fof(f958,plain,
    ( spl48_130
  <=> ! [X74] :
        ( ~ c1_1(X74)
        | c2_1(X74)
        | ~ c0_1(X74) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_130])]) ).

fof(f1538,plain,
    ( spl48_201
  <=> c1_1(a525) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_201])]) ).

fof(f3807,plain,
    ( c2_1(a525)
    | ~ c0_1(a525)
    | ~ spl48_130
    | ~ spl48_201 ),
    inference(resolution,[],[f959,f1540]) ).

fof(f1540,plain,
    ( c1_1(a525)
    | ~ spl48_201 ),
    inference(avatar_component_clause,[],[f1538]) ).

fof(f959,plain,
    ( ! [X74] :
        ( ~ c1_1(X74)
        | c2_1(X74)
        | ~ c0_1(X74) )
    | ~ spl48_130 ),
    inference(avatar_component_clause,[],[f958]) ).

fof(f3874,plain,
    ( ~ spl48_222
    | ~ spl48_41
    | ~ spl48_91
    | ~ spl48_232 ),
    inference(avatar_split_clause,[],[f3769,f3639,f793,f541,f2285]) ).

fof(f2285,plain,
    ( spl48_222
  <=> c2_1(a469) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_222])]) ).

fof(f541,plain,
    ( spl48_41
  <=> c0_1(a469) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_41])]) ).

fof(f793,plain,
    ( spl48_91
  <=> ! [X18] :
        ( ~ c3_1(X18)
        | ~ c0_1(X18)
        | ~ c2_1(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_91])]) ).

fof(f3639,plain,
    ( spl48_232
  <=> c3_1(a469) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_232])]) ).

fof(f3769,plain,
    ( ~ c0_1(a469)
    | ~ c2_1(a469)
    | ~ spl48_91
    | ~ spl48_232 ),
    inference(resolution,[],[f794,f3641]) ).

fof(f3641,plain,
    ( c3_1(a469)
    | ~ spl48_232 ),
    inference(avatar_component_clause,[],[f3639]) ).

fof(f794,plain,
    ( ! [X18] :
        ( ~ c3_1(X18)
        | ~ c0_1(X18)
        | ~ c2_1(X18) )
    | ~ spl48_91 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f3743,plain,
    ( ~ spl48_50
    | ~ spl48_199
    | ~ spl48_95
    | spl48_189 ),
    inference(avatar_split_clause,[],[f3652,f1403,f809,f1485,f588]) ).

fof(f809,plain,
    ( spl48_95
  <=> ! [X21] :
        ( ~ c2_1(X21)
        | c3_1(X21)
        | ~ c1_1(X21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_95])]) ).

fof(f1403,plain,
    ( spl48_189
  <=> c3_1(a481) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_189])]) ).

fof(f3652,plain,
    ( ~ c2_1(a481)
    | ~ c1_1(a481)
    | ~ spl48_95
    | spl48_189 ),
    inference(resolution,[],[f810,f1405]) ).

fof(f1405,plain,
    ( ~ c3_1(a481)
    | spl48_189 ),
    inference(avatar_component_clause,[],[f1403]) ).

fof(f810,plain,
    ( ! [X21] :
        ( c3_1(X21)
        | ~ c2_1(X21)
        | ~ c1_1(X21) )
    | ~ spl48_95 ),
    inference(avatar_component_clause,[],[f809]) ).

fof(f3642,plain,
    ( ~ spl48_40
    | spl48_232 ),
    inference(avatar_split_clause,[],[f122,f3639,f537]) ).

fof(f537,plain,
    ( spl48_40
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_40])]) ).

fof(f122,plain,
    ( c3_1(a469)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp13
      | hskp1
      | hskp22 )
    & ( hskp23
      | hskp3
      | hskp5 )
    & ( hskp27
      | hskp8
      | hskp7 )
    & ( hskp9
      | hskp12
      | hskp11 )
    & ( hskp25
      | hskp14
      | hskp0 )
    & ( hskp10
      | hskp30
      | hskp0 )
    & ( hskp23
      | hskp2
      | hskp26 )
    & ( hskp13
      | hskp16
      | hskp26 )
    & ( hskp10
      | hskp19
      | hskp31 )
    & ( hskp3
      | hskp12
      | hskp29 )
    & ( hskp9
      | hskp15
      | hskp29 )
    & ( hskp17
      | hskp8
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp25
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp14
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp24
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c2_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp6
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp8
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp14
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp18
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp18
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c2_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c2_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c1_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c2_1(X14)
          | ~ c0_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp30
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp24
      | ! [X16] :
          ( ~ c1_1(X16)
          | ~ c0_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | ~ c1_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | ~ c0_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c1_1(X19)
          | ~ c0_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp5
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X21] :
          ( ~ c2_1(X21)
          | ~ c1_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c1_1(X22)
          | ~ c0_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp9
      | ! [X23] :
          ( ~ c1_1(X23)
          | c3_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp20
      | ! [X24] :
          ( ~ c1_1(X24)
          | c3_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp11
      | ! [X25] :
          ( ~ c1_1(X25)
          | c3_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | ~ c0_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | c3_1(X27)
          | c2_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( ~ c2_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X30] :
          ( ~ c1_1(X30)
          | c3_1(X30)
          | c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c0_1(X31)
          | c3_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp17
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X33] :
          ( ~ c2_1(X33)
          | ~ c1_1(X33)
          | ~ c0_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c3_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c0_1(X35)
          | c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp30
      | ! [X37] :
          ( ~ c2_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp20
      | ! [X38] :
          ( ~ c0_1(X38)
          | c3_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp18
      | ! [X39] :
          ( ~ c0_1(X39)
          | c3_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X40] :
          ( ~ c3_1(X40)
          | ~ c1_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c0_1(X41)
          | c3_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( ~ c1_1(X42)
          | c3_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c0_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c3_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp17
      | ! [X45] :
          ( ~ c0_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp18
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X47] :
          ( ~ c1_1(X47)
          | c3_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c3_1(X48)
          | c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c3_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X51] :
          ( ~ c0_1(X51)
          | c3_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c3_1(X52)
          | c2_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp18
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp7
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( ! [X55] :
          ( ~ c3_1(X55)
          | ~ c1_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c2_1(X56)
          | ~ c1_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c2_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( ! [X58] :
          ( ~ c1_1(X58)
          | ~ c0_1(X58)
          | c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c3_1(X59)
          | c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c2_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c2_1(X61)
          | ~ c1_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X63] :
          ( ~ c0_1(X63)
          | c2_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp30
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c1_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c0_1(X66)
          | c2_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp7
      | ! [X68] :
          ( ~ c2_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp15
      | ! [X69] :
          ( ~ c2_1(X69)
          | c3_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c1_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c2_1(X71)
          | c3_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X72] :
          ( ~ c2_1(X72)
          | ~ c0_1(X72)
          | c1_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c1_1(X73)
          | c3_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( ~ c1_1(X74)
          | ~ c0_1(X74)
          | c2_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c2_1(X75)
          | c3_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c1_1(X76)
          | c3_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp5
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X78] :
          ( ~ c3_1(X78)
          | ~ c2_1(X78)
          | ~ c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X80] :
          ( ~ c3_1(X80)
          | ~ c1_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X82] :
          ( ~ c0_1(X82)
          | c2_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c3_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X84] :
          ( ~ c0_1(X84)
          | c2_1(X84)
          | c1_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp29
      | ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X87] :
          ( ~ c1_1(X87)
          | c3_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c1_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp7
      | ! [X89] :
          ( c3_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X90] :
          ( ~ c3_1(X90)
          | ~ c1_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c3_1(X91)
          | c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X92] :
          ( ~ c1_1(X92)
          | c3_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c1_1(X93)
          | c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X95] :
          ( ~ c3_1(X95)
          | ~ c2_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X97] :
          ( ~ c1_1(X97)
          | c3_1(X97)
          | c2_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c3_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( ! [X99] :
          ( ~ c0_1(X99)
          | c3_1(X99)
          | c2_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c1_1(X100)
          | c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c3_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( ~ c0_1(X102)
          | c3_1(X102)
          | c2_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c3_1(X103)
          | ~ c2_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( ! [X105] :
          ( ~ c3_1(X105)
          | ~ c0_1(X105)
          | c1_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c3_1(X106)
          | ~ c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c3_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X108] :
          ( ~ c1_1(X108)
          | c2_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c3_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( ! [X110] :
          ( ~ c1_1(X110)
          | c3_1(X110)
          | c2_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c1_1(X111)
          | c2_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c3_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X113] :
          ( c2_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X114] :
          ( c2_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X115] :
          ( ~ c2_1(X115)
          | ~ c0_1(X115)
          | c3_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c2_1(X116)
          | c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a529)
        & c1_1(a529)
        & c0_1(a529)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a488)
        & c2_1(a488)
        & c1_1(a488)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a474)
        & c1_1(a474)
        & c0_1(a474)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a469)
        & c2_1(a469)
        & c0_1(a469)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a576)
        & ~ c2_1(a576)
        & ~ c1_1(a576)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a559)
        & c1_1(a559)
        & c0_1(a559)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a545)
        & c3_1(a545)
        & c1_1(a545)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a525)
        & c1_1(a525)
        & c0_1(a525)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a521)
        & ~ c2_1(a521)
        & ~ c0_1(a521)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a519)
        & ~ c0_1(a519)
        & c1_1(a519)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a507)
        & ~ c0_1(a507)
        & c2_1(a507)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a506)
        & c2_1(a506)
        & c1_1(a506)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a500)
        & ~ c2_1(a500)
        & c1_1(a500)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a494)
        & ~ c2_1(a494)
        & c0_1(a494)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a493)
        & c3_1(a493)
        & c2_1(a493)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a487)
        & ~ c1_1(a487)
        & c0_1(a487)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a484)
        & c2_1(a484)
        & c0_1(a484)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a483)
        & c2_1(a483)
        & c1_1(a483)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a482)
        & ~ c1_1(a482)
        & c3_1(a482)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a481)
        & ~ c0_1(a481)
        & c1_1(a481)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a479)
        & c3_1(a479)
        & c0_1(a479)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a478)
        & ~ c0_1(a478)
        & c2_1(a478)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a477)
        & c3_1(a477)
        & c2_1(a477)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a472)
        & c3_1(a472)
        & c1_1(a472)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a471)
        & c3_1(a471)
        & c0_1(a471)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a470)
        & ~ c1_1(a470)
        & ~ c0_1(a470)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a467)
        & ~ c1_1(a467)
        & c0_1(a467)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a466)
        & ~ c1_1(a466)
        & ~ c0_1(a466)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a465)
        & ~ c0_1(a465)
        & c3_1(a465)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a464)
        & ~ c0_1(a464)
        & c3_1(a464)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a463)
        & ~ c1_1(a463)
        & c2_1(a463)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a462)
        & c2_1(a462)
        & c0_1(a462)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp13
      | hskp1
      | hskp22 )
    & ( hskp23
      | hskp3
      | hskp5 )
    & ( hskp27
      | hskp8
      | hskp7 )
    & ( hskp9
      | hskp12
      | hskp11 )
    & ( hskp25
      | hskp14
      | hskp0 )
    & ( hskp10
      | hskp30
      | hskp0 )
    & ( hskp23
      | hskp2
      | hskp26 )
    & ( hskp13
      | hskp16
      | hskp26 )
    & ( hskp10
      | hskp19
      | hskp31 )
    & ( hskp3
      | hskp12
      | hskp29 )
    & ( hskp9
      | hskp15
      | hskp29 )
    & ( hskp17
      | hskp8
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp25
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp14
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp24
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c2_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp6
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp8
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp14
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp18
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp18
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c2_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c2_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c1_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c2_1(X14)
          | ~ c0_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp30
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp24
      | ! [X16] :
          ( ~ c1_1(X16)
          | ~ c0_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | ~ c1_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | ~ c0_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c1_1(X19)
          | ~ c0_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp5
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X21] :
          ( ~ c2_1(X21)
          | ~ c1_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c1_1(X22)
          | ~ c0_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp9
      | ! [X23] :
          ( ~ c1_1(X23)
          | c3_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp20
      | ! [X24] :
          ( ~ c1_1(X24)
          | c3_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp11
      | ! [X25] :
          ( ~ c1_1(X25)
          | c3_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | ~ c0_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | c3_1(X27)
          | c2_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( ~ c2_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X30] :
          ( ~ c1_1(X30)
          | c3_1(X30)
          | c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c0_1(X31)
          | c3_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp17
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X33] :
          ( ~ c2_1(X33)
          | ~ c1_1(X33)
          | ~ c0_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c3_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c0_1(X35)
          | c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp30
      | ! [X37] :
          ( ~ c2_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp20
      | ! [X38] :
          ( ~ c0_1(X38)
          | c3_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp18
      | ! [X39] :
          ( ~ c0_1(X39)
          | c3_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X40] :
          ( ~ c3_1(X40)
          | ~ c1_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c0_1(X41)
          | c3_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( ~ c1_1(X42)
          | c3_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c0_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c3_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp17
      | ! [X45] :
          ( ~ c0_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp18
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X47] :
          ( ~ c1_1(X47)
          | c3_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c3_1(X48)
          | c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c3_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X51] :
          ( ~ c0_1(X51)
          | c3_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c3_1(X52)
          | c2_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp18
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp7
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( ! [X55] :
          ( ~ c3_1(X55)
          | ~ c1_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c2_1(X56)
          | ~ c1_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c2_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( ! [X58] :
          ( ~ c1_1(X58)
          | ~ c0_1(X58)
          | c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c3_1(X59)
          | c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c2_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c2_1(X61)
          | ~ c1_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X63] :
          ( ~ c0_1(X63)
          | c2_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp30
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c1_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c0_1(X66)
          | c2_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp7
      | ! [X68] :
          ( ~ c2_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp15
      | ! [X69] :
          ( ~ c2_1(X69)
          | c3_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c1_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c2_1(X71)
          | c3_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X72] :
          ( ~ c2_1(X72)
          | ~ c0_1(X72)
          | c1_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c1_1(X73)
          | c3_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( ~ c1_1(X74)
          | ~ c0_1(X74)
          | c2_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c2_1(X75)
          | c3_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c1_1(X76)
          | c3_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp5
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X78] :
          ( ~ c3_1(X78)
          | ~ c2_1(X78)
          | ~ c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X80] :
          ( ~ c3_1(X80)
          | ~ c1_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X82] :
          ( ~ c0_1(X82)
          | c2_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c3_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X84] :
          ( ~ c0_1(X84)
          | c2_1(X84)
          | c1_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp29
      | ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X87] :
          ( ~ c1_1(X87)
          | c3_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c1_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp7
      | ! [X89] :
          ( c3_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X90] :
          ( ~ c3_1(X90)
          | ~ c1_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c3_1(X91)
          | c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X92] :
          ( ~ c1_1(X92)
          | c3_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c1_1(X93)
          | c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X95] :
          ( ~ c3_1(X95)
          | ~ c2_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X97] :
          ( ~ c1_1(X97)
          | c3_1(X97)
          | c2_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c3_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( ! [X99] :
          ( ~ c0_1(X99)
          | c3_1(X99)
          | c2_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c1_1(X100)
          | c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c3_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( ~ c0_1(X102)
          | c3_1(X102)
          | c2_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c3_1(X103)
          | ~ c2_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( ! [X105] :
          ( ~ c3_1(X105)
          | ~ c0_1(X105)
          | c1_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c3_1(X106)
          | ~ c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c3_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X108] :
          ( ~ c1_1(X108)
          | c2_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c3_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( ! [X110] :
          ( ~ c1_1(X110)
          | c3_1(X110)
          | c2_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c1_1(X111)
          | c2_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c3_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X113] :
          ( c2_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X114] :
          ( c2_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X115] :
          ( ~ c2_1(X115)
          | ~ c0_1(X115)
          | c3_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c2_1(X116)
          | c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a529)
        & c1_1(a529)
        & c0_1(a529)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a488)
        & c2_1(a488)
        & c1_1(a488)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a474)
        & c1_1(a474)
        & c0_1(a474)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a469)
        & c2_1(a469)
        & c0_1(a469)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a576)
        & ~ c2_1(a576)
        & ~ c1_1(a576)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a559)
        & c1_1(a559)
        & c0_1(a559)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a545)
        & c3_1(a545)
        & c1_1(a545)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a525)
        & c1_1(a525)
        & c0_1(a525)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a521)
        & ~ c2_1(a521)
        & ~ c0_1(a521)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a519)
        & ~ c0_1(a519)
        & c1_1(a519)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a507)
        & ~ c0_1(a507)
        & c2_1(a507)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a506)
        & c2_1(a506)
        & c1_1(a506)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a500)
        & ~ c2_1(a500)
        & c1_1(a500)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a494)
        & ~ c2_1(a494)
        & c0_1(a494)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a493)
        & c3_1(a493)
        & c2_1(a493)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a487)
        & ~ c1_1(a487)
        & c0_1(a487)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a484)
        & c2_1(a484)
        & c0_1(a484)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a483)
        & c2_1(a483)
        & c1_1(a483)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a482)
        & ~ c1_1(a482)
        & c3_1(a482)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a481)
        & ~ c0_1(a481)
        & c1_1(a481)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a479)
        & c3_1(a479)
        & c0_1(a479)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a478)
        & ~ c0_1(a478)
        & c2_1(a478)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a477)
        & c3_1(a477)
        & c2_1(a477)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a472)
        & c3_1(a472)
        & c1_1(a472)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a471)
        & c3_1(a471)
        & c0_1(a471)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a470)
        & ~ c1_1(a470)
        & ~ c0_1(a470)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a467)
        & ~ c1_1(a467)
        & c0_1(a467)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a466)
        & ~ c1_1(a466)
        & ~ c0_1(a466)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a465)
        & ~ c0_1(a465)
        & c3_1(a465)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a464)
        & ~ c0_1(a464)
        & c3_1(a464)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a463)
        & ~ c1_1(a463)
        & c2_1(a463)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a462)
        & c2_1(a462)
        & c0_1(a462)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp13
      | hskp1
      | hskp22 )
    & ( hskp23
      | hskp3
      | hskp5 )
    & ( hskp27
      | hskp8
      | hskp7 )
    & ( hskp9
      | hskp12
      | hskp11 )
    & ( hskp25
      | hskp14
      | hskp0 )
    & ( hskp10
      | hskp30
      | hskp0 )
    & ( hskp23
      | hskp2
      | hskp26 )
    & ( hskp13
      | hskp16
      | hskp26 )
    & ( hskp10
      | hskp19
      | hskp31 )
    & ( hskp3
      | hskp12
      | hskp29 )
    & ( hskp9
      | hskp15
      | hskp29 )
    & ( hskp17
      | hskp8
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp3
      | hskp25
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp25
      | hskp14
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp10
      | hskp24
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c2_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp4
      | hskp6
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | ~ c0_1(X4) ) ) )
    & ( hskp13
      | hskp8
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c1_1(X5)
            | ~ c0_1(X5) ) ) )
    & ( hskp10
      | hskp14
      | ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | ~ c1_1(X6)
            | ~ c0_1(X6) ) ) )
    & ( hskp4
      | hskp18
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c1_1(X7)
            | ~ c0_1(X7) ) ) )
    & ( hskp31
      | ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c1_1(X8)
            | ~ c0_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | ~ c1_1(X9)
            | ~ c0_1(X9) ) ) )
    & ( hskp17
      | hskp18
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c1_1(X10)
            | c3_1(X10) ) ) )
    & ( hskp7
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c2_1(X11)
            | ~ c1_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c2_1(X12)
            | ~ c0_1(X12)
            | c3_1(X12) ) ) )
    & ( hskp31
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | ~ c1_1(X13)
            | ~ c0_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c2_1(X14)
            | ~ c0_1(X14)
            | c3_1(X14) ) ) )
    & ( hskp12
      | hskp30
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | ~ c0_1(X15)
            | c3_1(X15) ) ) )
    & ( hskp8
      | hskp24
      | ! [X16] :
          ( ndr1_0
         => ( ~ c1_1(X16)
            | ~ c0_1(X16)
            | c3_1(X16) ) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c2_1(X17)
            | ~ c1_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c2_1(X18)
            | ~ c0_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c1_1(X19)
            | ~ c0_1(X19)
            | c3_1(X19) ) ) )
    & ( hskp17
      | hskp5
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c0_1(X20)
            | c2_1(X20) ) ) )
    & ( hskp29
      | ! [X21] :
          ( ndr1_0
         => ( ~ c2_1(X21)
            | ~ c1_1(X21)
            | c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c1_1(X22)
            | ~ c0_1(X22)
            | c2_1(X22) ) ) )
    & ( hskp23
      | hskp9
      | ! [X23] :
          ( ndr1_0
         => ( ~ c1_1(X23)
            | c3_1(X23)
            | c2_1(X23) ) ) )
    & ( hskp22
      | hskp20
      | ! [X24] :
          ( ndr1_0
         => ( ~ c1_1(X24)
            | c3_1(X24)
            | c2_1(X24) ) ) )
    & ( hskp9
      | hskp11
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | c3_1(X25)
            | c2_1(X25) ) ) )
    & ( hskp6
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c2_1(X26)
            | ~ c0_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | c3_1(X27)
            | c2_1(X27) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | ~ c1_1(X28)
            | ~ c0_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c0_1(X29)
            | c3_1(X29)
            | c2_1(X29) ) ) )
    & ( hskp0
      | ! [X30] :
          ( ndr1_0
         => ( ~ c1_1(X30)
            | c3_1(X30)
            | c2_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c0_1(X31)
            | c3_1(X31)
            | c2_1(X31) ) ) )
    & ( hskp21
      | hskp17
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | ~ c0_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp18
      | ! [X33] :
          ( ndr1_0
         => ( ~ c2_1(X33)
            | ~ c1_1(X33)
            | ~ c0_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | ~ c0_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp12
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c0_1(X35)
            | c2_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c2_1(X36)
            | ~ c0_1(X36)
            | c1_1(X36) ) ) )
    & ( hskp21
      | hskp30
      | ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | c3_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp21
      | hskp20
      | ! [X38] :
          ( ndr1_0
         => ( ~ c0_1(X38)
            | c3_1(X38)
            | c1_1(X38) ) ) )
    & ( hskp1
      | hskp18
      | ! [X39] :
          ( ndr1_0
         => ( ~ c0_1(X39)
            | c3_1(X39)
            | c1_1(X39) ) ) )
    & ( hskp2
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | ~ c1_1(X40)
            | ~ c0_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c0_1(X41)
            | c3_1(X41)
            | c1_1(X41) ) ) )
    & ( ! [X42] :
          ( ndr1_0
         => ( ~ c1_1(X42)
            | c3_1(X42)
            | c2_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c0_1(X43)
            | c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | c2_1(X44)
            | c1_1(X44) ) ) )
    & ( hskp9
      | hskp17
      | ! [X45] :
          ( ndr1_0
         => ( ~ c0_1(X45)
            | c2_1(X45)
            | c1_1(X45) ) ) )
    & ( hskp19
      | hskp18
      | ! [X46] :
          ( ndr1_0
         => ( ~ c0_1(X46)
            | c2_1(X46)
            | c1_1(X46) ) ) )
    & ( hskp14
      | ! [X47] :
          ( ndr1_0
         => ( ~ c1_1(X47)
            | c3_1(X47)
            | c2_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( c3_1(X48)
            | c2_1(X48)
            | c1_1(X48) ) ) )
    & ( hskp2
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c2_1(X49)
            | c1_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c3_1(X50)
            | c2_1(X50)
            | c1_1(X50) ) ) )
    & ( hskp16
      | ! [X51] :
          ( ndr1_0
         => ( ~ c0_1(X51)
            | c3_1(X51)
            | c1_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c3_1(X52)
            | c2_1(X52)
            | c1_1(X52) ) ) )
    & ( hskp6
      | hskp18
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c2_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp17
      | hskp7
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c2_1(X54)
            | c0_1(X54) ) ) )
    & ( ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c1_1(X55)
            | ~ c0_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | ~ c1_1(X56)
            | ~ c0_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c2_1(X57)
            | c0_1(X57) ) ) )
    & ( ! [X58] :
          ( ndr1_0
         => ( ~ c1_1(X58)
            | ~ c0_1(X58)
            | c3_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c3_1(X59)
            | c2_1(X59)
            | c1_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | ~ c2_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp16
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | ~ c2_1(X61)
            | ~ c1_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c1_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp5
      | ! [X63] :
          ( ndr1_0
         => ( ~ c0_1(X63)
            | c2_1(X63)
            | c1_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | ~ c1_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp1
      | hskp30
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | ~ c1_1(X65)
            | c0_1(X65) ) ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( ~ c0_1(X66)
            | c2_1(X66)
            | c1_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | ~ c1_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp16
      | hskp7
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | c3_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp1
      | hskp15
      | ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | c3_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp14
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | ~ c1_1(X70)
            | c0_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c2_1(X71)
            | c3_1(X71)
            | c0_1(X71) ) ) )
    & ( hskp13
      | ! [X72] :
          ( ndr1_0
         => ( ~ c2_1(X72)
            | ~ c0_1(X72)
            | c1_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c1_1(X73)
            | c3_1(X73)
            | c0_1(X73) ) ) )
    & ( ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | ~ c0_1(X74)
            | c2_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c2_1(X75)
            | c3_1(X75)
            | c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c1_1(X76)
            | c3_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp12
      | hskp5
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | c2_1(X77)
            | c0_1(X77) ) ) )
    & ( hskp11
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | ~ c2_1(X78)
            | ~ c1_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | c2_1(X79)
            | c0_1(X79) ) ) )
    & ( hskp10
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | ~ c1_1(X80)
            | c2_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | c2_1(X81)
            | c0_1(X81) ) ) )
    & ( hskp9
      | ! [X82] :
          ( ndr1_0
         => ( ~ c0_1(X82)
            | c2_1(X82)
            | c1_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | c2_1(X83)
            | c0_1(X83) ) ) )
    & ( hskp29
      | ! [X84] :
          ( ndr1_0
         => ( ~ c0_1(X84)
            | c2_1(X84)
            | c1_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | c2_1(X85)
            | c0_1(X85) ) ) )
    & ( hskp0
      | hskp29
      | ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | c2_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp6
      | ! [X87] :
          ( ndr1_0
         => ( ~ c1_1(X87)
            | c3_1(X87)
            | c2_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c1_1(X88)
            | c2_1(X88)
            | c0_1(X88) ) ) )
    & ( hskp8
      | hskp7
      | ! [X89] :
          ( ndr1_0
         => ( c3_1(X89)
            | c2_1(X89)
            | c0_1(X89) ) ) )
    & ( hskp6
      | ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | ~ c1_1(X90)
            | ~ c0_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( c3_1(X91)
            | c2_1(X91)
            | c0_1(X91) ) ) )
    & ( ! [X92] :
          ( ndr1_0
         => ( ~ c1_1(X92)
            | c3_1(X92)
            | c0_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c1_1(X93)
            | c2_1(X93)
            | c0_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | c2_1(X94)
            | c0_1(X94) ) ) )
    & ( hskp28
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | ~ c2_1(X95)
            | ~ c1_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | c1_1(X96)
            | c0_1(X96) ) ) )
    & ( hskp5
      | ! [X97] :
          ( ndr1_0
         => ( ~ c1_1(X97)
            | c3_1(X97)
            | c2_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | c1_1(X98)
            | c0_1(X98) ) ) )
    & ( ! [X99] :
          ( ndr1_0
         => ( ~ c0_1(X99)
            | c3_1(X99)
            | c2_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c1_1(X100)
            | c2_1(X100)
            | c0_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | c1_1(X101)
            | c0_1(X101) ) ) )
    & ( ! [X102] :
          ( ndr1_0
         => ( ~ c0_1(X102)
            | c3_1(X102)
            | c2_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | ~ c2_1(X103)
            | c1_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( ~ c2_1(X104)
            | c1_1(X104)
            | c0_1(X104) ) ) )
    & ( ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | ~ c0_1(X105)
            | c1_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c3_1(X106)
            | ~ c1_1(X106)
            | c0_1(X106) ) )
      | ! [X107] :
          ( ndr1_0
         => ( c3_1(X107)
            | c1_1(X107)
            | c0_1(X107) ) ) )
    & ( hskp5
      | ! [X108] :
          ( ndr1_0
         => ( ~ c1_1(X108)
            | c2_1(X108)
            | c0_1(X108) ) )
      | ! [X109] :
          ( ndr1_0
         => ( c3_1(X109)
            | c1_1(X109)
            | c0_1(X109) ) ) )
    & ( ! [X110] :
          ( ndr1_0
         => ( ~ c1_1(X110)
            | c3_1(X110)
            | c2_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( ~ c1_1(X111)
            | c2_1(X111)
            | c0_1(X111) ) )
      | ! [X112] :
          ( ndr1_0
         => ( c3_1(X112)
            | c1_1(X112)
            | c0_1(X112) ) ) )
    & ( hskp4
      | hskp3
      | ! [X113] :
          ( ndr1_0
         => ( c2_1(X113)
            | c1_1(X113)
            | c0_1(X113) ) ) )
    & ( hskp2
      | hskp1
      | ! [X114] :
          ( ndr1_0
         => ( c2_1(X114)
            | c1_1(X114)
            | c0_1(X114) ) ) )
    & ( hskp0
      | ! [X115] :
          ( ndr1_0
         => ( ~ c2_1(X115)
            | ~ c0_1(X115)
            | c3_1(X115) ) )
      | ! [X116] :
          ( ndr1_0
         => ( c2_1(X116)
            | c1_1(X116)
            | c0_1(X116) ) ) )
    & ( ( c3_1(a529)
        & c1_1(a529)
        & c0_1(a529)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a488)
        & c2_1(a488)
        & c1_1(a488)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a474)
        & c1_1(a474)
        & c0_1(a474)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a469)
        & c2_1(a469)
        & c0_1(a469)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a576)
        & ~ c2_1(a576)
        & ~ c1_1(a576)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a559)
        & c1_1(a559)
        & c0_1(a559)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a545)
        & c3_1(a545)
        & c1_1(a545)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a525)
        & c1_1(a525)
        & c0_1(a525)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a521)
        & ~ c2_1(a521)
        & ~ c0_1(a521)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a519)
        & ~ c0_1(a519)
        & c1_1(a519)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a507)
        & ~ c0_1(a507)
        & c2_1(a507)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a506)
        & c2_1(a506)
        & c1_1(a506)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a500)
        & ~ c2_1(a500)
        & c1_1(a500)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a494)
        & ~ c2_1(a494)
        & c0_1(a494)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a493)
        & c3_1(a493)
        & c2_1(a493)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a487)
        & ~ c1_1(a487)
        & c0_1(a487)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a484)
        & c2_1(a484)
        & c0_1(a484)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a483)
        & c2_1(a483)
        & c1_1(a483)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a482)
        & ~ c1_1(a482)
        & c3_1(a482)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a481)
        & ~ c0_1(a481)
        & c1_1(a481)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a479)
        & c3_1(a479)
        & c0_1(a479)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a478)
        & ~ c0_1(a478)
        & c2_1(a478)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a477)
        & c3_1(a477)
        & c2_1(a477)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a472)
        & c3_1(a472)
        & c1_1(a472)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a471)
        & c3_1(a471)
        & c0_1(a471)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a470)
        & ~ c1_1(a470)
        & ~ c0_1(a470)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a467)
        & ~ c1_1(a467)
        & c0_1(a467)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a466)
        & ~ c1_1(a466)
        & ~ c0_1(a466)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a465)
        & ~ c0_1(a465)
        & c3_1(a465)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a464)
        & ~ c0_1(a464)
        & c3_1(a464)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a463)
        & ~ c1_1(a463)
        & c2_1(a463)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a462)
        & c2_1(a462)
        & c0_1(a462)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp13
          | hskp1
          | hskp22 )
        & ( hskp23
          | hskp3
          | hskp5 )
        & ( hskp27
          | hskp8
          | hskp7 )
        & ( hskp9
          | hskp12
          | hskp11 )
        & ( hskp25
          | hskp14
          | hskp0 )
        & ( hskp10
          | hskp30
          | hskp0 )
        & ( hskp23
          | hskp2
          | hskp26 )
        & ( hskp13
          | hskp16
          | hskp26 )
        & ( hskp10
          | hskp19
          | hskp31 )
        & ( hskp3
          | hskp12
          | hskp29 )
        & ( hskp9
          | hskp15
          | hskp29 )
        & ( hskp17
          | hskp8
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp3
          | hskp25
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp25
          | hskp14
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp10
          | hskp24
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c2_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp4
          | hskp6
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | ~ c0_1(X4) ) ) )
        & ( hskp13
          | hskp8
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c1_1(X5)
                | ~ c0_1(X5) ) ) )
        & ( hskp10
          | hskp14
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c1_1(X6)
                | ~ c0_1(X6) ) ) )
        & ( hskp4
          | hskp18
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c1_1(X7)
                | ~ c0_1(X7) ) ) )
        & ( hskp31
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c1_1(X8)
                | ~ c0_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c1_1(X9)
                | ~ c0_1(X9) ) ) )
        & ( hskp17
          | hskp18
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c1_1(X10)
                | c3_1(X10) ) ) )
        & ( hskp7
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c2_1(X11)
                | ~ c1_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | ~ c0_1(X12)
                | c3_1(X12) ) ) )
        & ( hskp31
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c1_1(X13)
                | ~ c0_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c0_1(X14)
                | c3_1(X14) ) ) )
        & ( hskp12
          | hskp30
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | ~ c0_1(X15)
                | c3_1(X15) ) ) )
        & ( hskp8
          | hskp24
          | ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | ~ c0_1(X16)
                | c3_1(X16) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c2_1(X17)
                | ~ c1_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c2_1(X18)
                | ~ c0_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | ~ c0_1(X19)
                | c3_1(X19) ) ) )
        & ( hskp17
          | hskp5
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c0_1(X20)
                | c2_1(X20) ) ) )
        & ( hskp29
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c1_1(X21)
                | c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c1_1(X22)
                | ~ c0_1(X22)
                | c2_1(X22) ) ) )
        & ( hskp23
          | hskp9
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | c3_1(X23)
                | c2_1(X23) ) ) )
        & ( hskp22
          | hskp20
          | ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | c3_1(X24)
                | c2_1(X24) ) ) )
        & ( hskp9
          | hskp11
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c3_1(X25)
                | c2_1(X25) ) ) )
        & ( hskp6
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c2_1(X26)
                | ~ c0_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | c3_1(X27)
                | c2_1(X27) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | ~ c1_1(X28)
                | ~ c0_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | c3_1(X29)
                | c2_1(X29) ) ) )
        & ( hskp0
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c3_1(X30)
                | c2_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c3_1(X31)
                | c2_1(X31) ) ) )
        & ( hskp21
          | hskp17
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c0_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp18
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | ~ c1_1(X33)
                | ~ c0_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c0_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp12
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c0_1(X35)
                | c2_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c0_1(X36)
                | c1_1(X36) ) ) )
        & ( hskp21
          | hskp30
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | c3_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp21
          | hskp20
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | c3_1(X38)
                | c1_1(X38) ) ) )
        & ( hskp1
          | hskp18
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | c3_1(X39)
                | c1_1(X39) ) ) )
        & ( hskp2
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c1_1(X40)
                | ~ c0_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | c3_1(X41)
                | c1_1(X41) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | c3_1(X42)
                | c2_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c0_1(X43)
                | c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | c2_1(X44)
                | c1_1(X44) ) ) )
        & ( hskp9
          | hskp17
          | ! [X45] :
              ( ndr1_0
             => ( ~ c0_1(X45)
                | c2_1(X45)
                | c1_1(X45) ) ) )
        & ( hskp19
          | hskp18
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) ) )
        & ( hskp14
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | c3_1(X47)
                | c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | c2_1(X48)
                | c1_1(X48) ) ) )
        & ( hskp2
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c2_1(X49)
                | c1_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c3_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) ) )
        & ( hskp16
          | ! [X51] :
              ( ndr1_0
             => ( ~ c0_1(X51)
                | c3_1(X51)
                | c1_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | c2_1(X52)
                | c1_1(X52) ) ) )
        & ( hskp6
          | hskp18
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c2_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp17
          | hskp7
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c2_1(X54)
                | c0_1(X54) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c1_1(X55)
                | ~ c0_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c1_1(X56)
                | ~ c0_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c2_1(X57)
                | c0_1(X57) ) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c1_1(X58)
                | ~ c0_1(X58)
                | c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c3_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c2_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp16
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c2_1(X61)
                | ~ c1_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp5
          | ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | c2_1(X63)
                | c1_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp1
          | hskp30
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c1_1(X65)
                | c0_1(X65) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | c2_1(X66)
                | c1_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c1_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp16
          | hskp7
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | c3_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp1
          | hskp15
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | c3_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp14
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c1_1(X70)
                | c0_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | c3_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp13
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c0_1(X72)
                | c1_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | c3_1(X73)
                | c0_1(X73) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | ~ c0_1(X74)
                | c2_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | c3_1(X75)
                | c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | c3_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp12
          | hskp5
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c2_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp11
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c2_1(X78)
                | ~ c1_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | c2_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp10
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c1_1(X80)
                | c2_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | c2_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp9
          | ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | c2_1(X82)
                | c1_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | c2_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp29
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | c2_1(X84)
                | c1_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | c2_1(X85)
                | c0_1(X85) ) ) )
        & ( hskp0
          | hskp29
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c2_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp6
          | ! [X87] :
              ( ndr1_0
             => ( ~ c1_1(X87)
                | c3_1(X87)
                | c2_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | c2_1(X88)
                | c0_1(X88) ) ) )
        & ( hskp8
          | hskp7
          | ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | c2_1(X89)
                | c0_1(X89) ) ) )
        & ( hskp6
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c1_1(X90)
                | ~ c0_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c3_1(X91)
                | c2_1(X91)
                | c0_1(X91) ) ) )
        & ( ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | c3_1(X92)
                | c0_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | c2_1(X93)
                | c0_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | c2_1(X94)
                | c0_1(X94) ) ) )
        & ( hskp28
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c2_1(X95)
                | ~ c1_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | c1_1(X96)
                | c0_1(X96) ) ) )
        & ( hskp5
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | c3_1(X97)
                | c2_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | c1_1(X98)
                | c0_1(X98) ) ) )
        & ( ! [X99] :
              ( ndr1_0
             => ( ~ c0_1(X99)
                | c3_1(X99)
                | c2_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | c2_1(X100)
                | c0_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | c1_1(X101)
                | c0_1(X101) ) ) )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c0_1(X102)
                | c3_1(X102)
                | c2_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c2_1(X103)
                | c1_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | c1_1(X104)
                | c0_1(X104) ) ) )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c0_1(X105)
                | c1_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c1_1(X106)
                | c0_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( c3_1(X107)
                | c1_1(X107)
                | c0_1(X107) ) ) )
        & ( hskp5
          | ! [X108] :
              ( ndr1_0
             => ( ~ c1_1(X108)
                | c2_1(X108)
                | c0_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( c3_1(X109)
                | c1_1(X109)
                | c0_1(X109) ) ) )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c1_1(X110)
                | c3_1(X110)
                | c2_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | c2_1(X111)
                | c0_1(X111) ) )
          | ! [X112] :
              ( ndr1_0
             => ( c3_1(X112)
                | c1_1(X112)
                | c0_1(X112) ) ) )
        & ( hskp4
          | hskp3
          | ! [X113] :
              ( ndr1_0
             => ( c2_1(X113)
                | c1_1(X113)
                | c0_1(X113) ) ) )
        & ( hskp2
          | hskp1
          | ! [X114] :
              ( ndr1_0
             => ( c2_1(X114)
                | c1_1(X114)
                | c0_1(X114) ) ) )
        & ( hskp0
          | ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | ~ c0_1(X115)
                | c3_1(X115) ) )
          | ! [X116] :
              ( ndr1_0
             => ( c2_1(X116)
                | c1_1(X116)
                | c0_1(X116) ) ) )
        & ( ( c3_1(a529)
            & c1_1(a529)
            & c0_1(a529)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a488)
            & c2_1(a488)
            & c1_1(a488)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a474)
            & c1_1(a474)
            & c0_1(a474)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a469)
            & c2_1(a469)
            & c0_1(a469)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a576)
            & ~ c2_1(a576)
            & ~ c1_1(a576)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a559)
            & c1_1(a559)
            & c0_1(a559)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c0_1(a545)
            & c3_1(a545)
            & c1_1(a545)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a525)
            & c1_1(a525)
            & c0_1(a525)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a521)
            & ~ c2_1(a521)
            & ~ c0_1(a521)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a519)
            & ~ c0_1(a519)
            & c1_1(a519)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a507)
            & ~ c0_1(a507)
            & c2_1(a507)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a506)
            & c2_1(a506)
            & c1_1(a506)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a500)
            & ~ c2_1(a500)
            & c1_1(a500)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a494)
            & ~ c2_1(a494)
            & c0_1(a494)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c0_1(a493)
            & c3_1(a493)
            & c2_1(a493)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a487)
            & ~ c1_1(a487)
            & c0_1(a487)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a484)
            & c2_1(a484)
            & c0_1(a484)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c0_1(a483)
            & c2_1(a483)
            & c1_1(a483)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a482)
            & ~ c1_1(a482)
            & c3_1(a482)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a481)
            & ~ c0_1(a481)
            & c1_1(a481)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a479)
            & c3_1(a479)
            & c0_1(a479)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a478)
            & ~ c0_1(a478)
            & c2_1(a478)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a477)
            & c3_1(a477)
            & c2_1(a477)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a472)
            & c3_1(a472)
            & c1_1(a472)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a471)
            & c3_1(a471)
            & c0_1(a471)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a470)
            & ~ c1_1(a470)
            & ~ c0_1(a470)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a467)
            & ~ c1_1(a467)
            & c0_1(a467)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a466)
            & ~ c1_1(a466)
            & ~ c0_1(a466)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a465)
            & ~ c0_1(a465)
            & c3_1(a465)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a464)
            & ~ c0_1(a464)
            & c3_1(a464)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a463)
            & ~ c1_1(a463)
            & c2_1(a463)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a462)
            & c2_1(a462)
            & c0_1(a462)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp13
          | hskp1
          | hskp22 )
        & ( hskp23
          | hskp3
          | hskp5 )
        & ( hskp27
          | hskp8
          | hskp7 )
        & ( hskp9
          | hskp12
          | hskp11 )
        & ( hskp25
          | hskp14
          | hskp0 )
        & ( hskp10
          | hskp30
          | hskp0 )
        & ( hskp23
          | hskp2
          | hskp26 )
        & ( hskp13
          | hskp16
          | hskp26 )
        & ( hskp10
          | hskp19
          | hskp31 )
        & ( hskp3
          | hskp12
          | hskp29 )
        & ( hskp9
          | hskp15
          | hskp29 )
        & ( hskp17
          | hskp8
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c2_1(X116)
                | ~ c1_1(X116) ) ) )
        & ( hskp3
          | hskp25
          | ! [X115] :
              ( ndr1_0
             => ( ~ c3_1(X115)
                | ~ c2_1(X115)
                | ~ c0_1(X115) ) ) )
        & ( hskp25
          | hskp14
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c2_1(X114)
                | ~ c0_1(X114) ) ) )
        & ( hskp10
          | hskp24
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c2_1(X113)
                | ~ c0_1(X113) ) ) )
        & ( hskp4
          | hskp6
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c1_1(X112)
                | ~ c0_1(X112) ) ) )
        & ( hskp13
          | hskp8
          | ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | ~ c1_1(X111)
                | ~ c0_1(X111) ) ) )
        & ( hskp10
          | hskp14
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c1_1(X110)
                | ~ c0_1(X110) ) ) )
        & ( hskp4
          | hskp18
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c1_1(X109)
                | ~ c0_1(X109) ) ) )
        & ( hskp31
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c1_1(X108)
                | ~ c0_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | ~ c1_1(X107)
                | ~ c0_1(X107) ) ) )
        & ( hskp17
          | hskp18
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | ~ c1_1(X106)
                | c3_1(X106) ) ) )
        & ( hskp7
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c2_1(X105)
                | ~ c1_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | ~ c0_1(X104)
                | c3_1(X104) ) ) )
        & ( hskp31
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c1_1(X103)
                | ~ c0_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | ~ c0_1(X102)
                | c3_1(X102) ) ) )
        & ( hskp12
          | hskp30
          | ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | ~ c0_1(X101)
                | c3_1(X101) ) ) )
        & ( hskp8
          | hskp24
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | ~ c0_1(X100)
                | c3_1(X100) ) ) )
        & ( ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | ~ c1_1(X99) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c2_1(X98)
                | ~ c0_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | ~ c0_1(X97)
                | c3_1(X97) ) ) )
        & ( hskp17
          | hskp5
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c2_1(X96) ) ) )
        & ( hskp29
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c1_1(X95)
                | c3_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | ~ c0_1(X94)
                | c2_1(X94) ) ) )
        & ( hskp23
          | hskp9
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | c3_1(X93)
                | c2_1(X93) ) ) )
        & ( hskp22
          | hskp20
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | c3_1(X92)
                | c2_1(X92) ) ) )
        & ( hskp9
          | hskp11
          | ! [X91] :
              ( ndr1_0
             => ( ~ c1_1(X91)
                | c3_1(X91)
                | c2_1(X91) ) ) )
        & ( hskp6
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c2_1(X90)
                | ~ c0_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c3_1(X89)
                | c2_1(X89) ) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c1_1(X88)
                | ~ c0_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | c3_1(X87)
                | c2_1(X87) ) ) )
        & ( hskp0
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c3_1(X86)
                | c2_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c3_1(X85)
                | c2_1(X85) ) ) )
        & ( hskp21
          | hskp17
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c0_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp18
          | ! [X83] :
              ( ndr1_0
             => ( ~ c2_1(X83)
                | ~ c1_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c0_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp12
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c0_1(X81)
                | c2_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | ~ c0_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp21
          | hskp30
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | c3_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp21
          | hskp20
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c3_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp1
          | hskp18
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c3_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp2
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c1_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | c3_1(X75)
                | c1_1(X75) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | c3_1(X74)
                | c2_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c0_1(X73)
                | c1_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp9
          | hskp17
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c2_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp19
          | hskp18
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp14
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | c3_1(X69)
                | c2_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp2
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c2_1(X67)
                | c1_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c3_1(X66)
                | c2_1(X66)
                | c1_1(X66) ) ) )
        & ( hskp16
          | ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | c3_1(X65)
                | c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c3_1(X64)
                | c2_1(X64)
                | c1_1(X64) ) ) )
        & ( hskp6
          | hskp18
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp17
          | hskp7
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | c0_1(X62) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | ~ c0_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | ~ c0_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c2_1(X59)
                | c0_1(X59) ) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c1_1(X58)
                | ~ c0_1(X58)
                | c3_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c3_1(X57)
                | c2_1(X57)
                | c1_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c2_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp16
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | ~ c1_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp5
          | ! [X53] :
              ( ndr1_0
             => ( ~ c0_1(X53)
                | c2_1(X53)
                | c1_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c1_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp1
          | hskp30
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c1_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp16
          | hskp7
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp1
          | hskp15
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | c3_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp14
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c1_1(X46)
                | c0_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | c3_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp13
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | ~ c0_1(X44)
                | c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c3_1(X43)
                | c0_1(X43) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | ~ c0_1(X42)
                | c2_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | c3_1(X41)
                | c1_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | c3_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp12
          | hskp5
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp11
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c2_1(X38)
                | ~ c1_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp10
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c1_1(X36)
                | c2_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp9
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c2_1(X34)
                | c1_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp29
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | c2_1(X32)
                | c1_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp0
          | hskp29
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp6
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c3_1(X29)
                | c2_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp8
          | hskp7
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp6
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c1_1(X26)
                | ~ c0_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | c3_1(X24)
                | c0_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | c2_1(X23)
                | c0_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c3_1(X22)
                | c2_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp28
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c2_1(X21)
                | ~ c1_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp5
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c3_1(X19)
                | c2_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c0_1(X17)
                | c3_1(X17)
                | c2_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | c2_1(X16)
                | c0_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | c3_1(X14)
                | c2_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c2_1(X13)
                | c1_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c0_1(X11)
                | c1_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c1_1(X10)
                | c0_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( hskp5
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | c2_1(X8)
                | c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( ~ c1_1(X6)
                | c3_1(X6)
                | c2_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | c2_1(X5)
                | c0_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp4
          | hskp3
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( hskp2
          | hskp1
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | ~ c0_1(X1)
                | c3_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a529)
            & c1_1(a529)
            & c0_1(a529)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a488)
            & c2_1(a488)
            & c1_1(a488)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a474)
            & c1_1(a474)
            & c0_1(a474)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a469)
            & c2_1(a469)
            & c0_1(a469)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a576)
            & ~ c2_1(a576)
            & ~ c1_1(a576)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a559)
            & c1_1(a559)
            & c0_1(a559)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c0_1(a545)
            & c3_1(a545)
            & c1_1(a545)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a525)
            & c1_1(a525)
            & c0_1(a525)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a521)
            & ~ c2_1(a521)
            & ~ c0_1(a521)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a519)
            & ~ c0_1(a519)
            & c1_1(a519)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a507)
            & ~ c0_1(a507)
            & c2_1(a507)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a506)
            & c2_1(a506)
            & c1_1(a506)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a500)
            & ~ c2_1(a500)
            & c1_1(a500)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a494)
            & ~ c2_1(a494)
            & c0_1(a494)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c0_1(a493)
            & c3_1(a493)
            & c2_1(a493)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a487)
            & ~ c1_1(a487)
            & c0_1(a487)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a484)
            & c2_1(a484)
            & c0_1(a484)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c0_1(a483)
            & c2_1(a483)
            & c1_1(a483)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a482)
            & ~ c1_1(a482)
            & c3_1(a482)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a481)
            & ~ c0_1(a481)
            & c1_1(a481)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a479)
            & c3_1(a479)
            & c0_1(a479)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a478)
            & ~ c0_1(a478)
            & c2_1(a478)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a477)
            & c3_1(a477)
            & c2_1(a477)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a472)
            & c3_1(a472)
            & c1_1(a472)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a471)
            & c3_1(a471)
            & c0_1(a471)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a470)
            & ~ c1_1(a470)
            & ~ c0_1(a470)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a467)
            & ~ c1_1(a467)
            & c0_1(a467)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a466)
            & ~ c1_1(a466)
            & ~ c0_1(a466)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a465)
            & ~ c0_1(a465)
            & c3_1(a465)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a464)
            & ~ c0_1(a464)
            & c3_1(a464)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a463)
            & ~ c1_1(a463)
            & c2_1(a463)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a462)
            & c2_1(a462)
            & c0_1(a462)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp13
        | hskp1
        | hskp22 )
      & ( hskp23
        | hskp3
        | hskp5 )
      & ( hskp27
        | hskp8
        | hskp7 )
      & ( hskp9
        | hskp12
        | hskp11 )
      & ( hskp25
        | hskp14
        | hskp0 )
      & ( hskp10
        | hskp30
        | hskp0 )
      & ( hskp23
        | hskp2
        | hskp26 )
      & ( hskp13
        | hskp16
        | hskp26 )
      & ( hskp10
        | hskp19
        | hskp31 )
      & ( hskp3
        | hskp12
        | hskp29 )
      & ( hskp9
        | hskp15
        | hskp29 )
      & ( hskp17
        | hskp8
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c2_1(X116)
              | ~ c1_1(X116) ) ) )
      & ( hskp3
        | hskp25
        | ! [X115] :
            ( ndr1_0
           => ( ~ c3_1(X115)
              | ~ c2_1(X115)
              | ~ c0_1(X115) ) ) )
      & ( hskp25
        | hskp14
        | ! [X114] :
            ( ndr1_0
           => ( ~ c3_1(X114)
              | ~ c2_1(X114)
              | ~ c0_1(X114) ) ) )
      & ( hskp10
        | hskp24
        | ! [X113] :
            ( ndr1_0
           => ( ~ c3_1(X113)
              | ~ c2_1(X113)
              | ~ c0_1(X113) ) ) )
      & ( hskp4
        | hskp6
        | ! [X112] :
            ( ndr1_0
           => ( ~ c2_1(X112)
              | ~ c1_1(X112)
              | ~ c0_1(X112) ) ) )
      & ( hskp13
        | hskp8
        | ! [X111] :
            ( ndr1_0
           => ( ~ c2_1(X111)
              | ~ c1_1(X111)
              | ~ c0_1(X111) ) ) )
      & ( hskp10
        | hskp14
        | ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | ~ c1_1(X110)
              | ~ c0_1(X110) ) ) )
      & ( hskp4
        | hskp18
        | ! [X109] :
            ( ndr1_0
           => ( ~ c2_1(X109)
              | ~ c1_1(X109)
              | ~ c0_1(X109) ) ) )
      & ( hskp31
        | ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c1_1(X108)
              | ~ c0_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c2_1(X107)
              | ~ c1_1(X107)
              | ~ c0_1(X107) ) ) )
      & ( hskp17
        | hskp18
        | ! [X106] :
            ( ndr1_0
           => ( ~ c2_1(X106)
              | ~ c1_1(X106)
              | c3_1(X106) ) ) )
      & ( hskp7
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c2_1(X105)
              | ~ c1_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c2_1(X104)
              | ~ c0_1(X104)
              | c3_1(X104) ) ) )
      & ( hskp31
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c1_1(X103)
              | ~ c0_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c2_1(X102)
              | ~ c0_1(X102)
              | c3_1(X102) ) ) )
      & ( hskp12
        | hskp30
        | ! [X101] :
            ( ndr1_0
           => ( ~ c1_1(X101)
              | ~ c0_1(X101)
              | c3_1(X101) ) ) )
      & ( hskp8
        | hskp24
        | ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | ~ c0_1(X100)
              | c3_1(X100) ) ) )
      & ( ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c2_1(X99)
              | ~ c1_1(X99) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c2_1(X98)
              | ~ c0_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c1_1(X97)
              | ~ c0_1(X97)
              | c3_1(X97) ) ) )
      & ( hskp17
        | hskp5
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c0_1(X96)
              | c2_1(X96) ) ) )
      & ( hskp29
        | ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c1_1(X95)
              | c3_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c1_1(X94)
              | ~ c0_1(X94)
              | c2_1(X94) ) ) )
      & ( hskp23
        | hskp9
        | ! [X93] :
            ( ndr1_0
           => ( ~ c1_1(X93)
              | c3_1(X93)
              | c2_1(X93) ) ) )
      & ( hskp22
        | hskp20
        | ! [X92] :
            ( ndr1_0
           => ( ~ c1_1(X92)
              | c3_1(X92)
              | c2_1(X92) ) ) )
      & ( hskp9
        | hskp11
        | ! [X91] :
            ( ndr1_0
           => ( ~ c1_1(X91)
              | c3_1(X91)
              | c2_1(X91) ) ) )
      & ( hskp6
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c2_1(X90)
              | ~ c0_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | c3_1(X89)
              | c2_1(X89) ) ) )
      & ( ! [X88] :
            ( ndr1_0
           => ( ~ c2_1(X88)
              | ~ c1_1(X88)
              | ~ c0_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c0_1(X87)
              | c3_1(X87)
              | c2_1(X87) ) ) )
      & ( hskp0
        | ! [X86] :
            ( ndr1_0
           => ( ~ c1_1(X86)
              | c3_1(X86)
              | c2_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | c3_1(X85)
              | c2_1(X85) ) ) )
      & ( hskp21
        | hskp17
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c0_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp18
        | ! [X83] :
            ( ndr1_0
           => ( ~ c2_1(X83)
              | ~ c1_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c0_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp12
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c0_1(X81)
              | c2_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c2_1(X80)
              | ~ c0_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp21
        | hskp30
        | ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | c3_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp21
        | hskp20
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | c3_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp1
        | hskp18
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | c3_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp2
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c1_1(X76)
              | ~ c0_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c0_1(X75)
              | c3_1(X75)
              | c1_1(X75) ) ) )
      & ( ! [X74] :
            ( ndr1_0
           => ( ~ c1_1(X74)
              | c3_1(X74)
              | c2_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c0_1(X73)
              | c1_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp9
        | hskp17
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | c2_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp19
        | hskp18
        | ! [X70] :
            ( ndr1_0
           => ( ~ c0_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp14
        | ! [X69] :
            ( ndr1_0
           => ( ~ c1_1(X69)
              | c3_1(X69)
              | c2_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c3_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp2
        | ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c2_1(X67)
              | c1_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c3_1(X66)
              | c2_1(X66)
              | c1_1(X66) ) ) )
      & ( hskp16
        | ! [X65] :
            ( ndr1_0
           => ( ~ c0_1(X65)
              | c3_1(X65)
              | c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( c3_1(X64)
              | c2_1(X64)
              | c1_1(X64) ) ) )
      & ( hskp6
        | hskp18
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c2_1(X63)
              | c0_1(X63) ) ) )
      & ( hskp17
        | hskp7
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c2_1(X62)
              | c0_1(X62) ) ) )
      & ( ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c1_1(X61)
              | ~ c0_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | ~ c1_1(X60)
              | ~ c0_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c2_1(X59)
              | c0_1(X59) ) ) )
      & ( ! [X58] :
            ( ndr1_0
           => ( ~ c1_1(X58)
              | ~ c0_1(X58)
              | c3_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c3_1(X57)
              | c2_1(X57)
              | c1_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c2_1(X56)
              | c0_1(X56) ) ) )
      & ( hskp16
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c2_1(X55)
              | ~ c1_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c1_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp5
        | ! [X53] :
            ( ndr1_0
           => ( ~ c0_1(X53)
              | c2_1(X53)
              | c1_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | ~ c1_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp1
        | hskp30
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | ~ c1_1(X51)
              | c0_1(X51) ) ) )
      & ( ! [X50] :
            ( ndr1_0
           => ( ~ c0_1(X50)
              | c2_1(X50)
              | c1_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | ~ c1_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp16
        | hskp7
        | ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | c3_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp1
        | hskp15
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | c3_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp14
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | ~ c1_1(X46)
              | c0_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | c3_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp13
        | ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | ~ c0_1(X44)
              | c1_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c3_1(X43)
              | c0_1(X43) ) ) )
      & ( ! [X42] :
            ( ndr1_0
           => ( ~ c1_1(X42)
              | ~ c0_1(X42)
              | c2_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c2_1(X41)
              | c3_1(X41)
              | c1_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c1_1(X40)
              | c3_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp12
        | hskp5
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp11
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | ~ c2_1(X38)
              | ~ c1_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp10
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | ~ c1_1(X36)
              | c2_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp9
        | ! [X34] :
            ( ndr1_0
           => ( ~ c0_1(X34)
              | c2_1(X34)
              | c1_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp29
        | ! [X32] :
            ( ndr1_0
           => ( ~ c0_1(X32)
              | c2_1(X32)
              | c1_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp0
        | hskp29
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp6
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | c3_1(X29)
              | c2_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp8
        | hskp7
        | ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp6
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | ~ c1_1(X26)
              | ~ c0_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( ~ c1_1(X24)
              | c3_1(X24)
              | c0_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c1_1(X23)
              | c2_1(X23)
              | c0_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c3_1(X22)
              | c2_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp28
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | ~ c2_1(X21)
              | ~ c1_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp5
        | ! [X19] :
            ( ndr1_0
           => ( ~ c1_1(X19)
              | c3_1(X19)
              | c2_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( ~ c0_1(X17)
              | c3_1(X17)
              | c2_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c1_1(X16)
              | c2_1(X16)
              | c0_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( ~ c0_1(X14)
              | c3_1(X14)
              | c2_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | ~ c2_1(X13)
              | c1_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( ~ c3_1(X11)
              | ~ c0_1(X11)
              | c1_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | ~ c1_1(X10)
              | c0_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( hskp5
        | ! [X8] :
            ( ndr1_0
           => ( ~ c1_1(X8)
              | c2_1(X8)
              | c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( ~ c1_1(X6)
              | c3_1(X6)
              | c2_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( ~ c1_1(X5)
              | c2_1(X5)
              | c0_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp4
        | hskp3
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( hskp2
        | hskp1
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | ~ c0_1(X1)
              | c3_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a529)
          & c1_1(a529)
          & c0_1(a529)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c3_1(a488)
          & c2_1(a488)
          & c1_1(a488)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c2_1(a474)
          & c1_1(a474)
          & c0_1(a474)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a469)
          & c2_1(a469)
          & c0_1(a469)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c3_1(a576)
          & ~ c2_1(a576)
          & ~ c1_1(a576)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a559)
          & c1_1(a559)
          & c0_1(a559)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c0_1(a545)
          & c3_1(a545)
          & c1_1(a545)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a525)
          & c1_1(a525)
          & c0_1(a525)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a521)
          & ~ c2_1(a521)
          & ~ c0_1(a521)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c2_1(a519)
          & ~ c0_1(a519)
          & c1_1(a519)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c1_1(a507)
          & ~ c0_1(a507)
          & c2_1(a507)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a506)
          & c2_1(a506)
          & c1_1(a506)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a500)
          & ~ c2_1(a500)
          & c1_1(a500)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a494)
          & ~ c2_1(a494)
          & c0_1(a494)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c0_1(a493)
          & c3_1(a493)
          & c2_1(a493)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c2_1(a487)
          & ~ c1_1(a487)
          & c0_1(a487)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a484)
          & c2_1(a484)
          & c0_1(a484)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c0_1(a483)
          & c2_1(a483)
          & c1_1(a483)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c2_1(a482)
          & ~ c1_1(a482)
          & c3_1(a482)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a481)
          & ~ c0_1(a481)
          & c1_1(a481)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c1_1(a479)
          & c3_1(a479)
          & c0_1(a479)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a478)
          & ~ c0_1(a478)
          & c2_1(a478)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a477)
          & c3_1(a477)
          & c2_1(a477)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c2_1(a472)
          & c3_1(a472)
          & c1_1(a472)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a471)
          & c3_1(a471)
          & c0_1(a471)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a470)
          & ~ c1_1(a470)
          & ~ c0_1(a470)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a467)
          & ~ c1_1(a467)
          & c0_1(a467)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a466)
          & ~ c1_1(a466)
          & ~ c0_1(a466)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c1_1(a465)
          & ~ c0_1(a465)
          & c3_1(a465)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c2_1(a464)
          & ~ c0_1(a464)
          & c3_1(a464)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a463)
          & ~ c1_1(a463)
          & c2_1(a463)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c1_1(a462)
          & c2_1(a462)
          & c0_1(a462)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f3637,plain,
    ( ~ spl48_123
    | ~ spl48_130
    | ~ spl48_176
    | spl48_178 ),
    inference(avatar_contradiction_clause,[],[f3636]) ).

fof(f3636,plain,
    ( $false
    | ~ spl48_123
    | ~ spl48_130
    | ~ spl48_176
    | spl48_178 ),
    inference(resolution,[],[f3626,f1302]) ).

fof(f1302,plain,
    ( c0_1(a471)
    | ~ spl48_176 ),
    inference(avatar_component_clause,[],[f1300]) ).

fof(f1300,plain,
    ( spl48_176
  <=> c0_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_176])]) ).

fof(f3626,plain,
    ( ~ c0_1(a471)
    | ~ spl48_123
    | ~ spl48_130
    | spl48_178 ),
    inference(resolution,[],[f3484,f1312]) ).

fof(f1312,plain,
    ( ~ c2_1(a471)
    | spl48_178 ),
    inference(avatar_component_clause,[],[f1310]) ).

fof(f1310,plain,
    ( spl48_178
  <=> c2_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_178])]) ).

fof(f3484,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl48_123
    | ~ spl48_130 ),
    inference(duplicate_literal_removal,[],[f3469]) ).

fof(f3469,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl48_123
    | ~ spl48_130 ),
    inference(resolution,[],[f959,f928]) ).

fof(f928,plain,
    ( ! [X63] :
        ( c1_1(X63)
        | ~ c0_1(X63)
        | c2_1(X63) )
    | ~ spl48_123 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f927,plain,
    ( spl48_123
  <=> ! [X63] :
        ( ~ c0_1(X63)
        | c1_1(X63)
        | c2_1(X63) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_123])]) ).

fof(f3583,plain,
    ( ~ spl48_186
    | ~ spl48_210
    | ~ spl48_104
    | spl48_203 ),
    inference(avatar_split_clause,[],[f3421,f1552,f846,f1597,f1388]) ).

fof(f1388,plain,
    ( spl48_186
  <=> c0_1(a479) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_186])]) ).

fof(f1597,plain,
    ( spl48_210
  <=> c2_1(a479) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_210])]) ).

fof(f846,plain,
    ( spl48_104
  <=> ! [X36] :
        ( ~ c2_1(X36)
        | c1_1(X36)
        | ~ c0_1(X36) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_104])]) ).

fof(f1552,plain,
    ( spl48_203
  <=> c1_1(a479) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_203])]) ).

fof(f3421,plain,
    ( ~ c2_1(a479)
    | ~ c0_1(a479)
    | ~ spl48_104
    | spl48_203 ),
    inference(resolution,[],[f847,f1554]) ).

fof(f1554,plain,
    ( ~ c1_1(a479)
    | spl48_203 ),
    inference(avatar_component_clause,[],[f1552]) ).

fof(f847,plain,
    ( ! [X36] :
        ( c1_1(X36)
        | ~ c2_1(X36)
        | ~ c0_1(X36) )
    | ~ spl48_104 ),
    inference(avatar_component_clause,[],[f846]) ).

fof(f3575,plain,
    ( ~ spl48_212
    | ~ spl48_215
    | ~ spl48_104
    | spl48_213 ),
    inference(avatar_split_clause,[],[f3417,f1627,f846,f1638,f1610]) ).

fof(f1610,plain,
    ( spl48_212
  <=> c0_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_212])]) ).

fof(f1638,plain,
    ( spl48_215
  <=> c2_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_215])]) ).

fof(f1627,plain,
    ( spl48_213
  <=> c1_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_213])]) ).

fof(f3417,plain,
    ( ~ c2_1(a467)
    | ~ c0_1(a467)
    | ~ spl48_104
    | spl48_213 ),
    inference(resolution,[],[f847,f1629]) ).

fof(f1629,plain,
    ( ~ c1_1(a467)
    | spl48_213 ),
    inference(avatar_component_clause,[],[f1627]) ).

fof(f3525,plain,
    ( ~ spl48_33
    | ~ spl48_204
    | ~ spl48_93
    | spl48_191 ),
    inference(avatar_split_clause,[],[f3106,f1430,f801,f1562,f505]) ).

fof(f505,plain,
    ( spl48_33
  <=> c0_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_33])]) ).

fof(f1562,plain,
    ( spl48_204
  <=> c1_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_204])]) ).

fof(f801,plain,
    ( spl48_93
  <=> ! [X19] :
        ( ~ c1_1(X19)
        | c3_1(X19)
        | ~ c0_1(X19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_93])]) ).

fof(f1430,plain,
    ( spl48_191
  <=> c3_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_191])]) ).

fof(f3106,plain,
    ( ~ c1_1(a494)
    | ~ c0_1(a494)
    | ~ spl48_93
    | spl48_191 ),
    inference(resolution,[],[f802,f1432]) ).

fof(f1432,plain,
    ( ~ c3_1(a494)
    | spl48_191 ),
    inference(avatar_component_clause,[],[f1430]) ).

fof(f802,plain,
    ( ! [X19] :
        ( c3_1(X19)
        | ~ c1_1(X19)
        | ~ c0_1(X19) )
    | ~ spl48_93 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f3265,plain,
    ( ~ spl48_161
    | spl48_160
    | ~ spl48_77
    | ~ spl48_211 ),
    inference(avatar_split_clause,[],[f2981,f1606,f729,f1118,f1122]) ).

fof(f1122,plain,
    ( spl48_161
  <=> c0_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_161])]) ).

fof(f1118,plain,
    ( spl48_160
  <=> c2_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_160])]) ).

fof(f729,plain,
    ( spl48_77
  <=> c3_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_77])]) ).

fof(f1606,plain,
    ( spl48_211
  <=> ! [X20] :
        ( ~ c3_1(X20)
        | c2_1(X20)
        | ~ c0_1(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_211])]) ).

fof(f2981,plain,
    ( c2_1(a472)
    | ~ c0_1(a472)
    | ~ spl48_77
    | ~ spl48_211 ),
    inference(resolution,[],[f1607,f731]) ).

fof(f731,plain,
    ( c3_1(a472)
    | ~ spl48_77 ),
    inference(avatar_component_clause,[],[f729]) ).

fof(f1607,plain,
    ( ! [X20] :
        ( ~ c3_1(X20)
        | c2_1(X20)
        | ~ c0_1(X20) )
    | ~ spl48_211 ),
    inference(avatar_component_clause,[],[f1606]) ).

fof(f3238,plain,
    ( ~ spl48_162
    | spl48_163
    | ~ spl48_71
    | ~ spl48_173 ),
    inference(avatar_split_clause,[],[f2952,f1276,f698,f1140,f1136]) ).

fof(f1136,plain,
    ( spl48_162
  <=> c2_1(a545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_162])]) ).

fof(f1140,plain,
    ( spl48_163
  <=> c0_1(a545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_163])]) ).

fof(f698,plain,
    ( spl48_71
  <=> c1_1(a545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_71])]) ).

fof(f2952,plain,
    ( c0_1(a545)
    | ~ c2_1(a545)
    | ~ spl48_71
    | ~ spl48_173 ),
    inference(resolution,[],[f1277,f700]) ).

fof(f700,plain,
    ( c1_1(a545)
    | ~ spl48_71 ),
    inference(avatar_component_clause,[],[f698]) ).

fof(f3214,plain,
    ( ~ spl48_76
    | spl48_160
    | ~ spl48_77
    | ~ spl48_133 ),
    inference(avatar_split_clause,[],[f2850,f971,f729,f1118,f724]) ).

fof(f724,plain,
    ( spl48_76
  <=> c1_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_76])]) ).

fof(f971,plain,
    ( spl48_133
  <=> ! [X80] :
        ( ~ c3_1(X80)
        | c2_1(X80)
        | ~ c1_1(X80) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_133])]) ).

fof(f2850,plain,
    ( c2_1(a472)
    | ~ c1_1(a472)
    | ~ spl48_77
    | ~ spl48_133 ),
    inference(resolution,[],[f972,f731]) ).

fof(f972,plain,
    ( ! [X80] :
        ( ~ c3_1(X80)
        | c2_1(X80)
        | ~ c1_1(X80) )
    | ~ spl48_133 ),
    inference(avatar_component_clause,[],[f971]) ).

fof(f3177,plain,
    ( ~ spl48_161
    | spl48_160
    | ~ spl48_76
    | ~ spl48_130 ),
    inference(avatar_split_clause,[],[f2793,f958,f724,f1118,f1122]) ).

fof(f2793,plain,
    ( c2_1(a472)
    | ~ c0_1(a472)
    | ~ spl48_76
    | ~ spl48_130 ),
    inference(resolution,[],[f959,f726]) ).

fof(f726,plain,
    ( c1_1(a472)
    | ~ spl48_76 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f3176,plain,
    ( spl48_166
    | spl48_165
    | ~ spl48_140
    | spl48_167 ),
    inference(avatar_split_clause,[],[f2784,f1182,f1002,f1172,f1177]) ).

fof(f1177,plain,
    ( spl48_166
  <=> c2_1(a521) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_166])]) ).

fof(f1172,plain,
    ( spl48_165
  <=> c0_1(a521) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_165])]) ).

fof(f1002,plain,
    ( spl48_140
  <=> ! [X94] :
        ( c3_1(X94)
        | c0_1(X94)
        | c2_1(X94) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_140])]) ).

fof(f1182,plain,
    ( spl48_167
  <=> c3_1(a521) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_167])]) ).

fof(f2784,plain,
    ( c0_1(a521)
    | c2_1(a521)
    | ~ spl48_140
    | spl48_167 ),
    inference(resolution,[],[f1184,f1003]) ).

fof(f1003,plain,
    ( ! [X94] :
        ( c3_1(X94)
        | c0_1(X94)
        | c2_1(X94) )
    | ~ spl48_140 ),
    inference(avatar_component_clause,[],[f1002]) ).

fof(f1184,plain,
    ( ~ c3_1(a521)
    | spl48_167 ),
    inference(avatar_component_clause,[],[f1182]) ).

fof(f3091,plain,
    ( ~ spl48_2
    | spl48_93
    | spl48_24
    | spl48_12 ),
    inference(avatar_split_clause,[],[f191,f404,f464,f801,f354]) ).

fof(f354,plain,
    ( spl48_2
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_2])]) ).

fof(f464,plain,
    ( spl48_24
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_24])]) ).

fof(f404,plain,
    ( spl48_12
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_12])]) ).

fof(f191,plain,
    ! [X15] :
      ( hskp12
      | hskp30
      | ~ c1_1(X15)
      | ~ c0_1(X15)
      | c3_1(X15)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f3089,plain,
    ( ~ spl48_225
    | ~ spl48_68
    | ~ spl48_87
    | ~ spl48_226 ),
    inference(avatar_split_clause,[],[f2703,f2696,f777,f682,f2691]) ).

fof(f777,plain,
    ( spl48_87
  <=> ! [X11] :
        ( ~ c3_1(X11)
        | ~ c1_1(X11)
        | ~ c2_1(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_87])]) ).

fof(f2696,plain,
    ( spl48_226
  <=> c3_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_226])]) ).

fof(f2703,plain,
    ( ~ c1_1(a488)
    | ~ c2_1(a488)
    | ~ spl48_87
    | ~ spl48_226 ),
    inference(resolution,[],[f2698,f778]) ).

fof(f778,plain,
    ( ! [X11] :
        ( ~ c3_1(X11)
        | ~ c1_1(X11)
        | ~ c2_1(X11) )
    | ~ spl48_87 ),
    inference(avatar_component_clause,[],[f777]) ).

fof(f2698,plain,
    ( c3_1(a488)
    | ~ spl48_226 ),
    inference(avatar_component_clause,[],[f2696]) ).

fof(f3063,plain,
    ( ~ spl48_225
    | ~ spl48_228
    | ~ spl48_68
    | ~ spl48_98 ),
    inference(avatar_split_clause,[],[f2700,f822,f682,f3060,f2691]) ).

fof(f822,plain,
    ( spl48_98
  <=> ! [X28] :
        ( ~ c2_1(X28)
        | ~ c0_1(X28)
        | ~ c1_1(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_98])]) ).

fof(f2700,plain,
    ( ~ c0_1(a488)
    | ~ c2_1(a488)
    | ~ spl48_68
    | ~ spl48_98 ),
    inference(resolution,[],[f684,f823]) ).

fof(f823,plain,
    ( ! [X28] :
        ( ~ c1_1(X28)
        | ~ c0_1(X28)
        | ~ c2_1(X28) )
    | ~ spl48_98 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f3025,plain,
    ( ~ spl48_144
    | ~ spl48_2
    | spl48_109
    | spl48_6 ),
    inference(avatar_split_clause,[],[f342,f374,f867,f354,f1019]) ).

fof(f1019,plain,
    ( spl48_144
  <=> sP37 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_144])]) ).

fof(f867,plain,
    ( spl48_109
  <=> ! [X42] :
        ( ~ c1_1(X42)
        | c2_1(X42)
        | c3_1(X42) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_109])]) ).

fof(f374,plain,
    ( spl48_6
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_6])]) ).

fof(f342,plain,
    ! [X97] :
      ( hskp5
      | ~ c1_1(X97)
      | c3_1(X97)
      | c2_1(X97)
      | ~ ndr1_0
      | ~ sP37 ),
    inference(duplicate_literal_removal,[],[f290]) ).

fof(f290,plain,
    ! [X97] :
      ( hskp5
      | ~ c1_1(X97)
      | c3_1(X97)
      | c2_1(X97)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP37 ),
    inference(general_splitting,[],[f143,f289_D]) ).

fof(f289,plain,
    ! [X98] :
      ( ~ c3_1(X98)
      | c1_1(X98)
      | c0_1(X98)
      | sP37 ),
    inference(cnf_transformation,[],[f289_D]) ).

fof(f289_D,plain,
    ( ! [X98] :
        ( ~ c3_1(X98)
        | c1_1(X98)
        | c0_1(X98) )
  <=> ~ sP37 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP37])]) ).

fof(f143,plain,
    ! [X98,X97] :
      ( hskp5
      | ~ c1_1(X97)
      | c3_1(X97)
      | c2_1(X97)
      | ~ ndr1_0
      | ~ c3_1(X98)
      | c1_1(X98)
      | c0_1(X98)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f3024,plain,
    ( ~ spl48_33
    | spl48_204
    | ~ spl48_114
    | spl48_191 ),
    inference(avatar_split_clause,[],[f2565,f1430,f888,f1562,f505]) ).

fof(f888,plain,
    ( spl48_114
  <=> ! [X51] :
        ( ~ c0_1(X51)
        | c1_1(X51)
        | c3_1(X51) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_114])]) ).

fof(f2565,plain,
    ( c1_1(a494)
    | ~ c0_1(a494)
    | ~ spl48_114
    | spl48_191 ),
    inference(resolution,[],[f1432,f889]) ).

fof(f889,plain,
    ( ! [X51] :
        ( c3_1(X51)
        | c1_1(X51)
        | ~ c0_1(X51) )
    | ~ spl48_114 ),
    inference(avatar_component_clause,[],[f888]) ).

fof(f3019,plain,
    ( ~ spl48_212
    | spl48_213
    | ~ spl48_114
    | spl48_214 ),
    inference(avatar_split_clause,[],[f2556,f1632,f888,f1627,f1610]) ).

fof(f1632,plain,
    ( spl48_214
  <=> c3_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_214])]) ).

fof(f2556,plain,
    ( c1_1(a467)
    | ~ c0_1(a467)
    | ~ spl48_114
    | spl48_214 ),
    inference(resolution,[],[f1634,f889]) ).

fof(f1634,plain,
    ( ~ c3_1(a467)
    | spl48_214 ),
    inference(avatar_component_clause,[],[f1632]) ).

fof(f2958,plain,
    ( ~ spl48_42
    | spl48_48
    | ~ spl48_45
    | ~ spl48_218 ),
    inference(avatar_split_clause,[],[f2462,f1947,f562,f577,f547]) ).

fof(f547,plain,
    ( spl48_42
  <=> c2_1(a477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_42])]) ).

fof(f577,plain,
    ( spl48_48
  <=> c1_1(a477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_48])]) ).

fof(f562,plain,
    ( spl48_45
  <=> c3_1(a477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_45])]) ).

fof(f1947,plain,
    ( spl48_218
  <=> ! [X49] :
        ( ~ c3_1(X49)
        | c1_1(X49)
        | ~ c2_1(X49) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_218])]) ).

fof(f2462,plain,
    ( c1_1(a477)
    | ~ c2_1(a477)
    | ~ spl48_45
    | ~ spl48_218 ),
    inference(resolution,[],[f1948,f564]) ).

fof(f564,plain,
    ( c3_1(a477)
    | ~ spl48_45 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f1948,plain,
    ( ! [X49] :
        ( ~ c3_1(X49)
        | c1_1(X49)
        | ~ c2_1(X49) )
    | ~ spl48_218 ),
    inference(avatar_component_clause,[],[f1947]) ).

fof(f2935,plain,
    ( spl48_199
    | spl48_188
    | ~ spl48_140
    | spl48_189 ),
    inference(avatar_split_clause,[],[f2453,f1403,f1002,f1398,f1485]) ).

fof(f2453,plain,
    ( c0_1(a481)
    | c2_1(a481)
    | ~ spl48_140
    | spl48_189 ),
    inference(resolution,[],[f1405,f1003]) ).

fof(f2859,plain,
    ( ~ spl48_50
    | spl48_188
    | ~ spl48_128
    | spl48_189 ),
    inference(avatar_split_clause,[],[f2452,f1403,f950,f1398,f588]) ).

fof(f950,plain,
    ( spl48_128
  <=> ! [X76] :
        ( ~ c1_1(X76)
        | c0_1(X76)
        | c3_1(X76) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_128])]) ).

fof(f2452,plain,
    ( c0_1(a481)
    | ~ c1_1(a481)
    | ~ spl48_128
    | spl48_189 ),
    inference(resolution,[],[f1405,f951]) ).

fof(f951,plain,
    ( ! [X76] :
        ( c3_1(X76)
        | c0_1(X76)
        | ~ c1_1(X76) )
    | ~ spl48_128 ),
    inference(avatar_component_clause,[],[f950]) ).

fof(f2844,plain,
    ( ~ spl48_132
    | spl48_179
    | ~ spl48_2
    | spl48_10 ),
    inference(avatar_split_clause,[],[f335,f394,f354,f1324,f967]) ).

fof(f967,plain,
    ( spl48_132
  <=> sP29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_132])]) ).

fof(f394,plain,
    ( spl48_10
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_10])]) ).

fof(f335,plain,
    ! [X81] :
      ( hskp10
      | ~ ndr1_0
      | ~ c3_1(X81)
      | c2_1(X81)
      | c0_1(X81)
      | ~ sP29 ),
    inference(duplicate_literal_removal,[],[f274]) ).

fof(f274,plain,
    ! [X81] :
      ( hskp10
      | ~ ndr1_0
      | ~ c3_1(X81)
      | c2_1(X81)
      | c0_1(X81)
      | ~ ndr1_0
      | ~ sP29 ),
    inference(general_splitting,[],[f152,f273_D]) ).

fof(f273,plain,
    ! [X80] :
      ( ~ c3_1(X80)
      | ~ c1_1(X80)
      | c2_1(X80)
      | sP29 ),
    inference(cnf_transformation,[],[f273_D]) ).

fof(f273_D,plain,
    ( ! [X80] :
        ( ~ c3_1(X80)
        | ~ c1_1(X80)
        | c2_1(X80) )
  <=> ~ sP29 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP29])]) ).

fof(f152,plain,
    ! [X80,X81] :
      ( hskp10
      | ~ c3_1(X80)
      | ~ c1_1(X80)
      | c2_1(X80)
      | ~ ndr1_0
      | ~ c3_1(X81)
      | c2_1(X81)
      | c0_1(X81)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2829,plain,
    ( spl48_210
    | ~ spl48_186
    | ~ spl48_123
    | spl48_203 ),
    inference(avatar_split_clause,[],[f2420,f1552,f927,f1388,f1597]) ).

fof(f2420,plain,
    ( ~ c0_1(a479)
    | c2_1(a479)
    | ~ spl48_123
    | spl48_203 ),
    inference(resolution,[],[f928,f1554]) ).

fof(f2811,plain,
    ( spl48_215
    | ~ spl48_212
    | ~ spl48_123
    | spl48_213 ),
    inference(avatar_split_clause,[],[f2417,f1627,f927,f1610,f1638]) ).

fof(f2417,plain,
    ( ~ c0_1(a467)
    | c2_1(a467)
    | ~ spl48_123
    | spl48_213 ),
    inference(resolution,[],[f928,f1629]) ).

fof(f2787,plain,
    ( ~ spl48_94
    | spl48_130
    | ~ spl48_2
    | spl48_23 ),
    inference(avatar_split_clause,[],[f315,f459,f354,f958,f805]) ).

fof(f805,plain,
    ( spl48_94
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_94])]) ).

fof(f459,plain,
    ( spl48_23
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_23])]) ).

fof(f315,plain,
    ! [X22] :
      ( hskp29
      | ~ ndr1_0
      | ~ c1_1(X22)
      | ~ c0_1(X22)
      | c2_1(X22)
      | ~ sP5 ),
    inference(duplicate_literal_removal,[],[f226]) ).

fof(f226,plain,
    ! [X22] :
      ( hskp29
      | ~ ndr1_0
      | ~ c1_1(X22)
      | ~ c0_1(X22)
      | c2_1(X22)
      | ~ ndr1_0
      | ~ sP5 ),
    inference(general_splitting,[],[f187,f225_D]) ).

fof(f225,plain,
    ! [X21] :
      ( ~ c2_1(X21)
      | ~ c1_1(X21)
      | c3_1(X21)
      | sP5 ),
    inference(cnf_transformation,[],[f225_D]) ).

fof(f225_D,plain,
    ( ! [X21] :
        ( ~ c2_1(X21)
        | ~ c1_1(X21)
        | c3_1(X21) )
  <=> ~ sP5 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).

fof(f187,plain,
    ! [X21,X22] :
      ( hskp29
      | ~ c2_1(X21)
      | ~ c1_1(X21)
      | c3_1(X21)
      | ~ ndr1_0
      | ~ c1_1(X22)
      | ~ c0_1(X22)
      | c2_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2781,plain,
    ( ~ spl48_2
    | spl48_109
    | spl48_9
    | spl48_19 ),
    inference(avatar_split_clause,[],[f186,f439,f389,f867,f354]) ).

fof(f389,plain,
    ( spl48_9
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_9])]) ).

fof(f439,plain,
    ( spl48_19
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_19])]) ).

fof(f186,plain,
    ! [X23] :
      ( hskp23
      | hskp9
      | ~ c1_1(X23)
      | c3_1(X23)
      | c2_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2735,plain,
    ( ~ spl48_168
    | spl48_78
    | spl48_80
    | ~ spl48_114 ),
    inference(avatar_split_clause,[],[f2024,f888,f744,f734,f1189]) ).

fof(f1189,plain,
    ( spl48_168
  <=> c0_1(a576) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_168])]) ).

fof(f734,plain,
    ( spl48_78
  <=> c1_1(a576) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_78])]) ).

fof(f744,plain,
    ( spl48_80
  <=> c3_1(a576) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_80])]) ).

fof(f2024,plain,
    ( c1_1(a576)
    | ~ c0_1(a576)
    | spl48_80
    | ~ spl48_114 ),
    inference(resolution,[],[f889,f746]) ).

fof(f746,plain,
    ( ~ c3_1(a576)
    | spl48_80 ),
    inference(avatar_component_clause,[],[f744]) ).

fof(f2709,plain,
    ( spl48_79
    | spl48_168
    | spl48_80
    | ~ spl48_140 ),
    inference(avatar_split_clause,[],[f2277,f1002,f744,f1189,f739]) ).

fof(f739,plain,
    ( spl48_79
  <=> c2_1(a576) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_79])]) ).

fof(f2277,plain,
    ( c0_1(a576)
    | c2_1(a576)
    | spl48_80
    | ~ spl48_140 ),
    inference(resolution,[],[f1003,f746]) ).

fof(f2699,plain,
    ( ~ spl48_24
    | spl48_226 ),
    inference(avatar_split_clause,[],[f130,f2696,f464]) ).

fof(f130,plain,
    ( c3_1(a488)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2694,plain,
    ( ~ spl48_24
    | spl48_225 ),
    inference(avatar_split_clause,[],[f129,f2691,f464]) ).

fof(f129,plain,
    ( c2_1(a488)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2559,plain,
    ( ~ spl48_62
    | spl48_164
    | spl48_66
    | ~ spl48_109 ),
    inference(avatar_split_clause,[],[f2233,f867,f671,f1160,f650]) ).

fof(f650,plain,
    ( spl48_62
  <=> c1_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_62])]) ).

fof(f1160,plain,
    ( spl48_164
  <=> c2_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_164])]) ).

fof(f671,plain,
    ( spl48_66
  <=> c3_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_66])]) ).

fof(f2233,plain,
    ( c2_1(a559)
    | ~ c1_1(a559)
    | spl48_66
    | ~ spl48_109 ),
    inference(resolution,[],[f868,f673]) ).

fof(f673,plain,
    ( ~ c3_1(a559)
    | spl48_66 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f868,plain,
    ( ! [X42] :
        ( c3_1(X42)
        | c2_1(X42)
        | ~ c1_1(X42) )
    | ~ spl48_109 ),
    inference(avatar_component_clause,[],[f867]) ).

fof(f2552,plain,
    ( ~ spl48_217
    | spl48_166
    | ~ spl48_109
    | spl48_167 ),
    inference(avatar_split_clause,[],[f2232,f1182,f867,f1177,f1901]) ).

fof(f1901,plain,
    ( spl48_217
  <=> c1_1(a521) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_217])]) ).

fof(f2232,plain,
    ( c2_1(a521)
    | ~ c1_1(a521)
    | ~ spl48_109
    | spl48_167 ),
    inference(resolution,[],[f868,f1184]) ).

fof(f2551,plain,
    ( ~ spl48_135
    | spl48_179
    | ~ spl48_2
    | spl48_23 ),
    inference(avatar_split_clause,[],[f337,f459,f354,f1324,f980]) ).

fof(f980,plain,
    ( spl48_135
  <=> sP31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_135])]) ).

fof(f337,plain,
    ! [X85] :
      ( hskp29
      | ~ ndr1_0
      | ~ c3_1(X85)
      | c2_1(X85)
      | c0_1(X85)
      | ~ sP31 ),
    inference(duplicate_literal_removal,[],[f278]) ).

fof(f278,plain,
    ! [X85] :
      ( hskp29
      | ~ ndr1_0
      | ~ c3_1(X85)
      | c2_1(X85)
      | c0_1(X85)
      | ~ ndr1_0
      | ~ sP31 ),
    inference(general_splitting,[],[f150,f277_D]) ).

fof(f277,plain,
    ! [X84] :
      ( ~ c0_1(X84)
      | c2_1(X84)
      | c1_1(X84)
      | sP31 ),
    inference(cnf_transformation,[],[f277_D]) ).

fof(f277_D,plain,
    ( ! [X84] :
        ( ~ c0_1(X84)
        | c2_1(X84)
        | c1_1(X84) )
  <=> ~ sP31 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP31])]) ).

fof(f150,plain,
    ! [X84,X85] :
      ( hskp29
      | ~ c0_1(X84)
      | c2_1(X84)
      | c1_1(X84)
      | ~ ndr1_0
      | ~ c3_1(X85)
      | c2_1(X85)
      | c0_1(X85)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2504,plain,
    ( ~ spl48_119
    | ~ spl48_118
    | spl48_117
    | ~ spl48_2 ),
    inference(avatar_split_clause,[],[f327,f354,f901,f905,f910]) ).

fof(f910,plain,
    ( spl48_119
  <=> sP20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_119])]) ).

fof(f905,plain,
    ( spl48_118
  <=> sP19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_118])]) ).

fof(f901,plain,
    ( spl48_117
  <=> ! [X57] :
        ( ~ c3_1(X57)
        | c0_1(X57)
        | ~ c2_1(X57) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_117])]) ).

fof(f327,plain,
    ! [X60] :
      ( ~ ndr1_0
      | ~ c3_1(X60)
      | ~ c2_1(X60)
      | c0_1(X60)
      | ~ sP19
      | ~ sP20 ),
    inference(duplicate_literal_removal,[],[f256]) ).

fof(f256,plain,
    ! [X60] :
      ( ~ ndr1_0
      | ~ ndr1_0
      | ~ c3_1(X60)
      | ~ c2_1(X60)
      | c0_1(X60)
      | ~ ndr1_0
      | ~ sP19
      | ~ sP20 ),
    inference(general_splitting,[],[f254,f255_D]) ).

fof(f255,plain,
    ! [X59] :
      ( c3_1(X59)
      | c2_1(X59)
      | c1_1(X59)
      | sP20 ),
    inference(cnf_transformation,[],[f255_D]) ).

fof(f255_D,plain,
    ( ! [X59] :
        ( c3_1(X59)
        | c2_1(X59)
        | c1_1(X59) )
  <=> ~ sP20 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP20])]) ).

fof(f254,plain,
    ! [X59,X60] :
      ( ~ ndr1_0
      | c3_1(X59)
      | c2_1(X59)
      | c1_1(X59)
      | ~ ndr1_0
      | ~ c3_1(X60)
      | ~ c2_1(X60)
      | c0_1(X60)
      | ~ ndr1_0
      | ~ sP19 ),
    inference(general_splitting,[],[f164,f253_D]) ).

fof(f253,plain,
    ! [X58] :
      ( ~ c1_1(X58)
      | ~ c0_1(X58)
      | c3_1(X58)
      | sP19 ),
    inference(cnf_transformation,[],[f253_D]) ).

fof(f253_D,plain,
    ( ! [X58] :
        ( ~ c1_1(X58)
        | ~ c0_1(X58)
        | c3_1(X58) )
  <=> ~ sP19 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP19])]) ).

fof(f164,plain,
    ! [X58,X59,X60] :
      ( ~ c1_1(X58)
      | ~ c0_1(X58)
      | c3_1(X58)
      | ~ ndr1_0
      | c3_1(X59)
      | c2_1(X59)
      | c1_1(X59)
      | ~ ndr1_0
      | ~ c3_1(X60)
      | ~ c2_1(X60)
      | c0_1(X60)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2503,plain,
    ( ~ spl48_97
    | spl48_100
    | ~ spl48_2 ),
    inference(avatar_split_clause,[],[f317,f354,f830,f818]) ).

fof(f818,plain,
    ( spl48_97
  <=> sP7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_97])]) ).

fof(f830,plain,
    ( spl48_100
  <=> ! [X31] :
        ( ~ c0_1(X31)
        | c2_1(X31)
        | c3_1(X31) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_100])]) ).

fof(f317,plain,
    ! [X29] :
      ( ~ ndr1_0
      | ~ c0_1(X29)
      | c3_1(X29)
      | c2_1(X29)
      | ~ sP7 ),
    inference(duplicate_literal_removal,[],[f230]) ).

fof(f230,plain,
    ! [X29] :
      ( ~ ndr1_0
      | ~ c0_1(X29)
      | c3_1(X29)
      | c2_1(X29)
      | ~ ndr1_0
      | ~ sP7 ),
    inference(general_splitting,[],[f182,f229_D]) ).

fof(f229,plain,
    ! [X28] :
      ( ~ c2_1(X28)
      | ~ c1_1(X28)
      | ~ c0_1(X28)
      | sP7 ),
    inference(cnf_transformation,[],[f229_D]) ).

fof(f229_D,plain,
    ( ! [X28] :
        ( ~ c2_1(X28)
        | ~ c1_1(X28)
        | ~ c0_1(X28) )
  <=> ~ sP7 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP7])]) ).

fof(f182,plain,
    ! [X28,X29] :
      ( ~ c2_1(X28)
      | ~ c1_1(X28)
      | ~ c0_1(X28)
      | ~ ndr1_0
      | ~ c0_1(X29)
      | c3_1(X29)
      | c2_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2471,plain,
    ( ~ spl48_8
    | ~ spl48_160 ),
    inference(avatar_split_clause,[],[f42,f1118,f384]) ).

fof(f384,plain,
    ( spl48_8
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_8])]) ).

fof(f42,plain,
    ( ~ c2_1(a472)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2470,plain,
    ( ~ spl48_116
    | ~ spl48_115
    | ~ spl48_2
    | spl48_85 ),
    inference(avatar_split_clause,[],[f326,f769,f354,f892,f897]) ).

fof(f897,plain,
    ( spl48_116
  <=> sP18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_116])]) ).

fof(f892,plain,
    ( spl48_115
  <=> sP17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_115])]) ).

fof(f769,plain,
    ( spl48_85
  <=> ! [X8] :
        ( ~ c3_1(X8)
        | ~ c0_1(X8)
        | ~ c1_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_85])]) ).

fof(f326,plain,
    ! [X55] :
      ( ~ c3_1(X55)
      | ~ c1_1(X55)
      | ~ c0_1(X55)
      | ~ ndr1_0
      | ~ sP17
      | ~ sP18 ),
    inference(duplicate_literal_removal,[],[f252]) ).

fof(f252,plain,
    ! [X55] :
      ( ~ c3_1(X55)
      | ~ c1_1(X55)
      | ~ c0_1(X55)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP17
      | ~ sP18 ),
    inference(general_splitting,[],[f250,f251_D]) ).

fof(f251,plain,
    ! [X57] :
      ( ~ c3_1(X57)
      | ~ c2_1(X57)
      | c0_1(X57)
      | sP18 ),
    inference(cnf_transformation,[],[f251_D]) ).

fof(f251_D,plain,
    ( ! [X57] :
        ( ~ c3_1(X57)
        | ~ c2_1(X57)
        | c0_1(X57) )
  <=> ~ sP18 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP18])]) ).

fof(f250,plain,
    ! [X57,X55] :
      ( ~ c3_1(X55)
      | ~ c1_1(X55)
      | ~ c0_1(X55)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c3_1(X57)
      | ~ c2_1(X57)
      | c0_1(X57)
      | ~ ndr1_0
      | ~ sP17 ),
    inference(general_splitting,[],[f165,f249_D]) ).

fof(f249,plain,
    ! [X56] :
      ( ~ c2_1(X56)
      | ~ c1_1(X56)
      | ~ c0_1(X56)
      | sP17 ),
    inference(cnf_transformation,[],[f249_D]) ).

fof(f249_D,plain,
    ( ! [X56] :
        ( ~ c2_1(X56)
        | ~ c1_1(X56)
        | ~ c0_1(X56) )
  <=> ~ sP17 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP17])]) ).

fof(f165,plain,
    ! [X56,X57,X55] :
      ( ~ c3_1(X55)
      | ~ c1_1(X55)
      | ~ c0_1(X55)
      | ~ ndr1_0
      | ~ c2_1(X56)
      | ~ c1_1(X56)
      | ~ c0_1(X56)
      | ~ ndr1_0
      | ~ c3_1(X57)
      | ~ c2_1(X57)
      | c0_1(X57)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2469,plain,
    ( ~ spl48_113
    | spl48_111
    | ~ spl48_2
    | spl48_16 ),
    inference(avatar_split_clause,[],[f325,f424,f354,f875,f884]) ).

fof(f884,plain,
    ( spl48_113
  <=> sP16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_113])]) ).

fof(f875,plain,
    ( spl48_111
  <=> ! [X48] :
        ( c3_1(X48)
        | c1_1(X48)
        | c2_1(X48) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_111])]) ).

fof(f424,plain,
    ( spl48_16
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_16])]) ).

fof(f325,plain,
    ! [X52] :
      ( hskp16
      | ~ ndr1_0
      | c3_1(X52)
      | c2_1(X52)
      | c1_1(X52)
      | ~ sP16 ),
    inference(duplicate_literal_removal,[],[f248]) ).

fof(f248,plain,
    ! [X52] :
      ( hskp16
      | ~ ndr1_0
      | c3_1(X52)
      | c2_1(X52)
      | c1_1(X52)
      | ~ ndr1_0
      | ~ sP16 ),
    inference(general_splitting,[],[f168,f247_D]) ).

fof(f247,plain,
    ! [X51] :
      ( ~ c0_1(X51)
      | c3_1(X51)
      | c1_1(X51)
      | sP16 ),
    inference(cnf_transformation,[],[f247_D]) ).

fof(f247_D,plain,
    ( ! [X51] :
        ( ~ c0_1(X51)
        | c3_1(X51)
        | c1_1(X51) )
  <=> ~ sP16 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP16])]) ).

fof(f168,plain,
    ! [X51,X52] :
      ( hskp16
      | ~ c0_1(X51)
      | c3_1(X51)
      | c1_1(X51)
      | ~ ndr1_0
      | c3_1(X52)
      | c2_1(X52)
      | c1_1(X52)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2336,plain,
    ( ~ spl48_101
    | ~ spl48_2
    | spl48_98
    | spl48_32 ),
    inference(avatar_split_clause,[],[f319,f501,f822,f354,f834]) ).

fof(f834,plain,
    ( spl48_101
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_101])]) ).

fof(f501,plain,
    ( spl48_32
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_32])]) ).

fof(f319,plain,
    ! [X33] :
      ( hskp18
      | ~ c2_1(X33)
      | ~ c1_1(X33)
      | ~ c0_1(X33)
      | ~ ndr1_0
      | ~ sP9 ),
    inference(duplicate_literal_removal,[],[f234]) ).

fof(f234,plain,
    ! [X33] :
      ( hskp18
      | ~ c2_1(X33)
      | ~ c1_1(X33)
      | ~ c0_1(X33)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP9 ),
    inference(general_splitting,[],[f179,f233_D]) ).

fof(f233,plain,
    ! [X34] :
      ( ~ c3_1(X34)
      | ~ c0_1(X34)
      | c1_1(X34)
      | sP9 ),
    inference(cnf_transformation,[],[f233_D]) ).

fof(f233_D,plain,
    ( ! [X34] :
        ( ~ c3_1(X34)
        | ~ c0_1(X34)
        | c1_1(X34) )
  <=> ~ sP9 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP9])]) ).

fof(f179,plain,
    ! [X34,X33] :
      ( hskp18
      | ~ c2_1(X33)
      | ~ c1_1(X33)
      | ~ c0_1(X33)
      | ~ ndr1_0
      | ~ c3_1(X34)
      | ~ c0_1(X34)
      | c1_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2335,plain,
    ( spl48_162
    | spl48_163
    | ~ spl48_74
    | ~ spl48_179 ),
    inference(avatar_split_clause,[],[f2130,f1324,f713,f1140,f1136]) ).

fof(f713,plain,
    ( spl48_74
  <=> c3_1(a545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_74])]) ).

fof(f2130,plain,
    ( c0_1(a545)
    | c2_1(a545)
    | ~ spl48_74
    | ~ spl48_179 ),
    inference(resolution,[],[f1325,f715]) ).

fof(f715,plain,
    ( c3_1(a545)
    | ~ spl48_74 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f2333,plain,
    ( ~ spl48_2
    | spl48_98
    | spl48_32
    | spl48_26 ),
    inference(avatar_split_clause,[],[f196,f474,f501,f822,f354]) ).

fof(f474,plain,
    ( spl48_26
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_26])]) ).

fof(f196,plain,
    ! [X7] :
      ( hskp4
      | hskp18
      | ~ c2_1(X7)
      | ~ c1_1(X7)
      | ~ c0_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2319,plain,
    ( spl48_160
    | spl48_161
    | ~ spl48_77
    | ~ spl48_179 ),
    inference(avatar_split_clause,[],[f2125,f1324,f729,f1122,f1118]) ).

fof(f2125,plain,
    ( c0_1(a472)
    | c2_1(a472)
    | ~ spl48_77
    | ~ spl48_179 ),
    inference(resolution,[],[f1325,f731]) ).

fof(f2302,plain,
    ( ~ spl48_43
    | ~ spl48_46
    | ~ spl48_85
    | ~ spl48_93 ),
    inference(avatar_contradiction_clause,[],[f2301]) ).

fof(f2301,plain,
    ( $false
    | ~ spl48_43
    | ~ spl48_46
    | ~ spl48_85
    | ~ spl48_93 ),
    inference(resolution,[],[f2299,f554]) ).

fof(f554,plain,
    ( c0_1(a474)
    | ~ spl48_43 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f552,plain,
    ( spl48_43
  <=> c0_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_43])]) ).

fof(f2299,plain,
    ( ~ c0_1(a474)
    | ~ spl48_46
    | ~ spl48_85
    | ~ spl48_93 ),
    inference(resolution,[],[f2108,f569]) ).

fof(f569,plain,
    ( c1_1(a474)
    | ~ spl48_46 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f567,plain,
    ( spl48_46
  <=> c1_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_46])]) ).

fof(f2108,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl48_85
    | ~ spl48_93 ),
    inference(duplicate_literal_removal,[],[f2095]) ).

fof(f2095,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl48_85
    | ~ spl48_93 ),
    inference(resolution,[],[f802,f770]) ).

fof(f770,plain,
    ( ! [X8] :
        ( ~ c3_1(X8)
        | ~ c0_1(X8)
        | ~ c1_1(X8) )
    | ~ spl48_85 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f2300,plain,
    ( ~ spl48_146
    | ~ spl48_145
    | spl48_137
    | ~ spl48_2 ),
    inference(avatar_split_clause,[],[f343,f354,f989,f1024,f1029]) ).

fof(f1029,plain,
    ( spl48_146
  <=> sP39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_146])]) ).

fof(f1024,plain,
    ( spl48_145
  <=> sP38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_145])]) ).

fof(f343,plain,
    ! [X100] :
      ( ~ ndr1_0
      | ~ c1_1(X100)
      | c2_1(X100)
      | c0_1(X100)
      | ~ sP38
      | ~ sP39 ),
    inference(duplicate_literal_removal,[],[f294]) ).

fof(f294,plain,
    ! [X100] :
      ( ~ ndr1_0
      | ~ c1_1(X100)
      | c2_1(X100)
      | c0_1(X100)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP38
      | ~ sP39 ),
    inference(general_splitting,[],[f292,f293_D]) ).

fof(f293,plain,
    ! [X99] :
      ( ~ c0_1(X99)
      | c3_1(X99)
      | c2_1(X99)
      | sP39 ),
    inference(cnf_transformation,[],[f293_D]) ).

fof(f293_D,plain,
    ( ! [X99] :
        ( ~ c0_1(X99)
        | c3_1(X99)
        | c2_1(X99) )
  <=> ~ sP39 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP39])]) ).

fof(f292,plain,
    ! [X99,X100] :
      ( ~ c0_1(X99)
      | c3_1(X99)
      | c2_1(X99)
      | ~ ndr1_0
      | ~ c1_1(X100)
      | c2_1(X100)
      | c0_1(X100)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP38 ),
    inference(general_splitting,[],[f142,f291_D]) ).

fof(f291,plain,
    ! [X101] :
      ( ~ c3_1(X101)
      | c1_1(X101)
      | c0_1(X101)
      | sP38 ),
    inference(cnf_transformation,[],[f291_D]) ).

fof(f291_D,plain,
    ( ! [X101] :
        ( ~ c3_1(X101)
        | c1_1(X101)
        | c0_1(X101) )
  <=> ~ sP38 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP38])]) ).

fof(f142,plain,
    ! [X101,X99,X100] :
      ( ~ c0_1(X99)
      | c3_1(X99)
      | c2_1(X99)
      | ~ ndr1_0
      | ~ c1_1(X100)
      | c2_1(X100)
      | c0_1(X100)
      | ~ ndr1_0
      | ~ c3_1(X101)
      | c1_1(X101)
      | c0_1(X101)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2288,plain,
    ( ~ spl48_40
    | spl48_222 ),
    inference(avatar_split_clause,[],[f121,f2285,f537]) ).

fof(f121,plain,
    ( c2_1(a469)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2283,plain,
    ( ~ spl48_142
    | ~ spl48_2
    | spl48_87
    | spl48_40 ),
    inference(avatar_split_clause,[],[f341,f537,f777,f354,f1011]) ).

fof(f1011,plain,
    ( spl48_142
  <=> sP36 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_142])]) ).

fof(f341,plain,
    ! [X95] :
      ( hskp28
      | ~ c3_1(X95)
      | ~ c2_1(X95)
      | ~ c1_1(X95)
      | ~ ndr1_0
      | ~ sP36 ),
    inference(duplicate_literal_removal,[],[f288]) ).

fof(f288,plain,
    ! [X95] :
      ( hskp28
      | ~ c3_1(X95)
      | ~ c2_1(X95)
      | ~ c1_1(X95)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP36 ),
    inference(general_splitting,[],[f144,f287_D]) ).

fof(f287,plain,
    ! [X96] :
      ( ~ c3_1(X96)
      | c1_1(X96)
      | c0_1(X96)
      | sP36 ),
    inference(cnf_transformation,[],[f287_D]) ).

fof(f287_D,plain,
    ( ! [X96] :
        ( ~ c3_1(X96)
        | c1_1(X96)
        | c0_1(X96) )
  <=> ~ sP36 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP36])]) ).

fof(f144,plain,
    ! [X96,X95] :
      ( hskp28
      | ~ c3_1(X95)
      | ~ c2_1(X95)
      | ~ c1_1(X95)
      | ~ ndr1_0
      | ~ c3_1(X96)
      | c1_1(X96)
      | c0_1(X96)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2259,plain,
    ( ~ spl48_141
    | ~ spl48_139
    | spl48_137
    | ~ spl48_2 ),
    inference(avatar_split_clause,[],[f340,f354,f989,f998,f1006]) ).

fof(f1006,plain,
    ( spl48_141
  <=> sP35 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_141])]) ).

fof(f998,plain,
    ( spl48_139
  <=> sP34 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_139])]) ).

fof(f340,plain,
    ! [X93] :
      ( ~ ndr1_0
      | ~ c1_1(X93)
      | c2_1(X93)
      | c0_1(X93)
      | ~ sP34
      | ~ sP35 ),
    inference(duplicate_literal_removal,[],[f286]) ).

fof(f286,plain,
    ! [X93] :
      ( ~ ndr1_0
      | ~ c1_1(X93)
      | c2_1(X93)
      | c0_1(X93)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP34
      | ~ sP35 ),
    inference(general_splitting,[],[f284,f285_D]) ).

fof(f285,plain,
    ! [X92] :
      ( ~ c1_1(X92)
      | c3_1(X92)
      | c0_1(X92)
      | sP35 ),
    inference(cnf_transformation,[],[f285_D]) ).

fof(f285_D,plain,
    ( ! [X92] :
        ( ~ c1_1(X92)
        | c3_1(X92)
        | c0_1(X92) )
  <=> ~ sP35 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP35])]) ).

fof(f284,plain,
    ! [X92,X93] :
      ( ~ c1_1(X92)
      | c3_1(X92)
      | c0_1(X92)
      | ~ ndr1_0
      | ~ c1_1(X93)
      | c2_1(X93)
      | c0_1(X93)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP34 ),
    inference(general_splitting,[],[f145,f283_D]) ).

fof(f283,plain,
    ! [X94] :
      ( c3_1(X94)
      | c2_1(X94)
      | c0_1(X94)
      | sP34 ),
    inference(cnf_transformation,[],[f283_D]) ).

fof(f283_D,plain,
    ( ! [X94] :
        ( c3_1(X94)
        | c2_1(X94)
        | c0_1(X94) )
  <=> ~ sP34 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP34])]) ).

fof(f145,plain,
    ! [X94,X92,X93] :
      ( ~ c1_1(X92)
      | c3_1(X92)
      | c0_1(X92)
      | ~ ndr1_0
      | ~ c1_1(X93)
      | c2_1(X93)
      | c0_1(X93)
      | ~ ndr1_0
      | c3_1(X94)
      | c2_1(X94)
      | c0_1(X94)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2258,plain,
    ( ~ spl48_138
    | spl48_140
    | ~ spl48_2
    | spl48_28 ),
    inference(avatar_split_clause,[],[f339,f483,f354,f1002,f993]) ).

fof(f993,plain,
    ( spl48_138
  <=> sP33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_138])]) ).

fof(f483,plain,
    ( spl48_28
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_28])]) ).

fof(f339,plain,
    ! [X91] :
      ( hskp6
      | ~ ndr1_0
      | c3_1(X91)
      | c2_1(X91)
      | c0_1(X91)
      | ~ sP33 ),
    inference(duplicate_literal_removal,[],[f282]) ).

fof(f282,plain,
    ! [X91] :
      ( hskp6
      | ~ ndr1_0
      | c3_1(X91)
      | c2_1(X91)
      | c0_1(X91)
      | ~ ndr1_0
      | ~ sP33 ),
    inference(general_splitting,[],[f146,f281_D]) ).

fof(f281,plain,
    ! [X90] :
      ( ~ c3_1(X90)
      | ~ c1_1(X90)
      | ~ c0_1(X90)
      | sP33 ),
    inference(cnf_transformation,[],[f281_D]) ).

fof(f281_D,plain,
    ( ! [X90] :
        ( ~ c3_1(X90)
        | ~ c1_1(X90)
        | ~ c0_1(X90) )
  <=> ~ sP33 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP33])]) ).

fof(f146,plain,
    ! [X90,X91] :
      ( hskp6
      | ~ c3_1(X90)
      | ~ c1_1(X90)
      | ~ c0_1(X90)
      | ~ ndr1_0
      | c3_1(X91)
      | c2_1(X91)
      | c0_1(X91)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2194,plain,
    ( spl48_209
    | spl48_29
    | ~ spl48_157
    | spl48_208 ),
    inference(avatar_split_clause,[],[f1985,f1586,f1079,f487,f1591]) ).

fof(f1591,plain,
    ( spl48_209
  <=> c2_1(a470) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_209])]) ).

fof(f487,plain,
    ( spl48_29
  <=> c0_1(a470) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_29])]) ).

fof(f1079,plain,
    ( spl48_157
  <=> ! [X116] :
        ( c2_1(X116)
        | c0_1(X116)
        | c1_1(X116) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_157])]) ).

fof(f1586,plain,
    ( spl48_208
  <=> c1_1(a470) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_208])]) ).

fof(f1985,plain,
    ( c0_1(a470)
    | c2_1(a470)
    | ~ spl48_157
    | spl48_208 ),
    inference(resolution,[],[f1080,f1588]) ).

fof(f1588,plain,
    ( ~ c1_1(a470)
    | spl48_208 ),
    inference(avatar_component_clause,[],[f1586]) ).

fof(f1080,plain,
    ( ! [X116] :
        ( c1_1(X116)
        | c0_1(X116)
        | c2_1(X116) )
    | ~ spl48_157 ),
    inference(avatar_component_clause,[],[f1079]) ).

fof(f2162,plain,
    ( ~ spl48_59
    | ~ spl48_164
    | spl48_66
    | ~ spl48_89 ),
    inference(avatar_split_clause,[],[f1940,f785,f671,f1160,f635]) ).

fof(f635,plain,
    ( spl48_59
  <=> c0_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_59])]) ).

fof(f785,plain,
    ( spl48_89
  <=> ! [X14] :
        ( ~ c2_1(X14)
        | c3_1(X14)
        | ~ c0_1(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_89])]) ).

fof(f1940,plain,
    ( ~ c2_1(a559)
    | ~ c0_1(a559)
    | spl48_66
    | ~ spl48_89 ),
    inference(resolution,[],[f786,f673]) ).

fof(f786,plain,
    ( ! [X14] :
        ( c3_1(X14)
        | ~ c2_1(X14)
        | ~ c0_1(X14) )
    | ~ spl48_89 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f2112,plain,
    ( ~ spl48_212
    | ~ spl48_215
    | ~ spl48_89
    | spl48_214 ),
    inference(avatar_split_clause,[],[f1933,f1632,f785,f1638,f1610]) ).

fof(f1933,plain,
    ( ~ c2_1(a467)
    | ~ c0_1(a467)
    | ~ spl48_89
    | spl48_214 ),
    inference(resolution,[],[f786,f1634]) ).

fof(f2111,plain,
    ( ~ spl48_103
    | ~ spl48_2
    | spl48_211
    | spl48_12 ),
    inference(avatar_split_clause,[],[f320,f404,f1606,f354,f842]) ).

fof(f842,plain,
    ( spl48_103
  <=> sP10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_103])]) ).

fof(f320,plain,
    ! [X35] :
      ( hskp12
      | ~ c3_1(X35)
      | ~ c0_1(X35)
      | c2_1(X35)
      | ~ ndr1_0
      | ~ sP10 ),
    inference(duplicate_literal_removal,[],[f236]) ).

fof(f236,plain,
    ! [X35] :
      ( hskp12
      | ~ c3_1(X35)
      | ~ c0_1(X35)
      | c2_1(X35)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP10 ),
    inference(general_splitting,[],[f178,f235_D]) ).

fof(f235,plain,
    ! [X36] :
      ( ~ c2_1(X36)
      | ~ c0_1(X36)
      | c1_1(X36)
      | sP10 ),
    inference(cnf_transformation,[],[f235_D]) ).

fof(f235_D,plain,
    ( ! [X36] :
        ( ~ c2_1(X36)
        | ~ c0_1(X36)
        | c1_1(X36) )
  <=> ~ sP10 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP10])]) ).

fof(f178,plain,
    ! [X36,X35] :
      ( hskp12
      | ~ c3_1(X35)
      | ~ c0_1(X35)
      | c2_1(X35)
      | ~ ndr1_0
      | ~ c2_1(X36)
      | ~ c0_1(X36)
      | c1_1(X36)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2085,plain,
    ( ~ spl48_62
    | ~ spl48_164
    | spl48_66
    | ~ spl48_95 ),
    inference(avatar_split_clause,[],[f1654,f809,f671,f1160,f650]) ).

fof(f1654,plain,
    ( ~ c2_1(a559)
    | ~ c1_1(a559)
    | spl48_66
    | ~ spl48_95 ),
    inference(resolution,[],[f810,f673]) ).

fof(f1997,plain,
    ( ~ spl48_55
    | spl48_69
    | spl48_70
    | ~ spl48_180 ),
    inference(avatar_split_clause,[],[f1891,f1345,f692,f687,f614]) ).

fof(f614,plain,
    ( spl48_55
  <=> c2_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_55])]) ).

fof(f687,plain,
    ( spl48_69
  <=> c0_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_69])]) ).

fof(f692,plain,
    ( spl48_70
  <=> c3_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_70])]) ).

fof(f1345,plain,
    ( spl48_180
  <=> ! [X69] :
        ( ~ c2_1(X69)
        | c0_1(X69)
        | c3_1(X69) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_180])]) ).

fof(f1891,plain,
    ( c0_1(a478)
    | ~ c2_1(a478)
    | spl48_70
    | ~ spl48_180 ),
    inference(resolution,[],[f1346,f694]) ).

fof(f694,plain,
    ( ~ c3_1(a478)
    | spl48_70 ),
    inference(avatar_component_clause,[],[f692]) ).

fof(f1346,plain,
    ( ! [X69] :
        ( c3_1(X69)
        | c0_1(X69)
        | ~ c2_1(X69) )
    | ~ spl48_180 ),
    inference(avatar_component_clause,[],[f1345]) ).

fof(f1977,plain,
    ( ~ spl48_216
    | spl48_27
    | ~ spl48_180
    | spl48_185 ),
    inference(avatar_split_clause,[],[f1888,f1376,f1345,f478,f1878]) ).

fof(f1878,plain,
    ( spl48_216
  <=> c2_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_216])]) ).

fof(f478,plain,
    ( spl48_27
  <=> c0_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_27])]) ).

fof(f1376,plain,
    ( spl48_185
  <=> c3_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_185])]) ).

fof(f1888,plain,
    ( c0_1(a466)
    | ~ c2_1(a466)
    | ~ spl48_180
    | spl48_185 ),
    inference(resolution,[],[f1346,f1378]) ).

fof(f1378,plain,
    ( ~ c3_1(a466)
    | spl48_185 ),
    inference(avatar_component_clause,[],[f1376]) ).

fof(f1966,plain,
    ( ~ spl48_81
    | spl48_198
    | ~ spl48_180
    | spl48_182 ),
    inference(avatar_split_clause,[],[f1886,f1354,f1345,f1479,f750]) ).

fof(f750,plain,
    ( spl48_81
  <=> c2_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_81])]) ).

fof(f1479,plain,
    ( spl48_198
  <=> c0_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_198])]) ).

fof(f1354,plain,
    ( spl48_182
  <=> c3_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_182])]) ).

fof(f1886,plain,
    ( c0_1(a463)
    | ~ c2_1(a463)
    | ~ spl48_180
    | spl48_182 ),
    inference(resolution,[],[f1346,f1356]) ).

fof(f1356,plain,
    ( ~ c3_1(a463)
    | spl48_182 ),
    inference(avatar_component_clause,[],[f1354]) ).

fof(f1949,plain,
    ( ~ spl48_112
    | ~ spl48_2
    | spl48_218
    | spl48_4 ),
    inference(avatar_split_clause,[],[f324,f364,f1947,f354,f879]) ).

fof(f879,plain,
    ( spl48_112
  <=> sP15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_112])]) ).

fof(f364,plain,
    ( spl48_4
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_4])]) ).

fof(f324,plain,
    ! [X49] :
      ( hskp2
      | ~ c3_1(X49)
      | ~ c2_1(X49)
      | c1_1(X49)
      | ~ ndr1_0
      | ~ sP15 ),
    inference(duplicate_literal_removal,[],[f246]) ).

fof(f246,plain,
    ! [X49] :
      ( hskp2
      | ~ c3_1(X49)
      | ~ c2_1(X49)
      | c1_1(X49)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP15 ),
    inference(general_splitting,[],[f169,f245_D]) ).

fof(f245,plain,
    ! [X50] :
      ( c3_1(X50)
      | c2_1(X50)
      | c1_1(X50)
      | sP15 ),
    inference(cnf_transformation,[],[f245_D]) ).

fof(f245_D,plain,
    ( ! [X50] :
        ( c3_1(X50)
        | c2_1(X50)
        | c1_1(X50) )
  <=> ~ sP15 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP15])]) ).

fof(f169,plain,
    ! [X50,X49] :
      ( hskp2
      | ~ c3_1(X49)
      | ~ c2_1(X49)
      | c1_1(X49)
      | ~ ndr1_0
      | c3_1(X50)
      | c2_1(X50)
      | c1_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1924,plain,
    ( ~ spl48_86
    | spl48_89
    | ~ spl48_2
    | spl48_7 ),
    inference(avatar_split_clause,[],[f312,f379,f354,f785,f773]) ).

fof(f773,plain,
    ( spl48_86
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_86])]) ).

fof(f379,plain,
    ( spl48_7
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_7])]) ).

fof(f312,plain,
    ! [X12] :
      ( hskp7
      | ~ ndr1_0
      | ~ c2_1(X12)
      | ~ c0_1(X12)
      | c3_1(X12)
      | ~ sP1 ),
    inference(duplicate_literal_removal,[],[f218]) ).

fof(f218,plain,
    ! [X12] :
      ( hskp7
      | ~ ndr1_0
      | ~ c2_1(X12)
      | ~ c0_1(X12)
      | c3_1(X12)
      | ~ ndr1_0
      | ~ sP1 ),
    inference(general_splitting,[],[f193,f217_D]) ).

fof(f217,plain,
    ! [X11] :
      ( ~ c3_1(X11)
      | ~ c2_1(X11)
      | ~ c1_1(X11)
      | sP1 ),
    inference(cnf_transformation,[],[f217_D]) ).

fof(f217_D,plain,
    ( ! [X11] :
        ( ~ c3_1(X11)
        | ~ c2_1(X11)
        | ~ c1_1(X11) )
  <=> ~ sP1 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f193,plain,
    ! [X11,X12] :
      ( hskp7
      | ~ c3_1(X11)
      | ~ c2_1(X11)
      | ~ c1_1(X11)
      | ~ ndr1_0
      | ~ c2_1(X12)
      | ~ c0_1(X12)
      | c3_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1904,plain,
    ( spl48_166
    | spl48_217
    | ~ spl48_111
    | spl48_167 ),
    inference(avatar_split_clause,[],[f1854,f1182,f875,f1901,f1177]) ).

fof(f1854,plain,
    ( c1_1(a521)
    | c2_1(a521)
    | ~ spl48_111
    | spl48_167 ),
    inference(resolution,[],[f876,f1184]) ).

fof(f876,plain,
    ( ! [X48] :
        ( c3_1(X48)
        | c1_1(X48)
        | c2_1(X48) )
    | ~ spl48_111 ),
    inference(avatar_component_clause,[],[f875]) ).

fof(f1881,plain,
    ( spl48_216
    | spl48_184
    | ~ spl48_111
    | spl48_185 ),
    inference(avatar_split_clause,[],[f1848,f1376,f875,f1371,f1878]) ).

fof(f1371,plain,
    ( spl48_184
  <=> c1_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_184])]) ).

fof(f1848,plain,
    ( c1_1(a466)
    | c2_1(a466)
    | ~ spl48_111
    | spl48_185 ),
    inference(resolution,[],[f876,f1378]) ).

fof(f1876,plain,
    ( ~ spl48_2
    | spl48_180
    | spl48_7
    | spl48_16 ),
    inference(avatar_split_clause,[],[f159,f424,f379,f1345,f354]) ).

fof(f159,plain,
    ! [X68] :
      ( hskp16
      | hskp7
      | ~ c2_1(X68)
      | c3_1(X68)
      | c0_1(X68)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1859,plain,
    ( ~ spl48_176
    | spl48_195
    | ~ spl48_102
    | ~ spl48_177 ),
    inference(avatar_split_clause,[],[f1834,f1305,f838,f1458,f1300]) ).

fof(f1458,plain,
    ( spl48_195
  <=> c1_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_195])]) ).

fof(f838,plain,
    ( spl48_102
  <=> ! [X34] :
        ( ~ c3_1(X34)
        | c1_1(X34)
        | ~ c0_1(X34) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_102])]) ).

fof(f1305,plain,
    ( spl48_177
  <=> c3_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_177])]) ).

fof(f1834,plain,
    ( c1_1(a471)
    | ~ c0_1(a471)
    | ~ spl48_102
    | ~ spl48_177 ),
    inference(resolution,[],[f839,f1307]) ).

fof(f1307,plain,
    ( c3_1(a471)
    | ~ spl48_177 ),
    inference(avatar_component_clause,[],[f1305]) ).

fof(f839,plain,
    ( ! [X34] :
        ( ~ c3_1(X34)
        | c1_1(X34)
        | ~ c0_1(X34) )
    | ~ spl48_102 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f1816,plain,
    ( ~ spl48_105
    | spl48_114
    | ~ spl48_2
    | spl48_4 ),
    inference(avatar_split_clause,[],[f321,f364,f354,f888,f850]) ).

fof(f850,plain,
    ( spl48_105
  <=> sP11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_105])]) ).

fof(f321,plain,
    ! [X41] :
      ( hskp2
      | ~ ndr1_0
      | ~ c0_1(X41)
      | c3_1(X41)
      | c1_1(X41)
      | ~ sP11 ),
    inference(duplicate_literal_removal,[],[f238]) ).

fof(f238,plain,
    ! [X41] :
      ( hskp2
      | ~ ndr1_0
      | ~ c0_1(X41)
      | c3_1(X41)
      | c1_1(X41)
      | ~ ndr1_0
      | ~ sP11 ),
    inference(general_splitting,[],[f174,f237_D]) ).

fof(f237,plain,
    ! [X40] :
      ( ~ c3_1(X40)
      | ~ c1_1(X40)
      | ~ c0_1(X40)
      | sP11 ),
    inference(cnf_transformation,[],[f237_D]) ).

fof(f237_D,plain,
    ( ! [X40] :
        ( ~ c3_1(X40)
        | ~ c1_1(X40)
        | ~ c0_1(X40) )
  <=> ~ sP11 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP11])]) ).

fof(f174,plain,
    ! [X40,X41] :
      ( hskp2
      | ~ c3_1(X40)
      | ~ c1_1(X40)
      | ~ c0_1(X40)
      | ~ ndr1_0
      | ~ c0_1(X41)
      | c3_1(X41)
      | c1_1(X41)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1807,plain,
    ( ~ spl48_46
    | ~ spl48_51
    | ~ spl48_87
    | ~ spl48_95 ),
    inference(avatar_contradiction_clause,[],[f1806]) ).

fof(f1806,plain,
    ( $false
    | ~ spl48_46
    | ~ spl48_51
    | ~ spl48_87
    | ~ spl48_95 ),
    inference(resolution,[],[f1789,f595]) ).

fof(f595,plain,
    ( c2_1(a474)
    | ~ spl48_51 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f593,plain,
    ( spl48_51
  <=> c2_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_51])]) ).

fof(f1789,plain,
    ( ~ c2_1(a474)
    | ~ spl48_46
    | ~ spl48_87
    | ~ spl48_95 ),
    inference(resolution,[],[f1779,f569]) ).

fof(f1779,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl48_87
    | ~ spl48_95 ),
    inference(duplicate_literal_removal,[],[f1769]) ).

fof(f1769,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl48_87
    | ~ spl48_95 ),
    inference(resolution,[],[f778,f810]) ).

fof(f1766,plain,
    ( ~ spl48_99
    | ~ spl48_2
    | spl48_109
    | spl48_1 ),
    inference(avatar_split_clause,[],[f318,f350,f867,f354,f826]) ).

fof(f826,plain,
    ( spl48_99
  <=> sP8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_99])]) ).

fof(f350,plain,
    ( spl48_1
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_1])]) ).

fof(f318,plain,
    ! [X30] :
      ( hskp0
      | ~ c1_1(X30)
      | c3_1(X30)
      | c2_1(X30)
      | ~ ndr1_0
      | ~ sP8 ),
    inference(duplicate_literal_removal,[],[f232]) ).

fof(f232,plain,
    ! [X30] :
      ( hskp0
      | ~ c1_1(X30)
      | c3_1(X30)
      | c2_1(X30)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP8 ),
    inference(general_splitting,[],[f181,f231_D]) ).

fof(f231,plain,
    ! [X31] :
      ( ~ c0_1(X31)
      | c3_1(X31)
      | c2_1(X31)
      | sP8 ),
    inference(cnf_transformation,[],[f231_D]) ).

fof(f231_D,plain,
    ( ! [X31] :
        ( ~ c0_1(X31)
        | c3_1(X31)
        | c2_1(X31) )
  <=> ~ sP8 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP8])]) ).

fof(f181,plain,
    ! [X31,X30] :
      ( hskp0
      | ~ c1_1(X30)
      | c3_1(X30)
      | c2_1(X30)
      | ~ ndr1_0
      | ~ c0_1(X31)
      | c3_1(X31)
      | c2_1(X31)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1713,plain,
    ( ~ spl48_92
    | ~ spl48_90
    | ~ spl48_2
    | spl48_87 ),
    inference(avatar_split_clause,[],[f314,f777,f354,f789,f797]) ).

fof(f797,plain,
    ( spl48_92
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_92])]) ).

fof(f789,plain,
    ( spl48_90
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_90])]) ).

fof(f314,plain,
    ! [X17] :
      ( ~ c3_1(X17)
      | ~ c2_1(X17)
      | ~ c1_1(X17)
      | ~ ndr1_0
      | ~ sP3
      | ~ sP4 ),
    inference(duplicate_literal_removal,[],[f224]) ).

fof(f224,plain,
    ! [X17] :
      ( ~ c3_1(X17)
      | ~ c2_1(X17)
      | ~ c1_1(X17)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP3
      | ~ sP4 ),
    inference(general_splitting,[],[f222,f223_D]) ).

fof(f223,plain,
    ! [X19] :
      ( ~ c1_1(X19)
      | ~ c0_1(X19)
      | c3_1(X19)
      | sP4 ),
    inference(cnf_transformation,[],[f223_D]) ).

fof(f223_D,plain,
    ( ! [X19] :
        ( ~ c1_1(X19)
        | ~ c0_1(X19)
        | c3_1(X19) )
  <=> ~ sP4 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).

fof(f222,plain,
    ! [X19,X17] :
      ( ~ c3_1(X17)
      | ~ c2_1(X17)
      | ~ c1_1(X17)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c1_1(X19)
      | ~ c0_1(X19)
      | c3_1(X19)
      | ~ ndr1_0
      | ~ sP3 ),
    inference(general_splitting,[],[f189,f221_D]) ).

fof(f221,plain,
    ! [X18] :
      ( ~ c3_1(X18)
      | ~ c2_1(X18)
      | ~ c0_1(X18)
      | sP3 ),
    inference(cnf_transformation,[],[f221_D]) ).

fof(f221_D,plain,
    ( ! [X18] :
        ( ~ c3_1(X18)
        | ~ c2_1(X18)
        | ~ c0_1(X18) )
  <=> ~ sP3 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).

fof(f189,plain,
    ! [X18,X19,X17] :
      ( ~ c3_1(X17)
      | ~ c2_1(X17)
      | ~ c1_1(X17)
      | ~ ndr1_0
      | ~ c3_1(X18)
      | ~ c2_1(X18)
      | ~ c0_1(X18)
      | ~ ndr1_0
      | ~ c1_1(X19)
      | ~ c0_1(X19)
      | c3_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1700,plain,
    ( ~ spl48_76
    | ~ spl48_161
    | ~ spl48_77
    | ~ spl48_85 ),
    inference(avatar_split_clause,[],[f1686,f769,f729,f1122,f724]) ).

fof(f1686,plain,
    ( ~ c0_1(a472)
    | ~ c1_1(a472)
    | ~ spl48_77
    | ~ spl48_85 ),
    inference(resolution,[],[f731,f770]) ).

fof(f1642,plain,
    ( ~ spl48_2
    | spl48_95
    | spl48_32
    | spl48_30 ),
    inference(avatar_split_clause,[],[f194,f492,f501,f809,f354]) ).

fof(f492,plain,
    ( spl48_30
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_30])]) ).

fof(f194,plain,
    ! [X10] :
      ( hskp17
      | hskp18
      | ~ c2_1(X10)
      | ~ c1_1(X10)
      | c3_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1641,plain,
    ( ~ spl48_212
    | spl48_215
    | ~ spl48_100
    | spl48_214 ),
    inference(avatar_split_clause,[],[f1636,f1632,f830,f1638,f1610]) ).

fof(f1636,plain,
    ( c2_1(a467)
    | ~ c0_1(a467)
    | ~ spl48_100
    | spl48_214 ),
    inference(resolution,[],[f1634,f831]) ).

fof(f831,plain,
    ( ! [X31] :
        ( c3_1(X31)
        | c2_1(X31)
        | ~ c0_1(X31) )
    | ~ spl48_100 ),
    inference(avatar_component_clause,[],[f830]) ).

fof(f1635,plain,
    ( ~ spl48_6
    | ~ spl48_214 ),
    inference(avatar_split_clause,[],[f30,f1632,f374]) ).

fof(f30,plain,
    ( ~ c3_1(a467)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1630,plain,
    ( ~ spl48_6
    | ~ spl48_213 ),
    inference(avatar_split_clause,[],[f29,f1627,f374]) ).

fof(f29,plain,
    ( ~ c1_1(a467)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1625,plain,
    ( ~ spl48_176
    | spl48_178
    | ~ spl48_177
    | ~ spl48_211 ),
    inference(avatar_split_clause,[],[f1617,f1606,f1305,f1310,f1300]) ).

fof(f1617,plain,
    ( c2_1(a471)
    | ~ c0_1(a471)
    | ~ spl48_177
    | ~ spl48_211 ),
    inference(resolution,[],[f1607,f1307]) ).

fof(f1613,plain,
    ( ~ spl48_6
    | spl48_212 ),
    inference(avatar_split_clause,[],[f28,f1610,f374]) ).

fof(f28,plain,
    ( c0_1(a467)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1608,plain,
    ( ~ spl48_2
    | spl48_211
    | spl48_6
    | spl48_30 ),
    inference(avatar_split_clause,[],[f188,f492,f374,f1606,f354]) ).

fof(f188,plain,
    ! [X20] :
      ( hskp17
      | hskp5
      | ~ c3_1(X20)
      | ~ c0_1(X20)
      | c2_1(X20)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1594,plain,
    ( ~ spl48_28
    | ~ spl48_209 ),
    inference(avatar_split_clause,[],[f34,f1591,f483]) ).

fof(f34,plain,
    ( ~ c2_1(a470)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1589,plain,
    ( ~ spl48_28
    | ~ spl48_208 ),
    inference(avatar_split_clause,[],[f33,f1586,f483]) ).

fof(f33,plain,
    ( ~ c1_1(a470)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1584,plain,
    ( ~ spl48_31
    | spl48_194
    | ~ spl48_117
    | ~ spl48_193 ),
    inference(avatar_split_clause,[],[f1521,f1443,f901,f1448,f496]) ).

fof(f496,plain,
    ( spl48_31
  <=> c2_1(a493) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_31])]) ).

fof(f1448,plain,
    ( spl48_194
  <=> c0_1(a493) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_194])]) ).

fof(f1443,plain,
    ( spl48_193
  <=> c3_1(a493) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_193])]) ).

fof(f1521,plain,
    ( c0_1(a493)
    | ~ c2_1(a493)
    | ~ spl48_117
    | ~ spl48_193 ),
    inference(resolution,[],[f902,f1445]) ).

fof(f1445,plain,
    ( c3_1(a493)
    | ~ spl48_193 ),
    inference(avatar_component_clause,[],[f1443]) ).

fof(f902,plain,
    ( ! [X57] :
        ( ~ c3_1(X57)
        | c0_1(X57)
        | ~ c2_1(X57) )
    | ~ spl48_117 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f1555,plain,
    ( ~ spl48_11
    | ~ spl48_203 ),
    inference(avatar_split_clause,[],[f54,f1552,f399]) ).

fof(f399,plain,
    ( spl48_11
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_11])]) ).

fof(f54,plain,
    ( ~ c1_1(a479)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1546,plain,
    ( ~ spl48_38
    | ~ spl48_202 ),
    inference(avatar_split_clause,[],[f106,f1543,f528]) ).

fof(f528,plain,
    ( spl48_38
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_38])]) ).

fof(f106,plain,
    ( ~ c2_1(a525)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1541,plain,
    ( ~ spl48_38
    | spl48_201 ),
    inference(avatar_split_clause,[],[f105,f1538,f528]) ).

fof(f105,plain,
    ( c1_1(a525)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1536,plain,
    ( ~ spl48_2
    | spl48_93
    | spl48_38
    | spl48_8 ),
    inference(avatar_split_clause,[],[f190,f384,f528,f801,f354]) ).

fof(f190,plain,
    ! [X16] :
      ( hskp8
      | hskp24
      | ~ c1_1(X16)
      | ~ c0_1(X16)
      | c3_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1531,plain,
    ( ~ spl48_2
    | spl48_123
    | spl48_32
    | spl48_17 ),
    inference(avatar_split_clause,[],[f171,f429,f501,f927,f354]) ).

fof(f429,plain,
    ( spl48_17
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_17])]) ).

fof(f171,plain,
    ! [X46] :
      ( hskp19
      | hskp18
      | ~ c0_1(X46)
      | c2_1(X46)
      | c1_1(X46)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1511,plain,
    ( ~ spl48_33
    | spl48_190
    | ~ spl48_100
    | spl48_191 ),
    inference(avatar_split_clause,[],[f1434,f1430,f830,f1425,f505]) ).

fof(f1425,plain,
    ( spl48_190
  <=> c2_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_190])]) ).

fof(f1434,plain,
    ( c2_1(a494)
    | ~ c0_1(a494)
    | ~ spl48_100
    | spl48_191 ),
    inference(resolution,[],[f1432,f831]) ).

fof(f1506,plain,
    ( ~ spl48_20
    | ~ spl48_163 ),
    inference(avatar_split_clause,[],[f110,f1140,f444]) ).

fof(f444,plain,
    ( spl48_20
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_20])]) ).

fof(f110,plain,
    ( ~ c0_1(a545)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1505,plain,
    ( ~ spl48_169
    | spl48_170
    | ~ spl48_73
    | ~ spl48_173 ),
    inference(avatar_split_clause,[],[f1416,f1276,f708,f1208,f1203]) ).

fof(f1203,plain,
    ( spl48_169
  <=> c2_1(a483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_169])]) ).

fof(f1208,plain,
    ( spl48_170
  <=> c0_1(a483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_170])]) ).

fof(f708,plain,
    ( spl48_73
  <=> c1_1(a483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_73])]) ).

fof(f1416,plain,
    ( c0_1(a483)
    | ~ c2_1(a483)
    | ~ spl48_73
    | ~ spl48_173 ),
    inference(resolution,[],[f1277,f710]) ).

fof(f710,plain,
    ( c1_1(a483)
    | ~ spl48_73 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f1488,plain,
    ( ~ spl48_199
    | spl48_188
    | ~ spl48_50
    | ~ spl48_173 ),
    inference(avatar_split_clause,[],[f1415,f1276,f588,f1398,f1485]) ).

fof(f1415,plain,
    ( c0_1(a481)
    | ~ c2_1(a481)
    | ~ spl48_50
    | ~ spl48_173 ),
    inference(resolution,[],[f1277,f590]) ).

fof(f1482,plain,
    ( ~ spl48_198
    | ~ spl48_81
    | ~ spl48_104
    | spl48_181 ),
    inference(avatar_split_clause,[],[f1359,f1349,f846,f750,f1479]) ).

fof(f1349,plain,
    ( spl48_181
  <=> c1_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_181])]) ).

fof(f1359,plain,
    ( ~ c2_1(a463)
    | ~ c0_1(a463)
    | ~ spl48_104
    | spl48_181 ),
    inference(resolution,[],[f1351,f847]) ).

fof(f1351,plain,
    ( ~ c1_1(a463)
    | spl48_181 ),
    inference(avatar_component_clause,[],[f1349]) ).

fof(f1461,plain,
    ( ~ spl48_195
    | ~ spl48_176
    | ~ spl48_85
    | ~ spl48_177 ),
    inference(avatar_split_clause,[],[f1318,f1305,f769,f1300,f1458]) ).

fof(f1318,plain,
    ( ~ c0_1(a471)
    | ~ c1_1(a471)
    | ~ spl48_85
    | ~ spl48_177 ),
    inference(resolution,[],[f1307,f770]) ).

fof(f1451,plain,
    ( ~ spl48_30
    | ~ spl48_194 ),
    inference(avatar_split_clause,[],[f78,f1448,f492]) ).

fof(f78,plain,
    ( ~ c0_1(a493)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1446,plain,
    ( ~ spl48_30
    | spl48_193 ),
    inference(avatar_split_clause,[],[f77,f1443,f492]) ).

fof(f77,plain,
    ( c3_1(a493)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1433,plain,
    ( ~ spl48_32
    | ~ spl48_191 ),
    inference(avatar_split_clause,[],[f82,f1430,f501]) ).

fof(f82,plain,
    ( ~ c3_1(a494)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1428,plain,
    ( ~ spl48_32
    | ~ spl48_190 ),
    inference(avatar_split_clause,[],[f81,f1425,f501]) ).

fof(f81,plain,
    ( ~ c2_1(a494)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1423,plain,
    ( ~ spl48_2
    | spl48_117
    | spl48_32
    | spl48_28 ),
    inference(avatar_split_clause,[],[f167,f483,f501,f901,f354]) ).

fof(f167,plain,
    ! [X53] :
      ( hskp6
      | hskp18
      | ~ c3_1(X53)
      | ~ c2_1(X53)
      | c0_1(X53)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1406,plain,
    ( ~ spl48_12
    | ~ spl48_189 ),
    inference(avatar_split_clause,[],[f58,f1403,f404]) ).

fof(f58,plain,
    ( ~ c3_1(a481)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1401,plain,
    ( ~ spl48_12
    | ~ spl48_188 ),
    inference(avatar_split_clause,[],[f57,f1398,f404]) ).

fof(f57,plain,
    ( ~ c0_1(a481)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1391,plain,
    ( ~ spl48_11
    | spl48_186 ),
    inference(avatar_split_clause,[],[f52,f1388,f399]) ).

fof(f52,plain,
    ( c0_1(a479)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1386,plain,
    ( spl48_11
    | spl48_12
    | spl48_9 ),
    inference(avatar_split_clause,[],[f211,f389,f404,f399]) ).

fof(f211,plain,
    ( hskp9
    | hskp12
    | hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1385,plain,
    ( spl48_48
    | spl48_158
    | ~ spl48_45
    | ~ spl48_143 ),
    inference(avatar_split_clause,[],[f1246,f1015,f562,f1092,f577]) ).

fof(f1092,plain,
    ( spl48_158
  <=> c0_1(a477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_158])]) ).

fof(f1015,plain,
    ( spl48_143
  <=> ! [X96] :
        ( ~ c3_1(X96)
        | c0_1(X96)
        | c1_1(X96) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_143])]) ).

fof(f1246,plain,
    ( c0_1(a477)
    | c1_1(a477)
    | ~ spl48_45
    | ~ spl48_143 ),
    inference(resolution,[],[f1016,f564]) ).

fof(f1016,plain,
    ( ! [X96] :
        ( ~ c3_1(X96)
        | c0_1(X96)
        | c1_1(X96) )
    | ~ spl48_143 ),
    inference(avatar_component_clause,[],[f1015]) ).

fof(f1379,plain,
    ( ~ spl48_26
    | ~ spl48_185 ),
    inference(avatar_split_clause,[],[f26,f1376,f474]) ).

fof(f26,plain,
    ( ~ c3_1(a466)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1374,plain,
    ( ~ spl48_26
    | ~ spl48_184 ),
    inference(avatar_split_clause,[],[f25,f1371,f474]) ).

fof(f25,plain,
    ( ~ c1_1(a466)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1363,plain,
    ( spl48_53
    | spl48_52
    | ~ spl48_49
    | ~ spl48_143 ),
    inference(avatar_split_clause,[],[f1245,f1015,f583,f598,f603]) ).

fof(f603,plain,
    ( spl48_53
  <=> c1_1(a465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_53])]) ).

fof(f598,plain,
    ( spl48_52
  <=> c0_1(a465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_52])]) ).

fof(f583,plain,
    ( spl48_49
  <=> c3_1(a465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_49])]) ).

fof(f1245,plain,
    ( c0_1(a465)
    | c1_1(a465)
    | ~ spl48_49
    | ~ spl48_143 ),
    inference(resolution,[],[f1016,f585]) ).

fof(f585,plain,
    ( c3_1(a465)
    | ~ spl48_49 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f1357,plain,
    ( ~ spl48_3
    | ~ spl48_182 ),
    inference(avatar_split_clause,[],[f14,f1354,f359]) ).

fof(f359,plain,
    ( spl48_3
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_3])]) ).

fof(f14,plain,
    ( ~ c3_1(a463)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1352,plain,
    ( ~ spl48_3
    | ~ spl48_181 ),
    inference(avatar_split_clause,[],[f13,f1349,f359]) ).

fof(f13,plain,
    ( ~ c1_1(a463)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1326,plain,
    ( ~ spl48_2
    | spl48_179
    | spl48_6
    | spl48_12 ),
    inference(avatar_split_clause,[],[f154,f404,f374,f1324,f354]) ).

fof(f154,plain,
    ! [X77] :
      ( hskp12
      | hskp5
      | ~ c3_1(X77)
      | c2_1(X77)
      | c0_1(X77)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1322,plain,
    ( spl48_57
    | spl48_159
    | ~ spl48_54
    | ~ spl48_137 ),
    inference(avatar_split_clause,[],[f1235,f989,f609,f1107,f624]) ).

fof(f624,plain,
    ( spl48_57
  <=> c2_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_57])]) ).

fof(f1107,plain,
    ( spl48_159
  <=> c0_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_159])]) ).

fof(f609,plain,
    ( spl48_54
  <=> c1_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_54])]) ).

fof(f1235,plain,
    ( c0_1(a500)
    | c2_1(a500)
    | ~ spl48_54
    | ~ spl48_137 ),
    inference(resolution,[],[f990,f611]) ).

fof(f611,plain,
    ( c1_1(a500)
    | ~ spl48_54 ),
    inference(avatar_component_clause,[],[f609]) ).

fof(f1319,plain,
    ( spl48_160
    | spl48_161
    | ~ spl48_76
    | ~ spl48_137 ),
    inference(avatar_split_clause,[],[f1233,f989,f724,f1122,f1118]) ).

fof(f1233,plain,
    ( c0_1(a472)
    | c2_1(a472)
    | ~ spl48_76
    | ~ spl48_137 ),
    inference(resolution,[],[f990,f726]) ).

fof(f1313,plain,
    ( ~ spl48_7
    | ~ spl48_178 ),
    inference(avatar_split_clause,[],[f38,f1310,f379]) ).

fof(f38,plain,
    ( ~ c2_1(a471)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1308,plain,
    ( ~ spl48_7
    | spl48_177 ),
    inference(avatar_split_clause,[],[f37,f1305,f379]) ).

fof(f37,plain,
    ( c3_1(a471)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1303,plain,
    ( ~ spl48_7
    | spl48_176 ),
    inference(avatar_split_clause,[],[f36,f1300,f379]) ).

fof(f36,plain,
    ( c0_1(a471)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1298,plain,
    ( ~ spl48_2
    | spl48_140
    | spl48_7
    | spl48_8 ),
    inference(avatar_split_clause,[],[f147,f384,f379,f1002,f354]) ).

fof(f147,plain,
    ! [X89] :
      ( hskp8
      | hskp7
      | c3_1(X89)
      | c2_1(X89)
      | c0_1(X89)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1291,plain,
    ( ~ spl48_4
    | ~ spl48_175 ),
    inference(avatar_split_clause,[],[f18,f1288,f364]) ).

fof(f18,plain,
    ( ~ c2_1(a464)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1286,plain,
    ( ~ spl48_4
    | ~ spl48_174 ),
    inference(avatar_split_clause,[],[f17,f1283,f364]) ).

fof(f17,plain,
    ( ~ c0_1(a464)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1281,plain,
    ( ~ spl48_2
    | spl48_157
    | spl48_3
    | spl48_4 ),
    inference(avatar_split_clause,[],[f136,f364,f359,f1079,f354]) ).

fof(f136,plain,
    ! [X114] :
      ( hskp2
      | hskp1
      | c2_1(X114)
      | c1_1(X114)
      | c0_1(X114)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1278,plain,
    ( ~ spl48_124
    | spl48_173
    | ~ spl48_2 ),
    inference(avatar_split_clause,[],[f330,f354,f1276,f931]) ).

fof(f931,plain,
    ( spl48_124
  <=> sP23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_124])]) ).

fof(f330,plain,
    ! [X67] :
      ( ~ ndr1_0
      | ~ c2_1(X67)
      | ~ c1_1(X67)
      | c0_1(X67)
      | ~ sP23 ),
    inference(duplicate_literal_removal,[],[f262]) ).

fof(f262,plain,
    ! [X67] :
      ( ~ ndr1_0
      | ~ c2_1(X67)
      | ~ c1_1(X67)
      | c0_1(X67)
      | ~ ndr1_0
      | ~ sP23 ),
    inference(general_splitting,[],[f160,f261_D]) ).

fof(f261,plain,
    ! [X66] :
      ( ~ c0_1(X66)
      | c2_1(X66)
      | c1_1(X66)
      | sP23 ),
    inference(cnf_transformation,[],[f261_D]) ).

fof(f261_D,plain,
    ( ! [X66] :
        ( ~ c0_1(X66)
        | c2_1(X66)
        | c1_1(X66) )
  <=> ~ sP23 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP23])]) ).

fof(f160,plain,
    ! [X66,X67] :
      ( ~ c0_1(X66)
      | c2_1(X66)
      | c1_1(X66)
      | ~ ndr1_0
      | ~ c2_1(X67)
      | ~ c1_1(X67)
      | c0_1(X67)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1268,plain,
    ( spl48_64
    | ~ spl48_60
    | spl48_63
    | ~ spl48_123 ),
    inference(avatar_split_clause,[],[f1198,f927,f655,f640,f660]) ).

fof(f660,plain,
    ( spl48_64
  <=> c2_1(a487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_64])]) ).

fof(f640,plain,
    ( spl48_60
  <=> c0_1(a487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_60])]) ).

fof(f655,plain,
    ( spl48_63
  <=> c1_1(a487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_63])]) ).

fof(f1198,plain,
    ( ~ c0_1(a487)
    | c2_1(a487)
    | spl48_63
    | ~ spl48_123 ),
    inference(resolution,[],[f928,f657]) ).

fof(f657,plain,
    ( ~ c1_1(a487)
    | spl48_63 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f1250,plain,
    ( spl48_79
    | spl48_78
    | spl48_80
    | ~ spl48_111 ),
    inference(avatar_split_clause,[],[f1158,f875,f744,f734,f739]) ).

fof(f1158,plain,
    ( c1_1(a576)
    | c2_1(a576)
    | spl48_80
    | ~ spl48_111 ),
    inference(resolution,[],[f876,f746]) ).

fof(f1211,plain,
    ( ~ spl48_14
    | ~ spl48_170 ),
    inference(avatar_split_clause,[],[f66,f1208,f414]) ).

fof(f414,plain,
    ( spl48_14
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_14])]) ).

fof(f66,plain,
    ( ~ c0_1(a483)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1206,plain,
    ( ~ spl48_14
    | spl48_169 ),
    inference(avatar_split_clause,[],[f65,f1203,f414]) ).

fof(f65,plain,
    ( c2_1(a483)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1201,plain,
    ( ~ spl48_67
    | ~ spl48_72
    | spl48_75
    | ~ spl48_104 ),
    inference(avatar_split_clause,[],[f1145,f846,f718,f703,f677]) ).

fof(f677,plain,
    ( spl48_67
  <=> c0_1(a462) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_67])]) ).

fof(f703,plain,
    ( spl48_72
  <=> c2_1(a462) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_72])]) ).

fof(f718,plain,
    ( spl48_75
  <=> c1_1(a462) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_75])]) ).

fof(f1145,plain,
    ( ~ c2_1(a462)
    | ~ c0_1(a462)
    | spl48_75
    | ~ spl48_104 ),
    inference(resolution,[],[f847,f720]) ).

fof(f720,plain,
    ( ~ c1_1(a462)
    | spl48_75 ),
    inference(avatar_component_clause,[],[f718]) ).

fof(f1185,plain,
    ( ~ spl48_19
    | ~ spl48_167 ),
    inference(avatar_split_clause,[],[f102,f1182,f439]) ).

fof(f102,plain,
    ( ~ c3_1(a521)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1180,plain,
    ( ~ spl48_19
    | ~ spl48_166 ),
    inference(avatar_split_clause,[],[f101,f1177,f439]) ).

fof(f101,plain,
    ( ~ c2_1(a521)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1175,plain,
    ( ~ spl48_19
    | ~ spl48_165 ),
    inference(avatar_split_clause,[],[f100,f1172,f439]) ).

fof(f100,plain,
    ( ~ c0_1(a521)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1170,plain,
    ( ~ spl48_59
    | spl48_164
    | spl48_66
    | ~ spl48_100 ),
    inference(avatar_split_clause,[],[f1131,f830,f671,f1160,f635]) ).

fof(f1131,plain,
    ( c2_1(a559)
    | ~ c0_1(a559)
    | spl48_66
    | ~ spl48_100 ),
    inference(resolution,[],[f831,f673]) ).

fof(f1169,plain,
    ( ~ spl48_51
    | ~ spl48_43
    | ~ spl48_46
    | ~ spl48_98 ),
    inference(avatar_split_clause,[],[f1115,f822,f567,f552,f593]) ).

fof(f1115,plain,
    ( ~ c0_1(a474)
    | ~ c2_1(a474)
    | ~ spl48_46
    | ~ spl48_98 ),
    inference(resolution,[],[f823,f569]) ).

fof(f1163,plain,
    ( ~ spl48_164
    | ~ spl48_59
    | ~ spl48_62
    | ~ spl48_98 ),
    inference(avatar_split_clause,[],[f1114,f822,f650,f635,f1160]) ).

fof(f1114,plain,
    ( ~ c0_1(a559)
    | ~ c2_1(a559)
    | ~ spl48_62
    | ~ spl48_98 ),
    inference(resolution,[],[f823,f652]) ).

fof(f652,plain,
    ( c1_1(a559)
    | ~ spl48_62 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f1116,plain,
    ( ~ spl48_59
    | ~ spl48_62
    | spl48_66
    | ~ spl48_93 ),
    inference(avatar_split_clause,[],[f1101,f801,f671,f650,f635]) ).

fof(f1101,plain,
    ( ~ c1_1(a559)
    | ~ c0_1(a559)
    | spl48_66
    | ~ spl48_93 ),
    inference(resolution,[],[f802,f673]) ).

fof(f1110,plain,
    ( ~ spl48_159
    | ~ spl48_54
    | spl48_58
    | ~ spl48_93 ),
    inference(avatar_split_clause,[],[f1100,f801,f629,f609,f1107]) ).

fof(f629,plain,
    ( spl48_58
  <=> c3_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_58])]) ).

fof(f1100,plain,
    ( ~ c1_1(a500)
    | ~ c0_1(a500)
    | spl48_58
    | ~ spl48_93 ),
    inference(resolution,[],[f802,f631]) ).

fof(f631,plain,
    ( ~ c3_1(a500)
    | spl48_58 ),
    inference(avatar_component_clause,[],[f629]) ).

fof(f1095,plain,
    ( ~ spl48_42
    | ~ spl48_158
    | ~ spl48_45
    | ~ spl48_91 ),
    inference(avatar_split_clause,[],[f1088,f793,f562,f1092,f547]) ).

fof(f1088,plain,
    ( ~ c0_1(a477)
    | ~ c2_1(a477)
    | ~ spl48_45
    | ~ spl48_91 ),
    inference(resolution,[],[f794,f564]) ).

fof(f1032,plain,
    ( spl48_146
    | spl48_100 ),
    inference(avatar_split_clause,[],[f293,f830,f1029]) ).

fof(f1027,plain,
    ( spl48_145
    | spl48_143 ),
    inference(avatar_split_clause,[],[f291,f1015,f1024]) ).

fof(f1022,plain,
    ( spl48_144
    | spl48_143 ),
    inference(avatar_split_clause,[],[f289,f1015,f1019]) ).

fof(f1017,plain,
    ( spl48_142
    | spl48_143 ),
    inference(avatar_split_clause,[],[f287,f1015,f1011]) ).

fof(f1009,plain,
    ( spl48_141
    | spl48_128 ),
    inference(avatar_split_clause,[],[f285,f950,f1006]) ).

fof(f1004,plain,
    ( spl48_139
    | spl48_140 ),
    inference(avatar_split_clause,[],[f283,f1002,f998]) ).

fof(f996,plain,
    ( spl48_138
    | spl48_85 ),
    inference(avatar_split_clause,[],[f281,f769,f993]) ).

fof(f983,plain,
    ( spl48_135
    | spl48_123 ),
    inference(avatar_split_clause,[],[f277,f927,f980]) ).

fof(f973,plain,
    ( spl48_132
    | spl48_133 ),
    inference(avatar_split_clause,[],[f273,f971,f967]) ).

fof(f934,plain,
    ( spl48_124
    | spl48_123 ),
    inference(avatar_split_clause,[],[f261,f927,f931]) ).

fof(f913,plain,
    ( spl48_119
    | spl48_111 ),
    inference(avatar_split_clause,[],[f255,f875,f910]) ).

fof(f908,plain,
    ( spl48_118
    | spl48_93 ),
    inference(avatar_split_clause,[],[f253,f801,f905]) ).

fof(f903,plain,
    ( spl48_116
    | spl48_117 ),
    inference(avatar_split_clause,[],[f251,f901,f897]) ).

fof(f895,plain,
    ( spl48_115
    | spl48_98 ),
    inference(avatar_split_clause,[],[f249,f822,f892]) ).

fof(f890,plain,
    ( spl48_113
    | spl48_114 ),
    inference(avatar_split_clause,[],[f247,f888,f884]) ).

fof(f882,plain,
    ( spl48_112
    | spl48_111 ),
    inference(avatar_split_clause,[],[f245,f875,f879]) ).

fof(f853,plain,
    ( spl48_105
    | spl48_85 ),
    inference(avatar_split_clause,[],[f237,f769,f850]) ).

fof(f848,plain,
    ( spl48_103
    | spl48_104 ),
    inference(avatar_split_clause,[],[f235,f846,f842]) ).

fof(f840,plain,
    ( spl48_101
    | spl48_102 ),
    inference(avatar_split_clause,[],[f233,f838,f834]) ).

fof(f832,plain,
    ( spl48_99
    | spl48_100 ),
    inference(avatar_split_clause,[],[f231,f830,f826]) ).

fof(f824,plain,
    ( spl48_97
    | spl48_98 ),
    inference(avatar_split_clause,[],[f229,f822,f818]) ).

fof(f811,plain,
    ( spl48_94
    | spl48_95 ),
    inference(avatar_split_clause,[],[f225,f809,f805]) ).

fof(f803,plain,
    ( spl48_92
    | spl48_93 ),
    inference(avatar_split_clause,[],[f223,f801,f797]) ).

fof(f795,plain,
    ( spl48_90
    | spl48_91 ),
    inference(avatar_split_clause,[],[f221,f793,f789]) ).

fof(f779,plain,
    ( spl48_86
    | spl48_87 ),
    inference(avatar_split_clause,[],[f217,f777,f773]) ).

fof(f753,plain,
    ( ~ spl48_3
    | spl48_81 ),
    inference(avatar_split_clause,[],[f12,f750,f359]) ).

fof(f12,plain,
    ( c2_1(a463)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f747,plain,
    ( ~ spl48_22
    | ~ spl48_80 ),
    inference(avatar_split_clause,[],[f118,f744,f454]) ).

fof(f454,plain,
    ( spl48_22
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_22])]) ).

fof(f118,plain,
    ( ~ c3_1(a576)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f742,plain,
    ( ~ spl48_22
    | ~ spl48_79 ),
    inference(avatar_split_clause,[],[f117,f739,f454]) ).

fof(f117,plain,
    ( ~ c2_1(a576)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f737,plain,
    ( ~ spl48_22
    | ~ spl48_78 ),
    inference(avatar_split_clause,[],[f116,f734,f454]) ).

fof(f116,plain,
    ( ~ c1_1(a576)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f732,plain,
    ( ~ spl48_8
    | spl48_77 ),
    inference(avatar_split_clause,[],[f41,f729,f384]) ).

fof(f41,plain,
    ( c3_1(a472)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f727,plain,
    ( ~ spl48_8
    | spl48_76 ),
    inference(avatar_split_clause,[],[f40,f724,f384]) ).

fof(f40,plain,
    ( c1_1(a472)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f722,plain,
    ( spl48_7
    | spl48_8
    | spl48_22 ),
    inference(avatar_split_clause,[],[f212,f454,f384,f379]) ).

fof(f212,plain,
    ( hskp27
    | hskp8
    | hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f721,plain,
    ( ~ spl48_1
    | ~ spl48_75 ),
    inference(avatar_split_clause,[],[f10,f718,f350]) ).

fof(f10,plain,
    ( ~ c1_1(a462)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f716,plain,
    ( ~ spl48_20
    | spl48_74 ),
    inference(avatar_split_clause,[],[f109,f713,f444]) ).

fof(f109,plain,
    ( c3_1(a545)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f711,plain,
    ( ~ spl48_14
    | spl48_73 ),
    inference(avatar_split_clause,[],[f64,f708,f414]) ).

fof(f64,plain,
    ( c1_1(a483)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f706,plain,
    ( ~ spl48_1
    | spl48_72 ),
    inference(avatar_split_clause,[],[f9,f703,f350]) ).

fof(f9,plain,
    ( c2_1(a462)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f701,plain,
    ( ~ spl48_20
    | spl48_71 ),
    inference(avatar_split_clause,[],[f108,f698,f444]) ).

fof(f108,plain,
    ( c1_1(a545)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f696,plain,
    ( spl48_1
    | spl48_14
    | spl48_20 ),
    inference(avatar_split_clause,[],[f210,f444,f414,f350]) ).

fof(f210,plain,
    ( hskp25
    | hskp14
    | hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f695,plain,
    ( ~ spl48_10
    | ~ spl48_70 ),
    inference(avatar_split_clause,[],[f50,f692,f394]) ).

fof(f50,plain,
    ( ~ c3_1(a478)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f690,plain,
    ( ~ spl48_10
    | ~ spl48_69 ),
    inference(avatar_split_clause,[],[f49,f687,f394]) ).

fof(f49,plain,
    ( ~ c0_1(a478)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f685,plain,
    ( ~ spl48_24
    | spl48_68 ),
    inference(avatar_split_clause,[],[f128,f682,f464]) ).

fof(f128,plain,
    ( c1_1(a488)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f680,plain,
    ( ~ spl48_1
    | spl48_67 ),
    inference(avatar_split_clause,[],[f8,f677,f350]) ).

fof(f8,plain,
    ( c0_1(a462)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f674,plain,
    ( ~ spl48_21
    | ~ spl48_66 ),
    inference(avatar_split_clause,[],[f114,f671,f449]) ).

fof(f449,plain,
    ( spl48_21
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_21])]) ).

fof(f114,plain,
    ( ~ c3_1(a559)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f669,plain,
    ( ~ spl48_4
    | spl48_65 ),
    inference(avatar_split_clause,[],[f16,f666,f364]) ).

fof(f16,plain,
    ( c3_1(a464)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f664,plain,
    ( spl48_21
    | spl48_4
    | spl48_19 ),
    inference(avatar_split_clause,[],[f208,f439,f364,f449]) ).

fof(f208,plain,
    ( hskp23
    | hskp2
    | hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f663,plain,
    ( ~ spl48_16
    | ~ spl48_64 ),
    inference(avatar_split_clause,[],[f74,f660,f424]) ).

fof(f74,plain,
    ( ~ c2_1(a487)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f658,plain,
    ( ~ spl48_16
    | ~ spl48_63 ),
    inference(avatar_split_clause,[],[f73,f655,f424]) ).

fof(f73,plain,
    ( ~ c1_1(a487)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f653,plain,
    ( ~ spl48_21
    | spl48_62 ),
    inference(avatar_split_clause,[],[f113,f650,f449]) ).

fof(f113,plain,
    ( c1_1(a559)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f643,plain,
    ( ~ spl48_16
    | spl48_60 ),
    inference(avatar_split_clause,[],[f72,f640,f424]) ).

fof(f72,plain,
    ( c0_1(a487)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f638,plain,
    ( ~ spl48_21
    | spl48_59 ),
    inference(avatar_split_clause,[],[f112,f635,f449]) ).

fof(f112,plain,
    ( c0_1(a559)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f633,plain,
    ( spl48_21
    | spl48_16
    | spl48_13 ),
    inference(avatar_split_clause,[],[f207,f409,f424,f449]) ).

fof(f409,plain,
    ( spl48_13
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_13])]) ).

fof(f207,plain,
    ( hskp13
    | hskp16
    | hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f632,plain,
    ( ~ spl48_17
    | ~ spl48_58 ),
    inference(avatar_split_clause,[],[f86,f629,f429]) ).

fof(f86,plain,
    ( ~ c3_1(a500)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f627,plain,
    ( ~ spl48_17
    | ~ spl48_57 ),
    inference(avatar_split_clause,[],[f85,f624,f429]) ).

fof(f85,plain,
    ( ~ c2_1(a500)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f617,plain,
    ( ~ spl48_10
    | spl48_55 ),
    inference(avatar_split_clause,[],[f48,f614,f394]) ).

fof(f48,plain,
    ( c2_1(a478)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f612,plain,
    ( ~ spl48_17
    | spl48_54 ),
    inference(avatar_split_clause,[],[f84,f609,f429]) ).

fof(f84,plain,
    ( c1_1(a500)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f606,plain,
    ( ~ spl48_5
    | ~ spl48_53 ),
    inference(avatar_split_clause,[],[f22,f603,f369]) ).

fof(f369,plain,
    ( spl48_5
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_5])]) ).

fof(f22,plain,
    ( ~ c1_1(a465)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f601,plain,
    ( ~ spl48_5
    | ~ spl48_52 ),
    inference(avatar_split_clause,[],[f21,f598,f369]) ).

fof(f21,plain,
    ( ~ c0_1(a465)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f596,plain,
    ( ~ spl48_23
    | spl48_51 ),
    inference(avatar_split_clause,[],[f126,f593,f459]) ).

fof(f126,plain,
    ( c2_1(a474)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f591,plain,
    ( ~ spl48_12
    | spl48_50 ),
    inference(avatar_split_clause,[],[f56,f588,f404]) ).

fof(f56,plain,
    ( c1_1(a481)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f586,plain,
    ( ~ spl48_5
    | spl48_49 ),
    inference(avatar_split_clause,[],[f20,f583,f369]) ).

fof(f20,plain,
    ( c3_1(a465)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f581,plain,
    ( spl48_23
    | spl48_12
    | spl48_5 ),
    inference(avatar_split_clause,[],[f205,f369,f404,f459]) ).

fof(f205,plain,
    ( hskp3
    | hskp12
    | hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f580,plain,
    ( ~ spl48_9
    | ~ spl48_48 ),
    inference(avatar_split_clause,[],[f46,f577,f389]) ).

fof(f46,plain,
    ( ~ c1_1(a477)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f570,plain,
    ( ~ spl48_23
    | spl48_46 ),
    inference(avatar_split_clause,[],[f125,f567,f459]) ).

fof(f125,plain,
    ( c1_1(a474)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f565,plain,
    ( ~ spl48_9
    | spl48_45 ),
    inference(avatar_split_clause,[],[f45,f562,f389]) ).

fof(f45,plain,
    ( c3_1(a477)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f555,plain,
    ( ~ spl48_23
    | spl48_43 ),
    inference(avatar_split_clause,[],[f124,f552,f459]) ).

fof(f124,plain,
    ( c0_1(a474)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f550,plain,
    ( ~ spl48_9
    | spl48_42 ),
    inference(avatar_split_clause,[],[f44,f547,f389]) ).

fof(f44,plain,
    ( c2_1(a477)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f544,plain,
    ( ~ spl48_40
    | spl48_41 ),
    inference(avatar_split_clause,[],[f120,f541,f537]) ).

fof(f120,plain,
    ( c0_1(a469)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f535,plain,
    ( ~ spl48_38
    | spl48_39 ),
    inference(avatar_split_clause,[],[f104,f532,f528]) ).

fof(f104,plain,
    ( c0_1(a525)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f508,plain,
    ( ~ spl48_32
    | spl48_33 ),
    inference(avatar_split_clause,[],[f80,f505,f501]) ).

fof(f80,plain,
    ( c0_1(a494)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f499,plain,
    ( ~ spl48_30
    | spl48_31 ),
    inference(avatar_split_clause,[],[f76,f496,f492]) ).

fof(f76,plain,
    ( c2_1(a493)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f490,plain,
    ( ~ spl48_28
    | ~ spl48_29 ),
    inference(avatar_split_clause,[],[f32,f487,f483]) ).

fof(f32,plain,
    ( ~ c0_1(a470)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f481,plain,
    ( ~ spl48_26
    | ~ spl48_27 ),
    inference(avatar_split_clause,[],[f24,f478,f474]) ).

fof(f24,plain,
    ( ~ c0_1(a466)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f452,plain,
    ( ~ spl48_21
    | spl48_2 ),
    inference(avatar_split_clause,[],[f111,f354,f449]) ).

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

fof(f427,plain,
    ( ~ spl48_16
    | spl48_2 ),
    inference(avatar_split_clause,[],[f71,f354,f424]) ).

fof(f71,plain,
    ( ndr1_0
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f412,plain,
    ( ~ spl48_13
    | spl48_2 ),
    inference(avatar_split_clause,[],[f59,f354,f409]) ).

fof(f59,plain,
    ( ndr1_0
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN505+1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n013.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 01:41:19 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (7113)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (7119)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.22/0.38  % (7117)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38  % (7120)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.38  % (7118)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38  % (7121)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38  % (7122)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38  % (7123)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.39  Detected minimum model sizes of [1]
% 0.22/0.39  Detected maximum model sizes of [32]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  Detected minimum model sizes of [1]
% 0.22/0.39  Detected maximum model sizes of [32]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  TRYING [3]
% 0.22/0.39  Detected minimum model sizes of [1]
% 0.22/0.39  Detected maximum model sizes of [32]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [3]
% 0.22/0.39  TRYING [2]
% 0.22/0.40  Detected minimum model sizes of [1]
% 0.22/0.40  TRYING [3]
% 0.22/0.40  Detected maximum model sizes of [32]
% 0.22/0.40  TRYING [4]
% 0.22/0.40  TRYING [1]
% 0.22/0.40  TRYING [2]
% 0.22/0.40  TRYING [4]
% 0.22/0.40  TRYING [3]
% 0.22/0.40  TRYING [4]
% 0.22/0.41  TRYING [4]
% 0.22/0.41  TRYING [5]
% 0.22/0.41  % (7119)First to succeed.
% 0.22/0.41  TRYING [5]
% 0.22/0.42  TRYING [5]
% 0.22/0.42  % (7119)Refutation found. Thanks to Tanya!
% 0.22/0.42  % SZS status Theorem for theBenchmark
% 0.22/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.43  % (7119)------------------------------
% 0.22/0.43  % (7119)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.43  % (7119)Termination reason: Refutation
% 0.22/0.43  
% 0.22/0.43  % (7119)Memory used [KB]: 1975
% 0.22/0.43  % (7119)Time elapsed: 0.047 s
% 0.22/0.43  % (7119)Instructions burned: 139 (million)
% 0.22/0.43  % (7119)------------------------------
% 0.22/0.43  % (7119)------------------------------
% 0.22/0.43  % (7113)Success in time 0.061 s
%------------------------------------------------------------------------------