TSTP Solution File: SYN486+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN486+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 : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 18:03:55 EDT 2024

% Result   : Theorem 0.21s 0.47s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :  239
% Syntax   : Number of formulae    :  937 (   1 unt;   0 def)
%            Number of atoms       : 7816 (   0 equ)
%            Maximal formula atoms :  757 (   8 avg)
%            Number of connectives : 10453 (3574   ~;4947   |;1194   &)
%                                         ( 238 <=>; 500  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  113 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  275 ( 274 usr; 271 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   : 1063 (1063   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5212,plain,
    $false,
    inference(avatar_sat_refutation,[],[f438,f448,f453,f468,f482,f491,f500,f509,f545,f554,f563,f572,f573,f578,f583,f588,f589,f594,f599,f604,f610,f615,f620,f621,f626,f631,f636,f637,f642,f647,f652,f653,f658,f663,f668,f669,f674,f679,f684,f692,f716,f724,f732,f753,f761,f769,f777,f785,f793,f798,f806,f814,f819,f824,f829,f837,f855,f860,f868,f873,f878,f924,f937,f942,f947,f955,f960,f968,f973,f981,f996,f1009,f1014,f1019,f1024,f1032,f1040,f1055,f1060,f1065,f1074,f1080,f1085,f1090,f1095,f1101,f1118,f1119,f1123,f1128,f1133,f1138,f1140,f1145,f1150,f1157,f1165,f1171,f1183,f1195,f1200,f1205,f1210,f1217,f1218,f1223,f1228,f1233,f1239,f1245,f1250,f1255,f1260,f1265,f1266,f1280,f1281,f1286,f1291,f1296,f1308,f1321,f1332,f1355,f1360,f1372,f1377,f1382,f1398,f1399,f1404,f1409,f1429,f1434,f1439,f1459,f1460,f1465,f1470,f1475,f1497,f1517,f1522,f1527,f1530,f1545,f1549,f1554,f1559,f1593,f1609,f1627,f1628,f1646,f1667,f1668,f1713,f1724,f1729,f1747,f1762,f1796,f1840,f1845,f1846,f1902,f1933,f1962,f1978,f1979,f2014,f2019,f2024,f2034,f2039,f2044,f2092,f2133,f2138,f2143,f2148,f2149,f2197,f2202,f2207,f2217,f2250,f2256,f2257,f2264,f2269,f2279,f2283,f2304,f2329,f2370,f2377,f2382,f2511,f2531,f2544,f2547,f2549,f2654,f2655,f2657,f2672,f2679,f2682,f2759,f2793,f2836,f2858,f2871,f2914,f2916,f3078,f3086,f3090,f3095,f3100,f3105,f3208,f3281,f3375,f3569,f3621,f3634,f3635,f3745,f3819,f3867,f3900,f3902,f3964,f3971,f4061,f4111,f4155,f4180,f4220,f4432,f4514,f4603,f4681,f4686,f4693,f4696,f4794,f4820,f4830,f4997,f4998,f5105,f5211]) ).

fof(f5211,plain,
    ( ~ spl59_92
    | spl59_94
    | ~ spl59_2
    | spl59_13 ),
    inference(avatar_split_clause,[],[f337,f430,f375,f804,f795]) ).

fof(f795,plain,
    ( spl59_92
  <=> sP14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_92])]) ).

fof(f804,plain,
    ( spl59_94
  <=> ! [X46] :
        ( ~ c3_1(X46)
        | c0_1(X46)
        | ~ c2_1(X46) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_94])]) ).

fof(f375,plain,
    ( spl59_2
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_2])]) ).

fof(f430,plain,
    ( spl59_13
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_13])]) ).

fof(f337,plain,
    ! [X43] :
      ( hskp16
      | ~ ndr1_0
      | ~ c3_1(X43)
      | ~ c2_1(X43)
      | c0_1(X43)
      | ~ sP14 ),
    inference(duplicate_literal_removal,[],[f236]) ).

fof(f236,plain,
    ! [X43] :
      ( hskp16
      | ~ ndr1_0
      | ~ c3_1(X43)
      | ~ c2_1(X43)
      | c0_1(X43)
      | ~ ndr1_0
      | ~ sP14 ),
    inference(general_splitting,[],[f168,f235_D]) ).

fof(f235,plain,
    ! [X42] :
      ( ~ c1_1(X42)
      | ~ c0_1(X42)
      | c3_1(X42)
      | sP14 ),
    inference(cnf_transformation,[],[f235_D]) ).

fof(f235_D,plain,
    ( ! [X42] :
        ( ~ c1_1(X42)
        | ~ c0_1(X42)
        | c3_1(X42) )
  <=> ~ sP14 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP14])]) ).

fof(f168,plain,
    ! [X42,X43] :
      ( hskp16
      | ~ c1_1(X42)
      | ~ c0_1(X42)
      | c3_1(X42)
      | ~ ndr1_0
      | ~ c3_1(X43)
      | ~ c2_1(X43)
      | c0_1(X43)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp16
      | hskp3
      | hskp17 )
    & ( hskp9
      | hskp2
      | hskp24 )
    & ( hskp17
      | hskp26
      | hskp24 )
    & ( hskp22
      | hskp25
      | hskp21 )
    & ( hskp14
      | hskp24
      | hskp13 )
    & ( hskp10
      | hskp0
      | hskp13 )
    & ( hskp16
      | hskp3
      | hskp15 )
    & ( hskp16
      | hskp19
      | hskp5 )
    & ( hskp19
      | hskp2
      | hskp5 )
    & ( hskp23
      | hskp4
      | hskp8 )
    & ( hskp19
      | hskp13
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp27
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp11
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp27
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp0
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c2_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp11
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp29
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp17
      | ! [X9] :
          ( ~ c1_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c1_1(X10)
          | ~ c0_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp13
      | ! [X14] :
          ( ~ c1_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp20
      | ! [X15] :
          ( ~ c1_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c2_1(X16)
          | ~ c0_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp13
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp28
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c2_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c2_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( ~ c3_1(X24)
          | ~ c1_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c1_1(X25)
          | ~ c0_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c2_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp15
      | ! [X27] :
          ( ~ c0_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp28
      | ! [X28] :
          ( ~ c0_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X29] :
          ( ~ c2_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c0_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X31] :
          ( ~ c0_1(X31)
          | c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp30
      | ! [X32] :
          ( ~ c0_1(X32)
          | c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X33] :
          ( ~ c2_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c0_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( ~ c3_1(X35)
          | ~ c2_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c3_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X38] :
          ( ~ c0_1(X38)
          | c3_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c3_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X40] :
          ( ~ c3_1(X40)
          | ~ c2_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X42] :
          ( ~ c1_1(X42)
          | ~ c0_1(X42)
          | c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( ~ c0_1(X44)
          | c3_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c2_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X47] :
          ( ~ c0_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( ~ c2_1(X49)
          | ~ c0_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c0_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp15
      | ! [X52] :
          ( ~ c2_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c1_1(X53)
          | c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c2_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X55] :
          ( ~ c1_1(X55)
          | c3_1(X55)
          | c2_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c2_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X57] :
          ( ~ c0_1(X57)
          | c3_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( ~ c3_1(X59)
          | ~ c0_1(X59)
          | c2_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c0_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c2_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp29
      | ! [X62] :
          ( ~ c1_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp15
      | ! [X63] :
          ( ~ c1_1(X63)
          | c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X64] :
          ( ~ c1_1(X64)
          | c3_1(X64)
          | c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c1_1(X65)
          | c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c3_1(X66)
          | ~ c0_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c1_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( ~ c3_1(X69)
          | ~ c2_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c0_1(X70)
          | c2_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X72] :
          ( ~ c1_1(X72)
          | ~ c0_1(X72)
          | c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X74] :
          ( ~ c0_1(X74)
          | c3_1(X74)
          | c2_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c3_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X76] :
          ( ~ c2_1(X76)
          | c3_1(X76)
          | c1_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X78] :
          ( ~ c3_1(X78)
          | ~ c2_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c1_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X80] :
          ( ~ c3_1(X80)
          | ~ c2_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X82] :
          ( ~ c3_1(X82)
          | ~ c0_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c3_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp9
      | ! [X84] :
          ( ~ c3_1(X84)
          | c1_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X85] :
          ( ~ c1_1(X85)
          | ~ c0_1(X85)
          | c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c3_1(X86)
          | c1_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c1_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c3_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( c3_1(X89)
          | c2_1(X89)
          | c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c2_1(X90)
          | ~ c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c3_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X92] :
          ( ~ c2_1(X92)
          | c3_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( ! [X94] :
          ( ~ c1_1(X94)
          | c3_1(X94)
          | c2_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c1_1(X95)
          | c3_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp5
      | ! [X97] :
          ( ~ c2_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X98] :
          ( ~ c3_1(X98)
          | ~ c2_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c2_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X100] :
          ( ~ c2_1(X100)
          | ~ c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c2_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( ~ c3_1(X102)
          | ~ c1_1(X102)
          | ~ c0_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | ~ c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X105] :
          ( ~ c1_1(X105)
          | c2_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X107] :
          ( ~ c3_1(X107)
          | ~ c2_1(X107)
          | ~ c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c3_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X109] :
          ( ~ c3_1(X109)
          | ~ c2_1(X109)
          | c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c3_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( ! [X111] :
          ( ~ c2_1(X111)
          | ~ c0_1(X111)
          | c1_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c3_1(X112)
          | c2_1(X112)
          | c1_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( c3_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( ! [X114] :
          ( ~ c3_1(X114)
          | ~ c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( ~ c2_1(X115)
          | c3_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c3_1(X116)
          | c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X117] :
          ( ~ c3_1(X117)
          | ~ c2_1(X117)
          | c1_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( c2_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( ! [X119] :
          ( ~ c1_1(X119)
          | c3_1(X119)
          | c2_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( ~ c3_1(X120)
          | ~ c0_1(X120)
          | c1_1(X120)
          | ~ ndr1_0 )
      | ! [X121] :
          ( c2_1(X121)
          | c1_1(X121)
          | c0_1(X121)
          | ~ ndr1_0 ) )
    & ( ! [X122] :
          ( ~ c3_1(X122)
          | ~ c2_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 )
      | ! [X123] :
          ( ~ c2_1(X123)
          | c3_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 )
      | ! [X124] :
          ( c2_1(X124)
          | c1_1(X124)
          | c0_1(X124)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a2208)
        & c1_1(a2208)
        & c0_1(a2208)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a2196)
        & c2_1(a2196)
        & c1_1(a2196)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2188)
        & c1_1(a2188)
        & c0_1(a2188)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a2178)
        & c2_1(a2178)
        & c0_1(a2178)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a2268)
        & ~ c0_1(a2268)
        & c1_1(a2268)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a2265)
        & c3_1(a2265)
        & c1_1(a2265)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a2262)
        & c3_1(a2262)
        & c1_1(a2262)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a2248)
        & ~ c1_1(a2248)
        & ~ c0_1(a2248)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a2219)
        & ~ c1_1(a2219)
        & c2_1(a2219)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a2216)
        & ~ c2_1(a2216)
        & c0_1(a2216)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a2213)
        & c1_1(a2213)
        & c0_1(a2213)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2211)
        & ~ c2_1(a2211)
        & ~ c0_1(a2211)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a2198)
        & ~ c1_1(a2198)
        & c0_1(a2198)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a2197)
        & c3_1(a2197)
        & c2_1(a2197)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2195)
        & ~ c2_1(a2195)
        & ~ c1_1(a2195)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a2194)
        & c3_1(a2194)
        & c0_1(a2194)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a2193)
        & ~ c1_1(a2193)
        & c3_1(a2193)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a2191)
        & ~ c1_1(a2191)
        & c0_1(a2191)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a2189)
        & ~ c2_1(a2189)
        & c1_1(a2189)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a2187)
        & c2_1(a2187)
        & c0_1(a2187)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a2186)
        & ~ c0_1(a2186)
        & c3_1(a2186)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a2185)
        & ~ c0_1(a2185)
        & c2_1(a2185)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a2184)
        & c1_1(a2184)
        & c0_1(a2184)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a2182)
        & c3_1(a2182)
        & c2_1(a2182)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a2181)
        & c2_1(a2181)
        & c1_1(a2181)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c1_1(a2180)
        & c3_1(a2180)
        & c0_1(a2180)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a2179)
        & c2_1(a2179)
        & c0_1(a2179)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2177)
        & ~ c1_1(a2177)
        & ~ c0_1(a2177)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2176)
        & ~ c0_1(a2176)
        & c1_1(a2176)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2175)
        & ~ c0_1(a2175)
        & c2_1(a2175)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a2174)
        & c2_1(a2174)
        & c1_1(a2174)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp16
      | hskp3
      | hskp17 )
    & ( hskp9
      | hskp2
      | hskp24 )
    & ( hskp17
      | hskp26
      | hskp24 )
    & ( hskp22
      | hskp25
      | hskp21 )
    & ( hskp14
      | hskp24
      | hskp13 )
    & ( hskp10
      | hskp0
      | hskp13 )
    & ( hskp16
      | hskp3
      | hskp15 )
    & ( hskp16
      | hskp19
      | hskp5 )
    & ( hskp19
      | hskp2
      | hskp5 )
    & ( hskp23
      | hskp4
      | hskp8 )
    & ( hskp19
      | hskp13
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp27
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp11
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp27
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp0
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c2_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp11
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp29
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp17
      | ! [X9] :
          ( ~ c1_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c1_1(X10)
          | ~ c0_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp13
      | ! [X14] :
          ( ~ c1_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp20
      | ! [X15] :
          ( ~ c1_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c2_1(X16)
          | ~ c0_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp13
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp28
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c2_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c2_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( ~ c3_1(X24)
          | ~ c1_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c1_1(X25)
          | ~ c0_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c2_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp15
      | ! [X27] :
          ( ~ c0_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp28
      | ! [X28] :
          ( ~ c0_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X29] :
          ( ~ c2_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c0_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X31] :
          ( ~ c0_1(X31)
          | c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp30
      | ! [X32] :
          ( ~ c0_1(X32)
          | c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X33] :
          ( ~ c2_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c0_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( ~ c3_1(X35)
          | ~ c2_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c3_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X38] :
          ( ~ c0_1(X38)
          | c3_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c3_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X40] :
          ( ~ c3_1(X40)
          | ~ c2_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X42] :
          ( ~ c1_1(X42)
          | ~ c0_1(X42)
          | c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( ~ c0_1(X44)
          | c3_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c2_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X47] :
          ( ~ c0_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( ~ c2_1(X49)
          | ~ c0_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c0_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp15
      | ! [X52] :
          ( ~ c2_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c1_1(X53)
          | c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c2_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X55] :
          ( ~ c1_1(X55)
          | c3_1(X55)
          | c2_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c2_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X57] :
          ( ~ c0_1(X57)
          | c3_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( ~ c3_1(X59)
          | ~ c0_1(X59)
          | c2_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c0_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c2_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp29
      | ! [X62] :
          ( ~ c1_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp15
      | ! [X63] :
          ( ~ c1_1(X63)
          | c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X64] :
          ( ~ c1_1(X64)
          | c3_1(X64)
          | c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c1_1(X65)
          | c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c3_1(X66)
          | ~ c0_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c1_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( ~ c3_1(X69)
          | ~ c2_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c0_1(X70)
          | c2_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X72] :
          ( ~ c1_1(X72)
          | ~ c0_1(X72)
          | c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X74] :
          ( ~ c0_1(X74)
          | c3_1(X74)
          | c2_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c3_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X76] :
          ( ~ c2_1(X76)
          | c3_1(X76)
          | c1_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X78] :
          ( ~ c3_1(X78)
          | ~ c2_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c1_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X80] :
          ( ~ c3_1(X80)
          | ~ c2_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X82] :
          ( ~ c3_1(X82)
          | ~ c0_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c3_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp9
      | ! [X84] :
          ( ~ c3_1(X84)
          | c1_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X85] :
          ( ~ c1_1(X85)
          | ~ c0_1(X85)
          | c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c3_1(X86)
          | c1_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c1_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c3_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( c3_1(X89)
          | c2_1(X89)
          | c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c2_1(X90)
          | ~ c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c3_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X92] :
          ( ~ c2_1(X92)
          | c3_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( ! [X94] :
          ( ~ c1_1(X94)
          | c3_1(X94)
          | c2_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c1_1(X95)
          | c3_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp5
      | ! [X97] :
          ( ~ c2_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X98] :
          ( ~ c3_1(X98)
          | ~ c2_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c2_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X100] :
          ( ~ c2_1(X100)
          | ~ c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c2_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( ~ c3_1(X102)
          | ~ c1_1(X102)
          | ~ c0_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | ~ c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X105] :
          ( ~ c1_1(X105)
          | c2_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X107] :
          ( ~ c3_1(X107)
          | ~ c2_1(X107)
          | ~ c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c3_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X109] :
          ( ~ c3_1(X109)
          | ~ c2_1(X109)
          | c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c3_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( ! [X111] :
          ( ~ c2_1(X111)
          | ~ c0_1(X111)
          | c1_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c3_1(X112)
          | c2_1(X112)
          | c1_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( c3_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( ! [X114] :
          ( ~ c3_1(X114)
          | ~ c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( ~ c2_1(X115)
          | c3_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c3_1(X116)
          | c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X117] :
          ( ~ c3_1(X117)
          | ~ c2_1(X117)
          | c1_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( c2_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( ! [X119] :
          ( ~ c1_1(X119)
          | c3_1(X119)
          | c2_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( ~ c3_1(X120)
          | ~ c0_1(X120)
          | c1_1(X120)
          | ~ ndr1_0 )
      | ! [X121] :
          ( c2_1(X121)
          | c1_1(X121)
          | c0_1(X121)
          | ~ ndr1_0 ) )
    & ( ! [X122] :
          ( ~ c3_1(X122)
          | ~ c2_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 )
      | ! [X123] :
          ( ~ c2_1(X123)
          | c3_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 )
      | ! [X124] :
          ( c2_1(X124)
          | c1_1(X124)
          | c0_1(X124)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a2208)
        & c1_1(a2208)
        & c0_1(a2208)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a2196)
        & c2_1(a2196)
        & c1_1(a2196)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2188)
        & c1_1(a2188)
        & c0_1(a2188)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a2178)
        & c2_1(a2178)
        & c0_1(a2178)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a2268)
        & ~ c0_1(a2268)
        & c1_1(a2268)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a2265)
        & c3_1(a2265)
        & c1_1(a2265)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a2262)
        & c3_1(a2262)
        & c1_1(a2262)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a2248)
        & ~ c1_1(a2248)
        & ~ c0_1(a2248)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a2219)
        & ~ c1_1(a2219)
        & c2_1(a2219)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a2216)
        & ~ c2_1(a2216)
        & c0_1(a2216)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a2213)
        & c1_1(a2213)
        & c0_1(a2213)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2211)
        & ~ c2_1(a2211)
        & ~ c0_1(a2211)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a2198)
        & ~ c1_1(a2198)
        & c0_1(a2198)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a2197)
        & c3_1(a2197)
        & c2_1(a2197)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2195)
        & ~ c2_1(a2195)
        & ~ c1_1(a2195)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a2194)
        & c3_1(a2194)
        & c0_1(a2194)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a2193)
        & ~ c1_1(a2193)
        & c3_1(a2193)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a2191)
        & ~ c1_1(a2191)
        & c0_1(a2191)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a2189)
        & ~ c2_1(a2189)
        & c1_1(a2189)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a2187)
        & c2_1(a2187)
        & c0_1(a2187)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a2186)
        & ~ c0_1(a2186)
        & c3_1(a2186)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a2185)
        & ~ c0_1(a2185)
        & c2_1(a2185)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a2184)
        & c1_1(a2184)
        & c0_1(a2184)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a2182)
        & c3_1(a2182)
        & c2_1(a2182)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a2181)
        & c2_1(a2181)
        & c1_1(a2181)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c1_1(a2180)
        & c3_1(a2180)
        & c0_1(a2180)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a2179)
        & c2_1(a2179)
        & c0_1(a2179)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2177)
        & ~ c1_1(a2177)
        & ~ c0_1(a2177)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2176)
        & ~ c0_1(a2176)
        & c1_1(a2176)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2175)
        & ~ c0_1(a2175)
        & c2_1(a2175)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a2174)
        & c2_1(a2174)
        & c1_1(a2174)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp16
      | hskp3
      | hskp17 )
    & ( hskp9
      | hskp2
      | hskp24 )
    & ( hskp17
      | hskp26
      | hskp24 )
    & ( hskp22
      | hskp25
      | hskp21 )
    & ( hskp14
      | hskp24
      | hskp13 )
    & ( hskp10
      | hskp0
      | hskp13 )
    & ( hskp16
      | hskp3
      | hskp15 )
    & ( hskp16
      | hskp19
      | hskp5 )
    & ( hskp19
      | hskp2
      | hskp5 )
    & ( hskp23
      | hskp4
      | hskp8 )
    & ( hskp19
      | hskp13
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp16
      | hskp27
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c1_1(X1) ) ) )
    & ( hskp1
      | hskp11
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp22
      | hskp27
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp22
      | hskp0
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | c3_1(X4) ) ) )
    & ( hskp7
      | ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | ~ c2_1(X5)
            | ~ c0_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | ~ c1_1(X6)
            | c3_1(X6) ) ) )
    & ( hskp10
      | hskp11
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c0_1(X7)
            | c3_1(X7) ) ) )
    & ( hskp9
      | hskp29
      | ! [X8] :
          ( ndr1_0
         => ( ~ c1_1(X8)
            | ~ c0_1(X8)
            | c3_1(X8) ) ) )
    & ( hskp10
      | hskp17
      | ! [X9] :
          ( ndr1_0
         => ( ~ c1_1(X9)
            | ~ c0_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp12
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c1_1(X10)
            | ~ c0_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | ~ c0_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp18
      | ! [X12] :
          ( ndr1_0
         => ( ~ c1_1(X12)
            | ~ c0_1(X12)
            | c3_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c1_1(X13)
            | ~ c0_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp16
      | hskp13
      | ! [X14] :
          ( ndr1_0
         => ( ~ c1_1(X14)
            | c3_1(X14)
            | c2_1(X14) ) ) )
    & ( hskp16
      | hskp20
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | c3_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp27
      | ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | ~ c2_1(X16)
            | ~ c0_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c2_1(X17)
            | c1_1(X17) ) ) )
    & ( hskp16
      | hskp13
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c0_1(X18)
            | c1_1(X18) ) ) )
    & ( hskp22
      | hskp28
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | ~ c0_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp10
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c2_1(X20)
            | c1_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c2_1(X21)
            | ~ c0_1(X21)
            | c1_1(X21) ) ) )
    & ( hskp21
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c2_1(X22)
            | c1_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c2_1(X23)
            | ~ c0_1(X23)
            | c1_1(X23) ) ) )
    & ( ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c1_1(X24)
            | ~ c0_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | ~ c0_1(X25)
            | c3_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | c3_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp0
      | hskp15
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | c3_1(X27)
            | c1_1(X27) ) ) )
    & ( hskp20
      | hskp28
      | ! [X28] :
          ( ndr1_0
         => ( ~ c0_1(X28)
            | c3_1(X28)
            | c1_1(X28) ) ) )
    & ( hskp19
      | ! [X29] :
          ( ndr1_0
         => ( ~ c2_1(X29)
            | ~ c0_1(X29)
            | c1_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c0_1(X30)
            | c3_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp16
      | ! [X31] :
          ( ndr1_0
         => ( ~ c0_1(X31)
            | c2_1(X31)
            | c1_1(X31) ) ) )
    & ( hskp1
      | hskp30
      | ! [X32] :
          ( ndr1_0
         => ( ~ c0_1(X32)
            | c2_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp2
      | ! [X33] :
          ( ndr1_0
         => ( ~ c2_1(X33)
            | c3_1(X33)
            | c1_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c0_1(X34)
            | c2_1(X34)
            | c1_1(X34) ) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c2_1(X35)
            | ~ c0_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | ~ c0_1(X36)
            | c1_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c3_1(X37)
            | c2_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp28
      | ! [X38] :
          ( ndr1_0
         => ( ~ c0_1(X38)
            | c3_1(X38)
            | c1_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( c3_1(X39)
            | c2_1(X39)
            | c1_1(X39) ) ) )
    & ( hskp2
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | ~ c2_1(X40)
            | ~ c1_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c2_1(X41)
            | c0_1(X41) ) ) )
    & ( hskp16
      | ! [X42] :
          ( ndr1_0
         => ( ~ c1_1(X42)
            | ~ c0_1(X42)
            | c3_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c2_1(X43)
            | c0_1(X43) ) ) )
    & ( ! [X44] :
          ( ndr1_0
         => ( ~ c0_1(X44)
            | c3_1(X44)
            | c2_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c2_1(X45)
            | c1_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | ~ c2_1(X46)
            | c0_1(X46) ) ) )
    & ( hskp29
      | ! [X47] :
          ( ndr1_0
         => ( ~ c0_1(X47)
            | c2_1(X47)
            | c1_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c2_1(X48)
            | c0_1(X48) ) ) )
    & ( ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | ~ c0_1(X49)
            | c3_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c0_1(X50)
            | c2_1(X50)
            | c1_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c2_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp3
      | hskp15
      | ! [X52] :
          ( ndr1_0
         => ( ~ c2_1(X52)
            | ~ c1_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp27
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c1_1(X53)
            | c2_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c2_1(X54)
            | ~ c1_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp2
      | ! [X55] :
          ( ndr1_0
         => ( ~ c1_1(X55)
            | c3_1(X55)
            | c2_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp18
      | ! [X57] :
          ( ndr1_0
         => ( ~ c0_1(X57)
            | c3_1(X57)
            | c1_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | ~ c1_1(X58)
            | c0_1(X58) ) ) )
    & ( ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c0_1(X59)
            | c2_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | ~ c0_1(X60)
            | c1_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | c3_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp17
      | hskp29
      | ! [X62] :
          ( ndr1_0
         => ( ~ c1_1(X62)
            | c3_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp16
      | hskp15
      | ! [X63] :
          ( ndr1_0
         => ( ~ c1_1(X63)
            | c3_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp14
      | ! [X64] :
          ( ndr1_0
         => ( ~ c1_1(X64)
            | c3_1(X64)
            | c2_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c1_1(X65)
            | c3_1(X65)
            | c0_1(X65) ) ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | ~ c0_1(X66)
            | c1_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | ~ c1_1(X67)
            | c0_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c1_1(X68)
            | c3_1(X68)
            | c0_1(X68) ) ) )
    & ( ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | ~ c2_1(X69)
            | ~ c1_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | ~ c0_1(X70)
            | c2_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | c2_1(X71)
            | c0_1(X71) ) ) )
    & ( hskp11
      | ! [X72] :
          ( ndr1_0
         => ( ~ c1_1(X72)
            | ~ c0_1(X72)
            | c2_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | c2_1(X73)
            | c0_1(X73) ) ) )
    & ( hskp13
      | ! [X74] :
          ( ndr1_0
         => ( ~ c0_1(X74)
            | c3_1(X74)
            | c2_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | c2_1(X75)
            | c0_1(X75) ) ) )
    & ( hskp10
      | ! [X76] :
          ( ndr1_0
         => ( ~ c2_1(X76)
            | c3_1(X76)
            | c1_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | c2_1(X77)
            | c0_1(X77) ) ) )
    & ( hskp12
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | ~ c2_1(X78)
            | c1_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c1_1(X79)
            | c2_1(X79)
            | c0_1(X79) ) ) )
    & ( hskp28
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | ~ c2_1(X80)
            | ~ c0_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c3_1(X81)
            | c2_1(X81)
            | c0_1(X81) ) ) )
    & ( hskp11
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | ~ c0_1(X82)
            | c1_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( c3_1(X83)
            | c2_1(X83)
            | c0_1(X83) ) ) )
    & ( hskp10
      | hskp9
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | c1_1(X84)
            | c0_1(X84) ) ) )
    & ( hskp8
      | ! [X85] :
          ( ndr1_0
         => ( ~ c1_1(X85)
            | ~ c0_1(X85)
            | c3_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | c1_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp0
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c1_1(X87)
            | c2_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | c1_1(X88)
            | c0_1(X88) ) ) )
    & ( ! [X89] :
          ( ndr1_0
         => ( c3_1(X89)
            | c2_1(X89)
            | c1_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c2_1(X90)
            | ~ c1_1(X90)
            | c0_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | c1_1(X91)
            | c0_1(X91) ) ) )
    & ( hskp7
      | ! [X92] :
          ( ndr1_0
         => ( ~ c2_1(X92)
            | c3_1(X92)
            | c0_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | c1_1(X93)
            | c0_1(X93) ) ) )
    & ( ! [X94] :
          ( ndr1_0
         => ( ~ c1_1(X94)
            | c3_1(X94)
            | c2_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( ~ c1_1(X95)
            | c3_1(X95)
            | c0_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | c1_1(X96)
            | c0_1(X96) ) ) )
    & ( hskp6
      | hskp5
      | ! [X97] :
          ( ndr1_0
         => ( ~ c2_1(X97)
            | c1_1(X97)
            | c0_1(X97) ) ) )
    & ( hskp4
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | ~ c2_1(X98)
            | ~ c1_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c2_1(X99)
            | c1_1(X99)
            | c0_1(X99) ) ) )
    & ( hskp27
      | ! [X100] :
          ( ndr1_0
         => ( ~ c2_1(X100)
            | ~ c1_1(X100)
            | c0_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c2_1(X101)
            | c1_1(X101)
            | c0_1(X101) ) ) )
    & ( ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | ~ c1_1(X102)
            | ~ c0_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c2_1(X103)
            | ~ c1_1(X103)
            | c0_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( ~ c2_1(X104)
            | c1_1(X104)
            | c0_1(X104) ) ) )
    & ( hskp3
      | ! [X105] :
          ( ndr1_0
         => ( ~ c1_1(X105)
            | c2_1(X105)
            | c0_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c2_1(X106)
            | c1_1(X106)
            | c0_1(X106) ) ) )
    & ( hskp2
      | ! [X107] :
          ( ndr1_0
         => ( ~ c3_1(X107)
            | ~ c2_1(X107)
            | ~ c0_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( c3_1(X108)
            | c1_1(X108)
            | c0_1(X108) ) ) )
    & ( hskp1
      | ! [X109] :
          ( ndr1_0
         => ( ~ c3_1(X109)
            | ~ c2_1(X109)
            | c1_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( c3_1(X110)
            | c1_1(X110)
            | c0_1(X110) ) ) )
    & ( ! [X111] :
          ( ndr1_0
         => ( ~ c2_1(X111)
            | ~ c0_1(X111)
            | c1_1(X111) ) )
      | ! [X112] :
          ( ndr1_0
         => ( c3_1(X112)
            | c2_1(X112)
            | c1_1(X112) ) )
      | ! [X113] :
          ( ndr1_0
         => ( c3_1(X113)
            | c1_1(X113)
            | c0_1(X113) ) ) )
    & ( ! [X114] :
          ( ndr1_0
         => ( ~ c3_1(X114)
            | ~ c1_1(X114)
            | c0_1(X114) ) )
      | ! [X115] :
          ( ndr1_0
         => ( ~ c2_1(X115)
            | c3_1(X115)
            | c0_1(X115) ) )
      | ! [X116] :
          ( ndr1_0
         => ( c3_1(X116)
            | c1_1(X116)
            | c0_1(X116) ) ) )
    & ( hskp0
      | ! [X117] :
          ( ndr1_0
         => ( ~ c3_1(X117)
            | ~ c2_1(X117)
            | c1_1(X117) ) )
      | ! [X118] :
          ( ndr1_0
         => ( c2_1(X118)
            | c1_1(X118)
            | c0_1(X118) ) ) )
    & ( ! [X119] :
          ( ndr1_0
         => ( ~ c1_1(X119)
            | c3_1(X119)
            | c2_1(X119) ) )
      | ! [X120] :
          ( ndr1_0
         => ( ~ c3_1(X120)
            | ~ c0_1(X120)
            | c1_1(X120) ) )
      | ! [X121] :
          ( ndr1_0
         => ( c2_1(X121)
            | c1_1(X121)
            | c0_1(X121) ) ) )
    & ( ! [X122] :
          ( ndr1_0
         => ( ~ c3_1(X122)
            | ~ c2_1(X122)
            | c0_1(X122) ) )
      | ! [X123] :
          ( ndr1_0
         => ( ~ c2_1(X123)
            | c3_1(X123)
            | c0_1(X123) ) )
      | ! [X124] :
          ( ndr1_0
         => ( c2_1(X124)
            | c1_1(X124)
            | c0_1(X124) ) ) )
    & ( ( c3_1(a2208)
        & c1_1(a2208)
        & c0_1(a2208)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a2196)
        & c2_1(a2196)
        & c1_1(a2196)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2188)
        & c1_1(a2188)
        & c0_1(a2188)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a2178)
        & c2_1(a2178)
        & c0_1(a2178)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a2268)
        & ~ c0_1(a2268)
        & c1_1(a2268)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a2265)
        & c3_1(a2265)
        & c1_1(a2265)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a2262)
        & c3_1(a2262)
        & c1_1(a2262)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a2248)
        & ~ c1_1(a2248)
        & ~ c0_1(a2248)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a2219)
        & ~ c1_1(a2219)
        & c2_1(a2219)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a2216)
        & ~ c2_1(a2216)
        & c0_1(a2216)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a2213)
        & c1_1(a2213)
        & c0_1(a2213)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2211)
        & ~ c2_1(a2211)
        & ~ c0_1(a2211)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a2198)
        & ~ c1_1(a2198)
        & c0_1(a2198)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a2197)
        & c3_1(a2197)
        & c2_1(a2197)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2195)
        & ~ c2_1(a2195)
        & ~ c1_1(a2195)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a2194)
        & c3_1(a2194)
        & c0_1(a2194)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a2193)
        & ~ c1_1(a2193)
        & c3_1(a2193)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a2191)
        & ~ c1_1(a2191)
        & c0_1(a2191)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a2189)
        & ~ c2_1(a2189)
        & c1_1(a2189)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a2187)
        & c2_1(a2187)
        & c0_1(a2187)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a2186)
        & ~ c0_1(a2186)
        & c3_1(a2186)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a2185)
        & ~ c0_1(a2185)
        & c2_1(a2185)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a2184)
        & c1_1(a2184)
        & c0_1(a2184)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a2182)
        & c3_1(a2182)
        & c2_1(a2182)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a2181)
        & c2_1(a2181)
        & c1_1(a2181)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c1_1(a2180)
        & c3_1(a2180)
        & c0_1(a2180)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a2179)
        & c2_1(a2179)
        & c0_1(a2179)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2177)
        & ~ c1_1(a2177)
        & ~ c0_1(a2177)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2176)
        & ~ c0_1(a2176)
        & c1_1(a2176)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2175)
        & ~ c0_1(a2175)
        & c2_1(a2175)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a2174)
        & c2_1(a2174)
        & c1_1(a2174)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp16
          | hskp3
          | hskp17 )
        & ( hskp9
          | hskp2
          | hskp24 )
        & ( hskp17
          | hskp26
          | hskp24 )
        & ( hskp22
          | hskp25
          | hskp21 )
        & ( hskp14
          | hskp24
          | hskp13 )
        & ( hskp10
          | hskp0
          | hskp13 )
        & ( hskp16
          | hskp3
          | hskp15 )
        & ( hskp16
          | hskp19
          | hskp5 )
        & ( hskp19
          | hskp2
          | hskp5 )
        & ( hskp23
          | hskp4
          | hskp8 )
        & ( hskp19
          | hskp13
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp16
          | hskp27
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c1_1(X1) ) ) )
        & ( hskp1
          | hskp11
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp22
          | hskp27
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp22
          | hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | c3_1(X4) ) ) )
        & ( hskp7
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c2_1(X5)
                | ~ c0_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c1_1(X6)
                | c3_1(X6) ) ) )
        & ( hskp10
          | hskp11
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c0_1(X7)
                | c3_1(X7) ) ) )
        & ( hskp9
          | hskp29
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | ~ c0_1(X8)
                | c3_1(X8) ) ) )
        & ( hskp10
          | hskp17
          | ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | ~ c0_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp12
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c1_1(X10)
                | ~ c0_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp18
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | ~ c0_1(X12)
                | c3_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | ~ c0_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp16
          | hskp13
          | ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | c3_1(X14)
                | c2_1(X14) ) ) )
        & ( hskp16
          | hskp20
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | c3_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp27
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c2_1(X16)
                | ~ c0_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c2_1(X17)
                | c1_1(X17) ) ) )
        & ( hskp16
          | hskp13
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c0_1(X18)
                | c1_1(X18) ) ) )
        & ( hskp22
          | hskp28
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c0_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp10
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c2_1(X20)
                | c1_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c0_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp21
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | c1_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | ~ c0_1(X23)
                | c1_1(X23) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c1_1(X24)
                | ~ c0_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | ~ c0_1(X25)
                | c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | c3_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp0
          | hskp15
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | c3_1(X27)
                | c1_1(X27) ) ) )
        & ( hskp20
          | hskp28
          | ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | c3_1(X28)
                | c1_1(X28) ) ) )
        & ( hskp19
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | ~ c0_1(X29)
                | c1_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | c3_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp16
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c2_1(X31)
                | c1_1(X31) ) ) )
        & ( hskp1
          | hskp30
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | c2_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp2
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c2_1(X34)
                | c1_1(X34) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c2_1(X35)
                | ~ c0_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c0_1(X36)
                | c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp28
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | c3_1(X38)
                | c1_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c3_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) ) )
        & ( hskp2
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c2_1(X40)
                | ~ c1_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp16
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | ~ c0_1(X42)
                | c3_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c2_1(X43)
                | c0_1(X43) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | c3_1(X44)
                | c2_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c2_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp29
          | ! [X47] :
              ( ndr1_0
             => ( ~ c0_1(X47)
                | c2_1(X47)
                | c1_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c2_1(X48)
                | c0_1(X48) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c0_1(X49)
                | c3_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp3
          | hskp15
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | ~ c1_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp27
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c1_1(X53)
                | c2_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp2
          | ! [X55] :
              ( ndr1_0
             => ( ~ c1_1(X55)
                | c3_1(X55)
                | c2_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp18
          | ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | c3_1(X57)
                | c1_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c0_1(X59)
                | c2_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c0_1(X60)
                | c1_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | c3_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp17
          | hskp29
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | c3_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp16
          | hskp15
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | c3_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp14
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | c3_1(X64)
                | c2_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c1_1(X65)
                | c3_1(X65)
                | c0_1(X65) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c0_1(X66)
                | c1_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c1_1(X67)
                | c0_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | c3_1(X68)
                | c0_1(X68) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c2_1(X69)
                | ~ c1_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c0_1(X70)
                | c2_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | c2_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp11
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | ~ c0_1(X72)
                | c2_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c2_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp13
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c3_1(X74)
                | c2_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c2_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp10
          | ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | c3_1(X76)
                | c1_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c2_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp12
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c2_1(X78)
                | c1_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c1_1(X79)
                | c2_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp28
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c2_1(X80)
                | ~ c0_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | c2_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp11
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c0_1(X82)
                | c1_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c3_1(X83)
                | c2_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp10
          | hskp9
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | c1_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp8
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | ~ c0_1(X85)
                | c3_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | c1_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp0
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c1_1(X87)
                | c2_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | c1_1(X88)
                | c0_1(X88) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | c2_1(X89)
                | c1_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | ~ c1_1(X90)
                | c0_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | c1_1(X91)
                | c0_1(X91) ) ) )
        & ( hskp7
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | c3_1(X92)
                | c0_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | c1_1(X93)
                | c0_1(X93) ) ) )
        & ( ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | c3_1(X94)
                | c2_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | c3_1(X95)
                | c0_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | c1_1(X96)
                | c0_1(X96) ) ) )
        & ( hskp6
          | hskp5
          | ! [X97] :
              ( ndr1_0
             => ( ~ c2_1(X97)
                | c1_1(X97)
                | c0_1(X97) ) ) )
        & ( hskp4
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c2_1(X98)
                | ~ c1_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c2_1(X99)
                | c1_1(X99)
                | c0_1(X99) ) ) )
        & ( hskp27
          | ! [X100] :
              ( ndr1_0
             => ( ~ c2_1(X100)
                | ~ c1_1(X100)
                | c0_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | c1_1(X101)
                | c0_1(X101) ) ) )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c1_1(X102)
                | ~ c0_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | ~ c1_1(X103)
                | c0_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | c1_1(X104)
                | c0_1(X104) ) ) )
        & ( hskp3
          | ! [X105] :
              ( ndr1_0
             => ( ~ c1_1(X105)
                | c2_1(X105)
                | c0_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | c1_1(X106)
                | c0_1(X106) ) ) )
        & ( hskp2
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c2_1(X107)
                | ~ c0_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( c3_1(X108)
                | c1_1(X108)
                | c0_1(X108) ) ) )
        & ( hskp1
          | ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | ~ c2_1(X109)
                | c1_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( c3_1(X110)
                | c1_1(X110)
                | c0_1(X110) ) ) )
        & ( ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | ~ c0_1(X111)
                | c1_1(X111) ) )
          | ! [X112] :
              ( ndr1_0
             => ( c3_1(X112)
                | c2_1(X112)
                | c1_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( c3_1(X113)
                | c1_1(X113)
                | c0_1(X113) ) ) )
        & ( ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c1_1(X114)
                | c0_1(X114) ) )
          | ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | c3_1(X115)
                | c0_1(X115) ) )
          | ! [X116] :
              ( ndr1_0
             => ( c3_1(X116)
                | c1_1(X116)
                | c0_1(X116) ) ) )
        & ( hskp0
          | ! [X117] :
              ( ndr1_0
             => ( ~ c3_1(X117)
                | ~ c2_1(X117)
                | c1_1(X117) ) )
          | ! [X118] :
              ( ndr1_0
             => ( c2_1(X118)
                | c1_1(X118)
                | c0_1(X118) ) ) )
        & ( ! [X119] :
              ( ndr1_0
             => ( ~ c1_1(X119)
                | c3_1(X119)
                | c2_1(X119) ) )
          | ! [X120] :
              ( ndr1_0
             => ( ~ c3_1(X120)
                | ~ c0_1(X120)
                | c1_1(X120) ) )
          | ! [X121] :
              ( ndr1_0
             => ( c2_1(X121)
                | c1_1(X121)
                | c0_1(X121) ) ) )
        & ( ! [X122] :
              ( ndr1_0
             => ( ~ c3_1(X122)
                | ~ c2_1(X122)
                | c0_1(X122) ) )
          | ! [X123] :
              ( ndr1_0
             => ( ~ c2_1(X123)
                | c3_1(X123)
                | c0_1(X123) ) )
          | ! [X124] :
              ( ndr1_0
             => ( c2_1(X124)
                | c1_1(X124)
                | c0_1(X124) ) ) )
        & ( ( c3_1(a2208)
            & c1_1(a2208)
            & c0_1(a2208)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a2196)
            & c2_1(a2196)
            & c1_1(a2196)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a2188)
            & c1_1(a2188)
            & c0_1(a2188)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a2178)
            & c2_1(a2178)
            & c0_1(a2178)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a2268)
            & ~ c0_1(a2268)
            & c1_1(a2268)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a2265)
            & c3_1(a2265)
            & c1_1(a2265)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c0_1(a2262)
            & c3_1(a2262)
            & c1_1(a2262)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a2248)
            & ~ c1_1(a2248)
            & ~ c0_1(a2248)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a2219)
            & ~ c1_1(a2219)
            & c2_1(a2219)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a2216)
            & ~ c2_1(a2216)
            & c0_1(a2216)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a2213)
            & c1_1(a2213)
            & c0_1(a2213)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a2211)
            & ~ c2_1(a2211)
            & ~ c0_1(a2211)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a2198)
            & ~ c1_1(a2198)
            & c0_1(a2198)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a2197)
            & c3_1(a2197)
            & c2_1(a2197)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a2195)
            & ~ c2_1(a2195)
            & ~ c1_1(a2195)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a2194)
            & c3_1(a2194)
            & c0_1(a2194)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a2193)
            & ~ c1_1(a2193)
            & c3_1(a2193)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a2191)
            & ~ c1_1(a2191)
            & c0_1(a2191)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a2189)
            & ~ c2_1(a2189)
            & c1_1(a2189)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a2187)
            & c2_1(a2187)
            & c0_1(a2187)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a2186)
            & ~ c0_1(a2186)
            & c3_1(a2186)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a2185)
            & ~ c0_1(a2185)
            & c2_1(a2185)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a2184)
            & c1_1(a2184)
            & c0_1(a2184)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c0_1(a2182)
            & c3_1(a2182)
            & c2_1(a2182)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a2181)
            & c2_1(a2181)
            & c1_1(a2181)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c1_1(a2180)
            & c3_1(a2180)
            & c0_1(a2180)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a2179)
            & c2_1(a2179)
            & c0_1(a2179)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a2177)
            & ~ c1_1(a2177)
            & ~ c0_1(a2177)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a2176)
            & ~ c0_1(a2176)
            & c1_1(a2176)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a2175)
            & ~ c0_1(a2175)
            & c2_1(a2175)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c0_1(a2174)
            & c2_1(a2174)
            & c1_1(a2174)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp16
          | hskp3
          | hskp17 )
        & ( hskp9
          | hskp2
          | hskp24 )
        & ( hskp17
          | hskp26
          | hskp24 )
        & ( hskp22
          | hskp25
          | hskp21 )
        & ( hskp14
          | hskp24
          | hskp13 )
        & ( hskp10
          | hskp0
          | hskp13 )
        & ( hskp16
          | hskp3
          | hskp15 )
        & ( hskp16
          | hskp19
          | hskp5 )
        & ( hskp19
          | hskp2
          | hskp5 )
        & ( hskp23
          | hskp4
          | hskp8 )
        & ( hskp19
          | hskp13
          | ! [X124] :
              ( ndr1_0
             => ( ~ c3_1(X124)
                | ~ c2_1(X124)
                | ~ c1_1(X124) ) ) )
        & ( hskp16
          | hskp27
          | ! [X123] :
              ( ndr1_0
             => ( ~ c3_1(X123)
                | ~ c2_1(X123)
                | ~ c1_1(X123) ) ) )
        & ( hskp1
          | hskp11
          | ! [X122] :
              ( ndr1_0
             => ( ~ c3_1(X122)
                | ~ c2_1(X122)
                | ~ c0_1(X122) ) ) )
        & ( hskp22
          | hskp27
          | ! [X121] :
              ( ndr1_0
             => ( ~ c3_1(X121)
                | ~ c1_1(X121)
                | ~ c0_1(X121) ) ) )
        & ( hskp22
          | hskp0
          | ! [X120] :
              ( ndr1_0
             => ( ~ c2_1(X120)
                | ~ c1_1(X120)
                | c3_1(X120) ) ) )
        & ( hskp7
          | ! [X119] :
              ( ndr1_0
             => ( ~ c3_1(X119)
                | ~ c2_1(X119)
                | ~ c0_1(X119) ) )
          | ! [X118] :
              ( ndr1_0
             => ( ~ c2_1(X118)
                | ~ c1_1(X118)
                | c3_1(X118) ) ) )
        & ( hskp10
          | hskp11
          | ! [X117] :
              ( ndr1_0
             => ( ~ c2_1(X117)
                | ~ c0_1(X117)
                | c3_1(X117) ) ) )
        & ( hskp9
          | hskp29
          | ! [X116] :
              ( ndr1_0
             => ( ~ c1_1(X116)
                | ~ c0_1(X116)
                | c3_1(X116) ) ) )
        & ( hskp10
          | hskp17
          | ! [X115] :
              ( ndr1_0
             => ( ~ c1_1(X115)
                | ~ c0_1(X115)
                | c2_1(X115) ) ) )
        & ( hskp12
          | ! [X114] :
              ( ndr1_0
             => ( ~ c2_1(X114)
                | ~ c1_1(X114)
                | ~ c0_1(X114) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c1_1(X113)
                | ~ c0_1(X113)
                | c2_1(X113) ) ) )
        & ( hskp18
          | ! [X112] :
              ( ndr1_0
             => ( ~ c1_1(X112)
                | ~ c0_1(X112)
                | c3_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | ~ c0_1(X111)
                | c2_1(X111) ) ) )
        & ( hskp16
          | hskp13
          | ! [X110] :
              ( ndr1_0
             => ( ~ c1_1(X110)
                | c3_1(X110)
                | c2_1(X110) ) ) )
        & ( hskp16
          | hskp20
          | ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | c3_1(X109)
                | c2_1(X109) ) ) )
        & ( hskp27
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c2_1(X108)
                | ~ c0_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c2_1(X107)
                | c1_1(X107) ) ) )
        & ( hskp16
          | hskp13
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c0_1(X106)
                | c1_1(X106) ) ) )
        & ( hskp22
          | hskp28
          | ! [X105] :
              ( ndr1_0
             => ( ~ c2_1(X105)
                | ~ c0_1(X105)
                | c1_1(X105) ) ) )
        & ( hskp10
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c2_1(X104)
                | c1_1(X104) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | ~ c0_1(X103)
                | c1_1(X103) ) ) )
        & ( hskp21
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | c1_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c0_1(X101)
                | c1_1(X101) ) ) )
        & ( ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c1_1(X100)
                | ~ c0_1(X100) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | ~ c0_1(X99)
                | c3_1(X99) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | c3_1(X98)
                | c1_1(X98) ) ) )
        & ( hskp0
          | hskp15
          | ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | c3_1(X97)
                | c1_1(X97) ) ) )
        & ( hskp20
          | hskp28
          | ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | c3_1(X96)
                | c1_1(X96) ) ) )
        & ( hskp19
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c0_1(X95)
                | c1_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c0_1(X94)
                | c3_1(X94)
                | c1_1(X94) ) ) )
        & ( hskp16
          | ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | c2_1(X93)
                | c1_1(X93) ) ) )
        & ( hskp1
          | hskp30
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | c2_1(X92)
                | c1_1(X92) ) ) )
        & ( hskp2
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | c3_1(X91)
                | c1_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | c2_1(X90)
                | c1_1(X90) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c2_1(X89)
                | ~ c0_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c0_1(X88)
                | c1_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | c2_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp28
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | c3_1(X86)
                | c1_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | c2_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp2
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c2_1(X84)
                | ~ c1_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c2_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp16
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | ~ c0_1(X82)
                | c3_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c2_1(X81)
                | c0_1(X81) ) ) )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | c3_1(X80)
                | c2_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c2_1(X79)
                | c1_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c2_1(X78)
                | c0_1(X78) ) ) )
        & ( hskp29
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c2_1(X77)
                | c1_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c2_1(X76)
                | c0_1(X76) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | ~ c0_1(X75)
                | c3_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c2_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp3
          | hskp15
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c1_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp27
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c1_1(X71)
                | c2_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c1_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp2
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | c3_1(X69)
                | c2_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c1_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp18
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c3_1(X67)
                | c1_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | ~ c1_1(X66)
                | c0_1(X66) ) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c0_1(X65)
                | c2_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | ~ c0_1(X64)
                | c1_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | c3_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp17
          | hskp29
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | c3_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp16
          | hskp15
          | ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | c3_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp14
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | c3_1(X60)
                | c2_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | c3_1(X59)
                | c0_1(X59) ) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c0_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | c3_1(X56)
                | c0_1(X56) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | ~ c1_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c0_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | c2_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp11
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | ~ c0_1(X52)
                | c2_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | c2_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp13
          | ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | c3_1(X50)
                | c2_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | c2_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp10
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c3_1(X48)
                | c1_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | c2_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp12
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c2_1(X46)
                | c1_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | c2_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp28
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c2_1(X44)
                | ~ c0_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp11
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c0_1(X42)
                | c1_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp10
          | hskp9
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c1_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp8
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | ~ c0_1(X39)
                | c3_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c1_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp0
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | ~ c1_1(X37)
                | c2_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c1_1(X36)
                | c0_1(X36) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c3_1(X35)
                | c2_1(X35)
                | c1_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | ~ c1_1(X34)
                | c0_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c1_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp7
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | c3_1(X32)
                | c0_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c1_1(X31)
                | c0_1(X31) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c3_1(X30)
                | c2_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c3_1(X29)
                | c0_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | c1_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp6
          | hskp5
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | c1_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp4
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c2_1(X26)
                | ~ c1_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | c1_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp27
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | ~ c1_1(X24)
                | c0_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | c1_1(X23)
                | c0_1(X23) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c1_1(X22)
                | ~ c0_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c1_1(X21)
                | c0_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp3
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c2_1(X19)
                | c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp2
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c2_1(X17)
                | ~ c0_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c3_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp1
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c2_1(X15)
                | c1_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | ~ c0_1(X13)
                | c1_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c3_1(X12)
                | c2_1(X12)
                | c1_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c1_1(X10)
                | c0_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | c3_1(X9)
                | c0_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c3_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp0
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c2_1(X7)
                | c1_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | c3_1(X5)
                | c2_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c0_1(X4)
                | c1_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | c3_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a2208)
            & c1_1(a2208)
            & c0_1(a2208)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a2196)
            & c2_1(a2196)
            & c1_1(a2196)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a2188)
            & c1_1(a2188)
            & c0_1(a2188)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a2178)
            & c2_1(a2178)
            & c0_1(a2178)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a2268)
            & ~ c0_1(a2268)
            & c1_1(a2268)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a2265)
            & c3_1(a2265)
            & c1_1(a2265)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c0_1(a2262)
            & c3_1(a2262)
            & c1_1(a2262)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a2248)
            & ~ c1_1(a2248)
            & ~ c0_1(a2248)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a2219)
            & ~ c1_1(a2219)
            & c2_1(a2219)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a2216)
            & ~ c2_1(a2216)
            & c0_1(a2216)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a2213)
            & c1_1(a2213)
            & c0_1(a2213)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a2211)
            & ~ c2_1(a2211)
            & ~ c0_1(a2211)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a2198)
            & ~ c1_1(a2198)
            & c0_1(a2198)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a2197)
            & c3_1(a2197)
            & c2_1(a2197)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a2195)
            & ~ c2_1(a2195)
            & ~ c1_1(a2195)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a2194)
            & c3_1(a2194)
            & c0_1(a2194)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a2193)
            & ~ c1_1(a2193)
            & c3_1(a2193)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a2191)
            & ~ c1_1(a2191)
            & c0_1(a2191)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a2189)
            & ~ c2_1(a2189)
            & c1_1(a2189)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a2187)
            & c2_1(a2187)
            & c0_1(a2187)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a2186)
            & ~ c0_1(a2186)
            & c3_1(a2186)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a2185)
            & ~ c0_1(a2185)
            & c2_1(a2185)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a2184)
            & c1_1(a2184)
            & c0_1(a2184)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c0_1(a2182)
            & c3_1(a2182)
            & c2_1(a2182)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a2181)
            & c2_1(a2181)
            & c1_1(a2181)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c1_1(a2180)
            & c3_1(a2180)
            & c0_1(a2180)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a2179)
            & c2_1(a2179)
            & c0_1(a2179)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a2177)
            & ~ c1_1(a2177)
            & ~ c0_1(a2177)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a2176)
            & ~ c0_1(a2176)
            & c1_1(a2176)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a2175)
            & ~ c0_1(a2175)
            & c2_1(a2175)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c0_1(a2174)
            & c2_1(a2174)
            & c1_1(a2174)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp16
        | hskp3
        | hskp17 )
      & ( hskp9
        | hskp2
        | hskp24 )
      & ( hskp17
        | hskp26
        | hskp24 )
      & ( hskp22
        | hskp25
        | hskp21 )
      & ( hskp14
        | hskp24
        | hskp13 )
      & ( hskp10
        | hskp0
        | hskp13 )
      & ( hskp16
        | hskp3
        | hskp15 )
      & ( hskp16
        | hskp19
        | hskp5 )
      & ( hskp19
        | hskp2
        | hskp5 )
      & ( hskp23
        | hskp4
        | hskp8 )
      & ( hskp19
        | hskp13
        | ! [X124] :
            ( ndr1_0
           => ( ~ c3_1(X124)
              | ~ c2_1(X124)
              | ~ c1_1(X124) ) ) )
      & ( hskp16
        | hskp27
        | ! [X123] :
            ( ndr1_0
           => ( ~ c3_1(X123)
              | ~ c2_1(X123)
              | ~ c1_1(X123) ) ) )
      & ( hskp1
        | hskp11
        | ! [X122] :
            ( ndr1_0
           => ( ~ c3_1(X122)
              | ~ c2_1(X122)
              | ~ c0_1(X122) ) ) )
      & ( hskp22
        | hskp27
        | ! [X121] :
            ( ndr1_0
           => ( ~ c3_1(X121)
              | ~ c1_1(X121)
              | ~ c0_1(X121) ) ) )
      & ( hskp22
        | hskp0
        | ! [X120] :
            ( ndr1_0
           => ( ~ c2_1(X120)
              | ~ c1_1(X120)
              | c3_1(X120) ) ) )
      & ( hskp7
        | ! [X119] :
            ( ndr1_0
           => ( ~ c3_1(X119)
              | ~ c2_1(X119)
              | ~ c0_1(X119) ) )
        | ! [X118] :
            ( ndr1_0
           => ( ~ c2_1(X118)
              | ~ c1_1(X118)
              | c3_1(X118) ) ) )
      & ( hskp10
        | hskp11
        | ! [X117] :
            ( ndr1_0
           => ( ~ c2_1(X117)
              | ~ c0_1(X117)
              | c3_1(X117) ) ) )
      & ( hskp9
        | hskp29
        | ! [X116] :
            ( ndr1_0
           => ( ~ c1_1(X116)
              | ~ c0_1(X116)
              | c3_1(X116) ) ) )
      & ( hskp10
        | hskp17
        | ! [X115] :
            ( ndr1_0
           => ( ~ c1_1(X115)
              | ~ c0_1(X115)
              | c2_1(X115) ) ) )
      & ( hskp12
        | ! [X114] :
            ( ndr1_0
           => ( ~ c2_1(X114)
              | ~ c1_1(X114)
              | ~ c0_1(X114) ) )
        | ! [X113] :
            ( ndr1_0
           => ( ~ c1_1(X113)
              | ~ c0_1(X113)
              | c2_1(X113) ) ) )
      & ( hskp18
        | ! [X112] :
            ( ndr1_0
           => ( ~ c1_1(X112)
              | ~ c0_1(X112)
              | c3_1(X112) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c1_1(X111)
              | ~ c0_1(X111)
              | c2_1(X111) ) ) )
      & ( hskp16
        | hskp13
        | ! [X110] :
            ( ndr1_0
           => ( ~ c1_1(X110)
              | c3_1(X110)
              | c2_1(X110) ) ) )
      & ( hskp16
        | hskp20
        | ! [X109] :
            ( ndr1_0
           => ( ~ c1_1(X109)
              | c3_1(X109)
              | c2_1(X109) ) ) )
      & ( hskp27
        | ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c2_1(X108)
              | ~ c0_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c3_1(X107)
              | ~ c2_1(X107)
              | c1_1(X107) ) ) )
      & ( hskp16
        | hskp13
        | ! [X106] :
            ( ndr1_0
           => ( ~ c3_1(X106)
              | ~ c0_1(X106)
              | c1_1(X106) ) ) )
      & ( hskp22
        | hskp28
        | ! [X105] :
            ( ndr1_0
           => ( ~ c2_1(X105)
              | ~ c0_1(X105)
              | c1_1(X105) ) ) )
      & ( hskp10
        | ! [X104] :
            ( ndr1_0
           => ( ~ c3_1(X104)
              | ~ c2_1(X104)
              | c1_1(X104) ) )
        | ! [X103] :
            ( ndr1_0
           => ( ~ c2_1(X103)
              | ~ c0_1(X103)
              | c1_1(X103) ) ) )
      & ( hskp21
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | c1_1(X102) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c2_1(X101)
              | ~ c0_1(X101)
              | c1_1(X101) ) ) )
      & ( ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c1_1(X100)
              | ~ c0_1(X100) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c1_1(X99)
              | ~ c0_1(X99)
              | c3_1(X99) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c2_1(X98)
              | c3_1(X98)
              | c1_1(X98) ) ) )
      & ( hskp0
        | hskp15
        | ! [X97] :
            ( ndr1_0
           => ( ~ c0_1(X97)
              | c3_1(X97)
              | c1_1(X97) ) ) )
      & ( hskp20
        | hskp28
        | ! [X96] :
            ( ndr1_0
           => ( ~ c0_1(X96)
              | c3_1(X96)
              | c1_1(X96) ) ) )
      & ( hskp19
        | ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c0_1(X95)
              | c1_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c0_1(X94)
              | c3_1(X94)
              | c1_1(X94) ) ) )
      & ( hskp16
        | ! [X93] :
            ( ndr1_0
           => ( ~ c0_1(X93)
              | c2_1(X93)
              | c1_1(X93) ) ) )
      & ( hskp1
        | hskp30
        | ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | c2_1(X92)
              | c1_1(X92) ) ) )
      & ( hskp2
        | ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | c3_1(X91)
              | c1_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | c2_1(X90)
              | c1_1(X90) ) ) )
      & ( ! [X89] :
            ( ndr1_0
           => ( ~ c3_1(X89)
              | ~ c2_1(X89)
              | ~ c0_1(X89) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c0_1(X88)
              | c1_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( c3_1(X87)
              | c2_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp28
        | ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | c3_1(X86)
              | c1_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( c3_1(X85)
              | c2_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp2
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c2_1(X84)
              | ~ c1_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c2_1(X83)
              | c0_1(X83) ) ) )
      & ( hskp16
        | ! [X82] :
            ( ndr1_0
           => ( ~ c1_1(X82)
              | ~ c0_1(X82)
              | c3_1(X82) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c2_1(X81)
              | c0_1(X81) ) ) )
      & ( ! [X80] :
            ( ndr1_0
           => ( ~ c0_1(X80)
              | c3_1(X80)
              | c2_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c2_1(X79)
              | c1_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | ~ c2_1(X78)
              | c0_1(X78) ) ) )
      & ( hskp29
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | c2_1(X77)
              | c1_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c2_1(X76)
              | c0_1(X76) ) ) )
      & ( ! [X75] :
            ( ndr1_0
           => ( ~ c2_1(X75)
              | ~ c0_1(X75)
              | c3_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c2_1(X74)
              | c1_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c2_1(X73)
              | c0_1(X73) ) ) )
      & ( hskp3
        | hskp15
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | ~ c1_1(X72)
              | c0_1(X72) ) ) )
      & ( hskp27
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c1_1(X71)
              | c2_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c2_1(X70)
              | ~ c1_1(X70)
              | c0_1(X70) ) ) )
      & ( hskp2
        | ! [X69] :
            ( ndr1_0
           => ( ~ c1_1(X69)
              | c3_1(X69)
              | c2_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c2_1(X68)
              | ~ c1_1(X68)
              | c0_1(X68) ) ) )
      & ( hskp18
        | ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | c3_1(X67)
              | c1_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c2_1(X66)
              | ~ c1_1(X66)
              | c0_1(X66) ) ) )
      & ( ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c0_1(X65)
              | c2_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c2_1(X64)
              | ~ c0_1(X64)
              | c1_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c2_1(X63)
              | c3_1(X63)
              | c0_1(X63) ) ) )
      & ( hskp17
        | hskp29
        | ! [X62] :
            ( ndr1_0
           => ( ~ c1_1(X62)
              | c3_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp16
        | hskp15
        | ! [X61] :
            ( ndr1_0
           => ( ~ c1_1(X61)
              | c3_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp14
        | ! [X60] :
            ( ndr1_0
           => ( ~ c1_1(X60)
              | c3_1(X60)
              | c2_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c1_1(X59)
              | c3_1(X59)
              | c0_1(X59) ) ) )
      & ( ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c0_1(X58)
              | c1_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | ~ c1_1(X57)
              | c0_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c1_1(X56)
              | c3_1(X56)
              | c0_1(X56) ) ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c2_1(X55)
              | ~ c1_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c0_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | c2_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp11
        | ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | ~ c0_1(X52)
              | c2_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | c2_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp13
        | ! [X50] :
            ( ndr1_0
           => ( ~ c0_1(X50)
              | c3_1(X50)
              | c2_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | c2_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp10
        | ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | c3_1(X48)
              | c1_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | c2_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp12
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | ~ c2_1(X46)
              | c1_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c1_1(X45)
              | c2_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp28
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | ~ c2_1(X44)
              | ~ c0_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c3_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp11
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | ~ c0_1(X42)
              | c1_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp10
        | hskp9
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | c1_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp8
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | ~ c0_1(X39)
              | c3_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | c1_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp0
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | ~ c1_1(X37)
              | c2_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | c1_1(X36)
              | c0_1(X36) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( c3_1(X35)
              | c2_1(X35)
              | c1_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c2_1(X34)
              | ~ c1_1(X34)
              | c0_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | c1_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp7
        | ! [X32] :
            ( ndr1_0
           => ( ~ c2_1(X32)
              | c3_1(X32)
              | c0_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | c1_1(X31)
              | c0_1(X31) ) ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c3_1(X30)
              | c2_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | c3_1(X29)
              | c0_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | c1_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp6
        | hskp5
        | ! [X27] :
            ( ndr1_0
           => ( ~ c2_1(X27)
              | c1_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp4
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | ~ c2_1(X26)
              | ~ c1_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c2_1(X25)
              | c1_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp27
        | ! [X24] :
            ( ndr1_0
           => ( ~ c2_1(X24)
              | ~ c1_1(X24)
              | c0_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c2_1(X23)
              | c1_1(X23)
              | c0_1(X23) ) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | ~ c1_1(X22)
              | ~ c0_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c2_1(X21)
              | ~ c1_1(X21)
              | c0_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp3
        | ! [X19] :
            ( ndr1_0
           => ( ~ c1_1(X19)
              | c2_1(X19)
              | c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c2_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp2
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | ~ c2_1(X17)
              | ~ c0_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c3_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp1
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | ~ c2_1(X15)
              | c1_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c3_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | ~ c0_1(X13)
              | c1_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c3_1(X12)
              | c2_1(X12)
              | c1_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | ~ c1_1(X10)
              | c0_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | c3_1(X9)
              | c0_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c3_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp0
        | ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | ~ c2_1(X7)
              | c1_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( ~ c1_1(X5)
              | c3_1(X5)
              | c2_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | ~ c0_1(X4)
              | c1_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c3_1(X2)
              | ~ c2_1(X2)
              | c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | c3_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a2208)
          & c1_1(a2208)
          & c0_1(a2208)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a2196)
          & c2_1(a2196)
          & c1_1(a2196)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c2_1(a2188)
          & c1_1(a2188)
          & c0_1(a2188)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a2178)
          & c2_1(a2178)
          & c0_1(a2178)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c2_1(a2268)
          & ~ c0_1(a2268)
          & c1_1(a2268)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c2_1(a2265)
          & c3_1(a2265)
          & c1_1(a2265)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c0_1(a2262)
          & c3_1(a2262)
          & c1_1(a2262)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c2_1(a2248)
          & ~ c1_1(a2248)
          & ~ c0_1(a2248)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a2219)
          & ~ c1_1(a2219)
          & c2_1(a2219)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a2216)
          & ~ c2_1(a2216)
          & c0_1(a2216)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a2213)
          & c1_1(a2213)
          & c0_1(a2213)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a2211)
          & ~ c2_1(a2211)
          & ~ c0_1(a2211)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a2198)
          & ~ c1_1(a2198)
          & c0_1(a2198)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c1_1(a2197)
          & c3_1(a2197)
          & c2_1(a2197)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a2195)
          & ~ c2_1(a2195)
          & ~ c1_1(a2195)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c2_1(a2194)
          & c3_1(a2194)
          & c0_1(a2194)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a2193)
          & ~ c1_1(a2193)
          & c3_1(a2193)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a2191)
          & ~ c1_1(a2191)
          & c0_1(a2191)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a2189)
          & ~ c2_1(a2189)
          & c1_1(a2189)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c1_1(a2187)
          & c2_1(a2187)
          & c0_1(a2187)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c1_1(a2186)
          & ~ c0_1(a2186)
          & c3_1(a2186)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a2185)
          & ~ c0_1(a2185)
          & c2_1(a2185)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a2184)
          & c1_1(a2184)
          & c0_1(a2184)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c0_1(a2182)
          & c3_1(a2182)
          & c2_1(a2182)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a2181)
          & c2_1(a2181)
          & c1_1(a2181)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c1_1(a2180)
          & c3_1(a2180)
          & c0_1(a2180)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a2179)
          & c2_1(a2179)
          & c0_1(a2179)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a2177)
          & ~ c1_1(a2177)
          & ~ c0_1(a2177)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a2176)
          & ~ c0_1(a2176)
          & c1_1(a2176)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a2175)
          & ~ c0_1(a2175)
          & c2_1(a2175)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c0_1(a2174)
          & c2_1(a2174)
          & c1_1(a2174)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f5105,plain,
    ( ~ spl59_94
    | ~ spl59_127
    | ~ spl59_194
    | spl59_195 ),
    inference(avatar_contradiction_clause,[],[f5103]) ).

fof(f5103,plain,
    ( $false
    | ~ spl59_94
    | ~ spl59_127
    | ~ spl59_194
    | spl59_195 ),
    inference(resolution,[],[f5009,f1433]) ).

fof(f1433,plain,
    ( c2_1(a2174)
    | ~ spl59_194 ),
    inference(avatar_component_clause,[],[f1431]) ).

fof(f1431,plain,
    ( spl59_194
  <=> c2_1(a2174) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_194])]) ).

fof(f5009,plain,
    ( ~ c2_1(a2174)
    | ~ spl59_94
    | ~ spl59_127
    | spl59_195 ),
    inference(resolution,[],[f1438,f4768]) ).

fof(f4768,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl59_94
    | ~ spl59_127 ),
    inference(duplicate_literal_removal,[],[f4751]) ).

fof(f4751,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl59_94
    | ~ spl59_127 ),
    inference(resolution,[],[f954,f805]) ).

fof(f805,plain,
    ( ! [X46] :
        ( ~ c3_1(X46)
        | c0_1(X46)
        | ~ c2_1(X46) )
    | ~ spl59_94 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f954,plain,
    ( ! [X92] :
        ( c3_1(X92)
        | c0_1(X92)
        | ~ c2_1(X92) )
    | ~ spl59_127 ),
    inference(avatar_component_clause,[],[f953]) ).

fof(f953,plain,
    ( spl59_127
  <=> ! [X92] :
        ( ~ c2_1(X92)
        | c0_1(X92)
        | c3_1(X92) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_127])]) ).

fof(f1438,plain,
    ( ~ c0_1(a2174)
    | spl59_195 ),
    inference(avatar_component_clause,[],[f1436]) ).

fof(f1436,plain,
    ( spl59_195
  <=> c0_1(a2174) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_195])]) ).

fof(f4998,plain,
    ( spl59_151
    | spl59_47
    | spl59_49
    | ~ spl59_138 ),
    inference(avatar_split_clause,[],[f4786,f1002,f601,f591,f1071]) ).

fof(f1071,plain,
    ( spl59_151
  <=> c1_1(a2211) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_151])]) ).

fof(f591,plain,
    ( spl59_47
  <=> c0_1(a2211) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_47])]) ).

fof(f601,plain,
    ( spl59_49
  <=> c3_1(a2211) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_49])]) ).

fof(f1002,plain,
    ( spl59_138
  <=> ! [X108] :
        ( c3_1(X108)
        | c0_1(X108)
        | c1_1(X108) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_138])]) ).

fof(f4786,plain,
    ( c0_1(a2211)
    | c1_1(a2211)
    | spl59_49
    | ~ spl59_138 ),
    inference(resolution,[],[f1003,f603]) ).

fof(f603,plain,
    ( ~ c3_1(a2211)
    | spl59_49 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f1003,plain,
    ( ! [X108] :
        ( c3_1(X108)
        | c0_1(X108)
        | c1_1(X108) )
    | ~ spl59_138 ),
    inference(avatar_component_clause,[],[f1002]) ).

fof(f4997,plain,
    ( spl59_157
    | spl59_163
    | ~ spl59_138
    | spl59_159 ),
    inference(avatar_split_clause,[],[f4785,f1135,f1002,f1168,f1125]) ).

fof(f1125,plain,
    ( spl59_157
  <=> c1_1(a2195) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_157])]) ).

fof(f1168,plain,
    ( spl59_163
  <=> c0_1(a2195) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_163])]) ).

fof(f1135,plain,
    ( spl59_159
  <=> c3_1(a2195) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_159])]) ).

fof(f4785,plain,
    ( c0_1(a2195)
    | c1_1(a2195)
    | ~ spl59_138
    | spl59_159 ),
    inference(resolution,[],[f1003,f1137]) ).

fof(f1137,plain,
    ( ~ c3_1(a2195)
    | spl59_159 ),
    inference(avatar_component_clause,[],[f1135]) ).

fof(f4830,plain,
    ( ~ spl59_189
    | spl59_191
    | ~ spl59_94
    | ~ spl59_190 ),
    inference(avatar_split_clause,[],[f4734,f1379,f804,f1395,f1374]) ).

fof(f1374,plain,
    ( spl59_189
  <=> c2_1(a2196) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_189])]) ).

fof(f1395,plain,
    ( spl59_191
  <=> c0_1(a2196) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_191])]) ).

fof(f1379,plain,
    ( spl59_190
  <=> c3_1(a2196) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_190])]) ).

fof(f4734,plain,
    ( c0_1(a2196)
    | ~ c2_1(a2196)
    | ~ spl59_94
    | ~ spl59_190 ),
    inference(resolution,[],[f805,f1381]) ).

fof(f1381,plain,
    ( c3_1(a2196)
    | ~ spl59_190 ),
    inference(avatar_component_clause,[],[f1379]) ).

fof(f4820,plain,
    ( ~ spl59_228
    | ~ spl59_43
    | ~ spl59_72
    | ~ spl59_220 ),
    inference(avatar_split_clause,[],[f4718,f2041,f714,f569,f2366]) ).

fof(f2366,plain,
    ( spl59_228
  <=> c2_1(a2208) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_228])]) ).

fof(f569,plain,
    ( spl59_43
  <=> c0_1(a2208) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_43])]) ).

fof(f714,plain,
    ( spl59_72
  <=> ! [X16] :
        ( ~ c3_1(X16)
        | ~ c0_1(X16)
        | ~ c2_1(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_72])]) ).

fof(f2041,plain,
    ( spl59_220
  <=> c3_1(a2208) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_220])]) ).

fof(f4718,plain,
    ( ~ c0_1(a2208)
    | ~ c2_1(a2208)
    | ~ spl59_72
    | ~ spl59_220 ),
    inference(resolution,[],[f715,f2043]) ).

fof(f2043,plain,
    ( c3_1(a2208)
    | ~ spl59_220 ),
    inference(avatar_component_clause,[],[f2041]) ).

fof(f715,plain,
    ( ! [X16] :
        ( ~ c3_1(X16)
        | ~ c0_1(X16)
        | ~ c2_1(X16) )
    | ~ spl59_72 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f4794,plain,
    ( ~ spl59_233
    | ~ spl59_236
    | ~ spl59_70
    | spl59_235 ),
    inference(avatar_split_clause,[],[f4629,f3102,f706,f3495,f3092]) ).

fof(f3092,plain,
    ( spl59_233
  <=> c0_1(a2179) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_233])]) ).

fof(f3495,plain,
    ( spl59_236
  <=> c1_1(a2179) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_236])]) ).

fof(f706,plain,
    ( spl59_70
  <=> ! [X12] :
        ( ~ c1_1(X12)
        | c3_1(X12)
        | ~ c0_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_70])]) ).

fof(f3102,plain,
    ( spl59_235
  <=> c3_1(a2179) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_235])]) ).

fof(f4629,plain,
    ( ~ c1_1(a2179)
    | ~ c0_1(a2179)
    | ~ spl59_70
    | spl59_235 ),
    inference(resolution,[],[f707,f3104]) ).

fof(f3104,plain,
    ( ~ c3_1(a2179)
    | spl59_235 ),
    inference(avatar_component_clause,[],[f3102]) ).

fof(f707,plain,
    ( ! [X12] :
        ( c3_1(X12)
        | ~ c1_1(X12)
        | ~ c0_1(X12) )
    | ~ spl59_70 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f4696,plain,
    ( ~ spl59_233
    | ~ spl59_234
    | ~ spl59_177
    | spl59_235 ),
    inference(avatar_split_clause,[],[f4422,f3102,f1258,f3097,f3092]) ).

fof(f3097,plain,
    ( spl59_234
  <=> c2_1(a2179) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_234])]) ).

fof(f1258,plain,
    ( spl59_177
  <=> ! [X7] :
        ( ~ c2_1(X7)
        | c3_1(X7)
        | ~ c0_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_177])]) ).

fof(f4422,plain,
    ( ~ c2_1(a2179)
    | ~ c0_1(a2179)
    | ~ spl59_177
    | spl59_235 ),
    inference(resolution,[],[f1259,f3104]) ).

fof(f1259,plain,
    ( ! [X7] :
        ( c3_1(X7)
        | ~ c2_1(X7)
        | ~ c0_1(X7) )
    | ~ spl59_177 ),
    inference(avatar_component_clause,[],[f1258]) ).

fof(f4693,plain,
    ( ~ spl59_62
    | spl59_64
    | ~ spl59_63
    | ~ spl59_144 ),
    inference(avatar_split_clause,[],[f4104,f1030,f676,f681,f671]) ).

fof(f671,plain,
    ( spl59_62
  <=> c1_1(a2262) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_62])]) ).

fof(f681,plain,
    ( spl59_64
  <=> c0_1(a2262) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_64])]) ).

fof(f676,plain,
    ( spl59_63
  <=> c3_1(a2262) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_63])]) ).

fof(f1030,plain,
    ( spl59_144
  <=> ! [X114] :
        ( ~ c3_1(X114)
        | c0_1(X114)
        | ~ c1_1(X114) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_144])]) ).

fof(f4104,plain,
    ( c0_1(a2262)
    | ~ c1_1(a2262)
    | ~ spl59_63
    | ~ spl59_144 ),
    inference(resolution,[],[f1031,f678]) ).

fof(f678,plain,
    ( c3_1(a2262)
    | ~ spl59_63 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f1031,plain,
    ( ! [X114] :
        ( ~ c3_1(X114)
        | c0_1(X114)
        | ~ c1_1(X114) )
    | ~ spl59_144 ),
    inference(avatar_component_clause,[],[f1030]) ).

fof(f4686,plain,
    ( ~ spl59_233
    | spl59_236
    | ~ spl59_74
    | ~ spl59_234 ),
    inference(avatar_split_clause,[],[f4261,f3097,f722,f3495,f3092]) ).

fof(f722,plain,
    ( spl59_74
  <=> ! [X21] :
        ( ~ c2_1(X21)
        | c1_1(X21)
        | ~ c0_1(X21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_74])]) ).

fof(f4261,plain,
    ( c1_1(a2179)
    | ~ c0_1(a2179)
    | ~ spl59_74
    | ~ spl59_234 ),
    inference(resolution,[],[f3099,f723]) ).

fof(f723,plain,
    ( ! [X21] :
        ( ~ c2_1(X21)
        | c1_1(X21)
        | ~ c0_1(X21) )
    | ~ spl59_74 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f3099,plain,
    ( c2_1(a2179)
    | ~ spl59_234 ),
    inference(avatar_component_clause,[],[f3097]) ).

fof(f4681,plain,
    ( ~ spl59_173
    | spl59_172
    | ~ spl59_74
    | ~ spl59_170 ),
    inference(avatar_split_clause,[],[f4244,f1220,f722,f1230,f1236]) ).

fof(f1236,plain,
    ( spl59_173
  <=> c0_1(a2197) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_173])]) ).

fof(f1230,plain,
    ( spl59_172
  <=> c1_1(a2197) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_172])]) ).

fof(f1220,plain,
    ( spl59_170
  <=> c2_1(a2197) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_170])]) ).

fof(f4244,plain,
    ( c1_1(a2197)
    | ~ c0_1(a2197)
    | ~ spl59_74
    | ~ spl59_170 ),
    inference(resolution,[],[f1222,f723]) ).

fof(f1222,plain,
    ( c2_1(a2197)
    | ~ spl59_170 ),
    inference(avatar_component_clause,[],[f1220]) ).

fof(f4603,plain,
    ( ~ spl59_86
    | ~ spl59_84
    | ~ spl59_2
    | spl59_72 ),
    inference(avatar_split_clause,[],[f334,f714,f375,f763,f771]) ).

fof(f771,plain,
    ( spl59_86
  <=> sP11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_86])]) ).

fof(f763,plain,
    ( spl59_84
  <=> sP10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_84])]) ).

fof(f334,plain,
    ! [X35] :
      ( ~ c3_1(X35)
      | ~ c2_1(X35)
      | ~ c0_1(X35)
      | ~ ndr1_0
      | ~ sP10
      | ~ sP11 ),
    inference(duplicate_literal_removal,[],[f230]) ).

fof(f230,plain,
    ! [X35] :
      ( ~ c3_1(X35)
      | ~ c2_1(X35)
      | ~ c0_1(X35)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP10
      | ~ sP11 ),
    inference(general_splitting,[],[f228,f229_D]) ).

fof(f229,plain,
    ! [X37] :
      ( c3_1(X37)
      | c2_1(X37)
      | c1_1(X37)
      | sP11 ),
    inference(cnf_transformation,[],[f229_D]) ).

fof(f229_D,plain,
    ( ! [X37] :
        ( c3_1(X37)
        | c2_1(X37)
        | c1_1(X37) )
  <=> ~ sP11 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP11])]) ).

fof(f228,plain,
    ! [X37,X35] :
      ( ~ c3_1(X35)
      | ~ c2_1(X35)
      | ~ c0_1(X35)
      | ~ ndr1_0
      | ~ ndr1_0
      | c3_1(X37)
      | c2_1(X37)
      | c1_1(X37)
      | ~ ndr1_0
      | ~ sP10 ),
    inference(general_splitting,[],[f171,f227_D]) ).

fof(f227,plain,
    ! [X36] :
      ( ~ c3_1(X36)
      | ~ c0_1(X36)
      | c1_1(X36)
      | sP10 ),
    inference(cnf_transformation,[],[f227_D]) ).

fof(f227_D,plain,
    ( ! [X36] :
        ( ~ c3_1(X36)
        | ~ c0_1(X36)
        | c1_1(X36) )
  <=> ~ sP10 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP10])]) ).

fof(f171,plain,
    ! [X36,X37,X35] :
      ( ~ c3_1(X35)
      | ~ c2_1(X35)
      | ~ c0_1(X35)
      | ~ ndr1_0
      | ~ c3_1(X36)
      | ~ c0_1(X36)
      | c1_1(X36)
      | ~ ndr1_0
      | c3_1(X37)
      | c2_1(X37)
      | c1_1(X37)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f4514,plain,
    ( ~ spl59_74
    | ~ spl59_83
    | ~ spl59_152
    | spl59_153 ),
    inference(avatar_contradiction_clause,[],[f4513]) ).

fof(f4513,plain,
    ( $false
    | ~ spl59_74
    | ~ spl59_83
    | ~ spl59_152
    | spl59_153 ),
    inference(resolution,[],[f4388,f1089]) ).

fof(f1089,plain,
    ( ~ c1_1(a2191)
    | spl59_153 ),
    inference(avatar_component_clause,[],[f1087]) ).

fof(f1087,plain,
    ( spl59_153
  <=> c1_1(a2191) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_153])]) ).

fof(f4388,plain,
    ( c1_1(a2191)
    | ~ spl59_74
    | ~ spl59_83
    | ~ spl59_152 ),
    inference(resolution,[],[f3988,f1084]) ).

fof(f1084,plain,
    ( c0_1(a2191)
    | ~ spl59_152 ),
    inference(avatar_component_clause,[],[f1082]) ).

fof(f1082,plain,
    ( spl59_152
  <=> c0_1(a2191) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_152])]) ).

fof(f3988,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl59_74
    | ~ spl59_83 ),
    inference(duplicate_literal_removal,[],[f3980]) ).

fof(f3980,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl59_74
    | ~ spl59_83 ),
    inference(resolution,[],[f723,f760]) ).

fof(f760,plain,
    ( ! [X34] :
        ( c2_1(X34)
        | c1_1(X34)
        | ~ c0_1(X34) )
    | ~ spl59_83 ),
    inference(avatar_component_clause,[],[f759]) ).

fof(f759,plain,
    ( spl59_83
  <=> ! [X34] :
        ( ~ c0_1(X34)
        | c1_1(X34)
        | c2_1(X34) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_83])]) ).

fof(f4432,plain,
    ( ~ spl59_74
    | ~ spl59_83
    | ~ spl59_180
    | spl59_182 ),
    inference(avatar_contradiction_clause,[],[f4431]) ).

fof(f4431,plain,
    ( $false
    | ~ spl59_74
    | ~ spl59_83
    | ~ spl59_180
    | spl59_182 ),
    inference(resolution,[],[f4385,f1295]) ).

fof(f1295,plain,
    ( ~ c1_1(a2180)
    | spl59_182 ),
    inference(avatar_component_clause,[],[f1293]) ).

fof(f1293,plain,
    ( spl59_182
  <=> c1_1(a2180) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_182])]) ).

fof(f4385,plain,
    ( c1_1(a2180)
    | ~ spl59_74
    | ~ spl59_83
    | ~ spl59_180 ),
    inference(resolution,[],[f3988,f1285]) ).

fof(f1285,plain,
    ( c0_1(a2180)
    | ~ spl59_180 ),
    inference(avatar_component_clause,[],[f1283]) ).

fof(f1283,plain,
    ( spl59_180
  <=> c0_1(a2180) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_180])]) ).

fof(f4220,plain,
    ( ~ spl59_184
    | spl59_60
    | ~ spl59_59
    | ~ spl59_74 ),
    inference(avatar_split_clause,[],[f3985,f722,f655,f660,f1304]) ).

fof(f1304,plain,
    ( spl59_184
  <=> c0_1(a2219) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_184])]) ).

fof(f660,plain,
    ( spl59_60
  <=> c1_1(a2219) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_60])]) ).

fof(f655,plain,
    ( spl59_59
  <=> c2_1(a2219) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_59])]) ).

fof(f3985,plain,
    ( c1_1(a2219)
    | ~ c0_1(a2219)
    | ~ spl59_59
    | ~ spl59_74 ),
    inference(resolution,[],[f723,f657]) ).

fof(f657,plain,
    ( c2_1(a2219)
    | ~ spl59_59 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f4180,plain,
    ( ~ spl59_59
    | spl59_184
    | spl59_61
    | ~ spl59_127 ),
    inference(avatar_split_clause,[],[f3825,f953,f665,f1304,f655]) ).

fof(f665,plain,
    ( spl59_61
  <=> c3_1(a2219) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_61])]) ).

fof(f3825,plain,
    ( c0_1(a2219)
    | ~ c2_1(a2219)
    | spl59_61
    | ~ spl59_127 ),
    inference(resolution,[],[f667,f954]) ).

fof(f667,plain,
    ( ~ c3_1(a2219)
    | spl59_61 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f4155,plain,
    ( ~ spl59_219
    | spl59_228
    | ~ spl59_203
    | ~ spl59_220 ),
    inference(avatar_split_clause,[],[f3708,f2041,f1547,f2366,f2036]) ).

fof(f2036,plain,
    ( spl59_219
  <=> c1_1(a2208) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_219])]) ).

fof(f1547,plain,
    ( spl59_203
  <=> ! [X53] :
        ( ~ c3_1(X53)
        | c2_1(X53)
        | ~ c1_1(X53) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_203])]) ).

fof(f3708,plain,
    ( c2_1(a2208)
    | ~ c1_1(a2208)
    | ~ spl59_203
    | ~ spl59_220 ),
    inference(resolution,[],[f1548,f2043]) ).

fof(f1548,plain,
    ( ! [X53] :
        ( ~ c3_1(X53)
        | c2_1(X53)
        | ~ c1_1(X53) )
    | ~ spl59_203 ),
    inference(avatar_component_clause,[],[f1547]) ).

fof(f4111,plain,
    ( ~ spl59_169
    | spl59_168
    | ~ spl59_167
    | ~ spl59_203 ),
    inference(avatar_split_clause,[],[f3701,f1547,f1202,f1207,f1214]) ).

fof(f1214,plain,
    ( spl59_169
  <=> c1_1(a2194) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_169])]) ).

fof(f1207,plain,
    ( spl59_168
  <=> c2_1(a2194) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_168])]) ).

fof(f1202,plain,
    ( spl59_167
  <=> c3_1(a2194) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_167])]) ).

fof(f3701,plain,
    ( c2_1(a2194)
    | ~ c1_1(a2194)
    | ~ spl59_167
    | ~ spl59_203 ),
    inference(resolution,[],[f1548,f1204]) ).

fof(f1204,plain,
    ( c3_1(a2194)
    | ~ spl59_167 ),
    inference(avatar_component_clause,[],[f1202]) ).

fof(f4061,plain,
    ( ~ spl59_156
    | spl59_50
    | spl59_52
    | ~ spl59_127 ),
    inference(avatar_split_clause,[],[f3640,f953,f617,f607,f1107]) ).

fof(f1107,plain,
    ( spl59_156
  <=> c2_1(a2177) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_156])]) ).

fof(f607,plain,
    ( spl59_50
  <=> c0_1(a2177) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_50])]) ).

fof(f617,plain,
    ( spl59_52
  <=> c3_1(a2177) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_52])]) ).

fof(f3640,plain,
    ( c0_1(a2177)
    | ~ c2_1(a2177)
    | spl59_52
    | ~ spl59_127 ),
    inference(resolution,[],[f619,f954]) ).

fof(f619,plain,
    ( ~ c3_1(a2177)
    | spl59_52 ),
    inference(avatar_component_clause,[],[f617]) ).

fof(f3971,plain,
    ( ~ spl59_81
    | spl59_89
    | ~ spl59_2
    | spl59_15 ),
    inference(avatar_split_clause,[],[f332,f440,f375,f783,f750]) ).

fof(f750,plain,
    ( spl59_81
  <=> sP8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_81])]) ).

fof(f783,plain,
    ( spl59_89
  <=> ! [X38] :
        ( ~ c0_1(X38)
        | c1_1(X38)
        | c3_1(X38) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_89])]) ).

fof(f440,plain,
    ( spl59_15
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_15])]) ).

fof(f332,plain,
    ! [X30] :
      ( hskp19
      | ~ ndr1_0
      | ~ c0_1(X30)
      | c3_1(X30)
      | c1_1(X30)
      | ~ sP8 ),
    inference(duplicate_literal_removal,[],[f224]) ).

fof(f224,plain,
    ! [X30] :
      ( hskp19
      | ~ ndr1_0
      | ~ c0_1(X30)
      | c3_1(X30)
      | c1_1(X30)
      | ~ ndr1_0
      | ~ sP8 ),
    inference(general_splitting,[],[f175,f223_D]) ).

fof(f223,plain,
    ! [X29] :
      ( ~ c2_1(X29)
      | ~ c0_1(X29)
      | c1_1(X29)
      | sP8 ),
    inference(cnf_transformation,[],[f223_D]) ).

fof(f223_D,plain,
    ( ! [X29] :
        ( ~ c2_1(X29)
        | ~ c0_1(X29)
        | c1_1(X29) )
  <=> ~ sP8 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP8])]) ).

fof(f175,plain,
    ! [X29,X30] :
      ( hskp19
      | ~ c2_1(X29)
      | ~ c0_1(X29)
      | c1_1(X29)
      | ~ ndr1_0
      | ~ c0_1(X30)
      | c3_1(X30)
      | c1_1(X30)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f3964,plain,
    ( ~ spl59_2
    | spl59_130
    | spl59_10
    | spl59_13 ),
    inference(avatar_split_clause,[],[f185,f430,f415,f966,f375]) ).

fof(f966,plain,
    ( spl59_130
  <=> ! [X94] :
        ( ~ c1_1(X94)
        | c2_1(X94)
        | c3_1(X94) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_130])]) ).

fof(f415,plain,
    ( spl59_10
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_10])]) ).

fof(f185,plain,
    ! [X14] :
      ( hskp16
      | hskp13
      | ~ c1_1(X14)
      | c3_1(X14)
      | c2_1(X14)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f3902,plain,
    ( ~ spl59_136
    | ~ spl59_2
    | spl59_212
    | spl59_4 ),
    inference(avatar_split_clause,[],[f362,f385,f1787,f375,f993]) ).

fof(f993,plain,
    ( spl59_136
  <=> sP47 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_136])]) ).

fof(f1787,plain,
    ( spl59_212
  <=> ! [X79] :
        ( ~ c1_1(X79)
        | c0_1(X79)
        | c2_1(X79) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_212])]) ).

fof(f385,plain,
    ( spl59_4
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_4])]) ).

fof(f362,plain,
    ! [X105] :
      ( hskp3
      | ~ c1_1(X105)
      | c2_1(X105)
      | c0_1(X105)
      | ~ ndr1_0
      | ~ sP47 ),
    inference(duplicate_literal_removal,[],[f302]) ).

fof(f302,plain,
    ! [X105] :
      ( hskp3
      | ~ c1_1(X105)
      | c2_1(X105)
      | c0_1(X105)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP47 ),
    inference(general_splitting,[],[f138,f301_D]) ).

fof(f301,plain,
    ! [X106] :
      ( ~ c2_1(X106)
      | c1_1(X106)
      | c0_1(X106)
      | sP47 ),
    inference(cnf_transformation,[],[f301_D]) ).

fof(f301_D,plain,
    ( ! [X106] :
        ( ~ c2_1(X106)
        | c1_1(X106)
        | c0_1(X106) )
  <=> ~ sP47 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP47])]) ).

fof(f138,plain,
    ! [X106,X105] :
      ( hskp3
      | ~ c1_1(X105)
      | c2_1(X105)
      | c0_1(X105)
      | ~ ndr1_0
      | ~ c2_1(X106)
      | c1_1(X106)
      | c0_1(X106)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f3900,plain,
    ( ~ spl59_99
    | ~ spl59_98
    | ~ spl59_2
    | spl59_177 ),
    inference(avatar_split_clause,[],[f340,f1258,f375,f821,f826]) ).

fof(f826,plain,
    ( spl59_99
  <=> sP19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_99])]) ).

fof(f821,plain,
    ( spl59_98
  <=> sP18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_98])]) ).

fof(f340,plain,
    ! [X49] :
      ( ~ c2_1(X49)
      | ~ c0_1(X49)
      | c3_1(X49)
      | ~ ndr1_0
      | ~ sP18
      | ~ sP19 ),
    inference(duplicate_literal_removal,[],[f246]) ).

fof(f246,plain,
    ! [X49] :
      ( ~ c2_1(X49)
      | ~ c0_1(X49)
      | c3_1(X49)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP18
      | ~ sP19 ),
    inference(general_splitting,[],[f244,f245_D]) ).

fof(f245,plain,
    ! [X51] :
      ( ~ c3_1(X51)
      | ~ c2_1(X51)
      | c0_1(X51)
      | sP19 ),
    inference(cnf_transformation,[],[f245_D]) ).

fof(f245_D,plain,
    ( ! [X51] :
        ( ~ c3_1(X51)
        | ~ c2_1(X51)
        | c0_1(X51) )
  <=> ~ sP19 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP19])]) ).

fof(f244,plain,
    ! [X51,X49] :
      ( ~ c2_1(X49)
      | ~ c0_1(X49)
      | c3_1(X49)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c3_1(X51)
      | ~ c2_1(X51)
      | c0_1(X51)
      | ~ ndr1_0
      | ~ sP18 ),
    inference(general_splitting,[],[f165,f243_D]) ).

fof(f243,plain,
    ! [X50] :
      ( ~ c0_1(X50)
      | c2_1(X50)
      | c1_1(X50)
      | sP18 ),
    inference(cnf_transformation,[],[f243_D]) ).

fof(f243_D,plain,
    ( ! [X50] :
        ( ~ c0_1(X50)
        | c2_1(X50)
        | c1_1(X50) )
  <=> ~ sP18 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP18])]) ).

fof(f165,plain,
    ! [X50,X51,X49] :
      ( ~ c2_1(X49)
      | ~ c0_1(X49)
      | c3_1(X49)
      | ~ ndr1_0
      | ~ c0_1(X50)
      | c2_1(X50)
      | c1_1(X50)
      | ~ ndr1_0
      | ~ c3_1(X51)
      | ~ c2_1(X51)
      | c0_1(X51)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f3867,plain,
    ( spl59_223
    | ~ spl59_221
    | ~ spl59_212
    | spl59_222 ),
    inference(avatar_split_clause,[],[f3371,f2140,f1787,f2135,f2145]) ).

fof(f2145,plain,
    ( spl59_223
  <=> c2_1(a2268) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_223])]) ).

fof(f2135,plain,
    ( spl59_221
  <=> c1_1(a2268) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_221])]) ).

fof(f2140,plain,
    ( spl59_222
  <=> c0_1(a2268) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_222])]) ).

fof(f3371,plain,
    ( ~ c1_1(a2268)
    | c2_1(a2268)
    | ~ spl59_212
    | spl59_222 ),
    inference(resolution,[],[f1788,f2142]) ).

fof(f2142,plain,
    ( ~ c0_1(a2268)
    | spl59_222 ),
    inference(avatar_component_clause,[],[f2140]) ).

fof(f1788,plain,
    ( ! [X79] :
        ( c0_1(X79)
        | ~ c1_1(X79)
        | c2_1(X79) )
    | ~ spl59_212 ),
    inference(avatar_component_clause,[],[f1787]) ).

fof(f3819,plain,
    ( ~ spl59_76
    | ~ spl59_78
    | ~ spl59_174
    | spl59_176 ),
    inference(avatar_contradiction_clause,[],[f3818]) ).

fof(f3818,plain,
    ( $false
    | ~ spl59_76
    | ~ spl59_78
    | ~ spl59_174
    | spl59_176 ),
    inference(resolution,[],[f3751,f1254]) ).

fof(f1254,plain,
    ( ~ c1_1(a2185)
    | spl59_176 ),
    inference(avatar_component_clause,[],[f1252]) ).

fof(f1252,plain,
    ( spl59_176
  <=> c1_1(a2185) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_176])]) ).

fof(f3751,plain,
    ( c1_1(a2185)
    | ~ spl59_76
    | ~ spl59_78
    | ~ spl59_174 ),
    inference(resolution,[],[f3341,f1244]) ).

fof(f1244,plain,
    ( c2_1(a2185)
    | ~ spl59_174 ),
    inference(avatar_component_clause,[],[f1242]) ).

fof(f1242,plain,
    ( spl59_174
  <=> c2_1(a2185) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_174])]) ).

fof(f3341,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl59_76
    | ~ spl59_78 ),
    inference(duplicate_literal_removal,[],[f3322]) ).

fof(f3322,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl59_76
    | ~ spl59_78 ),
    inference(resolution,[],[f731,f739]) ).

fof(f739,plain,
    ( ! [X26] :
        ( c3_1(X26)
        | c1_1(X26)
        | ~ c2_1(X26) )
    | ~ spl59_78 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f738,plain,
    ( spl59_78
  <=> ! [X26] :
        ( ~ c2_1(X26)
        | c1_1(X26)
        | c3_1(X26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_78])]) ).

fof(f731,plain,
    ( ! [X22] :
        ( ~ c3_1(X22)
        | c1_1(X22)
        | ~ c2_1(X22) )
    | ~ spl59_76 ),
    inference(avatar_component_clause,[],[f730]) ).

fof(f730,plain,
    ( spl59_76
  <=> ! [X22] :
        ( ~ c3_1(X22)
        | c1_1(X22)
        | ~ c2_1(X22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_76])]) ).

fof(f3745,plain,
    ( ~ spl59_59
    | spl59_60
    | ~ spl59_61
    | ~ spl59_76 ),
    inference(avatar_split_clause,[],[f3337,f730,f665,f660,f655]) ).

fof(f3337,plain,
    ( c1_1(a2219)
    | ~ c2_1(a2219)
    | ~ spl59_61
    | ~ spl59_76 ),
    inference(resolution,[],[f731,f666]) ).

fof(f666,plain,
    ( c3_1(a2219)
    | ~ spl59_61 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f3635,plain,
    ( spl59_14
    | spl59_4
    | spl59_13 ),
    inference(avatar_split_clause,[],[f206,f430,f385,f435]) ).

fof(f435,plain,
    ( spl59_14
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_14])]) ).

fof(f206,plain,
    ( hskp16
    | hskp3
    | hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f3634,plain,
    ( ~ spl59_123
    | ~ spl59_2
    | spl59_203
    | spl59_1 ),
    inference(avatar_split_clause,[],[f355,f371,f1547,f375,f934]) ).

fof(f934,plain,
    ( spl59_123
  <=> sP37 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_123])]) ).

fof(f371,plain,
    ( spl59_1
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_1])]) ).

fof(f355,plain,
    ! [X87] :
      ( hskp0
      | ~ c3_1(X87)
      | ~ c1_1(X87)
      | c2_1(X87)
      | ~ ndr1_0
      | ~ sP37 ),
    inference(duplicate_literal_removal,[],[f282]) ).

fof(f282,plain,
    ! [X87] :
      ( hskp0
      | ~ c3_1(X87)
      | ~ c1_1(X87)
      | c2_1(X87)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP37 ),
    inference(general_splitting,[],[f146,f281_D]) ).

fof(f281,plain,
    ! [X88] :
      ( ~ c3_1(X88)
      | c1_1(X88)
      | c0_1(X88)
      | sP37 ),
    inference(cnf_transformation,[],[f281_D]) ).

fof(f281_D,plain,
    ( ! [X88] :
        ( ~ c3_1(X88)
        | c1_1(X88)
        | c0_1(X88) )
  <=> ~ sP37 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP37])]) ).

fof(f146,plain,
    ! [X88,X87] :
      ( hskp0
      | ~ c3_1(X87)
      | ~ c1_1(X87)
      | c2_1(X87)
      | ~ ndr1_0
      | ~ c3_1(X88)
      | c1_1(X88)
      | c0_1(X88)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f3621,plain,
    ( ~ spl59_41
    | ~ spl59_66
    | ~ spl59_91
    | ~ spl59_189 ),
    inference(avatar_contradiction_clause,[],[f3620]) ).

fof(f3620,plain,
    ( $false
    | ~ spl59_41
    | ~ spl59_66
    | ~ spl59_91
    | ~ spl59_189 ),
    inference(resolution,[],[f3619,f562]) ).

fof(f562,plain,
    ( c1_1(a2196)
    | ~ spl59_41 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f560,plain,
    ( spl59_41
  <=> c1_1(a2196) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_41])]) ).

fof(f3619,plain,
    ( ~ c1_1(a2196)
    | ~ spl59_66
    | ~ spl59_91
    | ~ spl59_189 ),
    inference(resolution,[],[f1376,f2948]) ).

fof(f2948,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl59_66
    | ~ spl59_91 ),
    inference(duplicate_literal_removal,[],[f2928]) ).

fof(f2928,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl59_66
    | ~ spl59_91 ),
    inference(resolution,[],[f691,f792]) ).

fof(f792,plain,
    ( ! [X40] :
        ( ~ c3_1(X40)
        | ~ c1_1(X40)
        | ~ c2_1(X40) )
    | ~ spl59_91 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f791,plain,
    ( spl59_91
  <=> ! [X40] :
        ( ~ c3_1(X40)
        | ~ c1_1(X40)
        | ~ c2_1(X40) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_91])]) ).

fof(f691,plain,
    ( ! [X6] :
        ( c3_1(X6)
        | ~ c2_1(X6)
        | ~ c1_1(X6) )
    | ~ spl59_66 ),
    inference(avatar_component_clause,[],[f690]) ).

fof(f690,plain,
    ( spl59_66
  <=> ! [X6] :
        ( ~ c2_1(X6)
        | c3_1(X6)
        | ~ c1_1(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_66])]) ).

fof(f1376,plain,
    ( c2_1(a2196)
    | ~ spl59_189 ),
    inference(avatar_component_clause,[],[f1374]) ).

fof(f3569,plain,
    ( ~ spl59_97
    | ~ spl59_2
    | spl59_83
    | spl59_40 ),
    inference(avatar_split_clause,[],[f339,f556,f759,f375,f816]) ).

fof(f816,plain,
    ( spl59_97
  <=> sP17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_97])]) ).

fof(f556,plain,
    ( spl59_40
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_40])]) ).

fof(f339,plain,
    ! [X47] :
      ( hskp29
      | ~ c0_1(X47)
      | c2_1(X47)
      | c1_1(X47)
      | ~ ndr1_0
      | ~ sP17 ),
    inference(duplicate_literal_removal,[],[f242]) ).

fof(f242,plain,
    ! [X47] :
      ( hskp29
      | ~ c0_1(X47)
      | c2_1(X47)
      | c1_1(X47)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP17 ),
    inference(general_splitting,[],[f166,f241_D]) ).

fof(f241,plain,
    ! [X48] :
      ( ~ c3_1(X48)
      | ~ c2_1(X48)
      | c0_1(X48)
      | sP17 ),
    inference(cnf_transformation,[],[f241_D]) ).

fof(f241_D,plain,
    ( ! [X48] :
        ( ~ c3_1(X48)
        | ~ c2_1(X48)
        | c0_1(X48) )
  <=> ~ sP17 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP17])]) ).

fof(f166,plain,
    ! [X48,X47] :
      ( hskp29
      | ~ c0_1(X47)
      | c2_1(X47)
      | c1_1(X47)
      | ~ ndr1_0
      | ~ c3_1(X48)
      | ~ c2_1(X48)
      | c0_1(X48)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f3375,plain,
    ( ~ spl59_66
    | ~ spl59_91
    | ~ spl59_192
    | ~ spl59_193 ),
    inference(avatar_contradiction_clause,[],[f3374]) ).

fof(f3374,plain,
    ( $false
    | ~ spl59_66
    | ~ spl59_91
    | ~ spl59_192
    | ~ spl59_193 ),
    inference(resolution,[],[f3258,f1403]) ).

fof(f1403,plain,
    ( c1_1(a2188)
    | ~ spl59_192 ),
    inference(avatar_component_clause,[],[f1401]) ).

fof(f1401,plain,
    ( spl59_192
  <=> c1_1(a2188) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_192])]) ).

fof(f3258,plain,
    ( ~ c1_1(a2188)
    | ~ spl59_66
    | ~ spl59_91
    | ~ spl59_193 ),
    inference(resolution,[],[f2948,f1408]) ).

fof(f1408,plain,
    ( c2_1(a2188)
    | ~ spl59_193 ),
    inference(avatar_component_clause,[],[f1406]) ).

fof(f1406,plain,
    ( spl59_193
  <=> c2_1(a2188) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_193])]) ).

fof(f3281,plain,
    ( ~ spl59_73
    | ~ spl59_2
    | spl59_76
    | spl59_9 ),
    inference(avatar_split_clause,[],[f329,f410,f730,f375,f718]) ).

fof(f718,plain,
    ( spl59_73
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_73])]) ).

fof(f410,plain,
    ( spl59_9
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_9])]) ).

fof(f329,plain,
    ! [X20] :
      ( hskp10
      | ~ c3_1(X20)
      | ~ c2_1(X20)
      | c1_1(X20)
      | ~ ndr1_0
      | ~ sP4 ),
    inference(duplicate_literal_removal,[],[f216]) ).

fof(f216,plain,
    ! [X20] :
      ( hskp10
      | ~ c3_1(X20)
      | ~ c2_1(X20)
      | c1_1(X20)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP4 ),
    inference(general_splitting,[],[f180,f215_D]) ).

fof(f215,plain,
    ! [X21] :
      ( ~ c2_1(X21)
      | ~ c0_1(X21)
      | c1_1(X21)
      | sP4 ),
    inference(cnf_transformation,[],[f215_D]) ).

fof(f215_D,plain,
    ( ! [X21] :
        ( ~ c2_1(X21)
        | ~ c0_1(X21)
        | c1_1(X21) )
  <=> ~ sP4 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).

fof(f180,plain,
    ! [X21,X20] :
      ( hskp10
      | ~ c3_1(X20)
      | ~ c2_1(X20)
      | c1_1(X20)
      | ~ ndr1_0
      | ~ c2_1(X21)
      | ~ c0_1(X21)
      | c1_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f3208,plain,
    ( ~ spl59_25
    | ~ spl59_210
    | ~ spl59_66
    | spl59_211 ),
    inference(avatar_split_clause,[],[f2935,f1726,f690,f1721,f488]) ).

fof(f488,plain,
    ( spl59_25
  <=> c1_1(a2181) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_25])]) ).

fof(f1721,plain,
    ( spl59_210
  <=> c2_1(a2181) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_210])]) ).

fof(f1726,plain,
    ( spl59_211
  <=> c3_1(a2181) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_211])]) ).

fof(f2935,plain,
    ( ~ c2_1(a2181)
    | ~ c1_1(a2181)
    | ~ spl59_66
    | spl59_211 ),
    inference(resolution,[],[f691,f1728]) ).

fof(f1728,plain,
    ( ~ c3_1(a2181)
    | spl59_211 ),
    inference(avatar_component_clause,[],[f1726]) ).

fof(f3105,plain,
    ( ~ spl59_5
    | ~ spl59_235 ),
    inference(avatar_split_clause,[],[f26,f3102,f390]) ).

fof(f390,plain,
    ( spl59_5
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_5])]) ).

fof(f26,plain,
    ( ~ c3_1(a2179)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f3100,plain,
    ( ~ spl59_5
    | spl59_234 ),
    inference(avatar_split_clause,[],[f25,f3097,f390]) ).

fof(f25,plain,
    ( c2_1(a2179)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f3095,plain,
    ( ~ spl59_5
    | spl59_233 ),
    inference(avatar_split_clause,[],[f24,f3092,f390]) ).

fof(f24,plain,
    ( c0_1(a2179)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f3090,plain,
    ( spl59_158
    | spl59_163
    | spl59_159
    | ~ spl59_213 ),
    inference(avatar_split_clause,[],[f2905,f1793,f1135,f1168,f1130]) ).

fof(f1130,plain,
    ( spl59_158
  <=> c2_1(a2195) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_158])]) ).

fof(f1793,plain,
    ( spl59_213
  <=> ! [X81] :
        ( c3_1(X81)
        | c0_1(X81)
        | c2_1(X81) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_213])]) ).

fof(f2905,plain,
    ( c0_1(a2195)
    | c2_1(a2195)
    | spl59_159
    | ~ spl59_213 ),
    inference(resolution,[],[f1794,f1137]) ).

fof(f1794,plain,
    ( ! [X81] :
        ( c3_1(X81)
        | c0_1(X81)
        | c2_1(X81) )
    | ~ spl59_213 ),
    inference(avatar_component_clause,[],[f1793]) ).

fof(f3086,plain,
    ( spl59_198
    | spl59_199
    | ~ spl59_146
    | spl59_197 ),
    inference(avatar_split_clause,[],[f2890,f1462,f1038,f1472,f1467]) ).

fof(f1467,plain,
    ( spl59_198
  <=> c1_1(a2248) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_198])]) ).

fof(f1472,plain,
    ( spl59_199
  <=> c2_1(a2248) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_199])]) ).

fof(f1038,plain,
    ( spl59_146
  <=> ! [X118] :
        ( c2_1(X118)
        | c0_1(X118)
        | c1_1(X118) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_146])]) ).

fof(f1462,plain,
    ( spl59_197
  <=> c0_1(a2248) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_197])]) ).

fof(f2890,plain,
    ( c2_1(a2248)
    | c1_1(a2248)
    | ~ spl59_146
    | spl59_197 ),
    inference(resolution,[],[f1039,f1464]) ).

fof(f1464,plain,
    ( ~ c0_1(a2248)
    | spl59_197 ),
    inference(avatar_component_clause,[],[f1462]) ).

fof(f1039,plain,
    ( ! [X118] :
        ( c0_1(X118)
        | c2_1(X118)
        | c1_1(X118) )
    | ~ spl59_146 ),
    inference(avatar_component_clause,[],[f1038]) ).

fof(f3078,plain,
    ( spl59_55
    | spl59_207
    | spl59_54
    | ~ spl59_146 ),
    inference(avatar_split_clause,[],[f2878,f1038,f628,f1605,f633]) ).

fof(f633,plain,
    ( spl59_55
  <=> c1_1(a2186) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_55])]) ).

fof(f1605,plain,
    ( spl59_207
  <=> c2_1(a2186) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_207])]) ).

fof(f628,plain,
    ( spl59_54
  <=> c0_1(a2186) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_54])]) ).

fof(f2878,plain,
    ( c2_1(a2186)
    | c1_1(a2186)
    | spl59_54
    | ~ spl59_146 ),
    inference(resolution,[],[f1039,f630]) ).

fof(f630,plain,
    ( ~ c0_1(a2186)
    | spl59_54 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f2916,plain,
    ( ~ spl59_75
    | spl59_74
    | ~ spl59_2
    | spl59_16 ),
    inference(avatar_split_clause,[],[f330,f445,f375,f722,f726]) ).

fof(f726,plain,
    ( spl59_75
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_75])]) ).

fof(f445,plain,
    ( spl59_16
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_16])]) ).

fof(f330,plain,
    ! [X23] :
      ( hskp21
      | ~ ndr1_0
      | ~ c2_1(X23)
      | ~ c0_1(X23)
      | c1_1(X23)
      | ~ sP5 ),
    inference(duplicate_literal_removal,[],[f218]) ).

fof(f218,plain,
    ! [X23] :
      ( hskp21
      | ~ ndr1_0
      | ~ c2_1(X23)
      | ~ c0_1(X23)
      | c1_1(X23)
      | ~ ndr1_0
      | ~ sP5 ),
    inference(general_splitting,[],[f179,f217_D]) ).

fof(f217,plain,
    ! [X22] :
      ( ~ c3_1(X22)
      | ~ c2_1(X22)
      | c1_1(X22)
      | sP5 ),
    inference(cnf_transformation,[],[f217_D]) ).

fof(f217_D,plain,
    ( ! [X22] :
        ( ~ c3_1(X22)
        | ~ c2_1(X22)
        | c1_1(X22) )
  <=> ~ sP5 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).

fof(f179,plain,
    ! [X22,X23] :
      ( hskp21
      | ~ c3_1(X22)
      | ~ c2_1(X22)
      | c1_1(X22)
      | ~ ndr1_0
      | ~ c2_1(X23)
      | ~ c0_1(X23)
      | c1_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2914,plain,
    ( ~ spl59_2
    | spl59_85
    | spl59_10
    | spl59_13 ),
    inference(avatar_split_clause,[],[f182,f430,f415,f767,f375]) ).

fof(f767,plain,
    ( spl59_85
  <=> ! [X36] :
        ( ~ c3_1(X36)
        | c1_1(X36)
        | ~ c0_1(X36) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_85])]) ).

fof(f182,plain,
    ! [X18] :
      ( hskp16
      | hskp13
      | ~ c3_1(X18)
      | ~ c0_1(X18)
      | c1_1(X18)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2871,plain,
    ( ~ spl59_27
    | spl59_227
    | ~ spl59_94
    | ~ spl59_226 ),
    inference(avatar_split_clause,[],[f2798,f2261,f804,f2266,f497]) ).

fof(f497,plain,
    ( spl59_27
  <=> c2_1(a2182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_27])]) ).

fof(f2266,plain,
    ( spl59_227
  <=> c0_1(a2182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_227])]) ).

fof(f2261,plain,
    ( spl59_226
  <=> c3_1(a2182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_226])]) ).

fof(f2798,plain,
    ( c0_1(a2182)
    | ~ c2_1(a2182)
    | ~ spl59_94
    | ~ spl59_226 ),
    inference(resolution,[],[f805,f2263]) ).

fof(f2263,plain,
    ( c3_1(a2182)
    | ~ spl59_226 ),
    inference(avatar_component_clause,[],[f2261]) ).

fof(f2858,plain,
    ( spl59_48
    | spl59_151
    | spl59_49
    | ~ spl59_87 ),
    inference(avatar_split_clause,[],[f2786,f775,f601,f1071,f596]) ).

fof(f596,plain,
    ( spl59_48
  <=> c2_1(a2211) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_48])]) ).

fof(f775,plain,
    ( spl59_87
  <=> ! [X37] :
        ( c3_1(X37)
        | c1_1(X37)
        | c2_1(X37) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_87])]) ).

fof(f2786,plain,
    ( c1_1(a2211)
    | c2_1(a2211)
    | spl59_49
    | ~ spl59_87 ),
    inference(resolution,[],[f776,f603]) ).

fof(f776,plain,
    ( ! [X37] :
        ( c3_1(X37)
        | c1_1(X37)
        | c2_1(X37) )
    | ~ spl59_87 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f2836,plain,
    ( ~ spl59_37
    | spl59_206
    | ~ spl59_74
    | ~ spl59_204 ),
    inference(avatar_split_clause,[],[f2743,f1551,f722,f1568,f542]) ).

fof(f542,plain,
    ( spl59_37
  <=> c0_1(a2178) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_37])]) ).

fof(f1568,plain,
    ( spl59_206
  <=> c1_1(a2178) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_206])]) ).

fof(f1551,plain,
    ( spl59_204
  <=> c2_1(a2178) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_204])]) ).

fof(f2743,plain,
    ( c1_1(a2178)
    | ~ c0_1(a2178)
    | ~ spl59_74
    | ~ spl59_204 ),
    inference(resolution,[],[f723,f1553]) ).

fof(f1553,plain,
    ( c2_1(a2178)
    | ~ spl59_204 ),
    inference(avatar_component_clause,[],[f1551]) ).

fof(f2793,plain,
    ( ~ spl59_29
    | spl59_229
    | ~ spl59_74
    | ~ spl59_178 ),
    inference(avatar_split_clause,[],[f2734,f1262,f722,f2379,f506]) ).

fof(f506,plain,
    ( spl59_29
  <=> c0_1(a2187) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_29])]) ).

fof(f2379,plain,
    ( spl59_229
  <=> c1_1(a2187) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_229])]) ).

fof(f1262,plain,
    ( spl59_178
  <=> c2_1(a2187) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_178])]) ).

fof(f2734,plain,
    ( c1_1(a2187)
    | ~ c0_1(a2187)
    | ~ spl59_74
    | ~ spl59_178 ),
    inference(resolution,[],[f723,f1264]) ).

fof(f1264,plain,
    ( c2_1(a2187)
    | ~ spl59_178 ),
    inference(avatar_component_clause,[],[f1262]) ).

fof(f2759,plain,
    ( ~ spl59_204
    | ~ spl59_37
    | ~ spl59_72
    | ~ spl59_205 ),
    inference(avatar_split_clause,[],[f2688,f1556,f714,f542,f1551]) ).

fof(f1556,plain,
    ( spl59_205
  <=> c3_1(a2178) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_205])]) ).

fof(f2688,plain,
    ( ~ c0_1(a2178)
    | ~ c2_1(a2178)
    | ~ spl59_72
    | ~ spl59_205 ),
    inference(resolution,[],[f1558,f715]) ).

fof(f1558,plain,
    ( c3_1(a2178)
    | ~ spl59_205 ),
    inference(avatar_component_clause,[],[f1556]) ).

fof(f2682,plain,
    ( ~ spl59_170
    | spl59_172
    | ~ spl59_76
    | ~ spl59_171 ),
    inference(avatar_split_clause,[],[f2569,f1225,f730,f1230,f1220]) ).

fof(f1225,plain,
    ( spl59_171
  <=> c3_1(a2197) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_171])]) ).

fof(f2569,plain,
    ( c1_1(a2197)
    | ~ c2_1(a2197)
    | ~ spl59_76
    | ~ spl59_171 ),
    inference(resolution,[],[f731,f1227]) ).

fof(f1227,plain,
    ( c3_1(a2197)
    | ~ spl59_171 ),
    inference(avatar_component_clause,[],[f1225]) ).

fof(f2679,plain,
    ( ~ spl59_207
    | spl59_55
    | ~ spl59_53
    | ~ spl59_76 ),
    inference(avatar_split_clause,[],[f2566,f730,f623,f633,f1605]) ).

fof(f623,plain,
    ( spl59_53
  <=> c3_1(a2186) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_53])]) ).

fof(f2566,plain,
    ( c1_1(a2186)
    | ~ c2_1(a2186)
    | ~ spl59_53
    | ~ spl59_76 ),
    inference(resolution,[],[f731,f625]) ).

fof(f625,plain,
    ( c3_1(a2186)
    | ~ spl59_53 ),
    inference(avatar_component_clause,[],[f623]) ).

fof(f2672,plain,
    ( ~ spl59_27
    | spl59_230
    | ~ spl59_76
    | ~ spl59_226 ),
    inference(avatar_split_clause,[],[f2565,f2261,f730,f2508,f497]) ).

fof(f2508,plain,
    ( spl59_230
  <=> c1_1(a2182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_230])]) ).

fof(f2565,plain,
    ( c1_1(a2182)
    | ~ c2_1(a2182)
    | ~ spl59_76
    | ~ spl59_226 ),
    inference(resolution,[],[f731,f2263]) ).

fof(f2657,plain,
    ( ~ spl59_62
    | ~ spl59_208
    | spl59_64
    | ~ spl59_101 ),
    inference(avatar_split_clause,[],[f2500,f835,f681,f1624,f671]) ).

fof(f1624,plain,
    ( spl59_208
  <=> c2_1(a2262) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_208])]) ).

fof(f835,plain,
    ( spl59_101
  <=> ! [X54] :
        ( ~ c2_1(X54)
        | c0_1(X54)
        | ~ c1_1(X54) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_101])]) ).

fof(f2500,plain,
    ( ~ c2_1(a2262)
    | ~ c1_1(a2262)
    | spl59_64
    | ~ spl59_101 ),
    inference(resolution,[],[f836,f683]) ).

fof(f683,plain,
    ( ~ c0_1(a2262)
    | spl59_64 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f836,plain,
    ( ! [X54] :
        ( c0_1(X54)
        | ~ c2_1(X54)
        | ~ c1_1(X54) )
    | ~ spl59_101 ),
    inference(avatar_component_clause,[],[f835]) ).

fof(f2655,plain,
    ( ~ spl59_2
    | spl59_108
    | spl59_12
    | spl59_13 ),
    inference(avatar_split_clause,[],[f158,f430,f425,f866,f375]) ).

fof(f866,plain,
    ( spl59_108
  <=> ! [X65] :
        ( ~ c1_1(X65)
        | c0_1(X65)
        | c3_1(X65) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_108])]) ).

fof(f425,plain,
    ( spl59_12
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_12])]) ).

fof(f158,plain,
    ! [X63] :
      ( hskp16
      | hskp15
      | ~ c1_1(X63)
      | c3_1(X63)
      | c0_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2654,plain,
    ( spl59_158
    | spl59_157
    | ~ spl59_87
    | spl59_159 ),
    inference(avatar_split_clause,[],[f2471,f1135,f775,f1125,f1130]) ).

fof(f2471,plain,
    ( c1_1(a2195)
    | c2_1(a2195)
    | ~ spl59_87
    | spl59_159 ),
    inference(resolution,[],[f776,f1137]) ).

fof(f2549,plain,
    ( spl59_48
    | ~ spl59_130
    | ~ spl59_151
    | ~ spl59_203 ),
    inference(avatar_contradiction_clause,[],[f2548]) ).

fof(f2548,plain,
    ( $false
    | spl59_48
    | ~ spl59_130
    | ~ spl59_151
    | ~ spl59_203 ),
    inference(resolution,[],[f2127,f1072]) ).

fof(f1072,plain,
    ( c1_1(a2211)
    | ~ spl59_151 ),
    inference(avatar_component_clause,[],[f1071]) ).

fof(f2127,plain,
    ( ~ c1_1(a2211)
    | spl59_48
    | ~ spl59_130
    | ~ spl59_203 ),
    inference(resolution,[],[f1931,f598]) ).

fof(f598,plain,
    ( ~ c2_1(a2211)
    | spl59_48 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f1931,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl59_130
    | ~ spl59_203 ),
    inference(duplicate_literal_removal,[],[f1916]) ).

fof(f1916,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl59_130
    | ~ spl59_203 ),
    inference(resolution,[],[f967,f1548]) ).

fof(f967,plain,
    ( ! [X94] :
        ( c3_1(X94)
        | c2_1(X94)
        | ~ c1_1(X94) )
    | ~ spl59_130 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f2547,plain,
    ( spl59_151
    | spl59_48
    | spl59_47
    | ~ spl59_146 ),
    inference(avatar_split_clause,[],[f2350,f1038,f591,f596,f1071]) ).

fof(f2350,plain,
    ( c2_1(a2211)
    | c1_1(a2211)
    | spl59_47
    | ~ spl59_146 ),
    inference(resolution,[],[f1039,f593]) ).

fof(f593,plain,
    ( ~ c0_1(a2211)
    | spl59_47 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f2544,plain,
    ( ~ spl59_131
    | spl59_133
    | ~ spl59_2
    | spl59_5 ),
    inference(avatar_split_clause,[],[f359,f390,f375,f979,f970]) ).

fof(f970,plain,
    ( spl59_131
  <=> sP43 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_131])]) ).

fof(f979,plain,
    ( spl59_133
  <=> ! [X101] :
        ( ~ c2_1(X101)
        | c0_1(X101)
        | c1_1(X101) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_133])]) ).

fof(f359,plain,
    ! [X99] :
      ( hskp4
      | ~ ndr1_0
      | ~ c2_1(X99)
      | c1_1(X99)
      | c0_1(X99)
      | ~ sP43 ),
    inference(duplicate_literal_removal,[],[f294]) ).

fof(f294,plain,
    ! [X99] :
      ( hskp4
      | ~ ndr1_0
      | ~ c2_1(X99)
      | c1_1(X99)
      | c0_1(X99)
      | ~ ndr1_0
      | ~ sP43 ),
    inference(general_splitting,[],[f141,f293_D]) ).

fof(f293,plain,
    ! [X98] :
      ( ~ c3_1(X98)
      | ~ c2_1(X98)
      | ~ c1_1(X98)
      | sP43 ),
    inference(cnf_transformation,[],[f293_D]) ).

fof(f293_D,plain,
    ( ! [X98] :
        ( ~ c3_1(X98)
        | ~ c2_1(X98)
        | ~ c1_1(X98) )
  <=> ~ sP43 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP43])]) ).

fof(f141,plain,
    ! [X98,X99] :
      ( hskp4
      | ~ c3_1(X98)
      | ~ c2_1(X98)
      | ~ c1_1(X98)
      | ~ ndr1_0
      | ~ c2_1(X99)
      | c1_1(X99)
      | c0_1(X99)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2531,plain,
    ( ~ spl59_215
    | spl59_224
    | ~ spl59_96
    | spl59_225 ),
    inference(avatar_split_clause,[],[f2320,f2204,f812,f2199,f2016]) ).

fof(f2016,plain,
    ( spl59_215
  <=> c0_1(a2216) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_215])]) ).

fof(f2199,plain,
    ( spl59_224
  <=> c2_1(a2216) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_224])]) ).

fof(f812,plain,
    ( spl59_96
  <=> ! [X44] :
        ( ~ c0_1(X44)
        | c2_1(X44)
        | c3_1(X44) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_96])]) ).

fof(f2204,plain,
    ( spl59_225
  <=> c3_1(a2216) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_225])]) ).

fof(f2320,plain,
    ( c2_1(a2216)
    | ~ c0_1(a2216)
    | ~ spl59_96
    | spl59_225 ),
    inference(resolution,[],[f813,f2206]) ).

fof(f2206,plain,
    ( ~ c3_1(a2216)
    | spl59_225 ),
    inference(avatar_component_clause,[],[f2204]) ).

fof(f813,plain,
    ( ! [X44] :
        ( c3_1(X44)
        | c2_1(X44)
        | ~ c0_1(X44) )
    | ~ spl59_96 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f2511,plain,
    ( ~ spl59_27
    | ~ spl59_230
    | ~ spl59_91
    | ~ spl59_226 ),
    inference(avatar_split_clause,[],[f2274,f2261,f791,f2508,f497]) ).

fof(f2274,plain,
    ( ~ c1_1(a2182)
    | ~ c2_1(a2182)
    | ~ spl59_91
    | ~ spl59_226 ),
    inference(resolution,[],[f2263,f792]) ).

fof(f2382,plain,
    ( ~ spl59_28
    | ~ spl59_229 ),
    inference(avatar_split_clause,[],[f54,f2379,f502]) ).

fof(f502,plain,
    ( spl59_28
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_28])]) ).

fof(f54,plain,
    ( ~ c1_1(a2187)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2377,plain,
    ( ~ spl59_200
    | ~ spl59_209
    | ~ spl59_101
    | spl59_201 ),
    inference(avatar_split_clause,[],[f2170,f1519,f835,f1664,f1514]) ).

fof(f1514,plain,
    ( spl59_200
  <=> c1_1(a2176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_200])]) ).

fof(f1664,plain,
    ( spl59_209
  <=> c2_1(a2176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_209])]) ).

fof(f1519,plain,
    ( spl59_201
  <=> c0_1(a2176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_201])]) ).

fof(f2170,plain,
    ( ~ c2_1(a2176)
    | ~ c1_1(a2176)
    | ~ spl59_101
    | spl59_201 ),
    inference(resolution,[],[f836,f1521]) ).

fof(f1521,plain,
    ( ~ c0_1(a2176)
    | spl59_201 ),
    inference(avatar_component_clause,[],[f1519]) ).

fof(f2370,plain,
    ( ~ spl59_150
    | ~ spl59_149
    | spl59_127
    | ~ spl59_2 ),
    inference(avatar_split_clause,[],[f369,f375,f953,f1052,f1057]) ).

fof(f1057,plain,
    ( spl59_150
  <=> sP58 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_150])]) ).

fof(f1052,plain,
    ( spl59_149
  <=> sP57 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_149])]) ).

fof(f369,plain,
    ! [X123] :
      ( ~ ndr1_0
      | ~ c2_1(X123)
      | c3_1(X123)
      | c0_1(X123)
      | ~ sP57
      | ~ sP58 ),
    inference(duplicate_literal_removal,[],[f324]) ).

fof(f324,plain,
    ! [X123] :
      ( ~ ndr1_0
      | ~ c2_1(X123)
      | c3_1(X123)
      | c0_1(X123)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP57
      | ~ sP58 ),
    inference(general_splitting,[],[f322,f323_D]) ).

fof(f323,plain,
    ! [X122] :
      ( ~ c3_1(X122)
      | ~ c2_1(X122)
      | c0_1(X122)
      | sP58 ),
    inference(cnf_transformation,[],[f323_D]) ).

fof(f323_D,plain,
    ( ! [X122] :
        ( ~ c3_1(X122)
        | ~ c2_1(X122)
        | c0_1(X122) )
  <=> ~ sP58 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP58])]) ).

fof(f322,plain,
    ! [X122,X123] :
      ( ~ c3_1(X122)
      | ~ c2_1(X122)
      | c0_1(X122)
      | ~ ndr1_0
      | ~ c2_1(X123)
      | c3_1(X123)
      | c0_1(X123)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP57 ),
    inference(general_splitting,[],[f131,f321_D]) ).

fof(f321,plain,
    ! [X124] :
      ( c2_1(X124)
      | c1_1(X124)
      | c0_1(X124)
      | sP57 ),
    inference(cnf_transformation,[],[f321_D]) ).

fof(f321_D,plain,
    ( ! [X124] :
        ( c2_1(X124)
        | c1_1(X124)
        | c0_1(X124) )
  <=> ~ sP57 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP57])]) ).

fof(f131,plain,
    ! [X124,X122,X123] :
      ( ~ c3_1(X122)
      | ~ c2_1(X122)
      | c0_1(X122)
      | ~ ndr1_0
      | ~ c2_1(X123)
      | c3_1(X123)
      | c0_1(X123)
      | ~ ndr1_0
      | c2_1(X124)
      | c1_1(X124)
      | c0_1(X124)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2329,plain,
    ( ~ spl59_145
    | ~ spl59_2
    | spl59_76
    | spl59_1 ),
    inference(avatar_split_clause,[],[f367,f371,f730,f375,f1034]) ).

fof(f1034,plain,
    ( spl59_145
  <=> sP54 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_145])]) ).

fof(f367,plain,
    ! [X117] :
      ( hskp0
      | ~ c3_1(X117)
      | ~ c2_1(X117)
      | c1_1(X117)
      | ~ ndr1_0
      | ~ sP54 ),
    inference(duplicate_literal_removal,[],[f316]) ).

fof(f316,plain,
    ! [X117] :
      ( hskp0
      | ~ c3_1(X117)
      | ~ c2_1(X117)
      | c1_1(X117)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP54 ),
    inference(general_splitting,[],[f133,f315_D]) ).

fof(f315,plain,
    ! [X118] :
      ( c2_1(X118)
      | c1_1(X118)
      | c0_1(X118)
      | sP54 ),
    inference(cnf_transformation,[],[f315_D]) ).

fof(f315_D,plain,
    ( ! [X118] :
        ( c2_1(X118)
        | c1_1(X118)
        | c0_1(X118) )
  <=> ~ sP54 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP54])]) ).

fof(f133,plain,
    ! [X118,X117] :
      ( hskp0
      | ~ c3_1(X117)
      | ~ c2_1(X117)
      | c1_1(X117)
      | ~ ndr1_0
      | c2_1(X118)
      | c1_1(X118)
      | c0_1(X118)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2304,plain,
    ( ~ spl59_95
    | ~ spl59_93
    | spl59_76
    | ~ spl59_2 ),
    inference(avatar_split_clause,[],[f338,f375,f730,f800,f808]) ).

fof(f808,plain,
    ( spl59_95
  <=> sP16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_95])]) ).

fof(f800,plain,
    ( spl59_93
  <=> sP15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_93])]) ).

fof(f338,plain,
    ! [X45] :
      ( ~ ndr1_0
      | ~ c3_1(X45)
      | ~ c2_1(X45)
      | c1_1(X45)
      | ~ sP15
      | ~ sP16 ),
    inference(duplicate_literal_removal,[],[f240]) ).

fof(f240,plain,
    ! [X45] :
      ( ~ ndr1_0
      | ~ c3_1(X45)
      | ~ c2_1(X45)
      | c1_1(X45)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP15
      | ~ sP16 ),
    inference(general_splitting,[],[f238,f239_D]) ).

fof(f239,plain,
    ! [X44] :
      ( ~ c0_1(X44)
      | c3_1(X44)
      | c2_1(X44)
      | sP16 ),
    inference(cnf_transformation,[],[f239_D]) ).

fof(f239_D,plain,
    ( ! [X44] :
        ( ~ c0_1(X44)
        | c3_1(X44)
        | c2_1(X44) )
  <=> ~ sP16 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP16])]) ).

fof(f238,plain,
    ! [X44,X45] :
      ( ~ c0_1(X44)
      | c3_1(X44)
      | c2_1(X44)
      | ~ ndr1_0
      | ~ c3_1(X45)
      | ~ c2_1(X45)
      | c1_1(X45)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP15 ),
    inference(general_splitting,[],[f167,f237_D]) ).

fof(f237,plain,
    ! [X46] :
      ( ~ c3_1(X46)
      | ~ c2_1(X46)
      | c0_1(X46)
      | sP15 ),
    inference(cnf_transformation,[],[f237_D]) ).

fof(f237_D,plain,
    ( ! [X46] :
        ( ~ c3_1(X46)
        | ~ c2_1(X46)
        | c0_1(X46) )
  <=> ~ sP15 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP15])]) ).

fof(f167,plain,
    ! [X46,X44,X45] :
      ( ~ c0_1(X44)
      | c3_1(X44)
      | c2_1(X44)
      | ~ ndr1_0
      | ~ c3_1(X45)
      | ~ c2_1(X45)
      | c1_1(X45)
      | ~ ndr1_0
      | ~ c3_1(X46)
      | ~ c2_1(X46)
      | c0_1(X46)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2283,plain,
    ( ~ spl59_189
    | ~ spl59_41
    | ~ spl59_91
    | ~ spl59_190 ),
    inference(avatar_split_clause,[],[f1940,f1379,f791,f560,f1374]) ).

fof(f1940,plain,
    ( ~ c1_1(a2196)
    | ~ c2_1(a2196)
    | ~ spl59_91
    | ~ spl59_190 ),
    inference(resolution,[],[f792,f1381]) ).

fof(f2279,plain,
    ( ~ spl59_204
    | ~ spl59_206
    | ~ spl59_91
    | ~ spl59_205 ),
    inference(avatar_split_clause,[],[f1939,f1556,f791,f1568,f1551]) ).

fof(f1939,plain,
    ( ~ c1_1(a2178)
    | ~ c2_1(a2178)
    | ~ spl59_91
    | ~ spl59_205 ),
    inference(resolution,[],[f792,f1558]) ).

fof(f2269,plain,
    ( ~ spl59_26
    | ~ spl59_227 ),
    inference(avatar_split_clause,[],[f38,f2266,f493]) ).

fof(f493,plain,
    ( spl59_26
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_26])]) ).

fof(f38,plain,
    ( ~ c0_1(a2182)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2264,plain,
    ( ~ spl59_26
    | spl59_226 ),
    inference(avatar_split_clause,[],[f37,f2261,f493]) ).

fof(f37,plain,
    ( c3_1(a2182)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2257,plain,
    ( ~ spl59_129
    | ~ spl59_128
    | spl59_108
    | ~ spl59_2 ),
    inference(avatar_split_clause,[],[f358,f375,f866,f957,f962]) ).

fof(f962,plain,
    ( spl59_129
  <=> sP42 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_129])]) ).

fof(f957,plain,
    ( spl59_128
  <=> sP41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_128])]) ).

fof(f358,plain,
    ! [X95] :
      ( ~ ndr1_0
      | ~ c1_1(X95)
      | c3_1(X95)
      | c0_1(X95)
      | ~ sP41
      | ~ sP42 ),
    inference(duplicate_literal_removal,[],[f292]) ).

fof(f292,plain,
    ! [X95] :
      ( ~ ndr1_0
      | ~ c1_1(X95)
      | c3_1(X95)
      | c0_1(X95)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP41
      | ~ sP42 ),
    inference(general_splitting,[],[f290,f291_D]) ).

fof(f291,plain,
    ! [X94] :
      ( ~ c1_1(X94)
      | c3_1(X94)
      | c2_1(X94)
      | sP42 ),
    inference(cnf_transformation,[],[f291_D]) ).

fof(f291_D,plain,
    ( ! [X94] :
        ( ~ c1_1(X94)
        | c3_1(X94)
        | c2_1(X94) )
  <=> ~ sP42 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP42])]) ).

fof(f290,plain,
    ! [X94,X95] :
      ( ~ c1_1(X94)
      | c3_1(X94)
      | c2_1(X94)
      | ~ ndr1_0
      | ~ c1_1(X95)
      | c3_1(X95)
      | c0_1(X95)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP41 ),
    inference(general_splitting,[],[f143,f289_D]) ).

fof(f289,plain,
    ! [X96] :
      ( ~ c3_1(X96)
      | c1_1(X96)
      | c0_1(X96)
      | sP41 ),
    inference(cnf_transformation,[],[f289_D]) ).

fof(f289_D,plain,
    ( ! [X96] :
        ( ~ c3_1(X96)
        | c1_1(X96)
        | c0_1(X96) )
  <=> ~ sP41 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP41])]) ).

fof(f143,plain,
    ! [X96,X94,X95] :
      ( ~ c1_1(X94)
      | c3_1(X94)
      | c2_1(X94)
      | ~ ndr1_0
      | ~ c1_1(X95)
      | c3_1(X95)
      | c0_1(X95)
      | ~ ndr1_0
      | ~ c3_1(X96)
      | c1_1(X96)
      | c0_1(X96)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2256,plain,
    ( ~ spl59_126
    | spl59_122
    | ~ spl59_2
    | spl59_26 ),
    inference(avatar_split_clause,[],[f357,f493,f375,f930,f949]) ).

fof(f949,plain,
    ( spl59_126
  <=> sP40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_126])]) ).

fof(f930,plain,
    ( spl59_122
  <=> ! [X86] :
        ( ~ c3_1(X86)
        | c0_1(X86)
        | c1_1(X86) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_122])]) ).

fof(f357,plain,
    ! [X93] :
      ( hskp7
      | ~ ndr1_0
      | ~ c3_1(X93)
      | c1_1(X93)
      | c0_1(X93)
      | ~ sP40 ),
    inference(duplicate_literal_removal,[],[f288]) ).

fof(f288,plain,
    ! [X93] :
      ( hskp7
      | ~ ndr1_0
      | ~ c3_1(X93)
      | c1_1(X93)
      | c0_1(X93)
      | ~ ndr1_0
      | ~ sP40 ),
    inference(general_splitting,[],[f144,f287_D]) ).

fof(f287,plain,
    ! [X92] :
      ( ~ c2_1(X92)
      | c3_1(X92)
      | c0_1(X92)
      | sP40 ),
    inference(cnf_transformation,[],[f287_D]) ).

fof(f287_D,plain,
    ( ! [X92] :
        ( ~ c2_1(X92)
        | c3_1(X92)
        | c0_1(X92) )
  <=> ~ sP40 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP40])]) ).

fof(f144,plain,
    ! [X92,X93] :
      ( hskp7
      | ~ c2_1(X92)
      | c3_1(X92)
      | c0_1(X92)
      | ~ ndr1_0
      | ~ c3_1(X93)
      | c1_1(X93)
      | c0_1(X93)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2250,plain,
    ( ~ spl59_85
    | ~ spl59_89
    | ~ spl59_130
    | ~ spl59_203
    | ~ spl59_215
    | spl59_224 ),
    inference(avatar_contradiction_clause,[],[f2249]) ).

fof(f2249,plain,
    ( $false
    | ~ spl59_85
    | ~ spl59_89
    | ~ spl59_130
    | ~ spl59_203
    | ~ spl59_215
    | spl59_224 ),
    inference(resolution,[],[f2210,f2208]) ).

fof(f2208,plain,
    ( c1_1(a2216)
    | ~ spl59_85
    | ~ spl59_89
    | ~ spl59_215 ),
    inference(resolution,[],[f2018,f1683]) ).

fof(f1683,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl59_85
    | ~ spl59_89 ),
    inference(duplicate_literal_removal,[],[f1672]) ).

fof(f1672,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl59_85
    | ~ spl59_89 ),
    inference(resolution,[],[f768,f784]) ).

fof(f784,plain,
    ( ! [X38] :
        ( c3_1(X38)
        | c1_1(X38)
        | ~ c0_1(X38) )
    | ~ spl59_89 ),
    inference(avatar_component_clause,[],[f783]) ).

fof(f768,plain,
    ( ! [X36] :
        ( ~ c3_1(X36)
        | c1_1(X36)
        | ~ c0_1(X36) )
    | ~ spl59_85 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f2018,plain,
    ( c0_1(a2216)
    | ~ spl59_215 ),
    inference(avatar_component_clause,[],[f2016]) ).

fof(f2210,plain,
    ( ~ c1_1(a2216)
    | ~ spl59_130
    | ~ spl59_203
    | spl59_224 ),
    inference(resolution,[],[f2201,f1931]) ).

fof(f2201,plain,
    ( ~ c2_1(a2216)
    | spl59_224 ),
    inference(avatar_component_clause,[],[f2199]) ).

fof(f2217,plain,
    ( ~ spl59_2
    | spl59_66
    | spl59_1
    | spl59_17 ),
    inference(avatar_split_clause,[],[f192,f450,f371,f690,f375]) ).

fof(f450,plain,
    ( spl59_17
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_17])]) ).

fof(f192,plain,
    ! [X4] :
      ( hskp22
      | hskp0
      | ~ c2_1(X4)
      | ~ c1_1(X4)
      | c3_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2207,plain,
    ( ~ spl59_16
    | ~ spl59_225 ),
    inference(avatar_split_clause,[],[f94,f2204,f445]) ).

fof(f94,plain,
    ( ~ c3_1(a2216)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2202,plain,
    ( ~ spl59_16
    | ~ spl59_224 ),
    inference(avatar_split_clause,[],[f93,f2199,f445]) ).

fof(f93,plain,
    ( ~ c2_1(a2216)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2197,plain,
    ( ~ spl59_130
    | ~ spl59_203
    | ~ spl59_216
    | spl59_218 ),
    inference(avatar_contradiction_clause,[],[f2196]) ).

fof(f2196,plain,
    ( $false
    | ~ spl59_130
    | ~ spl59_203
    | ~ spl59_216
    | spl59_218 ),
    inference(resolution,[],[f2130,f2023]) ).

fof(f2023,plain,
    ( c1_1(a2265)
    | ~ spl59_216 ),
    inference(avatar_component_clause,[],[f2021]) ).

fof(f2021,plain,
    ( spl59_216
  <=> c1_1(a2265) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_216])]) ).

fof(f2130,plain,
    ( ~ c1_1(a2265)
    | ~ spl59_130
    | ~ spl59_203
    | spl59_218 ),
    inference(resolution,[],[f1931,f2033]) ).

fof(f2033,plain,
    ( ~ c2_1(a2265)
    | spl59_218 ),
    inference(avatar_component_clause,[],[f2031]) ).

fof(f2031,plain,
    ( spl59_218
  <=> c2_1(a2265) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_218])]) ).

fof(f2149,plain,
    ( spl59_19
    | spl59_3
    | spl59_8 ),
    inference(avatar_split_clause,[],[f205,f405,f380,f460]) ).

fof(f460,plain,
    ( spl59_19
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_19])]) ).

fof(f380,plain,
    ( spl59_3
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_3])]) ).

fof(f405,plain,
    ( spl59_8
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_8])]) ).

fof(f205,plain,
    ( hskp9
    | hskp2
    | hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2148,plain,
    ( ~ spl59_21
    | ~ spl59_223 ),
    inference(avatar_split_clause,[],[f114,f2145,f470]) ).

fof(f470,plain,
    ( spl59_21
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_21])]) ).

fof(f114,plain,
    ( ~ c2_1(a2268)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2143,plain,
    ( ~ spl59_21
    | ~ spl59_222 ),
    inference(avatar_split_clause,[],[f113,f2140,f470]) ).

fof(f113,plain,
    ( ~ c0_1(a2268)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2138,plain,
    ( ~ spl59_21
    | spl59_221 ),
    inference(avatar_split_clause,[],[f112,f2135,f470]) ).

fof(f112,plain,
    ( c1_1(a2268)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2133,plain,
    ( ~ spl59_208
    | ~ spl59_62
    | ~ spl59_63
    | ~ spl59_91 ),
    inference(avatar_split_clause,[],[f1938,f791,f676,f671,f1624]) ).

fof(f1938,plain,
    ( ~ c1_1(a2262)
    | ~ c2_1(a2262)
    | ~ spl59_63
    | ~ spl59_91 ),
    inference(resolution,[],[f792,f678]) ).

fof(f2092,plain,
    ( ~ spl59_143
    | ~ spl59_142
    | spl59_127
    | ~ spl59_2 ),
    inference(avatar_split_clause,[],[f366,f375,f953,f1021,f1026]) ).

fof(f1026,plain,
    ( spl59_143
  <=> sP53 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_143])]) ).

fof(f1021,plain,
    ( spl59_142
  <=> sP52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_142])]) ).

fof(f366,plain,
    ! [X115] :
      ( ~ ndr1_0
      | ~ c2_1(X115)
      | c3_1(X115)
      | c0_1(X115)
      | ~ sP52
      | ~ sP53 ),
    inference(duplicate_literal_removal,[],[f314]) ).

fof(f314,plain,
    ! [X115] :
      ( ~ ndr1_0
      | ~ c2_1(X115)
      | c3_1(X115)
      | c0_1(X115)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP52
      | ~ sP53 ),
    inference(general_splitting,[],[f312,f313_D]) ).

fof(f313,plain,
    ! [X114] :
      ( ~ c3_1(X114)
      | ~ c1_1(X114)
      | c0_1(X114)
      | sP53 ),
    inference(cnf_transformation,[],[f313_D]) ).

fof(f313_D,plain,
    ( ! [X114] :
        ( ~ c3_1(X114)
        | ~ c1_1(X114)
        | c0_1(X114) )
  <=> ~ sP53 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP53])]) ).

fof(f312,plain,
    ! [X114,X115] :
      ( ~ c3_1(X114)
      | ~ c1_1(X114)
      | c0_1(X114)
      | ~ ndr1_0
      | ~ c2_1(X115)
      | c3_1(X115)
      | c0_1(X115)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP52 ),
    inference(general_splitting,[],[f134,f311_D]) ).

fof(f311,plain,
    ! [X116] :
      ( c3_1(X116)
      | c1_1(X116)
      | c0_1(X116)
      | sP52 ),
    inference(cnf_transformation,[],[f311_D]) ).

fof(f311_D,plain,
    ( ! [X116] :
        ( c3_1(X116)
        | c1_1(X116)
        | c0_1(X116) )
  <=> ~ sP52 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP52])]) ).

fof(f134,plain,
    ! [X116,X114,X115] :
      ( ~ c3_1(X114)
      | ~ c1_1(X114)
      | c0_1(X114)
      | ~ ndr1_0
      | ~ c2_1(X115)
      | c3_1(X115)
      | c0_1(X115)
      | ~ ndr1_0
      | c3_1(X116)
      | c1_1(X116)
      | c0_1(X116)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2044,plain,
    ( ~ spl59_42
    | spl59_220 ),
    inference(avatar_split_clause,[],[f130,f2041,f565]) ).

fof(f565,plain,
    ( spl59_42
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_42])]) ).

fof(f130,plain,
    ( c3_1(a2208)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2039,plain,
    ( ~ spl59_42
    | spl59_219 ),
    inference(avatar_split_clause,[],[f129,f2036,f565]) ).

fof(f129,plain,
    ( c1_1(a2208)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2034,plain,
    ( ~ spl59_20
    | ~ spl59_218 ),
    inference(avatar_split_clause,[],[f110,f2031,f465]) ).

fof(f465,plain,
    ( spl59_20
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_20])]) ).

fof(f110,plain,
    ( ~ c2_1(a2265)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2024,plain,
    ( ~ spl59_20
    | spl59_216 ),
    inference(avatar_split_clause,[],[f108,f2021,f465]) ).

fof(f108,plain,
    ( c1_1(a2265)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2019,plain,
    ( ~ spl59_16
    | spl59_215 ),
    inference(avatar_split_clause,[],[f92,f2016,f445]) ).

fof(f92,plain,
    ( c0_1(a2216)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2014,plain,
    ( ~ spl59_2
    | spl59_101
    | spl59_12
    | spl59_4 ),
    inference(avatar_split_clause,[],[f164,f385,f425,f835,f375]) ).

fof(f164,plain,
    ! [X52] :
      ( hskp3
      | hskp15
      | ~ c2_1(X52)
      | ~ c1_1(X52)
      | c0_1(X52)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1979,plain,
    ( ~ spl59_141
    | ~ spl59_140
    | spl59_87
    | ~ spl59_2 ),
    inference(avatar_split_clause,[],[f365,f375,f775,f1011,f1016]) ).

fof(f1016,plain,
    ( spl59_141
  <=> sP51 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_141])]) ).

fof(f1011,plain,
    ( spl59_140
  <=> sP50 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_140])]) ).

fof(f365,plain,
    ! [X112] :
      ( ~ ndr1_0
      | c3_1(X112)
      | c2_1(X112)
      | c1_1(X112)
      | ~ sP50
      | ~ sP51 ),
    inference(duplicate_literal_removal,[],[f310]) ).

fof(f310,plain,
    ! [X112] :
      ( ~ ndr1_0
      | c3_1(X112)
      | c2_1(X112)
      | c1_1(X112)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP50
      | ~ sP51 ),
    inference(general_splitting,[],[f308,f309_D]) ).

fof(f309,plain,
    ! [X111] :
      ( ~ c2_1(X111)
      | ~ c0_1(X111)
      | c1_1(X111)
      | sP51 ),
    inference(cnf_transformation,[],[f309_D]) ).

fof(f309_D,plain,
    ( ! [X111] :
        ( ~ c2_1(X111)
        | ~ c0_1(X111)
        | c1_1(X111) )
  <=> ~ sP51 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP51])]) ).

fof(f308,plain,
    ! [X111,X112] :
      ( ~ c2_1(X111)
      | ~ c0_1(X111)
      | c1_1(X111)
      | ~ ndr1_0
      | c3_1(X112)
      | c2_1(X112)
      | c1_1(X112)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP50 ),
    inference(general_splitting,[],[f135,f307_D]) ).

fof(f307,plain,
    ! [X113] :
      ( c3_1(X113)
      | c1_1(X113)
      | c0_1(X113)
      | sP50 ),
    inference(cnf_transformation,[],[f307_D]) ).

fof(f307_D,plain,
    ( ! [X113] :
        ( c3_1(X113)
        | c1_1(X113)
        | c0_1(X113) )
  <=> ~ sP50 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP50])]) ).

fof(f135,plain,
    ! [X113,X111,X112] :
      ( ~ c2_1(X111)
      | ~ c0_1(X111)
      | c1_1(X111)
      | ~ ndr1_0
      | c3_1(X112)
      | c2_1(X112)
      | c1_1(X112)
      | ~ ndr1_0
      | c3_1(X113)
      | c1_1(X113)
      | c0_1(X113)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1978,plain,
    ( ~ spl59_139
    | spl59_138
    | ~ spl59_2
    | spl59_22 ),
    inference(avatar_split_clause,[],[f364,f475,f375,f1002,f1006]) ).

fof(f1006,plain,
    ( spl59_139
  <=> sP49 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_139])]) ).

fof(f475,plain,
    ( spl59_22
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_22])]) ).

fof(f364,plain,
    ! [X110] :
      ( hskp1
      | ~ ndr1_0
      | c3_1(X110)
      | c1_1(X110)
      | c0_1(X110)
      | ~ sP49 ),
    inference(duplicate_literal_removal,[],[f306]) ).

fof(f306,plain,
    ! [X110] :
      ( hskp1
      | ~ ndr1_0
      | c3_1(X110)
      | c1_1(X110)
      | c0_1(X110)
      | ~ ndr1_0
      | ~ sP49 ),
    inference(general_splitting,[],[f136,f305_D]) ).

fof(f305,plain,
    ! [X109] :
      ( ~ c3_1(X109)
      | ~ c2_1(X109)
      | c1_1(X109)
      | sP49 ),
    inference(cnf_transformation,[],[f305_D]) ).

fof(f305_D,plain,
    ( ! [X109] :
        ( ~ c3_1(X109)
        | ~ c2_1(X109)
        | c1_1(X109) )
  <=> ~ sP49 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP49])]) ).

fof(f136,plain,
    ! [X109,X110] :
      ( hskp1
      | ~ c3_1(X109)
      | ~ c2_1(X109)
      | c1_1(X109)
      | ~ ndr1_0
      | c3_1(X110)
      | c1_1(X110)
      | c0_1(X110)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1962,plain,
    ( ~ spl59_132
    | ~ spl59_2
    | spl59_101
    | spl59_36 ),
    inference(avatar_split_clause,[],[f360,f538,f835,f375,f975]) ).

fof(f975,plain,
    ( spl59_132
  <=> sP44 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_132])]) ).

fof(f538,plain,
    ( spl59_36
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_36])]) ).

fof(f360,plain,
    ! [X100] :
      ( hskp27
      | ~ c2_1(X100)
      | ~ c1_1(X100)
      | c0_1(X100)
      | ~ ndr1_0
      | ~ sP44 ),
    inference(duplicate_literal_removal,[],[f296]) ).

fof(f296,plain,
    ! [X100] :
      ( hskp27
      | ~ c2_1(X100)
      | ~ c1_1(X100)
      | c0_1(X100)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP44 ),
    inference(general_splitting,[],[f140,f295_D]) ).

fof(f295,plain,
    ! [X101] :
      ( ~ c2_1(X101)
      | c1_1(X101)
      | c0_1(X101)
      | sP44 ),
    inference(cnf_transformation,[],[f295_D]) ).

fof(f295_D,plain,
    ( ! [X101] :
        ( ~ c2_1(X101)
        | c1_1(X101)
        | c0_1(X101) )
  <=> ~ sP44 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP44])]) ).

fof(f140,plain,
    ! [X101,X100] :
      ( hskp27
      | ~ c2_1(X100)
      | ~ c1_1(X100)
      | c0_1(X100)
      | ~ ndr1_0
      | ~ c2_1(X101)
      | c1_1(X101)
      | c0_1(X101)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1933,plain,
    ( ~ spl59_208
    | spl59_64
    | ~ spl59_63
    | ~ spl59_94 ),
    inference(avatar_split_clause,[],[f1865,f804,f676,f681,f1624]) ).

fof(f1865,plain,
    ( c0_1(a2262)
    | ~ c2_1(a2262)
    | ~ spl59_63
    | ~ spl59_94 ),
    inference(resolution,[],[f805,f678]) ).

fof(f1902,plain,
    ( ~ spl59_207
    | spl59_54
    | ~ spl59_53
    | ~ spl59_94 ),
    inference(avatar_split_clause,[],[f1864,f804,f623,f628,f1605]) ).

fof(f1864,plain,
    ( c0_1(a2186)
    | ~ c2_1(a2186)
    | ~ spl59_53
    | ~ spl59_94 ),
    inference(resolution,[],[f805,f625]) ).

fof(f1846,plain,
    ( ~ spl59_90
    | spl59_94
    | ~ spl59_2
    | spl59_3 ),
    inference(avatar_split_clause,[],[f336,f380,f375,f804,f787]) ).

fof(f787,plain,
    ( spl59_90
  <=> sP13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_90])]) ).

fof(f336,plain,
    ! [X41] :
      ( hskp2
      | ~ ndr1_0
      | ~ c3_1(X41)
      | ~ c2_1(X41)
      | c0_1(X41)
      | ~ sP13 ),
    inference(duplicate_literal_removal,[],[f234]) ).

fof(f234,plain,
    ! [X41] :
      ( hskp2
      | ~ ndr1_0
      | ~ c3_1(X41)
      | ~ c2_1(X41)
      | c0_1(X41)
      | ~ ndr1_0
      | ~ sP13 ),
    inference(general_splitting,[],[f169,f233_D]) ).

fof(f233,plain,
    ! [X40] :
      ( ~ c3_1(X40)
      | ~ c2_1(X40)
      | ~ c1_1(X40)
      | sP13 ),
    inference(cnf_transformation,[],[f233_D]) ).

fof(f233_D,plain,
    ( ! [X40] :
        ( ~ c3_1(X40)
        | ~ c2_1(X40)
        | ~ c1_1(X40) )
  <=> ~ sP13 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP13])]) ).

fof(f169,plain,
    ! [X40,X41] :
      ( hskp2
      | ~ c3_1(X40)
      | ~ c2_1(X40)
      | ~ c1_1(X40)
      | ~ ndr1_0
      | ~ c3_1(X41)
      | ~ c2_1(X41)
      | c0_1(X41)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1845,plain,
    ( ~ spl59_200
    | spl59_201
    | ~ spl59_108
    | spl59_202 ),
    inference(avatar_split_clause,[],[f1810,f1524,f866,f1519,f1514]) ).

fof(f1524,plain,
    ( spl59_202
  <=> c3_1(a2176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_202])]) ).

fof(f1810,plain,
    ( c0_1(a2176)
    | ~ c1_1(a2176)
    | ~ spl59_108
    | spl59_202 ),
    inference(resolution,[],[f867,f1526]) ).

fof(f1526,plain,
    ( ~ c3_1(a2176)
    | spl59_202 ),
    inference(avatar_component_clause,[],[f1524]) ).

fof(f867,plain,
    ( ! [X65] :
        ( c3_1(X65)
        | c0_1(X65)
        | ~ c1_1(X65) )
    | ~ spl59_108 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f1840,plain,
    ( ~ spl59_125
    | ~ spl59_124
    | ~ spl59_2
    | spl59_87 ),
    inference(avatar_split_clause,[],[f356,f775,f375,f939,f944]) ).

fof(f944,plain,
    ( spl59_125
  <=> sP39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_125])]) ).

fof(f939,plain,
    ( spl59_124
  <=> sP38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_124])]) ).

fof(f356,plain,
    ! [X89] :
      ( c3_1(X89)
      | c2_1(X89)
      | c1_1(X89)
      | ~ ndr1_0
      | ~ sP38
      | ~ sP39 ),
    inference(duplicate_literal_removal,[],[f286]) ).

fof(f286,plain,
    ! [X89] :
      ( c3_1(X89)
      | c2_1(X89)
      | c1_1(X89)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP38
      | ~ sP39 ),
    inference(general_splitting,[],[f284,f285_D]) ).

fof(f285,plain,
    ! [X91] :
      ( ~ c3_1(X91)
      | c1_1(X91)
      | c0_1(X91)
      | sP39 ),
    inference(cnf_transformation,[],[f285_D]) ).

fof(f285_D,plain,
    ( ! [X91] :
        ( ~ c3_1(X91)
        | c1_1(X91)
        | c0_1(X91) )
  <=> ~ sP39 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP39])]) ).

fof(f284,plain,
    ! [X91,X89] :
      ( c3_1(X89)
      | c2_1(X89)
      | c1_1(X89)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c3_1(X91)
      | c1_1(X91)
      | c0_1(X91)
      | ~ ndr1_0
      | ~ sP38 ),
    inference(general_splitting,[],[f145,f283_D]) ).

fof(f283,plain,
    ! [X90] :
      ( ~ c2_1(X90)
      | ~ c1_1(X90)
      | c0_1(X90)
      | sP38 ),
    inference(cnf_transformation,[],[f283_D]) ).

fof(f283_D,plain,
    ( ! [X90] :
        ( ~ c2_1(X90)
        | ~ c1_1(X90)
        | c0_1(X90) )
  <=> ~ sP38 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP38])]) ).

fof(f145,plain,
    ! [X90,X91,X89] :
      ( c3_1(X89)
      | c2_1(X89)
      | c1_1(X89)
      | ~ ndr1_0
      | ~ c2_1(X90)
      | ~ c1_1(X90)
      | c0_1(X90)
      | ~ ndr1_0
      | ~ c3_1(X91)
      | c1_1(X91)
      | c0_1(X91)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1796,plain,
    ( ~ spl59_120
    | spl59_213
    | ~ spl59_2
    | spl59_28 ),
    inference(avatar_split_clause,[],[f353,f502,f375,f1793,f921]) ).

fof(f921,plain,
    ( spl59_120
  <=> sP35 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_120])]) ).

fof(f353,plain,
    ! [X83] :
      ( hskp11
      | ~ ndr1_0
      | c3_1(X83)
      | c2_1(X83)
      | c0_1(X83)
      | ~ sP35 ),
    inference(duplicate_literal_removal,[],[f278]) ).

fof(f278,plain,
    ! [X83] :
      ( hskp11
      | ~ ndr1_0
      | c3_1(X83)
      | c2_1(X83)
      | c0_1(X83)
      | ~ ndr1_0
      | ~ sP35 ),
    inference(general_splitting,[],[f149,f277_D]) ).

fof(f277,plain,
    ! [X82] :
      ( ~ c3_1(X82)
      | ~ c0_1(X82)
      | c1_1(X82)
      | sP35 ),
    inference(cnf_transformation,[],[f277_D]) ).

fof(f277_D,plain,
    ( ! [X82] :
        ( ~ c3_1(X82)
        | ~ c0_1(X82)
        | c1_1(X82) )
  <=> ~ sP35 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP35])]) ).

fof(f149,plain,
    ! [X82,X83] :
      ( hskp11
      | ~ c3_1(X82)
      | ~ c0_1(X82)
      | c1_1(X82)
      | ~ ndr1_0
      | c3_1(X83)
      | c2_1(X83)
      | c0_1(X83)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1762,plain,
    ( ~ spl59_85
    | ~ spl59_89
    | ~ spl59_180
    | spl59_182 ),
    inference(avatar_contradiction_clause,[],[f1761]) ).

fof(f1761,plain,
    ( $false
    | ~ spl59_85
    | ~ spl59_89
    | ~ spl59_180
    | spl59_182 ),
    inference(resolution,[],[f1758,f1295]) ).

fof(f1758,plain,
    ( c1_1(a2180)
    | ~ spl59_85
    | ~ spl59_89
    | ~ spl59_180 ),
    inference(resolution,[],[f1683,f1285]) ).

fof(f1747,plain,
    ( ~ spl59_166
    | spl59_169
    | ~ spl59_85
    | ~ spl59_167 ),
    inference(avatar_split_clause,[],[f1677,f1202,f767,f1214,f1197]) ).

fof(f1197,plain,
    ( spl59_166
  <=> c0_1(a2194) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_166])]) ).

fof(f1677,plain,
    ( c1_1(a2194)
    | ~ c0_1(a2194)
    | ~ spl59_85
    | ~ spl59_167 ),
    inference(resolution,[],[f768,f1204]) ).

fof(f1729,plain,
    ( ~ spl59_24
    | ~ spl59_211 ),
    inference(avatar_split_clause,[],[f34,f1726,f484]) ).

fof(f484,plain,
    ( spl59_24
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_24])]) ).

fof(f34,plain,
    ( ~ c3_1(a2181)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1724,plain,
    ( ~ spl59_24
    | spl59_210 ),
    inference(avatar_split_clause,[],[f33,f1721,f484]) ).

fof(f33,plain,
    ( c2_1(a2181)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1713,plain,
    ( ~ spl59_23
    | spl59_160
    | ~ spl59_127
    | spl59_161 ),
    inference(avatar_split_clause,[],[f1651,f1147,f953,f1142,f479]) ).

fof(f479,plain,
    ( spl59_23
  <=> c2_1(a2175) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_23])]) ).

fof(f1142,plain,
    ( spl59_160
  <=> c0_1(a2175) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_160])]) ).

fof(f1147,plain,
    ( spl59_161
  <=> c3_1(a2175) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_161])]) ).

fof(f1651,plain,
    ( c0_1(a2175)
    | ~ c2_1(a2175)
    | ~ spl59_127
    | spl59_161 ),
    inference(resolution,[],[f954,f1149]) ).

fof(f1149,plain,
    ( ~ c3_1(a2175)
    | spl59_161 ),
    inference(avatar_component_clause,[],[f1147]) ).

fof(f1668,plain,
    ( ~ spl59_110
    | ~ spl59_109
    | spl59_101
    | ~ spl59_2 ),
    inference(avatar_split_clause,[],[f346,f375,f835,f870,f875]) ).

fof(f875,plain,
    ( spl59_110
  <=> sP27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_110])]) ).

fof(f870,plain,
    ( spl59_109
  <=> sP26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_109])]) ).

fof(f346,plain,
    ! [X67] :
      ( ~ ndr1_0
      | ~ c2_1(X67)
      | ~ c1_1(X67)
      | c0_1(X67)
      | ~ sP26
      | ~ sP27 ),
    inference(duplicate_literal_removal,[],[f262]) ).

fof(f262,plain,
    ! [X67] :
      ( ~ ndr1_0
      | ~ c2_1(X67)
      | ~ c1_1(X67)
      | c0_1(X67)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP26
      | ~ sP27 ),
    inference(general_splitting,[],[f260,f261_D]) ).

fof(f261,plain,
    ! [X66] :
      ( ~ c3_1(X66)
      | ~ c0_1(X66)
      | c1_1(X66)
      | sP27 ),
    inference(cnf_transformation,[],[f261_D]) ).

fof(f261_D,plain,
    ( ! [X66] :
        ( ~ c3_1(X66)
        | ~ c0_1(X66)
        | c1_1(X66) )
  <=> ~ sP27 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP27])]) ).

fof(f260,plain,
    ! [X66,X67] :
      ( ~ c3_1(X66)
      | ~ c0_1(X66)
      | c1_1(X66)
      | ~ ndr1_0
      | ~ c2_1(X67)
      | ~ c1_1(X67)
      | c0_1(X67)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP26 ),
    inference(general_splitting,[],[f156,f259_D]) ).

fof(f259,plain,
    ! [X68] :
      ( ~ c1_1(X68)
      | c3_1(X68)
      | c0_1(X68)
      | sP26 ),
    inference(cnf_transformation,[],[f259_D]) ).

fof(f259_D,plain,
    ( ! [X68] :
        ( ~ c1_1(X68)
        | c3_1(X68)
        | c0_1(X68) )
  <=> ~ sP26 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP26])]) ).

fof(f156,plain,
    ! [X68,X66,X67] :
      ( ~ c3_1(X66)
      | ~ c0_1(X66)
      | c1_1(X66)
      | ~ ndr1_0
      | ~ c2_1(X67)
      | ~ c1_1(X67)
      | c0_1(X67)
      | ~ ndr1_0
      | ~ c1_1(X68)
      | c3_1(X68)
      | c0_1(X68)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1667,plain,
    ( ~ spl59_200
    | spl59_209
    | ~ spl59_130
    | spl59_202 ),
    inference(avatar_split_clause,[],[f1636,f1524,f966,f1664,f1514]) ).

fof(f1636,plain,
    ( c2_1(a2176)
    | ~ c1_1(a2176)
    | ~ spl59_130
    | spl59_202 ),
    inference(resolution,[],[f967,f1526]) ).

fof(f1646,plain,
    ( ~ spl59_180
    | spl59_185
    | ~ spl59_105
    | ~ spl59_181 ),
    inference(avatar_split_clause,[],[f1612,f1288,f853,f1318,f1283]) ).

fof(f1318,plain,
    ( spl59_185
  <=> c2_1(a2180) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_185])]) ).

fof(f853,plain,
    ( spl59_105
  <=> ! [X59] :
        ( ~ c3_1(X59)
        | c2_1(X59)
        | ~ c0_1(X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_105])]) ).

fof(f1288,plain,
    ( spl59_181
  <=> c3_1(a2180) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_181])]) ).

fof(f1612,plain,
    ( c2_1(a2180)
    | ~ c0_1(a2180)
    | ~ spl59_105
    | ~ spl59_181 ),
    inference(resolution,[],[f854,f1290]) ).

fof(f1290,plain,
    ( c3_1(a2180)
    | ~ spl59_181 ),
    inference(avatar_component_clause,[],[f1288]) ).

fof(f854,plain,
    ( ! [X59] :
        ( ~ c3_1(X59)
        | c2_1(X59)
        | ~ c0_1(X59) )
    | ~ spl59_105 ),
    inference(avatar_component_clause,[],[f853]) ).

fof(f1628,plain,
    ( ~ spl59_107
    | ~ spl59_2
    | spl59_130
    | spl59_11 ),
    inference(avatar_split_clause,[],[f345,f420,f966,f375,f862]) ).

fof(f862,plain,
    ( spl59_107
  <=> sP25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_107])]) ).

fof(f420,plain,
    ( spl59_11
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_11])]) ).

fof(f345,plain,
    ! [X64] :
      ( hskp14
      | ~ c1_1(X64)
      | c3_1(X64)
      | c2_1(X64)
      | ~ ndr1_0
      | ~ sP25 ),
    inference(duplicate_literal_removal,[],[f258]) ).

fof(f258,plain,
    ! [X64] :
      ( hskp14
      | ~ c1_1(X64)
      | c3_1(X64)
      | c2_1(X64)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP25 ),
    inference(general_splitting,[],[f157,f257_D]) ).

fof(f257,plain,
    ! [X65] :
      ( ~ c1_1(X65)
      | c3_1(X65)
      | c0_1(X65)
      | sP25 ),
    inference(cnf_transformation,[],[f257_D]) ).

fof(f257_D,plain,
    ( ! [X65] :
        ( ~ c1_1(X65)
        | c3_1(X65)
        | c0_1(X65) )
  <=> ~ sP25 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP25])]) ).

fof(f157,plain,
    ! [X65,X64] :
      ( hskp14
      | ~ c1_1(X64)
      | c3_1(X64)
      | c2_1(X64)
      | ~ ndr1_0
      | ~ c1_1(X65)
      | c3_1(X65)
      | c0_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1627,plain,
    ( ~ spl59_62
    | spl59_208
    | ~ spl59_63
    | ~ spl59_203 ),
    inference(avatar_split_clause,[],[f1601,f1547,f676,f1624,f671]) ).

fof(f1601,plain,
    ( c2_1(a2262)
    | ~ c1_1(a2262)
    | ~ spl59_63
    | ~ spl59_203 ),
    inference(resolution,[],[f1548,f678]) ).

fof(f1609,plain,
    ( ~ spl59_106
    | ~ spl59_104
    | spl59_127
    | ~ spl59_2 ),
    inference(avatar_split_clause,[],[f344,f375,f953,f849,f857]) ).

fof(f857,plain,
    ( spl59_106
  <=> sP24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_106])]) ).

fof(f849,plain,
    ( spl59_104
  <=> sP23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_104])]) ).

fof(f344,plain,
    ! [X61] :
      ( ~ ndr1_0
      | ~ c2_1(X61)
      | c3_1(X61)
      | c0_1(X61)
      | ~ sP23
      | ~ sP24 ),
    inference(duplicate_literal_removal,[],[f256]) ).

fof(f256,plain,
    ! [X61] :
      ( ~ ndr1_0
      | ~ ndr1_0
      | ~ c2_1(X61)
      | c3_1(X61)
      | c0_1(X61)
      | ~ ndr1_0
      | ~ sP23
      | ~ sP24 ),
    inference(general_splitting,[],[f254,f255_D]) ).

fof(f255,plain,
    ! [X60] :
      ( ~ c2_1(X60)
      | ~ c0_1(X60)
      | c1_1(X60)
      | sP24 ),
    inference(cnf_transformation,[],[f255_D]) ).

fof(f255_D,plain,
    ( ! [X60] :
        ( ~ c2_1(X60)
        | ~ c0_1(X60)
        | c1_1(X60) )
  <=> ~ sP24 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP24])]) ).

fof(f254,plain,
    ! [X60,X61] :
      ( ~ ndr1_0
      | ~ c2_1(X60)
      | ~ c0_1(X60)
      | c1_1(X60)
      | ~ ndr1_0
      | ~ c2_1(X61)
      | c3_1(X61)
      | c0_1(X61)
      | ~ ndr1_0
      | ~ sP23 ),
    inference(general_splitting,[],[f160,f253_D]) ).

fof(f253,plain,
    ! [X59] :
      ( ~ c3_1(X59)
      | ~ c0_1(X59)
      | c2_1(X59)
      | sP23 ),
    inference(cnf_transformation,[],[f253_D]) ).

fof(f253_D,plain,
    ( ! [X59] :
        ( ~ c3_1(X59)
        | ~ c0_1(X59)
        | c2_1(X59) )
  <=> ~ sP23 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP23])]) ).

fof(f160,plain,
    ! [X59,X60,X61] :
      ( ~ c3_1(X59)
      | ~ c0_1(X59)
      | c2_1(X59)
      | ~ ndr1_0
      | ~ c2_1(X60)
      | ~ c0_1(X60)
      | c1_1(X60)
      | ~ ndr1_0
      | ~ c2_1(X61)
      | c3_1(X61)
      | c0_1(X61)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1593,plain,
    ( ~ spl59_188
    | ~ spl59_194
    | ~ spl59_101
    | spl59_195 ),
    inference(avatar_split_clause,[],[f1573,f1436,f835,f1431,f1357]) ).

fof(f1357,plain,
    ( spl59_188
  <=> c1_1(a2174) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_188])]) ).

fof(f1573,plain,
    ( ~ c2_1(a2174)
    | ~ c1_1(a2174)
    | ~ spl59_101
    | spl59_195 ),
    inference(resolution,[],[f836,f1438]) ).

fof(f1559,plain,
    ( ~ spl59_36
    | spl59_205 ),
    inference(avatar_split_clause,[],[f118,f1556,f538]) ).

fof(f118,plain,
    ( c3_1(a2178)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1554,plain,
    ( ~ spl59_36
    | spl59_204 ),
    inference(avatar_split_clause,[],[f117,f1551,f538]) ).

fof(f117,plain,
    ( c2_1(a2178)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1549,plain,
    ( ~ spl59_100
    | ~ spl59_2
    | spl59_203
    | spl59_36 ),
    inference(avatar_split_clause,[],[f341,f538,f1547,f375,f831]) ).

fof(f831,plain,
    ( spl59_100
  <=> sP20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_100])]) ).

fof(f341,plain,
    ! [X53] :
      ( hskp27
      | ~ c3_1(X53)
      | ~ c1_1(X53)
      | c2_1(X53)
      | ~ ndr1_0
      | ~ sP20 ),
    inference(duplicate_literal_removal,[],[f248]) ).

fof(f248,plain,
    ! [X53] :
      ( hskp27
      | ~ c3_1(X53)
      | ~ c1_1(X53)
      | c2_1(X53)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP20 ),
    inference(general_splitting,[],[f163,f247_D]) ).

fof(f247,plain,
    ! [X54] :
      ( ~ c2_1(X54)
      | ~ c1_1(X54)
      | c0_1(X54)
      | sP20 ),
    inference(cnf_transformation,[],[f247_D]) ).

fof(f247_D,plain,
    ( ! [X54] :
        ( ~ c2_1(X54)
        | ~ c1_1(X54)
        | c0_1(X54) )
  <=> ~ sP20 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP20])]) ).

fof(f163,plain,
    ! [X54,X53] :
      ( hskp27
      | ~ c3_1(X53)
      | ~ c1_1(X53)
      | c2_1(X53)
      | ~ ndr1_0
      | ~ c2_1(X54)
      | ~ c1_1(X54)
      | c0_1(X54)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1545,plain,
    ( spl59_156
    | spl59_51
    | spl59_52
    | ~ spl59_87 ),
    inference(avatar_split_clause,[],[f1536,f775,f617,f612,f1107]) ).

fof(f612,plain,
    ( spl59_51
  <=> c1_1(a2177) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_51])]) ).

fof(f1536,plain,
    ( c1_1(a2177)
    | c2_1(a2177)
    | spl59_52
    | ~ spl59_87 ),
    inference(resolution,[],[f776,f619]) ).

fof(f1530,plain,
    ( ~ spl59_88
    | spl59_87
    | ~ spl59_2
    | spl59_38 ),
    inference(avatar_split_clause,[],[f335,f547,f375,f775,f779]) ).

fof(f779,plain,
    ( spl59_88
  <=> sP12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_88])]) ).

fof(f547,plain,
    ( spl59_38
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_38])]) ).

fof(f335,plain,
    ! [X39] :
      ( hskp28
      | ~ ndr1_0
      | c3_1(X39)
      | c2_1(X39)
      | c1_1(X39)
      | ~ sP12 ),
    inference(duplicate_literal_removal,[],[f232]) ).

fof(f232,plain,
    ! [X39] :
      ( hskp28
      | ~ ndr1_0
      | c3_1(X39)
      | c2_1(X39)
      | c1_1(X39)
      | ~ ndr1_0
      | ~ sP12 ),
    inference(general_splitting,[],[f170,f231_D]) ).

fof(f231,plain,
    ! [X38] :
      ( ~ c0_1(X38)
      | c3_1(X38)
      | c1_1(X38)
      | sP12 ),
    inference(cnf_transformation,[],[f231_D]) ).

fof(f231_D,plain,
    ( ! [X38] :
        ( ~ c0_1(X38)
        | c3_1(X38)
        | c1_1(X38) )
  <=> ~ sP12 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP12])]) ).

fof(f170,plain,
    ! [X38,X39] :
      ( hskp28
      | ~ c0_1(X38)
      | c3_1(X38)
      | c1_1(X38)
      | ~ ndr1_0
      | c3_1(X39)
      | c2_1(X39)
      | c1_1(X39)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1527,plain,
    ( ~ spl59_3
    | ~ spl59_202 ),
    inference(avatar_split_clause,[],[f18,f1524,f380]) ).

fof(f18,plain,
    ( ~ c3_1(a2176)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1522,plain,
    ( ~ spl59_3
    | ~ spl59_201 ),
    inference(avatar_split_clause,[],[f17,f1519,f380]) ).

fof(f17,plain,
    ( ~ c0_1(a2176)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1517,plain,
    ( ~ spl59_3
    | spl59_200 ),
    inference(avatar_split_clause,[],[f16,f1514,f380]) ).

fof(f16,plain,
    ( c1_1(a2176)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1497,plain,
    ( ~ spl59_82
    | ~ spl59_2
    | spl59_78
    | spl59_3 ),
    inference(avatar_split_clause,[],[f333,f380,f738,f375,f755]) ).

fof(f755,plain,
    ( spl59_82
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_82])]) ).

fof(f333,plain,
    ! [X33] :
      ( hskp2
      | ~ c2_1(X33)
      | c3_1(X33)
      | c1_1(X33)
      | ~ ndr1_0
      | ~ sP9 ),
    inference(duplicate_literal_removal,[],[f226]) ).

fof(f226,plain,
    ! [X33] :
      ( hskp2
      | ~ c2_1(X33)
      | c3_1(X33)
      | c1_1(X33)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP9 ),
    inference(general_splitting,[],[f172,f225_D]) ).

fof(f225,plain,
    ! [X34] :
      ( ~ c0_1(X34)
      | c2_1(X34)
      | c1_1(X34)
      | sP9 ),
    inference(cnf_transformation,[],[f225_D]) ).

fof(f225_D,plain,
    ( ! [X34] :
        ( ~ c0_1(X34)
        | c2_1(X34)
        | c1_1(X34) )
  <=> ~ sP9 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP9])]) ).

fof(f172,plain,
    ! [X34,X33] :
      ( hskp2
      | ~ c2_1(X33)
      | c3_1(X33)
      | c1_1(X33)
      | ~ ndr1_0
      | ~ c0_1(X34)
      | c2_1(X34)
      | c1_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1475,plain,
    ( ~ spl59_18
    | ~ spl59_199 ),
    inference(avatar_split_clause,[],[f102,f1472,f455]) ).

fof(f455,plain,
    ( spl59_18
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_18])]) ).

fof(f102,plain,
    ( ~ c2_1(a2248)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1470,plain,
    ( ~ spl59_18
    | ~ spl59_198 ),
    inference(avatar_split_clause,[],[f101,f1467,f455]) ).

fof(f101,plain,
    ( ~ c1_1(a2248)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1465,plain,
    ( ~ spl59_18
    | ~ spl59_197 ),
    inference(avatar_split_clause,[],[f100,f1462,f455]) ).

fof(f100,plain,
    ( ~ c0_1(a2248)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1460,plain,
    ( ~ spl59_44
    | ~ spl59_45
    | ~ spl59_115
    | spl59_179 ),
    inference(avatar_split_clause,[],[f1412,f1277,f897,f580,f575]) ).

fof(f575,plain,
    ( spl59_44
  <=> c0_1(a2184) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_44])]) ).

fof(f580,plain,
    ( spl59_45
  <=> c1_1(a2184) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_45])]) ).

fof(f897,plain,
    ( spl59_115
  <=> ! [X72] :
        ( ~ c1_1(X72)
        | c2_1(X72)
        | ~ c0_1(X72) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_115])]) ).

fof(f1277,plain,
    ( spl59_179
  <=> c2_1(a2184) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_179])]) ).

fof(f1412,plain,
    ( ~ c1_1(a2184)
    | ~ c0_1(a2184)
    | ~ spl59_115
    | spl59_179 ),
    inference(resolution,[],[f898,f1279]) ).

fof(f1279,plain,
    ( ~ c2_1(a2184)
    | spl59_179 ),
    inference(avatar_component_clause,[],[f1277]) ).

fof(f898,plain,
    ( ! [X72] :
        ( c2_1(X72)
        | ~ c1_1(X72)
        | ~ c0_1(X72) )
    | ~ spl59_115 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f1459,plain,
    ( ~ spl59_71
    | spl59_76
    | ~ spl59_2
    | spl59_36 ),
    inference(avatar_split_clause,[],[f328,f538,f375,f730,f710]) ).

fof(f710,plain,
    ( spl59_71
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_71])]) ).

fof(f328,plain,
    ! [X17] :
      ( hskp27
      | ~ ndr1_0
      | ~ c3_1(X17)
      | ~ c2_1(X17)
      | c1_1(X17)
      | ~ sP3 ),
    inference(duplicate_literal_removal,[],[f214]) ).

fof(f214,plain,
    ! [X17] :
      ( hskp27
      | ~ ndr1_0
      | ~ c3_1(X17)
      | ~ c2_1(X17)
      | c1_1(X17)
      | ~ ndr1_0
      | ~ sP3 ),
    inference(general_splitting,[],[f183,f213_D]) ).

fof(f213,plain,
    ! [X16] :
      ( ~ c3_1(X16)
      | ~ c2_1(X16)
      | ~ c0_1(X16)
      | sP3 ),
    inference(cnf_transformation,[],[f213_D]) ).

fof(f213_D,plain,
    ( ! [X16] :
        ( ~ c3_1(X16)
        | ~ c2_1(X16)
        | ~ c0_1(X16) )
  <=> ~ sP3 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).

fof(f183,plain,
    ! [X16,X17] :
      ( hskp27
      | ~ c3_1(X16)
      | ~ c2_1(X16)
      | ~ c0_1(X16)
      | ~ ndr1_0
      | ~ c3_1(X17)
      | ~ c2_1(X17)
      | c1_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1439,plain,
    ( ~ spl59_1
    | ~ spl59_195 ),
    inference(avatar_split_clause,[],[f10,f1436,f371]) ).

fof(f10,plain,
    ( ~ c0_1(a2174)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1434,plain,
    ( ~ spl59_1
    | spl59_194 ),
    inference(avatar_split_clause,[],[f9,f1431,f371]) ).

fof(f9,plain,
    ( c2_1(a2174)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1429,plain,
    ( ~ spl59_39
    | ~ spl59_72
    | ~ spl59_177
    | ~ spl59_193 ),
    inference(avatar_contradiction_clause,[],[f1428]) ).

fof(f1428,plain,
    ( $false
    | ~ spl59_39
    | ~ spl59_72
    | ~ spl59_177
    | ~ spl59_193 ),
    inference(resolution,[],[f1425,f553]) ).

fof(f553,plain,
    ( c0_1(a2188)
    | ~ spl59_39 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f551,plain,
    ( spl59_39
  <=> c0_1(a2188) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_39])]) ).

fof(f1425,plain,
    ( ~ c0_1(a2188)
    | ~ spl59_72
    | ~ spl59_177
    | ~ spl59_193 ),
    inference(resolution,[],[f1393,f1408]) ).

fof(f1393,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl59_72
    | ~ spl59_177 ),
    inference(duplicate_literal_removal,[],[f1386]) ).

fof(f1386,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl59_72
    | ~ spl59_177 ),
    inference(resolution,[],[f715,f1259]) ).

fof(f1409,plain,
    ( ~ spl59_38
    | spl59_193 ),
    inference(avatar_split_clause,[],[f122,f1406,f547]) ).

fof(f122,plain,
    ( c2_1(a2188)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1404,plain,
    ( ~ spl59_38
    | spl59_192 ),
    inference(avatar_split_clause,[],[f121,f1401,f547]) ).

fof(f121,plain,
    ( c1_1(a2188)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1399,plain,
    ( ~ spl59_2
    | spl59_115
    | spl59_14
    | spl59_9 ),
    inference(avatar_split_clause,[],[f188,f410,f435,f897,f375]) ).

fof(f188,plain,
    ! [X9] :
      ( hskp10
      | hskp17
      | ~ c1_1(X9)
      | ~ c0_1(X9)
      | c2_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1398,plain,
    ( ~ spl59_189
    | ~ spl59_191
    | ~ spl59_72
    | ~ spl59_190 ),
    inference(avatar_split_clause,[],[f1392,f1379,f714,f1395,f1374]) ).

fof(f1392,plain,
    ( ~ c0_1(a2196)
    | ~ c2_1(a2196)
    | ~ spl59_72
    | ~ spl59_190 ),
    inference(resolution,[],[f715,f1381]) ).

fof(f1382,plain,
    ( ~ spl59_40
    | spl59_190 ),
    inference(avatar_split_clause,[],[f126,f1379,f556]) ).

fof(f126,plain,
    ( c3_1(a2196)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1377,plain,
    ( ~ spl59_40
    | spl59_189 ),
    inference(avatar_split_clause,[],[f125,f1374,f556]) ).

fof(f125,plain,
    ( c2_1(a2196)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1372,plain,
    ( ~ spl59_2
    | spl59_72
    | spl59_28
    | spl59_22 ),
    inference(avatar_split_clause,[],[f194,f475,f502,f714,f375]) ).

fof(f194,plain,
    ! [X2] :
      ( hskp1
      | hskp11
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1360,plain,
    ( ~ spl59_1
    | spl59_188 ),
    inference(avatar_split_clause,[],[f8,f1357,f371]) ).

fof(f8,plain,
    ( c1_1(a2174)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1355,plain,
    ( ~ spl59_162
    | ~ spl59_23
    | ~ spl59_66
    | spl59_161 ),
    inference(avatar_split_clause,[],[f1334,f1147,f690,f479,f1154]) ).

fof(f1154,plain,
    ( spl59_162
  <=> c1_1(a2175) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_162])]) ).

fof(f1334,plain,
    ( ~ c2_1(a2175)
    | ~ c1_1(a2175)
    | ~ spl59_66
    | spl59_161 ),
    inference(resolution,[],[f691,f1149]) ).

fof(f1332,plain,
    ( ~ spl59_166
    | ~ spl59_169
    | ~ spl59_115
    | spl59_168 ),
    inference(avatar_split_clause,[],[f1327,f1207,f897,f1214,f1197]) ).

fof(f1327,plain,
    ( ~ c1_1(a2194)
    | ~ c0_1(a2194)
    | ~ spl59_115
    | spl59_168 ),
    inference(resolution,[],[f898,f1209]) ).

fof(f1209,plain,
    ( ~ c2_1(a2194)
    | spl59_168 ),
    inference(avatar_component_clause,[],[f1207]) ).

fof(f1321,plain,
    ( ~ spl59_185
    | ~ spl59_180
    | ~ spl59_72
    | ~ spl59_181 ),
    inference(avatar_split_clause,[],[f1310,f1288,f714,f1283,f1318]) ).

fof(f1310,plain,
    ( ~ c0_1(a2180)
    | ~ c2_1(a2180)
    | ~ spl59_72
    | ~ spl59_181 ),
    inference(resolution,[],[f715,f1290]) ).

fof(f1308,plain,
    ( ~ spl59_65
    | ~ spl59_2
    | spl59_72
    | spl59_26 ),
    inference(avatar_split_clause,[],[f325,f493,f714,f375,f686]) ).

fof(f686,plain,
    ( spl59_65
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_65])]) ).

fof(f325,plain,
    ! [X5] :
      ( hskp7
      | ~ c3_1(X5)
      | ~ c2_1(X5)
      | ~ c0_1(X5)
      | ~ ndr1_0
      | ~ sP0 ),
    inference(duplicate_literal_removal,[],[f208]) ).

fof(f208,plain,
    ! [X5] :
      ( hskp7
      | ~ c3_1(X5)
      | ~ c2_1(X5)
      | ~ c0_1(X5)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP0 ),
    inference(general_splitting,[],[f191,f207_D]) ).

fof(f207,plain,
    ! [X6] :
      ( ~ c2_1(X6)
      | ~ c1_1(X6)
      | c3_1(X6)
      | sP0 ),
    inference(cnf_transformation,[],[f207_D]) ).

fof(f207_D,plain,
    ( ! [X6] :
        ( ~ c2_1(X6)
        | ~ c1_1(X6)
        | c3_1(X6) )
  <=> ~ sP0 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f191,plain,
    ! [X6,X5] :
      ( hskp7
      | ~ c3_1(X5)
      | ~ c2_1(X5)
      | ~ c0_1(X5)
      | ~ ndr1_0
      | ~ c2_1(X6)
      | ~ c1_1(X6)
      | c3_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1296,plain,
    ( ~ spl59_6
    | ~ spl59_182 ),
    inference(avatar_split_clause,[],[f30,f1293,f395]) ).

fof(f395,plain,
    ( spl59_6
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_6])]) ).

fof(f30,plain,
    ( ~ c1_1(a2180)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1291,plain,
    ( ~ spl59_6
    | spl59_181 ),
    inference(avatar_split_clause,[],[f29,f1288,f395]) ).

fof(f29,plain,
    ( c3_1(a2180)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1286,plain,
    ( ~ spl59_6
    | spl59_180 ),
    inference(avatar_split_clause,[],[f28,f1283,f395]) ).

fof(f28,plain,
    ( c0_1(a2180)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1281,plain,
    ( ~ spl59_2
    | spl59_133
    | spl59_6
    | spl59_24 ),
    inference(avatar_split_clause,[],[f142,f484,f395,f979,f375]) ).

fof(f142,plain,
    ! [X97] :
      ( hskp6
      | hskp5
      | ~ c2_1(X97)
      | c1_1(X97)
      | c0_1(X97)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1280,plain,
    ( ~ spl59_44
    | ~ spl59_179
    | spl59_46
    | ~ spl59_177 ),
    inference(avatar_split_clause,[],[f1270,f1258,f585,f1277,f575]) ).

fof(f585,plain,
    ( spl59_46
  <=> c3_1(a2184) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_46])]) ).

fof(f1270,plain,
    ( ~ c2_1(a2184)
    | ~ c0_1(a2184)
    | spl59_46
    | ~ spl59_177 ),
    inference(resolution,[],[f1259,f587]) ).

fof(f587,plain,
    ( ~ c3_1(a2184)
    | spl59_46 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f1266,plain,
    ( spl59_176
    | ~ spl59_174
    | ~ spl59_133
    | spl59_175 ),
    inference(avatar_split_clause,[],[f1256,f1247,f979,f1242,f1252]) ).

fof(f1247,plain,
    ( spl59_175
  <=> c0_1(a2185) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_175])]) ).

fof(f1256,plain,
    ( ~ c2_1(a2185)
    | c1_1(a2185)
    | ~ spl59_133
    | spl59_175 ),
    inference(resolution,[],[f1249,f980]) ).

fof(f980,plain,
    ( ! [X101] :
        ( c0_1(X101)
        | ~ c2_1(X101)
        | c1_1(X101) )
    | ~ spl59_133 ),
    inference(avatar_component_clause,[],[f979]) ).

fof(f1249,plain,
    ( ~ c0_1(a2185)
    | spl59_175 ),
    inference(avatar_component_clause,[],[f1247]) ).

fof(f1265,plain,
    ( ~ spl59_28
    | spl59_178 ),
    inference(avatar_split_clause,[],[f53,f1262,f502]) ).

fof(f53,plain,
    ( c2_1(a2187)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1260,plain,
    ( ~ spl59_2
    | spl59_177
    | spl59_28
    | spl59_9 ),
    inference(avatar_split_clause,[],[f190,f410,f502,f1258,f375]) ).

fof(f190,plain,
    ! [X7] :
      ( hskp10
      | hskp11
      | ~ c2_1(X7)
      | ~ c0_1(X7)
      | c3_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1255,plain,
    ( ~ spl59_8
    | ~ spl59_176 ),
    inference(avatar_split_clause,[],[f46,f1252,f405]) ).

fof(f46,plain,
    ( ~ c1_1(a2185)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1250,plain,
    ( ~ spl59_8
    | ~ spl59_175 ),
    inference(avatar_split_clause,[],[f45,f1247,f405]) ).

fof(f45,plain,
    ( ~ c0_1(a2185)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1245,plain,
    ( ~ spl59_8
    | spl59_174 ),
    inference(avatar_split_clause,[],[f44,f1242,f405]) ).

fof(f44,plain,
    ( c2_1(a2185)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1239,plain,
    ( spl59_172
    | spl59_173
    | ~ spl59_122
    | ~ spl59_171 ),
    inference(avatar_split_clause,[],[f1234,f1225,f930,f1236,f1230]) ).

fof(f1234,plain,
    ( c0_1(a2197)
    | c1_1(a2197)
    | ~ spl59_122
    | ~ spl59_171 ),
    inference(resolution,[],[f1227,f931]) ).

fof(f931,plain,
    ( ! [X86] :
        ( ~ c3_1(X86)
        | c0_1(X86)
        | c1_1(X86) )
    | ~ spl59_122 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f1233,plain,
    ( ~ spl59_14
    | ~ spl59_172 ),
    inference(avatar_split_clause,[],[f78,f1230,f435]) ).

fof(f78,plain,
    ( ~ c1_1(a2197)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1228,plain,
    ( ~ spl59_14
    | spl59_171 ),
    inference(avatar_split_clause,[],[f77,f1225,f435]) ).

fof(f77,plain,
    ( c3_1(a2197)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1223,plain,
    ( ~ spl59_14
    | spl59_170 ),
    inference(avatar_split_clause,[],[f76,f1220,f435]) ).

fof(f76,plain,
    ( c2_1(a2197)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1218,plain,
    ( ~ spl59_2
    | spl59_108
    | spl59_40
    | spl59_14 ),
    inference(avatar_split_clause,[],[f159,f435,f556,f866,f375]) ).

fof(f159,plain,
    ! [X62] :
      ( hskp17
      | hskp29
      | ~ c1_1(X62)
      | c3_1(X62)
      | c0_1(X62)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1217,plain,
    ( ~ spl59_166
    | spl59_169
    | ~ spl59_83
    | spl59_168 ),
    inference(avatar_split_clause,[],[f1212,f1207,f759,f1214,f1197]) ).

fof(f1212,plain,
    ( c1_1(a2194)
    | ~ c0_1(a2194)
    | ~ spl59_83
    | spl59_168 ),
    inference(resolution,[],[f1209,f760]) ).

fof(f1210,plain,
    ( ~ spl59_12
    | ~ spl59_168 ),
    inference(avatar_split_clause,[],[f70,f1207,f425]) ).

fof(f70,plain,
    ( ~ c2_1(a2194)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1205,plain,
    ( ~ spl59_12
    | spl59_167 ),
    inference(avatar_split_clause,[],[f69,f1202,f425]) ).

fof(f69,plain,
    ( c3_1(a2194)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1200,plain,
    ( ~ spl59_12
    | spl59_166 ),
    inference(avatar_split_clause,[],[f68,f1197,f425]) ).

fof(f68,plain,
    ( c0_1(a2194)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1195,plain,
    ( ~ spl59_2
    | spl59_89
    | spl59_12
    | spl59_1 ),
    inference(avatar_split_clause,[],[f177,f371,f425,f783,f375]) ).

fof(f177,plain,
    ! [X27] :
      ( hskp0
      | hskp15
      | ~ c0_1(X27)
      | c3_1(X27)
      | c1_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1183,plain,
    ( ~ spl59_152
    | spl59_153
    | ~ spl59_89
    | spl59_154 ),
    inference(avatar_split_clause,[],[f1176,f1092,f783,f1087,f1082]) ).

fof(f1092,plain,
    ( spl59_154
  <=> c3_1(a2191) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_154])]) ).

fof(f1176,plain,
    ( c1_1(a2191)
    | ~ c0_1(a2191)
    | ~ spl59_89
    | spl59_154 ),
    inference(resolution,[],[f784,f1094]) ).

fof(f1094,plain,
    ( ~ c3_1(a2191)
    | spl59_154 ),
    inference(avatar_component_clause,[],[f1092]) ).

fof(f1171,plain,
    ( ~ spl59_163
    | spl59_157
    | ~ spl59_83
    | spl59_158 ),
    inference(avatar_split_clause,[],[f1163,f1130,f759,f1125,f1168]) ).

fof(f1163,plain,
    ( c1_1(a2195)
    | ~ c0_1(a2195)
    | ~ spl59_83
    | spl59_158 ),
    inference(resolution,[],[f760,f1132]) ).

fof(f1132,plain,
    ( ~ c2_1(a2195)
    | spl59_158 ),
    inference(avatar_component_clause,[],[f1130]) ).

fof(f1165,plain,
    ( ~ spl59_162
    | spl59_160
    | ~ spl59_108
    | spl59_161 ),
    inference(avatar_split_clause,[],[f1152,f1147,f866,f1142,f1154]) ).

fof(f1152,plain,
    ( c0_1(a2175)
    | ~ c1_1(a2175)
    | ~ spl59_108
    | spl59_161 ),
    inference(resolution,[],[f1149,f867]) ).

fof(f1157,plain,
    ( spl59_162
    | ~ spl59_23
    | ~ spl59_133
    | spl59_160 ),
    inference(avatar_split_clause,[],[f1151,f1142,f979,f479,f1154]) ).

fof(f1151,plain,
    ( ~ c2_1(a2175)
    | c1_1(a2175)
    | ~ spl59_133
    | spl59_160 ),
    inference(resolution,[],[f1144,f980]) ).

fof(f1144,plain,
    ( ~ c0_1(a2175)
    | spl59_160 ),
    inference(avatar_component_clause,[],[f1142]) ).

fof(f1150,plain,
    ( ~ spl59_22
    | ~ spl59_161 ),
    inference(avatar_split_clause,[],[f14,f1147,f475]) ).

fof(f14,plain,
    ( ~ c3_1(a2175)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1145,plain,
    ( ~ spl59_22
    | ~ spl59_160 ),
    inference(avatar_split_clause,[],[f13,f1142,f475]) ).

fof(f13,plain,
    ( ~ c0_1(a2175)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1140,plain,
    ( ~ spl59_2
    | spl59_83
    | spl59_42
    | spl59_22 ),
    inference(avatar_split_clause,[],[f173,f475,f565,f759,f375]) ).

fof(f173,plain,
    ! [X32] :
      ( hskp1
      | hskp30
      | ~ c0_1(X32)
      | c2_1(X32)
      | c1_1(X32)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1138,plain,
    ( ~ spl59_13
    | ~ spl59_159 ),
    inference(avatar_split_clause,[],[f74,f1135,f430]) ).

fof(f74,plain,
    ( ~ c3_1(a2195)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1133,plain,
    ( ~ spl59_13
    | ~ spl59_158 ),
    inference(avatar_split_clause,[],[f73,f1130,f430]) ).

fof(f73,plain,
    ( ~ c2_1(a2195)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1128,plain,
    ( ~ spl59_13
    | ~ spl59_157 ),
    inference(avatar_split_clause,[],[f72,f1125,f430]) ).

fof(f72,plain,
    ( ~ c1_1(a2195)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1123,plain,
    ( ~ spl59_155
    | spl59_57
    | spl59_58
    | ~ spl59_83 ),
    inference(avatar_split_clause,[],[f1121,f759,f649,f644,f1098]) ).

fof(f1098,plain,
    ( spl59_155
  <=> c0_1(a2193) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_155])]) ).

fof(f644,plain,
    ( spl59_57
  <=> c1_1(a2193) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_57])]) ).

fof(f649,plain,
    ( spl59_58
  <=> c2_1(a2193) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_58])]) ).

fof(f1121,plain,
    ( c1_1(a2193)
    | ~ c0_1(a2193)
    | spl59_58
    | ~ spl59_83 ),
    inference(resolution,[],[f760,f651]) ).

fof(f651,plain,
    ( ~ c2_1(a2193)
    | spl59_58 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f1119,plain,
    ( spl59_51
    | spl59_50
    | spl59_52
    | ~ spl59_138 ),
    inference(avatar_split_clause,[],[f1112,f1002,f617,f607,f612]) ).

fof(f1112,plain,
    ( c0_1(a2177)
    | c1_1(a2177)
    | spl59_52
    | ~ spl59_138 ),
    inference(resolution,[],[f1003,f619]) ).

fof(f1118,plain,
    ( ~ spl59_2
    | spl59_83
    | spl59_13 ),
    inference(avatar_split_clause,[],[f174,f430,f759,f375]) ).

fof(f174,plain,
    ! [X31] :
      ( hskp16
      | ~ c0_1(X31)
      | c2_1(X31)
      | c1_1(X31)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1101,plain,
    ( spl59_57
    | spl59_155
    | ~ spl59_56
    | ~ spl59_122 ),
    inference(avatar_split_clause,[],[f1077,f930,f639,f1098,f644]) ).

fof(f639,plain,
    ( spl59_56
  <=> c3_1(a2193) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_56])]) ).

fof(f1077,plain,
    ( c0_1(a2193)
    | c1_1(a2193)
    | ~ spl59_56
    | ~ spl59_122 ),
    inference(resolution,[],[f931,f641]) ).

fof(f641,plain,
    ( c3_1(a2193)
    | ~ spl59_56 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f1095,plain,
    ( ~ spl59_10
    | ~ spl59_154 ),
    inference(avatar_split_clause,[],[f62,f1092,f415]) ).

fof(f62,plain,
    ( ~ c3_1(a2191)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1090,plain,
    ( ~ spl59_10
    | ~ spl59_153 ),
    inference(avatar_split_clause,[],[f61,f1087,f415]) ).

fof(f61,plain,
    ( ~ c1_1(a2191)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1085,plain,
    ( ~ spl59_10
    | spl59_152 ),
    inference(avatar_split_clause,[],[f60,f1082,f415]) ).

fof(f60,plain,
    ( c0_1(a2191)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1080,plain,
    ( spl59_55
    | spl59_54
    | ~ spl59_53
    | ~ spl59_122 ),
    inference(avatar_split_clause,[],[f1076,f930,f623,f628,f633]) ).

fof(f1076,plain,
    ( c0_1(a2186)
    | c1_1(a2186)
    | ~ spl59_53
    | ~ spl59_122 ),
    inference(resolution,[],[f931,f625]) ).

fof(f1074,plain,
    ( ~ spl59_151
    | spl59_47
    | spl59_49
    | ~ spl59_108 ),
    inference(avatar_split_clause,[],[f1068,f866,f601,f591,f1071]) ).

fof(f1068,plain,
    ( c0_1(a2211)
    | ~ c1_1(a2211)
    | spl59_49
    | ~ spl59_108 ),
    inference(resolution,[],[f867,f603]) ).

fof(f1065,plain,
    ( ~ spl59_44
    | ~ spl59_45
    | spl59_46
    | ~ spl59_70 ),
    inference(avatar_split_clause,[],[f1062,f706,f585,f580,f575]) ).

fof(f1062,plain,
    ( ~ c1_1(a2184)
    | ~ c0_1(a2184)
    | spl59_46
    | ~ spl59_70 ),
    inference(resolution,[],[f707,f587]) ).

fof(f1060,plain,
    ( spl59_150
    | spl59_94 ),
    inference(avatar_split_clause,[],[f323,f804,f1057]) ).

fof(f1055,plain,
    ( spl59_149
    | spl59_146 ),
    inference(avatar_split_clause,[],[f321,f1038,f1052]) ).

fof(f1040,plain,
    ( spl59_145
    | spl59_146 ),
    inference(avatar_split_clause,[],[f315,f1038,f1034]) ).

fof(f1032,plain,
    ( spl59_143
    | spl59_144 ),
    inference(avatar_split_clause,[],[f313,f1030,f1026]) ).

fof(f1024,plain,
    ( spl59_142
    | spl59_138 ),
    inference(avatar_split_clause,[],[f311,f1002,f1021]) ).

fof(f1019,plain,
    ( spl59_141
    | spl59_74 ),
    inference(avatar_split_clause,[],[f309,f722,f1016]) ).

fof(f1014,plain,
    ( spl59_140
    | spl59_138 ),
    inference(avatar_split_clause,[],[f307,f1002,f1011]) ).

fof(f1009,plain,
    ( spl59_139
    | spl59_76 ),
    inference(avatar_split_clause,[],[f305,f730,f1006]) ).

fof(f996,plain,
    ( spl59_136
    | spl59_133 ),
    inference(avatar_split_clause,[],[f301,f979,f993]) ).

fof(f981,plain,
    ( spl59_132
    | spl59_133 ),
    inference(avatar_split_clause,[],[f295,f979,f975]) ).

fof(f973,plain,
    ( spl59_131
    | spl59_91 ),
    inference(avatar_split_clause,[],[f293,f791,f970]) ).

fof(f968,plain,
    ( spl59_129
    | spl59_130 ),
    inference(avatar_split_clause,[],[f291,f966,f962]) ).

fof(f960,plain,
    ( spl59_128
    | spl59_122 ),
    inference(avatar_split_clause,[],[f289,f930,f957]) ).

fof(f955,plain,
    ( spl59_126
    | spl59_127 ),
    inference(avatar_split_clause,[],[f287,f953,f949]) ).

fof(f947,plain,
    ( spl59_125
    | spl59_122 ),
    inference(avatar_split_clause,[],[f285,f930,f944]) ).

fof(f942,plain,
    ( spl59_124
    | spl59_101 ),
    inference(avatar_split_clause,[],[f283,f835,f939]) ).

fof(f937,plain,
    ( spl59_123
    | spl59_122 ),
    inference(avatar_split_clause,[],[f281,f930,f934]) ).

fof(f924,plain,
    ( spl59_120
    | spl59_85 ),
    inference(avatar_split_clause,[],[f277,f767,f921]) ).

fof(f878,plain,
    ( spl59_110
    | spl59_85 ),
    inference(avatar_split_clause,[],[f261,f767,f875]) ).

fof(f873,plain,
    ( spl59_109
    | spl59_108 ),
    inference(avatar_split_clause,[],[f259,f866,f870]) ).

fof(f868,plain,
    ( spl59_107
    | spl59_108 ),
    inference(avatar_split_clause,[],[f257,f866,f862]) ).

fof(f860,plain,
    ( spl59_106
    | spl59_74 ),
    inference(avatar_split_clause,[],[f255,f722,f857]) ).

fof(f855,plain,
    ( spl59_104
    | spl59_105 ),
    inference(avatar_split_clause,[],[f253,f853,f849]) ).

fof(f837,plain,
    ( spl59_100
    | spl59_101 ),
    inference(avatar_split_clause,[],[f247,f835,f831]) ).

fof(f829,plain,
    ( spl59_99
    | spl59_94 ),
    inference(avatar_split_clause,[],[f245,f804,f826]) ).

fof(f824,plain,
    ( spl59_98
    | spl59_83 ),
    inference(avatar_split_clause,[],[f243,f759,f821]) ).

fof(f819,plain,
    ( spl59_97
    | spl59_94 ),
    inference(avatar_split_clause,[],[f241,f804,f816]) ).

fof(f814,plain,
    ( spl59_95
    | spl59_96 ),
    inference(avatar_split_clause,[],[f239,f812,f808]) ).

fof(f806,plain,
    ( spl59_93
    | spl59_94 ),
    inference(avatar_split_clause,[],[f237,f804,f800]) ).

fof(f798,plain,
    ( spl59_92
    | spl59_70 ),
    inference(avatar_split_clause,[],[f235,f706,f795]) ).

fof(f793,plain,
    ( spl59_90
    | spl59_91 ),
    inference(avatar_split_clause,[],[f233,f791,f787]) ).

fof(f785,plain,
    ( spl59_88
    | spl59_89 ),
    inference(avatar_split_clause,[],[f231,f783,f779]) ).

fof(f777,plain,
    ( spl59_86
    | spl59_87 ),
    inference(avatar_split_clause,[],[f229,f775,f771]) ).

fof(f769,plain,
    ( spl59_84
    | spl59_85 ),
    inference(avatar_split_clause,[],[f227,f767,f763]) ).

fof(f761,plain,
    ( spl59_82
    | spl59_83 ),
    inference(avatar_split_clause,[],[f225,f759,f755]) ).

fof(f753,plain,
    ( spl59_81
    | spl59_74 ),
    inference(avatar_split_clause,[],[f223,f722,f750]) ).

fof(f732,plain,
    ( spl59_75
    | spl59_76 ),
    inference(avatar_split_clause,[],[f217,f730,f726]) ).

fof(f724,plain,
    ( spl59_73
    | spl59_74 ),
    inference(avatar_split_clause,[],[f215,f722,f718]) ).

fof(f716,plain,
    ( spl59_71
    | spl59_72 ),
    inference(avatar_split_clause,[],[f213,f714,f710]) ).

fof(f692,plain,
    ( spl59_65
    | spl59_66 ),
    inference(avatar_split_clause,[],[f207,f690,f686]) ).

fof(f684,plain,
    ( ~ spl59_19
    | ~ spl59_64 ),
    inference(avatar_split_clause,[],[f106,f681,f460]) ).

fof(f106,plain,
    ( ~ c0_1(a2262)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f679,plain,
    ( ~ spl59_19
    | spl59_63 ),
    inference(avatar_split_clause,[],[f105,f676,f460]) ).

fof(f105,plain,
    ( c3_1(a2262)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f674,plain,
    ( ~ spl59_19
    | spl59_62 ),
    inference(avatar_split_clause,[],[f104,f671,f460]) ).

fof(f104,plain,
    ( c1_1(a2262)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f669,plain,
    ( spl59_19
    | spl59_21
    | spl59_14 ),
    inference(avatar_split_clause,[],[f204,f435,f470,f460]) ).

fof(f204,plain,
    ( hskp17
    | hskp26
    | hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f668,plain,
    ( ~ spl59_17
    | ~ spl59_61 ),
    inference(avatar_split_clause,[],[f98,f665,f450]) ).

fof(f98,plain,
    ( ~ c3_1(a2219)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f663,plain,
    ( ~ spl59_17
    | ~ spl59_60 ),
    inference(avatar_split_clause,[],[f97,f660,f450]) ).

fof(f97,plain,
    ( ~ c1_1(a2219)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f658,plain,
    ( ~ spl59_17
    | spl59_59 ),
    inference(avatar_split_clause,[],[f96,f655,f450]) ).

fof(f96,plain,
    ( c2_1(a2219)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f653,plain,
    ( spl59_16
    | spl59_20
    | spl59_17 ),
    inference(avatar_split_clause,[],[f203,f450,f465,f445]) ).

fof(f203,plain,
    ( hskp22
    | hskp25
    | hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f652,plain,
    ( ~ spl59_11
    | ~ spl59_58 ),
    inference(avatar_split_clause,[],[f66,f649,f420]) ).

fof(f66,plain,
    ( ~ c2_1(a2193)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f647,plain,
    ( ~ spl59_11
    | ~ spl59_57 ),
    inference(avatar_split_clause,[],[f65,f644,f420]) ).

fof(f65,plain,
    ( ~ c1_1(a2193)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f642,plain,
    ( ~ spl59_11
    | spl59_56 ),
    inference(avatar_split_clause,[],[f64,f639,f420]) ).

fof(f64,plain,
    ( c3_1(a2193)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f637,plain,
    ( spl59_10
    | spl59_19
    | spl59_11 ),
    inference(avatar_split_clause,[],[f202,f420,f460,f415]) ).

fof(f202,plain,
    ( hskp14
    | hskp24
    | hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f636,plain,
    ( ~ spl59_9
    | ~ spl59_55 ),
    inference(avatar_split_clause,[],[f50,f633,f410]) ).

fof(f50,plain,
    ( ~ c1_1(a2186)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f631,plain,
    ( ~ spl59_9
    | ~ spl59_54 ),
    inference(avatar_split_clause,[],[f49,f628,f410]) ).

fof(f49,plain,
    ( ~ c0_1(a2186)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f626,plain,
    ( ~ spl59_9
    | spl59_53 ),
    inference(avatar_split_clause,[],[f48,f623,f410]) ).

fof(f48,plain,
    ( c3_1(a2186)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f621,plain,
    ( spl59_10
    | spl59_1
    | spl59_9 ),
    inference(avatar_split_clause,[],[f201,f410,f371,f415]) ).

fof(f201,plain,
    ( hskp10
    | hskp0
    | hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f620,plain,
    ( ~ spl59_4
    | ~ spl59_52 ),
    inference(avatar_split_clause,[],[f22,f617,f385]) ).

fof(f22,plain,
    ( ~ c3_1(a2177)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f615,plain,
    ( ~ spl59_4
    | ~ spl59_51 ),
    inference(avatar_split_clause,[],[f21,f612,f385]) ).

fof(f21,plain,
    ( ~ c1_1(a2177)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f610,plain,
    ( ~ spl59_4
    | ~ spl59_50 ),
    inference(avatar_split_clause,[],[f20,f607,f385]) ).

fof(f20,plain,
    ( ~ c0_1(a2177)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f604,plain,
    ( ~ spl59_15
    | ~ spl59_49 ),
    inference(avatar_split_clause,[],[f86,f601,f440]) ).

fof(f86,plain,
    ( ~ c3_1(a2211)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f599,plain,
    ( ~ spl59_15
    | ~ spl59_48 ),
    inference(avatar_split_clause,[],[f85,f596,f440]) ).

fof(f85,plain,
    ( ~ c2_1(a2211)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f594,plain,
    ( ~ spl59_15
    | ~ spl59_47 ),
    inference(avatar_split_clause,[],[f84,f591,f440]) ).

fof(f84,plain,
    ( ~ c0_1(a2211)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f589,plain,
    ( spl59_6
    | spl59_3
    | spl59_15 ),
    inference(avatar_split_clause,[],[f198,f440,f380,f395]) ).

fof(f198,plain,
    ( hskp19
    | hskp2
    | hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f588,plain,
    ( ~ spl59_7
    | ~ spl59_46 ),
    inference(avatar_split_clause,[],[f42,f585,f400]) ).

fof(f400,plain,
    ( spl59_7
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_7])]) ).

fof(f42,plain,
    ( ~ c3_1(a2184)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f583,plain,
    ( ~ spl59_7
    | spl59_45 ),
    inference(avatar_split_clause,[],[f41,f580,f400]) ).

fof(f41,plain,
    ( c1_1(a2184)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f578,plain,
    ( ~ spl59_7
    | spl59_44 ),
    inference(avatar_split_clause,[],[f40,f575,f400]) ).

fof(f40,plain,
    ( c0_1(a2184)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f573,plain,
    ( spl59_7
    | spl59_5
    | spl59_18 ),
    inference(avatar_split_clause,[],[f197,f455,f390,f400]) ).

fof(f197,plain,
    ( hskp23
    | hskp4
    | hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f572,plain,
    ( ~ spl59_42
    | spl59_43 ),
    inference(avatar_split_clause,[],[f128,f569,f565]) ).

fof(f128,plain,
    ( c0_1(a2208)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f563,plain,
    ( ~ spl59_40
    | spl59_41 ),
    inference(avatar_split_clause,[],[f124,f560,f556]) ).

fof(f124,plain,
    ( c1_1(a2196)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f554,plain,
    ( ~ spl59_38
    | spl59_39 ),
    inference(avatar_split_clause,[],[f120,f551,f547]) ).

fof(f120,plain,
    ( c0_1(a2188)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f545,plain,
    ( ~ spl59_36
    | spl59_37 ),
    inference(avatar_split_clause,[],[f116,f542,f538]) ).

fof(f116,plain,
    ( c0_1(a2178)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f509,plain,
    ( ~ spl59_28
    | spl59_29 ),
    inference(avatar_split_clause,[],[f52,f506,f502]) ).

fof(f52,plain,
    ( c0_1(a2187)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f500,plain,
    ( ~ spl59_26
    | spl59_27 ),
    inference(avatar_split_clause,[],[f36,f497,f493]) ).

fof(f36,plain,
    ( c2_1(a2182)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f491,plain,
    ( ~ spl59_24
    | spl59_25 ),
    inference(avatar_split_clause,[],[f32,f488,f484]) ).

fof(f32,plain,
    ( c1_1(a2181)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f482,plain,
    ( ~ spl59_22
    | spl59_23 ),
    inference(avatar_split_clause,[],[f12,f479,f475]) ).

fof(f12,plain,
    ( c2_1(a2175)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f468,plain,
    ( ~ spl59_20
    | spl59_2 ),
    inference(avatar_split_clause,[],[f107,f375,f465]) ).

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

fof(f453,plain,
    ( ~ spl59_17
    | spl59_2 ),
    inference(avatar_split_clause,[],[f95,f375,f450]) ).

fof(f95,plain,
    ( ndr1_0
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f448,plain,
    ( ~ spl59_16
    | spl59_2 ),
    inference(avatar_split_clause,[],[f91,f375,f445]) ).

fof(f91,plain,
    ( ndr1_0
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f438,plain,
    ( ~ spl59_14
    | spl59_2 ),
    inference(avatar_split_clause,[],[f75,f375,f435]) ).

fof(f75,plain,
    ( ndr1_0
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN486+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 : n015.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 02:12:33 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (17656)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (17657)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37  Detected minimum model sizes of [1]
% 0.15/0.37  Detected maximum model sizes of [31]
% 0.15/0.37  TRYING [1]
% 0.15/0.37  TRYING [2]
% 0.15/0.37  TRYING [3]
% 0.15/0.38  % (17658)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (17659)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)
% 0.15/0.38  % (17661)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38  % (17662)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38  % (17660)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38  % (17663)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)
% 0.15/0.38  TRYING [4]
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [31]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.39  Detected minimum model sizes of [1]
% 0.15/0.39  Detected maximum model sizes of [31]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [5]
% 0.15/0.39  Detected minimum model sizes of [1]
% 0.15/0.39  Detected maximum model sizes of [31]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [4]
% 0.15/0.39  TRYING [3]
% 0.15/0.40  TRYING [4]
% 0.21/0.40  TRYING [4]
% 0.21/0.42  TRYING [5]
% 0.21/0.42  TRYING [5]
% 0.21/0.42  TRYING [5]
% 0.21/0.43  TRYING [6]
% 0.21/0.46  % (17659)First to succeed.
% 0.21/0.47  % (17662)Also succeeded, but the first one will report.
% 0.21/0.47  % (17659)Refutation found. Thanks to Tanya!
% 0.21/0.47  % SZS status Theorem for theBenchmark
% 0.21/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.48  % (17659)------------------------------
% 0.21/0.48  % (17659)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.48  % (17659)Termination reason: Refutation
% 0.21/0.48  
% 0.21/0.48  % (17659)Memory used [KB]: 2123
% 0.21/0.48  % (17659)Time elapsed: 0.094 s
% 0.21/0.48  % (17659)Instructions burned: 172 (million)
% 0.21/0.48  % (17659)------------------------------
% 0.21/0.48  % (17659)------------------------------
% 0.21/0.48  % (17656)Success in time 0.116 s
%------------------------------------------------------------------------------